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

Time bar (total: 3.2s)

analyze0.0ms (0%)

Algorithm
1×search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%99.9%0.1%0%0%0%0
100%99.9%0%0.1%0%0%0%1
Compiler

Compiled 8 to 6 computations (25% saved)

sample1.5s (46.5%)

Results
1.4s7192×body256valid
94.0ms1064×body256infinite
Bogosity

preprocess71.0ms (2.2%)

Algorithm
1×egg-herbie
Rules
248×fma-def
36×distribute-lft-in
32×sub-neg
30×associate-*r*
24×fma-neg
Problems
256×No Errors
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01573
13565
27265
312465
415565
520265
625165
734065
Stop Event
1×saturated
Calls
Call 1
Inputs
(*.f64 (*.f64 x 27) y)
(*.f64 (*.f64 x 27) y)
(*.f64 (*.f64 (neg.f64 x) 27) y)
(*.f64 (*.f64 x 27) (neg.f64 y))
(*.f64 (*.f64 y 27) x)
Outputs
(*.f64 (*.f64 x 27) y)
(*.f64 x (*.f64 27 y))
(*.f64 (*.f64 x 27) y)
(*.f64 x (*.f64 27 y))
(*.f64 (*.f64 (neg.f64 x) 27) y)
(*.f64 (neg.f64 x) (*.f64 27 y))
(*.f64 x (*.f64 -27 y))
(*.f64 x (*.f64 y -27))
(*.f64 (*.f64 x 27) (neg.f64 y))
(*.f64 (neg.f64 x) (*.f64 27 y))
(*.f64 x (*.f64 -27 y))
(*.f64 x (*.f64 y -27))
(*.f64 (*.f64 y 27) x)
(*.f64 x (*.f64 27 y))
Symmetry

(sort x y)

Compiler

Compiled 21 to 14 computations (33.3% saved)

eval1.0ms (0%)

Compiler

Compiled 7 to 5 computations (28.6% saved)

prune7.0ms (0.2%)

Alt Table
Click to see full alt table
StatusAccuracyProgram
▶99.7%
(*.f64 (*.f64 x 27) y)
▶99.8%
(*.f64 x (*.f64 27 y))
▶99.7%
(*.f64 (*.f64 x 27) y)
▶99.8%
(*.f64 x (*.f64 27 y))
Compiler

Compiled 28 to 20 computations (28.6% saved)

localize138.0ms (4.3%)

Localize:

Found 2 expressions with local error:

NewAccuracyProgram
✓99.7%
(*.f64 (*.f64 x 27) y)
✓99.8%
(*.f64 x (*.f64 27 y))
Compiler

Compiled 25 to 15 computations (40% saved)

series11.0ms (0.3%)

Counts
2 → 48
Calls

12 calls:

TimeVariablePointExpression
2.0ms
y
@0
(*.f64 x (*.f64 27 y))
2.0ms
x
@0
(*.f64 x (*.f64 27 y))
2.0ms
x
@inf
(*.f64 x (*.f64 27 y))
2.0ms
y
@inf
(*.f64 x (*.f64 27 y))
1.0ms
x
@-inf
(*.f64 x (*.f64 27 y))

rewrite189.0ms (5.9%)

Algorithm
1×batch-egg-rewrite
Rules
1496×pow1
1374×add-exp-log
1374×log1p-expm1-u
1374×expm1-log1p-u
1344×add-log-exp
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0926
118126
2190326
Stop Event
1×node limit
Counts
2 → 22
Calls
Call 1
Inputs
(*.f64 x (*.f64 27 y))
(*.f64 (*.f64 x 27) y)
Outputs
(-.f64 (+.f64 1 (*.f64 x (*.f64 27 y))) 1)
(pow.f64 (*.f64 x (*.f64 27 y)) 1)
(pow.f64 (cbrt.f64 (*.f64 x (*.f64 27 y))) 3)
(pow.f64 (pow.f64 (*.f64 x (*.f64 27 y)) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 x (*.f64 27 y))) 2)
(sqrt.f64 (pow.f64 (*.f64 x (*.f64 27 y)) 2))
(log.f64 (pow.f64 (exp.f64 y) (*.f64 x 27)))
(cbrt.f64 (pow.f64 (*.f64 x (*.f64 27 y)) 3))
(expm1.f64 (log1p.f64 (*.f64 x (*.f64 27 y))))
(exp.f64 (log.f64 (*.f64 x (*.f64 27 y))))
(log1p.f64 (expm1.f64 (*.f64 x (*.f64 27 y))))
(-.f64 (+.f64 1 (*.f64 x (*.f64 27 y))) 1)
(pow.f64 (*.f64 x (*.f64 27 y)) 1)
(pow.f64 (cbrt.f64 (*.f64 x (*.f64 27 y))) 3)
(pow.f64 (pow.f64 (*.f64 x (*.f64 27 y)) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 x (*.f64 27 y))) 2)
(sqrt.f64 (pow.f64 (*.f64 x (*.f64 27 y)) 2))
(log.f64 (pow.f64 (exp.f64 y) (*.f64 x 27)))
(cbrt.f64 (pow.f64 (*.f64 x (*.f64 27 y)) 3))
(expm1.f64 (log1p.f64 (*.f64 x (*.f64 27 y))))
(exp.f64 (log.f64 (*.f64 x (*.f64 27 y))))
(log1p.f64 (expm1.f64 (*.f64 x (*.f64 27 y))))

simplify89.0ms (2.8%)

Algorithm
1×egg-herbie
Rules
1198×distribute-rgt-in
1196×log-prod
1184×distribute-lft-in
916×associate-*r*
868×exp-sum
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
036910
186910
2340910
32473910
47186910
Stop Event
1×node limit
Counts
70 → 12
Calls
Call 1
Inputs
(*.f64 27 (*.f64 x y))
(*.f64 27 (*.f64 x y))
(*.f64 27 (*.f64 x y))
(*.f64 27 (*.f64 x y))
(*.f64 27 (*.f64 x y))
(*.f64 27 (*.f64 x y))
(*.f64 27 (*.f64 x y))
(*.f64 27 (*.f64 x y))
(*.f64 27 (*.f64 x y))
(*.f64 27 (*.f64 x y))
(*.f64 27 (*.f64 x y))
(*.f64 27 (*.f64 x y))
(*.f64 27 (*.f64 x y))
(*.f64 27 (*.f64 x y))
(*.f64 27 (*.f64 x y))
(*.f64 27 (*.f64 x y))
(*.f64 27 (*.f64 x y))
(*.f64 27 (*.f64 x y))
(*.f64 27 (*.f64 x y))
(*.f64 27 (*.f64 x y))
(*.f64 27 (*.f64 x y))
(*.f64 27 (*.f64 x y))
(*.f64 27 (*.f64 x y))
(*.f64 27 (*.f64 x y))
(*.f64 27 (*.f64 x y))
(*.f64 27 (*.f64 x y))
(*.f64 27 (*.f64 x y))
(*.f64 27 (*.f64 x y))
(*.f64 27 (*.f64 x y))
(*.f64 27 (*.f64 x y))
(*.f64 27 (*.f64 x y))
(*.f64 27 (*.f64 x y))
(*.f64 27 (*.f64 x y))
(*.f64 27 (*.f64 x y))
(*.f64 27 (*.f64 x y))
(*.f64 27 (*.f64 x y))
(*.f64 27 (*.f64 x y))
(*.f64 27 (*.f64 x y))
(*.f64 27 (*.f64 x y))
(*.f64 27 (*.f64 x y))
(*.f64 27 (*.f64 x y))
(*.f64 27 (*.f64 x y))
(*.f64 27 (*.f64 x y))
(*.f64 27 (*.f64 x y))
(*.f64 27 (*.f64 x y))
(*.f64 27 (*.f64 x y))
(*.f64 27 (*.f64 x y))
(*.f64 27 (*.f64 x y))
(-.f64 (+.f64 1 (*.f64 x (*.f64 27 y))) 1)
(pow.f64 (*.f64 x (*.f64 27 y)) 1)
(pow.f64 (cbrt.f64 (*.f64 x (*.f64 27 y))) 3)
(pow.f64 (pow.f64 (*.f64 x (*.f64 27 y)) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 x (*.f64 27 y))) 2)
(sqrt.f64 (pow.f64 (*.f64 x (*.f64 27 y)) 2))
(log.f64 (pow.f64 (exp.f64 y) (*.f64 x 27)))
(cbrt.f64 (pow.f64 (*.f64 x (*.f64 27 y)) 3))
(expm1.f64 (log1p.f64 (*.f64 x (*.f64 27 y))))
(exp.f64 (log.f64 (*.f64 x (*.f64 27 y))))
(log1p.f64 (expm1.f64 (*.f64 x (*.f64 27 y))))
(-.f64 (+.f64 1 (*.f64 x (*.f64 27 y))) 1)
(pow.f64 (*.f64 x (*.f64 27 y)) 1)
(pow.f64 (cbrt.f64 (*.f64 x (*.f64 27 y))) 3)
(pow.f64 (pow.f64 (*.f64 x (*.f64 27 y)) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 x (*.f64 27 y))) 2)
(sqrt.f64 (pow.f64 (*.f64 x (*.f64 27 y)) 2))
(log.f64 (pow.f64 (exp.f64 y) (*.f64 x 27)))
(cbrt.f64 (pow.f64 (*.f64 x (*.f64 27 y)) 3))
(expm1.f64 (log1p.f64 (*.f64 x (*.f64 27 y))))
(exp.f64 (log.f64 (*.f64 x (*.f64 27 y))))
(log1p.f64 (expm1.f64 (*.f64 x (*.f64 27 y))))
Outputs
(*.f64 27 (*.f64 x y))
(*.f64 27 (*.f64 x y))
(*.f64 27 (*.f64 x y))
(*.f64 27 (*.f64 x y))
(*.f64 27 (*.f64 x y))
(*.f64 27 (*.f64 x y))
(*.f64 27 (*.f64 x y))
(*.f64 27 (*.f64 x y))
(*.f64 27 (*.f64 x y))
(*.f64 27 (*.f64 x y))
(*.f64 27 (*.f64 x y))
(*.f64 27 (*.f64 x y))
(*.f64 27 (*.f64 x y))
(*.f64 27 (*.f64 x y))
(*.f64 27 (*.f64 x y))
(*.f64 27 (*.f64 x y))
(*.f64 27 (*.f64 x y))
(*.f64 27 (*.f64 x y))
(*.f64 27 (*.f64 x y))
(*.f64 27 (*.f64 x y))
(*.f64 27 (*.f64 x y))
(*.f64 27 (*.f64 x y))
(*.f64 27 (*.f64 x y))
(*.f64 27 (*.f64 x y))
(*.f64 27 (*.f64 x y))
(*.f64 27 (*.f64 x y))
(*.f64 27 (*.f64 x y))
(*.f64 27 (*.f64 x y))
(*.f64 27 (*.f64 x y))
(*.f64 27 (*.f64 x y))
(*.f64 27 (*.f64 x y))
(*.f64 27 (*.f64 x y))
(*.f64 27 (*.f64 x y))
(*.f64 27 (*.f64 x y))
(*.f64 27 (*.f64 x y))
(*.f64 27 (*.f64 x y))
(*.f64 27 (*.f64 x y))
(*.f64 27 (*.f64 x y))
(*.f64 27 (*.f64 x y))
(*.f64 27 (*.f64 x y))
(*.f64 27 (*.f64 x y))
(*.f64 27 (*.f64 x y))
(*.f64 27 (*.f64 x y))
(*.f64 27 (*.f64 x y))
(*.f64 27 (*.f64 x y))
(*.f64 27 (*.f64 x y))
(*.f64 27 (*.f64 x y))
(*.f64 27 (*.f64 x y))
(-.f64 (+.f64 1 (*.f64 x (*.f64 27 y))) 1)
(*.f64 27 (*.f64 x y))
(pow.f64 (*.f64 x (*.f64 27 y)) 1)
(*.f64 27 (*.f64 x y))
(pow.f64 (cbrt.f64 (*.f64 x (*.f64 27 y))) 3)
(*.f64 27 (*.f64 x y))
(pow.f64 (pow.f64 (*.f64 x (*.f64 27 y)) 3) 1/3)
(*.f64 27 (*.f64 x y))
(pow.f64 (sqrt.f64 (*.f64 x (*.f64 27 y))) 2)
(*.f64 27 (*.f64 x y))
(sqrt.f64 (pow.f64 (*.f64 x (*.f64 27 y)) 2))
(*.f64 27 (*.f64 x y))
(log.f64 (pow.f64 (exp.f64 y) (*.f64 x 27)))
(*.f64 27 (*.f64 x y))
(cbrt.f64 (pow.f64 (*.f64 x (*.f64 27 y)) 3))
(*.f64 27 (*.f64 x y))
(expm1.f64 (log1p.f64 (*.f64 x (*.f64 27 y))))
(*.f64 27 (*.f64 x y))
(exp.f64 (log.f64 (*.f64 x (*.f64 27 y))))
(*.f64 27 (*.f64 x y))
(log1p.f64 (expm1.f64 (*.f64 x (*.f64 27 y))))
(*.f64 27 (*.f64 x y))
(-.f64 (+.f64 1 (*.f64 x (*.f64 27 y))) 1)
(*.f64 27 (*.f64 x y))
(pow.f64 (*.f64 x (*.f64 27 y)) 1)
(*.f64 27 (*.f64 x y))
(pow.f64 (cbrt.f64 (*.f64 x (*.f64 27 y))) 3)
(*.f64 27 (*.f64 x y))
(pow.f64 (pow.f64 (*.f64 x (*.f64 27 y)) 3) 1/3)
(*.f64 27 (*.f64 x y))
(pow.f64 (sqrt.f64 (*.f64 x (*.f64 27 y))) 2)
(*.f64 27 (*.f64 x y))
(sqrt.f64 (pow.f64 (*.f64 x (*.f64 27 y)) 2))
(*.f64 27 (*.f64 x y))
(log.f64 (pow.f64 (exp.f64 y) (*.f64 x 27)))
(*.f64 27 (*.f64 x y))
(cbrt.f64 (pow.f64 (*.f64 x (*.f64 27 y)) 3))
(*.f64 27 (*.f64 x y))
(expm1.f64 (log1p.f64 (*.f64 x (*.f64 27 y))))
(*.f64 27 (*.f64 x y))
(exp.f64 (log.f64 (*.f64 x (*.f64 27 y))))
(*.f64 27 (*.f64 x y))
(log1p.f64 (expm1.f64 (*.f64 x (*.f64 27 y))))
(*.f64 27 (*.f64 x y))

eval5.0ms (0.1%)

