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

Time bar (total: 2.2s)

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)

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

sample815.0ms (37.7%)

Results
762.0ms8255×256valid
0.0ms1×256valid
Precisions
Click to see histograms. Total time spent on operations: 157.0ms
Operation ival-div, time spent: 84.0ms, 54.0% of total-time
Operation ival-sub, time spent: 55.0ms, 35.0% of total-time
Operation const, time spent: 17.0ms, 11.0% of total-time
Bogosity

preprocess106.0ms (4.9%)

Algorithm
1×egg-herbie
Rules
80×fma-def
24×distribute-lft-neg-in
18×sub-neg
16×cancel-sign-sub-inv
12×associate-+l-
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
00-0-x
00-0-(-.f64 x (/.f64 1 3))
00-0-3
00-0-(/.f64 1 3)
00-0-1
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01452
12848
25240
37940
412840
515940
616940
717640
818440
918940
1019040
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))
(neg.f64 (-.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 (neg.f64 x) -1/3)
(fma.f64 -1 x -1/3)
(-.f64 -1/3 x)
(neg.f64 (-.f64 (neg.f64 x) (/.f64 1 3)))
(neg.f64 (+.f64 (neg.f64 x) -1/3))
(neg.f64 (fma.f64 -1 x -1/3))
(+.f64 x 1/3)
Compiler

Compiled 32 to 27 computations (15.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 13.0ms
Operation ival-div, time spent: 8.0ms, 61.0% of total-time
Operation ival-sub, time spent: 3.0ms, 23.0% of total-time
Operation const, time spent: 2.0ms, 15.0% of total-time

eval0.0ms (0%)

Compiler

Compiled 4 to 3 computations (25% saved)

prune1.0ms (0%)

Alt Table
Click to see full alt table
StatusAccuracyProgram
▶100.0%
(+.f64 x -1/3)
Compiler

Compiled 4 to 3 computations (25% saved)

localize20.0ms (0.9%)

Localize:

Found 1 expressions with local error:

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

Compiled 7 to 5 computations (28.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 4.0ms
Operation ival-add, time spent: 3.0ms, 84.0% of total-time
Operation const, time spent: 1.0ms, 28.0% of total-time

series1.0ms (0%)

Counts
1 → 12
Calls

3 calls:

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

rewrite169.0ms (7.8%)

Algorithm
1×batch-egg-rewrite
Rules
928×frac-times
334×unpow-prod-down
283×log1p-expm1-u
283×expm1-log1p-u
267×add-exp-log
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0710
16010
274810
Stop Event
1×node limit
Counts
1 → 73
Calls
Call 1
Inputs
(+.f64 x -1/3)
Outputs
(-.f64 (+.f64 1 (+.f64 x -1/3)) 1)
(-.f64 (/.f64 (pow.f64 x 2) (+.f64 x 1/3)) (/.f64 1/9 (+.f64 x 1/3)))
(-.f64 (/.f64 1/9 (-.f64 -1/3 x)) (/.f64 (pow.f64 x 2) (-.f64 -1/3 x)))
(*.f64 (+.f64 x -1/3) 1)
(*.f64 (+.f64 x -1/3) (log.f64 (E.f64)))
(*.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 (-.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 (pow.f64 (+.f64 x -1/3) 1/4) (sqrt.f64 (pow.f64 (+.f64 x -1/3) 3/2)))
(*.f64 (pow.f64 1 1/3) (+.f64 x -1/3))
(*.f64 (pow.f64 (pow.f64 (*.f64 (+.f64 x -1/3) (cbrt.f64 (+.f64 x -1/3))) 2) 1/3) (cbrt.f64 (cbrt.f64 (+.f64 x -1/3))))
(*.f64 (pow.f64 (pow.f64 (+.f64 x -1/3) 5/2) 1/3) (pow.f64 (+.f64 x -1/3) 1/6))
(*.f64 (cbrt.f64 (pow.f64 (*.f64 (+.f64 x -1/3) (cbrt.f64 (+.f64 x -1/3))) 2)) (cbrt.f64 (cbrt.f64 (+.f64 x -1/3))))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 x -1/3) 5/2)) (pow.f64 (+.f64 x -1/3) 1/6))
(*.f64 (sqrt.f64 (pow.f64 (+.f64 x -1/3) 3/2)) (pow.f64 (+.f64 x -1/3) 1/4))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 x -1/3)) 5)) (pow.f64 (+.f64 x -1/3) 1/6))
(/.f64 1 (/.f64 (-.f64 (fma.f64 x x 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) (-.f64 (fma.f64 x x 1/9) (*.f64 x -1/3)))
(/.f64 (+.f64 (pow.f64 x 3) -1/27) (+.f64 1/9 (-.f64 (pow.f64 x 2) (*.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 (-.f64 (fma.f64 x x 1/9) (*.f64 x -1/3))))
(/.f64 (neg.f64 (+.f64 (pow.f64 x 3) -1/27)) (neg.f64 (+.f64 1/9 (-.f64 (pow.f64 x 2) (*.f64 x -1/3)))))
(/.f64 (neg.f64 (fma.f64 x x -1/9)) (neg.f64 (+.f64 x 1/3)))
(/.f64 (-.f64 1/9 (pow.f64 x 2)) (-.f64 -1/3 x))
(/.f64 -1 (neg.f64 (/.f64 (-.f64 (fma.f64 x x 1/9) (*.f64 x -1/3)) (+.f64 (pow.f64 x 3) -1/27))))
(/.f64 -1 (neg.f64 (/.f64 (+.f64 x 1/3) (fma.f64 x x -1/9))))
(/.f64 (cbrt.f64 (*.f64 (pow.f64 (+.f64 x -1/3) 2) (+.f64 (pow.f64 x 3) -1/27))) (cbrt.f64 (-.f64 (fma.f64 x x 1/9) (*.f64 x -1/3))))
(/.f64 (cbrt.f64 (*.f64 (pow.f64 (+.f64 x -1/3) 2) (fma.f64 x x -1/9))) (cbrt.f64 (+.f64 x 1/3)))
(/.f64 (sqrt.f64 (*.f64 (+.f64 (pow.f64 x 3) -1/27) (fma.f64 x x -1/9))) (sqrt.f64 (*.f64 (-.f64 (fma.f64 x x 1/9) (*.f64 x -1/3)) (+.f64 x 1/3))))
(/.f64 (sqrt.f64 (*.f64 (fma.f64 x x -1/9) (+.f64 (pow.f64 x 3) -1/27))) (sqrt.f64 (*.f64 (+.f64 x 1/3) (-.f64 (fma.f64 x x 1/9) (*.f64 x -1/3)))))
(/.f64 (sqrt.f64 (*.f64 (+.f64 x -1/3) (+.f64 (pow.f64 x 3) -1/27))) (hypot.f64 x (sqrt.f64 (-.f64 1/9 (*.f64 x -1/3)))))
(/.f64 (sqrt.f64 (*.f64 (+.f64 x -1/3) (fma.f64 x x -1/9))) (sqrt.f64 (+.f64 x 1/3)))
(/.f64 (sqrt.f64 (*.f64 (+.f64 (pow.f64 x 3) -1/27) (+.f64 x -1/3))) (hypot.f64 x (sqrt.f64 (-.f64 1/9 (*.f64 x -1/3)))))
(/.f64 (sqrt.f64 (*.f64 (fma.f64 x x -1/9) (+.f64 x -1/3))) (sqrt.f64 (+.f64 x 1/3)))
(/.f64 (-.f64 (*.f64 (pow.f64 x 2) (+.f64 x 1/3)) (*.f64 (+.f64 x 1/3) 1/9)) (pow.f64 (+.f64 x 1/3) 2))
(/.f64 (*.f64 (-.f64 (pow.f64 x 4) 1/81) 1) (*.f64 (fma.f64 x x 1/9) (+.f64 x 1/3)))
(/.f64 (*.f64 (sqrt.f64 (fma.f64 x x -1/9)) (sqrt.f64 (+.f64 (pow.f64 x 3) -1/27))) (*.f64 (sqrt.f64 (+.f64 x 1/3)) (hypot.f64 x (sqrt.f64 (-.f64 1/9 (*.f64 x -1/3))))))
(/.f64 (*.f64 (sqrt.f64 (+.f64 (pow.f64 x 3) -1/27)) (sqrt.f64 (fma.f64 x x -1/9))) (*.f64 (hypot.f64 x (sqrt.f64 (-.f64 1/9 (*.f64 x -1/3)))) (sqrt.f64 (+.f64 x 1/3))))
(/.f64 (*.f64 (+.f64 (pow.f64 x 9) -1/19683) 1) (*.f64 (+.f64 (pow.f64 x 6) (-.f64 1/729 (*.f64 (pow.f64 x 3) -1/27))) (-.f64 (fma.f64 x x 1/9) (*.f64 x -1/3))))
(/.f64 (*.f64 (-.f64 (pow.f64 x 6) 1/729) 1) (*.f64 (+.f64 (pow.f64 x 4) (+.f64 1/81 (*.f64 (pow.f64 x 2) 1/9))) (+.f64 x 1/3)))
(/.f64 (*.f64 (-.f64 (pow.f64 x 6) 1/729) 1) (*.f64 (-.f64 (pow.f64 x 3) -1/27) (-.f64 (fma.f64 x x 1/9) (*.f64 x -1/3))))
(/.f64 (neg.f64 (neg.f64 (+.f64 (pow.f64 x 3) -1/27))) (neg.f64 (neg.f64 (-.f64 (fma.f64 x x 1/9) (*.f64 x -1/3)))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 x x -1/9))) (neg.f64 (neg.f64 (+.f64 x 1/3))))
(/.f64 (neg.f64 (-.f64 1/9 (pow.f64 x 2))) (neg.f64 (-.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) 2) 1/2)
(pow.f64 (pow.f64 (+.f64 x -1/3) 3) 1/3)
(pow.f64 (sqrt.f64 (+.f64 x -1/3)) 2)
(pow.f64 (E.f64) (log.f64 (+.f64 x -1/3)))
(pow.f64 (/.f64 (-.f64 (fma.f64 x x 1/9) (*.f64 x -1/3)) (+.f64 (pow.f64 x 3) -1/27)) -1)
(pow.f64 (/.f64 (+.f64 x 1/3) (fma.f64 x x -1/9)) -1)
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x -1/3))) 2)) (cbrt.f64 (log.f64 (+.f64 x -1/3))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (+.f64 x -1/3)))) (sqrt.f64 (log.f64 (+.f64 x -1/3))))
(sqrt.f64 (pow.f64 (+.f64 x -1/3) 2))
(fabs.f64 (+.f64 x -1/3))
(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 (cbrt.f64 (+.f64 x -1/3))) 3))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (+.f64 x -1/3))) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 x -1/3))) 2))
(log1p.f64 (expm1.f64 (+.f64 x -1/3)))
(fma.f64 x 1 -1/3)
(fma.f64 1 x -1/3)
(fma.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) 2) -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)

simplify92.0ms (4.2%)

