Diagrams.Solve.Polynomial:cubForm from diagrams-solve-0.1, C

Time bar (total: 2.9s)

analyze15.0ms (0.5%)

Algorithm
1×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 8 to 6 computations (25% saved)

Precisions
Click to see histograms. Total time spent on operations: 3.0ms
ival-mult: 2.0ms (64.8% of total)
ival-div: 1.0ms (32.4% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

sample620.0ms (21.4%)

Results
445.0ms8256×0valid
Precisions
Click to see histograms. Total time spent on operations: 172.0ms
ival-mult: 86.0ms (49.9% of total)
ival-div: 71.0ms (41.2% of total)
const: 12.0ms (7% of total)
backward-pass: 3.0ms (1.7% of total)
Bogosity

preprocess458.0ms (15.8%)

Algorithm
1×egg-herbie
Rules
564×fma-define
258×times-frac
165×associate-*l*
159×fma-neg
151×associate-*r*
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
020141
148133
2110133
3337133
41010133
51741133
62336133
72535133
82589133
92669133
Stop Event
1×saturated
Calls
Call 1
Inputs
(/.f64 x (*.f64 y #s(literal 3 binary64)))
(/.f64 x (*.f64 y #s(literal 3 binary64)))
(/.f64 (neg.f64 x) (*.f64 y #s(literal 3 binary64)))
(/.f64 x (*.f64 (neg.f64 y) #s(literal 3 binary64)))
(neg.f64 (/.f64 (neg.f64 x) (*.f64 y #s(literal 3 binary64))))
(neg.f64 (/.f64 x (*.f64 (neg.f64 y) #s(literal 3 binary64))))
(/.f64 y (*.f64 x #s(literal 3 binary64)))
Outputs
(/.f64 x (*.f64 y #s(literal 3 binary64)))
(*.f64 x (/.f64 #s(literal 1/3 binary64) y))
(/.f64 x (*.f64 y #s(literal 3 binary64)))
(*.f64 x (/.f64 #s(literal 1/3 binary64) y))
(/.f64 (neg.f64 x) (*.f64 y #s(literal 3 binary64)))
(*.f64 #s(literal -1/3 binary64) (/.f64 x y))
(/.f64 x (*.f64 y #s(literal -3 binary64)))
(*.f64 x (/.f64 #s(literal -1/3 binary64) y))
(/.f64 x (*.f64 (neg.f64 y) #s(literal 3 binary64)))
(/.f64 (neg.f64 x) (*.f64 y #s(literal 3 binary64)))
(*.f64 #s(literal -1/3 binary64) (/.f64 x y))
(/.f64 x (*.f64 y #s(literal -3 binary64)))
(*.f64 x (/.f64 #s(literal -1/3 binary64) y))
(neg.f64 (/.f64 (neg.f64 x) (*.f64 y #s(literal 3 binary64))))
(/.f64 x (*.f64 y #s(literal 3 binary64)))
(*.f64 x (/.f64 #s(literal 1/3 binary64) y))
(neg.f64 (/.f64 x (*.f64 (neg.f64 y) #s(literal 3 binary64))))
(/.f64 x (*.f64 y #s(literal 3 binary64)))
(*.f64 x (/.f64 #s(literal 1/3 binary64) y))
(/.f64 y (*.f64 x #s(literal 3 binary64)))
(*.f64 (/.f64 y x) #s(literal 1/3 binary64))
(*.f64 y (/.f64 #s(literal 1/3 binary64) x))
Symmetry

(negabs x)

(negabs y)

explain52.0ms (1.8%)

FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
10-0-(/.f64 x (*.f64 y #s(literal 3 binary64)))
00-0-x
00-0-#s(literal 3 binary64)
00-0-y
00-0-(*.f64 y #s(literal 3 binary64))
Results
29.0ms512×0valid
Compiler

Compiled 35 to 17 computations (51.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 12.0ms
ival-mult: 7.0ms (58.9% of total)
ival-div: 4.0ms (33.7% of total)
const: 1.0ms (8.4% of total)
backward-pass: 0.0ms (0% of total)

eval0.0ms (0%)

Compiler

Compiled 7 to 5 computations (28.6% saved)

prune1.0ms (0%)

Alt Table
Click to see full alt table
StatusAccuracyProgram
▶99.3%
(/.f64 x (*.f64 y #s(literal 3 binary64)))
▶99.5%
(*.f64 x (/.f64 #s(literal 1/3 binary64) y))
Compiler

Compiled 14 to 10 computations (28.6% saved)

simplify7.0ms (0.3%)

Algorithm
1×egg-herbie
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(*.f64 y #s(literal 3 binary64))
✓cost-diff0
(/.f64 x (*.f64 y #s(literal 3 binary64)))
✓cost-diff0
(/.f64 #s(literal 1/3 binary64) y)
✓cost-diff0
(*.f64 x (/.f64 #s(literal 1/3 binary64) y))
Rules
4×*-commutative
2×associate-/r*
1×associate-/l*
1×associate-*l/
1×associate-*r/
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01376
11976
22376
32476
42576
Stop Event
1×saturated
Calls
Call 1
Inputs
(*.f64 x (/.f64 #s(literal 1/3 binary64) y))
x
(/.f64 #s(literal 1/3 binary64) y)
#s(literal 1/3 binary64)
y
(/.f64 x (*.f64 y #s(literal 3 binary64)))
x
(*.f64 y #s(literal 3 binary64))
y
#s(literal 3 binary64)
Outputs
(*.f64 x (/.f64 #s(literal 1/3 binary64) y))
(*.f64 #s(literal 1/3 binary64) (/.f64 x y))
x
(/.f64 #s(literal 1/3 binary64) y)
#s(literal 1/3 binary64)
y
(/.f64 x (*.f64 y #s(literal 3 binary64)))
(/.f64 (/.f64 x y) #s(literal 3 binary64))
x
(*.f64 y #s(literal 3 binary64))
y
#s(literal 3 binary64)

localize35.0ms (1.2%)

Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(*.f64 y #s(literal 3 binary64))
✓accuracy99.3%
(/.f64 x (*.f64 y #s(literal 3 binary64)))
✓accuracy99.7%
(*.f64 x (/.f64 #s(literal 1/3 binary64) y))
✓accuracy99.4%
(/.f64 #s(literal 1/3 binary64) y)
Results
26.0ms256×0valid
Compiler

Compiled 25 to 9 computations (64% saved)

Precisions
Click to see histograms. Total time spent on operations: 12.0ms
ival-div: 4.0ms (33.3% of total)
ival-mult: 4.0ms (33.3% of total)
...c/correct-round.rkt:119:19: 4.0ms (33.3% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

series10.0ms (0.4%)

Counts
4 → 60
Calls
Call 1
Inputs
#<alt (*.f64 x (/.f64 #s(literal 1/3 binary64) y))>
#<alt (/.f64 #s(literal 1/3 binary64) y)>
#<alt (/.f64 x (*.f64 y #s(literal 3 binary64)))>
#<alt (*.f64 y #s(literal 3 binary64))>
Outputs
#<alt (*.f64 #s(literal 1/3 binary64) (/.f64 x y))>
#<alt (*.f64 #s(literal 1/3 binary64) (/.f64 x y))>
#<alt (*.f64 #s(literal 1/3 binary64) (/.f64 x y))>
#<alt (*.f64 #s(literal 1/3 binary64) (/.f64 x y))>
#<alt (*.f64 #s(literal 1/3 binary64) (/.f64 x y))>
#<alt (*.f64 #s(literal 1/3 binary64) (/.f64 x y))>
#<alt (*.f64 #s(literal 1/3 binary64) (/.f64 x y))>
#<alt (*.f64 #s(literal 1/3 binary64) (/.f64 x y))>
#<alt (*.f64 #s(literal 1/3 binary64) (/.f64 x y))>
#<alt (*.f64 #s(literal 1/3 binary64) (/.f64 x y))>
#<alt (*.f64 #s(literal 1/3 binary64) (/.f64 x y))>
#<alt (*.f64 #s(literal 1/3 binary64) (/.f64 x y))>
#<alt (*.f64 #s(literal 1/3 binary64) (/.f64 x y))>
#<alt (*.f64 #s(literal 1/3 binary64) (/.f64 x y))>
#<alt (*.f64 #s(literal 1/3 binary64) (/.f64 x y))>
#<alt (*.f64 #s(literal 1/3 binary64) (/.f64 x y))>
#<alt (*.f64 #s(literal 1/3 binary64) (/.f64 x y))>
#<alt (*.f64 #s(literal 1/3 binary64) (/.f64 x y))>
#<alt (*.f64 #s(literal 1/3 binary64) (/.f64 x y))>
#<alt (*.f64 #s(literal 1/3 binary64) (/.f64 x y))>
#<alt (*.f64 #s(literal 1/3 binary64) (/.f64 x y))>
#<alt (*.f64 #s(literal 1/3 binary64) (/.f64 x y))>
#<alt (*.f64 #s(literal 1/3 binary64) (/.f64 x y))>
#<alt (*.f64 #s(literal 1/3 binary64) (/.f64 x y))>
#<alt (*.f64 #s(literal 1/3 binary64) (/.f64 x y))>
#<alt (*.f64 #s(literal 1/3 binary64) (/.f64 x y))>
#<alt (*.f64 #s(literal 1/3 binary64) (/.f64 x y))>
#<alt (*.f64 #s(literal 1/3 binary64) (/.f64 x y))>
#<alt (*.f64 #s(literal 1/3 binary64) (/.f64 x y))>
#<alt (*.f64 #s(literal 1/3 binary64) (/.f64 x y))>
#<alt (*.f64 #s(literal 1/3 binary64) (/.f64 x y))>
#<alt (*.f64 #s(literal 1/3 binary64) (/.f64 x y))>
#<alt (*.f64 #s(literal 1/3 binary64) (/.f64 x y))>
#<alt (*.f64 #s(literal 1/3 binary64) (/.f64 x y))>
#<alt (*.f64 #s(literal 1/3 binary64) (/.f64 x y))>
#<alt (*.f64 #s(literal 1/3 binary64) (/.f64 x y))>
#<alt (*.f64 #s(literal 1/3 binary64) (/.f64 x y))>
#<alt (*.f64 #s(literal 1/3 binary64) (/.f64 x y))>
#<alt (*.f64 #s(literal 1/3 binary64) (/.f64 x y))>
#<alt (*.f64 #s(literal 1/3 binary64) (/.f64 x y))>
#<alt (*.f64 #s(literal 1/3 binary64) (/.f64 x y))>
#<alt (*.f64 #s(literal 1/3 binary64) (/.f64 x y))>
#<alt (*.f64 #s(literal 1/3 binary64) (/.f64 x y))>
#<alt (*.f64 #s(literal 1/3 binary64) (/.f64 x y))>
#<alt (*.f64 #s(literal 1/3 binary64) (/.f64 x y))>
#<alt (*.f64 #s(literal 1/3 binary64) (/.f64 x y))>
#<alt (*.f64 #s(literal 1/3 binary64) (/.f64 x y))>
#<alt (*.f64 #s(literal 1/3 binary64) (/.f64 x y))>
#<alt (*.f64 #s(literal 3 binary64) y)>
#<alt (*.f64 #s(literal 3 binary64) y)>
#<alt (*.f64 #s(literal 3 binary64) y)>
#<alt (*.f64 #s(literal 3 binary64) y)>
#<alt (*.f64 #s(literal 3 binary64) y)>
#<alt (*.f64 #s(literal 3 binary64) y)>
#<alt (*.f64 #s(literal 3 binary64) y)>
#<alt (*.f64 #s(literal 3 binary64) y)>
#<alt (*.f64 #s(literal 3 binary64) y)>
#<alt (*.f64 #s(literal 3 binary64) y)>
#<alt (*.f64 #s(literal 3 binary64) y)>
#<alt (*.f64 #s(literal 3 binary64) y)>
Calls

18 calls:

TimeVariablePointExpression
2.0ms
x
@0
(* x (/ 1/3 y))
1.0ms
y
@0
(* y 3)
1.0ms
y
@0
(* x (/ 1/3 y))
1.0ms
x
@inf
(* x (/ 1/3 y))
1.0ms
y
@inf
(* x (/ 1/3 y))

rewrite213.0ms (7.3%)

