Data.Colour.RGBSpace.HSL:hsl from colour-2.3.3, F

Details

Time bar (total: 2.3s)

analyze1.0ms (0%)

Algorithm
1×search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%100%0%0%0%0%0
0%0%199.9%-99.9%0%0%0%1
100%199.9%0%-99.9%0%0%0%2
Compiler

Compiled 7 to 6 computations (14.3% saved)

sample1.4s (60.8%)

Results
727.0ms5159×body256valid
488.0ms2054×body1024valid
182.0ms1033×body512valid
2.0ms10×body2048valid
Bogosity

preprocess41.0ms (1.8%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
087
1127
011
Stop Event
1×saturated
1×saturated
Calls
Call 1
Inputs
0
Outputs
0
Call 2
Inputs
(+.f64 x (/.f64 1 3))
Outputs
(+.f64 x (/.f64 1 3))
(+.f64 x 1/3)
Compiler

Compiled 7 to 6 computations (14.3% saved)

simplify12.0ms (0.5%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
087
1127
Stop Event
1×saturated
Counts
1 → 2
Calls
Call 1
Inputs
(+.f64 x (/.f64 1 3))
Outputs
(+.f64 x (/.f64 1 3))
(+.f64 x 1/3)

eval0.0ms (0%)

Compiler

Compiled 9 to 7 computations (22.2% saved)

prune1.0ms (0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New112
Fresh101
Picked000
Done000
Total213
Accurracy
100.0%
Counts
3 → 1
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶100.0%
(+.f64 x 1/3)
▶100.0%
(+.f64 x 1/3)
Compiler

Compiled 8 to 6 computations (25% saved)

localize65.0ms (2.8%)

Local Accuracy

Found 1 expressions with local accuracy:

NewAccuracyProgram
✓100.0%
(+.f64 x 1/3)
Compiler

Compiled 7 to 5 computations (28.6% saved)

series0.0ms (0%)

Counts
1 → 12
Calls

3 calls:

TimeVariablePointExpression
0.0ms
x
@inf
(+.f64 x 1/3)
0.0ms
x
@0
(+.f64 x 1/3)
0.0ms
x
@-inf
(+.f64 x 1/3)

rewrite51.0ms (2.2%)

Algorithm
1×batch-egg-rewrite
Rules
1142×pow1
1068×add-exp-log
1068×log1p-expm1-u
1068×expm1-log1p-u
1050×add-log-exp
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
057
11117
213917
Stop Event
1×node limit
Counts
1 → 30
Calls
Call 1
Inputs
(+.f64 x 1/3)
Outputs
(-.f64 (+.f64 1 (+.f64 x 1/3)) 1)
(-.f64 (/.f64 (*.f64 x x) (+.f64 x -1/3)) (/.f64 1/9 (+.f64 x -1/3)))
(*.f64 (+.f64 x 1/3) 1)
(*.f64 1 (+.f64 x 1/3))
(*.f64 (cbrt.f64 (+.f64 x 1/3)) (pow.f64 (cbrt.f64 (+.f64 x 1/3)) 2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 x 1/3)) 2) (cbrt.f64 (+.f64 x 1/3)))
(*.f64 (sqrt.f64 (+.f64 x 1/3)) (sqrt.f64 (+.f64 x 1/3)))
(*.f64 (+.f64 (pow.f64 x 3) 1/27) (/.f64 1 (fma.f64 x x (-.f64 1/9 (*.f64 x 1/3)))))
(*.f64 (fma.f64 x x -1/9) (/.f64 1 (+.f64 x -1/3)))
(/.f64 1 (/.f64 (fma.f64 x x (-.f64 1/9 (*.f64 x 1/3))) (+.f64 (pow.f64 x 3) 1/27)))
(/.f64 1 (/.f64 (+.f64 x -1/3) (fma.f64 x x -1/9)))
(/.f64 (+.f64 (pow.f64 x 3) 1/27) (fma.f64 x x (-.f64 1/9 (*.f64 x 1/3))))
(/.f64 (+.f64 (pow.f64 x 3) 1/27) (+.f64 1/9 (-.f64 (*.f64 x x) (*.f64 x 1/3))))
(/.f64 (fma.f64 x x -1/9) (+.f64 x -1/3))
(/.f64 (neg.f64 (+.f64 (pow.f64 x 3) 1/27)) (neg.f64 (fma.f64 x x (-.f64 1/9 (*.f64 x 1/3)))))
(/.f64 (neg.f64 (fma.f64 x x -1/9)) (neg.f64 (+.f64 x -1/3)))
(/.f64 (-.f64 1/9 (*.f64 x x)) (-.f64 1/3 x))
(pow.f64 (+.f64 x 1/3) 1)
(pow.f64 (cbrt.f64 (+.f64 x 1/3)) 3)
(pow.f64 (pow.f64 (+.f64 x 1/3) 3) 1/3)
(pow.f64 (sqrt.f64 (+.f64 x 1/3)) 2)
(sqrt.f64 (pow.f64 (+.f64 x 1/3) 2))
(log.f64 (exp.f64 (+.f64 x 1/3)))
(cbrt.f64 (pow.f64 (+.f64 x 1/3) 3))
(expm1.f64 (log1p.f64 (+.f64 x 1/3)))
(exp.f64 (log.f64 (+.f64 x 1/3)))
(log1p.f64 (expm1.f64 (+.f64 x 1/3)))
(fma.f64 1 x 1/3)
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) 1/3)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) 1/3)

simplify46.0ms (2%)

Algorithm
1×egg-herbie
Rules
1702×fma-def
1262×distribute-rgt-in
1238×distribute-lft-in
606×associate-*r*
562×associate-*l*
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
080646
1188586
2577490
33151490
Stop Event
1×node limit
Counts
42 → 37
Calls
Call 1
Inputs
1/3
(+.f64 1/3 x)
(+.f64 1/3 x)
(+.f64 1/3 x)
x
(+.f64 1/3 x)
(+.f64 1/3 x)
(+.f64 1/3 x)
x
(+.f64 1/3 x)
(+.f64 1/3 x)
(+.f64 1/3 x)
(-.f64 (+.f64 1 (+.f64 x 1/3)) 1)
(-.f64 (/.f64 (*.f64 x x) (+.f64 x -1/3)) (/.f64 1/9 (+.f64 x -1/3)))
(*.f64 (+.f64 x 1/3) 1)
(*.f64 1 (+.f64 x 1/3))
(*.f64 (cbrt.f64 (+.f64 x 1/3)) (pow.f64 (cbrt.f64 (+.f64 x 1/3)) 2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 x 1/3)) 2) (cbrt.f64 (+.f64 x 1/3)))
(*.f64 (sqrt.f64 (+.f64 x 1/3)) (sqrt.f64 (+.f64 x 1/3)))
(*.f64 (+.f64 (pow.f64 x 3) 1/27) (/.f64 1 (fma.f64 x x (-.f64 1/9 (*.f64 x 1/3)))))
(*.f64 (fma.f64 x x -1/9) (/.f64 1 (+.f64 x -1/3)))
(/.f64 1 (/.f64 (fma.f64 x x (-.f64 1/9 (*.f64 x 1/3))) (+.f64 (pow.f64 x 3) 1/27)))
(/.f64 1 (/.f64 (+.f64 x -1/3) (fma.f64 x x -1/9)))
(/.f64 (+.f64 (pow.f64 x 3) 1/27) (fma.f64 x x (-.f64 1/9 (*.f64 x 1/3))))
(/.f64 (+.f64 (pow.f64 x 3) 1/27) (+.f64 1/9 (-.f64 (*.f64 x x) (*.f64 x 1/3))))
(/.f64 (fma.f64 x x -1/9) (+.f64 x -1/3))
(/.f64 (neg.f64 (+.f64 (pow.f64 x 3) 1/27)) (neg.f64 (fma.f64 x x (-.f64 1/9 (*.f64 x 1/3)))))
(/.f64 (neg.f64 (fma.f64 x x -1/9)) (neg.f64 (+.f64 x -1/3)))
(/.f64 (-.f64 1/9 (*.f64 x x)) (-.f64 1/3 x))
(pow.f64 (+.f64 x 1/3) 1)
(pow.f64 (cbrt.f64 (+.f64 x 1/3)) 3)
(pow.f64 (pow.f64 (+.f64 x 1/3) 3) 1/3)
(pow.f64 (sqrt.f64 (+.f64 x 1/3)) 2)
(sqrt.f64 (pow.f64 (+.f64 x 1/3) 2))
(log.f64 (exp.f64 (+.f64 x 1/3)))
(cbrt.f64 (pow.f64 (+.f64 x 1/3) 3))
(expm1.f64 (log1p.f64 (+.f64 x 1/3)))
(exp.f64 (log.f64 (+.f64 x 1/3)))
(log1p.f64 (expm1.f64 (+.f64 x 1/3)))
(fma.f64 1 x 1/3)
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) 1/3)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) 1/3)
Outputs
1/3
(+.f64 1/3 x)
(+.f64 1/3 x)
(+.f64 1/3 x)
x
(+.f64 1/3 x)
(+.f64 1/3 x)
(+.f64 1/3 x)
x
(+.f64 1/3 x)
(+.f64 1/3 x)
(+.f64 1/3 x)
(-.f64 (+.f64 1 (+.f64 x 1/3)) 1)
(+.f64 1/3 x)
(-.f64 (/.f64 (*.f64 x x) (+.f64 x -1/3)) (/.f64 1/9 (+.f64 x -1/3)))
(-.f64 (/.f64 x (/.f64 (+.f64 x -1/3) x)) (/.f64 1/9 (+.f64 x -1/3)))
(+.f64 (/.f64 x (/.f64 (+.f64 x -1/3) x)) (/.f64 -1/9 (+.f64 x -1/3)))
(/.f64 (fma.f64 x x -1/9) (+.f64 x -1/3))
(*.f64 (+.f64 x 1/3) 1)
(+.f64 1/3 x)
(*.f64 1 (+.f64 x 1/3))
(+.f64 1/3 x)
(*.f64 (cbrt.f64 (+.f64 x 1/3)) (pow.f64 (cbrt.f64 (+.f64 x 1/3)) 2))
(+.f64 1/3 x)
(*.f64 (pow.f64 (cbrt.f64 (+.f64 x 1/3)) 2) (cbrt.f64 (+.f64 x 1/3)))
(+.f64 1/3 x)
(*.f64 (sqrt.f64 (+.f64 x 1/3)) (sqrt.f64 (+.f64 x 1/3)))
(+.f64 1/3 x)
(*.f64 (+.f64 (pow.f64 x 3) 1/27) (/.f64 1 (fma.f64 x x (-.f64 1/9 (*.f64 x 1/3)))))
(*.f64 (+.f64 (pow.f64 x 3) 1/27) (/.f64 1 (fma.f64 x x (-.f64 1/9 (*.f64 1/3 x)))))
(/.f64 (+.f64 (pow.f64 x 3) 1/27) (fma.f64 x (+.f64 x -1/3) 1/9))
(*.f64 (fma.f64 x x -1/9) (/.f64 1 (+.f64 x -1/3)))
(-.f64 (/.f64 x (/.f64 (+.f64 x -1/3) x)) (/.f64 1/9 (+.f64 x -1/3)))
(+.f64 (/.f64 x (/.f64 (+.f64 x -1/3) x)) (/.f64 -1/9 (+.f64 x -1/3)))
(/.f64 (fma.f64 x x -1/9) (+.f64 x -1/3))
(/.f64 1 (/.f64 (fma.f64 x x (-.f64 1/9 (*.f64 x 1/3))) (+.f64 (pow.f64 x 3) 1/27)))
(*.f64 (+.f64 (pow.f64 x 3) 1/27) (/.f64 1 (fma.f64 x x (-.f64 1/9 (*.f64 1/3 x)))))
(/.f64 (+.f64 (pow.f64 x 3) 1/27) (fma.f64 x (+.f64 x -1/3) 1/9))
(/.f64 1 (/.f64 (+.f64 x -1/3) (fma.f64 x x -1/9)))
(-.f64 (/.f64 x (/.f64 (+.f64 x -1/3) x)) (/.f64 1/9 (+.f64 x -1/3)))
(+.f64 (/.f64 x (/.f64 (+.f64 x -1/3) x)) (/.f64 -1/9 (+.f64 x -1/3)))
(/.f64 (fma.f64 x x -1/9) (+.f64 x -1/3))
(/.f64 (+.f64 (pow.f64 x 3) 1/27) (fma.f64 x x (-.f64 1/9 (*.f64 x 1/3))))
(*.f64 (+.f64 (pow.f64 x 3) 1/27) (/.f64 1 (fma.f64 x x (-.f64 1/9 (*.f64 1/3 x)))))
(/.f64 (+.f64 (pow.f64 x 3) 1/27) (fma.f64 x (+.f64 x -1/3) 1/9))
(/.f64 (+.f64 (pow.f64 x 3) 1/27) (+.f64 1/9 (-.f64 (*.f64 x x) (*.f64 x 1/3))))
(*.f64 (+.f64 (pow.f64 x 3) 1/27) (/.f64 1 (fma.f64 x x (-.f64 1/9 (*.f64 1/3 x)))))
(/.f64 (+.f64 (pow.f64 x 3) 1/27) (fma.f64 x (+.f64 x -1/3) 1/9))
(/.f64 (fma.f64 x x -1/9) (+.f64 x -1/3))
(-.f64 (/.f64 x (/.f64 (+.f64 x -1/3) x)) (/.f64 1/9 (+.f64 x -1/3)))
(+.f64 (/.f64 x (/.f64 (+.f64 x -1/3) x)) (/.f64 -1/9 (+.f64 x -1/3)))
(/.f64 (neg.f64 (+.f64 (pow.f64 x 3) 1/27)) (neg.f64 (fma.f64 x x (-.f64 1/9 (*.f64 x 1/3)))))
(*.f64 (+.f64 (pow.f64 x 3) 1/27) (/.f64 1 (fma.f64 x x (-.f64 1/9 (*.f64 1/3 x)))))
(/.f64 (+.f64 (pow.f64 x 3) 1/27) (fma.f64 x (+.f64 x -1/3) 1/9))
(/.f64 (neg.f64 (fma.f64 x x -1/9)) (neg.f64 (+.f64 x -1/3)))
(-.f64 (/.f64 x (/.f64 (+.f64 x -1/3) x)) (/.f64 1/9 (+.f64 x -1/3)))
(+.f64 (/.f64 x (/.f64 (+.f64 x -1/3) x)) (/.f64 -1/9 (+.f64 x -1/3)))
(/.f64 (fma.f64 x x -1/9) (+.f64 x -1/3))
(/.f64 (-.f64 1/9 (*.f64 x x)) (-.f64 1/3 x))
(-.f64 (/.f64 x (/.f64 (+.f64 x -1/3) x)) (/.f64 1/9 (+.f64 x -1/3)))
(+.f64 (/.f64 x (/.f64 (+.f64 x -1/3) x)) (/.f64 -1/9 (+.f64 x -1/3)))
(/.f64 (fma.f64 x x -1/9) (+.f64 x -1/3))
(pow.f64 (+.f64 x 1/3) 1)
(+.f64 1/3 x)
(pow.f64 (cbrt.f64 (+.f64 x 1/3)) 3)
(+.f64 1/3 x)
(pow.f64 (pow.f64 (+.f64 x 1/3) 3) 1/3)
(+.f64 1/3 x)
(pow.f64 (sqrt.f64 (+.f64 x 1/3)) 2)
(+.f64 1/3 x)
(sqrt.f64 (pow.f64 (+.f64 x 1/3) 2))
(+.f64 1/3 x)
(log.f64 (exp.f64 (+.f64 x 1/3)))
(+.f64 1/3 x)
(cbrt.f64 (pow.f64 (+.f64 x 1/3) 3))
(+.f64 1/3 x)
(expm1.f64 (log1p.f64 (+.f64 x 1/3)))
(+.f64 1/3 x)
(exp.f64 (log.f64 (+.f64 x 1/3)))
(+.f64 1/3 x)
(log1p.f64 (expm1.f64 (+.f64 x 1/3)))
(+.f64 1/3 x)
(fma.f64 1 x 1/3)
(+.f64 1/3 x)
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) 1/3)
(+.f64 1/3 x)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) 1/3)
(+.f64 1/3 x)