Compiler

Compiled 92 to 68 computations (26.1% saved)

prune8.0ms (0.3%)

Pruning

3 alts after pruning (1 fresh and 2 done)

PrunedKeptTotal
New11112
Fresh000
Picked022
Done000
Total11314
Accuracy
100.0%
Counts
14 → 3
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓99.7%
(*.f64 (*.f64 x 27) y)
✓99.8%
(*.f64 x (*.f64 27 y))
▶99.6%
(*.f64 27 (*.f64 x y))
✓99.7%
(*.f64 (*.f64 x 27) y)
✓99.8%
(*.f64 x (*.f64 27 y))
▶99.6%
(*.f64 27 (*.f64 x y))
Compiler

Compiled 42 to 30 computations (28.6% saved)

localize46.0ms (1.4%)

Localize:

Found 1 expressions with local error:

NewAccuracyProgram
✓99.6%
(*.f64 27 (*.f64 x y))
Compiler

Compiled 14 to 7 computations (50% saved)

series1.0ms (0%)

Counts
1 → 0
Calls

6 calls:

TimeVariablePointExpression
0.0ms
x
@inf
(*.f64 27 (*.f64 x y))
0.0ms
x
@-inf
(*.f64 27 (*.f64 x y))
0.0ms
y
@inf
(*.f64 27 (*.f64 x y))
0.0ms
x
@0
(*.f64 27 (*.f64 x y))
0.0ms
y
@-inf
(*.f64 27 (*.f64 x y))

rewrite65.0ms (2%)

Algorithm
1×batch-egg-rewrite
Rules
1304×pow1
1198×add-exp-log
1198×log1p-expm1-u
1198×expm1-log1p-u
1172×add-log-exp
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0713
114113
2163313
Stop Event
1×node limit
Counts
1 → 11
Calls
Call 1
Inputs
(*.f64 27 (*.f64 x y))
Outputs
(-.f64 (+.f64 1 (*.f64 27 (*.f64 x y))) 1)
(pow.f64 (*.f64 27 (*.f64 x y)) 1)
(pow.f64 (*.f64 (cbrt.f64 (*.f64 x y)) 3) 3)
(pow.f64 (pow.f64 (*.f64 27 (*.f64 x y)) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 27 (*.f64 x y))) 2)
(sqrt.f64 (*.f64 (pow.f64 (*.f64 x y) 2) 729))
(log.f64 (pow.f64 (pow.f64 (exp.f64 y) x) 27))
(cbrt.f64 (pow.f64 (*.f64 27 (*.f64 x y)) 3))
(expm1.f64 (log1p.f64 (*.f64 27 (*.f64 x y))))
(exp.f64 (log.f64 (*.f64 27 (*.f64 x y))))
(log1p.f64 (expm1.f64 (*.f64 27 (*.f64 x y))))

simplify137.0ms (4.2%)

Algorithm
1×egg-herbie
Rules
2132×log-prod
928×exp-sum
778×distribute-rgt-in
770×distribute-lft-in
630×associate-*r*
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
037275
197209
2304143
31852143
45574143
Stop Event
1×node limit
Counts
11 → 14
Calls
Call 1
Inputs
(-.f64 (+.f64 1 (*.f64 27 (*.f64 x y))) 1)
(pow.f64 (*.f64 27 (*.f64 x y)) 1)
(pow.f64 (*.f64 (cbrt.f64 (*.f64 x y)) 3) 3)
(pow.f64 (pow.f64 (*.f64 27 (*.f64 x y)) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 27 (*.f64 x y))) 2)
(sqrt.f64 (*.f64 (pow.f64 (*.f64 x y) 2) 729))
(log.f64 (pow.f64 (pow.f64 (exp.f64 y) x) 27))
(cbrt.f64 (pow.f64 (*.f64 27 (*.f64 x y)) 3))
(expm1.f64 (log1p.f64 (*.f64 27 (*.f64 x y))))
(exp.f64 (log.f64 (*.f64 27 (*.f64 x y))))
(log1p.f64 (expm1.f64 (*.f64 27 (*.f64 x y))))
Outputs
(-.f64 (+.f64 1 (*.f64 27 (*.f64 x y))) 1)
(+.f64 1 (-.f64 (*.f64 27 (*.f64 x y)) 1))
(+.f64 (*.f64 27 (*.f64 x y)) 0)
(*.f64 27 (*.f64 x y))
(pow.f64 (*.f64 27 (*.f64 x y)) 1)
(+.f64 1 (-.f64 (*.f64 27 (*.f64 x y)) 1))
(+.f64 (*.f64 27 (*.f64 x y)) 0)
(*.f64 27 (*.f64 x y))
(pow.f64 (*.f64 (cbrt.f64 (*.f64 x y)) 3) 3)
(+.f64 1 (-.f64 (*.f64 27 (*.f64 x y)) 1))
(+.f64 (*.f64 27 (*.f64 x y)) 0)
(*.f64 27 (*.f64 x y))
(pow.f64 (pow.f64 (*.f64 27 (*.f64 x y)) 3) 1/3)
(+.f64 1 (-.f64 (*.f64 27 (*.f64 x y)) 1))
(+.f64 (*.f64 27 (*.f64 x y)) 0)
(*.f64 27 (*.f64 x y))
(pow.f64 (sqrt.f64 (*.f64 27 (*.f64 x y))) 2)
(+.f64 1 (-.f64 (*.f64 27 (*.f64 x y)) 1))
(+.f64 (*.f64 27 (*.f64 x y)) 0)
(*.f64 27 (*.f64 x y))
(sqrt.f64 (*.f64 (pow.f64 (*.f64 x y) 2) 729))
(+.f64 1 (-.f64 (*.f64 27 (*.f64 x y)) 1))
(+.f64 (*.f64 27 (*.f64 x y)) 0)
(*.f64 27 (*.f64 x y))
(log.f64 (pow.f64 (pow.f64 (exp.f64 y) x) 27))
(+.f64 1 (-.f64 (*.f64 27 (*.f64 x y)) 1))
(+.f64 (*.f64 27 (*.f64 x y)) 0)
(*.f64 27 (*.f64 x y))
(cbrt.f64 (pow.f64 (*.f64 27 (*.f64 x y)) 3))
(+.f64 1 (-.f64 (*.f64 27 (*.f64 x y)) 1))
(+.f64 (*.f64 27 (*.f64 x y)) 0)
(*.f64 27 (*.f64 x y))
(expm1.f64 (log1p.f64 (*.f64 27 (*.f64 x y))))
(+.f64 1 (-.f64 (*.f64 27 (*.f64 x y)) 1))
(+.f64 (*.f64 27 (*.f64 x y)) 0)
(*.f64 27 (*.f64 x y))
(exp.f64 (log.f64 (*.f64 27 (*.f64 x y))))
(+.f64 1 (-.f64 (*.f64 27 (*.f64 x y)) 1))
(+.f64 (*.f64 27 (*.f64 x y)) 0)
(*.f64 27 (*.f64 x y))
(log1p.f64 (expm1.f64 (*.f64 27 (*.f64 x y))))
(+.f64 1 (-.f64 (*.f64 27 (*.f64 x y)) 1))
(+.f64 (*.f64 27 (*.f64 x y)) 0)
(*.f64 27 (*.f64 x y))

eval34.0ms (1.1%)

Compiler

Compiled 108 to 68 computations (37% saved)

prune18.0ms (0.6%)

Pruning

4 alts after pruning (1 fresh and 3 done)

PrunedKeptTotal
New13114
Fresh000
Picked011
Done022
Total13417
Accuracy
100.0%
Counts
17 → 4
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶98.3%
(pow.f64 (*.f64 (cbrt.f64 (*.f64 x y)) 3) 3)
✓99.7%
(*.f64 (*.f64 x 27) y)
✓99.8%
(*.f64 x (*.f64 27 y))
✓99.6%
(*.f64 27 (*.f64 x y))
▶98.3%
(pow.f64 (*.f64 (cbrt.f64 (*.f64 x y)) 3) 3)
✓99.7%
(*.f64 (*.f64 x 27) y)
✓99.8%
(*.f64 x (*.f64 27 y))
✓99.6%
(*.f64 27 (*.f64 x y))
Compiler

Compiled 62 to 46 computations (25.8% saved)

localize141.0ms (4.4%)

Localize:

Found 3 expressions with local error:

NewAccuracyProgram
✓99.5%
(*.f64 (cbrt.f64 (*.f64 x y)) 3)
✓99.2%
(pow.f64 (*.f64 (cbrt.f64 (*.f64 x y)) 3) 3)
✓72.5%
(cbrt.f64 (*.f64 x y))
Compiler

Compiled 27 to 12 computations (55.6% saved)

series26.0ms (0.8%)

Counts
3 → 0
Calls

18 calls:

TimeVariablePointExpression
3.0ms
x
@-inf
(pow.f64 (*.f64 (cbrt.f64 (*.f64 x y)) 3) 3)
2.0ms
x
@0
(pow.f64 (*.f64 (cbrt.f64 (*.f64 x y)) 3) 3)
2.0ms
y
@0
(pow.f64 (*.f64 (cbrt.f64 (*.f64 x y)) 3) 3)
2.0ms
y
@-inf
(pow.f64 (*.f64 (cbrt.f64 (*.f64 x y)) 3) 3)
2.0ms
y
@inf
(pow.f64 (*.f64 (cbrt.f64 (*.f64 x y)) 3) 3)

rewrite132.0ms (4.1%)

