Details

Time bar (total: 2.5s)

analyze3.0ms (0.1%)

Algorithm
1×search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%100%0%0%0%0%0
0%0%100%0%0%0%0%1
0%0%100%0%0%0%0%2
50%50%50%0%0%0%0%3
75%75%25%0%0%0%0%4
87.5%87.5%12.5%0%0%0%0%5
93.8%93.7%6.2%0%0%0%0%6
96.9%96.8%3.1%0%0%0%0%7
98.4%98.4%1.6%0%0%0%0%8
99.2%99.2%0.8%0%0%0%0%9
99.6%99.6%0.4%0%0%0%0%10
99.8%99.8%0.2%0%0%0%0%11
99.9%99.9%0.1%0%0%0%0%12
Compiler

Compiled 10 to 5 computations (50% saved)

sample1.1s (42.6%)

Results
1.0s8256×body256valid
Bogosity

preprocess14.0ms (0.5%)

Algorithm
2×egg-herbie
Rules
4×*-commutative
4×associate-*r*
4×count-2
2×fma-def
2×hypot-def
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
077
1147
2177
3207
011
Stop Event
1×saturated
1×saturated
Calls
Call 1
Inputs
0
Outputs
0
Call 2
Inputs
(sqrt.f64 (+.f64 (*.f64 x x) (*.f64 x x)))
Outputs
(sqrt.f64 (+.f64 (*.f64 x x) (*.f64 x x)))
(hypot.f64 x x)
Compiler

Compiled 10 to 5 computations (50% saved)

simplify12.0ms (0.5%)

Algorithm
1×egg-herbie
Rules
4×*-commutative
4×associate-*r*
4×count-2
2×fma-def
2×hypot-def
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
077
1147
2177
3207
Stop Event
1×saturated
Counts
1 → 2
Calls
Call 1
Inputs
(sqrt.f64 (+.f64 (*.f64 x x) (*.f64 x x)))
Outputs
(sqrt.f64 (+.f64 (*.f64 x x) (*.f64 x x)))
(hypot.f64 x x)

eval0.0ms (0%)

Compiler

Compiled 12 to 5 computations (58.3% saved)

prune1.0ms (0%)

Pruning

3 alts after pruning (3 fresh and 0 done)

PrunedKeptTotal
New022
Fresh011
Picked000
Done000
Total033
Accurracy
100.0%
Counts
3 → 2
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶100.0%
(hypot.f64 x x)
▶54.4%
(sqrt.f64 (+.f64 (*.f64 x x) (*.f64 x x)))
Compiler

Compiled 13 to 6 computations (53.8% saved)

localize5.0ms (0.2%)

Local Accuracy

Found 2 expressions with local accuracy:

NewAccuracyProgram
✓100.0%
(+.f64 (*.f64 x x) (*.f64 x x))
✓55.9%
(sqrt.f64 (+.f64 (*.f64 x x) (*.f64 x x)))
Compiler

Compiled 20 to 4 computations (80% saved)

series2.0ms (0.1%)

Counts
2 → 24
Calls

6 calls:

TimeVariablePointExpression
0.0ms
x
@0
(sqrt.f64 (+.f64 (*.f64 x x) (*.f64 x x)))
0.0ms
x
@inf
(sqrt.f64 (+.f64 (*.f64 x x) (*.f64 x x)))
0.0ms
x
@inf
(+.f64 (*.f64 x x) (*.f64 x x))
0.0ms
x
@0
(+.f64 (*.f64 x x) (*.f64 x x))
0.0ms
x
@-inf
(+.f64 (*.f64 x x) (*.f64 x x))

rewrite87.0ms (3.5%)

Algorithm
1×batch-egg-rewrite
Rules
1208×pow1
1126×add-exp-log
1124×log1p-expm1-u
1124×expm1-log1p-u
1098×add-log-exp
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0714
115014
2202014
Stop Event
1×node limit
Counts
2 → 124
Calls
Call 1
Inputs
(sqrt.f64 (+.f64 (*.f64 x x) (*.f64 x x)))
(+.f64 (*.f64 x x) (*.f64 x x))
Outputs
(((+.f64 (*.f64 x x) (*.f64 x x)) #(struct:egraph-query ((sqrt.f64 (+.f64 (*.f64 x x) (*.f64 x x))) (+.f64 (*.f64 x x) (*.f64 x x))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((+.f64 (*.f64 (/.f64 0 0) (*.f64 x x)) (*.f64 (/.f64 0 0) (*.f64 x x))) #(struct:egraph-query ((sqrt.f64 (+.f64 (*.f64 x x) (*.f64 x x))) (+.f64 (*.f64 x x) (*.f64 x x))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((+.f64 (*.f64 (*.f64 x x) (/.f64 0 0)) (*.f64 (*.f64 x x) (/.f64 0 0))) #(struct:egraph-query ((sqrt.f64 (+.f64 (*.f64 x x) (*.f64 x x))) (+.f64 (*.f64 x x) (*.f64 x x))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((-.f64 (+.f64 1 (/.f64 0 0)) 1) #(struct:egraph-query ((sqrt.f64 (+.f64 (*.f64 x x) (*.f64 x x))) (+.f64 (*.f64 x x) (*.f64 x x))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((-.f64 (/.f64 (pow.f64 x 4) 0) (/.f64 (pow.f64 x 4) 0)) #(struct:egraph-query ((sqrt.f64 (+.f64 (*.f64 x x) (*.f64 x x))) (+.f64 (*.f64 x x) (*.f64 x x))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((*.f64 x (+.f64 x x)) #(struct:egraph-query ((sqrt.f64 (+.f64 (*.f64 x x) (*.f64 x x))) (+.f64 (*.f64 x x) (*.f64 x x))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((*.f64 x (*.f64 (+.f64 x x) (/.f64 0 0))) #(struct:egraph-query ((sqrt.f64 (+.f64 (*.f64 x x) (*.f64 x x))) (+.f64 (*.f64 x x) (*.f64 x x))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((*.f64 (*.f64 x x) 2) #(struct:egraph-query ((sqrt.f64 (+.f64 (*.f64 x x) (*.f64 x x))) (+.f64 (*.f64 x x) (*.f64 x x))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((*.f64 (*.f64 x x) (*.f64 (+.f64 x x) (+.f64 x x))) #(struct:egraph-query ((sqrt.f64 (+.f64 (*.f64 x x) (*.f64 x x))) (+.f64 (*.f64 x x) (*.f64 x x))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((*.f64 (/.f64 0 0) (/.f64 0 0)) #(struct:egraph-query ((sqrt.f64 (+.f64 (*.f64 x x) (*.f64 x x))) (+.f64 (*.f64 x x) (*.f64 x x))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((*.f64 (/.f64 0 0) 1) #(struct:egraph-query ((sqrt.f64 (+.f64 (*.f64 x x) (*.f64 x x))) (+.f64 (*.f64 x x) (*.f64 x x))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((*.f64 1 (/.f64 0 0)) #(struct:egraph-query ((sqrt.f64 (+.f64 (*.f64 x x) (*.f64 x x))) (+.f64 (*.f64 x x) (*.f64 x x))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((*.f64 (pow.f64 (cbrt.f64 x) 2) (+.f64 (cbrt.f64 (pow.f64 x 4)) (cbrt.f64 (pow.f64 x 4)))) #(struct:egraph-query ((sqrt.f64 (+.f64 (*.f64 x x) (*.f64 x x))) (+.f64 (*.f64 x x) (*.f64 x x))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((*.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) (+.f64 x x))) #(struct:egraph-query ((sqrt.f64 (+.f64 (*.f64 x x) (*.f64 x x))) (+.f64 (*.f64 x x) (*.f64 x x))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((*.f64 (cbrt.f64 (pow.f64 x 4)) (+.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 x) 2))) #(struct:egraph-query ((sqrt.f64 (+.f64 (*.f64 x x) (*.f64 x x))) (+.f64 (*.f64 x x) (*.f64 x x))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((*.f64 (cbrt.f64 x) (cbrt.f64 (+.f64 x x))) #(struct:egraph-query ((sqrt.f64 (+.f64 (*.f64 x x) (*.f64 x x))) (+.f64 (*.f64 x x) (*.f64 x x))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((*.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x x))) #(struct:egraph-query ((sqrt.f64 (+.f64 (*.f64 x x) (*.f64 x x))) (+.f64 (*.f64 x x) (*.f64 x x))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((*.f64 (sqrt.f64 x) (pow.f64 (+.f64 x x) 1/2)) #(struct:egraph-query ((sqrt.f64 (+.f64 (*.f64 x x) (*.f64 x x))) (+.f64 (*.f64 x x) (*.f64 x x))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (+.f64 x x))) #(struct:egraph-query ((sqrt.f64 (+.f64 (*.f64 x x) (*.f64 x x))) (+.f64 (*.f64 x x) (*.f64 x x))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((*.f64 2 (*.f64 x x)) #(struct:egraph-query ((sqrt.f64 (+.f64 (*.f64 x x) (*.f64 x x))) (+.f64 (*.f64 x x) (*.f64 x x))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((*.f64 2 (*.f64 (*.f64 x x) (/.f64 0 0))) #(struct:egraph-query ((sqrt.f64 (+.f64 (*.f64 x x) (*.f64 x x))) (+.f64 (*.f64 x x) (*.f64 x x))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((*.f64 (*.f64 2 (pow.f64 x 6)) (/.f64 1 (+.f64 (pow.f64 x 4) 0))) #(struct:egraph-query ((sqrt.f64 (+.f64 (*.f64 x x) (*.f64 x x))) (+.f64 (*.f64 x x) (*.f64 x x))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((*.f64 0 (/.f64 1 0)) #(struct:egraph-query ((sqrt.f64 (+.f64 (*.f64 x x) (*.f64 x x))) (+.f64 (*.f64 x x) (*.f64 x x))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((*.f64 (+.f64 x x) x) #(struct:egraph-query ((sqrt.f64 (+.f64 (*.f64 x x) (*.f64 x x))) (+.f64 (*.f64 x x) (*.f64 x x))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((*.f64 (cbrt.f64 2) (pow.f64 (cbrt.f64 x) 2)) #(struct:egraph-query ((sqrt.f64 (+.f64 (*.f64 x x) (*.f64 x x))) (+.f64 (*.f64 x x) (*.f64 x x))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((*.f64 4 (pow.f64 x 4)) #(struct:egraph-query ((sqrt.f64 (+.f64 (*.f64 x x) (*.f64 x x))) (+.f64 (*.f64 x x) (*.f64 x x))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((*.f64 (sqrt.f64 2) x) #(struct:egraph-query ((sqrt.f64 (+.f64 (*.f64 x x) (*.f64 x x))) (+.f64 (*.f64 x x) (*.f64 x x))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((*.f64 (pow.f64 1 1/2) (/.f64 0 0)) #(struct:egraph-query ((sqrt.f64 (+.f64 (*.f64 x x) (*.f64 x x))) (+.f64 (*.f64 x x) (*.f64 x x))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((*.f64 (pow.f64 2 1/2) x) #(struct:egraph-query ((sqrt.f64 (+.f64 (*.f64 x x) (*.f64 x x))) (+.f64 (*.f64 x x) (*.f64 x x))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((*.f64 (*.f64 (/.f64 0 0) x) (+.f64 x x)) #(struct:egraph-query ((sqrt.f64 (+.f64 (*.f64 x x) (*.f64 x x))) (+.f64 (*.f64 x x) (*.f64 x x))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((*.f64 (*.f64 (/.f64 0 0) 2) (*.f64 x x)) #(struct:egraph-query ((sqrt.f64 (+.f64 (*.f64 x x) (*.f64 x x))) (+.f64 (*.f64 x x) (*.f64 x x))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((*.f64 (*.f64 2 (cbrt.f64 (pow.f64 x 4))) (pow.f64 (cbrt.f64 x) 2)) #(struct:egraph-query ((sqrt.f64 (+.f64 (*.f64 x x) (*.f64 x x))) (+.f64 (*.f64 x x) (*.f64 x x))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((/.f64 1 (/.f64 0 0)) #(struct:egraph-query ((sqrt.f64 (+.f64 (*.f64 x x) (*.f64 x x))) (+.f64 (*.f64 x x) (*.f64 x x))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((/.f64 1 (/.f64 (+.f64 (pow.f64 x 4) 0) (*.f64 2 (pow.f64 x 6)))) #(struct:egraph-query ((sqrt.f64 (+.f64 (*.f64 x x) (*.f64 x x))) (+.f64 (*.f64 x x) (*.f64 x x))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((/.f64 (*.f64 2 (pow.f64 x 6)) (+.f64 (pow.f64 x 4) 0)) #(struct:egraph-query ((sqrt.f64 (+.f64 (*.f64 x x) (*.f64 x x))) (+.f64 (*.f64 x x) (*.f64 x x))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((/.f64 0 0) #(struct:egraph-query ((sqrt.f64 (+.f64 (*.f64 x x) (*.f64 x x))) (+.f64 (*.f64 x x) (*.f64 x x))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((/.f64 (cbrt.f64 (*.f64 2 (pow.f64 x 6))) (cbrt.f64 (+.f64 (pow.f64 x 4) 0))) #(struct:egraph-query ((sqrt.f64 (+.f64 (*.f64 x x) (*.f64 x x))) (+.f64 (*.f64 x x) (*.f64 x x))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((/.f64 (*.f64 (*.f64 2 (pow.f64 x 6)) (*.f64 2 (pow.f64 x 6))) (*.f64 (+.f64 (pow.f64 x 4) 0) (+.f64 (pow.f64 x 4) 0))) #(struct:egraph-query ((sqrt.f64 (+.f64 (*.f64 x x) (*.f64 x x))) (+.f64 (*.f64 x x) (*.f64 x x))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((/.f64 (sqrt.f64 0) (sqrt.f64 0)) #(struct:egraph-query ((sqrt.f64 (+.f64 (*.f64 x x) (*.f64 x x))) (+.f64 (*.f64 x x) (*.f64 x x))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((/.f64 (sqrt.f64 (*.f64 2 (pow.f64 x 6))) (sqrt.f64 (+.f64 (pow.f64 x 4) 0))) #(struct:egraph-query ((sqrt.f64 (+.f64 (*.f64 x x) (*.f64 x x))) (+.f64 (*.f64 x x) (*.f64 x x))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((/.f64 (*.f64 (*.f64 2 (pow.f64 x 6)) 0) (*.f64 (+.f64 (pow.f64 x 4) 0) 0)) #(struct:egraph-query ((sqrt.f64 (+.f64 (*.f64 x x) (*.f64 x x))) (+.f64 (*.f64 x x) (*.f64 x x))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((/.f64 (*.f64 0 (*.f64 2 (pow.f64 x 6))) (*.f64 0 (+.f64 (pow.f64 x 4) 0))) #(struct:egraph-query ((sqrt.f64 (+.f64 (*.f64 x x) (*.f64 x x))) (+.f64 (*.f64 x x) (*.f64 x x))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((/.f64 (neg.f64 (*.f64 2 (pow.f64 x 6))) (neg.f64 (+.f64 (pow.f64 x 4) 0))) #(struct:egraph-query ((sqrt.f64 (+.f64 (*.f64 x x) (*.f64 x x))) (+.f64 (*.f64 x x) (*.f64 x x))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((/.f64 (*.f64 (/.f64 0 0) (*.f64 2 (pow.f64 x 6))) (+.f64 (pow.f64 x 4) 0)) #(struct:egraph-query ((sqrt.f64 (+.f64 (*.f64 x x) (*.f64 x x))) (+.f64 (*.f64 x x) (*.f64 x x))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((/.f64 (*.f64 (*.f64 2 (pow.f64 x 6)) (/.f64 0 0)) (+.f64 (pow.f64 x 4) 0)) #(struct:egraph-query ((sqrt.f64 (+.f64 (*.f64 x x) (*.f64 x x))) (+.f64 (*.f64 x x) (*.f64 x x))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((/.f64 (*.f64 0 (/.f64 0 0)) 0) #(struct:egraph-query ((sqrt.f64 (+.f64 (*.f64 x x) (*.f64 x x))) (+.f64 (*.f64 x x) (*.f64 x x))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((pow.f64 (/.f64 0 0) 1) #(struct:egraph-query ((sqrt.f64 (+.f64 (*.f64 x x) (*.f64 x x))) (+.f64 (*.f64 x x) (*.f64 x x))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((pow.f64 (/.f64 0 0) 1/2) #(struct:egraph-query ((sqrt.f64 (+.f64 (*.f64 x x) (*.f64 x x))) (+.f64 (*.f64 x x) (*.f64 x x))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((pow.f64 (/.f64 0 0) 2) #(struct:egraph-query ((sqrt.f64 (+.f64 (*.f64 x x) (*.f64 x x))) (+.f64 (*.f64 x x) (*.f64 x x))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((pow.f64 (/.f64 0 0) 3) #(struct:egraph-query ((sqrt.f64 (+.f64 (*.f64 x x) (*.f64 x x))) (+.f64 (*.f64 x x) (*.f64 x x))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((pow.f64 (/.f64 0 0) 1/4) #(struct:egraph-query ((sqrt.f64 (+.f64 (*.f64 x x) (*.f64 x x))) (+.f64 (*.f64 x x) (*.f64 x x))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((pow.f64 (/.f64 0 0) 3/2) #(struct:egraph-query ((sqrt.f64 (+.f64 (*.f64 x x) (*.f64 x x))) (+.f64 (*.f64 x x) (*.f64 x x))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((pow.f64 (/.f64 0 0) 1/3) #(struct:egraph-query ((sqrt.f64 (+.f64 (*.f64 x x) (*.f64 x x))) (+.f64 (*.f64 x x) (*.f64 x x))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((fabs.f64 (/.f64 0 0)) #(struct:egraph-query ((sqrt.f64 (+.f64 (*.f64 x x) (*.f64 x x))) (+.f64 (*.f64 x x) (*.f64 x x))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((log.f64 (exp.f64 (/.f64 0 0))) #(struct:egraph-query ((sqrt.f64 (+.f64 (*.f64 x x) (*.f64 x x))) (+.f64 (*.f64 x x) (*.f64 x x))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((cbrt.f64 (/.f64 0 0)) #(struct:egraph-query ((sqrt.f64 (+.f64 (*.f64 x x) (*.f64 x x))) (+.f64 (*.f64 x x) (*.f64 x x))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((expm1.f64 (log1p.f64 (/.f64 0 0))) #(struct:egraph-query ((sqrt.f64 (+.f64 (*.f64 x x) (*.f64 x x))) (+.f64 (*.f64 x x) (*.f64 x x))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((hypot.f64 x x) #(struct:egraph-query ((sqrt.f64 (+.f64 (*.f64 x x) (*.f64 x x))) (+.f64 (*.f64 x x) (*.f64 x x))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((exp.f64 (log.f64 (/.f64 0 0))) #(struct:egraph-query ((sqrt.f64 (+.f64 (*.f64 x x) (*.f64 x x))) (+.f64 (*.f64 x x) (*.f64 x x))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((log1p.f64 (expm1.f64 (/.f64 0 0))) #(struct:egraph-query ((sqrt.f64 (+.f64 (*.f64 x x) (*.f64 x x))) (+.f64 (*.f64 x x) (*.f64 x x))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((fma.f64 x x (*.f64 x x)) #(struct:egraph-query ((sqrt.f64 (+.f64 (*.f64 x x) (*.f64 x x))) (+.f64 (*.f64 x x) (*.f64 x x))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((fma.f64 1 (*.f64 x x) (*.f64 x x)) #(struct:egraph-query ((sqrt.f64 (+.f64 (*.f64 x x) (*.f64 x x))) (+.f64 (*.f64 x x) (*.f64 x x))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((fma.f64 (cbrt.f64 (pow.f64 x 4)) (pow.f64 (cbrt.f64 x) 2) (*.f64 x x)) #(struct:egraph-query ((sqrt.f64 (+.f64 (*.f64 x x) (*.f64 x x))) (+.f64 (*.f64 x x) (*.f64 x x))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)))
(((-.f64 (+.f64 1 (/.f64 0 0)) 1) #(struct:egraph-query ((sqrt.f64 (+.f64 (*.f64 x x) (*.f64 x x))) (+.f64 (*.f64 x x) (*.f64 x x))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((-.f64 (/.f64 (pow.f64 x 4) 0) (/.f64 (pow.f64 x 4) 0)) #(struct:egraph-query ((sqrt.f64 (+.f64 (*.f64 x x) (*.f64 x x))) (+.f64 (*.f64 x x) (*.f64 x x))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((*.f64 x (+.f64 x x)) #(struct:egraph-query ((sqrt.f64 (+.f64 (*.f64 x x) (*.f64 x x))) (+.f64 (*.f64 x x) (*.f64 x x))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((*.f64 x (*.f64 (+.f64 x x) (/.f64 0 0))) #(struct:egraph-query ((sqrt.f64 (+.f64 (*.f64 x x) (*.f64 x x))) (+.f64 (*.f64 x x) (*.f64 x x))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((*.f64 (*.f64 x x) 2) #(struct:egraph-query ((sqrt.f64 (+.f64 (*.f64 x x) (*.f64 x x))) (+.f64 (*.f64 x x) (*.f64 x x))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((*.f64 (*.f64 x x) (*.f64 (+.f64 x x) (+.f64 x x))) #(struct:egraph-query ((sqrt.f64 (+.f64 (*.f64 x x) (*.f64 x x))) (+.f64 (*.f64 x x) (*.f64 x x))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((*.f64 (/.f64 0 0) (/.f64 0 0)) #(struct:egraph-query ((sqrt.f64 (+.f64 (*.f64 x x) (*.f64 x x))) (+.f64 (*.f64 x x) (*.f64 x x))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((*.f64 (/.f64 0 0) 1) #(struct:egraph-query ((sqrt.f64 (+.f64 (*.f64 x x) (*.f64 x x))) (+.f64 (*.f64 x x) (*.f64 x x))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((*.f64 1 (/.f64 0 0)) #(struct:egraph-query ((sqrt.f64 (+.f64 (*.f64 x x) (*.f64 x x))) (+.f64 (*.f64 x x) (*.f64 x x))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((*.f64 (pow.f64 (cbrt.f64 x) 2) (+.f64 (cbrt.f64 (pow.f64 x 4)) (cbrt.f64 (pow.f64 x 4)))) #(struct:egraph-query ((sqrt.f64 (+.f64 (*.f64 x x) (*.f64 x x))) (+.f64 (*.f64 x x) (*.f64 x x))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((*.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) (+.f64 x x))) #(struct:egraph-query ((sqrt.f64 (+.f64 (*.f64 x x) (*.f64 x x))) (+.f64 (*.f64 x x) (*.f64 x x))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((*.f64 (cbrt.f64 (pow.f64 x 4)) (+.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 x) 2))) #(struct:egraph-query ((sqrt.f64 (+.f64 (*.f64 x x) (*.f64 x x))) (+.f64 (*.f64 x x) (*.f64 x x))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((*.f64 (cbrt.f64 x) (cbrt.f64 (+.f64 x x))) #(struct:egraph-query ((sqrt.f64 (+.f64 (*.f64 x x) (*.f64 x x))) (+.f64 (*.f64 x x) (*.f64 x x))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((*.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x x))) #(struct:egraph-query ((sqrt.f64 (+.f64 (*.f64 x x) (*.f64 x x))) (+.f64 (*.f64 x x) (*.f64 x x))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((*.f64 (sqrt.f64 x) (pow.f64 (+.f64 x x) 1/2)) #(struct:egraph-query ((sqrt.f64 (+.f64 (*.f64 x x) (*.f64 x x))) (+.f64 (*.f64 x x) (*.f64 x x))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (+.f64 x x))) #(struct:egraph-query ((sqrt.f64 (+.f64 (*.f64 x x) (*.f64 x x))) (+.f64 (*.f64 x x) (*.f64 x x))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((*.f64 2 (*.f64 x x)) #(struct:egraph-query ((sqrt.f64 (+.f64 (*.f64 x x) (*.f64 x x))) (+.f64 (*.f64 x x) (*.f64 x x))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((*.f64 2 (*.f64 (*.f64 x x) (/.f64 0 0))) #(struct:egraph-query ((sqrt.f64 (+.f64 (*.f64 x x) (*.f64 x x))) (+.f64 (*.f64 x x) (*.f64 x x))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((*.f64 (*.f64 2 (pow.f64 x 6)) (/.f64 1 (+.f64 (pow.f64 x 4) 0))) #(struct:egraph-query ((sqrt.f64 (+.f64 (*.f64 x x) (*.f64 x x))) (+.f64 (*.f64 x x) (*.f64 x x))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((*.f64 0 (/.f64 1 0)) #(struct:egraph-query ((sqrt.f64 (+.f64 (*.f64 x x) (*.f64 x x))) (+.f64 (*.f64 x x) (*.f64 x x))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((*.f64 (+.f64 x x) x) #(struct:egraph-query ((sqrt.f64 (+.f64 (*.f64 x x) (*.f64 x x))) (+.f64 (*.f64 x x) (*.f64 x x))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((*.f64 (cbrt.f64 2) (pow.f64 (cbrt.f64 x) 2)) #(struct:egraph-query ((sqrt.f64 (+.f64 (*.f64 x x) (*.f64 x x))) (+.f64 (*.f64 x x) (*.f64 x x))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((*.f64 4 (pow.f64 x 4)) #(struct:egraph-query ((sqrt.f64 (+.f64 (*.f64 x x) (*.f64 x x))) (+.f64 (*.f64 x x) (*.f64 x x))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((*.f64 (sqrt.f64 2) x) #(struct:egraph-query ((sqrt.f64 (+.f64 (*.f64 x x) (*.f64 x x))) (+.f64 (*.f64 x x) (*.f64 x x))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((*.f64 (pow.f64 1 1/2) (/.f64 0 0)) #(struct:egraph-query ((sqrt.f64 (+.f64 (*.f64 x x) (*.f64 x x))) (+.f64 (*.f64 x x) (*.f64 x x))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((*.f64 (pow.f64 2 1/2) x) #(struct:egraph-query ((sqrt.f64 (+.f64 (*.f64 x x) (*.f64 x x))) (+.f64 (*.f64 x x) (*.f64 x x))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((*.f64 (*.f64 (/.f64 0 0) x) (+.f64 x x)) #(struct:egraph-query ((sqrt.f64 (+.f64 (*.f64 x x) (*.f64 x x))) (+.f64 (*.f64 x x) (*.f64 x x))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((*.f64 (*.f64 (/.f64 0 0) 2) (*.f64 x x)) #(struct:egraph-query ((sqrt.f64 (+.f64 (*.f64 x x) (*.f64 x x))) (+.f64 (*.f64 x x) (*.f64 x x))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((*.f64 (*.f64 2 (cbrt.f64 (pow.f64 x 4))) (pow.f64 (cbrt.f64 x) 2)) #(struct:egraph-query ((sqrt.f64 (+.f64 (*.f64 x x) (*.f64 x x))) (+.f64 (*.f64 x x) (*.f64 x x))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((/.f64 1 (/.f64 0 0)) #(struct:egraph-query ((sqrt.f64 (+.f64 (*.f64 x x) (*.f64 x x))) (+.f64 (*.f64 x x) (*.f64 x x))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((/.f64 1 (/.f64 (+.f64 (pow.f64 x 4) 0) (*.f64 2 (pow.f64 x 6)))) #(struct:egraph-query ((sqrt.f64 (+.f64 (*.f64 x x) (*.f64 x x))) (+.f64 (*.f64 x x) (*.f64 x x))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((/.f64 (*.f64 2 (pow.f64 x 6)) (+.f64 (pow.f64 x 4) 0)) #(struct:egraph-query ((sqrt.f64 (+.f64 (*.f64 x x) (*.f64 x x))) (+.f64 (*.f64 x x) (*.f64 x x))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((/.f64 0 0) #(struct:egraph-query ((sqrt.f64 (+.f64 (*.f64 x x) (*.f64 x x))) (+.f64 (*.f64 x x) (*.f64 x x))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((/.f64 (cbrt.f64 (*.f64 2 (pow.f64 x 6))) (cbrt.f64 (+.f64 (pow.f64 x 4) 0))) #(struct:egraph-query ((sqrt.f64 (+.f64 (*.f64 x x) (*.f64 x x))) (+.f64 (*.f64 x x) (*.f64 x x))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((/.f64 (*.f64 (*.f64 2 (pow.f64 x 6)) (*.f64 2 (pow.f64 x 6))) (*.f64 (+.f64 (pow.f64 x 4) 0) (+.f64 (pow.f64 x 4) 0))) #(struct:egraph-query ((sqrt.f64 (+.f64 (*.f64 x x) (*.f64 x x))) (+.f64 (*.f64 x x) (*.f64 x x))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((/.f64 (sqrt.f64 0) (sqrt.f64 0)) #(struct:egraph-query ((sqrt.f64 (+.f64 (*.f64 x x) (*.f64 x x))) (+.f64 (*.f64 x x) (*.f64 x x))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((/.f64 (sqrt.f64 (*.f64 2 (pow.f64 x 6))) (sqrt.f64 (+.f64 (pow.f64 x 4) 0))) #(struct:egraph-query ((sqrt.f64 (+.f64 (*.f64 x x) (*.f64 x x))) (+.f64 (*.f64 x x) (*.f64 x x))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((/.f64 (*.f64 (*.f64 2 (pow.f64 x 6)) 0) (*.f64 (+.f64 (pow.f64 x 4) 0) 0)) #(struct:egraph-query ((sqrt.f64 (+.f64 (*.f64 x x) (*.f64 x x))) (+.f64 (*.f64 x x) (*.f64 x x))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((/.f64 (*.f64 0 (*.f64 2 (pow.f64 x 6))) (*.f64 0 (+.f64 (pow.f64 x 4) 0))) #(struct:egraph-query ((sqrt.f64 (+.f64 (*.f64 x x) (*.f64 x x))) (+.f64 (*.f64 x x) (*.f64 x x))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((/.f64 (neg.f64 (*.f64 2 (pow.f64 x 6))) (neg.f64 (+.f64 (pow.f64 x 4) 0))) #(struct:egraph-query ((sqrt.f64 (+.f64 (*.f64 x x) (*.f64 x x))) (+.f64 (*.f64 x x) (*.f64 x x))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((/.f64 (*.f64 (/.f64 0 0) (*.f64 2 (pow.f64 x 6))) (+.f64 (pow.f64 x 4) 0)) #(struct:egraph-query ((sqrt.f64 (+.f64 (*.f64 x x) (*.f64 x x))) (+.f64 (*.f64 x x) (*.f64 x x))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((/.f64 (*.f64 (*.f64 2 (pow.f64 x 6)) (/.f64 0 0)) (+.f64 (pow.f64 x 4) 0)) #(struct:egraph-query ((sqrt.f64 (+.f64 (*.f64 x x) (*.f64 x x))) (+.f64 (*.f64 x x) (*.f64 x x))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((/.f64 (*.f64 0 (/.f64 0 0)) 0) #(struct:egraph-query ((sqrt.f64 (+.f64 (*.f64 x x) (*.f64 x x))) (+.f64 (*.f64 x x) (*.f64 x x))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((pow.f64 (/.f64 0 0) 1) #(struct:egraph-query ((sqrt.f64 (+.f64 (*.f64 x x) (*.f64 x x))) (+.f64 (*.f64 x x) (*.f64 x x))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((pow.f64 (/.f64 0 0) 1/2) #(struct:egraph-query ((sqrt.f64 (+.f64 (*.f64 x x) (*.f64 x x))) (+.f64 (*.f64 x x) (*.f64 x x))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((pow.f64 (/.f64 0 0) 2) #(struct:egraph-query ((sqrt.f64 (+.f64 (*.f64 x x) (*.f64 x x))) (+.f64 (*.f64 x x) (*.f64 x x))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((pow.f64 (/.f64 0 0) 3) #(struct:egraph-query ((sqrt.f64 (+.f64 (*.f64 x x) (*.f64 x x))) (+.f64 (*.f64 x x) (*.f64 x x))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((pow.f64 (/.f64 0 0) 1/4) #(struct:egraph-query ((sqrt.f64 (+.f64 (*.f64 x x) (*.f64 x x))) (+.f64 (*.f64 x x) (*.f64 x x))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((pow.f64 (/.f64 0 0) 3/2) #(struct:egraph-query ((sqrt.f64 (+.f64 (*.f64 x x) (*.f64 x x))) (+.f64 (*.f64 x x) (*.f64 x x))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((pow.f64 (/.f64 0 0) 1/3) #(struct:egraph-query ((sqrt.f64 (+.f64 (*.f64 x x) (*.f64 x x))) (+.f64 (*.f64 x x) (*.f64 x x))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((sqrt.f64 (/.f64 0 0)) #(struct:egraph-query ((sqrt.f64 (+.f64 (*.f64 x x) (*.f64 x x))) (+.f64 (*.f64 x x) (*.f64 x x))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((fabs.f64 (/.f64 0 0)) #(struct:egraph-query ((sqrt.f64 (+.f64 (*.f64 x x) (*.f64 x x))) (+.f64 (*.f64 x x) (*.f64 x x))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((log.f64 (exp.f64 (/.f64 0 0))) #(struct:egraph-query ((sqrt.f64 (+.f64 (*.f64 x x) (*.f64 x x))) (+.f64 (*.f64 x x) (*.f64 x x))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((cbrt.f64 (/.f64 0 0)) #(struct:egraph-query ((sqrt.f64 (+.f64 (*.f64 x x) (*.f64 x x))) (+.f64 (*.f64 x x) (*.f64 x x))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((expm1.f64 (log1p.f64 (/.f64 0 0))) #(struct:egraph-query ((sqrt.f64 (+.f64 (*.f64 x x) (*.f64 x x))) (+.f64 (*.f64 x x) (*.f64 x x))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((hypot.f64 x x) #(struct:egraph-query ((sqrt.f64 (+.f64 (*.f64 x x) (*.f64 x x))) (+.f64 (*.f64 x x) (*.f64 x x))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((exp.f64 (log.f64 (/.f64 0 0))) #(struct:egraph-query ((sqrt.f64 (+.f64 (*.f64 x x) (*.f64 x x))) (+.f64 (*.f64 x x) (*.f64 x x))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((log1p.f64 (expm1.f64 (/.f64 0 0))) #(struct:egraph-query ((sqrt.f64 (+.f64 (*.f64 x x) (*.f64 x x))) (+.f64 (*.f64 x x) (*.f64 x x))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((fma.f64 x x (*.f64 x x)) #(struct:egraph-query ((sqrt.f64 (+.f64 (*.f64 x x) (*.f64 x x))) (+.f64 (*.f64 x x) (*.f64 x x))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((fma.f64 1 (*.f64 x x) (*.f64 x x)) #(struct:egraph-query ((sqrt.f64 (+.f64 (*.f64 x x) (*.f64 x x))) (+.f64 (*.f64 x x) (*.f64 x x))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((fma.f64 (cbrt.f64 (pow.f64 x 4)) (pow.f64 (cbrt.f64 x) 2) (*.f64 x x)) #(struct:egraph-query ((sqrt.f64 (+.f64 (*.f64 x x) (*.f64 x x))) (+.f64 (*.f64 x x) (*.f64 x x))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)))

