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

Time bar (total: 3.3s)

analyze0.0ms (0%)

Algorithm
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)

sample963.0ms (29.5%)

Results
951.0ms8256×body256valid
Bogosity

preprocess72.0ms (2.2%)

Algorithm
egg-herbie
Rules
80×fma-def
24×distribute-lft-neg-in
18×sub-neg
16×cancel-sign-sub-inv
12×associate-+l-
Problems
256×No Errors
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01452
12848
25240
37940
412840
515940
616940
717640
818440
918940
1019040
Stop Event
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 19 to 16 computations (15.8% saved)

eval0.0ms (0%)

Compiler

Compiled 4 to 3 computations (25% saved)

prune60.0ms (1.8%)

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)

localize39.0ms (1.2%)

Localize:

Found 1 expressions with local error:

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

Compiled 7 to 5 computations (28.6% saved)

series1.0ms (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)

rewrite252.0ms (7.7%)

Algorithm
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
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)

simplify94.0ms (2.9%)

Algorithm
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
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)
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(/.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)

eval39.0ms (1.2%)

Compiler

Compiled 1586 to 1235 computations (22.1% saved)

prune17.0ms (0.5%)

Pruning

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New1105115
Fresh000
Picked011
Done000
Total1106116
Accuracy
100.0%
Counts
116 → 6
Alt Table
Click to see full alt table
StatusAccuracyProgram
63.1%
(/.f64 (+.f64 (pow.f64 x 3) -1/27) (+.f64 1/9 (*.f64 x (-.f64 x -1/3))))
73.0%
(/.f64 1 (/.f64 (+.f64 x 1/3) (fma.f64 x x -1/9)))
99.3%
(-.f64 (+.f64 1 (+.f64 x -1/3)) 1)
100.0%
(+.f64 x -1/3)
54.9%
x
47.1%
-1/3
63.1%
(/.f64 (+.f64 (pow.f64 x 3) -1/27) (+.f64 1/9 (*.f64 x (-.f64 x -1/3))))
73.0%
(/.f64 1 (/.f64 (+.f64 x 1/3) (fma.f64 x x -1/9)))
99.3%
(-.f64 (+.f64 1 (+.f64 x -1/3)) 1)
100.0%
(+.f64 x -1/3)
54.9%
x
47.1%
-1/3
Compiler

Compiled 82 to 64 computations (22% saved)

localize134.0ms (4.1%)

Localize:

Found 11 expressions with local error:

NewAccuracyProgram
100.0%
(+.f64 (pow.f64 x 3) -1/27)
100.0%
(+.f64 1/9 (*.f64 x (-.f64 x -1/3)))
99.7%
(*.f64 x (-.f64 x -1/3))
64.3%
(/.f64 (+.f64 (pow.f64 x 3) -1/27) (+.f64 1/9 (*.f64 x (-.f64 x -1/3))))
100.0%
(fma.f64 x x -1/9)
100.0%
(+.f64 x 1/3)
99.8%
(/.f64 1 (/.f64 (+.f64 x 1/3) (fma.f64 x x -1/9)))
73.0%
(/.f64 (+.f64 x 1/3) (fma.f64 x x -1/9))
100.0%
(+.f64 x -1/3)
99.3%
(-.f64 (+.f64 1 (+.f64 x -1/3)) 1)
99.3%
(+.f64 1 (+.f64 x -1/3))
Compiler

Compiled 90 to 65 computations (27.8% saved)

series7.0ms (0.2%)

Counts
10 → 120
Calls

30 calls:

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

rewrite245.0ms (7.5%)

Algorithm
batch-egg-rewrite
Rules
1026×log1p-expm1-u
544×expm1-udef
544×log1p-udef
200×associate-*r*
168×expm1-log1p-u
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
026221
1398169
25625169
Stop Event
node limit
Counts
10 → 422
Calls
Call 1
Inputs
(+.f64 1 (+.f64 x -1/3))
(-.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 x (-.f64 x -1/3))))
(*.f64 x (-.f64 x -1/3))
(+.f64 1/9 (*.f64 x (-.f64 x -1/3)))
(+.f64 (pow.f64 x 3) -1/27)
Outputs
(-.f64 (+.f64 (+.f64 x -1/3) 2) 1)
(-.f64 (/.f64 1 (-.f64 4/3 x)) (/.f64 (pow.f64 (+.f64 x -1/3) 2) (-.f64 4/3 x)))
(*.f64 1 (+.f64 x 2/3))
(*.f64 (+.f64 x 2/3) 1)
(*.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 1 (pow.f64 (+.f64 x -1/3) 3)) (/.f64 1 (+.f64 1 (*.f64 (+.f64 x -1/3) (+.f64 x -4/3)))))
(*.f64 (-.f64 1 (pow.f64 (+.f64 x -1/3) 2)) (/.f64 1 (-.f64 4/3 x)))
(/.f64 1 (/.f64 (+.f64 1 (*.f64 (+.f64 x -1/3) (+.f64 x -4/3))) (+.f64 1 (pow.f64 (+.f64 x -1/3) 3))))
(/.f64 1 (/.f64 (-.f64 4/3 x) (-.f64 1 (pow.f64 (+.f64 x -1/3) 2))))
(/.f64 (+.f64 1 (pow.f64 (+.f64 x -1/3) 3)) (+.f64 1 (*.f64 (+.f64 x -1/3) (+.f64 x -4/3))))
(/.f64 (+.f64 1 (pow.f64 (+.f64 x -1/3) 3)) (+.f64 (pow.f64 (+.f64 x -1/3) 2) (-.f64 4/3 x)))
(/.f64 (-.f64 1 (pow.f64 (+.f64 x -1/3) 2)) (-.f64 4/3 x))
(/.f64 (neg.f64 (+.f64 1 (pow.f64 (+.f64 x -1/3) 3))) (neg.f64 (+.f64 1 (*.f64 (+.f64 x -1/3) (+.f64 x -4/3)))))
(/.f64 (neg.f64 (-.f64 1 (pow.f64 (+.f64 x -1/3) 2))) (neg.f64 (-.f64 4/3 x)))
(/.f64 (+.f64 (pow.f64 (+.f64 1 x) 3) -1/27) (+.f64 (*.f64 (+.f64 1 x) (+.f64 1 x)) (-.f64 1/9 (*.f64 (+.f64 1 x) -1/3))))
(/.f64 (-.f64 (pow.f64 (+.f64 x -1/3) 2) 1) (+.f64 x -4/3))
(/.f64 (-.f64 (*.f64 (+.f64 1 x) (+.f64 1 x)) 1/9) (-.f64 (+.f64 1 x) -1/3))
(/.f64 (*.f64 (+.f64 1 (pow.f64 (+.f64 x -1/3) 3)) 1) (+.f64 1 (*.f64 (+.f64 x -1/3) (+.f64 x -4/3))))
(/.f64 (*.f64 (-.f64 1 (pow.f64 (+.f64 x -1/3) 2)) 1) (-.f64 4/3 x))
(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)))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 x 2/3))))
(cbrt.f64 (pow.f64 (+.f64 x 2/3) 3))
(expm1.f64 (log1p.f64 (+.f64 x 2/3)))
(exp.f64 (log1p.f64 (+.f64 x -1/3)))
(exp.f64 (*.f64 (log1p.f64 (+.f64 x -1/3)) 1))
(log1p.f64 (expm1.f64 (+.f64 x 2/3)))
(fma.f64 1 (+.f64 x -1/3) 1)
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 x -1/3)) 2) (cbrt.f64 (+.f64 x -1/3)) 1)
(fma.f64 (sqrt.f64 (+.f64 x -1/3)) (sqrt.f64 (+.f64 x -1/3)) 1)
(+.f64 1 (+.f64 x -4/3))
(+.f64 1 (*.f64 (+.f64 x -4/3) 1))
(+.f64 x -1/3)
(+.f64 -1/3 x)
(+.f64 (+.f64 x -1/3) 0)
(+.f64 (+.f64 x 2/3) -1)
(+.f64 -1 (+.f64 x 2/3))
(+.f64 (+.f64 1 x) -4/3)
(+.f64 (+.f64 x -4/3) 1)
(+.f64 (*.f64 (/.f64 1 (+.f64 x 1/3)) (pow.f64 x 2)) (*.f64 (/.f64 1 (+.f64 x 1/3)) -1/9))
(+.f64 (*.f64 (pow.f64 x 2) (/.f64 1 (+.f64 x 1/3))) (*.f64 -1/9 (/.f64 1 (+.f64 x 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 x (-.f64 1/9 (*.f64 x -1/3)))))
(*.f64 -1 (/.f64 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 (+.f64 x 2/3) 3) -1) (/.f64 1 (+.f64 (pow.f64 (+.f64 x 2/3) 2) (+.f64 (+.f64 x -1/3) 2))))
(*.f64 (+.f64 (pow.f64 (+.f64 x 2/3) 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))
(*.f64 (pow.f64 (/.f64 1 (sqrt.f64 (+.f64 x -1/3))) -1) (pow.f64 (/.f64 1 (sqrt.f64 (+.f64 x -1/3))) -1))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 x 1/3)) 2)) (/.f64 (fma.f64 x x -1/9) (cbrt.f64 (+.f64 x 1/3))))
(*.f64 (/.f64 1 (sqrt.f64 (+.f64 x 1/3))) (/.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 (sqrt.f64 (+.f64 x 2/3)) 1) (-.f64 (sqrt.f64 (+.f64 x 2/3)) 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) (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 (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) (+.f64 (pow.f64 x 3) 1/27)) (fma.f64 x x (+.f64 1/9 (*.f64 x -1/3))))
(/.f64 1 (/.f64 1 (+.f64 x -1/3)))
(/.f64 1 (neg.f64 (/.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 (pow.f64 (+.f64 x 2/3) 2) (+.f64 (+.f64 x -1/3) 2)) (+.f64 (pow.f64 (+.f64 x 2/3) 3) -1)))
(/.f64 1 (/.f64 (+.f64 (+.f64 x -1/3) 2) (+.f64 (pow.f64 (+.f64 x 2/3) 2) -1)))
(/.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 1/9 (-.f64 (pow.f64 x 2) (*.f64 x -1/3))))
(/.f64 -1 (/.f64 -1 (+.f64 x -1/3)))
(/.f64 (pow.f64 (cbrt.f64 (fma.f64 x x -1/9)) 2) (/.f64 (+.f64 x 1/3) (cbrt.f64 (fma.f64 x x -1/9))))
(/.f64 (pow.f64 (cbrt.f64 (+.f64 (pow.f64 x 3) -1/27)) 2) (/.f64 (fma.f64 x x (-.f64 1/9 (*.f64 x -1/3))) (cbrt.f64 (+.f64 (pow.f64 x 3) -1/27))))
(/.f64 (sqrt.f64 (fma.f64 x x -1/9)) (/.f64 (+.f64 x 1/3) (sqrt.f64 (fma.f64 x x -1/9))))
(/.f64 (sqrt.f64 (+.f64 x -1/3)) (/.f64 1 (sqrt.f64 (+.f64 x -1/3))))
(/.f64 (sqrt.f64 (+.f64 (pow.f64 x 3) -1/27)) (/.f64 (fma.f64 x x (-.f64 1/9 (*.f64 x -1/3))) (sqrt.f64 (+.f64 (pow.f64 x 3) -1/27))))
(/.f64 (+.f64 1/27 (neg.f64 (pow.f64 x 3))) (neg.f64 (fma.f64 x x (-.f64 1/9 (*.f64 x -1/3)))))
(/.f64 (neg.f64 (fma.f64 x x -1/9)) (+.f64 -1/3 (neg.f64 x)))
