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

Time bar (total: 1.8s)

analyze0.0ms (0%)

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

Compiled 7 to 6 computations (14.3% saved)

sample619.0ms (33.6%)

Results
607.0ms8256×body256valid
Bogosity

preprocess14.0ms (0.8%)

Algorithm
1×egg-herbie
Rules
14×sub-neg
12×fma-def
10×+-commutative
8×associate-+l-
6×associate--r+
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01125
11821
22621
33421
44421
55621
67121
77521
Stop Event
1×saturated
Calls
Call 1
Inputs
(+.f64 x (/.f64 1 3))
(+.f64 x (/.f64 1 3))
(+.f64 (neg.f64 x) (/.f64 1 3))
Outputs
(+.f64 x (/.f64 1 3))
(+.f64 x 1/3)
(+.f64 x (/.f64 1 3))
(+.f64 x 1/3)
(+.f64 (neg.f64 x) (/.f64 1 3))
(+.f64 1/3 (neg.f64 x))
(-.f64 1/3 x)
Compiler

Compiled 6 to 5 computations (16.7% saved)

eval0.0ms (0%)

Compiler

Compiled 4 to 3 computations (25% saved)

prune1.0ms (0.1%)

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)

localize45.0ms (2.4%)

Localize:

Found 1 expressions with local error:

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)

rewrite63.0ms (3.4%)

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)

simplify62.0ms (3.3%)

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)

eval8.0ms (0.4%)

Compiler

Compiled 319 to 235 computations (26.3% saved)

prune14.0ms (0.7%)

Pruning

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New32537
Fresh000
Picked011
Done000
Total32638
Accuracy
100.0%
Counts
38 → 6
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶70.8%
(/.f64 (+.f64 (pow.f64 x 3) 1/27) (+.f64 1/9 (-.f64 (*.f64 x x) (*.f64 x 1/3))))
▶76.7%
(/.f64 1 (/.f64 (+.f64 x -1/3) (fma.f64 x x -1/9)))
▶99.2%
(-.f64 (+.f64 1 (+.f64 x 1/3)) 1)
✓100.0%
(+.f64 x 1/3)
48.5%
x
53.3%
1/3
▶70.8%
(/.f64 (+.f64 (pow.f64 x 3) 1/27) (+.f64 1/9 (-.f64 (*.f64 x x) (*.f64 x 1/3))))
▶76.7%
(/.f64 1 (/.f64 (+.f64 x -1/3) (fma.f64 x x -1/9)))
▶99.2%
(-.f64 (+.f64 1 (+.f64 x 1/3)) 1)
✓100.0%
(+.f64 x 1/3)
48.5%
x
53.3%
1/3
Compiler

Compiled 86 to 66 computations (23.3% saved)

localize135.0ms (7.3%)

Localize:

Found 10 expressions with local error:

NewAccuracyProgram
✓100.0%
(-.f64 (*.f64 x x) (*.f64 x 1/3))
✓100.0%
(+.f64 1/9 (-.f64 (*.f64 x x) (*.f64 x 1/3)))
✓99.4%
(*.f64 x 1/3)
✓71.8%
(/.f64 (+.f64 (pow.f64 x 3) 1/27) (+.f64 1/9 (-.f64 (*.f64 x x) (*.f64 x 1/3))))
✓100.0%
(fma.f64 x x -1/9)
✓100.0%
(+.f64 x -1/3)
✓99.9%
(/.f64 1 (/.f64 (+.f64 x -1/3) (fma.f64 x x -1/9)))
✓76.7%
(/.f64 (+.f64 x -1/3) (fma.f64 x x -1/9))
100.0%
(+.f64 x 1/3)
✓99.2%
(-.f64 (+.f64 1 (+.f64 x 1/3)) 1)
Compiler

Compiled 99 to 66 computations (33.3% saved)

series6.0ms (0.3%)

Counts
9 → 108
Calls

27 calls:

TimeVariablePointExpression
1.0ms
x
@inf
(/.f64 (+.f64 (pow.f64 x 3) 1/27) (+.f64 1/9 (-.f64 (*.f64 x x) (*.f64 x 1/3))))
1.0ms
x
@-inf
(/.f64 1 (/.f64 (+.f64 x -1/3) (fma.f64 x x -1/9)))
0.0ms
x
@0
(/.f64 1 (/.f64 (+.f64 x -1/3) (fma.f64 x x -1/9)))
0.0ms
x
@0
(/.f64 (+.f64 (pow.f64 x 3) 1/27) (+.f64 1/9 (-.f64 (*.f64 x x) (*.f64 x 1/3))))
0.0ms
x
@-inf
(/.f64 (+.f64 (pow.f64 x 3) 1/27) (+.f64 1/9 (-.f64 (*.f64 x x) (*.f64 x 1/3))))

rewrite107.0ms (5.8%)

