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

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)

Precisions

Click to see histograms

Operation ival-sub, total time spent: 0.0ms

Operation ival-div, total time spent: 0.0ms

Operation const, total time spent: 0.0ms

sample1.0s (27%)

Results

1.0s

8256×

body

256

valid

Precisions

Click to see histograms

Operation ival-sub, total time spent: 55.0ms

Operation ival-div, total time spent: 85.0ms

Operation const, total time spent: 23.0ms

Bogosity

preprocess209.0ms (5.5%)

Algorithm

1×	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)

Iter	Nodes	Cost
0	14	52
1	28	48
2	52	40
3	79	40
4	128	40
5	159	40
6	169	40
7	176	40
8	184	40
9	189	40
10	190	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 (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)

Precisions

Click to see histograms

Operation ival-sub, total time spent: 2.0ms

Operation ival-div, total time spent: 5.0ms

Operation const, total time spent: 1.0ms

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)

localize54.0ms (1.4%)

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)

Precisions

Click to see histograms

Operation ival-add, total time spent: 2.0ms

Operation const, total time spent: 1.0ms

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)

rewrite225.0ms (5.9%)

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 → 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)

simplify93.0ms (2.4%)

Algorithm

1×	egg-herbie

Rules

1142×	`times-frac`
1062×	`fma-neg`
976×	`fma-def`
672×	`unswap-sqr`
578×	`associate-/r*`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	233	2937
1	585	2791
2	2157	2499
3	7638	2499

Stop Event

1×	node limit

Counts

85 → 115

Calls

Call 1

Inputs
-1/3
(-.f64 x 1/3)
(-.f64 x 1/3)
(-.f64 x 1/3)
x
(-.f64 x 1/3)
(-.f64 x 1/3)
(-.f64 x 1/3)
x
(-.f64 x 1/3)
(-.f64 x 1/3)
(-.f64 x 1/3)
(-.f64 (+.f64 1 (+.f64 x -1/3)) 1)
(-.f64 (/.f64 (pow.f64 x 2) (+.f64 x 1/3)) (/.f64 1/9 (+.f64 x 1/3)))
(-.f64 (/.f64 1/9 (-.f64 -1/3 x)) (/.f64 (pow.f64 x 2) (-.f64 -1/3 x)))
(*.f64 (+.f64 x -1/3) 1)
(*.f64 (+.f64 x -1/3) (log.f64 (E.f64)))
(*.f64 1 (+.f64 x -1/3))
(*.f64 (cbrt.f64 (+.f64 x -1/3)) (pow.f64 (cbrt.f64 (+.f64 x -1/3)) 2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 x -1/3)) 2) (cbrt.f64 (+.f64 x -1/3)))
(*.f64 (sqrt.f64 (+.f64 x -1/3)) (sqrt.f64 (+.f64 x -1/3)))
(.f64 (+.f64 (pow.f64 x 3) -1/27) (/.f64 1 (-.f64 (fma.f64 x x 1/9) (.f64 x -1/3))))
(*.f64 (fma.f64 x x -1/9) (/.f64 1 (+.f64 x 1/3)))
(*.f64 (pow.f64 (+.f64 x -1/3) 1/4) (sqrt.f64 (pow.f64 (+.f64 x -1/3) 3/2)))
(*.f64 (pow.f64 1 1/3) (+.f64 x -1/3))
(.f64 (pow.f64 (pow.f64 (.f64 (+.f64 x -1/3) (cbrt.f64 (+.f64 x -1/3))) 2) 1/3) (cbrt.f64 (cbrt.f64 (+.f64 x -1/3))))
(*.f64 (pow.f64 (pow.f64 (+.f64 x -1/3) 5/2) 1/3) (pow.f64 (+.f64 x -1/3) 1/6))
(.f64 (cbrt.f64 (pow.f64 (.f64 (+.f64 x -1/3) (cbrt.f64 (+.f64 x -1/3))) 2)) (cbrt.f64 (cbrt.f64 (+.f64 x -1/3))))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 x -1/3) 5/2)) (pow.f64 (+.f64 x -1/3) 1/6))
(*.f64 (sqrt.f64 (pow.f64 (+.f64 x -1/3) 3/2)) (pow.f64 (+.f64 x -1/3) 1/4))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 x -1/3)) 5)) (pow.f64 (+.f64 x -1/3) 1/6))
(/.f64 1 (/.f64 (-.f64 (fma.f64 x x 1/9) (*.f64 x -1/3)) (+.f64 (pow.f64 x 3) -1/27)))
(/.f64 1 (/.f64 (+.f64 x 1/3) (fma.f64 x x -1/9)))
(/.f64 (+.f64 (pow.f64 x 3) -1/27) (-.f64 (fma.f64 x x 1/9) (*.f64 x -1/3)))
(/.f64 (+.f64 (pow.f64 x 3) -1/27) (+.f64 1/9 (-.f64 (pow.f64 x 2) (*.f64 x -1/3))))
(/.f64 (fma.f64 x x -1/9) (+.f64 x 1/3))
(/.f64 (neg.f64 (+.f64 (pow.f64 x 3) -1/27)) (neg.f64 (-.f64 (fma.f64 x x 1/9) (*.f64 x -1/3))))
(/.f64 (neg.f64 (+.f64 (pow.f64 x 3) -1/27)) (neg.f64 (+.f64 1/9 (-.f64 (pow.f64 x 2) (*.f64 x -1/3)))))
(/.f64 (neg.f64 (fma.f64 x x -1/9)) (neg.f64 (+.f64 x 1/3)))
(/.f64 (-.f64 1/9 (pow.f64 x 2)) (-.f64 -1/3 x))
(/.f64 -1 (neg.f64 (/.f64 (-.f64 (fma.f64 x x 1/9) (*.f64 x -1/3)) (+.f64 (pow.f64 x 3) -1/27))))
(/.f64 -1 (neg.f64 (/.f64 (+.f64 x 1/3) (fma.f64 x x -1/9))))
(/.f64 (cbrt.f64 (.f64 (pow.f64 (+.f64 x -1/3) 2) (+.f64 (pow.f64 x 3) -1/27))) (cbrt.f64 (-.f64 (fma.f64 x x 1/9) (.f64 x -1/3))))
(/.f64 (cbrt.f64 (*.f64 (pow.f64 (+.f64 x -1/3) 2) (fma.f64 x x -1/9))) (cbrt.f64 (+.f64 x 1/3)))
(/.f64 (sqrt.f64 (.f64 (+.f64 (pow.f64 x 3) -1/27) (fma.f64 x x -1/9))) (sqrt.f64 (.f64 (-.f64 (fma.f64 x x 1/9) (*.f64 x -1/3)) (+.f64 x 1/3))))
(/.f64 (sqrt.f64 (.f64 (fma.f64 x x -1/9) (+.f64 (pow.f64 x 3) -1/27))) (sqrt.f64 (.f64 (+.f64 x 1/3) (-.f64 (fma.f64 x x 1/9) (*.f64 x -1/3)))))
(/.f64 (sqrt.f64 (.f64 (+.f64 x -1/3) (+.f64 (pow.f64 x 3) -1/27))) (hypot.f64 x (sqrt.f64 (-.f64 1/9 (.f64 x -1/3)))))
(/.f64 (sqrt.f64 (*.f64 (+.f64 x -1/3) (fma.f64 x x -1/9))) (sqrt.f64 (+.f64 x 1/3)))
(/.f64 (sqrt.f64 (.f64 (+.f64 (pow.f64 x 3) -1/27) (+.f64 x -1/3))) (hypot.f64 x (sqrt.f64 (-.f64 1/9 (.f64 x -1/3)))))
(/.f64 (sqrt.f64 (*.f64 (fma.f64 x x -1/9) (+.f64 x -1/3))) (sqrt.f64 (+.f64 x 1/3)))
(/.f64 (-.f64 (.f64 (pow.f64 x 2) (+.f64 x 1/3)) (.f64 (+.f64 x 1/3) 1/9)) (pow.f64 (+.f64 x 1/3) 2))
(/.f64 (.f64 (-.f64 (pow.f64 x 4) 1/81) 1) (.f64 (fma.f64 x x 1/9) (+.f64 x 1/3)))
(/.f64 (.f64 (sqrt.f64 (fma.f64 x x -1/9)) (sqrt.f64 (+.f64 (pow.f64 x 3) -1/27))) (.f64 (sqrt.f64 (+.f64 x 1/3)) (hypot.f64 x (sqrt.f64 (-.f64 1/9 (*.f64 x -1/3))))))
(/.f64 (.f64 (sqrt.f64 (+.f64 (pow.f64 x 3) -1/27)) (sqrt.f64 (fma.f64 x x -1/9))) (.f64 (hypot.f64 x (sqrt.f64 (-.f64 1/9 (*.f64 x -1/3)))) (sqrt.f64 (+.f64 x 1/3))))
(/.f64 (.f64 (+.f64 (pow.f64 x 9) -1/19683) 1) (.f64 (+.f64 (pow.f64 x 6) (-.f64 1/729 (.f64 (pow.f64 x 3) -1/27))) (-.f64 (fma.f64 x x 1/9) (.f64 x -1/3))))
(/.f64 (.f64 (-.f64 (pow.f64 x 6) 1/729) 1) (.f64 (+.f64 (pow.f64 x 4) (+.f64 1/81 (*.f64 (pow.f64 x 2) 1/9))) (+.f64 x 1/3)))
(/.f64 (.f64 (-.f64 (pow.f64 x 6) 1/729) 1) (.f64 (-.f64 (pow.f64 x 3) -1/27) (-.f64 (fma.f64 x x 1/9) (*.f64 x -1/3))))
(/.f64 (neg.f64 (neg.f64 (+.f64 (pow.f64 x 3) -1/27))) (neg.f64 (neg.f64 (-.f64 (fma.f64 x x 1/9) (*.f64 x -1/3)))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 x x -1/9))) (neg.f64 (neg.f64 (+.f64 x 1/3))))
(/.f64 (neg.f64 (-.f64 1/9 (pow.f64 x 2))) (neg.f64 (-.f64 -1/3 x)))
(pow.f64 (+.f64 x -1/3) 1)
(pow.f64 (cbrt.f64 (+.f64 x -1/3)) 3)
(pow.f64 (pow.f64 (+.f64 x -1/3) 2) 1/2)
(pow.f64 (pow.f64 (+.f64 x -1/3) 3) 1/3)
(pow.f64 (sqrt.f64 (+.f64 x -1/3)) 2)
(pow.f64 (E.f64) (log.f64 (+.f64 x -1/3)))
(pow.f64 (/.f64 (-.f64 (fma.f64 x x 1/9) (*.f64 x -1/3)) (+.f64 (pow.f64 x 3) -1/27)) -1)
(pow.f64 (/.f64 (+.f64 x 1/3) (fma.f64 x x -1/9)) -1)
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x -1/3))) 2)) (cbrt.f64 (log.f64 (+.f64 x -1/3))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (+.f64 x -1/3)))) (sqrt.f64 (log.f64 (+.f64 x -1/3))))
(sqrt.f64 (pow.f64 (+.f64 x -1/3) 2))
(fabs.f64 (+.f64 x -1/3))
(log.f64 (exp.f64 (+.f64 x -1/3)))
(cbrt.f64 (pow.f64 (+.f64 x -1/3) 3))
(expm1.f64 (log1p.f64 (+.f64 x -1/3)))
(exp.f64 (log.f64 (+.f64 x -1/3)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (+.f64 x -1/3))) 3))
(exp.f64 (.f64 (.f64 3 (log.f64 (+.f64 x -1/3))) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 x -1/3))) 2))
(log1p.f64 (expm1.f64 (+.f64 x -1/3)))
(fma.f64 x 1 -1/3)
(fma.f64 1 x -1/3)
(fma.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) 2) -1/3)
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) -1/3)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) -1/3)