Algorithm
1×batch-egg-rewrite
Rules
1764×pow1
1632×add-exp-log
1632×log1p-expm1-u
1632×expm1-log1p-u
1594×add-log-exp
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01051
120641
2232541
Stop Event
1×node limit
Counts
3 → 56
Calls
Call 1
Inputs
(cbrt.f64 (*.f64 x y))
(pow.f64 (*.f64 (cbrt.f64 (*.f64 x y)) 3) 3)
(*.f64 (cbrt.f64 (*.f64 x y)) 3)
Outputs
(-.f64 (+.f64 1 (cbrt.f64 (*.f64 x y))) 1)
(*.f64 (cbrt.f64 (*.f64 x y)) 1)
(*.f64 1 (cbrt.f64 (*.f64 x y)))
(*.f64 (cbrt.f64 y) (cbrt.f64 x))
(*.f64 (cbrt.f64 (cbrt.f64 (*.f64 x y))) (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 x y))) 2))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 x y))) 2) (cbrt.f64 (cbrt.f64 (*.f64 x y))))
(*.f64 (cbrt.f64 x) (cbrt.f64 y))
(*.f64 (pow.f64 (*.f64 x y) 1/6) (pow.f64 (*.f64 x y) 1/6))
(*.f64 (pow.f64 1 1/3) (cbrt.f64 (*.f64 x y)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (*.f64 x y)) 2) 1/3) (cbrt.f64 (cbrt.f64 (*.f64 x y))))
(*.f64 (pow.f64 (sqrt.f64 (*.f64 x y)) 1/3) (pow.f64 (sqrt.f64 (*.f64 x y)) 1/3))
(pow.f64 (*.f64 x y) 1/3)
(pow.f64 (cbrt.f64 (*.f64 x y)) 1)
(pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 x y))) 3)
(pow.f64 (pow.f64 (*.f64 x y) 1/6) 2)
(sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 x y)) 2))
(log.f64 (exp.f64 (cbrt.f64 (*.f64 x y))))
(expm1.f64 (log1p.f64 (cbrt.f64 (*.f64 x y))))
(exp.f64 (log.f64 (cbrt.f64 (*.f64 x y))))
(log1p.f64 (expm1.f64 (cbrt.f64 (*.f64 x y))))
(-.f64 (+.f64 1 (*.f64 (*.f64 x y) 27)) 1)
(*.f64 (*.f64 x y) 27)
(*.f64 (cbrt.f64 (*.f64 x y)) (*.f64 3 (*.f64 (pow.f64 (cbrt.f64 (*.f64 x y)) 2) 9)))
(*.f64 3 (*.f64 (cbrt.f64 (*.f64 x y)) (*.f64 (pow.f64 (cbrt.f64 (*.f64 x y)) 2) 9)))
(*.f64 (*.f64 (cbrt.f64 (*.f64 x y)) 3) (*.f64 (pow.f64 (cbrt.f64 (*.f64 x y)) 2) 9))
(*.f64 (*.f64 (*.f64 x y) 27) 1)
(*.f64 1 (*.f64 (*.f64 x y) 27))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 (cbrt.f64 (*.f64 x y)) 3)) 2) (*.f64 (cbrt.f64 (*.f64 (cbrt.f64 (*.f64 x y)) 3)) (*.f64 (pow.f64 (cbrt.f64 (*.f64 x y)) 2) 9)))
(*.f64 27 (*.f64 x y))
(*.f64 (*.f64 (pow.f64 (cbrt.f64 (*.f64 x y)) 2) 9) (*.f64 (cbrt.f64 (*.f64 x y)) 3))
(*.f64 (sqrt.f64 (*.f64 (cbrt.f64 (*.f64 x y)) 3)) (*.f64 (sqrt.f64 (*.f64 (cbrt.f64 (*.f64 x y)) 3)) (*.f64 (pow.f64 (cbrt.f64 (*.f64 x y)) 2) 9)))
(*.f64 (sqrt.f64 (*.f64 (*.f64 x y) 27)) (sqrt.f64 (*.f64 (*.f64 x y) 27)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (*.f64 (cbrt.f64 (*.f64 x y)) 3)) 2) 3) (*.f64 (cbrt.f64 (*.f64 x y)) 3))
(*.f64 (pow.f64 (sqrt.f64 (*.f64 (cbrt.f64 (*.f64 x y)) 3)) 3) (pow.f64 (sqrt.f64 (*.f64 (cbrt.f64 (*.f64 x y)) 3)) 3))
(*.f64 (*.f64 (*.f64 (pow.f64 (cbrt.f64 (*.f64 x y)) 2) 9) (cbrt.f64 (*.f64 x y))) 3)
(*.f64 (*.f64 (*.f64 (pow.f64 (cbrt.f64 (*.f64 x y)) 2) 9) 3) (cbrt.f64 (*.f64 x y)))
(*.f64 (*.f64 (*.f64 (pow.f64 (cbrt.f64 (*.f64 x y)) 2) 9) 1) (*.f64 (cbrt.f64 (*.f64 x y)) 3))
(*.f64 (*.f64 (*.f64 (pow.f64 (cbrt.f64 (*.f64 x y)) 2) 9) (pow.f64 (cbrt.f64 (*.f64 (cbrt.f64 (*.f64 x y)) 3)) 2)) (cbrt.f64 (*.f64 (cbrt.f64 (*.f64 x y)) 3)))
(*.f64 (*.f64 (*.f64 (pow.f64 (cbrt.f64 (*.f64 x y)) 2) 9) (sqrt.f64 (*.f64 (cbrt.f64 (*.f64 x y)) 3))) (sqrt.f64 (*.f64 (cbrt.f64 (*.f64 x y)) 3)))
(sqrt.f64 (*.f64 (pow.f64 (*.f64 x y) 2) 729))
(log.f64 (pow.f64 (pow.f64 (exp.f64 y) x) 27))
(cbrt.f64 (pow.f64 (*.f64 (*.f64 x y) 27) 3))
(expm1.f64 (log1p.f64 (*.f64 (*.f64 x y) 27)))
(exp.f64 (log.f64 (*.f64 (*.f64 x y) 27)))
(log1p.f64 (expm1.f64 (*.f64 (*.f64 x y) 27)))
(-.f64 (+.f64 1 (*.f64 (cbrt.f64 (*.f64 x y)) 3)) 1)
(pow.f64 (*.f64 (cbrt.f64 (*.f64 x y)) 3) 1)
(pow.f64 (*.f64 (*.f64 x y) 27) 1/3)
(pow.f64 (cbrt.f64 (*.f64 (cbrt.f64 (*.f64 x y)) 3)) 3)
(pow.f64 (sqrt.f64 (*.f64 (cbrt.f64 (*.f64 x y)) 3)) 2)
(sqrt.f64 (*.f64 (pow.f64 (cbrt.f64 (*.f64 x y)) 2) 9))
(log.f64 (pow.f64 (exp.f64 3) (cbrt.f64 (*.f64 x y))))
(cbrt.f64 (*.f64 (*.f64 x y) 27))
(expm1.f64 (log1p.f64 (*.f64 (cbrt.f64 (*.f64 x y)) 3)))
(exp.f64 (log.f64 (*.f64 (cbrt.f64 (*.f64 x y)) 3)))
(log1p.f64 (expm1.f64 (*.f64 (cbrt.f64 (*.f64 x y)) 3)))

simplify83.0ms (2.6%)