Algorithm
1×egg-herbie
Rules
1142×times-frac
1062×fma-neg
976×fma-def
672×unswap-sqr
578×associate-/r*
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
02332937
15852791
221572499
376382499
Stop Event
1×node limit
Counts
85 → 115
Calls
Call 1
Inputs
-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)
(-.f64 (+.f64 1 (+.f64 x -1/3)) 1)
(-.f64 (/.f64 (pow.f64 x 2) (+.f64 x 1/3)) (/.f64 1/9 (+.f64 x 1/3)))
(-.f64 (/.f64 1/9 (-.f64 -1/3 x)) (/.f64 (pow.f64 x 2) (-.f64 -1/3 x)))
(*.f64 (+.f64 x -1/3) 1)
(*.f64 (+.f64 x -1/3) (log.f64 (E.f64)))
(*.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 (-.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 (pow.f64 (+.f64 x -1/3) 1/4) (sqrt.f64 (pow.f64 (+.f64 x -1/3) 3/2)))
(*.f64 (pow.f64 1 1/3) (+.f64 x -1/3))
(*.f64 (pow.f64 (pow.f64 (*.f64 (+.f64 x -1/3) (cbrt.f64 (+.f64 x -1/3))) 2) 1/3) (cbrt.f64 (cbrt.f64 (+.f64 x -1/3))))
(*.f64 (pow.f64 (pow.f64 (+.f64 x -1/3) 5/2) 1/3) (pow.f64 (+.f64 x -1/3) 1/6))
(*.f64 (cbrt.f64 (pow.f64 (*.f64 (+.f64 x -1/3) (cbrt.f64 (+.f64 x -1/3))) 2)) (cbrt.f64 (cbrt.f64 (+.f64 x -1/3))))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 x -1/3) 5/2)) (pow.f64 (+.f64 x -1/3) 1/6))
(*.f64 (sqrt.f64 (pow.f64 (+.f64 x -1/3) 3/2)) (pow.f64 (+.f64 x -1/3) 1/4))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 x -1/3)) 5)) (pow.f64 (+.f64 x -1/3) 1/6))
(/.f64 1 (/.f64 (-.f64 (fma.f64 x x 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) (-.f64 (fma.f64 x x 1/9) (*.f64 x -1/3)))
(/.f64 (+.f64 (pow.f64 x 3) -1/27) (+.f64 1/9 (-.f64 (pow.f64 x 2) (*.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 (-.f64 (fma.f64 x x 1/9) (*.f64 x -1/3))))
(/.f64 (neg.f64 (+.f64 (pow.f64 x 3) -1/27)) (neg.f64 (+.f64 1/9 (-.f64 (pow.f64 x 2) (*.f64 x -1/3)))))
(/.f64 (neg.f64 (fma.f64 x x -1/9)) (neg.f64 (+.f64 x 1/3)))
(/.f64 (-.f64 1/9 (pow.f64 x 2)) (-.f64 -1/3 x))
(/.f64 -1 (neg.f64 (/.f64 (-.f64 (fma.f64 x x 1/9) (*.f64 x -1/3)) (+.f64 (pow.f64 x 3) -1/27))))
(/.f64 -1 (neg.f64 (/.f64 (+.f64 x 1/3) (fma.f64 x x -1/9))))
(/.f64 (cbrt.f64 (*.f64 (pow.f64 (+.f64 x -1/3) 2) (+.f64 (pow.f64 x 3) -1/27))) (cbrt.f64 (-.f64 (fma.f64 x x 1/9) (*.f64 x -1/3))))
(/.f64 (cbrt.f64 (*.f64 (pow.f64 (+.f64 x -1/3) 2) (fma.f64 x x -1/9))) (cbrt.f64 (+.f64 x 1/3)))
(/.f64 (sqrt.f64 (*.f64 (+.f64 (pow.f64 x 3) -1/27) (fma.f64 x x -1/9))) (sqrt.f64 (*.f64 (-.f64 (fma.f64 x x 1/9) (*.f64 x -1/3)) (+.f64 x 1/3))))
(/.f64 (sqrt.f64 (*.f64 (fma.f64 x x -1/9) (+.f64 (pow.f64 x 3) -1/27))) (sqrt.f64 (*.f64 (+.f64 x 1/3) (-.f64 (fma.f64 x x 1/9) (*.f64 x -1/3)))))
(/.f64 (sqrt.f64 (*.f64 (+.f64 x -1/3) (+.f64 (pow.f64 x 3) -1/27))) (hypot.f64 x (sqrt.f64 (-.f64 1/9 (*.f64 x -1/3)))))
(/.f64 (sqrt.f64 (*.f64 (+.f64 x -1/3) (fma.f64 x x -1/9))) (sqrt.f64 (+.f64 x 1/3)))
(/.f64 (sqrt.f64 (*.f64 (+.f64 (pow.f64 x 3) -1/27) (+.f64 x -1/3))) (hypot.f64 x (sqrt.f64 (-.f64 1/9 (*.f64 x -1/3)))))
(/.f64 (sqrt.f64 (*.f64 (fma.f64 x x -1/9) (+.f64 x -1/3))) (sqrt.f64 (+.f64 x 1/3)))
(/.f64 (-.f64 (*.f64 (pow.f64 x 2) (+.f64 x 1/3)) (*.f64 (+.f64 x 1/3) 1/9)) (pow.f64 (+.f64 x 1/3) 2))
(/.f64 (*.f64 (-.f64 (pow.f64 x 4) 1/81) 1) (*.f64 (fma.f64 x x 1/9) (+.f64 x 1/3)))
(/.f64 (*.f64 (sqrt.f64 (fma.f64 x x -1/9)) (sqrt.f64 (+.f64 (pow.f64 x 3) -1/27))) (*.f64 (sqrt.f64 (+.f64 x 1/3)) (hypot.f64 x (sqrt.f64 (-.f64 1/9 (*.f64 x -1/3))))))
(/.f64 (*.f64 (sqrt.f64 (+.f64 (pow.f64 x 3) -1/27)) (sqrt.f64 (fma.f64 x x -1/9))) (*.f64 (hypot.f64 x (sqrt.f64 (-.f64 1/9 (*.f64 x -1/3)))) (sqrt.f64 (+.f64 x 1/3))))
(/.f64 (*.f64 (+.f64 (pow.f64 x 9) -1/19683) 1) (*.f64 (+.f64 (pow.f64 x 6) (-.f64 1/729 (*.f64 (pow.f64 x 3) -1/27))) (-.f64 (fma.f64 x x 1/9) (*.f64 x -1/3))))
(/.f64 (*.f64 (-.f64 (pow.f64 x 6) 1/729) 1) (*.f64 (+.f64 (pow.f64 x 4) (+.f64 1/81 (*.f64 (pow.f64 x 2) 1/9))) (+.f64 x 1/3)))
(/.f64 (*.f64 (-.f64 (pow.f64 x 6) 1/729) 1) (*.f64 (-.f64 (pow.f64 x 3) -1/27) (-.f64 (fma.f64 x x 1/9) (*.f64 x -1/3))))
(/.f64 (neg.f64 (neg.f64 (+.f64 (pow.f64 x 3) -1/27))) (neg.f64 (neg.f64 (-.f64 (fma.f64 x x 1/9) (*.f64 x -1/3)))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 x x -1/9))) (neg.f64 (neg.f64 (+.f64 x 1/3))))
(/.f64 (neg.f64 (-.f64 1/9 (pow.f64 x 2))) (neg.f64 (-.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) 2) 1/2)
(pow.f64 (pow.f64 (+.f64 x -1/3) 3) 1/3)
(pow.f64 (sqrt.f64 (+.f64 x -1/3)) 2)
(pow.f64 (E.f64) (log.f64 (+.f64 x -1/3)))
(pow.f64 (/.f64 (-.f64 (fma.f64 x x 1/9) (*.f64 x -1/3)) (+.f64 (pow.f64 x 3) -1/27)) -1)
(pow.f64 (/.f64 (+.f64 x 1/3) (fma.f64 x x -1/9)) -1)
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x -1/3))) 2)) (cbrt.f64 (log.f64 (+.f64 x -1/3))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (+.f64 x -1/3)))) (sqrt.f64 (log.f64 (+.f64 x -1/3))))
(sqrt.f64 (pow.f64 (+.f64 x -1/3) 2))
(fabs.f64 (+.f64 x -1/3))
(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 (cbrt.f64 (+.f64 x -1/3))) 3))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (+.f64 x -1/3))) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 x -1/3))) 2))
(log1p.f64 (expm1.f64 (+.f64 x -1/3)))
(fma.f64 x 1 -1/3)
(fma.f64 1 x -1/3)
(fma.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) 2) -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 x 1/3)
(+.f64 -1/3 x)
(-.f64 x 1/3)
(+.f64 -1/3 x)
(-.f64 x 1/3)
(+.f64 -1/3 x)
x
(-.f64 x 1/3)
(+.f64 -1/3 x)
(-.f64 x 1/3)
(+.f64 -1/3 x)
(-.f64 x 1/3)
(+.f64 -1/3 x)
x
(-.f64 x 1/3)
(+.f64 -1/3 x)
(-.f64 x 1/3)
(+.f64 -1/3 x)
(-.f64 x 1/3)
(+.f64 -1/3 x)
(-.f64 (+.f64 1 (+.f64 x -1/3)) 1)
(+.f64 -1/3 x)
(-.f64 (/.f64 (pow.f64 x 2) (+.f64 x 1/3)) (/.f64 1/9 (+.f64 x 1/3)))
(+.f64 (/.f64 (pow.f64 x 2) (+.f64 x 1/3)) (/.f64 -1/9 (+.f64 x 1/3)))
(/.f64 (fma.f64 x x -1/9) (+.f64 x 1/3))
(-.f64 (/.f64 1/9 (-.f64 -1/3 x)) (/.f64 (pow.f64 x 2) (-.f64 -1/3 x)))
(-.f64 (/.f64 (pow.f64 x 2) (+.f64 x 1/3)) (/.f64 1/9 (+.f64 x 1/3)))
(+.f64 (/.f64 (pow.f64 x 2) (+.f64 x 1/3)) (/.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 (+.f64 x -1/3) (log.f64 (E.f64)))
(+.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 (-.f64 (fma.f64 x x 1/9) (*.f64 x -1/3))))
(*.f64 (+.f64 (pow.f64 x 3) -1/27) (/.f64 1 (-.f64 (fma.f64 x x 1/9) (*.f64 -1/3 x))))
(/.f64 (+.f64 (pow.f64 x 3) -1/27) (+.f64 1/9 (*.f64 x (-.f64 x -1/3))))
(/.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 (pow.f64 x 2) (+.f64 x 1/3)) (/.f64 1/9 (+.f64 x 1/3)))
(+.f64 (/.f64 (pow.f64 x 2) (+.f64 x 1/3)) (/.f64 -1/9 (+.f64 x 1/3)))
(/.f64 (fma.f64 x x -1/9) (+.f64 x 1/3))
(*.f64 (pow.f64 (+.f64 x -1/3) 1/4) (sqrt.f64 (pow.f64 (+.f64 x -1/3) 3/2)))
(*.f64 (pow.f64 (+.f64 -1/3 x) 1/4) (sqrt.f64 (pow.f64 (+.f64 -1/3 x) 3/2)))
(*.f64 (pow.f64 (+.f64 -1/3 x) 1/4) (pow.f64 (+.f64 -1/3 x) 3/4))
(*.f64 (pow.f64 1 1/3) (+.f64 x -1/3))
(+.f64 -1/3 x)
(*.f64 (pow.f64 (pow.f64 (*.f64 (+.f64 x -1/3) (cbrt.f64 (+.f64 x -1/3))) 2) 1/3) (cbrt.f64 (cbrt.f64 (+.f64 x -1/3))))
(*.f64 (cbrt.f64 (pow.f64 (*.f64 (+.f64 -1/3 x) (cbrt.f64 (+.f64 -1/3 x))) 2)) (cbrt.f64 (cbrt.f64 (+.f64 -1/3 x))))
(*.f64 (cbrt.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 -1/3 x)) 4) 2)) (cbrt.f64 (cbrt.f64 (+.f64 -1/3 x))))
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (+.f64 -1/3 x)) 8)) (cbrt.f64 (cbrt.f64 (+.f64 -1/3 x))))
(*.f64 (pow.f64 (pow.f64 (+.f64 x -1/3) 5/2) 1/3) (pow.f64 (+.f64 x -1/3) 1/6))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 -1/3 x) 5/2)) (pow.f64 (+.f64 -1/3 x) 1/6))
(*.f64 (cbrt.f64 (pow.f64 (*.f64 (+.f64 x -1/3) (cbrt.f64 (+.f64 x -1/3))) 2)) (cbrt.f64 (cbrt.f64 (+.f64 x -1/3))))
(*.f64 (cbrt.f64 (pow.f64 (*.f64 (+.f64 -1/3 x) (cbrt.f64 (+.f64 -1/3 x))) 2)) (cbrt.f64 (cbrt.f64 (+.f64 -1/3 x))))
(*.f64 (cbrt.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 -1/3 x)) 4) 2)) (cbrt.f64 (cbrt.f64 (+.f64 -1/3 x))))
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (+.f64 -1/3 x)) 8)) (cbrt.f64 (cbrt.f64 (+.f64 -1/3 x))))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 x -1/3) 5/2)) (pow.f64 (+.f64 x -1/3) 1/6))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 -1/3 x) 5/2)) (pow.f64 (+.f64 -1/3 x) 1/6))
(*.f64 (sqrt.f64 (pow.f64 (+.f64 x -1/3) 3/2)) (pow.f64 (+.f64 x -1/3) 1/4))
(*.f64 (pow.f64 (+.f64 -1/3 x) 1/4) (sqrt.f64 (pow.f64 (+.f64 -1/3 x) 3/2)))
(*.f64 (pow.f64 (+.f64 -1/3 x) 1/4) (pow.f64 (+.f64 -1/3 x) 3/4))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 x -1/3)) 5)) (pow.f64 (+.f64 x -1/3) 1/6))
(*.f64 (pow.f64 (+.f64 -1/3 x) 1/6) (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 -1/3 x)) 5)))
(*.f64 (pow.f64 (+.f64 -1/3 x) 1/6) (pow.f64 (cbrt.f64 (+.f64 -1/3 x)) 5/2))
(/.f64 1 (/.f64 (-.f64 (fma.f64 x x 1/9) (*.f64 x -1/3)) (+.f64 (pow.f64 x 3) -1/27)))
(*.f64 (+.f64 (pow.f64 x 3) -1/27) (/.f64 1 (-.f64 (fma.f64 x x 1/9) (*.f64 -1/3 x))))
(/.f64 (+.f64 (pow.f64 x 3) -1/27) (+.f64 1/9 (*.f64 x (-.f64 x -1/3))))
(/.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 (pow.f64 x 2) (+.f64 x 1/3)) (/.f64 1/9 (+.f64 x 1/3)))
(+.f64 (/.f64 (pow.f64 x 2) (+.f64 x 1/3)) (/.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) (-.f64 (fma.f64 x x 1/9) (*.f64 x -1/3)))
(*.f64 (+.f64 (pow.f64 x 3) -1/27) (/.f64 1 (-.f64 (fma.f64 x x 1/9) (*.f64 -1/3 x))))
(/.f64 (+.f64 (pow.f64 x 3) -1/27) (+.f64 1/9 (*.f64 x (-.f64 x -1/3))))
(/.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 (pow.f64 x 2) (*.f64 x -1/3))))
(*.f64 (+.f64 (pow.f64 x 3) -1/27) (/.f64 1 (-.f64 (fma.f64 x x 1/9) (*.f64 -1/3 x))))
(/.f64 (+.f64 (pow.f64 x 3) -1/27) (+.f64 1/9 (*.f64 x (-.f64 x -1/3))))
(/.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 (pow.f64 x 2) (+.f64 x 1/3)) (/.f64 1/9 (+.f64 x 1/3)))
(+.f64 (/.f64 (pow.f64 x 2) (+.f64 x 1/3)) (/.f64 -1/9 (+.f64 x 1/3)))
(/.f64 (neg.f64 (+.f64 (pow.f64 x 3) -1/27)) (neg.f64 (-.f64 (fma.f64 x x 1/9) (*.f64 x -1/3))))
(*.f64 (+.f64 (pow.f64 x 3) -1/27) (/.f64 1 (-.f64 (fma.f64 x x 1/9) (*.f64 -1/3 x))))
(/.f64 (+.f64 (pow.f64 x 3) -1/27) (+.f64 1/9 (*.f64 x (-.f64 x -1/3))))
(/.f64 (+.f64 (pow.f64 x 3) -1/27) (fma.f64 x (+.f64 x 1/3) 1/9))
(/.f64 (neg.f64 (+.f64 (pow.f64 x 3) -1/27)) (neg.f64 (+.f64 1/9 (-.f64 (pow.f64 x 2) (*.f64 x -1/3)))))
(*.f64 (+.f64 (pow.f64 x 3) -1/27) (/.f64 1 (-.f64 (fma.f64 x x 1/9) (*.f64 -1/3 x))))