Outputs
-1/3
(-.f64 x 1/3)
(+.f64 -1/3 x)
(-.f64 x 1/3)
(+.f64 -1/3 x)
(-.f64 x 1/3)
(+.f64 -1/3 x)
x
(-.f64 x 1/3)
(+.f64 -1/3 x)
(-.f64 x 1/3)
(+.f64 -1/3 x)
(-.f64 x 1/3)
(+.f64 -1/3 x)
x
(-.f64 x 1/3)
(+.f64 -1/3 x)
(-.f64 x 1/3)
(+.f64 -1/3 x)
(-.f64 x 1/3)
(+.f64 -1/3 x)
(-.f64 (+.f64 1 (+.f64 x -1/3)) 1)
(+.f64 -1/3 x)
(-.f64 (/.f64 (pow.f64 x 2) (+.f64 x 1/3)) (/.f64 1/9 (+.f64 x 1/3)))
(+.f64 (/.f64 (pow.f64 x 2) (+.f64 x 1/3)) (/.f64 -1/9 (+.f64 x 1/3)))
(/.f64 (fma.f64 x x -1/9) (+.f64 x 1/3))
(-.f64 (/.f64 1/9 (-.f64 -1/3 x)) (/.f64 (pow.f64 x 2) (-.f64 -1/3 x)))
(-.f64 (/.f64 (pow.f64 x 2) (+.f64 x 1/3)) (/.f64 1/9 (+.f64 x 1/3)))
(+.f64 (/.f64 (pow.f64 x 2) (+.f64 x 1/3)) (/.f64 -1/9 (+.f64 x 1/3)))
(/.f64 (fma.f64 x x -1/9) (+.f64 x 1/3))
(*.f64 (+.f64 x -1/3) 1)
(+.f64 -1/3 x)
(*.f64 (+.f64 x -1/3) (log.f64 (E.f64)))
(+.f64 -1/3 x)
(*.f64 1 (+.f64 x -1/3))
(+.f64 -1/3 x)
(*.f64 (cbrt.f64 (+.f64 x -1/3)) (pow.f64 (cbrt.f64 (+.f64 x -1/3)) 2))
(+.f64 -1/3 x)
(*.f64 (pow.f64 (cbrt.f64 (+.f64 x -1/3)) 2) (cbrt.f64 (+.f64 x -1/3)))
(+.f64 -1/3 x)
(*.f64 (sqrt.f64 (+.f64 x -1/3)) (sqrt.f64 (+.f64 x -1/3)))
(+.f64 -1/3 x)
(.f64 (+.f64 (pow.f64 x 3) -1/27) (/.f64 1 (-.f64 (fma.f64 x x 1/9) (.f64 x -1/3))))
(.f64 (+.f64 (pow.f64 x 3) -1/27) (/.f64 1 (-.f64 (fma.f64 x x 1/9) (.f64 -1/3 x))))
(/.f64 (+.f64 (pow.f64 x 3) -1/27) (+.f64 1/9 (*.f64 x (-.f64 x -1/3))))
(/.f64 (+.f64 (pow.f64 x 3) -1/27) (fma.f64 x (+.f64 x 1/3) 1/9))
(*.f64 (fma.f64 x x -1/9) (/.f64 1 (+.f64 x 1/3)))
(-.f64 (/.f64 (pow.f64 x 2) (+.f64 x 1/3)) (/.f64 1/9 (+.f64 x 1/3)))
(+.f64 (/.f64 (pow.f64 x 2) (+.f64 x 1/3)) (/.f64 -1/9 (+.f64 x 1/3)))
(/.f64 (fma.f64 x x -1/9) (+.f64 x 1/3))
(*.f64 (pow.f64 (+.f64 x -1/3) 1/4) (sqrt.f64 (pow.f64 (+.f64 x -1/3) 3/2)))
(*.f64 (pow.f64 (+.f64 -1/3 x) 1/4) (sqrt.f64 (pow.f64 (+.f64 -1/3 x) 3/2)))
(*.f64 (pow.f64 (+.f64 -1/3 x) 1/4) (pow.f64 (+.f64 -1/3 x) 3/4))
(*.f64 (pow.f64 1 1/3) (+.f64 x -1/3))
(+.f64 -1/3 x)
(.f64 (pow.f64 (pow.f64 (.f64 (+.f64 x -1/3) (cbrt.f64 (+.f64 x -1/3))) 2) 1/3) (cbrt.f64 (cbrt.f64 (+.f64 x -1/3))))
(.f64 (cbrt.f64 (pow.f64 (.f64 (+.f64 -1/3 x) (cbrt.f64 (+.f64 -1/3 x))) 2)) (cbrt.f64 (cbrt.f64 (+.f64 -1/3 x))))
(*.f64 (cbrt.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 -1/3 x)) 4) 2)) (cbrt.f64 (cbrt.f64 (+.f64 -1/3 x))))
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (+.f64 -1/3 x)) 8)) (cbrt.f64 (cbrt.f64 (+.f64 -1/3 x))))
(*.f64 (pow.f64 (pow.f64 (+.f64 x -1/3) 5/2) 1/3) (pow.f64 (+.f64 x -1/3) 1/6))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 -1/3 x) 5/2)) (pow.f64 (+.f64 -1/3 x) 1/6))
(.f64 (cbrt.f64 (pow.f64 (.f64 (+.f64 x -1/3) (cbrt.f64 (+.f64 x -1/3))) 2)) (cbrt.f64 (cbrt.f64 (+.f64 x -1/3))))
(.f64 (cbrt.f64 (pow.f64 (.f64 (+.f64 -1/3 x) (cbrt.f64 (+.f64 -1/3 x))) 2)) (cbrt.f64 (cbrt.f64 (+.f64 -1/3 x))))
(*.f64 (cbrt.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 -1/3 x)) 4) 2)) (cbrt.f64 (cbrt.f64 (+.f64 -1/3 x))))
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (+.f64 -1/3 x)) 8)) (cbrt.f64 (cbrt.f64 (+.f64 -1/3 x))))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 x -1/3) 5/2)) (pow.f64 (+.f64 x -1/3) 1/6))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 -1/3 x) 5/2)) (pow.f64 (+.f64 -1/3 x) 1/6))
(*.f64 (sqrt.f64 (pow.f64 (+.f64 x -1/3) 3/2)) (pow.f64 (+.f64 x -1/3) 1/4))
(*.f64 (pow.f64 (+.f64 -1/3 x) 1/4) (sqrt.f64 (pow.f64 (+.f64 -1/3 x) 3/2)))
(*.f64 (pow.f64 (+.f64 -1/3 x) 1/4) (pow.f64 (+.f64 -1/3 x) 3/4))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 x -1/3)) 5)) (pow.f64 (+.f64 x -1/3) 1/6))
(*.f64 (pow.f64 (+.f64 -1/3 x) 1/6) (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 -1/3 x)) 5)))
(*.f64 (pow.f64 (+.f64 -1/3 x) 1/6) (pow.f64 (cbrt.f64 (+.f64 -1/3 x)) 5/2))
(/.f64 1 (/.f64 (-.f64 (fma.f64 x x 1/9) (*.f64 x -1/3)) (+.f64 (pow.f64 x 3) -1/27)))
(.f64 (+.f64 (pow.f64 x 3) -1/27) (/.f64 1 (-.f64 (fma.f64 x x 1/9) (.f64 -1/3 x))))
(/.f64 (+.f64 (pow.f64 x 3) -1/27) (+.f64 1/9 (*.f64 x (-.f64 x -1/3))))
(/.f64 (+.f64 (pow.f64 x 3) -1/27) (fma.f64 x (+.f64 x 1/3) 1/9))
(/.f64 1 (/.f64 (+.f64 x 1/3) (fma.f64 x x -1/9)))
(-.f64 (/.f64 (pow.f64 x 2) (+.f64 x 1/3)) (/.f64 1/9 (+.f64 x 1/3)))
(+.f64 (/.f64 (pow.f64 x 2) (+.f64 x 1/3)) (/.f64 -1/9 (+.f64 x 1/3)))
(/.f64 (fma.f64 x x -1/9) (+.f64 x 1/3))
(/.f64 (+.f64 (pow.f64 x 3) -1/27) (-.f64 (fma.f64 x x 1/9) (*.f64 x -1/3)))
(.f64 (+.f64 (pow.f64 x 3) -1/27) (/.f64 1 (-.f64 (fma.f64 x x 1/9) (.f64 -1/3 x))))
(/.f64 (+.f64 (pow.f64 x 3) -1/27) (+.f64 1/9 (*.f64 x (-.f64 x -1/3))))
(/.f64 (+.f64 (pow.f64 x 3) -1/27) (fma.f64 x (+.f64 x 1/3) 1/9))
(/.f64 (+.f64 (pow.f64 x 3) -1/27) (+.f64 1/9 (-.f64 (pow.f64 x 2) (*.f64 x -1/3))))
(.f64 (+.f64 (pow.f64 x 3) -1/27) (/.f64 1 (-.f64 (fma.f64 x x 1/9) (.f64 -1/3 x))))
(/.f64 (+.f64 (pow.f64 x 3) -1/27) (+.f64 1/9 (*.f64 x (-.f64 x -1/3))))
(/.f64 (+.f64 (pow.f64 x 3) -1/27) (fma.f64 x (+.f64 x 1/3) 1/9))
(/.f64 (fma.f64 x x -1/9) (+.f64 x 1/3))
(-.f64 (/.f64 (pow.f64 x 2) (+.f64 x 1/3)) (/.f64 1/9 (+.f64 x 1/3)))
(+.f64 (/.f64 (pow.f64 x 2) (+.f64 x 1/3)) (/.f64 -1/9 (+.f64 x 1/3)))
(/.f64 (neg.f64 (+.f64 (pow.f64 x 3) -1/27)) (neg.f64 (-.f64 (fma.f64 x x 1/9) (*.f64 x -1/3))))
(.f64 (+.f64 (pow.f64 x 3) -1/27) (/.f64 1 (-.f64 (fma.f64 x x 1/9) (.f64 -1/3 x))))
(/.f64 (+.f64 (pow.f64 x 3) -1/27) (+.f64 1/9 (*.f64 x (-.f64 x -1/3))))
(/.f64 (+.f64 (pow.f64 x 3) -1/27) (fma.f64 x (+.f64 x 1/3) 1/9))