Algorithm
1×egg-herbie
Rules
1960×log-prod
1584×fma-def
1110×fma-neg
938×cube-prod
744×unswap-sqr
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
01191398
12761086
21005774
33318756
47325756
Stop Event
1×node limit
Counts
56 → 69
Calls
Call 1
Inputs
(-.f64 (+.f64 1 (cbrt.f64 (*.f64 x y))) 1)
(*.f64 (cbrt.f64 (*.f64 x y)) 1)
(*.f64 1 (cbrt.f64 (*.f64 x y)))
(*.f64 (cbrt.f64 y) (cbrt.f64 x))
(*.f64 (cbrt.f64 (cbrt.f64 (*.f64 x y))) (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 x y))) 2))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 x y))) 2) (cbrt.f64 (cbrt.f64 (*.f64 x y))))
(*.f64 (cbrt.f64 x) (cbrt.f64 y))
(*.f64 (pow.f64 (*.f64 x y) 1/6) (pow.f64 (*.f64 x y) 1/6))
(*.f64 (pow.f64 1 1/3) (cbrt.f64 (*.f64 x y)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (*.f64 x y)) 2) 1/3) (cbrt.f64 (cbrt.f64 (*.f64 x y))))
(*.f64 (pow.f64 (sqrt.f64 (*.f64 x y)) 1/3) (pow.f64 (sqrt.f64 (*.f64 x y)) 1/3))
(pow.f64 (*.f64 x y) 1/3)
(pow.f64 (cbrt.f64 (*.f64 x y)) 1)
(pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 x y))) 3)
(pow.f64 (pow.f64 (*.f64 x y) 1/6) 2)
(sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 x y)) 2))
(log.f64 (exp.f64 (cbrt.f64 (*.f64 x y))))
(expm1.f64 (log1p.f64 (cbrt.f64 (*.f64 x y))))
(exp.f64 (log.f64 (cbrt.f64 (*.f64 x y))))
(log1p.f64 (expm1.f64 (cbrt.f64 (*.f64 x y))))
(-.f64 (+.f64 1 (*.f64 (*.f64 x y) 27)) 1)
(*.f64 (*.f64 x y) 27)
(*.f64 (cbrt.f64 (*.f64 x y)) (*.f64 3 (*.f64 (pow.f64 (cbrt.f64 (*.f64 x y)) 2) 9)))
(*.f64 3 (*.f64 (cbrt.f64 (*.f64 x y)) (*.f64 (pow.f64 (cbrt.f64 (*.f64 x y)) 2) 9)))
(*.f64 (*.f64 (cbrt.f64 (*.f64 x y)) 3) (*.f64 (pow.f64 (cbrt.f64 (*.f64 x y)) 2) 9))
(*.f64 (*.f64 (*.f64 x y) 27) 1)
(*.f64 1 (*.f64 (*.f64 x y) 27))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 (cbrt.f64 (*.f64 x y)) 3)) 2) (*.f64 (cbrt.f64 (*.f64 (cbrt.f64 (*.f64 x y)) 3)) (*.f64 (pow.f64 (cbrt.f64 (*.f64 x y)) 2) 9)))
(*.f64 27 (*.f64 x y))
(*.f64 (*.f64 (pow.f64 (cbrt.f64 (*.f64 x y)) 2) 9) (*.f64 (cbrt.f64 (*.f64 x y)) 3))
(*.f64 (sqrt.f64 (*.f64 (cbrt.f64 (*.f64 x y)) 3)) (*.f64 (sqrt.f64 (*.f64 (cbrt.f64 (*.f64 x y)) 3)) (*.f64 (pow.f64 (cbrt.f64 (*.f64 x y)) 2) 9)))
(*.f64 (sqrt.f64 (*.f64 (*.f64 x y) 27)) (sqrt.f64 (*.f64 (*.f64 x y) 27)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (*.f64 (cbrt.f64 (*.f64 x y)) 3)) 2) 3) (*.f64 (cbrt.f64 (*.f64 x y)) 3))
(*.f64 (pow.f64 (sqrt.f64 (*.f64 (cbrt.f64 (*.f64 x y)) 3)) 3) (pow.f64 (sqrt.f64 (*.f64 (cbrt.f64 (*.f64 x y)) 3)) 3))
(*.f64 (*.f64 (*.f64 (pow.f64 (cbrt.f64 (*.f64 x y)) 2) 9) (cbrt.f64 (*.f64 x y))) 3)
(*.f64 (*.f64 (*.f64 (pow.f64 (cbrt.f64 (*.f64 x y)) 2) 9) 3) (cbrt.f64 (*.f64 x y)))
(*.f64 (*.f64 (*.f64 (pow.f64 (cbrt.f64 (*.f64 x y)) 2) 9) 1) (*.f64 (cbrt.f64 (*.f64 x y)) 3))
(*.f64 (*.f64 (*.f64 (pow.f64 (cbrt.f64 (*.f64 x y)) 2) 9) (pow.f64 (cbrt.f64 (*.f64 (cbrt.f64 (*.f64 x y)) 3)) 2)) (cbrt.f64 (*.f64 (cbrt.f64 (*.f64 x y)) 3)))
(*.f64 (*.f64 (*.f64 (pow.f64 (cbrt.f64 (*.f64 x y)) 2) 9) (sqrt.f64 (*.f64 (cbrt.f64 (*.f64 x y)) 3))) (sqrt.f64 (*.f64 (cbrt.f64 (*.f64 x y)) 3)))
(sqrt.f64 (*.f64 (pow.f64 (*.f64 x y) 2) 729))
(log.f64 (pow.f64 (pow.f64 (exp.f64 y) x) 27))
(cbrt.f64 (pow.f64 (*.f64 (*.f64 x y) 27) 3))
(expm1.f64 (log1p.f64 (*.f64 (*.f64 x y) 27)))
(exp.f64 (log.f64 (*.f64 (*.f64 x y) 27)))
(log1p.f64 (expm1.f64 (*.f64 (*.f64 x y) 27)))
(-.f64 (+.f64 1 (*.f64 (cbrt.f64 (*.f64 x y)) 3)) 1)
(pow.f64 (*.f64 (cbrt.f64 (*.f64 x y)) 3) 1)
(pow.f64 (*.f64 (*.f64 x y) 27) 1/3)
(pow.f64 (cbrt.f64 (*.f64 (cbrt.f64 (*.f64 x y)) 3)) 3)
(pow.f64 (sqrt.f64 (*.f64 (cbrt.f64 (*.f64 x y)) 3)) 2)
(sqrt.f64 (*.f64 (pow.f64 (cbrt.f64 (*.f64 x y)) 2) 9))
(log.f64 (pow.f64 (exp.f64 3) (cbrt.f64 (*.f64 x y))))
(cbrt.f64 (*.f64 (*.f64 x y) 27))
(expm1.f64 (log1p.f64 (*.f64 (cbrt.f64 (*.f64 x y)) 3)))
(exp.f64 (log.f64 (*.f64 (cbrt.f64 (*.f64 x y)) 3)))
(log1p.f64 (expm1.f64 (*.f64 (cbrt.f64 (*.f64 x y)) 3)))
Outputs
(-.f64 (+.f64 1 (cbrt.f64 (*.f64 x y))) 1)
(+.f64 1 (-.f64 (cbrt.f64 (*.f64 x y)) 1))
(+.f64 (cbrt.f64 (*.f64 x y)) 0)
(cbrt.f64 (*.f64 x y))
(*.f64 (cbrt.f64 (*.f64 x y)) 1)
(+.f64 1 (-.f64 (cbrt.f64 (*.f64 x y)) 1))
(+.f64 (cbrt.f64 (*.f64 x y)) 0)
(cbrt.f64 (*.f64 x y))
(*.f64 1 (cbrt.f64 (*.f64 x y)))
(+.f64 1 (-.f64 (cbrt.f64 (*.f64 x y)) 1))
(+.f64 (cbrt.f64 (*.f64 x y)) 0)
(cbrt.f64 (*.f64 x y))
(*.f64 (cbrt.f64 y) (cbrt.f64 x))
(*.f64 (cbrt.f64 (cbrt.f64 (*.f64 x y))) (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 x y))) 2))
(+.f64 1 (-.f64 (cbrt.f64 (*.f64 x y)) 1))
(+.f64 (cbrt.f64 (*.f64 x y)) 0)
(cbrt.f64 (*.f64 x y))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 x y))) 2) (cbrt.f64 (cbrt.f64 (*.f64 x y))))
(+.f64 1 (-.f64 (cbrt.f64 (*.f64 x y)) 1))
(+.f64 (cbrt.f64 (*.f64 x y)) 0)
(cbrt.f64 (*.f64 x y))
(*.f64 (cbrt.f64 x) (cbrt.f64 y))
(*.f64 (cbrt.f64 y) (cbrt.f64 x))
(*.f64 (pow.f64 (*.f64 x y) 1/6) (pow.f64 (*.f64 x y) 1/6))
(+.f64 1 (-.f64 (cbrt.f64 (*.f64 x y)) 1))
(+.f64 (cbrt.f64 (*.f64 x y)) 0)
(cbrt.f64 (*.f64 x y))
(*.f64 (pow.f64 1 1/3) (cbrt.f64 (*.f64 x y)))
(+.f64 1 (-.f64 (cbrt.f64 (*.f64 x y)) 1))
(+.f64 (cbrt.f64 (*.f64 x y)) 0)
(cbrt.f64 (*.f64 x y))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (*.f64 x y)) 2) 1/3) (cbrt.f64 (cbrt.f64 (*.f64 x y))))
(+.f64 1 (-.f64 (cbrt.f64 (*.f64 x y)) 1))
(+.f64 (cbrt.f64 (*.f64 x y)) 0)
(cbrt.f64 (*.f64 x y))
(*.f64 (pow.f64 (sqrt.f64 (*.f64 x y)) 1/3) (pow.f64 (sqrt.f64 (*.f64 x y)) 1/3))
(*.f64 (cbrt.f64 (sqrt.f64 (*.f64 x y))) (cbrt.f64 (sqrt.f64 (*.f64 x y))))
(pow.f64 (pow.f64 (sqrt.f64 (*.f64 x y)) 1/6) 4)
(pow.f64 (*.f64 x y) 1/3)
(+.f64 1 (-.f64 (cbrt.f64 (*.f64 x y)) 1))
(+.f64 (cbrt.f64 (*.f64 x y)) 0)
(cbrt.f64 (*.f64 x y))
(pow.f64 (cbrt.f64 (*.f64 x y)) 1)
(+.f64 1 (-.f64 (cbrt.f64 (*.f64 x y)) 1))
(+.f64 (cbrt.f64 (*.f64 x y)) 0)
(cbrt.f64 (*.f64 x y))
(pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 x y))) 3)
(+.f64 1 (-.f64 (cbrt.f64 (*.f64 x y)) 1))
(+.f64 (cbrt.f64 (*.f64 x y)) 0)
(cbrt.f64 (*.f64 x y))
(pow.f64 (pow.f64 (*.f64 x y) 1/6) 2)
(+.f64 1 (-.f64 (cbrt.f64 (*.f64 x y)) 1))
(+.f64 (cbrt.f64 (*.f64 x y)) 0)
(cbrt.f64 (*.f64 x y))
(sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 x y)) 2))
(+.f64 1 (-.f64 (cbrt.f64 (*.f64 x y)) 1))
(+.f64 (cbrt.f64 (*.f64 x y)) 0)
(cbrt.f64 (*.f64 x y))
(log.f64 (exp.f64 (cbrt.f64 (*.f64 x y))))
(+.f64 1 (-.f64 (cbrt.f64 (*.f64 x y)) 1))
(+.f64 (cbrt.f64 (*.f64 x y)) 0)
(cbrt.f64 (*.f64 x y))
(expm1.f64 (log1p.f64 (cbrt.f64 (*.f64 x y))))
(+.f64 1 (-.f64 (cbrt.f64 (*.f64 x y)) 1))
(+.f64 (cbrt.f64 (*.f64 x y)) 0)
(cbrt.f64 (*.f64 x y))
(exp.f64 (log.f64 (cbrt.f64 (*.f64 x y))))
(+.f64 1 (-.f64 (cbrt.f64 (*.f64 x y)) 1))
(+.f64 (cbrt.f64 (*.f64 x y)) 0)
(cbrt.f64 (*.f64 x y))
(log1p.f64 (expm1.f64 (cbrt.f64 (*.f64 x y))))
(+.f64 1 (-.f64 (cbrt.f64 (*.f64 x y)) 1))
(+.f64 (cbrt.f64 (*.f64 x y)) 0)
(cbrt.f64 (*.f64 x y))
(-.f64 (+.f64 1 (*.f64 (*.f64 x y) 27)) 1)
(+.f64 1 (-.f64 (*.f64 x (*.f64 y 27)) 1))
(+.f64 (*.f64 (*.f64 x y) 27) 0)
(*.f64 y (*.f64 x 27))
(*.f64 x (*.f64 y 27))
(*.f64 (*.f64 x y) 27)
(+.f64 1 (-.f64 (*.f64 x (*.f64 y 27)) 1))
(+.f64 (*.f64 (*.f64 x y) 27) 0)
(*.f64 y (*.f64 x 27))
(*.f64 x (*.f64 y 27))
(*.f64 (cbrt.f64 (*.f64 x y)) (*.f64 3 (*.f64 (pow.f64 (cbrt.f64 (*.f64 x y)) 2) 9)))
(+.f64 1 (-.f64 (*.f64 x (*.f64 y 27)) 1))
(+.f64 (*.f64 (*.f64 x y) 27) 0)
(*.f64 y (*.f64 x 27))
(*.f64 x (*.f64 y 27))
(*.f64 3 (*.f64 (cbrt.f64 (*.f64 x y)) (*.f64 (pow.f64 (cbrt.f64 (*.f64 x y)) 2) 9)))
(+.f64 1 (-.f64 (*.f64 x (*.f64 y 27)) 1))
(+.f64 (*.f64 (*.f64 x y) 27) 0)
(*.f64 y (*.f64 x 27))
(*.f64 x (*.f64 y 27))
(*.f64 (*.f64 (cbrt.f64 (*.f64 x y)) 3) (*.f64 (pow.f64 (cbrt.f64 (*.f64 x y)) 2) 9))
(+.f64 1 (-.f64 (*.f64 x (*.f64 y 27)) 1))
(+.f64 (*.f64 (*.f64 x y) 27) 0)
(*.f64 y (*.f64 x 27))
(*.f64 x (*.f64 y 27))
(*.f64 (*.f64 (*.f64 x y) 27) 1)
(+.f64 1 (-.f64 (*.f64 x (*.f64 y 27)) 1))
(+.f64 (*.f64 (*.f64 x y) 27) 0)
(*.f64 y (*.f64 x 27))
(*.f64 x (*.f64 y 27))
(*.f64 1 (*.f64 (*.f64 x y) 27))
(+.f64 1 (-.f64 (*.f64 x (*.f64 y 27)) 1))
(+.f64 (*.f64 (*.f64 x y) 27) 0)
(*.f64 y (*.f64 x 27))
(*.f64 x (*.f64 y 27))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 (cbrt.f64 (*.f64 x y)) 3)) 2) (*.f64 (cbrt.f64 (*.f64 (cbrt.f64 (*.f64 x y)) 3)) (*.f64 (pow.f64 (cbrt.f64 (*.f64 x y)) 2) 9)))
(+.f64 1 (-.f64 (*.f64 x (*.f64 y 27)) 1))
(+.f64 (*.f64 (*.f64 x y) 27) 0)
(*.f64 y (*.f64 x 27))
(*.f64 x (*.f64 y 27))
(*.f64 27 (*.f64 x y))
(+.f64 1 (-.f64 (*.f64 x (*.f64 y 27)) 1))
(+.f64 (*.f64 (*.f64 x y) 27) 0)
(*.f64 y (*.f64 x 27))
(*.f64 x (*.f64 y 27))
(*.f64 (*.f64 (pow.f64 (cbrt.f64 (*.f64 x y)) 2) 9) (*.f64 (cbrt.f64 (*.f64 x y)) 3))
(+.f64 1 (-.f64 (*.f64 x (*.f64 y 27)) 1))
(+.f64 (*.f64 (*.f64 x y) 27) 0)
(*.f64 y (*.f64 x 27))
(*.f64 x (*.f64 y 27))
(*.f64 (sqrt.f64 (*.f64 (cbrt.f64 (*.f64 x y)) 3)) (*.f64 (sqrt.f64 (*.f64 (cbrt.f64 (*.f64 x y)) 3)) (*.f64 (pow.f64 (cbrt.f64 (*.f64 x y)) 2) 9)))
(+.f64 1 (-.f64 (*.f64 x (*.f64 y 27)) 1))
(+.f64 (*.f64 (*.f64 x y) 27) 0)
(*.f64 y (*.f64 x 27))
(*.f64 x (*.f64 y 27))
(*.f64 (sqrt.f64 (*.f64 (*.f64 x y) 27)) (sqrt.f64 (*.f64 (*.f64 x y) 27)))
(+.f64 1 (-.f64 (*.f64 x (*.f64 y 27)) 1))
(+.f64 (*.f64 (*.f64 x y) 27) 0)
(*.f64 y (*.f64 x 27))
(*.f64 x (*.f64 y 27))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (*.f64 (cbrt.f64 (*.f64 x y)) 3)) 2) 3) (*.f64 (cbrt.f64 (*.f64 x y)) 3))
(+.f64 1 (-.f64 (*.f64 x (*.f64 y 27)) 1))
(+.f64 (*.f64 (*.f64 x y) 27) 0)
(*.f64 y (*.f64 x 27))
(*.f64 x (*.f64 y 27))
(*.f64 (pow.f64 (sqrt.f64 (*.f64 (cbrt.f64 (*.f64 x y)) 3)) 3) (pow.f64 (sqrt.f64 (*.f64 (cbrt.f64 (*.f64 x y)) 3)) 3))
(+.f64 1 (-.f64 (*.f64 x (*.f64 y 27)) 1))
(+.f64 (*.f64 (*.f64 x y) 27) 0)
(*.f64 y (*.f64 x 27))
(*.f64 x (*.f64 y 27))
(*.f64 (*.f64 (*.f64 (pow.f64 (cbrt.f64 (*.f64 x y)) 2) 9) (cbrt.f64 (*.f64 x y))) 3)
(+.f64 1 (-.f64 (*.f64 x (*.f64 y 27)) 1))
(+.f64 (*.f64 (*.f64 x y) 27) 0)
(*.f64 y (*.f64 x 27))
(*.f64 x (*.f64 y 27))
(*.f64 (*.f64 (*.f64 (pow.f64 (cbrt.f64 (*.f64 x y)) 2) 9) 3) (cbrt.f64 (*.f64 x y)))
(+.f64 1 (-.f64 (*.f64 x (*.f64 y 27)) 1))
(+.f64 (*.f64 (*.f64 x y) 27) 0)
(*.f64 y (*.f64 x 27))
(*.f64 x (*.f64 y 27))
(*.f64 (*.f64 (*.f64 (pow.f64 (cbrt.f64 (*.f64 x y)) 2) 9) 1) (*.f64 (cbrt.f64 (*.f64 x y)) 3))
(+.f64 1 (-.f64 (*.f64 x (*.f64 y 27)) 1))
(+.f64 (*.f64 (*.f64 x y) 27) 0)
(*.f64 y (*.f64 x 27))
(*.f64 x (*.f64 y 27))
(*.f64 (*.f64 (*.f64 (pow.f64 (cbrt.f64 (*.f64 x y)) 2) 9) (pow.f64 (cbrt.f64 (*.f64 (cbrt.f64 (*.f64 x y)) 3)) 2)) (cbrt.f64 (*.f64 (cbrt.f64 (*.f64 x y)) 3)))
(+.f64 1 (-.f64 (*.f64 x (*.f64 y 27)) 1))
(+.f64 (*.f64 (*.f64 x y) 27) 0)
(*.f64 y (*.f64 x 27))
(*.f64 x (*.f64 y 27))
(*.f64 (*.f64 (*.f64 (pow.f64 (cbrt.f64 (*.f64 x y)) 2) 9) (sqrt.f64 (*.f64 (cbrt.f64 (*.f64 x y)) 3))) (sqrt.f64 (*.f64 (cbrt.f64 (*.f64 x y)) 3)))
(+.f64 1 (-.f64 (*.f64 x (*.f64 y 27)) 1))
(+.f64 (*.f64 (*.f64 x y) 27) 0)
(*.f64 y (*.f64 x 27))
(*.f64 x (*.f64 y 27))
(sqrt.f64 (*.f64 (pow.f64 (*.f64 x y) 2) 729))
(+.f64 1 (-.f64 (*.f64 x (*.f64 y 27)) 1))
(+.f64 (*.f64 (*.f64 x y) 27) 0)
(*.f64 y (*.f64 x 27))
(*.f64 x (*.f64 y 27))
(log.f64 (pow.f64 (pow.f64 (exp.f64 y) x) 27))
(+.f64 1 (-.f64 (*.f64 x (*.f64 y 27)) 1))
(+.f64 (*.f64 (*.f64 x y) 27) 0)
(*.f64 y (*.f64 x 27))
(*.f64 x (*.f64 y 27))
(cbrt.f64 (pow.f64 (*.f64 (*.f64 x y) 27) 3))
(+.f64 1 (-.f64 (*.f64 x (*.f64 y 27)) 1))
(+.f64 (*.f64 (*.f64 x y) 27) 0)
(*.f64 y (*.f64 x 27))
(*.f64 x (*.f64 y 27))
(expm1.f64 (log1p.f64 (*.f64 (*.f64 x y) 27)))
(+.f64 1 (-.f64 (*.f64 x (*.f64 y 27)) 1))
(+.f64 (*.f64 (*.f64 x y) 27) 0)
(*.f64 y (*.f64 x 27))
(*.f64 x (*.f64 y 27))
(exp.f64 (log.f64 (*.f64 (*.f64 x y) 27)))
(+.f64 1 (-.f64 (*.f64 x (*.f64 y 27)) 1))
(+.f64 (*.f64 (*.f64 x y) 27) 0)
(*.f64 y (*.f64 x 27))
(*.f64 x (*.f64 y 27))
(log1p.f64 (expm1.f64 (*.f64 (*.f64 x y) 27)))
(+.f64 1 (-.f64 (*.f64 x (*.f64 y 27)) 1))
(+.f64 (*.f64 (*.f64 x y) 27) 0)
(*.f64 y (*.f64 x 27))
(*.f64 x (*.f64 y 27))
(-.f64 (+.f64 1 (*.f64 (cbrt.f64 (*.f64 x y)) 3)) 1)
(+.f64 1 (-.f64 (*.f64 (cbrt.f64 (*.f64 x y)) 3) 1))
(+.f64 (*.f64 (cbrt.f64 (*.f64 x y)) 3) 0)
(*.f64 (cbrt.f64 (*.f64 x y)) 3)
(pow.f64 (*.f64 (cbrt.f64 (*.f64 x y)) 3) 1)
(+.f64 1 (-.f64 (*.f64 (cbrt.f64 (*.f64 x y)) 3) 1))
(+.f64 (*.f64 (cbrt.f64 (*.f64 x y)) 3) 0)
(*.f64 (cbrt.f64 (*.f64 x y)) 3)
(pow.f64 (*.f64 (*.f64 x y) 27) 1/3)
(+.f64 1 (-.f64 (*.f64 (cbrt.f64 (*.f64 x y)) 3) 1))
(+.f64 (*.f64 (cbrt.f64 (*.f64 x y)) 3) 0)
(*.f64 (cbrt.f64 (*.f64 x y)) 3)
(pow.f64 (cbrt.f64 (*.f64 (cbrt.f64 (*.f64 x y)) 3)) 3)
(+.f64 1 (-.f64 (*.f64 (cbrt.f64 (*.f64 x y)) 3) 1))
(+.f64 (*.f64 (cbrt.f64 (*.f64 x y)) 3) 0)
(*.f64 (cbrt.f64 (*.f64 x y)) 3)
(pow.f64 (sqrt.f64 (*.f64 (cbrt.f64 (*.f64 x y)) 3)) 2)
(+.f64 1 (-.f64 (*.f64 (cbrt.f64 (*.f64 x y)) 3) 1))
(+.f64 (*.f64 (cbrt.f64 (*.f64 x y)) 3) 0)
(*.f64 (cbrt.f64 (*.f64 x y)) 3)
(sqrt.f64 (*.f64 (pow.f64 (cbrt.f64 (*.f64 x y)) 2) 9))
(fabs.f64 (*.f64 (cbrt.f64 (*.f64 x y)) 3))
(log.f64 (pow.f64 (exp.f64 3) (cbrt.f64 (*.f64 x y))))
(+.f64 1 (-.f64 (*.f64 (cbrt.f64 (*.f64 x y)) 3) 1))
(+.f64 (*.f64 (cbrt.f64 (*.f64 x y)) 3) 0)
(*.f64 (cbrt.f64 (*.f64 x y)) 3)
(cbrt.f64 (*.f64 (*.f64 x y) 27))
(+.f64 1 (-.f64 (*.f64 (cbrt.f64 (*.f64 x y)) 3) 1))
(+.f64 (*.f64 (cbrt.f64 (*.f64 x y)) 3) 0)
(*.f64 (cbrt.f64 (*.f64 x y)) 3)
(expm1.f64 (log1p.f64 (*.f64 (cbrt.f64 (*.f64 x y)) 3)))
(+.f64 1 (-.f64 (*.f64 (cbrt.f64 (*.f64 x y)) 3) 1))
(+.f64 (*.f64 (cbrt.f64 (*.f64 x y)) 3) 0)
(*.f64 (cbrt.f64 (*.f64 x y)) 3)
(exp.f64 (log.f64 (*.f64 (cbrt.f64 (*.f64 x y)) 3)))
(+.f64 1 (-.f64 (*.f64 (cbrt.f64 (*.f64 x y)) 3) 1))
(+.f64 (*.f64 (cbrt.f64 (*.f64 x y)) 3) 0)
(*.f64 (cbrt.f64 (*.f64 x y)) 3)
(log1p.f64 (expm1.f64 (*.f64 (cbrt.f64 (*.f64 x y)) 3)))
(+.f64 1 (-.f64 (*.f64 (cbrt.f64 (*.f64 x y)) 3) 1))
(+.f64 (*.f64 (cbrt.f64 (*.f64 x y)) 3) 0)
(*.f64 (cbrt.f64 (*.f64 x y)) 3)

