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

analyze0.0ms (0%)

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
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)

sample1.1s (43.9%)

Results

1.1s

8256×

body

256

valid

Bogosity

preprocess302.0ms (11.8%)

Algorithm

1×	egg-herbie

Rules

74×	`fma-def`
18×	`distribute-lft-neg-in`
16×	`associate--r+`
16×	`sub-neg`
14×	`associate-+l-`

FPErrors

Click to see full error table

truth	ex	ex	subexpr
256	-	-	`#f`
0	-	-	`x`
0	-	-	`(+.f64 x (/.f64 1 3))`
0	-	-	`3`
0	-	-	`1`
0	-	-	`(/.f64 1 3)`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	14	52
1	30	40
2	54	40
3	95	40
4	135	40
5	163	40
6	173	40
7	181	40
8	186	40
9	187	40

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 1/3 (neg.f64 x))
(-.f64 1/3 x)
(neg.f64 (+.f64 (neg.f64 x) (/.f64 1 3)))
(+.f64 (neg.f64 (neg.f64 x)) -1/3)
(+.f64 x -1/3)

Compiler

Compiled 32 to 27 computations (15.6% saved)

eval0.0ms (0%)

Compiler: Compiled 4 to 3 computations (25% saved)

prune1.0ms (0%)

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(+.f64 x 1/3)
▶	100.0%	(+.f64 x 1/3)

Compiler

Compiled 8 to 6 computations (25% saved)

localize17.0ms (0.7%)

Localize:

Found 1 expressions with local error:

New	Accuracy	Program
✓	100.0%	(+.f64 x 1/3)

Compiler

Compiled 7 to 5 computations (28.6% saved)

series1.0ms (0%)

Counts

1 → 12

Calls

3 calls:

Time	Variable		Point	Expression
0.0ms	x	@	inf	(+.f64 x 1/3)
0.0ms	x	@	0	(+.f64 x 1/3)
0.0ms	x	@	-inf	(+.f64 x 1/3)

rewrite324.0ms (12.7%)

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)

Iter	Nodes	Cost
0	7	10
1	60	10
2	748	10

Stop Event

1×	node limit

Counts

1 → 85

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 (/.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 (sqrt.f64 (fma.f64 x x -1/9)) 1) (/.f64 (sqrt.f64 (fma.f64 x x -1/9)) (+.f64 x -1/3)))
(*.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 1 (pow.f64 (cbrt.f64 (-.f64 (fma.f64 x x 1/9) (.f64 x 1/3))) 2)) (/.f64 (+.f64 (pow.f64 x 3) 1/27) (cbrt.f64 (-.f64 (fma.f64 x x 1/9) (*.f64 x 1/3)))))
(.f64 (/.f64 1 (hypot.f64 x (sqrt.f64 (-.f64 1/9 (.f64 x 1/3))))) (/.f64 (+.f64 (pow.f64 x 3) 1/27) (hypot.f64 x (sqrt.f64 (-.f64 1/9 (*.f64 x 1/3))))))
(.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)) (-.f64 (fma.f64 x x 1/9) (.f64 x 1/3))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 (pow.f64 x 3) 1/27)) 2) (hypot.f64 x (sqrt.f64 (-.f64 1/9 (.f64 x 1/3))))) (/.f64 (cbrt.f64 (+.f64 (pow.f64 x 3) 1/27)) (hypot.f64 x (sqrt.f64 (-.f64 1/9 (*.f64 x 1/3))))))
(.f64 (/.f64 (sqrt.f64 (+.f64 (pow.f64 x 3) 1/27)) 1) (/.f64 (sqrt.f64 (+.f64 (pow.f64 x 3) 1/27)) (-.f64 (fma.f64 x x 1/9) (.f64 x 1/3))))
(.f64 (/.f64 (sqrt.f64 (+.f64 (pow.f64 x 3) 1/27)) (pow.f64 (cbrt.f64 (-.f64 (fma.f64 x x 1/9) (.f64 x 1/3))) 2)) (/.f64 (sqrt.f64 (+.f64 (pow.f64 x 3) 1/27)) (cbrt.f64 (-.f64 (fma.f64 x x 1/9) (*.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)) (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 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)

simplify85.0ms (3.3%)

Algorithm

1×	egg-herbie

Rules

1556×	`times-frac`
1000×	`fma-def`
916×	`associate-/r*`
826×	`unswap-sqr`
408×	`div-sub`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	275	3757
1	699	3533
2	2513	3137