Algorithm
1×batch-egg-rewrite
Rules
590×add-sqr-sqrt
566×pow1
564×*-un-lft-identity
554×add-cbrt-cube
554×add-cube-cbrt
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
025133
160085
Stop Event
1×node limit
Counts
9 → 487
Calls
Call 1
Inputs
(-.f64 (+.f64 1 (+.f64 x 1/3)) 1)
(/.f64 (+.f64 x -1/3) (fma.f64 x x -1/9))
(/.f64 1 (/.f64 (+.f64 x -1/3) (fma.f64 x x -1/9)))
(+.f64 x -1/3)
(fma.f64 x x -1/9)
(/.f64 (+.f64 (pow.f64 x 3) 1/27) (+.f64 1/9 (-.f64 (*.f64 x x) (*.f64 x 1/3))))
(*.f64 x 1/3)
(+.f64 1/9 (-.f64 (*.f64 x x) (*.f64 x 1/3)))
(-.f64 (*.f64 x x) (*.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 1/3 (*.f64 x 1))
(+.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 (*.f64 (/.f64 1 (+.f64 x -1/3)) (*.f64 x x)) (*.f64 (/.f64 1 (+.f64 x -1/3)) -1/9))
(+.f64 (*.f64 (*.f64 x x) (/.f64 1 (+.f64 x -1/3))) (*.f64 -1/9 (/.f64 1 (+.f64 x -1/3))))
(+.f64 (*.f64 x 1) 1/3)
(*.f64 1 (+.f64 x 1/3))
(*.f64 (+.f64 x 1/3) 1)
(*.f64 (fma.f64 x x -1/9) (/.f64 1 (+.f64 x -1/3)))
(*.f64 (+.f64 (pow.f64 x 3) 1/27) (/.f64 1 (fma.f64 x (+.f64 x -1/3) 1/9)))
(*.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 (pow.f64 (cbrt.f64 (+.f64 (pow.f64 x 3) 1/27)) 2) (*.f64 (cbrt.f64 (+.f64 (pow.f64 x 3) 1/27)) (/.f64 1 (fma.f64 x (+.f64 x -1/3) 1/9))))
(*.f64 (sqrt.f64 (+.f64 x 1/3)) (sqrt.f64 (+.f64 x 1/3)))
(*.f64 (sqrt.f64 (+.f64 (pow.f64 x 3) 1/27)) (*.f64 (sqrt.f64 (+.f64 (pow.f64 x 3) 1/27)) (/.f64 1 (fma.f64 x (+.f64 x -1/3) 1/9))))
(*.f64 -1 (/.f64 1 (/.f64 -1 (+.f64 x 1/3))))
(*.f64 (+.f64 -1/27 (neg.f64 (pow.f64 x 3))) (/.f64 1 (neg.f64 (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 (fma.f64 x (+.f64 x -1/3) 1/9)) (+.f64 (pow.f64 x 3) 1/27))
(*.f64 (+.f64 (pow.f64 (+.f64 x 4/3) 2) -1) (/.f64 1 (+.f64 (+.f64 x 1/3) 2)))
(*.f64 (/.f64 1 (+.f64 x -1/3)) (fma.f64 x x -1/9))
(*.f64 (/.f64 1 (+.f64 x -1/3)) (pow.f64 (/.f64 1 (fma.f64 x x -1/9)) -1))
(*.f64 (pow.f64 (pow.f64 (/.f64 1 (cbrt.f64 (+.f64 x 1/3))) 2) -1) (pow.f64 (/.f64 1 (cbrt.f64 (+.f64 x 1/3))) -1))
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(pow.f64 (+.f64 x 1/3) 1)
(pow.f64 (/.f64 1 (+.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)
(neg.f64 (/.f64 (+.f64 (pow.f64 x 3) 1/27) (neg.f64 (fma.f64 x (+.f64 x -1/3) 1/9))))
(sqrt.f64 (pow.f64 (+.f64 x 1/3) 2))
(log.f64 (exp.f64 (+.f64 x 1/3)))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 x 1/3))))
(cbrt.f64 (pow.f64 (+.f64 x 1/3) 3))
(expm1.f64 (log1p.f64 (+.f64 x 1/3)))
(exp.f64 (log1p.f64 (+.f64 x -2/3)))
(exp.f64 (*.f64 (neg.f64 (log1p.f64 (+.f64 x -2/3))) -1))
(exp.f64 (*.f64 (log1p.f64 (+.f64 x -2/3)) 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 (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 (+.f64 x 4/3)) (sqrt.f64 (+.f64 x 4/3)) -1)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) 1/3)
(-.f64 (exp.f64 (log1p.f64 (*.f64 x 1/3))) 1)
(pow.f64 (*.f64 x 1/3) 1)
(pow.f64 (cbrt.f64 (*.f64 x 1/3)) 3)
(pow.f64 (sqrt.f64 (*.f64 x 1/3)) 2)
(pow.f64 (*.f64 (pow.f64 x 3) 1/27) 1/3)
(sqrt.f64 (*.f64 1/9 (*.f64 x x)))
(log.f64 (pow.f64 (exp.f64 1/3) x))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 x 1/3))))
(cbrt.f64 (*.f64 (pow.f64 x 3) 1/27))
(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)))
(-.f64 (*.f64 x x) (-.f64 (*.f64 x 1/3) 1/9))
(-.f64 (+.f64 1/9 (*.f64 x x)) (*.f64 x 1/3))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 x (+.f64 x -1/3) 1/9))) 1)
(-.f64 (/.f64 1/81 (-.f64 1/9 (*.f64 x (+.f64 x -1/3)))) (/.f64 (pow.f64 (*.f64 x (+.f64 x -1/3)) 2) (-.f64 1/9 (*.f64 x (+.f64 x -1/3)))))
(*.f64 1 (fma.f64 x (+.f64 x -1/3) 1/9))
(*.f64 (cbrt.f64 (fma.f64 x (+.f64 x -1/3) 1/9)) (pow.f64 (cbrt.f64 (fma.f64 x (+.f64 x -1/3) 1/9)) 2))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 x (+.f64 x -1/3) 1/9)) 2) (cbrt.f64 (fma.f64 x (+.f64 x -1/3) 1/9)))
(*.f64 (sqrt.f64 (fma.f64 x (+.f64 x -1/3) 1/9)) (sqrt.f64 (fma.f64 x (+.f64 x -1/3) 1/9)))
(*.f64 (+.f64 1/729 (pow.f64 (*.f64 x (+.f64 x -1/3)) 3)) (/.f64 1 (+.f64 1/81 (*.f64 (*.f64 x (+.f64 x -1/3)) (-.f64 (*.f64 x (+.f64 x -1/3)) 1/9)))))
(*.f64 (-.f64 1/81 (pow.f64 (*.f64 x (+.f64 x -1/3)) 2)) (/.f64 1 (-.f64 1/9 (*.f64 x (+.f64 x -1/3)))))
(/.f64 1 (/.f64 (+.f64 1/81 (*.f64 (*.f64 x (+.f64 x -1/3)) (-.f64 (*.f64 x (+.f64 x -1/3)) 1/9))) (+.f64 1/729 (pow.f64 (*.f64 x (+.f64 x -1/3)) 3))))
(/.f64 1 (/.f64 (-.f64 1/9 (*.f64 x (+.f64 x -1/3))) (-.f64 1/81 (pow.f64 (*.f64 x (+.f64 x -1/3)) 2))))
(/.f64 (+.f64 1/729 (pow.f64 (*.f64 x (+.f64 x -1/3)) 3)) (+.f64 1/81 (*.f64 (*.f64 x (+.f64 x -1/3)) (-.f64 (*.f64 x (+.f64 x -1/3)) 1/9))))
(/.f64 (+.f64 1/729 (pow.f64 (*.f64 x (+.f64 x -1/3)) 3)) (+.f64 (pow.f64 (*.f64 x (+.f64 x -1/3)) 2) (-.f64 1/81 (*.f64 (*.f64 x (+.f64 x -1/3)) 1/9))))
(/.f64 (-.f64 1/81 (pow.f64 (*.f64 x (+.f64 x -1/3)) 2)) (-.f64 1/9 (*.f64 x (+.f64 x -1/3))))
(/.f64 (neg.f64 (+.f64 1/729 (pow.f64 (*.f64 x (+.f64 x -1/3)) 3))) (neg.f64 (+.f64 1/81 (*.f64 (*.f64 x (+.f64 x -1/3)) (-.f64 (*.f64 x (+.f64 x -1/3)) 1/9)))))
(/.f64 (neg.f64 (-.f64 1/81 (pow.f64 (*.f64 x (+.f64 x -1/3)) 2))) (neg.f64 (-.f64 1/9 (*.f64 x (+.f64 x -1/3)))))
(/.f64 (+.f64 (pow.f64 x 6) (pow.f64 (+.f64 1/9 (*.f64 x -1/3)) 3)) (+.f64 (pow.f64 x 4) (-.f64 (*.f64 (+.f64 1/9 (*.f64 x -1/3)) (+.f64 1/9 (*.f64 x -1/3))) (*.f64 (*.f64 x x) (+.f64 1/9 (*.f64 x -1/3))))))
(/.f64 (-.f64 (pow.f64 (+.f64 1/9 (*.f64 x x)) 3) (*.f64 (pow.f64 x 3) 1/27)) (+.f64 (*.f64 (+.f64 1/9 (*.f64 x x)) (+.f64 1/9 (*.f64 x x))) (+.f64 (*.f64 1/9 (*.f64 x x)) (*.f64 (+.f64 1/9 (*.f64 x x)) (*.f64 x 1/3)))))
(/.f64 (-.f64 (pow.f64 (*.f64 x (+.f64 x -1/3)) 2) 1/81) (-.f64 (*.f64 x (+.f64 x -1/3)) 1/9))
(/.f64 (-.f64 (pow.f64 x 4) (*.f64 (+.f64 1/9 (*.f64 x -1/3)) (+.f64 1/9 (*.f64 x -1/3)))) (-.f64 (*.f64 x x) (+.f64 1/9 (*.f64 x -1/3))))
(/.f64 (-.f64 (*.f64 (+.f64 1/9 (*.f64 x x)) (+.f64 1/9 (*.f64 x x))) (*.f64 1/9 (*.f64 x x))) (+.f64 (+.f64 1/9 (*.f64 x x)) (*.f64 x 1/3)))
(pow.f64 (fma.f64 x (+.f64 x -1/3) 1/9) 1)
(pow.f64 (cbrt.f64 (fma.f64 x (+.f64 x -1/3) 1/9)) 3)
(pow.f64 (pow.f64 (fma.f64 x (+.f64 x -1/3) 1/9) 3) 1/3)
(pow.f64 (sqrt.f64 (fma.f64 x (+.f64 x -1/3) 1/9)) 2)
(sqrt.f64 (pow.f64 (fma.f64 x (+.f64 x -1/3) 1/9) 2))
(log.f64 (exp.f64 (fma.f64 x (+.f64 x -1/3) 1/9)))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 x (+.f64 x -1/3) 1/9))))
(cbrt.f64 (pow.f64 (fma.f64 x (+.f64 x -1/3) 1/9) 3))
(expm1.f64 (log1p.f64 (fma.f64 x (+.f64 x -1/3) 1/9)))
(exp.f64 (log.f64 (fma.f64 x (+.f64 x -1/3) 1/9)))
(exp.f64 (*.f64 (log.f64 (fma.f64 x (+.f64 x -1/3) 1/9)) 1))
(log1p.f64 (expm1.f64 (fma.f64 x (+.f64 x -1/3) 1/9)))
(fma.f64 1 (*.f64 x x) (+.f64 1/9 (*.f64 x -1/3)))
(fma.f64 1 (*.f64 x (+.f64 x -1/3)) 1/9)
(fma.f64 x x (+.f64 1/9 (*.f64 x -1/3)))
(fma.f64 x (+.f64 x -1/3) 1/9)
(fma.f64 (cbrt.f64 (pow.f64 x 4)) (pow.f64 (cbrt.f64 x) 2) (+.f64 1/9 (*.f64 x -1/3)))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 x (+.f64 x -1/3))) 2) (cbrt.f64 (*.f64 x (+.f64 x -1/3))) 1/9)
(fma.f64 (sqrt.f64 (*.f64 x (+.f64 x -1/3))) (sqrt.f64 (*.f64 x (+.f64 x -1/3))) 1/9)
(+.f64 (*.f64 x x) (*.f64 x -1/3))
(+.f64 (*.f64 x x) (+.f64 (*.f64 x -1/3) (fma.f64 -1/3 x (*.f64 x 1/3))))
(+.f64 (*.f64 x (+.f64 x -1/3)) (fma.f64 -1/3 x (*.f64 x 1/3)))
(+.f64 (*.f64 x (+.f64 x -1/3)) (fma.f64 (neg.f64 x) 1/3 (*.f64 x 1/3)))
(+.f64 (*.f64 x (+.f64 x -1/3)) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 x 1/3))) (pow.f64 (cbrt.f64 (*.f64 x 1/3)) 2) (*.f64 x 1/3)))
(+.f64 (*.f64 x (+.f64 x -1/3)) (fma.f64 (neg.f64 (sqrt.f64 (*.f64 x 1/3))) (sqrt.f64 (*.f64 x 1/3)) (*.f64 x 1/3)))
(+.f64 (*.f64 x (+.f64 x -1/3)) (+.f64 (fma.f64 -1/3 x (*.f64 x 1/3)) (fma.f64 -1/3 x (*.f64 x 1/3))))
(+.f64 (fma.f64 -1/3 x (*.f64 x 1/3)) (*.f64 x (+.f64 x -1/3)))
(+.f64 (*.f64 x -1/3) (*.f64 x x))
(+.f64 (fma.f64 1 (*.f64 x x) (neg.f64 (*.f64 (*.f64 x 1/3) 1))) (fma.f64 (*.f64 x -1/3) 1 (*.f64 (*.f64 x 1/3) 1)))
(+.f64 (fma.f64 x x (neg.f64 (*.f64 (*.f64 x 1/3) 1))) (fma.f64 (*.f64 x -1/3) 1 (*.f64 (*.f64 x 1/3) 1)))
(+.f64 (fma.f64 (cbrt.f64 (pow.f64 x 4)) (pow.f64 (cbrt.f64 x) 2) (neg.f64 (*.f64 (*.f64 x 1/3) 1))) (fma.f64 (*.f64 x -1/3) 1 (*.f64 (*.f64 x 1/3) 1)))
(+.f64 (*.f64 (*.f64 x x) 1) (*.f64 (*.f64 x -1/3) 1))
(+.f64 (*.f64 (*.f64 x (+.f64 x -1/3)) 1) (*.f64 (fma.f64 -1/3 x (*.f64 x 1/3)) 1))
(*.f64 1 (*.f64 x (+.f64 x -1/3)))
(*.f64 x (+.f64 x -1/3))
(*.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) (+.f64 x -1/3)))
(*.f64 (cbrt.f64 (*.f64 x (+.f64 x -1/3))) (pow.f64 (cbrt.f64 (*.f64 x (+.f64 x -1/3))) 2))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 x (+.f64 x -1/3))) 2) (cbrt.f64 (*.f64 x (+.f64 x -1/3))))
(*.f64 (sqrt.f64 (*.f64 x (+.f64 x -1/3))) (sqrt.f64 (*.f64 x (+.f64 x -1/3))))
(*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (+.f64 x -1/3)))
(*.f64 (-.f64 (pow.f64 x 6) (*.f64 (pow.f64 x 3) 1/27)) (/.f64 1 (+.f64 (pow.f64 x 4) (*.f64 (*.f64 x 1/3) (*.f64 x (+.f64 x 1/3))))))
(*.f64 (-.f64 (pow.f64 x 4) (*.f64 1/9 (*.f64 x x))) (/.f64 1 (*.f64 x (+.f64 x 1/3))))
(*.f64 (+.f64 x (sqrt.f64 (*.f64 x 1/3))) (-.f64 x (sqrt.f64 (*.f64 x 1/3))))
(/.f64 1 (/.f64 (+.f64 (pow.f64 x 4) (*.f64 (*.f64 x 1/3) (*.f64 x (+.f64 x 1/3)))) (-.f64 (pow.f64 x 6) (*.f64 (pow.f64 x 3) 1/27))))
(/.f64 1 (/.f64 (*.f64 x (+.f64 x 1/3)) (-.f64 (pow.f64 x 4) (*.f64 1/9 (*.f64 x x)))))
(/.f64 (-.f64 (pow.f64 x 6) (*.f64 (pow.f64 x 3) 1/27)) (+.f64 (pow.f64 x 4) (*.f64 (*.f64 x 1/3) (*.f64 x (+.f64 x 1/3)))))
(/.f64 (-.f64 (pow.f64 x 4) (*.f64 1/9 (*.f64 x x))) (*.f64 x (+.f64 x 1/3)))
(/.f64 (neg.f64 (-.f64 (pow.f64 x 6) (*.f64 (pow.f64 x 3) 1/27))) (neg.f64 (+.f64 (pow.f64 x 4) (*.f64 (*.f64 x 1/3) (*.f64 x (+.f64 x 1/3))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 x 4) (*.f64 1/9 (*.f64 x x)))) (neg.f64 (*.f64 x (+.f64 x 1/3))))
(/.f64 (+.f64 (pow.f64 x 6) (pow.f64 (*.f64 x -1/3) 3)) (+.f64 (pow.f64 x 4) (-.f64 (*.f64 (*.f64 x -1/3) (*.f64 x -1/3)) (*.f64 (*.f64 x x) (*.f64 x -1/3)))))
(/.f64 (+.f64 (pow.f64 (*.f64 x (+.f64 x -1/3)) 3) (pow.f64 (fma.f64 -1/3 x (*.f64 x 1/3)) 3)) (+.f64 (pow.f64 (*.f64 x (+.f64 x -1/3)) 2) (-.f64 (*.f64 (fma.f64 -1/3 x (*.f64 x 1/3)) (fma.f64 -1/3 x (*.f64 x 1/3))) (*.f64 (*.f64 x (+.f64 x -1/3)) (fma.f64 -1/3 x (*.f64 x 1/3))))))
(/.f64 (-.f64 (pow.f64 x 4) (*.f64 (*.f64 x -1/3) (*.f64 x -1/3))) (-.f64 (*.f64 x x) (*.f64 x -1/3)))
(/.f64 (-.f64 (pow.f64 (*.f64 x (+.f64 x -1/3)) 2) (*.f64 (fma.f64 -1/3 x (*.f64 x 1/3)) (fma.f64 -1/3 x (*.f64 x 1/3)))) (-.f64 (*.f64 x (+.f64 x -1/3)) (fma.f64 -1/3 x (*.f64 x 1/3))))
(pow.f64 (*.f64 x (+.f64 x -1/3)) 1)
(pow.f64 (cbrt.f64 (*.f64 x (+.f64 x -1/3))) 3)
(pow.f64 (pow.f64 (*.f64 x (+.f64 x -1/3)) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 x (+.f64 x -1/3))) 2)
(sqrt.f64 (pow.f64 (*.f64 x (+.f64 x -1/3)) 2))
(log.f64 (pow.f64 (exp.f64 x) (+.f64 x -1/3)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 x (+.f64 x -1/3)))))
(cbrt.f64 (pow.f64 (*.f64 x (+.f64 x -1/3)) 3))
(expm1.f64 (log1p.f64 (*.f64 x (+.f64 x -1/3))))
(exp.f64 (log.f64 (*.f64 x (+.f64 x -1/3))))
(exp.f64 (*.f64 (log.f64 (*.f64 x (+.f64 x -1/3))) 1))
(log1p.f64 (expm1.f64 (*.f64 x (+.f64 x -1/3))))
(fma.f64 1 (*.f64 x x) (*.f64 x -1/3))
(fma.f64 1 (*.f64 x (+.f64 x -1/3)) (fma.f64 -1/3 x (*.f64 x 1/3)))
(fma.f64 x x (*.f64 x -1/3))
(fma.f64 x (+.f64 x -1/3) (fma.f64 -1/3 x (*.f64 x 1/3)))
(fma.f64 (cbrt.f64 (pow.f64 x 4)) (pow.f64 (cbrt.f64 x) 2) (*.f64 x -1/3))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 x (+.f64 x -1/3))) 2) (cbrt.f64 (*.f64 x (+.f64 x -1/3))) (fma.f64 -1/3 x (*.f64 x 1/3)))
(fma.f64 (sqrt.f64 (*.f64 x (+.f64 x -1/3))) (sqrt.f64 (*.f64 x (+.f64 x -1/3))) (fma.f64 -1/3 x (*.f64 x 1/3)))

simplify178.0ms (9.6%)