simplify25.0ms (1%)

Algorithm
1×egg-herbie
Rules
52×*-commutative
24×sqr-pow
20×associate-*r*
18×distribute-lft-in
16×associate-*l*
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0136872
1390872
Stop Event
1×unsound
Counts
148 → 77
Calls
Call 1
Inputs
(*.f64 (sqrt.f64 2) x)
(*.f64 (sqrt.f64 2) x)
(*.f64 (sqrt.f64 2) x)
(*.f64 (sqrt.f64 2) x)
(*.f64 (sqrt.f64 2) x)
(*.f64 (sqrt.f64 2) x)
(*.f64 (sqrt.f64 2) x)
(*.f64 (sqrt.f64 2) x)
(*.f64 -1 (*.f64 (sqrt.f64 2) x))
(*.f64 -1 (*.f64 (sqrt.f64 2) x))
(*.f64 -1 (*.f64 (sqrt.f64 2) x))
(*.f64 -1 (*.f64 (sqrt.f64 2) x))
(*.f64 2 (pow.f64 x 2))
(*.f64 2 (pow.f64 x 2))
(*.f64 2 (pow.f64 x 2))
(*.f64 2 (pow.f64 x 2))
(*.f64 2 (pow.f64 x 2))
(*.f64 2 (pow.f64 x 2))
(*.f64 2 (pow.f64 x 2))
(*.f64 2 (pow.f64 x 2))
(*.f64 2 (pow.f64 x 2))
(*.f64 2 (pow.f64 x 2))
(*.f64 2 (pow.f64 x 2))
(*.f64 2 (pow.f64 x 2))
(+.f64 (*.f64 x x) (*.f64 x x))
(+.f64 (*.f64 (/.f64 0 0) (*.f64 x x)) (*.f64 (/.f64 0 0) (*.f64 x x)))
(+.f64 (*.f64 (*.f64 x x) (/.f64 0 0)) (*.f64 (*.f64 x x) (/.f64 0 0)))
(-.f64 (+.f64 1 (/.f64 0 0)) 1)
(-.f64 (/.f64 (pow.f64 x 4) 0) (/.f64 (pow.f64 x 4) 0))
(*.f64 x (+.f64 x x))
(*.f64 x (*.f64 (+.f64 x x) (/.f64 0 0)))
(*.f64 (*.f64 x x) 2)
(*.f64 (*.f64 x x) (*.f64 (+.f64 x x) (+.f64 x x)))
(*.f64 (/.f64 0 0) (/.f64 0 0))
(*.f64 (/.f64 0 0) 1)
(*.f64 1 (/.f64 0 0))
(*.f64 (pow.f64 (cbrt.f64 x) 2) (+.f64 (cbrt.f64 (pow.f64 x 4)) (cbrt.f64 (pow.f64 x 4))))
(*.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) (+.f64 x x)))
(*.f64 (cbrt.f64 (pow.f64 x 4)) (+.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 x) 2)))
(*.f64 (cbrt.f64 x) (cbrt.f64 (+.f64 x x)))
(*.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x x)))
(*.f64 (sqrt.f64 x) (pow.f64 (+.f64 x x) 1/2))
(*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (+.f64 x x)))
(*.f64 2 (*.f64 x x))
(*.f64 2 (*.f64 (*.f64 x x) (/.f64 0 0)))
(*.f64 (*.f64 2 (pow.f64 x 6)) (/.f64 1 (+.f64 (pow.f64 x 4) 0)))
(*.f64 0 (/.f64 1 0))
(*.f64 (+.f64 x x) x)
(*.f64 (cbrt.f64 2) (pow.f64 (cbrt.f64 x) 2))
(*.f64 4 (pow.f64 x 4))
(*.f64 (sqrt.f64 2) x)
(*.f64 (pow.f64 1 1/2) (/.f64 0 0))
(*.f64 (pow.f64 2 1/2) x)
(*.f64 (*.f64 (/.f64 0 0) x) (+.f64 x x))
(*.f64 (*.f64 (/.f64 0 0) 2) (*.f64 x x))
(*.f64 (*.f64 2 (cbrt.f64 (pow.f64 x 4))) (pow.f64 (cbrt.f64 x) 2))
(/.f64 1 (/.f64 0 0))
(/.f64 1 (/.f64 (+.f64 (pow.f64 x 4) 0) (*.f64 2 (pow.f64 x 6))))
(/.f64 (*.f64 2 (pow.f64 x 6)) (+.f64 (pow.f64 x 4) 0))
(/.f64 0 0)
(/.f64 (cbrt.f64 (*.f64 2 (pow.f64 x 6))) (cbrt.f64 (+.f64 (pow.f64 x 4) 0)))
(/.f64 (*.f64 (*.f64 2 (pow.f64 x 6)) (*.f64 2 (pow.f64 x 6))) (*.f64 (+.f64 (pow.f64 x 4) 0) (+.f64 (pow.f64 x 4) 0)))
(/.f64 (sqrt.f64 0) (sqrt.f64 0))
(/.f64 (sqrt.f64 (*.f64 2 (pow.f64 x 6))) (sqrt.f64 (+.f64 (pow.f64 x 4) 0)))
(/.f64 (*.f64 (*.f64 2 (pow.f64 x 6)) 0) (*.f64 (+.f64 (pow.f64 x 4) 0) 0))
(/.f64 (*.f64 0 (*.f64 2 (pow.f64 x 6))) (*.f64 0 (+.f64 (pow.f64 x 4) 0)))
(/.f64 (neg.f64 (*.f64 2 (pow.f64 x 6))) (neg.f64 (+.f64 (pow.f64 x 4) 0)))
(/.f64 (*.f64 (/.f64 0 0) (*.f64 2 (pow.f64 x 6))) (+.f64 (pow.f64 x 4) 0))
(/.f64 (*.f64 (*.f64 2 (pow.f64 x 6)) (/.f64 0 0)) (+.f64 (pow.f64 x 4) 0))
(/.f64 (*.f64 0 (/.f64 0 0)) 0)
(pow.f64 (/.f64 0 0) 1)
(pow.f64 (/.f64 0 0) 1/2)
(pow.f64 (/.f64 0 0) 2)
(pow.f64 (/.f64 0 0) 3)
(pow.f64 (/.f64 0 0) 1/4)
(pow.f64 (/.f64 0 0) 3/2)
(pow.f64 (/.f64 0 0) 1/3)
(fabs.f64 (/.f64 0 0))
(log.f64 (exp.f64 (/.f64 0 0)))
(cbrt.f64 (/.f64 0 0))
(expm1.f64 (log1p.f64 (/.f64 0 0)))
(hypot.f64 x x)
(exp.f64 (log.f64 (/.f64 0 0)))
(log1p.f64 (expm1.f64 (/.f64 0 0)))
(fma.f64 x x (*.f64 x x))
(fma.f64 1 (*.f64 x x) (*.f64 x x))
(fma.f64 (cbrt.f64 (pow.f64 x 4)) (pow.f64 (cbrt.f64 x) 2) (*.f64 x x))
(-.f64 (+.f64 1 (/.f64 0 0)) 1)
(-.f64 (/.f64 (pow.f64 x 4) 0) (/.f64 (pow.f64 x 4) 0))
(*.f64 x (+.f64 x x))
(*.f64 x (*.f64 (+.f64 x x) (/.f64 0 0)))
(*.f64 (*.f64 x x) 2)
(*.f64 (*.f64 x x) (*.f64 (+.f64 x x) (+.f64 x x)))
(*.f64 (/.f64 0 0) (/.f64 0 0))
(*.f64 (/.f64 0 0) 1)
(*.f64 1 (/.f64 0 0))
(*.f64 (pow.f64 (cbrt.f64 x) 2) (+.f64 (cbrt.f64 (pow.f64 x 4)) (cbrt.f64 (pow.f64 x 4))))
(*.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) (+.f64 x x)))
(*.f64 (cbrt.f64 (pow.f64 x 4)) (+.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 x) 2)))
(*.f64 (cbrt.f64 x) (cbrt.f64 (+.f64 x x)))
(*.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x x)))
(*.f64 (sqrt.f64 x) (pow.f64 (+.f64 x x) 1/2))
(*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (+.f64 x x)))
(*.f64 2 (*.f64 x x))
(*.f64 2 (*.f64 (*.f64 x x) (/.f64 0 0)))
(*.f64 (*.f64 2 (pow.f64 x 6)) (/.f64 1 (+.f64 (pow.f64 x 4) 0)))
(*.f64 0 (/.f64 1 0))
(*.f64 (+.f64 x x) x)
(*.f64 (cbrt.f64 2) (pow.f64 (cbrt.f64 x) 2))
(*.f64 4 (pow.f64 x 4))
(*.f64 (sqrt.f64 2) x)
(*.f64 (pow.f64 1 1/2) (/.f64 0 0))
(*.f64 (pow.f64 2 1/2) x)
(*.f64 (*.f64 (/.f64 0 0) x) (+.f64 x x))
(*.f64 (*.f64 (/.f64 0 0) 2) (*.f64 x x))
(*.f64 (*.f64 2 (cbrt.f64 (pow.f64 x 4))) (pow.f64 (cbrt.f64 x) 2))
(/.f64 1 (/.f64 0 0))
(/.f64 1 (/.f64 (+.f64 (pow.f64 x 4) 0) (*.f64 2 (pow.f64 x 6))))
(/.f64 (*.f64 2 (pow.f64 x 6)) (+.f64 (pow.f64 x 4) 0))
(/.f64 0 0)
(/.f64 (cbrt.f64 (*.f64 2 (pow.f64 x 6))) (cbrt.f64 (+.f64 (pow.f64 x 4) 0)))
(/.f64 (*.f64 (*.f64 2 (pow.f64 x 6)) (*.f64 2 (pow.f64 x 6))) (*.f64 (+.f64 (pow.f64 x 4) 0) (+.f64 (pow.f64 x 4) 0)))
(/.f64 (sqrt.f64 0) (sqrt.f64 0))
(/.f64 (sqrt.f64 (*.f64 2 (pow.f64 x 6))) (sqrt.f64 (+.f64 (pow.f64 x 4) 0)))
(/.f64 (*.f64 (*.f64 2 (pow.f64 x 6)) 0) (*.f64 (+.f64 (pow.f64 x 4) 0) 0))
(/.f64 (*.f64 0 (*.f64 2 (pow.f64 x 6))) (*.f64 0 (+.f64 (pow.f64 x 4) 0)))
(/.f64 (neg.f64 (*.f64 2 (pow.f64 x 6))) (neg.f64 (+.f64 (pow.f64 x 4) 0)))
(/.f64 (*.f64 (/.f64 0 0) (*.f64 2 (pow.f64 x 6))) (+.f64 (pow.f64 x 4) 0))
(/.f64 (*.f64 (*.f64 2 (pow.f64 x 6)) (/.f64 0 0)) (+.f64 (pow.f64 x 4) 0))
(/.f64 (*.f64 0 (/.f64 0 0)) 0)
(pow.f64 (/.f64 0 0) 1)
(pow.f64 (/.f64 0 0) 1/2)
(pow.f64 (/.f64 0 0) 2)
(pow.f64 (/.f64 0 0) 3)
(pow.f64 (/.f64 0 0) 1/4)
(pow.f64 (/.f64 0 0) 3/2)
(pow.f64 (/.f64 0 0) 1/3)
(sqrt.f64 (/.f64 0 0))
(fabs.f64 (/.f64 0 0))
(log.f64 (exp.f64 (/.f64 0 0)))
(cbrt.f64 (/.f64 0 0))
(expm1.f64 (log1p.f64 (/.f64 0 0)))
(hypot.f64 x x)
(exp.f64 (log.f64 (/.f64 0 0)))
(log1p.f64 (expm1.f64 (/.f64 0 0)))
(fma.f64 x x (*.f64 x x))
(fma.f64 1 (*.f64 x x) (*.f64 x x))
(fma.f64 (cbrt.f64 (pow.f64 x 4)) (pow.f64 (cbrt.f64 x) 2) (*.f64 x x))
Outputs
(*.f64 (sqrt.f64 2) x)
(+.f64 x x)
(*.f64 (sqrt.f64 2) x)
(+.f64 x x)
(*.f64 (sqrt.f64 2) x)
(+.f64 x x)
(*.f64 (sqrt.f64 2) x)
(+.f64 x x)
(*.f64 (sqrt.f64 2) x)
(+.f64 x x)
(*.f64 (sqrt.f64 2) x)
(+.f64 x x)
(*.f64 (sqrt.f64 2) x)
(+.f64 x x)
(*.f64 (sqrt.f64 2) x)
(+.f64 x x)
(*.f64 -1 (*.f64 (sqrt.f64 2) x))
(+.f64 x x)
(*.f64 -1 (*.f64 (sqrt.f64 2) x))
(+.f64 x x)
(*.f64 -1 (*.f64 (sqrt.f64 2) x))
(+.f64 x x)
(*.f64 -1 (*.f64 (sqrt.f64 2) x))
(+.f64 x x)
(*.f64 2 (pow.f64 x 2))
-2
(*.f64 2 (pow.f64 x 2))
-2
(*.f64 2 (pow.f64 x 2))
-2
(*.f64 2 (pow.f64 x 2))
-2
(*.f64 2 (pow.f64 x 2))
-2
(*.f64 2 (pow.f64 x 2))
-2
(*.f64 2 (pow.f64 x 2))
-2
(*.f64 2 (pow.f64 x 2))
-2
(*.f64 2 (pow.f64 x 2))
-2
(*.f64 2 (pow.f64 x 2))
-2
(*.f64 2 (pow.f64 x 2))
-2
(*.f64 2 (pow.f64 x 2))
-2
(+.f64 (*.f64 x x) (*.f64 x x))
-2
(+.f64 (*.f64 (/.f64 0 0) (*.f64 x x)) (*.f64 (/.f64 0 0) (*.f64 x x)))
-2
(+.f64 (*.f64 (*.f64 x x) (/.f64 0 0)) (*.f64 (*.f64 x x) (/.f64 0 0)))
-2
(-.f64 (+.f64 1 (/.f64 0 0)) 1)
-2
(-.f64 (/.f64 (pow.f64 x 4) 0) (/.f64 (pow.f64 x 4) 0))
-2
(*.f64 x (+.f64 x x))
-2
(*.f64 x (*.f64 (+.f64 x x) (/.f64 0 0)))
-2
(*.f64 (*.f64 x x) 2)
-2
(*.f64 (*.f64 x x) (*.f64 (+.f64 x x) (+.f64 x x)))
-2
(*.f64 (/.f64 0 0) (/.f64 0 0))
-2
(*.f64 (/.f64 0 0) 1)
-2
(*.f64 1 (/.f64 0 0))
-2
(*.f64 (pow.f64 (cbrt.f64 x) 2) (+.f64 (cbrt.f64 (pow.f64 x 4)) (cbrt.f64 (pow.f64 x 4))))
(*.f64 (pow.f64 (cbrt.f64 x) -2) (*.f64 -2 (cbrt.f64 (*.f64 x x))))
(*.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) (+.f64 x x)))
(*.f64 (pow.f64 (cbrt.f64 x) -2) (*.f64 (+.f64 x x) (cbrt.f64 x)))
(*.f64 (cbrt.f64 (pow.f64 x 4)) (+.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 x) 2)))
(*.f64 (pow.f64 (cbrt.f64 x) -2) (*.f64 -2 (cbrt.f64 (*.f64 x x))))
(*.f64 (cbrt.f64 x) (cbrt.f64 (+.f64 x x)))
(*.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x x)))
(*.f64 (sqrt.f64 x) (pow.f64 (+.f64 x x) 1/2))
(*.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x x)))
(*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (+.f64 x x)))
(*.f64 (sqrt.f64 x) (*.f64 (+.f64 x x) (sqrt.f64 x)))
(*.f64 2 (*.f64 x x))
-2
(*.f64 2 (*.f64 (*.f64 x x) (/.f64 0 0)))
-2
(*.f64 (*.f64 2 (pow.f64 x 6)) (/.f64 1 (+.f64 (pow.f64 x 4) 0)))
-2
(*.f64 0 (/.f64 1 0))
-2
(*.f64 (+.f64 x x) x)
-2
(*.f64 (cbrt.f64 2) (pow.f64 (cbrt.f64 x) 2))
(*.f64 -2 (pow.f64 (cbrt.f64 x) -2))
(*.f64 4 (pow.f64 x 4))
-2
(*.f64 (sqrt.f64 2) x)
(+.f64 x x)
(*.f64 (pow.f64 1 1/2) (/.f64 0 0))
-2
(*.f64 (pow.f64 2 1/2) x)
(+.f64 x x)
(*.f64 (*.f64 (/.f64 0 0) x) (+.f64 x x))
-2
(*.f64 (*.f64 (/.f64 0 0) 2) (*.f64 x x))
-2
(*.f64 (*.f64 2 (cbrt.f64 (pow.f64 x 4))) (pow.f64 (cbrt.f64 x) 2))
(*.f64 (pow.f64 (cbrt.f64 x) -2) (*.f64 -2 (cbrt.f64 (*.f64 x x))))
(/.f64 1 (/.f64 0 0))
-2
(/.f64 1 (/.f64 (+.f64 (pow.f64 x 4) 0) (*.f64 2 (pow.f64 x 6))))
-2
(/.f64 (*.f64 2 (pow.f64 x 6)) (+.f64 (pow.f64 x 4) 0))
-2
(/.f64 0 0)
-2
(/.f64 (cbrt.f64 (*.f64 2 (pow.f64 x 6))) (cbrt.f64 (+.f64 (pow.f64 x 4) 0)))
(/.f64 -2 (cbrt.f64 (*.f64 x x)))
(/.f64 (*.f64 (*.f64 2 (pow.f64 x 6)) (*.f64 2 (pow.f64 x 6))) (*.f64 (+.f64 (pow.f64 x 4) 0) (+.f64 (pow.f64 x 4) 0)))
-2
(/.f64 (sqrt.f64 0) (sqrt.f64 0))
-2
(/.f64 (sqrt.f64 (*.f64 2 (pow.f64 x 6))) (sqrt.f64 (+.f64 (pow.f64 x 4) 0)))
(/.f64 -2 (sqrt.f64 (*.f64 x x)))
(/.f64 (*.f64 (*.f64 2 (pow.f64 x 6)) 0) (*.f64 (+.f64 (pow.f64 x 4) 0) 0))
-2
(/.f64 (*.f64 0 (*.f64 2 (pow.f64 x 6))) (*.f64 0 (+.f64 (pow.f64 x 4) 0)))
-2
(/.f64 (neg.f64 (*.f64 2 (pow.f64 x 6))) (neg.f64 (+.f64 (pow.f64 x 4) 0)))
-2
(/.f64 (*.f64 (/.f64 0 0) (*.f64 2 (pow.f64 x 6))) (+.f64 (pow.f64 x 4) 0))
-2
(/.f64 (*.f64 (*.f64 2 (pow.f64 x 6)) (/.f64 0 0)) (+.f64 (pow.f64 x 4) 0))
-2
(/.f64 (*.f64 0 (/.f64 0 0)) 0)
-2
(pow.f64 (/.f64 0 0) 1)
-2
(pow.f64 (/.f64 0 0) 1/2)
-2
(pow.f64 (/.f64 0 0) 2)
-2
(pow.f64 (/.f64 0 0) 3)
-2
(pow.f64 (/.f64 0 0) 1/4)
-2
(pow.f64 (/.f64 0 0) 3/2)
(pow.f64 -2 3/2)
(pow.f64 (/.f64 0 0) 1/3)
-2
(fabs.f64 (/.f64 0 0))
-2
(log.f64 (exp.f64 (/.f64 0 0)))
-2
(cbrt.f64 (/.f64 0 0))
-2
(expm1.f64 (log1p.f64 (/.f64 0 0)))
-2
(hypot.f64 x x)
(exp.f64 (log.f64 (/.f64 0 0)))
-2
(log1p.f64 (expm1.f64 (/.f64 0 0)))
-2
(fma.f64 x x (*.f64 x x))
-2
(fma.f64 1 (*.f64 x x) (*.f64 x x))
(*.f64 x x)
(fma.f64 (cbrt.f64 (pow.f64 x 4)) (pow.f64 (cbrt.f64 x) 2) (*.f64 x x))
(fma.f64 (cbrt.f64 (*.f64 x x)) (pow.f64 (cbrt.f64 x) -2) (*.f64 x x))
(-.f64 (+.f64 1 (/.f64 0 0)) 1)
-2
(-.f64 (/.f64 (pow.f64 x 4) 0) (/.f64 (pow.f64 x 4) 0))
-2
(*.f64 x (+.f64 x x))
-2
(*.f64 x (*.f64 (+.f64 x x) (/.f64 0 0)))
-2
(*.f64 (*.f64 x x) 2)
-2
(*.f64 (*.f64 x x) (*.f64 (+.f64 x x) (+.f64 x x)))
-2
(*.f64 (/.f64 0 0) (/.f64 0 0))
-2
(*.f64 (/.f64 0 0) 1)
-2
(*.f64 1 (/.f64 0 0))
-2
(*.f64 (pow.f64 (cbrt.f64 x) 2) (+.f64 (cbrt.f64 (pow.f64 x 4)) (cbrt.f64 (pow.f64 x 4))))
(*.f64 (pow.f64 (cbrt.f64 x) -2) (*.f64 -2 (cbrt.f64 (*.f64 x x))))
(*.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) (+.f64 x x)))
(*.f64 (pow.f64 (cbrt.f64 x) -2) (*.f64 (+.f64 x x) (cbrt.f64 x)))
(*.f64 (cbrt.f64 (pow.f64 x 4)) (+.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 x) 2)))
(*.f64 (pow.f64 (cbrt.f64 x) -2) (*.f64 -2 (cbrt.f64 (*.f64 x x))))
(*.f64 (cbrt.f64 x) (cbrt.f64 (+.f64 x x)))
(*.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x x)))
(*.f64 (sqrt.f64 x) (pow.f64 (+.f64 x x) 1/2))
(*.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x x)))
(*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (+.f64 x x)))
(*.f64 (sqrt.f64 x) (*.f64 (+.f64 x x) (sqrt.f64 x)))
(*.f64 2 (*.f64 x x))
-2
(*.f64 2 (*.f64 (*.f64 x x) (/.f64 0 0)))
-2
(*.f64 (*.f64 2 (pow.f64 x 6)) (/.f64 1 (+.f64 (pow.f64 x 4) 0)))
-2
(*.f64 0 (/.f64 1 0))
-2
(*.f64 (+.f64 x x) x)
-2
(*.f64 (cbrt.f64 2) (pow.f64 (cbrt.f64 x) 2))
(*.f64 -2 (pow.f64 (cbrt.f64 x) -2))
(*.f64 4 (pow.f64 x 4))
-2
(*.f64 (sqrt.f64 2) x)
(+.f64 x x)
(*.f64 (pow.f64 1 1/2) (/.f64 0 0))
-2
(*.f64 (pow.f64 2 1/2) x)
(+.f64 x x)
(*.f64 (*.f64 (/.f64 0 0) x) (+.f64 x x))
-2
(*.f64 (*.f64 (/.f64 0 0) 2) (*.f64 x x))
-2
(*.f64 (*.f64 2 (cbrt.f64 (pow.f64 x 4))) (pow.f64 (cbrt.f64 x) 2))
(*.f64 (pow.f64 (cbrt.f64 x) -2) (*.f64 -2 (cbrt.f64 (*.f64 x x))))
(/.f64 1 (/.f64 0 0))
-2
(/.f64 1 (/.f64 (+.f64 (pow.f64 x 4) 0) (*.f64 2 (pow.f64 x 6))))
-2
(/.f64 (*.f64 2 (pow.f64 x 6)) (+.f64 (pow.f64 x 4) 0))
-2
(/.f64 0 0)
-2
(/.f64 (cbrt.f64 (*.f64 2 (pow.f64 x 6))) (cbrt.f64 (+.f64 (pow.f64 x 4) 0)))
(/.f64 -2 (cbrt.f64 (*.f64 x x)))
(/.f64 (*.f64 (*.f64 2 (pow.f64 x 6)) (*.f64 2 (pow.f64 x 6))) (*.f64 (+.f64 (pow.f64 x 4) 0) (+.f64 (pow.f64 x 4) 0)))
-2
(/.f64 (sqrt.f64 0) (sqrt.f64 0))
-2
(/.f64 (sqrt.f64 (*.f64 2 (pow.f64 x 6))) (sqrt.f64 (+.f64 (pow.f64 x 4) 0)))
(/.f64 -2 (sqrt.f64 (*.f64 x x)))
(/.f64 (*.f64 (*.f64 2 (pow.f64 x 6)) 0) (*.f64 (+.f64 (pow.f64 x 4) 0) 0))
-2
(/.f64 (*.f64 0 (*.f64 2 (pow.f64 x 6))) (*.f64 0 (+.f64 (pow.f64 x 4) 0)))
-2
(/.f64 (neg.f64 (*.f64 2 (pow.f64 x 6))) (neg.f64 (+.f64 (pow.f64 x 4) 0)))
-2
(/.f64 (*.f64 (/.f64 0 0) (*.f64 2 (pow.f64 x 6))) (+.f64 (pow.f64 x 4) 0))
-2
(/.f64 (*.f64 (*.f64 2 (pow.f64 x 6)) (/.f64 0 0)) (+.f64 (pow.f64 x 4) 0))
-2
(/.f64 (*.f64 0 (/.f64 0 0)) 0)
-2
(pow.f64 (/.f64 0 0) 1)
-2
(pow.f64 (/.f64 0 0) 1/2)
-2
(pow.f64 (/.f64 0 0) 2)
-2
(pow.f64 (/.f64 0 0) 3)
-2
(pow.f64 (/.f64 0 0) 1/4)
-2
(pow.f64 (/.f64 0 0) 3/2)
(pow.f64 -2 3/2)
(pow.f64 (/.f64 0 0) 1/3)
-2
(sqrt.f64 (/.f64 0 0))
-2
(fabs.f64 (/.f64 0 0))
-2
(log.f64 (exp.f64 (/.f64 0 0)))
-2
(cbrt.f64 (/.f64 0 0))
-2
(expm1.f64 (log1p.f64 (/.f64 0 0)))
-2
(hypot.f64 x x)
(exp.f64 (log.f64 (/.f64 0 0)))
-2
(log1p.f64 (expm1.f64 (/.f64 0 0)))
-2
(fma.f64 x x (*.f64 x x))
-2
(fma.f64 1 (*.f64 x x) (*.f64 x x))
(*.f64 x x)
(fma.f64 (cbrt.f64 (pow.f64 x 4)) (pow.f64 (cbrt.f64 x) 2) (*.f64 x x))
(fma.f64 (cbrt.f64 (*.f64 x x)) (pow.f64 (cbrt.f64 x) -2) (*.f64 x x))

localize2.0ms (0.1%)

Local Accuracy

Found 1 expressions with local accuracy:

NewAccuracyProgram
✓100.0%
(hypot.f64 x x)
Compiler

Compiled 5 to 2 computations (60% saved)

series2.0ms (0.1%)

Counts
1 → 12
Calls

3 calls:

TimeVariablePointExpression
1.0ms
x
@-inf
(hypot.f64 x x)
0.0ms
x
@0
(hypot.f64 x x)
0.0ms
x
@inf
(hypot.f64 x x)

rewrite89.0ms (3.5%)

Algorithm
1×batch-egg-rewrite
Rules
738×pow1
704×add-sqr-sqrt
696×*-un-lft-identity
674×add-exp-log
674×log1p-expm1-u
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
047
1807
29337
Stop Event
1×node limit
Counts
1 → 41
Calls
Call 1
Inputs
(hypot.f64 x x)
Outputs
(((+.f64 0 (hypot.f64 x x)) #(struct:egraph-query ((hypot.f64 x x)) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((+.f64 (log.f64 (sqrt.f64 (exp.f64 (hypot.f64 x x)))) (log.f64 (sqrt.f64 (exp.f64 (hypot.f64 x x))))) #(struct:egraph-query ((hypot.f64 x x)) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (hypot.f64 x x))) 2)) (log.f64 (cbrt.f64 (exp.f64 (hypot.f64 x x))))) #(struct:egraph-query ((hypot.f64 x x)) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((-.f64 (+.f64 1 (hypot.f64 x x)) 1) #(struct:egraph-query ((hypot.f64 x x)) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((*.f64 (hypot.f64 x x) 1) #(struct:egraph-query ((hypot.f64 x x)) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((*.f64 1 (hypot.f64 x x)) #(struct:egraph-query ((hypot.f64 x x)) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((*.f64 (cbrt.f64 (hypot.f64 x x)) (pow.f64 (cbrt.f64 (hypot.f64 x x)) 2)) #(struct:egraph-query ((hypot.f64 x x)) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((*.f64 (pow.f64 (cbrt.f64 (hypot.f64 x x)) 2) (cbrt.f64 (hypot.f64 x x))) #(struct:egraph-query ((hypot.f64 x x)) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((*.f64 (sqrt.f64 x) (pow.f64 (+.f64 x x) 1/2)) #(struct:egraph-query ((hypot.f64 x x)) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((*.f64 (sqrt.f64 (hypot.f64 x x)) (sqrt.f64 (hypot.f64 x x))) #(struct:egraph-query ((hypot.f64 x x)) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (hypot.f64 x x)) 2)) (pow.f64 (pow.f64 (cbrt.f64 (hypot.f64 x x)) 4) 1/2)) #(struct:egraph-query ((hypot.f64 x x)) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((*.f64 (sqrt.f64 (sqrt.f64 (hypot.f64 x x))) (pow.f64 (pow.f64 (hypot.f64 x x) 3/2) 1/2)) #(struct:egraph-query ((hypot.f64 x x)) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((*.f64 (cbrt.f64 (pow.f64 (hypot.f64 x x) 5/2)) (cbrt.f64 (sqrt.f64 (hypot.f64 x x)))) #(struct:egraph-query ((hypot.f64 x x)) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((*.f64 (cbrt.f64 (pow.f64 (*.f64 (hypot.f64 x x) (cbrt.f64 (hypot.f64 x x))) 2)) (cbrt.f64 (cbrt.f64 (hypot.f64 x x)))) #(struct:egraph-query ((hypot.f64 x x)) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((*.f64 (pow.f64 1 1/3) (hypot.f64 x x)) #(struct:egraph-query ((hypot.f64 x x)) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((*.f64 (pow.f64 1 1/2) (hypot.f64 x x)) #(struct:egraph-query ((hypot.f64 x x)) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (hypot.f64 x x))) 3) (pow.f64 (sqrt.f64 (cbrt.f64 (hypot.f64 x x))) 3)) #(struct:egraph-query ((hypot.f64 x x)) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((*.f64 (pow.f64 (pow.f64 (*.f64 (hypot.f64 x x) (cbrt.f64 (hypot.f64 x x))) 2) 1/3) (cbrt.f64 (cbrt.f64 (hypot.f64 x x)))) #(struct:egraph-query ((hypot.f64 x x)) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((*.f64 (pow.f64 (pow.f64 (hypot.f64 x x) 5/2) 1/3) (cbrt.f64 (sqrt.f64 (hypot.f64 x x)))) #(struct:egraph-query ((hypot.f64 x x)) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((*.f64 (pow.f64 (pow.f64 (cbrt.f64 (hypot.f64 x x)) 4) 1/2) (sqrt.f64 (pow.f64 (cbrt.f64 (hypot.f64 x x)) 2))) #(struct:egraph-query ((hypot.f64 x x)) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((*.f64 (pow.f64 (pow.f64 (hypot.f64 x x) 3/2) 1/2) (sqrt.f64 (sqrt.f64 (hypot.f64 x x)))) #(struct:egraph-query ((hypot.f64 x x)) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((*.f64 (pow.f64 2 1/2) x) #(struct:egraph-query ((hypot.f64 x x)) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((*.f64 (pow.f64 (pow.f64 (cbrt.f64 (hypot.f64 x x)) 5) 1/2) (sqrt.f64 (cbrt.f64 (hypot.f64 x x)))) #(struct:egraph-query ((hypot.f64 x x)) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((pow.f64 (hypot.f64 x x) 1) #(struct:egraph-query ((hypot.f64 x x)) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((pow.f64 (cbrt.f64 (hypot.f64 x x)) 3) #(struct:egraph-query ((hypot.f64 x x)) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((pow.f64 (pow.f64 (hypot.f64 x x) 3) 1/3) #(struct:egraph-query ((hypot.f64 x x)) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((pow.f64 (sqrt.f64 (hypot.f64 x x)) 2) #(struct:egraph-query ((hypot.f64 x x)) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((pow.f64 (*.f64 x (+.f64 x x)) 1/2) #(struct:egraph-query ((hypot.f64 x x)) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((pow.f64 (E.f64) (log.f64 (hypot.f64 x x))) #(struct:egraph-query ((hypot.f64 x x)) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (hypot.f64 x x))) 2)) (cbrt.f64 (log.f64 (hypot.f64 x x)))) #(struct:egraph-query ((hypot.f64 x x)) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((pow.f64 (exp.f64 (sqrt.f64 (log.f64 (hypot.f64 x x)))) (sqrt.f64 (log.f64 (hypot.f64 x x)))) #(struct:egraph-query ((hypot.f64 x x)) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((sqrt.f64 (*.f64 x (+.f64 x x))) #(struct:egraph-query ((hypot.f64 x x)) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((log.f64 (exp.f64 (hypot.f64 x x))) #(struct:egraph-query ((hypot.f64 x x)) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((cbrt.f64 (pow.f64 (hypot.f64 x x) 3)) #(struct:egraph-query ((hypot.f64 x x)) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((expm1.f64 (log1p.f64 (hypot.f64 x x))) #(struct:egraph-query ((hypot.f64 x x)) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((exp.f64 (log.f64 (hypot.f64 x x))) #(struct:egraph-query ((hypot.f64 x x)) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((exp.f64 (*.f64 (log.f64 (cbrt.f64 (hypot.f64 x x))) 3)) #(struct:egraph-query ((hypot.f64 x x)) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((exp.f64 (*.f64 (*.f64 3 (log.f64 (hypot.f64 x x))) 1/3)) #(struct:egraph-query ((hypot.f64 x x)) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((exp.f64 (*.f64 (log.f64 (sqrt.f64 (hypot.f64 x x))) 2)) #(struct:egraph-query ((hypot.f64 x x)) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((exp.f64 (*.f64 (*.f64 2 (log.f64 (hypot.f64 x x))) 1/2)) #(struct:egraph-query ((hypot.f64 x x)) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((log1p.f64 (expm1.f64 (hypot.f64 x x))) #(struct:egraph-query ((hypot.f64 x x)) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)))

simplify52.0ms (2.1%)

