Linear.Projection:perspective from linear-1.19.1.3, A

Time bar (total: 3.0s)

analyze13.0ms (0.4%)

Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%99.9%0.1%0%0%0%0
0%0%99.9%0.1%0%0%0%1
0%0%99.9%0.1%0%0%0%2
50%50%50%0.1%0%0%0%3
50%50%50%0.1%0%0%0%4
75%74.9%25%0.1%0%0%0%5
75%74.9%25%0.1%0%0%0%6
87.5%87.4%12.5%0.1%0%0%0%7
87.5%87.4%12.5%0.1%0%0%0%8
93.8%93.7%6.2%0.1%0%0%0%9
93.8%93.7%6.2%0.1%0%0%0%10
96.9%96.8%3.1%0.1%0%0%0%11
96.9%96.8%3.1%0.1%0%0%0%12
Compiler

Compiled 10 to 6 computations (40% saved)

Precisions
Click to see histograms. Total time spent on operations: 4.0ms
Operation ival-add, time spent: 2.0ms, 47.0% of total-time
Operation ival-sub, time spent: 1.0ms, 24.0% of total-time
Operation ival-div, time spent: 1.0ms, 24.0% of total-time
Operation const, time spent: 0.0ms, 0.0% of total-time

sample1.3s (44.5%)

Results
1.3s8255×256valid
0.0ms256valid
Precisions
Click to see histograms. Total time spent on operations: 299.0ms
Operation ival-div, time spent: 169.0ms, 57.0% of total-time
Operation ival-add, time spent: 67.0ms, 22.0% of total-time
Operation ival-sub, time spent: 53.0ms, 18.0% of total-time
Operation const, time spent: 10.0ms, 3.0% of total-time
Bogosity

preprocess166.0ms (5.6%)

Algorithm
egg-herbie
Rules
1320×fma-define
952×fma-neg
526×times-frac
248×div-sub
240×associate-*l*
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
00-0-x
00-0-(/.f64 (+.f64 x y) (-.f64 x y))
00-0-(+.f64 x y)
00-0-(-.f64 x y)
00-0-y
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
024241
151225
2111217
3286217
4755217
51809217
62653217
72657217
82725217
92846217
Stop Event
saturated
Calls
Call 1
Inputs
(/.f64 (+.f64 x y) (-.f64 x y))
(/.f64 (+.f64 x y) (-.f64 x y))
(/.f64 (+.f64 (neg.f64 x) y) (-.f64 (neg.f64 x) y))
(/.f64 (+.f64 x (neg.f64 y)) (-.f64 x (neg.f64 y)))
(neg.f64 (/.f64 (+.f64 (neg.f64 x) y) (-.f64 (neg.f64 x) y)))
(neg.f64 (/.f64 (+.f64 x (neg.f64 y)) (-.f64 x (neg.f64 y))))
(/.f64 (+.f64 y x) (-.f64 y x))
Outputs
(/.f64 (+.f64 x y) (-.f64 x y))
(/.f64 (+.f64 x y) (-.f64 x y))
(/.f64 (+.f64 (neg.f64 x) y) (-.f64 (neg.f64 x) y))
(/.f64 (-.f64 y x) (-.f64 (neg.f64 x) y))
(/.f64 (-.f64 x y) (+.f64 x y))
(/.f64 (+.f64 x (neg.f64 y)) (-.f64 x (neg.f64 y)))
(/.f64 (-.f64 y x) (-.f64 (neg.f64 x) y))
(/.f64 (-.f64 x y) (+.f64 x y))
(neg.f64 (/.f64 (+.f64 (neg.f64 x) y) (-.f64 (neg.f64 x) y)))
(/.f64 (-.f64 y x) (neg.f64 (-.f64 (neg.f64 x) y)))
(/.f64 (-.f64 y x) (+.f64 x y))
(neg.f64 (/.f64 (+.f64 x (neg.f64 y)) (-.f64 x (neg.f64 y))))
(/.f64 (-.f64 y x) (neg.f64 (-.f64 (neg.f64 x) y)))
(/.f64 (-.f64 y x) (+.f64 x y))
(/.f64 (+.f64 y x) (-.f64 y x))
(/.f64 (+.f64 x y) (-.f64 y x))
Compiler

Compiled 45 to 17 computations (62.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 14.0ms
Operation ival-add, time spent: 6.0ms, 44.0% of total-time
Operation ival-div, time spent: 4.0ms, 30.0% of total-time
Operation ival-sub, time spent: 3.0ms, 22.0% of total-time
Operation const, time spent: 1.0ms, 7.0% of total-time

eval0.0ms (0%)

Compiler

Compiled 2 to 2 computations (0% saved)

prune1.0ms (0%)

Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(/.f64 (+.f64 x y) (-.f64 x y))
Compiler

Compiled 9 to 5 computations (44.4% saved)

localize32.0ms (1.1%)

Localize:

Found 1 expressions with local error:

NewAccuracyProgram
100.0%
(/.f64 (+.f64 x y) (-.f64 x y))
Compiler

Compiled 18 to 6 computations (66.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 8.0ms
Operation ival-add, time spent: 4.0ms, 49.0% of total-time
Operation ival-sub, time spent: 2.0ms, 25.0% of total-time
Operation ival-div, time spent: 2.0ms, 25.0% of total-time
Operation const, time spent: 0.0ms, 0.0% of total-time

series5.0ms (0.2%)

Counts
1 → 24
Calls
Call 1
Inputs
#<alt (/.f64 (+.f64 x y) (-.f64 x y))>
Outputs
#<alt #s(literal -1 binary64)>
#<alt (-.f64 (*.f64 #s(literal -2 binary64) (/.f64 x y)) #s(literal 1 binary64))>
#<alt (-.f64 (*.f64 x (-.f64 (*.f64 #s(literal -2 binary64) (/.f64 x (pow.f64 y #s(literal 2 binary64)))) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) y)))) #s(literal 1 binary64))>
#<alt (-.f64 (*.f64 x (-.f64 (*.f64 x (-.f64 (*.f64 #s(literal -2 binary64) (/.f64 x (pow.f64 y #s(literal 3 binary64)))) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64)))))) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) y)))) #s(literal 1 binary64))>
#<alt #s(literal 1 binary64)>
#<alt (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 y x)) (*.f64 #s(literal -1 binary64) (/.f64 y x)))>
#<alt (-.f64 (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 y x) (/.f64 (*.f64 y (-.f64 y (*.f64 #s(literal -1 binary64) y))) (pow.f64 x #s(literal 2 binary64))))) (*.f64 #s(literal -1 binary64) (/.f64 y x)))>
#<alt (-.f64 (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 y x) (/.f64 (*.f64 (pow.f64 y #s(literal 2 binary64)) (-.f64 y (*.f64 #s(literal -1 binary64) y))) (pow.f64 x #s(literal 3 binary64))))) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 y x)) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 y (-.f64 y (*.f64 #s(literal -1 binary64) y))) (pow.f64 x #s(literal 2 binary64))))))>
#<alt #s(literal 1 binary64)>
#<alt (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 y x)) (*.f64 #s(literal -1 binary64) (/.f64 y x)))>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (-.f64 y (*.f64 #s(literal -1 binary64) y))) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 y (-.f64 y (*.f64 #s(literal -1 binary64) y))) x))) x)))>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (-.f64 y (*.f64 #s(literal -1 binary64) y))) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 y (-.f64 y (*.f64 #s(literal -1 binary64) y))) (/.f64 (*.f64 (pow.f64 y #s(literal 2 binary64)) (-.f64 y (*.f64 #s(literal -1 binary64) y))) x)) x))) x)))>
#<alt #s(literal 1 binary64)>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 y x)))>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal 2 binary64) (/.f64 y (pow.f64 x #s(literal 2 binary64)))) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) x)))))>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 y (+.f64 (*.f64 y (+.f64 (*.f64 #s(literal 2 binary64) (/.f64 y (pow.f64 x #s(literal 3 binary64)))) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) x)))))>
#<alt #s(literal -1 binary64)>
#<alt (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x y)) (+.f64 #s(literal 1 binary64) (/.f64 x y)))>
#<alt (-.f64 (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x y)) (/.f64 (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) x) x)) (pow.f64 y #s(literal 2 binary64)))) (+.f64 #s(literal 1 binary64) (/.f64 x y)))>
#<alt (-.f64 (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x y)) (/.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1 binary64) x) x)) (pow.f64 y #s(literal 3 binary64)))) (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) x) x)) (pow.f64 y #s(literal 2 binary64)))) (/.f64 x y))))>
#<alt #s(literal -1 binary64)>
#<alt (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 x (*.f64 #s(literal -1 binary64) x)) y)) #s(literal 1 binary64))>
#<alt (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (+.f64 x (/.f64 (*.f64 x (-.f64 x (*.f64 #s(literal -1 binary64) x))) y)) (*.f64 #s(literal -1 binary64) x)) y)) #s(literal 1 binary64))>
#<alt (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (+.f64 x (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 x (*.f64 #s(literal -1 binary64) x))) y)) (*.f64 x (-.f64 x (*.f64 #s(literal -1 binary64) x)))) y))) (*.f64 #s(literal -1 binary64) x)) y)) #s(literal 1 binary64))>
Calls

6 calls:

TimeVariablePointExpression
1.0ms
x
@inf
(/ (+ x y) (- x y))
1.0ms
y
@inf
(/ (+ x y) (- x y))
1.0ms
y
@-inf
(/ (+ x y) (- x y))
1.0ms
x
@-inf
(/ (+ x y) (- x y))
1.0ms
x
@0
(/ (+ x y) (- x y))

rewrite204.0ms (6.9%)