(/.f64 (+.f64 (pow.f64 x 3) -1/27) (+.f64 1/9 (*.f64 x (-.f64 x -1/3))))
(/.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 (pow.f64 x 2) (+.f64 x 1/3)) (/.f64 1/9 (+.f64 x 1/3)))
(+.f64 (/.f64 (pow.f64 x 2) (+.f64 x 1/3)) (/.f64 -1/9 (+.f64 x 1/3)))
(/.f64 (fma.f64 x x -1/9) (+.f64 x 1/3))
(/.f64 (-.f64 1/9 (pow.f64 x 2)) (-.f64 -1/3 x))
(-.f64 (/.f64 (pow.f64 x 2) (+.f64 x 1/3)) (/.f64 1/9 (+.f64 x 1/3)))
(+.f64 (/.f64 (pow.f64 x 2) (+.f64 x 1/3)) (/.f64 -1/9 (+.f64 x 1/3)))
(/.f64 (fma.f64 x x -1/9) (+.f64 x 1/3))
(/.f64 -1 (neg.f64 (/.f64 (-.f64 (fma.f64 x x 1/9) (*.f64 x -1/3)) (+.f64 (pow.f64 x 3) -1/27))))
(*.f64 (+.f64 (pow.f64 x 3) -1/27) (/.f64 1 (-.f64 (fma.f64 x x 1/9) (*.f64 -1/3 x))))
(/.f64 (+.f64 (pow.f64 x 3) -1/27) (+.f64 1/9 (*.f64 x (-.f64 x -1/3))))
(/.f64 (+.f64 (pow.f64 x 3) -1/27) (fma.f64 x (+.f64 x 1/3) 1/9))
(/.f64 -1 (neg.f64 (/.f64 (+.f64 x 1/3) (fma.f64 x x -1/9))))
(-.f64 (/.f64 (pow.f64 x 2) (+.f64 x 1/3)) (/.f64 1/9 (+.f64 x 1/3)))
(+.f64 (/.f64 (pow.f64 x 2) (+.f64 x 1/3)) (/.f64 -1/9 (+.f64 x 1/3)))
(/.f64 (fma.f64 x x -1/9) (+.f64 x 1/3))
(/.f64 (cbrt.f64 (*.f64 (pow.f64 (+.f64 x -1/3) 2) (+.f64 (pow.f64 x 3) -1/27))) (cbrt.f64 (-.f64 (fma.f64 x x 1/9) (*.f64 x -1/3))))
(/.f64 (cbrt.f64 (*.f64 (+.f64 (pow.f64 x 3) -1/27) (pow.f64 (+.f64 -1/3 x) 2))) (cbrt.f64 (-.f64 (fma.f64 x x 1/9) (*.f64 -1/3 x))))
(/.f64 (cbrt.f64 (*.f64 (+.f64 (pow.f64 x 3) -1/27) (pow.f64 (+.f64 -1/3 x) 2))) (cbrt.f64 (+.f64 1/9 (*.f64 x (-.f64 x -1/3)))))
(/.f64 (cbrt.f64 (*.f64 (+.f64 (pow.f64 x 3) -1/27) (pow.f64 (+.f64 -1/3 x) 2))) (cbrt.f64 (fma.f64 x (+.f64 x 1/3) 1/9)))
(/.f64 (cbrt.f64 (*.f64 (pow.f64 (+.f64 x -1/3) 2) (fma.f64 x x -1/9))) (cbrt.f64 (+.f64 x 1/3)))
(/.f64 (cbrt.f64 (*.f64 (fma.f64 x x -1/9) (pow.f64 (+.f64 -1/3 x) 2))) (cbrt.f64 (+.f64 x 1/3)))
(/.f64 (sqrt.f64 (*.f64 (+.f64 (pow.f64 x 3) -1/27) (fma.f64 x x -1/9))) (sqrt.f64 (*.f64 (-.f64 (fma.f64 x x 1/9) (*.f64 x -1/3)) (+.f64 x 1/3))))
(/.f64 (sqrt.f64 (*.f64 (+.f64 (pow.f64 x 3) -1/27) (fma.f64 x x -1/9))) (sqrt.f64 (*.f64 (+.f64 x 1/3) (-.f64 (fma.f64 x x 1/9) (*.f64 -1/3 x)))))
(/.f64 (sqrt.f64 (*.f64 (+.f64 (pow.f64 x 3) -1/27) (fma.f64 x x -1/9))) (sqrt.f64 (*.f64 (+.f64 x 1/3) (+.f64 1/9 (*.f64 x (-.f64 x -1/3))))))
(/.f64 (sqrt.f64 (*.f64 (+.f64 (pow.f64 x 3) -1/27) (fma.f64 x x -1/9))) (sqrt.f64 (*.f64 (+.f64 x 1/3) (fma.f64 x (+.f64 x 1/3) 1/9))))
(/.f64 (sqrt.f64 (*.f64 (fma.f64 x x -1/9) (+.f64 (pow.f64 x 3) -1/27))) (sqrt.f64 (*.f64 (+.f64 x 1/3) (-.f64 (fma.f64 x x 1/9) (*.f64 x -1/3)))))
(/.f64 (sqrt.f64 (*.f64 (+.f64 (pow.f64 x 3) -1/27) (fma.f64 x x -1/9))) (sqrt.f64 (*.f64 (+.f64 x 1/3) (-.f64 (fma.f64 x x 1/9) (*.f64 -1/3 x)))))
(/.f64 (sqrt.f64 (*.f64 (+.f64 (pow.f64 x 3) -1/27) (fma.f64 x x -1/9))) (sqrt.f64 (*.f64 (+.f64 x 1/3) (+.f64 1/9 (*.f64 x (-.f64 x -1/3))))))
(/.f64 (sqrt.f64 (*.f64 (+.f64 (pow.f64 x 3) -1/27) (fma.f64 x x -1/9))) (sqrt.f64 (*.f64 (+.f64 x 1/3) (fma.f64 x (+.f64 x 1/3) 1/9))))
(/.f64 (sqrt.f64 (*.f64 (+.f64 x -1/3) (+.f64 (pow.f64 x 3) -1/27))) (hypot.f64 x (sqrt.f64 (-.f64 1/9 (*.f64 x -1/3)))))
(/.f64 (sqrt.f64 (*.f64 (+.f64 -1/3 x) (+.f64 (pow.f64 x 3) -1/27))) (hypot.f64 x (sqrt.f64 (-.f64 1/9 (*.f64 -1/3 x)))))
(/.f64 (sqrt.f64 (*.f64 (+.f64 -1/3 x) (+.f64 (pow.f64 x 3) -1/27))) (hypot.f64 x (sqrt.f64 (+.f64 1/9 (*.f64 x 1/3)))))
(/.f64 (sqrt.f64 (*.f64 (+.f64 -1/3 x) (+.f64 (pow.f64 x 3) -1/27))) (hypot.f64 x (sqrt.f64 (fma.f64 x 1/3 1/9))))
(/.f64 (sqrt.f64 (*.f64 (+.f64 x -1/3) (fma.f64 x x -1/9))) (sqrt.f64 (+.f64 x 1/3)))
(/.f64 (sqrt.f64 (*.f64 (+.f64 -1/3 x) (fma.f64 x x -1/9))) (sqrt.f64 (+.f64 x 1/3)))
(/.f64 (sqrt.f64 (*.f64 (+.f64 (pow.f64 x 3) -1/27) (+.f64 x -1/3))) (hypot.f64 x (sqrt.f64 (-.f64 1/9 (*.f64 x -1/3)))))
(/.f64 (sqrt.f64 (*.f64 (+.f64 -1/3 x) (+.f64 (pow.f64 x 3) -1/27))) (hypot.f64 x (sqrt.f64 (-.f64 1/9 (*.f64 -1/3 x)))))
(/.f64 (sqrt.f64 (*.f64 (+.f64 -1/3 x) (+.f64 (pow.f64 x 3) -1/27))) (hypot.f64 x (sqrt.f64 (+.f64 1/9 (*.f64 x 1/3)))))
(/.f64 (sqrt.f64 (*.f64 (+.f64 -1/3 x) (+.f64 (pow.f64 x 3) -1/27))) (hypot.f64 x (sqrt.f64 (fma.f64 x 1/3 1/9))))
(/.f64 (sqrt.f64 (*.f64 (fma.f64 x x -1/9) (+.f64 x -1/3))) (sqrt.f64 (+.f64 x 1/3)))
(/.f64 (sqrt.f64 (*.f64 (+.f64 -1/3 x) (fma.f64 x x -1/9))) (sqrt.f64 (+.f64 x 1/3)))
(/.f64 (-.f64 (*.f64 (pow.f64 x 2) (+.f64 x 1/3)) (*.f64 (+.f64 x 1/3) 1/9)) (pow.f64 (+.f64 x 1/3) 2))
(-.f64 (/.f64 (pow.f64 x 2) (+.f64 x 1/3)) (/.f64 1/9 (+.f64 x 1/3)))
(+.f64 (/.f64 (pow.f64 x 2) (+.f64 x 1/3)) (/.f64 -1/9 (+.f64 x 1/3)))
(/.f64 (fma.f64 x x -1/9) (+.f64 x 1/3))
(/.f64 (*.f64 (-.f64 (pow.f64 x 4) 1/81) 1) (*.f64 (fma.f64 x x 1/9) (+.f64 x 1/3)))
(/.f64 (+.f64 (pow.f64 x 4) -1/81) (*.f64 (+.f64 x 1/3) (fma.f64 x x 1/9)))
(/.f64 (*.f64 (sqrt.f64 (fma.f64 x x -1/9)) (sqrt.f64 (+.f64 (pow.f64 x 3) -1/27))) (*.f64 (sqrt.f64 (+.f64 x 1/3)) (hypot.f64 x (sqrt.f64 (-.f64 1/9 (*.f64 x -1/3))))))
(*.f64 (/.f64 (sqrt.f64 (+.f64 (pow.f64 x 3) -1/27)) (hypot.f64 x (sqrt.f64 (-.f64 1/9 (*.f64 -1/3 x))))) (/.f64 (sqrt.f64 (fma.f64 x x -1/9)) (sqrt.f64 (+.f64 x 1/3))))
(*.f64 (/.f64 (sqrt.f64 (fma.f64 x x -1/9)) (hypot.f64 x (sqrt.f64 (+.f64 1/9 (*.f64 x 1/3))))) (/.f64 (sqrt.f64 (+.f64 (pow.f64 x 3) -1/27)) (sqrt.f64 (+.f64 x 1/3))))
(/.f64 (sqrt.f64 (fma.f64 x x -1/9)) (*.f64 (/.f64 (sqrt.f64 (+.f64 x 1/3)) (sqrt.f64 (+.f64 (pow.f64 x 3) -1/27))) (hypot.f64 x (sqrt.f64 (fma.f64 x 1/3 1/9)))))
(/.f64 (*.f64 (sqrt.f64 (+.f64 (pow.f64 x 3) -1/27)) (sqrt.f64 (fma.f64 x x -1/9))) (*.f64 (hypot.f64 x (sqrt.f64 (-.f64 1/9 (*.f64 x -1/3)))) (sqrt.f64 (+.f64 x 1/3))))
(*.f64 (/.f64 (sqrt.f64 (+.f64 (pow.f64 x 3) -1/27)) (hypot.f64 x (sqrt.f64 (-.f64 1/9 (*.f64 -1/3 x))))) (/.f64 (sqrt.f64 (fma.f64 x x -1/9)) (sqrt.f64 (+.f64 x 1/3))))
(*.f64 (/.f64 (sqrt.f64 (fma.f64 x x -1/9)) (hypot.f64 x (sqrt.f64 (+.f64 1/9 (*.f64 x 1/3))))) (/.f64 (sqrt.f64 (+.f64 (pow.f64 x 3) -1/27)) (sqrt.f64 (+.f64 x 1/3))))
(/.f64 (sqrt.f64 (fma.f64 x x -1/9)) (*.f64 (/.f64 (sqrt.f64 (+.f64 x 1/3)) (sqrt.f64 (+.f64 (pow.f64 x 3) -1/27))) (hypot.f64 x (sqrt.f64 (fma.f64 x 1/3 1/9)))))
(/.f64 (*.f64 (+.f64 (pow.f64 x 9) -1/19683) 1) (*.f64 (+.f64 (pow.f64 x 6) (-.f64 1/729 (*.f64 (pow.f64 x 3) -1/27))) (-.f64 (fma.f64 x x 1/9) (*.f64 x -1/3))))
(/.f64 (+.f64 (pow.f64 x 9) -1/19683) (*.f64 (-.f64 (fma.f64 x x 1/9) (*.f64 -1/3 x)) (+.f64 (pow.f64 x 6) (-.f64 1/729 (*.f64 (pow.f64 x 3) -1/27)))))
(/.f64 (/.f64 (+.f64 (pow.f64 x 9) -1/19683) (+.f64 1/9 (*.f64 x (-.f64 x -1/3)))) (+.f64 (+.f64 (pow.f64 x 6) 1/729) (*.f64 (pow.f64 x 3) 1/27)))
(/.f64 (+.f64 (pow.f64 x 9) -1/19683) (*.f64 (fma.f64 x (+.f64 x 1/3) 1/9) (+.f64 (pow.f64 x 6) (fma.f64 (pow.f64 x 3) 1/27 1/729))))
(/.f64 (*.f64 (-.f64 (pow.f64 x 6) 1/729) 1) (*.f64 (+.f64 (pow.f64 x 4) (+.f64 1/81 (*.f64 (pow.f64 x 2) 1/9))) (+.f64 x 1/3)))
(/.f64 (+.f64 (pow.f64 x 6) -1/729) (*.f64 (+.f64 x 1/3) (+.f64 (pow.f64 x 4) (+.f64 1/81 (*.f64 (pow.f64 x 2) 1/9)))))
(/.f64 (/.f64 (+.f64 (pow.f64 x 6) -1/729) (+.f64 (pow.f64 x 4) (fma.f64 (pow.f64 x 2) 1/9 1/81))) (+.f64 x 1/3))
(/.f64 (+.f64 (pow.f64 x 6) -1/729) (*.f64 (+.f64 x 1/3) (+.f64 (pow.f64 x 4) (fma.f64 (pow.f64 x 2) 1/9 1/81))))
(/.f64 (*.f64 (-.f64 (pow.f64 x 6) 1/729) 1) (*.f64 (-.f64 (pow.f64 x 3) -1/27) (-.f64 (fma.f64 x x 1/9) (*.f64 x -1/3))))
(/.f64 (+.f64 (pow.f64 x 6) -1/729) (*.f64 (-.f64 (fma.f64 x x 1/9) (*.f64 -1/3 x)) (+.f64 (pow.f64 x 3) 1/27)))
(/.f64 (+.f64 (pow.f64 x 6) -1/729) (*.f64 (+.f64 1/9 (*.f64 x (-.f64 x -1/3))) (+.f64 (pow.f64 x 3) 1/27)))
(/.f64 (+.f64 (pow.f64 x 6) -1/729) (*.f64 (fma.f64 x (+.f64 x 1/3) 1/9) (+.f64 (pow.f64 x 3) 1/27)))
(/.f64 (neg.f64 (neg.f64 (+.f64 (pow.f64 x 3) -1/27))) (neg.f64 (neg.f64 (-.f64 (fma.f64 x x 1/9) (*.f64 x -1/3)))))
(*.f64 (+.f64 (pow.f64 x 3) -1/27) (/.f64 1 (-.f64 (fma.f64 x x 1/9) (*.f64 -1/3 x))))
(/.f64 (+.f64 (pow.f64 x 3) -1/27) (+.f64 1/9 (*.f64 x (-.f64 x -1/3))))
(/.f64 (+.f64 (pow.f64 x 3) -1/27) (fma.f64 x (+.f64 x 1/3) 1/9))
(/.f64 (neg.f64 (neg.f64 (fma.f64 x x -1/9))) (neg.f64 (neg.f64 (+.f64 x 1/3))))
(-.f64 (/.f64 (pow.f64 x 2) (+.f64 x 1/3)) (/.f64 1/9 (+.f64 x 1/3)))
(+.f64 (/.f64 (pow.f64 x 2) (+.f64 x 1/3)) (/.f64 -1/9 (+.f64 x 1/3)))
(/.f64 (fma.f64 x x -1/9) (+.f64 x 1/3))
(/.f64 (neg.f64 (-.f64 1/9 (pow.f64 x 2))) (neg.f64 (-.f64 -1/3 x)))
(-.f64 (/.f64 (pow.f64 x 2) (+.f64 x 1/3)) (/.f64 1/9 (+.f64 x 1/3)))
(+.f64 (/.f64 (pow.f64 x 2) (+.f64 x 1/3)) (/.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) 2) 1/2)
(+.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)
(pow.f64 (E.f64) (log.f64 (+.f64 x -1/3)))
(+.f64 -1/3 x)
(pow.f64 (/.f64 (-.f64 (fma.f64 x x 1/9) (*.f64 x -1/3)) (+.f64 (pow.f64 x 3) -1/27)) -1)
(*.f64 (+.f64 (pow.f64 x 3) -1/27) (/.f64 1 (-.f64 (fma.f64 x x 1/9) (*.f64 -1/3 x))))
(/.f64 (+.f64 (pow.f64 x 3) -1/27) (+.f64 1/9 (*.f64 x (-.f64 x -1/3))))
(/.f64 (+.f64 (pow.f64 x 3) -1/27) (fma.f64 x (+.f64 x 1/3) 1/9))
(pow.f64 (/.f64 (+.f64 x 1/3) (fma.f64 x x -1/9)) -1)
(-.f64 (/.f64 (pow.f64 x 2) (+.f64 x 1/3)) (/.f64 1/9 (+.f64 x 1/3)))
(+.f64 (/.f64 (pow.f64 x 2) (+.f64 x 1/3)) (/.f64 -1/9 (+.f64 x 1/3)))
(/.f64 (fma.f64 x x -1/9) (+.f64 x 1/3))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x -1/3))) 2)) (cbrt.f64 (log.f64 (+.f64 x -1/3))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 -1/3 x))) 2)) (cbrt.f64 (log.f64 (+.f64 -1/3 x))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (+.f64 x -1/3)))) (sqrt.f64 (log.f64 (+.f64 x -1/3))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (+.f64 -1/3 x)))) (sqrt.f64 (log.f64 (+.f64 -1/3 x))))
(sqrt.f64 (pow.f64 (+.f64 x -1/3) 2))
(+.f64 -1/3 x)
(fabs.f64 (+.f64 x -1/3))
(+.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 (cbrt.f64 (+.f64 x -1/3))) 3))
(+.f64 -1/3 x)
(exp.f64 (*.f64 (*.f64 3 (log.f64 (+.f64 x -1/3))) 1/3))
(+.f64 -1/3 x)
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 x -1/3))) 2))
(+.f64 -1/3 x)
(log1p.f64 (expm1.f64 (+.f64 x -1/3)))
(+.f64 -1/3 x)
(fma.f64 x 1 -1/3)
(+.f64 -1/3 x)
(fma.f64 1 x -1/3)
(+.f64 -1/3 x)
(fma.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) 2) -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)