Algorithm
1×egg-herbie
Rules
924×associate-*r*
884×log-prod
766×associate-*l*
738×associate-+r+
718×associate-+l+
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
0116717
1249681
2686669
34006669
Stop Event
1×node limit
Counts
53 → 55
Calls
Call 1
Inputs
(*.f64 (sqrt.f64 2) x)
(*.f64 (sqrt.f64 2) x)
(*.f64 (sqrt.f64 2) x)
(*.f64 (sqrt.f64 2) x)
(*.f64 (sqrt.f64 2) x)
(*.f64 (sqrt.f64 2) x)
(*.f64 (sqrt.f64 2) x)
(*.f64 (sqrt.f64 2) x)
(*.f64 -1 (*.f64 (sqrt.f64 2) x))
(*.f64 -1 (*.f64 (sqrt.f64 2) x))
(*.f64 -1 (*.f64 (sqrt.f64 2) x))
(*.f64 -1 (*.f64 (sqrt.f64 2) x))
(+.f64 0 (hypot.f64 x x))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (hypot.f64 x x)))) (log.f64 (sqrt.f64 (exp.f64 (hypot.f64 x x)))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (hypot.f64 x x))) 2)) (log.f64 (cbrt.f64 (exp.f64 (hypot.f64 x x)))))
(-.f64 (+.f64 1 (hypot.f64 x x)) 1)
(*.f64 (hypot.f64 x x) 1)
(*.f64 1 (hypot.f64 x x))
(*.f64 (cbrt.f64 (hypot.f64 x x)) (pow.f64 (cbrt.f64 (hypot.f64 x x)) 2))
(*.f64 (pow.f64 (cbrt.f64 (hypot.f64 x x)) 2) (cbrt.f64 (hypot.f64 x x)))
(*.f64 (sqrt.f64 x) (pow.f64 (+.f64 x x) 1/2))
(*.f64 (sqrt.f64 (hypot.f64 x x)) (sqrt.f64 (hypot.f64 x x)))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (hypot.f64 x x)) 2)) (pow.f64 (pow.f64 (cbrt.f64 (hypot.f64 x x)) 4) 1/2))
(*.f64 (sqrt.f64 (sqrt.f64 (hypot.f64 x x))) (pow.f64 (pow.f64 (hypot.f64 x x) 3/2) 1/2))
(*.f64 (cbrt.f64 (pow.f64 (hypot.f64 x x) 5/2)) (cbrt.f64 (sqrt.f64 (hypot.f64 x x))))
(*.f64 (cbrt.f64 (pow.f64 (*.f64 (hypot.f64 x x) (cbrt.f64 (hypot.f64 x x))) 2)) (cbrt.f64 (cbrt.f64 (hypot.f64 x x))))
(*.f64 (pow.f64 1 1/3) (hypot.f64 x x))
(*.f64 (pow.f64 1 1/2) (hypot.f64 x x))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (hypot.f64 x x))) 3) (pow.f64 (sqrt.f64 (cbrt.f64 (hypot.f64 x x))) 3))
(*.f64 (pow.f64 (pow.f64 (*.f64 (hypot.f64 x x) (cbrt.f64 (hypot.f64 x x))) 2) 1/3) (cbrt.f64 (cbrt.f64 (hypot.f64 x x))))
(*.f64 (pow.f64 (pow.f64 (hypot.f64 x x) 5/2) 1/3) (cbrt.f64 (sqrt.f64 (hypot.f64 x x))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (hypot.f64 x x)) 4) 1/2) (sqrt.f64 (pow.f64 (cbrt.f64 (hypot.f64 x x)) 2)))
(*.f64 (pow.f64 (pow.f64 (hypot.f64 x x) 3/2) 1/2) (sqrt.f64 (sqrt.f64 (hypot.f64 x x))))
(*.f64 (pow.f64 2 1/2) x)
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (hypot.f64 x x)) 5) 1/2) (sqrt.f64 (cbrt.f64 (hypot.f64 x x))))
(pow.f64 (hypot.f64 x x) 1)
(pow.f64 (cbrt.f64 (hypot.f64 x x)) 3)
(pow.f64 (pow.f64 (hypot.f64 x x) 3) 1/3)
(pow.f64 (sqrt.f64 (hypot.f64 x x)) 2)
(pow.f64 (*.f64 x (+.f64 x x)) 1/2)
(pow.f64 (E.f64) (log.f64 (hypot.f64 x x)))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (hypot.f64 x x))) 2)) (cbrt.f64 (log.f64 (hypot.f64 x x))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (hypot.f64 x x)))) (sqrt.f64 (log.f64 (hypot.f64 x x))))
(sqrt.f64 (*.f64 x (+.f64 x x)))
(log.f64 (exp.f64 (hypot.f64 x x)))
(cbrt.f64 (pow.f64 (hypot.f64 x x) 3))
(expm1.f64 (log1p.f64 (hypot.f64 x x)))
(exp.f64 (log.f64 (hypot.f64 x x)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (hypot.f64 x x))) 3))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (hypot.f64 x x))) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (hypot.f64 x x))) 2))
(exp.f64 (*.f64 (*.f64 2 (log.f64 (hypot.f64 x x))) 1/2))
(log1p.f64 (expm1.f64 (hypot.f64 x x)))
Outputs
(*.f64 (sqrt.f64 2) x)
(*.f64 x (sqrt.f64 2))
(*.f64 (sqrt.f64 2) x)
(*.f64 x (sqrt.f64 2))
(*.f64 (sqrt.f64 2) x)
(*.f64 x (sqrt.f64 2))
(*.f64 (sqrt.f64 2) x)
(*.f64 x (sqrt.f64 2))
(*.f64 (sqrt.f64 2) x)
(*.f64 x (sqrt.f64 2))
(*.f64 (sqrt.f64 2) x)
(*.f64 x (sqrt.f64 2))
(*.f64 (sqrt.f64 2) x)
(*.f64 x (sqrt.f64 2))
(*.f64 (sqrt.f64 2) x)
(*.f64 x (sqrt.f64 2))
(*.f64 -1 (*.f64 (sqrt.f64 2) x))
(neg.f64 (*.f64 x (sqrt.f64 2)))
(*.f64 x (neg.f64 (sqrt.f64 2)))
(*.f64 -1 (*.f64 (sqrt.f64 2) x))
(neg.f64 (*.f64 x (sqrt.f64 2)))
(*.f64 x (neg.f64 (sqrt.f64 2)))
(*.f64 -1 (*.f64 (sqrt.f64 2) x))
(neg.f64 (*.f64 x (sqrt.f64 2)))
(*.f64 x (neg.f64 (sqrt.f64 2)))
(*.f64 -1 (*.f64 (sqrt.f64 2) x))
(neg.f64 (*.f64 x (sqrt.f64 2)))
(*.f64 x (neg.f64 (sqrt.f64 2)))
(+.f64 0 (hypot.f64 x x))
(hypot.f64 x x)
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (hypot.f64 x x)))) (log.f64 (sqrt.f64 (exp.f64 (hypot.f64 x x)))))
(hypot.f64 x x)
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (hypot.f64 x x))) 2)) (log.f64 (cbrt.f64 (exp.f64 (hypot.f64 x x)))))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (exp.f64 (hypot.f64 x x))))) (log.f64 (cbrt.f64 (exp.f64 (hypot.f64 x x)))))
(*.f64 3 (log.f64 (cbrt.f64 (exp.f64 (hypot.f64 x x)))))
(*.f64 (log.f64 (cbrt.f64 (exp.f64 (hypot.f64 x x)))) 3)
(-.f64 (+.f64 1 (hypot.f64 x x)) 1)
(hypot.f64 x x)
(*.f64 (hypot.f64 x x) 1)
(hypot.f64 x x)
(*.f64 1 (hypot.f64 x x))
(hypot.f64 x x)
(*.f64 (cbrt.f64 (hypot.f64 x x)) (pow.f64 (cbrt.f64 (hypot.f64 x x)) 2))
(hypot.f64 x x)
(*.f64 (pow.f64 (cbrt.f64 (hypot.f64 x x)) 2) (cbrt.f64 (hypot.f64 x x)))
(hypot.f64 x x)
(*.f64 (sqrt.f64 x) (pow.f64 (+.f64 x x) 1/2))
(*.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x x)))
(*.f64 (sqrt.f64 (hypot.f64 x x)) (sqrt.f64 (hypot.f64 x x)))
(hypot.f64 x x)
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (hypot.f64 x x)) 2)) (pow.f64 (pow.f64 (cbrt.f64 (hypot.f64 x x)) 4) 1/2))
(hypot.f64 x x)
(*.f64 (sqrt.f64 (sqrt.f64 (hypot.f64 x x))) (pow.f64 (pow.f64 (hypot.f64 x x) 3/2) 1/2))
(hypot.f64 x x)
(*.f64 (cbrt.f64 (pow.f64 (hypot.f64 x x) 5/2)) (cbrt.f64 (sqrt.f64 (hypot.f64 x x))))
(*.f64 (cbrt.f64 (sqrt.f64 (hypot.f64 x x))) (cbrt.f64 (pow.f64 (hypot.f64 x x) 5/2)))
(*.f64 (cbrt.f64 (pow.f64 (*.f64 (hypot.f64 x x) (cbrt.f64 (hypot.f64 x x))) 2)) (cbrt.f64 (cbrt.f64 (hypot.f64 x x))))
(*.f64 (cbrt.f64 (cbrt.f64 (hypot.f64 x x))) (cbrt.f64 (pow.f64 (*.f64 (hypot.f64 x x) (cbrt.f64 (hypot.f64 x x))) 2)))
(*.f64 (cbrt.f64 (cbrt.f64 (hypot.f64 x x))) (cbrt.f64 (pow.f64 (pow.f64 (cbrt.f64 (hypot.f64 x x)) 4) 2)))
(*.f64 (cbrt.f64 (cbrt.f64 (hypot.f64 x x))) (cbrt.f64 (pow.f64 (cbrt.f64 (hypot.f64 x x)) 8)))
(*.f64 (pow.f64 1 1/3) (hypot.f64 x x))
(hypot.f64 x x)
(*.f64 (pow.f64 1 1/2) (hypot.f64 x x))
(hypot.f64 x x)
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (hypot.f64 x x))) 3) (pow.f64 (sqrt.f64 (cbrt.f64 (hypot.f64 x x))) 3))
(hypot.f64 x x)
(*.f64 (pow.f64 (pow.f64 (*.f64 (hypot.f64 x x) (cbrt.f64 (hypot.f64 x x))) 2) 1/3) (cbrt.f64 (cbrt.f64 (hypot.f64 x x))))
(*.f64 (cbrt.f64 (cbrt.f64 (hypot.f64 x x))) (cbrt.f64 (pow.f64 (*.f64 (hypot.f64 x x) (cbrt.f64 (hypot.f64 x x))) 2)))
(*.f64 (cbrt.f64 (cbrt.f64 (hypot.f64 x x))) (cbrt.f64 (pow.f64 (pow.f64 (cbrt.f64 (hypot.f64 x x)) 4) 2)))
(*.f64 (cbrt.f64 (cbrt.f64 (hypot.f64 x x))) (cbrt.f64 (pow.f64 (cbrt.f64 (hypot.f64 x x)) 8)))
(*.f64 (pow.f64 (pow.f64 (hypot.f64 x x) 5/2) 1/3) (cbrt.f64 (sqrt.f64 (hypot.f64 x x))))
(*.f64 (cbrt.f64 (sqrt.f64 (hypot.f64 x x))) (cbrt.f64 (pow.f64 (hypot.f64 x x) 5/2)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (hypot.f64 x x)) 4) 1/2) (sqrt.f64 (pow.f64 (cbrt.f64 (hypot.f64 x x)) 2)))
(hypot.f64 x x)
(*.f64 (pow.f64 (pow.f64 (hypot.f64 x x) 3/2) 1/2) (sqrt.f64 (sqrt.f64 (hypot.f64 x x))))
(hypot.f64 x x)
(*.f64 (pow.f64 2 1/2) x)
(*.f64 x (sqrt.f64 2))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (hypot.f64 x x)) 5) 1/2) (sqrt.f64 (cbrt.f64 (hypot.f64 x x))))
(hypot.f64 x x)
(pow.f64 (hypot.f64 x x) 1)
(hypot.f64 x x)
(pow.f64 (cbrt.f64 (hypot.f64 x x)) 3)
(hypot.f64 x x)
(pow.f64 (pow.f64 (hypot.f64 x x) 3) 1/3)
(hypot.f64 x x)
(pow.f64 (sqrt.f64 (hypot.f64 x x)) 2)
(hypot.f64 x x)
(pow.f64 (*.f64 x (+.f64 x x)) 1/2)
(hypot.f64 x x)
(pow.f64 (E.f64) (log.f64 (hypot.f64 x x)))
(hypot.f64 x x)
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (hypot.f64 x x))) 2)) (cbrt.f64 (log.f64 (hypot.f64 x x))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (hypot.f64 x x)))) (sqrt.f64 (log.f64 (hypot.f64 x x))))
(sqrt.f64 (*.f64 x (+.f64 x x)))
(hypot.f64 x x)
(log.f64 (exp.f64 (hypot.f64 x x)))
(hypot.f64 x x)
(cbrt.f64 (pow.f64 (hypot.f64 x x) 3))
(hypot.f64 x x)
(expm1.f64 (log1p.f64 (hypot.f64 x x)))
(hypot.f64 x x)
(exp.f64 (log.f64 (hypot.f64 x x)))
(hypot.f64 x x)
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (hypot.f64 x x))) 3))
(hypot.f64 x x)
(exp.f64 (*.f64 (*.f64 3 (log.f64 (hypot.f64 x x))) 1/3))
(hypot.f64 x x)
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (hypot.f64 x x))) 2))
(hypot.f64 x x)
(exp.f64 (*.f64 (*.f64 2 (log.f64 (hypot.f64 x x))) 1/2))
(hypot.f64 x x)
(log1p.f64 (expm1.f64 (hypot.f64 x x)))
(hypot.f64 x x)

eval47.0ms (1.9%)

Compiler

Compiled 1120 to 625 computations (44.2% saved)

prune20.0ms (0.8%)

Pruning

7 alts after pruning (6 fresh and 1 done)

PrunedKeptTotal
New1266132
Fresh000
Picked011
Done101
Total1277134
Accurracy
100.0%
Counts
134 → 7
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓100.0%
(hypot.f64 x x)
▶12.3%
(+.f64 x x)
▶5.3%
(*.f64 (+.f64 x x) x)
▶56.4%
(*.f64 (sqrt.f64 2) x)
▶45.2%
(*.f64 x (neg.f64 (sqrt.f64 2)))
▶5.3%
(*.f64 x x)
54.4%
(sqrt.f64 (*.f64 x (+.f64 x x)))
Compiler

Compiled 68 to 42 computations (38.2% saved)

localize4.0ms (0.2%)

Local Accuracy

Found 1 expressions with local accuracy:

NewAccuracyProgram
✓99.4%
(*.f64 (sqrt.f64 2) x)
Compiler

Compiled 9 to 7 computations (22.2% saved)

series0.0ms (0%)

Counts
1 → 0
Calls

3 calls:

TimeVariablePointExpression
0.0ms
x
@-inf
(*.f64 (sqrt.f64 2) x)
0.0ms
x
@inf
(*.f64 (sqrt.f64 2) x)
0.0ms
x
@0
(*.f64 (sqrt.f64 2) x)

rewrite57.0ms (2.2%)

Algorithm
1×batch-egg-rewrite
Rules
1182×pow1
1084×add-exp-log
1084×log1p-expm1-u
1084×expm1-log1p-u
1058×add-log-exp
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0711
113811
2150811
Stop Event
1×node limit
Counts
1 → 11
Calls
Call 1
Inputs
(*.f64 (sqrt.f64 2) x)
Outputs
(((-.f64 (+.f64 1 (*.f64 (sqrt.f64 2) x)) 1) #(struct:egraph-query ((*.f64 (sqrt.f64 2) x)) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((pow.f64 (*.f64 (sqrt.f64 2) x) 1) #(struct:egraph-query ((*.f64 (sqrt.f64 2) x)) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((pow.f64 (cbrt.f64 (*.f64 (sqrt.f64 2) x)) 3) #(struct:egraph-query ((*.f64 (sqrt.f64 2) x)) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((pow.f64 (pow.f64 (*.f64 (sqrt.f64 2) x) 3) 1/3) #(struct:egraph-query ((*.f64 (sqrt.f64 2) x)) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((pow.f64 (sqrt.f64 (*.f64 (sqrt.f64 2) x)) 2) #(struct:egraph-query ((*.f64 (sqrt.f64 2) x)) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((sqrt.f64 (*.f64 2 (*.f64 x x))) #(struct:egraph-query ((*.f64 (sqrt.f64 2) x)) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((log.f64 (pow.f64 (exp.f64 x) (sqrt.f64 2))) #(struct:egraph-query ((*.f64 (sqrt.f64 2) x)) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((cbrt.f64 (pow.f64 (*.f64 (sqrt.f64 2) x) 3)) #(struct:egraph-query ((*.f64 (sqrt.f64 2) x)) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((expm1.f64 (log1p.f64 (*.f64 (sqrt.f64 2) x))) #(struct:egraph-query ((*.f64 (sqrt.f64 2) x)) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((exp.f64 (log.f64 (*.f64 (sqrt.f64 2) x))) #(struct:egraph-query ((*.f64 (sqrt.f64 2) x)) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((log1p.f64 (expm1.f64 (*.f64 (sqrt.f64 2) x))) #(struct:egraph-query ((*.f64 (sqrt.f64 2) x)) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)))

simplify324.0ms (12.8%)

Algorithm
1×egg-herbie
Rules
1896×log-prod
954×fma-neg
806×*-commutative
676×distribute-lft-out
640×distribute-rgt-in
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
032253
179187
2271121
31535121
44437121
56814121
Stop Event
1×node limit
Counts
11 → 14
Calls
Call 1
Inputs
(-.f64 (+.f64 1 (*.f64 (sqrt.f64 2) x)) 1)
(pow.f64 (*.f64 (sqrt.f64 2) x) 1)
(pow.f64 (cbrt.f64 (*.f64 (sqrt.f64 2) x)) 3)
(pow.f64 (pow.f64 (*.f64 (sqrt.f64 2) x) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 (sqrt.f64 2) x)) 2)
(sqrt.f64 (*.f64 2 (*.f64 x x)))
(log.f64 (pow.f64 (exp.f64 x) (sqrt.f64 2)))
(cbrt.f64 (pow.f64 (*.f64 (sqrt.f64 2) x) 3))
(expm1.f64 (log1p.f64 (*.f64 (sqrt.f64 2) x)))
(exp.f64 (log.f64 (*.f64 (sqrt.f64 2) x)))
(log1p.f64 (expm1.f64 (*.f64 (sqrt.f64 2) x)))
Outputs
(-.f64 (+.f64 1 (*.f64 (sqrt.f64 2) x)) 1)
(+.f64 1 (-.f64 (*.f64 (sqrt.f64 2) x) 1))
(+.f64 (*.f64 (sqrt.f64 2) x) 0)
(*.f64 (sqrt.f64 2) x)
(pow.f64 (*.f64 (sqrt.f64 2) x) 1)
(+.f64 1 (-.f64 (*.f64 (sqrt.f64 2) x) 1))
(+.f64 (*.f64 (sqrt.f64 2) x) 0)
(*.f64 (sqrt.f64 2) x)
(pow.f64 (cbrt.f64 (*.f64 (sqrt.f64 2) x)) 3)
(+.f64 1 (-.f64 (*.f64 (sqrt.f64 2) x) 1))
(+.f64 (*.f64 (sqrt.f64 2) x) 0)
(*.f64 (sqrt.f64 2) x)
(pow.f64 (pow.f64 (*.f64 (sqrt.f64 2) x) 3) 1/3)
(+.f64 1 (-.f64 (*.f64 (sqrt.f64 2) x) 1))
(+.f64 (*.f64 (sqrt.f64 2) x) 0)
(*.f64 (sqrt.f64 2) x)
(pow.f64 (sqrt.f64 (*.f64 (sqrt.f64 2) x)) 2)
(+.f64 1 (-.f64 (*.f64 (sqrt.f64 2) x) 1))
(+.f64 (*.f64 (sqrt.f64 2) x) 0)
(*.f64 (sqrt.f64 2) x)
(sqrt.f64 (*.f64 2 (*.f64 x x)))
(+.f64 1 (-.f64 (*.f64 (sqrt.f64 2) x) 1))
(+.f64 (*.f64 (sqrt.f64 2) x) 0)
(*.f64 (sqrt.f64 2) x)
(log.f64 (pow.f64 (exp.f64 x) (sqrt.f64 2)))
(+.f64 1 (-.f64 (*.f64 (sqrt.f64 2) x) 1))
(+.f64 (*.f64 (sqrt.f64 2) x) 0)
(*.f64 (sqrt.f64 2) x)
(cbrt.f64 (pow.f64 (*.f64 (sqrt.f64 2) x) 3))
(+.f64 1 (-.f64 (*.f64 (sqrt.f64 2) x) 1))
(+.f64 (*.f64 (sqrt.f64 2) x) 0)
(*.f64 (sqrt.f64 2) x)
(expm1.f64 (log1p.f64 (*.f64 (sqrt.f64 2) x)))
(+.f64 1 (-.f64 (*.f64 (sqrt.f64 2) x) 1))
(+.f64 (*.f64 (sqrt.f64 2) x) 0)
(*.f64 (sqrt.f64 2) x)
(exp.f64 (log.f64 (*.f64 (sqrt.f64 2) x)))
(+.f64 1 (-.f64 (*.f64 (sqrt.f64 2) x) 1))
(+.f64 (*.f64 (sqrt.f64 2) x) 0)
(*.f64 (sqrt.f64 2) x)
(log1p.f64 (expm1.f64 (*.f64 (sqrt.f64 2) x)))
(+.f64 1 (-.f64 (*.f64 (sqrt.f64 2) x) 1))
(+.f64 (*.f64 (sqrt.f64 2) x) 0)
(*.f64 (sqrt.f64 2) x)

localize2.0ms (0.1%)

Compiler

Compiled 5 to 2 computations (60% saved)

localize2.0ms (0.1%)

Compiler

Compiled 5 to 2 computations (60% saved)

localize4.0ms (0.1%)

Compiler

Compiled 10 to 3 computations (70% saved)

localize14.0ms (0.5%)

Local Accuracy

Found 1 expressions with local accuracy:

NewAccuracyProgram
✓99.4%
(*.f64 x (neg.f64 (sqrt.f64 2)))
Compiler

Compiled 13 to 11 computations (15.4% saved)

series1.0ms (0%)

Counts
1 → 12
Calls

3 calls:

TimeVariablePointExpression
0.0ms
x
@0
(*.f64 x (neg.f64 (sqrt.f64 2)))
0.0ms
x
@inf
(*.f64 x (neg.f64 (sqrt.f64 2)))
0.0ms
x
@-inf
(*.f64 x (neg.f64 (sqrt.f64 2)))

rewrite33.0ms (1.3%)

Algorithm
1×batch-egg-rewrite
Rules
162×add-sqr-sqrt
152×pow1
152×*-un-lft-identity
150×add-exp-log
150×log1p-expm1-u
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0815
116315
2191015
Stop Event
1×unsound
Counts
1 → 17
Calls
Call 1
Inputs
(*.f64 x (neg.f64 (sqrt.f64 2)))
Outputs
(((-.f64 0 (*.f64 x (sqrt.f64 2))) #(struct:egraph-query ((*.f64 x (neg.f64 (sqrt.f64 2)))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((-.f64 (exp.f64 (log1p.f64 (*.f64 x (sqrt.f64 2)))) 1) #(struct:egraph-query ((*.f64 x (neg.f64 (sqrt.f64 2)))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((pow.f64 (*.f64 x (sqrt.f64 2)) 1) #(struct:egraph-query ((*.f64 x (neg.f64 (sqrt.f64 2)))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((pow.f64 (cbrt.f64 (*.f64 x (sqrt.f64 2))) 3) #(struct:egraph-query ((*.f64 x (neg.f64 (sqrt.f64 2)))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((pow.f64 (pow.f64 (*.f64 x (sqrt.f64 2)) 3) 1/3) #(struct:egraph-query ((*.f64 x (neg.f64 (sqrt.f64 2)))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((pow.f64 (sqrt.f64 (*.f64 x (sqrt.f64 2))) 2) #(struct:egraph-query ((*.f64 x (neg.f64 (sqrt.f64 2)))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((neg.f64 (*.f64 x (sqrt.f64 2))) #(struct:egraph-query ((*.f64 x (neg.f64 (sqrt.f64 2)))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((sqrt.f64 (*.f64 2 (*.f64 x x))) #(struct:egraph-query ((*.f64 x (neg.f64 (sqrt.f64 2)))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((log.f64 (pow.f64 (exp.f64 x) (sqrt.f64 2))) #(struct:egraph-query ((*.f64 x (neg.f64 (sqrt.f64 2)))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((log.f64 (+.f64 1 (expm1.f64 (*.f64 x (sqrt.f64 2))))) #(struct:egraph-query ((*.f64 x (neg.f64 (sqrt.f64 2)))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((cbrt.f64 (pow.f64 (*.f64 x (sqrt.f64 2)) 3)) #(struct:egraph-query ((*.f64 x (neg.f64 (sqrt.f64 2)))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((cbrt.f64 (*.f64 (*.f64 2 (sqrt.f64 2)) (pow.f64 x 3))) #(struct:egraph-query ((*.f64 x (neg.f64 (sqrt.f64 2)))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((cbrt.f64 (*.f64 (pow.f64 x 3) (*.f64 2 (sqrt.f64 2)))) #(struct:egraph-query ((*.f64 x (neg.f64 (sqrt.f64 2)))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((expm1.f64 (log1p.f64 (*.f64 x (sqrt.f64 2)))) #(struct:egraph-query ((*.f64 x (neg.f64 (sqrt.f64 2)))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((exp.f64 (log.f64 (*.f64 x (sqrt.f64 2)))) #(struct:egraph-query ((*.f64 x (neg.f64 (sqrt.f64 2)))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((exp.f64 (*.f64 (log.f64 (*.f64 x (sqrt.f64 2))) 1)) #(struct:egraph-query ((*.f64 x (neg.f64 (sqrt.f64 2)))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((log1p.f64 (expm1.f64 (*.f64 x (sqrt.f64 2)))) #(struct:egraph-query ((*.f64 x (neg.f64 (sqrt.f64 2)))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)))

simplify56.0ms (2.2%)