(/.f64 (neg.f64 (+.f64 (pow.f64 x 3) -1/27)) (neg.f64 (+.f64 1/9 (-.f64 (pow.f64 x 2) (*.f64 x -1/3)))))
(.f64 (+.f64 (pow.f64 x 3) -1/27) (/.f64 1 (-.f64 (fma.f64 x x 1/9) (.f64 -1/3 x))))
(/.f64 (+.f64 (pow.f64 x 3) -1/27) (+.f64 1/9 (*.f64 x (-.f64 x -1/3))))
(/.f64 (+.f64 (pow.f64 x 3) -1/27) (fma.f64 x (+.f64 x 1/3) 1/9))
(/.f64 (neg.f64 (fma.f64 x x -1/9)) (neg.f64 (+.f64 x 1/3)))
(-.f64 (/.f64 (pow.f64 x 2) (+.f64 x 1/3)) (/.f64 1/9 (+.f64 x 1/3)))
(+.f64 (/.f64 (pow.f64 x 2) (+.f64 x 1/3)) (/.f64 -1/9 (+.f64 x 1/3)))
(/.f64 (fma.f64 x x -1/9) (+.f64 x 1/3))
(/.f64 (-.f64 1/9 (pow.f64 x 2)) (-.f64 -1/3 x))
(-.f64 (/.f64 (pow.f64 x 2) (+.f64 x 1/3)) (/.f64 1/9 (+.f64 x 1/3)))
(+.f64 (/.f64 (pow.f64 x 2) (+.f64 x 1/3)) (/.f64 -1/9 (+.f64 x 1/3)))
(/.f64 (fma.f64 x x -1/9) (+.f64 x 1/3))
(/.f64 -1 (neg.f64 (/.f64 (-.f64 (fma.f64 x x 1/9) (*.f64 x -1/3)) (+.f64 (pow.f64 x 3) -1/27))))
(.f64 (+.f64 (pow.f64 x 3) -1/27) (/.f64 1 (-.f64 (fma.f64 x x 1/9) (.f64 -1/3 x))))
(/.f64 (+.f64 (pow.f64 x 3) -1/27) (+.f64 1/9 (*.f64 x (-.f64 x -1/3))))
(/.f64 (+.f64 (pow.f64 x 3) -1/27) (fma.f64 x (+.f64 x 1/3) 1/9))
(/.f64 -1 (neg.f64 (/.f64 (+.f64 x 1/3) (fma.f64 x x -1/9))))
(-.f64 (/.f64 (pow.f64 x 2) (+.f64 x 1/3)) (/.f64 1/9 (+.f64 x 1/3)))
(+.f64 (/.f64 (pow.f64 x 2) (+.f64 x 1/3)) (/.f64 -1/9 (+.f64 x 1/3)))
(/.f64 (fma.f64 x x -1/9) (+.f64 x 1/3))
(/.f64 (cbrt.f64 (.f64 (pow.f64 (+.f64 x -1/3) 2) (+.f64 (pow.f64 x 3) -1/27))) (cbrt.f64 (-.f64 (fma.f64 x x 1/9) (.f64 x -1/3))))
(/.f64 (cbrt.f64 (.f64 (+.f64 (pow.f64 x 3) -1/27) (pow.f64 (+.f64 -1/3 x) 2))) (cbrt.f64 (-.f64 (fma.f64 x x 1/9) (.f64 -1/3 x))))
(/.f64 (cbrt.f64 (.f64 (+.f64 (pow.f64 x 3) -1/27) (pow.f64 (+.f64 -1/3 x) 2))) (cbrt.f64 (+.f64 1/9 (.f64 x (-.f64 x -1/3)))))
(/.f64 (cbrt.f64 (*.f64 (+.f64 (pow.f64 x 3) -1/27) (pow.f64 (+.f64 -1/3 x) 2))) (cbrt.f64 (fma.f64 x (+.f64 x 1/3) 1/9)))
(/.f64 (cbrt.f64 (*.f64 (pow.f64 (+.f64 x -1/3) 2) (fma.f64 x x -1/9))) (cbrt.f64 (+.f64 x 1/3)))
(/.f64 (cbrt.f64 (*.f64 (fma.f64 x x -1/9) (pow.f64 (+.f64 -1/3 x) 2))) (cbrt.f64 (+.f64 x 1/3)))
(/.f64 (sqrt.f64 (.f64 (+.f64 (pow.f64 x 3) -1/27) (fma.f64 x x -1/9))) (sqrt.f64 (.f64 (-.f64 (fma.f64 x x 1/9) (*.f64 x -1/3)) (+.f64 x 1/3))))
(/.f64 (sqrt.f64 (.f64 (+.f64 (pow.f64 x 3) -1/27) (fma.f64 x x -1/9))) (sqrt.f64 (.f64 (+.f64 x 1/3) (-.f64 (fma.f64 x x 1/9) (*.f64 -1/3 x)))))
(/.f64 (sqrt.f64 (.f64 (+.f64 (pow.f64 x 3) -1/27) (fma.f64 x x -1/9))) (sqrt.f64 (.f64 (+.f64 x 1/3) (+.f64 1/9 (*.f64 x (-.f64 x -1/3))))))
(/.f64 (sqrt.f64 (.f64 (+.f64 (pow.f64 x 3) -1/27) (fma.f64 x x -1/9))) (sqrt.f64 (.f64 (+.f64 x 1/3) (fma.f64 x (+.f64 x 1/3) 1/9))))
(/.f64 (sqrt.f64 (.f64 (fma.f64 x x -1/9) (+.f64 (pow.f64 x 3) -1/27))) (sqrt.f64 (.f64 (+.f64 x 1/3) (-.f64 (fma.f64 x x 1/9) (*.f64 x -1/3)))))
(/.f64 (sqrt.f64 (.f64 (+.f64 (pow.f64 x 3) -1/27) (fma.f64 x x -1/9))) (sqrt.f64 (.f64 (+.f64 x 1/3) (-.f64 (fma.f64 x x 1/9) (*.f64 -1/3 x)))))
(/.f64 (sqrt.f64 (.f64 (+.f64 (pow.f64 x 3) -1/27) (fma.f64 x x -1/9))) (sqrt.f64 (.f64 (+.f64 x 1/3) (+.f64 1/9 (*.f64 x (-.f64 x -1/3))))))
(/.f64 (sqrt.f64 (.f64 (+.f64 (pow.f64 x 3) -1/27) (fma.f64 x x -1/9))) (sqrt.f64 (.f64 (+.f64 x 1/3) (fma.f64 x (+.f64 x 1/3) 1/9))))
(/.f64 (sqrt.f64 (.f64 (+.f64 x -1/3) (+.f64 (pow.f64 x 3) -1/27))) (hypot.f64 x (sqrt.f64 (-.f64 1/9 (.f64 x -1/3)))))
(/.f64 (sqrt.f64 (.f64 (+.f64 -1/3 x) (+.f64 (pow.f64 x 3) -1/27))) (hypot.f64 x (sqrt.f64 (-.f64 1/9 (.f64 -1/3 x)))))
(/.f64 (sqrt.f64 (.f64 (+.f64 -1/3 x) (+.f64 (pow.f64 x 3) -1/27))) (hypot.f64 x (sqrt.f64 (+.f64 1/9 (.f64 x 1/3)))))
(/.f64 (sqrt.f64 (*.f64 (+.f64 -1/3 x) (+.f64 (pow.f64 x 3) -1/27))) (hypot.f64 x (sqrt.f64 (fma.f64 x 1/3 1/9))))
(/.f64 (sqrt.f64 (*.f64 (+.f64 x -1/3) (fma.f64 x x -1/9))) (sqrt.f64 (+.f64 x 1/3)))
(/.f64 (sqrt.f64 (*.f64 (+.f64 -1/3 x) (fma.f64 x x -1/9))) (sqrt.f64 (+.f64 x 1/3)))
(/.f64 (sqrt.f64 (.f64 (+.f64 (pow.f64 x 3) -1/27) (+.f64 x -1/3))) (hypot.f64 x (sqrt.f64 (-.f64 1/9 (.f64 x -1/3)))))
(/.f64 (sqrt.f64 (.f64 (+.f64 -1/3 x) (+.f64 (pow.f64 x 3) -1/27))) (hypot.f64 x (sqrt.f64 (-.f64 1/9 (.f64 -1/3 x)))))
(/.f64 (sqrt.f64 (.f64 (+.f64 -1/3 x) (+.f64 (pow.f64 x 3) -1/27))) (hypot.f64 x (sqrt.f64 (+.f64 1/9 (.f64 x 1/3)))))
(/.f64 (sqrt.f64 (*.f64 (+.f64 -1/3 x) (+.f64 (pow.f64 x 3) -1/27))) (hypot.f64 x (sqrt.f64 (fma.f64 x 1/3 1/9))))
(/.f64 (sqrt.f64 (*.f64 (fma.f64 x x -1/9) (+.f64 x -1/3))) (sqrt.f64 (+.f64 x 1/3)))
(/.f64 (sqrt.f64 (*.f64 (+.f64 -1/3 x) (fma.f64 x x -1/9))) (sqrt.f64 (+.f64 x 1/3)))
(/.f64 (-.f64 (.f64 (pow.f64 x 2) (+.f64 x 1/3)) (.f64 (+.f64 x 1/3) 1/9)) (pow.f64 (+.f64 x 1/3) 2))
(-.f64 (/.f64 (pow.f64 x 2) (+.f64 x 1/3)) (/.f64 1/9 (+.f64 x 1/3)))
(+.f64 (/.f64 (pow.f64 x 2) (+.f64 x 1/3)) (/.f64 -1/9 (+.f64 x 1/3)))
(/.f64 (fma.f64 x x -1/9) (+.f64 x 1/3))
(/.f64 (.f64 (-.f64 (pow.f64 x 4) 1/81) 1) (.f64 (fma.f64 x x 1/9) (+.f64 x 1/3)))
(/.f64 (+.f64 (pow.f64 x 4) -1/81) (*.f64 (+.f64 x 1/3) (fma.f64 x x 1/9)))
(/.f64 (.f64 (sqrt.f64 (fma.f64 x x -1/9)) (sqrt.f64 (+.f64 (pow.f64 x 3) -1/27))) (.f64 (sqrt.f64 (+.f64 x 1/3)) (hypot.f64 x (sqrt.f64 (-.f64 1/9 (*.f64 x -1/3))))))
(.f64 (/.f64 (sqrt.f64 (+.f64 (pow.f64 x 3) -1/27)) (hypot.f64 x (sqrt.f64 (-.f64 1/9 (.f64 -1/3 x))))) (/.f64 (sqrt.f64 (fma.f64 x x -1/9)) (sqrt.f64 (+.f64 x 1/3))))
(.f64 (/.f64 (sqrt.f64 (fma.f64 x x -1/9)) (hypot.f64 x (sqrt.f64 (+.f64 1/9 (.f64 x 1/3))))) (/.f64 (sqrt.f64 (+.f64 (pow.f64 x 3) -1/27)) (sqrt.f64 (+.f64 x 1/3))))