eval15.0ms (0.6%)

Compiler

Compiled 319 to 235 computations (26.3% saved)

prune6.0ms (0.3%)

Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New34337
Fresh000
Picked011
Done000
Total34438
Accurracy
100.0%
Counts
38 → 4
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶99.2%
(-.f64 (+.f64 1 (+.f64 x 1/3)) 1)
✓100.0%
(+.f64 x 1/3)
47.0%
x
53.6%
1/3
▶99.2%
(-.f64 (+.f64 1 (+.f64 x 1/3)) 1)
✓100.0%
(+.f64 x 1/3)
47.0%
x
53.6%
1/3
Compiler

Compiled 32 to 26 computations (18.8% saved)

localize56.0ms (2.4%)

Local Accuracy

Found 3 expressions with local accuracy:

NewAccuracyProgram
✓100.0%
(+.f64 1 (+.f64 x 1/3))
100.0%
(+.f64 x 1/3)
✓99.2%
(-.f64 (+.f64 1 (+.f64 x 1/3)) 1)
Compiler

Compiled 20 to 16 computations (20% saved)

series3.0ms (0.1%)

Counts
2 → 24
Calls

6 calls:

TimeVariablePointExpression
3.0ms
x
@0
(+.f64 1 (+.f64 x 1/3))
0.0ms
x
@inf
(+.f64 1 (+.f64 x 1/3))
0.0ms
x
@0
(-.f64 (+.f64 1 (+.f64 x 1/3)) 1)
0.0ms
x
@inf
(-.f64 (+.f64 1 (+.f64 x 1/3)) 1)
0.0ms
x
@-inf
(+.f64 1 (+.f64 x 1/3))

rewrite67.0ms (2.9%)

Algorithm
1×batch-egg-rewrite
Rules
1952×pow1
1840×add-exp-log
1838×log1p-expm1-u
1838×expm1-log1p-u
196×add-sqr-sqrt
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0832
118814
2267214
Stop Event
1×node limit
Counts
2 → 91
Calls
Call 1
Inputs
(-.f64 (+.f64 1 (+.f64 x 1/3)) 1)
(+.f64 1 (+.f64 x 1/3))
Outputs
(+.f64 1 (+.f64 x -2/3))
(+.f64 1 (*.f64 (+.f64 x -2/3) 1))
(+.f64 x 1/3)
(+.f64 1/3 x)
(+.f64 (+.f64 x 1/3) 0)
(+.f64 (+.f64 x 4/3) -1)
(+.f64 -1 (+.f64 x 4/3))
(+.f64 (+.f64 1 x) -2/3)
(+.f64 (+.f64 x -2/3) 1)
(*.f64 1 (+.f64 x 1/3))
(*.f64 (+.f64 x 1/3) 1)
(*.f64 (cbrt.f64 (+.f64 x 1/3)) (cbrt.f64 (pow.f64 (+.f64 x 1/3) 2)))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 x 1/3) 2)) (cbrt.f64 (+.f64 x 1/3)))
(*.f64 (sqrt.f64 (+.f64 x 1/3)) (sqrt.f64 (+.f64 x 1/3)))
(*.f64 (+.f64 1/27 (pow.f64 x 3)) (/.f64 1 (fma.f64 x x (-.f64 1/9 (*.f64 x 1/3)))))
(*.f64 (+.f64 (pow.f64 (+.f64 x 4/3) 3) -1) (/.f64 1 (+.f64 (pow.f64 (+.f64 x 4/3) 2) (+.f64 (+.f64 x 1/3) 2))))
(*.f64 (fma.f64 x x -1/9) (/.f64 1 (+.f64 x -1/3)))
(*.f64 (+.f64 (pow.f64 (+.f64 x 4/3) 2) -1) (/.f64 1 (+.f64 (+.f64 x 1/3) 2)))
(*.f64 (+.f64 (sqrt.f64 (+.f64 x 4/3)) 1) (-.f64 (sqrt.f64 (+.f64 x 4/3)) 1))
(/.f64 1 (/.f64 (fma.f64 x x (-.f64 1/9 (*.f64 x 1/3))) (+.f64 1/27 (pow.f64 x 3))))
(/.f64 1 (/.f64 (+.f64 x -1/3) (fma.f64 x x -1/9)))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (+.f64 x 4/3) 2) (+.f64 (+.f64 x 1/3) 2)) (+.f64 (pow.f64 (+.f64 x 4/3) 3) -1)))
(/.f64 1 (/.f64 (+.f64 (+.f64 x 1/3) 2) (+.f64 (pow.f64 (+.f64 x 4/3) 2) -1)))
(/.f64 (+.f64 1/27 (pow.f64 x 3)) (fma.f64 x x (-.f64 1/9 (*.f64 x 1/3))))
(/.f64 (+.f64 1/27 (pow.f64 x 3)) (+.f64 1/9 (-.f64 (*.f64 x x) (*.f64 x 1/3))))
(/.f64 (+.f64 (pow.f64 (+.f64 x 4/3) 3) -1) (+.f64 (pow.f64 (+.f64 x 4/3) 2) (+.f64 (+.f64 x 1/3) 2)))
(/.f64 (+.f64 (pow.f64 (+.f64 x 4/3) 3) -1) (+.f64 (pow.f64 (+.f64 x 4/3) 2) (-.f64 1 (*.f64 (+.f64 x 4/3) -1))))
(/.f64 (fma.f64 x x -1/9) (+.f64 x -1/3))
(/.f64 (+.f64 (pow.f64 (+.f64 x 4/3) 2) -1) (+.f64 (+.f64 x 1/3) 2))
(/.f64 (+.f64 (pow.f64 (+.f64 x 4/3) 2) -1) (-.f64 (+.f64 x 4/3) -1))
(/.f64 (neg.f64 (+.f64 1/27 (pow.f64 x 3))) (neg.f64 (fma.f64 x x (-.f64 1/9 (*.f64 x 1/3)))))
(/.f64 (neg.f64 (fma.f64 x x -1/9)) (neg.f64 (+.f64 x -1/3)))
(/.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 x 4/3) 3) -1)) (neg.f64 (+.f64 (pow.f64 (+.f64 x 4/3) 2) (+.f64 (+.f64 x 1/3) 2))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 x 4/3) 2) -1)) (neg.f64 (+.f64 (+.f64 x 1/3) 2)))
(/.f64 (+.f64 1 (pow.f64 (+.f64 x -2/3) 3)) (+.f64 1 (-.f64 (*.f64 (+.f64 x -2/3) (+.f64 x -2/3)) (+.f64 x -2/3))))
(/.f64 (-.f64 1 (*.f64 (+.f64 x -2/3) (+.f64 x -2/3))) (-.f64 1 (+.f64 x -2/3)))
(/.f64 (-.f64 1/9 (*.f64 x x)) (-.f64 1/3 x))
(pow.f64 (+.f64 x 1/3) 1)
(pow.f64 (cbrt.f64 (+.f64 x 1/3)) 3)
(pow.f64 (pow.f64 (+.f64 x 1/3) 3) 1/3)
(pow.f64 (sqrt.f64 (+.f64 x 1/3)) 2)
(sqrt.f64 (pow.f64 (+.f64 x 1/3) 2))
(log.f64 (exp.f64 (+.f64 x 1/3)))
(cbrt.f64 (pow.f64 (+.f64 x 1/3) 3))
(expm1.f64 (log1p.f64 (+.f64 x 1/3)))
(exp.f64 (log.f64 (+.f64 x 1/3)))
(exp.f64 (*.f64 (log.f64 (+.f64 x 1/3)) 1))
(log1p.f64 (expm1.f64 (+.f64 x 1/3)))
(fma.f64 1 x 1/3)
(fma.f64 1 (+.f64 x 4/3) -1)
(fma.f64 (cbrt.f64 (pow.f64 (+.f64 x 4/3) 2)) (cbrt.f64 (+.f64 x 4/3)) -1)
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) 1/3)
(fma.f64 (sqrt.f64 (+.f64 x 4/3)) (sqrt.f64 (+.f64 x 4/3)) -1)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) 1/3)
(-.f64 (+.f64 (+.f64 x 1/3) 2) 1)
(-.f64 (/.f64 1 (-.f64 2/3 x)) (/.f64 (pow.f64 (+.f64 x 1/3) 2) (-.f64 2/3 x)))
(*.f64 1 (+.f64 x 4/3))
(*.f64 (+.f64 x 4/3) 1)
(*.f64 (cbrt.f64 (+.f64 x 4/3)) (cbrt.f64 (pow.f64 (+.f64 x 4/3) 2)))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 x 4/3) 2)) (cbrt.f64 (+.f64 x 4/3)))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 x 4/3) 2)) (*.f64 (cbrt.f64 (+.f64 x 4/3)) 1))
(*.f64 (sqrt.f64 (+.f64 x 4/3)) (sqrt.f64 (+.f64 x 4/3)))
(*.f64 (sqrt.f64 (+.f64 x 4/3)) (*.f64 (sqrt.f64 (+.f64 x 4/3)) 1))
(*.f64 (+.f64 1 (pow.f64 (+.f64 x 1/3) 3)) (/.f64 1 (+.f64 1 (*.f64 (+.f64 x 1/3) (+.f64 x -2/3)))))
(*.f64 (-.f64 1 (pow.f64 (+.f64 x 1/3) 2)) (/.f64 1 (-.f64 2/3 x)))
(/.f64 1 (/.f64 (+.f64 1 (*.f64 (+.f64 x 1/3) (+.f64 x -2/3))) (+.f64 1 (pow.f64 (+.f64 x 1/3) 3))))
(/.f64 1 (/.f64 (-.f64 2/3 x) (-.f64 1 (pow.f64 (+.f64 x 1/3) 2))))
(/.f64 (+.f64 1 (pow.f64 (+.f64 x 1/3) 3)) (+.f64 1 (*.f64 (+.f64 x 1/3) (+.f64 x -2/3))))
(/.f64 (+.f64 1 (pow.f64 (+.f64 x 1/3) 3)) (+.f64 (pow.f64 (+.f64 x 1/3) 2) (-.f64 2/3 x)))
(/.f64 (-.f64 1 (pow.f64 (+.f64 x 1/3) 2)) (-.f64 2/3 x))
(/.f64 (neg.f64 (+.f64 1 (pow.f64 (+.f64 x 1/3) 3))) (neg.f64 (+.f64 1 (*.f64 (+.f64 x 1/3) (+.f64 x -2/3)))))
(/.f64 (neg.f64 (-.f64 1 (pow.f64 (+.f64 x 1/3) 2))) (neg.f64 (-.f64 2/3 x)))
(/.f64 (+.f64 (pow.f64 (+.f64 1 x) 3) 1/27) (+.f64 (*.f64 (+.f64 1 x) (+.f64 1 x)) (-.f64 1/9 (*.f64 (+.f64 1 x) 1/3))))
(/.f64 (-.f64 (pow.f64 (+.f64 x 1/3) 2) 1) (+.f64 x -2/3))
(/.f64 (-.f64 (*.f64 (+.f64 1 x) (+.f64 1 x)) 1/9) (-.f64 (+.f64 1 x) 1/3))
(/.f64 (*.f64 (+.f64 1 (pow.f64 (+.f64 x 1/3) 3)) 1) (+.f64 1 (*.f64 (+.f64 x 1/3) (+.f64 x -2/3))))
(/.f64 (*.f64 (-.f64 1 (pow.f64 (+.f64 x 1/3) 2)) 1) (-.f64 2/3 x))
(pow.f64 (+.f64 x 4/3) 1)
(pow.f64 (cbrt.f64 (+.f64 x 4/3)) 3)
(pow.f64 (pow.f64 (+.f64 x 4/3) 3) 1/3)
(pow.f64 (sqrt.f64 (+.f64 x 4/3)) 2)
(sqrt.f64 (pow.f64 (+.f64 x 4/3) 2))
(log.f64 (exp.f64 (+.f64 x 4/3)))
(cbrt.f64 (pow.f64 (+.f64 x 4/3) 3))
(expm1.f64 (log1p.f64 (+.f64 x 4/3)))
(exp.f64 (log1p.f64 (+.f64 x 1/3)))
(exp.f64 (*.f64 (log1p.f64 (+.f64 x 1/3)) 1))
(log1p.f64 (expm1.f64 (+.f64 x 4/3)))
(fma.f64 1 (+.f64 x 1/3) 1)
(fma.f64 (cbrt.f64 (pow.f64 (+.f64 x 1/3) 2)) (cbrt.f64 (+.f64 x 1/3)) 1)
(fma.f64 (sqrt.f64 (+.f64 x 1/3)) (sqrt.f64 (+.f64 x 1/3)) 1)