Algorithm
1×egg-herbie
Rules
1288×times-frac
978×associate-*r*
866×associate-*l*
794×fma-def
632×distribute-rgt-in
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
076412993
1196312181
Stop Event
1×node limit
Counts
595 → 466
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)
3
(+.f64 3 (*.f64 -9 x))
(+.f64 3 (+.f64 (*.f64 -9 x) (*.f64 27 (pow.f64 x 2))))
(+.f64 3 (+.f64 (*.f64 -81 (pow.f64 x 3)) (+.f64 (*.f64 -9 x) (*.f64 27 (pow.f64 x 2)))))
(/.f64 1 x)
(-.f64 (/.f64 1 x) (*.f64 1/3 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (*.f64 1/9 (/.f64 1 (pow.f64 x 3))) (/.f64 1 x)) (*.f64 1/3 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (*.f64 1/9 (/.f64 1 (pow.f64 x 3))) (/.f64 1 x)) (+.f64 (*.f64 1/27 (/.f64 1 (pow.f64 x 4))) (*.f64 1/3 (/.f64 1 (pow.f64 x 2)))))
(/.f64 1 x)
(-.f64 (/.f64 1 x) (*.f64 1/3 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (*.f64 1/9 (/.f64 1 (pow.f64 x 3))) (/.f64 1 x)) (*.f64 1/3 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (*.f64 1/9 (/.f64 1 (pow.f64 x 3))) (/.f64 1 x)) (+.f64 (*.f64 1/27 (/.f64 1 (pow.f64 x 4))) (*.f64 1/3 (/.f64 1 (pow.f64 x 2)))))
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)
-1/3
(-.f64 x 1/3)
(-.f64 x 1/3)
(-.f64 x 1/3)
x
(-.f64 x 1/3)
(-.f64 x 1/3)
(-.f64 x 1/3)
x
(-.f64 x 1/3)
(-.f64 x 1/3)
(-.f64 x 1/3)
-1/9
(-.f64 (pow.f64 x 2) 1/9)
(-.f64 (pow.f64 x 2) 1/9)
(-.f64 (pow.f64 x 2) 1/9)
(pow.f64 x 2)
(-.f64 (pow.f64 x 2) 1/9)
(-.f64 (pow.f64 x 2) 1/9)
(-.f64 (pow.f64 x 2) 1/9)
(pow.f64 x 2)
(-.f64 (pow.f64 x 2) 1/9)
(-.f64 (pow.f64 x 2) 1/9)
(-.f64 (pow.f64 x 2) 1/9)
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 1/3 x)
(*.f64 1/3 x)
(*.f64 1/3 x)
(*.f64 1/3 x)
(*.f64 1/3 x)
(*.f64 1/3 x)
(*.f64 1/3 x)
(*.f64 1/3 x)
(*.f64 1/3 x)
(*.f64 1/3 x)
(*.f64 1/3 x)
(*.f64 1/3 x)
1/9
(+.f64 1/9 (*.f64 -1/3 x))
(+.f64 1/9 (+.f64 (*.f64 -1/3 x) (pow.f64 x 2)))
(+.f64 1/9 (+.f64 (*.f64 -1/3 x) (pow.f64 x 2)))
(pow.f64 x 2)
(+.f64 (*.f64 -1/3 x) (pow.f64 x 2))
(+.f64 1/9 (+.f64 (*.f64 -1/3 x) (pow.f64 x 2)))
(+.f64 1/9 (+.f64 (*.f64 -1/3 x) (pow.f64 x 2)))
(pow.f64 x 2)
(+.f64 (*.f64 -1/3 x) (pow.f64 x 2))
(+.f64 1/9 (+.f64 (*.f64 -1/3 x) (pow.f64 x 2)))
(+.f64 1/9 (+.f64 (*.f64 -1/3 x) (pow.f64 x 2)))
(*.f64 -1/3 x)
(+.f64 (*.f64 -1/3 x) (pow.f64 x 2))
(+.f64 (*.f64 -1/3 x) (pow.f64 x 2))
(+.f64 (*.f64 -1/3 x) (pow.f64 x 2))
(pow.f64 x 2)
(+.f64 (*.f64 -1/3 x) (pow.f64 x 2))
(+.f64 (*.f64 -1/3 x) (pow.f64 x 2))
(+.f64 (*.f64 -1/3 x) (pow.f64 x 2))
(pow.f64 x 2)
(+.f64 (*.f64 -1/3 x) (pow.f64 x 2))
(+.f64 (*.f64 -1/3 x) (pow.f64 x 2))
(+.f64 (*.f64 -1/3 x) (pow.f64 x 2))
(+.f64 1 (+.f64 x -2/3))
(+.f64 1 (*.f64 (+.f64 x -2/3) 1))
(+.f64 x 1/3)
(+.f64 1/3 x)
(+.f64 1/3 (*.f64 x 1))
(+.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 (*.f64 (/.f64 1 (+.f64 x -1/3)) (*.f64 x x)) (*.f64 (/.f64 1 (+.f64 x -1/3)) -1/9))
(+.f64 (*.f64 (*.f64 x x) (/.f64 1 (+.f64 x -1/3))) (*.f64 -1/9 (/.f64 1 (+.f64 x -1/3))))
(+.f64 (*.f64 x 1) 1/3)
(*.f64 1 (+.f64 x 1/3))
(*.f64 (+.f64 x 1/3) 1)
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(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 (pow.f64 x 3) 1/27)) 2) (sqrt.f64 (fma.f64 x (+.f64 x -1/3) 1/9))) (/.f64 (cbrt.f64 (+.f64 (pow.f64 x 3) 1/27)) (sqrt.f64 (fma.f64 x (+.f64 x -1/3) 1/9))))
(*.f64 (/.f64 (sqrt.f64 (+.f64 (pow.f64 x 3) 1/27)) 1) (/.f64 (sqrt.f64 (+.f64 (pow.f64 x 3) 1/27)) (fma.f64 x (+.f64 x -1/3) 1/9)))
(*.f64 (/.f64 (sqrt.f64 (+.f64 (pow.f64 x 3) 1/27)) (pow.f64 (cbrt.f64 (fma.f64 x (+.f64 x -1/3) 1/9)) 2)) (/.f64 (sqrt.f64 (+.f64 (pow.f64 x 3) 1/27)) (cbrt.f64 (fma.f64 x (+.f64 x -1/3) 1/9))))
(*.f64 (+.f64 (sqrt.f64 (+.f64 x 4/3)) 1) (-.f64 (sqrt.f64 (+.f64 x 4/3)) 1))
(*.f64 (*.f64 (/.f64 1 (+.f64 x -1/3)) 1) (fma.f64 x x -1/9))
(*.f64 (*.f64 (/.f64 1 (+.f64 x -1/3)) (pow.f64 (cbrt.f64 (fma.f64 x x -1/9)) 2)) (cbrt.f64 (fma.f64 x x -1/9)))
(*.f64 (*.f64 (/.f64 1 (+.f64 x -1/3)) (sqrt.f64 (fma.f64 x x -1/9))) (sqrt.f64 (fma.f64 x x -1/9)))
(*.f64 (/.f64 (fma.f64 x x -1/9) (+.f64 (pow.f64 x 3) -1/27)) (fma.f64 x x (-.f64 1/9 (*.f64 x -1/3))))
(*.f64 (/.f64 (fma.f64 x x -1/9) (fma.f64 x x -1/9)) (+.f64 x 1/3))
(*.f64 (/.f64 1 (+.f64 1/3 (neg.f64 x))) (neg.f64 (fma.f64 x x -1/9)))
(*.f64 (/.f64 (+.f64 (pow.f64 x 3) 1/27) (+.f64 1/729 (pow.f64 (*.f64 x (+.f64 x -1/3)) 3))) (+.f64 1/81 (*.f64 (*.f64 x (+.f64 x -1/3)) (-.f64 (*.f64 x (+.f64 x -1/3)) 1/9))))
(*.f64 (/.f64 (+.f64 (pow.f64 x 3) 1/27) (-.f64 1/81 (pow.f64 (*.f64 x (+.f64 x -1/3)) 2))) (-.f64 1/9 (*.f64 x (+.f64 x -1/3))))
(pow.f64 (+.f64 x 1/3) 1)
(pow.f64 (/.f64 1 (+.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)
(neg.f64 (/.f64 (+.f64 (pow.f64 x 3) 1/27) (neg.f64 (fma.f64 x (+.f64 x -1/3) 1/9))))
(sqrt.f64 (pow.f64 (+.f64 x 1/3) 2))
(log.f64 (exp.f64 (+.f64 x 1/3)))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 x 1/3))))
(cbrt.f64 (pow.f64 (+.f64 x 1/3) 3))
(expm1.f64 (log1p.f64 (+.f64 x 1/3)))
(exp.f64 (log1p.f64 (+.f64 x -2/3)))
(exp.f64 (*.f64 (neg.f64 (log1p.f64 (+.f64 x -2/3))) -1))
(exp.f64 (*.f64 (log1p.f64 (+.f64 x -2/3)) 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 (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 (+.f64 x 4/3)) (sqrt.f64 (+.f64 x 4/3)) -1)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) 1/3)
(-.f64 (exp.f64 (log1p.f64 (*.f64 x 1/3))) 1)
(pow.f64 (*.f64 x 1/3) 1)
(pow.f64 (cbrt.f64 (*.f64 x 1/3)) 3)
(pow.f64 (sqrt.f64 (*.f64 x 1/3)) 2)
(pow.f64 (*.f64 (pow.f64 x 3) 1/27) 1/3)
(sqrt.f64 (*.f64 1/9 (*.f64 x x)))
(log.f64 (pow.f64 (exp.f64 1/3) x))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 x 1/3))))
(cbrt.f64 (*.f64 (pow.f64 x 3) 1/27))
(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)))
(-.f64 (*.f64 x x) (-.f64 (*.f64 x 1/3) 1/9))
(-.f64 (+.f64 1/9 (*.f64 x x)) (*.f64 x 1/3))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 x (+.f64 x -1/3) 1/9))) 1)
(-.f64 (/.f64 1/81 (-.f64 1/9 (*.f64 x (+.f64 x -1/3)))) (/.f64 (pow.f64 (*.f64 x (+.f64 x -1/3)) 2) (-.f64 1/9 (*.f64 x (+.f64 x -1/3)))))
(*.f64 1 (fma.f64 x (+.f64 x -1/3) 1/9))
(*.f64 (cbrt.f64 (fma.f64 x (+.f64 x -1/3) 1/9)) (pow.f64 (cbrt.f64 (fma.f64 x (+.f64 x -1/3) 1/9)) 2))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 x (+.f64 x -1/3) 1/9)) 2) (cbrt.f64 (fma.f64 x (+.f64 x -1/3) 1/9)))
(*.f64 (sqrt.f64 (fma.f64 x (+.f64 x -1/3) 1/9)) (sqrt.f64 (fma.f64 x (+.f64 x -1/3) 1/9)))
(*.f64 (+.f64 1/729 (pow.f64 (*.f64 x (+.f64 x -1/3)) 3)) (/.f64 1 (+.f64 1/81 (*.f64 (*.f64 x (+.f64 x -1/3)) (-.f64 (*.f64 x (+.f64 x -1/3)) 1/9)))))
(*.f64 (-.f64 1/81 (pow.f64 (*.f64 x (+.f64 x -1/3)) 2)) (/.f64 1 (-.f64 1/9 (*.f64 x (+.f64 x -1/3)))))
(/.f64 1 (/.f64 (+.f64 1/81 (*.f64 (*.f64 x (+.f64 x -1/3)) (-.f64 (*.f64 x (+.f64 x -1/3)) 1/9))) (+.f64 1/729 (pow.f64 (*.f64 x (+.f64 x -1/3)) 3))))
(/.f64 1 (/.f64 (-.f64 1/9 (*.f64 x (+.f64 x -1/3))) (-.f64 1/81 (pow.f64 (*.f64 x (+.f64 x -1/3)) 2))))
(/.f64 (+.f64 1/729 (pow.f64 (*.f64 x (+.f64 x -1/3)) 3)) (+.f64 1/81 (*.f64 (*.f64 x (+.f64 x -1/3)) (-.f64 (*.f64 x (+.f64 x -1/3)) 1/9))))
(/.f64 (+.f64 1/729 (pow.f64 (*.f64 x (+.f64 x -1/3)) 3)) (+.f64 (pow.f64 (*.f64 x (+.f64 x -1/3)) 2) (-.f64 1/81 (*.f64 (*.f64 x (+.f64 x -1/3)) 1/9))))
(/.f64 (-.f64 1/81 (pow.f64 (*.f64 x (+.f64 x -1/3)) 2)) (-.f64 1/9 (*.f64 x (+.f64 x -1/3))))
(/.f64 (neg.f64 (+.f64 1/729 (pow.f64 (*.f64 x (+.f64 x -1/3)) 3))) (neg.f64 (+.f64 1/81 (*.f64 (*.f64 x (+.f64 x -1/3)) (-.f64 (*.f64 x (+.f64 x -1/3)) 1/9)))))
(/.f64 (neg.f64 (-.f64 1/81 (pow.f64 (*.f64 x (+.f64 x -1/3)) 2))) (neg.f64 (-.f64 1/9 (*.f64 x (+.f64 x -1/3)))))
(/.f64 (+.f64 (pow.f64 x 6) (pow.f64 (+.f64 1/9 (*.f64 x -1/3)) 3)) (+.f64 (pow.f64 x 4) (-.f64 (*.f64 (+.f64 1/9 (*.f64 x -1/3)) (+.f64 1/9 (*.f64 x -1/3))) (*.f64 (*.f64 x x) (+.f64 1/9 (*.f64 x -1/3))))))