(/.f64 (sqrt.f64 (fma.f64 x x -1/9)) (*.f64 (/.f64 (sqrt.f64 (+.f64 x 1/3)) (sqrt.f64 (+.f64 (pow.f64 x 3) -1/27))) (hypot.f64 x (sqrt.f64 (fma.f64 x 1/3 1/9)))))
(/.f64 (.f64 (sqrt.f64 (+.f64 (pow.f64 x 3) -1/27)) (sqrt.f64 (fma.f64 x x -1/9))) (.f64 (hypot.f64 x (sqrt.f64 (-.f64 1/9 (*.f64 x -1/3)))) (sqrt.f64 (+.f64 x 1/3))))
(.f64 (/.f64 (sqrt.f64 (+.f64 (pow.f64 x 3) -1/27)) (hypot.f64 x (sqrt.f64 (-.f64 1/9 (.f64 -1/3 x))))) (/.f64 (sqrt.f64 (fma.f64 x x -1/9)) (sqrt.f64 (+.f64 x 1/3))))
(.f64 (/.f64 (sqrt.f64 (fma.f64 x x -1/9)) (hypot.f64 x (sqrt.f64 (+.f64 1/9 (.f64 x 1/3))))) (/.f64 (sqrt.f64 (+.f64 (pow.f64 x 3) -1/27)) (sqrt.f64 (+.f64 x 1/3))))
(/.f64 (sqrt.f64 (fma.f64 x x -1/9)) (*.f64 (/.f64 (sqrt.f64 (+.f64 x 1/3)) (sqrt.f64 (+.f64 (pow.f64 x 3) -1/27))) (hypot.f64 x (sqrt.f64 (fma.f64 x 1/3 1/9)))))
(/.f64 (.f64 (+.f64 (pow.f64 x 9) -1/19683) 1) (.f64 (+.f64 (pow.f64 x 6) (-.f64 1/729 (.f64 (pow.f64 x 3) -1/27))) (-.f64 (fma.f64 x x 1/9) (.f64 x -1/3))))
(/.f64 (+.f64 (pow.f64 x 9) -1/19683) (.f64 (-.f64 (fma.f64 x x 1/9) (.f64 -1/3 x)) (+.f64 (pow.f64 x 6) (-.f64 1/729 (*.f64 (pow.f64 x 3) -1/27)))))
(/.f64 (/.f64 (+.f64 (pow.f64 x 9) -1/19683) (+.f64 1/9 (.f64 x (-.f64 x -1/3)))) (+.f64 (+.f64 (pow.f64 x 6) 1/729) (.f64 (pow.f64 x 3) 1/27)))
(/.f64 (+.f64 (pow.f64 x 9) -1/19683) (*.f64 (fma.f64 x (+.f64 x 1/3) 1/9) (+.f64 (pow.f64 x 6) (fma.f64 (pow.f64 x 3) 1/27 1/729))))
(/.f64 (.f64 (-.f64 (pow.f64 x 6) 1/729) 1) (.f64 (+.f64 (pow.f64 x 4) (+.f64 1/81 (*.f64 (pow.f64 x 2) 1/9))) (+.f64 x 1/3)))
(/.f64 (+.f64 (pow.f64 x 6) -1/729) (.f64 (+.f64 x 1/3) (+.f64 (pow.f64 x 4) (+.f64 1/81 (.f64 (pow.f64 x 2) 1/9)))))
(/.f64 (/.f64 (+.f64 (pow.f64 x 6) -1/729) (+.f64 (pow.f64 x 4) (fma.f64 (pow.f64 x 2) 1/9 1/81))) (+.f64 x 1/3))
(/.f64 (+.f64 (pow.f64 x 6) -1/729) (*.f64 (+.f64 x 1/3) (+.f64 (pow.f64 x 4) (fma.f64 (pow.f64 x 2) 1/9 1/81))))
(/.f64 (.f64 (-.f64 (pow.f64 x 6) 1/729) 1) (.f64 (-.f64 (pow.f64 x 3) -1/27) (-.f64 (fma.f64 x x 1/9) (*.f64 x -1/3))))
(/.f64 (+.f64 (pow.f64 x 6) -1/729) (.f64 (-.f64 (fma.f64 x x 1/9) (.f64 -1/3 x)) (+.f64 (pow.f64 x 3) 1/27)))
(/.f64 (+.f64 (pow.f64 x 6) -1/729) (.f64 (+.f64 1/9 (.f64 x (-.f64 x -1/3))) (+.f64 (pow.f64 x 3) 1/27)))
(/.f64 (+.f64 (pow.f64 x 6) -1/729) (*.f64 (fma.f64 x (+.f64 x 1/3) 1/9) (+.f64 (pow.f64 x 3) 1/27)))
(/.f64 (neg.f64 (neg.f64 (+.f64 (pow.f64 x 3) -1/27))) (neg.f64 (neg.f64 (-.f64 (fma.f64 x x 1/9) (*.f64 x -1/3)))))
(.f64 (+.f64 (pow.f64 x 3) -1/27) (/.f64 1 (-.f64 (fma.f64 x x 1/9) (.f64 -1/3 x))))
(/.f64 (+.f64 (pow.f64 x 3) -1/27) (+.f64 1/9 (*.f64 x (-.f64 x -1/3))))
(/.f64 (+.f64 (pow.f64 x 3) -1/27) (fma.f64 x (+.f64 x 1/3) 1/9))
(/.f64 (neg.f64 (neg.f64 (fma.f64 x x -1/9))) (neg.f64 (neg.f64 (+.f64 x 1/3))))
(-.f64 (/.f64 (pow.f64 x 2) (+.f64 x 1/3)) (/.f64 1/9 (+.f64 x 1/3)))
(+.f64 (/.f64 (pow.f64 x 2) (+.f64 x 1/3)) (/.f64 -1/9 (+.f64 x 1/3)))
(/.f64 (fma.f64 x x -1/9) (+.f64 x 1/3))
(/.f64 (neg.f64 (-.f64 1/9 (pow.f64 x 2))) (neg.f64 (-.f64 -1/3 x)))
(-.f64 (/.f64 (pow.f64 x 2) (+.f64 x 1/3)) (/.f64 1/9 (+.f64 x 1/3)))
(+.f64 (/.f64 (pow.f64 x 2) (+.f64 x 1/3)) (/.f64 -1/9 (+.f64 x 1/3)))
(/.f64 (fma.f64 x x -1/9) (+.f64 x 1/3))
(pow.f64 (+.f64 x -1/3) 1)
(+.f64 -1/3 x)
(pow.f64 (cbrt.f64 (+.f64 x -1/3)) 3)
(+.f64 -1/3 x)
(pow.f64 (pow.f64 (+.f64 x -1/3) 2) 1/2)
(+.f64 -1/3 x)
(pow.f64 (pow.f64 (+.f64 x -1/3) 3) 1/3)
(+.f64 -1/3 x)
(pow.f64 (sqrt.f64 (+.f64 x -1/3)) 2)
(+.f64 -1/3 x)
(pow.f64 (E.f64) (log.f64 (+.f64 x -1/3)))
(+.f64 -1/3 x)
(pow.f64 (/.f64 (-.f64 (fma.f64 x x 1/9) (*.f64 x -1/3)) (+.f64 (pow.f64 x 3) -1/27)) -1)
(.f64 (+.f64 (pow.f64 x 3) -1/27) (/.f64 1 (-.f64 (fma.f64 x x 1/9) (.f64 -1/3 x))))
(/.f64 (+.f64 (pow.f64 x 3) -1/27) (+.f64 1/9 (*.f64 x (-.f64 x -1/3))))
(/.f64 (+.f64 (pow.f64 x 3) -1/27) (fma.f64 x (+.f64 x 1/3) 1/9))
(pow.f64 (/.f64 (+.f64 x 1/3) (fma.f64 x x -1/9)) -1)
(-.f64 (/.f64 (pow.f64 x 2) (+.f64 x 1/3)) (/.f64 1/9 (+.f64 x 1/3)))
(+.f64 (/.f64 (pow.f64 x 2) (+.f64 x 1/3)) (/.f64 -1/9 (+.f64 x 1/3)))
(/.f64 (fma.f64 x x -1/9) (+.f64 x 1/3))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x -1/3))) 2)) (cbrt.f64 (log.f64 (+.f64 x -1/3))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 -1/3 x))) 2)) (cbrt.f64 (log.f64 (+.f64 -1/3 x))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (+.f64 x -1/3)))) (sqrt.f64 (log.f64 (+.f64 x -1/3))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (+.f64 -1/3 x)))) (sqrt.f64 (log.f64 (+.f64 -1/3 x))))
(sqrt.f64 (pow.f64 (+.f64 x -1/3) 2))
(+.f64 -1/3 x)
(fabs.f64 (+.f64 x -1/3))
(+.f64 -1/3 x)
(log.f64 (exp.f64 (+.f64 x -1/3)))
(+.f64 -1/3 x)
(cbrt.f64 (pow.f64 (+.f64 x -1/3) 3))
(+.f64 -1/3 x)
(expm1.f64 (log1p.f64 (+.f64 x -1/3)))
(+.f64 -1/3 x)
(exp.f64 (log.f64 (+.f64 x -1/3)))
(+.f64 -1/3 x)
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (+.f64 x -1/3))) 3))
(+.f64 -1/3 x)
(exp.f64 (.f64 (.f64 3 (log.f64 (+.f64 x -1/3))) 1/3))
(+.f64 -1/3 x)
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 x -1/3))) 2))
(+.f64 -1/3 x)
(log1p.f64 (expm1.f64 (+.f64 x -1/3)))
(+.f64 -1/3 x)
(fma.f64 x 1 -1/3)
(+.f64 -1/3 x)
(fma.f64 1 x -1/3)
(+.f64 -1/3 x)
(fma.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) 2) -1/3)
(+.f64 -1/3 x)
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) -1/3)
(+.f64 -1/3 x)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) -1/3)
(+.f64 -1/3 x)