simplify65.0ms (2.8%)

Algorithm
1×egg-herbie
Rules
1164×times-frac
762×cancel-sign-sub-inv
636×associate--r+
596×unswap-sqr
494×associate-/l*
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
02092249
15112061
221292041
Stop Event
1×node limit
Counts
115 → 122
Calls
Call 1
Inputs
1/3
(+.f64 1/3 x)
(+.f64 1/3 x)
(+.f64 1/3 x)
x
(+.f64 1/3 x)
(+.f64 1/3 x)
(+.f64 1/3 x)
x
(+.f64 1/3 x)
(+.f64 1/3 x)
(+.f64 1/3 x)
4/3
(+.f64 4/3 x)
(+.f64 4/3 x)
(+.f64 4/3 x)
x
(+.f64 4/3 x)
(+.f64 4/3 x)
(+.f64 4/3 x)
x
(+.f64 4/3 x)
(+.f64 4/3 x)
(+.f64 4/3 x)
(+.f64 1 (+.f64 x -2/3))
(+.f64 1 (*.f64 (+.f64 x -2/3) 1))
(+.f64 x 1/3)
(+.f64 1/3 x)
(+.f64 (+.f64 x 1/3) 0)
(+.f64 (+.f64 x 4/3) -1)
(+.f64 -1 (+.f64 x 4/3))
(+.f64 (+.f64 1 x) -2/3)
(+.f64 (+.f64 x -2/3) 1)
(*.f64 1 (+.f64 x 1/3))
(*.f64 (+.f64 x 1/3) 1)
(*.f64 (cbrt.f64 (+.f64 x 1/3)) (cbrt.f64 (pow.f64 (+.f64 x 1/3) 2)))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 x 1/3) 2)) (cbrt.f64 (+.f64 x 1/3)))
(*.f64 (sqrt.f64 (+.f64 x 1/3)) (sqrt.f64 (+.f64 x 1/3)))
(*.f64 (+.f64 1/27 (pow.f64 x 3)) (/.f64 1 (fma.f64 x x (-.f64 1/9 (*.f64 x 1/3)))))
(*.f64 (+.f64 (pow.f64 (+.f64 x 4/3) 3) -1) (/.f64 1 (+.f64 (pow.f64 (+.f64 x 4/3) 2) (+.f64 (+.f64 x 1/3) 2))))
(*.f64 (fma.f64 x x -1/9) (/.f64 1 (+.f64 x -1/3)))
(*.f64 (+.f64 (pow.f64 (+.f64 x 4/3) 2) -1) (/.f64 1 (+.f64 (+.f64 x 1/3) 2)))
(*.f64 (+.f64 (sqrt.f64 (+.f64 x 4/3)) 1) (-.f64 (sqrt.f64 (+.f64 x 4/3)) 1))
(/.f64 1 (/.f64 (fma.f64 x x (-.f64 1/9 (*.f64 x 1/3))) (+.f64 1/27 (pow.f64 x 3))))
(/.f64 1 (/.f64 (+.f64 x -1/3) (fma.f64 x x -1/9)))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (+.f64 x 4/3) 2) (+.f64 (+.f64 x 1/3) 2)) (+.f64 (pow.f64 (+.f64 x 4/3) 3) -1)))
(/.f64 1 (/.f64 (+.f64 (+.f64 x 1/3) 2) (+.f64 (pow.f64 (+.f64 x 4/3) 2) -1)))
(/.f64 (+.f64 1/27 (pow.f64 x 3)) (fma.f64 x x (-.f64 1/9 (*.f64 x 1/3))))
(/.f64 (+.f64 1/27 (pow.f64 x 3)) (+.f64 1/9 (-.f64 (*.f64 x x) (*.f64 x 1/3))))
(/.f64 (+.f64 (pow.f64 (+.f64 x 4/3) 3) -1) (+.f64 (pow.f64 (+.f64 x 4/3) 2) (+.f64 (+.f64 x 1/3) 2)))
(/.f64 (+.f64 (pow.f64 (+.f64 x 4/3) 3) -1) (+.f64 (pow.f64 (+.f64 x 4/3) 2) (-.f64 1 (*.f64 (+.f64 x 4/3) -1))))
(/.f64 (fma.f64 x x -1/9) (+.f64 x -1/3))
(/.f64 (+.f64 (pow.f64 (+.f64 x 4/3) 2) -1) (+.f64 (+.f64 x 1/3) 2))
(/.f64 (+.f64 (pow.f64 (+.f64 x 4/3) 2) -1) (-.f64 (+.f64 x 4/3) -1))
(/.f64 (neg.f64 (+.f64 1/27 (pow.f64 x 3))) (neg.f64 (fma.f64 x x (-.f64 1/9 (*.f64 x 1/3)))))
(/.f64 (neg.f64 (fma.f64 x x -1/9)) (neg.f64 (+.f64 x -1/3)))
(/.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 x 4/3) 3) -1)) (neg.f64 (+.f64 (pow.f64 (+.f64 x 4/3) 2) (+.f64 (+.f64 x 1/3) 2))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 x 4/3) 2) -1)) (neg.f64 (+.f64 (+.f64 x 1/3) 2)))
(/.f64 (+.f64 1 (pow.f64 (+.f64 x -2/3) 3)) (+.f64 1 (-.f64 (*.f64 (+.f64 x -2/3) (+.f64 x -2/3)) (+.f64 x -2/3))))
(/.f64 (-.f64 1 (*.f64 (+.f64 x -2/3) (+.f64 x -2/3))) (-.f64 1 (+.f64 x -2/3)))
(/.f64 (-.f64 1/9 (*.f64 x x)) (-.f64 1/3 x))
(pow.f64 (+.f64 x 1/3) 1)
(pow.f64 (cbrt.f64 (+.f64 x 1/3)) 3)
(pow.f64 (pow.f64 (+.f64 x 1/3) 3) 1/3)
(pow.f64 (sqrt.f64 (+.f64 x 1/3)) 2)
(sqrt.f64 (pow.f64 (+.f64 x 1/3) 2))
(log.f64 (exp.f64 (+.f64 x 1/3)))
(cbrt.f64 (pow.f64 (+.f64 x 1/3) 3))
(expm1.f64 (log1p.f64 (+.f64 x 1/3)))
(exp.f64 (log.f64 (+.f64 x 1/3)))
(exp.f64 (*.f64 (log.f64 (+.f64 x 1/3)) 1))
(log1p.f64 (expm1.f64 (+.f64 x 1/3)))
(fma.f64 1 x 1/3)
(fma.f64 1 (+.f64 x 4/3) -1)
(fma.f64 (cbrt.f64 (pow.f64 (+.f64 x 4/3) 2)) (cbrt.f64 (+.f64 x 4/3)) -1)
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) 1/3)
(fma.f64 (sqrt.f64 (+.f64 x 4/3)) (sqrt.f64 (+.f64 x 4/3)) -1)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) 1/3)
(-.f64 (+.f64 (+.f64 x 1/3) 2) 1)
(-.f64 (/.f64 1 (-.f64 2/3 x)) (/.f64 (pow.f64 (+.f64 x 1/3) 2) (-.f64 2/3 x)))
(*.f64 1 (+.f64 x 4/3))
(*.f64 (+.f64 x 4/3) 1)
(*.f64 (cbrt.f64 (+.f64 x 4/3)) (cbrt.f64 (pow.f64 (+.f64 x 4/3) 2)))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 x 4/3) 2)) (cbrt.f64 (+.f64 x 4/3)))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 x 4/3) 2)) (*.f64 (cbrt.f64 (+.f64 x 4/3)) 1))
(*.f64 (sqrt.f64 (+.f64 x 4/3)) (sqrt.f64 (+.f64 x 4/3)))
(*.f64 (sqrt.f64 (+.f64 x 4/3)) (*.f64 (sqrt.f64 (+.f64 x 4/3)) 1))
(*.f64 (+.f64 1 (pow.f64 (+.f64 x 1/3) 3)) (/.f64 1 (+.f64 1 (*.f64 (+.f64 x 1/3) (+.f64 x -2/3)))))
(*.f64 (-.f64 1 (pow.f64 (+.f64 x 1/3) 2)) (/.f64 1 (-.f64 2/3 x)))
(/.f64 1 (/.f64 (+.f64 1 (*.f64 (+.f64 x 1/3) (+.f64 x -2/3))) (+.f64 1 (pow.f64 (+.f64 x 1/3) 3))))
(/.f64 1 (/.f64 (-.f64 2/3 x) (-.f64 1 (pow.f64 (+.f64 x 1/3) 2))))
(/.f64 (+.f64 1 (pow.f64 (+.f64 x 1/3) 3)) (+.f64 1 (*.f64 (+.f64 x 1/3) (+.f64 x -2/3))))
(/.f64 (+.f64 1 (pow.f64 (+.f64 x 1/3) 3)) (+.f64 (pow.f64 (+.f64 x 1/3) 2) (-.f64 2/3 x)))
(/.f64 (-.f64 1 (pow.f64 (+.f64 x 1/3) 2)) (-.f64 2/3 x))
(/.f64 (neg.f64 (+.f64 1 (pow.f64 (+.f64 x 1/3) 3))) (neg.f64 (+.f64 1 (*.f64 (+.f64 x 1/3) (+.f64 x -2/3)))))
(/.f64 (neg.f64 (-.f64 1 (pow.f64 (+.f64 x 1/3) 2))) (neg.f64 (-.f64 2/3 x)))
(/.f64 (+.f64 (pow.f64 (+.f64 1 x) 3) 1/27) (+.f64 (*.f64 (+.f64 1 x) (+.f64 1 x)) (-.f64 1/9 (*.f64 (+.f64 1 x) 1/3))))
(/.f64 (-.f64 (pow.f64 (+.f64 x 1/3) 2) 1) (+.f64 x -2/3))
(/.f64 (-.f64 (*.f64 (+.f64 1 x) (+.f64 1 x)) 1/9) (-.f64 (+.f64 1 x) 1/3))
(/.f64 (*.f64 (+.f64 1 (pow.f64 (+.f64 x 1/3) 3)) 1) (+.f64 1 (*.f64 (+.f64 x 1/3) (+.f64 x -2/3))))
(/.f64 (*.f64 (-.f64 1 (pow.f64 (+.f64 x 1/3) 2)) 1) (-.f64 2/3 x))
(pow.f64 (+.f64 x 4/3) 1)
(pow.f64 (cbrt.f64 (+.f64 x 4/3)) 3)
(pow.f64 (pow.f64 (+.f64 x 4/3) 3) 1/3)
(pow.f64 (sqrt.f64 (+.f64 x 4/3)) 2)
(sqrt.f64 (pow.f64 (+.f64 x 4/3) 2))
(log.f64 (exp.f64 (+.f64 x 4/3)))
(cbrt.f64 (pow.f64 (+.f64 x 4/3) 3))
(expm1.f64 (log1p.f64 (+.f64 x 4/3)))
(exp.f64 (log1p.f64 (+.f64 x 1/3)))
(exp.f64 (*.f64 (log1p.f64 (+.f64 x 1/3)) 1))
(log1p.f64 (expm1.f64 (+.f64 x 4/3)))
(fma.f64 1 (+.f64 x 1/3) 1)
(fma.f64 (cbrt.f64 (pow.f64 (+.f64 x 1/3) 2)) (cbrt.f64 (+.f64 x 1/3)) 1)
(fma.f64 (sqrt.f64 (+.f64 x 1/3)) (sqrt.f64 (+.f64 x 1/3)) 1)
Outputs
1/3
(+.f64 1/3 x)
(+.f64 1/3 x)
(+.f64 1/3 x)
x
(+.f64 1/3 x)
(+.f64 1/3 x)
(+.f64 1/3 x)
x
(+.f64 1/3 x)
(+.f64 1/3 x)
(+.f64 1/3 x)
4/3
(+.f64 4/3 x)
(+.f64 x 4/3)
(+.f64 4/3 x)
(+.f64 x 4/3)
(+.f64 4/3 x)
(+.f64 x 4/3)
x
(+.f64 4/3 x)
(+.f64 x 4/3)
(+.f64 4/3 x)
(+.f64 x 4/3)
(+.f64 4/3 x)
(+.f64 x 4/3)
x
(+.f64 4/3 x)
(+.f64 x 4/3)
(+.f64 4/3 x)
(+.f64 x 4/3)
(+.f64 4/3 x)
(+.f64 x 4/3)
(+.f64 1 (+.f64 x -2/3))
(+.f64 1/3 x)
(+.f64 1 (*.f64 (+.f64 x -2/3) 1))
(+.f64 1/3 x)
(+.f64 x 1/3)
(+.f64 1/3 x)
(+.f64 1/3 x)
(+.f64 (+.f64 x 1/3) 0)
(+.f64 1/3 x)
(+.f64 (+.f64 x 4/3) -1)
(+.f64 1/3 x)
(+.f64 -1 (+.f64 x 4/3))
(+.f64 1/3 x)
(+.f64 (+.f64 1 x) -2/3)
(+.f64 1/3 x)
(+.f64 (+.f64 x -2/3) 1)
(+.f64 1/3 x)
(*.f64 1 (+.f64 x 1/3))
(+.f64 1/3 x)
(*.f64 (+.f64 x 1/3) 1)
(+.f64 1/3 x)
(*.f64 (cbrt.f64 (+.f64 x 1/3)) (cbrt.f64 (pow.f64 (+.f64 x 1/3) 2)))
(*.f64 (cbrt.f64 (+.f64 1/3 x)) (cbrt.f64 (pow.f64 (+.f64 1/3 x) 2)))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 x 1/3) 2)) (cbrt.f64 (+.f64 x 1/3)))
(*.f64 (cbrt.f64 (+.f64 1/3 x)) (cbrt.f64 (pow.f64 (+.f64 1/3 x) 2)))
(*.f64 (sqrt.f64 (+.f64 x 1/3)) (sqrt.f64 (+.f64 x 1/3)))
(+.f64 1/3 x)
(*.f64 (+.f64 1/27 (pow.f64 x 3)) (/.f64 1 (fma.f64 x x (-.f64 1/9 (*.f64 x 1/3)))))
(*.f64 (+.f64 1/27 (pow.f64 x 3)) (/.f64 1 (fma.f64 x x (-.f64 1/9 (*.f64 1/3 x)))))
(/.f64 (+.f64 1/27 (pow.f64 x 3)) (fma.f64 x (+.f64 x -1/3) 1/9))
(*.f64 (+.f64 (pow.f64 (+.f64 x 4/3) 3) -1) (/.f64 1 (+.f64 (pow.f64 (+.f64 x 4/3) 2) (+.f64 (+.f64 x 1/3) 2))))
(*.f64 (+.f64 -1 (pow.f64 (+.f64 x 4/3) 3)) (/.f64 1 (+.f64 (pow.f64 (+.f64 x 4/3) 2) (+.f64 x 7/3))))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 x 4/3) 3)) (+.f64 x (+.f64 7/3 (pow.f64 (+.f64 x 4/3) 2))))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 x 4/3) 3)) (+.f64 (pow.f64 (+.f64 x 4/3) 2) (+.f64 x 7/3)))
(*.f64 (fma.f64 x x -1/9) (/.f64 1 (+.f64 x -1/3)))
(/.f64 (fma.f64 x x -1/9) (+.f64 x -1/3))
(*.f64 (+.f64 (pow.f64 (+.f64 x 4/3) 2) -1) (/.f64 1 (+.f64 (+.f64 x 1/3) 2)))
(*.f64 (+.f64 -1 (pow.f64 (+.f64 x 4/3) 2)) (/.f64 1 (+.f64 x 7/3)))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 x 4/3) 2)) (+.f64 x 7/3))
(*.f64 (/.f64 (+.f64 x 7/3) (+.f64 x 7/3)) (+.f64 1/3 x))
(*.f64 (+.f64 (sqrt.f64 (+.f64 x 4/3)) 1) (-.f64 (sqrt.f64 (+.f64 x 4/3)) 1))
(+.f64 1/3 x)
(/.f64 1 (/.f64 (fma.f64 x x (-.f64 1/9 (*.f64 x 1/3))) (+.f64 1/27 (pow.f64 x 3))))
(*.f64 (+.f64 1/27 (pow.f64 x 3)) (/.f64 1 (fma.f64 x x (-.f64 1/9 (*.f64 1/3 x)))))
(/.f64 (+.f64 1/27 (pow.f64 x 3)) (fma.f64 x (+.f64 x -1/3) 1/9))
(/.f64 1 (/.f64 (+.f64 x -1/3) (fma.f64 x x -1/9)))
(*.f64 (fma.f64 x x -1/9) (/.f64 1 (+.f64 x -1/3)))
(/.f64 (fma.f64 x x -1/9) (+.f64 x -1/3))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (+.f64 x 4/3) 2) (+.f64 (+.f64 x 1/3) 2)) (+.f64 (pow.f64 (+.f64 x 4/3) 3) -1)))
(*.f64 (+.f64 -1 (pow.f64 (+.f64 x 4/3) 3)) (/.f64 1 (+.f64 (pow.f64 (+.f64 x 4/3) 2) (+.f64 x 7/3))))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 x 4/3) 3)) (+.f64 x (+.f64 7/3 (pow.f64 (+.f64 x 4/3) 2))))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 x 4/3) 3)) (+.f64 (pow.f64 (+.f64 x 4/3) 2) (+.f64 x 7/3)))
(/.f64 1 (/.f64 (+.f64 (+.f64 x 1/3) 2) (+.f64 (pow.f64 (+.f64 x 4/3) 2) -1)))
(*.f64 (+.f64 -1 (pow.f64 (+.f64 x 4/3) 2)) (/.f64 1 (+.f64 x 7/3)))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 x 4/3) 2)) (+.f64 x 7/3))
(*.f64 (/.f64 (+.f64 x 7/3) (+.f64 x 7/3)) (+.f64 1/3 x))
(/.f64 (+.f64 1/27 (pow.f64 x 3)) (fma.f64 x x (-.f64 1/9 (*.f64 x 1/3))))
(*.f64 (+.f64 1/27 (pow.f64 x 3)) (/.f64 1 (fma.f64 x x (-.f64 1/9 (*.f64 1/3 x)))))
(/.f64 (+.f64 1/27 (pow.f64 x 3)) (fma.f64 x (+.f64 x -1/3) 1/9))