(/.f64 (-.f64 (pow.f64 (+.f64 1/9 (*.f64 x x)) 3) (*.f64 (pow.f64 x 3) 1/27)) (+.f64 (*.f64 (+.f64 1/9 (*.f64 x x)) (+.f64 1/9 (*.f64 x x))) (+.f64 (*.f64 1/9 (*.f64 x x)) (*.f64 (+.f64 1/9 (*.f64 x x)) (*.f64 x 1/3)))))
(/.f64 (-.f64 (pow.f64 (*.f64 x (+.f64 x -1/3)) 2) 1/81) (-.f64 (*.f64 x (+.f64 x -1/3)) 1/9))
(/.f64 (-.f64 (pow.f64 x 4) (*.f64 (+.f64 1/9 (*.f64 x -1/3)) (+.f64 1/9 (*.f64 x -1/3)))) (-.f64 (*.f64 x x) (+.f64 1/9 (*.f64 x -1/3))))
(/.f64 (-.f64 (*.f64 (+.f64 1/9 (*.f64 x x)) (+.f64 1/9 (*.f64 x x))) (*.f64 1/9 (*.f64 x x))) (+.f64 (+.f64 1/9 (*.f64 x x)) (*.f64 x 1/3)))
(pow.f64 (fma.f64 x (+.f64 x -1/3) 1/9) 1)
(pow.f64 (cbrt.f64 (fma.f64 x (+.f64 x -1/3) 1/9)) 3)
(pow.f64 (pow.f64 (fma.f64 x (+.f64 x -1/3) 1/9) 3) 1/3)
(pow.f64 (sqrt.f64 (fma.f64 x (+.f64 x -1/3) 1/9)) 2)
(sqrt.f64 (pow.f64 (fma.f64 x (+.f64 x -1/3) 1/9) 2))
(log.f64 (exp.f64 (fma.f64 x (+.f64 x -1/3) 1/9)))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 x (+.f64 x -1/3) 1/9))))
(cbrt.f64 (pow.f64 (fma.f64 x (+.f64 x -1/3) 1/9) 3))
(expm1.f64 (log1p.f64 (fma.f64 x (+.f64 x -1/3) 1/9)))
(exp.f64 (log.f64 (fma.f64 x (+.f64 x -1/3) 1/9)))
(exp.f64 (*.f64 (log.f64 (fma.f64 x (+.f64 x -1/3) 1/9)) 1))
(log1p.f64 (expm1.f64 (fma.f64 x (+.f64 x -1/3) 1/9)))
(fma.f64 1 (*.f64 x x) (+.f64 1/9 (*.f64 x -1/3)))
(fma.f64 1 (*.f64 x (+.f64 x -1/3)) 1/9)
(fma.f64 x x (+.f64 1/9 (*.f64 x -1/3)))
(fma.f64 x (+.f64 x -1/3) 1/9)
(fma.f64 (cbrt.f64 (pow.f64 x 4)) (pow.f64 (cbrt.f64 x) 2) (+.f64 1/9 (*.f64 x -1/3)))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 x (+.f64 x -1/3))) 2) (cbrt.f64 (*.f64 x (+.f64 x -1/3))) 1/9)
(fma.f64 (sqrt.f64 (*.f64 x (+.f64 x -1/3))) (sqrt.f64 (*.f64 x (+.f64 x -1/3))) 1/9)
(+.f64 (*.f64 x x) (*.f64 x -1/3))
(+.f64 (*.f64 x x) (+.f64 (*.f64 x -1/3) (fma.f64 -1/3 x (*.f64 x 1/3))))
(+.f64 (*.f64 x (+.f64 x -1/3)) (fma.f64 -1/3 x (*.f64 x 1/3)))
(+.f64 (*.f64 x (+.f64 x -1/3)) (fma.f64 (neg.f64 x) 1/3 (*.f64 x 1/3)))
(+.f64 (*.f64 x (+.f64 x -1/3)) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 x 1/3))) (pow.f64 (cbrt.f64 (*.f64 x 1/3)) 2) (*.f64 x 1/3)))
(+.f64 (*.f64 x (+.f64 x -1/3)) (fma.f64 (neg.f64 (sqrt.f64 (*.f64 x 1/3))) (sqrt.f64 (*.f64 x 1/3)) (*.f64 x 1/3)))
(+.f64 (*.f64 x (+.f64 x -1/3)) (+.f64 (fma.f64 -1/3 x (*.f64 x 1/3)) (fma.f64 -1/3 x (*.f64 x 1/3))))
(+.f64 (fma.f64 -1/3 x (*.f64 x 1/3)) (*.f64 x (+.f64 x -1/3)))
(+.f64 (*.f64 x -1/3) (*.f64 x x))
(+.f64 (fma.f64 1 (*.f64 x x) (neg.f64 (*.f64 (*.f64 x 1/3) 1))) (fma.f64 (*.f64 x -1/3) 1 (*.f64 (*.f64 x 1/3) 1)))
(+.f64 (fma.f64 x x (neg.f64 (*.f64 (*.f64 x 1/3) 1))) (fma.f64 (*.f64 x -1/3) 1 (*.f64 (*.f64 x 1/3) 1)))
(+.f64 (fma.f64 (cbrt.f64 (pow.f64 x 4)) (pow.f64 (cbrt.f64 x) 2) (neg.f64 (*.f64 (*.f64 x 1/3) 1))) (fma.f64 (*.f64 x -1/3) 1 (*.f64 (*.f64 x 1/3) 1)))
(+.f64 (*.f64 (*.f64 x x) 1) (*.f64 (*.f64 x -1/3) 1))
(+.f64 (*.f64 (*.f64 x (+.f64 x -1/3)) 1) (*.f64 (fma.f64 -1/3 x (*.f64 x 1/3)) 1))
(*.f64 1 (*.f64 x (+.f64 x -1/3)))
(*.f64 x (+.f64 x -1/3))
(*.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) (+.f64 x -1/3)))
(*.f64 (cbrt.f64 (*.f64 x (+.f64 x -1/3))) (pow.f64 (cbrt.f64 (*.f64 x (+.f64 x -1/3))) 2))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 x (+.f64 x -1/3))) 2) (cbrt.f64 (*.f64 x (+.f64 x -1/3))))
(*.f64 (sqrt.f64 (*.f64 x (+.f64 x -1/3))) (sqrt.f64 (*.f64 x (+.f64 x -1/3))))
(*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (+.f64 x -1/3)))
(*.f64 (-.f64 (pow.f64 x 6) (*.f64 (pow.f64 x 3) 1/27)) (/.f64 1 (+.f64 (pow.f64 x 4) (*.f64 (*.f64 x 1/3) (*.f64 x (+.f64 x 1/3))))))
(*.f64 (-.f64 (pow.f64 x 4) (*.f64 1/9 (*.f64 x x))) (/.f64 1 (*.f64 x (+.f64 x 1/3))))
(*.f64 (+.f64 x (sqrt.f64 (*.f64 x 1/3))) (-.f64 x (sqrt.f64 (*.f64 x 1/3))))
(/.f64 1 (/.f64 (+.f64 (pow.f64 x 4) (*.f64 (*.f64 x 1/3) (*.f64 x (+.f64 x 1/3)))) (-.f64 (pow.f64 x 6) (*.f64 (pow.f64 x 3) 1/27))))
(/.f64 1 (/.f64 (*.f64 x (+.f64 x 1/3)) (-.f64 (pow.f64 x 4) (*.f64 1/9 (*.f64 x x)))))
(/.f64 (-.f64 (pow.f64 x 6) (*.f64 (pow.f64 x 3) 1/27)) (+.f64 (pow.f64 x 4) (*.f64 (*.f64 x 1/3) (*.f64 x (+.f64 x 1/3)))))
(/.f64 (-.f64 (pow.f64 x 4) (*.f64 1/9 (*.f64 x x))) (*.f64 x (+.f64 x 1/3)))
(/.f64 (neg.f64 (-.f64 (pow.f64 x 6) (*.f64 (pow.f64 x 3) 1/27))) (neg.f64 (+.f64 (pow.f64 x 4) (*.f64 (*.f64 x 1/3) (*.f64 x (+.f64 x 1/3))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 x 4) (*.f64 1/9 (*.f64 x x)))) (neg.f64 (*.f64 x (+.f64 x 1/3))))
(/.f64 (+.f64 (pow.f64 x 6) (pow.f64 (*.f64 x -1/3) 3)) (+.f64 (pow.f64 x 4) (-.f64 (*.f64 (*.f64 x -1/3) (*.f64 x -1/3)) (*.f64 (*.f64 x x) (*.f64 x -1/3)))))
(/.f64 (+.f64 (pow.f64 (*.f64 x (+.f64 x -1/3)) 3) (pow.f64 (fma.f64 -1/3 x (*.f64 x 1/3)) 3)) (+.f64 (pow.f64 (*.f64 x (+.f64 x -1/3)) 2) (-.f64 (*.f64 (fma.f64 -1/3 x (*.f64 x 1/3)) (fma.f64 -1/3 x (*.f64 x 1/3))) (*.f64 (*.f64 x (+.f64 x -1/3)) (fma.f64 -1/3 x (*.f64 x 1/3))))))
(/.f64 (-.f64 (pow.f64 x 4) (*.f64 (*.f64 x -1/3) (*.f64 x -1/3))) (-.f64 (*.f64 x x) (*.f64 x -1/3)))
(/.f64 (-.f64 (pow.f64 (*.f64 x (+.f64 x -1/3)) 2) (*.f64 (fma.f64 -1/3 x (*.f64 x 1/3)) (fma.f64 -1/3 x (*.f64 x 1/3)))) (-.f64 (*.f64 x (+.f64 x -1/3)) (fma.f64 -1/3 x (*.f64 x 1/3))))
(pow.f64 (*.f64 x (+.f64 x -1/3)) 1)
(pow.f64 (cbrt.f64 (*.f64 x (+.f64 x -1/3))) 3)
(pow.f64 (pow.f64 (*.f64 x (+.f64 x -1/3)) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 x (+.f64 x -1/3))) 2)
(sqrt.f64 (pow.f64 (*.f64 x (+.f64 x -1/3)) 2))
(log.f64 (pow.f64 (exp.f64 x) (+.f64 x -1/3)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 x (+.f64 x -1/3)))))
(cbrt.f64 (pow.f64 (*.f64 x (+.f64 x -1/3)) 3))
(expm1.f64 (log1p.f64 (*.f64 x (+.f64 x -1/3))))
(exp.f64 (log.f64 (*.f64 x (+.f64 x -1/3))))
(exp.f64 (*.f64 (log.f64 (*.f64 x (+.f64 x -1/3))) 1))
(log1p.f64 (expm1.f64 (*.f64 x (+.f64 x -1/3))))
(fma.f64 1 (*.f64 x x) (*.f64 x -1/3))
(fma.f64 1 (*.f64 x (+.f64 x -1/3)) (fma.f64 -1/3 x (*.f64 x 1/3)))
(fma.f64 x x (*.f64 x -1/3))
(fma.f64 x (+.f64 x -1/3) (fma.f64 -1/3 x (*.f64 x 1/3)))
(fma.f64 (cbrt.f64 (pow.f64 x 4)) (pow.f64 (cbrt.f64 x) 2) (*.f64 x -1/3))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 x (+.f64 x -1/3))) 2) (cbrt.f64 (*.f64 x (+.f64 x -1/3))) (fma.f64 -1/3 x (*.f64 x 1/3)))
(fma.f64 (sqrt.f64 (*.f64 x (+.f64 x -1/3))) (sqrt.f64 (*.f64 x (+.f64 x -1/3))) (fma.f64 -1/3 x (*.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)
3
(+.f64 3 (*.f64 -9 x))
(+.f64 3 (*.f64 x -9))
(fma.f64 x -9 3)
(+.f64 3 (+.f64 (*.f64 -9 x) (*.f64 27 (pow.f64 x 2))))
(+.f64 3 (fma.f64 -9 x (*.f64 27 (*.f64 x x))))
(+.f64 (fma.f64 x -9 3) (*.f64 27 (*.f64 x x)))
(+.f64 3 (+.f64 (*.f64 -81 (pow.f64 x 3)) (+.f64 (*.f64 -9 x) (*.f64 27 (pow.f64 x 2)))))
(+.f64 3 (fma.f64 -81 (pow.f64 x 3) (fma.f64 -9 x (*.f64 27 (*.f64 x x)))))
(+.f64 3 (fma.f64 -81 (pow.f64 x 3) (fma.f64 x -9 (*.f64 27 (*.f64 x x)))))
(/.f64 1 x)
(-.f64 (/.f64 1 x) (*.f64 1/3 (/.f64 1 (pow.f64 x 2))))
(-.f64 (/.f64 1 x) (/.f64 1/3 (*.f64 x x)))
(+.f64 (/.f64 1 x) (/.f64 -1/3 (*.f64 x x)))
(-.f64 (+.f64 (*.f64 1/9 (/.f64 1 (pow.f64 x 3))) (/.f64 1 x)) (*.f64 1/3 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (/.f64 1 x) (/.f64 1/9 (pow.f64 x 3))) (/.f64 1/3 (*.f64 x x)))
(+.f64 (/.f64 1 x) (+.f64 (/.f64 1/9 (pow.f64 x 3)) (/.f64 -1/3 (*.f64 x x))))
(-.f64 (+.f64 (*.f64 1/9 (/.f64 1 (pow.f64 x 3))) (/.f64 1 x)) (+.f64 (*.f64 1/27 (/.f64 1 (pow.f64 x 4))) (*.f64 1/3 (/.f64 1 (pow.f64 x 2)))))
(-.f64 (+.f64 (/.f64 1 x) (/.f64 1/9 (pow.f64 x 3))) (+.f64 (/.f64 1/3 (*.f64 x x)) (/.f64 1/27 (pow.f64 x 4))))
(+.f64 (/.f64 1/9 (pow.f64 x 3)) (-.f64 (/.f64 1 x) (+.f64 (/.f64 1/3 (*.f64 x x)) (/.f64 1/27 (pow.f64 x 4)))))