Algorithm
1×batch-egg-rewrite
Rules
650×unpow-prod-down
645×log1p-expm1-u
645×expm1-log1p-u
371×log-prod
196×pow-prod-down
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01358
114458
2204658
Stop Event
1×node limit
Counts
4 → 244
Calls
Call 1
Inputs
(*.f64 x (/.f64 #s(literal 1/3 binary64) y))
(/.f64 #s(literal 1/3 binary64) y)
(/.f64 x (*.f64 y #s(literal 3 binary64)))
(*.f64 y #s(literal 3 binary64))
Outputs
(+.f64 #s(literal 0 binary64) (*.f64 x (/.f64 #s(literal 1/3 binary64) y)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (exp.f64 (/.f64 x y)))) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (cbrt.f64 (exp.f64 (/.f64 x y))))))
(+.f64 (log.f64 (sqrt.f64 (cbrt.f64 (exp.f64 (/.f64 x y))))) (log.f64 (sqrt.f64 (cbrt.f64 (exp.f64 (/.f64 x y))))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (/.f64 #s(literal 1/3 binary64) y)))) #s(literal 1 binary64))
(/.f64 x (*.f64 y #s(literal 3 binary64)))
(/.f64 #s(literal 1 binary64) (*.f64 y (/.f64 #s(literal 3 binary64) x)))
(/.f64 #s(literal 1 binary64) (/.f64 y (*.f64 x #s(literal 1/3 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 y (/.f64 #s(literal 3 binary64) x)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 3 binary64) (/.f64 x y)))
(/.f64 (neg.f64 x) (*.f64 y #s(literal -3 binary64)))
(/.f64 (*.f64 x #s(literal 1/3 binary64)) y)
(/.f64 (/.f64 x y) #s(literal 3 binary64))
(/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 y (/.f64 #s(literal 3 binary64) x))))
(/.f64 (neg.f64 (*.f64 x #s(literal 1/3 binary64))) (neg.f64 y))
(/.f64 (neg.f64 (neg.f64 x)) (neg.f64 (*.f64 y #s(literal -3 binary64))))
(/.f64 (neg.f64 (/.f64 x y)) #s(literal -3 binary64))
(/.f64 (/.f64 x #s(literal 1 binary64)) (*.f64 y #s(literal 3 binary64)))
(/.f64 (/.f64 x #s(literal 3 binary64)) y)
(/.f64 (/.f64 x (sqrt.f64 (*.f64 y #s(literal 3 binary64)))) (sqrt.f64 (*.f64 y #s(literal 3 binary64))))
(/.f64 (*.f64 x #s(literal -1/3 binary64)) (neg.f64 y))
(/.f64 (*.f64 #s(literal -1/3 binary64) x) (neg.f64 y))
(/.f64 (/.f64 (*.f64 x #s(literal 1/3 binary64)) #s(literal 1 binary64)) y)
(/.f64 (/.f64 (*.f64 x #s(literal 1/3 binary64)) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (cbrt.f64 y))
(/.f64 (/.f64 (*.f64 x #s(literal 1/3 binary64)) (sqrt.f64 y)) (sqrt.f64 y))
(/.f64 (/.f64 x (pow.f64 (cbrt.f64 (*.f64 y #s(literal 3 binary64))) #s(literal 2 binary64))) (cbrt.f64 (*.f64 y #s(literal 3 binary64))))
(pow.f64 (*.f64 x (/.f64 #s(literal 1/3 binary64) y)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 x (/.f64 #s(literal 1/3 binary64) y))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 y (/.f64 #s(literal 3 binary64) x)) #s(literal -2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (*.f64 x (/.f64 #s(literal 1/3 binary64) y)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 x (/.f64 #s(literal 1/3 binary64) y))) #s(literal 2 binary64))
(pow.f64 (*.f64 y (/.f64 #s(literal 3 binary64) x)) #s(literal -1 binary64))
(pow.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (*.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 27 binary64))) #s(literal 1/3 binary64))
(pow.f64 (/.f64 y (*.f64 x #s(literal 1/3 binary64))) #s(literal -1 binary64))
(pow.f64 (/.f64 (*.f64 y (/.f64 #s(literal 3 binary64) x)) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 #s(literal 3 binary64) (/.f64 x y)) #s(literal -1 binary64))
(neg.f64 (/.f64 x (*.f64 y #s(literal -3 binary64))))
(neg.f64 (/.f64 (neg.f64 x) (*.f64 y #s(literal 3 binary64))))
(sqrt.f64 (pow.f64 (*.f64 y (/.f64 #s(literal 3 binary64) x)) #s(literal -2 binary64)))
(log.f64 (cbrt.f64 (exp.f64 (/.f64 x y))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x (/.f64 #s(literal 1/3 binary64) y)))))
(cbrt.f64 (pow.f64 (*.f64 x (/.f64 #s(literal 1/3 binary64) y)) #s(literal 3 binary64)))
(cbrt.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (*.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 27 binary64))))
(expm1.f64 (log1p.f64 (*.f64 x (/.f64 #s(literal 1/3 binary64) y))))
(log1p.f64 (expm1.f64 (*.f64 x (/.f64 #s(literal 1/3 binary64) y))))
(exp.f64 (log.f64 (*.f64 x (/.f64 #s(literal 1/3 binary64) y))))
(exp.f64 (*.f64 (log.f64 (*.f64 x (/.f64 #s(literal 1/3 binary64) y))) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 x (/.f64 #s(literal 1/3 binary64) y)))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 3 binary64) (log.f64 (*.f64 x (/.f64 #s(literal 1/3 binary64) y)))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 x (/.f64 #s(literal 1/3 binary64) y)))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (*.f64 y (/.f64 #s(literal 3 binary64) x))) #s(literal -1 binary64)))
(exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 x (/.f64 #s(literal 1/3 binary64) y))) #s(literal 1 binary64)) #s(literal 1 binary64)))
(+.f64 #s(literal 0 binary64) (/.f64 #s(literal 1/3 binary64) y))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 #s(literal 1/3 binary64) y))) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 #s(literal 1/3 binary64) y)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 #s(literal 1/3 binary64) y)))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 #s(literal 1/3 binary64) y)))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 #s(literal 1/3 binary64) y))) #s(literal 1 binary64))
(*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) y))
(*.f64 (/.f64 #s(literal 1/3 binary64) y) #s(literal 1 binary64))
(*.f64 (/.f64 #s(literal 1/3 binary64) y) (log.f64 (exp.f64 #s(literal 1 binary64))))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) y))
(*.f64 (cbrt.f64 (/.f64 #s(literal 1/3 binary64) y)) (pow.f64 (cbrt.f64 (/.f64 #s(literal 1/3 binary64) y)) #s(literal 2 binary64)))
(*.f64 (cbrt.f64 (/.f64 #s(literal 1/3 binary64) y)) (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 (*.f64 y #s(literal 3 binary64))) #s(literal 2 binary64))))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 #s(literal 1/3 binary64) y)) #s(literal 2 binary64)) (cbrt.f64 (/.f64 #s(literal 1/3 binary64) y)))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1/3 binary64) y)) (sqrt.f64 (/.f64 #s(literal 1/3 binary64) y)))
(*.f64 #s(literal -1/3 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 y)))
(*.f64 #s(literal -1/3 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) (neg.f64 y)) #s(literal 1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1/3 binary64))
(*.f64 (/.f64 #s(literal 1 binary64) y) (log.f64 (exp.f64 #s(literal 1/3 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (pow.f64 (*.f64 (cbrt.f64 y) #s(literal 3 binary64)) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (pow.f64 (/.f64 (cbrt.f64 y) #s(literal 1/3 binary64)) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 y)) (pow.f64 (*.f64 (sqrt.f64 y) #s(literal 3 binary64)) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 y)) (pow.f64 (/.f64 (sqrt.f64 y) #s(literal 1/3 binary64)) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 (*.f64 y #s(literal 3 binary64))) #s(literal 2 binary64))) (cbrt.f64 (/.f64 #s(literal 1/3 binary64) y)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/3 binary64)) (/.f64 #s(literal 1/3 binary64) y))
(*.f64 (pow.f64 (*.f64 #s(literal 3 binary64) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) #s(literal -1 binary64)) (pow.f64 (cbrt.f64 y) #s(literal -1 binary64)))
(*.f64 (pow.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 y)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (sqrt.f64 y)))
(*.f64 (pow.f64 (cbrt.f64 #s(literal 1/3 binary64)) #s(literal 3 binary64)) (/.f64 #s(literal 1 binary64) y))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 #s(literal 1/3 binary64) y))) #s(literal 2 binary64)) #s(literal 3 binary64)) (cbrt.f64 (/.f64 #s(literal 1/3 binary64) y)))
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(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 x (/.f64 #s(literal 1/3 binary64) y)))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 3 binary64) (log.f64 (*.f64 x (/.f64 #s(literal 1/3 binary64) y)))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 x (/.f64 #s(literal 1/3 binary64) y)))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (*.f64 y (/.f64 #s(literal 3 binary64) x))) #s(literal -1 binary64)))
(exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 x (/.f64 #s(literal 1/3 binary64) y))) #s(literal 1 binary64)) #s(literal 1 binary64)))
(+.f64 #s(literal 0 binary64) (*.f64 y #s(literal 3 binary64)))
(+.f64 (log.f64 (pow.f64 (exp.f64 y) #s(literal 2 binary64))) y)
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 #s(literal 3 binary64)) y))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 #s(literal 3 binary64)) y))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 y #s(literal 3 binary64)))) #s(literal 1 binary64))
(/.f64 y #s(literal 1/3 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) y))
(/.f64 (neg.f64 y) #s(literal -1/3 binary64))
(pow.f64 (/.f64 #s(literal 1/3 binary64) y) #s(literal -1 binary64))
(pow.f64 (*.f64 y #s(literal 3 binary64)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 y #s(literal 3 binary64))) #s(literal 3 binary64))
(pow.f64 (*.f64 (pow.f64 y #s(literal 2 binary64)) #s(literal 9 binary64)) #s(literal 1/2 binary64))
(pow.f64 (*.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 27 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 y #s(literal 3 binary64))) #s(literal 2 binary64))
(sqrt.f64 (*.f64 (pow.f64 y #s(literal 2 binary64)) #s(literal 9 binary64)))
(log.f64 (pow.f64 (exp.f64 #s(literal 3 binary64)) y))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 y #s(literal 3 binary64)))))
(cbrt.f64 (*.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 27 binary64)))
(expm1.f64 (log1p.f64 (*.f64 y #s(literal 3 binary64))))
(log1p.f64 (expm1.f64 (*.f64 y #s(literal 3 binary64))))
(exp.f64 (log.f64 (*.f64 y #s(literal 3 binary64))))
(exp.f64 (*.f64 (log.f64 (*.f64 y #s(literal 3 binary64))) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 y #s(literal 3 binary64)))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 3 binary64) (log.f64 (*.f64 y #s(literal 3 binary64)))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 y #s(literal 3 binary64)))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 y #s(literal 3 binary64))) #s(literal 1 binary64)) #s(literal 1 binary64)))

simplify125.0ms (4.3%)