Algorithm
1×egg-herbie
Rules
1472×distribute-rgt-in
1468×distribute-lft-in
1116×log-prod
830×fma-def
650×*-commutative
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
048381
1111381
2385381
32176379
47179379
Stop Event
1×node limit
Counts
29 → 23
Calls
Call 1
Inputs
(*.f64 -1 (*.f64 (sqrt.f64 2) x))
(*.f64 -1 (*.f64 (sqrt.f64 2) x))
(*.f64 -1 (*.f64 (sqrt.f64 2) x))
(*.f64 -1 (*.f64 (sqrt.f64 2) x))
(*.f64 -1 (*.f64 (sqrt.f64 2) x))
(*.f64 -1 (*.f64 (sqrt.f64 2) x))
(*.f64 -1 (*.f64 (sqrt.f64 2) x))
(*.f64 -1 (*.f64 (sqrt.f64 2) x))
(*.f64 -1 (*.f64 (sqrt.f64 2) x))
(*.f64 -1 (*.f64 (sqrt.f64 2) x))
(*.f64 -1 (*.f64 (sqrt.f64 2) x))
(*.f64 -1 (*.f64 (sqrt.f64 2) x))
(-.f64 0 (*.f64 x (sqrt.f64 2)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (sqrt.f64 2)))) 1)
(pow.f64 (*.f64 x (sqrt.f64 2)) 1)
(pow.f64 (cbrt.f64 (*.f64 x (sqrt.f64 2))) 3)
(pow.f64 (pow.f64 (*.f64 x (sqrt.f64 2)) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 x (sqrt.f64 2))) 2)
(neg.f64 (*.f64 x (sqrt.f64 2)))
(sqrt.f64 (*.f64 2 (*.f64 x x)))
(log.f64 (pow.f64 (exp.f64 x) (sqrt.f64 2)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 x (sqrt.f64 2)))))
(cbrt.f64 (pow.f64 (*.f64 x (sqrt.f64 2)) 3))
(cbrt.f64 (*.f64 (*.f64 2 (sqrt.f64 2)) (pow.f64 x 3)))
(cbrt.f64 (*.f64 (pow.f64 x 3) (*.f64 2 (sqrt.f64 2))))
(expm1.f64 (log1p.f64 (*.f64 x (sqrt.f64 2))))
(exp.f64 (log.f64 (*.f64 x (sqrt.f64 2))))
(exp.f64 (*.f64 (log.f64 (*.f64 x (sqrt.f64 2))) 1))
(log1p.f64 (expm1.f64 (*.f64 x (sqrt.f64 2))))
Outputs
(*.f64 -1 (*.f64 (sqrt.f64 2) x))
(*.f64 x (neg.f64 (sqrt.f64 2)))
(*.f64 (sqrt.f64 2) (neg.f64 x))
(*.f64 -1 (*.f64 (sqrt.f64 2) x))
(*.f64 x (neg.f64 (sqrt.f64 2)))
(*.f64 (sqrt.f64 2) (neg.f64 x))
(*.f64 -1 (*.f64 (sqrt.f64 2) x))
(*.f64 x (neg.f64 (sqrt.f64 2)))
(*.f64 (sqrt.f64 2) (neg.f64 x))
(*.f64 -1 (*.f64 (sqrt.f64 2) x))
(*.f64 x (neg.f64 (sqrt.f64 2)))
(*.f64 (sqrt.f64 2) (neg.f64 x))
(*.f64 -1 (*.f64 (sqrt.f64 2) x))
(*.f64 x (neg.f64 (sqrt.f64 2)))
(*.f64 (sqrt.f64 2) (neg.f64 x))
(*.f64 -1 (*.f64 (sqrt.f64 2) x))
(*.f64 x (neg.f64 (sqrt.f64 2)))
(*.f64 (sqrt.f64 2) (neg.f64 x))
(*.f64 -1 (*.f64 (sqrt.f64 2) x))
(*.f64 x (neg.f64 (sqrt.f64 2)))
(*.f64 (sqrt.f64 2) (neg.f64 x))
(*.f64 -1 (*.f64 (sqrt.f64 2) x))
(*.f64 x (neg.f64 (sqrt.f64 2)))
(*.f64 (sqrt.f64 2) (neg.f64 x))
(*.f64 -1 (*.f64 (sqrt.f64 2) x))
(*.f64 x (neg.f64 (sqrt.f64 2)))
(*.f64 (sqrt.f64 2) (neg.f64 x))
(*.f64 -1 (*.f64 (sqrt.f64 2) x))
(*.f64 x (neg.f64 (sqrt.f64 2)))
(*.f64 (sqrt.f64 2) (neg.f64 x))
(*.f64 -1 (*.f64 (sqrt.f64 2) x))
(*.f64 x (neg.f64 (sqrt.f64 2)))
(*.f64 (sqrt.f64 2) (neg.f64 x))
(*.f64 -1 (*.f64 (sqrt.f64 2) x))
(*.f64 x (neg.f64 (sqrt.f64 2)))
(*.f64 (sqrt.f64 2) (neg.f64 x))
(-.f64 0 (*.f64 x (sqrt.f64 2)))
(*.f64 x (neg.f64 (sqrt.f64 2)))
(*.f64 (sqrt.f64 2) (neg.f64 x))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (sqrt.f64 2)))) 1)
(*.f64 (sqrt.f64 2) x)
(pow.f64 (*.f64 x (sqrt.f64 2)) 1)
(*.f64 (sqrt.f64 2) x)
(pow.f64 (cbrt.f64 (*.f64 x (sqrt.f64 2))) 3)
(*.f64 (sqrt.f64 2) x)
(pow.f64 (pow.f64 (*.f64 x (sqrt.f64 2)) 3) 1/3)
(*.f64 (sqrt.f64 2) x)
(pow.f64 (sqrt.f64 (*.f64 x (sqrt.f64 2))) 2)
(*.f64 (sqrt.f64 2) x)
(neg.f64 (*.f64 x (sqrt.f64 2)))
(*.f64 x (neg.f64 (sqrt.f64 2)))
(*.f64 (sqrt.f64 2) (neg.f64 x))
(sqrt.f64 (*.f64 2 (*.f64 x x)))
(sqrt.f64 (*.f64 x (*.f64 2 x)))
(fabs.f64 (*.f64 (sqrt.f64 2) x))
(log.f64 (pow.f64 (exp.f64 x) (sqrt.f64 2)))
(*.f64 (sqrt.f64 2) x)
(log.f64 (+.f64 1 (expm1.f64 (*.f64 x (sqrt.f64 2)))))
(*.f64 (sqrt.f64 2) x)
(cbrt.f64 (pow.f64 (*.f64 x (sqrt.f64 2)) 3))
(*.f64 (sqrt.f64 2) x)
(cbrt.f64 (*.f64 (*.f64 2 (sqrt.f64 2)) (pow.f64 x 3)))
(*.f64 (sqrt.f64 2) x)
(cbrt.f64 (*.f64 (pow.f64 x 3) (*.f64 2 (sqrt.f64 2))))
(*.f64 (sqrt.f64 2) x)
(expm1.f64 (log1p.f64 (*.f64 x (sqrt.f64 2))))
(*.f64 (sqrt.f64 2) x)
(exp.f64 (log.f64 (*.f64 x (sqrt.f64 2))))
(*.f64 (sqrt.f64 2) x)
(exp.f64 (*.f64 (log.f64 (*.f64 x (sqrt.f64 2))) 1))
(*.f64 (sqrt.f64 2) x)
(log1p.f64 (expm1.f64 (*.f64 x (sqrt.f64 2))))
(*.f64 (sqrt.f64 2) x)

eval6.0ms (0.2%)

Compiler

Compiled 241 to 199 computations (17.4% saved)

prune7.0ms (0.3%)

Pruning

7 alts after pruning (1 fresh and 6 done)

PrunedKeptTotal
New37037
Fresh011
Picked011
Done055
Total37744
Accurracy
100.0%
Counts
44 → 7
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓100.0%
(hypot.f64 x x)
✓12.3%
(+.f64 x x)
✓5.3%
(*.f64 (+.f64 x x) x)
✓56.4%
(*.f64 (sqrt.f64 2) x)
✓45.2%
(*.f64 x (neg.f64 (sqrt.f64 2)))
✓5.3%
(*.f64 x x)
▶54.4%
(sqrt.f64 (*.f64 x (+.f64 x x)))
Compiler

Compiled 36 to 22 computations (38.9% saved)

localize5.0ms (0.2%)

Local Accuracy

Found 1 expressions with local accuracy:

NewAccuracyProgram
✓55.9%
(sqrt.f64 (*.f64 x (+.f64 x x)))
Compiler

Compiled 16 to 4 computations (75% saved)

series0.0ms (0%)

Counts
1 → 12
Calls

3 calls:

TimeVariablePointExpression
0.0ms
x
@0
(sqrt.f64 (*.f64 x (+.f64 x x)))
0.0ms
x
@-inf
(sqrt.f64 (*.f64 x (+.f64 x x)))
0.0ms
x
@inf
(sqrt.f64 (*.f64 x (+.f64 x x)))

rewrite69.0ms (2.7%)

Algorithm
1×batch-egg-rewrite
Rules
1058×pow1
988×add-exp-log
986×log1p-expm1-u
986×expm1-log1p-u
966×add-log-exp
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0717
11487
220537
Stop Event
1×node limit
Counts
1 → 77
Calls
Call 1
Inputs
(sqrt.f64 (*.f64 x (+.f64 x x)))
Outputs
(((+.f64 x x) #(struct:egraph-query ((sqrt.f64 (*.f64 x (+.f64 x x)))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((+.f64 (+.f64 x x) (+.f64 x x)) #(struct:egraph-query ((sqrt.f64 (*.f64 x (+.f64 x x)))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((+.f64 (*.f64 x x) (*.f64 x x)) #(struct:egraph-query ((sqrt.f64 (*.f64 x (+.f64 x x)))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((+.f64 (*.f64 (*.f64 x x) 1) (*.f64 (*.f64 x x) 1)) #(struct:egraph-query ((sqrt.f64 (*.f64 x (+.f64 x x)))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((-.f64 (+.f64 1 (+.f64 x x)) 1) #(struct:egraph-query ((sqrt.f64 (*.f64 x (+.f64 x x)))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((-.f64 (/.f64 (*.f64 x x) 0) (/.f64 (*.f64 x x) 0)) #(struct:egraph-query ((sqrt.f64 (*.f64 x (+.f64 x x)))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((*.f64 x (+.f64 x x)) #(struct:egraph-query ((sqrt.f64 (*.f64 x (+.f64 x x)))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((*.f64 x 2) #(struct:egraph-query ((sqrt.f64 (*.f64 x (+.f64 x x)))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((*.f64 (+.f64 x x) x) #(struct:egraph-query ((sqrt.f64 (*.f64 x (+.f64 x x)))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((*.f64 (+.f64 x x) (+.f64 x x)) #(struct:egraph-query ((sqrt.f64 (*.f64 x (+.f64 x x)))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((*.f64 (+.f64 x x) 1) #(struct:egraph-query ((sqrt.f64 (*.f64 x (+.f64 x x)))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((*.f64 (+.f64 x x) (cbrt.f64 x)) #(struct:egraph-query ((sqrt.f64 (*.f64 x (+.f64 x x)))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((*.f64 (+.f64 x x) (*.f64 x x)) #(struct:egraph-query ((sqrt.f64 (*.f64 x (+.f64 x x)))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((*.f64 (+.f64 x x) (sqrt.f64 x)) #(struct:egraph-query ((sqrt.f64 (*.f64 x (+.f64 x x)))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((*.f64 (+.f64 x x) (pow.f64 x 3)) #(struct:egraph-query ((sqrt.f64 (*.f64 x (+.f64 x x)))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((*.f64 1 (+.f64 x x)) #(struct:egraph-query ((sqrt.f64 (*.f64 x (+.f64 x x)))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((*.f64 (cbrt.f64 x) (+.f64 x x)) #(struct:egraph-query ((sqrt.f64 (*.f64 x (+.f64 x x)))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((*.f64 (cbrt.f64 x) (+.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 x) 2))) #(struct:egraph-query ((sqrt.f64 (*.f64 x (+.f64 x x)))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((*.f64 (pow.f64 (cbrt.f64 x) 2) (+.f64 x x)) #(struct:egraph-query ((sqrt.f64 (*.f64 x (+.f64 x x)))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((*.f64 (pow.f64 (cbrt.f64 x) 2) (+.f64 (cbrt.f64 x) (cbrt.f64 x))) #(struct:egraph-query ((sqrt.f64 (*.f64 x (+.f64 x x)))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((*.f64 (*.f64 x x) (+.f64 x x)) #(struct:egraph-query ((sqrt.f64 (*.f64 x (+.f64 x x)))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((*.f64 (sqrt.f64 x) (+.f64 x x)) #(struct:egraph-query ((sqrt.f64 (*.f64 x (+.f64 x x)))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((*.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 x) (sqrt.f64 x))) #(struct:egraph-query ((sqrt.f64 (*.f64 x (+.f64 x x)))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((*.f64 (pow.f64 x 3) (+.f64 x x)) #(struct:egraph-query ((sqrt.f64 (*.f64 x (+.f64 x x)))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((*.f64 (*.f64 2 (pow.f64 x 3)) (/.f64 1 (fma.f64 x x 0))) #(struct:egraph-query ((sqrt.f64 (*.f64 x (+.f64 x x)))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((*.f64 0 (/.f64 1 0)) #(struct:egraph-query ((sqrt.f64 (*.f64 x (+.f64 x x)))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((*.f64 2 x) #(struct:egraph-query ((sqrt.f64 (*.f64 x (+.f64 x x)))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((*.f64 2 (+.f64 x x)) #(struct:egraph-query ((sqrt.f64 (*.f64 x (+.f64 x x)))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((*.f64 2 (*.f64 x x)) #(struct:egraph-query ((sqrt.f64 (*.f64 x (+.f64 x x)))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((*.f64 (cbrt.f64 (sqrt.f64 x)) (+.f64 x x)) #(struct:egraph-query ((sqrt.f64 (*.f64 x (+.f64 x x)))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((*.f64 (cbrt.f64 2) (cbrt.f64 x)) #(struct:egraph-query ((sqrt.f64 (*.f64 x (+.f64 x x)))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((*.f64 4 (*.f64 x x)) #(struct:egraph-query ((sqrt.f64 (*.f64 x (+.f64 x x)))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((*.f64 (sqrt.f64 (sqrt.f64 x)) (+.f64 x x)) #(struct:egraph-query ((sqrt.f64 (*.f64 x (+.f64 x x)))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((*.f64 (sqrt.f64 2) (sqrt.f64 x)) #(struct:egraph-query ((sqrt.f64 (*.f64 x (+.f64 x x)))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((*.f64 (pow.f64 1 1/2) (+.f64 x x)) #(struct:egraph-query ((sqrt.f64 (*.f64 x (+.f64 x x)))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((*.f64 (*.f64 (+.f64 x x) 2) x) #(struct:egraph-query ((sqrt.f64 (*.f64 x (+.f64 x x)))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((*.f64 (*.f64 (+.f64 x x) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x)) #(struct:egraph-query ((sqrt.f64 (*.f64 x (+.f64 x x)))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((*.f64 (*.f64 2 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x)) #(struct:egraph-query ((sqrt.f64 (*.f64 x (+.f64 x x)))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((*.f64 (*.f64 2 (sqrt.f64 x)) (sqrt.f64 x)) #(struct:egraph-query ((sqrt.f64 (*.f64 x (+.f64 x x)))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((/.f64 1 (+.f64 x x)) #(struct:egraph-query ((sqrt.f64 (*.f64 x (+.f64 x x)))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((/.f64 1 (/.f64 (fma.f64 x x 0) (*.f64 2 (pow.f64 x 3)))) #(struct:egraph-query ((sqrt.f64 (*.f64 x (+.f64 x x)))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((/.f64 (*.f64 2 (pow.f64 x 3)) (fma.f64 x x 0)) #(struct:egraph-query ((sqrt.f64 (*.f64 x (+.f64 x x)))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((/.f64 0 0) #(struct:egraph-query ((sqrt.f64 (*.f64 x (+.f64 x x)))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((/.f64 (cbrt.f64 (*.f64 2 (pow.f64 x 3))) (cbrt.f64 (fma.f64 x x 0))) #(struct:egraph-query ((sqrt.f64 (*.f64 x (+.f64 x x)))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((/.f64 (*.f64 (*.f64 2 (pow.f64 x 3)) (*.f64 2 (pow.f64 x 3))) (*.f64 (fma.f64 x x 0) (fma.f64 x x 0))) #(struct:egraph-query ((sqrt.f64 (*.f64 x (+.f64 x x)))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((/.f64 (sqrt.f64 0) (sqrt.f64 0)) #(struct:egraph-query ((sqrt.f64 (*.f64 x (+.f64 x x)))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((/.f64 (sqrt.f64 (*.f64 2 (pow.f64 x 3))) (sqrt.f64 (fma.f64 x x 0))) #(struct:egraph-query ((sqrt.f64 (*.f64 x (+.f64 x x)))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((/.f64 (*.f64 (*.f64 2 (pow.f64 x 3)) 0) (*.f64 (fma.f64 x x 0) 0)) #(struct:egraph-query ((sqrt.f64 (*.f64 x (+.f64 x x)))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((/.f64 (*.f64 0 (*.f64 2 (pow.f64 x 3))) (*.f64 0 (fma.f64 x x 0))) #(struct:egraph-query ((sqrt.f64 (*.f64 x (+.f64 x x)))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((/.f64 (neg.f64 (*.f64 2 (pow.f64 x 3))) (neg.f64 (fma.f64 x x 0))) #(struct:egraph-query ((sqrt.f64 (*.f64 x (+.f64 x x)))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((/.f64 (+.f64 (pow.f64 (*.f64 x x) 3) (pow.f64 (*.f64 x x) 3)) (+.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (-.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 (*.f64 x x) (*.f64 x x))))) #(struct:egraph-query ((sqrt.f64 (*.f64 x (+.f64 x x)))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((/.f64 (-.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 (*.f64 x x) (*.f64 x x))) 0) #(struct:egraph-query ((sqrt.f64 (*.f64 x (+.f64 x x)))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((/.f64 (*.f64 (+.f64 x x) (*.f64 2 (pow.f64 x 3))) (fma.f64 x x 0)) #(struct:egraph-query ((sqrt.f64 (*.f64 x (+.f64 x x)))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((/.f64 (*.f64 x (*.f64 2 (pow.f64 x 3))) (fma.f64 x x 0)) #(struct:egraph-query ((sqrt.f64 (*.f64 x (+.f64 x x)))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((/.f64 (*.f64 (*.f64 2 (pow.f64 x 3)) (+.f64 x x)) (fma.f64 x x 0)) #(struct:egraph-query ((sqrt.f64 (*.f64 x (+.f64 x x)))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((/.f64 (*.f64 0 (+.f64 x x)) 0) #(struct:egraph-query ((sqrt.f64 (*.f64 x (+.f64 x x)))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((/.f64 (*.f64 (*.f64 2 (pow.f64 x 3)) x) (fma.f64 x x 0)) #(struct:egraph-query ((sqrt.f64 (*.f64 x (+.f64 x x)))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((/.f64 (*.f64 0 x) 0) #(struct:egraph-query ((sqrt.f64 (*.f64 x (+.f64 x x)))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((pow.f64 (+.f64 x x) 1) #(struct:egraph-query ((sqrt.f64 (*.f64 x (+.f64 x x)))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((pow.f64 (+.f64 x x) 1/2) #(struct:egraph-query ((sqrt.f64 (*.f64 x (+.f64 x x)))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((pow.f64 (+.f64 x x) 3) #(struct:egraph-query ((sqrt.f64 (*.f64 x (+.f64 x x)))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((pow.f64 (+.f64 x x) 2) #(struct:egraph-query ((sqrt.f64 (*.f64 x (+.f64 x x)))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((pow.f64 (+.f64 x x) 1/4) #(struct:egraph-query ((sqrt.f64 (*.f64 x (+.f64 x x)))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((pow.f64 (+.f64 x x) 3/2) #(struct:egraph-query ((sqrt.f64 (*.f64 x (+.f64 x x)))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((pow.f64 (+.f64 x x) 1/3) #(struct:egraph-query ((sqrt.f64 (*.f64 x (+.f64 x x)))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((fabs.f64 (+.f64 x x)) #(struct:egraph-query ((sqrt.f64 (*.f64 x (+.f64 x x)))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((log.f64 (pow.f64 (exp.f64 2) x)) #(struct:egraph-query ((sqrt.f64 (*.f64 x (+.f64 x x)))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((cbrt.f64 (+.f64 x x)) #(struct:egraph-query ((sqrt.f64 (*.f64 x (+.f64 x x)))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((expm1.f64 (log1p.f64 (+.f64 x x))) #(struct:egraph-query ((sqrt.f64 (*.f64 x (+.f64 x x)))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((hypot.f64 x x) #(struct:egraph-query ((sqrt.f64 (*.f64 x (+.f64 x x)))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((hypot.f64 (sqrt.f64 x) (sqrt.f64 x)) #(struct:egraph-query ((sqrt.f64 (*.f64 x (+.f64 x x)))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((exp.f64 (log.f64 (+.f64 x x))) #(struct:egraph-query ((sqrt.f64 (*.f64 x (+.f64 x x)))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((log1p.f64 (expm1.f64 (+.f64 x x))) #(struct:egraph-query ((sqrt.f64 (*.f64 x (+.f64 x x)))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((fma.f64 x x (*.f64 x x)) #(struct:egraph-query ((sqrt.f64 (*.f64 x (+.f64 x x)))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((fma.f64 1 x x) #(struct:egraph-query ((sqrt.f64 (*.f64 x (+.f64 x x)))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) x) #(struct:egraph-query ((sqrt.f64 (*.f64 x (+.f64 x x)))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((fma.f64 (sqrt.f64 x) (sqrt.f64 x) x) #(struct:egraph-query ((sqrt.f64 (*.f64 x (+.f64 x x)))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)))

simplify21.0ms (0.8%)