(/.f64 1 x)
(-.f64 (/.f64 1 x) (*.f64 1/3 (/.f64 1 (pow.f64 x 2))))
(-.f64 (/.f64 1 x) (/.f64 1/3 (*.f64 x x)))
(+.f64 (/.f64 1 x) (/.f64 -1/3 (*.f64 x x)))
(-.f64 (+.f64 (*.f64 1/9 (/.f64 1 (pow.f64 x 3))) (/.f64 1 x)) (*.f64 1/3 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (/.f64 1 x) (/.f64 1/9 (pow.f64 x 3))) (/.f64 1/3 (*.f64 x x)))
(+.f64 (/.f64 1 x) (+.f64 (/.f64 1/9 (pow.f64 x 3)) (/.f64 -1/3 (*.f64 x x))))
(-.f64 (+.f64 (*.f64 1/9 (/.f64 1 (pow.f64 x 3))) (/.f64 1 x)) (+.f64 (*.f64 1/27 (/.f64 1 (pow.f64 x 4))) (*.f64 1/3 (/.f64 1 (pow.f64 x 2)))))
(-.f64 (+.f64 (/.f64 1 x) (/.f64 1/9 (pow.f64 x 3))) (+.f64 (/.f64 1/3 (*.f64 x x)) (/.f64 1/27 (pow.f64 x 4))))
(+.f64 (/.f64 1/9 (pow.f64 x 3)) (-.f64 (/.f64 1 x) (+.f64 (/.f64 1/3 (*.f64 x x)) (/.f64 1/27 (pow.f64 x 4)))))
1/3
(+.f64 1/3 x)
(+.f64 1/3 x)
(+.f64 1/3 x)
x
(+.f64 1/3 x)
(+.f64 1/3 x)
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x
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x
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x
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x
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(*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (+.f64 x -1/3)))
(*.f64 x (+.f64 x -1/3))
(*.f64 (-.f64 (pow.f64 x 6) (*.f64 (pow.f64 x 3) 1/27)) (/.f64 1 (+.f64 (pow.f64 x 4) (*.f64 (*.f64 x 1/3) (*.f64 x (+.f64 x 1/3))))))
(*.f64 (-.f64 (pow.f64 x 6) (*.f64 (pow.f64 x 3) 1/27)) (/.f64 1 (+.f64 (pow.f64 x 4) (*.f64 x (*.f64 1/3 (*.f64 x (+.f64 1/3 x)))))))
(/.f64 (fma.f64 (pow.f64 x 3) -1/27 (pow.f64 x 6)) (fma.f64 (*.f64 1/3 x) (*.f64 x (+.f64 1/3 x)) (pow.f64 x 4)))
(*.f64 (-.f64 (pow.f64 x 4) (*.f64 1/9 (*.f64 x x))) (/.f64 1 (*.f64 x (+.f64 x 1/3))))
(*.f64 (+.f64 (pow.f64 x 4) (*.f64 -1/9 (*.f64 x x))) (/.f64 1 (*.f64 x (+.f64 1/3 x))))
(/.f64 (*.f64 (*.f64 x x) (fma.f64 x x -1/9)) (*.f64 x (+.f64 1/3 x)))
(*.f64 (+.f64 x (sqrt.f64 (*.f64 x 1/3))) (-.f64 x (sqrt.f64 (*.f64 x 1/3))))
(*.f64 x (+.f64 x -1/3))
(/.f64 1 (/.f64 (+.f64 (pow.f64 x 4) (*.f64 (*.f64 x 1/3) (*.f64 x (+.f64 x 1/3)))) (-.f64 (pow.f64 x 6) (*.f64 (pow.f64 x 3) 1/27))))
(*.f64 (-.f64 (pow.f64 x 6) (*.f64 (pow.f64 x 3) 1/27)) (/.f64 1 (+.f64 (pow.f64 x 4) (*.f64 x (*.f64 1/3 (*.f64 x (+.f64 1/3 x)))))))
(/.f64 (fma.f64 (pow.f64 x 3) -1/27 (pow.f64 x 6)) (fma.f64 (*.f64 1/3 x) (*.f64 x (+.f64 1/3 x)) (pow.f64 x 4)))
(/.f64 1 (/.f64 (*.f64 x (+.f64 x 1/3)) (-.f64 (pow.f64 x 4) (*.f64 1/9 (*.f64 x x)))))
(*.f64 (+.f64 (pow.f64 x 4) (*.f64 -1/9 (*.f64 x x))) (/.f64 1 (*.f64 x (+.f64 1/3 x))))
(/.f64 (*.f64 (*.f64 x x) (fma.f64 x x -1/9)) (*.f64 x (+.f64 1/3 x)))
(/.f64 (-.f64 (pow.f64 x 6) (*.f64 (pow.f64 x 3) 1/27)) (+.f64 (pow.f64 x 4) (*.f64 (*.f64 x 1/3) (*.f64 x (+.f64 x 1/3)))))
(*.f64 (-.f64 (pow.f64 x 6) (*.f64 (pow.f64 x 3) 1/27)) (/.f64 1 (+.f64 (pow.f64 x 4) (*.f64 x (*.f64 1/3 (*.f64 x (+.f64 1/3 x)))))))
(/.f64 (fma.f64 (pow.f64 x 3) -1/27 (pow.f64 x 6)) (fma.f64 (*.f64 1/3 x) (*.f64 x (+.f64 1/3 x)) (pow.f64 x 4)))
(/.f64 (-.f64 (pow.f64 x 4) (*.f64 1/9 (*.f64 x x))) (*.f64 x (+.f64 x 1/3)))
(*.f64 (+.f64 (pow.f64 x 4) (*.f64 -1/9 (*.f64 x x))) (/.f64 1 (*.f64 x (+.f64 1/3 x))))
(/.f64 (*.f64 (*.f64 x x) (fma.f64 x x -1/9)) (*.f64 x (+.f64 1/3 x)))
(/.f64 (neg.f64 (-.f64 (pow.f64 x 6) (*.f64 (pow.f64 x 3) 1/27))) (neg.f64 (+.f64 (pow.f64 x 4) (*.f64 (*.f64 x 1/3) (*.f64 x (+.f64 x 1/3))))))
(neg.f64 (/.f64 (-.f64 (pow.f64 x 6) (*.f64 (pow.f64 x 3) 1/27)) (neg.f64 (+.f64 (pow.f64 x 4) (*.f64 x (*.f64 1/3 (*.f64 x (+.f64 1/3 x))))))))
(*.f64 1 (/.f64 (fma.f64 (pow.f64 x 3) -1/27 (pow.f64 x 6)) (fma.f64 (*.f64 1/3 x) (*.f64 x (+.f64 1/3 x)) (pow.f64 x 4))))
(/.f64 (neg.f64 (-.f64 (pow.f64 x 4) (*.f64 1/9 (*.f64 x x)))) (neg.f64 (*.f64 x (+.f64 x 1/3))))
(neg.f64 (/.f64 (+.f64 (pow.f64 x 4) (*.f64 -1/9 (*.f64 x x))) (*.f64 x (+.f64 (neg.f64 x) -1/3))))
(/.f64 (neg.f64 (*.f64 (*.f64 x x) (fma.f64 x x -1/9))) (*.f64 x (-.f64 -1/3 x)))
(/.f64 (+.f64 (pow.f64 x 6) (pow.f64 (*.f64 x -1/3) 3)) (+.f64 (pow.f64 x 4) (-.f64 (*.f64 (*.f64 x -1/3) (*.f64 x -1/3)) (*.f64 (*.f64 x x) (*.f64 x -1/3)))))
(/.f64 (+.f64 (pow.f64 x 6) (*.f64 (pow.f64 x 3) -1/27)) (+.f64 (pow.f64 x 4) (-.f64 (*.f64 1/9 (*.f64 x x)) (*.f64 (pow.f64 x 3) -1/3))))
(/.f64 (fma.f64 (pow.f64 x 3) -1/27 (pow.f64 x 6)) (+.f64 (pow.f64 x 4) (*.f64 (*.f64 x x) (fma.f64 1/3 x 1/9))))
(/.f64 (+.f64 (pow.f64 (*.f64 x (+.f64 x -1/3)) 3) (pow.f64 (fma.f64 -1/3 x (*.f64 x 1/3)) 3)) (+.f64 (pow.f64 (*.f64 x (+.f64 x -1/3)) 2) (-.f64 (*.f64 (fma.f64 -1/3 x (*.f64 x 1/3)) (fma.f64 -1/3 x (*.f64 x 1/3))) (*.f64 (*.f64 x (+.f64 x -1/3)) (fma.f64 -1/3 x (*.f64 x 1/3))))))
(/.f64 (+.f64 (pow.f64 (*.f64 x (+.f64 x -1/3)) 3) (pow.f64 (fma.f64 -1/3 x (*.f64 1/3 x)) 3)) (+.f64 (pow.f64 (*.f64 x (+.f64 x -1/3)) 2) (*.f64 (fma.f64 -1/3 x (*.f64 1/3 x)) (-.f64 (fma.f64 -1/3 x (*.f64 1/3 x)) (*.f64 x (+.f64 x -1/3))))))
(/.f64 (+.f64 (pow.f64 (*.f64 x (+.f64 x -1/3)) 3) (pow.f64 (*.f64 x 0) 3)) (fma.f64 (*.f64 x 0) (-.f64 (*.f64 x 0) (*.f64 x (+.f64 x -1/3))) (pow.f64 (*.f64 x (+.f64 x -1/3)) 2)))
(/.f64 (-.f64 (pow.f64 x 4) (*.f64 (*.f64 x -1/3) (*.f64 x -1/3))) (-.f64 (*.f64 x x) (*.f64 x -1/3)))
(*.f64 (+.f64 (pow.f64 x 4) (*.f64 -1/9 (*.f64 x x))) (/.f64 1 (*.f64 x (+.f64 1/3 x))))
(/.f64 (*.f64 (*.f64 x x) (fma.f64 x x -1/9)) (*.f64 x (+.f64 1/3 x)))
(/.f64 (-.f64 (pow.f64 (*.f64 x (+.f64 x -1/3)) 2) (*.f64 (fma.f64 -1/3 x (*.f64 x 1/3)) (fma.f64 -1/3 x (*.f64 x 1/3)))) (-.f64 (*.f64 x (+.f64 x -1/3)) (fma.f64 -1/3 x (*.f64 x 1/3))))
(/.f64 (-.f64 (pow.f64 (*.f64 x (+.f64 x -1/3)) 2) (*.f64 (fma.f64 -1/3 x (*.f64 1/3 x)) (fma.f64 -1/3 x (*.f64 1/3 x)))) (-.f64 (*.f64 x (+.f64 x -1/3)) (fma.f64 -1/3 x (*.f64 1/3 x))))
(/.f64 (-.f64 (pow.f64 (*.f64 x (+.f64 x -1/3)) 2) (*.f64 (*.f64 x 0) (*.f64 x 0))) (fma.f64 x (+.f64 x -1/3) (*.f64 x 0)))
(pow.f64 (*.f64 x (+.f64 x -1/3)) 1)
(*.f64 x (+.f64 x -1/3))
(pow.f64 (cbrt.f64 (*.f64 x (+.f64 x -1/3))) 3)
(*.f64 x (+.f64 x -1/3))
(pow.f64 (pow.f64 (*.f64 x (+.f64 x -1/3)) 3) 1/3)
(*.f64 x (+.f64 x -1/3))
(pow.f64 (sqrt.f64 (*.f64 x (+.f64 x -1/3))) 2)
(*.f64 x (+.f64 x -1/3))
(sqrt.f64 (pow.f64 (*.f64 x (+.f64 x -1/3)) 2))
(fabs.f64 (*.f64 x (+.f64 x -1/3)))
(log.f64 (pow.f64 (exp.f64 x) (+.f64 x -1/3)))
(*.f64 x (+.f64 x -1/3))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 x (+.f64 x -1/3)))))
(*.f64 x (+.f64 x -1/3))
(cbrt.f64 (pow.f64 (*.f64 x (+.f64 x -1/3)) 3))
(*.f64 x (+.f64 x -1/3))
(expm1.f64 (log1p.f64 (*.f64 x (+.f64 x -1/3))))
(*.f64 x (+.f64 x -1/3))
(exp.f64 (log.f64 (*.f64 x (+.f64 x -1/3))))
(*.f64 x (+.f64 x -1/3))
(exp.f64 (*.f64 (log.f64 (*.f64 x (+.f64 x -1/3))) 1))
(*.f64 x (+.f64 x -1/3))
(log1p.f64 (expm1.f64 (*.f64 x (+.f64 x -1/3))))
(*.f64 x (+.f64 x -1/3))
(fma.f64 1 (*.f64 x x) (*.f64 x -1/3))
(*.f64 x (+.f64 x -1/3))
(fma.f64 1 (*.f64 x (+.f64 x -1/3)) (fma.f64 -1/3 x (*.f64 x 1/3)))
(fma.f64 x (+.f64 x -1/3) (fma.f64 -1/3 x (*.f64 1/3 x)))
(fma.f64 x (+.f64 x -1/3) (*.f64 x 0))
(fma.f64 x x (*.f64 x -1/3))
(*.f64 x (+.f64 x -1/3))
(fma.f64 x (+.f64 x -1/3) (fma.f64 -1/3 x (*.f64 x 1/3)))
(fma.f64 x (+.f64 x -1/3) (fma.f64 -1/3 x (*.f64 1/3 x)))
(fma.f64 x (+.f64 x -1/3) (*.f64 x 0))
(fma.f64 (cbrt.f64 (pow.f64 x 4)) (pow.f64 (cbrt.f64 x) 2) (*.f64 x -1/3))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 x (+.f64 x -1/3))) 2) (cbrt.f64 (*.f64 x (+.f64 x -1/3))) (fma.f64 -1/3 x (*.f64 x 1/3)))
(fma.f64 x (+.f64 x -1/3) (fma.f64 -1/3 x (*.f64 1/3 x)))
(fma.f64 x (+.f64 x -1/3) (*.f64 x 0))
(fma.f64 (sqrt.f64 (*.f64 x (+.f64 x -1/3))) (sqrt.f64 (*.f64 x (+.f64 x -1/3))) (fma.f64 -1/3 x (*.f64 x 1/3)))
(fma.f64 x (+.f64 x -1/3) (fma.f64 -1/3 x (*.f64 1/3 x)))
(fma.f64 x (+.f64 x -1/3) (*.f64 x 0))