eval16.0ms (0.5%)

Compiler

Compiled 808 to 462 computations (42.8% saved)

prune13.0ms (0.4%)

Pruning

5 alts after pruning (1 fresh and 4 done)

PrunedKeptTotal
New68169
Fresh000
Picked011
Done033
Total68573
Accuracy
100.0%
Counts
73 → 5
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓98.3%
(pow.f64 (*.f64 (cbrt.f64 (*.f64 x y)) 3) 3)
▶98.4%
(*.f64 (*.f64 (*.f64 (pow.f64 (cbrt.f64 (*.f64 x y)) 2) 9) 3) (cbrt.f64 (*.f64 x y)))
✓99.7%
(*.f64 (*.f64 x 27) y)
✓99.8%
(*.f64 x (*.f64 27 y))
✓99.6%
(*.f64 27 (*.f64 x y))
✓98.3%
(pow.f64 (*.f64 (cbrt.f64 (*.f64 x y)) 3) 3)
▶98.4%
(*.f64 (*.f64 (*.f64 (pow.f64 (cbrt.f64 (*.f64 x y)) 2) 9) 3) (cbrt.f64 (*.f64 x y)))
✓99.7%
(*.f64 (*.f64 x 27) y)
✓99.8%
(*.f64 x (*.f64 27 y))
✓99.6%
(*.f64 27 (*.f64 x y))
Compiler

Compiled 96 to 68 computations (29.2% saved)

localize89.0ms (2.8%)

Localize:

Found 4 expressions with local error:

NewAccuracyProgram
✓99.6%
(*.f64 (*.f64 (*.f64 (pow.f64 (cbrt.f64 (*.f64 x y)) 2) 9) 3) (cbrt.f64 (*.f64 x y)))
✓99.6%
(*.f64 (*.f64 (pow.f64 (cbrt.f64 (*.f64 x y)) 2) 9) 3)
✓99.2%
(pow.f64 (cbrt.f64 (*.f64 x y)) 2)
72.5%
(cbrt.f64 (*.f64 x y))
Compiler

Compiled 54 to 27 computations (50% saved)

series20.0ms (0.6%)

Counts
3 → 24
Calls

18 calls:

TimeVariablePointExpression
4.0ms
y
@0
(*.f64 (*.f64 (*.f64 (pow.f64 (cbrt.f64 (*.f64 x y)) 2) 9) 3) (cbrt.f64 (*.f64 x y)))
4.0ms
y
@inf
(pow.f64 (cbrt.f64 (*.f64 x y)) 2)
3.0ms
x
@-inf
(*.f64 (*.f64 (*.f64 (pow.f64 (cbrt.f64 (*.f64 x y)) 2) 9) 3) (cbrt.f64 (*.f64 x y)))
2.0ms
y
@-inf
(*.f64 (*.f64 (*.f64 (pow.f64 (cbrt.f64 (*.f64 x y)) 2) 9) 3) (cbrt.f64 (*.f64 x y)))
2.0ms
x
@0
(*.f64 (*.f64 (*.f64 (pow.f64 (cbrt.f64 (*.f64 x y)) 2) 9) 3) (cbrt.f64 (*.f64 x y)))

rewrite93.0ms (2.9%)

Algorithm
1×batch-egg-rewrite
Rules
1212×log-prod
890×prod-exp
788×pow-prod-down
600×pow-prod-up
532×pow-unpow
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01479
128153
2313353
Stop Event
1×node limit
Counts
3 → 93
Calls
Call 1
Inputs
(pow.f64 (cbrt.f64 (*.f64 x y)) 2)
(*.f64 (*.f64 (pow.f64 (cbrt.f64 (*.f64 x y)) 2) 9) 3)
(*.f64 (*.f64 (*.f64 (pow.f64 (cbrt.f64 (*.f64 x y)) 2) 9) 3) (cbrt.f64 (*.f64 x y)))
Outputs
(+.f64 0 (pow.f64 (cbrt.f64 (*.f64 x y)) 2))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (pow.f64 (cbrt.f64 (*.f64 x y)) 2))) 2)) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 (cbrt.f64 (*.f64 x y)) 2)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (cbrt.f64 (*.f64 x y)) 2)))) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (cbrt.f64 (*.f64 x y)) 2)))))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (cbrt.f64 (*.f64 x y)) 2))) 1)
(*.f64 (cbrt.f64 (*.f64 x y)) (cbrt.f64 (*.f64 x y)))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 x y)) 2) 1)
(*.f64 1 (pow.f64 (cbrt.f64 (*.f64 x y)) 2))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 x y))) 2) (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 x y))) 4))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 x y))) 4) (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 x y))) 2))
(*.f64 (cbrt.f64 x) (*.f64 (cbrt.f64 y) (cbrt.f64 (*.f64 x y))))
(*.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 y) 2))
(*.f64 (sqrt.f64 (*.f64 x y)) (pow.f64 (*.f64 x y) 1/6))
(*.f64 (pow.f64 (*.f64 x y) 1/6) (sqrt.f64 (*.f64 x y)))
(*.f64 (*.f64 (cbrt.f64 (*.f64 x y)) (cbrt.f64 x)) (cbrt.f64 y))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 x y))) 5) (cbrt.f64 (cbrt.f64 (*.f64 x y))))
(sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 x y)) 4))
(log.f64 (exp.f64 (pow.f64 (cbrt.f64 (*.f64 x y)) 2)))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (cbrt.f64 (*.f64 x y)) 2))))
(cbrt.f64 (pow.f64 (*.f64 x y) 2))
(expm1.f64 (log1p.f64 (pow.f64 (cbrt.f64 (*.f64 x y)) 2)))
(exp.f64 (*.f64 2/3 (log.f64 (*.f64 x y))))
(exp.f64 (*.f64 (*.f64 2/3 (log.f64 (*.f64 x y))) 1))
(exp.f64 (*.f64 (log.f64 (*.f64 x y)) 2/3))
(exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 x y)) 1) 2/3))
(exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 x y)) 1/3) 2))
(exp.f64 (*.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 x y))) 1) 2))
(exp.f64 (*.f64 (*.f64 (*.f64 2/3 (log.f64 (*.f64 x y))) 1) 1))
(exp.f64 (*.f64 (*.f64 1/3 (*.f64 2/3 (log.f64 (*.f64 x y)))) 3))
(exp.f64 (*.f64 (*.f64 2 (log.f64 (*.f64 x y))) 1/3))
(exp.f64 (+.f64 (log.f64 (cbrt.f64 (*.f64 x y))) (*.f64 (log.f64 (*.f64 x y)) 1/3)))
(exp.f64 (+.f64 (log.f64 (cbrt.f64 (*.f64 x y))) (*.f64 (log.f64 (cbrt.f64 (*.f64 x y))) 1)))
(exp.f64 (+.f64 (*.f64 (log.f64 (*.f64 x y)) 1/3) (log.f64 (cbrt.f64 (*.f64 x y)))))
(exp.f64 (+.f64 (*.f64 (log.f64 (*.f64 x y)) 1/3) (*.f64 (log.f64 (*.f64 x y)) 1/3)))
(exp.f64 (+.f64 (*.f64 (log.f64 (*.f64 x y)) 1/3) (*.f64 (log.f64 (cbrt.f64 (*.f64 x y))) 1)))
(exp.f64 (+.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 x y))) 1) (log.f64 (cbrt.f64 (*.f64 x y)))))
(exp.f64 (+.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 x y))) 1) (*.f64 (log.f64 (*.f64 x y)) 1/3)))
(exp.f64 (+.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 x y))) 1) (*.f64 (log.f64 (cbrt.f64 (*.f64 x y))) 1)))
(log1p.f64 (expm1.f64 (pow.f64 (cbrt.f64 (*.f64 x y)) 2)))
(+.f64 0 (*.f64 (pow.f64 (cbrt.f64 (*.f64 x y)) 2) 27))
(+.f64 (log.f64 (pow.f64 (exp.f64 18) (pow.f64 (cbrt.f64 (*.f64 x y)) 2))) (*.f64 (pow.f64 (cbrt.f64 (*.f64 x y)) 2) 9))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (*.f64 (pow.f64 (cbrt.f64 (*.f64 x y)) 2) 27)))) (log.f64 (sqrt.f64 (exp.f64 (*.f64 (pow.f64 (cbrt.f64 (*.f64 x y)) 2) 27)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (pow.f64 (cbrt.f64 (*.f64 x y)) 2) 27))) 1)
(pow.f64 (*.f64 (pow.f64 (cbrt.f64 (*.f64 x y)) 2) 27) 1)
(pow.f64 (*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 x y))) 2) 3) 3)
(pow.f64 (*.f64 (pow.f64 (cbrt.f64 (*.f64 x y)) 4) 729) 1/2)
(pow.f64 (*.f64 (pow.f64 (*.f64 (*.f64 x y) 27) 2) 27) 1/3)
(pow.f64 (*.f64 (cbrt.f64 (*.f64 x y)) (sqrt.f64 27)) 2)
(sqrt.f64 (*.f64 (pow.f64 (cbrt.f64 (*.f64 x y)) 4) 729))
(log.f64 (exp.f64 (*.f64 (pow.f64 (cbrt.f64 (*.f64 x y)) 2) 27)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (pow.f64 (cbrt.f64 (*.f64 x y)) 2) 27))))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 (*.f64 x y) 27) 2) 27))
(expm1.f64 (log1p.f64 (*.f64 (pow.f64 (cbrt.f64 (*.f64 x y)) 2) 27)))
(exp.f64 (+.f64 (*.f64 2/3 (log.f64 (*.f64 x y))) (log.f64 27)))
(exp.f64 (*.f64 (+.f64 (*.f64 2/3 (log.f64 (*.f64 x y))) (log.f64 27)) 1))
(exp.f64 (*.f64 (*.f64 (+.f64 (*.f64 2/3 (log.f64 (*.f64 x y))) (log.f64 27)) 1) 1))
(exp.f64 (*.f64 (log.f64 (*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 x y))) 2) 3)) 3))
(exp.f64 (*.f64 (log.f64 (*.f64 (pow.f64 (*.f64 (*.f64 x y) 27) 2) 27)) 1/3))
(exp.f64 (*.f64 (log.f64 (*.f64 (cbrt.f64 (*.f64 x y)) (sqrt.f64 27))) 2))
(log1p.f64 (expm1.f64 (*.f64 (pow.f64 (cbrt.f64 (*.f64 x y)) 2) 27)))
(+.f64 0 (*.f64 (*.f64 x y) 27))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 y) x) 27)) 2)) (log.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 y) x) 27))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 y) x) 27))) (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 y) x) 27))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (*.f64 x y) 27))) 1)
(pow.f64 (*.f64 (pow.f64 (cbrt.f64 (*.f64 x y)) 2) 9) 3/2)
(pow.f64 (*.f64 (*.f64 x y) 27) 1)
(pow.f64 (pow.f64 (*.f64 (*.f64 x y) 27) 2) 1/2)
(pow.f64 (pow.f64 (*.f64 (*.f64 x y) 27) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 (*.f64 x y) 27)) 2)
(pow.f64 (cbrt.f64 (*.f64 (*.f64 x y) 27)) 3)
(sqrt.f64 (pow.f64 (*.f64 (*.f64 x y) 27) 2))
(log.f64 (pow.f64 (pow.f64 (exp.f64 y) x) 27))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (*.f64 x y) 27))))
(cbrt.f64 (pow.f64 (*.f64 (*.f64 x y) 27) 3))
(expm1.f64 (log1p.f64 (*.f64 (*.f64 x y) 27)))
(exp.f64 (log.f64 (*.f64 (*.f64 x y) 27)))
(exp.f64 (*.f64 (log.f64 (*.f64 (*.f64 x y) 27)) 1))
(exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 (*.f64 x y) 27)) 1) 1))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (*.f64 (*.f64 x y) 27))) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 (*.f64 x y) 27))) 2))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 (*.f64 x y) 27))) 3))
(exp.f64 (+.f64 (log.f64 (cbrt.f64 (*.f64 x y))) (*.f64 (+.f64 (*.f64 2/3 (log.f64 (*.f64 x y))) (log.f64 27)) 1)))
(exp.f64 (+.f64 (*.f64 (log.f64 (*.f64 x y)) 1/3) (+.f64 (*.f64 2/3 (log.f64 (*.f64 x y))) (log.f64 27))))
(exp.f64 (+.f64 (*.f64 (log.f64 (*.f64 x y)) 1/3) (*.f64 (+.f64 (*.f64 2/3 (log.f64 (*.f64 x y))) (log.f64 27)) 1)))
(exp.f64 (+.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 x y))) 1) (+.f64 (*.f64 2/3 (log.f64 (*.f64 x y))) (log.f64 27))))
(exp.f64 (+.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 x y))) 1) (*.f64 (+.f64 (*.f64 2/3 (log.f64 (*.f64 x y))) (log.f64 27)) 1)))
(exp.f64 (+.f64 (*.f64 (+.f64 (log1p.f64 8) (*.f64 2/3 (log.f64 (*.f64 x y)))) 1) (log.f64 (cbrt.f64 (*.f64 (*.f64 x y) 27)))))
(exp.f64 (+.f64 (+.f64 (*.f64 2/3 (log.f64 (*.f64 x y))) (log.f64 27)) (*.f64 (log.f64 (*.f64 x y)) 1/3)))
(exp.f64 (+.f64 (+.f64 (*.f64 2/3 (log.f64 (*.f64 x y))) (log.f64 27)) (*.f64 (log.f64 (cbrt.f64 (*.f64 x y))) 1)))
(exp.f64 (+.f64 (*.f64 (+.f64 (*.f64 2/3 (log.f64 (*.f64 x y))) (log.f64 27)) 1) (log.f64 (cbrt.f64 (*.f64 x y)))))
(exp.f64 (+.f64 (*.f64 (+.f64 (*.f64 2/3 (log.f64 (*.f64 x y))) (log.f64 27)) 1) (*.f64 (log.f64 (*.f64 x y)) 1/3)))
(exp.f64 (+.f64 (*.f64 (+.f64 (*.f64 2/3 (log.f64 (*.f64 x y))) (log.f64 27)) 1) (*.f64 (log.f64 (cbrt.f64 (*.f64 x y))) 1)))
(exp.f64 (+.f64 (log.f64 (cbrt.f64 (*.f64 (*.f64 x y) 27))) (*.f64 (+.f64 (log1p.f64 8) (*.f64 2/3 (log.f64 (*.f64 x y)))) 1)))
(log1p.f64 (expm1.f64 (*.f64 (*.f64 x y) 27)))