eval92.0ms (4.3%)

Compiler

Compiled 1586 to 1235 computations (22.1% saved)

prune41.0ms (1.9%)

Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New1123115
Fresh000
Picked011
Done000
Total1124116
Accuracy
100.0%
Counts
116 → 4
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶78.1%
(/.f64 (fma.f64 x x -1/9) (+.f64 x 1/3))
✓100.0%
(+.f64 x -1/3)
▶55.3%
x
▶46.7%
-1/3
Compiler

Compiled 17 to 12 computations (29.4% saved)

localize146.0ms (6.7%)

Localize:

Found 3 expressions with local error:

NewAccuracyProgram
✓100.0%
(+.f64 x 1/3)
✓100.0%
(fma.f64 x x -1/9)
✓78.1%
(/.f64 (fma.f64 x x -1/9) (+.f64 x 1/3))
Compiler

Compiled 22 to 14 computations (36.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 14.0ms
Operation ival-fma, time spent: 6.0ms, 43.0% of total-time
Operation ival-div, time spent: 4.0ms, 29.0% of total-time
Operation ival-add, time spent: 3.0ms, 22.0% of total-time
Operation const, time spent: 1.0ms, 7.0% of total-time

series2.0ms (0.1%)

Counts
3 → 36
Calls

9 calls:

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

rewrite88.0ms (4.1%)

Algorithm
1×batch-egg-rewrite
Rules
754×unpow-prod-down
545×log1p-expm1-u
545×expm1-log1p-u
508×log-prod
461×pow1
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01155
110835
2149335
Stop Event
1×node limit
Counts
3 → 158
Calls
Call 1
Inputs
(/.f64 (fma.f64 x x -1/9) (+.f64 x 1/3))
(fma.f64 x x -1/9)
(+.f64 x 1/3)
Outputs
(+.f64 x -1/3)
(+.f64 0 (+.f64 x -1/3))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (+.f64 x -1/3))) 2)) (log.f64 (cbrt.f64 (exp.f64 (+.f64 x -1/3)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (+.f64 x -1/3)))) (log.f64 (sqrt.f64 (exp.f64 (+.f64 x -1/3)))))
(-.f64 x 1/3)
(-.f64 (+.f64 1 (+.f64 x -1/3)) 1)
(*.f64 (fma.f64 x x -1/9) (/.f64 1 (+.f64 x 1/3)))
(*.f64 1 (+.f64 x -1/3))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 x x -1/9)) 2) (*.f64 (cbrt.f64 (fma.f64 x x -1/9)) (/.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 (fma.f64 x x -1/9)) (*.f64 (sqrt.f64 (fma.f64 x x -1/9)) (/.f64 1 (+.f64 x 1/3))))
(*.f64 (sqrt.f64 (+.f64 x -1/3)) (sqrt.f64 (+.f64 x -1/3)))
(*.f64 (neg.f64 (fma.f64 x x -1/9)) (/.f64 1 (+.f64 -1/3 (neg.f64 x))))
(*.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 (+.f64 x -1/3) 1)
(*.f64 (+.f64 x -1/3) (log.f64 (E.f64)))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 x 1/3)) -2) (/.f64 (fma.f64 x x -1/9) (cbrt.f64 (+.f64 x 1/3))))
(*.f64 (pow.f64 (+.f64 x 1/3) -1/2) (/.f64 (fma.f64 x x -1/9) (sqrt.f64 (+.f64 x 1/3))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 x x -1/9)) 2) 1) (/.f64 (cbrt.f64 (fma.f64 x x -1/9)) (+.f64 x 1/3)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 x x -1/9)) 2) (pow.f64 (cbrt.f64 (+.f64 x 1/3)) 2)) (cbrt.f64 (+.f64 x -1/3)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 x x -1/9)) 2) (sqrt.f64 (+.f64 x 1/3))) (/.f64 (cbrt.f64 (fma.f64 x x -1/9)) (sqrt.f64 (+.f64 x 1/3))))
(*.f64 (/.f64 (sqrt.f64 (fma.f64 x x -1/9)) 1) (/.f64 (sqrt.f64 (fma.f64 x x -1/9)) (+.f64 x 1/3)))
(*.f64 (/.f64 (sqrt.f64 (fma.f64 x x -1/9)) (pow.f64 (cbrt.f64 (+.f64 x 1/3)) 2)) (/.f64 (sqrt.f64 (fma.f64 x x -1/9)) (cbrt.f64 (+.f64 x 1/3))))
(*.f64 (/.f64 (fma.f64 x x -1/9) (+.f64 (pow.f64 x 3) 1/27)) (-.f64 (fma.f64 x x 1/9) (*.f64 x 1/3)))
(*.f64 (pow.f64 1 1/3) (+.f64 x -1/3))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 x -1/3))) 2) 3) (cbrt.f64 (+.f64 x -1/3)))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (+.f64 x -1/3))) 3) (pow.f64 (sqrt.f64 (cbrt.f64 (+.f64 x -1/3))) 3))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (+.f64 x -1/3) 3)) 1/3) (pow.f64 (sqrt.f64 (pow.f64 (+.f64 x -1/3) 3)) 1/3))
(*.f64 (pow.f64 (*.f64 (pow.f64 (+.f64 x -1/3) 2) (fma.f64 x x -1/9)) 1/3) (cbrt.f64 (/.f64 1 (+.f64 x 1/3))))
(*.f64 (pow.f64 (pow.f64 (*.f64 (+.f64 x -1/3) (cbrt.f64 (+.f64 x -1/3))) 2) 1/3) (cbrt.f64 (cbrt.f64 (+.f64 x -1/3))))
(*.f64 (pow.f64 (pow.f64 (+.f64 x -1/3) 5/2) 1/3) (cbrt.f64 (sqrt.f64 (+.f64 x -1/3))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 1 (+.f64 x -1/3))) 2) -1) (cbrt.f64 (+.f64 x -1/3)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (fma.f64 x x -1/9)) -2) -1) (pow.f64 (/.f64 (+.f64 x 1/3) (cbrt.f64 (fma.f64 x x -1/9))) -1))
(*.f64 (pow.f64 (pow.f64 (fma.f64 x x -1/9) -1/2) -1) (pow.f64 (/.f64 (+.f64 x 1/3) (sqrt.f64 (fma.f64 x x -1/9))) -1))
(*.f64 (pow.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 x 1/3)) 2) 1) -1) (pow.f64 (/.f64 (cbrt.f64 (+.f64 x 1/3)) (fma.f64 x x -1/9)) -1))
(*.f64 (pow.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 x 1/3)) 2) (pow.f64 (cbrt.f64 (fma.f64 x x -1/9)) 2)) -1) (pow.f64 (/.f64 (cbrt.f64 (+.f64 x 1/3)) (cbrt.f64 (fma.f64 x x -1/9))) -1))
(*.f64 (pow.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 x 1/3)) 2) (sqrt.f64 (fma.f64 x x -1/9))) -1) (pow.f64 (/.f64 (cbrt.f64 (+.f64 x 1/3)) (sqrt.f64 (fma.f64 x x -1/9))) -1))
(*.f64 (pow.f64 (/.f64 (sqrt.f64 (+.f64 x 1/3)) 1) -1) (pow.f64 (/.f64 (sqrt.f64 (+.f64 x 1/3)) (fma.f64 x x -1/9)) -1))
(*.f64 (pow.f64 (/.f64 (sqrt.f64 (+.f64 x 1/3)) (pow.f64 (cbrt.f64 (fma.f64 x x -1/9)) 2)) -1) (pow.f64 (/.f64 (sqrt.f64 (+.f64 x 1/3)) (cbrt.f64 (fma.f64 x x -1/9))) -1))
(*.f64 (pow.f64 (/.f64 (sqrt.f64 (+.f64 x 1/3)) (sqrt.f64 (fma.f64 x x -1/9))) -1) (pow.f64 (/.f64 (sqrt.f64 (+.f64 x 1/3)) (sqrt.f64 (fma.f64 x x -1/9))) -1))
(pow.f64 (cbrt.f64 (+.f64 x -1/3)) 3)
(pow.f64 (pow.f64 (+.f64 x -1/3) 2) 1/2)
(pow.f64 (pow.f64 (+.f64 x -1/3) 3) 1/3)
(pow.f64 (sqrt.f64 (+.f64 x -1/3)) 2)
(pow.f64 (/.f64 1 (+.f64 x -1/3)) -1)
(pow.f64 (+.f64 x -1/3) 1)
(pow.f64 (E.f64) (log.f64 (+.f64 x -1/3)))
(pow.f64 (/.f64 (pow.f64 (fma.f64 x x -1/9) 3) (pow.f64 (+.f64 x 1/3) 3)) 1/3)
(pow.f64 (/.f64 (/.f64 1 (+.f64 x -1/3)) 1) -1)
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x -1/3))) 2)) (cbrt.f64 (log.f64 (+.f64 x -1/3))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (+.f64 x -1/3)))) (sqrt.f64 (log.f64 (+.f64 x -1/3))))
(neg.f64 (/.f64 (fma.f64 x x -1/9) (+.f64 -1/3 (neg.f64 x))))
(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))
(cbrt.f64 (/.f64 (pow.f64 (fma.f64 x x -1/9) 3) (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 (cbrt.f64 (+.f64 x -1/3))) 3))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (+.f64 x -1/3))) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 x -1/3))) 2))
(exp.f64 (*.f64 (neg.f64 (log.f64 (+.f64 x -1/3))) -1))
(log1p.f64 (expm1.f64 (+.f64 x -1/3)))
(fma.f64 x 1 -1/3)
(fma.f64 1 x -1/3)
(fma.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) 2) -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)
(+.f64 -1/9 (pow.f64 x 2))
(+.f64 (pow.f64 x 2) -1/9)
(+.f64 (pow.f64 x 2) (log.f64 (exp.f64 -1/9)))
(+.f64 0 (fma.f64 x x -1/9))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (fma.f64 x x -1/9))) 2)) (log.f64 (cbrt.f64 (exp.f64 (fma.f64 x x -1/9)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (fma.f64 x x -1/9)))) (log.f64 (sqrt.f64 (exp.f64 (fma.f64 x x -1/9)))))
(-.f64 (pow.f64 x 2) 1/9)
(-.f64 (+.f64 1 (fma.f64 x x -1/9)) 1)
(*.f64 (fma.f64 x x -1/9) 1)
(*.f64 (fma.f64 x x -1/9) (log.f64 (E.f64)))
(*.f64 1 (fma.f64 x x -1/9))
(*.f64 (cbrt.f64 (fma.f64 x x -1/9)) (pow.f64 (cbrt.f64 (fma.f64 x x -1/9)) 2))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 x x -1/9)) 2) (cbrt.f64 (fma.f64 x x -1/9)))
(*.f64 (sqrt.f64 (fma.f64 x x -1/9)) (sqrt.f64 (fma.f64 x x -1/9)))
(*.f64 (pow.f64 1 1/3) (fma.f64 x x -1/9))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 x x -1/9))) 2) 3) (cbrt.f64 (fma.f64 x x -1/9)))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (fma.f64 x x -1/9))) 3) (pow.f64 (sqrt.f64 (cbrt.f64 (fma.f64 x x -1/9))) 3))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (fma.f64 x x -1/9) 3)) 1/3) (pow.f64 (sqrt.f64 (pow.f64 (fma.f64 x x -1/9) 3)) 1/3))
(*.f64 (pow.f64 (pow.f64 (*.f64 (fma.f64 x x -1/9) (cbrt.f64 (fma.f64 x x -1/9))) 2) 1/3) (cbrt.f64 (cbrt.f64 (fma.f64 x x -1/9))))
(*.f64 (pow.f64 (pow.f64 (fma.f64 x x -1/9) 5/2) 1/3) (cbrt.f64 (sqrt.f64 (fma.f64 x x -1/9))))
(/.f64 (+.f64 (pow.f64 x 6) -1/729) (+.f64 (pow.f64 x 4) (-.f64 1/81 (*.f64 (pow.f64 x 2) -1/9))))
(/.f64 (-.f64 (pow.f64 x 4) 1/81) (fma.f64 x x 1/9))
(/.f64 (-.f64 (pow.f64 x 6) 1/729) (+.f64 (pow.f64 x 4) (+.f64 1/81 (*.f64 (pow.f64 x 2) 1/9))))
(pow.f64 (fma.f64 x x -1/9) 1)
(pow.f64 (cbrt.f64 (fma.f64 x x -1/9)) 3)
(pow.f64 (pow.f64 (fma.f64 x x -1/9) 2) 1/2)
(pow.f64 (pow.f64 (fma.f64 x x -1/9) 3) 1/3)
(pow.f64 (sqrt.f64 (fma.f64 x x -1/9)) 2)
(pow.f64 (E.f64) (log.f64 (fma.f64 x x -1/9)))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (fma.f64 x x -1/9))) 2)) (cbrt.f64 (log.f64 (fma.f64 x x -1/9))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (fma.f64 x x -1/9)))) (sqrt.f64 (log.f64 (fma.f64 x x -1/9))))
(sqrt.f64 (pow.f64 (fma.f64 x x -1/9) 2))
(log.f64 (exp.f64 (fma.f64 x x -1/9)))
(cbrt.f64 (pow.f64 (fma.f64 x x -1/9) 3))
(expm1.f64 (log1p.f64 (fma.f64 x x -1/9)))
(exp.f64 (log.f64 (fma.f64 x x -1/9)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (fma.f64 x x -1/9))) 3))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (fma.f64 x x -1/9))) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 x x -1/9))) 2))
(log1p.f64 (expm1.f64 (fma.f64 x x -1/9)))
(-.f64 (+.f64 1 (+.f64 x 1/3)) 1)
(-.f64 (/.f64 (pow.f64 x 2) (+.f64 x -1/3)) (/.f64 1/9 (+.f64 x -1/3)))
(*.f64 (fma.f64 x x -1/9) (/.f64 1 (+.f64 x -1/3)))
(*.f64 (+.f64 x 1/3) 1)
(*.f64 (+.f64 x 1/3) (log.f64 (E.f64)))
(*.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 (-.f64 (fma.f64 x x 1/9) (*.f64 x 1/3))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 x 1/3))) 2) 3) (cbrt.f64 (+.f64 x 1/3)))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (+.f64 x 1/3))) 3) (pow.f64 (sqrt.f64 (cbrt.f64 (+.f64 x 1/3))) 3))
(*.f64 (pow.f64 1 1/3) (+.f64 x 1/3))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (+.f64 x 1/3) 3)) 1/3) (pow.f64 (sqrt.f64 (pow.f64 (+.f64 x 1/3) 3)) 1/3))
(*.f64 (pow.f64 (pow.f64 (*.f64 (+.f64 x 1/3) (cbrt.f64 (+.f64 x 1/3))) 2) 1/3) (cbrt.f64 (cbrt.f64 (+.f64 x 1/3))))
(*.f64 (pow.f64 (pow.f64 (+.f64 x 1/3) 5/2) 1/3) (cbrt.f64 (sqrt.f64 (+.f64 x 1/3))))
(/.f64 (fma.f64 x x -1/9) (+.f64 x -1/3))
(/.f64 1 (/.f64 (-.f64 (fma.f64 x x 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 (neg.f64 (fma.f64 x x -1/9)) (neg.f64 (+.f64 x -1/3)))
(/.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) (+.f64 1/9 (-.f64 (pow.f64 x 2) (*.f64 x 1/3))))
(/.f64 (neg.f64 (+.f64 (pow.f64 x 3) 1/27)) (neg.f64 (-.f64 (fma.f64 x x 1/9) (*.f64 x 1/3))))
(/.f64 (-.f64 1/9 (pow.f64 x 2)) (-.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) 2) 1/2)
(pow.f64 (pow.f64 (+.f64 x 1/3) 3) 1/3)
(pow.f64 (sqrt.f64 (+.f64 x 1/3)) 2)
(pow.f64 (E.f64) (log.f64 (+.f64 x 1/3)))
(pow.f64 (/.f64 (-.f64 (fma.f64 x x 1/9) (*.f64 x 1/3)) (+.f64 (pow.f64 x 3) 1/27)) -1)
(pow.f64 (/.f64 (+.f64 x -1/3) (fma.f64 x x -1/9)) -1)
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x 1/3))) 2)) (cbrt.f64 (log.f64 (+.f64 x 1/3))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (+.f64 x 1/3)))) (sqrt.f64 (log.f64 (+.f64 x 1/3))))
(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 (cbrt.f64 (+.f64 x 1/3))) 3))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (+.f64 x 1/3))) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 x 1/3))) 2))
(log1p.f64 (expm1.f64 (+.f64 x 1/3)))
(fma.f64 x 1 1/3)
(fma.f64 1 x 1/3)
(fma.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) 2) 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)