Stop Event

1×	node limit

Counts

97 → 133

Calls

Call 1

Inputs
1/3
(+.f64 1/3 x)
(+.f64 1/3 x)
(+.f64 1/3 x)
x
(+.f64 1/3 x)
(+.f64 1/3 x)
(+.f64 1/3 x)
x
(+.f64 1/3 x)
(+.f64 1/3 x)
(+.f64 1/3 x)
(-.f64 (+.f64 1 (+.f64 x 1/3)) 1)
(-.f64 (/.f64 (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 (/.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 (sqrt.f64 (fma.f64 x x -1/9)) 1) (/.f64 (sqrt.f64 (fma.f64 x x -1/9)) (+.f64 x -1/3)))
(*.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 1 (pow.f64 (cbrt.f64 (-.f64 (fma.f64 x x 1/9) (.f64 x 1/3))) 2)) (/.f64 (+.f64 (pow.f64 x 3) 1/27) (cbrt.f64 (-.f64 (fma.f64 x x 1/9) (*.f64 x 1/3)))))
(.f64 (/.f64 1 (hypot.f64 x (sqrt.f64 (-.f64 1/9 (.f64 x 1/3))))) (/.f64 (+.f64 (pow.f64 x 3) 1/27) (hypot.f64 x (sqrt.f64 (-.f64 1/9 (*.f64 x 1/3))))))
(.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)) (-.f64 (fma.f64 x x 1/9) (.f64 x 1/3))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 (pow.f64 x 3) 1/27)) 2) (hypot.f64 x (sqrt.f64 (-.f64 1/9 (.f64 x 1/3))))) (/.f64 (cbrt.f64 (+.f64 (pow.f64 x 3) 1/27)) (hypot.f64 x (sqrt.f64 (-.f64 1/9 (*.f64 x 1/3))))))
(.f64 (/.f64 (sqrt.f64 (+.f64 (pow.f64 x 3) 1/27)) 1) (/.f64 (sqrt.f64 (+.f64 (pow.f64 x 3) 1/27)) (-.f64 (fma.f64 x x 1/9) (.f64 x 1/3))))
(.f64 (/.f64 (sqrt.f64 (+.f64 (pow.f64 x 3) 1/27)) (pow.f64 (cbrt.f64 (-.f64 (fma.f64 x x 1/9) (.f64 x 1/3))) 2)) (/.f64 (sqrt.f64 (+.f64 (pow.f64 x 3) 1/27)) (cbrt.f64 (-.f64 (fma.f64 x x 1/9) (*.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)) (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 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 1/3 x)
(+.f64 1/3 x)
(+.f64 1/3 x)
x
(+.f64 1/3 x)
(+.f64 1/3 x)
(+.f64 1/3 x)
x
(+.f64 1/3 x)
(+.f64 1/3 x)
(+.f64 1/3 x)
(-.f64 (+.f64 1 (+.f64 x 1/3)) 1)
(+.f64 1/3 x)
(-.f64 (/.f64 (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 -1/27 (pow.f64 x 3)) (-.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 (/.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 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 (sqrt.f64 (fma.f64 x x -1/9)) 1) (/.f64 (sqrt.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 (fma.f64 x x -1/9) (+.f64 x -1/3))
(*.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 (fma.f64 x x -1/9) (pow.f64 (cbrt.f64 (+.f64 x -1/3)) 2)) (cbrt.f64 (+.f64 x -1/3)))
(/.f64 (/.f64 (fma.f64 x x -1/9) (cbrt.f64 (+.f64 x -1/3))) (pow.f64 (cbrt.f64 (+.f64 x -1/3)) 2))
(*.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 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 (pow.f64 (cbrt.f64 (-.f64 (fma.f64 x x 1/9) (.f64 x 1/3))) 2)) (/.f64 (+.f64 (pow.f64 x 3) 1/27) (cbrt.f64 (-.f64 (fma.f64 x x 1/9) (*.f64 x 1/3)))))
(.f64 (/.f64 1 (pow.f64 (cbrt.f64 (-.f64 (fma.f64 x x 1/9) (.f64 1/3 x))) 2)) (/.f64 (+.f64 (pow.f64 x 3) 1/27) (cbrt.f64 (-.f64 (fma.f64 x x 1/9) (*.f64 1/3 x)))))
(/.f64 (/.f64 (+.f64 (pow.f64 x 3) 1/27) (cbrt.f64 (+.f64 1/9 (.f64 x (-.f64 x 1/3))))) (pow.f64 (cbrt.f64 (+.f64 1/9 (.f64 x (-.f64 x 1/3)))) 2))
(/.f64 (/.f64 (+.f64 (pow.f64 x 3) 1/27) (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 (/.f64 1 (hypot.f64 x (sqrt.f64 (-.f64 1/9 (.f64 x 1/3))))) (/.f64 (+.f64 (pow.f64 x 3) 1/27) (hypot.f64 x (sqrt.f64 (-.f64 1/9 (*.f64 x 1/3))))))
(.f64 (/.f64 1 (hypot.f64 x (sqrt.f64 (-.f64 1/9 (.f64 1/3 x))))) (/.f64 (+.f64 (pow.f64 x 3) 1/27) (hypot.f64 x (sqrt.f64 (-.f64 1/9 (*.f64 1/3 x))))))
(/.f64 (/.f64 (+.f64 (pow.f64 x 3) 1/27) (hypot.f64 x (sqrt.f64 (+.f64 1/9 (.f64 x -1/3))))) (hypot.f64 x (sqrt.f64 (+.f64 1/9 (.f64 x -1/3)))))
(/.f64 (/.f64 (+.f64 (pow.f64 x 3) 1/27) (hypot.f64 x (sqrt.f64 (fma.f64 x -1/3 1/9)))) (hypot.f64 x (sqrt.f64 (fma.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)) (-.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 -1/27 (pow.f64 x 3)) (-.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 (cbrt.f64 (+.f64 (pow.f64 x 3) 1/27)) 2) (hypot.f64 x (sqrt.f64 (-.f64 1/9 (.f64 x 1/3))))) (/.f64 (cbrt.f64 (+.f64 (pow.f64 x 3) 1/27)) (hypot.f64 x (sqrt.f64 (-.f64 1/9 (*.f64 x 1/3))))))
(.f64 (/.f64 1 (hypot.f64 x (sqrt.f64 (-.f64 1/9 (.f64 1/3 x))))) (/.f64 (+.f64 (pow.f64 x 3) 1/27) (hypot.f64 x (sqrt.f64 (-.f64 1/9 (*.f64 1/3 x))))))
(/.f64 (/.f64 (+.f64 (pow.f64 x 3) 1/27) (hypot.f64 x (sqrt.f64 (+.f64 1/9 (.f64 x -1/3))))) (hypot.f64 x (sqrt.f64 (+.f64 1/9 (.f64 x -1/3)))))
(/.f64 (/.f64 (+.f64 (pow.f64 x 3) 1/27) (hypot.f64 x (sqrt.f64 (fma.f64 x -1/3 1/9)))) (hypot.f64 x (sqrt.f64 (fma.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)) (-.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 -1/27 (pow.f64 x 3)) (-.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 (sqrt.f64 (+.f64 (pow.f64 x 3) 1/27)) (pow.f64 (cbrt.f64 (-.f64 (fma.f64 x x 1/9) (.f64 x 1/3))) 2)) (/.f64 (sqrt.f64 (+.f64 (pow.f64 x 3) 1/27)) (cbrt.f64 (-.f64 (fma.f64 x x 1/9) (*.f64 x 1/3)))))
(.f64 (/.f64 1 (pow.f64 (cbrt.f64 (-.f64 (fma.f64 x x 1/9) (.f64 1/3 x))) 2)) (/.f64 (+.f64 (pow.f64 x 3) 1/27) (cbrt.f64 (-.f64 (fma.f64 x x 1/9) (*.f64 1/3 x)))))
(/.f64 (/.f64 (+.f64 (pow.f64 x 3) 1/27) (cbrt.f64 (+.f64 1/9 (.f64 x (-.f64 x 1/3))))) (pow.f64 (cbrt.f64 (+.f64 1/9 (.f64 x (-.f64 x 1/3)))) 2))
(/.f64 (/.f64 (+.f64 (pow.f64 x 3) 1/27) (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 (/.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 (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 (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 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 (fma.f64 x x -1/9) (pow.f64 (cbrt.f64 (+.f64 x -1/3)) 2)) (cbrt.f64 (+.f64 x -1/3)))
(/.f64 (/.f64 (fma.f64 x x -1/9) (cbrt.f64 (+.f64 x -1/3))) (pow.f64 (cbrt.f64 (+.f64 x -1/3)) 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 -1/27 (pow.f64 x 3)) (-.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 -1/27 (pow.f64 x 3)) (-.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 -1/27 (pow.f64 x 3)) (-.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 -1/27 (pow.f64 x 3)) (-.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 -1/27 (pow.f64 x 3)) (-.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 -1/27 (pow.f64 x 3)) (-.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 -1/9 (*.f64 x (-.f64 x 1/3))) (-.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) (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 -1/9 (*.f64 x (-.f64 x 1/3))) (-.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) (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 (.f64 (sqrt.f64 (fma.f64 x x -1/9)) (sqrt.f64 (+.f64 (pow.f64 x 3) 1/27))) (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 (fma.f64 x -1/3 1/9)))) (/.f64 (sqrt.f64 (fma.f64 x x -1/9)) (sqrt.f64 (+.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 (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 (.f64 (sqrt.f64 (fma.f64 x x -1/9)) (sqrt.f64 (+.f64 (pow.f64 x 3) 1/27))) (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 (fma.f64 x -1/3 1/9)))) (/.f64 (sqrt.f64 (fma.f64 x x -1/9)) (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 (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 1/729 (+.f64 (.f64 (pow.f64 x 3) -1/27) (pow.f64 x 6)))) (+.f64 1/9 (.f64 x (-.f64 x 1/3))))
(/.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 (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 -1/27 (pow.f64 x 3)) (-.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 -1/27 (pow.f64 x 3)) (-.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)