Algorithm
1×egg-herbie
Rules
58×*-commutative
26×distribute-lft-in
24×associate-*l*
22×associate-/l*
20×sqr-pow
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0148469
1427469
Stop Event
1×unsound
Counts
89 → 90
Calls
Call 1
Inputs
(*.f64 (sqrt.f64 2) x)
(*.f64 (sqrt.f64 2) x)
(*.f64 (sqrt.f64 2) x)
(*.f64 (sqrt.f64 2) x)
(*.f64 (sqrt.f64 2) x)
(*.f64 (sqrt.f64 2) x)
(*.f64 (sqrt.f64 2) x)
(*.f64 (sqrt.f64 2) x)
(*.f64 -1 (*.f64 (sqrt.f64 2) x))
(*.f64 -1 (*.f64 (sqrt.f64 2) x))
(*.f64 -1 (*.f64 (sqrt.f64 2) x))
(*.f64 -1 (*.f64 (sqrt.f64 2) x))
(+.f64 x x)
(+.f64 (+.f64 x x) (+.f64 x x))
(+.f64 (*.f64 x x) (*.f64 x x))
(+.f64 (*.f64 (*.f64 x x) 1) (*.f64 (*.f64 x x) 1))
(-.f64 (+.f64 1 (+.f64 x x)) 1)
(-.f64 (/.f64 (*.f64 x x) 0) (/.f64 (*.f64 x x) 0))
(*.f64 x (+.f64 x x))
(*.f64 x 2)
(*.f64 (+.f64 x x) x)
(*.f64 (+.f64 x x) (+.f64 x x))
(*.f64 (+.f64 x x) 1)
(*.f64 (+.f64 x x) (cbrt.f64 x))
(*.f64 (+.f64 x x) (*.f64 x x))
(*.f64 (+.f64 x x) (sqrt.f64 x))
(*.f64 (+.f64 x x) (pow.f64 x 3))
(*.f64 1 (+.f64 x x))
(*.f64 (cbrt.f64 x) (+.f64 x x))
(*.f64 (cbrt.f64 x) (+.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 x) 2)))
(*.f64 (pow.f64 (cbrt.f64 x) 2) (+.f64 x x))
(*.f64 (pow.f64 (cbrt.f64 x) 2) (+.f64 (cbrt.f64 x) (cbrt.f64 x)))
(*.f64 (*.f64 x x) (+.f64 x x))
(*.f64 (sqrt.f64 x) (+.f64 x x))
(*.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 x) (sqrt.f64 x)))
(*.f64 (pow.f64 x 3) (+.f64 x x))
(*.f64 (*.f64 2 (pow.f64 x 3)) (/.f64 1 (fma.f64 x x 0)))
(*.f64 0 (/.f64 1 0))
(*.f64 2 x)
(*.f64 2 (+.f64 x x))
(*.f64 2 (*.f64 x x))
(*.f64 (cbrt.f64 (sqrt.f64 x)) (+.f64 x x))
(*.f64 (cbrt.f64 2) (cbrt.f64 x))
(*.f64 4 (*.f64 x x))
(*.f64 (sqrt.f64 (sqrt.f64 x)) (+.f64 x x))
(*.f64 (sqrt.f64 2) (sqrt.f64 x))
(*.f64 (pow.f64 1 1/2) (+.f64 x x))
(*.f64 (*.f64 (+.f64 x x) 2) x)
(*.f64 (*.f64 (+.f64 x x) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))
(*.f64 (*.f64 2 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))
(*.f64 (*.f64 2 (sqrt.f64 x)) (sqrt.f64 x))
(/.f64 1 (+.f64 x x))
(/.f64 1 (/.f64 (fma.f64 x x 0) (*.f64 2 (pow.f64 x 3))))
(/.f64 (*.f64 2 (pow.f64 x 3)) (fma.f64 x x 0))
(/.f64 0 0)
(/.f64 (cbrt.f64 (*.f64 2 (pow.f64 x 3))) (cbrt.f64 (fma.f64 x x 0)))
(/.f64 (*.f64 (*.f64 2 (pow.f64 x 3)) (*.f64 2 (pow.f64 x 3))) (*.f64 (fma.f64 x x 0) (fma.f64 x x 0)))
(/.f64 (sqrt.f64 0) (sqrt.f64 0))
(/.f64 (sqrt.f64 (*.f64 2 (pow.f64 x 3))) (sqrt.f64 (fma.f64 x x 0)))
(/.f64 (*.f64 (*.f64 2 (pow.f64 x 3)) 0) (*.f64 (fma.f64 x x 0) 0))
(/.f64 (*.f64 0 (*.f64 2 (pow.f64 x 3))) (*.f64 0 (fma.f64 x x 0)))
(/.f64 (neg.f64 (*.f64 2 (pow.f64 x 3))) (neg.f64 (fma.f64 x x 0)))
(/.f64 (+.f64 (pow.f64 (*.f64 x x) 3) (pow.f64 (*.f64 x x) 3)) (+.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (-.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 (*.f64 x x) (*.f64 x x)))))
(/.f64 (-.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 (*.f64 x x) (*.f64 x x))) 0)
(/.f64 (*.f64 (+.f64 x x) (*.f64 2 (pow.f64 x 3))) (fma.f64 x x 0))
(/.f64 (*.f64 x (*.f64 2 (pow.f64 x 3))) (fma.f64 x x 0))
(/.f64 (*.f64 (*.f64 2 (pow.f64 x 3)) (+.f64 x x)) (fma.f64 x x 0))
(/.f64 (*.f64 0 (+.f64 x x)) 0)
(/.f64 (*.f64 (*.f64 2 (pow.f64 x 3)) x) (fma.f64 x x 0))
(/.f64 (*.f64 0 x) 0)
(pow.f64 (+.f64 x x) 1)
(pow.f64 (+.f64 x x) 1/2)
(pow.f64 (+.f64 x x) 3)
(pow.f64 (+.f64 x x) 2)
(pow.f64 (+.f64 x x) 1/4)
(pow.f64 (+.f64 x x) 3/2)
(pow.f64 (+.f64 x x) 1/3)
(fabs.f64 (+.f64 x x))
(log.f64 (pow.f64 (exp.f64 2) x))
(cbrt.f64 (+.f64 x x))
(expm1.f64 (log1p.f64 (+.f64 x x)))
(hypot.f64 x x)
(hypot.f64 (sqrt.f64 x) (sqrt.f64 x))
(exp.f64 (log.f64 (+.f64 x x)))
(log1p.f64 (expm1.f64 (+.f64 x x)))
(fma.f64 x x (*.f64 x x))
(fma.f64 1 x x)
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) x)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) x)
Outputs
(*.f64 (sqrt.f64 2) x)
(*.f64 (sqrt.f64 2) x)
(*.f64 (sqrt.f64 2) x)
(*.f64 (sqrt.f64 2) x)
(*.f64 (sqrt.f64 2) x)
(*.f64 (sqrt.f64 2) x)
(*.f64 (sqrt.f64 2) x)
(*.f64 (sqrt.f64 2) x)
(*.f64 -1 (*.f64 (sqrt.f64 2) x))
(neg.f64 (*.f64 (sqrt.f64 2) x))
(*.f64 -1 (*.f64 (sqrt.f64 2) x))
(neg.f64 (*.f64 (sqrt.f64 2) x))
(*.f64 -1 (*.f64 (sqrt.f64 2) x))
(neg.f64 (*.f64 (sqrt.f64 2) x))
(*.f64 -1 (*.f64 (sqrt.f64 2) x))
(neg.f64 (*.f64 (sqrt.f64 2) x))
(+.f64 x x)
-1
(+.f64 (+.f64 x x) (+.f64 x x))
-1
(+.f64 (*.f64 x x) (*.f64 x x))
-1
(+.f64 (*.f64 (*.f64 x x) 1) (*.f64 (*.f64 x x) 1))
-1
(-.f64 (+.f64 1 (+.f64 x x)) 1)
-1
(-.f64 (/.f64 (*.f64 x x) 0) (/.f64 (*.f64 x x) 0))
-1
(*.f64 x (+.f64 x x))
-1
(*.f64 x 2)
-1
(*.f64 (+.f64 x x) x)
-1
(*.f64 (+.f64 x x) (+.f64 x x))
-1
(*.f64 (+.f64 x x) 1)
-1
(*.f64 (+.f64 x x) (cbrt.f64 x))
(*.f64 -1 (cbrt.f64 x))
(*.f64 (+.f64 x x) (*.f64 x x))
-1
(*.f64 (+.f64 x x) (sqrt.f64 x))
(*.f64 -1 (sqrt.f64 x))
(*.f64 (+.f64 x x) (pow.f64 x 3))
-1
(*.f64 1 (+.f64 x x))
-1
(*.f64 (cbrt.f64 x) (+.f64 x x))
(*.f64 -1 (cbrt.f64 x))
(*.f64 (cbrt.f64 x) (+.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 x) 2)))
(*.f64 -1 (cbrt.f64 x))
(*.f64 (pow.f64 (cbrt.f64 x) 2) (+.f64 x x))
-1
(*.f64 (pow.f64 (cbrt.f64 x) 2) (+.f64 (cbrt.f64 x) (cbrt.f64 x)))
(*.f64 -1 (cbrt.f64 x))
(*.f64 (*.f64 x x) (+.f64 x x))
-1
(*.f64 (sqrt.f64 x) (+.f64 x x))
(*.f64 -1 (sqrt.f64 x))
(*.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 x) (sqrt.f64 x)))
(*.f64 2 (*.f64 (sqrt.f64 x) (sqrt.f64 x)))
(*.f64 (pow.f64 x 3) (+.f64 x x))
-1
(*.f64 (*.f64 2 (pow.f64 x 3)) (/.f64 1 (fma.f64 x x 0)))
-1
(*.f64 0 (/.f64 1 0))
-1
(*.f64 2 x)
-1
(*.f64 2 (+.f64 x x))
-1
(*.f64 2 (*.f64 x x))
-1
(*.f64 (cbrt.f64 (sqrt.f64 x)) (+.f64 x x))
(*.f64 -1 (cbrt.f64 (sqrt.f64 x)))
(*.f64 (cbrt.f64 2) (cbrt.f64 x))
(*.f64 (cbrt.f64 x) (cbrt.f64 2))
(*.f64 4 (*.f64 x x))
-1
(*.f64 (sqrt.f64 (sqrt.f64 x)) (+.f64 x x))
(*.f64 -1 (sqrt.f64 (sqrt.f64 x)))
(*.f64 (sqrt.f64 2) (sqrt.f64 x))
(*.f64 (pow.f64 1 1/2) (+.f64 x x))
-1
(*.f64 (*.f64 (+.f64 x x) 2) x)
-1
(*.f64 (*.f64 (+.f64 x x) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))
(*.f64 -1 (cbrt.f64 x))
(*.f64 (*.f64 2 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))
(*.f64 -1 (cbrt.f64 x))
(*.f64 (*.f64 2 (sqrt.f64 x)) (sqrt.f64 x))
(*.f64 2 (*.f64 (sqrt.f64 x) (sqrt.f64 x)))
(/.f64 1 (+.f64 x x))
-1
(/.f64 1 (/.f64 (fma.f64 x x 0) (*.f64 2 (pow.f64 x 3))))
-1
(/.f64 (*.f64 2 (pow.f64 x 3)) (fma.f64 x x 0))
-1
(/.f64 0 0)
-1
(/.f64 (cbrt.f64 (*.f64 2 (pow.f64 x 3))) (cbrt.f64 (fma.f64 x x 0)))
-1
(/.f64 (*.f64 (*.f64 2 (pow.f64 x 3)) (*.f64 2 (pow.f64 x 3))) (*.f64 (fma.f64 x x 0) (fma.f64 x x 0)))
-1
(/.f64 (sqrt.f64 0) (sqrt.f64 0))
-1
(/.f64 (sqrt.f64 (*.f64 2 (pow.f64 x 3))) (sqrt.f64 (fma.f64 x x 0)))
-1
(/.f64 (*.f64 (*.f64 2 (pow.f64 x 3)) 0) (*.f64 (fma.f64 x x 0) 0))
-1
(/.f64 (*.f64 0 (*.f64 2 (pow.f64 x 3))) (*.f64 0 (fma.f64 x x 0)))
-1
(/.f64 (neg.f64 (*.f64 2 (pow.f64 x 3))) (neg.f64 (fma.f64 x x 0)))
-1
(/.f64 (+.f64 (pow.f64 (*.f64 x x) 3) (pow.f64 (*.f64 x x) 3)) (+.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (-.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 (*.f64 x x) (*.f64 x x)))))
-1
(/.f64 (-.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 (*.f64 x x) (*.f64 x x))) 0)
-1
(/.f64 (*.f64 (+.f64 x x) (*.f64 2 (pow.f64 x 3))) (fma.f64 x x 0))
-1
(/.f64 (*.f64 x (*.f64 2 (pow.f64 x 3))) (fma.f64 x x 0))
-1
(/.f64 (*.f64 (*.f64 2 (pow.f64 x 3)) (+.f64 x x)) (fma.f64 x x 0))
-1
(/.f64 (*.f64 0 (+.f64 x x)) 0)
-1
(/.f64 (*.f64 (*.f64 2 (pow.f64 x 3)) x) (fma.f64 x x 0))
-1
(/.f64 (*.f64 0 x) 0)
-1
(pow.f64 (+.f64 x x) 1)
-1
(pow.f64 (+.f64 x x) 1/2)
-1
(pow.f64 (+.f64 x x) 3)
-1
(pow.f64 (+.f64 x x) 2)
-1
(pow.f64 (+.f64 x x) 1/4)
-1
(pow.f64 (+.f64 x x) 3/2)
-1
(pow.f64 (+.f64 x x) 1/3)
-1
(fabs.f64 (+.f64 x x))
-1
(log.f64 (pow.f64 (exp.f64 2) x))
(*.f64 x (log.f64 (exp.f64 2)))
(cbrt.f64 (+.f64 x x))
-1
(expm1.f64 (log1p.f64 (+.f64 x x)))
-1
(hypot.f64 x x)
(hypot.f64 (sqrt.f64 x) (sqrt.f64 x))
(exp.f64 (log.f64 (+.f64 x x)))
-1
(log1p.f64 (expm1.f64 (+.f64 x x)))
-1
(fma.f64 x x (*.f64 x x))
-1
(fma.f64 1 x x)
(+.f64 -1 x)
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) x)
(fma.f64 -1 (cbrt.f64 x) x)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) x)

eval14.0ms (0.5%)

Compiler

Compiled 657 to 319 computations (51.4% saved)

prune16.0ms (0.6%)

Pruning

12 alts after pruning (6 fresh and 6 done)

PrunedKeptTotal
New84690
Fresh000
Picked011
Done156
Total851297
Accurracy
100.0%
Counts
97 → 12
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓100.0%
(hypot.f64 x x)
▶2.8%
(/.f64 1 (+.f64 x x))
▶8.3%
(-.f64 (+.f64 1 (+.f64 x x)) 1)
✓12.3%
(+.f64 x x)
▶6.6%
(+.f64 -1 x)
▶5.3%
(*.f64 (+.f64 x x) (+.f64 x x))
✓56.4%
(*.f64 (sqrt.f64 2) x)
✓45.2%
(*.f64 x (neg.f64 (sqrt.f64 2)))
✓5.3%
(*.f64 x x)
▶5.3%
(*.f64 4 (*.f64 x x))
✓54.4%
(sqrt.f64 (*.f64 x (+.f64 x x)))
1.7%
-1
Compiler

Compiled 96 to 61 computations (36.5% saved)

localize7.0ms (0.3%)

Local Accuracy

Found 1 expressions with local accuracy:

NewAccuracyProgram
✓94.6%
(-.f64 (+.f64 1 (+.f64 x x)) 1)
Compiler

Compiled 18 to 9 computations (50% saved)

series1.0ms (0%)

Counts
1 → 12
Calls

3 calls:

TimeVariablePointExpression
0.0ms
x
@0
(-.f64 (+.f64 1 (+.f64 x x)) 1)
0.0ms
x
@inf
(-.f64 (+.f64 1 (+.f64 x x)) 1)
0.0ms
x
@-inf
(-.f64 (+.f64 1 (+.f64 x x)) 1)

rewrite90.0ms (3.6%)

Algorithm
1×batch-egg-rewrite
Rules
1506×pow1
1420×add-exp-log
1416×log1p-expm1-u
1416×expm1-log1p-u
1404×add-log-exp
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0719
11657
226107
Stop Event
1×node limit
Counts
1 → 93
Calls
Call 1
Inputs
(-.f64 (+.f64 1 (+.f64 x x)) 1)
Outputs
(((+.f64 1 (fma.f64 2 x -1)) #(struct:egraph-query ((-.f64 (+.f64 1 (+.f64 x x)) 1)) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((+.f64 1 (*.f64 (fma.f64 2 x -1) 1)) #(struct:egraph-query ((-.f64 (+.f64 1 (+.f64 x x)) 1)) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((+.f64 x x) #(struct:egraph-query ((-.f64 (+.f64 1 (+.f64 x x)) 1)) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((+.f64 (+.f64 x x) 0) #(struct:egraph-query ((-.f64 (+.f64 1 (+.f64 x x)) 1)) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((+.f64 (+.f64 x x) (+.f64 (+.f64 x x) (*.f64 -2 x))) #(struct:egraph-query ((-.f64 (+.f64 1 (+.f64 x x)) 1)) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((+.f64 (+.f64 x x) (*.f64 (fma.f64 2 x -1) (+.f64 x x))) #(struct:egraph-query ((-.f64 (+.f64 1 (+.f64 x x)) 1)) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((+.f64 (fma.f64 2 x 1) -1) #(struct:egraph-query ((-.f64 (+.f64 1 (+.f64 x x)) 1)) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((+.f64 -1 (fma.f64 2 x 1)) #(struct:egraph-query ((-.f64 (+.f64 1 (+.f64 x x)) 1)) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((+.f64 (+.f64 1 x) (+.f64 x -1)) #(struct:egraph-query ((-.f64 (+.f64 1 (+.f64 x x)) 1)) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((+.f64 (+.f64 1 x) (-.f64 x 1)) #(struct:egraph-query ((-.f64 (+.f64 1 (+.f64 x x)) 1)) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((+.f64 (fma.f64 2 x -1) 1) #(struct:egraph-query ((-.f64 (+.f64 1 (+.f64 x x)) 1)) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((+.f64 (*.f64 (+.f64 x x) x) (*.f64 (+.f64 x x) x)) #(struct:egraph-query ((-.f64 (+.f64 1 (+.f64 x x)) 1)) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((+.f64 (*.f64 (fma.f64 2 x 1) (+.f64 x x)) (*.f64 -1 (+.f64 x x))) #(struct:egraph-query ((-.f64 (+.f64 1 (+.f64 x x)) 1)) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((+.f64 (*.f64 x (+.f64 x x)) (*.f64 x (+.f64 x x))) #(struct:egraph-query ((-.f64 (+.f64 1 (+.f64 x x)) 1)) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((+.f64 (*.f64 (+.f64 x x) (fma.f64 2 x 1)) (*.f64 (+.f64 x x) -1)) #(struct:egraph-query ((-.f64 (+.f64 1 (+.f64 x x)) 1)) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((*.f64 1 (+.f64 x x)) #(struct:egraph-query ((-.f64 (+.f64 1 (+.f64 x x)) 1)) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((*.f64 x 2) #(struct:egraph-query ((-.f64 (+.f64 1 (+.f64 x x)) 1)) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((*.f64 (+.f64 x x) 1) #(struct:egraph-query ((-.f64 (+.f64 1 (+.f64 x x)) 1)) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((*.f64 (+.f64 x x) (+.f64 x x)) #(struct:egraph-query ((-.f64 (+.f64 1 (+.f64 x x)) 1)) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((*.f64 (cbrt.f64 x) (+.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 x) 2))) #(struct:egraph-query ((-.f64 (+.f64 1 (+.f64 x x)) 1)) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((*.f64 (pow.f64 (cbrt.f64 x) 2) (+.f64 (cbrt.f64 x) (cbrt.f64 x))) #(struct:egraph-query ((-.f64 (+.f64 1 (+.f64 x x)) 1)) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((*.