Algorithm
batch-egg-rewrite
Rules
1104×prod-diff
734×log1p-expm1-u
734×expm1-log1p-u
676×log-prod
452×fma-define
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01031
112731
2193231
Stop Event
node limit
Counts
1 → 47
Calls
Call 1
Inputs
(/.f64 (+.f64 x y) (-.f64 x y))
Outputs
(+.f64 #s(literal 0 binary64) (/.f64 (+.f64 x y) (-.f64 x y)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (/.f64 (+.f64 x y) (-.f64 x y)))) (cbrt.f64 (exp.f64 (/.f64 (+.f64 x y) (-.f64 x y)))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (+.f64 x y) (-.f64 x y))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (+.f64 x y) (-.f64 x y))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (+.f64 x y) (-.f64 x y))))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (+.f64 x y) (-.f64 x y)))) #s(literal 1 binary64))
(*.f64 (+.f64 x y) (/.f64 #s(literal 1 binary64) (-.f64 x y)))
(*.f64 (/.f64 (+.f64 x y) (-.f64 x y)) #s(literal 1 binary64))
(*.f64 (/.f64 (+.f64 x y) (-.f64 x y)) (log.f64 (exp.f64 #s(literal 1 binary64))))
(*.f64 #s(literal 1 binary64) (/.f64 (+.f64 x y) (-.f64 x y)))
(*.f64 (cbrt.f64 (/.f64 (+.f64 x y) (-.f64 x y))) (pow.f64 (cbrt.f64 (/.f64 (+.f64 x y) (-.f64 x y))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 x y) (-.f64 x y))) #s(literal 2 binary64)) (cbrt.f64 (/.f64 (+.f64 x y) (-.f64 x y))))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 x y)) #s(literal 2 binary64)) (/.f64 (cbrt.f64 (+.f64 x y)) (-.f64 x y)))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 x y)) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (+.f64 x y)) (/.f64 #s(literal 1 binary64) (-.f64 x y))))
(*.f64 (sqrt.f64 (/.f64 (+.f64 x y) (-.f64 x y))) (sqrt.f64 (/.f64 (+.f64 x y) (-.f64 x y))))
(*.f64 (sqrt.f64 (+.f64 x y)) (/.f64 (sqrt.f64 (+.f64 x y)) (-.f64 x y)))
(*.f64 (sqrt.f64 (+.f64 x y)) (*.f64 (sqrt.f64 (+.f64 x y)) (/.f64 #s(literal 1 binary64) (-.f64 x y))))
(*.f64 (neg.f64 (+.f64 x y)) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 x y))))
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 x y)) (+.f64 x y))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 (-.f64 x y)) #s(literal 2 binary64))) (/.f64 (+.f64 x y) (cbrt.f64 (-.f64 x y))))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 x y))) (/.f64 (+.f64 x y) (sqrt.f64 (-.f64 x y))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 x y)) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (cbrt.f64 (+.f64 x y)) (-.f64 x y)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 x y)) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 (-.f64 x y)) #s(literal 2 binary64))) (cbrt.f64 (/.f64 (+.f64 x y) (-.f64 x y))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 x y)) #s(literal 2 binary64)) (sqrt.f64 (-.f64 x y))) (/.f64 (cbrt.f64 (+.f64 x y)) (sqrt.f64 (-.f64 x y))))
(*.f64 (/.f64 (sqrt.f64 (+.f64 x y)) #s(literal 1 binary64)) (/.f64 (sqrt.f64 (+.f64 x y)) (-.f64 x y)))
(*.f64 (/.f64 (sqrt.f64 (+.f64 x y)) (pow.f64 (cbrt.f64 (-.f64 x y)) #s(literal 2 binary64))) (/.f64 (sqrt.f64 (+.f64 x y)) (cbrt.f64 (-.f64 x y))))
(*.f64 (/.f64 (+.f64 x y) (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))) (+.f64 x y))
(*.f64 (/.f64 (+.f64 x y) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (fma.f64 y (+.f64 x y) (pow.f64 x #s(literal 2 binary64))))
(pow.f64 (/.f64 (+.f64 x y) (-.f64 x y)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (/.f64 (+.f64 x y) (-.f64 x y))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 (+.f64 x y) (-.f64 x y)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (/.f64 (+.f64 x y) (-.f64 x y))) #s(literal 2 binary64))
(pow.f64 (/.f64 (-.f64 x y) (+.f64 x y)) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 (-.f64 x y) (+.f64 x y)) #s(literal 1 binary64)) #s(literal -1 binary64))
(neg.f64 (/.f64 (+.f64 x y) (neg.f64 (-.f64 x y))))
(neg.f64 (/.f64 (neg.f64 (+.f64 x y)) (-.f64 x y)))
(sqrt.f64 (pow.f64 (/.f64 (+.f64 x y) (-.f64 x y)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (/.f64 (+.f64 x y) (-.f64 x y))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 (+.f64 x y) (-.f64 x y)))))
(cbrt.f64 (pow.f64 (/.f64 (+.f64 x y) (-.f64 x y)) #s(literal 3 binary64)))
(cbrt.f64 (/.f64 (pow.f64 (+.f64 x y) #s(literal 3 binary64)) (pow.f64 (-.f64 x y) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (/.f64 (+.f64 x y) (-.f64 x y))))
(log1p.f64 (expm1.f64 (/.f64 (+.f64 x y) (-.f64 x y))))
(exp.f64 (log.f64 (/.f64 (+.f64 x y) (-.f64 x y))))
(exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 x y) (-.f64 x y))) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (/.f64 (+.f64 x y) (-.f64 x y)))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 3 binary64) (log.f64 (/.f64 (+.f64 x y) (-.f64 x y)))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 (+.f64 x y) (-.f64 x y)))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (/.f64 (-.f64 x y) (+.f64 x y))) #s(literal -1 binary64)))

simplify65.0ms (2.2%)