eval46.0ms (1.2%)

Compiler: Compiled 1586 to 1235 computations (22.1% saved)

prune18.0ms (0.5%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	110	5	115
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	110	6	116

Accuracy

100.0%

Counts

116 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	64.0%	(/.f64 (+.f64 (pow.f64 x 3) -1/27) (+.f64 1/9 (*.f64 x (-.f64 x -1/3))))
▶	74.4%	(/.f64 1 (/.f64 (+.f64 x 1/3) (fma.f64 x x -1/9)))
✓	100.0%	(+.f64 x -1/3)
▶	68.4%	(expm1.f64 (log1p.f64 (+.f64 x -1/3)))
	51.1%	x
	50.5%	-1/3
▶	64.0%	(/.f64 (+.f64 (pow.f64 x 3) -1/27) (+.f64 1/9 (*.f64 x (-.f64 x -1/3))))
▶	74.4%	(/.f64 1 (/.f64 (+.f64 x 1/3) (fma.f64 x x -1/9)))
✓	100.0%	(+.f64 x -1/3)
▶	68.4%	(expm1.f64 (log1p.f64 (+.f64 x -1/3)))
	51.1%	x
	50.5%	-1/3

Compiler

Compiled 78 to 60 computations (23.1% saved)

localize228.0ms (6%)

Localize:

Found 11 expressions with local error:

New	Accuracy	Program
✓	100.0%	(-.f64 x -1/3)
✓	100.0%	(+.f64 1/9 (*.f64 x (-.f64 x -1/3)))
✓	99.8%	(*.f64 x (-.f64 x -1/3))
✓	86.1%	(/.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)
✓	99.9%	(/.f64 1 (/.f64 (+.f64 x 1/3) (fma.f64 x x -1/9)))
✓	88.0%	(/.f64 (+.f64 x 1/3) (fma.f64 x x -1/9))
	100.0%	(+.f64 x -1/3)
✓	100.0%	(log1p.f64 (+.f64 x -1/3))
✓	97.3%	(expm1.f64 (log1p.f64 (+.f64 x -1/3)))