simplify158.0ms (7.3%)

Algorithm
1×egg-herbie
Rules
1346×associate-*r/
682×sqr-pow
454×fma-neg
390×log-prod
380×times-frac
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
04034343
19504031
236413983
Stop Event
1×node limit
Counts
194 → 213
Calls
Call 1
Inputs
-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 x -1/3)
(+.f64 0 (+.f64 x -1/3))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (+.f64 x -1/3))) 2)) (log.f64 (cbrt.f64 (exp.f64 (+.f64 x -1/3)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (+.f64 x -1/3)))) (log.f64 (sqrt.f64 (exp.f64 (+.f64 x -1/3)))))
(-.f64 x 1/3)
(-.f64 (+.f64 1 (+.f64 x -1/3)) 1)
(*.f64 (fma.f64 x x -1/9) (/.f64 1 (+.f64 x 1/3)))
(*.f64 1 (+.f64 x -1/3))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 x x -1/9)) 2) (*.f64 (cbrt.f64 (fma.f64 x x -1/9)) (/.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 (fma.f64 x x -1/9)) (*.f64 (sqrt.f64 (fma.f64 x x -1/9)) (/.f64 1 (+.f64 x 1/3))))
(*.f64 (sqrt.f64 (+.f64 x -1/3)) (sqrt.f64 (+.f64 x -1/3)))
(*.f64 (neg.f64 (fma.f64 x x -1/9)) (/.f64 1 (+.f64 -1/3 (neg.f64 x))))
(*.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 (+.f64 x -1/3) 1)
(*.f64 (+.f64 x -1/3) (log.f64 (E.f64)))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 x 1/3)) -2) (/.f64 (fma.f64 x x -1/9) (cbrt.f64 (+.f64 x 1/3))))
(*.f64 (pow.f64 (+.f64 x 1/3) -1/2) (/.f64 (fma.f64 x x -1/9) (sqrt.f64 (+.f64 x 1/3))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 x x -1/9)) 2) 1) (/.f64 (cbrt.f64 (fma.f64 x x -1/9)) (+.f64 x 1/3)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 x x -1/9)) 2) (pow.f64 (cbrt.f64 (+.f64 x 1/3)) 2)) (cbrt.f64 (+.f64 x -1/3)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 x x -1/9)) 2) (sqrt.f64 (+.f64 x 1/3))) (/.f64 (cbrt.f64 (fma.f64 x x -1/9)) (sqrt.f64 (+.f64 x 1/3))))
(*.f64 (/.f64 (sqrt.f64 (fma.f64 x x -1/9)) 1) (/.f64 (sqrt.f64 (fma.f64 x x -1/9)) (+.f64 x 1/3)))
(*.f64 (/.f64 (sqrt.f64 (fma.f64 x x -1/9)) (pow.f64 (cbrt.f64 (+.f64 x 1/3)) 2)) (/.f64 (sqrt.f64 (fma.f64 x x -1/9)) (cbrt.f64 (+.f64 x 1/3))))
(*.f64 (/.f64 (fma.f64 x x -1/9) (+.f64 (pow.f64 x 3) 1/27)) (-.f64 (fma.f64 x x 1/9) (*.f64 x 1/3)))
(*.f64 (pow.f64 1 1/3) (+.f64 x -1/3))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 x -1/3))) 2) 3) (cbrt.f64 (+.f64 x -1/3)))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (+.f64 x -1/3))) 3) (pow.f64 (sqrt.f64 (cbrt.f64 (+.f64 x -1/3))) 3))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (+.f64 x -1/3) 3)) 1/3) (pow.f64 (sqrt.f64 (pow.f64 (+.f64 x -1/3) 3)) 1/3))
(*.f64 (pow.f64 (*.f64 (pow.f64 (+.f64 x -1/3) 2) (fma.f64 x x -1/9)) 1/3) (cbrt.f64 (/.f64 1 (+.f64 x 1/3))))
(*.f64 (pow.f64 (pow.f64 (*.f64 (+.f64 x -1/3) (cbrt.f64 (+.f64 x -1/3))) 2) 1/3) (cbrt.f64 (cbrt.f64 (+.f64 x -1/3))))
(*.f64 (pow.f64 (pow.f64 (+.f64 x -1/3) 5/2) 1/3) (cbrt.f64 (sqrt.f64 (+.f64 x -1/3))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 1 (+.f64 x -1/3))) 2) -1) (cbrt.f64 (+.f64 x -1/3)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (fma.f64 x x -1/9)) -2) -1) (pow.f64 (/.f64 (+.f64 x 1/3) (cbrt.f64 (fma.f64 x x -1/9))) -1))
(*.f64 (pow.f64 (pow.f64 (fma.f64 x x -1/9) -1/2) -1) (pow.f64 (/.f64 (+.f64 x 1/3) (sqrt.f64 (fma.f64 x x -1/9))) -1))
(*.f64 (pow.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 x 1/3)) 2) 1) -1) (pow.f64 (/.f64 (cbrt.f64 (+.f64 x 1/3)) (fma.f64 x x -1/9)) -1))
(*.f64 (pow.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 x 1/3)) 2) (pow.f64 (cbrt.f64 (fma.f64 x x -1/9)) 2)) -1) (pow.f64 (/.f64 (cbrt.f64 (+.f64 x 1/3)) (cbrt.f64 (fma.f64 x x -1/9))) -1))
(*.f64 (pow.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 x 1/3)) 2) (sqrt.f64 (fma.f64 x x -1/9))) -1) (pow.f64 (/.f64 (cbrt.f64 (+.f64 x 1/3)) (sqrt.f64 (fma.f64 x x -1/9))) -1))
(*.f64 (pow.f64 (/.f64 (sqrt.f64 (+.f64 x 1/3)) 1) -1) (pow.f64 (/.f64 (sqrt.f64 (+.f64 x 1/3)) (fma.f64 x x -1/9)) -1))
(*.f64 (pow.f64 (/.f64 (sqrt.f64 (+.f64 x 1/3)) (pow.f64 (cbrt.f64 (fma.f64 x x -1/9)) 2)) -1) (pow.f64 (/.f64 (sqrt.f64 (+.f64 x 1/3)) (cbrt.f64 (fma.f64 x x -1/9))) -1))
(*.f64 (pow.f64 (/.f64 (sqrt.f64 (+.f64 x 1/3)) (sqrt.f64 (fma.f64 x x -1/9))) -1) (pow.f64 (/.f64 (sqrt.f64 (+.f64 x 1/3)) (sqrt.f64 (fma.f64 x x -1/9))) -1))
(pow.f64 (cbrt.f64 (+.f64 x -1/3)) 3)
(pow.f64 (pow.f64 (+.f64 x -1/3) 2) 1/2)
(pow.f64 (pow.f64 (+.f64 x -1/3) 3) 1/3)
(pow.f64 (sqrt.f64 (+.f64 x -1/3)) 2)
(pow.f64 (/.f64 1 (+.f64 x -1/3)) -1)
(pow.f64 (+.f64 x -1/3) 1)
(pow.f64 (E.f64) (log.f64 (+.f64 x -1/3)))
(pow.f64 (/.f64 (pow.f64 (fma.f64 x x -1/9) 3) (pow.f64 (+.f64 x 1/3) 3)) 1/3)
(pow.f64 (/.f64 (/.f64 1 (+.f64 x -1/3)) 1) -1)
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x -1/3))) 2)) (cbrt.f64 (log.f64 (+.f64 x -1/3))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (+.f64 x -1/3)))) (sqrt.f64 (log.f64 (+.f64 x -1/3))))
(neg.f64 (/.f64 (fma.f64 x x -1/9) (+.f64 -1/3 (neg.f64 x))))
(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))
(cbrt.f64 (/.f64 (pow.f64 (fma.f64 x x -1/9) 3) (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 (cbrt.f64 (+.f64 x -1/3))) 3))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (+.f64 x -1/3))) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 x -1/3))) 2))
(exp.f64 (*.f64 (neg.f64 (log.f64 (+.f64 x -1/3))) -1))
(log1p.f64 (expm1.f64 (+.f64 x -1/3)))
(fma.f64 x 1 -1/3)
(fma.f64 1 x -1/3)
(fma.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) 2) -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)
(+.f64 -1/9 (pow.f64 x 2))
(+.f64 (pow.f64 x 2) -1/9)
(+.f64 (pow.f64 x 2) (log.f64 (exp.f64 -1/9)))
(+.f64 0 (fma.f64 x x -1/9))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (fma.f64 x x -1/9))) 2)) (log.f64 (cbrt.f64 (exp.f64 (fma.f64 x x -1/9)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (fma.f64 x x -1/9)))) (log.f64 (sqrt.f64 (exp.f64 (fma.f64 x x -1/9)))))
(-.f64 (pow.f64 x 2) 1/9)
(-.f64 (+.f64 1 (fma.f64 x x -1/9)) 1)
(*.f64 (fma.f64 x x -1/9) 1)
(*.f64 (fma.f64 x x -1/9) (log.f64 (E.f64)))
(*.f64 1 (fma.f64 x x -1/9))
(*.f64 (cbrt.f64 (fma.f64 x x -1/9)) (pow.f64 (cbrt.f64 (fma.f64 x x -1/9)) 2))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 x x -1/9)) 2) (cbrt.f64 (fma.f64 x x -1/9)))
(*.f64 (sqrt.f64 (fma.f64 x x -1/9)) (sqrt.f64 (fma.f64 x x -1/9)))
(*.f64 (pow.f64 1 1/3) (fma.f64 x x -1/9))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 x x -1/9))) 2) 3) (cbrt.f64 (fma.f64 x x -1/9)))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (fma.f64 x x -1/9))) 3) (pow.f64 (sqrt.f64 (cbrt.f64 (fma.f64 x x -1/9))) 3))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (fma.f64 x x -1/9) 3)) 1/3) (pow.f64 (sqrt.f64 (pow.f64 (fma.f64 x x -1/9) 3)) 1/3))
(*.f64 (pow.f64 (pow.f64 (*.f64 (fma.f64 x x -1/9) (cbrt.f64 (fma.f64 x x -1/9))) 2) 1/3) (cbrt.f64 (cbrt.f64 (fma.f64 x x -1/9))))
(*.f64 (pow.f64 (pow.f64 (fma.f64 x x -1/9) 5/2) 1/3) (cbrt.f64 (sqrt.f64 (fma.f64 x x -1/9))))
(/.f64 (+.f64 (pow.f64 x 6) -1/729) (+.f64 (pow.f64 x 4) (-.f64 1/81 (*.f64 (pow.f64 x 2) -1/9))))
(/.f64 (-.f64 (pow.f64 x 4) 1/81) (fma.f64 x x 1/9))
(/.f64 (-.f64 (pow.f64 x 6) 1/729) (+.f64 (pow.f64 x 4) (+.f64 1/81 (*.f64 (pow.f64 x 2) 1/9))))
(pow.f64 (fma.f64 x x -1/9) 1)
(pow.f64 (cbrt.f64 (fma.f64 x x -1/9)) 3)
(pow.f64 (pow.f64 (fma.f64 x x -1/9) 2) 1/2)
(pow.f64 (pow.f64 (fma.f64 x x -1/9) 3) 1/3)
(pow.f64 (sqrt.f64 (fma.f64 x x -1/9)) 2)
(pow.f64 (E.f64) (log.f64 (fma.f64 x x -1/9)))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (fma.f64 x x -1/9))) 2)) (cbrt.f64 (log.f64 (fma.f64 x x -1/9))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (fma.f64 x x -1/9)))) (sqrt.f64 (log.f64 (fma.f64 x x -1/9))))
(sqrt.f64 (pow.f64 (fma.f64 x x -1/9) 2))
(log.f64 (exp.f64 (fma.f64 x x -1/9)))
(cbrt.f64 (pow.f64 (fma.f64 x x -1/9) 3))
(expm1.f64 (log1p.f64 (fma.f64 x x -1/9)))
(exp.f64 (log.f64 (fma.f64 x x -1/9)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (fma.f64 x x -1/9))) 3))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (fma.f64 x x -1/9))) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 x x -1/9))) 2))
(log1p.f64 (expm1.f64 (fma.f64 x x -1/9)))
(-.f64 (+.f64 1 (+.f64 x 1/3)) 1)
(-.f64 (/.f64 (pow.f64 x 2) (+.f64 x -1/3)) (/.f64 1/9 (+.f64 x -1/3)))
(*.f64 (fma.f64 x x -1/9) (/.f64 1 (+.f64 x -1/3)))
(*.f64 (+.f64 x 1/3) 1)
(*.f64 (+.f64 x 1/3) (log.f64 (E.f64)))
(*.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 (-.f64 (fma.f64 x x 1/9) (*.f64 x 1/3))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 x 1/3))) 2) 3) (cbrt.f64 (+.f64 x 1/3)))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (+.f64 x 1/3))) 3) (pow.f64 (sqrt.f64 (cbrt.f64 (+.f64 x 1/3))) 3))
(*.f64 (pow.f64 1 1/3) (+.f64 x 1/3))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (+.f64 x 1/3) 3)) 1/3) (pow.f64 (sqrt.f64 (pow.f64 (+.f64 x 1/3) 3)) 1/3))
(*.f64 (pow.f64 (pow.f64 (*.f64 (+.f64 x 1/3) (cbrt.f64 (+.f64 x 1/3))) 2) 1/3) (cbrt.f64 (cbrt.f64 (+.f64 x 1/3))))
(*.f64 (pow.f64 (pow.f64 (+.f64 x 1/3) 5/2) 1/3) (cbrt.f64 (sqrt.f64 (+.f64 x 1/3))))
(/.f64 (fma.f64 x x -1/9) (+.f64 x -1/3))
(/.f64 1 (/.f64 (-.f64 (fma.f64 x x 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 (neg.f64 (fma.f64 x x -1/9)) (neg.f64 (+.f64 x -1/3)))
(/.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) (+.f64 1/9 (-.f64 (pow.f64 x 2) (*.f64 x 1/3))))
(/.f64 (neg.f64 (+.f64 (pow.f64 x 3) 1/27)) (neg.f64 (-.f64 (fma.f64 x x 1/9) (*.f64 x 1/3))))
(/.f64 (-.f64 1/9 (pow.f64 x 2)) (-.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) 2) 1/2)
(pow.f64 (pow.f64 (+.f64 x 1/3) 3) 1/3)
(pow.f64 (sqrt.f64 (+.f64 x 1/3)) 2)
(pow.f64 (E.f64) (log.f64 (+.f64 x 1/3)))
(pow.f64 (/.f64 (-.f64 (fma.f64 x x 1/9) (*.f64 x 1/3)) (+.f64 (pow.f64 x 3) 1/27)) -1)
(pow.f64 (/.f64 (+.f64 x -1/3) (fma.f64 x x -1/9)) -1)
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x 1/3))) 2)) (cbrt.f64 (log.f64 (+.f64 x 1/3))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (+.f64 x 1/3)))) (sqrt.f64 (log.f64 (+.f64 x 1/3))))