(/.f64 (+.f64 1/27 (pow.f64 x 3)) (+.f64 1/9 (-.f64 (*.f64 x x) (*.f64 x 1/3))))
(*.f64 (+.f64 1/27 (pow.f64 x 3)) (/.f64 1 (fma.f64 x x (-.f64 1/9 (*.f64 1/3 x)))))
(/.f64 (+.f64 1/27 (pow.f64 x 3)) (fma.f64 x (+.f64 x -1/3) 1/9))
(/.f64 (+.f64 (pow.f64 (+.f64 x 4/3) 3) -1) (+.f64 (pow.f64 (+.f64 x 4/3) 2) (+.f64 (+.f64 x 1/3) 2)))
(*.f64 (+.f64 -1 (pow.f64 (+.f64 x 4/3) 3)) (/.f64 1 (+.f64 (pow.f64 (+.f64 x 4/3) 2) (+.f64 x 7/3))))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 x 4/3) 3)) (+.f64 x (+.f64 7/3 (pow.f64 (+.f64 x 4/3) 2))))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 x 4/3) 3)) (+.f64 (pow.f64 (+.f64 x 4/3) 2) (+.f64 x 7/3)))
(/.f64 (+.f64 (pow.f64 (+.f64 x 4/3) 3) -1) (+.f64 (pow.f64 (+.f64 x 4/3) 2) (-.f64 1 (*.f64 (+.f64 x 4/3) -1))))
(*.f64 (+.f64 -1 (pow.f64 (+.f64 x 4/3) 3)) (/.f64 1 (+.f64 (pow.f64 (+.f64 x 4/3) 2) (+.f64 x 7/3))))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 x 4/3) 3)) (+.f64 x (+.f64 7/3 (pow.f64 (+.f64 x 4/3) 2))))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 x 4/3) 3)) (+.f64 (pow.f64 (+.f64 x 4/3) 2) (+.f64 x 7/3)))
(/.f64 (fma.f64 x x -1/9) (+.f64 x -1/3))
(*.f64 (fma.f64 x x -1/9) (/.f64 1 (+.f64 x -1/3)))
(/.f64 (+.f64 (pow.f64 (+.f64 x 4/3) 2) -1) (+.f64 (+.f64 x 1/3) 2))
(*.f64 (+.f64 -1 (pow.f64 (+.f64 x 4/3) 2)) (/.f64 1 (+.f64 x 7/3)))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 x 4/3) 2)) (+.f64 x 7/3))
(*.f64 (/.f64 (+.f64 x 7/3) (+.f64 x 7/3)) (+.f64 1/3 x))
(/.f64 (+.f64 (pow.f64 (+.f64 x 4/3) 2) -1) (-.f64 (+.f64 x 4/3) -1))
(*.f64 (+.f64 -1 (pow.f64 (+.f64 x 4/3) 2)) (/.f64 1 (+.f64 x 7/3)))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 x 4/3) 2)) (+.f64 x 7/3))
(*.f64 (/.f64 (+.f64 x 7/3) (+.f64 x 7/3)) (+.f64 1/3 x))
(/.f64 (neg.f64 (+.f64 1/27 (pow.f64 x 3))) (neg.f64 (fma.f64 x x (-.f64 1/9 (*.f64 x 1/3)))))
(*.f64 (+.f64 1/27 (pow.f64 x 3)) (/.f64 1 (fma.f64 x x (-.f64 1/9 (*.f64 1/3 x)))))
(/.f64 (+.f64 1/27 (pow.f64 x 3)) (fma.f64 x (+.f64 x -1/3) 1/9))
(/.f64 (neg.f64 (fma.f64 x x -1/9)) (neg.f64 (+.f64 x -1/3)))
(*.f64 (fma.f64 x x -1/9) (/.f64 1 (+.f64 x -1/3)))
(/.f64 (fma.f64 x x -1/9) (+.f64 x -1/3))
(/.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 x 4/3) 3) -1)) (neg.f64 (+.f64 (pow.f64 (+.f64 x 4/3) 2) (+.f64 (+.f64 x 1/3) 2))))
(*.f64 (+.f64 -1 (pow.f64 (+.f64 x 4/3) 3)) (/.f64 1 (+.f64 (pow.f64 (+.f64 x 4/3) 2) (+.f64 x 7/3))))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 x 4/3) 3)) (+.f64 x (+.f64 7/3 (pow.f64 (+.f64 x 4/3) 2))))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 x 4/3) 3)) (+.f64 (pow.f64 (+.f64 x 4/3) 2) (+.f64 x 7/3)))
(/.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 x 4/3) 2) -1)) (neg.f64 (+.f64 (+.f64 x 1/3) 2)))
(*.f64 (+.f64 -1 (pow.f64 (+.f64 x 4/3) 2)) (/.f64 1 (+.f64 x 7/3)))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 x 4/3) 2)) (+.f64 x 7/3))
(*.f64 (/.f64 (+.f64 x 7/3) (+.f64 x 7/3)) (+.f64 1/3 x))
(/.f64 (+.f64 1 (pow.f64 (+.f64 x -2/3) 3)) (+.f64 1 (-.f64 (*.f64 (+.f64 x -2/3) (+.f64 x -2/3)) (+.f64 x -2/3))))
(/.f64 (+.f64 1 (pow.f64 (+.f64 x -2/3) 3)) (+.f64 (*.f64 (+.f64 x -2/3) (+.f64 x -2/3)) (-.f64 5/3 x)))
(/.f64 (+.f64 1 (pow.f64 (+.f64 x -2/3) 3)) (+.f64 1 (*.f64 (+.f64 x -2/3) (+.f64 x -5/3))))
(/.f64 (-.f64 1 (*.f64 (+.f64 x -2/3) (+.f64 x -2/3))) (-.f64 1 (+.f64 x -2/3)))
(/.f64 (-.f64 1 (*.f64 (+.f64 x -2/3) (+.f64 x -2/3))) (-.f64 5/3 x))
(/.f64 (-.f64 1 (*.f64 (-.f64 2/3 x) (-.f64 2/3 x))) (-.f64 5/3 x))
(/.f64 (-.f64 1/9 (*.f64 x x)) (-.f64 1/3 x))
(*.f64 (fma.f64 x x -1/9) (/.f64 1 (+.f64 x -1/3)))
(/.f64 (fma.f64 x x -1/9) (+.f64 x -1/3))
(pow.f64 (+.f64 x 1/3) 1)
(+.f64 1/3 x)
(pow.f64 (cbrt.f64 (+.f64 x 1/3)) 3)
(+.f64 1/3 x)
(pow.f64 (pow.f64 (+.f64 x 1/3) 3) 1/3)
(+.f64 1/3 x)
(pow.f64 (sqrt.f64 (+.f64 x 1/3)) 2)
(+.f64 1/3 x)
(sqrt.f64 (pow.f64 (+.f64 x 1/3) 2))
(+.f64 1/3 x)
(log.f64 (exp.f64 (+.f64 x 1/3)))
(+.f64 1/3 x)
(cbrt.f64 (pow.f64 (+.f64 x 1/3) 3))
(+.f64 1/3 x)
(expm1.f64 (log1p.f64 (+.f64 x 1/3)))
(+.f64 1/3 x)
(exp.f64 (log.f64 (+.f64 x 1/3)))
(+.f64 1/3 x)
(exp.f64 (*.f64 (log.f64 (+.f64 x 1/3)) 1))
(+.f64 1/3 x)
(log1p.f64 (expm1.f64 (+.f64 x 1/3)))
(+.f64 1/3 x)
(fma.f64 1 x 1/3)
(+.f64 1/3 x)
(fma.f64 1 (+.f64 x 4/3) -1)
(+.f64 1/3 x)
(fma.f64 (cbrt.f64 (pow.f64 (+.f64 x 4/3) 2)) (cbrt.f64 (+.f64 x 4/3)) -1)
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) 1/3)
(+.f64 1/3 x)
(fma.f64 (sqrt.f64 (+.f64 x 4/3)) (sqrt.f64 (+.f64 x 4/3)) -1)
(+.f64 1/3 x)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) 1/3)
(+.f64 1/3 x)
(-.f64 (+.f64 (+.f64 x 1/3) 2) 1)
(+.f64 x 4/3)
(-.f64 (/.f64 1 (-.f64 2/3 x)) (/.f64 (pow.f64 (+.f64 x 1/3) 2) (-.f64 2/3 x)))
(/.f64 (-.f64 1 (pow.f64 (+.f64 1/3 x) 2)) (-.f64 2/3 x))
(*.f64 (/.f64 (+.f64 x 4/3) (+.f64 x -2/3)) (+.f64 x -2/3))
(*.f64 1 (+.f64 x 4/3))
(+.f64 x 4/3)
(*.f64 (+.f64 x 4/3) 1)
(+.f64 x 4/3)
(*.f64 (cbrt.f64 (+.f64 x 4/3)) (cbrt.f64 (pow.f64 (+.f64 x 4/3) 2)))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 x 4/3) 2)) (cbrt.f64 (+.f64 x 4/3)))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 x 4/3) 2)) (cbrt.f64 (+.f64 x 4/3)))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 x 4/3) 2)) (*.f64 (cbrt.f64 (+.f64 x 4/3)) 1))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 x 4/3) 2)) (cbrt.f64 (+.f64 x 4/3)))
(*.f64 (sqrt.f64 (+.f64 x 4/3)) (sqrt.f64 (+.f64 x 4/3)))
(+.f64 x 4/3)
(*.f64 (sqrt.f64 (+.f64 x 4/3)) (*.f64 (sqrt.f64 (+.f64 x 4/3)) 1))
(+.f64 x 4/3)
(*.f64 (+.f64 1 (pow.f64 (+.f64 x 1/3) 3)) (/.f64 1 (+.f64 1 (*.f64 (+.f64 x 1/3) (+.f64 x -2/3)))))
(/.f64 (+.f64 1 (pow.f64 (+.f64 1/3 x) 3)) (+.f64 1 (*.f64 (+.f64 x -2/3) (+.f64 1/3 x))))
(/.f64 (+.f64 1 (pow.f64 (+.f64 1/3 x) 3)) (fma.f64 (+.f64 x -2/3) (+.f64 1/3 x) 1))
(*.f64 (-.f64 1 (pow.f64 (+.f64 x 1/3) 2)) (/.f64 1 (-.f64 2/3 x)))
(/.f64 (-.f64 1 (pow.f64 (+.f64 1/3 x) 2)) (-.f64 2/3 x))
(*.f64 (/.f64 (+.f64 x 4/3) (+.f64 x -2/3)) (+.f64 x -2/3))
(/.f64 1 (/.f64 (+.f64 1 (*.f64 (+.f64 x 1/3) (+.f64 x -2/3))) (+.f64 1 (pow.f64 (+.f64 x 1/3) 3))))
(/.f64 (+.f64 1 (pow.f64 (+.f64 1/3 x) 3)) (+.f64 1 (*.f64 (+.f64 x -2/3) (+.f64 1/3 x))))
(/.f64 (+.f64 1 (pow.f64 (+.f64 1/3 x) 3)) (fma.f64 (+.f64 x -2/3) (+.f64 1/3 x) 1))
(/.f64 1 (/.f64 (-.f64 2/3 x) (-.f64 1 (pow.f64 (+.f64 x 1/3) 2))))
(/.f64 (-.f64 1 (pow.f64 (+.f64 1/3 x) 2)) (-.f64 2/3 x))
(*.f64 (/.f64 (+.f64 x 4/3) (+.f64 x -2/3)) (+.f64 x -2/3))
(/.f64 (+.f64 1 (pow.f64 (+.f64 x 1/3) 3)) (+.f64 1 (*.f64 (+.f64 x 1/3) (+.f64 x -2/3))))
(/.f64 (+.f64 1 (pow.f64 (+.f64 1/3 x) 3)) (+.f64 1 (*.f64 (+.f64 x -2/3) (+.f64 1/3 x))))
(/.f64 (+.f64 1 (pow.f64 (+.f64 1/3 x) 3)) (fma.f64 (+.f64 x -2/3) (+.f64 1/3 x) 1))
(/.f64 (+.f64 1 (pow.f64 (+.f64 x 1/3) 3)) (+.f64 (pow.f64 (+.f64 x 1/3) 2) (-.f64 2/3 x)))
(/.f64 (+.f64 1 (pow.f64 (+.f64 1/3 x) 3)) (+.f64 (pow.f64 (+.f64 1/3 x) 2) (-.f64 2/3 x)))
(/.f64 (-.f64 1 (pow.f64 (+.f64 x 1/3) 2)) (-.f64 2/3 x))
(/.f64 (-.f64 1 (pow.f64 (+.f64 1/3 x) 2)) (-.f64 2/3 x))
(*.f64 (/.f64 (+.f64 x 4/3) (+.f64 x -2/3)) (+.f64 x -2/3))
(/.f64 (neg.f64 (+.f64 1 (pow.f64 (+.f64 x 1/3) 3))) (neg.f64 (+.f64 1 (*.f64 (+.f64 x 1/3) (+.f64 x -2/3)))))
(/.f64 (+.f64 1 (pow.f64 (+.f64 1/3 x) 3)) (+.f64 1 (*.f64 (+.f64 x -2/3) (+.f64 1/3 x))))
(/.f64 (+.f64 1 (pow.f64 (+.f64 1/3 x) 3)) (fma.f64 (+.f64 x -2/3) (+.f64 1/3 x) 1))
(/.f64 (neg.f64 (-.f64 1 (pow.f64 (+.f64 x 1/3) 2))) (neg.f64 (-.f64 2/3 x)))
(/.f64 (-.f64 1 (pow.f64 (+.f64 1/3 x) 2)) (-.f64 2/3 x))
(*.f64 (/.f64 (+.f64 x 4/3) (+.f64 x -2/3)) (+.f64 x -2/3))
(/.f64 (+.f64 (pow.f64 (+.f64 1 x) 3) 1/27) (+.f64 (*.f64 (+.f64 1 x) (+.f64 1 x)) (-.f64 1/9 (*.f64 (+.f64 1 x) 1/3))))
(/.f64 (+.f64 1/27 (pow.f64 (+.f64 x 1) 3)) (fma.f64 (+.f64 x 1) (+.f64 x 1) (-.f64 1/9 (*.f64 1/3 (+.f64 x 1)))))
(/.f64 (+.f64 1/27 (pow.f64 (+.f64 x 1) 3)) (+.f64 (fma.f64 (+.f64 x 1) (+.f64 x 1) 1/9) (*.f64 (+.f64 x 1) -1/3)))
(/.f64 (+.f64 1/27 (pow.f64 (+.f64 x 1) 3)) (+.f64 1/9 (*.f64 (+.f64 x 1) (+.f64 x 2/3))))
(/.f64 (-.f64 (pow.f64 (+.f64 x 1/3) 2) 1) (+.f64 x -2/3))
(/.f64 (-.f64 1 (pow.f64 (+.f64 1/3 x) 2)) (-.f64 2/3 x))
(*.f64 (/.f64 (+.f64 x 4/3) (+.f64 x -2/3)) (+.f64 x -2/3))
(/.f64 (-.f64 (*.f64 (+.f64 1 x) (+.f64 1 x)) 1/9) (-.f64 (+.f64 1 x) 1/3))
(/.f64 (fma.f64 (+.f64 x 1) (+.f64 x 1) -1/9) (+.f64 1 (-.f64 x 1/3)))
(/.f64 (fma.f64 (+.f64 x 1) (+.f64 x 1) -1/9) (+.f64 x 2/3))
(/.f64 (*.f64 (+.f64 1 (pow.f64 (+.f64 x 1/3) 3)) 1) (+.f64 1 (*.f64 (+.f64 x 1/3) (+.f64 x -2/3))))
(/.f64 (+.f64 1 (pow.f64 (+.f64 1/3 x) 3)) (+.f64 1 (*.f64 (+.f64 x -2/3) (+.f64 1/3 x))))
(/.f64 (+.f64 1 (pow.f64 (+.f64 1/3 x) 3)) (fma.f64 (+.f64 x -2/3) (+.f64 1/3 x) 1))
(/.f64 (*.f64 (-.f64 1 (pow.f64 (+.f64 x 1/3) 2)) 1) (-.f64 2/3 x))
(/.f64 (-.f64 1 (pow.f64 (+.f64 1/3 x) 2)) (-.f64 2/3 x))
(*.f64 (/.f64 (+.f64 x 4/3) (+.f64 x -2/3)) (+.f64 x -2/3))
(pow.f64 (+.f64 x 4/3) 1)
(+.f64 x 4/3)
(pow.f64 (cbrt.f64 (+.f64 x 4/3)) 3)
(+.f64 x 4/3)
(pow.f64 (pow.f64 (+.f64 x 4/3) 3) 1/3)
(+.f64 x 4/3)
(pow.f64 (sqrt.f64 (+.f64 x 4/3)) 2)
(+.f64 x 4/3)
(sqrt.f64 (pow.f64 (+.f64 x 4/3) 2))
(+.f64 x 4/3)
(log.f64 (exp.f64 (+.f64 x 4/3)))
(+.f64 x 4/3)
(cbrt.f64 (pow.f64 (+.f64 x 4/3) 3))
(+.f64 x 4/3)
(expm1.f64 (log1p.f64 (+.f64 x 4/3)))
(+.f64 x 4/3)
(exp.f64 (log1p.f64 (+.f64 x 1/3)))
(exp.f64 (log1p.f64 (+.f64 1/3 x)))
(exp.f64 (*.f64 (log1p.f64 (+.f64 x 1/3)) 1))
(exp.f64 (log1p.f64 (+.f64 1/3 x)))
(log1p.f64 (expm1.f64 (+.f64 x 4/3)))
(+.f64 x 4/3)
(fma.f64 1 (+.f64 x 1/3) 1)
(+.f64 x 4/3)
(fma.f64 (cbrt.f64 (pow.f64 (+.f64 x 1/3) 2)) (cbrt.f64 (+.f64 x 1/3)) 1)
(fma.f64 (cbrt.f64 (pow.f64 (+.f64 1/3 x) 2)) (cbrt.f64 (+.f64 1/3 x)) 1)
(fma.f64 (cbrt.f64 (+.f64 1/3 x)) (cbrt.f64 (pow.f64 (+.f64 1/3 x) 2)) 1)
(fma.f64 (sqrt.f64 (+.f64 x 1/3)) (sqrt.f64 (+.f64 x 1/3)) 1)
(+.f64 x 4/3)