(/.f64 (+.f64 (pow.f64 x 9) -1/19683) (*.f64 (fma.f64 x x (-.f64 1/9 (*.f64 x -1/3))) (-.f64 (+.f64 (pow.f64 x 6) 1/729) (*.f64 (pow.f64 x 3) -1/27))))
(/.f64 (+.f64 (pow.f64 (+.f64 x 2/3) 3) -1) (+.f64 (pow.f64 (+.f64 x 2/3) 2) (+.f64 (+.f64 x -1/3) 2)))
(/.f64 (+.f64 (pow.f64 (+.f64 x 2/3) 3) -1) (+.f64 (pow.f64 (+.f64 x 2/3) 2) (-.f64 1 (*.f64 (+.f64 x 2/3) -1))))
(/.f64 (+.f64 (pow.f64 x 6) -1/729) (*.f64 (fma.f64 x x (-.f64 1/9 (*.f64 x -1/3))) (+.f64 (pow.f64 x 3) 1/27)))
(/.f64 (+.f64 (pow.f64 (+.f64 x 2/3) 2) -1) (+.f64 (+.f64 x -1/3) 2))
(/.f64 (+.f64 (pow.f64 (+.f64 x 2/3) 2) -1) (-.f64 (+.f64 x 2/3) -1))
(/.f64 (/.f64 1 (+.f64 x 1/3)) (/.f64 1 (fma.f64 x x -1/9)))
(/.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 x 2/3) 3) -1)) (neg.f64 (+.f64 (pow.f64 (+.f64 x 2/3) 2) (+.f64 (+.f64 x -1/3) 2))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 x 2/3) 2) -1)) (neg.f64 (+.f64 (+.f64 x -1/3) 2)))
(/.f64 (/.f64 (fma.f64 x x -1/9) (sqrt.f64 (+.f64 x 1/3))) (sqrt.f64 (+.f64 x 1/3)))
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(*.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 (pow.f64 x 3) -1/27) (fma.f64 x (+.f64 x 1/3) 1/9))) 2) (cbrt.f64 (/.f64 (+.f64 (pow.f64 x 3) -1/27) (fma.f64 x (+.f64 x 1/3) 1/9))))
(*.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 (+.f64 (pow.f64 x 3) -1/27) (fma.f64 x (+.f64 x 1/3) 1/9))) (sqrt.f64 (/.f64 (+.f64 (pow.f64 x 3) -1/27) (fma.f64 x (+.f64 x 1/3) 1/9))))
(*.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 (+.f64 1/27 (neg.f64 (pow.f64 x 3))) (/.f64 1 (neg.f64 (fma.f64 x (+.f64 x 1/3) 1/9))))
(*.f64 (/.f64 1 (fma.f64 x (+.f64 x 1/3) 1/9)) (+.f64 (pow.f64 x 3) -1/27))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (fma.f64 x (+.f64 x 1/3) 1/9)) 2)) (/.f64 (+.f64 (pow.f64 x 3) -1/27) (cbrt.f64 (fma.f64 x (+.f64 x 1/3) 1/9))))
(*.f64 (/.f64 1 (sqrt.f64 (fma.f64 x (+.f64 x 1/3) 1/9))) (/.f64 (+.f64 (pow.f64 x 3) -1/27) (sqrt.f64 (fma.f64 x (+.f64 x 1/3) 1/9))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 (pow.f64 x 3) -1/27)) 2) 1) (/.f64 (cbrt.f64 (+.f64 (pow.f64 x 3) -1/27)) (fma.f64 x (+.f64 x 1/3) 1/9)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 (pow.f64 x 3) -1/27)) 2) (pow.f64 (cbrt.f64 (fma.f64 x (+.f64 x 1/3) 1/9)) 2)) (cbrt.f64 (/.f64 (+.f64 (pow.f64 x 3) -1/27) (fma.f64 x (+.f64 x 1/3) 1/9))))
(*.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 (+.f64 (pow.f64 x 3) -1/27) (+.f64 (pow.f64 (*.f64 x (+.f64 x 1/3)) 3) 1/729)) (+.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 (+.f64 (pow.f64 x 3) -1/27) (fma.f64 x (+.f64 x 1/3) 1/9)) 1)
(pow.f64 (cbrt.f64 (/.f64 (+.f64 (pow.f64 x 3) -1/27) (fma.f64 x (+.f64 x 1/3) 1/9))) 3)
(pow.f64 (pow.f64 (/.f64 (+.f64 (pow.f64 x 3) -1/27) (fma.f64 x (+.f64 x 1/3) 1/9)) 3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 (+.f64 (pow.f64 x 3) -1/27) (fma.f64 x (+.f64 x 1/3) 1/9))) 2)
(pow.f64 (/.f64 (fma.f64 x (+.f64 x 1/3) 1/9) (+.f64 (pow.f64 x 3) -1/27)) -1)
(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 (+.f64 (pow.f64 x 3) -1/27) (fma.f64 x (+.f64 x 1/3) 1/9)) 2))
(log.f64 (exp.f64 (/.f64 (+.f64 (pow.f64 x 3) -1/27) (fma.f64 x (+.f64 x 1/3) 1/9))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (+.f64 (pow.f64 x 3) -1/27) (fma.f64 x (+.f64 x 1/3) 1/9)))))
(cbrt.f64 (pow.f64 (/.f64 (+.f64 (pow.f64 x 3) -1/27) (fma.f64 x (+.f64 x 1/3) 1/9)) 3))
(cbrt.f64 (/.f64 (pow.f64 (+.f64 (pow.f64 x 3) -1/27) 3) (pow.f64 (fma.f64 x (+.f64 x 1/3) 1/9) 3)))
(expm1.f64 (log1p.f64 (/.f64 (+.f64 (pow.f64 x 3) -1/27) (fma.f64 x (+.f64 x 1/3) 1/9))))
(exp.f64 (log.f64 (/.f64 (+.f64 (pow.f64 x 3) -1/27) (fma.f64 x (+.f64 x 1/3) 1/9))))
(exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 (pow.f64 x 3) -1/27) (fma.f64 x (+.f64 x 1/3) 1/9))) 1))
(log1p.f64 (expm1.f64 (/.f64 (+.f64 (pow.f64 x 3) -1/27) (fma.f64 x (+.f64 x 1/3) 1/9))))
(+.f64 (pow.f64 x 2) (*.f64 x 1/3))
(+.f64 (*.f64 x 1/3) (pow.f64 x 2))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (+.f64 x 1/3)))) 1)
(/.f64 (*.f64 x (+.f64 (pow.f64 x 3) 1/27)) (fma.f64 x x (-.f64 1/9 (*.f64 x 1/3))))
(/.f64 (*.f64 x (+.f64 (pow.f64 x 3) 1/27)) (fma.f64 x x (+.f64 1/9 (*.f64 x -1/3))))
(/.f64 (*.f64 x (fma.f64 x x -1/9)) (+.f64 x -1/3))
(/.f64 (*.f64 (+.f64 (pow.f64 x 3) 1/27) x) (fma.f64 x x (-.f64 1/9 (*.f64 x 1/3))))
(/.f64 (*.f64 (+.f64 (pow.f64 x 3) 1/27) x) (fma.f64 x x (+.f64 1/9 (*.f64 x -1/3))))
(/.f64 (*.f64 (fma.f64 x x -1/9) 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))))
(-.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 (fma.f64 x (+.f64 x 1/3) 1/9) 1)
(*.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 (pow.f64 (*.f64 x (+.f64 x 1/3)) 3) 1/729) (/.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 (pow.f64 (*.f64 x (+.f64 x 1/3)) 3) 1/729)))
(/.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 (pow.f64 (*.f64 x (+.f64 x 1/3)) 3) 1/729) (+.f64 1/81 (*.f64 (*.f64 x (+.f64 x 1/3)) (-.f64 (*.f64 x (+.f64 x 1/3)) 1/9))))
(/.f64 (+.f64 (pow.f64 (*.f64 x (+.f64 x 1/3)) 3) 1/729) (+.f64 (pow.f64 (*.f64 x (+.f64 x 1/3)) 2) (-.f64 1/81 (*.f64 (*.f64 1/9 x) (+.f64 x 1/3)))))
(/.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 (pow.f64 (*.f64 x (+.f64 x 1/3)) 3) 1/729)) (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 (*.f64 x (+.f64 x 1/3)) 2) 1/81) (-.f64 (*.f64 x (+.f64 x 1/3)) 1/9))
(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 (+.f64 x 1/3)) 1/9)
(fma.f64 x (+.f64 x 1/3) 1/9)
(fma.f64 (+.f64 x 1/3) x 1/9)
(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 (exp.f64 (log1p.f64 (+.f64 (pow.f64 x 3) -1/27))) 1)
(-.f64 (/.f64 (pow.f64 x 6) (+.f64 (pow.f64 x 3) 1/27)) (/.f64 1/729 (+.f64 (pow.f64 x 3) 1/27)))
(*.f64 1 (+.f64 (pow.f64 x 3) -1/27))
(*.f64 (+.f64 (pow.f64 x 3) -1/27) 1)
(*.f64 (cbrt.f64 (+.f64 (pow.f64 x 3) -1/27)) (pow.f64 (cbrt.f64 (+.f64 (pow.f64 x 3) -1/27)) 2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 (pow.f64 x 3) -1/27)) 2) (cbrt.f64 (+.f64 (pow.f64 x 3) -1/27)))
(*.f64 (sqrt.f64 (+.f64 (pow.f64 x 3) -1/27)) (sqrt.f64 (+.f64 (pow.f64 x 3) -1/27)))
(*.f64 (+.f64 (pow.f64 x 9) -1/19683) (/.f64 1 (-.f64 (+.f64 (pow.f64 x 6) 1/729) (*.f64 (pow.f64 x 3) -1/27))))
(*.f64 (+.f64 (pow.f64 x 6) -1/729) (/.f64 1 (+.f64 (pow.f64 x 3) 1/27)))
(/.f64 1 (/.f64 (-.f64 (+.f64 (pow.f64 x 6) 1/729) (*.f64 (pow.f64 x 3) -1/27)) (+.f64 (pow.f64 x 9) -1/19683)))
(/.f64 1 (/.f64 (+.f64 (pow.f64 x 3) 1/27) (+.f64 (pow.f64 x 6) -1/729)))
(/.f64 (+.f64 (pow.f64 x 9) -1/19683) (-.f64 (+.f64 (pow.f64 x 6) 1/729) (*.f64 (pow.f64 x 3) -1/27)))
(/.f64 (+.f64 (pow.f64 x 9) -1/19683) (+.f64 1/729 (-.f64 (pow.f64 x 6) (*.f64 (pow.f64 x 3) -1/27))))
(/.f64 (+.f64 (pow.f64 x 6) -1/729) (+.f64 (pow.f64 x 3) 1/27))
(/.f64 (neg.f64 (+.f64 (pow.f64 x 9) -1/19683)) (neg.f64 (-.f64 (+.f64 (pow.f64 x 6) 1/729) (*.f64 (pow.f64 x 3) -1/27))))
(/.f64 (neg.f64 (+.f64 (pow.f64 x 6) -1/729)) (neg.f64 (+.f64 (pow.f64 x 3) 1/27)))
(/.f64 (-.f64 1/729 (pow.f64 x 6)) (-.f64 -1/27 (pow.f64 x 3)))
(pow.f64 (+.f64 (pow.f64 x 3) -1/27) 1)
(pow.f64 (cbrt.f64 (+.f64 (pow.f64 x 3) -1/27)) 3)
(pow.f64 (pow.f64 (+.f64 (pow.f64 x 3) -1/27) 3) 1/3)
(pow.f64 (sqrt.f64 (+.f64 (pow.f64 x 3) -1/27)) 2)
(sqrt.f64 (pow.f64 (+.f64 (pow.f64 x 3) -1/27) 2))
(log.f64 (exp.f64 (+.f64 (pow.f64 x 3) -1/27)))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (pow.f64 x 3) -1/27))))
(cbrt.f64 (pow.f64 (+.f64 (pow.f64 x 3) -1/27) 3))
(expm1.f64 (log1p.f64 (+.f64 (pow.f64 x 3) -1/27)))
(exp.f64 (log.f64 (+.f64 (pow.f64 x 3) -1/27)))
(exp.f64 (*.f64 (log.f64 (+.f64 (pow.f64 x 3) -1/27)) 1))
(log1p.f64 (expm1.f64 (+.f64 (pow.f64 x 3) -1/27)))
(fma.f64 1 (pow.f64 x 3) -1/27)
(fma.f64 x (pow.f64 x 2) -1/27)
(fma.f64 (pow.f64 x 2) x -1/27)
(fma.f64 (pow.f64 x 3/2) (pow.f64 x 3/2) -1/27)