Compiler

Compiled 86 to 61 computations (29.1% saved)

Precisions

Click to see histograms

Operation ival-sub, total time spent: 6.0ms

Operation ival-pow, total time spent: 16.0ms

Operation ival-mult, total time spent: 6.0ms

Operation ival-log1p, total time spent: 12.0ms

Operation ival-fma, total time spent: 10.0ms

Operation ival-expm1, total time spent: 3.0ms

Operation ival-div, total time spent: 8.0ms

Operation ival-add, total time spent: 16.0ms

Operation const, total time spent: 6.0ms

series7.0ms (0.2%)

Counts

10 → 120

Calls

30 calls:

Time	Variable		Point	Expression
1.0ms	x	@	-inf	(/.f64 1 (/.f64 (+.f64 x 1/3) (fma.f64 x x -1/9)))
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	(log1p.f64 (+.f64 x -1/3))

rewrite224.0ms (5.9%)

Algorithm

1×	batch-egg-rewrite

Rules

1416×	`prod-diff`
681×	`log1p-expm1-u`
498×	`expm1-udef`
498×	`log1p-udef`
190×	`associate-r`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	27	189
1	356	167
2	4672	167

Stop Event

1×	node limit

Counts

10 → 378

Calls

Call 1

Inputs
(expm1.f64 (log1p.f64 (+.f64 x -1/3)))
(log1p.f64 (+.f64 x -1/3))
(/.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 x -1/3)

Outputs
(+.f64 x -1/3)
(+.f64 -1/3 x)
(+.f64 (+.f64 2/3 x) -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 x 1/3)
(-.f64 (+.f64 2/3 x) 1)
(-.f64 (/.f64 (pow.f64 x 2) (+.f64 x 1/3)) (/.f64 1/9 (+.f64 x 1/3)))
(*.f64 (fma.f64 x x -1/9) (/.f64 1 (+.f64 x 1/3)))
(*.f64 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 x -1/3) 1)
(*.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 (cbrt.f64 (/.f64 1 (+.f64 x -1/3))) 2) -1) (pow.f64 (cbrt.f64 (/.f64 1 (+.f64 x -1/3))) -1))
(*.f64 (pow.f64 (sqrt.f64 (/.f64 1 (+.f64 x -1/3))) -1) (pow.f64 (sqrt.f64 (/.f64 1 (+.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 (/.f64 1 (+.f64 x 1/3)) 1) (fma.f64 x x -1/9))
(.f64 (.f64 (/.f64 1 (+.f64 x 1/3)) (pow.f64 (cbrt.f64 (fma.f64 x x -1/9)) 2)) (cbrt.f64 (fma.f64 x x -1/9)))
(.f64 (.f64 (/.f64 1 (+.f64 x 1/3)) (sqrt.f64 (fma.f64 x x -1/9))) (sqrt.f64 (fma.f64 x x -1/9)))
(.f64 (/.f64 (fma.f64 x x -1/9) (+.f64 (pow.f64 x 3) 1/27)) (fma.f64 x x (-.f64 1/9 (.f64 x 1/3))))
(.f64 (/.f64 (fma.f64 x x -1/9) (+.f64 (pow.f64 x 3) 1/27)) (fma.f64 x x (+.f64 1/9 (.f64 x -1/3))))
(*.f64 (/.f64 (fma.f64 x x -1/9) (fma.f64 x x -1/9)) (+.f64 x -1/3))
(*.f64 (/.f64 1 (+.f64 -1/3 (neg.f64 x))) (neg.f64 (fma.f64 x x -1/9)))
(/.f64 (fma.f64 x x -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 (+.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)) (sqrt.f64 (/.f64 1 (+.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 (pow.f64 x 6) (-.f64 1/729 (*.f64 (pow.f64 x 3) -1/27)))))
(/.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 1 (+.f64 x 1/3)) (/.f64 1 (fma.f64 x x -1/9)))
(/.f64 (/.f64 (fma.f64 x x -1/9) (sqrt.f64 (+.f64 x 1/3))) (sqrt.f64 (+.f64 x 1/3)))
(/.f64 (-.f64 (pow.f64 (+.f64 2/3 x) 3) 1) (+.f64 (.f64 (+.f64 2/3 x) (+.f64 2/3 x)) (+.f64 1 (.f64 (+.f64 2/3 x) 1))))
(/.f64 (-.f64 (pow.f64 x 3) 1/27) (+.f64 (pow.f64 x 2) (+.f64 1/9 (*.f64 x 1/3))))
(/.f64 (/.f64 (fma.f64 x x -1/9) 1) (+.f64 x 1/3))
(/.f64 (-.f64 1/9 (pow.f64 x 2)) (-.f64 -1/3 x))
(/.f64 (-.f64 (*.f64 (+.f64 2/3 x) (+.f64 2/3 x)) 1) (+.f64 (+.f64 2/3 x) 1))
(/.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 1 (pow.f64 (cbrt.f64 (/.f64 1 (+.f64 x -1/3))) 2)) (cbrt.f64 (/.f64 1 (+.f64 x -1/3))))
(pow.f64 (/.f64 1 (+.f64 x -1/3)) -1)
(pow.f64 (cbrt.f64 (+.f64 x -1/3)) 3)
(pow.f64 (pow.f64 (+.f64 x -1/3) 3) 1/3)
(pow.f64 (sqrt.f64 (+.f64 x -1/3)) 2)
(pow.f64 (+.f64 x -1/3) 1)
(sqrt.f64 (pow.f64 (+.f64 x -1/3) 2))
(log.f64 (exp.f64 (+.f64 x -1/3)))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 x -1/3))))
(cbrt.f64 (pow.f64 (+.f64 x -1/3) 3))
(cbrt.f64 (/.f64 (pow.f64 (fma.f64 x x -1/9) 3) (pow.f64 (+.f64 x 1/3) 3)))
(exp.f64 (log.f64 (+.f64 x -1/3)))
(exp.f64 (*.f64 (neg.f64 (log.f64 (+.f64 x -1/3))) -1))
(exp.f64 (*.f64 (log.f64 (+.f64 x -1/3)) 1))
(log1p.f64 (expm1.f64 (+.f64 x -1/3)))
(fma.f64 1 x -1/3)
(fma.f64 (cbrt.f64 (pow.f64 x 2)) (cbrt.f64 x) -1/3)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) -1/3)
(-.f64 (exp.f64 (log1p.f64 (log.f64 (+.f64 2/3 x)))) 1)
(*.f64 (log.f64 (+.f64 2/3 x)) 1)
(*.f64 1 (log.f64 (+.f64 2/3 x)))
(*.f64 (cbrt.f64 (log.f64 (+.f64 2/3 x))) (pow.f64 (cbrt.f64 (log.f64 (+.f64 2/3 x))) 2))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 2/3 x))) 2) (cbrt.f64 (log.f64 (+.f64 2/3 x))))
(*.f64 (sqrt.f64 (log.f64 (+.f64 2/3 x))) (sqrt.f64 (log.f64 (+.f64 2/3 x))))
(pow.f64 (log.f64 (+.f64 2/3 x)) 1)
(pow.f64 (cbrt.f64 (log.f64 (+.f64 2/3 x))) 3)
(pow.f64 (pow.f64 (log.f64 (+.f64 2/3 x)) 3) 1/3)
(pow.f64 (sqrt.f64 (log.f64 (+.f64 2/3 x))) 2)
(sqrt.f64 (pow.f64 (log.f64 (+.f64 2/3 x)) 2))
(log.f64 (+.f64 2/3 x))
(cbrt.f64 (pow.f64 (log.f64 (+.f64 2/3 x)) 3))
(expm1.f64 (log1p.f64 (log.f64 (+.f64 2/3 x))))
(exp.f64 (log.f64 (log.f64 (+.f64 2/3 x))))
(exp.f64 (*.f64 (log.f64 (log.f64 (+.f64 2/3 x))) 1))
(-.f64 (exp.f64 (log1p.f64 (/.f64 1 (+.f64 x -1/3)))) 1)
(-.f64 (/.f64 x (fma.f64 x x -1/9)) (/.f64 -1/3 (fma.f64 x x -1/9)))
(*.f64 (+.f64 x 1/3) (/.f64 1 (fma.f64 x x -1/9)))
(*.f64 (/.f64 1 (+.f64 x -1/3)) 1)
(*.f64 1 (/.f64 1 (+.f64 x -1/3)))
(*.f64 (cbrt.f64 (/.f64 1 (+.f64 x -1/3))) (pow.f64 (cbrt.f64 (/.f64 1 (+.f64 x -1/3))) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 1 (+.f64 x -1/3))) 2) (cbrt.f64 (/.f64 1 (+.f64 x -1/3))))
(.f64 (pow.f64 (cbrt.f64 (+.f64 x 1/3)) 2) (.f64 (cbrt.f64 (+.f64 x 1/3)) (/.f64 1 (fma.f64 x x -1/9))))
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(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 (+.f64 x 1/3)) x))
(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 x (+.f64 x 1/3) 1/9)
(fma.f64 (+.f64 x 1/3) x 1/9)
(fma.f64 1 (*.f64 x (+.f64 x 1/3)) 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 x 1/3)
(+.f64 1/3 x)
(*.f64 (+.f64 x 1/3) 1)
(*.f64 (fma.f64 x x -1/9) (/.f64 1 (+.f64 x -1/3)))
(*.f64 1 (+.f64 x 1/3))
(*.f64 (cbrt.f64 (+.f64 x 1/3)) (pow.f64 (cbrt.f64 (+.f64 x 1/3)) 2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 x 1/3)) 2) (cbrt.f64 (+.f64 x 1/3)))
(*.f64 (sqrt.f64 (+.f64 x 1/3)) (sqrt.f64 (+.f64 x 1/3)))
(.f64 (+.f64 (pow.f64 x 3) 1/27) (/.f64 1 (fma.f64 x x (-.f64 1/9 (.f64 x 1/3)))))
(.f64 (+.f64 (pow.f64 x 3) 1/27) (/.f64 1 (fma.f64 x x (+.f64 1/9 (.f64 x -1/3)))))
(*.f64 (/.f64 (fma.f64 x x -1/9) (fma.f64 x x -1/9)) (+.f64 x 1/3))
(.f64 (/.f64 (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 (fma.f64 x x -1/9) (+.f64 x -1/3))
(/.f64 1 (/.f64 (fma.f64 x x (-.f64 1/9 (*.f64 x 1/3))) (+.f64 (pow.f64 x 3) 1/27)))
(/.f64 1 (/.f64 (fma.f64 x x (+.f64 1/9 (*.f64 x -1/3))) (+.f64 (pow.f64 x 3) 1/27)))
(/.f64 1 (/.f64 (+.f64 x -1/3) (fma.f64 x x -1/9)))
(/.f64 (neg.f64 (fma.f64 x x -1/9)) (neg.f64 (+.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) (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 (neg.f64 (+.f64 (pow.f64 x 3) 1/27)) (neg.f64 (fma.f64 x x (-.f64 1/9 (*.f64 x 1/3)))))
(/.f64 (neg.f64 (+.f64 (pow.f64 x 3) 1/27)) (neg.f64 (fma.f64 x x (+.f64 1/9 (*.f64 x -1/3)))))
(/.f64 (/.f64 (fma.f64 x x -1/9) 1) (+.f64 x -1/3))
(/.f64 (-.f64 1/9 (pow.f64 x 2)) (-.f64 1/3 x))
(/.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) (sqrt.f64 (+.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) 3) 1/3)
(pow.f64 (sqrt.f64 (+.f64 x 1/3)) 2)
(sqrt.f64 (pow.f64 (+.f64 x 1/3) 2))
(log.f64 (exp.f64 (+.f64 x 1/3)))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 x 1/3))))
(cbrt.f64 (pow.f64 (+.f64 x 1/3) 3))
(expm1.f64 (log1p.f64 (+.f64 x 1/3)))
(exp.f64 (log.f64 (+.f64 x 1/3)))
(exp.f64 (*.f64 (log.f64 (+.f64 x 1/3)) 1))
(log1p.f64 (expm1.f64 (+.f64 x 1/3)))
(fma.f64 1 x 1/3)
(fma.f64 (cbrt.f64 (pow.f64 x 2)) (cbrt.f64 x) 1/3)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) 1/3)