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 x) (sqrt.f64 x))) #(struct:egraph-query ((-.f64 (+.f64 1 (+.f64 x x)) 1)) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((*.f64 (*.f64 2 (pow.f64 x 3)) (/.f64 1 (fma.f64 x x 0))) #(struct:egraph-query ((-.f64 (+.f64 1 (+.f64 x x)) 1)) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((*.f64 0 (/.f64 1 0)) #(struct:egraph-query ((-.f64 (+.f64 1 (+.f64 x x)) 1)) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((*.f64 (+.f64 (pow.f64 (fma.f64 2 x 1) 3) -1) (/.f64 1 (+.f64 (pow.f64 (fma.f64 2 x 1) 2) (+.f64 (+.f64 x x) 2)))) #(struct:egraph-query ((-.f64 (+.f64 1 (+.f64 x x)) 1)) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((*.f64 (+.f64 (pow.f64 (fma.f64 2 x 1) 2) -1) (/.f64 1 (+.f64 (+.f64 x x) 2))) #(struct:egraph-query ((-.f64 (+.f64 1 (+.f64 x x)) 1)) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((*.f64 2 x) #(struct:egraph-query ((-.f64 (+.f64 1 (+.f64 x x)) 1)) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((*.f64 2 (*.f64 x (+.f64 x x))) #(struct:egraph-query ((-.f64 (+.f64 1 (+.f64 x x)) 1)) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((*.f64 (cbrt.f64 2) (cbrt.f64 x)) #(struct:egraph-query ((-.f64 (+.f64 1 (+.f64 x x)) 1)) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((*.f64 4 (*.f64 x x)) #(struct:egraph-query ((-.f64 (+.f64 1 (+.f64 x x)) 1)) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((*.f64 8 (pow.f64 x 3)) #(struct:egraph-query ((-.f64 (+.f64 1 (+.f64 x x)) 1)) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((*.f64 (sqrt.f64 2) (sqrt.f64 x)) #(struct:egraph-query ((-.f64 (+.f64 1 (+.f64 x x)) 1)) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((*.f64 (+.f64 (sqrt.f64 (fma.f64 2 x 1)) 1) (-.f64 (sqrt.f64 (fma.f64 2 x 1)) 1)) #(struct:egraph-query ((-.f64 (+.f64 1 (+.f64 x x)) 1)) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((*.f64 (pow.f64 (+.f64 x x) 3/2) (pow.f64 (+.f64 x x) 3/2)) #(struct:egraph-query ((-.f64 (+.f64 1 (+.f64 x x)) 1)) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((*.f64 (*.f64 (+.f64 x x) 2) x) #(struct:egraph-query ((-.f64 (+.f64 1 (+.f64 x x)) 1)) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((*.f64 (*.f64 2 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x)) #(struct:egraph-query ((-.f64 (+.f64 1 (+.f64 x x)) 1)) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((*.f64 (*.f64 2 (sqrt.f64 x)) (sqrt.f64 x)) #(struct:egraph-query ((-.f64 (+.f64 1 (+.f64 x x)) 1)) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((/.f64 1 (+.f64 x x)) #(struct:egraph-query ((-.f64 (+.f64 1 (+.f64 x x)) 1)) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((/.f64 1 (/.f64 (fma.f64 x x 0) (*.f64 2 (pow.f64 x 3)))) #(struct:egraph-query ((-.f64 (+.f64 1 (+.f64 x x)) 1)) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((/.f64 1 (/.f64 (+.f64 (pow.f64 (fma.f64 2 x 1) 2) (+.f64 (+.f64 x x) 2)) (+.f64 (pow.f64 (fma.f64 2 x 1) 3) -1))) #(struct:egraph-query ((-.f64 (+.f64 1 (+.f64 x x)) 1)) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((/.f64 1 (/.f64 (+.f64 (+.f64 x x) 2) (+.f64 (pow.f64 (fma.f64 2 x 1) 2) -1))) #(struct:egraph-query ((-.f64 (+.f64 1 (+.f64 x x)) 1)) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((/.f64 (*.f64 2 (pow.f64 x 3)) (fma.f64 x x 0)) #(struct:egraph-query ((-.f64 (+.f64 1 (+.f64 x x)) 1)) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((/.f64 0 0) #(struct:egraph-query ((-.f64 (+.f64 1 (+.f64 x x)) 1)) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((/.f64 (+.f64 (pow.f64 (fma.f64 2 x 1) 3) -1) (+.f64 (pow.f64 (fma.f64 2 x 1) 2) (+.f64 (+.f64 x x) 2))) #(struct:egraph-query ((-.f64 (+.f64 1 (+.f64 x x)) 1)) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((/.f64 (+.f64 (pow.f64 (fma.f64 2 x 1) 3) -1) (+.f64 (pow.f64 (fma.f64 2 x 1) 2) (-.f64 1 (*.f64 (fma.f64 2 x 1) -1)))) #(struct:egraph-query ((-.f64 (+.f64 1 (+.f64 x x)) 1)) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((/.f64 (+.f64 (pow.f64 (fma.f64 2 x 1) 2) -1) (+.f64 (+.f64 x x) 2)) #(struct:egraph-query ((-.f64 (+.f64 1 (+.f64 x x)) 1)) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((/.f64 (+.f64 (pow.f64 (fma.f64 2 x 1) 2) -1) (-.f64 (fma.f64 2 x 1) -1)) #(struct:egraph-query ((-.f64 (+.f64 1 (+.f64 x x)) 1)) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((/.f64 (cbrt.f64 (+.f64 (pow.f64 (fma.f64 2 x 1) 3) -1)) (cbrt.f64 (+.f64 (pow.f64 (fma.f64 2 x 1) 2) (+.f64 (+.f64 x x) 2)))) #(struct:egraph-query ((-.f64 (+.f64 1 (+.f64 x x)) 1)) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((/.f64 (cbrt.f64 (+.f64 (pow.f64 (fma.f64 2 x 1) 2) -1)) (cbrt.f64 (+.f64 (+.f64 x x) 2))) #(struct:egraph-query ((-.f64 (+.f64 1 (+.f64 x x)) 1)) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((/.f64 (cbrt.f64 (*.f64 2 (pow.f64 x 3))) (cbrt.f64 (fma.f64 x x 0))) #(struct:egraph-query ((-.f64 (+.f64 1 (+.f64 x x)) 1)) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((/.f64 (*.f64 (+.f64 (pow.f64 (fma.f64 2 x 1) 3) -1) (+.f64 (pow.f64 (fma.f64 2 x 1) 3) -1)) (*.f64 (+.f64 (pow.f64 (fma.f64 2 x 1) 2) (+.f64 (+.f64 x x) 2)) (+.f64 (pow.f64 (fma.f64 2 x 1) 2) (+.f64 (+.f64 x x) 2)))) #(struct:egraph-query ((-.f64 (+.f64 1 (+.f64 x x)) 1)) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((/.f64 (*.f64 (+.f64 (pow.f64 (fma.f64 2 x 1) 2) -1) (+.f64 (pow.f64 (fma.f64 2 x 1) 2) -1)) (*.f64 (+.f64 (+.f64 x x) 2) (+.f64 (+.f64 x x) 2))) #(struct:egraph-query ((-.f64 (+.f64 1 (+.f64 x x)) 1)) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((/.f64 (*.f64 (*.f64 2 (pow.f64 x 3)) (*.f64 2 (pow.f64 x 3))) (*.f64 (fma.f64 x x 0) (fma.f64 x x 0))) #(struct:egraph-query ((-.f64 (+.f64 1 (+.f64 x x)) 1)) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((/.f64 (sqrt.f64 (+.f64 (pow.f64 (fma.f64 2 x 1) 3) -1)) (sqrt.f64 (+.f64 (pow.f64 (fma.f64 2 x 1) 2) (+.f64 (+.f64 x x) 2)))) #(struct:egraph-query ((-.f64 (+.f64 1 (+.f64 x x)) 1)) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((/.f64 (sqrt.f64 (+.f64 (pow.f64 (fma.f64 2 x 1) 2) -1)) (sqrt.f64 (+.f64 (+.f64 x x) 2))) #(struct:egraph-query ((-.f64 (+.f64 1 (+.f64 x x)) 1)) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((/.f64 (sqrt.f64 (*.f64 2 (pow.f64 x 3))) (sqrt.f64 (fma.f64 x x 0))) #(struct:egraph-query ((-.f64 (+.f64 1 (+.f64 x x)) 1)) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((/.f64 (sqrt.f64 0) (sqrt.f64 0)) #(struct:egraph-query ((-.f64 (+.f64 1 (+.f64 x x)) 1)) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((/.f64 (pow.f64 (*.f64 2 (pow.f64 x 3)) 3) (pow.f64 (fma.f64 x x 0) 3)) #(struct:egraph-query ((-.f64 (+.f64 1 (+.f64 x x)) 1)) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((/.f64 (*.f64 (*.f64 2 (pow.f64 x 3)) 0) (*.f64 (fma.f64 x x 0) 0)) #(struct:egraph-query ((-.f64 (+.f64 1 (+.f64 x x)) 1)) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((/.f64 (*.f64 0 (*.f64 2 (pow.f64 x 3))) (*.f64 0 (fma.f64 x x 0))) #(struct:egraph-query ((-.f64 (+.f64 1 (+.f64 x x)) 1)) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((/.f64 (*.f64 (+.f64 (pow.f64 (fma.f64 2 x 1) 3) -1) (+.f64 (pow.f64 (fma.f64 2 x 1) 2) -1)) (*.f64 (+.f64 (pow.f64 (fma.f64 2 x 1) 2) (+.f64 (+.f64 x x) 2)) (+.f64 (+.f64 x x) 2))) #(struct:egraph-query ((-.f64 (+.f64 1 (+.f64 x x)) 1)) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((/.f64 (*.f64 (+.f64 (pow.f64 (fma.f64 2 x 1) 2) -1) (+.f64 (pow.f64 (fma.f64 2 x 1) 3) -1)) (*.f64 (+.f64 (+.f64 x x) 2) (+.f64 (pow.f64 (fma.f64 2 x 1) 2) (+.f64 (+.f64 x x) 2)))) #(struct:egraph-query ((-.f64 (+.f64 1 (+.f64 x x)) 1)) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((/.f64 (neg.f64 (*.f64 2 (pow.f64 x 3))) (neg.f64 (fma.f64 x x 0))) #(struct:egraph-query ((-.f64 (+.f64 1 (+.f64 x x)) 1)) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((/.f64 (neg.f64 (+.f64 (pow.f64 (fma.f64 2 x 1) 3) -1)) (neg.f64 (+.f64 (pow.f64 (fma.f64 2 x 1) 2) (+.f64 (+.f64 x x) 2)))) #(struct:egraph-query ((-.f64 (+.f64 1 (+.f64 x x)) 1)) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((/.f64 (neg.f64 (+.f64 (pow.f64 (fma.f64 2 x 1) 2) -1)) (neg.f64 (+.f64 (+.f64 x x) 2))) #(struct:egraph-query ((-.f64 (+.f64 1 (+.f64 x x)) 1)) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((/.f64 (+.f64 1 (pow.f64 (fma.f64 2 x -1) 3)) (+.f64 1 (-.f64 (*.f64 (fma.f64 2 x -1) (fma.f64 2 x -1)) (fma.f64 2 x -1)))) #(struct:egraph-query ((-.f64 (+.f64 1 (+.f64 x x)) 1)) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((/.f64 (-.f64 1 (*.f64 (fma.f64 2 x -1) (fma.f64 2 x -1))) (-.f64 1 (fma.f64 2 x -1))) #(struct:egraph-query ((-.f64 (+.f64 1 (+.f64 x x)) 1)) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((/.f64 (*.f64 (+.f64 x x) (*.f64 2 (pow.f64 x 3))) (fma.f64 x x 0)) #(struct:egraph-query ((-.f64 (+.f64 1 (+.f64 x x)) 1)) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((/.f64 (*.f64 (+.f64 x x) (+.f64 (pow.f64 (fma.f64 2 x 1) 3) -1)) (+.f64 (pow.f64 (fma.f64 2 x 1) 2) (+.f64 (+.f64 x x) 2))) #(struct:egraph-query ((-.f64 (+.f64 1 (+.f64 x x)) 1)) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((/.f64 (*.f64 (+.f64 x x) (+.f64 (pow.f64 (fma.f64 2 x 1) 2) -1)) (+.f64 (+.f64 x x) 2)) #(struct:egraph-query ((-.f64 (+.f64 1 (+.f64 x x)) 1)) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((/.f64 (*.f64 (*.f64 2 (pow.f64 x 3)) (+.f64 x x)) (fma.f64 x x 0)) #(struct:egraph-query ((-.f64 (+.f64 1 (+.f64 x x)) 1)) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((/.f64 (*.f64 0 (+.f64 x x)) 0) #(struct:egraph-query ((-.f64 (+.f64 1 (+.f64 x x)) 1)) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((/.f64 (*.f64 (+.f64 (pow.f64 (fma.f64 2 x 1) 3) -1) (+.f64 x x)) (+.f64 (pow.f64 (fma.f64 2 x 1) 2) (+.f64 (+.f64 x x) 2))) #(struct:egraph-query ((-.f64 (+.f64 1 (+.f64 x x)) 1)) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((/.f64 (*.f64 (+.f64 (pow.f64 (fma.f64 2 x 1) 2) -1) (+.f64 x x)) (+.f64 (+.f64 x x) 2)) #(struct:egraph-query ((-.f64 (+.f64 1 (+.f64 x x)) 1)) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((pow.f64 (+.f64 x x) 1) #(struct:egraph-query ((-.f64 (+.f64 1 (+.f64 x x)) 1)) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((pow.f64 (+.f64 x x) 3) #(struct:egraph-query ((-.f64 (+.f64 1 (+.f64 x x)) 1)) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((pow.f64 (+.f64 x x) 2) #(struct:egraph-query ((-.f64 (+.f64 1 (+.f64 x x)) 1)) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((pow.f64 (+.f64 x x) 1/2) #(struct:egraph-query ((-.f64 (+.f64 1 (+.f64 x x)) 1)) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((pow.f64 (+.f64 x x) 1/3) #(struct:egraph-query ((-.f64 (+.f64 1 (+.f64 x x)) 1)) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((sqrt.f64 (+.f64 x x)) #(struct:egraph-query ((-.f64 (+.f64 1 (+.f64 x x)) 1)) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((fabs.f64 (+.f64 x x)) #(struct:egraph-query ((-.f64 (+.f64 1 (+.f64 x x)) 1)) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((log.f64 (pow.f64 (exp.f64 2) x)) #(struct:egraph-query ((-.f64 (+.f64 1 (+.f64 x x)) 1)) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((cbrt.f64 (+.f64 x x)) #(struct:egraph-query ((-.f64 (+.f64 1 (+.f64 x x)) 1)) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((expm1.f64 (log1p.f64 (+.f64 x x))) #(struct:egraph-query ((-.f64 (+.f64 1 (+.f64 x x)) 1)) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((hypot.f64 (sqrt.f64 x) (sqrt.f64 x)) #(struct:egraph-query ((-.f64 (+.f64 1 (+.f64 x x)) 1)) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((exp.f64 (log.f64 (+.f64 x x))) #(struct:egraph-query ((-.f64 (+.f64 1 (+.f64 x x)) 1)) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((log1p.f64 (expm1.f64 (+.f64 x x))) #(struct:egraph-query ((-.f64 (+.f64 1 (+.f64 x x)) 1)) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((fma.f64 1 x x) #(struct:egraph-query ((-.f64 (+.f64 1 (+.f64 x x)) 1)) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((fma.f64 1 (fma.f64 2 x 1) -1) #(struct:egraph-query ((-.f64 (+.f64 1 (+.f64 x x)) 1)) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((fma.f64 (pow.f64 (cbrt.f64 (fma.f64 2 x 1)) 2) (cbrt.f64 (fma.f64 2 x 1)) -1) #(struct:egraph-query ((-.f64 (+.f64 1 (+.f64 x x)) 1)) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) x) #(struct:egraph-query ((-.f64 (+.f64 1 (+.f64 x x)) 1)) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((fma.f64 (sqrt.f64 (fma.f64 2 x 1)) (sqrt.f64 (fma.f64 2 x 1)) -1) #(struct:egraph-query ((-.f64 (+.f64 1 (+.f64 x x)) 1)) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((fma.f64 (sqrt.f64 x) (sqrt.f64 x) x) #(struct:egraph-query ((-.f64 (+.f64 1 (+.f64 x x)) 1)) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)))