simplify272.0ms (8.3%)

Algorithm
egg-herbie
Rules
892×associate-*r*
768×associate-*l*
694×associate-/l*
630×associate-/r*
602×distribute-rgt-in
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
078214484
1178713227
Stop Event
node limit
Counts
542 → 487
Calls
Call 1
Inputs
2/3
(+.f64 2/3 x)
(+.f64 2/3 x)
(+.f64 2/3 x)
x
(+.f64 2/3 x)
(+.f64 2/3 x)
(+.f64 2/3 x)
x
(+.f64 2/3 x)
(+.f64 2/3 x)
(+.f64 2/3 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)
-3
(-.f64 (*.f64 -9 x) 3)
(-.f64 (+.f64 (*.f64 -27 (pow.f64 x 2)) (*.f64 -9 x)) 3)
(-.f64 (+.f64 (*.f64 -81 (pow.f64 x 3)) (+.f64 (*.f64 -27 (pow.f64 x 2)) (*.f64 -9 x))) 3)
(/.f64 1 x)
(+.f64 (/.f64 1 x) (*.f64 1/3 (/.f64 1 (pow.f64 x 2))))
(+.f64 (*.f64 1/9 (/.f64 1 (pow.f64 x 3))) (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 x 2))) (/.f64 1 x)))
(+.f64 (*.f64 1/27 (/.f64 1 (pow.f64 x 4))) (+.f64 (*.f64 1/9 (/.f64 1 (pow.f64 x 3))) (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 x 2))) (/.f64 1 x))))
(/.f64 1 x)
(+.f64 (/.f64 1 x) (*.f64 1/3 (/.f64 1 (pow.f64 x 2))))
(+.f64 (*.f64 1/9 (/.f64 1 (pow.f64 x 3))) (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 x 2))) (/.f64 1 x)))
(+.f64 (*.f64 1/27 (/.f64 1 (pow.f64 x 4))) (+.f64 (*.f64 1/9 (/.f64 1 (pow.f64 x 3))) (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 x 2))) (/.f64 1 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)
1/3
(+.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)
-1/9
(-.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 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 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))
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)))
-1/27
(-.f64 (pow.f64 x 3) 1/27)
(-.f64 (pow.f64 x 3) 1/27)
(-.f64 (pow.f64 x 3) 1/27)
(pow.f64 x 3)
(-.f64 (pow.f64 x 3) 1/27)
(-.f64 (pow.f64 x 3) 1/27)
(-.f64 (pow.f64 x 3) 1/27)
(pow.f64 x 3)
(-.f64 (pow.f64 x 3) 1/27)
(-.f64 (pow.f64 x 3) 1/27)
(-.f64 (pow.f64 x 3) 1/27)
(-.f64 (+.f64 (+.f64 x -1/3) 2) 1)
(-.f64 (/.f64 1 (-.f64 4/3 x)) (/.f64 (pow.f64 (+.f64 x -1/3) 2) (-.f64 4/3 x)))
(*.f64 1 (+.f64 x 2/3))
(*.f64 (+.f64 x 2/3) 1)
(*.f64 (cbrt.f64 (+.f64 x 2/3)) (pow.f64 (cbrt.f64 (+.f64 x 2/3)) 2))
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(/.f64 (+.f64 (pow.f64 (*.f64 x (+.f64 x 1/3)) 3) 1/729) (+.f64 1/81 (*.f64 (*.f64 x (+.f64 x 1/3)) (-.f64 (*.f64 x (+.f64 x 1/3)) 1/9))))
(/.f64 (+.f64 (pow.f64 (*.f64 x (+.f64 x 1/3)) 3) 1/729) (+.f64 (pow.f64 (*.f64 x (+.f64 x 1/3)) 2) (-.f64 1/81 (*.f64 (*.f64 1/9 x) (+.f64 x 1/3)))))
(/.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 (pow.f64 (*.f64 x (+.f64 x 1/3)) 3) 1/729)) (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 (*.f64 x (+.f64 x 1/3)) 2) 1/81) (-.f64 (*.f64 x (+.f64 x 1/3)) 1/9))
(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 (+.f64 x 1/3)) 1/9)
(fma.f64 x (+.f64 x 1/3) 1/9)
(fma.f64 (+.f64 x 1/3) x 1/9)
(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 (exp.f64 (log1p.f64 (+.f64 (pow.f64 x 3) -1/27))) 1)
(-.f64 (/.f64 (pow.f64 x 6) (+.f64 (pow.f64 x 3) 1/27)) (/.f64 1/729 (+.f64 (pow.f64 x 3) 1/27)))
(*.f64 1 (+.f64 (pow.f64 x 3) -1/27))
(*.f64 (+.f64 (pow.f64 x 3) -1/27) 1)
(*.f64 (cbrt.f64 (+.f64 (pow.f64 x 3) -1/27)) (pow.f64 (cbrt.f64 (+.f64 (pow.f64 x 3) -1/27)) 2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 (pow.f64 x 3) -1/27)) 2) (cbrt.f64 (+.f64 (pow.f64 x 3) -1/27)))
(*.f64 (sqrt.f64 (+.f64 (pow.f64 x 3) -1/27)) (sqrt.f64 (+.f64 (pow.f64 x 3) -1/27)))
(*.f64 (+.f64 (pow.f64 x 9) -1/19683) (/.f64 1 (-.f64 (+.f64 (pow.f64 x 6) 1/729) (*.f64 (pow.f64 x 3) -1/27))))
(*.f64 (+.f64 (pow.f64 x 6) -1/729) (/.f64 1 (+.f64 (pow.f64 x 3) 1/27)))
(/.f64 1 (/.f64 (-.f64 (+.f64 (pow.f64 x 6) 1/729) (*.f64 (pow.f64 x 3) -1/27)) (+.f64 (pow.f64 x 9) -1/19683)))
(/.f64 1 (/.f64 (+.f64 (pow.f64 x 3) 1/27) (+.f64 (pow.f64 x 6) -1/729)))
(/.f64 (+.f64 (pow.f64 x 9) -1/19683) (-.f64 (+.f64 (pow.f64 x 6) 1/729) (*.f64 (pow.f64 x 3) -1/27)))
(/.f64 (+.f64 (pow.f64 x 9) -1/19683) (+.f64 1/729 (-.f64 (pow.f64 x 6) (*.f64 (pow.f64 x 3) -1/27))))
(/.f64 (+.f64 (pow.f64 x 6) -1/729) (+.f64 (pow.f64 x 3) 1/27))
(/.f64 (neg.f64 (+.f64 (pow.f64 x 9) -1/19683)) (neg.f64 (-.f64 (+.f64 (pow.f64 x 6) 1/729) (*.f64 (pow.f64 x 3) -1/27))))
(/.f64 (neg.f64 (+.f64 (pow.f64 x 6) -1/729)) (neg.f64 (+.f64 (pow.f64 x 3) 1/27)))
(/.f64 (-.f64 1/729 (pow.f64 x 6)) (-.f64 -1/27 (pow.f64 x 3)))
(pow.f64 (+.f64 (pow.f64 x 3) -1/27) 1)
(pow.f64 (cbrt.f64 (+.f64 (pow.f64 x 3) -1/27)) 3)
(pow.f64 (pow.f64 (+.f64 (pow.f64 x 3) -1/27) 3) 1/3)
(pow.f64 (sqrt.f64 (+.f64 (pow.f64 x 3) -1/27)) 2)
(sqrt.f64 (pow.f64 (+.f64 (pow.f64 x 3) -1/27) 2))
(log.f64 (exp.f64 (+.f64 (pow.f64 x 3) -1/27)))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (pow.f64 x 3) -1/27))))
(cbrt.f64 (pow.f64 (+.f64 (pow.f64 x 3) -1/27) 3))
(expm1.f64 (log1p.f64 (+.f64 (pow.f64 x 3) -1/27)))
(exp.f64 (log.f64 (+.f64 (pow.f64 x 3) -1/27)))
(exp.f64 (*.f64 (log.f64 (+.f64 (pow.f64 x 3) -1/27)) 1))
(log1p.f64 (expm1.f64 (+.f64 (pow.f64 x 3) -1/27)))
(fma.f64 1 (pow.f64 x 3) -1/27)
(fma.f64 x (pow.f64 x 2) -1/27)
(fma.f64 (pow.f64 x 2) x -1/27)
(fma.f64 (pow.f64 x 3/2) (pow.f64 x 3/2) -1/27)
Outputs
2/3
(+.f64 2/3 x)
(+.f64 2/3 x)
(+.f64 2/3 x)
x
(+.f64 2/3 x)
(+.f64 2/3 x)
(+.f64 2/3 x)
x
(+.f64 2/3 x)
(+.f64 2/3 x)
(+.f64 2/3 x)
-1/3
(-.f64 x 1/3)
(+.f64 x -1/3)
(-.f64 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)
(+.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 x -1/3)
(-.f64 x 1/3)
(+.f64 x -1/3)
-3
(-.f64 (*.f64 -9 x) 3)
(fma.f64 -9 x -3)
(fma.f64 x -9 -3)
(-.f64 (+.f64 (*.f64 -27 (pow.f64 x 2)) (*.f64 -9 x)) 3)
(+.f64 (*.f64 -27 (pow.f64 x 2)) (fma.f64 -9 x -3))
(fma.f64 -27 (pow.f64 x 2) (fma.f64 x -9 -3))
(-.f64 (+.f64 (*.f64 -81 (pow.f64 x 3)) (+.f64 (*.f64 -27 (pow.f64 x 2)) (*.f64 -9 x))) 3)
(+.f64 (fma.f64 -81 (pow.f64 x 3) (fma.f64 -27 (pow.f64 x 2) (*.f64 x -9))) -3)
(fma.f64 -81 (pow.f64 x 3) (fma.f64 -27 (pow.f64 x 2) (fma.f64 x -9 -3)))
(/.f64 1 x)
(+.f64 (/.f64 1 x) (*.f64 1/3 (/.f64 1 (pow.f64 x 2))))
(+.f64 (/.f64 1 x) (/.f64 1/3 (pow.f64 x 2)))
(+.f64 (*.f64 1/9 (/.f64 1 (pow.f64 x 3))) (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 x 2))) (/.f64 1 x)))
(+.f64 (/.f64 1/9 (pow.f64 x 3)) (+.f64 (/.f64 1 x) (/.f64 1/3 (pow.f64 x 2))))
(+.f64 (/.f64 1 x) (+.f64 (/.f64 1/3 (pow.f64 x 2)) (/.f64 1/9 (pow.f64 x 3))))
(+.f64 (*.f64 1/27 (/.f64 1 (pow.f64 x 4))) (+.f64 (*.f64 1/9 (/.f64 1 (pow.f64 x 3))) (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 x 2))) (/.f64 1 x))))
(+.f64 (+.f64 (/.f64 1/27 (pow.f64 x 4)) (/.f64 1/9 (pow.f64 x 3))) (+.f64 (/.f64 1 x) (/.f64 1/3 (pow.f64 x 2))))
(+.f64 (/.f64 1/9 (pow.f64 x 3)) (+.f64 (+.f64 (/.f64 1 x) (/.f64 1/3 (pow.f64 x 2))) (/.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 (pow.f64 x 2)))
(+.f64 (*.f64 1/9 (/.f64 1 (pow.f64 x 3))) (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 x 2))) (/.f64 1 x)))
(+.f64 (/.f64 1/9 (pow.f64 x 3)) (+.f64 (/.f64 1 x) (/.f64 1/3 (pow.f64 x 2))))
(+.f64 (/.f64 1 x) (+.f64 (/.f64 1/3 (pow.f64 x 2)) (/.f64 1/9 (pow.f64 x 3))))
(+.f64 (*.f64 1/27 (/.f64 1 (pow.f64 x 4))) (+.f64 (*.f64 1/9 (/.f64 1 (pow.f64 x 3))) (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 x 2))) (/.f64 1 x))))
(+.f64 (+.f64 (/.f64 1/27 (pow.f64 x 4)) (/.f64 1/9 (pow.f64 x 3))) (+.f64 (/.f64 1 x) (/.f64 1/3 (pow.f64 x 2))))
(+.f64 (/.f64 1/9 (pow.f64 x 3)) (+.f64 (+.f64 (/.f64 1 x) (/.f64 1/3 (pow.f64 x 2))) (/.f64 1/27 (pow.f64 x 4))))
-1/3
(-.f64 x 1/3)
(+.f64 x -1/3)
(-.f64 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)
(+.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 x -1/3)
(-.f64 x 1/3)
(+.f64 x -1/3)
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)
-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 x 1/3)
(+.f64 x -1/3)
(-.f64 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)
(+.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 x -1/3)
(-.f64 x 1/3)
(+.f64 x -1/3)
(*.f64 1/3 x)
(*.f64 x 1/3)
(+.f64 (*.f64 1/3 x) (pow.f64 x 2))
(*.f64 x (+.f64 x 1/3))
(+.f64 (*.f64 1/3 x) (pow.f64 x 2))
(*.f64 x (+.f64 x 1/3))
(+.f64 (*.f64 1/3 x) (pow.f64 x 2))
(*.f64 x (+.f64 x 1/3))
(pow.f64 x 2)
(+.f64 (*.f64 1/3 x) (pow.f64 x 2))
(*.f64 x (+.f64 x 1/3))
(+.f64 (*.f64 1/3 x) (pow.f64 x 2))
(*.f64 x (+.f64 x 1/3))
(+.f64 (*.f64 1/3 x) (pow.f64 x 2))
(*.f64 x (+.f64 x 1/3))
(pow.f64 x 2)
(+.f64 (*.f64 1/3 x) (pow.f64 x 2))
(*.f64 x (+.f64 x 1/3))
(+.f64 (*.f64 1/3 x) (pow.f64 x 2))