Algorithm
1×egg-herbie
Rules
370×distribute-lft-neg-out
288×exp-prod
285×distribute-rgt-neg-out
280×distribute-lft-in
258×cube-prod
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
05204294974045
19764294973904
232194294973785
Stop Event
1×node limit
Counts
304 → 297
Calls
Call 1
Inputs
(*.f64 #s(literal 1/3 binary64) (/.f64 x y))
(*.f64 #s(literal 1/3 binary64) (/.f64 x y))
(*.f64 #s(literal 1/3 binary64) (/.f64 x y))
(*.f64 #s(literal 1/3 binary64) (/.f64 x y))
(*.f64 #s(literal 1/3 binary64) (/.f64 x y))
(*.f64 #s(literal 1/3 binary64) (/.f64 x y))
(*.f64 #s(literal 1/3 binary64) (/.f64 x y))
(*.f64 #s(literal 1/3 binary64) (/.f64 x y))
(*.f64 #s(literal 1/3 binary64) (/.f64 x y))
(*.f64 #s(literal 1/3 binary64) (/.f64 x y))
(*.f64 #s(literal 1/3 binary64) (/.f64 x y))
(*.f64 #s(literal 1/3 binary64) (/.f64 x y))
(*.f64 #s(literal 1/3 binary64) (/.f64 x y))
(*.f64 #s(literal 1/3 binary64) (/.f64 x y))
(*.f64 #s(literal 1/3 binary64) (/.f64 x y))
(*.f64 #s(literal 1/3 binary64) (/.f64 x y))
(*.f64 #s(literal 1/3 binary64) (/.f64 x y))
(*.f64 #s(literal 1/3 binary64) (/.f64 x y))
(*.f64 #s(literal 1/3 binary64) (/.f64 x y))
(*.f64 #s(literal 1/3 binary64) (/.f64 x y))
(*.f64 #s(literal 1/3 binary64) (/.f64 x y))
(*.f64 #s(literal 1/3 binary64) (/.f64 x y))
(*.f64 #s(literal 1/3 binary64) (/.f64 x y))
(*.f64 #s(literal 1/3 binary64) (/.f64 x y))
(*.f64 #s(literal 1/3 binary64) (/.f64 x y))
(*.f64 #s(literal 1/3 binary64) (/.f64 x y))
(*.f64 #s(literal 1/3 binary64) (/.f64 x y))
(*.f64 #s(literal 1/3 binary64) (/.f64 x y))
(*.f64 #s(literal 1/3 binary64) (/.f64 x y))
(*.f64 #s(literal 1/3 binary64) (/.f64 x y))
(*.f64 #s(literal 1/3 binary64) (/.f64 x y))
(*.f64 #s(literal 1/3 binary64) (/.f64 x y))
(*.f64 #s(literal 1/3 binary64) (/.f64 x y))
(*.f64 #s(literal 1/3 binary64) (/.f64 x y))
(*.f64 #s(literal 1/3 binary64) (/.f64 x y))
(*.f64 #s(literal 1/3 binary64) (/.f64 x y))
(*.f64 #s(literal 1/3 binary64) (/.f64 x y))
(*.f64 #s(literal 1/3 binary64) (/.f64 x y))
(*.f64 #s(literal 1/3 binary64) (/.f64 x y))
(*.f64 #s(literal 1/3 binary64) (/.f64 x y))
(*.f64 #s(literal 1/3 binary64) (/.f64 x y))
(*.f64 #s(literal 1/3 binary64) (/.f64 x y))
(*.f64 #s(literal 1/3 binary64) (/.f64 x y))
(*.f64 #s(literal 1/3 binary64) (/.f64 x y))
(*.f64 #s(literal 1/3 binary64) (/.f64 x y))
(*.f64 #s(literal 1/3 binary64) (/.f64 x y))
(*.f64 #s(literal 1/3 binary64) (/.f64 x y))
(*.f64 #s(literal 1/3 binary64) (/.f64 x y))
(*.f64 #s(literal 3 binary64) y)
(*.f64 #s(literal 3 binary64) y)
(*.f64 #s(literal 3 binary64) y)
(*.f64 #s(literal 3 binary64) y)
(*.f64 #s(literal 3 binary64) y)
(*.f64 #s(literal 3 binary64) y)
(*.f64 #s(literal 3 binary64) y)
(*.f64 #s(literal 3 binary64) y)
(*.f64 #s(literal 3 binary64) y)
(*.f64 #s(literal 3 binary64) y)
(*.f64 #s(literal 3 binary64) y)
(*.f64 #s(literal 3 binary64) y)
(+.f64 #s(literal 0 binary64) (*.f64 x (/.f64 #s(literal 1/3 binary64) y)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (exp.f64 (/.f64 x y)))) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (cbrt.f64 (exp.f64 (/.f64 x y))))))
(+.f64 (log.f64 (sqrt.f64 (cbrt.f64 (exp.f64 (/.f64 x y))))) (log.f64 (sqrt.f64 (cbrt.f64 (exp.f64 (/.f64 x y))))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (/.f64 #s(literal 1/3 binary64) y)))) #s(literal 1 binary64))
(/.f64 x (*.f64 y #s(literal 3 binary64)))
(/.f64 #s(literal 1 binary64) (*.f64 y (/.f64 #s(literal 3 binary64) x)))
(/.f64 #s(literal 1 binary64) (/.f64 y (*.f64 x #s(literal 1/3 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 y (/.f64 #s(literal 3 binary64) x)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 3 binary64) (/.f64 x y)))
(/.f64 (neg.f64 x) (*.f64 y #s(literal -3 binary64)))
(/.f64 (*.f64 x #s(literal 1/3 binary64)) y)
(/.f64 (/.f64 x y) #s(literal 3 binary64))
(/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 y (/.f64 #s(literal 3 binary64) x))))
(/.f64 (neg.f64 (*.f64 x #s(literal 1/3 binary64))) (neg.f64 y))
(/.f64 (neg.f64 (neg.f64 x)) (neg.f64 (*.f64 y #s(literal -3 binary64))))
(/.f64 (neg.f64 (/.f64 x y)) #s(literal -3 binary64))
(/.f64 (/.f64 x #s(literal 1 binary64)) (*.f64 y #s(literal 3 binary64)))
(/.f64 (/.f64 x #s(literal 3 binary64)) y)
(/.f64 (/.f64 x (sqrt.f64 (*.f64 y #s(literal 3 binary64)))) (sqrt.f64 (*.f64 y #s(literal 3 binary64))))
(/.f64 (*.f64 x #s(literal -1/3 binary64)) (neg.f64 y))
(/.f64 (*.f64 #s(literal -1/3 binary64) x) (neg.f64 y))
(/.f64 (/.f64 (*.f64 x #s(literal 1/3 binary64)) #s(literal 1 binary64)) y)
(/.f64 (/.f64 (*.f64 x #s(literal 1/3 binary64)) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (cbrt.f64 y))
(/.f64 (/.f64 (*.f64 x #s(literal 1/3 binary64)) (sqrt.f64 y)) (sqrt.f64 y))
(/.f64 (/.f64 x (pow.f64 (cbrt.f64 (*.f64 y #s(literal 3 binary64))) #s(literal 2 binary64))) (cbrt.f64 (*.f64 y #s(literal 3 binary64))))
(pow.f64 (*.f64 x (/.f64 #s(literal 1/3 binary64) y)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 x (/.f64 #s(literal 1/3 binary64) y))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 y (/.f64 #s(literal 3 binary64) x)) #s(literal -2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (*.f64 x (/.f64 #s(literal 1/3 binary64) y)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 x (/.f64 #s(literal 1/3 binary64) y))) #s(literal 2 binary64))
(pow.f64 (*.f64 y (/.f64 #s(literal 3 binary64) x)) #s(literal -1 binary64))
(pow.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (*.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 27 binary64))) #s(literal 1/3 binary64))
(pow.f64 (/.f64 y (*.f64 x #s(literal 1/3 binary64))) #s(literal -1 binary64))
(pow.f64 (/.f64 (*.f64 y (/.f64 #s(literal 3 binary64) x)) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 #s(literal 3 binary64) (/.f64 x y)) #s(literal -1 binary64))
(neg.f64 (/.f64 x (*.f64 y #s(literal -3 binary64))))
(neg.f64 (/.f64 (neg.f64 x) (*.f64 y #s(literal 3 binary64))))
(sqrt.f64 (pow.f64 (*.f64 y (/.f64 #s(literal 3 binary64) x)) #s(literal -2 binary64)))
(log.f64 (cbrt.f64 (exp.f64 (/.f64 x y))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x (/.f64 #s(literal 1/3 binary64) y)))))
(cbrt.f64 (pow.f64 (*.f64 x (/.f64 #s(literal 1/3 binary64) y)) #s(literal 3 binary64)))
(cbrt.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (*.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 27 binary64))))
(expm1.f64 (log1p.f64 (*.f64 x (/.f64 #s(literal 1/3 binary64) y))))
(log1p.f64 (expm1.f64 (*.f64 x (/.f64 #s(literal 1/3 binary64) y))))
(exp.f64 (log.f64 (*.f64 x (/.f64 #s(literal 1/3 binary64) y))))
(exp.f64 (*.f64 (log.f64 (*.f64 x (/.f64 #s(literal 1/3 binary64) y))) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 x (/.f64 #s(literal 1/3 binary64) y)))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 3 binary64) (log.f64 (*.f64 x (/.f64 #s(literal 1/3 binary64) y)))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 x (/.f64 #s(literal 1/3 binary64) y)))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (*.f64 y (/.f64 #s(literal 3 binary64) x))) #s(literal -1 binary64)))
(exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 x (/.f64 #s(literal 1/3 binary64) y))) #s(literal 1 binary64)) #s(literal 1 binary64)))
(+.f64 #s(literal 0 binary64) (/.f64 #s(literal 1/3 binary64) y))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 #s(literal 1/3 binary64) y))) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 #s(literal 1/3 binary64) y)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 #s(literal 1/3 binary64) y)))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 #s(literal 1/3 binary64) y)))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 #s(literal 1/3 binary64) y))) #s(literal 1 binary64))
(*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) y))
(*.f64 (/.f64 #s(literal 1/3 binary64) y) #s(literal 1 binary64))
(*.f64 (/.f64 #s(literal 1/3 binary64) y) (log.f64 (exp.f64 #s(literal 1 binary64))))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) y))
(*.f64 (cbrt.f64 (/.f64 #s(literal 1/3 binary64) y)) (pow.f64 (cbrt.f64 (/.f64 #s(literal 1/3 binary64) y)) #s(literal 2 binary64)))
(*.f64 (cbrt.f64 (/.f64 #s(literal 1/3 binary64) y)) (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 (*.f64 y #s(literal 3 binary64))) #s(literal 2 binary64))))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 #s(literal 1/3 binary64) y)) #s(literal 2 binary64)) (cbrt.f64 (/.f64 #s(literal 1/3 binary64) y)))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1/3 binary64) y)) (sqrt.f64 (/.f64 #s(literal 1/3 binary64) y)))
(*.f64 #s(literal -1/3 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 y)))
(*.f64 #s(literal -1/3 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) (neg.f64 y)) #s(literal 1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1/3 binary64))
(*.f64 (/.f64 #s(literal 1 binary64) y) (log.f64 (exp.f64 #s(literal 1/3 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (pow.f64 (*.f64 (cbrt.f64 y) #s(literal 3 binary64)) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (pow.f64 (/.f64 (cbrt.f64 y) #s(literal 1/3 binary64)) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 y)) (pow.f64 (*.f64 (sqrt.f64 y) #s(literal 3 binary64)) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 y)) (pow.f64 (/.f64 (sqrt.f64 y) #s(literal 1/3 binary64)) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 (*.f64 y #s(literal 3 binary64))) #s(literal 2 binary64))) (cbrt.f64 (/.f64 #s(literal 1/3 binary64) y)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/3 binary64)) (/.f64 #s(literal 1/3 binary64) y))
(*.f64 (pow.f64 (*.f64 #s(literal 3 binary64) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) #s(literal -1 binary64)) (pow.f64 (cbrt.f64 y) #s(literal -1 binary64)))
(*.f64 (pow.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 y)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (sqrt.f64 y)))
(*.f64 (pow.f64 (cbrt.f64 #s(literal 1/3 binary64)) #s(literal 3 binary64)) (/.f64 #s(literal 1 binary64) y))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 #s(literal 1/3 binary64) y))) #s(literal 2 binary64)) #s(literal 3 binary64)) (cbrt.f64 (/.f64 #s(literal 1/3 binary64) y)))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (/.f64 #s(literal 1/3 binary64) y))) #s(literal 3 binary64)) (pow.f64 (sqrt.f64 (cbrt.f64 (/.f64 #s(literal 1/3 binary64) y))) #s(literal 3 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (/.f64 #s(literal 1/3 binary64) y) #s(literal 3 binary64))) #s(literal 1/3 binary64)) (pow.f64 (sqrt.f64 (pow.f64 (/.f64 #s(literal 1/3 binary64) y) #s(literal 3 binary64))) #s(literal 1/3 binary64)))
(*.f64 (pow.f64 (*.f64 (/.f64 #s(literal 1/9 binary64) (pow.f64 y #s(literal 2 binary64))) #s(literal 1/3 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (/.f64 #s(literal 1 binary64) y)))
(*.f64 (pow.f64 (pow.f64 (*.f64 (/.f64 #s(literal 1/3 binary64) y) (cbrt.f64 (/.f64 #s(literal 1/3 binary64) y))) #s(literal 2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (cbrt.f64 (/.f64 #s(literal 1/3 binary64) y))))
(*.f64 (pow.f64 (*.f64 (/.f64 #s(literal 1/9 binary64) (pow.f64 y #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1/3 binary64) y))) #s(literal 1/3 binary64)) (cbrt.f64 (sqrt.f64 (/.f64 #s(literal 1/3 binary64) y))))
(*.f64 (pow.f64 (sqrt.f64 #s(literal 1/3 binary64)) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) y))
(pow.f64 (/.f64 #s(literal 1/3 binary64) y) #s(literal 1 binary64))
(pow.f64 (*.f64 y #s(literal 3 binary64)) #s(literal -1 binary64))
(pow.f64 (cbrt.f64 (/.f64 #s(literal 1/3 binary64) y)) #s(literal 3 binary64))
(pow.f64 (cbrt.f64 (*.f64 y #s(literal 3 binary64))) #s(literal -3 binary64))
(pow.f64 (/.f64 #s(literal 1/9 binary64) (pow.f64 y #s(literal 2 binary64))) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (/.f64 #s(literal 1/3 binary64) y) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (*.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 27 binary64)) #s(literal -1/3 binary64))
(pow.f64 (sqrt.f64 (/.f64 #s(literal 1/3 binary64) y)) #s(literal 2 binary64))
(pow.f64 (sqrt.f64 (*.f64 y #s(literal 3 binary64))) #s(literal -2 binary64))
(pow.f64 (/.f64 (*.f64 y #s(literal 3 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))
(neg.f64 (/.f64 #s(literal -1/3 binary64) y))
(sqrt.f64 (/.f64 #s(literal 1/9 binary64) (pow.f64 y #s(literal 2 binary64))))
(log.f64 (exp.f64 (/.f64 #s(literal 1/3 binary64) y)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 #s(literal 1/3 binary64) y))))
(cbrt.f64 (pow.f64 (/.f64 #s(literal 1/3 binary64) y) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (/.f64 #s(literal 1/3 binary64) y)))
(log1p.f64 (expm1.f64 (/.f64 #s(literal 1/3 binary64) y)))
(exp.f64 (log.f64 (/.f64 #s(literal 1/3 binary64) y)))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1/3 binary64) y)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (*.f64 y #s(literal 3 binary64))) #s(literal -1 binary64)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (/.f64 #s(literal 1/3 binary64) y))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 3 binary64) (log.f64 (/.f64 #s(literal 1/3 binary64) y))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 #s(literal 1/3 binary64) y))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 #s(literal 1/3 binary64) y)) #s(literal 1 binary64)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 y #s(literal 3 binary64))) #s(literal 1 binary64)) #s(literal -1 binary64)))
(+.f64 #s(literal 0 binary64) (*.f64 x (/.f64 #s(literal 1/3 binary64) y)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (exp.f64 (/.f64 x y)))) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (cbrt.f64 (exp.f64 (/.f64 x y))))))
(+.f64 (log.f64 (sqrt.f64 (cbrt.f64 (exp.f64 (/.f64 x y))))) (log.f64 (sqrt.f64 (cbrt.f64 (exp.f64 (/.f64 x y))))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (/.f64 #s(literal 1/3 binary64) y)))) #s(literal 1 binary64))
(*.f64 x (/.f64 #s(literal 1/3 binary64) y))
(*.f64 #s(literal 1/3 binary64) (/.f64 x y))
(*.f64 #s(literal 1/3 binary64) (*.f64 (/.f64 #s(literal 1 binary64) y) x))
(*.f64 (/.f64 #s(literal 1/3 binary64) y) x)
(*.f64 (/.f64 #s(literal 1/3 binary64) y) (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)))
(*.f64 (*.f64 x (/.f64 #s(literal 1/3 binary64) y)) #s(literal 1 binary64))
(*.f64 (*.f64 x (/.f64 #s(literal 1/3 binary64) y)) (log.f64 (exp.f64 #s(literal 1 binary64))))
(*.f64 #s(literal 1 binary64) (*.f64 x (/.f64 #s(literal 1/3 binary64) y)))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 #s(literal 1/3 binary64) y)) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (/.f64 #s(literal 1/3 binary64) y)) x))
(*.f64 (cbrt.f64 (*.f64 x (/.f64 #s(literal 1/3 binary64) y))) (cbrt.f64 (pow.f64 (*.f64 y (/.f64 #s(literal 3 binary64) x)) #s(literal -2 binary64))))
(*.f64 (cbrt.f64 (pow.f64 (*.f64 y (/.f64 #s(literal 3 binary64) x)) #s(literal -2 binary64))) (cbrt.f64 (*.f64 x (/.f64 #s(literal 1/3 binary64) y))))
(*.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (/.f64 (cbrt.f64 x) (*.f64 y #s(literal 3 binary64))))
(*.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (*.f64 (cbrt.f64 x) (/.f64 #s(literal 1/3 binary64) y)))
(*.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (pow.f64 (/.f64 (cbrt.f64 x) (*.f64 y #s(literal 3 binary64))) #s(literal 1 binary64)))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1/3 binary64) y)) (/.f64 x (sqrt.f64 (*.f64 y #s(literal 3 binary64)))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1/3 binary64) y)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1/3 binary64) y)) x))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1/3 binary64) y)) (pow.f64 (/.f64 x (sqrt.f64 (*.f64 y #s(literal 3 binary64)))) #s(literal 1 binary64)))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1/3 binary64) y)) (pow.f64 (/.f64 (sqrt.f64 (*.f64 y #s(literal 3 binary64))) x) #s(literal -1 binary64)))
(*.f64 (sqrt.f64 (*.f64 x (/.f64 #s(literal 1/3 binary64) y))) (sqrt.f64 (*.f64 x (/.f64 #s(literal 1/3 binary64) y))))
(*.f64 (sqrt.f64 x) (/.f64 (sqrt.f64 x) (*.f64 y #s(literal 3 binary64))))
(*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (/.f64 #s(literal 1/3 binary64) y)))
(*.f64 (sqrt.f64 x) (pow.f64 (/.f64 (sqrt.f64 x) (*.f64 y #s(literal 3 binary64))) #s(literal 1 binary64)))
(*.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) (*.f64 y #s(literal -3 binary64))))
(*.f64 (neg.f64 x) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 y #s(literal -3 binary64))) #s(literal 1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 x #s(literal 3 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) y) (pow.f64 (/.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) y) (pow.f64 (/.f64 #s(literal 3 binary64) x) #s(literal -1 binary64)))
(*.f64 (*.f64 x #s(literal 1/3 binary64)) (/.f64 #s(literal 1 binary64) y))
(*.f64 (/.f64 x y) #s(literal 1/3 binary64))
(*.f64 (/.f64 x (sqrt.f64 y)) (/.f64 #s(literal 1/3 binary64) (sqrt.f64 y)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (cbrt.f64 x) (*.f64 y #s(literal 3 binary64))))
(*.f64 (/.f64 (sqrt.f64 x) #s(literal 1 binary64)) (/.f64 (sqrt.f64 x) (*.f64 y #s(literal 3 binary64))))
(*.f64 (/.f64 (sqrt.f64 x) y) (/.f64 (sqrt.f64 x) #s(literal 3 binary64)))
(*.f64 (/.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1/3 binary64) y))