Algorithm
egg-herbie
Rules
1590×times-frac
1354×fma-define
644×associate-/r*
510×distribute-lft-in
496×distribute-rgt-in
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
02433242
16522888
219792709
Stop Event
node limit
Counts
71 → 104
Calls
Call 1
Inputs
#s(literal -1 binary64)
(-.f64 (*.f64 #s(literal -2 binary64) (/.f64 x y)) #s(literal 1 binary64))
(-.f64 (*.f64 x (-.f64 (*.f64 #s(literal -2 binary64) (/.f64 x (pow.f64 y #s(literal 2 binary64)))) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) y)))) #s(literal 1 binary64))
(-.f64 (*.f64 x (-.f64 (*.f64 x (-.f64 (*.f64 #s(literal -2 binary64) (/.f64 x (pow.f64 y #s(literal 3 binary64)))) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64)))))) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) y)))) #s(literal 1 binary64))
#s(literal 1 binary64)
(-.f64 (+.f64 #s(literal 1 binary64) (/.f64 y x)) (*.f64 #s(literal -1 binary64) (/.f64 y x)))
(-.f64 (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 y x) (/.f64 (*.f64 y (-.f64 y (*.f64 #s(literal -1 binary64) y))) (pow.f64 x #s(literal 2 binary64))))) (*.f64 #s(literal -1 binary64) (/.f64 y x)))
(-.f64 (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 y x) (/.f64 (*.f64 (pow.f64 y #s(literal 2 binary64)) (-.f64 y (*.f64 #s(literal -1 binary64) y))) (pow.f64 x #s(literal 3 binary64))))) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 y x)) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 y (-.f64 y (*.f64 #s(literal -1 binary64) y))) (pow.f64 x #s(literal 2 binary64))))))
#s(literal 1 binary64)
(-.f64 (+.f64 #s(literal 1 binary64) (/.f64 y x)) (*.f64 #s(literal -1 binary64) (/.f64 y x)))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (-.f64 y (*.f64 #s(literal -1 binary64) y))) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 y (-.f64 y (*.f64 #s(literal -1 binary64) y))) x))) x)))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (-.f64 y (*.f64 #s(literal -1 binary64) y))) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 y (-.f64 y (*.f64 #s(literal -1 binary64) y))) (/.f64 (*.f64 (pow.f64 y #s(literal 2 binary64)) (-.f64 y (*.f64 #s(literal -1 binary64) y))) x)) x))) x)))
#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 y x)))
(+.f64 #s(literal 1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal 2 binary64) (/.f64 y (pow.f64 x #s(literal 2 binary64)))) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) x)))))
(+.f64 #s(literal 1 binary64) (*.f64 y (+.f64 (*.f64 y (+.f64 (*.f64 #s(literal 2 binary64) (/.f64 y (pow.f64 x #s(literal 3 binary64)))) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) x)))))
#s(literal -1 binary64)
(-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x y)) (+.f64 #s(literal 1 binary64) (/.f64 x y)))
(-.f64 (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x y)) (/.f64 (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) x) x)) (pow.f64 y #s(literal 2 binary64)))) (+.f64 #s(literal 1 binary64) (/.f64 x y)))
(-.f64 (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x y)) (/.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1 binary64) x) x)) (pow.f64 y #s(literal 3 binary64)))) (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) x) x)) (pow.f64 y #s(literal 2 binary64)))) (/.f64 x y))))
#s(literal -1 binary64)
(-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 x (*.f64 #s(literal -1 binary64) x)) y)) #s(literal 1 binary64))
(-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (+.f64 x (/.f64 (*.f64 x (-.f64 x (*.f64 #s(literal -1 binary64) x))) y)) (*.f64 #s(literal -1 binary64) x)) y)) #s(literal 1 binary64))
(-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (+.f64 x (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 x (*.f64 #s(literal -1 binary64) x))) y)) (*.f64 x (-.f64 x (*.f64 #s(literal -1 binary64) x)))) y))) (*.f64 #s(literal -1 binary64) x)) y)) #s(literal 1 binary64))
(+.f64 #s(literal 0 binary64) (/.f64 (+.f64 x y) (-.f64 x y)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (/.f64 (+.f64 x y) (-.f64 x y)))) (cbrt.f64 (exp.f64 (/.f64 (+.f64 x y) (-.f64 x y)))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (+.f64 x y) (-.f64 x y))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (+.f64 x y) (-.f64 x y))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (+.f64 x y) (-.f64 x y))))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (+.f64 x y) (-.f64 x y)))) #s(literal 1 binary64))
(*.f64 (+.f64 x y) (/.f64 #s(literal 1 binary64) (-.f64 x y)))
(*.f64 (/.f64 (+.f64 x y) (-.f64 x y)) #s(literal 1 binary64))
(*.f64 (/.f64 (+.f64 x y) (-.f64 x y)) (log.f64 (exp.f64 #s(literal 1 binary64))))
(*.f64 #s(literal 1 binary64) (/.f64 (+.f64 x y) (-.f64 x y)))
(*.f64 (cbrt.f64 (/.f64 (+.f64 x y) (-.f64 x y))) (pow.f64 (cbrt.f64 (/.f64 (+.f64 x y) (-.f64 x y))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 x y) (-.f64 x y))) #s(literal 2 binary64)) (cbrt.f64 (/.f64 (+.f64 x y) (-.f64 x y))))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 x y)) #s(literal 2 binary64)) (/.f64 (cbrt.f64 (+.f64 x y)) (-.f64 x y)))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 x y)) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (+.f64 x y)) (/.f64 #s(literal 1 binary64) (-.f64 x y))))
(*.f64 (sqrt.f64 (/.f64 (+.f64 x y) (-.f64 x y))) (sqrt.f64 (/.f64 (+.f64 x y) (-.f64 x y))))
(*.f64 (sqrt.f64 (+.f64 x y)) (/.f64 (sqrt.f64 (+.f64 x y)) (-.f64 x y)))
(*.f64 (sqrt.f64 (+.f64 x y)) (*.f64 (sqrt.f64 (+.f64 x y)) (/.f64 #s(literal 1 binary64) (-.f64 x y))))
(*.f64 (neg.f64 (+.f64 x y)) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 x y))))
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 x y)) (+.f64 x y))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 (-.f64 x y)) #s(literal 2 binary64))) (/.f64 (+.f64 x y) (cbrt.f64 (-.f64 x y))))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 x y))) (/.f64 (+.f64 x y) (sqrt.f64 (-.f64 x y))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 x y)) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (cbrt.f64 (+.f64 x y)) (-.f64 x y)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 x y)) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 (-.f64 x y)) #s(literal 2 binary64))) (cbrt.f64 (/.f64 (+.f64 x y) (-.f64 x y))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 x y)) #s(literal 2 binary64)) (sqrt.f64 (-.f64 x y))) (/.f64 (cbrt.f64 (+.f64 x y)) (sqrt.f64 (-.f64 x y))))
(*.f64 (/.f64 (sqrt.f64 (+.f64 x y)) #s(literal 1 binary64)) (/.f64 (sqrt.f64 (+.f64 x y)) (-.f64 x y)))
(*.f64 (/.f64 (sqrt.f64 (+.f64 x y)) (pow.f64 (cbrt.f64 (-.f64 x y)) #s(literal 2 binary64))) (/.f64 (sqrt.f64 (+.f64 x y)) (cbrt.f64 (-.f64 x y))))
(*.f64 (/.f64 (+.f64 x y) (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))) (+.f64 x y))
(*.f64 (/.f64 (+.f64 x y) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (fma.f64 y (+.f64 x y) (pow.f64 x #s(literal 2 binary64))))
(pow.f64 (/.f64 (+.f64 x y) (-.f64 x y)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (/.f64 (+.f64 x y) (-.f64 x y))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 (+.f64 x y) (-.f64 x y)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (/.f64 (+.f64 x y) (-.f64 x y))) #s(literal 2 binary64))
(pow.f64 (/.f64 (-.f64 x y) (+.f64 x y)) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 (-.f64 x y) (+.f64 x y)) #s(literal 1 binary64)) #s(literal -1 binary64))
(neg.f64 (/.f64 (+.f64 x y) (neg.f64 (-.f64 x y))))
(neg.f64 (/.f64 (neg.f64 (+.f64 x y)) (-.f64 x y)))
(sqrt.f64 (pow.f64 (/.f64 (+.f64 x y) (-.f64 x y)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (/.f64 (+.f64 x y) (-.f64 x y))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 (+.f64 x y) (-.f64 x y)))))
(cbrt.f64 (pow.f64 (/.f64 (+.f64 x y) (-.f64 x y)) #s(literal 3 binary64)))
(cbrt.f64 (/.f64 (pow.f64 (+.f64 x y) #s(literal 3 binary64)) (pow.f64 (-.f64 x y) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (/.f64 (+.f64 x y) (-.f64 x y))))
(log1p.f64 (expm1.f64 (/.f64 (+.f64 x y) (-.f64 x y))))
(exp.f64 (log.f64 (/.f64 (+.f64 x y) (-.f64 x y))))
(exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 x y) (-.f64 x y))) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (/.f64 (+.f64 x y) (-.f64 x y)))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 3 binary64) (log.f64 (/.f64 (+.f64 x y) (-.f64 x y)))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 (+.f64 x y) (-.f64 x y)))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (/.f64 (-.f64 x y) (+.f64 x y))) #s(literal -1 binary64)))
Outputs
#s(literal -1 binary64)
(-.f64 (*.f64 #s(literal -2 binary64) (/.f64 x y)) #s(literal 1 binary64))
(fma.f64 #s(literal -2 binary64) (/.f64 x y) #s(literal -1 binary64))
(-.f64 (*.f64 x (-.f64 (*.f64 #s(literal -2 binary64) (/.f64 x (pow.f64 y #s(literal 2 binary64)))) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) y)))) #s(literal 1 binary64))
(fma.f64 x (-.f64 (*.f64 #s(literal -2 binary64) (/.f64 x (pow.f64 y #s(literal 2 binary64)))) (/.f64 #s(literal 2 binary64) y)) #s(literal -1 binary64))
(fma.f64 x (fma.f64 #s(literal -2 binary64) (/.f64 x (pow.f64 y #s(literal 2 binary64))) (/.f64 #s(literal -2 binary64) y)) #s(literal -1 binary64))
(-.f64 (*.f64 x (-.f64 (*.f64 x (-.f64 (*.f64 #s(literal -2 binary64) (/.f64 x (pow.f64 y #s(literal 3 binary64)))) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64)))))) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) y)))) #s(literal 1 binary64))
(fma.f64 x (-.f64 (*.f64 x (-.f64 (*.f64 #s(literal -2 binary64) (/.f64 x (pow.f64 y #s(literal 3 binary64)))) (/.f64 #s(literal 2 binary64) (pow.f64 y #s(literal 2 binary64))))) (/.f64 #s(literal 2 binary64) y)) #s(literal -1 binary64))
(fma.f64 x (fma.f64 x (fma.f64 #s(literal -2 binary64) (/.f64 x (pow.f64 y #s(literal 3 binary64))) (/.f64 #s(literal -2 binary64) (pow.f64 y #s(literal 2 binary64)))) (/.f64 #s(literal -2 binary64) y)) #s(literal -1 binary64))
#s(literal 1 binary64)
(-.f64 (+.f64 #s(literal 1 binary64) (/.f64 y x)) (*.f64 #s(literal -1 binary64) (/.f64 y x)))
(-.f64 (+.f64 #s(literal 1 binary64) (/.f64 y x)) (/.f64 (neg.f64 y) x))
(fma.f64 #s(literal 2 binary64) (/.f64 y x) #s(literal 1 binary64))
(fma.f64 y (/.f64 #s(literal 2 binary64) x) #s(literal 1 binary64))
(-.f64 (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 y x) (/.f64 (*.f64 y (-.f64 y (*.f64 #s(literal -1 binary64) y))) (pow.f64 x #s(literal 2 binary64))))) (*.f64 #s(literal -1 binary64) (/.f64 y x)))
(+.f64 #s(literal 1 binary64) (-.f64 (+.f64 (/.f64 y x) (*.f64 y (/.f64 (-.f64 y (neg.f64 y)) (pow.f64 x #s(literal 2 binary64))))) (/.f64 (neg.f64 y) x)))
(fma.f64 y (fma.f64 #s(literal 2 binary64) (/.f64 y (pow.f64 x #s(literal 2 binary64))) (/.f64 #s(literal 2 binary64) x)) #s(literal 1 binary64))
(fma.f64 y (fma.f64 y (/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))) (/.f64 #s(literal 2 binary64) x)) #s(literal 1 binary64))
(-.f64 (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 y x) (/.f64 (*.f64 (pow.f64 y #s(literal 2 binary64)) (-.f64 y (*.f64 #s(literal -1 binary64) y))) (pow.f64 x #s(literal 3 binary64))))) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 y x)) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 y (-.f64 y (*.f64 #s(literal -1 binary64) y))) (pow.f64 x #s(literal 2 binary64))))))
(-.f64 (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 y x) (/.f64 (*.f64 (pow.f64 y #s(literal 2 binary64)) (-.f64 y (neg.f64 y))) (pow.f64 x #s(literal 3 binary64))))) (*.f64 #s(literal -1 binary64) (+.f64 (/.f64 y x) (*.f64 y (/.f64 (-.f64 y (neg.f64 y)) (pow.f64 x #s(literal 2 binary64)))))))
(+.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (pow.f64 y #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (/.f64 y (pow.f64 x #s(literal 3 binary64)))) (/.f64 y x)) (neg.f64 (fma.f64 y (/.f64 (*.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) (/.f64 y x)))))
(fma.f64 y (fma.f64 y (fma.f64 #s(literal 2 binary64) (/.f64 y (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))) (/.f64 #s(literal 2 binary64) x)) #s(literal 1 binary64))
#s(literal 1 binary64)
(-.f64 (+.f64 #s(literal 1 binary64) (/.f64 y x)) (*.f64 #s(literal -1 binary64) (/.f64 y x)))
(-.f64 (+.f64 #s(literal 1 binary64) (/.f64 y x)) (/.f64 (neg.f64 y) x))
(fma.f64 #s(literal 2 binary64) (/.f64 y x) #s(literal 1 binary64))
(fma.f64 y (/.f64 #s(literal 2 binary64) x) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (-.f64 y (*.f64 #s(literal -1 binary64) y))) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 y (-.f64 y (*.f64 #s(literal -1 binary64) y))) x))) x)))
(+.f64 #s(literal 1 binary64) (-.f64 (+.f64 (/.f64 y x) (*.f64 y (/.f64 (-.f64 y (neg.f64 y)) (pow.f64 x #s(literal 2 binary64))))) (/.f64 (neg.f64 y) x)))
(fma.f64 y (fma.f64 #s(literal 2 binary64) (/.f64 y (pow.f64 x #s(literal 2 binary64))) (/.f64 #s(literal 2 binary64) x)) #s(literal 1 binary64))
(fma.f64 y (fma.f64 y (/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))) (/.f64 #s(literal 2 binary64) x)) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (-.f64 y (*.f64 #s(literal -1 binary64) y))) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 y (-.f64 y (*.f64 #s(literal -1 binary64) y))) (/.f64 (*.f64 (pow.f64 y #s(literal 2 binary64)) (-.f64 y (*.f64 #s(literal -1 binary64) y))) x)) x))) x)))
(+.f64 #s(literal 1 binary64) (neg.f64 (/.f64 (*.f64 #s(literal -1 binary64) (+.f64 (-.f64 y (neg.f64 y)) (/.f64 (fma.f64 y (-.f64 y (neg.f64 y)) (/.f64 (*.f64 (pow.f64 y #s(literal 2 binary64)) (-.f64 y (neg.f64 y))) x)) x))) x)))