simplify95.0ms (2.9%)

Algorithm
1×egg-herbie
Rules
1000×fma-def
826×log-prod
808×exp-sum
564×distribute-lft-in
542×distribute-rgt-in
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
02362175
15172095
213902095
346972095
Stop Event
1×node limit
Counts
117 → 106
Calls
Call 1
Inputs
(*.f64 27 (*.f64 x y))
(*.f64 27 (*.f64 x y))
(*.f64 27 (*.f64 x y))
(*.f64 27 (*.f64 x y))
(*.f64 27 (*.f64 x y))
(*.f64 27 (*.f64 x y))
(*.f64 27 (*.f64 x y))
(*.f64 27 (*.f64 x y))
(*.f64 27 (*.f64 x y))
(*.f64 27 (*.f64 x y))
(*.f64 27 (*.f64 x y))
(*.f64 27 (*.f64 x y))
(*.f64 27 (*.f64 x y))
(*.f64 27 (*.f64 x y))
(*.f64 27 (*.f64 x y))
(*.f64 27 (*.f64 x y))
(*.f64 27 (*.f64 x y))
(*.f64 27 (*.f64 x y))
(*.f64 27 (*.f64 x y))
(*.f64 27 (*.f64 x y))
(*.f64 27 (*.f64 x y))
(*.f64 27 (*.f64 x y))
(*.f64 27 (*.f64 x y))
(*.f64 27 (*.f64 x y))
(+.f64 0 (pow.f64 (cbrt.f64 (*.f64 x y)) 2))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (pow.f64 (cbrt.f64 (*.f64 x y)) 2))) 2)) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 (cbrt.f64 (*.f64 x y)) 2)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (cbrt.f64 (*.f64 x y)) 2)))) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (cbrt.f64 (*.f64 x y)) 2)))))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (cbrt.f64 (*.f64 x y)) 2))) 1)
(*.f64 (cbrt.f64 (*.f64 x y)) (cbrt.f64 (*.f64 x y)))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 x y)) 2) 1)
(*.f64 1 (pow.f64 (cbrt.f64 (*.f64 x y)) 2))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 x y))) 2) (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 x y))) 4))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 x y))) 4) (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 x y))) 2))
(*.f64 (cbrt.f64 x) (*.f64 (cbrt.f64 y) (cbrt.f64 (*.f64 x y))))
(*.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 y) 2))
(*.f64 (sqrt.f64 (*.f64 x y)) (pow.f64 (*.f64 x y) 1/6))
(*.f64 (pow.f64 (*.f64 x y) 1/6) (sqrt.f64 (*.f64 x y)))
(*.f64 (*.f64 (cbrt.f64 (*.f64 x y)) (cbrt.f64 x)) (cbrt.f64 y))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 x y))) 5) (cbrt.f64 (cbrt.f64 (*.f64 x y))))
(sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 x y)) 4))
(log.f64 (exp.f64 (pow.f64 (cbrt.f64 (*.f64 x y)) 2)))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (cbrt.f64 (*.f64 x y)) 2))))
(cbrt.f64 (pow.f64 (*.f64 x y) 2))
(expm1.f64 (log1p.f64 (pow.f64 (cbrt.f64 (*.f64 x y)) 2)))
(exp.f64 (*.f64 2/3 (log.f64 (*.f64 x y))))
(exp.f64 (*.f64 (*.f64 2/3 (log.f64 (*.f64 x y))) 1))
(exp.f64 (*.f64 (log.f64 (*.f64 x y)) 2/3))
(exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 x y)) 1) 2/3))
(exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 x y)) 1/3) 2))
(exp.f64 (*.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 x y))) 1) 2))
(exp.f64 (*.f64 (*.f64 (*.f64 2/3 (log.f64 (*.f64 x y))) 1) 1))
(exp.f64 (*.f64 (*.f64 1/3 (*.f64 2/3 (log.f64 (*.f64 x y)))) 3))
(exp.f64 (*.f64 (*.f64 2 (log.f64 (*.f64 x y))) 1/3))
(exp.f64 (+.f64 (log.f64 (cbrt.f64 (*.f64 x y))) (*.f64 (log.f64 (*.f64 x y)) 1/3)))
(exp.f64 (+.f64 (log.f64 (cbrt.f64 (*.f64 x y))) (*.f64 (log.f64 (cbrt.f64 (*.f64 x y))) 1)))
(exp.f64 (+.f64 (*.f64 (log.f64 (*.f64 x y)) 1/3) (log.f64 (cbrt.f64 (*.f64 x y)))))
(exp.f64 (+.f64 (*.f64 (log.f64 (*.f64 x y)) 1/3) (*.f64 (log.f64 (*.f64 x y)) 1/3)))
(exp.f64 (+.f64 (*.f64 (log.f64 (*.f64 x y)) 1/3) (*.f64 (log.f64 (cbrt.f64 (*.f64 x y))) 1)))
(exp.f64 (+.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 x y))) 1) (log.f64 (cbrt.f64 (*.f64 x y)))))
(exp.f64 (+.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 x y))) 1) (*.f64 (log.f64 (*.f64 x y)) 1/3)))
(exp.f64 (+.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 x y))) 1) (*.f64 (log.f64 (cbrt.f64 (*.f64 x y))) 1)))
(log1p.f64 (expm1.f64 (pow.f64 (cbrt.f64 (*.f64 x y)) 2)))
(+.f64 0 (*.f64 (pow.f64 (cbrt.f64 (*.f64 x y)) 2) 27))
(+.f64 (log.f64 (pow.f64 (exp.f64 18) (pow.f64 (cbrt.f64 (*.f64 x y)) 2))) (*.f64 (pow.f64 (cbrt.f64 (*.f64 x y)) 2) 9))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (*.f64 (pow.f64 (cbrt.f64 (*.f64 x y)) 2) 27)))) (log.f64 (sqrt.f64 (exp.f64 (*.f64 (pow.f64 (cbrt.f64 (*.f64 x y)) 2) 27)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (pow.f64 (cbrt.f64 (*.f64 x y)) 2) 27))) 1)
(pow.f64 (*.f64 (pow.f64 (cbrt.f64 (*.f64 x y)) 2) 27) 1)
(pow.f64 (*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 x y))) 2) 3) 3)
(pow.f64 (*.f64 (pow.f64 (cbrt.f64 (*.f64 x y)) 4) 729) 1/2)
(pow.f64 (*.f64 (pow.f64 (*.f64 (*.f64 x y) 27) 2) 27) 1/3)
(pow.f64 (*.f64 (cbrt.f64 (*.f64 x y)) (sqrt.f64 27)) 2)
(sqrt.f64 (*.f64 (pow.f64 (cbrt.f64 (*.f64 x y)) 4) 729))
(log.f64 (exp.f64 (*.f64 (pow.f64 (cbrt.f64 (*.f64 x y)) 2) 27)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (pow.f64 (cbrt.f64 (*.f64 x y)) 2) 27))))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 (*.f64 x y) 27) 2) 27))
(expm1.f64 (log1p.f64 (*.f64 (pow.f64 (cbrt.f64 (*.f64 x y)) 2) 27)))
(exp.f64 (+.f64 (*.f64 2/3 (log.f64 (*.f64 x y))) (log.f64 27)))
(exp.f64 (*.f64 (+.f64 (*.f64 2/3 (log.f64 (*.f64 x y))) (log.f64 27)) 1))
(exp.f64 (*.f64 (*.f64 (+.f64 (*.f64 2/3 (log.f64 (*.f64 x y))) (log.f64 27)) 1) 1))
(exp.f64 (*.f64 (log.f64 (*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 x y))) 2) 3)) 3))
(exp.f64 (*.f64 (log.f64 (*.f64 (pow.f64 (*.f64 (*.f64 x y) 27) 2) 27)) 1/3))
(exp.f64 (*.f64 (log.f64 (*.f64 (cbrt.f64 (*.f64 x y)) (sqrt.f64 27))) 2))
(log1p.f64 (expm1.f64 (*.f64 (pow.f64 (cbrt.f64 (*.f64 x y)) 2) 27)))
(+.f64 0 (*.f64 (*.f64 x y) 27))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 y) x) 27)) 2)) (log.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 y) x) 27))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 y) x) 27))) (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 y) x) 27))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (*.f64 x y) 27))) 1)
(pow.f64 (*.f64 (pow.f64 (cbrt.f64 (*.f64 x y)) 2) 9) 3/2)
(pow.f64 (*.f64 (*.f64 x y) 27) 1)
(pow.f64 (pow.f64 (*.f64 (*.f64 x y) 27) 2) 1/2)
(pow.f64 (pow.f64 (*.f64 (*.f64 x y) 27) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 (*.f64 x y) 27)) 2)
(pow.f64 (cbrt.f64 (*.f64 (*.f64 x y) 27)) 3)
(sqrt.f64 (pow.f64 (*.f64 (*.f64 x y) 27) 2))
(log.f64 (pow.f64 (pow.f64 (exp.f64 y) x) 27))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (*.f64 x y) 27))))
(cbrt.f64 (pow.f64 (*.f64 (*.f64 x y) 27) 3))
(expm1.f64 (log1p.f64 (*.f64 (*.f64 x y) 27)))
(exp.f64 (log.f64 (*.f64 (*.f64 x y) 27)))
(exp.f64 (*.f64 (log.f64 (*.f64 (*.f64 x y) 27)) 1))
(exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 (*.f64 x y) 27)) 1) 1))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (*.f64 (*.f64 x y) 27))) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 (*.f64 x y) 27))) 2))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 (*.f64 x y) 27))) 3))
(exp.f64 (+.f64 (log.f64 (cbrt.f64 (*.f64 x y))) (*.f64 (+.f64 (*.f64 2/3 (log.f64 (*.f64 x y))) (log.f64 27)) 1)))
(exp.f64 (+.f64 (*.f64 (log.f64 (*.f64 x y)) 1/3) (+.f64 (*.f64 2/3 (log.f64 (*.f64 x y))) (log.f64 27))))
(exp.f64 (+.f64 (*.f64 (log.f64 (*.f64 x y)) 1/3) (*.f64 (+.f64 (*.f64 2/3 (log.f64 (*.f64 x y))) (log.f64 27)) 1)))
(exp.f64 (+.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 x y))) 1) (+.f64 (*.f64 2/3 (log.f64 (*.f64 x y))) (log.f64 27))))
(exp.f64 (+.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 x y))) 1) (*.f64 (+.f64 (*.f64 2/3 (log.f64 (*.f64 x y))) (log.f64 27)) 1)))
(exp.f64 (+.f64 (*.f64 (+.f64 (log1p.f64 8) (*.f64 2/3 (log.f64 (*.f64 x y)))) 1) (log.f64 (cbrt.f64 (*.f64 (*.f64 x y) 27)))))
(exp.f64 (+.f64 (+.f64 (*.f64 2/3 (log.f64 (*.f64 x y))) (log.f64 27)) (*.f64 (log.f64 (*.f64 x y)) 1/3)))
(exp.f64 (+.f64 (+.f64 (*.f64 2/3 (log.f64 (*.f64 x y))) (log.f64 27)) (*.f64 (log.f64 (cbrt.f64 (*.f64 x y))) 1)))
(exp.f64 (+.f64 (*.f64 (+.f64 (*.f64 2/3 (log.f64 (*.f64 x y))) (log.f64 27)) 1) (log.f64 (cbrt.f64 (*.f64 x y)))))
(exp.f64 (+.f64 (*.f64 (+.f64 (*.f64 2/3 (log.f64 (*.f64 x y))) (log.f64 27)) 1) (*.f64 (log.f64 (*.f64 x y)) 1/3)))
(exp.f64 (+.f64 (*.f64 (+.f64 (*.f64 2/3 (log.f64 (*.f64 x y))) (log.f64 27)) 1) (*.f64 (log.f64 (cbrt.f64 (*.f64 x y))) 1)))
(exp.f64 (+.f64 (log.f64 (cbrt.f64 (*.f64 (*.f64 x y) 27))) (*.f64 (+.f64 (log1p.f64 8) (*.f64 2/3 (log.f64 (*.f64 x y)))) 1)))
(log1p.f64 (expm1.f64 (*.f64 (*.f64 x y) 27)))
Outputs
(*.f64 27 (*.f64 x y))
(*.f64 27 (*.f64 x y))
(*.f64 27 (*.f64 x y))
(*.f64 27 (*.f64 x y))
(*.f64 27 (*.f64 x y))
(*.f64 27 (*.f64 x y))
(*.f64 27 (*.f64 x y))
(*.f64 27 (*.f64 x y))
(*.f64 27 (*.f64 x y))
(*.f64 27 (*.f64 x y))
(*.f64 27 (*.f64 x y))
(*.f64 27 (*.f64 x y))
(*.f64 27 (*.f64 x y))
(*.f64 27 (*.f64 x y))
(*.f64 27 (*.f64 x y))
(*.f64 27 (*.f64 x y))
(*.f64 27 (*.f64 x y))
(*.f64 27 (*.f64 x y))
(*.f64 27 (*.f64 x y))
(*.f64 27 (*.f64 x y))
(*.f64 27 (*.f64 x y))
(*.f64 27 (*.f64 x y))
(*.f64 27 (*.f64 x y))
(*.f64 27 (*.f64 x y))
(+.f64 0 (pow.f64 (cbrt.f64 (*.f64 x y)) 2))
(pow.f64 (cbrt.f64 (*.f64 x y)) 2)
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (pow.f64 (cbrt.f64 (*.f64 x y)) 2))) 2)) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 (cbrt.f64 (*.f64 x y)) 2)))))
(*.f64 3 (log.f64 (cbrt.f64 (exp.f64 (pow.f64 (cbrt.f64 (*.f64 x y)) 2)))))
(*.f64 (log.f64 (cbrt.f64 (exp.f64 (pow.f64 (cbrt.f64 (*.f64 x y)) 2)))) 3)
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (cbrt.f64 (*.f64 x y)) 2)))) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (cbrt.f64 (*.f64 x y)) 2)))))
(pow.f64 (cbrt.f64 (*.f64 x y)) 2)
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (cbrt.f64 (*.f64 x y)) 2))) 1)
(pow.f64 (cbrt.f64 (*.f64 x y)) 2)
(*.f64 (cbrt.f64 (*.f64 x y)) (cbrt.f64 (*.f64 x y)))
(pow.f64 (cbrt.f64 (*.f64 x y)) 2)
(*.f64 (pow.f64 (cbrt.f64 (*.f64 x y)) 2) 1)
(pow.f64 (cbrt.f64 (*.f64 x y)) 2)
(*.f64 1 (pow.f64 (cbrt.f64 (*.f64 x y)) 2))
(pow.f64 (cbrt.f64 (*.f64 x y)) 2)
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 x y))) 2) (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 x y))) 4))
(pow.f64 (cbrt.f64 (*.f64 x y)) 2)
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 x y))) 4) (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 x y))) 2))
(pow.f64 (cbrt.f64 (*.f64 x y)) 2)