(*.f64 (/.f64 x (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (/.f64 #s(literal 1/3 binary64) (cbrt.f64 y)))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 (*.f64 y #s(literal 3 binary64))) #s(literal 2 binary64))) (/.f64 x (cbrt.f64 (*.f64 y #s(literal 3 binary64)))))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 (*.f64 y #s(literal 3 binary64))) #s(literal 2 binary64))) (pow.f64 (/.f64 (cbrt.f64 (*.f64 y #s(literal 3 binary64))) x) #s(literal -1 binary64)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) y) (/.f64 (cbrt.f64 x) #s(literal 3 binary64)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) #s(literal 3 binary64)) (/.f64 (cbrt.f64 x) y))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 (*.f64 y #s(literal 3 binary64))) #s(literal 2 binary64))) (cbrt.f64 (*.f64 x (/.f64 #s(literal 1/3 binary64) y))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (sqrt.f64 (*.f64 y #s(literal 3 binary64)))) (/.f64 (cbrt.f64 x) (sqrt.f64 (*.f64 y #s(literal 3 binary64)))))
(*.f64 (/.f64 (sqrt.f64 x) #s(literal 3 binary64)) (/.f64 (sqrt.f64 x) y))
(*.f64 (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 (*.f64 y #s(literal 3 binary64))) #s(literal 2 binary64))) (/.f64 (sqrt.f64 x) (cbrt.f64 (*.f64 y #s(literal 3 binary64)))))
(*.f64 (*.f64 x (pow.f64 (cbrt.f64 (/.f64 #s(literal 1/3 binary64) y)) #s(literal 2 binary64))) (cbrt.f64 (/.f64 #s(literal 1/3 binary64) y)))
(*.f64 (*.f64 x (sqrt.f64 (/.f64 #s(literal 1/3 binary64) y))) (sqrt.f64 (/.f64 #s(literal 1/3 binary64) y)))
(*.f64 (*.f64 (/.f64 #s(literal 1/3 binary64) y) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 x))
(*.f64 (*.f64 (/.f64 #s(literal 1/3 binary64) y) (sqrt.f64 x)) (sqrt.f64 x))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/3 binary64)) (*.f64 x (/.f64 #s(literal 1/3 binary64) y)))
(*.f64 (pow.f64 (/.f64 x (sqrt.f64 y)) #s(literal 1 binary64)) (pow.f64 (/.f64 #s(literal 1/3 binary64) (sqrt.f64 y)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (/.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (pow.f64 (/.f64 (cbrt.f64 x) (*.f64 y #s(literal 3 binary64))) #s(literal 1 binary64)))
(*.f64 (pow.f64 (/.f64 (sqrt.f64 x) #s(literal 1 binary64)) #s(literal 1 binary64)) (pow.f64 (/.f64 (sqrt.f64 x) (*.f64 y #s(literal 3 binary64))) #s(literal 1 binary64)))
(*.f64 (pow.f64 (/.f64 (sqrt.f64 x) y) #s(literal 1 binary64)) (pow.f64 (/.f64 (sqrt.f64 x) #s(literal 3 binary64)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (/.f64 (sqrt.f64 x) #s(literal 3 binary64)) #s(literal 1 binary64)) (pow.f64 (/.f64 (sqrt.f64 x) y) #s(literal 1 binary64)))
(*.f64 (pow.f64 (/.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1/3 binary64) y))
(*.f64 (pow.f64 (/.f64 x (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) #s(literal 1 binary64)) (pow.f64 (/.f64 #s(literal 1/3 binary64) (cbrt.f64 y)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 (*.f64 y #s(literal 3 binary64))) #s(literal 2 binary64))) #s(literal 1 binary64)) (pow.f64 (/.f64 x (cbrt.f64 (*.f64 y #s(literal 3 binary64)))) #s(literal 1 binary64)))
(*.f64 (pow.f64 (/.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) y) #s(literal 1 binary64)) (pow.f64 (/.f64 (cbrt.f64 x) #s(literal 3 binary64)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (/.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) #s(literal 3 binary64)) #s(literal 1 binary64)) (pow.f64 (/.f64 (cbrt.f64 x) y) #s(literal 1 binary64)))
(*.f64 (pow.f64 (/.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 (*.f64 y #s(literal 3 binary64))) #s(literal 2 binary64))) #s(literal 1 binary64)) (cbrt.f64 (*.f64 x (/.f64 #s(literal 1/3 binary64) y))))
(*.f64 (pow.f64 (/.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (sqrt.f64 (*.f64 y #s(literal 3 binary64)))) #s(literal 1 binary64)) (pow.f64 (/.f64 (cbrt.f64 x) (sqrt.f64 (*.f64 y #s(literal 3 binary64)))) #s(literal 1 binary64)))
(*.f64 (pow.f64 (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 (*.f64 y #s(literal 3 binary64))) #s(literal 2 binary64))) #s(literal 1 binary64)) (pow.f64 (/.f64 (sqrt.f64 x) (cbrt.f64 (*.f64 y #s(literal 3 binary64)))) #s(literal 1 binary64)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 x (/.f64 #s(literal 1/3 binary64) y)))) #s(literal 2 binary64)) #s(literal 3 binary64)) (cbrt.f64 (*.f64 x (/.f64 #s(literal 1/3 binary64) y))))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (*.f64 x (/.f64 #s(literal 1/3 binary64) y)))) #s(literal 3 binary64)) (pow.f64 (sqrt.f64 (cbrt.f64 (*.f64 x (/.f64 #s(literal 1/3 binary64) y)))) #s(literal 3 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (*.f64 x (/.f64 #s(literal 1/3 binary64) y)) #s(literal 3 binary64))) #s(literal 1/3 binary64)) (pow.f64 (sqrt.f64 (pow.f64 (*.f64 x (/.f64 #s(literal 1/3 binary64) y)) #s(literal 3 binary64))) #s(literal 1/3 binary64)))
(*.f64 (pow.f64 (*.f64 (pow.f64 (*.f64 y (/.f64 #s(literal 3 binary64) x)) #s(literal -2 binary64)) (/.f64 #s(literal 1/3 binary64) y)) #s(literal 1/3 binary64)) (cbrt.f64 x))
(*.f64 (pow.f64 (*.f64 (pow.f64 (*.f64 y (/.f64 #s(literal 3 binary64) x)) #s(literal -2 binary64)) x) #s(literal 1/3 binary64)) (cbrt.f64 (/.f64 #s(literal 1/3 binary64) y)))
(*.f64 (pow.f64 (pow.f64 (*.f64 (*.f64 x (/.f64 #s(literal 1/3 binary64) y)) (cbrt.f64 (*.f64 x (/.f64 #s(literal 1/3 binary64) y)))) #s(literal 2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (cbrt.f64 (*.f64 x (/.f64 #s(literal 1/3 binary64) y)))))
(*.f64 (pow.f64 (*.f64 (pow.f64 (*.f64 y (/.f64 #s(literal 3 binary64) x)) #s(literal -2 binary64)) (sqrt.f64 (*.f64 x (/.f64 #s(literal 1/3 binary64) y)))) #s(literal 1/3 binary64)) (cbrt.f64 (sqrt.f64 (*.f64 x (/.f64 #s(literal 1/3 binary64) y)))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (*.f64 y (/.f64 #s(literal 3 binary64) x))) #s(literal 2 binary64)) #s(literal -1 binary64)) (cbrt.f64 (*.f64 x (/.f64 #s(literal 1/3 binary64) y))))
(*.f64 (pow.f64 (/.f64 y (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) #s(literal -1 binary64)) (pow.f64 (/.f64 #s(literal 3 binary64) (cbrt.f64 x)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 y (sqrt.f64 x)) #s(literal -1 binary64)) (pow.f64 (/.f64 #s(literal 3 binary64) (sqrt.f64 x)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 #s(literal 3 binary64) (sqrt.f64 x)) #s(literal -1 binary64)) (pow.f64 (/.f64 y (sqrt.f64 x)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 #s(literal 3 binary64) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) #s(literal -1 binary64)) (pow.f64 (/.f64 y (cbrt.f64 x)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) #s(literal -1 binary64)) (pow.f64 (/.f64 (*.f64 y #s(literal 3 binary64)) (cbrt.f64 x)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal -1 binary64)) (pow.f64 (/.f64 (*.f64 y #s(literal 3 binary64)) (sqrt.f64 x)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 y #s(literal 3 binary64))) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) (pow.f64 (/.f64 (cbrt.f64 (*.f64 y #s(literal 3 binary64))) x) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 y #s(literal 3 binary64))) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) #s(literal -1 binary64)) (pow.f64 (/.f64 (cbrt.f64 (*.f64 y #s(literal 3 binary64))) (cbrt.f64 x)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 y #s(literal 3 binary64))) #s(literal 2 binary64)) (sqrt.f64 x)) #s(literal -1 binary64)) (pow.f64 (/.f64 (cbrt.f64 (*.f64 y #s(literal 3 binary64))) (sqrt.f64 x)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 (sqrt.f64 (*.f64 y #s(literal 3 binary64))) #s(literal 1 binary64)) #s(literal -1 binary64)) (pow.f64 (/.f64 (sqrt.f64 (*.f64 y #s(literal 3 binary64))) x) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 (sqrt.f64 (*.f64 y #s(literal 3 binary64))) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) #s(literal -1 binary64)) (pow.f64 (/.f64 (sqrt.f64 (*.f64 y #s(literal 3 binary64))) (cbrt.f64 x)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 (sqrt.f64 (*.f64 y #s(literal 3 binary64))) (sqrt.f64 x)) #s(literal -1 binary64)) (pow.f64 (/.f64 (sqrt.f64 (*.f64 y #s(literal 3 binary64))) (sqrt.f64 x)) #s(literal -1 binary64)))
(pow.f64 (*.f64 x (/.f64 #s(literal 1/3 binary64) y)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 x (/.f64 #s(literal 1/3 binary64) y))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 y (/.f64 #s(literal 3 binary64) x)) #s(literal -2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (*.f64 x (/.f64 #s(literal 1/3 binary64) y)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 x (/.f64 #s(literal 1/3 binary64) y))) #s(literal 2 binary64))
(pow.f64 (*.f64 y (/.f64 #s(literal 3 binary64) x)) #s(literal -1 binary64))
(pow.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (*.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 27 binary64))) #s(literal 1/3 binary64))
(pow.f64 (/.f64 y (*.f64 x #s(literal 1/3 binary64))) #s(literal -1 binary64))
(pow.f64 (/.f64 (*.f64 y (/.f64 #s(literal 3 binary64) x)) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 #s(literal 3 binary64) (/.f64 x y)) #s(literal -1 binary64))
(neg.f64 (/.f64 x (*.f64 y #s(literal -3 binary64))))
(neg.f64 (/.f64 (neg.f64 x) (*.f64 y #s(literal 3 binary64))))
(sqrt.f64 (pow.f64 (*.f64 y (/.f64 #s(literal 3 binary64) x)) #s(literal -2 binary64)))
(log.f64 (cbrt.f64 (exp.f64 (/.f64 x y))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x (/.f64 #s(literal 1/3 binary64) y)))))
(cbrt.f64 (pow.f64 (*.f64 x (/.f64 #s(literal 1/3 binary64) y)) #s(literal 3 binary64)))
(cbrt.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (*.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 27 binary64))))
(expm1.f64 (log1p.f64 (*.f64 x (/.f64 #s(literal 1/3 binary64) y))))
(log1p.f64 (expm1.f64 (*.f64 x (/.f64 #s(literal 1/3 binary64) y))))
(exp.f64 (log.f64 (*.f64 x (/.f64 #s(literal 1/3 binary64) y))))
(exp.f64 (*.f64 (log.f64 (*.f64 x (/.f64 #s(literal 1/3 binary64) y))) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 x (/.f64 #s(literal 1/3 binary64) y)))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 3 binary64) (log.f64 (*.f64 x (/.f64 #s(literal 1/3 binary64) y)))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 x (/.f64 #s(literal 1/3 binary64) y)))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (*.f64 y (/.f64 #s(literal 3 binary64) x))) #s(literal -1 binary64)))
(exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 x (/.f64 #s(literal 1/3 binary64) y))) #s(literal 1 binary64)) #s(literal 1 binary64)))
(+.f64 #s(literal 0 binary64) (*.f64 y #s(literal 3 binary64)))
(+.f64 (log.f64 (pow.f64 (exp.f64 y) #s(literal 2 binary64))) y)
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 #s(literal 3 binary64)) y))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 #s(literal 3 binary64)) y))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 y #s(literal 3 binary64)))) #s(literal 1 binary64))
(/.f64 y #s(literal 1/3 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) y))
(/.f64 (neg.f64 y) #s(literal -1/3 binary64))
(pow.f64 (/.f64 #s(literal 1/3 binary64) y) #s(literal -1 binary64))
(pow.f64 (*.f64 y #s(literal 3 binary64)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 y #s(literal 3 binary64))) #s(literal 3 binary64))
(pow.f64 (*.f64 (pow.f64 y #s(literal 2 binary64)) #s(literal 9 binary64)) #s(literal 1/2 binary64))
(pow.f64 (*.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 27 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 y #s(literal 3 binary64))) #s(literal 2 binary64))
(sqrt.f64 (*.f64 (pow.f64 y #s(literal 2 binary64)) #s(literal 9 binary64)))
(log.f64 (pow.f64 (exp.f64 #s(literal 3 binary64)) y))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 y #s(literal 3 binary64)))))
(cbrt.f64 (*.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 27 binary64)))
(expm1.f64 (log1p.f64 (*.f64 y #s(literal 3 binary64))))
(log1p.f64 (expm1.f64 (*.f64 y #s(literal 3 binary64))))
(exp.f64 (log.f64 (*.f64 y #s(literal 3 binary64))))
(exp.f64 (*.f64 (log.f64 (*.f64 y #s(literal 3 binary64))) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 y #s(literal 3 binary64)))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 3 binary64) (log.f64 (*.f64 y #s(literal 3 binary64)))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 y #s(literal 3 binary64)))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 y #s(literal 3 binary64))) #s(literal 1 binary64)) #s(literal 1 binary64)))
Outputs
(*.f64 #s(literal 1/3 binary64) (/.f64 x y))
(/.f64 (*.f64 #s(literal 1/3 binary64) x) y)
(*.f64 x (/.f64 #s(literal 1/3 binary64) y))
(/.f64 x (*.f64 y #s(literal 3 binary64)))
(*.f64 #s(literal 1/3 binary64) (/.f64 x y))
(/.f64 (*.f64 #s(literal 1/3 binary64) x) y)
(*.f64 x (/.f64 #s(literal 1/3 binary64) y))
(/.f64 x (*.f64 y #s(literal 3 binary64)))
(*.f64 #s(literal 1/3 binary64) (/.f64 x y))
(/.f64 (*.f64 #s(literal 1/3 binary64) x) y)
(*.f64 x (/.f64 #s(literal 1/3 binary64) y))
(/.f64 x (*.f64 y #s(literal 3 binary64)))
(*.f64 #s(literal 1/3 binary64) (/.f64 x y))
(/.f64 (*.f64 #s(literal 1/3 binary64) x) y)
(*.f64 x (/.f64 #s(literal 1/3 binary64) y))
(/.f64 x (*.f64 y #s(literal 3 binary64)))
(*.f64 #s(literal 1/3 binary64) (/.f64 x y))
(/.f64 (*.f64 #s(literal 1/3 binary64) x) y)
(*.f64 x (/.f64 #s(literal 1/3 binary64) y))
(/.f64 x (*.f64 y #s(literal 3 binary64)))
(*.f64 #s(literal 1/3 binary64) (/.f64 x y))
(/.f64 (*.f64 #s(literal 1/3 binary64) x) y)
(*.f64 x (/.f64 #s(literal 1/3 binary64) y))
(/.f64 x (*.f64 y #s(literal 3 binary64)))
(*.f64 #s(literal 1/3 binary64) (/.f64 x y))
(/.f64 (*.f64 #s(literal 1/3 binary64) x) y)
(*.f64 x (/.f64 #s(literal 1/3 binary64) y))
(/.f64 x (*.f64 y #s(literal 3 binary64)))
(*.f64 #s(literal 1/3 binary64) (/.f64 x y))
(/.f64 (*.f64 #s(literal 1/3 binary64) x) y)
(*.f64 x (/.f64 #s(literal 1/3 binary64) y))
(/.f64 x (*.f64 y #s(literal 3 binary64)))
(*.f64 #s(literal 1/3 binary64) (/.f64 x y))
(/.f64 (*.f64 #s(literal 1/3 binary64) x) y)
(*.f64 x (/.f64 #s(literal 1/3 binary64) y))
(/.f64 x (*.f64 y #s(literal 3 binary64)))
(*.f64 #s(literal 1/3 binary64) (/.f64 x y))
(/.f64 (*.f64 #s(literal 1/3 binary64) x) y)
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(/.f64 (*.f64 #s(literal 1/3 binary64) x) y)
(*.f64 x (/.f64 #s(literal 1/3 binary64) y))
(/.f64 x (*.f64 y #s(literal 3 binary64)))
(+.f64 #s(literal 0 binary64) (*.f64 y #s(literal 3 binary64)))
(*.f64 y #s(literal 3 binary64))
(+.f64 (log.f64 (pow.f64 (exp.f64 y) #s(literal 2 binary64))) y)
(+.f64 y (log.f64 (pow.f64 (exp.f64 y) #s(literal 2 binary64))))
(+.f64 y (+.f64 y y))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 #s(literal 3 binary64)) y))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 #s(literal 3 binary64)) y))))
(*.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 #s(literal 3 binary64)) y))))
(*.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 y) #s(literal 3 binary64)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 y #s(literal 3 binary64)))) #s(literal 1 binary64))
(expm1.f64 (log1p.f64 (*.f64 y #s(literal 3 binary64))))
(/.f64 y #s(literal 1/3 binary64))
(*.f64 y #s(literal 3 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) y))
(*.f64 y #s(literal 3 binary64))
(/.f64 (neg.f64 y) #s(literal -1/3 binary64))
(*.f64 y #s(literal 3 binary64))
(pow.f64 (/.f64 #s(literal 1/3 binary64) y) #s(literal -1 binary64))
(*.f64 y #s(literal 3 binary64))
(pow.f64 (*.f64 y #s(literal 3 binary64)) #s(literal 1 binary64))
(*.f64 y #s(literal 3 binary64))
(pow.f64 (cbrt.f64 (*.f64 y #s(literal 3 binary64))) #s(literal 3 binary64))
(*.f64 y #s(literal 3 binary64))
(pow.f64 (*.f64 (pow.f64 y #s(literal 2 binary64)) #s(literal 9 binary64)) #s(literal 1/2 binary64))
(sqrt.f64 (*.f64 (pow.f64 y #s(literal 2 binary64)) #s(literal 9 binary64)))
(pow.f64 (*.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 27 binary64)) #s(literal 1/3 binary64))
(*.f64 y #s(literal 3 binary64))
(pow.f64 (sqrt.f64 (*.f64 y #s(literal 3 binary64))) #s(literal 2 binary64))
(*.f64 y #s(literal 3 binary64))
(sqrt.f64 (*.f64 (pow.f64 y #s(literal 2 binary64)) #s(literal 9 binary64)))
(log.f64 (pow.f64 (exp.f64 #s(literal 3 binary64)) y))
(*.f64 y #s(literal 3 binary64))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 y #s(literal 3 binary64)))))
(*.f64 y #s(literal 3 binary64))
(cbrt.f64 (*.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 27 binary64)))
(*.f64 y #s(literal 3 binary64))
(expm1.f64 (log1p.f64 (*.f64 y #s(literal 3 binary64))))
(log1p.f64 (expm1.f64 (*.f64 y #s(literal 3 binary64))))
(*.f64 y #s(literal 3 binary64))
(exp.f64 (log.f64 (*.f64 y #s(literal 3 binary64))))
(*.f64 y #s(literal 3 binary64))
(exp.f64 (*.f64 (log.f64 (*.f64 y #s(literal 3 binary64))) #s(literal 1 binary64)))
(*.f64 y #s(literal 3 binary64))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 y #s(literal 3 binary64)))) #s(literal 3 binary64)))
(*.f64 y #s(literal 3 binary64))
(exp.f64 (*.f64 (*.f64 #s(literal 3 binary64) (log.f64 (*.f64 y #s(literal 3 binary64)))) #s(literal 1/3 binary64)))
(*.f64 y #s(literal 3 binary64))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 y #s(literal 3 binary64)))) #s(literal 2 binary64)))
(*.f64 y #s(literal 3 binary64))
(exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 y #s(literal 3 binary64))) #s(literal 1 binary64)) #s(literal 1 binary64)))
(*.f64 y #s(literal 3 binary64))