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 (neg.f64 (*.f64 y #s(literal 2 binary64))) (/.f64 (fma.f64 (pow.f64 y #s(literal 2 binary64)) (*.f64 y (/.f64 #s(literal 2 binary64) x)) (*.f64 y (*.f64 y #s(literal 2 binary64)))) x)) x))
(+.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y #s(literal 2 binary64) (/.f64 (*.f64 y (*.f64 y (+.f64 (*.f64 y (/.f64 #s(literal 2 binary64) x)) #s(literal 2 binary64)))) x)) x))
#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 y x)))
(-.f64 (+.f64 #s(literal 1 binary64) (/.f64 y x)) (/.f64 (neg.f64 y) x))
(fma.f64 #s(literal 2 binary64) (/.f64 y x) #s(literal 1 binary64))
(fma.f64 y (/.f64 #s(literal 2 binary64) x) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal 2 binary64) (/.f64 y (pow.f64 x #s(literal 2 binary64)))) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) x)))))
(+.f64 #s(literal 1 binary64) (-.f64 (+.f64 (/.f64 y x) (*.f64 y (/.f64 (-.f64 y (neg.f64 y)) (pow.f64 x #s(literal 2 binary64))))) (/.f64 (neg.f64 y) x)))
(fma.f64 y (fma.f64 #s(literal 2 binary64) (/.f64 y (pow.f64 x #s(literal 2 binary64))) (/.f64 #s(literal 2 binary64) x)) #s(literal 1 binary64))
(fma.f64 y (fma.f64 y (/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))) (/.f64 #s(literal 2 binary64) x)) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (*.f64 y (+.f64 (*.f64 y (+.f64 (*.f64 #s(literal 2 binary64) (/.f64 y (pow.f64 x #s(literal 3 binary64)))) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) x)))))
(-.f64 (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 y x) (/.f64 (*.f64 (pow.f64 y #s(literal 2 binary64)) (-.f64 y (neg.f64 y))) (pow.f64 x #s(literal 3 binary64))))) (*.f64 #s(literal -1 binary64) (+.f64 (/.f64 y x) (*.f64 y (/.f64 (-.f64 y (neg.f64 y)) (pow.f64 x #s(literal 2 binary64)))))))
(+.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (pow.f64 y #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (/.f64 y (pow.f64 x #s(literal 3 binary64)))) (/.f64 y x)) (neg.f64 (fma.f64 y (/.f64 (*.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) (/.f64 y x)))))
(fma.f64 y (fma.f64 y (fma.f64 #s(literal 2 binary64) (/.f64 y (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))) (/.f64 #s(literal 2 binary64) x)) #s(literal 1 binary64))
#s(literal -1 binary64)
(-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x y)) (+.f64 #s(literal 1 binary64) (/.f64 x y)))
(fma.f64 #s(literal -2 binary64) (/.f64 x y) #s(literal -1 binary64))
(-.f64 (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x y)) (/.f64 (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) x) x)) (pow.f64 y #s(literal 2 binary64)))) (+.f64 #s(literal 1 binary64) (/.f64 x y)))
(fma.f64 x (-.f64 (*.f64 #s(literal -2 binary64) (/.f64 x (pow.f64 y #s(literal 2 binary64)))) (/.f64 #s(literal 2 binary64) y)) #s(literal -1 binary64))
(fma.f64 x (fma.f64 #s(literal -2 binary64) (/.f64 x (pow.f64 y #s(literal 2 binary64))) (/.f64 #s(literal -2 binary64) y)) #s(literal -1 binary64))
(-.f64 (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x y)) (/.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1 binary64) x) x)) (pow.f64 y #s(literal 3 binary64)))) (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) x) x)) (pow.f64 y #s(literal 2 binary64)))) (/.f64 x y))))
(-.f64 (fma.f64 #s(literal -1 binary64) (/.f64 x y) (*.f64 (pow.f64 x #s(literal 2 binary64)) (/.f64 (-.f64 (neg.f64 x) x) (pow.f64 y #s(literal 3 binary64))))) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1 binary64) (*.f64 x (/.f64 (-.f64 (neg.f64 x) x) (pow.f64 y #s(literal 2 binary64)))) (/.f64 x y))))
(-.f64 (-.f64 (*.f64 (*.f64 #s(literal -2 binary64) x) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 3 binary64)))) (/.f64 x y)) (+.f64 (/.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 x (*.f64 #s(literal -2 binary64) x)) (pow.f64 y #s(literal 2 binary64))))))
(+.f64 (/.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3 binary64))) (neg.f64 (pow.f64 y #s(literal 3 binary64)))) (fma.f64 x (fma.f64 #s(literal -2 binary64) (/.f64 x (pow.f64 y #s(literal 2 binary64))) (/.f64 #s(literal -2 binary64) y)) #s(literal -1 binary64)))
#s(literal -1 binary64)
(-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 x (*.f64 #s(literal -1 binary64) x)) y)) #s(literal 1 binary64))
(fma.f64 #s(literal -2 binary64) (/.f64 x y) #s(literal -1 binary64))
(-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (+.f64 x (/.f64 (*.f64 x (-.f64 x (*.f64 #s(literal -1 binary64) x))) y)) (*.f64 #s(literal -1 binary64) x)) y)) #s(literal 1 binary64))
(fma.f64 #s(literal -1 binary64) (/.f64 (-.f64 (+.f64 x (*.f64 x (/.f64 (-.f64 x (neg.f64 x)) y))) (neg.f64 x)) y) #s(literal -1 binary64))
(fma.f64 #s(literal -1 binary64) (/.f64 (+.f64 x (fma.f64 x (/.f64 (*.f64 #s(literal 2 binary64) x) y) x)) y) #s(literal -1 binary64))
(-.f64 #s(literal -1 binary64) (/.f64 (*.f64 x (+.f64 (*.f64 #s(literal 2 binary64) (/.f64 x y)) #s(literal 2 binary64))) y))
(-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (+.f64 x (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 x (*.f64 #s(literal -1 binary64) x))) y)) (*.f64 x (-.f64 x (*.f64 #s(literal -1 binary64) x)))) y))) (*.f64 #s(literal -1 binary64) x)) y)) #s(literal 1 binary64))
(fma.f64 #s(literal -1 binary64) (/.f64 (+.f64 x (-.f64 (neg.f64 (/.f64 (-.f64 (neg.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (/.f64 (-.f64 x (neg.f64 x)) y))) (*.f64 x (-.f64 x (neg.f64 x)))) y)) (neg.f64 x))) y) #s(literal -1 binary64))
(fma.f64 #s(literal -1 binary64) (/.f64 (+.f64 x (-.f64 x (/.f64 (+.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (/.f64 (*.f64 #s(literal -2 binary64) x) y)) (*.f64 x (*.f64 #s(literal -2 binary64) x))) y))) y) #s(literal -1 binary64))
(-.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 x #s(literal 2 binary64)) (/.f64 (*.f64 (*.f64 x #s(literal 2 binary64)) (+.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) y) x)) y)) y))
(+.f64 #s(literal 0 binary64) (/.f64 (+.f64 x y) (-.f64 x y)))
(/.f64 (+.f64 x y) (-.f64 x y))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (/.f64 (+.f64 x y) (-.f64 x y)))) (cbrt.f64 (exp.f64 (/.f64 (+.f64 x y) (-.f64 x y)))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (+.f64 x y) (-.f64 x y))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (+.f64 x y) (-.f64 x y))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (+.f64 x y) (-.f64 x y))))))
(*.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (+.f64 x y) (-.f64 x y))))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (+.f64 x y) (-.f64 x y)))) #s(literal 1 binary64))
(/.f64 (+.f64 x y) (-.f64 x y))
(*.f64 (+.f64 x y) (/.f64 #s(literal 1 binary64) (-.f64 x y)))
(/.f64 (+.f64 x y) (-.f64 x y))
(*.f64 (/.f64 (+.f64 x y) (-.f64 x y)) #s(literal 1 binary64))
(/.f64 (+.f64 x y) (-.f64 x y))
(*.f64 (/.f64 (+.f64 x y) (-.f64 x y)) (log.f64 (exp.f64 #s(literal 1 binary64))))
(/.f64 (+.f64 x y) (-.f64 x y))
(*.f64 #s(literal 1 binary64) (/.f64 (+.f64 x y) (-.f64 x y)))
(/.f64 (+.f64 x y) (-.f64 x y))
(*.f64 (cbrt.f64 (/.f64 (+.f64 x y) (-.f64 x y))) (pow.f64 (cbrt.f64 (/.f64 (+.f64 x y) (-.f64 x y))) #s(literal 2 binary64)))
(/.f64 (+.f64 x y) (-.f64 x y))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 x y) (-.f64 x y))) #s(literal 2 binary64)) (cbrt.f64 (/.f64 (+.f64 x y) (-.f64 x y))))
(/.f64 (+.f64 x y) (-.f64 x y))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 x y)) #s(literal 2 binary64)) (/.f64 (cbrt.f64 (+.f64 x y)) (-.f64 x y)))
(/.f64 (+.f64 x y) (-.f64 x y))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 x y)) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (+.f64 x y)) (/.f64 #s(literal 1 binary64) (-.f64 x y))))
(/.f64 (+.f64 x y) (-.f64 x y))
(*.f64 (sqrt.f64 (/.f64 (+.f64 x y) (-.f64 x y))) (sqrt.f64 (/.f64 (+.f64 x y) (-.f64 x y))))
(/.f64 (+.f64 x y) (-.f64 x y))
(*.f64 (sqrt.f64 (+.f64 x y)) (/.f64 (sqrt.f64 (+.f64 x y)) (-.f64 x y)))
(/.f64 (+.f64 x y) (-.f64 x y))
(*.f64 (sqrt.f64 (+.f64 x y)) (*.f64 (sqrt.f64 (+.f64 x y)) (/.f64 #s(literal 1 binary64) (-.f64 x y))))
(/.f64 (+.f64 x y) (-.f64 x y))
(*.f64 (neg.f64 (+.f64 x y)) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 x y))))
(/.f64 (+.f64 x y) (-.f64 x y))
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 x y)) (+.f64 x y))
(/.f64 (+.f64 x y) (-.f64 x y))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 (-.f64 x y)) #s(literal 2 binary64))) (/.f64 (+.f64 x y) (cbrt.f64 (-.f64 x y))))
(/.f64 (/.f64 (+.f64 x y) (cbrt.f64 (-.f64 x y))) (pow.f64 (cbrt.f64 (-.f64 x y)) #s(literal 2 binary64)))
(/.f64 (+.f64 x y) (*.f64 (pow.f64 (cbrt.f64 (-.f64 x y)) #s(literal 2 binary64)) (cbrt.f64 (-.f64 x y))))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 x y))) (/.f64 (+.f64 x y) (sqrt.f64 (-.f64 x y))))
(/.f64 (/.f64 (+.f64 x y) (sqrt.f64 (-.f64 x y))) (sqrt.f64 (-.f64 x y)))
(/.f64 (+.f64 x y) (*.f64 (sqrt.f64 (-.f64 x y)) (sqrt.f64 (-.f64 x y))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 x y)) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (cbrt.f64 (+.f64 x y)) (-.f64 x y)))
(/.f64 (+.f64 x y) (-.f64 x y))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 x y)) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 (-.f64 x y)) #s(literal 2 binary64))) (cbrt.f64 (/.f64 (+.f64 x y) (-.f64 x y))))
(*.f64 (cbrt.f64 (/.f64 (+.f64 x y) (-.f64 x y))) (/.f64 (pow.f64 (cbrt.f64 (+.f64 x y)) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 (-.f64 x y)) #s(literal 2 binary64))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 x y)) #s(literal 2 binary64)) (sqrt.f64 (-.f64 x y))) (/.f64 (cbrt.f64 (+.f64 x y)) (sqrt.f64 (-.f64 x y))))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 x y))) (/.f64 (+.f64 x y) (sqrt.f64 (-.f64 x y))))
(/.f64 (/.f64 (+.f64 x y) (sqrt.f64 (-.f64 x y))) (sqrt.f64 (-.f64 x y)))
(/.f64 (+.f64 x y) (*.f64 (sqrt.f64 (-.f64 x y)) (sqrt.f64 (-.f64 x y))))
(*.f64 (/.f64 (sqrt.f64 (+.f64 x y)) #s(literal 1 binary64)) (/.f64 (sqrt.f64 (+.f64 x y)) (-.f64 x y)))
(/.f64 (+.f64 x y) (-.f64 x y))
(*.f64 (/.f64 (sqrt.f64 (+.f64 x y)) (pow.f64 (cbrt.f64 (-.f64 x y)) #s(literal 2 binary64))) (/.f64 (sqrt.f64 (+.f64 x y)) (cbrt.f64 (-.f64 x y))))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 (-.f64 x y)) #s(literal 2 binary64))) (/.f64 (+.f64 x y) (cbrt.f64 (-.f64 x y))))
(/.f64 (/.f64 (+.f64 x y) (cbrt.f64 (-.f64 x y))) (pow.f64 (cbrt.f64 (-.f64 x y)) #s(literal 2 binary64)))
(/.f64 (+.f64 x y) (*.f64 (pow.f64 (cbrt.f64 (-.f64 x y)) #s(literal 2 binary64)) (cbrt.f64 (-.f64 x y))))
(*.f64 (/.f64 (+.f64 x y) (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))) (+.f64 x y))
(*.f64 (+.f64 x y) (/.f64 (+.f64 x y) (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))))
(/.f64 (*.f64 (+.f64 x y) (+.f64 x y)) (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))))
(/.f64 (pow.f64 (cbrt.f64 (+.f64 x y)) #s(literal 6 binary64)) (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))))
(*.f64 (/.f64 (+.f64 x y) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (fma.f64 y (+.f64 x y) (pow.f64 x #s(literal 2 binary64))))
(*.f64 (+.f64 x y) (/.f64 (fma.f64 y (+.f64 x y) (pow.f64 x #s(literal 2 binary64))) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))))
(/.f64 (*.f64 (+.f64 x y) (fma.f64 y (+.f64 x y) (pow.f64 x #s(literal 2 binary64)))) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))
(pow.f64 (/.f64 (+.f64 x y) (-.f64 x y)) #s(literal 1 binary64))
(/.f64 (+.f64 x y) (-.f64 x y))
(pow.f64 (cbrt.f64 (/.f64 (+.f64 x y) (-.f64 x y))) #s(literal 3 binary64))
(/.f64 (+.f64 x y) (-.f64 x y))
(pow.f64 (pow.f64 (/.f64 (+.f64 x y) (-.f64 x y)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(/.f64 (+.f64 x y) (-.f64 x y))
(pow.f64 (sqrt.f64 (/.f64 (+.f64 x y) (-.f64 x y))) #s(literal 2 binary64))
(/.f64 (+.f64 x y) (-.f64 x y))
(pow.f64 (/.f64 (-.f64 x y) (+.f64 x y)) #s(literal -1 binary64))
(/.f64 (+.f64 x y) (-.f64 x y))
(pow.f64 (/.f64 (/.f64 (-.f64 x y) (+.f64 x y)) #s(literal 1 binary64)) #s(literal -1 binary64))
(/.f64 (+.f64 x y) (-.f64 x y))
(neg.f64 (/.f64 (+.f64 x y) (neg.f64 (-.f64 x y))))
(/.f64 (+.f64 x y) (-.f64 x y))
(neg.f64 (/.f64 (neg.f64 (+.f64 x y)) (-.f64 x y)))
(/.f64 (+.f64 x y) (-.f64 x y))
(sqrt.f64 (pow.f64 (/.f64 (+.f64 x y) (-.f64 x y)) #s(literal 2 binary64)))
(/.f64 (+.f64 x y) (-.f64 x y))
(log.f64 (exp.f64 (/.f64 (+.f64 x y) (-.f64 x y))))
(/.f64 (+.f64 x y) (-.f64 x y))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 (+.f64 x y) (-.f64 x y)))))
(/.f64 (+.f64 x y) (-.f64 x y))
(cbrt.f64 (pow.f64 (/.f64 (+.f64 x y) (-.f64 x y)) #s(literal 3 binary64)))
(/.f64 (+.f64 x y) (-.f64 x y))
(cbrt.f64 (/.f64 (pow.f64 (+.f64 x y) #s(literal 3 binary64)) (pow.f64 (-.f64 x y) #s(literal 3 binary64))))
(/.f64 (+.f64 x y) (-.f64 x y))
(expm1.f64 (log1p.f64 (/.f64 (+.f64 x y) (-.f64 x y))))
(/.f64 (+.f64 x y) (-.f64 x y))
(log1p.f64 (expm1.f64 (/.f64 (+.f64 x y) (-.f64 x y))))
(/.f64 (+.f64 x y) (-.f64 x y))
(exp.f64 (log.f64 (/.f64 (+.f64 x y) (-.f64 x y))))
(/.f64 (+.f64 x y) (-.f64 x y))
(exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 x y) (-.f64 x y))) #s(literal 1 binary64)))
(/.f64 (+.f64 x y) (-.f64 x y))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (/.f64 (+.f64 x y) (-.f64 x y)))) #s(literal 3 binary64)))
(/.f64 (+.f64 x y) (-.f64 x y))
(exp.f64 (*.f64 (*.f64 #s(literal 3 binary64) (log.f64 (/.f64 (+.f64 x y) (-.f64 x y)))) #s(literal 1/3 binary64)))
(/.f64 (+.f64 x y) (-.f64 x y))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 (+.f64 x y) (-.f64 x y)))) #s(literal 2 binary64)))
(/.f64 (+.f64 x y) (-.f64 x y))
(exp.f64 (*.f64 (log.f64 (/.f64 (-.f64 x y) (+.f64 x y))) #s(literal -1 binary64)))
(/.f64 (+.f64 x y) (-.f64 x y))