(*.f64 x (+.f64 x 1/3))
(+.f64 (*.f64 1/3 x) (pow.f64 x 2))
(*.f64 x (+.f64 x 1/3))
1/9
(+.f64 1/9 (*.f64 1/3 x))
(+.f64 1/9 (*.f64 x 1/3))
(fma.f64 x 1/3 1/9)
(+.f64 1/9 (+.f64 (*.f64 1/3 x) (pow.f64 x 2)))
(fma.f64 x (+.f64 x 1/3) 1/9)
(+.f64 1/9 (+.f64 (*.f64 1/3 x) (pow.f64 x 2)))
(fma.f64 x (+.f64 x 1/3) 1/9)
(pow.f64 x 2)
(+.f64 (*.f64 1/3 x) (pow.f64 x 2))
(*.f64 x (+.f64 x 1/3))
(+.f64 1/9 (+.f64 (*.f64 1/3 x) (pow.f64 x 2)))
(fma.f64 x (+.f64 x 1/3) 1/9)
(+.f64 1/9 (+.f64 (*.f64 1/3 x) (pow.f64 x 2)))
(fma.f64 x (+.f64 x 1/3) 1/9)
(pow.f64 x 2)
(+.f64 (*.f64 1/3 x) (pow.f64 x 2))
(*.f64 x (+.f64 x 1/3))
(+.f64 1/9 (+.f64 (*.f64 1/3 x) (pow.f64 x 2)))
(fma.f64 x (+.f64 x 1/3) 1/9)
(+.f64 1/9 (+.f64 (*.f64 1/3 x) (pow.f64 x 2)))
(fma.f64 x (+.f64 x 1/3) 1/9)
-1/27
(-.f64 (pow.f64 x 3) 1/27)
(+.f64 (pow.f64 x 3) -1/27)
(-.f64 (pow.f64 x 3) 1/27)
(+.f64 (pow.f64 x 3) -1/27)
(-.f64 (pow.f64 x 3) 1/27)
(+.f64 (pow.f64 x 3) -1/27)
(pow.f64 x 3)
(-.f64 (pow.f64 x 3) 1/27)
(+.f64 (pow.f64 x 3) -1/27)
(-.f64 (pow.f64 x 3) 1/27)
(+.f64 (pow.f64 x 3) -1/27)
(-.f64 (pow.f64 x 3) 1/27)
(+.f64 (pow.f64 x 3) -1/27)
(pow.f64 x 3)
(-.f64 (pow.f64 x 3) 1/27)
(+.f64 (pow.f64 x 3) -1/27)
(-.f64 (pow.f64 x 3) 1/27)
(+.f64 (pow.f64 x 3) -1/27)
(-.f64 (pow.f64 x 3) 1/27)
(+.f64 (pow.f64 x 3) -1/27)
(-.f64 (+.f64 (+.f64 x -1/3) 2) 1)
(+.f64 2/3 x)
(-.f64 (/.f64 1 (-.f64 4/3 x)) (/.f64 (pow.f64 (+.f64 x -1/3) 2) (-.f64 4/3 x)))
(/.f64 (-.f64 1 (pow.f64 (+.f64 x -1/3) 2)) (-.f64 4/3 x))
(*.f64 1 (+.f64 x 2/3))
(+.f64 2/3 x)
(*.f64 (+.f64 x 2/3) 1)
(+.f64 2/3 x)
(*.f64 (cbrt.f64 (+.f64 x 2/3)) (pow.f64 (cbrt.f64 (+.f64 x 2/3)) 2))
(+.f64 2/3 x)
(*.f64 (pow.f64 (cbrt.f64 (+.f64 x 2/3)) 2) (cbrt.f64 (+.f64 x 2/3)))
(+.f64 2/3 x)
(*.f64 (pow.f64 (cbrt.f64 (+.f64 x 2/3)) 2) (*.f64 (cbrt.f64 (+.f64 x 2/3)) 1))
(+.f64 2/3 x)
(*.f64 (sqrt.f64 (+.f64 x 2/3)) (sqrt.f64 (+.f64 x 2/3)))
(+.f64 2/3 x)
(*.f64 (sqrt.f64 (+.f64 x 2/3)) (*.f64 (sqrt.f64 (+.f64 x 2/3)) 1))
(+.f64 2/3 x)
(*.f64 (+.f64 1 (pow.f64 (+.f64 x -1/3) 3)) (/.f64 1 (+.f64 1 (*.f64 (+.f64 x -1/3) (+.f64 x -4/3)))))
(/.f64 (+.f64 1 (pow.f64 (+.f64 x -1/3) 3)) (+.f64 1 (*.f64 (+.f64 x -1/3) (+.f64 x -4/3))))
(/.f64 (+.f64 1 (pow.f64 (+.f64 x -1/3) 3)) (fma.f64 (+.f64 x -1/3) (+.f64 x -4/3) 1))
(*.f64 (-.f64 1 (pow.f64 (+.f64 x -1/3) 2)) (/.f64 1 (-.f64 4/3 x)))
(/.f64 (-.f64 1 (pow.f64 (+.f64 x -1/3) 2)) (-.f64 4/3 x))
(/.f64 1 (/.f64 (+.f64 1 (*.f64 (+.f64 x -1/3) (+.f64 x -4/3))) (+.f64 1 (pow.f64 (+.f64 x -1/3) 3))))
(/.f64 (+.f64 1 (pow.f64 (+.f64 x -1/3) 3)) (+.f64 1 (*.f64 (+.f64 x -1/3) (+.f64 x -4/3))))
(/.f64 (+.f64 1 (pow.f64 (+.f64 x -1/3) 3)) (fma.f64 (+.f64 x -1/3) (+.f64 x -4/3) 1))
(/.f64 1 (/.f64 (-.f64 4/3 x) (-.f64 1 (pow.f64 (+.f64 x -1/3) 2))))
(/.f64 (-.f64 1 (pow.f64 (+.f64 x -1/3) 2)) (-.f64 4/3 x))
(/.f64 (+.f64 1 (pow.f64 (+.f64 x -1/3) 3)) (+.f64 1 (*.f64 (+.f64 x -1/3) (+.f64 x -4/3))))
(/.f64 (+.f64 1 (pow.f64 (+.f64 x -1/3) 3)) (fma.f64 (+.f64 x -1/3) (+.f64 x -4/3) 1))
(/.f64 (+.f64 1 (pow.f64 (+.f64 x -1/3) 3)) (+.f64 (pow.f64 (+.f64 x -1/3) 2) (-.f64 4/3 x)))
(/.f64 (+.f64 1 (pow.f64 (+.f64 x -1/3) 3)) (+.f64 (-.f64 4/3 x) (pow.f64 (+.f64 x -1/3) 2)))
(/.f64 (-.f64 1 (pow.f64 (+.f64 x -1/3) 2)) (-.f64 4/3 x))
(/.f64 (neg.f64 (+.f64 1 (pow.f64 (+.f64 x -1/3) 3))) (neg.f64 (+.f64 1 (*.f64 (+.f64 x -1/3) (+.f64 x -4/3)))))
(/.f64 (+.f64 -1 (neg.f64 (pow.f64 (+.f64 x -1/3) 3))) (+.f64 -1 (neg.f64 (*.f64 (+.f64 x -1/3) (+.f64 x -4/3)))))
(/.f64 (-.f64 -1 (pow.f64 (+.f64 x -1/3) 3)) (neg.f64 (fma.f64 (+.f64 x -1/3) (+.f64 x -4/3) 1)))
(/.f64 (neg.f64 (-.f64 1 (pow.f64 (+.f64 x -1/3) 2))) (neg.f64 (-.f64 4/3 x)))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 x -1/3) 2)) (+.f64 x -4/3))
(/.f64 (+.f64 (pow.f64 (+.f64 1 x) 3) -1/27) (+.f64 (*.f64 (+.f64 1 x) (+.f64 1 x)) (-.f64 1/9 (*.f64 (+.f64 1 x) -1/3))))
(/.f64 (+.f64 -1/27 (pow.f64 (+.f64 x 1) 3)) (fma.f64 (+.f64 x 1) (+.f64 x 1) (-.f64 1/9 (*.f64 -1/3 (+.f64 x 1)))))
(/.f64 (+.f64 -1/27 (pow.f64 (+.f64 x 1) 3)) (+.f64 (fma.f64 (+.f64 x 1) (+.f64 x 1) 1/9) (*.f64 1/3 (+.f64 x 1))))
(/.f64 (-.f64 (pow.f64 (+.f64 x -1/3) 2) 1) (+.f64 x -4/3))
(/.f64 (+.f64 (pow.f64 (+.f64 x -1/3) 2) -1) (+.f64 x -4/3))
(/.f64 (-.f64 (*.f64 (+.f64 1 x) (+.f64 1 x)) 1/9) (-.f64 (+.f64 1 x) -1/3))
(/.f64 (fma.f64 (+.f64 x 1) (+.f64 x 1) -1/9) (+.f64 (+.f64 x 1) 1/3))
(/.f64 (fma.f64 (+.f64 x 1) (+.f64 x 1) -1/9) (+.f64 x 4/3))
(/.f64 (*.f64 (+.f64 1 (pow.f64 (+.f64 x -1/3) 3)) 1) (+.f64 1 (*.f64 (+.f64 x -1/3) (+.f64 x -4/3))))
(/.f64 (+.f64 1 (pow.f64 (+.f64 x -1/3) 3)) (+.f64 1 (*.f64 (+.f64 x -1/3) (+.f64 x -4/3))))
(/.f64 (+.f64 1 (pow.f64 (+.f64 x -1/3) 3)) (fma.f64 (+.f64 x -1/3) (+.f64 x -4/3) 1))
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(*.f64 (+.f64 (pow.f64 x 9) -1/19683) (/.f64 1 (-.f64 (+.f64 (pow.f64 x 6) 1/729) (*.f64 (pow.f64 x 3) -1/27))))
(/.f64 (+.f64 (pow.f64 x 9) -1/19683) (+.f64 (pow.f64 x 6) (+.f64 1/729 (*.f64 (pow.f64 x 3) 1/27))))
(*.f64 (+.f64 (pow.f64 x 6) -1/729) (/.f64 1 (+.f64 (pow.f64 x 3) 1/27)))
(/.f64 (*.f64 (+.f64 (pow.f64 x 6) -1/729) 1) (+.f64 (pow.f64 x 3) 1/27))
(/.f64 (+.f64 (pow.f64 x 6) -1/729) (+.f64 (pow.f64 x 3) 1/27))
(/.f64 1 (/.f64 (-.f64 (+.f64 (pow.f64 x 6) 1/729) (*.f64 (pow.f64 x 3) -1/27)) (+.f64 (pow.f64 x 9) -1/19683)))
(*.f64 (+.f64 (pow.f64 x 9) -1/19683) (/.f64 1 (-.f64 (+.f64 (pow.f64 x 6) 1/729) (*.f64 (pow.f64 x 3) -1/27))))
(/.f64 (+.f64 (pow.f64 x 9) -1/19683) (+.f64 (pow.f64 x 6) (+.f64 1/729 (*.f64 (pow.f64 x 3) 1/27))))
(/.f64 1 (/.f64 (+.f64 (pow.f64 x 3) 1/27) (+.f64 (pow.f64 x 6) -1/729)))
(/.f64 (*.f64 (+.f64 (pow.f64 x 6) -1/729) 1) (+.f64 (pow.f64 x 3) 1/27))
(/.f64 (+.f64 (pow.f64 x 6) -1/729) (+.f64 (pow.f64 x 3) 1/27))
(/.f64 (+.f64 (pow.f64 x 9) -1/19683) (-.f64 (+.f64 (pow.f64 x 6) 1/729) (*.f64 (pow.f64 x 3) -1/27)))
(*.f64 (+.f64 (pow.f64 x 9) -1/19683) (/.f64 1 (-.f64 (+.f64 (pow.f64 x 6) 1/729) (*.f64 (pow.f64 x 3) -1/27))))
(/.f64 (+.f64 (pow.f64 x 9) -1/19683) (+.f64 (pow.f64 x 6) (+.f64 1/729 (*.f64 (pow.f64 x 3) 1/27))))
(/.f64 (+.f64 (pow.f64 x 9) -1/19683) (+.f64 1/729 (-.f64 (pow.f64 x 6) (*.f64 (pow.f64 x 3) -1/27))))
(*.f64 (+.f64 (pow.f64 x 9) -1/19683) (/.f64 1 (-.f64 (+.f64 (pow.f64 x 6) 1/729) (*.f64 (pow.f64 x 3) -1/27))))
(/.f64 (+.f64 (pow.f64 x 9) -1/19683) (+.f64 (pow.f64 x 6) (+.f64 1/729 (*.f64 (pow.f64 x 3) 1/27))))
(/.f64 (+.f64 (pow.f64 x 6) -1/729) (+.f64 (pow.f64 x 3) 1/27))
(/.f64 (*.f64 (+.f64 (pow.f64 x 6) -1/729) 1) (+.f64 (pow.f64 x 3) 1/27))
(/.f64 (neg.f64 (+.f64 (pow.f64 x 9) -1/19683)) (neg.f64 (-.f64 (+.f64 (pow.f64 x 6) 1/729) (*.f64 (pow.f64 x 3) -1/27))))
(/.f64 (+.f64 (neg.f64 (pow.f64 x 9)) 1/19683) (neg.f64 (-.f64 (+.f64 (pow.f64 x 6) 1/729) (*.f64 (pow.f64 x 3) -1/27))))
(/.f64 (-.f64 1/19683 (pow.f64 x 9)) (-.f64 -1/729 (*.f64 (pow.f64 x 3) (-.f64 (pow.f64 x 3) -1/27))))
(/.f64 (neg.f64 (+.f64 (pow.f64 x 6) -1/729)) (neg.f64 (+.f64 (pow.f64 x 3) 1/27)))
(/.f64 (+.f64 (neg.f64 (pow.f64 x 6)) 1/729) (+.f64 (neg.f64 (pow.f64 x 3)) -1/27))
(/.f64 (-.f64 1/729 (pow.f64 x 6)) (-.f64 -1/27 (pow.f64 x 3)))
(/.f64 (-.f64 1/729 (pow.f64 x 6)) (-.f64 -1/27 (pow.f64 x 3)))
(/.f64 (+.f64 (neg.f64 (pow.f64 x 6)) 1/729) (+.f64 (neg.f64 (pow.f64 x 3)) -1/27))
(pow.f64 (+.f64 (pow.f64 x 3) -1/27) 1)
(+.f64 (pow.f64 x 3) -1/27)
(pow.f64 (cbrt.f64 (+.f64 (pow.f64 x 3) -1/27)) 3)
(+.f64 (pow.f64 x 3) -1/27)
(pow.f64 (pow.f64 (+.f64 (pow.f64 x 3) -1/27) 3) 1/3)
(+.f64 (pow.f64 x 3) -1/27)
(pow.f64 (sqrt.f64 (+.f64 (pow.f64 x 3) -1/27)) 2)
(+.f64 (pow.f64 x 3) -1/27)
(sqrt.f64 (pow.f64 (+.f64 (pow.f64 x 3) -1/27) 2))
(fabs.f64 (+.f64 (pow.f64 x 3) -1/27))
(log.f64 (exp.f64 (+.f64 (pow.f64 x 3) -1/27)))
(+.f64 (pow.f64 x 3) -1/27)
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (pow.f64 x 3) -1/27))))
(+.f64 (pow.f64 x 3) -1/27)
(cbrt.f64 (pow.f64 (+.f64 (pow.f64 x 3) -1/27) 3))
(+.f64 (pow.f64 x 3) -1/27)
(expm1.f64 (log1p.f64 (+.f64 (pow.f64 x 3) -1/27)))
(+.f64 (pow.f64 x 3) -1/27)
(exp.f64 (log.f64 (+.f64 (pow.f64 x 3) -1/27)))
(+.f64 (pow.f64 x 3) -1/27)
(exp.f64 (*.f64 (log.f64 (+.f64 (pow.f64 x 3) -1/27)) 1))
(+.f64 (pow.f64 x 3) -1/27)
(log1p.f64 (expm1.f64 (+.f64 (pow.f64 x 3) -1/27)))
(+.f64 (pow.f64 x 3) -1/27)
(fma.f64 1 (pow.f64 x 3) -1/27)
(+.f64 (pow.f64 x 3) -1/27)
(fma.f64 x (pow.f64 x 2) -1/27)
(+.f64 (pow.f64 x 3) -1/27)
(fma.f64 (pow.f64 x 2) x -1/27)
(+.f64 (pow.f64 x 3) -1/27)
(fma.f64 (pow.f64 x 3/2) (pow.f64 x 3/2) -1/27)
(+.f64 (pow.f64 x 3) -1/27)