(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 (cbrt.f64 (+.f64 x 1/3))) 3))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (+.f64 x 1/3))) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 x 1/3))) 2))
(log1p.f64 (expm1.f64 (+.f64 x 1/3)))
(fma.f64 x 1 1/3)
(fma.f64 1 x 1/3)
(fma.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) 2) 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 x 1/3)
(+.f64 -1/3 x)
(-.f64 x 1/3)
(+.f64 -1/3 x)
(-.f64 x 1/3)
(+.f64 -1/3 x)
x
(-.f64 x 1/3)
(+.f64 -1/3 x)
(-.f64 x 1/3)
(+.f64 -1/3 x)
(-.f64 x 1/3)
(+.f64 -1/3 x)
x
(-.f64 x 1/3)
(+.f64 -1/3 x)
(-.f64 x 1/3)
(+.f64 -1/3 x)
(-.f64 x 1/3)
(+.f64 -1/3 x)
-1/9
(-.f64 (pow.f64 x 2) 1/9)
(fma.f64 x x -1/9)
(-.f64 (pow.f64 x 2) 1/9)
(fma.f64 x x -1/9)
(-.f64 (pow.f64 x 2) 1/9)
(fma.f64 x x -1/9)
(pow.f64 x 2)
(-.f64 (pow.f64 x 2) 1/9)
(fma.f64 x x -1/9)
(-.f64 (pow.f64 x 2) 1/9)
(fma.f64 x x -1/9)
(-.f64 (pow.f64 x 2) 1/9)
(fma.f64 x x -1/9)
(pow.f64 x 2)
(-.f64 (pow.f64 x 2) 1/9)
(fma.f64 x x -1/9)
(-.f64 (pow.f64 x 2) 1/9)
(fma.f64 x x -1/9)
(-.f64 (pow.f64 x 2) 1/9)
(fma.f64 x x -1/9)
1/3
(+.f64 1/3 x)
(+.f64 x 1/3)
(+.f64 1/3 x)
(+.f64 x 1/3)
(+.f64 1/3 x)
(+.f64 x 1/3)
x
(+.f64 1/3 x)
(+.f64 x 1/3)
(+.f64 1/3 x)
(+.f64 x 1/3)
(+.f64 1/3 x)
(+.f64 x 1/3)
x
(+.f64 1/3 x)
(+.f64 x 1/3)
(+.f64 1/3 x)
(+.f64 x 1/3)
(+.f64 1/3 x)
(+.f64 x 1/3)
(+.f64 x -1/3)
(+.f64 -1/3 x)
(+.f64 0 (+.f64 x -1/3))
(+.f64 -1/3 x)
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (+.f64 x -1/3))) 2)) (log.f64 (cbrt.f64 (exp.f64 (+.f64 x -1/3)))))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (exp.f64 (+.f64 -1/3 x))))) (log.f64 (cbrt.f64 (exp.f64 (+.f64 -1/3 x)))))
(*.f64 3 (log.f64 (cbrt.f64 (exp.f64 (+.f64 -1/3 x)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (+.f64 x -1/3)))) (log.f64 (sqrt.f64 (exp.f64 (+.f64 x -1/3)))))
(*.f64 2 (log.f64 (sqrt.f64 (exp.f64 (+.f64 -1/3 x)))))
(-.f64 x 1/3)
(+.f64 -1/3 x)
(-.f64 (+.f64 1 (+.f64 x -1/3)) 1)
(+.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))
(*.f64 1 (+.f64 x -1/3))
(+.f64 -1/3 x)
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 x x -1/9)) 2) (*.f64 (cbrt.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 (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 (fma.f64 x x -1/9)) (*.f64 (sqrt.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 (sqrt.f64 (+.f64 x -1/3)) (sqrt.f64 (+.f64 x -1/3)))
(+.f64 -1/3 x)
(*.f64 (neg.f64 (fma.f64 x x -1/9)) (/.f64 1 (+.f64 -1/3 (neg.f64 x))))
(*.f64 (neg.f64 (fma.f64 x x -1/9)) (/.f64 1 (-.f64 -1/3 x)))
(/.f64 (-.f64 1/9 (pow.f64 x 2)) (-.f64 -1/3 x))
(*.f64 (/.f64 1 (+.f64 x 1/3)) (fma.f64 x x -1/9))
(/.f64 (fma.f64 x x -1/9) (+.f64 x 1/3))
(*.f64 (/.f64 1 (+.f64 x 1/3)) (pow.f64 (/.f64 1 (fma.f64 x x -1/9)) -1))
(/.f64 (fma.f64 x x -1/9) (+.f64 x 1/3))
(*.f64 (+.f64 x -1/3) 1)
(+.f64 -1/3 x)
(*.f64 (+.f64 x -1/3) (log.f64 (E.f64)))
(+.f64 -1/3 x)
(*.f64 (pow.f64 (cbrt.f64 (+.f64 x 1/3)) -2) (/.f64 (fma.f64 x x -1/9) (cbrt.f64 (+.f64 x 1/3))))
(/.f64 (fma.f64 x x -1/9) (+.f64 x 1/3))
(*.f64 (pow.f64 (+.f64 x 1/3) -1/2) (/.f64 (fma.f64 x x -1/9) (sqrt.f64 (+.f64 x 1/3))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 x x -1/9)) 2) 1) (/.f64 (cbrt.f64 (fma.f64 x x -1/9)) (+.f64 x 1/3)))
(/.f64 (fma.f64 x x -1/9) (+.f64 x 1/3))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 x x -1/9)) 2) (pow.f64 (cbrt.f64 (+.f64 x 1/3)) 2)) (cbrt.f64 (+.f64 x -1/3)))
(/.f64 (*.f64 (pow.f64 (cbrt.f64 (fma.f64 x x -1/9)) 2) (cbrt.f64 (+.f64 -1/3 x))) (pow.f64 (cbrt.f64 (+.f64 x 1/3)) 2))
(/.f64 (pow.f64 (cbrt.f64 (fma.f64 x x -1/9)) 2) (/.f64 (pow.f64 (cbrt.f64 (+.f64 x 1/3)) 2) (cbrt.f64 (+.f64 -1/3 x))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 x x -1/9)) 2) (sqrt.f64 (+.f64 x 1/3))) (/.f64 (cbrt.f64 (fma.f64 x x -1/9)) (sqrt.f64 (+.f64 x 1/3))))
(/.f64 (fma.f64 x x -1/9) (+.f64 x 1/3))
(*.f64 (/.f64 (sqrt.f64 (fma.f64 x x -1/9)) 1) (/.f64 (sqrt.f64 (fma.f64 x x -1/9)) (+.f64 x 1/3)))
(/.f64 (fma.f64 x x -1/9) (+.f64 x 1/3))
(*.f64 (/.f64 (sqrt.f64 (fma.f64 x x -1/9)) (pow.f64 (cbrt.f64 (+.f64 x 1/3)) 2)) (/.f64 (sqrt.f64 (fma.f64 x x -1/9)) (cbrt.f64 (+.f64 x 1/3))))
(/.f64 (fma.f64 x x -1/9) (+.f64 x 1/3))
(*.f64 (/.f64 (fma.f64 x x -1/9) (+.f64 (pow.f64 x 3) 1/27)) (-.f64 (fma.f64 x x 1/9) (*.f64 x 1/3)))
(*.f64 (/.f64 (fma.f64 x x -1/9) (+.f64 (pow.f64 x 3) 1/27)) (+.f64 1/9 (*.f64 x (+.f64 -1/3 x))))
(*.f64 (pow.f64 1 1/3) (+.f64 x -1/3))
(+.f64 -1/3 x)
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 x -1/3))) 2) 3) (cbrt.f64 (+.f64 x -1/3)))
(+.f64 -1/3 x)
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (+.f64 x -1/3))) 3) (pow.f64 (sqrt.f64 (cbrt.f64 (+.f64 x -1/3))) 3))
(+.f64 -1/3 x)
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (+.f64 x -1/3) 3)) 1/3) (pow.f64 (sqrt.f64 (pow.f64 (+.f64 x -1/3) 3)) 1/3))
(*.f64 (cbrt.f64 (sqrt.f64 (pow.f64 (+.f64 -1/3 x) 3))) (cbrt.f64 (sqrt.f64 (pow.f64 (+.f64 -1/3 x) 3))))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 -1/3 x) 3/2)) (cbrt.f64 (pow.f64 (+.f64 -1/3 x) 3/2)))
(*.f64 (pow.f64 (*.f64 (pow.f64 (+.f64 x -1/3) 2) (fma.f64 x x -1/9)) 1/3) (cbrt.f64 (/.f64 1 (+.f64 x 1/3))))
(*.f64 (cbrt.f64 (*.f64 (fma.f64 x x -1/9) (pow.f64 (+.f64 -1/3 x) 2))) (cbrt.f64 (/.f64 1 (+.f64 x 1/3))))
(*.f64 (pow.f64 (pow.f64 (*.f64 (+.f64 x -1/3) (cbrt.f64 (+.f64 x -1/3))) 2) 1/3) (cbrt.f64 (cbrt.f64 (+.f64 x -1/3))))
(*.f64 (cbrt.f64 (cbrt.f64 (+.f64 -1/3 x))) (cbrt.f64 (pow.f64 (*.f64 (+.f64 -1/3 x) (cbrt.f64 (+.f64 -1/3 x))) 2)))
(*.f64 (cbrt.f64 (cbrt.f64 (+.f64 -1/3 x))) (cbrt.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 -1/3 x)) 4) 2)))
(*.f64 (cbrt.f64 (cbrt.f64 (+.f64 -1/3 x))) (cbrt.f64 (pow.f64 (cbrt.f64 (+.f64 -1/3 x)) 8)))
(*.f64 (pow.f64 (pow.f64 (+.f64 x -1/3) 5/2) 1/3) (cbrt.f64 (sqrt.f64 (+.f64 x -1/3))))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 -1/3 x) 5/2)) (cbrt.f64 (sqrt.f64 (+.f64 -1/3 x))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 1 (+.f64 x -1/3))) 2) -1) (cbrt.f64 (+.f64 x -1/3)))
(*.f64 (cbrt.f64 (+.f64 -1/3 x)) (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 1 (+.f64 -1/3 x))) 2)))
(/.f64 (cbrt.f64 (+.f64 -1/3 x)) (pow.f64 (cbrt.f64 (/.f64 1 (+.f64 -1/3 x))) 2))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (fma.f64 x x -1/9)) -2) -1) (pow.f64 (/.f64 (+.f64 x 1/3) (cbrt.f64 (fma.f64 x x -1/9))) -1))
(/.f64 (fma.f64 x x -1/9) (+.f64 x 1/3))
(*.f64 (pow.f64 (pow.f64 (fma.f64 x x -1/9) -1/2) -1) (pow.f64 (/.f64 (+.f64 x 1/3) (sqrt.f64 (fma.f64 x x -1/9))) -1))
(*.f64 (/.f64 1 (pow.f64 (fma.f64 x x -1/9) -1/2)) (/.f64 1 (/.f64 (+.f64 x 1/3) (sqrt.f64 (fma.f64 x x -1/9)))))
(/.f64 (/.f64 (sqrt.f64 (fma.f64 x x -1/9)) (+.f64 x 1/3)) (pow.f64 (fma.f64 x x -1/9) -1/2))
(*.f64 (pow.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 x 1/3)) 2) 1) -1) (pow.f64 (/.f64 (cbrt.f64 (+.f64 x 1/3)) (fma.f64 x x -1/9)) -1))
(/.f64 (fma.f64 x x -1/9) (+.f64 x 1/3))
(*.f64 (pow.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 x 1/3)) 2) (pow.f64 (cbrt.f64 (fma.f64 x x -1/9)) 2)) -1) (pow.f64 (/.f64 (cbrt.f64 (+.f64 x 1/3)) (cbrt.f64 (fma.f64 x x -1/9))) -1))
(/.f64 (fma.f64 x x -1/9) (+.f64 x 1/3))
(*.f64 (pow.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 x 1/3)) 2) (sqrt.f64 (fma.f64 x x -1/9))) -1) (pow.f64 (/.f64 (cbrt.f64 (+.f64 x 1/3)) (sqrt.f64 (fma.f64 x x -1/9))) -1))
(/.f64 (fma.f64 x x -1/9) (+.f64 x 1/3))
(*.f64 (pow.f64 (/.f64 (sqrt.f64 (+.f64 x 1/3)) 1) -1) (pow.f64 (/.f64 (sqrt.f64 (+.f64 x 1/3)) (fma.f64 x x -1/9)) -1))
(/.f64 (fma.f64 x x -1/9) (+.f64 x 1/3))
(*.f64 (pow.f64 (/.f64 (sqrt.f64 (+.f64 x 1/3)) (pow.f64 (cbrt.f64 (fma.f64 x x -1/9)) 2)) -1) (pow.f64 (/.f64 (sqrt.f64 (+.f64 x 1/3)) (cbrt.f64 (fma.f64 x x -1/9))) -1))
(/.f64 (fma.f64 x x -1/9) (+.f64 x 1/3))
(*.f64 (pow.f64 (/.f64 (sqrt.f64 (+.f64 x 1/3)) (sqrt.f64 (fma.f64 x x -1/9))) -1) (pow.f64 (/.f64 (sqrt.f64 (+.f64 x 1/3)) (sqrt.f64 (fma.f64 x x -1/9))) -1))
(/.f64 (fma.f64 x x -1/9) (+.f64 x 1/3))
(pow.f64 (cbrt.f64 (+.f64 x -1/3)) 3)
(+.f64 -1/3 x)
(pow.f64 (pow.f64 (+.f64 x -1/3) 2) 1/2)
(+.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)
(pow.f64 (/.f64 1 (+.f64 x -1/3)) -1)
(+.f64 -1/3 x)
(pow.f64 (+.f64 x -1/3) 1)
(+.f64 -1/3 x)
(pow.f64 (E.f64) (log.f64 (+.f64 x -1/3)))
(+.f64 -1/3 x)
(pow.f64 (/.f64 (pow.f64 (fma.f64 x x -1/9) 3) (pow.f64 (+.f64 x 1/3) 3)) 1/3)
(cbrt.f64 (/.f64 (pow.f64 (fma.f64 x x -1/9) 3) (pow.f64 (+.f64 x 1/3) 3)))
(pow.f64 (/.f64 (/.f64 1 (+.f64 x -1/3)) 1) -1)
(+.f64 -1/3 x)
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x -1/3))) 2)) (cbrt.f64 (log.f64 (+.f64 x -1/3))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 -1/3 x))) 2)) (cbrt.f64 (log.f64 (+.f64 -1/3 x))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log1p.f64 (+.f64 x -4/3))) 2)) (cbrt.f64 (log1p.f64 (+.f64 x -4/3))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (+.f64 x -1/3)))) (sqrt.f64 (log.f64 (+.f64 x -1/3))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (+.f64 -1/3 x)))) (sqrt.f64 (log.f64 (+.f64 -1/3 x))))
(pow.f64 (exp.f64 (sqrt.f64 (log1p.f64 (+.f64 x -4/3)))) (sqrt.f64 (log1p.f64 (+.f64 x -4/3))))
(neg.f64 (/.f64 (fma.f64 x x -1/9) (+.f64 -1/3 (neg.f64 x))))
(*.f64 (neg.f64 (fma.f64 x x -1/9)) (/.f64 1 (-.f64 -1/3 x)))
(/.f64 (-.f64 1/9 (pow.f64 x 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)
(cbrt.f64 (/.f64 (pow.f64 (fma.f64 x x -1/9) 3) (pow.f64 (+.f64 x 1/3) 3)))
(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 (cbrt.f64 (+.f64 x -1/3))) 3))
(+.f64 -1/3 x)
(exp.f64 (*.f64 (*.f64 3 (log.f64 (+.f64 x -1/3))) 1/3))
(+.f64 -1/3 x)
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 x -1/3))) 2))
(+.f64 -1/3 x)
(exp.f64 (*.f64 (neg.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 x 1 -1/3)
(+.f64 -1/3 x)
(fma.f64 1 x -1/3)
(+.f64 -1/3 x)
(fma.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) 2) -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)
(+.f64 -1/9 (pow.f64 x 2))
(fma.f64 x x -1/9)
(+.f64 (pow.f64 x 2) -1/9)
(fma.f64 x x -1/9)
(+.f64 (pow.f64 x 2) (log.f64 (exp.f64 -1/9)))