eval221.0ms (12%)

Compiler

Compiled 8770 to 6758 computations (22.9% saved)

prune75.0ms (4%)

Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New5021503
Fresh022
Picked303
Done011
Total5054509
Accuracy
100.0%
Counts
509 → 4
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶99.2%
(+.f64 (+.f64 x -2/3) 1)
✓100.0%
(+.f64 x 1/3)
48.5%
x
53.3%
1/3
▶99.2%
(+.f64 (+.f64 x -2/3) 1)
✓100.0%
(+.f64 x 1/3)
48.5%
x
53.3%
1/3
Compiler

Compiled 28 to 22 computations (21.4% saved)

localize21.0ms (1.2%)

Localize:

Found 2 expressions with local error:

NewAccuracyProgram
✓100.0%
(+.f64 x -2/3)
✓99.2%
(+.f64 (+.f64 x -2/3) 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 -2/3) 1)
0.0ms
x
@0
(+.f64 x -2/3)
0.0ms
x
@-inf
(+.f64 x -2/3)
0.0ms
x
@inf
(+.f64 x -2/3)
0.0ms
x
@inf
(+.f64 (+.f64 x -2/3) 1)

rewrite62.0ms (3.3%)

Algorithm
1×batch-egg-rewrite
Rules
1628×pow1
1530×add-exp-log
1530×log1p-expm1-u
1530×expm1-log1p-u
1510×add-log-exp
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0714
115714
2202614
Stop Event
1×node limit
Counts
2 → 69
Calls
Call 1
Inputs
(+.f64 (+.f64 x -2/3) 1)
(+.f64 x -2/3)
Outputs
(-.f64 (+.f64 1 (+.f64 x 1/3)) 1)
(-.f64 (/.f64 (pow.f64 (+.f64 x -2/3) 2) (+.f64 x -5/3)) (/.f64 1 (+.f64 x -5/3)))
(*.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 1 (pow.f64 (+.f64 x -2/3) 3)) (/.f64 1 (+.f64 (pow.f64 (+.f64 x -2/3) 2) (-.f64 1 (+.f64 x -2/3)))))
(*.f64 (*.f64 (+.f64 x 1/3) (+.f64 x -5/3)) (/.f64 1 (+.f64 x -5/3)))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (+.f64 x -2/3) 2) (-.f64 1 (+.f64 x -2/3))) (+.f64 1 (pow.f64 (+.f64 x -2/3) 3))))
(/.f64 1 (/.f64 (+.f64 x -5/3) (*.f64 (+.f64 x 1/3) (+.f64 x -5/3))))
(/.f64 (+.f64 1 (pow.f64 (+.f64 x -2/3) 3)) (+.f64 (pow.f64 (+.f64 x -2/3) 2) (-.f64 1 (+.f64 x -2/3))))
(/.f64 (+.f64 1 (pow.f64 (+.f64 x -2/3) 3)) (+.f64 1 (-.f64 (pow.f64 (+.f64 x -2/3) 2) (+.f64 x -2/3))))
(/.f64 (*.f64 (+.f64 x 1/3) (+.f64 x -5/3)) (+.f64 x -5/3))
(/.f64 (neg.f64 (+.f64 1 (pow.f64 (+.f64 x -2/3) 3))) (neg.f64 (+.f64 (pow.f64 (+.f64 x -2/3) 2) (-.f64 1 (+.f64 x -2/3)))))
(/.f64 (neg.f64 (*.f64 (+.f64 x 1/3) (+.f64 x -5/3))) (neg.f64 (+.f64 x -5/3)))
(/.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))
(/.f64 (-.f64 1 (pow.f64 (+.f64 x -2/3) 2)) (-.f64 1 (+.f64 x -2/3)))
(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 (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 1 (+.f64 x -2/3) 1)
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) 1/3)
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 x -2/3)) 2) (cbrt.f64 (+.f64 x -2/3)) 1)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) 1/3)
(fma.f64 (sqrt.f64 (+.f64 x -2/3)) (sqrt.f64 (+.f64 x -2/3)) 1)
(-.f64 (+.f64 x 1/3) 1)
(-.f64 (/.f64 (*.f64 x x) (+.f64 x 2/3)) (/.f64 4/9 (+.f64 x 2/3)))
(*.f64 (+.f64 x -2/3) 1)
(*.f64 1 (+.f64 x -2/3))
(*.f64 (cbrt.f64 (+.f64 x -2/3)) (pow.f64 (cbrt.f64 (+.f64 x -2/3)) 2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 x -2/3)) 2) (cbrt.f64 (+.f64 x -2/3)))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 x -2/3)) 2) (*.f64 (cbrt.f64 (+.f64 x -2/3)) 1))
(*.f64 (sqrt.f64 (+.f64 x -2/3)) (sqrt.f64 (+.f64 x -2/3)))
(*.f64 (sqrt.f64 (+.f64 x -2/3)) (*.f64 (sqrt.f64 (+.f64 x -2/3)) 1))
(*.f64 (+.f64 (pow.f64 x 3) -8/27) (/.f64 1 (fma.f64 x x (-.f64 4/9 (*.f64 x -2/3)))))
(*.f64 (fma.f64 x x -4/9) (/.f64 1 (+.f64 x 2/3)))
(/.f64 1 (/.f64 (fma.f64 x x (-.f64 4/9 (*.f64 x -2/3))) (+.f64 (pow.f64 x 3) -8/27)))
(/.f64 1 (/.f64 (+.f64 x 2/3) (fma.f64 x x -4/9)))
(/.f64 (+.f64 (pow.f64 x 3) -8/27) (fma.f64 x x (-.f64 4/9 (*.f64 x -2/3))))
(/.f64 (+.f64 (pow.f64 x 3) -8/27) (+.f64 4/9 (-.f64 (*.f64 x x) (*.f64 x -2/3))))
(/.f64 (fma.f64 x x -4/9) (+.f64 x 2/3))
(/.f64 (neg.f64 (+.f64 (pow.f64 x 3) -8/27)) (neg.f64 (fma.f64 x x (-.f64 4/9 (*.f64 x -2/3)))))
(/.f64 (neg.f64 (fma.f64 x x -4/9)) (neg.f64 (+.f64 x 2/3)))
(/.f64 (-.f64 4/9 (*.f64 x x)) (-.f64 -2/3 x))
(/.f64 (*.f64 (+.f64 (pow.f64 x 3) -8/27) 1) (fma.f64 x x (-.f64 4/9 (*.f64 x -2/3))))
(/.f64 (*.f64 (fma.f64 x x -4/9) 1) (+.f64 x 2/3))
(pow.f64 (+.f64 x -2/3) 1)
(pow.f64 (cbrt.f64 (+.f64 x -2/3)) 3)
(pow.f64 (pow.f64 (+.f64 x -2/3) 3) 1/3)
(pow.f64 (sqrt.f64 (+.f64 x -2/3)) 2)
(sqrt.f64 (pow.f64 (+.f64 x -2/3) 2))
(log.f64 (exp.f64 (+.f64 x -2/3)))
(cbrt.f64 (pow.f64 (+.f64 x -2/3) 3))
(expm1.f64 (log.f64 (+.f64 x 1/3)))
(exp.f64 (log.f64 (+.f64 x -2/3)))
(log1p.f64 (expm1.f64 (+.f64 x -2/3)))
(fma.f64 1 x -2/3)
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) -2/3)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) -2/3)

simplify51.0ms (2.8%)