eval51.0ms (1.7%)

Compiler

Compiled 3505 to 806 computations (77% saved)

prune42.0ms (1.5%)

Pruning

6 alts after pruning (4 fresh and 2 done)

PrunedKeptTotal
New2934297
Fresh000
Picked022
Done000
Total2936299
Accuracy
100.0%
Counts
299 → 6
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶99.4%
(/.f64 (/.f64 x y) #s(literal 3 binary64))
▶99.7%
(/.f64 (/.f64 x #s(literal 3 binary64)) y)
▶99.2%
(/.f64 x (/.f64 y #s(literal 1/3 binary64)))
✓99.3%
(/.f64 x (*.f64 y #s(literal 3 binary64)))
▶98.9%
(/.f64 #s(literal 1 binary64) (*.f64 y (/.f64 #s(literal 3 binary64) x)))
✓99.5%
(*.f64 x (/.f64 #s(literal 1/3 binary64) y))
Compiler

Compiled 44 to 32 computations (27.3% saved)

simplify14.0ms (0.5%)

Algorithm
1×egg-herbie
Localize:

Found 9 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(/.f64 x y)
✓cost-diff0
(/.f64 (/.f64 x y) #s(literal 3 binary64))
✓cost-diff0
(/.f64 x #s(literal 3 binary64))
✓cost-diff0
(/.f64 (/.f64 x #s(literal 3 binary64)) y)
✓cost-diff0
(/.f64 y #s(literal 1/3 binary64))
✓cost-diff0
(/.f64 x (/.f64 y #s(literal 1/3 binary64)))
✓cost-diff0
(/.f64 #s(literal 3 binary64) x)
✓cost-diff0
(*.f64 y (/.f64 #s(literal 3 binary64) x))
✓cost-diff128
(/.f64 #s(literal 1 binary64) (*.f64 y (/.f64 #s(literal 3 binary64) x)))
Rules
13×associate-*r*
12×associate-/r*
11×associate-*l*
8×*-commutative
8×associate-*r/
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
019199
134199
244175
355175
463175
5107175
6125175
Stop Event
1×saturated
Calls
Call 1
Inputs
(/.f64 #s(literal 1 binary64) (*.f64 y (/.f64 #s(literal 3 binary64) x)))
#s(literal 1 binary64)
(*.f64 y (/.f64 #s(literal 3 binary64) x))
y
(/.f64 #s(literal 3 binary64) x)
#s(literal 3 binary64)
x
(/.f64 x (/.f64 y #s(literal 1/3 binary64)))
x
(/.f64 y #s(literal 1/3 binary64))
y
#s(literal 1/3 binary64)
(/.f64 (/.f64 x #s(literal 3 binary64)) y)
(/.f64 x #s(literal 3 binary64))
x
#s(literal 3 binary64)
y
(/.f64 (/.f64 x y) #s(literal 3 binary64))
(/.f64 x y)
x
y
#s(literal 3 binary64)
Outputs
(/.f64 #s(literal 1 binary64) (*.f64 y (/.f64 #s(literal 3 binary64) x)))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 y #s(literal 3 binary64)) x))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 y #s(literal 3 binary64))) x)
(*.f64 x (/.f64 #s(literal 1/3 binary64) y))
(/.f64 x (*.f64 y #s(literal 3 binary64)))
#s(literal 1 binary64)
(*.f64 y (/.f64 #s(literal 3 binary64) x))
(/.f64 (*.f64 y #s(literal 3 binary64)) x)
y
(/.f64 #s(literal 3 binary64) x)
#s(literal 3 binary64)
x
(/.f64 x (/.f64 y #s(literal 1/3 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 y #s(literal 3 binary64)) x))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 y #s(literal 3 binary64))) x)
(*.f64 x (/.f64 #s(literal 1/3 binary64) y))
(/.f64 x (*.f64 y #s(literal 3 binary64)))
x
(/.f64 y #s(literal 1/3 binary64))
y
#s(literal 1/3 binary64)
(/.f64 (/.f64 x #s(literal 3 binary64)) y)
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 y #s(literal 3 binary64)) x))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 y #s(literal 3 binary64))) x)
(*.f64 x (/.f64 #s(literal 1/3 binary64) y))
(/.f64 x (*.f64 y #s(literal 3 binary64)))
(/.f64 x #s(literal 3 binary64))
(*.f64 x #s(literal 1/3 binary64))
x
#s(literal 3 binary64)
y
(/.f64 (/.f64 x y) #s(literal 3 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 y #s(literal 3 binary64)) x))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 y #s(literal 3 binary64))) x)
(*.f64 x (/.f64 #s(literal 1/3 binary64) y))
(/.f64 x (*.f64 y #s(literal 3 binary64)))
(/.f64 x y)
x
y
#s(literal 3 binary64)

localize226.0ms (7.8%)

Localize:

Found 9 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(/.f64 x y)
✓accuracy99.8%
(/.f64 (/.f64 x y) #s(literal 3 binary64))
✓accuracy100.0%
(/.f64 x #s(literal 3 binary64))
✓accuracy99.8%
(/.f64 (/.f64 x #s(literal 3 binary64)) y)
✓accuracy99.8%
(/.f64 y #s(literal 1/3 binary64))
✓accuracy99.5%
(/.f64 x (/.f64 y #s(literal 1/3 binary64)))
✓accuracy100.0%
(/.f64 #s(literal 3 binary64) x)
✓accuracy99.8%
(*.f64 y (/.f64 #s(literal 3 binary64) x))
✓accuracy99.2%
(/.f64 #s(literal 1 binary64) (*.f64 y (/.f64 #s(literal 3 binary64) x)))
Results
175.0ms82×5exit
28.0ms174×0valid
Compiler

Compiled 55 to 15 computations (72.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 110.0ms
ival-div: 78.0ms (70.6% of total)
...c/correct-round.rkt:119:19: 20.0ms (18.1% of total)
backward-pass: 9.0ms (8.2% of total)
ival-mult: 3.0ms (2.7% of total)
const: 1.0ms (0.9% of total)

series17.0ms (0.6%)

Counts
9 → 144
Calls
Call 1
Inputs
#<alt (/.f64 #s(literal 1 binary64) (*.f64 y (/.f64 #s(literal 3 binary64) x)))>
#<alt (*.f64 y (/.f64 #s(literal 3 binary64) x))>
#<alt (/.f64 #s(literal 3 binary64) x)>
#<alt (/.f64 x (/.f64 y #s(literal 1/3 binary64)))>
#<alt (/.f64 y #s(literal 1/3 binary64))>
#<alt (/.f64 (/.f64 x #s(literal 3 binary64)) y)>
#<alt (/.f64 x #s(literal 3 binary64))>
#<alt (/.f64 (/.f64 x y) #s(literal 3 binary64))>
#<alt (/.f64 x y)>
Outputs
#<alt (*.f64 #s(literal 1/3 binary64) (/.f64 x y))>
#<alt (*.f64 #s(literal 1/3 binary64) (/.f64 x y))>
#<alt (*.f64 #s(literal 1/3 binary64) (/.f64 x y))>
#<alt (*.f64 #s(literal 1/3 binary64) (/.f64 x y))>
#<alt (*.f64 #s(literal 1/3 binary64) (/.f64 x y))>
#<alt (*.f64 #s(literal 1/3 binary64) (/.f64 x y))>
#<alt (*.f64 #s(literal 1/3 binary64) (/.f64 x y))>
#<alt (*.f64 #s(literal 1/3 binary64) (/.f64 x y))>
#<alt (*.f64 #s(literal 1/3 binary64) (/.f64 x y))>
#<alt (*.f64 #s(literal 1/3 binary64) (/.f64 x y))>
#<alt (*.f64 #s(literal 1/3 binary64) (/.f64 x y))>
#<alt (*.f64 #s(literal 1/3 binary64) (/.f64 x y))>
#<alt (*.f64 #s(literal 1/3 binary64) (/.f64 x y))>
#<alt (*.f64 #s(literal 1/3 binary64) (/.f64 x y))>
#<alt (*.f64 #s(literal 1/3 binary64) (/.f64 x y))>
#<alt (*.f64 #s(literal 1/3 binary64) (/.f64 x y))>
#<alt (*.f64 #s(literal 1/3 binary64) (/.f64 x y))>
#<alt (*.f64 #s(literal 1/3 binary64) (/.f64 x y))>
#<alt (*.f64 #s(literal 1/3 binary64) (/.f64 x y))>
#<alt (*.f64 #s(literal 1/3 binary64) (/.f64 x y))>
#<alt (*.f64 #s(literal 1/3 binary64) (/.f64 x y))>
#<alt (*.f64 #s(literal 1/3 binary64) (/.f64 x y))>
#<alt (*.f64 #s(literal 1/3 binary64) (/.f64 x y))>
#<alt (*.f64 #s(literal 1/3 binary64) (/.f64 x y))>
#<alt (*.f64 #s(literal 3 binary64) (/.f64 y x))>
#<alt (*.f64 #s(literal 3 binary64) (/.f64 y x))>
#<alt (*.f64 #s(literal 3 binary64) (/.f64 y x))>
#<alt (*.f64 #s(literal 3 binary64) (/.f64 y x))>
#<alt (*.f64 #s(literal 3 binary64) (/.f64 y x))>
#<alt (*.f64 #s(literal 3 binary64) (/.f64 y x))>
#<alt (*.f64 #s(literal 3 binary64) (/.f64 y x))>
#<alt (*.f64 #s(literal 3 binary64) (/.f64 y x))>
#<alt (*.f64 #s(literal 3 binary64) (/.f64 y x))>
#<alt (*.f64 #s(literal 3 binary64) (/.f64 y x))>
#<alt (*.f64 #s(literal 3 binary64) (/.f64 y x))>
#<alt (*.f64 #s(literal 3 binary64) (/.f64 y x))>
#<alt (*.f64 #s(literal 3 binary64) (/.f64 y x))>
#<alt (*.f64 #s(literal 3 binary64) (/.f64 y x))>
#<alt (*.f64 #s(literal 3 binary64) (/.f64 y x))>
#<alt (*.f64 #s(literal 3 binary64) (/.f64 y x))>
#<alt (*.f64 #s(literal 3 binary64) (/.f64 y x))>
#<alt (*.f64 #s(literal 3 binary64) (/.f64 y x))>
#<alt (*.f64 #s(literal 3 binary64) (/.f64 y x))>
#<alt (*.f64 #s(literal 3 binary64) (/.f64 y x))>
#<alt (*.f64 #s(literal 3 binary64) (/.f64 y x))>
#<alt (*.f64 #s(literal 3 binary64) (/.f64 y x))>
#<alt (*.f64 #s(literal 3 binary64) (/.f64 y x))>
#<alt (*.f64 #s(literal 3 binary64) (/.f64 y x))>
#<alt (*.f64 #s(literal 1/3 binary64) (/.f64 x y))>
#<alt (*.f64 #s(literal 1/3 binary64) (/.f64 x y))>
#<alt (*.f64 #s(literal 1/3 binary64) (/.f64 x y))>
#<alt (*.f64 #s(literal 1/3 binary64) (/.f64 x y))>
#<alt (*.f64 #s(literal 1/3 binary64) (/.f64 x y))>
#<alt (*.f64 #s(literal 1/3 binary64) (/.f64 x y))>
#<alt (*.f64 #s(literal 1/3 binary64) (/.f64 x y))>
#<alt (*.f64 #s(literal 1/3 binary64) (/.f64 x y))>
#<alt (*.f64 #s(literal 1/3 binary64) (/.f64 x y))>
#<alt (*.f64 #s(literal 1/3 binary64) (/.f64 x y))>
#<alt (*.f64 #s(literal 1/3 binary64) (/.f64 x y))>
#<alt (*.f64 #s(literal 1/3 binary64) (/.f64 x y))>
#<alt (*.f64 #s(literal 1/3 binary64) (/.f64 x y))>
#<alt (*.f64 #s(literal 1/3 binary64) (/.f64 x y))>
#<alt (*.f64 #s(literal 1/3 binary64) (/.f64 x y))>
#<alt (*.f64 #s(literal 1/3 binary64) (/.f64 x y))>
#<alt (*.f64 #s(literal 1/3 binary64) (/.f64 x y))>
#<alt (*.f64 #s(literal 1/3 binary64) (/.f64 x y))>
#<alt (*.f64 #s(literal 1/3 binary64) (/.f64 x y))>
#<alt (*.f64 #s(literal 1/3 binary64) (/.f64 x y))>
#<alt (*.f64 #s(literal 1/3 binary64) (/.f64 x y))>
#<alt (*.f64 #s(literal 1/3 binary64) (/.f64 x y))>
#<alt (*.f64 #s(literal 1/3 binary64) (/.f64 x y))>
#<alt (*.f64 #s(literal 1/3 binary64) (/.f64 x y))>
#<alt (*.f64 #s(literal 3 binary64) y)>
#<alt (*.f64 #s(literal 3 binary64) y)>
#<alt (*.f64 #s(literal 3 binary64) y)>
#<alt (*.f64 #s(literal 3 binary64) y)>
#<alt (*.f64 #s(literal 3 binary64) y)>
#<alt (*.f64 #s(literal 3 binary64) y)>
#<alt (*.f64 #s(literal 3 binary64) y)>
#<alt (*.f64 #s(literal 3 binary64) y)>
#<alt (*.f64 #s(literal 3 binary64) y)>
#<alt (*.f64 #s(literal 3 binary64) y)>
#<alt (*.f64 #s(literal 3 binary64) y)>
#<alt (*.f64 #s(literal 3 binary64) y)>
#<alt (*.f64 #s(literal 1/3 binary64) (/.f64 x y))>
#<alt (*.f64 #s(literal 1/3 binary64) (/.f64 x y))>
#<alt (*.f64 #s(literal 1/3 binary64) (/.f64 x y))>
#<alt (*.f64 #s(literal 1/3 binary64) (/.f64 x y))>
#<alt (*.f64 #s(literal 1/3 binary64) (/.f64 x y))>
#<alt (*.f64 #s(literal 1/3 binary64) (/.f64 x y))>
#<alt (*.f64 #s(literal 1/3 binary64) (/.f64 x y))>
#<alt (*.f64 #s(literal 1/3 binary64) (/.f64 x y))>
#<alt (*.f64 #s(literal 1/3 binary64) (/.f64 x y))>
#<alt (*.f64 #s(literal 1/3 binary64) (/.f64 x y))>
#<alt (*.f64 #s(literal 1/3 binary64) (/.f64 x y))>
#<alt (*.f64 #s(literal 1/3 binary64) (/.f64 x y))>
#<alt (*.f64 #s(literal 1/3 binary64) (/.f64 x y))>
#<alt (*.f64 #s(literal 1/3 binary64) (/.f64 x y))>
#<alt (*.f64 #s(literal 1/3 binary64) (/.f64 x y))>
#<alt (*.f64 #s(literal 1/3 binary64) (/.f64 x y))>
#<alt (*.f64 #s(literal 1/3 binary64) (/.f64 x y))>
#<alt (*.f64 #s(literal 1/3 binary64) (/.f64 x y))>
#<alt (*.f64 #s(literal 1/3 binary64) (/.f64 x y))>
#<alt (*.f64 #s(literal 1/3 binary64) (/.f64 x y))>
#<alt (*.f64 #s(literal 1/3 binary64) (/.f64 x y))>
#<alt (*.f64 #s(literal 1/3 binary64) (/.f64 x y))>
#<alt (*.f64 #s(literal 1/3 binary64) (/.f64 x y))>
#<alt (*.f64 #s(literal 1/3 binary64) (/.f64 x y))>
#<alt (*.f64 #s(literal 1/3 binary64) x)>
#<alt (*.f64 #s(literal 1/3 binary64) x)>
#<alt (*.f64 #s(literal 1/3 binary64) x)>
#<alt (*.f64 #s(literal 1/3 binary64) x)>
#<alt (*.f64 #s(literal 1/3 binary64) x)>
#<alt (*.f64 #s(literal 1/3 binary64) x)>
#<alt (*.f64 #s(literal 1/3 binary64) x)>
#<alt (*.f64 #s(literal 1/3 binary64) x)>
#<alt (*.f64 #s(literal 1/3 binary64) x)>
#<alt (*.f64 #s(literal 1/3 binary64) x)>
#<alt (*.f64 #s(literal 1/3 binary64) x)>
#<alt (*.f64 #s(literal 1/3 binary64) x)>
#<alt (*.f64 #s(literal 1/3 binary64) (/.f64 x y))>
#<alt (*.f64 #s(literal 1/3 binary64) (/.f64 x y))>
#<alt (*.f64 #s(literal 1/3 binary64) (/.f64 x y))>
#<alt (*.f64 #s(literal 1/3 binary64) (/.f64 x y))>
#<alt (*.f64 #s(literal 1/3 binary64) (/.f64 x y))>
#<alt (*.f64 #s(literal 1/3 binary64) (/.f64 x y))>
#<alt (*.f64 #s(literal 1/3 binary64) (/.f64 x y))>
#<alt (*.f64 #s(literal 1/3 binary64) (/.f64 x y))>
#<alt (*.f64 #s(literal 1/3 binary64) (/.f64 x y))>
#<alt (*.f64 #s(literal 1/3 binary64) (/.f64 x y))>
#<alt (*.f64 #s(literal 1/3 binary64) (/.f64 x y))>
#<alt (*.f64 #s(literal 1/3 binary64) (/.f64 x y))>
#<alt (*.f64 #s(literal 1/3 binary64) (/.f64 x y))>
#<alt (*.f64 #s(literal 1/3 binary64) (/.f64 x y))>
#<alt (*.f64 #s(literal 1/3 binary64) (/.f64 x y))>
#<alt (*.f64 #s(literal 1/3 binary64) (/.f64 x y))>
#<alt (*.f64 #s(literal 1/3 binary64) (/.f64 x y))>
#<alt (*.f64 #s(literal 1/3 binary64) (/.f64 x y))>
#<alt (*.f64 #s(literal 1/3 binary64) (/.f64 x y))>
#<alt (*.f64 #s(literal 1/3 binary64) (/.f64 x y))>
#<alt (*.f64 #s(literal 1/3 binary64) (/.f64 x y))>
#<alt (*.f64 #s(literal 1/3 binary64) (/.f64 x y))>
#<alt (*.f64 #s(literal 1/3 binary64) (/.f64 x y))>
#<alt (*.f64 #s(literal 1/3 binary64) (/.f64 x y))>
Calls