simplify25.0ms (1%)

Algorithm
1×egg-herbie
Rules
60×*-commutative
44×distribute-lft-in
38×distribute-rgt-in
38×+-commutative
30×associate-/l*
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0216357
1790357
Stop Event
1×unsound
Counts
105 → 103
Calls
Call 1
Inputs
(*.f64 2 x)
(*.f64 2 x)
(*.f64 2 x)
(*.f64 2 x)
(*.f64 2 x)
(*.f64 2 x)
(*.f64 2 x)
(*.f64 2 x)
(*.f64 2 x)
(*.f64 2 x)
(*.f64 2 x)
(*.f64 2 x)
(+.f64 1 (fma.f64 2 x -1))
(+.f64 1 (*.f64 (fma.f64 2 x -1) 1))
(+.f64 x x)
(+.f64 (+.f64 x x) 0)
(+.f64 (+.f64 x x) (+.f64 (+.f64 x x) (*.f64 -2 x)))
(+.f64 (+.f64 x x) (*.f64 (fma.f64 2 x -1) (+.f64 x x)))
(+.f64 (fma.f64 2 x 1) -1)
(+.f64 -1 (fma.f64 2 x 1))
(+.f64 (+.f64 1 x) (+.f64 x -1))
(+.f64 (+.f64 1 x) (-.f64 x 1))
(+.f64 (fma.f64 2 x -1) 1)
(+.f64 (*.f64 (+.f64 x x) x) (*.f64 (+.f64 x x) x))
(+.f64 (*.f64 (fma.f64 2 x 1) (+.f64 x x)) (*.f64 -1 (+.f64 x x)))
(+.f64 (*.f64 x (+.f64 x x)) (*.f64 x (+.f64 x x)))
(+.f64 (*.f64 (+.f64 x x) (fma.f64 2 x 1)) (*.f64 (+.f64 x x) -1))
(*.f64 1 (+.f64 x x))
(*.f64 x 2)
(*.f64 (+.f64 x x) 1)
(*.f64 (+.f64 x x) (+.f64 x x))
(*.f64 (cbrt.f64 x) (+.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 x) 2)))
(*.f64 (pow.f64 (cbrt.f64 x) 2) (+.f64 (cbrt.f64 x) (cbrt.f64 x)))
(*.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 x) (sqrt.f64 x)))
(*.f64 (*.f64 2 (pow.f64 x 3)) (/.f64 1 (fma.f64 x x 0)))
(*.f64 0 (/.f64 1 0))
(*.f64 (+.f64 (pow.f64 (fma.f64 2 x 1) 3) -1) (/.f64 1 (+.f64 (pow.f64 (fma.f64 2 x 1) 2) (+.f64 (+.f64 x x) 2))))
(*.f64 (+.f64 (pow.f64 (fma.f64 2 x 1) 2) -1) (/.f64 1 (+.f64 (+.f64 x x) 2)))
(*.f64 2 x)
(*.f64 2 (*.f64 x (+.f64 x x)))
(*.f64 (cbrt.f64 2) (cbrt.f64 x))
(*.f64 4 (*.f64 x x))
(*.f64 8 (pow.f64 x 3))
(*.f64 (sqrt.f64 2) (sqrt.f64 x))
(*.f64 (+.f64 (sqrt.f64 (fma.f64 2 x 1)) 1) (-.f64 (sqrt.f64 (fma.f64 2 x 1)) 1))
(*.f64 (pow.f64 (+.f64 x x) 3/2) (pow.f64 (+.f64 x x) 3/2))
(*.f64 (*.f64 (+.f64 x x) 2) x)
(*.f64 (*.f64 2 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))
(*.f64 (*.f64 2 (sqrt.f64 x)) (sqrt.f64 x))
(/.f64 1 (+.f64 x x))
(/.f64 1 (/.f64 (fma.f64 x x 0) (*.f64 2 (pow.f64 x 3))))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (fma.f64 2 x 1) 2) (+.f64 (+.f64 x x) 2)) (+.f64 (pow.f64 (fma.f64 2 x 1) 3) -1)))
(/.f64 1 (/.f64 (+.f64 (+.f64 x x) 2) (+.f64 (pow.f64 (fma.f64 2 x 1) 2) -1)))
(/.f64 (*.f64 2 (pow.f64 x 3)) (fma.f64 x x 0))
(/.f64 0 0)
(/.f64 (+.f64 (pow.f64 (fma.f64 2 x 1) 3) -1) (+.f64 (pow.f64 (fma.f64 2 x 1) 2) (+.f64 (+.f64 x x) 2)))
(/.f64 (+.f64 (pow.f64 (fma.f64 2 x 1) 3) -1) (+.f64 (pow.f64 (fma.f64 2 x 1) 2) (-.f64 1 (*.f64 (fma.f64 2 x 1) -1))))
(/.f64 (+.f64 (pow.f64 (fma.f64 2 x 1) 2) -1) (+.f64 (+.f64 x x) 2))
(/.f64 (+.f64 (pow.f64 (fma.f64 2 x 1) 2) -1) (-.f64 (fma.f64 2 x 1) -1))
(/.f64 (cbrt.f64 (+.f64 (pow.f64 (fma.f64 2 x 1) 3) -1)) (cbrt.f64 (+.f64 (pow.f64 (fma.f64 2 x 1) 2) (+.f64 (+.f64 x x) 2))))
(/.f64 (cbrt.f64 (+.f64 (pow.f64 (fma.f64 2 x 1) 2) -1)) (cbrt.f64 (+.f64 (+.f64 x x) 2)))
(/.f64 (cbrt.f64 (*.f64 2 (pow.f64 x 3))) (cbrt.f64 (fma.f64 x x 0)))
(/.f64 (*.f64 (+.f64 (pow.f64 (fma.f64 2 x 1) 3) -1) (+.f64 (pow.f64 (fma.f64 2 x 1) 3) -1)) (*.f64 (+.f64 (pow.f64 (fma.f64 2 x 1) 2) (+.f64 (+.f64 x x) 2)) (+.f64 (pow.f64 (fma.f64 2 x 1) 2) (+.f64 (+.f64 x x) 2))))
(/.f64 (*.f64 (+.f64 (pow.f64 (fma.f64 2 x 1) 2) -1) (+.f64 (pow.f64 (fma.f64 2 x 1) 2) -1)) (*.f64 (+.f64 (+.f64 x x) 2) (+.f64 (+.f64 x x) 2)))
(/.f64 (*.f64 (*.f64 2 (pow.f64 x 3)) (*.f64 2 (pow.f64 x 3))) (*.f64 (fma.f64 x x 0) (fma.f64 x x 0)))
(/.f64 (sqrt.f64 (+.f64 (pow.f64 (fma.f64 2 x 1) 3) -1)) (sqrt.f64 (+.f64 (pow.f64 (fma.f64 2 x 1) 2) (+.f64 (+.f64 x x) 2))))
(/.f64 (sqrt.f64 (+.f64 (pow.f64 (fma.f64 2 x 1) 2) -1)) (sqrt.f64 (+.f64 (+.f64 x x) 2)))
(/.f64 (sqrt.f64 (*.f64 2 (pow.f64 x 3))) (sqrt.f64 (fma.f64 x x 0)))
(/.f64 (sqrt.f64 0) (sqrt.f64 0))
(/.f64 (pow.f64 (*.f64 2 (pow.f64 x 3)) 3) (pow.f64 (fma.f64 x x 0) 3))
(/.f64 (*.f64 (*.f64 2 (pow.f64 x 3)) 0) (*.f64 (fma.f64 x x 0) 0))
(/.f64 (*.f64 0 (*.f64 2 (pow.f64 x 3))) (*.f64 0 (fma.f64 x x 0)))
(/.f64 (*.f64 (+.f64 (pow.f64 (fma.f64 2 x 1) 3) -1) (+.f64 (pow.f64 (fma.f64 2 x 1) 2) -1)) (*.f64 (+.f64 (pow.f64 (fma.f64 2 x 1) 2) (+.f64 (+.f64 x x) 2)) (+.f64 (+.f64 x x) 2)))
(/.f64 (*.f64 (+.f64 (pow.f64 (fma.f64 2 x 1) 2) -1) (+.f64 (pow.f64 (fma.f64 2 x 1) 3) -1)) (*.f64 (+.f64 (+.f64 x x) 2) (+.f64 (pow.f64 (fma.f64 2 x 1) 2) (+.f64 (+.f64 x x) 2))))
(/.f64 (neg.f64 (*.f64 2 (pow.f64 x 3))) (neg.f64 (fma.f64 x x 0)))
(/.f64 (neg.f64 (+.f64 (pow.f64 (fma.f64 2 x 1) 3) -1)) (neg.f64 (+.f64 (pow.f64 (fma.f64 2 x 1) 2) (+.f64 (+.f64 x x) 2))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (fma.f64 2 x 1) 2) -1)) (neg.f64 (+.f64 (+.f64 x x) 2)))
(/.f64 (+.f64 1 (pow.f64 (fma.f64 2 x -1) 3)) (+.f64 1 (-.f64 (*.f64 (fma.f64 2 x -1) (fma.f64 2 x -1)) (fma.f64 2 x -1))))
(/.f64 (-.f64 1 (*.f64 (fma.f64 2 x -1) (fma.f64 2 x -1))) (-.f64 1 (fma.f64 2 x -1)))
(/.f64 (*.f64 (+.f64 x x) (*.f64 2 (pow.f64 x 3))) (fma.f64 x x 0))
(/.f64 (*.f64 (+.f64 x x) (+.f64 (pow.f64 (fma.f64 2 x 1) 3) -1)) (+.f64 (pow.f64 (fma.f64 2 x 1) 2) (+.f64 (+.f64 x x) 2)))
(/.f64 (*.f64 (+.f64 x x) (+.f64 (pow.f64 (fma.f64 2 x 1) 2) -1)) (+.f64 (+.f64 x x) 2))
(/.f64 (*.f64 (*.f64 2 (pow.f64 x 3)) (+.f64 x x)) (fma.f64 x x 0))
(/.f64 (*.f64 0 (+.f64 x x)) 0)
(/.f64 (*.f64 (+.f64 (pow.f64 (fma.f64 2 x 1) 3) -1) (+.f64 x x)) (+.f64 (pow.f64 (fma.f64 2 x 1) 2) (+.f64 (+.f64 x x) 2)))
(/.f64 (*.f64 (+.f64 (pow.f64 (fma.f64 2 x 1) 2) -1) (+.f64 x x)) (+.f64 (+.f64 x x) 2))
(pow.f64 (+.f64 x x) 1)
(pow.f64 (+.f64 x x) 3)
(pow.f64 (+.f64 x x) 2)
(pow.f64 (+.f64 x x) 1/2)
(pow.f64 (+.f64 x x) 1/3)
(sqrt.f64 (+.f64 x x))
(fabs.f64 (+.f64 x x))
(log.f64 (pow.f64 (exp.f64 2) x))
(cbrt.f64 (+.f64 x x))
(expm1.f64 (log1p.f64 (+.f64 x x)))
(hypot.f64 (sqrt.f64 x) (sqrt.f64 x))
(exp.f64 (log.f64 (+.f64 x x)))
(log1p.f64 (expm1.f64 (+.f64 x x)))
(fma.f64 1 x x)
(fma.f64 1 (fma.f64 2 x 1) -1)
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 2 x 1)) 2) (cbrt.f64 (fma.f64 2 x 1)) -1)
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) x)
(fma.f64 (sqrt.f64 (fma.f64 2 x 1)) (sqrt.f64 (fma.f64 2 x 1)) -1)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) x)
Outputs
(*.f64 2 x)
-2
(*.f64 2 x)
-2
(*.f64 2 x)
-2
(*.f64 2 x)
-2
(*.f64 2 x)
-2
(*.f64 2 x)
-2
(*.f64 2 x)
-2
(*.f64 2 x)
-2
(*.f64 2 x)
-2
(*.f64 2 x)
-2
(*.f64 2 x)
-2
(*.f64 2 x)
-2
(+.f64 1 (fma.f64 2 x -1))
-2
(+.f64 1 (*.f64 (fma.f64 2 x -1) 1))
-2
(+.f64 x x)
-2
(+.f64 (+.f64 x x) 0)
-2
(+.f64 (+.f64 x x) (+.f64 (+.f64 x x) (*.f64 -2 x)))
-2
(+.f64 (+.f64 x x) (*.f64 (fma.f64 2 x -1) (+.f64 x x)))
-2
(+.f64 (fma.f64 2 x 1) -1)
-2
(+.f64 -1 (fma.f64 2 x 1))
-2
(+.f64 (+.f64 1 x) (+.f64 x -1))
-2
(+.f64 (+.f64 1 x) (-.f64 x 1))
-2
(+.f64 (fma.f64 2 x -1) 1)
-2
(+.f64 (*.f64 (+.f64 x x) x) (*.f64 (+.f64 x x) x))
-2
(+.f64 (*.f64 (fma.f64 2 x 1) (+.f64 x x)) (*.f64 -1 (+.f64 x x)))
-2
(+.f64 (*.f64 x (+.f64 x x)) (*.f64 x (+.f64 x x)))
-2
(+.f64 (*.f64 (+.f64 x x) (fma.f64 2 x 1)) (*.f64 (+.f64 x x) -1))
-2
(*.f64 1 (+.f64 x x))
-2
(*.f64 x 2)
-2
(*.f64 (+.f64 x x) 1)
-2
(*.f64 (+.f64 x x) (+.f64 x x))
-2
(*.f64 (cbrt.f64 x) (+.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 x) 2)))
(*.f64 -2 (*.f64 (pow.f64 (cbrt.f64 x) -2) (cbrt.f64 x)))
(*.f64 (pow.f64 (cbrt.f64 x) 2) (+.f64 (cbrt.f64 x) (cbrt.f64 x)))
(*.f64 -2 (*.f64 (pow.f64 (cbrt.f64 x) -2) (cbrt.f64 x)))
(*.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 x) (sqrt.f64 x)))
(*.f64 (sqrt.f64 x) (*.f64 -2 (sqrt.f64 x)))
(*.f64 (*.f64 2 (pow.f64 x 3)) (/.f64 1 (fma.f64 x x 0)))
-2
(*.f64 0 (/.f64 1 0))
-2
(*.f64 (+.f64 (pow.f64 (fma.f64 2 x 1) 3) -1) (/.f64 1 (+.f64 (pow.f64 (fma.f64 2 x 1) 2) (+.f64 (+.f64 x x) 2))))
-2
(*.f64 (+.f64 (pow.f64 (fma.f64 2 x 1) 2) -1) (/.f64 1 (+.f64 (+.f64 x x) 2)))
-2
(*.f64 2 x)
-2
(*.f64 2 (*.f64 x (+.f64 x x)))
-2
(*.f64 (cbrt.f64 2) (cbrt.f64 x))
(*.f64 -2 (cbrt.f64 x))
(*.f64 4 (*.f64 x x))
-2
(*.f64 8 (pow.f64 x 3))
-2
(*.f64 (sqrt.f64 2) (sqrt.f64 x))
(*.f64 -2 (sqrt.f64 x))
(*.f64 (+.f64 (sqrt.f64 (fma.f64 2 x 1)) 1) (-.f64 (sqrt.f64 (fma.f64 2 x 1)) 1))
-2
(*.f64 (pow.f64 (+.f64 x x) 3/2) (pow.f64 (+.f64 x x) 3/2))
-2
(*.f64 (*.f64 (+.f64 x x) 2) x)
-2
(*.f64 (*.f64 2 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))
(*.f64 -2 (*.f64 (pow.f64 (cbrt.f64 x) -2) (cbrt.f64 x)))
(*.f64 (*.f64 2 (sqrt.f64 x)) (sqrt.f64 x))
(*.f64 (sqrt.f64 x) (*.f64 -2 (sqrt.f64 x)))
(/.f64 1 (+.f64 x x))
-2
(/.f64 1 (/.f64 (fma.f64 x x 0) (*.f64 2 (pow.f64 x 3))))
-2
(/.f64 1 (/.f64 (+.f64 (pow.f64 (fma.f64 2 x 1) 2) (+.f64 (+.f64 x x) 2)) (+.f64 (pow.f64 (fma.f64 2 x 1) 3) -1)))
-2
(/.f64 1 (/.f64 (+.f64 (+.f64 x x) 2) (+.f64 (pow.f64 (fma.f64 2 x 1) 2) -1)))
-2
(/.f64 (*.f64 2 (pow.f64 x 3)) (fma.f64 x x 0))
-2
(/.f64 0 0)
-2
(/.f64 (+.f64 (pow.f64 (fma.f64 2 x 1) 3) -1) (+.f64 (pow.f64 (fma.f64 2 x 1) 2) (+.f64 (+.f64 x x) 2)))
-2
(/.f64 (+.f64 (pow.f64 (fma.f64 2 x 1) 3) -1) (+.f64 (pow.f64 (fma.f64 2 x 1) 2) (-.f64 1 (*.f64 (fma.f64 2 x 1) -1))))
-2
(/.f64 (+.f64 (pow.f64 (fma.f64 2 x 1) 2) -1) (+.f64 (+.f64 x x) 2))
-2
(/.f64 (+.f64 (pow.f64 (fma.f64 2 x 1) 2) -1) (-.f64 (fma.f64 2 x 1) -1))
-2
(/.f64 (cbrt.f64 (+.f64 (pow.f64 (fma.f64 2 x 1) 3) -1)) (cbrt.f64 (+.f64 (pow.f64 (fma.f64 2 x 1) 2) (+.f64 (+.f64 x x) 2))))
-2
(/.f64 (cbrt.f64 (+.f64 (pow.f64 (fma.f64 2 x 1) 2) -1)) (cbrt.f64 (+.f64 (+.f64 x x) 2)))
-2
(/.f64 (cbrt.f64 (*.f64 2 (pow.f64 x 3))) (cbrt.f64 (fma.f64 x x 0)))
(/.f64 -2 (cbrt.f64 (fma.f64 x x -2)))
(/.f64 (*.f64 (+.f64 (pow.f64 (fma.f64 2 x 1) 3) -1) (+.f64 (pow.f64 (fma.f64 2 x 1) 3) -1)) (*.f64 (+.f64 (pow.f64 (fma.f64 2 x 1) 2) (+.f64 (+.f64 x x) 2)) (+.f64 (pow.f64 (fma.f64 2 x 1) 2) (+.f64 (+.f64 x x) 2))))
-2
(/.f64 (*.f64 (+.f64 (pow.f64 (fma.f64 2 x 1) 2) -1) (+.f64 (pow.f64 (fma.f64 2 x 1) 2) -1)) (*.f64 (+.f64 (+.f64 x x) 2) (+.f64 (+.f64 x x) 2)))
-2
(/.f64 (*.f64 (*.f64 2 (pow.f64 x 3)) (*.f64 2 (pow.f64 x 3))) (*.f64 (fma.f64 x x 0) (fma.f64 x x 0)))
-2
(/.f64 (sqrt.f64 (+.f64 (pow.f64 (fma.f64 2 x 1) 3) -1)) (sqrt.f64 (+.f64 (pow.f64 (fma.f64 2 x 1) 2) (+.f64 (+.f64 x x) 2))))
-2
(/.f64 (sqrt.f64 (+.f64 (pow.f64 (fma.f64 2 x 1) 2) -1)) (sqrt.f64 (+.f64 (+.f64 x x) 2)))
-2
(/.f64 (sqrt.f64 (*.f64 2 (pow.f64 x 3))) (sqrt.f64 (fma.f64 x x 0)))
(/.f64 -2 (sqrt.f64 (fma.f64 x x -2)))
(/.f64 (sqrt.f64 0) (sqrt.f64 0))
-2
(/.f64 (pow.f64 (*.f64 2 (pow.f64 x 3)) 3) (pow.f64 (fma.f64 x x 0) 3))
(/.f64 -2 (pow.f64 (fma.f64 x x -2) 3))
(/.f64 (*.f64 (*.f64 2 (pow.f64 x 3)) 0) (*.f64 (fma.f64 x x 0) 0))
-2
(/.f64 (*.f64 0 (*.f64 2 (pow.f64 x 3))) (*.f64 0 (fma.f64 x x 0)))
-2
(/.f64 (*.f64 (+.f64 (pow.f64 (fma.f64 2 x 1) 3) -1) (+.f64 (pow.f64 (fma.f64 2 x 1) 2) -1)) (*.f64 (+.f64 (pow.f64 (fma.f64 2 x 1) 2) (+.f64 (+.f64 x x) 2)) (+.f64 (+.f64 x x) 2)))
-2
(/.f64 (*.f64 (+.f64 (pow.f64 (fma.f64 2 x 1) 2) -1) (+.f64 (pow.f64 (fma.f64 2 x 1) 3) -1)) (*.f64 (+.f64 (+.f64 x x) 2) (+.f64 (pow.f64 (fma.f64 2 x 1) 2) (+.f64 (+.f64 x x) 2))))
-2
(/.f64 (neg.f64 (*.f64 2 (pow.f64 x 3))) (neg.f64 (fma.f64 x x 0)))
-2
(/.f64 (neg.f64 (+.f64 (pow.f64 (fma.f64 2 x 1) 3) -1)) (neg.f64 (+.f64 (pow.f64 (fma.f64 2 x 1) 2) (+.f64 (+.f64 x x) 2))))
-2
(/.f64 (neg.f64 (+.f64 (pow.f64 (fma.f64 2 x 1) 2) -1)) (neg.f64 (+.f64 (+.f64 x x) 2)))
-2
(/.f64 (+.f64 1 (pow.f64 (fma.f64 2 x -1) 3)) (+.f64 1 (-.f64 (*.f64 (fma.f64 2 x -1) (fma.f64 2 x -1)) (fma.f64 2 x -1))))
-2
(/.f64 (-.f64 1 (*.f64 (fma.f64 2 x -1) (fma.f64 2 x -1))) (-.f64 1 (fma.f64 2 x -1)))
-2
(/.f64 (*.f64 (+.f64 x x) (*.f64 2 (pow.f64 x 3))) (fma.f64 x x 0))
-2
(/.f64 (*.f64 (+.f64 x x) (+.f64 (pow.f64 (fma.f64 2 x 1) 3) -1)) (+.f64 (pow.f64 (fma.f64 2 x 1) 2) (+.f64 (+.f64 x x) 2)))
-2
(/.f64 (*.f64 (+.f64 x x) (+.f64 (pow.f64 (fma.f64 2 x 1) 2) -1)) (+.f64 (+.f64 x x) 2))
-2
(/.f64 (*.f64 (*.f64 2 (pow.f64 x 3)) (+.f64 x x)) (fma.f64 x x 0))
-2
(/.f64 (*.f64 0 (+.f64 x x)) 0)
-2
(/.f64 (*.f64 (+.f64 (pow.f64 (fma.f64 2 x 1) 3) -1) (+.f64 x x)) (+.f64 (pow.f64 (fma.f64 2 x 1) 2) (+.f64 (+.f64 x x) 2)))
-2
(/.f64 (*.f64 (+.f64 (pow.f64 (fma.f64 2 x 1) 2) -1) (+.f64 x x)) (+.f64 (+.f64 x x) 2))
-2
(pow.f64 (+.f64 x x) 1)
-2
(pow.f64 (+.f64 x x) 3)
-2
(pow.f64 (+.f64 x x) 2)
-2
(pow.f64 (+.f64 x x) 1/2)
-2
(pow.f64 (+.f64 x x) 1/3)
-2
(sqrt.f64 (+.f64 x x))
-2
(fabs.f64 (+.f64 x x))
-2
(log.f64 (pow.f64 (exp.f64 2) x))
-2
(cbrt.f64 (+.f64 x x))
-2
(expm1.f64 (log1p.f64 (+.f64 x x)))
-2
(hypot.f64 (sqrt.f64 x) (sqrt.f64 x))
(exp.f64 (log.f64 (+.f64 x x)))
-2
(log1p.f64 (expm1.f64 (+.f64 x x)))
-2
(fma.f64 1 x x)
(+.f64 x -2)
(fma.f64 1 (fma.f64 2 x 1) -1)
-2
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 2 x 1)) 2) (cbrt.f64 (fma.f64 2 x 1)) -1)
-2
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) x)
(fma.f64 (pow.f64 (cbrt.f64 x) -2) (cbrt.f64 x) x)
(fma.f64 (sqrt.f64 (fma.f64 2 x 1)) (sqrt.f64 (fma.f64 2 x 1)) -1)
-2
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) x)