eval51.0ms (2.2%)

Compiler

Compiled 1899 to 1556 computations (18.1% saved)

prune22.0ms (1%)

Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New1581159
Fresh022
Picked101
Done011
Total1594163
Accurracy
100.0%
Counts
163 → 4
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶99.2%
(-.f64 (+.f64 x 4/3) 1)
✓100.0%
(+.f64 x 1/3)
47.0%
x
53.6%
1/3
▶99.2%
(-.f64 (+.f64 x 4/3) 1)
✓100.0%
(+.f64 x 1/3)
47.0%
x
53.6%
1/3
Compiler

Compiled 28 to 22 computations (21.4% saved)

localize48.0ms (2.1%)

Local Accuracy

Found 2 expressions with local accuracy:

NewAccuracyProgram
✓100.0%
(+.f64 x 4/3)
✓99.2%
(-.f64 (+.f64 x 4/3) 1)
Compiler

Compiled 13 to 10 computations (23.1% saved)

series0.0ms (0%)

Counts
2 → 24
Calls

6 calls:

TimeVariablePointExpression
0.0ms
x
@0
(-.f64 (+.f64 x 4/3) 1)
0.0ms
x
@inf
(-.f64 (+.f64 x 4/3) 1)
0.0ms
x
@-inf
(-.f64 (+.f64 x 4/3) 1)
0.0ms
x
@0
(+.f64 x 4/3)
0.0ms
x
@inf
(+.f64 x 4/3)

rewrite61.0ms (2.6%)

Algorithm
1×batch-egg-rewrite
Rules
1638×pow1
1540×add-exp-log
1538×log1p-expm1-u
1538×expm1-log1p-u
1518×add-log-exp
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0714
115914
2205414
Stop Event
1×node limit
Counts
2 → 74
Calls
Call 1
Inputs
(-.f64 (+.f64 x 4/3) 1)
(+.f64 x 4/3)
Outputs
(+.f64 x 1/3)
(+.f64 4/3 (+.f64 x -1))
(+.f64 4/3 (-.f64 x 1))
(+.f64 (+.f64 x 4/3) -1)
(+.f64 -1 (+.f64 x 4/3))
(+.f64 1/3 x)
(*.f64 1 (+.f64 x 1/3))
(*.f64 (+.f64 x 1/3) 1)
(*.f64 (cbrt.f64 (+.f64 x 1/3)) (pow.f64 (cbrt.f64 (+.f64 x 1/3)) 2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 x 1/3)) 2) (cbrt.f64 (+.f64 x 1/3)))
(*.f64 (sqrt.f64 (+.f64 x 1/3)) (sqrt.f64 (+.f64 x 1/3)))
(*.f64 (+.f64 (pow.f64 (+.f64 x 4/3) 3) -1) (/.f64 1 (+.f64 (pow.f64 (+.f64 x 4/3) 2) (+.f64 x 7/3))))
(*.f64 (*.f64 (+.f64 x 7/3) (+.f64 x 1/3)) (/.f64 1 (+.f64 x 7/3)))
(*.f64 (+.f64 (sqrt.f64 (+.f64 x 4/3)) 1) (-.f64 (sqrt.f64 (+.f64 x 4/3)) 1))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (+.f64 x 4/3) 2) (+.f64 x 7/3)) (+.f64 (pow.f64 (+.f64 x 4/3) 3) -1)))
(/.f64 1 (/.f64 (+.f64 x 7/3) (*.f64 (+.f64 x 7/3) (+.f64 x 1/3))))
(/.f64 (+.f64 (pow.f64 (+.f64 x 4/3) 3) -1) (+.f64 (pow.f64 (+.f64 x 4/3) 2) (+.f64 x 7/3)))
(/.f64 (+.f64 (pow.f64 (+.f64 x 4/3) 3) -1) (+.f64 (pow.f64 (+.f64 x 4/3) 2) (-.f64 1 (*.f64 (+.f64 x 4/3) -1))))
(/.f64 (*.f64 (+.f64 x 7/3) (+.f64 x 1/3)) (+.f64 x 7/3))
(/.f64 (*.f64 (+.f64 x 7/3) (+.f64 x 1/3)) (-.f64 (+.f64 x 4/3) -1))
(/.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 x 4/3) 3) -1)) (neg.f64 (+.f64 (pow.f64 (+.f64 x 4/3) 2) (+.f64 x 7/3))))
(/.f64 (neg.f64 (*.f64 (+.f64 x 7/3) (+.f64 x 1/3))) (neg.f64 (+.f64 x 7/3)))
(/.f64 (+.f64 (pow.f64 x 3) 1/27) (+.f64 (*.f64 x x) (-.f64 1/9 (*.f64 x 1/3))))
(/.f64 (-.f64 (*.f64 x x) 1/9) (-.f64 x 1/3))
(pow.f64 (+.f64 x 1/3) 1)
(pow.f64 (cbrt.f64 (+.f64 x 1/3)) 3)
(pow.f64 (pow.f64 (+.f64 x 1/3) 3) 1/3)
(pow.f64 (sqrt.f64 (+.f64 x 1/3)) 2)
(sqrt.f64 (pow.f64 (+.f64 x 1/3) 2))
(log.f64 (exp.f64 (+.f64 x 1/3)))
(cbrt.f64 (pow.f64 (+.f64 x 1/3) 3))
(expm1.f64 (log.f64 (+.f64 x 4/3)))
(exp.f64 (log.f64 (+.f64 x 1/3)))
(log1p.f64 (expm1.f64 (+.f64 x 1/3)))
(fma.f64 1 x 1/3)
(fma.f64 1 (+.f64 x 4/3) -1)
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) 1/3)
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 x 4/3)) 2) (cbrt.f64 (+.f64 x 4/3)) -1)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) 1/3)
(fma.f64 (sqrt.f64 (+.f64 x 4/3)) (sqrt.f64 (+.f64 x 4/3)) -1)
(-.f64 (+.f64 x 7/3) 1)
(-.f64 (/.f64 (*.f64 x x) (+.f64 x -4/3)) (/.f64 16/9 (+.f64 x -4/3)))
(*.f64 (+.f64 x 4/3) 1)
(*.f64 1 (+.f64 x 4/3))
(*.f64 (cbrt.f64 (+.f64 x 4/3)) (pow.f64 (cbrt.f64 (+.f64 x 4/3)) 2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 x 4/3)) 2) (cbrt.f64 (+.f64 x 4/3)))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 x 4/3)) 2) (*.f64 (cbrt.f64 (+.f64 x 4/3)) 1))
(*.f64 (sqrt.f64 (+.f64 x 4/3)) (sqrt.f64 (+.f64 x 4/3)))
(*.f64 (sqrt.f64 (+.f64 x 4/3)) (*.f64 (sqrt.f64 (+.f64 x 4/3)) 1))
(*.f64 (+.f64 (pow.f64 x 3) 64/27) (/.f64 1 (fma.f64 x x (-.f64 16/9 (*.f64 x 4/3)))))
(*.f64 (fma.f64 x x -16/9) (/.f64 1 (+.f64 x -4/3)))
(/.f64 1 (/.f64 (fma.f64 x x (-.f64 16/9 (*.f64 x 4/3))) (+.f64 (pow.f64 x 3) 64/27)))
(/.f64 1 (/.f64 (+.f64 x -4/3) (fma.f64 x x -16/9)))
(/.f64 (+.f64 (pow.f64 x 3) 64/27) (fma.f64 x x (-.f64 16/9 (*.f64 x 4/3))))
(/.f64 (+.f64 (pow.f64 x 3) 64/27) (+.f64 16/9 (-.f64 (*.f64 x x) (*.f64 x 4/3))))
(/.f64 (fma.f64 x x -16/9) (+.f64 x -4/3))
(/.f64 (neg.f64 (+.f64 (pow.f64 x 3) 64/27)) (neg.f64 (fma.f64 x x (-.f64 16/9 (*.f64 x 4/3)))))
(/.f64 (neg.f64 (fma.f64 x x -16/9)) (neg.f64 (+.f64 x -4/3)))
(/.f64 (-.f64 16/9 (*.f64 x x)) (-.f64 4/3 x))
(/.f64 (*.f64 (+.f64 (pow.f64 x 3) 64/27) 1) (fma.f64 x x (-.f64 16/9 (*.f64 x 4/3))))
(/.f64 (*.f64 (fma.f64 x x -16/9) 1) (+.f64 x -4/3))
(pow.f64 (+.f64 x 4/3) 1)
(pow.f64 (cbrt.f64 (+.f64 x 4/3)) 3)
(pow.f64 (pow.f64 (+.f64 x 4/3) 3) 1/3)
(pow.f64 (sqrt.f64 (+.f64 x 4/3)) 2)
(sqrt.f64 (pow.f64 (+.f64 x 4/3) 2))
(log.f64 (exp.f64 (+.f64 x 4/3)))
(cbrt.f64 (pow.f64 (+.f64 x 4/3) 3))
(expm1.f64 (log.f64 (+.f64 x 7/3)))
(exp.f64 (log.f64 (+.f64 x 4/3)))
(log1p.f64 (expm1.f64 (+.f64 x 4/3)))
(fma.f64 1 x 4/3)
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) 4/3)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) 4/3)

simplify55.0ms (2.4%)