simplify219.0ms (5.7%)

Algorithm

1×	egg-herbie

Rules

1204×	`log-prod`
948×	`times-frac`
722×	`fma-neg`
676×	`associate-r`
576×	`associate-l`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	663	13809
1	1531	12203
2	7406	12187

Stop Event

1×	node limit

Counts

498 → 427

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)
(log.f64 2/3)
(+.f64 (log.f64 2/3) (*.f64 3/2 x))
(+.f64 (log.f64 2/3) (+.f64 (.f64 -9/8 (pow.f64 x 2)) (.f64 3/2 x)))
(+.f64 (log.f64 2/3) (+.f64 (.f64 -9/8 (pow.f64 x 2)) (+.f64 (.f64 9/8 (pow.f64 x 3)) (*.f64 3/2 x))))
(*.f64 -1 (log.f64 (/.f64 1 x)))
(+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (.f64 2/3 (/.f64 1 x)))
(-.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (.f64 2/3 (/.f64 1 x))) (*.f64 2/9 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (+.f64 (.f64 8/81 (/.f64 1 (pow.f64 x 3))) (.f64 2/3 (/.f64 1 x)))) (.f64 2/9 (/.f64 1 (pow.f64 x 2))))
(+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 x))))
(+.f64 (log.f64 -1) (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (.f64 2/3 (/.f64 1 x))))
(-.f64 (+.f64 (log.f64 -1) (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (.f64 2/3 (/.f64 1 x)))) (*.f64 2/9 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (log.f64 -1) (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (+.f64 (.f64 8/81 (/.f64 1 (pow.f64 x 3))) (.f64 2/3 (/.f64 1 x))))) (.f64 2/9 (/.f64 1 (pow.f64 x 2))))
-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)))
1/3
(+.f64 1/3 x)
(+.f64 1/3 x)
(+.f64 1/3 x)
x
(+.f64 1/3 x)
(+.f64 1/3 x)
(+.f64 1/3 x)
x
(+.f64 1/3 x)
(+.f64 1/3 x)
(+.f64 1/3 x)
(+.f64 x -1/3)
(+.f64 -1/3 x)
(+.f64 (+.f64 2/3 x) -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 x 1/3)
(-.f64 (+.f64 2/3 x) 1)
(-.f64 (/.f64 (pow.f64 x 2) (+.f64 x 1/3)) (/.f64 1/9 (+.f64 x 1/3)))
(*.f64 (fma.f64 x x -1/9) (/.f64 1 (+.f64 x 1/3)))
(*.f64 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 x -1/3) 1)
(*.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 (cbrt.f64 (/.f64 1 (+.f64 x -1/3))) 2) -1) (pow.f64 (cbrt.f64 (/.f64 1 (+.f64 x -1/3))) -1))
(*.f64 (pow.f64 (sqrt.f64 (/.f64 1 (+.f64 x -1/3))) -1) (pow.f64 (sqrt.f64 (/.f64 1 (+.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 (/.f64 1 (+.f64 x 1/3)) 1) (fma.f64 x x -1/9))
(.f64 (.f64 (/.f64 1 (+.f64 x 1/3)) (pow.f64 (cbrt.f64 (fma.f64 x x -1/9)) 2)) (cbrt.f64 (fma.f64 x x -1/9)))
(.f64 (.f64 (/.f64 1 (+.f64 x 1/3)) (sqrt.f64 (fma.f64 x x -1/9))) (sqrt.f64 (fma.f64 x x -1/9)))
(.f64 (/.f64 (fma.f64 x x -1/9) (+.f64 (pow.f64 x 3) 1/27)) (fma.f64 x x (-.f64 1/9 (.f64 x 1/3))))
(.f64 (/.f64 (fma.f64 x x -1/9) (+.f64 (pow.f64 x 3) 1/27)) (fma.f64 x x (+.f64 1/9 (.f64 x -1/3))))
(*.f64 (/.f64 (fma.f64 x x -1/9) (fma.f64 x x -1/9)) (+.f64 x -1/3))
(*.f64 (/.f64 1 (+.f64 -1/3 (neg.f64 x))) (neg.f64 (fma.f64 x x -1/9)))
(/.f64 (fma.f64 x x -1/9) (+.f64 x 1/3))
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(log.f64 (exp.f64 (fma.f64 x x -1/9)))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 x x -1/9))))
(cbrt.f64 (pow.f64 (fma.f64 x x -1/9) 3))
(expm1.f64 (log1p.f64 (fma.f64 x x -1/9)))
(exp.f64 (log.f64 (fma.f64 x x -1/9)))
(exp.f64 (*.f64 (log.f64 (fma.f64 x x -1/9)) 1))
(log1p.f64 (expm1.f64 (fma.f64 x x -1/9)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (+.f64 (pow.f64 x 3) -1/27) (fma.f64 x (+.f64 x 1/3) 1/9)))) 1)
(*.f64 1 (/.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 (fma.f64 x (+.f64 x 1/3) 1/9)))
(*.f64 (/.f64 (+.f64 (pow.f64 x 3) -1/27) (fma.f64 x (+.f64 x 1/3) 1/9)) 1)
(*.f64 (cbrt.f64 (/.f64 (+.f64 (pow.f64 x 3) -1/27) (fma.f64 x (+.f64 x 1/3) 1/9))) (pow.f64 (cbrt.f64 (/.f64 (+.f64 (pow.f64 x 3) -1/27) (fma.f64 x (+.f64 x 1/3) 1/9))) 2))
(*.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 (+.f64 x 1/3)) x))
(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 x (+.f64 x 1/3) 1/9)
(fma.f64 (+.f64 x 1/3) x 1/9)
(fma.f64 1 (*.f64 x (+.f64 x 1/3)) 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 x 1/3)
(+.f64 1/3 x)
(*.f64 (+.f64 x 1/3) 1)
(*.f64 (fma.f64 x x -1/9) (/.f64 1 (+.f64 x -1/3)))
(*.f64 1 (+.f64 x 1/3))
(*.f64 (cbrt.f64 (+.f64 x 1/3)) (pow.f64 (cbrt.f64 (+.f64 x 1/3)) 2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 x 1/3)) 2) (cbrt.f64 (+.f64 x 1/3)))
(*.f64 (sqrt.f64 (+.f64 x 1/3)) (sqrt.f64 (+.f64 x 1/3)))
(.f64 (+.f64 (pow.f64 x 3) 1/27) (/.f64 1 (fma.f64 x x (-.f64 1/9 (.f64 x 1/3)))))
(.f64 (+.f64 (pow.f64 x 3) 1/27) (/.f64 1 (fma.f64 x x (+.f64 1/9 (.f64 x -1/3)))))
(*.f64 (/.f64 (fma.f64 x x -1/9) (fma.f64 x x -1/9)) (+.f64 x 1/3))
(.f64 (/.f64 (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 (fma.f64 x x -1/9) (+.f64 x -1/3))
(/.f64 1 (/.f64 (fma.f64 x x (-.f64 1/9 (*.f64 x 1/3))) (+.f64 (pow.f64 x 3) 1/27)))
(/.f64 1 (/.f64 (fma.f64 x x (+.f64 1/9 (*.f64 x -1/3))) (+.f64 (pow.f64 x 3) 1/27)))
(/.f64 1 (/.f64 (+.f64 x -1/3) (fma.f64 x x -1/9)))
(/.f64 (neg.f64 (fma.f64 x x -1/9)) (neg.f64 (+.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) (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 (neg.f64 (+.f64 (pow.f64 x 3) 1/27)) (neg.f64 (fma.f64 x x (-.f64 1/9 (*.f64 x 1/3)))))
(/.f64 (neg.f64 (+.f64 (pow.f64 x 3) 1/27)) (neg.f64 (fma.f64 x x (+.f64 1/9 (*.f64 x -1/3)))))
(/.f64 (/.f64 (fma.f64 x x -1/9) 1) (+.f64 x -1/3))
(/.f64 (-.f64 1/9 (pow.f64 x 2)) (-.f64 1/3 x))
(/.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) (sqrt.f64 (+.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) 3) 1/3)
(pow.f64 (sqrt.f64 (+.f64 x 1/3)) 2)
(sqrt.f64 (pow.f64 (+.f64 x 1/3) 2))
(log.f64 (exp.f64 (+.f64 x 1/3)))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 x 1/3))))
(cbrt.f64 (pow.f64 (+.f64 x 1/3) 3))
(expm1.f64 (log1p.f64 (+.f64 x 1/3)))
(exp.f64 (log.f64 (+.f64 x 1/3)))
(exp.f64 (*.f64 (log.f64 (+.f64 x 1/3)) 1))
(log1p.f64 (expm1.f64 (+.f64 x 1/3)))
(fma.f64 1 x 1/3)
(fma.f64 (cbrt.f64 (pow.f64 x 2)) (cbrt.f64 x) 1/3)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) 1/3)