(*.f64 (cbrt.f64 x) (*.f64 (cbrt.f64 y) (cbrt.f64 (*.f64 x y))))
(*.f64 (cbrt.f64 x) (*.f64 (cbrt.f64 (*.f64 x y)) (cbrt.f64 y)))
(*.f64 (cbrt.f64 y) (*.f64 (cbrt.f64 x) (cbrt.f64 (*.f64 x y))))
(*.f64 (cbrt.f64 (*.f64 x y)) (*.f64 (cbrt.f64 x) (cbrt.f64 y)))
(*.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 y) 2))
(*.f64 (sqrt.f64 (*.f64 x y)) (pow.f64 (*.f64 x y) 1/6))
(*.f64 (pow.f64 (*.f64 x y) 1/6) (sqrt.f64 (*.f64 x y)))
(*.f64 (sqrt.f64 (*.f64 x y)) (pow.f64 (*.f64 x y) 1/6))
(*.f64 (*.f64 (cbrt.f64 (*.f64 x y)) (cbrt.f64 x)) (cbrt.f64 y))
(*.f64 (cbrt.f64 x) (*.f64 (cbrt.f64 (*.f64 x y)) (cbrt.f64 y)))
(*.f64 (cbrt.f64 y) (*.f64 (cbrt.f64 x) (cbrt.f64 (*.f64 x y))))
(*.f64 (cbrt.f64 (*.f64 x y)) (*.f64 (cbrt.f64 x) (cbrt.f64 y)))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 x y))) 5) (cbrt.f64 (cbrt.f64 (*.f64 x y))))
(pow.f64 (cbrt.f64 (*.f64 x y)) 2)
(sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 x y)) 4))
(pow.f64 (cbrt.f64 (*.f64 x y)) 2)
(log.f64 (exp.f64 (pow.f64 (cbrt.f64 (*.f64 x y)) 2)))
(pow.f64 (cbrt.f64 (*.f64 x y)) 2)
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (cbrt.f64 (*.f64 x y)) 2))))
(pow.f64 (cbrt.f64 (*.f64 x y)) 2)
(cbrt.f64 (pow.f64 (*.f64 x y) 2))
(pow.f64 (cbrt.f64 (*.f64 x y)) 2)
(expm1.f64 (log1p.f64 (pow.f64 (cbrt.f64 (*.f64 x y)) 2)))
(pow.f64 (cbrt.f64 (*.f64 x y)) 2)
(exp.f64 (*.f64 2/3 (log.f64 (*.f64 x y))))
(pow.f64 (cbrt.f64 (*.f64 x y)) 2)
(exp.f64 (*.f64 (*.f64 2/3 (log.f64 (*.f64 x y))) 1))
(pow.f64 (cbrt.f64 (*.f64 x y)) 2)
(exp.f64 (*.f64 (log.f64 (*.f64 x y)) 2/3))
(pow.f64 (cbrt.f64 (*.f64 x y)) 2)
(exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 x y)) 1) 2/3))
(pow.f64 (cbrt.f64 (*.f64 x y)) 2)
(exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 x y)) 1/3) 2))
(pow.f64 (cbrt.f64 (*.f64 x y)) 2)
(exp.f64 (*.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 x y))) 1) 2))
(pow.f64 (cbrt.f64 (*.f64 x y)) 2)
(exp.f64 (*.f64 (*.f64 (*.f64 2/3 (log.f64 (*.f64 x y))) 1) 1))
(pow.f64 (cbrt.f64 (*.f64 x y)) 2)
(exp.f64 (*.f64 (*.f64 1/3 (*.f64 2/3 (log.f64 (*.f64 x y)))) 3))
(pow.f64 (cbrt.f64 (*.f64 x y)) 2)
(exp.f64 (*.f64 (*.f64 2 (log.f64 (*.f64 x y))) 1/3))
(pow.f64 (cbrt.f64 (*.f64 x y)) 2)
(exp.f64 (+.f64 (log.f64 (cbrt.f64 (*.f64 x y))) (*.f64 (log.f64 (*.f64 x y)) 1/3)))
(pow.f64 (cbrt.f64 (*.f64 x y)) 2)
(exp.f64 (+.f64 (log.f64 (cbrt.f64 (*.f64 x y))) (*.f64 (log.f64 (cbrt.f64 (*.f64 x y))) 1)))
(pow.f64 (cbrt.f64 (*.f64 x y)) 2)
(exp.f64 (+.f64 (*.f64 (log.f64 (*.f64 x y)) 1/3) (log.f64 (cbrt.f64 (*.f64 x y)))))
(pow.f64 (cbrt.f64 (*.f64 x y)) 2)
(exp.f64 (+.f64 (*.f64 (log.f64 (*.f64 x y)) 1/3) (*.f64 (log.f64 (*.f64 x y)) 1/3)))
(pow.f64 (cbrt.f64 (*.f64 x y)) 2)
(exp.f64 (+.f64 (*.f64 (log.f64 (*.f64 x y)) 1/3) (*.f64 (log.f64 (cbrt.f64 (*.f64 x y))) 1)))
(pow.f64 (cbrt.f64 (*.f64 x y)) 2)
(exp.f64 (+.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 x y))) 1) (log.f64 (cbrt.f64 (*.f64 x y)))))
(pow.f64 (cbrt.f64 (*.f64 x y)) 2)
(exp.f64 (+.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 x y))) 1) (*.f64 (log.f64 (*.f64 x y)) 1/3)))
(pow.f64 (cbrt.f64 (*.f64 x y)) 2)
(exp.f64 (+.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 x y))) 1) (*.f64 (log.f64 (cbrt.f64 (*.f64 x y))) 1)))
(pow.f64 (cbrt.f64 (*.f64 x y)) 2)
(log1p.f64 (expm1.f64 (pow.f64 (cbrt.f64 (*.f64 x y)) 2)))
(pow.f64 (cbrt.f64 (*.f64 x y)) 2)
(+.f64 0 (*.f64 (pow.f64 (cbrt.f64 (*.f64 x y)) 2) 27))
(*.f64 27 (pow.f64 (cbrt.f64 (*.f64 x y)) 2))
(+.f64 (log.f64 (pow.f64 (exp.f64 18) (pow.f64 (cbrt.f64 (*.f64 x y)) 2))) (*.f64 (pow.f64 (cbrt.f64 (*.f64 x y)) 2) 9))
(*.f64 27 (pow.f64 (cbrt.f64 (*.f64 x y)) 2))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (*.f64 (pow.f64 (cbrt.f64 (*.f64 x y)) 2) 27)))) (log.f64 (sqrt.f64 (exp.f64 (*.f64 (pow.f64 (cbrt.f64 (*.f64 x y)) 2) 27)))))
(*.f64 27 (pow.f64 (cbrt.f64 (*.f64 x y)) 2))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (pow.f64 (cbrt.f64 (*.f64 x y)) 2) 27))) 1)
(*.f64 27 (pow.f64 (cbrt.f64 (*.f64 x y)) 2))
(pow.f64 (*.f64 (pow.f64 (cbrt.f64 (*.f64 x y)) 2) 27) 1)
(*.f64 27 (pow.f64 (cbrt.f64 (*.f64 x y)) 2))
(pow.f64 (*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 x y))) 2) 3) 3)
(*.f64 27 (pow.f64 (cbrt.f64 (*.f64 x y)) 2))
(pow.f64 (*.f64 (pow.f64 (cbrt.f64 (*.f64 x y)) 4) 729) 1/2)
(sqrt.f64 (*.f64 (pow.f64 (cbrt.f64 (*.f64 x y)) 4) 729))
(pow.f64 (*.f64 (pow.f64 (*.f64 (*.f64 x y) 27) 2) 27) 1/3)
(cbrt.f64 (*.f64 27 (pow.f64 (*.f64 27 (*.f64 x y)) 2)))
(cbrt.f64 (*.f64 27 (*.f64 729 (pow.f64 (*.f64 x y) 2))))
(pow.f64 (*.f64 (cbrt.f64 (*.f64 x y)) (sqrt.f64 27)) 2)
(*.f64 27 (pow.f64 (cbrt.f64 (*.f64 x y)) 2))
(sqrt.f64 (*.f64 (pow.f64 (cbrt.f64 (*.f64 x y)) 4) 729))
(log.f64 (exp.f64 (*.f64 (pow.f64 (cbrt.f64 (*.f64 x y)) 2) 27)))
(*.f64 27 (pow.f64 (cbrt.f64 (*.f64 x y)) 2))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (pow.f64 (cbrt.f64 (*.f64 x y)) 2) 27))))
(*.f64 27 (pow.f64 (cbrt.f64 (*.f64 x y)) 2))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 (*.f64 x y) 27) 2) 27))
(cbrt.f64 (*.f64 27 (pow.f64 (*.f64 27 (*.f64 x y)) 2)))
(cbrt.f64 (*.f64 27 (*.f64 729 (pow.f64 (*.f64 x y) 2))))
(expm1.f64 (log1p.f64 (*.f64 (pow.f64 (cbrt.f64 (*.f64 x y)) 2) 27)))
(*.f64 27 (pow.f64 (cbrt.f64 (*.f64 x y)) 2))
(exp.f64 (+.f64 (*.f64 2/3 (log.f64 (*.f64 x y))) (log.f64 27)))
(*.f64 27 (pow.f64 (cbrt.f64 (*.f64 x y)) 2))
(exp.f64 (*.f64 (+.f64 (*.f64 2/3 (log.f64 (*.f64 x y))) (log.f64 27)) 1))
(*.f64 27 (pow.f64 (cbrt.f64 (*.f64 x y)) 2))
(exp.f64 (*.f64 (*.f64 (+.f64 (*.f64 2/3 (log.f64 (*.f64 x y))) (log.f64 27)) 1) 1))
(*.f64 27 (pow.f64 (cbrt.f64 (*.f64 x y)) 2))
(exp.f64 (*.f64 (log.f64 (*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 x y))) 2) 3)) 3))
(*.f64 27 (pow.f64 (cbrt.f64 (*.f64 x y)) 2))
(exp.f64 (*.f64 (log.f64 (*.f64 (pow.f64 (*.f64 (*.f64 x y) 27) 2) 27)) 1/3))
(cbrt.f64 (*.f64 27 (pow.f64 (*.f64 27 (*.f64 x y)) 2)))
(cbrt.f64 (*.f64 27 (*.f64 729 (pow.f64 (*.f64 x y) 2))))
(exp.f64 (*.f64 (log.f64 (*.f64 (cbrt.f64 (*.f64 x y)) (sqrt.f64 27))) 2))
(*.f64 27 (pow.f64 (cbrt.f64 (*.f64 x y)) 2))
(log1p.f64 (expm1.f64 (*.f64 (pow.f64 (cbrt.f64 (*.f64 x y)) 2) 27)))
(*.f64 27 (pow.f64 (cbrt.f64 (*.f64 x y)) 2))
(+.f64 0 (*.f64 (*.f64 x y) 27))
(*.f64 27 (*.f64 x y))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 y) x) 27)) 2)) (log.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 y) x) 27))))
(*.f64 3 (log.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 y) x) 27))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 y) x) 27))) (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 y) x) 27))))
(*.f64 27 (*.f64 x y))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (*.f64 x y) 27))) 1)
(*.f64 27 (*.f64 x y))
(pow.f64 (*.f64 (pow.f64 (cbrt.f64 (*.f64 x y)) 2) 9) 3/2)
(pow.f64 (*.f64 (*.f64 x y) 27) 1)
(*.f64 27 (*.f64 x y))
(pow.f64 (pow.f64 (*.f64 (*.f64 x y) 27) 2) 1/2)
(*.f64 27 (*.f64 x y))
(pow.f64 (pow.f64 (*.f64 (*.f64 x y) 27) 3) 1/3)
(*.f64 27 (*.f64 x y))
(pow.f64 (sqrt.f64 (*.f64 (*.f64 x y) 27)) 2)
(*.f64 27 (*.f64 x y))
(pow.f64 (cbrt.f64 (*.f64 (*.f64 x y) 27)) 3)
(*.f64 27 (*.f64 x y))
(sqrt.f64 (pow.f64 (*.f64 (*.f64 x y) 27) 2))
(*.f64 27 (*.f64 x y))
(log.f64 (pow.f64 (pow.f64 (exp.f64 y) x) 27))
(*.f64 27 (*.f64 x y))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (*.f64 x y) 27))))
(*.f64 27 (*.f64 x y))
(cbrt.f64 (pow.f64 (*.f64 (*.f64 x y) 27) 3))
(*.f64 27 (*.f64 x y))
(expm1.f64 (log1p.f64 (*.f64 (*.f64 x y) 27)))
(*.f64 27 (*.f64 x y))
(exp.f64 (log.f64 (*.f64 (*.f64 x y) 27)))
(*.f64 27 (*.f64 x y))
(exp.f64 (*.f64 (log.f64 (*.f64 (*.f64 x y) 27)) 1))
(*.f64 27 (*.f64 x y))
(exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 (*.f64 x y) 27)) 1) 1))
(*.f64 27 (*.f64 x y))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (*.f64 (*.f64 x y) 27))) 1/3))
(*.f64 27 (*.f64 x y))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 (*.f64 x y) 27))) 2))
(*.f64 27 (*.f64 x y))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 (*.f64 x y) 27))) 3))
(*.f64 27 (*.f64 x y))
(exp.f64 (+.f64 (log.f64 (cbrt.f64 (*.f64 x y))) (*.f64 (+.f64 (*.f64 2/3 (log.f64 (*.f64 x y))) (log.f64 27)) 1)))
(*.f64 27 (*.f64 x y))
(exp.f64 (+.f64 (*.f64 (log.f64 (*.f64 x y)) 1/3) (+.f64 (*.f64 2/3 (log.f64 (*.f64 x y))) (log.f64 27))))
(*.f64 27 (*.f64 x y))
(exp.f64 (+.f64 (*.f64 (log.f64 (*.f64 x y)) 1/3) (*.f64 (+.f64 (*.f64 2/3 (log.f64 (*.f64 x y))) (log.f64 27)) 1)))
(*.f64 27 (*.f64 x y))
(exp.f64 (+.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 x y))) 1) (+.f64 (*.f64 2/3 (log.f64 (*.f64 x y))) (log.f64 27))))
(*.f64 27 (*.f64 x y))
(exp.f64 (+.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 x y))) 1) (*.f64 (+.f64 (*.f64 2/3 (log.f64 (*.f64 x y))) (log.f64 27)) 1)))
(*.f64 27 (*.f64 x y))
(exp.f64 (+.f64 (*.f64 (+.f64 (log1p.f64 8) (*.f64 2/3 (log.f64 (*.f64 x y)))) 1) (log.f64 (cbrt.f64 (*.f64 (*.f64 x y) 27)))))
(exp.f64 (+.f64 (log.f64 (cbrt.f64 (*.f64 27 (*.f64 x y)))) (+.f64 (*.f64 2/3 (log.f64 (*.f64 x y))) (log1p.f64 8))))
(*.f64 (cbrt.f64 (*.f64 27 (*.f64 x y))) (exp.f64 (fma.f64 2/3 (log.f64 (*.f64 x y)) (log1p.f64 8))))
(exp.f64 (+.f64 (+.f64 (*.f64 2/3 (log.f64 (*.f64 x y))) (log.f64 27)) (*.f64 (log.f64 (*.f64 x y)) 1/3)))
(*.f64 27 (*.f64 x y))
(exp.f64 (+.f64 (+.f64 (*.f64 2/3 (log.f64 (*.f64 x y))) (log.f64 27)) (*.f64 (log.f64 (cbrt.f64 (*.f64 x y))) 1)))
(*.f64 27 (*.f64 x y))
(exp.f64 (+.f64 (*.f64 (+.f64 (*.f64 2/3 (log.f64 (*.f64 x y))) (log.f64 27)) 1) (log.f64 (cbrt.f64 (*.f64 x y)))))
(*.f64 27 (*.f64 x y))
(exp.f64 (+.f64 (*.f64 (+.f64 (*.f64 2/3 (log.f64 (*.f64 x y))) (log.f64 27)) 1) (*.f64 (log.f64 (*.f64 x y)) 1/3)))
(*.f64 27 (*.f64 x y))
(exp.f64 (+.f64 (*.f64 (+.f64 (*.f64 2/3 (log.f64 (*.f64 x y))) (log.f64 27)) 1) (*.f64 (log.f64 (cbrt.f64 (*.f64 x y))) 1)))
(*.f64 27 (*.f64 x y))
(exp.f64 (+.f64 (log.f64 (cbrt.f64 (*.f64 (*.f64 x y) 27))) (*.f64 (+.f64 (log1p.f64 8) (*.f64 2/3 (log.f64 (*.f64 x y)))) 1)))
(exp.f64 (+.f64 (log.f64 (cbrt.f64 (*.f64 27 (*.f64 x y)))) (+.f64 (*.f64 2/3 (log.f64 (*.f64 x y))) (log1p.f64 8))))
(*.f64 (cbrt.f64 (*.f64 27 (*.f64 x y))) (exp.f64 (fma.f64 2/3 (log.f64 (*.f64 x y)) (log1p.f64 8))))
(log1p.f64 (expm1.f64 (*.f64 (*.f64 x y) 27)))
(*.f64 27 (*.f64 x y))