eval437.0ms (13.4%)

Compiler

Compiled 9766 to 7801 computations (20.1% saved)

prune134.0ms (4.1%)

Pruning

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New5993602
Fresh022
Picked303
Done011
Total6026608
Accuracy
100.0%
Counts
608 → 6
Alt Table
Click to see full alt table
StatusAccuracyProgram
46.5%
(/.f64 1 (/.f64 (+.f64 x 1/3) -1/9))
99.3%
(-.f64 (+.f64 x 2/3) 1)
46.5%
(-.f64 2/3 1)
100.0%
(+.f64 x -1/3)
54.9%
x
47.1%
-1/3
46.5%
(/.f64 1 (/.f64 (+.f64 x 1/3) -1/9))
99.3%
(-.f64 (+.f64 x 2/3) 1)
46.5%
(-.f64 2/3 1)
100.0%
(+.f64 x -1/3)
54.9%
x
47.1%
-1/3
Compiler

Compiled 52 to 44 computations (15.4% saved)

localize59.0ms (1.8%)

Localize:

Found 6 expressions with local error:

NewAccuracyProgram
100.0%
(+.f64 x 1/3)
99.6%
(/.f64 (+.f64 x 1/3) -1/9)
99.5%
(/.f64 1 (/.f64 (+.f64 x 1/3) -1/9))
100.0%
(+.f64 x 2/3)
99.3%
(-.f64 (+.f64 x 2/3) 1)
98.4%
(-.f64 2/3 1)
Compiler

Compiled 37 to 30 computations (18.9% saved)

series2.0ms (0.1%)

Counts
5 → 48
Calls

12 calls:

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

rewrite108.0ms (3.3%)

Algorithm
batch-egg-rewrite
Rules
921×log1p-expm1-u
921×expm1-log1p-u
772×log-prod
542×fma-def
474×prod-diff
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01659
118853
2258753
Stop Event
node limit
Counts
5 → 155
Calls
Call 1
Inputs
(-.f64 2/3 1)
(-.f64 (+.f64 x 2/3) 1)
(+.f64 x 2/3)
(/.f64 1 (/.f64 (+.f64 x 1/3) -1/9))
(/.f64 (+.f64 x 1/3) -1/9)
Outputs
-1/3
(+.f64 2/3 (+.f64 x -1))
(+.f64 -1/3 x)
(+.f64 x -1/3)
(+.f64 x (log.f64 (exp.f64 -1/3)))
(+.f64 (+.f64 2/3 x) -1)
(+.f64 (+.f64 2/3 x) (log.f64 (exp.f64 -1)))
(+.f64 -1 (+.f64 2/3 x))
(+.f64 0 (+.f64 -1/3 x))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (+.f64 -1/3 x))) (cbrt.f64 (exp.f64 (+.f64 -1/3 x))))) (log.f64 (cbrt.f64 (exp.f64 (+.f64 -1/3 x)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (+.f64 -1/3 x)))) (log.f64 (sqrt.f64 (exp.f64 (+.f64 -1/3 x)))))
(*.f64 1 (+.f64 -1/3 x))
(*.f64 (+.f64 -1/3 x) 1)
(*.f64 (cbrt.f64 (+.f64 -1/3 x)) (pow.f64 (cbrt.f64 (+.f64 -1/3 x)) 2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 -1/3 x)) 2) (cbrt.f64 (+.f64 -1/3 x)))
(*.f64 (sqrt.f64 (+.f64 -1/3 x)) (sqrt.f64 (+.f64 -1/3 x)))
(*.f64 (+.f64 (pow.f64 (+.f64 2/3 x) 3) -1) (/.f64 1 (+.f64 (pow.f64 (+.f64 2/3 x) 2) (+.f64 x 5/3))))
(*.f64 (+.f64 (pow.f64 (+.f64 2/3 x) 2) -1) (/.f64 1 (+.f64 x 5/3)))
(*.f64 (+.f64 (sqrt.f64 (+.f64 2/3 x)) 1) (-.f64 (sqrt.f64 (+.f64 2/3 x)) 1))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (+.f64 2/3 x) 2) (+.f64 x 5/3)) (+.f64 (pow.f64 (+.f64 2/3 x) 3) -1)))
(/.f64 1 (/.f64 (+.f64 x 5/3) (+.f64 (pow.f64 (+.f64 2/3 x) 2) -1)))
(/.f64 (+.f64 (pow.f64 (+.f64 2/3 x) 3) -1) (+.f64 (pow.f64 (+.f64 2/3 x) 2) (+.f64 x 5/3)))
(/.f64 (+.f64 (pow.f64 (+.f64 2/3 x) 3) -1) (+.f64 (pow.f64 (+.f64 2/3 x) 2) (-.f64 1 (*.f64 (+.f64 2/3 x) -1))))
(/.f64 (fma.f64 x x -1/9) (+.f64 x 1/3))
(/.f64 (+.f64 (pow.f64 (+.f64 2/3 x) 2) -1) (+.f64 x 5/3))
(/.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 2/3 x) 3) -1)) (neg.f64 (+.f64 (pow.f64 (+.f64 2/3 x) 2) (+.f64 x 5/3))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 2/3 x) 2) -1)) (neg.f64 (+.f64 x 5/3)))
(/.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) (fma.f64 x x (+.f64 1/9 (*.f64 x 1/3))))
(pow.f64 (+.f64 -1/3 x) 1)
(pow.f64 (cbrt.f64 (+.f64 -1/3 x)) 3)
(pow.f64 (pow.f64 (+.f64 -1/3 x) 3) 1/3)
(pow.f64 (sqrt.f64 (+.f64 -1/3 x)) 2)
(sqrt.f64 (pow.f64 (+.f64 -1/3 x) 2))
(log.f64 (exp.f64 (+.f64 -1/3 x)))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 -1/3 x))))
(cbrt.f64 (pow.f64 (+.f64 -1/3 x) 3))
(expm1.f64 (log.f64 (+.f64 2/3 x)))
(exp.f64 (log.f64 (+.f64 -1/3 x)))
(exp.f64 (*.f64 (log.f64 (+.f64 -1/3 x)) 1))
(log1p.f64 (expm1.f64 (+.f64 -1/3 x)))
(fma.f64 1 x -1/3)
(fma.f64 1 (+.f64 2/3 x) -1)
(fma.f64 x 1 -1/3)
(fma.f64 (+.f64 2/3 x) 1 -1)
(fma.f64 (cbrt.f64 (+.f64 2/3 x)) (pow.f64 (cbrt.f64 (+.f64 2/3 x)) 2) -1)
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 2/3 x)) 2) (cbrt.f64 (+.f64 2/3 x)) -1)
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 2/3 x)) 2) (*.f64 (cbrt.f64 (+.f64 2/3 x)) 1) -1)
(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 (+.f64 2/3 x)) (sqrt.f64 (+.f64 2/3 x)) -1)
(fma.f64 (sqrt.f64 (+.f64 2/3 x)) (*.f64 (sqrt.f64 (+.f64 2/3 x)) 1) -1)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) -1/3)
(fma.f64 (+.f64 (pow.f64 x 3) 8/27) (/.f64 1 (-.f64 (fma.f64 x x 4/9) (*.f64 2/3 x))) -1)
(fma.f64 (fma.f64 x x -4/9) (/.f64 1 (+.f64 x -2/3)) -1)
(-.f64 (+.f64 x 5/3) 1)
(-.f64 (/.f64 (pow.f64 x 2) (+.f64 x -2/3)) (/.f64 4/9 (+.f64 x -2/3)))
(*.f64 1 (+.f64 2/3 x))
(*.f64 (+.f64 2/3 x) 1)
(*.f64 (cbrt.f64 (+.f64 2/3 x)) (pow.f64 (cbrt.f64 (+.f64 2/3 x)) 2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 2/3 x)) 2) (cbrt.f64 (+.f64 2/3 x)))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 2/3 x)) 2) (*.f64 (cbrt.f64 (+.f64 2/3 x)) 1))
(*.f64 (sqrt.f64 (+.f64 2/3 x)) (sqrt.f64 (+.f64 2/3 x)))
(*.f64 (sqrt.f64 (+.f64 2/3 x)) (*.f64 (sqrt.f64 (+.f64 2/3 x)) 1))
(*.f64 (+.f64 (pow.f64 x 3) 8/27) (/.f64 1 (-.f64 (fma.f64 x x 4/9) (*.f64 2/3 x))))
(*.f64 (fma.f64 x x -4/9) (/.f64 1 (+.f64 x -2/3)))
(/.f64 1 (/.f64 (-.f64 (fma.f64 x x 4/9) (*.f64 2/3 x)) (+.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) (-.f64 (fma.f64 x x 4/9) (*.f64 2/3 x)))
(/.f64 (+.f64 (pow.f64 x 3) 8/27) (+.f64 4/9 (-.f64 (pow.f64 x 2) (*.f64 2/3 x))))
(/.f64 (fma.f64 x x -4/9) (+.f64 x -2/3))
(/.f64 (neg.f64 (+.f64 (pow.f64 x 3) 8/27)) (neg.f64 (-.f64 (fma.f64 x x 4/9) (*.f64 2/3 x))))
(/.f64 (neg.f64 (fma.f64 x x -4/9)) (neg.f64 (+.f64 x -2/3)))
(/.f64 (-.f64 4/9 (pow.f64 x 2)) (-.f64 2/3 x))
(/.f64 (*.f64 (+.f64 (pow.f64 x 3) 8/27) 1) (-.f64 (fma.f64 x x 4/9) (*.f64 2/3 x)))
(/.f64 (*.f64 (fma.f64 x x -4/9) 1) (+.f64 x -2/3))
(pow.f64 (+.f64 2/3 x) 1)
(pow.f64 (cbrt.f64 (+.f64 2/3 x)) 3)
(pow.f64 (pow.f64 (+.f64 2/3 x) 3) 1/3)
(pow.f64 (sqrt.f64 (+.f64 2/3 x)) 2)
(sqrt.f64 (pow.f64 (+.f64 2/3 x) 2))
(log.f64 (exp.f64 (+.f64 2/3 x)))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 2/3 x))))
(cbrt.f64 (pow.f64 (+.f64 2/3 x) 3))
(expm1.f64 (log.f64 (+.f64 x 5/3)))
(exp.f64 (log.f64 (+.f64 2/3 x)))
(log1p.f64 (expm1.f64 (+.f64 2/3 x)))
(fma.f64 1 x 2/3)
(fma.f64 1 (+.f64 x 5/3) -1)
(fma.f64 x 1 2/3)
(fma.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) 2) 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)
(fma.f64 (+.f64 x 5/3) 1 -1)
(fma.f64 (*.f64 (cbrt.f64 (+.f64 x 5/3)) (cbrt.f64 (+.f64 x 5/3))) (cbrt.f64 (+.f64 x 5/3)) -1)
(fma.f64 (sqrt.f64 (+.f64 x 5/3)) (sqrt.f64 (+.f64 x 5/3)) -1)
(+.f64 0 (/.f64 -1/9 (+.f64 x 1/3)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (/.f64 -1/9 (+.f64 x 1/3)))) (cbrt.f64 (exp.f64 (/.f64 -1/9 (+.f64 x 1/3)))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 -1/9 (+.f64 x 1/3))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 -1/9 (+.f64 x 1/3))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 -1/9 (+.f64 x 1/3))))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 -1/9 (+.f64 x 1/3)))) 1)
(*.f64 1 (/.f64 -1/9 (+.f64 x 1/3)))
(*.f64 -1/9 (/.f64 1 (+.f64 x 1/3)))
(*.f64 -1 (/.f64 1 (*.f64 (+.f64 x 1/3) 9)))
(*.f64 (cbrt.f64 (/.f64 -1/9 (+.f64 x 1/3))) (cbrt.f64 (pow.f64 (*.f64 (+.f64 x 1/3) -9) -2)))
(*.f64 (cbrt.f64 (pow.f64 (*.f64 (+.f64 x 1/3) -9) -2)) (cbrt.f64 (/.f64 -1/9 (+.f64 x 1/3))))
(*.f64 (sqrt.f64 (/.f64 -1/9 (+.f64 x 1/3))) (sqrt.f64 (/.f64 -1/9 (+.f64 x 1/3))))
(*.f64 (/.f64 -1/9 (+.f64 x 1/3)) 1)
(*.f64 (/.f64 1 (+.f64 x 1/3)) -1/9)
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (*.f64 (+.f64 x 1/3) -9)) 2) -1) (pow.f64 (cbrt.f64 (*.f64 (+.f64 x 1/3) -9)) -1))
(*.f64 (pow.f64 (sqrt.f64 (*.f64 (+.f64 x 1/3) -9)) -1) (pow.f64 (sqrt.f64 (*.f64 (+.f64 x 1/3) -9)) -1))
(*.f64 (/.f64 1 (+.f64 -1/3 (neg.f64 x))) 1/9)
(*.f64 (/.f64 -1/9 (+.f64 (pow.f64 x 3) 1/27)) (-.f64 (fma.f64 x x 1/9) (*.f64 x 1/3)))
(*.f64 (/.f64 -1/9 (fma.f64 x x -1/9)) (+.f64 -1/3 x))
(pow.f64 (*.f64 (+.f64 x 1/3) -9) -1)
(pow.f64 (cbrt.f64 (/.f64 -1/9 (+.f64 x 1/3))) 3)
(pow.f64 (pow.f64 (/.f64 -1/9 (+.f64 x 1/3)) 3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 -1/9 (+.f64 x 1/3))) 2)
(pow.f64 (/.f64 -1/9 (+.f64 x 1/3)) 1)
(sqrt.f64 (pow.f64 (*.f64 (+.f64 x 1/3) -9) -2))
(log.f64 (exp.f64 (/.f64 -1/9 (+.f64 x 1/3))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 -1/9 (+.f64 x 1/3)))))
(cbrt.f64 (pow.f64 (/.f64 -1/9 (+.f64 x 1/3)) 3))
(expm1.f64 (log1p.f64 (/.f64 -1/9 (+.f64 x 1/3))))
(exp.f64 (log.f64 (/.f64 -1/9 (+.f64 x 1/3))))
(exp.f64 (*.f64 (log.f64 (*.f64 (+.f64 x 1/3) -9)) -1))
(exp.f64 (*.f64 (log.f64 (/.f64 -1/9 (+.f64 x 1/3))) 1))
(log1p.f64 (expm1.f64 (/.f64 -1/9 (+.f64 x 1/3))))
(+.f64 0 (*.f64 (+.f64 x 1/3) -9))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 (+.f64 x 1/3)) -9)) (cbrt.f64 (pow.f64 (exp.f64 (+.f64 x 1/3)) -9)))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (+.f64 x 1/3)) -9))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (+.f64 x 1/3)) -9))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (+.f64 x 1/3)) -9))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (+.f64 x 1/3) -9))) 1)
(*.f64 1 (*.f64 (+.f64 x 1/3) -9))
(*.f64 (+.f64 x 1/3) -9)
(*.f64 (*.f64 (+.f64 x 1/3) -9) 1)
(*.f64 (cbrt.f64 (*.f64 (+.f64 x 1/3) -9)) (pow.f64 (cbrt.f64 (*.f64 (+.f64 x 1/3) -9)) 2))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 (+.f64 x 1/3) -9)) 2) (cbrt.f64 (*.f64 (+.f64 x 1/3) -9)))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 x 1/3)) 2) (*.f64 (cbrt.f64 (+.f64 x 1/3)) -9))
(*.f64 (sqrt.f64 (*.f64 (+.f64 x 1/3) -9)) (sqrt.f64 (*.f64 (+.f64 x 1/3) -9)))
(*.f64 (sqrt.f64 (+.f64 x 1/3)) (*.f64 (sqrt.f64 (+.f64 x 1/3)) -9))
(*.f64 (+.f64 -1/3 (neg.f64 x)) 9)
(*.f64 -9 (+.f64 x 1/3))
(pow.f64 (*.f64 (+.f64 x 1/3) -9) 1)
(pow.f64 (cbrt.f64 (*.f64 (+.f64 x 1/3) -9)) 3)
(pow.f64 (pow.f64 (*.f64 (+.f64 x 1/3) -9) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 (+.f64 x 1/3) -9)) 2)
(pow.f64 (/.f64 -1/9 (+.f64 x 1/3)) -1)
(neg.f64 (/.f64 (+.f64 x 1/3) 1/9))
(sqrt.f64 (*.f64 (pow.f64 (+.f64 x 1/3) 2) 81))
(log.f64 (pow.f64 (exp.f64 (+.f64 x 1/3)) -9))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (+.f64 x 1/3) -9))))
(cbrt.f64 (pow.f64 (*.f64 (+.f64 x 1/3) -9) 3))
(expm1.f64 (log1p.f64 (*.f64 (+.f64 x 1/3) -9)))
(exp.f64 (log.f64 (*.f64 (+.f64 x 1/3) -9)))
(exp.f64 (*.f64 (log.f64 (*.f64 (+.f64 x 1/3) -9)) 1))
(log1p.f64 (expm1.f64 (*.f64 (+.f64 x 1/3) -9)))