localize3.0ms (0.1%)

Compiler

Compiled 6 to 4 computations (33.3% saved)

localize5.0ms (0.2%)

Local Accuracy

Found 1 expressions with local accuracy:

NewAccuracyProgram
✓100.0%
(*.f64 4 (*.f64 x x))
Compiler

Compiled 11 to 5 computations (54.5% saved)

series1.0ms (0%)

Counts
1 → 12
Calls

3 calls:

TimeVariablePointExpression
1.0ms
x
@0
(*.f64 4 (*.f64 x x))
0.0ms
x
@inf
(*.f64 4 (*.f64 x x))
0.0ms
x
@-inf
(*.f64 4 (*.f64 x x))

rewrite54.0ms (2.1%)

Algorithm
1×batch-egg-rewrite
Rules
1038×pow1
1000×add-sqr-sqrt
958×add-exp-log
958×log1p-expm1-u
958×expm1-log1p-u
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0613
112213
2136413
Stop Event
1×node limit
Counts
1 → 11
Calls
Call 1
Inputs
(*.f64 4 (*.f64 x x))
Outputs
(((-.f64 (+.f64 1 (*.f64 4 (*.f64 x x))) 1) #(struct:egraph-query ((*.f64 4 (*.f64 x x))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((pow.f64 (*.f64 4 (*.f64 x x)) 1) #(struct:egraph-query ((*.f64 4 (*.f64 x x))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((pow.f64 (cbrt.f64 (*.f64 4 (*.f64 x x))) 3) #(struct:egraph-query ((*.f64 4 (*.f64 x x))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((pow.f64 (pow.f64 (*.f64 4 (*.f64 x x)) 3) 1/3) #(struct:egraph-query ((*.f64 4 (*.f64 x x))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((pow.f64 (*.f64 x 2) 2) #(struct:egraph-query ((*.f64 4 (*.f64 x x))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((sqrt.f64 (*.f64 16 (pow.f64 x 4))) #(struct:egraph-query ((*.f64 4 (*.f64 x x))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((log.f64 (pow.f64 (exp.f64 4) (*.f64 x x))) #(struct:egraph-query ((*.f64 4 (*.f64 x x))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((cbrt.f64 (pow.f64 (*.f64 4 (*.f64 x x)) 3)) #(struct:egraph-query ((*.f64 4 (*.f64 x x))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((expm1.f64 (log1p.f64 (*.f64 4 (*.f64 x x)))) #(struct:egraph-query ((*.f64 4 (*.f64 x x))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((exp.f64 (log.f64 (*.f64 4 (*.f64 x x)))) #(struct:egraph-query ((*.f64 4 (*.f64 x x))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((log1p.f64 (expm1.f64 (*.f64 4 (*.f64 x x)))) #(struct:egraph-query ((*.f64 4 (*.f64 x x))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)))

simplify62.0ms (2.4%)

Algorithm
1×egg-herbie
Rules
2334×log-prod
1166×distribute-rgt-in
1148×distribute-lft-in
866×associate-*r*
740×associate-*l*
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
036299
189299
2316299
32368299
47751299
Stop Event
1×node limit
Counts
23 → 14
Calls
Call 1
Inputs
(*.f64 4 (pow.f64 x 2))
(*.f64 4 (pow.f64 x 2))
(*.f64 4 (pow.f64 x 2))
(*.f64 4 (pow.f64 x 2))
(*.f64 4 (pow.f64 x 2))
(*.f64 4 (pow.f64 x 2))
(*.f64 4 (pow.f64 x 2))
(*.f64 4 (pow.f64 x 2))
(*.f64 4 (pow.f64 x 2))
(*.f64 4 (pow.f64 x 2))
(*.f64 4 (pow.f64 x 2))
(*.f64 4 (pow.f64 x 2))
(-.f64 (+.f64 1 (*.f64 4 (*.f64 x x))) 1)
(pow.f64 (*.f64 4 (*.f64 x x)) 1)
(pow.f64 (cbrt.f64 (*.f64 4 (*.f64 x x))) 3)
(pow.f64 (pow.f64 (*.f64 4 (*.f64 x x)) 3) 1/3)
(pow.f64 (*.f64 x 2) 2)
(sqrt.f64 (*.f64 16 (pow.f64 x 4)))
(log.f64 (pow.f64 (exp.f64 4) (*.f64 x x)))
(cbrt.f64 (pow.f64 (*.f64 4 (*.f64 x x)) 3))
(expm1.f64 (log1p.f64 (*.f64 4 (*.f64 x x))))
(exp.f64 (log.f64 (*.f64 4 (*.f64 x x))))
(log1p.f64 (expm1.f64 (*.f64 4 (*.f64 x x))))
Outputs
(*.f64 4 (pow.f64 x 2))
(*.f64 4 (*.f64 x x))
(*.f64 x (*.f64 4 x))
(*.f64 4 (pow.f64 x 2))
(*.f64 4 (*.f64 x x))
(*.f64 x (*.f64 4 x))
(*.f64 4 (pow.f64 x 2))
(*.f64 4 (*.f64 x x))
(*.f64 x (*.f64 4 x))
(*.f64 4 (pow.f64 x 2))
(*.f64 4 (*.f64 x x))
(*.f64 x (*.f64 4 x))
(*.f64 4 (pow.f64 x 2))
(*.f64 4 (*.f64 x x))
(*.f64 x (*.f64 4 x))
(*.f64 4 (pow.f64 x 2))
(*.f64 4 (*.f64 x x))
(*.f64 x (*.f64 4 x))
(*.f64 4 (pow.f64 x 2))
(*.f64 4 (*.f64 x x))
(*.f64 x (*.f64 4 x))
(*.f64 4 (pow.f64 x 2))
(*.f64 4 (*.f64 x x))
(*.f64 x (*.f64 4 x))
(*.f64 4 (pow.f64 x 2))
(*.f64 4 (*.f64 x x))
(*.f64 x (*.f64 4 x))
(*.f64 4 (pow.f64 x 2))
(*.f64 4 (*.f64 x x))
(*.f64 x (*.f64 4 x))
(*.f64 4 (pow.f64 x 2))
(*.f64 4 (*.f64 x x))
(*.f64 x (*.f64 4 x))
(*.f64 4 (pow.f64 x 2))
(*.f64 4 (*.f64 x x))
(*.f64 x (*.f64 4 x))
(-.f64 (+.f64 1 (*.f64 4 (*.f64 x x))) 1)
(*.f64 4 (*.f64 x x))
(*.f64 x (*.f64 4 x))
(pow.f64 (*.f64 4 (*.f64 x x)) 1)
(*.f64 4 (*.f64 x x))
(*.f64 x (*.f64 4 x))
(pow.f64 (cbrt.f64 (*.f64 4 (*.f64 x x))) 3)
(*.f64 4 (*.f64 x x))
(*.f64 x (*.f64 4 x))
(pow.f64 (pow.f64 (*.f64 4 (*.f64 x x)) 3) 1/3)
(*.f64 4 (*.f64 x x))
(*.f64 x (*.f64 4 x))
(pow.f64 (*.f64 x 2) 2)
(*.f64 4 (*.f64 x x))
(*.f64 x (*.f64 4 x))
(sqrt.f64 (*.f64 16 (pow.f64 x 4)))
(*.f64 4 (*.f64 x x))
(*.f64 x (*.f64 4 x))
(log.f64 (pow.f64 (exp.f64 4) (*.f64 x x)))
(*.f64 4 (*.f64 x x))
(*.f64 x (*.f64 4 x))
(cbrt.f64 (pow.f64 (*.f64 4 (*.f64 x x)) 3))
(*.f64 4 (*.f64 x x))
(*.f64 x (*.f64 4 x))
(expm1.f64 (log1p.f64 (*.f64 4 (*.f64 x x))))
(*.f64 4 (*.f64 x x))
(*.f64 x (*.f64 4 x))
(exp.f64 (log.f64 (*.f64 4 (*.f64 x x))))
(*.f64 4 (*.f64 x x))
(*.f64 x (*.f64 4 x))
(log1p.f64 (expm1.f64 (*.f64 4 (*.f64 x x))))
(*.f64 4 (*.f64 x x))
(*.f64 x (*.f64 4 x))

localize6.0ms (0.2%)

Compiler

Compiled 11 to 5 computations (54.5% saved)

localize17.0ms (0.7%)

Compiler

Compiled 12 to 3 computations (75% saved)

eval32.0ms (1.2%)

Compiler

Compiled 1251 to 832 computations (33.5% saved)

prune23.0ms (0.9%)

Pruning

13 alts after pruning (4 fresh and 9 done)

PrunedKeptTotal
New1143117
Fresh011
Picked101
Done1910
Total11613129
Accurracy
100.0%
Counts
129 → 13
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓100.0%
(hypot.f64 x x)
✓2.8%
(/.f64 1 (+.f64 x x))
✓8.3%
(-.f64 (+.f64 1 (+.f64 x x)) 1)
4.7%
(-.f64 (+.f64 1 (*.f64 4 (*.f64 x x))) 1)
✓12.3%
(+.f64 x x)
✓6.6%
(+.f64 -1 x)
✓56.4%
(*.f64 (sqrt.f64 2) x)
5.3%
(*.f64 x (*.f64 4 x))
✓45.2%
(*.f64 x (neg.f64 (sqrt.f64 2)))
✓5.3%
(*.f64 x x)
5.3%
(*.f64 2 (*.f64 x (+.f64 x x)))
✓54.4%
(sqrt.f64 (*.f64 x (+.f64 x x)))
1.7%
-1
Compiler

Compiled 74 to 51 computations (31.1% saved)

regimes31.0ms (1.2%)

Counts
17 → 1
Calls
Call 1
Inputs
-1
(*.f64 x x)
(+.f64 -1 x)
(+.f64 x x)
(*.f64 4 (*.f64 x x))
(*.f64 x (*.f64 4 x))
(*.f64 (+.f64 x x) x)
(/.f64 1 (+.f64 x x))
(*.f64 2 (*.f64 x (+.f64 x x)))
(*.f64 (+.f64 x x) (+.f64 x x))
(-.f64 (+.f64 1 (+.f64 x x)) 1)
(-.f64 (+.f64 1 (*.f64 4 (*.f64 x x))) 1)
(hypot.f64 x x)
(*.f64 (sqrt.f64 2) x)
(*.f64 x (neg.f64 (sqrt.f64 2)))
(sqrt.f64 (*.f64 x (+.f64 x x)))
(sqrt.f64 (+.f64 (*.f64 x x) (*.f64 x x)))
Outputs
(hypot.f64 x x)
Calls

4 calls:

8.0ms
x
7.0ms
(sqrt.f64 (+.f64 (*.f64 x x) (*.f64 x x)))
6.0ms
(*.f64 x x)
5.0ms
(+.f64 (*.f64 x x) (*.f64 x x))
Results
AccuracySegmentsBranch
100.0%1x
100.0%1(sqrt.f64 (+.f64 (*.f64 x x) (*.f64 x x)))
100.0%1(+.f64 (*.f64 x x) (*.f64 x x))
100.0%1(*.f64 x x)
Compiler

Compiled 110 to 49 computations (55.5% saved)

regimes16.0ms (0.6%)

Counts
12 → 1
Calls
Call 1
Inputs
-1
(*.f64 x x)
(+.f64 -1 x)
(+.f64 x x)
(*.f64 4 (*.f64 x x))
(*.f64 x (*.f64 4 x))
(*.f64 (+.f64 x x) x)
(/.f64 1 (+.f64 x x))
(*.f64 2 (*.f64 x (+.f64 x x)))
(*.f64 (+.f64 x x) (+.f64 x x))
(-.f64 (+.f64 1 (+.f64 x x)) 1)
(-.f64 (+.f64 1 (*.f64 4 (*.f64 x x))) 1)
Outputs
(+.f64 x x)
Calls

2 calls:

7.0ms
(*.f64 x x)
6.0ms
x
Results
AccuracySegmentsBranch
12.3%1x
12.3%1(*.f64 x x)
Compiler

Compiled 67 to 31 computations (53.7% saved)

regimes13.0ms (0.5%)

Counts
3 → 2
Calls
Call 1
Inputs
-1
(*.f64 x x)
(+.f64 -1 x)
Outputs
(*.f64 x x)
(+.f64 -1 x)
Calls

2 calls:

6.0ms
(*.f64 x x)
6.0ms
x
Results
AccuracySegmentsBranch
9.7%2x
9.2%2(*.f64 x x)
Compiler

Compiled 14 to 8 computations (42.9% saved)

bsearch18.0ms (0.7%)

Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
18.0ms
1.5613615460755452
5.058313516359717e+20
Results
16.0ms176×body256valid
Compiler

Compiled 123 to 84 computations (31.7% saved)

regimes6.0ms (0.2%)

Accuracy

Total -2.5b remaining (-4.1%)

Threshold costs -2.5b (-4.1%)

Counts
2 → 1
Calls
Call 1
Inputs
-1
(*.f64 x x)
Outputs
(*.f64 x x)
Calls

2 calls:

3.0ms
x
2.0ms
(*.f64 x x)
Results
AccuracySegmentsBranch
5.3%1x
5.3%1(*.f64 x x)
Compiler

Compiled 11 to 6 computations (45.5% saved)

simplify7.0ms (0.3%)

Algorithm
1×egg-herbie
Rules
2×+-commutative
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01445
11545
Stop Event
1×fuel
1×saturated
Calls
Call 1
Inputs
(hypot.f64 x x)
(+.f64 x x)
(if (<=.f64 x 3) (*.f64 x x) (+.f64 -1 x))
(*.f64 x x)
-1
Outputs
(hypot.f64 x x)
(+.f64 x x)
(if (<=.f64 x 3) (*.f64 x x) (+.f64 -1 x))
(if (<=.f64 x 3) (*.f64 x x) (+.f64 x -1))
(*.f64 x x)
-1
Compiler

Compiled 25 to 15 computations (40% saved)

soundness12.0ms (0.5%)

Rules
4×*-commutative
4×associate-*r*
4×count-2
2×fma-def
2×hypot-def
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
077
1147
2177
3207
Stop Event
1×saturated
Compiler

Compiled 12 to 5 computations (58.3% saved)

end27.0ms (1.1%)

Compiler

Compiled 21 to 10 computations (52.4% saved)

Profiling

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