eval61.0ms (1.9%)

Compiler

Compiled 2691 to 1387 computations (48.5% saved)

prune40.0ms (1.3%)

Pruning

6 alts after pruning (1 fresh and 5 done)

PrunedKeptTotal
New1551156
Fresh000
Picked011
Done044
Total1556161
Accuracy
100.0%
Counts
161 → 6
Alt Table
Click to see full alt table
StatusAccuracyProgram
59.4%
(pow.f64 (*.f64 (pow.f64 (cbrt.f64 (*.f64 x y)) 2) 9) 3/2)
✓98.3%
(pow.f64 (*.f64 (cbrt.f64 (*.f64 x y)) 3) 3)
✓98.4%
(*.f64 (*.f64 (*.f64 (pow.f64 (cbrt.f64 (*.f64 x y)) 2) 9) 3) (cbrt.f64 (*.f64 x y)))
✓99.7%
(*.f64 (*.f64 x 27) y)
✓99.8%
(*.f64 x (*.f64 27 y))
✓99.6%
(*.f64 27 (*.f64 x y))
Compiler

Compiled 110 to 73 computations (33.6% saved)

regimes21.0ms (0.7%)

Counts
6 → 1
Calls
Call 1
Inputs
(*.f64 27 (*.f64 x y))
(*.f64 x (*.f64 27 y))
(*.f64 (*.f64 x 27) y)
(pow.f64 (*.f64 (cbrt.f64 (*.f64 x y)) 3) 3)
(pow.f64 (*.f64 (pow.f64 (cbrt.f64 (*.f64 x y)) 2) 9) 3/2)
(*.f64 (*.f64 (*.f64 (pow.f64 (cbrt.f64 (*.f64 x y)) 2) 9) 3) (cbrt.f64 (*.f64 x y)))
Outputs
(*.f64 x (*.f64 27 y))
Calls

4 calls:

6.0ms
(*.f64 (*.f64 x 27) y)
5.0ms
(*.f64 x 27)
5.0ms
x
5.0ms
y
Results
AccuracySegmentsBranch
99.8%1x
99.8%1y
99.8%1(*.f64 (*.f64 x 27) y)
99.8%1(*.f64 x 27)
Compiler

Compiled 68 to 42 computations (38.2% saved)

regimes7.0ms (0.2%)

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts
1 → 1
Calls
Call 1
Inputs
(*.f64 27 (*.f64 x y))
Outputs
(*.f64 27 (*.f64 x y))
Calls

2 calls:

3.0ms
y
3.0ms
x
Results
AccuracySegmentsBranch
99.6%1x
99.6%1y
Compiler

Compiled 13 to 9 computations (30.8% saved)

simplify5.0ms (0.1%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
0926
11326
Stop Event
1×fuel
1×saturated
Calls
Call 1
Inputs
(*.f64 x (*.f64 27 y))
(*.f64 27 (*.f64 x y))
Outputs
(*.f64 x (*.f64 27 y))
(*.f64 27 (*.f64 x y))
Compiler

Compiled 14 to 10 computations (28.6% saved)

soundness24.0ms (0.7%)

Rules
248×fma-def
36×distribute-lft-in
32×sub-neg
30×associate-*r*
24×fma-neg
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01573
13565
27265
312465
415565
520265
625165
734065
Stop Event
1×saturated
Compiler

Compiled 12 to 8 computations (33.3% saved)

end0.0ms (0%)

preprocess35.0ms (1.1%)

Compiler

Compiled 52 to 36 computations (30.8% saved)

Profiling

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