45 calls:

TimeVariablePointExpression
4.0ms
x
@-inf
(/ x y)
1.0ms
y
@0
(* y (/ 3 x))
1.0ms
x
@0
(* y (/ 3 x))
0.0ms
y
@-inf
(* y (/ 3 x))
0.0ms
y
@inf
(* y (/ 3 x))

rewrite156.0ms (5.4%)

Algorithm
1×batch-egg-rewrite
Rules
660×log1p-expm1-u
660×expm1-log1p-u
619×log-prod
356×log-div
207×frac-times
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
019138
1280138
23433138
Stop Event
1×node limit
Counts
9 → 486
Calls
Call 1
Inputs
(/.f64 #s(literal 1 binary64) (*.f64 y (/.f64 #s(literal 3 binary64) x)))
(*.f64 y (/.f64 #s(literal 3 binary64) x))
(/.f64 #s(literal 3 binary64) x)
(/.f64 x (/.f64 y #s(literal 1/3 binary64)))
(/.f64 y #s(literal 1/3 binary64))
(/.f64 (/.f64 x #s(literal 3 binary64)) y)
(/.f64 x #s(literal 3 binary64))
(/.f64 (/.f64 x y) #s(literal 3 binary64))
(/.f64 x y)
Outputs
(+.f64 #s(literal 0 binary64) (*.f64 x (/.f64 #s(literal 1/3 binary64) y)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (cbrt.f64 (exp.f64 (/.f64 x y)))) (cbrt.f64 (cbrt.f64 (exp.f64 (/.f64 x y)))))) (log.f64 (cbrt.f64 (cbrt.f64 (exp.f64 (/.f64 x y))))))
(+.f64 (log.f64 (sqrt.f64 (cbrt.f64 (exp.f64 (/.f64 x y))))) (log.f64 (sqrt.f64 (cbrt.f64 (exp.f64 (/.f64 x y))))))
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(*.f64 (pow.f64 (cbrt.f64 (*.f64 x #s(literal 1/3 binary64))) #s(literal 2 binary64)) (cbrt.f64 (*.f64 x #s(literal 1/3 binary64))))
(*.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (/.f64 (cbrt.f64 x) #s(literal 3 binary64)))
(*.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (*.f64 (cbrt.f64 x) #s(literal 1/3 binary64)))
(*.f64 (sqrt.f64 (*.f64 x #s(literal 1/3 binary64))) (sqrt.f64 (*.f64 x #s(literal 1/3 binary64))))
(*.f64 (sqrt.f64 x) (/.f64 (sqrt.f64 x) #s(literal 3 binary64)))
(*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) #s(literal 1/3 binary64)))
(*.f64 #s(literal -1/3 binary64) (neg.f64 x))
(*.f64 (neg.f64 x) #s(literal -1/3 binary64))
(pow.f64 (/.f64 #s(literal 3 binary64) x) #s(literal -1 binary64))
(pow.f64 (*.f64 x #s(literal 1/3 binary64)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 x #s(literal 1/3 binary64))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 x #s(literal 1/3 binary64)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 x #s(literal 1/3 binary64))) #s(literal 2 binary64))
(neg.f64 (*.f64 x #s(literal -1/3 binary64)))
(sqrt.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/9 binary64)))
(log.f64 (cbrt.f64 (exp.f64 x)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x #s(literal 1/3 binary64)))))
(log.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (cbrt.f64 (exp.f64 x)))))
(log.f64 (/.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -1/3 binary64)))))
(cbrt.f64 (pow.f64 (*.f64 x #s(literal 1/3 binary64)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 x #s(literal 1/3 binary64))))
(log1p.f64 (expm1.f64 (*.f64 x #s(literal 1/3 binary64))))
(exp.f64 (log.f64 (*.f64 x #s(literal 1/3 binary64))))
(exp.f64 (*.f64 (log.f64 (*.f64 x #s(literal 1/3 binary64))) #s(literal 1 binary64)))
(+.f64 #s(literal 0 binary64) (*.f64 x (/.f64 #s(literal 1/3 binary64) y)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (cbrt.f64 (exp.f64 (/.f64 x y)))) (cbrt.f64 (cbrt.f64 (exp.f64 (/.f64 x y)))))) (log.f64 (cbrt.f64 (cbrt.f64 (exp.f64 (/.f64 x y))))))
(+.f64 (log.f64 (sqrt.f64 (cbrt.f64 (exp.f64 (/.f64 x y))))) (log.f64 (sqrt.f64 (cbrt.f64 (exp.f64 (/.f64 x y))))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (/.f64 #s(literal 1/3 binary64) y)))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (*.f64 x (/.f64 #s(literal 1/3 binary64) y)))
(*.f64 x (/.f64 #s(literal 1/3 binary64) y))
(*.f64 #s(literal 1/3 binary64) (/.f64 x y))
(*.f64 (*.f64 x (/.f64 #s(literal 1/3 binary64) y)) #s(literal 1 binary64))
(*.f64 (*.f64 x #s(literal 1/3 binary64)) (/.f64 #s(literal 1 binary64) y))
(*.f64 (/.f64 x y) #s(literal 1/3 binary64))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 y #s(literal -3 binary64)) x)))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 x y)) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (/.f64 x y)) #s(literal 1/3 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 x y)) #s(literal 2 binary64)) (/.f64 (cbrt.f64 (/.f64 x y)) #s(literal 3 binary64)))
(*.f64 (cbrt.f64 (*.f64 x (/.f64 #s(literal 1/3 binary64) y))) (pow.f64 (cbrt.f64 (*.f64 x (/.f64 #s(literal 1/3 binary64) y))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 x (/.f64 #s(literal 1/3 binary64) y))) #s(literal 2 binary64)) (cbrt.f64 (*.f64 x (/.f64 #s(literal 1/3 binary64) y))))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 x #s(literal 1/3 binary64))) #s(literal 2 binary64)) (/.f64 (cbrt.f64 (*.f64 x #s(literal 1/3 binary64))) y))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 x #s(literal 1/3 binary64))) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (*.f64 x #s(literal 1/3 binary64))) (/.f64 #s(literal 1 binary64) y)))
(*.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (/.f64 (cbrt.f64 x) (*.f64 y #s(literal 3 binary64))))
(*.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (*.f64 (cbrt.f64 x) (/.f64 #s(literal 1/3 binary64) y)))
(*.f64 (sqrt.f64 (/.f64 x y)) (*.f64 (sqrt.f64 (/.f64 x y)) #s(literal 1/3 binary64)))
(*.f64 (sqrt.f64 (/.f64 x y)) (/.f64 (sqrt.f64 (/.f64 x y)) #s(literal 3 binary64)))
(*.f64 (sqrt.f64 (*.f64 x (/.f64 #s(literal 1/3 binary64) y))) (sqrt.f64 (*.f64 x (/.f64 #s(literal 1/3 binary64) y))))
(*.f64 (sqrt.f64 (*.f64 x #s(literal 1/3 binary64))) (/.f64 (sqrt.f64 (*.f64 x #s(literal 1/3 binary64))) y))
(*.f64 (sqrt.f64 (*.f64 x #s(literal 1/3 binary64))) (*.f64 (sqrt.f64 (*.f64 x #s(literal 1/3 binary64))) (/.f64 #s(literal 1 binary64) y)))
(*.f64 (sqrt.f64 x) (/.f64 (sqrt.f64 x) (*.f64 y #s(literal 3 binary64))))
(*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (/.f64 #s(literal 1/3 binary64) y)))
(*.f64 (*.f64 x #s(literal -1/3 binary64)) (/.f64 #s(literal 1 binary64) (neg.f64 y)))
(*.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) (*.f64 y #s(literal -3 binary64))))
(*.f64 (/.f64 (neg.f64 x) y) #s(literal -1/3 binary64))
(*.f64 (/.f64 #s(literal 1/3 binary64) y) x)
(*.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 x #s(literal 1/3 binary64)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 (*.f64 y #s(literal 3 binary64)) x)) #s(literal 2 binary64)) #s(literal -1 binary64)) (pow.f64 (cbrt.f64 (/.f64 (*.f64 y #s(literal 3 binary64)) x)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (/.f64 (*.f64 y #s(literal 3 binary64)) x)) #s(literal -1 binary64)) (pow.f64 (sqrt.f64 (/.f64 (*.f64 y #s(literal 3 binary64)) x)) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (/.f64 (*.f64 x #s(literal 1/3 binary64)) (cbrt.f64 y)))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 y)) (/.f64 (*.f64 x #s(literal 1/3 binary64)) (sqrt.f64 y)))
(*.f64 (/.f64 x (sqrt.f64 y)) (/.f64 #s(literal 1/3 binary64) (sqrt.f64 y)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (cbrt.f64 x) (*.f64 y #s(literal 3 binary64))))
(*.f64 (/.f64 (sqrt.f64 x) #s(literal 1 binary64)) (/.f64 (sqrt.f64 x) (*.f64 y #s(literal 3 binary64))))
(*.f64 (/.f64 (sqrt.f64 x) y) (/.f64 (sqrt.f64 x) #s(literal 3 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 (*.f64 y #s(literal 3 binary64))) #s(literal 2 binary64))) (/.f64 x (cbrt.f64 (*.f64 y #s(literal 3 binary64)))))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 y #s(literal 3 binary64)))) (/.f64 x (sqrt.f64 (*.f64 y #s(literal 3 binary64)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) y) (/.f64 (cbrt.f64 x) #s(literal 3 binary64)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 (*.f64 y #s(literal 3 binary64))) #s(literal 2 binary64))) (cbrt.f64 (*.f64 x (/.f64 #s(literal 1/3 binary64) y))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (sqrt.f64 (*.f64 y #s(literal 3 binary64)))) (/.f64 (cbrt.f64 x) (sqrt.f64 (*.f64 y #s(literal 3 binary64)))))
(*.f64 (/.f64 (sqrt.f64 x) #s(literal 3 binary64)) (/.f64 (sqrt.f64 x) y))
(*.f64 (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 (*.f64 y #s(literal 3 binary64))) #s(literal 2 binary64))) (/.f64 (sqrt.f64 x) (cbrt.f64 (*.f64 y #s(literal 3 binary64)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) #s(literal 3 binary64)) (/.f64 (cbrt.f64 x) y))
(*.f64 (/.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1/3 binary64) y))
(*.f64 (/.f64 x (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (/.f64 #s(literal 1/3 binary64) (cbrt.f64 y)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 x #s(literal 1/3 binary64))) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (cbrt.f64 (*.f64 x #s(literal 1/3 binary64))) y))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 x #s(literal 1/3 binary64))) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (cbrt.f64 (*.f64 x (/.f64 #s(literal 1/3 binary64) y))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 x #s(literal 1/3 binary64))) #s(literal 2 binary64)) (sqrt.f64 y)) (/.f64 (cbrt.f64 (*.f64 x #s(literal 1/3 binary64))) (sqrt.f64 y)))
(*.f64 (/.f64 (sqrt.f64 (*.f64 x #s(literal 1/3 binary64))) #s(literal 1 binary64)) (/.f64 (sqrt.f64 (*.f64 x #s(literal 1/3 binary64))) y))
(*.f64 (/.f64 (sqrt.f64 (*.f64 x #s(literal 1/3 binary64))) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (/.f64 (sqrt.f64 (*.f64 x #s(literal 1/3 binary64))) (cbrt.f64 y)))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)) (*.f64 x #s(literal 1/3 binary64)))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) #s(literal -3 binary64)) (neg.f64 x))
(pow.f64 (/.f64 (*.f64 y #s(literal 3 binary64)) x) #s(literal -1 binary64))
(pow.f64 (*.f64 x (/.f64 #s(literal 1/3 binary64) y)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 x (/.f64 #s(literal 1/3 binary64) y))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 x (/.f64 #s(literal 1/3 binary64) y)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 x (/.f64 #s(literal 1/3 binary64) y))) #s(literal 2 binary64))
(neg.f64 (/.f64 (*.f64 x #s(literal 1/3 binary64)) (neg.f64 y)))
(neg.f64 (/.f64 x (*.f64 y #s(literal -3 binary64))))
(neg.f64 (/.f64 (/.f64 x y) #s(literal -3 binary64)))
(neg.f64 (/.f64 #s(literal -1 binary64) (/.f64 (*.f64 y #s(literal 3 binary64)) x)))
(neg.f64 (/.f64 (*.f64 x #s(literal -1/3 binary64)) y))
(neg.f64 (/.f64 (neg.f64 x) (*.f64 y #s(literal 3 binary64))))
(sqrt.f64 (pow.f64 (/.f64 (*.f64 y #s(literal 3 binary64)) x) #s(literal -2 binary64)))
(log.f64 (cbrt.f64 (exp.f64 (/.f64 x y))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x (/.f64 #s(literal 1/3 binary64) y)))))
(cbrt.f64 (pow.f64 (*.f64 x (/.f64 #s(literal 1/3 binary64) y)) #s(literal 3 binary64)))
(cbrt.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 y #s(literal 3 binary64)) #s(literal 3 binary64))))
(cbrt.f64 (/.f64 (pow.f64 (*.f64 x #s(literal 1/3 binary64)) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 x (/.f64 #s(literal 1/3 binary64) y))))
(log1p.f64 (expm1.f64 (*.f64 x (/.f64 #s(literal 1/3 binary64) y))))
(exp.f64 (log.f64 (*.f64 x (/.f64 #s(literal 1/3 binary64) y))))
(exp.f64 (*.f64 (log.f64 (/.f64 (*.f64 y #s(literal 3 binary64)) x)) #s(literal -1 binary64)))
(exp.f64 (*.f64 (log.f64 (*.f64 x (/.f64 #s(literal 1/3 binary64) y))) #s(literal 1 binary64)))
(+.f64 #s(literal 0 binary64) (/.f64 x y))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (/.f64 x y))) (cbrt.f64 (exp.f64 (/.f64 x y))))) (*.f64 x (/.f64 #s(literal 1/3 binary64) y)))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 x y)))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 x y)))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 x y))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 x y))
(*.f64 x (/.f64 #s(literal 1 binary64) y))
(*.f64 (/.f64 x y) #s(literal 1 binary64))
(*.f64 (cbrt.f64 (/.f64 x y)) (pow.f64 (cbrt.f64 (/.f64 x y)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 x y)) #s(literal 2 binary64)) (cbrt.f64 (/.f64 x y)))
(*.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (/.f64 (cbrt.f64 x) y))
(*.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (*.f64 (cbrt.f64 x) (/.f64 #s(literal 1 binary64) y)))
(*.f64 (sqrt.f64 (/.f64 x y)) (sqrt.f64 (/.f64 x y)))
(*.f64 (sqrt.f64 x) (/.f64 (sqrt.f64 x) y))
(*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (/.f64 #s(literal 1 binary64) y)))
(*.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) (neg.f64 y)))
(*.f64 (/.f64 #s(literal 1 binary64) y) x)
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (/.f64 x (cbrt.f64 y)))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 y)) (/.f64 x (sqrt.f64 y)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (cbrt.f64 x) y))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (cbrt.f64 (/.f64 x y)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (sqrt.f64 y)) (/.f64 (cbrt.f64 x) (sqrt.f64 y)))
(*.f64 (/.f64 (sqrt.f64 x) #s(literal 1 binary64)) (/.f64 (sqrt.f64 x) y))
(*.f64 (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (/.f64 (sqrt.f64 x) (cbrt.f64 y)))
(pow.f64 (/.f64 x y) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (/.f64 x y)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (/.f64 x y)) #s(literal 2 binary64))
(pow.f64 (/.f64 y x) #s(literal -1 binary64))
(neg.f64 (/.f64 (neg.f64 x) y))
(sqrt.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)))
(log.f64 (exp.f64 (/.f64 x y)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 x y))))
(log.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (exp.f64 (/.f64 x y)))))
(log.f64 (/.f64 #s(literal 1 binary64) (exp.f64 (/.f64 (neg.f64 x) y))))
(cbrt.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)))
(cbrt.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (/.f64 x y)))
(log1p.f64 (expm1.f64 (/.f64 x y)))
(exp.f64 (log.f64 (/.f64 x y)))
(exp.f64 (*.f64 (log.f64 (/.f64 x y)) #s(literal 1 binary64)))

simplify272.0ms (9.4%)