Algorithm
1×egg-herbie
Rules
1630×times-frac
1066×fma-def
640×unswap-sqr
472×associate-/r*
464×associate-/l*
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01661346
13881280
215151164
Stop Event
1×node limit
Counts
98 → 89
Calls
Call 1
Inputs
1/3
(+.f64 1/3 x)
(+.f64 1/3 x)
(+.f64 1/3 x)
x
(+.f64 1/3 x)
(+.f64 1/3 x)
(+.f64 1/3 x)
x
(+.f64 1/3 x)
(+.f64 1/3 x)
(+.f64 1/3 x)
4/3
(+.f64 4/3 x)
(+.f64 4/3 x)
(+.f64 4/3 x)
x
(+.f64 4/3 x)
(+.f64 4/3 x)
(+.f64 4/3 x)
x
(+.f64 4/3 x)
(+.f64 4/3 x)
(+.f64 4/3 x)
(+.f64 x 1/3)
(+.f64 4/3 (+.f64 x -1))
(+.f64 4/3 (-.f64 x 1))
(+.f64 (+.f64 x 4/3) -1)
(+.f64 -1 (+.f64 x 4/3))
(+.f64 1/3 x)
(*.f64 1 (+.f64 x 1/3))
(*.f64 (+.f64 x 1/3) 1)
(*.f64 (cbrt.f64 (+.f64 x 1/3)) (pow.f64 (cbrt.f64 (+.f64 x 1/3)) 2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 x 1/3)) 2) (cbrt.f64 (+.f64 x 1/3)))
(*.f64 (sqrt.f64 (+.f64 x 1/3)) (sqrt.f64 (+.f64 x 1/3)))
(*.f64 (+.f64 (pow.f64 (+.f64 x 4/3) 3) -1) (/.f64 1 (+.f64 (pow.f64 (+.f64 x 4/3) 2) (+.f64 x 7/3))))
(*.f64 (*.f64 (+.f64 x 7/3) (+.f64 x 1/3)) (/.f64 1 (+.f64 x 7/3)))
(*.f64 (+.f64 (sqrt.f64 (+.f64 x 4/3)) 1) (-.f64 (sqrt.f64 (+.f64 x 4/3)) 1))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (+.f64 x 4/3) 2) (+.f64 x 7/3)) (+.f64 (pow.f64 (+.f64 x 4/3) 3) -1)))
(/.f64 1 (/.f64 (+.f64 x 7/3) (*.f64 (+.f64 x 7/3) (+.f64 x 1/3))))
(/.f64 (+.f64 (pow.f64 (+.f64 x 4/3) 3) -1) (+.f64 (pow.f64 (+.f64 x 4/3) 2) (+.f64 x 7/3)))
(/.f64 (+.f64 (pow.f64 (+.f64 x 4/3) 3) -1) (+.f64 (pow.f64 (+.f64 x 4/3) 2) (-.f64 1 (*.f64 (+.f64 x 4/3) -1))))
(/.f64 (*.f64 (+.f64 x 7/3) (+.f64 x 1/3)) (+.f64 x 7/3))
(/.f64 (*.f64 (+.f64 x 7/3) (+.f64 x 1/3)) (-.f64 (+.f64 x 4/3) -1))
(/.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 x 4/3) 3) -1)) (neg.f64 (+.f64 (pow.f64 (+.f64 x 4/3) 2) (+.f64 x 7/3))))
(/.f64 (neg.f64 (*.f64 (+.f64 x 7/3) (+.f64 x 1/3))) (neg.f64 (+.f64 x 7/3)))
(/.f64 (+.f64 (pow.f64 x 3) 1/27) (+.f64 (*.f64 x x) (-.f64 1/9 (*.f64 x 1/3))))
(/.f64 (-.f64 (*.f64 x x) 1/9) (-.f64 x 1/3))
(pow.f64 (+.f64 x 1/3) 1)
(pow.f64 (cbrt.f64 (+.f64 x 1/3)) 3)
(pow.f64 (pow.f64 (+.f64 x 1/3) 3) 1/3)
(pow.f64 (sqrt.f64 (+.f64 x 1/3)) 2)
(sqrt.f64 (pow.f64 (+.f64 x 1/3) 2))
(log.f64 (exp.f64 (+.f64 x 1/3)))
(cbrt.f64 (pow.f64 (+.f64 x 1/3) 3))
(expm1.f64 (log.f64 (+.f64 x 4/3)))
(exp.f64 (log.f64 (+.f64 x 1/3)))
(log1p.f64 (expm1.f64 (+.f64 x 1/3)))
(fma.f64 1 x 1/3)
(fma.f64 1 (+.f64 x 4/3) -1)
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) 1/3)
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 x 4/3)) 2) (cbrt.f64 (+.f64 x 4/3)) -1)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) 1/3)
(fma.f64 (sqrt.f64 (+.f64 x 4/3)) (sqrt.f64 (+.f64 x 4/3)) -1)
(-.f64 (+.f64 x 7/3) 1)
(-.f64 (/.f64 (*.f64 x x) (+.f64 x -4/3)) (/.f64 16/9 (+.f64 x -4/3)))
(*.f64 (+.f64 x 4/3) 1)
(*.f64 1 (+.f64 x 4/3))
(*.f64 (cbrt.f64 (+.f64 x 4/3)) (pow.f64 (cbrt.f64 (+.f64 x 4/3)) 2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 x 4/3)) 2) (cbrt.f64 (+.f64 x 4/3)))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 x 4/3)) 2) (*.f64 (cbrt.f64 (+.f64 x 4/3)) 1))
(*.f64 (sqrt.f64 (+.f64 x 4/3)) (sqrt.f64 (+.f64 x 4/3)))
(*.f64 (sqrt.f64 (+.f64 x 4/3)) (*.f64 (sqrt.f64 (+.f64 x 4/3)) 1))
(*.f64 (+.f64 (pow.f64 x 3) 64/27) (/.f64 1 (fma.f64 x x (-.f64 16/9 (*.f64 x 4/3)))))
(*.f64 (fma.f64 x x -16/9) (/.f64 1 (+.f64 x -4/3)))
(/.f64 1 (/.f64 (fma.f64 x x (-.f64 16/9 (*.f64 x 4/3))) (+.f64 (pow.f64 x 3) 64/27)))
(/.f64 1 (/.f64 (+.f64 x -4/3) (fma.f64 x x -16/9)))
(/.f64 (+.f64 (pow.f64 x 3) 64/27) (fma.f64 x x (-.f64 16/9 (*.f64 x 4/3))))
(/.f64 (+.f64 (pow.f64 x 3) 64/27) (+.f64 16/9 (-.f64 (*.f64 x x) (*.f64 x 4/3))))
(/.f64 (fma.f64 x x -16/9) (+.f64 x -4/3))
(/.f64 (neg.f64 (+.f64 (pow.f64 x 3) 64/27)) (neg.f64 (fma.f64 x x (-.f64 16/9 (*.f64 x 4/3)))))
(/.f64 (neg.f64 (fma.f64 x x -16/9)) (neg.f64 (+.f64 x -4/3)))
(/.f64 (-.f64 16/9 (*.f64 x x)) (-.f64 4/3 x))
(/.f64 (*.f64 (+.f64 (pow.f64 x 3) 64/27) 1) (fma.f64 x x (-.f64 16/9 (*.f64 x 4/3))))
(/.f64 (*.f64 (fma.f64 x x -16/9) 1) (+.f64 x -4/3))
(pow.f64 (+.f64 x 4/3) 1)
(pow.f64 (cbrt.f64 (+.f64 x 4/3)) 3)
(pow.f64 (pow.f64 (+.f64 x 4/3) 3) 1/3)
(pow.f64 (sqrt.f64 (+.f64 x 4/3)) 2)
(sqrt.f64 (pow.f64 (+.f64 x 4/3) 2))
(log.f64 (exp.f64 (+.f64 x 4/3)))
(cbrt.f64 (pow.f64 (+.f64 x 4/3) 3))
(expm1.f64 (log.f64 (+.f64 x 7/3)))
(exp.f64 (log.f64 (+.f64 x 4/3)))
(log1p.f64 (expm1.f64 (+.f64 x 4/3)))
(fma.f64 1 x 4/3)
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) 4/3)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) 4/3)
Outputs
1/3
(+.f64 1/3 x)
(+.f64 1/3 x)
(+.f64 1/3 x)
x
(+.f64 1/3 x)
(+.f64 1/3 x)
(+.f64 1/3 x)
x
(+.f64 1/3 x)
(+.f64 1/3 x)
(+.f64 1/3 x)
4/3
(+.f64 4/3 x)
(+.f64 x 4/3)
(+.f64 4/3 x)
(+.f64 x 4/3)
(+.f64 4/3 x)
(+.f64 x 4/3)
x
(+.f64 4/3 x)
(+.f64 x 4/3)
(+.f64 4/3 x)
(+.f64 x 4/3)
(+.f64 4/3 x)
(+.f64 x 4/3)
x
(+.f64 4/3 x)
(+.f64 x 4/3)
(+.f64 4/3 x)
(+.f64 x 4/3)
(+.f64 4/3 x)
(+.f64 x 4/3)
(+.f64 x 1/3)
(+.f64 1/3 x)
(+.f64 4/3 (+.f64 x -1))
(+.f64 1/3 x)
(+.f64 4/3 (-.f64 x 1))
(+.f64 1/3 x)
(+.f64 (+.f64 x 4/3) -1)
(+.f64 1/3 x)
(+.f64 -1 (+.f64 x 4/3))
(+.f64 1/3 x)
(+.f64 1/3 x)
(*.f64 1 (+.f64 x 1/3))
(+.f64 1/3 x)
(*.f64 (+.f64 x 1/3) 1)
(+.f64 1/3 x)
(*.f64 (cbrt.f64 (+.f64 x 1/3)) (pow.f64 (cbrt.f64 (+.f64 x 1/3)) 2))
(+.f64 1/3 x)
(*.f64 (pow.f64 (cbrt.f64 (+.f64 x 1/3)) 2) (cbrt.f64 (+.f64 x 1/3)))
(+.f64 1/3 x)
(*.f64 (sqrt.f64 (+.f64 x 1/3)) (sqrt.f64 (+.f64 x 1/3)))
(+.f64 1/3 x)
(*.f64 (+.f64 (pow.f64 (+.f64 x 4/3) 3) -1) (/.f64 1 (+.f64 (pow.f64 (+.f64 x 4/3) 2) (+.f64 x 7/3))))
(*.f64 (+.f64 -1 (pow.f64 (+.f64 x 4/3) 3)) (/.f64 1 (+.f64 (pow.f64 (+.f64 x 4/3) 2) (+.f64 x 7/3))))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 x 4/3) 3)) (+.f64 x (+.f64 7/3 (pow.f64 (+.f64 x 4/3) 2))))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 x 4/3) 3)) (+.f64 x (+.f64 (pow.f64 (+.f64 x 4/3) 2) 7/3)))
(*.f64 (*.f64 (+.f64 x 7/3) (+.f64 x 1/3)) (/.f64 1 (+.f64 x 7/3)))
(+.f64 1/3 x)
(*.f64 (+.f64 (sqrt.f64 (+.f64 x 4/3)) 1) (-.f64 (sqrt.f64 (+.f64 x 4/3)) 1))
(+.f64 1/3 x)
(/.f64 1 (/.f64 (+.f64 (pow.f64 (+.f64 x 4/3) 2) (+.f64 x 7/3)) (+.f64 (pow.f64 (+.f64 x 4/3) 3) -1)))
(*.f64 (+.f64 -1 (pow.f64 (+.f64 x 4/3) 3)) (/.f64 1 (+.f64 (pow.f64 (+.f64 x 4/3) 2) (+.f64 x 7/3))))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 x 4/3) 3)) (+.f64 x (+.f64 7/3 (pow.f64 (+.f64 x 4/3) 2))))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 x 4/3) 3)) (+.f64 x (+.f64 (pow.f64 (+.f64 x 4/3) 2) 7/3)))
(/.f64 1 (/.f64 (+.f64 x 7/3) (*.f64 (+.f64 x 7/3) (+.f64 x 1/3))))
(+.f64 1/3 x)
(/.f64 (+.f64 (pow.f64 (+.f64 x 4/3) 3) -1) (+.f64 (pow.f64 (+.f64 x 4/3) 2) (+.f64 x 7/3)))