simplify86.0ms (2.6%)

Algorithm
egg-herbie
Rules
1440×times-frac
706×associate-*r/
536×log-prod
494×associate-+r+
484×cancel-sign-sub-inv
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
03614014
17943842
226493625
Stop Event
node limit
Counts
203 → 223
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)
2/3
(+.f64 2/3 x)
(+.f64 2/3 x)
(+.f64 2/3 x)
x
(+.f64 2/3 x)
(+.f64 2/3 x)
(+.f64 2/3 x)
x
(+.f64 2/3 x)
(+.f64 2/3 x)
(+.f64 2/3 x)
-1/3
(-.f64 x 1/3)
(-.f64 (+.f64 x (*.f64 -3 (pow.f64 x 2))) 1/3)
(-.f64 (+.f64 x (+.f64 (*.f64 -3 (pow.f64 x 2)) (*.f64 9 (pow.f64 x 3)))) 1/3)
(/.f64 -1/9 x)
(-.f64 (*.f64 1/27 (/.f64 1 (pow.f64 x 2))) (*.f64 1/9 (/.f64 1 x)))
(-.f64 (*.f64 1/27 (/.f64 1 (pow.f64 x 2))) (+.f64 (*.f64 1/81 (/.f64 1 (pow.f64 x 3))) (*.f64 1/9 (/.f64 1 x))))
(-.f64 (+.f64 (*.f64 1/243 (/.f64 1 (pow.f64 x 4))) (*.f64 1/27 (/.f64 1 (pow.f64 x 2)))) (+.f64 (*.f64 1/81 (/.f64 1 (pow.f64 x 3))) (*.f64 1/9 (/.f64 1 x))))
(/.f64 -1/9 x)
(-.f64 (*.f64 1/27 (/.f64 1 (pow.f64 x 2))) (*.f64 1/9 (/.f64 1 x)))
(-.f64 (*.f64 1/27 (/.f64 1 (pow.f64 x 2))) (+.f64 (*.f64 1/81 (/.f64 1 (pow.f64 x 3))) (*.f64 1/9 (/.f64 1 x))))
(-.f64 (+.f64 (*.f64 1/243 (/.f64 1 (pow.f64 x 4))) (*.f64 1/27 (/.f64 1 (pow.f64 x 2)))) (+.f64 (*.f64 1/81 (/.f64 1 (pow.f64 x 3))) (*.f64 1/9 (/.f64 1 x))))
-3
(-.f64 (*.f64 -9 x) 3)
(-.f64 (*.f64 -9 x) 3)
(-.f64 (*.f64 -9 x) 3)
(*.f64 -9 x)
(-.f64 (*.f64 -9 x) 3)
(-.f64 (*.f64 -9 x) 3)
(-.f64 (*.f64 -9 x) 3)
(*.f64 -9 x)
(-.f64 (*.f64 -9 x) 3)
(-.f64 (*.f64 -9 x) 3)
(-.f64 (*.f64 -9 x) 3)
-1/3
(+.f64 2/3 (+.f64 x -1))
(+.f64 -1/3 x)
(+.f64 x -1/3)
(+.f64 x (log.f64 (exp.f64 -1/3)))
(+.f64 (+.f64 2/3 x) -1)
(+.f64 (+.f64 2/3 x) (log.f64 (exp.f64 -1)))
(+.f64 -1 (+.f64 2/3 x))
(+.f64 0 (+.f64 -1/3 x))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (+.f64 -1/3 x))) (cbrt.f64 (exp.f64 (+.f64 -1/3 x))))) (log.f64 (cbrt.f64 (exp.f64 (+.f64 -1/3 x)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (+.f64 -1/3 x)))) (log.f64 (sqrt.f64 (exp.f64 (+.f64 -1/3 x)))))
(*.f64 1 (+.f64 -1/3 x))
(*.f64 (+.f64 -1/3 x) 1)
(*.f64 (cbrt.f64 (+.f64 -1/3 x)) (pow.f64 (cbrt.f64 (+.f64 -1/3 x)) 2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 -1/3 x)) 2) (cbrt.f64 (+.f64 -1/3 x)))
(*.f64 (sqrt.f64 (+.f64 -1/3 x)) (sqrt.f64 (+.f64 -1/3 x)))
(*.f64 (+.f64 (pow.f64 (+.f64 2/3 x) 3) -1) (/.f64 1 (+.f64 (pow.f64 (+.f64 2/3 x) 2) (+.f64 x 5/3))))
(*.f64 (+.f64 (pow.f64 (+.f64 2/3 x) 2) -1) (/.f64 1 (+.f64 x 5/3)))
(*.f64 (+.f64 (sqrt.f64 (+.f64 2/3 x)) 1) (-.f64 (sqrt.f64 (+.f64 2/3 x)) 1))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (+.f64 2/3 x) 2) (+.f64 x 5/3)) (+.f64 (pow.f64 (+.f64 2/3 x) 3) -1)))
(/.f64 1 (/.f64 (+.f64 x 5/3) (+.f64 (pow.f64 (+.f64 2/3 x) 2) -1)))
(/.f64 (+.f64 (pow.f64 (+.f64 2/3 x) 3) -1) (+.f64 (pow.f64 (+.f64 2/3 x) 2) (+.f64 x 5/3)))
(/.f64 (+.f64 (pow.f64 (+.f64 2/3 x) 3) -1) (+.f64 (pow.f64 (+.f64 2/3 x) 2) (-.f64 1 (*.f64 (+.f64 2/3 x) -1))))
(/.f64 (fma.f64 x x -1/9) (+.f64 x 1/3))
(/.f64 (+.f64 (pow.f64 (+.f64 2/3 x) 2) -1) (+.f64 x 5/3))
(/.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 2/3 x) 3) -1)) (neg.f64 (+.f64 (pow.f64 (+.f64 2/3 x) 2) (+.f64 x 5/3))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 2/3 x) 2) -1)) (neg.f64 (+.f64 x 5/3)))
(/.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) (fma.f64 x x (+.f64 1/9 (*.f64 x 1/3))))
(pow.f64 (+.f64 -1/3 x) 1)
(pow.f64 (cbrt.f64 (+.f64 -1/3 x)) 3)
(pow.f64 (pow.f64 (+.f64 -1/3 x) 3) 1/3)
(pow.f64 (sqrt.f64 (+.f64 -1/3 x)) 2)
(sqrt.f64 (pow.f64 (+.f64 -1/3 x) 2))
(log.f64 (exp.f64 (+.f64 -1/3 x)))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 -1/3 x))))
(cbrt.f64 (pow.f64 (+.f64 -1/3 x) 3))
(expm1.f64 (log.f64 (+.f64 2/3 x)))
(exp.f64 (log.f64 (+.f64 -1/3 x)))
(exp.f64 (*.f64 (log.f64 (+.f64 -1/3 x)) 1))
(log1p.f64 (expm1.f64 (+.f64 -1/3 x)))
(fma.f64 1 x -1/3)
(fma.f64 1 (+.f64 2/3 x) -1)
(fma.f64 x 1 -1/3)
(fma.f64 (+.f64 2/3 x) 1 -1)
(fma.f64 (cbrt.f64 (+.f64 2/3 x)) (pow.f64 (cbrt.f64 (+.f64 2/3 x)) 2) -1)
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 2/3 x)) 2) (cbrt.f64 (+.f64 2/3 x)) -1)
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 2/3 x)) 2) (*.f64 (cbrt.f64 (+.f64 2/3 x)) 1) -1)
(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 (+.f64 2/3 x)) (sqrt.f64 (+.f64 2/3 x)) -1)
(fma.f64 (sqrt.f64 (+.f64 2/3 x)) (*.f64 (sqrt.f64 (+.f64 2/3 x)) 1) -1)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) -1/3)
(fma.f64 (+.f64 (pow.f64 x 3) 8/27) (/.f64 1 (-.f64 (fma.f64 x x 4/9) (*.f64 2/3 x))) -1)
(fma.f64 (fma.f64 x x -4/9) (/.f64 1 (+.f64 x -2/3)) -1)
(-.f64 (+.f64 x 5/3) 1)
(-.f64 (/.f64 (pow.f64 x 2) (+.f64 x -2/3)) (/.f64 4/9 (+.f64 x -2/3)))
(*.f64 1 (+.f64 2/3 x))
(*.f64 (+.f64 2/3 x) 1)
(*.f64 (cbrt.f64 (+.f64 2/3 x)) (pow.f64 (cbrt.f64 (+.f64 2/3 x)) 2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 2/3 x)) 2) (cbrt.f64 (+.f64 2/3 x)))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 2/3 x)) 2) (*.f64 (cbrt.f64 (+.f64 2/3 x)) 1))
(*.f64 (sqrt.f64 (+.f64 2/3 x)) (sqrt.f64 (+.f64 2/3 x)))
(*.f64 (sqrt.f64 (+.f64 2/3 x)) (*.f64 (sqrt.f64 (+.f64 2/3 x)) 1))
(*.f64 (+.f64 (pow.f64 x 3) 8/27) (/.f64 1 (-.f64 (fma.f64 x x 4/9) (*.f64 2/3 x))))
(*.f64 (fma.f64 x x -4/9) (/.f64 1 (+.f64 x -2/3)))
(/.f64 1 (/.f64 (-.f64 (fma.f64 x x 4/9) (*.f64 2/3 x)) (+.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) (-.f64 (fma.f64 x x 4/9) (*.f64 2/3 x)))
(/.f64 (+.f64 (pow.f64 x 3) 8/27) (+.f64 4/9 (-.f64 (pow.f64 x 2) (*.f64 2/3 x))))
(/.f64 (fma.f64 x x -4/9) (+.f64 x -2/3))
(/.f64 (neg.f64 (+.f64 (pow.f64 x 3) 8/27)) (neg.f64 (-.f64 (fma.f64 x x 4/9) (*.f64 2/3 x))))
(/.f64 (neg.f64 (fma.f64 x x -4/9)) (neg.f64 (+.f64 x -2/3)))
(/.f64 (-.f64 4/9 (pow.f64 x 2)) (-.f64 2/3 x))
(/.f64 (*.f64 (+.f64 (pow.f64 x 3) 8/27) 1) (-.f64 (fma.f64 x x 4/9) (*.f64 2/3 x)))
(/.f64 (*.f64 (fma.f64 x x -4/9) 1) (+.f64 x -2/3))
(pow.f64 (+.f64 2/3 x) 1)
(pow.f64 (cbrt.f64 (+.f64 2/3 x)) 3)
(pow.f64 (pow.f64 (+.f64 2/3 x) 3) 1/3)
(pow.f64 (sqrt.f64 (+.f64 2/3 x)) 2)
(sqrt.f64 (pow.f64 (+.f64 2/3 x) 2))
(log.f64 (exp.f64 (+.f64 2/3 x)))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 2/3 x))))
(cbrt.f64 (pow.f64 (+.f64 2/3 x) 3))
(expm1.f64 (log.f64 (+.f64 x 5/3)))
(exp.f64 (log.f64 (+.f64 2/3 x)))
(log1p.f64 (expm1.f64 (+.f64 2/3 x)))
(fma.f64 1 x 2/3)
(fma.f64 1 (+.f64 x 5/3) -1)
(fma.f64 x 1 2/3)
(fma.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) 2) 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)
(fma.f64 (+.f64 x 5/3) 1 -1)
(fma.f64 (*.f64 (cbrt.f64 (+.f64 x 5/3)) (cbrt.f64 (+.f64 x 5/3))) (cbrt.f64 (+.f64 x 5/3)) -1)
(fma.f64 (sqrt.f64 (+.f64 x 5/3)) (sqrt.f64 (+.f64 x 5/3)) -1)
(+.f64 0 (/.f64 -1/9 (+.f64 x 1/3)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (/.f64 -1/9 (+.f64 x 1/3)))) (cbrt.f64 (exp.f64 (/.f64 -1/9 (+.f64 x 1/3)))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 -1/9 (+.f64 x 1/3))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 -1/9 (+.f64 x 1/3))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 -1/9 (+.f64 x 1/3))))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 -1/9 (+.f64 x 1/3)))) 1)
(*.f64 1 (/.f64 -1/9 (+.f64 x 1/3)))
(*.f64 -1/9 (/.f64 1 (+.f64 x 1/3)))
(*.f64 -1 (/.f64 1 (*.f64 (+.f64 x 1/3) 9)))
(*.f64 (cbrt.f64 (/.f64 -1/9 (+.f64 x 1/3))) (cbrt.f64 (pow.f64 (*.f64 (+.f64 x 1/3) -9) -2)))
(*.f64 (cbrt.f64 (pow.f64 (*.f64 (+.f64 x 1/3) -9) -2)) (cbrt.f64 (/.f64 -1/9 (+.f64 x 1/3))))
(*.f64 (sqrt.f64 (/.f64 -1/9 (+.f64 x 1/3))) (sqrt.f64 (/.f64 -1/9 (+.f64 x 1/3))))
(*.f64 (/.f64 -1/9 (+.f64 x 1/3)) 1)
(*.f64 (/.f64 1 (+.f64 x 1/3)) -1/9)
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (*.f64 (+.f64 x 1/3) -9)) 2) -1) (pow.f64 (cbrt.f64 (*.f64 (+.f64 x 1/3) -9)) -1))
(*.f64 (pow.f64 (sqrt.f64 (*.f64 (+.f64 x 1/3) -9)) -1) (pow.f64 (sqrt.f64 (*.f64 (+.f64 x 1/3) -9)) -1))
(*.f64 (/.f64 1 (+.f64 -1/3 (neg.f64 x))) 1/9)
(*.f64 (/.f64 -1/9 (+.f64 (pow.f64 x 3) 1/27)) (-.f64 (fma.f64 x x 1/9) (*.f64 x 1/3)))
(*.f64 (/.f64 -1/9 (fma.f64 x x -1/9)) (+.f64 -1/3 x))
(pow.f64 (*.f64 (+.f64 x 1/3) -9) -1)
(pow.f64 (cbrt.f64 (/.f64 -1/9 (+.f64 x 1/3))) 3)
(pow.f64 (pow.f64 (/.f64 -1/9 (+.f64 x 1/3)) 3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 -1/9 (+.f64 x 1/3))) 2)
(pow.f64 (/.f64 -1/9 (+.f64 x 1/3)) 1)
(sqrt.f64 (pow.f64 (*.f64 (+.f64 x 1/3) -9) -2))
(log.f64 (exp.f64 (/.f64 -1/9 (+.f64 x 1/3))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 -1/9 (+.f64 x 1/3)))))
(cbrt.f64 (pow.f64 (/.f64 -1/9 (+.f64 x 1/3)) 3))
(expm1.f64 (log1p.f64 (/.f64 -1/9 (+.f64 x 1/3))))
(exp.f64 (log.f64 (/.f64 -1/9 (+.f64 x 1/3))))
(exp.f64 (*.f64 (log.f64 (*.f64 (+.f64 x 1/3) -9)) -1))
(exp.f64 (*.f64 (log.f64 (/.f64 -1/9 (+.f64 x 1/3))) 1))
(log1p.f64 (expm1.f64 (/.f64 -1/9 (+.f64 x 1/3))))
(+.f64 0 (*.f64 (+.f64 x 1/3) -9))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 (+.f64 x 1/3)) -9)) (cbrt.f64 (pow.f64 (exp.f64 (+.f64 x 1/3)) -9)))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (+.f64 x 1/3)) -9))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (+.f64 x 1/3)) -9))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (+.f64 x 1/3)) -9))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (+.f64 x 1/3) -9))) 1)
(*.f64 1 (*.f64 (+.f64 x 1/3) -9))
(*.f64 (+.f64 x 1/3) -9)
(*.f64 (*.f64 (+.f64 x 1/3) -9) 1)
(*.f64 (cbrt.f64 (*.f64 (+.f64 x 1/3) -9)) (pow.f64 (cbrt.f64 (*.f64 (+.f64 x 1/3) -9)) 2))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 (+.f64 x 1/3) -9)) 2) (cbrt.f64 (*.f64 (+.f64 x 1/3) -9)))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 x 1/3)) 2) (*.f64 (cbrt.f64 (+.f64 x 1/3)) -9))
(*.f64 (sqrt.f64 (*.f64 (+.f64 x 1/3) -9)) (sqrt.f64 (*.f64 (+.f64 x 1/3) -9)))
(*.f64 (sqrt.f64 (+.f64 x 1/3)) (*.f64 (sqrt.f64 (+.f64 x 1/3)) -9))
(*.f64 (+.f64 -1/3 (neg.f64 x)) 9)
(*.f64 -9 (+.f64 x 1/3))
(pow.f64 (*.f64 (+.f64 x 1/3) -9) 1)
(pow.f64 (cbrt.f64 (*.f64 (+.f64 x 1/3) -9)) 3)
(pow.f64 (pow.f64 (*.f64 (+.f64 x 1/3) -9) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 (+.f64 x 1/3) -9)) 2)
(pow.f64 (/.f64 -1/9 (+.f64 x 1/3)) -1)
(neg.f64 (/.f64 (+.f64 x 1/3) 1/9))
(sqrt.f64 (*.f64 (pow.f64 (+.f64 x 1/3) 2) 81))
(log.f64 (pow.f64 (exp.f64 (+.f64 x 1/3)) -9))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (+.f64 x 1/3) -9))))
(cbrt.f64 (pow.f64 (*.f64 (+.f64 x 1/3) -9) 3))
(expm1.f64 (log1p.f64 (*.f64 (+.f64 x 1/3) -9)))
(exp.f64 (log.f64 (*.f64 (+.f64 x 1/3) -9)))
(exp.f64 (*.f64 (log.f64 (*.f64 (+.f64 x 1/3) -9)) 1))
(log1p.f64 (expm1.f64 (*.f64 (+.f64 x 1/3) -9)))
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)