eval45.0ms (1.8%)

Compiler: Compiled 2029 to 1577 computations (22.3% saved)

prune86.0ms (3.4%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	130	3	133
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	130	4	134

Accuracy

100.0%

Counts

134 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(+.f64 x 1/3)
▶	53.8%	(log.f64 (exp.f64 (+.f64 x 1/3)))
	50.4%	x
	51.7%	1/3
✓	100.0%	(+.f64 x 1/3)
▶	53.8%	(log.f64 (exp.f64 (+.f64 x 1/3)))
	50.4%	x
	51.7%	1/3

Compiler

Compiled 28 to 22 computations (21.4% saved)

localize122.0ms (4.8%)

Localize:

Found 3 expressions with local error:

New	Accuracy	Program
	100.0%	(+.f64 x 1/3)
✓	100.0%	(exp.f64 (+.f64 x 1/3))
✓	99.2%	(log.f64 (exp.f64 (+.f64 x 1/3)))

Compiler

Compiled 16 to 12 computations (25% saved)

series1.0ms (0%)

Counts

2 → 24

Calls

6 calls:

Time	Variable		Point	Expression
0.0ms	x	@	0	(exp.f64 (+.f64 x 1/3))
0.0ms	x	@	-inf	(exp.f64 (+.f64 x 1/3))
0.0ms	x	@	inf	(exp.f64 (+.f64 x 1/3))
0.0ms	x	@	0	(log.f64 (exp.f64 (+.f64 x 1/3)))
0.0ms	x	@	-inf	(log.f64 (exp.f64 (+.f64 x 1/3)))

rewrite73.0ms (2.9%)

Algorithm

1×	batch-egg-rewrite

Rules

454×	`unpow-prod-down`
356×	`log1p-expm1-u`
356×	`expm1-log1p-u`
334×	`add-exp-log`
328×	`log-prod`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	24
1	83	24
2	958	24

Stop Event

1×	node limit

Counts

2 → 127

Calls

Call 1

Inputs
(log.f64 (exp.f64 (+.f64 x 1/3)))
(exp.f64 (+.f64 x 1/3))