(*.f64 (+.f64 -1 (pow.f64 (+.f64 x 4/3) 3)) (/.f64 1 (+.f64 (pow.f64 (+.f64 x 4/3) 2) (+.f64 x 7/3))))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 x 4/3) 3)) (+.f64 x (+.f64 7/3 (pow.f64 (+.f64 x 4/3) 2))))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 x 4/3) 3)) (+.f64 x (+.f64 (pow.f64 (+.f64 x 4/3) 2) 7/3)))
(/.f64 (+.f64 (pow.f64 (+.f64 x 4/3) 3) -1) (+.f64 (pow.f64 (+.f64 x 4/3) 2) (-.f64 1 (*.f64 (+.f64 x 4/3) -1))))
(*.f64 (+.f64 -1 (pow.f64 (+.f64 x 4/3) 3)) (/.f64 1 (+.f64 (pow.f64 (+.f64 x 4/3) 2) (+.f64 x 7/3))))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 x 4/3) 3)) (+.f64 x (+.f64 7/3 (pow.f64 (+.f64 x 4/3) 2))))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 x 4/3) 3)) (+.f64 x (+.f64 (pow.f64 (+.f64 x 4/3) 2) 7/3)))
(/.f64 (*.f64 (+.f64 x 7/3) (+.f64 x 1/3)) (+.f64 x 7/3))
(+.f64 1/3 x)
(/.f64 (*.f64 (+.f64 x 7/3) (+.f64 x 1/3)) (-.f64 (+.f64 x 4/3) -1))
(+.f64 1/3 x)
(/.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 x 4/3) 3) -1)) (neg.f64 (+.f64 (pow.f64 (+.f64 x 4/3) 2) (+.f64 x 7/3))))
(*.f64 (+.f64 -1 (pow.f64 (+.f64 x 4/3) 3)) (/.f64 1 (+.f64 (pow.f64 (+.f64 x 4/3) 2) (+.f64 x 7/3))))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 x 4/3) 3)) (+.f64 x (+.f64 7/3 (pow.f64 (+.f64 x 4/3) 2))))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 x 4/3) 3)) (+.f64 x (+.f64 (pow.f64 (+.f64 x 4/3) 2) 7/3)))
(/.f64 (neg.f64 (*.f64 (+.f64 x 7/3) (+.f64 x 1/3))) (neg.f64 (+.f64 x 7/3)))
(+.f64 1/3 x)
(/.f64 (+.f64 (pow.f64 x 3) 1/27) (+.f64 (*.f64 x x) (-.f64 1/9 (*.f64 x 1/3))))
(/.f64 (+.f64 (pow.f64 x 3) 1/27) (fma.f64 x x (-.f64 1/9 (*.f64 1/3 x))))
(/.f64 (+.f64 (pow.f64 x 3) 1/27) (+.f64 (fma.f64 x x 1/9) (*.f64 x -1/3)))
(/.f64 (+.f64 (pow.f64 x 3) 1/27) (fma.f64 x x (fma.f64 x -1/3 1/9)))
(/.f64 (-.f64 (*.f64 x x) 1/9) (-.f64 x 1/3))
(/.f64 (fma.f64 x x -1/9) (+.f64 x -1/3))
(pow.f64 (+.f64 x 1/3) 1)
(+.f64 1/3 x)
(pow.f64 (cbrt.f64 (+.f64 x 1/3)) 3)
(+.f64 1/3 x)
(pow.f64 (pow.f64 (+.f64 x 1/3) 3) 1/3)
(+.f64 1/3 x)
(pow.f64 (sqrt.f64 (+.f64 x 1/3)) 2)
(+.f64 1/3 x)
(sqrt.f64 (pow.f64 (+.f64 x 1/3) 2))
(+.f64 1/3 x)
(log.f64 (exp.f64 (+.f64 x 1/3)))
(+.f64 1/3 x)
(cbrt.f64 (pow.f64 (+.f64 x 1/3) 3))
(+.f64 1/3 x)
(expm1.f64 (log.f64 (+.f64 x 4/3)))
(+.f64 1/3 x)
(exp.f64 (log.f64 (+.f64 x 1/3)))
(+.f64 1/3 x)
(log1p.f64 (expm1.f64 (+.f64 x 1/3)))
(+.f64 1/3 x)
(fma.f64 1 x 1/3)
(+.f64 1/3 x)
(fma.f64 1 (+.f64 x 4/3) -1)
(+.f64 1/3 x)
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) 1/3)
(+.f64 1/3 x)
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 x 4/3)) 2) (cbrt.f64 (+.f64 x 4/3)) -1)
(+.f64 1/3 x)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) 1/3)
(+.f64 1/3 x)
(fma.f64 (sqrt.f64 (+.f64 x 4/3)) (sqrt.f64 (+.f64 x 4/3)) -1)
(+.f64 1/3 x)
(-.f64 (+.f64 x 7/3) 1)
(+.f64 x 4/3)
(-.f64 (/.f64 (*.f64 x x) (+.f64 x -4/3)) (/.f64 16/9 (+.f64 x -4/3)))
(-.f64 (/.f64 x (/.f64 (+.f64 x -4/3) x)) (/.f64 16/9 (+.f64 x -4/3)))
(+.f64 (*.f64 (/.f64 x (+.f64 x -4/3)) x) (/.f64 -16/9 (+.f64 x -4/3)))
(/.f64 (fma.f64 x x -16/9) (+.f64 x -4/3))
(*.f64 (+.f64 x 4/3) 1)
(+.f64 x 4/3)
(*.f64 1 (+.f64 x 4/3))
(+.f64 x 4/3)
(*.f64 (cbrt.f64 (+.f64 x 4/3)) (pow.f64 (cbrt.f64 (+.f64 x 4/3)) 2))
(+.f64 x 4/3)
(*.f64 (pow.f64 (cbrt.f64 (+.f64 x 4/3)) 2) (cbrt.f64 (+.f64 x 4/3)))
(+.f64 x 4/3)
(*.f64 (pow.f64 (cbrt.f64 (+.f64 x 4/3)) 2) (*.f64 (cbrt.f64 (+.f64 x 4/3)) 1))
(+.f64 x 4/3)
(*.f64 (sqrt.f64 (+.f64 x 4/3)) (sqrt.f64 (+.f64 x 4/3)))
(+.f64 x 4/3)
(*.f64 (sqrt.f64 (+.f64 x 4/3)) (*.f64 (sqrt.f64 (+.f64 x 4/3)) 1))
(+.f64 x 4/3)
(*.f64 (+.f64 (pow.f64 x 3) 64/27) (/.f64 1 (fma.f64 x x (-.f64 16/9 (*.f64 x 4/3)))))
(/.f64 (+.f64 (pow.f64 x 3) 64/27) (fma.f64 x x (-.f64 16/9 (*.f64 x 4/3))))
(/.f64 (+.f64 (pow.f64 x 3) 64/27) (fma.f64 x (+.f64 x -4/3) 16/9))
(*.f64 (fma.f64 x x -16/9) (/.f64 1 (+.f64 x -4/3)))
(-.f64 (/.f64 x (/.f64 (+.f64 x -4/3) x)) (/.f64 16/9 (+.f64 x -4/3)))
(+.f64 (*.f64 (/.f64 x (+.f64 x -4/3)) x) (/.f64 -16/9 (+.f64 x -4/3)))
(/.f64 (fma.f64 x x -16/9) (+.f64 x -4/3))
(/.f64 1 (/.f64 (fma.f64 x x (-.f64 16/9 (*.f64 x 4/3))) (+.f64 (pow.f64 x 3) 64/27)))
(/.f64 (+.f64 (pow.f64 x 3) 64/27) (fma.f64 x x (-.f64 16/9 (*.f64 x 4/3))))
(/.f64 (+.f64 (pow.f64 x 3) 64/27) (fma.f64 x (+.f64 x -4/3) 16/9))
(/.f64 1 (/.f64 (+.f64 x -4/3) (fma.f64 x x -16/9)))
(-.f64 (/.f64 x (/.f64 (+.f64 x -4/3) x)) (/.f64 16/9 (+.f64 x -4/3)))
(+.f64 (*.f64 (/.f64 x (+.f64 x -4/3)) x) (/.f64 -16/9 (+.f64 x -4/3)))
(/.f64 (fma.f64 x x -16/9) (+.f64 x -4/3))
(/.f64 (+.f64 (pow.f64 x 3) 64/27) (fma.f64 x x (-.f64 16/9 (*.f64 x 4/3))))
(/.f64 (+.f64 (pow.f64 x 3) 64/27) (fma.f64 x (+.f64 x -4/3) 16/9))
(/.f64 (+.f64 (pow.f64 x 3) 64/27) (+.f64 16/9 (-.f64 (*.f64 x x) (*.f64 x 4/3))))
(/.f64 (+.f64 (pow.f64 x 3) 64/27) (fma.f64 x x (-.f64 16/9 (*.f64 x 4/3))))
(/.f64 (+.f64 (pow.f64 x 3) 64/27) (fma.f64 x (+.f64 x -4/3) 16/9))
(/.f64 (fma.f64 x x -16/9) (+.f64 x -4/3))
(-.f64 (/.f64 x (/.f64 (+.f64 x -4/3) x)) (/.f64 16/9 (+.f64 x -4/3)))
(+.f64 (*.f64 (/.f64 x (+.f64 x -4/3)) x) (/.f64 -16/9 (+.f64 x -4/3)))
(/.f64 (neg.f64 (+.f64 (pow.f64 x 3) 64/27)) (neg.f64 (fma.f64 x x (-.f64 16/9 (*.f64 x 4/3)))))
(/.f64 (+.f64 (pow.f64 x 3) 64/27) (fma.f64 x x (-.f64 16/9 (*.f64 x 4/3))))
(/.f64 (+.f64 (pow.f64 x 3) 64/27) (fma.f64 x (+.f64 x -4/3) 16/9))
(/.f64 (neg.f64 (fma.f64 x x -16/9)) (neg.f64 (+.f64 x -4/3)))
(-.f64 (/.f64 x (/.f64 (+.f64 x -4/3) x)) (/.f64 16/9 (+.f64 x -4/3)))
(+.f64 (*.f64 (/.f64 x (+.f64 x -4/3)) x) (/.f64 -16/9 (+.f64 x -4/3)))
(/.f64 (fma.f64 x x -16/9) (+.f64 x -4/3))
(/.f64 (-.f64 16/9 (*.f64 x x)) (-.f64 4/3 x))
(-.f64 (/.f64 x (/.f64 (+.f64 x -4/3) x)) (/.f64 16/9 (+.f64 x -4/3)))
(+.f64 (*.f64 (/.f64 x (+.f64 x -4/3)) x) (/.f64 -16/9 (+.f64 x -4/3)))
(/.f64 (fma.f64 x x -16/9) (+.f64 x -4/3))
(/.f64 (*.f64 (+.f64 (pow.f64 x 3) 64/27) 1) (fma.f64 x x (-.f64 16/9 (*.f64 x 4/3))))
(/.f64 (+.f64 (pow.f64 x 3) 64/27) (fma.f64 x x (-.f64 16/9 (*.f64 x 4/3))))
(/.f64 (+.f64 (pow.f64 x 3) 64/27) (fma.f64 x (+.f64 x -4/3) 16/9))
(/.f64 (*.f64 (fma.f64 x x -16/9) 1) (+.f64 x -4/3))
(-.f64 (/.f64 x (/.f64 (+.f64 x -4/3) x)) (/.f64 16/9 (+.f64 x -4/3)))
(+.f64 (*.f64 (/.f64 x (+.f64 x -4/3)) x) (/.f64 -16/9 (+.f64 x -4/3)))
(/.f64 (fma.f64 x x -16/9) (+.f64 x -4/3))
(pow.f64 (+.f64 x 4/3) 1)
(+.f64 x 4/3)
(pow.f64 (cbrt.f64 (+.f64 x 4/3)) 3)
(+.f64 x 4/3)
(pow.f64 (pow.f64 (+.f64 x 4/3) 3) 1/3)
(+.f64 x 4/3)
(pow.f64 (sqrt.f64 (+.f64 x 4/3)) 2)
(+.f64 x 4/3)
(sqrt.f64 (pow.f64 (+.f64 x 4/3) 2))
(+.f64 x 4/3)
(log.f64 (exp.f64 (+.f64 x 4/3)))
(+.f64 x 4/3)
(cbrt.f64 (pow.f64 (+.f64 x 4/3) 3))
(+.f64 x 4/3)
(expm1.f64 (log.f64 (+.f64 x 7/3)))
(exp.f64 (log.f64 (+.f64 x 4/3)))
(+.f64 x 4/3)
(log1p.f64 (expm1.f64 (+.f64 x 4/3)))
(+.f64 x 4/3)
(fma.f64 1 x 4/3)
(+.f64 x 4/3)
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) 4/3)
(+.f64 x 4/3)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) 4/3)
(+.f64 x 4/3)