Algorithm
1×egg-herbie
Rules
508×cube-prod
495×exp-prod
367×distribute-lft-neg-out
332×distribute-lft-neg-in
325×swap-sqr
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
050812238
197212152
2373812120
Stop Event
1×node limit
Counts
630 → 295
Calls
Call 1
Inputs
(*.f64 #s(literal 1/3 binary64) (/.f64 x y))
(*.f64 #s(literal 1/3 binary64) (/.f64 x y))
(*.f64 #s(literal 1/3 binary64) (/.f64 x y))
(*.f64 #s(literal 1/3 binary64) (/.f64 x y))
(*.f64 #s(literal 1/3 binary64) (/.f64 x y))
(*.f64 #s(literal 1/3 binary64) (/.f64 x y))
(*.f64 #s(literal 1/3 binary64) (/.f64 x y))
(*.f64 #s(literal 1/3 binary64) (/.f64 x y))
(*.f64 #s(literal 1/3 binary64) (/.f64 x y))
(*.f64 #s(literal 1/3 binary64) (/.f64 x y))
(*.f64 #s(literal 1/3 binary64) (/.f64 x y))
(*.f64 #s(literal 1/3 binary64) (/.f64 x y))
(*.f64 #s(literal 1/3 binary64) (/.f64 x y))
(*.f64 #s(literal 1/3 binary64) (/.f64 x y))
(*.f64 #s(literal 1/3 binary64) (/.f64 x y))
(*.f64 #s(literal 1/3 binary64) (/.f64 x y))
(*.f64 #s(literal 1/3 binary64) (/.f64 x y))
(*.f64 #s(literal 1/3 binary64) (/.f64 x y))
(*.f64 #s(literal 1/3 binary64) (/.f64 x y))
(*.f64 #s(literal 1/3 binary64) (/.f64 x y))
(*.f64 #s(literal 1/3 binary64) (/.f64 x y))
(*.f64 #s(literal 1/3 binary64) (/.f64 x y))
(*.f64 #s(literal 1/3 binary64) (/.f64 x y))
(*.f64 #s(literal 1/3 binary64) (/.f64 x y))
(*.f64 #s(literal 3 binary64) (/.f64 y x))
(*.f64 #s(literal 3 binary64) (/.f64 y x))
(*.f64 #s(literal 3 binary64) (/.f64 y x))
(*.f64 #s(literal 3 binary64) (/.f64 y x))
(*.f64 #s(literal 3 binary64) (/.f64 y x))
(*.f64 #s(literal 3 binary64) (/.f64 y x))
(*.f64 #s(literal 3 binary64) (/.f64 y x))
(*.f64 #s(literal 3 binary64) (/.f64 y x))
(*.f64 #s(literal 3 binary64) (/.f64 y x))
(*.f64 #s(literal 3 binary64) (/.f64 y x))
(*.f64 #s(literal 3 binary64) (/.f64 y x))
(*.f64 #s(literal 3 binary64) (/.f64 y x))
(*.f64 #s(literal 3 binary64) (/.f64 y x))
(*.f64 #s(literal 3 binary64) (/.f64 y x))
(*.f64 #s(literal 3 binary64) (/.f64 y x))
(*.f64 #s(literal 3 binary64) (/.f64 y x))
(*.f64 #s(literal 3 binary64) (/.f64 y x))
(*.f64 #s(literal 3 binary64) (/.f64 y x))
(*.f64 #s(literal 3 binary64) (/.f64 y x))
(*.f64 #s(literal 3 binary64) (/.f64 y x))
(*.f64 #s(literal 3 binary64) (/.f64 y x))
(*.f64 #s(literal 3 binary64) (/.f64 y x))
(*.f64 #s(literal 3 binary64) (/.f64 y x))
(*.f64 #s(literal 3 binary64) (/.f64 y x))
(*.f64 #s(literal 1/3 binary64) (/.f64 x y))
(*.f64 #s(literal 1/3 binary64) (/.f64 x y))
(*.f64 #s(literal 1/3 binary64) (/.f64 x y))
(*.f64 #s(literal 1/3 binary64) (/.f64 x y))
(*.f64 #s(literal 1/3 binary64) (/.f64 x y))
(*.f64 #s(literal 1/3 binary64) (/.f64 x y))
(*.f64 #s(literal 1/3 binary64) (/.f64 x y))
(*.f64 #s(literal 1/3 binary64) (/.f64 x y))
(*.f64 #s(literal 1/3 binary64) (/.f64 x y))
(*.f64 #s(literal 1/3 binary64) (/.f64 x y))
(*.f64 #s(literal 1/3 binary64) (/.f64 x y))
(*.f64 #s(literal 1/3 binary64) (/.f64 x y))
(*.f64 #s(literal 1/3 binary64) (/.f64 x y))
(*.f64 #s(literal 1/3 binary64) (/.f64 x y))
(*.f64 #s(literal 1/3 binary64) (/.f64 x y))
(*.f64 #s(literal 1/3 binary64) (/.f64 x y))
(*.f64 #s(literal 1/3 binary64) (/.f64 x y))
(*.f64 #s(literal 1/3 binary64) (/.f64 x y))
(*.f64 #s(literal 1/3 binary64) (/.f64 x y))
(*.f64 #s(literal 1/3 binary64) (/.f64 x y))
(*.f64 #s(literal 1/3 binary64) (/.f64 x y))
(*.f64 #s(literal 1/3 binary64) (/.f64 x y))
(*.f64 #s(literal 1/3 binary64) (/.f64 x y))
(*.f64 #s(literal 1/3 binary64) (/.f64 x y))
(*.f64 #s(literal 3 binary64) y)
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(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 x #s(literal 1/3 binary64))) #s(literal 2 binary64)) (sqrt.f64 y)) (/.f64 (cbrt.f64 (*.f64 x #s(literal 1/3 binary64))) (sqrt.f64 y)))
(*.f64 (/.f64 (sqrt.f64 (*.f64 x #s(literal 1/3 binary64))) #s(literal 1 binary64)) (/.f64 (sqrt.f64 (*.f64 x #s(literal 1/3 binary64))) y))
(*.f64 (/.f64 (sqrt.f64 (*.f64 x #s(literal 1/3 binary64))) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (/.f64 (sqrt.f64 (*.f64 x #s(literal 1/3 binary64))) (cbrt.f64 y)))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)) (*.f64 x #s(literal 1/3 binary64)))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) #s(literal -3 binary64)) (neg.f64 x))
(pow.f64 (/.f64 (*.f64 y #s(literal 3 binary64)) x) #s(literal -1 binary64))
(pow.f64 (*.f64 x (/.f64 #s(literal 1/3 binary64) y)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 x (/.f64 #s(literal 1/3 binary64) y))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 x (/.f64 #s(literal 1/3 binary64) y)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 x (/.f64 #s(literal 1/3 binary64) y))) #s(literal 2 binary64))
(neg.f64 (/.f64 (*.f64 x #s(literal 1/3 binary64)) (neg.f64 y)))
(neg.f64 (/.f64 x (*.f64 y #s(literal -3 binary64))))
(neg.f64 (/.f64 (/.f64 x y) #s(literal -3 binary64)))
(neg.f64 (/.f64 #s(literal -1 binary64) (/.f64 (*.f64 y #s(literal 3 binary64)) x)))
(neg.f64 (/.f64 (*.f64 x #s(literal -1/3 binary64)) y))
(neg.f64 (/.f64 (neg.f64 x) (*.f64 y #s(literal 3 binary64))))
(sqrt.f64 (pow.f64 (/.f64 (*.f64 y #s(literal 3 binary64)) x) #s(literal -2 binary64)))
(log.f64 (cbrt.f64 (exp.f64 (/.f64 x y))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x (/.f64 #s(literal 1/3 binary64) y)))))
(cbrt.f64 (pow.f64 (*.f64 x (/.f64 #s(literal 1/3 binary64) y)) #s(literal 3 binary64)))
(cbrt.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 y #s(literal 3 binary64)) #s(literal 3 binary64))))
(cbrt.f64 (/.f64 (pow.f64 (*.f64 x #s(literal 1/3 binary64)) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 x (/.f64 #s(literal 1/3 binary64) y))))
(log1p.f64 (expm1.f64 (*.f64 x (/.f64 #s(literal 1/3 binary64) y))))
(exp.f64 (log.f64 (*.f64 x (/.f64 #s(literal 1/3 binary64) y))))
(exp.f64 (*.f64 (log.f64 (/.f64 (*.f64 y #s(literal 3 binary64)) x)) #s(literal -1 binary64)))
(exp.f64 (*.f64 (log.f64 (*.f64 x (/.f64 #s(literal 1/3 binary64) y))) #s(literal 1 binary64)))
(+.f64 #s(literal 0 binary64) (*.f64 x #s(literal 1/3 binary64)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (cbrt.f64 (exp.f64 x))) (cbrt.f64 (cbrt.f64 (exp.f64 x))))) (log.f64 (cbrt.f64 (cbrt.f64 (exp.f64 x)))))
(+.f64 (log.f64 (sqrt.f64 (cbrt.f64 (exp.f64 x)))) (log.f64 (sqrt.f64 (cbrt.f64 (exp.f64 x)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x #s(literal 1/3 binary64)))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/3 binary64)))
(*.f64 x #s(literal 1/3 binary64))
(*.f64 #s(literal 1/3 binary64) x)
(*.f64 (*.f64 x #s(literal 1/3 binary64)) #s(literal 1 binary64))
(*.f64 (cbrt.f64 (*.f64 x #s(literal 1/3 binary64))) (pow.f64 (cbrt.f64 (*.f64 x #s(literal 1/3 binary64))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 x #s(literal 1/3 binary64))) #s(literal 2 binary64)) (cbrt.f64 (*.f64 x #s(literal 1/3 binary64))))
(*.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (/.f64 (cbrt.f64 x) #s(literal 3 binary64)))
(*.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (*.f64 (cbrt.f64 x) #s(literal 1/3 binary64)))
(*.f64 (sqrt.f64 (*.f64 x #s(literal 1/3 binary64))) (sqrt.f64 (*.f64 x #s(literal 1/3 binary64))))
(*.f64 (sqrt.f64 x) (/.f64 (sqrt.f64 x) #s(literal 3 binary64)))
(*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) #s(literal 1/3 binary64)))
(*.f64 #s(literal -1/3 binary64) (neg.f64 x))
(*.f64 (neg.f64 x) #s(literal -1/3 binary64))
(pow.f64 (/.f64 #s(literal 3 binary64) x) #s(literal -1 binary64))
(pow.f64 (*.f64 x #s(literal 1/3 binary64)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 x #s(literal 1/3 binary64))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 x #s(literal 1/3 binary64)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 x #s(literal 1/3 binary64))) #s(literal 2 binary64))
(neg.f64 (*.f64 x #s(literal -1/3 binary64)))
(sqrt.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/9 binary64)))
(log.f64 (cbrt.f64 (exp.f64 x)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x #s(literal 1/3 binary64)))))
(log.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (cbrt.f64 (exp.f64 x)))))
(log.f64 (/.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -1/3 binary64)))))
(cbrt.f64 (pow.f64 (*.f64 x #s(literal 1/3 binary64)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 x #s(literal 1/3 binary64))))
(log1p.f64 (expm1.f64 (*.f64 x #s(literal 1/3 binary64))))
(exp.f64 (log.f64 (*.f64 x #s(literal 1/3 binary64))))
(exp.f64 (*.f64 (log.f64 (*.f64 x #s(literal 1/3 binary64))) #s(literal 1 binary64)))
(+.f64 #s(literal 0 binary64) (*.f64 x (/.f64 #s(literal 1/3 binary64) y)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (cbrt.f64 (exp.f64 (/.f64 x y)))) (cbrt.f64 (cbrt.f64 (exp.f64 (/.f64 x y)))))) (log.f64 (cbrt.f64 (cbrt.f64 (exp.f64 (/.f64 x y))))))
(+.f64 (log.f64 (sqrt.f64 (cbrt.f64 (exp.f64 (/.f64 x y))))) (log.f64 (sqrt.f64 (cbrt.f64 (exp.f64 (/.f64 x y))))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (/.f64 #s(literal 1/3 binary64) y)))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (*.f64 x (/.f64 #s(literal 1/3 binary64) y)))
(*.f64 x (/.f64 #s(literal 1/3 binary64) y))
(*.f64 #s(literal 1/3 binary64) (/.f64 x y))
(*.f64 (*.f64 x (/.f64 #s(literal 1/3 binary64) y)) #s(literal 1 binary64))
(*.f64 (*.f64 x #s(literal 1/3 binary64)) (/.f64 #s(literal 1 binary64) y))
(*.f64 (/.f64 x y) #s(literal 1/3 binary64))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 y #s(literal -3 binary64)) x)))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 x y)) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (/.f64 x y)) #s(literal 1/3 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 x y)) #s(literal 2 binary64)) (/.f64 (cbrt.f64 (/.f64 x y)) #s(literal 3 binary64)))
(*.f64 (cbrt.f64 (*.f64 x (/.f64 #s(literal 1/3 binary64) y))) (pow.f64 (cbrt.f64 (*.f64 x (/.f64 #s(literal 1/3 binary64) y))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 x (/.f64 #s(literal 1/3 binary64) y))) #s(literal 2 binary64)) (cbrt.f64 (*.f64 x (/.f64 #s(literal 1/3 binary64) y))))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 x #s(literal 1/3 binary64))) #s(literal 2 binary64)) (/.f64 (cbrt.f64 (*.f64 x #s(literal 1/3 binary64))) y))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 x #s(literal 1/3 binary64))) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (*.f64 x #s(literal 1/3 binary64))) (/.f64 #s(literal 1 binary64) y)))
(*.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (/.f64 (cbrt.f64 x) (*.f64 y #s(literal 3 binary64))))
(*.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (*.f64 (cbrt.f64 x) (/.f64 #s(literal 1/3 binary64) y)))
(*.f64 (sqrt.f64 (/.f64 x y)) (*.f64 (sqrt.f64 (/.f64 x y)) #s(literal 1/3 binary64)))
(*.f64 (sqrt.f64 (/.f64 x y)) (/.f64 (sqrt.f64 (/.f64 x y)) #s(literal 3 binary64)))
(*.f64 (sqrt.f64 (*.f64 x (/.f64 #s(literal 1/3 binary64) y))) (sqrt.f64 (*.f64 x (/.f64 #s(literal 1/3 binary64) y))))
(*.f64 (sqrt.f64 (*.f64 x #s(literal 1/3 binary64))) (/.f64 (sqrt.f64 (*.f64 x #s(literal 1/3 binary64))) y))
(*.f64 (sqrt.f64 (*.f64 x #s(literal 1/3 binary64))) (*.f64 (sqrt.f64 (*.f64 x #s(literal 1/3 binary64))) (/.f64 #s(literal 1 binary64) y)))
(*.f64 (sqrt.f64 x) (/.f64 (sqrt.f64 x) (*.f64 y #s(literal 3 binary64))))
(*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (/.f64 #s(literal 1/3 binary64) y)))
(*.f64 (*.f64 x #s(literal -1/3 binary64)) (/.f64 #s(literal 1 binary64) (neg.f64 y)))
(*.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) (*.f64 y #s(literal -3 binary64))))
(*.f64 (/.f64 (neg.f64 x) y) #s(literal -1/3 binary64))
(*.f64 (/.f64 #s(literal 1/3 binary64) y) x)
(*.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 x #s(literal 1/3 binary64)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 (*.f64 y #s(literal 3 binary64)) x)) #s(literal 2 binary64)) #s(literal -1 binary64)) (pow.f64 (cbrt.f64 (/.f64 (*.f64 y #s(literal 3 binary64)) x)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (/.f64 (*.f64 y #s(literal 3 binary64)) x)) #s(literal -1 binary64)) (pow.f64 (sqrt.f64 (/.f64 (*.f64 y #s(literal 3 binary64)) x)) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (/.f64 (*.f64 x #s(literal 1/3 binary64)) (cbrt.f64 y)))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 y)) (/.f64 (*.f64 x #s(literal 1/3 binary64)) (sqrt.f64 y)))
(*.f64 (/.f64 x (sqrt.f64 y)) (/.f64 #s(literal 1/3 binary64) (sqrt.f64 y)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (cbrt.f64 x) (*.f64 y #s(literal 3 binary64))))
(*.f64 (/.f64 (sqrt.f64 x) #s(literal 1 binary64)) (/.f64 (sqrt.f64 x) (*.f64 y #s(literal 3 binary64))))
(*.f64 (/.f64 (sqrt.f64 x) y) (/.f64 (sqrt.f64 x) #s(literal 3 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 (*.f64 y #s(literal 3 binary64))) #s(literal 2 binary64))) (/.f64 x (cbrt.f64 (*.f64 y #s(literal 3 binary64)))))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 y #s(literal 3 binary64)))) (/.f64 x (sqrt.f64 (*.f64 y #s(literal 3 binary64)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) y) (/.f64 (cbrt.f64 x) #s(literal 3 binary64)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 (*.f64 y #s(literal 3 binary64))) #s(literal 2 binary64))) (cbrt.f64 (*.f64 x (/.f64 #s(literal 1/3 binary64) y))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (sqrt.f64 (*.f64 y #s(literal 3 binary64)))) (/.f64 (cbrt.f64 x) (sqrt.f64 (*.f64 y #s(literal 3 binary64)))))
(*.f64 (/.f64 (sqrt.f64 x) #s(literal 3 binary64)) (/.f64 (sqrt.f64 x) y))
(*.f64 (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 (*.f64 y #s(literal 3 binary64))) #s(literal 2 binary64))) (/.f64 (sqrt.f64 x) (cbrt.f64 (*.f64 y #s(literal 3 binary64)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) #s(literal 3 binary64)) (/.f64 (cbrt.f64 x) y))
(*.f64 (/.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1/3 binary64) y))
(*.f64 (/.f64 x (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (/.f64 #s(literal 1/3 binary64) (cbrt.f64 y)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 x #s(literal 1/3 binary64))) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (cbrt.f64 (*.f64 x #s(literal 1/3 binary64))) y))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 x #s(literal 1/3 binary64))) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (cbrt.f64 (*.f64 x (/.f64 #s(literal 1/3 binary64) y))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 x #s(literal 1/3 binary64))) #s(literal 2 binary64)) (sqrt.f64 y)) (/.f64 (cbrt.f64 (*.f64 x #s(literal 1/3 binary64))) (sqrt.f64 y)))
(*.f64 (/.f64 (sqrt.f64 (*.f64 x #s(literal 1/3 binary64))) #s(literal 1 binary64)) (/.f64 (sqrt.f64 (*.f64 x #s(literal 1/3 binary64))) y))
(*.f64 (/.f64 (sqrt.f64 (*.f64 x #s(literal 1/3 binary64))) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (/.f64 (sqrt.f64 (*.f64 x #s(literal 1/3 binary64))) (cbrt.f64 y)))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)) (*.f64 x #s(literal 1/3 binary64)))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) #s(literal -3 binary64)) (neg.f64 x))
(pow.f64 (/.f64 (*.f64 y #s(literal 3 binary64)) x) #s(literal -1 binary64))
(pow.f64 (*.f64 x (/.f64 #s(literal 1/3 binary64) y)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 x (/.f64 #s(literal 1/3 binary64) y))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 x (/.f64 #s(literal 1/3 binary64) y)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 x (/.f64 #s(literal 1/3 binary64) y))) #s(literal 2 binary64))
(neg.f64 (/.f64 (*.f64 x #s(literal 1/3 binary64)) (neg.f64 y)))
(neg.f64 (/.f64 x (*.f64 y #s(literal -3 binary64))))
(neg.f64 (/.f64 (/.f64 x y) #s(literal -3 binary64)))
(neg.f64 (/.f64 #s(literal -1 binary64) (/.f64 (*.f64 y #s(literal 3 binary64)) x)))
(neg.f64 (/.f64 (*.f64 x #s(literal -1/3 binary64)) y))
(neg.f64 (/.f64 (neg.f64 x) (*.f64 y #s(literal 3 binary64))))
(sqrt.f64 (pow.f64 (/.f64 (*.f64 y #s(literal 3 binary64)) x) #s(literal -2 binary64)))
(log.f64 (cbrt.f64 (exp.f64 (/.f64 x y))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x (/.f64 #s(literal 1/3 binary64) y)))))
(cbrt.f64 (pow.f64 (*.f64 x (/.f64 #s(literal 1/3 binary64) y)) #s(literal 3 binary64)))
(cbrt.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 y #s(literal 3 binary64)) #s(literal 3 binary64))))
(cbrt.f64 (/.f64 (pow.f64 (*.f64 x #s(literal 1/3 binary64)) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 x (/.f64 #s(literal 1/3 binary64) y))))
(log1p.f64 (expm1.f64 (*.f64 x (/.f64 #s(literal 1/3 binary64) y))))
(exp.f64 (log.f64 (*.f64 x (/.f64 #s(literal 1/3 binary64) y))))
(exp.f64 (*.f64 (log.f64 (/.f64 (*.f64 y #s(literal 3 binary64)) x)) #s(literal -1 binary64)))
(exp.f64 (*.f64 (log.f64 (*.f64 x (/.f64 #s(literal 1/3 binary64) y))) #s(literal 1 binary64)))
(+.f64 #s(literal 0 binary64) (/.f64 x y))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (/.f64 x y))) (cbrt.f64 (exp.f64 (/.f64 x y))))) (*.f64 x (/.f64 #s(literal 1/3 binary64) y)))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 x y)))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 x y)))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 x y))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 x y))
(*.f64 x (/.f64 #s(literal 1 binary64) y))
(*.f64 (/.f64 x y) #s(literal 1 binary64))
(*.f64 (cbrt.f64 (/.f64 x y)) (pow.f64 (cbrt.f64 (/.f64 x y)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 x y)) #s(literal 2 binary64)) (cbrt.f64 (/.f64 x y)))
(*.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (/.f64 (cbrt.f64 x) y))
(*.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (*.f64 (cbrt.f64 x) (/.f64 #s(literal 1 binary64) y)))
(*.f64 (sqrt.f64 (/.f64 x y)) (sqrt.f64 (/.f64 x y)))
(*.f64 (sqrt.f64 x) (/.f64 (sqrt.f64 x) y))
(*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (/.f64 #s(literal 1 binary64) y)))
(*.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) (neg.f64 y)))
(*.f64 (/.f64 #s(literal 1 binary64) y) x)
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (/.f64 x (cbrt.f64 y)))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 y)) (/.f64 x (sqrt.f64 y)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (cbrt.f64 x) y))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (cbrt.f64 (/.f64 x y)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (sqrt.f64 y)) (/.f64 (cbrt.f64 x) (sqrt.f64 y)))
(*.f64 (/.f64 (sqrt.f64 x) #s(literal 1 binary64)) (/.f64 (sqrt.f64 x) y))
(*.f64 (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (/.f64 (sqrt.f64 x) (cbrt.f64 y)))
(pow.f64 (/.f64 x y) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (/.f64 x y)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (/.f64 x y)) #s(literal 2 binary64))
(pow.f64 (/.f64 y x) #s(literal -1 binary64))
(neg.f64 (/.f64 (neg.f64 x) y))
(sqrt.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)))
(log.f64 (exp.f64 (/.f64 x y)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 x y))))
(log.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (exp.f64 (/.f64 x y)))))
(log.f64 (/.f64 #s(literal 1 binary64) (exp.f64 (/.f64 (neg.f64 x) y))))
(cbrt.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)))
(cbrt.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (/.f64 x y)))
(log1p.f64 (expm1.f64 (/.f64 x y)))
(exp.f64 (log.f64 (/.f64 x y)))
(exp.f64 (*.f64 (log.f64 (/.f64 x y)) #s(literal 1 binary64)))
Outputs
(*.f64 #s(literal 1/3 binary64) (/.f64 x y))
(/.f64 (*.f64 #s(literal 1/3 binary64) x) y)
(*.f64 x (/.f64 #s(literal 1/3 binary64) y))
(/.f64 x (*.f64 y #s(literal 3 binary64)))
(*.f64 #s(literal 1/3 binary64) (/.f64 x y))
(/.f64 (*.f64 #s(literal 1/3 binary64) x) y)
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(+.f64 (/.f64 (*.f64 #s(literal 1/3 binary64) x) y) (log.f64 (*.f64 (cbrt.f64 (exp.f64 (/.f64 x y))) (cbrt.f64 (exp.f64 (/.f64 x y))))))
(fma.f64 #s(literal 1/3 binary64) (/.f64 x y) (log.f64 (*.f64 (cbrt.f64 (exp.f64 (/.f64 x y))) (cbrt.f64 (exp.f64 (/.f64 x y))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 x y)))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 x y)))))
(*.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 (exp.f64 (/.f64 x y)))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 x y))) #s(literal 1 binary64))
(expm1.f64 (log1p.f64 (/.f64 x y)))
(*.f64 #s(literal 1 binary64) (/.f64 x y))
(/.f64 x y)
(*.f64 x (/.f64 #s(literal 1 binary64) y))
(/.f64 x y)
(*.f64 (/.f64 x y) #s(literal 1 binary64))
(/.f64 x y)
(*.f64 (cbrt.f64 (/.f64 x y)) (pow.f64 (cbrt.f64 (/.f64 x y)) #s(literal 2 binary64)))
(/.f64 x y)
(*.f64 (pow.f64 (cbrt.f64 (/.f64 x y)) #s(literal 2 binary64)) (cbrt.f64 (/.f64 x y)))
(/.f64 x y)
(*.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (/.f64 (cbrt.f64 x) y))
(/.f64 x y)
(*.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (*.f64 (cbrt.f64 x) (/.f64 #s(literal 1 binary64) y)))
(/.f64 x y)
(*.f64 (sqrt.f64 (/.f64 x y)) (sqrt.f64 (/.f64 x y)))
(/.f64 x y)
(*.f64 (sqrt.f64 x) (/.f64 (sqrt.f64 x) y))
(/.f64 x y)
(*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (/.f64 #s(literal 1 binary64) y)))
(/.f64 x y)
(*.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) (neg.f64 y)))
(/.f64 x y)
(*.f64 (/.f64 #s(literal 1 binary64) y) x)
(/.f64 x y)
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (/.f64 x (cbrt.f64 y)))
(/.f64 (/.f64 x (cbrt.f64 y)) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 y)) (/.f64 x (sqrt.f64 y)))
(/.f64 (/.f64 x (sqrt.f64 y)) (sqrt.f64 y))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (cbrt.f64 x) y))
(/.f64 x y)
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (cbrt.f64 (/.f64 x y)))
(*.f64 (cbrt.f64 (/.f64 x y)) (/.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))))
(/.f64 (*.f64 (cbrt.f64 (/.f64 x y)) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (sqrt.f64 y)) (/.f64 (cbrt.f64 x) (sqrt.f64 y)))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 y)) (/.f64 x (sqrt.f64 y)))
(/.f64 (/.f64 x (sqrt.f64 y)) (sqrt.f64 y))
(*.f64 (/.f64 (sqrt.f64 x) #s(literal 1 binary64)) (/.f64 (sqrt.f64 x) y))
(/.f64 x y)
(*.f64 (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (/.f64 (sqrt.f64 x) (cbrt.f64 y)))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (/.f64 x (cbrt.f64 y)))
(/.f64 (/.f64 x (cbrt.f64 y)) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)))
(pow.f64 (/.f64 x y) #s(literal 1 binary64))
(/.f64 x y)
(pow.f64 (cbrt.f64 (/.f64 x y)) #s(literal 3 binary64))
(/.f64 x y)
(pow.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(/.f64 x y)
(pow.f64 (sqrt.f64 (/.f64 x y)) #s(literal 2 binary64))
(/.f64 x y)
(pow.f64 (/.f64 y x) #s(literal -1 binary64))
(/.f64 x y)
(neg.f64 (/.f64 (neg.f64 x) y))
(/.f64 x y)
(sqrt.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)))
(/.f64 x y)
(log.f64 (exp.f64 (/.f64 x y)))
(/.f64 x y)
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 x y))))
(/.f64 x y)
(log.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (exp.f64 (/.f64 x y)))))
(/.f64 x y)
(log.f64 (/.f64 #s(literal 1 binary64) (exp.f64 (/.f64 (neg.f64 x) y))))
(/.f64 x y)
(cbrt.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)))
(/.f64 x y)
(cbrt.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))
(/.f64 x y)
(expm1.f64 (log1p.f64 (/.f64 x y)))
(log1p.f64 (expm1.f64 (/.f64 x y)))
(/.f64 x y)
(exp.f64 (log.f64 (/.f64 x y)))
(/.f64 x y)
(exp.f64 (*.f64 (log.f64 (/.f64 x y)) #s(literal 1 binary64)))
(/.f64 x y)