(fma.f64 x x -1/9)
(+.f64 0 (fma.f64 x x -1/9))
(fma.f64 x x -1/9)
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (fma.f64 x x -1/9))) 2)) (log.f64 (cbrt.f64 (exp.f64 (fma.f64 x x -1/9)))))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (exp.f64 (fma.f64 x x -1/9))))) (log.f64 (cbrt.f64 (exp.f64 (fma.f64 x x -1/9)))))
(*.f64 3 (log.f64 (cbrt.f64 (exp.f64 (fma.f64 x x -1/9)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (fma.f64 x x -1/9)))) (log.f64 (sqrt.f64 (exp.f64 (fma.f64 x x -1/9)))))
(*.f64 2 (log.f64 (sqrt.f64 (exp.f64 (fma.f64 x x -1/9)))))
(-.f64 (pow.f64 x 2) 1/9)
(fma.f64 x x -1/9)
(-.f64 (+.f64 1 (fma.f64 x x -1/9)) 1)
(fma.f64 x x -1/9)
(*.f64 (fma.f64 x x -1/9) 1)
(fma.f64 x x -1/9)
(*.f64 (fma.f64 x x -1/9) (log.f64 (E.f64)))
(fma.f64 x x -1/9)
(*.f64 1 (fma.f64 x x -1/9))
(fma.f64 x x -1/9)
(*.f64 (cbrt.f64 (fma.f64 x x -1/9)) (pow.f64 (cbrt.f64 (fma.f64 x x -1/9)) 2))
(fma.f64 x x -1/9)
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 x x -1/9)) 2) (cbrt.f64 (fma.f64 x x -1/9)))
(fma.f64 x x -1/9)
(*.f64 (sqrt.f64 (fma.f64 x x -1/9)) (sqrt.f64 (fma.f64 x x -1/9)))
(fma.f64 x x -1/9)
(*.f64 (pow.f64 1 1/3) (fma.f64 x x -1/9))
(fma.f64 x x -1/9)
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 x x -1/9))) 2) 3) (cbrt.f64 (fma.f64 x x -1/9)))
(fma.f64 x x -1/9)
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (fma.f64 x x -1/9))) 3) (pow.f64 (sqrt.f64 (cbrt.f64 (fma.f64 x x -1/9))) 3))
(fma.f64 x x -1/9)
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (fma.f64 x x -1/9) 3)) 1/3) (pow.f64 (sqrt.f64 (pow.f64 (fma.f64 x x -1/9) 3)) 1/3))
(*.f64 (cbrt.f64 (sqrt.f64 (pow.f64 (fma.f64 x x -1/9) 3))) (cbrt.f64 (sqrt.f64 (pow.f64 (fma.f64 x x -1/9) 3))))
(*.f64 (cbrt.f64 (pow.f64 (fma.f64 x x -1/9) 3/2)) (cbrt.f64 (pow.f64 (fma.f64 x x -1/9) 3/2)))
(*.f64 (pow.f64 (pow.f64 (*.f64 (fma.f64 x x -1/9) (cbrt.f64 (fma.f64 x x -1/9))) 2) 1/3) (cbrt.f64 (cbrt.f64 (fma.f64 x x -1/9))))
(*.f64 (cbrt.f64 (cbrt.f64 (fma.f64 x x -1/9))) (cbrt.f64 (pow.f64 (*.f64 (fma.f64 x x -1/9) (cbrt.f64 (fma.f64 x x -1/9))) 2)))
(*.f64 (cbrt.f64 (cbrt.f64 (fma.f64 x x -1/9))) (cbrt.f64 (pow.f64 (pow.f64 (cbrt.f64 (fma.f64 x x -1/9)) 4) 2)))
(*.f64 (cbrt.f64 (cbrt.f64 (fma.f64 x x -1/9))) (cbrt.f64 (pow.f64 (cbrt.f64 (fma.f64 x x -1/9)) 8)))
(*.f64 (pow.f64 (pow.f64 (fma.f64 x x -1/9) 5/2) 1/3) (cbrt.f64 (sqrt.f64 (fma.f64 x x -1/9))))
(*.f64 (cbrt.f64 (pow.f64 (fma.f64 x x -1/9) 5/2)) (cbrt.f64 (sqrt.f64 (fma.f64 x x -1/9))))
(/.f64 (+.f64 (pow.f64 x 6) -1/729) (+.f64 (pow.f64 x 4) (-.f64 1/81 (*.f64 (pow.f64 x 2) -1/9))))
(/.f64 (+.f64 (pow.f64 x 6) -1/729) (+.f64 (pow.f64 x 4) (-.f64 1/81 (*.f64 -1/9 (pow.f64 x 2)))))
(/.f64 (+.f64 (pow.f64 x 6) -1/729) (+.f64 (pow.f64 x 4) (fma.f64 (pow.f64 x 2) 1/9 1/81)))
(/.f64 (-.f64 (pow.f64 x 4) 1/81) (fma.f64 x x 1/9))
(/.f64 (+.f64 (pow.f64 x 4) -1/81) (fma.f64 x x 1/9))
(/.f64 (-.f64 (pow.f64 x 6) 1/729) (+.f64 (pow.f64 x 4) (+.f64 1/81 (*.f64 (pow.f64 x 2) 1/9))))
(/.f64 (+.f64 (pow.f64 x 6) -1/729) (+.f64 (pow.f64 x 4) (-.f64 1/81 (*.f64 -1/9 (pow.f64 x 2)))))
(/.f64 (+.f64 (pow.f64 x 6) -1/729) (+.f64 (pow.f64 x 4) (fma.f64 (pow.f64 x 2) 1/9 1/81)))
(pow.f64 (fma.f64 x x -1/9) 1)
(fma.f64 x x -1/9)
(pow.f64 (cbrt.f64 (fma.f64 x x -1/9)) 3)
(fma.f64 x x -1/9)
(pow.f64 (pow.f64 (fma.f64 x x -1/9) 2) 1/2)
(fma.f64 x x -1/9)
(pow.f64 (pow.f64 (fma.f64 x x -1/9) 3) 1/3)
(fma.f64 x x -1/9)
(pow.f64 (sqrt.f64 (fma.f64 x x -1/9)) 2)
(fma.f64 x x -1/9)
(pow.f64 (E.f64) (log.f64 (fma.f64 x x -1/9)))
(fma.f64 x x -1/9)
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (fma.f64 x x -1/9))) 2)) (cbrt.f64 (log.f64 (fma.f64 x x -1/9))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (fma.f64 x x -1/9)))) (sqrt.f64 (log.f64 (fma.f64 x x -1/9))))
(sqrt.f64 (pow.f64 (fma.f64 x x -1/9) 2))
(fma.f64 x x -1/9)
(log.f64 (exp.f64 (fma.f64 x x -1/9)))
(fma.f64 x x -1/9)
(cbrt.f64 (pow.f64 (fma.f64 x x -1/9) 3))
(fma.f64 x x -1/9)
(expm1.f64 (log1p.f64 (fma.f64 x x -1/9)))
(fma.f64 x x -1/9)
(exp.f64 (log.f64 (fma.f64 x x -1/9)))
(fma.f64 x x -1/9)
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (fma.f64 x x -1/9))) 3))
(fma.f64 x x -1/9)
(exp.f64 (*.f64 (*.f64 3 (log.f64 (fma.f64 x x -1/9))) 1/3))
(fma.f64 x x -1/9)
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 x x -1/9))) 2))
(fma.f64 x x -1/9)
(log1p.f64 (expm1.f64 (fma.f64 x x -1/9)))
(fma.f64 x x -1/9)
(-.f64 (+.f64 1 (+.f64 x 1/3)) 1)
(+.f64 x 1/3)
(-.f64 (/.f64 (pow.f64 x 2) (+.f64 x -1/3)) (/.f64 1/9 (+.f64 x -1/3)))
(-.f64 (/.f64 (pow.f64 x 2) (+.f64 -1/3 x)) (/.f64 1/9 (+.f64 -1/3 x)))
(/.f64 (fma.f64 x x -1/9) (+.f64 -1/3 x))
(*.f64 (fma.f64 x x -1/9) (/.f64 1 (+.f64 x -1/3)))
(-.f64 (/.f64 (pow.f64 x 2) (+.f64 -1/3 x)) (/.f64 1/9 (+.f64 -1/3 x)))
(/.f64 (fma.f64 x x -1/9) (+.f64 -1/3 x))
(*.f64 (+.f64 x 1/3) 1)
(+.f64 x 1/3)
(*.f64 (+.f64 x 1/3) (log.f64 (E.f64)))
(+.f64 x 1/3)
(*.f64 1 (+.f64 x 1/3))
(+.f64 x 1/3)
(*.f64 (cbrt.f64 (+.f64 x 1/3)) (pow.f64 (cbrt.f64 (+.f64 x 1/3)) 2))
(+.f64 x 1/3)
(*.f64 (pow.f64 (cbrt.f64 (+.f64 x 1/3)) 2) (cbrt.f64 (+.f64 x 1/3)))
(+.f64 x 1/3)
(*.f64 (sqrt.f64 (+.f64 x 1/3)) (sqrt.f64 (+.f64 x 1/3)))
(+.f64 x 1/3)
(*.f64 (+.f64 (pow.f64 x 3) 1/27) (/.f64 1 (-.f64 (fma.f64 x x 1/9) (*.f64 x 1/3))))
(/.f64 (+.f64 (pow.f64 x 3) 1/27) (+.f64 1/9 (*.f64 x (+.f64 -1/3 x))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 x 1/3))) 2) 3) (cbrt.f64 (+.f64 x 1/3)))
(+.f64 x 1/3)
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (+.f64 x 1/3))) 3) (pow.f64 (sqrt.f64 (cbrt.f64 (+.f64 x 1/3))) 3))
(+.f64 x 1/3)
(*.f64 (pow.f64 1 1/3) (+.f64 x 1/3))
(+.f64 x 1/3)
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (+.f64 x 1/3) 3)) 1/3) (pow.f64 (sqrt.f64 (pow.f64 (+.f64 x 1/3) 3)) 1/3))
(*.f64 (cbrt.f64 (sqrt.f64 (pow.f64 (+.f64 x 1/3) 3))) (cbrt.f64 (sqrt.f64 (pow.f64 (+.f64 x 1/3) 3))))
(*.f64 (cbrt.f64 (fabs.f64 (pow.f64 (+.f64 x 1/3) 3/2))) (cbrt.f64 (fabs.f64 (pow.f64 (+.f64 x 1/3) 3/2))))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 x 1/3) 3/2)) (cbrt.f64 (pow.f64 (+.f64 x 1/3) 3/2)))
(*.f64 (pow.f64 (pow.f64 (*.f64 (+.f64 x 1/3) (cbrt.f64 (+.f64 x 1/3))) 2) 1/3) (cbrt.f64 (cbrt.f64 (+.f64 x 1/3))))
(*.f64 (cbrt.f64 (cbrt.f64 (+.f64 x 1/3))) (cbrt.f64 (pow.f64 (*.f64 (+.f64 x 1/3) (cbrt.f64 (+.f64 x 1/3))) 2)))
(*.f64 (cbrt.f64 (cbrt.f64 (+.f64 x 1/3))) (cbrt.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 x 1/3)) 4) 2)))
(*.f64 (cbrt.f64 (cbrt.f64 (+.f64 x 1/3))) (cbrt.f64 (pow.f64 (cbrt.f64 (+.f64 x 1/3)) 8)))
(*.f64 (pow.f64 (pow.f64 (+.f64 x 1/3) 5/2) 1/3) (cbrt.f64 (sqrt.f64 (+.f64 x 1/3))))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 x 1/3) 5/2)) (cbrt.f64 (sqrt.f64 (+.f64 x 1/3))))
(/.f64 (fma.f64 x x -1/9) (+.f64 x -1/3))
(-.f64 (/.f64 (pow.f64 x 2) (+.f64 -1/3 x)) (/.f64 1/9 (+.f64 -1/3 x)))
(/.f64 (fma.f64 x x -1/9) (+.f64 -1/3 x))
(/.f64 1 (/.f64 (-.f64 (fma.f64 x x 1/9) (*.f64 x 1/3)) (+.f64 (pow.f64 x 3) 1/27)))
(*.f64 (+.f64 (pow.f64 x 3) 1/27) (/.f64 1 (-.f64 (fma.f64 x x 1/9) (*.f64 x 1/3))))
(/.f64 (+.f64 (pow.f64 x 3) 1/27) (+.f64 1/9 (*.f64 x (+.f64 -1/3 x))))
(/.f64 1 (/.f64 (+.f64 x -1/3) (fma.f64 x x -1/9)))
(-.f64 (/.f64 (pow.f64 x 2) (+.f64 -1/3 x)) (/.f64 1/9 (+.f64 -1/3 x)))
(/.f64 (fma.f64 x x -1/9) (+.f64 -1/3 x))
(/.f64 (neg.f64 (fma.f64 x x -1/9)) (neg.f64 (+.f64 x -1/3)))
(-.f64 (/.f64 (pow.f64 x 2) (+.f64 -1/3 x)) (/.f64 1/9 (+.f64 -1/3 x)))
(/.f64 (fma.f64 x x -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) (/.f64 1 (-.f64 (fma.f64 x x 1/9) (*.f64 x 1/3))))
(/.f64 (+.f64 (pow.f64 x 3) 1/27) (+.f64 1/9 (*.f64 x (+.f64 -1/3 x))))
(/.f64 (+.f64 (pow.f64 x 3) 1/27) (+.f64 1/9 (-.f64 (pow.f64 x 2) (*.f64 x 1/3))))
(*.f64 (+.f64 (pow.f64 x 3) 1/27) (/.f64 1 (-.f64 (fma.f64 x x 1/9) (*.f64 x 1/3))))
(/.f64 (+.f64 (pow.f64 x 3) 1/27) (+.f64 1/9 (*.f64 x (+.f64 -1/3 x))))
(/.f64 (neg.f64 (+.f64 (pow.f64 x 3) 1/27)) (neg.f64 (-.f64 (fma.f64 x x 1/9) (*.f64 x 1/3))))
(*.f64 (+.f64 (pow.f64 x 3) 1/27) (/.f64 1 (-.f64 (fma.f64 x x 1/9) (*.f64 x 1/3))))
(/.f64 (+.f64 (pow.f64 x 3) 1/27) (+.f64 1/9 (*.f64 x (+.f64 -1/3 x))))
(/.f64 (-.f64 1/9 (pow.f64 x 2)) (-.f64 1/3 x))
(-.f64 (/.f64 (pow.f64 x 2) (+.f64 -1/3 x)) (/.f64 1/9 (+.f64 -1/3 x)))
(/.f64 (fma.f64 x x -1/9) (+.f64 -1/3 x))
(pow.f64 (+.f64 x 1/3) 1)
(+.f64 x 1/3)
(pow.f64 (cbrt.f64 (+.f64 x 1/3)) 3)
(+.f64 x 1/3)
(pow.f64 (pow.f64 (+.f64 x 1/3) 2) 1/2)
(+.f64 x 1/3)
(pow.f64 (pow.f64 (+.f64 x 1/3) 3) 1/3)
(+.f64 x 1/3)
(pow.f64 (sqrt.f64 (+.f64 x 1/3)) 2)
(+.f64 x 1/3)
(pow.f64 (E.f64) (log.f64 (+.f64 x 1/3)))
(+.f64 x 1/3)
(pow.f64 (/.f64 (-.f64 (fma.f64 x x 1/9) (*.f64 x 1/3)) (+.f64 (pow.f64 x 3) 1/27)) -1)
(*.f64 (+.f64 (pow.f64 x 3) 1/27) (/.f64 1 (-.f64 (fma.f64 x x 1/9) (*.f64 x 1/3))))
(/.f64 (+.f64 (pow.f64 x 3) 1/27) (+.f64 1/9 (*.f64 x (+.f64 -1/3 x))))
(pow.f64 (/.f64 (+.f64 x -1/3) (fma.f64 x x -1/9)) -1)
(-.f64 (/.f64 (pow.f64 x 2) (+.f64 -1/3 x)) (/.f64 1/9 (+.f64 -1/3 x)))
(/.f64 (fma.f64 x x -1/9) (+.f64 -1/3 x))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x 1/3))) 2)) (cbrt.f64 (log.f64 (+.f64 x 1/3))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (+.f64 x 1/3)))) (sqrt.f64 (log.f64 (+.f64 x 1/3))))
(sqrt.f64 (pow.f64 (+.f64 x 1/3) 2))
(+.f64 x 1/3)
(log.f64 (exp.f64 (+.f64 x 1/3)))
(+.f64 x 1/3)
(cbrt.f64 (pow.f64 (+.f64 x 1/3) 3))
(+.f64 x 1/3)
(expm1.f64 (log1p.f64 (+.f64 x 1/3)))
(+.f64 x 1/3)
(exp.f64 (log.f64 (+.f64 x 1/3)))
(+.f64 x 1/3)
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (+.f64 x 1/3))) 3))
(+.f64 x 1/3)
(exp.f64 (*.f64 (*.f64 3 (log.f64 (+.f64 x 1/3))) 1/3))
(+.f64 x 1/3)
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 x 1/3))) 2))
(+.f64 x 1/3)
(log1p.f64 (expm1.f64 (+.f64 x 1/3)))
(+.f64 x 1/3)
(fma.f64 x 1 1/3)
(+.f64 x 1/3)
(fma.f64 1 x 1/3)
(+.f64 x 1/3)
(fma.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) 2) 1/3)
(+.f64 x 1/3)
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) 1/3)
(+.f64 x 1/3)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) 1/3)
(+.f64 x 1/3)