Outputs
(+.f64 x 1/3)
(+.f64 1/3 x)
(+.f64 (+.f64 x 1/3) 0)
(+.f64 0 (+.f64 x 1/3))
(+.f64 (.f64 2 (.f64 1/3 (+.f64 x 1/3))) (*.f64 1/3 (+.f64 x 1/3)))
(+.f64 (.f64 1/3 (+.f64 x 1/3)) (.f64 2 (*.f64 1/3 (+.f64 x 1/3))))
(+.f64 (.f64 1/2 (+.f64 x 1/3)) (.f64 1/2 (+.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 1/3 (.f64 3 (+.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 (cbrt.f64 (+.f64 x 1/3)) (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 x 1/3)) 4)))
(*.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 3 (.f64 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 (fma.f64 x x -1/9) (/.f64 1 (+.f64 x -1/3)))
(.f64 2 (.f64 1/2 (+.f64 x 1/3)))
(*.f64 (sqrt.f64 (sqrt.f64 (+.f64 x 1/3))) (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) (sqrt.f64 (cbrt.f64 (+.f64 x 1/3))))
(.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)) (sqrt.f64 (cbrt.f64 (+.f64 x 1/3))))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 x 1/3)) 4)) (cbrt.f64 (+.f64 x 1/3)))
(*.f64 (sqrt.f64 (pow.f64 (+.f64 x 1/3) 3/2)) (sqrt.f64 (sqrt.f64 (+.f64 x 1/3))))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 x 1/3)) 5)) (sqrt.f64 (cbrt.f64 (+.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 (+.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 (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 (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 (pow.f64 (fma.f64 x x -1/9) 2)) (sqrt.f64 (pow.f64 (+.f64 x -1/3) 2)))
(/.f64 (sqrt.f64 (pow.f64 (+.f64 (pow.f64 x 3) 1/27) 2)) (sqrt.f64 (pow.f64 (-.f64 (fma.f64 x x 1/9) (*.f64 x 1/3)) 2)))
(/.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)))
(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))
(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 (log.f64 (pow.f64 (+.f64 x 1/3) 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)
(+.f64 1 (expm1.f64 (+.f64 x 1/3)))
(+.f64 0 (exp.f64 (+.f64 x 1/3)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (exp.f64 (+.f64 x 1/3)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (exp.f64 (+.f64 x 1/3))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (exp.f64 (+.f64 x 1/3))))) (log.f64 (sqrt.f64 (exp.f64 (exp.f64 (+.f64 x 1/3))))))
(-.f64 (+.f64 1 (exp.f64 (+.f64 x 1/3))) 1)
(*.f64 (exp.f64 (+.f64 x 1/3)) 1)
(*.f64 (exp.f64 (+.f64 x 1/3)) (log.f64 (E.f64)))
(*.f64 1 (exp.f64 (+.f64 x 1/3)))
(*.f64 (exp.f64 x) (exp.f64 1/3))
(*.f64 (exp.f64 x) (pow.f64 (E.f64) 1/3))
(*.f64 (exp.f64 1/3) (exp.f64 x))
(*.f64 (cbrt.f64 (exp.f64 (+.f64 x 1/3))) (pow.f64 (cbrt.f64 (exp.f64 (+.f64 x 1/3))) 2))
(*.f64 (cbrt.f64 (exp.f64 (+.f64 x 1/3))) (sqrt.f64 (pow.f64 (cbrt.f64 (exp.f64 (+.f64 x 1/3))) 4)))
(*.f64 (pow.f64 (cbrt.f64 (exp.f64 (+.f64 x 1/3))) 2) (cbrt.f64 (exp.f64 (+.f64 x 1/3))))
(*.f64 (sqrt.f64 (exp.f64 (+.f64 x 1/3))) (sqrt.f64 (exp.f64 (+.f64 x 1/3))))
(*.f64 (sqrt.f64 (exp.f64 x)) (sqrt.f64 (exp.f64 (+.f64 1/3 (+.f64 x 1/3)))))
(*.f64 (sqrt.f64 (sqrt.f64 (exp.f64 (+.f64 x 1/3)))) (sqrt.f64 (pow.f64 (exp.f64 (+.f64 x 1/3)) 3/2)))
(*.f64 (pow.f64 (E.f64) 1/3) (exp.f64 x))
(.f64 (pow.f64 (E.f64) (.f64 2 (*.f64 1/3 (+.f64 x 1/3)))) (cbrt.f64 (exp.f64 (+.f64 x 1/3))))
(.f64 (pow.f64 (E.f64) (.f64 1/2 (+.f64 x 1/3))) (pow.f64 (E.f64) (*.f64 1/2 (+.f64 x 1/3))))
(*.f64 (pow.f64 1 1/3) (exp.f64 (+.f64 x 1/3)))
(.f64 (pow.f64 (exp.f64 (+.f64 (.f64 2 (+.f64 x 1/3)) x)) 1/3) (cbrt.f64 (exp.f64 1/3)))
(.f64 (pow.f64 (pow.f64 (.f64 (exp.f64 (+.f64 x 1/3)) (cbrt.f64 (exp.f64 (+.f64 x 1/3)))) 2) 1/3) (cbrt.f64 (cbrt.f64 (exp.f64 (+.f64 x 1/3)))))
(*.f64 (pow.f64 (pow.f64 (exp.f64 (+.f64 x 1/3)) 5/2) 1/3) (sqrt.f64 (cbrt.f64 (exp.f64 (+.f64 x 1/3)))))
(.f64 (cbrt.f64 (exp.f64 (+.f64 (.f64 2 (+.f64 x 1/3)) x))) (cbrt.f64 (exp.f64 1/3)))
(.f64 (cbrt.f64 (pow.f64 (.f64 (exp.f64 (+.f64 x 1/3)) (cbrt.f64 (exp.f64 (+.f64 x 1/3)))) 2)) (cbrt.f64 (cbrt.f64 (exp.f64 (+.f64 x 1/3)))))
(*.f64 (cbrt.f64 (pow.f64 (exp.f64 (+.f64 x 1/3)) 5/2)) (sqrt.f64 (cbrt.f64 (exp.f64 (+.f64 x 1/3)))))
(*.f64 (sqrt.f64 (pow.f64 (exp.f64 (+.f64 x 1/3)) 3/2)) (sqrt.f64 (sqrt.f64 (exp.f64 (+.f64 x 1/3)))))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (exp.f64 (+.f64 x 1/3))) 4)) (cbrt.f64 (exp.f64 (+.f64 x 1/3))))
(*.f64 (sqrt.f64 (pow.f64 (exp.f64 x) 2)) (sqrt.f64 (exp.f64 2/3)))
(*.f64 (sqrt.f64 (exp.f64 (+.f64 (+.f64 x 1/3) x))) (sqrt.f64 (exp.f64 1/3)))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (exp.f64 (+.f64 x 1/3))) 5)) (sqrt.f64 (cbrt.f64 (exp.f64 (+.f64 x 1/3)))))
(/.f64 (pow.f64 (E.f64) (+.f64 1 (+.f64 x 1/3))) (E.f64))
(/.f64 (pow.f64 (E.f64) (/.f64 (pow.f64 x 2) (+.f64 x -1/3))) (pow.f64 (E.f64) (/.f64 1/9 (+.f64 x -1/3))))
(/.f64 (exp.f64 (+.f64 1 (+.f64 x 1/3))) (E.f64))
(/.f64 (exp.f64 (/.f64 (pow.f64 x 2) (+.f64 x -1/3))) (exp.f64 (/.f64 1/9 (+.f64 x -1/3))))
(pow.f64 (exp.f64 (+.f64 x 1/3)) 1)
(pow.f64 (cbrt.f64 (exp.f64 (+.f64 x 1/3))) 3)
(pow.f64 (pow.f64 (exp.f64 (+.f64 x 1/3)) 2) 1/2)
(pow.f64 (pow.f64 (exp.f64 (+.f64 x 1/3)) 3) 1/3)
(pow.f64 (sqrt.f64 (exp.f64 (+.f64 x 1/3))) 2)
(pow.f64 (E.f64) (+.f64 x 1/3))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (+.f64 x 1/3)) 2)) (cbrt.f64 (+.f64 x 1/3)))
(pow.f64 (exp.f64 (sqrt.f64 (+.f64 x 1/3))) (sqrt.f64 (+.f64 x 1/3)))
(pow.f64 (exp.f64 (cbrt.f64 (+.f64 x 1/3))) (pow.f64 (cbrt.f64 (+.f64 x 1/3)) 2))
(pow.f64 (exp.f64 (fma.f64 x x -1/9)) (/.f64 1 (+.f64 x -1/3)))
(pow.f64 (exp.f64 (+.f64 (pow.f64 x 3) 1/27)) (/.f64 1 (-.f64 (fma.f64 x x 1/9) (*.f64 x 1/3))))
(pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (+.f64 x 1/3)) 2)) (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 x 1/3))) 2)) (cbrt.f64 (cbrt.f64 (+.f64 x 1/3))))
(pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (+.f64 x 1/3)) 2)) (sqrt.f64 (cbrt.f64 (+.f64 x 1/3)))) (sqrt.f64 (cbrt.f64 (+.f64 x 1/3))))
(pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (+.f64 x 1/3))) (cbrt.f64 (+.f64 x 1/3))) (sqrt.f64 (cbrt.f64 (+.f64 x 1/3))))
(pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (+.f64 x 1/3))) (sqrt.f64 (sqrt.f64 (+.f64 x 1/3)))) (sqrt.f64 (sqrt.f64 (+.f64 x 1/3))))
(sqrt.f64 (pow.f64 (exp.f64 (+.f64 x 1/3)) 2))
(log.f64 (exp.f64 (exp.f64 (+.f64 x 1/3))))
(cbrt.f64 (pow.f64 (exp.f64 (+.f64 x 1/3)) 3))
(expm1.f64 (log1p.f64 (exp.f64 (+.f64 x 1/3))))
(log1p.f64 (expm1.f64 (exp.f64 (+.f64 x 1/3))))

simplify97.0ms (3.8%)