eval94.0ms (3.2%)

Compiler

Compiled 3009 to 805 computations (73.2% saved)

prune38.0ms (1.3%)

Pruning

6 alts after pruning (0 fresh and 6 done)

PrunedKeptTotal
New2950295
Fresh000
Picked044
Done022
Total2956301
Accuracy
100.0%
Counts
301 → 6
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓99.4%
(/.f64 (/.f64 x y) #s(literal 3 binary64))
✓99.7%
(/.f64 (/.f64 x #s(literal 3 binary64)) y)
✓99.2%
(/.f64 x (/.f64 y #s(literal 1/3 binary64)))
✓99.3%
(/.f64 x (*.f64 y #s(literal 3 binary64)))
✓98.9%
(/.f64 #s(literal 1 binary64) (*.f64 y (/.f64 #s(literal 3 binary64) x)))
✓99.5%
(*.f64 x (/.f64 #s(literal 1/3 binary64) y))
Compiler

Compiled 78 to 50 computations (35.9% saved)

regimes11.0ms (0.4%)

Counts
6 → 1
Calls
Call 1
Inputs
(*.f64 x (/.f64 #s(literal 1/3 binary64) y))
(/.f64 x (*.f64 y #s(literal 3 binary64)))
(/.f64 x (/.f64 y #s(literal 1/3 binary64)))
(/.f64 (/.f64 x #s(literal 3 binary64)) y)
(/.f64 (/.f64 x y) #s(literal 3 binary64))
(/.f64 #s(literal 1 binary64) (*.f64 y (/.f64 #s(literal 3 binary64) x)))
Outputs
(/.f64 (/.f64 x #s(literal 3 binary64)) y)
Calls

4 calls:

3.0ms
(*.f64 y #s(literal 3 binary64))
3.0ms
x
3.0ms
y
2.0ms
(/.f64 x (*.f64 y #s(literal 3 binary64)))
Results
AccuracySegmentsBranch
99.7%1x
99.7%1y
99.7%1(/.f64 x (*.f64 y #s(literal 3 binary64)))
99.7%1(*.f64 y #s(literal 3 binary64))
Compiler

Compiled 18 to 13 computations (27.8% saved)

regimes8.0ms (0.3%)

Accuracy

Total -0.4b remaining (-113.3%)

Threshold costs -0.4b (-113.3%)

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

4 calls:

2.0ms
x
2.0ms
(*.f64 y #s(literal 3 binary64))
2.0ms
y
2.0ms
(/.f64 x (*.f64 y #s(literal 3 binary64)))
Results
AccuracySegmentsBranch
99.5%1x
99.5%1y
99.5%1(/.f64 x (*.f64 y #s(literal 3 binary64)))
99.5%1(*.f64 y #s(literal 3 binary64))
Compiler

Compiled 18 to 13 computations (27.8% saved)

simplify2.0ms (0.1%)

Algorithm
1×egg-herbie
Rules
1×*-commutative
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01338
11438
Stop Event
1×saturated
Calls
Call 1
Inputs
(/.f64 (/.f64 x #s(literal 3 binary64)) y)
(*.f64 x (/.f64 #s(literal 1/3 binary64) y))
Outputs
(/.f64 (/.f64 x #s(literal 3 binary64)) y)
(*.f64 x (/.f64 #s(literal 1/3 binary64) y))

soundness320.0ms (11%)

Rules
650×unpow-prod-down
645×log1p-expm1-u
645×expm1-log1p-u
564×fma-define
371×log-prod
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
020141
148133
2110133
3337133
41010133
51741133
62336133
72535133
82589133
92669133
01358
114458
2204658
Stop Event
1×done
1×node limit
1×saturated
Compiler

Compiled 148 to 62 computations (58.1% saved)

preprocess114.0ms (3.9%)

Remove

(negabs y)

(negabs x)

Compiler

Compiled 108 to 76 computations (29.6% saved)

end0.0ms (0%)

Profiling

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