2/3
(+.f64 2/3 x)
(+.f64 x 2/3)
(+.f64 2/3 x)
(+.f64 x 2/3)
(+.f64 2/3 x)
(+.f64 x 2/3)
x
(+.f64 2/3 x)
(+.f64 x 2/3)
(+.f64 2/3 x)
(+.f64 x 2/3)
(+.f64 2/3 x)
(+.f64 x 2/3)
x
(+.f64 2/3 x)
(+.f64 x 2/3)
(+.f64 2/3 x)
(+.f64 x 2/3)
(+.f64 2/3 x)
(+.f64 x 2/3)
-1/3
(-.f64 x 1/3)
(+.f64 -1/3 x)
(-.f64 (+.f64 x (*.f64 -3 (pow.f64 x 2))) 1/3)
(+.f64 x (-.f64 (*.f64 -3 (pow.f64 x 2)) 1/3))
(+.f64 -1/3 (fma.f64 -3 (pow.f64 x 2) x))
(-.f64 (+.f64 x (+.f64 (*.f64 -3 (pow.f64 x 2)) (*.f64 9 (pow.f64 x 3)))) 1/3)
(+.f64 x (-.f64 (fma.f64 -3 (pow.f64 x 2) (*.f64 9 (pow.f64 x 3))) 1/3))
(+.f64 -1/3 (+.f64 x (fma.f64 -3 (pow.f64 x 2) (*.f64 9 (pow.f64 x 3)))))
(+.f64 (fma.f64 -3 (pow.f64 x 2) x) (fma.f64 9 (pow.f64 x 3) -1/3))
(/.f64 -1/9 x)
(-.f64 (*.f64 1/27 (/.f64 1 (pow.f64 x 2))) (*.f64 1/9 (/.f64 1 x)))
(-.f64 (/.f64 1/27 (pow.f64 x 2)) (/.f64 1/9 x))
(+.f64 (/.f64 1/27 (pow.f64 x 2)) (/.f64 -1/9 x))
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-3
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(-.f64 (*.f64 -9 x) 3)
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(-.f64 (*.f64 -9 x) 3)
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-1/3
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(log.f64 (+.f64 1 (expm1.f64 (+.f64 -1/3 x))))
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(log1p.f64 (expm1.f64 (+.f64 -1/3 x)))
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(fma.f64 1 x -1/3)
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(fma.f64 (pow.f64 (cbrt.f64 (+.f64 2/3 x)) 2) (cbrt.f64 (+.f64 2/3 x)) -1)
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(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) -1/3)
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(fma.f64 (sqrt.f64 (+.f64 2/3 x)) (sqrt.f64 (+.f64 2/3 x)) -1)
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(fma.f64 (sqrt.f64 (+.f64 2/3 x)) (*.f64 (sqrt.f64 (+.f64 2/3 x)) 1) -1)
(+.f64 -1/3 x)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) -1/3)
(+.f64 -1/3 x)
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(+.f64 (/.f64 (+.f64 (pow.f64 x 3) 8/27) (-.f64 (fma.f64 x x 4/9) (*.f64 x 2/3))) -1)
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(+.f64 -1 (/.f64 (+.f64 (pow.f64 x 3) 8/27) (+.f64 4/9 (*.f64 x (+.f64 x -2/3)))))
(fma.f64 (fma.f64 x x -4/9) (/.f64 1 (+.f64 x -2/3)) -1)
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(-.f64 (+.f64 x 5/3) 1)
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(-.f64 (/.f64 (pow.f64 x 2) (+.f64 x -2/3)) (/.f64 4/9 (+.f64 x -2/3)))
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(/.f64 (fma.f64 x x -4/9) (+.f64 x -2/3))
(*.f64 1 (+.f64 2/3 x))
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(-.f64 (/.f64 (pow.f64 x 2) (+.f64 x -2/3)) (/.f64 4/9 (+.f64 x -2/3)))
(+.f64 (/.f64 (pow.f64 x 2) (+.f64 x -2/3)) (/.f64 -4/9 (+.f64 x -2/3)))
(/.f64 (fma.f64 x x -4/9) (+.f64 x -2/3))
(pow.f64 (+.f64 2/3 x) 1)
(+.f64 x 2/3)
(pow.f64 (cbrt.f64 (+.f64 2/3 x)) 3)
(+.f64 x 2/3)
(pow.f64 (pow.f64 (+.f64 2/3 x) 3) 1/3)
(+.f64 x 2/3)
(pow.f64 (sqrt.f64 (+.f64 2/3 x)) 2)
(+.f64 x 2/3)
(sqrt.f64 (pow.f64 (+.f64 2/3 x) 2))
(+.f64 x 2/3)
(log.f64 (exp.f64 (+.f64 2/3 x)))
(+.f64 x 2/3)
(log.f64 (+.f64 1 (expm1.f64 (+.f64 2/3 x))))
(+.f64 x 2/3)
(cbrt.f64 (pow.f64 (+.f64 2/3 x) 3))
(+.f64 x 2/3)
(expm1.f64 (log.f64 (+.f64 x 5/3)))
(exp.f64 (log.f64 (+.f64 2/3 x)))
(+.f64 x 2/3)
(log1p.f64 (expm1.f64 (+.f64 2/3 x)))
(+.f64 x 2/3)
(fma.f64 1 x 2/3)
(+.f64 x 2/3)
(fma.f64 1 (+.f64 x 5/3) -1)
(+.f64 x 2/3)
(fma.f64 x 1 2/3)
(+.f64 x 2/3)
(fma.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) 2) 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)
(fma.f64 (+.f64 x 5/3) 1 -1)
(+.f64 x 2/3)
(fma.f64 (*.f64 (cbrt.f64 (+.f64 x 5/3)) (cbrt.f64 (+.f64 x 5/3))) (cbrt.f64 (+.f64 x 5/3)) -1)
(+.f64 x 2/3)
(fma.f64 (sqrt.f64 (+.f64 x 5/3)) (sqrt.f64 (+.f64 x 5/3)) -1)
(+.f64 x 2/3)
(+.f64 0 (/.f64 -1/9 (+.f64 x 1/3)))
(/.f64 -1/9 (+.f64 x 1/3))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (/.f64 -1/9 (+.f64 x 1/3)))) (cbrt.f64 (exp.f64 (/.f64 -1/9 (+.f64 x 1/3)))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 -1/9 (+.f64 x 1/3))))))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (exp.f64 (/.f64 -1/9 (+.f64 x 1/3)))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 -1/9 (+.f64 x 1/3))))))
(*.f64 3 (log.f64 (cbrt.f64 (exp.f64 (/.f64 -1/9 (+.f64 x 1/3))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 -1/9 (+.f64 x 1/3))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 -1/9 (+.f64 x 1/3))))))
(*.f64 2 (log.f64 (sqrt.f64 (exp.f64 (/.f64 -1/9 (+.f64 x 1/3))))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 -1/9 (+.f64 x 1/3)))) 1)
(/.f64 -1/9 (+.f64 x 1/3))
(*.f64 1 (/.f64 -1/9 (+.f64 x 1/3)))
(/.f64 -1/9 (+.f64 x 1/3))
(*.f64 -1/9 (/.f64 1 (+.f64 x 1/3)))
(/.f64 -1/9 (+.f64 x 1/3))
(*.f64 -1 (/.f64 1 (*.f64 (+.f64 x 1/3) 9)))
(/.f64 -1/9 (+.f64 x 1/3))
(*.f64 (cbrt.f64 (/.f64 -1/9 (+.f64 x 1/3))) (cbrt.f64 (pow.f64 (*.f64 (+.f64 x 1/3) -9) -2)))
(*.f64 (cbrt.f64 (/.f64 -1/9 (+.f64 x 1/3))) (cbrt.f64 (pow.f64 (fma.f64 -9 x -3) -2)))
(*.f64 (cbrt.f64 (/.f64 -1/9 (+.f64 x 1/3))) (cbrt.f64 (pow.f64 (fma.f64 x -9 -3) -2)))
(*.f64 (cbrt.f64 (pow.f64 (*.f64 (+.f64 x 1/3) -9) -2)) (cbrt.f64 (/.f64 -1/9 (+.f64 x 1/3))))
(*.f64 (cbrt.f64 (/.f64 -1/9 (+.f64 x 1/3))) (cbrt.f64 (pow.f64 (fma.f64 -9 x -3) -2)))
(*.f64 (cbrt.f64 (/.f64 -1/9 (+.f64 x 1/3))) (cbrt.f64 (pow.f64 (fma.f64 x -9 -3) -2)))
(*.f64 (sqrt.f64 (/.f64 -1/9 (+.f64 x 1/3))) (sqrt.f64 (/.f64 -1/9 (+.f64 x 1/3))))
(/.f64 -1/9 (+.f64 x 1/3))
(*.f64 (/.f64 -1/9 (+.f64 x 1/3)) 1)
(/.f64 -1/9 (+.f64 x 1/3))
(*.f64 (/.f64 1 (+.f64 x 1/3)) -1/9)
(/.f64 -1/9 (+.f64 x 1/3))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (*.f64 (+.f64 x 1/3) -9)) 2) -1) (pow.f64 (cbrt.f64 (*.f64 (+.f64 x 1/3) -9)) -1))
(/.f64 -1/9 (+.f64 x 1/3))
(*.f64 (pow.f64 (sqrt.f64 (*.f64 (+.f64 x 1/3) -9)) -1) (pow.f64 (sqrt.f64 (*.f64 (+.f64 x 1/3) -9)) -1))
(/.f64 -1/9 (+.f64 x 1/3))
(*.f64 (/.f64 1 (+.f64 -1/3 (neg.f64 x))) 1/9)
(/.f64 1/9 (-.f64 -1/3 x))
(*.f64 (/.f64 -1/9 (+.f64 (pow.f64 x 3) 1/27)) (-.f64 (fma.f64 x x 1/9) (*.f64 x 1/3)))
(*.f64 (/.f64 -1/9 (+.f64 (pow.f64 x 3) 1/27)) (+.f64 (*.f64 -1/3 x) (fma.f64 x x 1/9)))
(*.f64 (/.f64 -1/9 (fma.f64 x x -1/9)) (+.f64 -1/3 x))
(/.f64 (*.f64 -1/9 (+.f64 -1/3 x)) (fma.f64 x x -1/9))
(*.f64 (+.f64 -1/3 x) (/.f64 -1/9 (fma.f64 x x -1/9)))
(/.f64 -1/9 (/.f64 (fma.f64 x x -1/9) (+.f64 -1/3 x)))
(pow.f64 (*.f64 (+.f64 x 1/3) -9) -1)
(/.f64 -1/9 (+.f64 x 1/3))
(pow.f64 (cbrt.f64 (/.f64 -1/9 (+.f64 x 1/3))) 3)
(/.f64 -1/9 (+.f64 x 1/3))
(pow.f64 (pow.f64 (/.f64 -1/9 (+.f64 x 1/3)) 3) 1/3)
(/.f64 -1/9 (+.f64 x 1/3))
(pow.f64 (sqrt.f64 (/.f64 -1/9 (+.f64 x 1/3))) 2)
(/.f64 -1/9 (+.f64 x 1/3))
(pow.f64 (/.f64 -1/9 (+.f64 x 1/3)) 1)
(/.f64 -1/9 (+.f64 x 1/3))
(sqrt.f64 (pow.f64 (*.f64 (+.f64 x 1/3) -9) -2))
(/.f64 -1/9 (+.f64 x 1/3))
(log.f64 (exp.f64 (/.f64 -1/9 (+.f64 x 1/3))))
(/.f64 -1/9 (+.f64 x 1/3))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 -1/9 (+.f64 x 1/3)))))
(/.f64 -1/9 (+.f64 x 1/3))
(cbrt.f64 (pow.f64 (/.f64 -1/9 (+.f64 x 1/3)) 3))
(/.f64 -1/9 (+.f64 x 1/3))
(expm1.f64 (log1p.f64 (/.f64 -1/9 (+.f64 x 1/3))))
(/.f64 -1/9 (+.f64 x 1/3))
(exp.f64 (log.f64 (/.f64 -1/9 (+.f64 x 1/3))))
(/.f64 -1/9 (+.f64 x 1/3))
(exp.f64 (*.f64 (log.f64 (*.f64 (+.f64 x 1/3) -9)) -1))
(/.f64 -1/9 (+.f64 x 1/3))
(exp.f64 (*.f64 (log.f64 (/.f64 -1/9 (+.f64 x 1/3))) 1))
(/.f64 -1/9 (+.f64 x 1/3))
(log1p.f64 (expm1.f64 (/.f64 -1/9 (+.f64 x 1/3))))
(/.f64 -1/9 (+.f64 x 1/3))
(+.f64 0 (*.f64 (+.f64 x 1/3) -9))
(fma.f64 -9 x -3)
(fma.f64 x -9 -3)
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 (+.f64 x 1/3)) -9)) (cbrt.f64 (pow.f64 (exp.f64 (+.f64 x 1/3)) -9)))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (+.f64 x 1/3)) -9))))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (+.f64 x 1/3)) -9)))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (+.f64 x 1/3)) -9))))
(*.f64 3 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (+.f64 x 1/3)) -9))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (+.f64 x 1/3)) -9))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (+.f64 x 1/3)) -9))))
(fma.f64 -9 x -3)
(fma.f64 x -9 -3)
(-.f64 (exp.f64 (log1p.f64 (*.f64 (+.f64 x 1/3) -9))) 1)
(fma.f64 -9 x -3)
(fma.f64 x -9 -3)
(*.f64 1 (*.f64 (+.f64 x 1/3) -9))
(fma.f64 -9 x -3)
(fma.f64 x -9 -3)
(*.f64 (+.f64 x 1/3) -9)
(fma.f64 -9 x -3)
(fma.f64 x -9 -3)
(*.f64 (*.f64 (+.f64 x 1/3) -9) 1)
(fma.f64 -9 x -3)
(fma.f64 x -9 -3)
(*.f64 (cbrt.f64 (*.f64 (+.f64 x 1/3) -9)) (pow.f64 (cbrt.f64 (*.f64 (+.f64 x 1/3) -9)) 2))
(fma.f64 -9 x -3)
(fma.f64 x -9 -3)
(*.f64 (pow.f64 (cbrt.f64 (*.f64 (+.f64 x 1/3) -9)) 2) (cbrt.f64 (*.f64 (+.f64 x 1/3) -9)))
(fma.f64 -9 x -3)
(fma.f64 x -9 -3)
(*.f64 (pow.f64 (cbrt.f64 (+.f64 x 1/3)) 2) (*.f64 (cbrt.f64 (+.f64 x 1/3)) -9))
(fma.f64 -9 x -3)
(fma.f64 x -9 -3)
(*.f64 (sqrt.f64 (*.f64 (+.f64 x 1/3) -9)) (sqrt.f64 (*.f64 (+.f64 x 1/3) -9)))
(fma.f64 -9 x -3)
(fma.f64 x -9 -3)
(*.f64 (sqrt.f64 (+.f64 x 1/3)) (*.f64 (sqrt.f64 (+.f64 x 1/3)) -9))
(fma.f64 -9 x -3)
(fma.f64 x -9 -3)
(*.f64 (+.f64 -1/3 (neg.f64 x)) 9)
(*.f64 9 (-.f64 -1/3 x))
(*.f64 -9 (+.f64 x 1/3))
(fma.f64 -9 x -3)
(fma.f64 x -9 -3)
(pow.f64 (*.f64 (+.f64 x 1/3) -9) 1)
(fma.f64 -9 x -3)
(fma.f64 x -9 -3)
(pow.f64 (cbrt.f64 (*.f64 (+.f64 x 1/3) -9)) 3)
(fma.f64 -9 x -3)
(fma.f64 x -9 -3)
(pow.f64 (pow.f64 (*.f64 (+.f64 x 1/3) -9) 3) 1/3)
(fma.f64 -9 x -3)
(fma.f64 x -9 -3)
(pow.f64 (sqrt.f64 (*.f64 (+.f64 x 1/3) -9)) 2)
(fma.f64 -9 x -3)
(fma.f64 x -9 -3)
(pow.f64 (/.f64 -1/9 (+.f64 x 1/3)) -1)
(fma.f64 -9 x -3)
(fma.f64 x -9 -3)
(neg.f64 (/.f64 (+.f64 x 1/3) 1/9))
(/.f64 (neg.f64 (+.f64 x 1/3)) 1/9)
(/.f64 (-.f64 -1/3 x) 1/9)
(-.f64 -3 (/.f64 x 1/9))
(sqrt.f64 (*.f64 (pow.f64 (+.f64 x 1/3) 2) 81))
(sqrt.f64 (pow.f64 (fma.f64 x -9 -3) 2))
(fabs.f64 (fma.f64 x -9 -3))
(log.f64 (pow.f64 (exp.f64 (+.f64 x 1/3)) -9))
(fma.f64 -9 x -3)
(fma.f64 x -9 -3)
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (+.f64 x 1/3) -9))))
(fma.f64 -9 x -3)
(fma.f64 x -9 -3)
(cbrt.f64 (pow.f64 (*.f64 (+.f64 x 1/3) -9) 3))
(fma.f64 -9 x -3)
(fma.f64 x -9 -3)
(expm1.f64 (log1p.f64 (*.f64 (+.f64 x 1/3) -9)))
(fma.f64 -9 x -3)
(fma.f64 x -9 -3)
(exp.f64 (log.f64 (*.f64 (+.f64 x 1/3) -9)))
(fma.f64 -9 x -3)
(fma.f64 x -9 -3)
(exp.f64 (*.f64 (log.f64 (*.f64 (+.f64 x 1/3) -9)) 1))
(fma.f64 -9 x -3)
(fma.f64 x -9 -3)
(log1p.f64 (expm1.f64 (*.f64 (+.f64 x 1/3) -9)))
(fma.f64 -9 x -3)
(fma.f64 x -9 -3)