Algorithm

1×	egg-herbie

Rules

652×	`distribute-lft-out`
504×	`sqr-pow`
484×	`associate-r`
474×	`associate-/l*`
458×	`log-prod`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	338	4205
1	762	4009
2	3042	3760

Stop Event

1×	node limit

Counts

151 → 201

Calls

Call 1

Inputs
1/3
(+.f64 1/3 x)
(+.f64 1/3 x)
(+.f64 1/3 x)
x
(+.f64 1/3 x)
(+.f64 1/3 x)
(+.f64 1/3 x)
x
(+.f64 1/3 x)
(+.f64 1/3 x)
(+.f64 1/3 x)
(exp.f64 1/3)
(+.f64 (exp.f64 1/3) (*.f64 x (exp.f64 1/3)))
(+.f64 (exp.f64 1/3) (+.f64 (.f64 1/2 (.f64 (pow.f64 x 2) (exp.f64 1/3))) (*.f64 x (exp.f64 1/3))))
(+.f64 (exp.f64 1/3) (+.f64 (.f64 1/6 (.f64 (pow.f64 x 3) (exp.f64 1/3))) (+.f64 (.f64 1/2 (.f64 (pow.f64 x 2) (exp.f64 1/3))) (*.f64 x (exp.f64 1/3)))))
(exp.f64 (+.f64 1/3 x))
(exp.f64 (+.f64 1/3 x))
(exp.f64 (+.f64 1/3 x))
(exp.f64 (+.f64 1/3 x))
(exp.f64 (-.f64 1/3 (*.f64 -1 x)))
(exp.f64 (-.f64 1/3 (*.f64 -1 x)))
(exp.f64 (-.f64 1/3 (*.f64 -1 x)))
(exp.f64 (-.f64 1/3 (*.f64 -1 x)))
(+.f64 x 1/3)
(+.f64 1/3 x)
(+.f64 (+.f64 x 1/3) 0)
(+.f64 0 (+.f64 x 1/3))
(+.f64 (.f64 2 (.f64 1/3 (+.f64 x 1/3))) (*.f64 1/3 (+.f64 x 1/3)))
(+.f64 (.f64 1/3 (+.f64 x 1/3)) (.f64 2 (*.f64 1/3 (+.f64 x 1/3))))
(+.f64 (.f64 1/2 (+.f64 x 1/3)) (.f64 1/2 (+.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 1/3 (.f64 3 (+.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 (cbrt.f64 (+.f64 x 1/3)) (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 x 1/3)) 4)))
(*.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 3 (.f64 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 (fma.f64 x x -1/9) (/.f64 1 (+.f64 x -1/3)))
(.f64 2 (.f64 1/2 (+.f64 x 1/3)))
(*.f64 (sqrt.f64 (sqrt.f64 (+.f64 x 1/3))) (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) (sqrt.f64 (cbrt.f64 (+.f64 x 1/3))))
(.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)) (sqrt.f64 (cbrt.f64 (+.f64 x 1/3))))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 x 1/3)) 4)) (cbrt.f64 (+.f64 x 1/3)))
(*.f64 (sqrt.f64 (pow.f64 (+.f64 x 1/3) 3/2)) (sqrt.f64 (sqrt.f64 (+.f64 x 1/3))))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 x 1/3)) 5)) (sqrt.f64 (cbrt.f64 (+.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 (+.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 (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 (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 (pow.f64 (fma.f64 x x -1/9) 2)) (sqrt.f64 (pow.f64 (+.f64 x -1/3) 2)))
(/.f64 (sqrt.f64 (pow.f64 (+.f64 (pow.f64 x 3) 1/27) 2)) (sqrt.f64 (pow.f64 (-.f64 (fma.f64 x x 1/9) (*.f64 x 1/3)) 2)))
(/.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)))
(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))
(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 (log.f64 (pow.f64 (+.f64 x 1/3) 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)
(+.f64 1 (expm1.f64 (+.f64 x 1/3)))
(+.f64 0 (exp.f64 (+.f64 x 1/3)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (exp.f64 (+.f64 x 1/3)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (exp.f64 (+.f64 x 1/3))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (exp.f64 (+.f64 x 1/3))))) (log.f64 (sqrt.f64 (exp.f64 (exp.f64 (+.f64 x 1/3))))))
(-.f64 (+.f64 1 (exp.f64 (+.f64 x 1/3))) 1)
(*.f64 (exp.f64 (+.f64 x 1/3)) 1)
(*.f64 (exp.f64 (+.f64 x 1/3)) (log.f64 (E.f64)))
(*.f64 1 (exp.f64 (+.f64 x 1/3)))
(*.f64 (exp.f64 x) (exp.f64 1/3))
(*.f64 (exp.f64 x) (pow.f64 (E.f64) 1/3))
(*.f64 (exp.f64 1/3) (exp.f64 x))
(*.f64 (cbrt.f64 (exp.f64 (+.f64 x 1/3))) (pow.f64 (cbrt.f64 (exp.f64 (+.f64 x 1/3))) 2))
(*.f64 (cbrt.f64 (exp.f64 (+.f64 x 1/3))) (sqrt.f64 (pow.f64 (cbrt.f64 (exp.f64 (+.f64 x 1/3))) 4)))