Algorithm
1×egg-herbie
Rules
1108×fma-def
968×distribute-lft-in
964×distribute-rgt-in
664×unswap-sqr
620×cancel-sign-sub-inv
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01601303
13851201
214901173
Stop Event
1×node limit
Counts
93 → 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)
-2/3
(-.f64 x 2/3)
(-.f64 x 2/3)
(-.f64 x 2/3)
x
(-.f64 x 2/3)
(-.f64 x 2/3)
(-.f64 x 2/3)
x
(-.f64 x 2/3)
(-.f64 x 2/3)
(-.f64 x 2/3)
(-.f64 (+.f64 1 (+.f64 x 1/3)) 1)
(-.f64 (/.f64 (pow.f64 (+.f64 x -2/3) 2) (+.f64 x -5/3)) (/.f64 1 (+.f64 x -5/3)))
(*.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 1 (pow.f64 (+.f64 x -2/3) 3)) (/.f64 1 (+.f64 (pow.f64 (+.f64 x -2/3) 2) (-.f64 1 (+.f64 x -2/3)))))
(*.f64 (*.f64 (+.f64 x 1/3) (+.f64 x -5/3)) (/.f64 1 (+.f64 x -5/3)))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (+.f64 x -2/3) 2) (-.f64 1 (+.f64 x -2/3))) (+.f64 1 (pow.f64 (+.f64 x -2/3) 3))))
(/.f64 1 (/.f64 (+.f64 x -5/3) (*.f64 (+.f64 x 1/3) (+.f64 x -5/3))))
(/.f64 (+.f64 1 (pow.f64 (+.f64 x -2/3) 3)) (+.f64 (pow.f64 (+.f64 x -2/3) 2) (-.f64 1 (+.f64 x -2/3))))
(/.f64 (+.f64 1 (pow.f64 (+.f64 x -2/3) 3)) (+.f64 1 (-.f64 (pow.f64 (+.f64 x -2/3) 2) (+.f64 x -2/3))))
(/.f64 (*.f64 (+.f64 x 1/3) (+.f64 x -5/3)) (+.f64 x -5/3))
(/.f64 (neg.f64 (+.f64 1 (pow.f64 (+.f64 x -2/3) 3))) (neg.f64 (+.f64 (pow.f64 (+.f64 x -2/3) 2) (-.f64 1 (+.f64 x -2/3)))))
(/.f64 (neg.f64 (*.f64 (+.f64 x 1/3) (+.f64 x -5/3))) (neg.f64 (+.f64 x -5/3)))
(/.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))
(/.f64 (-.f64 1 (pow.f64 (+.f64 x -2/3) 2)) (-.f64 1 (+.f64 x -2/3)))
(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 (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 1 (+.f64 x -2/3) 1)
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) 1/3)
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 x -2/3)) 2) (cbrt.f64 (+.f64 x -2/3)) 1)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) 1/3)
(fma.f64 (sqrt.f64 (+.f64 x -2/3)) (sqrt.f64 (+.f64 x -2/3)) 1)
(-.f64 (+.f64 x 1/3) 1)
(-.f64 (/.f64 (*.f64 x x) (+.f64 x 2/3)) (/.f64 4/9 (+.f64 x 2/3)))
(*.f64 (+.f64 x -2/3) 1)
(*.f64 1 (+.f64 x -2/3))
(*.f64 (cbrt.f64 (+.f64 x -2/3)) (pow.f64 (cbrt.f64 (+.f64 x -2/3)) 2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 x -2/3)) 2) (cbrt.f64 (+.f64 x -2/3)))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 x -2/3)) 2) (*.f64 (cbrt.f64 (+.f64 x -2/3)) 1))
(*.f64 (sqrt.f64 (+.f64 x -2/3)) (sqrt.f64 (+.f64 x -2/3)))
(*.f64 (sqrt.f64 (+.f64 x -2/3)) (*.f64 (sqrt.f64 (+.f64 x -2/3)) 1))
(*.f64 (+.f64 (pow.f64 x 3) -8/27) (/.f64 1 (fma.f64 x x (-.f64 4/9 (*.f64 x -2/3)))))
(*.f64 (fma.f64 x x -4/9) (/.f64 1 (+.f64 x 2/3)))
(/.f64 1 (/.f64 (fma.f64 x x (-.f64 4/9 (*.f64 x -2/3))) (+.f64 (pow.f64 x 3) -8/27)))
(/.f64 1 (/.f64 (+.f64 x 2/3) (fma.f64 x x -4/9)))
(/.f64 (+.f64 (pow.f64 x 3) -8/27) (fma.f64 x x (-.f64 4/9 (*.f64 x -2/3))))
(/.f64 (+.f64 (pow.f64 x 3) -8/27) (+.f64 4/9 (-.f64 (*.f64 x x) (*.f64 x -2/3))))
(/.f64 (fma.f64 x x -4/9) (+.f64 x 2/3))
(/.f64 (neg.f64 (+.f64 (pow.f64 x 3) -8/27)) (neg.f64 (fma.f64 x x (-.f64 4/9 (*.f64 x -2/3)))))
(/.f64 (neg.f64 (fma.f64 x x -4/9)) (neg.f64 (+.f64 x 2/3)))
(/.f64 (-.f64 4/9 (*.f64 x x)) (-.f64 -2/3 x))
(/.f64 (*.f64 (+.f64 (pow.f64 x 3) -8/27) 1) (fma.f64 x x (-.f64 4/9 (*.f64 x -2/3))))
(/.f64 (*.f64 (fma.f64 x x -4/9) 1) (+.f64 x 2/3))
(pow.f64 (+.f64 x -2/3) 1)
(pow.f64 (cbrt.f64 (+.f64 x -2/3)) 3)
(pow.f64 (pow.f64 (+.f64 x -2/3) 3) 1/3)
(pow.f64 (sqrt.f64 (+.f64 x -2/3)) 2)
(sqrt.f64 (pow.f64 (+.f64 x -2/3) 2))
(log.f64 (exp.f64 (+.f64 x -2/3)))
(cbrt.f64 (pow.f64 (+.f64 x -2/3) 3))
(expm1.f64 (log.f64 (+.f64 x 1/3)))
(exp.f64 (log.f64 (+.f64 x -2/3)))
(log1p.f64 (expm1.f64 (+.f64 x -2/3)))
(fma.f64 1 x -2/3)
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) -2/3)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) -2/3)
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)
-2/3
(-.f64 x 2/3)
(+.f64 x -2/3)
(-.f64 x 2/3)
(+.f64 x -2/3)
(-.f64 x 2/3)
(+.f64 x -2/3)
x
(-.f64 x 2/3)
(+.f64 x -2/3)
(-.f64 x 2/3)
(+.f64 x -2/3)
(-.f64 x 2/3)
(+.f64 x -2/3)
x
(-.f64 x 2/3)
(+.f64 x -2/3)
(-.f64 x 2/3)
(+.f64 x -2/3)
(-.f64 x 2/3)
(+.f64 x -2/3)
(-.f64 (+.f64 1 (+.f64 x 1/3)) 1)
(+.f64 1/3 x)
(-.f64 (/.f64 (pow.f64 (+.f64 x -2/3) 2) (+.f64 x -5/3)) (/.f64 1 (+.f64 x -5/3)))
(+.f64 (/.f64 (pow.f64 (+.f64 x -2/3) 2) (+.f64 x -5/3)) (/.f64 -1 (+.f64 x -5/3)))
(*.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 1 (pow.f64 (+.f64 x -2/3) 3)) (/.f64 1 (+.f64 (pow.f64 (+.f64 x -2/3) 2) (-.f64 1 (+.f64 x -2/3)))))
(*.f64 (+.f64 1 (pow.f64 (+.f64 x -2/3) 3)) (/.f64 1 (+.f64 (pow.f64 (+.f64 x -2/3) 2) (-.f64 (-.f64 1 x) -2/3))))
(/.f64 (+.f64 1 (pow.f64 (+.f64 x -2/3) 3)) (+.f64 (pow.f64 (+.f64 x -2/3) 2) (-.f64 5/3 x)))
(/.f64 (+.f64 1 (pow.f64 (+.f64 x -2/3) 3)) (fma.f64 (+.f64 x -2/3) (+.f64 x -5/3) 1))
(*.f64 (*.f64 (+.f64 x 1/3) (+.f64 x -5/3)) (/.f64 1 (+.f64 x -5/3)))
(+.f64 1/3 x)
(/.f64 1 (/.f64 (+.f64 (pow.f64 (+.f64 x -2/3) 2) (-.f64 1 (+.f64 x -2/3))) (+.f64 1 (pow.f64 (+.f64 x -2/3) 3))))
(*.f64 (+.f64 1 (pow.f64 (+.f64 x -2/3) 3)) (/.f64 1 (+.f64 (pow.f64 (+.f64 x -2/3) 2) (-.f64 (-.f64 1 x) -2/3))))
(/.f64 (+.f64 1 (pow.f64 (+.f64 x -2/3) 3)) (+.f64 (pow.f64 (+.f64 x -2/3) 2) (-.f64 5/3 x)))
(/.f64 (+.f64 1 (pow.f64 (+.f64 x -2/3) 3)) (fma.f64 (+.f64 x -2/3) (+.f64 x -5/3) 1))
(/.f64 1 (/.f64 (+.f64 x -5/3) (*.f64 (+.f64 x 1/3) (+.f64 x -5/3))))
(+.f64 1/3 x)
(/.f64 (+.f64 1 (pow.f64 (+.f64 x -2/3) 3)) (+.f64 (pow.f64 (+.f64 x -2/3) 2) (-.f64 1 (+.f64 x -2/3))))
(*.f64 (+.f64 1 (pow.f64 (+.f64 x -2/3) 3)) (/.f64 1 (+.f64 (pow.f64 (+.f64 x -2/3) 2) (-.f64 (-.f64 1 x) -2/3))))
(/.f64 (+.f64 1 (pow.f64 (+.f64 x -2/3) 3)) (+.f64 (pow.f64 (+.f64 x -2/3) 2) (-.f64 5/3 x)))
(/.f64 (+.f64 1 (pow.f64 (+.f64 x -2/3) 3)) (fma.f64 (+.f64 x -2/3) (+.f64 x -5/3) 1))
(/.f64 (+.f64 1 (pow.f64 (+.f64 x -2/3) 3)) (+.f64 1 (-.f64 (pow.f64 (+.f64 x -2/3) 2) (+.f64 x -2/3))))
(*.f64 (+.f64 1 (pow.f64 (+.f64 x -2/3) 3)) (/.f64 1 (+.f64 (pow.f64 (+.f64 x -2/3) 2) (-.f64 (-.f64 1 x) -2/3))))
(/.f64 (+.f64 1 (pow.f64 (+.f64 x -2/3) 3)) (+.f64 (pow.f64 (+.f64 x -2/3) 2) (-.f64 5/3 x)))
(/.f64 (+.f64 1 (pow.f64 (+.f64 x -2/3) 3)) (fma.f64 (+.f64 x -2/3) (+.f64 x -5/3) 1))
(/.f64 (*.f64 (+.f64 x 1/3) (+.f64 x -5/3)) (+.f64 x -5/3))
(+.f64 1/3 x)
(/.f64 (neg.f64 (+.f64 1 (pow.f64 (+.f64 x -2/3) 3))) (neg.f64 (+.f64 (pow.f64 (+.f64 x -2/3) 2) (-.f64 1 (+.f64 x -2/3)))))
(*.f64 (+.f64 1 (pow.f64 (+.f64 x -2/3) 3)) (/.f64 1 (+.f64 (pow.f64 (+.f64 x -2/3) 2) (-.f64 (-.f64 1 x) -2/3))))
(/.f64 (+.f64 1 (pow.f64 (+.f64 x -2/3) 3)) (+.f64 (pow.f64 (+.f64 x -2/3) 2) (-.f64 5/3 x)))
(/.f64 (+.f64 1 (pow.f64 (+.f64 x -2/3) 3)) (fma.f64 (+.f64 x -2/3) (+.f64 x -5/3) 1))
(/.f64 (neg.f64 (*.f64 (+.f64 x 1/3) (+.f64 x -5/3))) (neg.f64 (+.f64 x -5/3)))
(+.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))
(/.f64 (-.f64 1 (pow.f64 (+.f64 x -2/3) 2)) (-.f64 1 (+.f64 x -2/3)))
(/.f64 (-.f64 1 (pow.f64 (+.f64 x -2/3) 2)) (-.f64 (-.f64 1 x) -2/3))
(/.f64 (-.f64 1 (pow.f64 (+.f64 x -2/3) 2)) (-.f64 5/3 x))
(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 1 (+.f64 x -2/3) 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 -2/3)) 2) (cbrt.f64 (+.f64 x -2/3)) 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 -2/3)) (sqrt.f64 (+.f64 x -2/3)) 1)
(+.f64 1/3 x)
(-.f64 (+.f64 x 1/3) 1)
(+.f64 x -2/3)
(-.f64 (/.f64 (*.f64 x x) (+.f64 x 2/3)) (/.f64 4/9 (+.f64 x 2/3)))
(-.f64 (/.f64 x (/.f64 (+.f64 x 2/3) x)) (/.f64 4/9 (+.f64 x 2/3)))
(+.f64 (*.f64 (/.f64 x (+.f64 x 2/3)) x) (/.f64 -4/9 (+.f64 x 2/3)))
(fma.f64 (/.f64 x (+.f64 x 2/3)) x (/.f64 -4/9 (+.f64 x 2/3)))
(*.f64 (+.f64 x -2/3) 1)
(+.f64 x -2/3)
(*.f64 1 (+.f64 x -2/3))
(+.f64 x -2/3)
(*.f64 (cbrt.f64 (+.f64 x -2/3)) (pow.f64 (cbrt.f64 (+.f64 x -2/3)) 2))
(+.f64 x -2/3)
(*.f64 (pow.f64 (cbrt.f64 (+.f64 x -2/3)) 2) (cbrt.f64 (+.f64 x -2/3)))
(+.f64 x -2/3)
(*.f64 (pow.f64 (cbrt.f64 (+.f64 x -2/3)) 2) (*.f64 (cbrt.f64 (+.f64 x -2/3)) 1))
(+.f64 x -2/3)
(*.f64 (sqrt.f64 (+.f64 x -2/3)) (sqrt.f64 (+.f64 x -2/3)))
(+.f64 x -2/3)
(*.f64 (sqrt.f64 (+.f64 x -2/3)) (*.f64 (sqrt.f64 (+.f64 x -2/3)) 1))
(+.f64 x -2/3)
(*.f64 (+.f64 (pow.f64 x 3) -8/27) (/.f64 1 (fma.f64 x x (-.f64 4/9 (*.f64 x -2/3)))))
(/.f64 (+.f64 (pow.f64 x 3) -8/27) (fma.f64 x x (-.f64 4/9 (*.f64 x -2/3))))
(/.f64 (+.f64 (pow.f64 x 3) -8/27) (fma.f64 x (+.f64 x 2/3) 4/9))
(*.f64 (fma.f64 x x -4/9) (/.f64 1 (+.f64 x 2/3)))
(/.f64 (fma.f64 x x -4/9) (+.f64 x 2/3))
(/.f64 1 (/.f64 (fma.f64 x x (-.f64 4/9 (*.f64 x -2/3))) (+.f64 (pow.f64 x 3) -8/27)))
(/.f64 (+.f64 (pow.f64 x 3) -8/27) (fma.f64 x x (-.f64 4/9 (*.f64 x -2/3))))
(/.f64 (+.f64 (pow.f64 x 3) -8/27) (fma.f64 x (+.f64 x 2/3) 4/9))
(/.f64 1 (/.f64 (+.f64 x 2/3) (fma.f64 x x -4/9)))
(/.f64 (fma.f64 x x -4/9) (+.f64 x 2/3))
(/.f64 (+.f64 (pow.f64 x 3) -8/27) (fma.f64 x x (-.f64 4/9 (*.f64 x -2/3))))
(/.f64 (+.f64 (pow.f64 x 3) -8/27) (fma.f64 x (+.f64 x 2/3) 4/9))
(/.f64 (+.f64 (pow.f64 x 3) -8/27) (+.f64 4/9 (-.f64 (*.f64 x x) (*.f64 x -2/3))))
(/.f64 (+.f64 (pow.f64 x 3) -8/27) (fma.f64 x x (-.f64 4/9 (*.f64 x -2/3))))
(/.f64 (+.f64 (pow.f64 x 3) -8/27) (fma.f64 x (+.f64 x 2/3) 4/9))
(/.f64 (fma.f64 x x -4/9) (+.f64 x 2/3))
(/.f64 (neg.f64 (+.f64 (pow.f64 x 3) -8/27)) (neg.f64 (fma.f64 x x (-.f64 4/9 (*.f64 x -2/3)))))
(/.f64 (+.f64 (pow.f64 x 3) -8/27) (fma.f64 x x (-.f64 4/9 (*.f64 x -2/3))))
(/.f64 (+.f64 (pow.f64 x 3) -8/27) (fma.f64 x (+.f64 x 2/3) 4/9))
(/.f64 (neg.f64 (fma.f64 x x -4/9)) (neg.f64 (+.f64 x 2/3)))
(/.f64 (fma.f64 x x -4/9) (+.f64 x 2/3))
(/.f64 (-.f64 4/9 (*.f64 x x)) (-.f64 -2/3 x))
(/.f64 (fma.f64 x x -4/9) (+.f64 x 2/3))
(/.f64 (*.f64 (+.f64 (pow.f64 x 3) -8/27) 1) (fma.f64 x x (-.f64 4/9 (*.f64 x -2/3))))
(/.f64 (+.f64 (pow.f64 x 3) -8/27) (fma.f64 x x (-.f64 4/9 (*.f64 x -2/3))))
(/.f64 (+.f64 (pow.f64 x 3) -8/27) (fma.f64 x (+.f64 x 2/3) 4/9))
(/.f64 (*.f64 (fma.f64 x x -4/9) 1) (+.f64 x 2/3))
(/.f64 (fma.f64 x x -4/9) (+.f64 x 2/3))
(pow.f64 (+.f64 x -2/3) 1)
(+.f64 x -2/3)
(pow.f64 (cbrt.f64 (+.f64 x -2/3)) 3)
(+.f64 x -2/3)
(pow.f64 (pow.f64 (+.f64 x -2/3) 3) 1/3)
(+.f64 x -2/3)
(pow.f64 (sqrt.f64 (+.f64 x -2/3)) 2)
(+.f64 x -2/3)
(sqrt.f64 (pow.f64 (+.f64 x -2/3) 2))
(+.f64 x -2/3)
(log.f64 (exp.f64 (+.f64 x -2/3)))
(+.f64 x -2/3)
(cbrt.f64 (pow.f64 (+.f64 x -2/3) 3))
(+.f64 x -2/3)
(expm1.f64 (log.f64 (+.f64 x 1/3)))
(+.f64 x -2/3)
(exp.f64 (log.f64 (+.f64 x -2/3)))
(+.f64 x -2/3)
(log1p.f64 (expm1.f64 (+.f64 x -2/3)))
(+.f64 x -2/3)
(fma.f64 1 x -2/3)
(+.f64 x -2/3)
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) -2/3)
(+.f64 x -2/3)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) -2/3)
(+.f64 x -2/3)