eval84.0ms (2.6%)

Compiler

Compiled 3142 to 2580 computations (17.9% saved)

prune36.0ms (1.1%)

Pruning

6 alts after pruning (2 fresh and 4 done)

PrunedKeptTotal
New2770277
Fresh022
Picked033
Done011
Total2776283
Accuracy
100.0%
Counts
283 → 6
Alt Table
Click to see full alt table
StatusAccuracyProgram
46.5%
(/.f64 1 (/.f64 (+.f64 x 1/3) -1/9))
99.3%
(-.f64 (+.f64 x 2/3) 1)
46.5%
(-.f64 2/3 1)
100.0%
(+.f64 x -1/3)
54.9%
x
47.1%
-1/3
46.5%
(/.f64 1 (/.f64 (+.f64 x 1/3) -1/9))
99.3%
(-.f64 (+.f64 x 2/3) 1)
46.5%
(-.f64 2/3 1)
100.0%
(+.f64 x -1/3)
54.9%
x
47.1%
-1/3
Compiler

Compiled 52 to 44 computations (15.4% saved)

localize0.0ms (0%)

eval0.0ms (0%)

Compiler

Compiled 1 to 1 computations (0% saved)

prune4.0ms (0.1%)

Pruning

6 alts after pruning (2 fresh and 4 done)

PrunedKeptTotal
New000
Fresh022
Picked000
Done044
Total066
Accuracy
100.0%
Counts
6 → 6
Alt Table
Click to see full alt table
StatusAccuracyProgram
46.5%
(/.f64 1 (/.f64 (+.f64 x 1/3) -1/9))
99.3%
(-.f64 (+.f64 x 2/3) 1)
46.5%
(-.f64 2/3 1)
100.0%
(+.f64 x -1/3)
54.9%
x
47.1%
-1/3
Compiler

Compiled 82 to 66 computations (19.5% saved)

regimes16.0ms (0.5%)

Counts
10 → 1
Calls
Call 1
Inputs
-1/3
x
(+.f64 x -1/3)
(-.f64 2/3 1)
(-.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) -1/9))
(/.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 x (-.f64 x -1/3))))
Outputs
(+.f64 x -1/3)
Calls

2 calls:

6.0ms
x
4.0ms
(-.f64 x (/.f64 1 3))
Results
AccuracySegmentsBranch
100.0%1x
100.0%1(-.f64 x (/.f64 1 3))
Compiler

Compiled 64 to 50 computations (21.9% saved)

regimes10.0ms (0.3%)

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

1 calls:

9.0ms
x
Results
AccuracySegmentsBranch
98.8%3x
Compiler

Compiled 5 to 3 computations (40% saved)

regimes3.0ms (0.1%)

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

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

1 calls:

3.0ms
x
Results
AccuracySegmentsBranch
47.1%1x
Compiler

Compiled 4 to 3 computations (25% saved)

bsearch37.0ms (1.1%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
22.0ms
7.583383836625039e-10
428577263.67934453
15.0ms
-0.37281108797095747
-1.691410599874846e-15
Results
33.0ms320×body256valid
Compiler

Compiled 130 to 108 computations (16.9% saved)

simplify4.0ms (0.1%)

Algorithm
egg-herbie
Rules
+-commutative
if-if-or-not
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01644
12244
Stop Event
fuel
saturated
Calls
Call 1
Inputs
(+.f64 x -1/3)
(if (<=.f64 x -5944751508129055/18014398509481984) x (if (<=.f64 x 6124895493223875/18014398509481984) -1/3 x))
-1/3
Outputs
(+.f64 x -1/3)
(if (<=.f64 x -5944751508129055/18014398509481984) x (if (<=.f64 x 6124895493223875/18014398509481984) -1/3 x))
-1/3
Compiler

Compiled 18 to 13 computations (27.8% saved)

soundness20.0ms (0.6%)

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
saturated
Compiler

Compiled 19 to 15 computations (21.1% saved)

end0.0ms (0%)

preprocess31.0ms (0.9%)

Compiler

Compiled 44 to 32 computations (27.3% saved)

Profiling

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