(*.f64 (pow.f64 (cbrt.f64 (exp.f64 (+.f64 x 1/3))) 2) (cbrt.f64 (exp.f64 (+.f64 x 1/3))))
(*.f64 (sqrt.f64 (exp.f64 (+.f64 x 1/3))) (sqrt.f64 (exp.f64 (+.f64 x 1/3))))
(*.f64 (sqrt.f64 (exp.f64 x)) (sqrt.f64 (exp.f64 (+.f64 1/3 (+.f64 x 1/3)))))
(*.f64 (sqrt.f64 (sqrt.f64 (exp.f64 (+.f64 x 1/3)))) (sqrt.f64 (pow.f64 (exp.f64 (+.f64 x 1/3)) 3/2)))
(*.f64 (pow.f64 (E.f64) 1/3) (exp.f64 x))
(.f64 (pow.f64 (E.f64) (.f64 2 (*.f64 1/3 (+.f64 x 1/3)))) (cbrt.f64 (exp.f64 (+.f64 x 1/3))))
(.f64 (pow.f64 (E.f64) (.f64 1/2 (+.f64 x 1/3))) (pow.f64 (E.f64) (*.f64 1/2 (+.f64 x 1/3))))
(*.f64 (pow.f64 1 1/3) (exp.f64 (+.f64 x 1/3)))
(.f64 (pow.f64 (exp.f64 (+.f64 (.f64 2 (+.f64 x 1/3)) x)) 1/3) (cbrt.f64 (exp.f64 1/3)))
(.f64 (pow.f64 (pow.f64 (.f64 (exp.f64 (+.f64 x 1/3)) (cbrt.f64 (exp.f64 (+.f64 x 1/3)))) 2) 1/3) (cbrt.f64 (cbrt.f64 (exp.f64 (+.f64 x 1/3)))))
(*.f64 (pow.f64 (pow.f64 (exp.f64 (+.f64 x 1/3)) 5/2) 1/3) (sqrt.f64 (cbrt.f64 (exp.f64 (+.f64 x 1/3)))))
(.f64 (cbrt.f64 (exp.f64 (+.f64 (.f64 2 (+.f64 x 1/3)) x))) (cbrt.f64 (exp.f64 1/3)))
(.f64 (cbrt.f64 (pow.f64 (.f64 (exp.f64 (+.f64 x 1/3)) (cbrt.f64 (exp.f64 (+.f64 x 1/3)))) 2)) (cbrt.f64 (cbrt.f64 (exp.f64 (+.f64 x 1/3)))))
(*.f64 (cbrt.f64 (pow.f64 (exp.f64 (+.f64 x 1/3)) 5/2)) (sqrt.f64 (cbrt.f64 (exp.f64 (+.f64 x 1/3)))))
(*.f64 (sqrt.f64 (pow.f64 (exp.f64 (+.f64 x 1/3)) 3/2)) (sqrt.f64 (sqrt.f64 (exp.f64 (+.f64 x 1/3)))))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (exp.f64 (+.f64 x 1/3))) 4)) (cbrt.f64 (exp.f64 (+.f64 x 1/3))))
(*.f64 (sqrt.f64 (pow.f64 (exp.f64 x) 2)) (sqrt.f64 (exp.f64 2/3)))
(*.f64 (sqrt.f64 (exp.f64 (+.f64 (+.f64 x 1/3) x))) (sqrt.f64 (exp.f64 1/3)))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (exp.f64 (+.f64 x 1/3))) 5)) (sqrt.f64 (cbrt.f64 (exp.f64 (+.f64 x 1/3)))))
(/.f64 (pow.f64 (E.f64) (+.f64 1 (+.f64 x 1/3))) (E.f64))
(/.f64 (pow.f64 (E.f64) (/.f64 (pow.f64 x 2) (+.f64 x -1/3))) (pow.f64 (E.f64) (/.f64 1/9 (+.f64 x -1/3))))
(/.f64 (exp.f64 (+.f64 1 (+.f64 x 1/3))) (E.f64))
(/.f64 (exp.f64 (/.f64 (pow.f64 x 2) (+.f64 x -1/3))) (exp.f64 (/.f64 1/9 (+.f64 x -1/3))))
(pow.f64 (exp.f64 (+.f64 x 1/3)) 1)
(pow.f64 (cbrt.f64 (exp.f64 (+.f64 x 1/3))) 3)
(pow.f64 (pow.f64 (exp.f64 (+.f64 x 1/3)) 2) 1/2)
(pow.f64 (pow.f64 (exp.f64 (+.f64 x 1/3)) 3) 1/3)
(pow.f64 (sqrt.f64 (exp.f64 (+.f64 x 1/3))) 2)
(pow.f64 (E.f64) (+.f64 x 1/3))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (+.f64 x 1/3)) 2)) (cbrt.f64 (+.f64 x 1/3)))
(pow.f64 (exp.f64 (sqrt.f64 (+.f64 x 1/3))) (sqrt.f64 (+.f64 x 1/3)))
(pow.f64 (exp.f64 (cbrt.f64 (+.f64 x 1/3))) (pow.f64 (cbrt.f64 (+.f64 x 1/3)) 2))
(pow.f64 (exp.f64 (fma.f64 x x -1/9)) (/.f64 1 (+.f64 x -1/3)))
(pow.f64 (exp.f64 (+.f64 (pow.f64 x 3) 1/27)) (/.f64 1 (-.f64 (fma.f64 x x 1/9) (*.f64 x 1/3))))
(pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (+.f64 x 1/3)) 2)) (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 x 1/3))) 2)) (cbrt.f64 (cbrt.f64 (+.f64 x 1/3))))
(pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (+.f64 x 1/3)) 2)) (sqrt.f64 (cbrt.f64 (+.f64 x 1/3)))) (sqrt.f64 (cbrt.f64 (+.f64 x 1/3))))
(pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (+.f64 x 1/3))) (cbrt.f64 (+.f64 x 1/3))) (sqrt.f64 (cbrt.f64 (+.f64 x 1/3))))
(pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (+.f64 x 1/3))) (sqrt.f64 (sqrt.f64 (+.f64 x 1/3)))) (sqrt.f64 (sqrt.f64 (+.f64 x 1/3))))
(sqrt.f64 (pow.f64 (exp.f64 (+.f64 x 1/3)) 2))
(log.f64 (exp.f64 (exp.f64 (+.f64 x 1/3))))
(cbrt.f64 (pow.f64 (exp.f64 (+.f64 x 1/3)) 3))
(expm1.f64 (log1p.f64 (exp.f64 (+.f64 x 1/3))))
(log1p.f64 (expm1.f64 (exp.f64 (+.f64 x 1/3))))