eval30.0ms (1%)

Compiler

Compiled 1706 to 809 computations (52.6% saved)

prune16.0ms (0.5%)

Pruning

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New1004104
Fresh000
Picked011
Done000
Total1005105
Accuracy
100.0%
Counts
105 → 5
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(/.f64 (+.f64 x y) (-.f64 x y))
49.4%
(-.f64 (*.f64 #s(literal -2 binary64) (/.f64 x y)) #s(literal 1 binary64))
52.9%
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 y x)))
52.0%
#s(literal 1 binary64)
48.7%
#s(literal -1 binary64)
Compiler

Compiled 33 to 25 computations (24.2% saved)

localize65.0ms (2.2%)

Localize:

Found 2 expressions with local error:

NewAccuracyProgram
100.0%
(*.f64 #s(literal -2 binary64) (/.f64 x y))
100.0%
(*.f64 #s(literal 2 binary64) (/.f64 y x))
Compiler

Compiled 43 to 23 computations (46.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 20.0ms
Operation ival-mult, time spent: 10.0ms, 51.0% of total-time
Operation ival-div, time spent: 5.0ms, 25.0% of total-time
Operation ival-add, time spent: 2.0ms, 10.0% of total-time
Operation const, time spent: 2.0ms, 10.0% of total-time
Operation ival-sub, time spent: 1.0ms, 5.0% of total-time

series8.0ms (0.3%)

Counts
2 → 0
Calls
Call 1
Inputs
#<alt (*.f64 #s(literal 2 binary64) (/.f64 y x))>
#<alt (*.f64 #s(literal -2 binary64) (/.f64 x y))>
Outputs
Calls

12 calls:

TimeVariablePointExpression
1.0ms
x
@0
(* 2 (/ y x))
1.0ms
y
@inf
(* 2 (/ y x))
1.0ms
y
@0
(* 2 (/ y x))
1.0ms
x
@0
(* -2 (/ x y))
1.0ms
y
@0
(* -2 (/ x y))

rewrite87.0ms (2.9%)

Algorithm
batch-egg-rewrite
Rules
1500×unpow-prod-down
778×log-prod
660×log1p-expm1-u
660×expm1-log1p-u
352×pow-unpow
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01338
113938
2182138
Stop Event
node limit
Counts
2 → 61
Calls
Call 1
Inputs
(*.f64 #s(literal 2 binary64) (/.f64 y x))
(*.f64 #s(literal -2 binary64) (/.f64 x y))
Outputs
(+.f64 (/.f64 y x) (/.f64 y x))
(+.f64 #s(literal 0 binary64) (*.f64 #s(literal 2 binary64) (/.f64 y x)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (/.f64 y x))) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (/.f64 y x)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (/.f64 y x)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (/.f64 y x)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 #s(literal 2 binary64) (/.f64 y x)))) #s(literal 1 binary64))
(/.f64 #s(literal 2 binary64) (/.f64 x y))
(/.f64 #s(literal 1 binary64) (/.f64 x (*.f64 #s(literal 2 binary64) y)))
(/.f64 (*.f64 #s(literal 2 binary64) y) x)
(/.f64 (neg.f64 (*.f64 #s(literal 2 binary64) y)) (neg.f64 x))
(/.f64 (*.f64 #s(literal 2 binary64) (neg.f64 y)) (neg.f64 x))
(/.f64 (*.f64 (neg.f64 y) #s(literal 2 binary64)) (neg.f64 x))
(/.f64 (/.f64 (*.f64 #s(literal 2 binary64) y) #s(literal 1 binary64)) x)
(/.f64 (/.f64 (*.f64 #s(literal 2 binary64) y) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 x))
(/.f64 (/.f64 (*.f64 #s(literal 2 binary64) y) (sqrt.f64 x)) (sqrt.f64 x))
(pow.f64 (*.f64 #s(literal 2 binary64) (/.f64 y x)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 #s(literal 2 binary64) (/.f64 y x))) #s(literal 3 binary64))
(pow.f64 (*.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal 4 binary64)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (/.f64 y x)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (/.f64 y x))) #s(literal 2 binary64))
(pow.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y)) #s(literal -1 binary64))
(sqrt.f64 (*.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal 4 binary64)))
(log.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (/.f64 y x)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 #s(literal 2 binary64) (/.f64 y x)))))
(cbrt.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (/.f64 y x)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 #s(literal 2 binary64) (/.f64 y x))))
(log1p.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) (/.f64 y x))))
(exp.f64 (log.f64 (*.f64 #s(literal 2 binary64) (/.f64 y x))))
(exp.f64 (*.f64 (log.f64 (*.f64 #s(literal 2 binary64) (/.f64 y x))) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 #s(literal 2 binary64) (/.f64 y x)))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (/.f64 y x)) #s(literal 3 binary64))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (/.f64 y x)))) #s(literal 2 binary64)))
(+.f64 #s(literal 0 binary64) (*.f64 #s(literal -2 binary64) (/.f64 x y)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 #s(literal -2 binary64)) (/.f64 x y))) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 #s(literal -2 binary64)) (/.f64 x y)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 #s(literal -2 binary64)) (/.f64 x y)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 #s(literal -2 binary64)) (/.f64 x y)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 #s(literal -2 binary64) (/.f64 x y)))) #s(literal 1 binary64))
(/.f64 #s(literal -2 binary64) (/.f64 y x))
(/.f64 #s(literal 1 binary64) (/.f64 y (*.f64 x #s(literal -2 binary64))))
(/.f64 (*.f64 x #s(literal -2 binary64)) y)
(/.f64 (neg.f64 (*.f64 x #s(literal -2 binary64))) (neg.f64 y))
(/.f64 (*.f64 #s(literal -2 binary64) (neg.f64 x)) (neg.f64 y))
(/.f64 (*.f64 (neg.f64 x) #s(literal -2 binary64)) (neg.f64 y))
(/.f64 (/.f64 (*.f64 x #s(literal -2 binary64)) #s(literal 1 binary64)) y)
(/.f64 (/.f64 (*.f64 x #s(literal -2 binary64)) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (cbrt.f64 y))
(/.f64 (/.f64 (*.f64 x #s(literal -2 binary64)) (sqrt.f64 y)) (sqrt.f64 y))
(pow.f64 (*.f64 #s(literal -2 binary64) (/.f64 x y)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 #s(literal -2 binary64) (/.f64 x y))) #s(literal 3 binary64))
(pow.f64 (*.f64 (pow.f64 (/.f64 y x) #s(literal -2 binary64)) #s(literal 4 binary64)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (*.f64 #s(literal -2 binary64) (/.f64 x y)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (/.f64 x y))) #s(literal 2 binary64))
(pow.f64 (/.f64 y (*.f64 x #s(literal -2 binary64))) #s(literal -1 binary64))
(sqrt.f64 (*.f64 (pow.f64 (/.f64 y x) #s(literal -2 binary64)) #s(literal 4 binary64)))
(log.f64 (pow.f64 (exp.f64 #s(literal -2 binary64)) (/.f64 x y)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 #s(literal -2 binary64) (/.f64 x y)))))
(cbrt.f64 (pow.f64 (*.f64 #s(literal -2 binary64) (/.f64 x y)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 #s(literal -2 binary64) (/.f64 x y))))
(log1p.f64 (expm1.f64 (*.f64 #s(literal -2 binary64) (/.f64 x y))))
(exp.f64 (log.f64 (*.f64 #s(literal -2 binary64) (/.f64 x y))))
(exp.f64 (*.f64 (log.f64 (*.f64 #s(literal -2 binary64) (/.f64 x y))) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 #s(literal -2 binary64) (/.f64 x y)))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 3 binary64) (log.f64 (*.f64 #s(literal -2 binary64) (/.f64 x y)))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (/.f64 x y)))) #s(literal 2 binary64)))

simplify72.0ms (2.4%)