eval187.0ms (8.6%)

Compiler

Compiled 2890 to 2182 computations (24.5% saved)

prune40.0ms (1.8%)

Pruning

4 alts after pruning (0 fresh and 4 done)

PrunedKeptTotal
New2130213
Fresh000
Picked033
Done011
Total2134217
Accuracy
100.0%
Counts
217 → 4
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓78.1%
(/.f64 (fma.f64 x x -1/9) (+.f64 x 1/3))
✓100.0%
(+.f64 x -1/3)
✓55.3%
x
✓46.7%
-1/3
Compiler

Compiled 36 to 25 computations (30.6% saved)

regimes8.0ms (0.4%)

Counts
5 → 1
Calls
Call 1
Inputs
-1/3
x
(+.f64 x -1/3)
(-.f64 x (/.f64 1 3))
(/.f64 (fma.f64 x x -1/9) (+.f64 x 1/3))
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 8 to 6 computations (25% saved)

regimes53.0ms (2.4%)

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

1 calls:

52.0ms
x
Results
AccuracySegmentsBranch
98.2%3x
Compiler

Compiled 2 to 1 computations (50% 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:

2.0ms
x
Results
AccuracySegmentsBranch
46.7%1x
Compiler

Compiled 2 to 1 computations (50% saved)

bsearch89.0ms (4.1%)

Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
76.0ms
0.05067788716340924
1408116499958911.0
13.0ms
-72.49082418546253
-0.0031089673112134216
Results
25.0ms287×256valid
0.0ms1×256valid
Compiler

Compiled 118 to 98 computations (16.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 5.0ms
Operation ival-div, time spent: 3.0ms, 61.0% of total-time
Operation ival-sub, time spent: 2.0ms, 41.0% of total-time
Operation const, time spent: 1.0ms, 20.0% of total-time

simplify3.0ms (0.1%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
01644
12244
Stop Event
1×done
1×saturated
Calls
Call 1
Inputs
(+.f64 x -1/3)
(if (<=.f64 x -5944751508129055/18014398509481984) x (if (<=.f64 x 5944751508129055/18014398509481984) -1/3 x))
-1/3
Outputs
(+.f64 x -1/3)
(if (<=.f64 x -5944751508129055/18014398509481984) x (if (<=.f64 x 5944751508129055/18014398509481984) -1/3 x))
-1/3
Compiler

Compiled 18 to 13 computations (27.8% saved)

soundness19.0ms (0.9%)

Rules
80×fma-def
24×distribute-lft-neg-in
18×sub-neg
16×cancel-sign-sub-inv
12×associate-+l-
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01452
12848
25240
37940
412840
515940
616940
717640
818440
918940
1019040
Stop Event
1×saturated
Compiler

Compiled 19 to 15 computations (21.1% saved)

end0.0ms (0%)

preprocess31.0ms (1.4%)

Compiler

Compiled 44 to 32 computations (27.3% saved)

Profiling

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