Outputs
1/3
(+.f64 1/3 x)
(+.f64 1/3 x)
(+.f64 1/3 x)
x
(+.f64 1/3 x)
(+.f64 1/3 x)
(+.f64 1/3 x)
x
(+.f64 1/3 x)
(+.f64 1/3 x)
(+.f64 1/3 x)
(exp.f64 1/3)
(+.f64 (exp.f64 1/3) (*.f64 x (exp.f64 1/3)))
(*.f64 (+.f64 x 1) (exp.f64 1/3))
(*.f64 (exp.f64 1/3) (+.f64 x 1))
(+.f64 (exp.f64 1/3) (+.f64 (.f64 1/2 (.f64 (pow.f64 x 2) (exp.f64 1/3))) (*.f64 x (exp.f64 1/3))))
(+.f64 (exp.f64 1/3) (fma.f64 1/2 (.f64 (exp.f64 1/3) (pow.f64 x 2)) (.f64 x (exp.f64 1/3))))
(+.f64 (exp.f64 1/3) (.f64 (exp.f64 1/3) (+.f64 x (.f64 1/2 (pow.f64 x 2)))))
(.f64 (exp.f64 1/3) (+.f64 (+.f64 x 1) (.f64 1/2 (pow.f64 x 2))))
(+.f64 (exp.f64 1/3) (+.f64 (.f64 1/6 (.f64 (pow.f64 x 3) (exp.f64 1/3))) (+.f64 (.f64 1/2 (.f64 (pow.f64 x 2) (exp.f64 1/3))) (*.f64 x (exp.f64 1/3)))))
(+.f64 (exp.f64 1/3) (fma.f64 1/6 (.f64 (exp.f64 1/3) (pow.f64 x 3)) (fma.f64 1/2 (.f64 (exp.f64 1/3) (pow.f64 x 2)) (*.f64 x (exp.f64 1/3)))))
(+.f64 (exp.f64 1/3) (fma.f64 1/6 (.f64 (exp.f64 1/3) (pow.f64 x 3)) (.f64 (exp.f64 1/3) (+.f64 x (*.f64 1/2 (pow.f64 x 2))))))
(.f64 (exp.f64 1/3) (+.f64 (.f64 (pow.f64 x 2) (+.f64 (*.f64 1/6 x) 1/2)) (+.f64 x 1)))
(exp.f64 (+.f64 1/3 x))
(exp.f64 (+.f64 1/3 x))
(exp.f64 (+.f64 1/3 x))
(exp.f64 (+.f64 1/3 x))
(exp.f64 (-.f64 1/3 (*.f64 -1 x)))
(exp.f64 (+.f64 1/3 x))
(exp.f64 (-.f64 1/3 (*.f64 -1 x)))
(exp.f64 (+.f64 1/3 x))
(exp.f64 (-.f64 1/3 (*.f64 -1 x)))
(exp.f64 (+.f64 1/3 x))
(exp.f64 (-.f64 1/3 (*.f64 -1 x)))
(exp.f64 (+.f64 1/3 x))
(+.f64 x 1/3)
(+.f64 1/3 x)
(+.f64 1/3 x)
(+.f64 (+.f64 x 1/3) 0)
(+.f64 1/3 x)
(+.f64 0 (+.f64 x 1/3))
(+.f64 1/3 x)
(+.f64 (.f64 2 (.f64 1/3 (+.f64 x 1/3))) (*.f64 1/3 (+.f64 x 1/3)))
(+.f64 1/3 x)
(+.f64 (.f64 1/3 (+.f64 x 1/3)) (.f64 2 (*.f64 1/3 (+.f64 x 1/3))))
(+.f64 1/3 x)
(+.f64 (.f64 1/2 (+.f64 x 1/3)) (.f64 1/2 (+.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 1/3 (.f64 3 (+.f64 x 1/3)))
(+.f64 1/3 x)
(*.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 (cbrt.f64 (+.f64 x 1/3)) (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 x 1/3)) 4)))
(+.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 3 (.f64 1/3 (+.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 -1/27 (pow.f64 x 3)) (-.f64 -1/9 (*.f64 x (+.f64 x -1/3))))
(*.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 2 (.f64 1/2 (+.f64 x 1/3)))
(+.f64 1/3 x)
(*.f64 (sqrt.f64 (sqrt.f64 (+.f64 x 1/3))) (sqrt.f64 (pow.f64 (+.f64 x 1/3) 3/2)))
(*.f64 (sqrt.f64 (sqrt.f64 (+.f64 1/3 x))) (sqrt.f64 (pow.f64 (+.f64 1/3 x) 3/2)))
(*.f64 (pow.f64 (+.f64 1/3 x) 3/4) (sqrt.f64 (sqrt.f64 (+.f64 1/3 x))))
(*.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) (sqrt.f64 (cbrt.f64 (+.f64 x 1/3))))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 1/3 x) 5/2)) (sqrt.f64 (cbrt.f64 (+.f64 1/3 x))))
(.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)) (sqrt.f64 (cbrt.f64 (+.f64 x 1/3))))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 1/3 x) 5/2)) (sqrt.f64 (cbrt.f64 (+.f64 1/3 x))))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 x 1/3)) 4)) (cbrt.f64 (+.f64 x 1/3)))
(+.f64 1/3 x)
(*.f64 (sqrt.f64 (pow.f64 (+.f64 x 1/3) 3/2)) (sqrt.f64 (sqrt.f64 (+.f64 x 1/3))))
(*.f64 (sqrt.f64 (sqrt.f64 (+.f64 1/3 x))) (sqrt.f64 (pow.f64 (+.f64 1/3 x) 3/2)))
(*.f64 (pow.f64 (+.f64 1/3 x) 3/4) (sqrt.f64 (sqrt.f64 (+.f64 1/3 x))))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 x 1/3)) 5)) (sqrt.f64 (cbrt.f64 (+.f64 x 1/3))))
(*.f64 (sqrt.f64 (cbrt.f64 (+.f64 1/3 x))) (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 1/3 x)) 5)))
(*.f64 (sqrt.f64 (cbrt.f64 (+.f64 1/3 x))) (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 -1/27 (pow.f64 x 3)) (-.f64 -1/9 (*.f64 x (+.f64 x -1/3))))
(/.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 -1/27 (pow.f64 x 3)) (-.f64 -1/9 (*.f64 x (+.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 (+.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 -1/27 (pow.f64 x 3)) (-.f64 -1/9 (*.f64 x (+.f64 x -1/3))))
(/.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 -1/27 (pow.f64 x 3)) (-.f64 -1/9 (*.f64 x (+.f64 x -1/3))))
(/.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 (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 (+.f64 1/9 (.f64 x (+.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 (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 (pow.f64 (fma.f64 x x -1/9) 2)) (sqrt.f64 (pow.f64 (+.f64 x -1/3) 2)))
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(pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (+.f64 x 1/3))) (cbrt.f64 (+.f64 x 1/3))) (sqrt.f64 (cbrt.f64 (+.f64 x 1/3))))
(pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (+.f64 1/3 x))) (cbrt.f64 (+.f64 1/3 x))) (sqrt.f64 (cbrt.f64 (+.f64 1/3 x))))
(pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (+.f64 x 1/3))) (sqrt.f64 (sqrt.f64 (+.f64 x 1/3)))) (sqrt.f64 (sqrt.f64 (+.f64 x 1/3))))
(pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (+.f64 1/3 x))) (sqrt.f64 (sqrt.f64 (+.f64 1/3 x)))) (sqrt.f64 (sqrt.f64 (+.f64 1/3 x))))
(sqrt.f64 (pow.f64 (exp.f64 (+.f64 x 1/3)) 2))
(exp.f64 (+.f64 1/3 x))
(log.f64 (exp.f64 (exp.f64 (+.f64 x 1/3))))
(exp.f64 (+.f64 1/3 x))
(cbrt.f64 (pow.f64 (exp.f64 (+.f64 x 1/3)) 3))
(exp.f64 (+.f64 1/3 x))
(expm1.f64 (log1p.f64 (exp.f64 (+.f64 x 1/3))))
(exp.f64 (+.f64 1/3 x))
(log1p.f64 (expm1.f64 (exp.f64 (+.f64 x 1/3))))
(exp.f64 (+.f64 1/3 x))