eval23.0ms (1.3%)

Compiler

Compiled 947 to 745 computations (21.3% saved)

prune16.0ms (0.9%)

Pruning

4 alts after pruning (2 fresh and 2 done)

PrunedKeptTotal
New89089
Fresh022
Picked011
Done011
Total89493
Accuracy
100.0%
Counts
93 → 4
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓99.2%
(+.f64 (+.f64 x -2/3) 1)
✓100.0%
(+.f64 x 1/3)
48.5%
x
53.3%
1/3
✓99.2%
(+.f64 (+.f64 x -2/3) 1)
✓100.0%
(+.f64 x 1/3)
48.5%
x
53.3%
1/3
Compiler

Compiled 28 to 22 computations (21.4% saved)

localize0.0ms (0%)

eval2.0ms (0.1%)

Compiler

Compiled 1 to 1 computations (0% saved)

prune3.0ms (0.2%)

Pruning

4 alts after pruning (2 fresh and 2 done)

PrunedKeptTotal
New000
Fresh022
Picked000
Done022
Total044
Accuracy
100.0%
Counts
4 → 4
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓99.2%
(+.f64 (+.f64 x -2/3) 1)
✓100.0%
(+.f64 x 1/3)
48.5%
x
53.3%
1/3
Compiler

Compiled 62 to 47 computations (24.2% saved)

regimes13.0ms (0.7%)

Counts
8 → 1
Calls
Call 1
Inputs
1/3
x
(+.f64 x 1/3)
(+.f64 x (/.f64 1 3))
(+.f64 (+.f64 x -2/3) 1)
(-.f64 (+.f64 1 (+.f64 x 1/3)) 1)
(/.f64 1 (/.f64 (+.f64 x -1/3) (fma.f64 x x -1/9)))
(/.f64 (+.f64 (pow.f64 x 3) 1/27) (+.f64 1/9 (-.f64 (*.f64 x x) (*.f64 x 1/3))))
Outputs
(+.f64 x 1/3)
Calls

2 calls:

7.0ms
x
4.0ms
(+.f64 x (/.f64 1 3))
Results
AccuracySegmentsBranch
100.0%1x
100.0%1(+.f64 x (/.f64 1 3))
Compiler

Compiled 56 to 42 computations (25% saved)

regimes9.0ms (0.5%)

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

1 calls:

9.0ms
x
Results
AccuracySegmentsBranch
98.3%3x
Compiler

Compiled 5 to 3 computations (40% saved)

regimes5.0ms (0.3%)

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:

4.0ms
x
Results
AccuracySegmentsBranch
53.3%1x
Compiler

Compiled 4 to 3 computations (25% saved)

bsearch33.0ms (1.8%)

Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
16.0ms
0.00011992189737129346
14901428.197146177
17.0ms
-38.360841678636874
-4.295529291845033e-15
Results
29.0ms320×body256valid
Compiler

Compiled 130 to 108 computations (16.9% saved)

simplify5.0ms (0.3%)

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 -6124895493223875/18014398509481984) x (if (<=.f64 x 6124895493223875/18014398509481984) 1/3 x))
1/3
Outputs
(+.f64 x 1/3)
(if (<=.f64 x -6124895493223875/18014398509481984) x (if (<=.f64 x 6124895493223875/18014398509481984) 1/3 x))
1/3
Compiler

Compiled 18 to 13 computations (27.8% saved)

soundness17.0ms (0.9%)

Rules
14×sub-neg
12×fma-def
10×+-commutative
8×associate-+l-
6×associate--r+
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01125
11821
22621
33421
44421
55621
67121
77521
Stop Event
1×saturated
Compiler

Compiled 9 to 7 computations (22.2% saved)

end0.0ms (0%)

preprocess34.0ms (1.9%)

Compiler

Compiled 44 to 32 computations (27.3% saved)

Profiling

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