Algorithm
egg-herbie
Rules
1276×associate-*r*
1058×associate-*l*
968×cube-prod
742×exp-prod
734×fma-neg
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01561323
13091323
28251317
351041317
Stop Event
node limit
Counts
61 → 71
Calls
Call 1
Inputs
(+.f64 (/.f64 y x) (/.f64 y x))
(+.f64 #s(literal 0 binary64) (*.f64 #s(literal 2 binary64) (/.f64 y x)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (/.f64 y x))) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (/.f64 y x)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (/.f64 y x)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (/.f64 y x)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 #s(literal 2 binary64) (/.f64 y x)))) #s(literal 1 binary64))
(/.f64 #s(literal 2 binary64) (/.f64 x y))
(/.f64 #s(literal 1 binary64) (/.f64 x (*.f64 #s(literal 2 binary64) y)))
(/.f64 (*.f64 #s(literal 2 binary64) y) x)
(/.f64 (neg.f64 (*.f64 #s(literal 2 binary64) y)) (neg.f64 x))
(/.f64 (*.f64 #s(literal 2 binary64) (neg.f64 y)) (neg.f64 x))
(/.f64 (*.f64 (neg.f64 y) #s(literal 2 binary64)) (neg.f64 x))
(/.f64 (/.f64 (*.f64 #s(literal 2 binary64) y) #s(literal 1 binary64)) x)
(/.f64 (/.f64 (*.f64 #s(literal 2 binary64) y) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 x))
(/.f64 (/.f64 (*.f64 #s(literal 2 binary64) y) (sqrt.f64 x)) (sqrt.f64 x))
(pow.f64 (*.f64 #s(literal 2 binary64) (/.f64 y x)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 #s(literal 2 binary64) (/.f64 y x))) #s(literal 3 binary64))
(pow.f64 (*.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal 4 binary64)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (/.f64 y x)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (/.f64 y x))) #s(literal 2 binary64))
(pow.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y)) #s(literal -1 binary64))
(sqrt.f64 (*.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal 4 binary64)))
(log.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (/.f64 y x)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 #s(literal 2 binary64) (/.f64 y x)))))
(cbrt.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (/.f64 y x)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 #s(literal 2 binary64) (/.f64 y x))))
(log1p.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) (/.f64 y x))))
(exp.f64 (log.f64 (*.f64 #s(literal 2 binary64) (/.f64 y x))))
(exp.f64 (*.f64 (log.f64 (*.f64 #s(literal 2 binary64) (/.f64 y x))) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 #s(literal 2 binary64) (/.f64 y x)))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (/.f64 y x)) #s(literal 3 binary64))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (/.f64 y x)))) #s(literal 2 binary64)))
(+.f64 #s(literal 0 binary64) (*.f64 #s(literal -2 binary64) (/.f64 x y)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 #s(literal -2 binary64)) (/.f64 x y))) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 #s(literal -2 binary64)) (/.f64 x y)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 #s(literal -2 binary64)) (/.f64 x y)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 #s(literal -2 binary64)) (/.f64 x y)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 #s(literal -2 binary64) (/.f64 x y)))) #s(literal 1 binary64))
(/.f64 #s(literal -2 binary64) (/.f64 y x))
(/.f64 #s(literal 1 binary64) (/.f64 y (*.f64 x #s(literal -2 binary64))))
(/.f64 (*.f64 x #s(literal -2 binary64)) y)
(/.f64 (neg.f64 (*.f64 x #s(literal -2 binary64))) (neg.f64 y))
(/.f64 (*.f64 #s(literal -2 binary64) (neg.f64 x)) (neg.f64 y))
(/.f64 (*.f64 (neg.f64 x) #s(literal -2 binary64)) (neg.f64 y))
(/.f64 (/.f64 (*.f64 x #s(literal -2 binary64)) #s(literal 1 binary64)) y)
(/.f64 (/.f64 (*.f64 x #s(literal -2 binary64)) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (cbrt.f64 y))
(/.f64 (/.f64 (*.f64 x #s(literal -2 binary64)) (sqrt.f64 y)) (sqrt.f64 y))
(pow.f64 (*.f64 #s(literal -2 binary64) (/.f64 x y)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 #s(literal -2 binary64) (/.f64 x y))) #s(literal 3 binary64))
(pow.f64 (*.f64 (pow.f64 (/.f64 y x) #s(literal -2 binary64)) #s(literal 4 binary64)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (*.f64 #s(literal -2 binary64) (/.f64 x y)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (/.f64 x y))) #s(literal 2 binary64))
(pow.f64 (/.f64 y (*.f64 x #s(literal -2 binary64))) #s(literal -1 binary64))
(sqrt.f64 (*.f64 (pow.f64 (/.f64 y x) #s(literal -2 binary64)) #s(literal 4 binary64)))
(log.f64 (pow.f64 (exp.f64 #s(literal -2 binary64)) (/.f64 x y)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 #s(literal -2 binary64) (/.f64 x y)))))
(cbrt.f64 (pow.f64 (*.f64 #s(literal -2 binary64) (/.f64 x y)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 #s(literal -2 binary64) (/.f64 x y))))
(log1p.f64 (expm1.f64 (*.f64 #s(literal -2 binary64) (/.f64 x y))))
(exp.f64 (log.f64 (*.f64 #s(literal -2 binary64) (/.f64 x y))))
(exp.f64 (*.f64 (log.f64 (*.f64 #s(literal -2 binary64) (/.f64 x y))) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 #s(literal -2 binary64) (/.f64 x y)))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 3 binary64) (log.f64 (*.f64 #s(literal -2 binary64) (/.f64 x y)))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (/.f64 x y)))) #s(literal 2 binary64)))
Outputs
(+.f64 (/.f64 y x) (/.f64 y x))
(*.f64 (/.f64 y x) #s(literal 2 binary64))
(*.f64 y (/.f64 #s(literal 2 binary64) x))
(+.f64 #s(literal 0 binary64) (*.f64 #s(literal 2 binary64) (/.f64 y x)))
(*.f64 (/.f64 y x) #s(literal 2 binary64))
(*.f64 y (/.f64 #s(literal 2 binary64) x))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (/.f64 y x))) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (/.f64 y x)))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 y) (/.f64 #s(literal 2 binary64) x))) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 y) (/.f64 #s(literal 2 binary64) x)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (/.f64 y x)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (/.f64 y x)))))
(*.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (/.f64 y x)))))
(*.f64 #s(literal 2 binary64) (log.f64 (fabs.f64 (exp.f64 (/.f64 y x)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 #s(literal 2 binary64) (/.f64 y x)))) #s(literal 1 binary64))
(*.f64 (/.f64 y x) #s(literal 2 binary64))
(*.f64 y (/.f64 #s(literal 2 binary64) x))
(/.f64 #s(literal 2 binary64) (/.f64 x y))
(*.f64 (/.f64 y x) #s(literal 2 binary64))
(*.f64 y (/.f64 #s(literal 2 binary64) x))
(/.f64 #s(literal 1 binary64) (/.f64 x (*.f64 #s(literal 2 binary64) y)))
(*.f64 (/.f64 y x) #s(literal 2 binary64))
(*.f64 y (/.f64 #s(literal 2 binary64) x))
(/.f64 (*.f64 #s(literal 2 binary64) y) x)
(*.f64 (/.f64 y x) #s(literal 2 binary64))
(*.f64 y (/.f64 #s(literal 2 binary64) x))
(/.f64 (neg.f64 (*.f64 #s(literal 2 binary64) y)) (neg.f64 x))
(*.f64 (/.f64 y x) #s(literal 2 binary64))
(*.f64 y (/.f64 #s(literal 2 binary64) x))
(/.f64 (*.f64 #s(literal 2 binary64) (neg.f64 y)) (neg.f64 x))
(*.f64 (/.f64 y x) #s(literal 2 binary64))
(*.f64 y (/.f64 #s(literal 2 binary64) x))
(/.f64 (*.f64 (neg.f64 y) #s(literal 2 binary64)) (neg.f64 x))
(*.f64 (/.f64 y x) #s(literal 2 binary64))
(*.f64 y (/.f64 #s(literal 2 binary64) x))
(/.f64 (/.f64 (*.f64 #s(literal 2 binary64) y) #s(literal 1 binary64)) x)
(*.f64 (/.f64 y x) #s(literal 2 binary64))
(*.f64 y (/.f64 #s(literal 2 binary64) x))
(/.f64 (/.f64 (*.f64 #s(literal 2 binary64) y) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 x))
(*.f64 (/.f64 y x) #s(literal 2 binary64))
(*.f64 y (/.f64 #s(literal 2 binary64) x))
(/.f64 (/.f64 (*.f64 #s(literal 2 binary64) y) (sqrt.f64 x)) (sqrt.f64 x))
(*.f64 (/.f64 y x) #s(literal 2 binary64))
(*.f64 y (/.f64 #s(literal 2 binary64) x))
(pow.f64 (*.f64 #s(literal 2 binary64) (/.f64 y x)) #s(literal 1 binary64))
(*.f64 (/.f64 y x) #s(literal 2 binary64))
(*.f64 y (/.f64 #s(literal 2 binary64) x))
(pow.f64 (cbrt.f64 (*.f64 #s(literal 2 binary64) (/.f64 y x))) #s(literal 3 binary64))
(*.f64 (/.f64 y x) #s(literal 2 binary64))
(*.f64 y (/.f64 #s(literal 2 binary64) x))
(pow.f64 (*.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal 4 binary64)) #s(literal 1/2 binary64))
(*.f64 (/.f64 y x) #s(literal 2 binary64))
(*.f64 y (/.f64 #s(literal 2 binary64) x))
(pow.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (/.f64 y x)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(*.f64 (/.f64 y x) #s(literal 2 binary64))
(*.f64 y (/.f64 #s(literal 2 binary64) x))
(pow.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (/.f64 y x))) #s(literal 2 binary64))
(*.f64 (/.f64 y x) #s(literal 2 binary64))
(*.f64 y (/.f64 #s(literal 2 binary64) x))
(pow.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y)) #s(literal -1 binary64))
(*.f64 (/.f64 y x) #s(literal 2 binary64))
(*.f64 y (/.f64 #s(literal 2 binary64) x))
(sqrt.f64 (*.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal 4 binary64)))
(*.f64 (/.f64 y x) #s(literal 2 binary64))
(*.f64 y (/.f64 #s(literal 2 binary64) x))
(log.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (/.f64 y x)))
(*.f64 (/.f64 y x) #s(literal 2 binary64))
(*.f64 y (/.f64 #s(literal 2 binary64) x))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 #s(literal 2 binary64) (/.f64 y x)))))
(*.f64 (/.f64 y x) #s(literal 2 binary64))
(*.f64 y (/.f64 #s(literal 2 binary64) x))
(cbrt.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (/.f64 y x)) #s(literal 3 binary64)))
(*.f64 (/.f64 y x) #s(literal 2 binary64))
(*.f64 y (/.f64 #s(literal 2 binary64) x))
(expm1.f64 (log1p.f64 (*.f64 #s(literal 2 binary64) (/.f64 y x))))
(*.f64 (/.f64 y x) #s(literal 2 binary64))
(*.f64 y (/.f64 #s(literal 2 binary64) x))
(log1p.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) (/.f64 y x))))
(*.f64 (/.f64 y x) #s(literal 2 binary64))
(*.f64 y (/.f64 #s(literal 2 binary64) x))
(exp.f64 (log.f64 (*.f64 #s(literal 2 binary64) (/.f64 y x))))
(*.f64 (/.f64 y x) #s(literal 2 binary64))
(*.f64 y (/.f64 #s(literal 2 binary64) x))
(exp.f64 (*.f64 (log.f64 (*.f64 #s(literal 2 binary64) (/.f64 y x))) #s(literal 1 binary64)))
(*.f64 (/.f64 y x) #s(literal 2 binary64))
(*.f64 y (/.f64 #s(literal 2 binary64) x))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 #s(literal 2 binary64) (/.f64 y x)))) #s(literal 3 binary64)))
(*.f64 (/.f64 y x) #s(literal 2 binary64))
(*.f64 y (/.f64 #s(literal 2 binary64) x))
(exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (/.f64 y x)) #s(literal 3 binary64))) #s(literal 1/3 binary64)))
(*.f64 (/.f64 y x) #s(literal 2 binary64))
(*.f64 y (/.f64 #s(literal 2 binary64) x))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (/.f64 y x)))) #s(literal 2 binary64)))
(*.f64 (/.f64 y x) #s(literal 2 binary64))
(*.f64 y (/.f64 #s(literal 2 binary64) x))
(+.f64 #s(literal 0 binary64) (*.f64 #s(literal -2 binary64) (/.f64 x y)))
(*.f64 x (/.f64 #s(literal -2 binary64) y))
(/.f64 (*.f64 x #s(literal -2 binary64)) y)
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 #s(literal -2 binary64)) (/.f64 x y))) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 #s(literal -2 binary64)) (/.f64 x y)))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (/.f64 #s(literal -2 binary64) y))) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (/.f64 #s(literal -2 binary64) y)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 #s(literal -2 binary64)) (/.f64 x y)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 #s(literal -2 binary64)) (/.f64 x y)))))
(*.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 #s(literal -2 binary64)) (/.f64 x y)))))
(*.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (/.f64 #s(literal -2 binary64) y)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 #s(literal -2 binary64) (/.f64 x y)))) #s(literal 1 binary64))
(*.f64 x (/.f64 #s(literal -2 binary64) y))
(/.f64 (*.f64 x #s(literal -2 binary64)) y)
(/.f64 #s(literal -2 binary64) (/.f64 y x))
(*.f64 x (/.f64 #s(literal -2 binary64) y))
(/.f64 (*.f64 x #s(literal -2 binary64)) y)
(/.f64 #s(literal 1 binary64) (/.f64 y (*.f64 x #s(literal -2 binary64))))
(*.f64 x (/.f64 #s(literal -2 binary64) y))
(/.f64 (*.f64 x #s(literal -2 binary64)) y)
(/.f64 (*.f64 x #s(literal -2 binary64)) y)
(*.f64 x (/.f64 #s(literal -2 binary64) y))
(/.f64 (neg.f64 (*.f64 x #s(literal -2 binary64))) (neg.f64 y))
(*.f64 x (/.f64 #s(literal -2 binary64) y))
(/.f64 (*.f64 x #s(literal -2 binary64)) y)
(/.f64 (*.f64 #s(literal -2 binary64) (neg.f64 x)) (neg.f64 y))
(*.f64 x (/.f64 #s(literal -2 binary64) y))
(/.f64 (*.f64 x #s(literal -2 binary64)) y)
(/.f64 (*.f64 (neg.f64 x) #s(literal -2 binary64)) (neg.f64 y))
(*.f64 x (/.f64 #s(literal -2 binary64) y))
(/.f64 (*.f64 x #s(literal -2 binary64)) y)
(/.f64 (/.f64 (*.f64 x #s(literal -2 binary64)) #s(literal 1 binary64)) y)
(*.f64 x (/.f64 #s(literal -2 binary64) y))
(/.f64 (*.f64 x #s(literal -2 binary64)) y)
(/.f64 (/.f64 (*.f64 x #s(literal -2 binary64)) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (cbrt.f64 y))
(*.f64 x (/.f64 #s(literal -2 binary64) y))
(/.f64 (*.f64 x #s(literal -2 binary64)) y)
(/.f64 (/.f64 (*.f64 x #s(literal -2 binary64)) (sqrt.f64 y)) (sqrt.f64 y))
(*.f64 x (/.f64 #s(literal -2 binary64) y))
(/.f64 (*.f64 x #s(literal -2 binary64)) y)
(pow.f64 (*.f64 #s(literal -2 binary64) (/.f64 x y)) #s(literal 1 binary64))
(*.f64 x (/.f64 #s(literal -2 binary64) y))
(/.f64 (*.f64 x #s(literal -2 binary64)) y)
(pow.f64 (cbrt.f64 (*.f64 #s(literal -2 binary64) (/.f64 x y))) #s(literal 3 binary64))
(*.f64 x (/.f64 #s(literal -2 binary64) y))
(/.f64 (*.f64 x #s(literal -2 binary64)) y)
(pow.f64 (*.f64 (pow.f64 (/.f64 y x) #s(literal -2 binary64)) #s(literal 4 binary64)) #s(literal 1/2 binary64))
(sqrt.f64 (*.f64 #s(literal 4 binary64) (pow.f64 (/.f64 y x) #s(literal -2 binary64))))
(pow.f64 (pow.f64 (*.f64 #s(literal -2 binary64) (/.f64 x y)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(*.f64 x (/.f64 #s(literal -2 binary64) y))
(/.f64 (*.f64 x #s(literal -2 binary64)) y)
(pow.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (/.f64 x y))) #s(literal 2 binary64))
(*.f64 x (/.f64 #s(literal -2 binary64) y))
(/.f64 (*.f64 x #s(literal -2 binary64)) y)
(pow.f64 (/.f64 y (*.f64 x #s(literal -2 binary64))) #s(literal -1 binary64))
(*.f64 x (/.f64 #s(literal -2 binary64) y))
(/.f64 (*.f64 x #s(literal -2 binary64)) y)
(sqrt.f64 (*.f64 (pow.f64 (/.f64 y x) #s(literal -2 binary64)) #s(literal 4 binary64)))
(sqrt.f64 (*.f64 #s(literal 4 binary64) (pow.f64 (/.f64 y x) #s(literal -2 binary64))))
(log.f64 (pow.f64 (exp.f64 #s(literal -2 binary64)) (/.f64 x y)))
(*.f64 x (/.f64 #s(literal -2 binary64) y))
(/.f64 (*.f64 x #s(literal -2 binary64)) y)
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 #s(literal -2 binary64) (/.f64 x y)))))
(*.f64 x (/.f64 #s(literal -2 binary64) y))
(/.f64 (*.f64 x #s(literal -2 binary64)) y)
(cbrt.f64 (pow.f64 (*.f64 #s(literal -2 binary64) (/.f64 x y)) #s(literal 3 binary64)))
(*.f64 x (/.f64 #s(literal -2 binary64) y))
(/.f64 (*.f64 x #s(literal -2 binary64)) y)
(expm1.f64 (log1p.f64 (*.f64 #s(literal -2 binary64) (/.f64 x y))))
(*.f64 x (/.f64 #s(literal -2 binary64) y))
(/.f64 (*.f64 x #s(literal -2 binary64)) y)
(log1p.f64 (expm1.f64 (*.f64 #s(literal -2 binary64) (/.f64 x y))))
(*.f64 x (/.f64 #s(literal -2 binary64) y))
(/.f64 (*.f64 x #s(literal -2 binary64)) y)
(exp.f64 (log.f64 (*.f64 #s(literal -2 binary64) (/.f64 x y))))
(*.f64 x (/.f64 #s(literal -2 binary64) y))
(/.f64 (*.f64 x #s(literal -2 binary64)) y)
(exp.f64 (*.f64 (log.f64 (*.f64 #s(literal -2 binary64) (/.f64 x y))) #s(literal 1 binary64)))
(*.f64 x (/.f64 #s(literal -2 binary64) y))
(/.f64 (*.f64 x #s(literal -2 binary64)) y)
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 #s(literal -2 binary64) (/.f64 x y)))) #s(literal 3 binary64)))
(*.f64 x (/.f64 #s(literal -2 binary64) y))
(/.f64 (*.f64 x #s(literal -2 binary64)) y)
(exp.f64 (*.f64 (*.f64 #s(literal 3 binary64) (log.f64 (*.f64 #s(literal -2 binary64) (/.f64 x y)))) #s(literal 1/3 binary64)))
(*.f64 x (/.f64 #s(literal -2 binary64) y))
(/.f64 (*.f64 x #s(literal -2 binary64)) y)
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (/.f64 x y)))) #s(literal 2 binary64)))
(*.f64 x (/.f64 #s(literal -2 binary64) y))
(/.f64 (*.f64 x #s(literal -2 binary64)) y)