eval119.0ms (4.7%)

Compiler: Compiled 4788 to 3860 computations (19.4% saved)

prune43.0ms (1.7%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	334	0	334
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	334	4	338

Accuracy

100.0%

Counts

338 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(+.f64 x 1/3)
✓	53.8%	(log.f64 (exp.f64 (+.f64 x 1/3)))
	50.4%	x
	51.7%	1/3
✓	100.0%	(+.f64 x 1/3)
✓	53.8%	(log.f64 (exp.f64 (+.f64 x 1/3)))
	50.4%	x
	51.7%	1/3

Compiler

Compiled 28 to 22 computations (21.4% saved)

localize0.0ms (0%)

eval0.0ms (0%)

Compiler: Compiled 1 to 1 computations (0% saved)

prune3.0ms (0.1%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Kept	Total
New	0	0
Fresh	2	2
Picked	0	0
Done	2	2
Total	4	4

Accuracy

100.0%

Counts

4 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(+.f64 x 1/3)
✓	53.8%	(log.f64 (exp.f64 (+.f64 x 1/3)))
	50.4%	x
	51.7%	1/3
✓	100.0%	(+.f64 x 1/3)
✓	53.8%	(log.f64 (exp.f64 (+.f64 x 1/3)))
	50.4%	x
	51.7%	1/3

Compiler

Compiled 28 to 22 computations (21.4% saved)

localize0.0ms (0%)

eval0.0ms (0%)

Compiler: Compiled 1 to 1 computations (0% saved)

prune3.0ms (0.1%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Kept	Total
New	0	0
Fresh	2	2
Picked	0	0
Done	2	2
Total	4	4

Accuracy

100.0%

Counts

4 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(+.f64 x 1/3)
✓	53.8%	(log.f64 (exp.f64 (+.f64 x 1/3)))
	50.4%	x
	51.7%	1/3

Compiler

Compiled 30 to 23 computations (23.3% saved)

regimes9.0ms (0.4%)

Counts

5 → 1

Calls

Call 1

Inputs
1/3
x
(+.f64 x 1/3)
(+.f64 x (/.f64 1 3))
(log.f64 (exp.f64 (+.f64 x 1/3)))

Outputs
(+.f64 x 1/3)

Calls

2 calls:

5.0ms	x
3.0ms	(+.f64 x (/.f64 1 3))

Results

Accuracy	Segments	Branch
100.0%	1	`x`
100.0%	1	`(+.f64 x (/.f64 1 3))`

Compiler

Compiled 24 to 18 computations (25% saved)

regimes13.0ms (0.5%)

Counts

2 → 3

Calls

Call 1

Inputs
1/3
x

Outputs
x
1/3
x

Calls

1 calls:

12.0ms

Results

Accuracy	Segments	Branch
98.3%	3	`x`

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

Results

Accuracy	Segments	Branch
51.7%	1	`x`

Compiler

Compiled 4 to 3 computations (25% saved)

bsearch30.0ms (1.2%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
14.0ms	1.8031564047623266e-7	14.447433415179763
16.0ms	-3069982430.943726	-4.083404696889245e-6

Results

26.0ms

304×

body

256

valid

Compiler

Compiled 124 to 103 computations (16.9% saved)

simplify4.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

2×	`+-commutative`
2×	`if-if-or-not`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	44
1	22	44

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

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

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

Compiler

Compiled 18 to 13 computations (27.8% saved)

soundness19.0ms (0.7%)

Rules

74×	`fma-def`
18×	`distribute-lft-neg-in`
16×	`associate--r+`
16×	`sub-neg`
14×	`associate-+l-`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	14	52
1	30	40
2	54	40
3	95	40
4	135	40
5	163	40
6	173	40
7	181	40
8	186	40
9	187	40

Stop Event

1×

saturated

Compiler

Compiled 9 to 7 computations (22.2% saved)

end0.0ms (0%)

preprocess28.0ms (1.1%)

Compiler: Compiled 44 to 32 computations (27.3% saved)

analyze0.0ms (0%)

sample1.1s (43.9%)

preprocess302.0ms (11.8%)

eval0.0ms (0%)

prune1.0ms (0%)

localize17.0ms (0.7%)

series1.0ms (0%)

rewrite324.0ms (12.7%)

simplify85.0ms (3.3%)

eval45.0ms (1.8%)

prune86.0ms (3.4%)

localize122.0ms (4.8%)

series1.0ms (0%)

rewrite73.0ms (2.9%)

simplify97.0ms (3.8%)

eval119.0ms (4.7%)

prune43.0ms (1.7%)

localize0.0ms (0%)

eval0.0ms (0%)

prune3.0ms (0.1%)

localize0.0ms (0%)

eval0.0ms (0%)

prune3.0ms (0.1%)

regimes9.0ms (0.4%)

regimes13.0ms (0.5%)

regimes3.0ms (0.1%)

bsearch30.0ms (1.2%)

simplify4.0ms (0.1%)

soundness19.0ms (0.7%)

end0.0ms (0%)

preprocess28.0ms (1.1%)

Profiling