eval25.0ms (1.1%)

Compiler

Compiled 901 to 706 computations (21.6% saved)

prune15.0ms (0.7%)

Pruning

4 alts after pruning (2 fresh and 2 done)

PrunedKeptTotal
New89089
Fresh022
Picked011
Done011
Total89493
Accurracy
100.0%
Counts
93 → 4
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓99.2%
(-.f64 (+.f64 x 4/3) 1)
✓100.0%
(+.f64 x 1/3)
47.0%
x
53.6%
1/3
✓99.2%
(-.f64 (+.f64 x 4/3) 1)
✓100.0%
(+.f64 x 1/3)
47.0%
x
53.6%
1/3
Compiler

Compiled 28 to 22 computations (21.4% saved)

localize0.0ms (0%)

eval0.0ms (0%)

Compiler

Compiled 1 to 1 computations (0% saved)

prune2.0ms (0.1%)

Pruning

4 alts after pruning (2 fresh and 2 done)

PrunedKeptTotal
New000
Fresh022
Picked000
Done022
Total044
Accurracy
100.0%
Counts
4 → 4
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓99.2%
(-.f64 (+.f64 x 4/3) 1)
✓100.0%
(+.f64 x 1/3)
47.0%
x
53.6%
1/3
Compiler

Compiled 37 to 29 computations (21.6% saved)

regimes11.0ms (0.5%)

Counts
6 → 1
Calls
Call 1
Inputs
1/3
x
(+.f64 x 1/3)
(+.f64 x (/.f64 1 3))
(-.f64 (+.f64 x 4/3) 1)
(-.f64 (+.f64 1 (+.f64 x 1/3)) 1)
Outputs
(+.f64 x 1/3)
Calls

2 calls:

4.0ms
x
3.0ms
(+.f64 x (/.f64 1 3))
Results
AccuracySegmentsBranch
100.0%1x
100.0%1(+.f64 x (/.f64 1 3))
Compiler

Compiled 31 to 24 computations (22.6% saved)

regimes9.0ms (0.4%)

Counts
2 → 3
Calls
Call 1
Inputs
1/3
x
Outputs
x
1/3
x
Calls

1 calls:

8.0ms
x
Results
AccuracySegmentsBranch
97.2%3x
Compiler

Compiled 5 to 3 computations (40% saved)

regimes3.0ms (0.1%)

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts
1 → 1
Calls
Call 1
Inputs
1/3
Outputs
1/3
Calls

1 calls:

3.0ms
x
Results
AccuracySegmentsBranch
53.6%1x
Compiler

Compiled 4 to 3 computations (25% saved)

bsearch84.0ms (3.6%)

Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
35.0ms
0.00023055286236007628
0.6742590698326798
49.0ms
-686552.4606742242
-7.151034399286261e-5
Results
49.0ms288×body256valid
Compiler

Compiled 118 to 98 computations (16.9% saved)

simplify5.0ms (0.2%)

Algorithm
1×egg-herbie
Rules
2×+-commutative
2×if-if-or-not
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01429
12029
Stop Event
1×fuel
1×saturated
Calls
Call 1
Inputs
(+.f64 x 1/3)
(if (<=.f64 x -5944751508129055/18014398509481984) x (if (<=.f64 x 6124895493223875/18014398509481984) 1/3 x))
1/3
Outputs
(+.f64 x 1/3)
(if (<=.f64 x -5944751508129055/18014398509481984) x (if (<=.f64 x 6124895493223875/18014398509481984) 1/3 x))
1/3
Compiler

Compiled 18 to 13 computations (27.8% saved)

soundness13.0ms (0.5%)

Rules
2×1-exp
2×+-commutative
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
087
1127
Stop Event
1×saturated
Compiler

Compiled 9 to 7 computations (22.2% saved)

end73.0ms (3.1%)

Compiler

Compiled 44 to 32 computations (27.3% saved)

Profiling

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