eval26.0ms (0.9%)

Compiler

Compiled 766 to 540 computations (29.5% saved)

prune27.0ms (0.9%)

Pruning

5 alts after pruning (0 fresh and 5 done)

PrunedKeptTotal
New71071
Fresh000
Picked044
Done011
Total71576
Accuracy
100.0%
Counts
76 → 5
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(/.f64 (+.f64 x y) (-.f64 x y))
49.4%
(-.f64 (*.f64 #s(literal -2 binary64) (/.f64 x y)) #s(literal 1 binary64))
52.9%
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 y x)))
52.0%
#s(literal 1 binary64)
48.7%
#s(literal -1 binary64)
Compiler

Compiled 58 to 42 computations (27.6% saved)

regimes82.0ms (2.8%)

Counts
5 → 1
Calls
Call 1
Inputs
#s(literal -1 binary64)
#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 y x)))
(-.f64 (*.f64 #s(literal -2 binary64) (/.f64 x y)) #s(literal 1 binary64))
(/.f64 (+.f64 x y) (-.f64 x y))
Outputs
(/.f64 (+.f64 x y) (-.f64 x y))
Calls

3 calls:

75.0ms
x
5.0ms
y
2.0ms
(/.f64 (+.f64 x y) (-.f64 x y))
Results
AccuracySegmentsBranch
100.0%1x
100.0%1y
100.0%1(/.f64 (+.f64 x y) (-.f64 x y))
Compiler

Compiled 15 to 9 computations (40% saved)

regimes292.0ms (9.8%)

Counts
4 → 5
Calls
Call 1
Inputs
#s(literal -1 binary64)
#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 y x)))
(-.f64 (*.f64 #s(literal -2 binary64) (/.f64 x y)) #s(literal 1 binary64))
Outputs
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 y x)))
(-.f64 (*.f64 #s(literal -2 binary64) (/.f64 x y)) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 y x)))
(-.f64 (*.f64 #s(literal -2 binary64) (/.f64 x y)) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 y x)))
Calls

2 calls:

262.0ms
x
29.0ms
y
Results
AccuracySegmentsBranch
81.4%5x
78.1%5y
Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes200.0ms (6.7%)

Counts
3 → 5
Calls
Call 1
Inputs
#s(literal -1 binary64)
#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 y x)))
Outputs
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 y x)))
#s(literal -1 binary64)
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 y x)))
#s(literal -1 binary64)
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 y x)))
Calls

1 calls:

199.0ms
x
Results
AccuracySegmentsBranch
81.3%5x
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes19.0ms (0.6%)

Counts
2 → 5
Calls
Call 1
Inputs
#s(literal -1 binary64)
#s(literal 1 binary64)
Outputs
#s(literal 1 binary64)
#s(literal -1 binary64)
#s(literal 1 binary64)
#s(literal -1 binary64)
#s(literal 1 binary64)
Calls

1 calls:

18.0ms
x
Results
AccuracySegmentsBranch
80.8%5x
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes6.0ms (0.2%)

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts
1 → 1
Calls
Call 1
Inputs
#s(literal -1 binary64)
Outputs
#s(literal -1 binary64)
Calls

2 calls:

3.0ms
x
3.0ms
y
Results
AccuracySegmentsBranch
48.7%1y
48.7%1x
Compiler

Compiled 6 to 4 computations (33.3% saved)

bsearch62.0ms (2.1%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
narrow-enough
narrow-enough
Steps
TimeLeftRight
17.0ms
3.309102355751485e-71
1.9400827420088133e-62
16.0ms
-3.345717485328469e-89
-8.177992994587612e-93
14.0ms
-4.214757850185475e-51
-2.767477299094609e-53
15.0ms
-1.220245551315228e+19
-107572942901681780.0
Results
53.0ms495×256valid
0.0ms256valid
Compiler

Compiled 634 to 505 computations (20.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 13.0ms
Operation ival-sub, time spent: 5.0ms, 38.0% of total-time
Operation ival-div, time spent: 4.0ms, 31.0% of total-time
Operation ival-add, time spent: 4.0ms, 31.0% of total-time
Operation const, time spent: 1.0ms, 8.0% of total-time

bsearch61.0ms (2%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
narrow-enough
narrow-enough
Steps
TimeLeftRight
17.0ms
3.309102355751485e-71
1.9400827420088133e-62
16.0ms
-3.345717485328469e-89
-8.177992994587612e-93
15.0ms
-4.214757850185475e-51
-2.767477299094609e-53
13.0ms
-1.220245551315228e+19
-107572942901681780.0
Results
52.0ms495×256valid
0.0ms256valid
Compiler

Compiled 448 to 381 computations (15% saved)

Precisions
Click to see histograms. Total time spent on operations: 14.0ms
Operation ival-sub, time spent: 5.0ms, 37.0% of total-time
Operation ival-div, time spent: 4.0ms, 29.0% of total-time
Operation ival-add, time spent: 4.0ms, 29.0% of total-time
Operation const, time spent: 1.0ms, 7.0% of total-time

bsearch25.0ms (0.8%)

Algorithm
binary-search
Stop Event
predicate-same
narrow-enough
predicate-same
predicate-same
Steps
TimeLeftRight
2.0ms
3.309102355751485e-71
1.9400827420088133e-62
16.0ms
-3.345717485328469e-89
-8.177992994587612e-93
4.0ms
-4.214757850185475e-51
-2.767477299094609e-53
4.0ms
-1.220245551315228e+19
-107572942901681780.0
Results
21.0ms207×256valid
0.0ms256valid
Compiler

Compiled 118 to 113 computations (4.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 5.0ms
Operation ival-div, time spent: 2.0ms, 42.0% of total-time
Operation ival-add, time spent: 2.0ms, 42.0% of total-time
Operation ival-sub, time spent: 1.0ms, 21.0% of total-time
Operation const, time spent: 0.0ms, 0.0% of total-time

simplify16.0ms (0.5%)

Algorithm
egg-herbie
Rules
24×not-or
18×if-not
18×not-not
18×if-if-or-not
12×+-commutative
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
059347
184329
299299
3124291
4137291
5149291
6152291
7155291
Stop Event
done
saturated
Calls
Call 1
Inputs
(/.f64 (+.f64 x y) (-.f64 x y))
(if (<=.f64 x #s(literal -370000000000000000 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 y x))) (if (<=.f64 x #s(literal -6686066773453359/215679573337205118357336120696157045389097155380324579848828881993728 binary64)) (-.f64 (*.f64 #s(literal -2 binary64) (/.f64 x y)) #s(literal 1 binary64)) (if (<=.f64 x #s(literal -8366682951131781/146783911423364576743092537299333564210980159306769991919205685720763064069663027716481187399048043939495936 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 y x))) (if (<=.f64 x #s(literal 3794275180128377/118571099379011784113736688648896417641748464297615937576404566024103044751294464 binary64)) (-.f64 (*.f64 #s(literal -2 binary64) (/.f64 x y)) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 y x)))))))
(if (<=.f64 x #s(literal -1750000000000000000 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 y x))) (if (<=.f64 x #s(literal -336999333339383/210624583337114373395836055367340864637790190801098222508621955072 binary64)) #s(literal -1 binary64) (if (<=.f64 x #s(literal -4070960043382377/1146749307995035755805410447651043470398282494584140561868794419693461438044242404035009276555062843277312 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 y x))) (if (<=.f64 x #s(literal 4553130216154053/15177100720513508366558296147058741458143803430094840009779784451085189728165691392 binary64)) #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 y x)))))))
(if (<=.f64 x #s(literal -1000000000000000000 binary64)) #s(literal 1 binary64) (if (<=.f64 x #s(literal -1684996666696915/421249166674228746791672110734681729275580381602196445017243910144 binary64)) #s(literal -1 binary64) (if (<=.f64 x #s(literal -4586997231980143/1146749307995035755805410447651043470398282494584140561868794419693461438044242404035009276555062843277312 binary64)) #s(literal 1 binary64) (if (<=.f64 x #s(literal 6216540455122333/124330809102446660538845562036705210025114037699336929360115994223289874253133343883264 binary64)) #s(literal -1 binary64) #s(literal 1 binary64)))))
#s(literal -1 binary64)
Outputs
(/.f64 (+.f64 x y) (-.f64 x y))
(if (<=.f64 x #s(literal -370000000000000000 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 y x))) (if (<=.f64 x #s(literal -6686066773453359/215679573337205118357336120696157045389097155380324579848828881993728 binary64)) (-.f64 (*.f64 #s(literal -2 binary64) (/.f64 x y)) #s(literal 1 binary64)) (if (<=.f64 x #s(literal -8366682951131781/146783911423364576743092537299333564210980159306769991919205685720763064069663027716481187399048043939495936 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 y x))) (if (<=.f64 x #s(literal 3794275180128377/118571099379011784113736688648896417641748464297615937576404566024103044751294464 binary64)) (-.f64 (*.f64 #s(literal -2 binary64) (/.f64 x y)) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 y x)))))))
(if (<=.f64 x #s(literal -370000000000000000 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 y x))) (if (<=.f64 x #s(literal -6686066773453359/215679573337205118357336120696157045389097155380324579848828881993728 binary64)) (-.f64 (*.f64 #s(literal -2 binary64) (/.f64 x y)) #s(literal 1 binary64)) (if (or (<=.f64 x #s(literal -8366682951131781/146783911423364576743092537299333564210980159306769991919205685720763064069663027716481187399048043939495936 binary64)) (not (<=.f64 x #s(literal 3794275180128377/118571099379011784113736688648896417641748464297615937576404566024103044751294464 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 y x))) (-.f64 (*.f64 #s(literal -2 binary64) (/.f64 x y)) #s(literal 1 binary64)))))
(if (<=.f64 x #s(literal -370000000000000000 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 y x))) (if (or (<=.f64 x #s(literal -6686066773453359/215679573337205118357336120696157045389097155380324579848828881993728 binary64)) (not (or (<=.f64 x #s(literal -8366682951131781/146783911423364576743092537299333564210980159306769991919205685720763064069663027716481187399048043939495936 binary64)) (not (<=.f64 x #s(literal 3794275180128377/118571099379011784113736688648896417641748464297615937576404566024103044751294464 binary64)))))) (-.f64 (*.f64 #s(literal -2 binary64) (/.f64 x y)) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 y x)))))
(if (or (<=.f64 x #s(literal -370000000000000000 binary64)) (not (or (<=.f64 x #s(literal -6686066773453359/215679573337205118357336120696157045389097155380324579848828881993728 binary64)) (not (or (<=.f64 x #s(literal -8366682951131781/146783911423364576743092537299333564210980159306769991919205685720763064069663027716481187399048043939495936 binary64)) (not (<=.f64 x #s(literal 3794275180128377/118571099379011784113736688648896417641748464297615937576404566024103044751294464 binary64)))))))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 y x))) (+.f64 (*.f64 #s(literal -2 binary64) (/.f64 x y)) #s(literal -1 binary64)))
(if (or (<=.f64 x #s(literal -370000000000000000 binary64)) (not (or (<=.f64 x #s(literal -6686066773453359/215679573337205118357336120696157045389097155380324579848828881993728 binary64)) (and (not (<=.f64 x #s(literal -8366682951131781/146783911423364576743092537299333564210980159306769991919205685720763064069663027716481187399048043939495936 binary64))) (<=.f64 x #s(literal 3794275180128377/118571099379011784113736688648896417641748464297615937576404566024103044751294464 binary64)))))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 y x))) (+.f64 (*.f64 #s(literal -2 binary64) (/.f64 x y)) #s(literal -1 binary64)))
(if (<=.f64 x #s(literal -1750000000000000000 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 y x))) (if (<=.f64 x #s(literal -336999333339383/210624583337114373395836055367340864637790190801098222508621955072 binary64)) #s(literal -1 binary64) (if (<=.f64 x #s(literal -4070960043382377/1146749307995035755805410447651043470398282494584140561868794419693461438044242404035009276555062843277312 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 y x))) (if (<=.f64 x #s(literal 4553130216154053/15177100720513508366558296147058741458143803430094840009779784451085189728165691392 binary64)) #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 y x)))))))
(if (<=.f64 x #s(literal -1750000000000000000 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 y x))) (if (<=.f64 x #s(literal -336999333339383/210624583337114373395836055367340864637790190801098222508621955072 binary64)) #s(literal -1 binary64) (if (or (<=.f64 x #s(literal -4070960043382377/1146749307995035755805410447651043470398282494584140561868794419693461438044242404035009276555062843277312 binary64)) (not (<=.f64 x #s(literal 4553130216154053/15177100720513508366558296147058741458143803430094840009779784451085189728165691392 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 y x))) #s(literal -1 binary64))))
(if (or (<=.f64 x #s(literal -1750000000000000000 binary64)) (not (or (<=.f64 x #s(literal -336999333339383/210624583337114373395836055367340864637790190801098222508621955072 binary64)) (not (or (<=.f64 x #s(literal -4070960043382377/1146749307995035755805410447651043470398282494584140561868794419693461438044242404035009276555062843277312 binary64)) (not (<=.f64 x #s(literal 4553130216154053/15177100720513508366558296147058741458143803430094840009779784451085189728165691392 binary64)))))))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 y x))) #s(literal -1 binary64))
(if (or (<=.f64 x #s(literal -1750000000000000000 binary64)) (not (or (<=.f64 x #s(literal -336999333339383/210624583337114373395836055367340864637790190801098222508621955072 binary64)) (and (not (<=.f64 x #s(literal -4070960043382377/1146749307995035755805410447651043470398282494584140561868794419693461438044242404035009276555062843277312 binary64))) (<=.f64 x #s(literal 4553130216154053/15177100720513508366558296147058741458143803430094840009779784451085189728165691392 binary64)))))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 y x))) #s(literal -1 binary64))
(if (<=.f64 x #s(literal -1000000000000000000 binary64)) #s(literal 1 binary64) (if (<=.f64 x #s(literal -1684996666696915/421249166674228746791672110734681729275580381602196445017243910144 binary64)) #s(literal -1 binary64) (if (<=.f64 x #s(literal -4586997231980143/1146749307995035755805410447651043470398282494584140561868794419693461438044242404035009276555062843277312 binary64)) #s(literal 1 binary64) (if (<=.f64 x #s(literal 6216540455122333/124330809102446660538845562036705210025114037699336929360115994223289874253133343883264 binary64)) #s(literal -1 binary64) #s(literal 1 binary64)))))
#s(literal -1 binary64)
Compiler

Compiled 97 to 75 computations (22.7% saved)

soundness0.0ms (0%)

end0.0ms (0%)

preprocess73.0ms (2.5%)

Compiler

Compiled 226 to 158 computations (30.1% saved)

Profiling

Loading profile data...