Outputs
-1/3
(-.f64 x 1/3)
(+.f64 -1/3 x)
(-.f64 x 1/3)
(+.f64 -1/3 x)
(-.f64 x 1/3)
(+.f64 -1/3 x)
x
(-.f64 x 1/3)
(+.f64 -1/3 x)
(-.f64 x 1/3)
(+.f64 -1/3 x)
(-.f64 x 1/3)
(+.f64 -1/3 x)
x
(-.f64 x 1/3)
(+.f64 -1/3 x)
(-.f64 x 1/3)
(+.f64 -1/3 x)
(-.f64 x 1/3)
(+.f64 -1/3 x)
(log.f64 2/3)
(+.f64 (log.f64 2/3) (*.f64 3/2 x))
(+.f64 (log.f64 2/3) (*.f64 x 3/2))
(fma.f64 x 3/2 (log.f64 2/3))
(+.f64 (log.f64 2/3) (+.f64 (.f64 -9/8 (pow.f64 x 2)) (.f64 3/2 x)))
(+.f64 (log.f64 2/3) (fma.f64 -9/8 (pow.f64 x 2) (*.f64 x 3/2)))
(+.f64 (log.f64 2/3) (fma.f64 x 3/2 (*.f64 -9/8 (pow.f64 x 2))))
(+.f64 (log.f64 2/3) (+.f64 (.f64 -9/8 (pow.f64 x 2)) (+.f64 (.f64 9/8 (pow.f64 x 3)) (*.f64 3/2 x))))
(+.f64 (log.f64 2/3) (fma.f64 -9/8 (pow.f64 x 2) (fma.f64 9/8 (pow.f64 x 3) (*.f64 x 3/2))))
(+.f64 (fma.f64 -9/8 (pow.f64 x 2) (*.f64 9/8 (pow.f64 x 3))) (fma.f64 x 3/2 (log.f64 2/3)))
(*.f64 -1 (log.f64 (/.f64 1 x)))
(neg.f64 (neg.f64 (log.f64 x)))
(log.f64 x)
(+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (.f64 2/3 (/.f64 1 x)))
(fma.f64 -1 (neg.f64 (log.f64 x)) (/.f64 2/3 x))
(+.f64 (log.f64 x) (/.f64 2/3 x))
(-.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (.f64 2/3 (/.f64 1 x))) (*.f64 2/9 (/.f64 1 (pow.f64 x 2))))
(-.f64 (fma.f64 -1 (neg.f64 (log.f64 x)) (/.f64 2/3 x)) (/.f64 2/9 (pow.f64 x 2)))
(+.f64 (log.f64 x) (+.f64 (/.f64 2/3 x) (/.f64 -2/9 (pow.f64 x 2))))
(-.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (+.f64 (.f64 8/81 (/.f64 1 (pow.f64 x 3))) (.f64 2/3 (/.f64 1 x)))) (.f64 2/9 (/.f64 1 (pow.f64 x 2))))
(-.f64 (fma.f64 -1 (neg.f64 (log.f64 x)) (+.f64 (/.f64 2/3 x) (/.f64 8/81 (pow.f64 x 3)))) (/.f64 2/9 (pow.f64 x 2)))
(+.f64 (log.f64 x) (+.f64 (/.f64 2/3 x) (-.f64 (/.f64 8/81 (pow.f64 x 3)) (/.f64 2/9 (pow.f64 x 2)))))
(+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 x))))
(+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 x))))
(-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))
(+.f64 (log.f64 -1) (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (.f64 2/3 (/.f64 1 x))))
(+.f64 (log.f64 -1) (fma.f64 -1 (log.f64 (/.f64 -1 x)) (/.f64 2/3 x)))
(+.f64 (/.f64 2/3 x) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))))
(-.f64 (+.f64 (log.f64 -1) (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (.f64 2/3 (/.f64 1 x)))) (*.f64 2/9 (/.f64 1 (pow.f64 x 2))))
(+.f64 (log.f64 -1) (-.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (/.f64 2/3 x)) (/.f64 2/9 (pow.f64 x 2))))
(+.f64 (log.f64 -1) (+.f64 (-.f64 (/.f64 2/3 x) (log.f64 (/.f64 -1 x))) (/.f64 -2/9 (pow.f64 x 2))))
(-.f64 (+.f64 (log.f64 -1) (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (+.f64 (.f64 8/81 (/.f64 1 (pow.f64 x 3))) (.f64 2/3 (/.f64 1 x))))) (.f64 2/9 (/.f64 1 (pow.f64 x 2))))
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1/3
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x
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(/.f64 (-.f64 -1/729 (pow.f64 (.f64 x (+.f64 x 1/3)) 3)) (fma.f64 (fma.f64 x (+.f64 x 1/3) -1/9) (.f64 x (-.f64 -1/3 x)) -1/81))
(/.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) (fma.f64 x (+.f64 x 1/3) -1/9))
(/.f64 (-.f64 (pow.f64 (.f64 x (+.f64 x 1/3)) 2) 1/81) (-.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) (fma.f64 x (+.f64 x 1/3) -1/9))
(pow.f64 (fma.f64 x (+.f64 x 1/3) 1/9) 1)
(fma.f64 x (+.f64 x 1/3) 1/9)
(pow.f64 (cbrt.f64 (fma.f64 x (+.f64 x 1/3) 1/9)) 3)
(fma.f64 x (+.f64 x 1/3) 1/9)
(pow.f64 (pow.f64 (fma.f64 x (+.f64 x 1/3) 1/9) 3) 1/3)
(fma.f64 x (+.f64 x 1/3) 1/9)
(pow.f64 (sqrt.f64 (fma.f64 x (+.f64 x 1/3) 1/9)) 2)
(fma.f64 x (+.f64 x 1/3) 1/9)
(sqrt.f64 (pow.f64 (fma.f64 x (+.f64 x 1/3) 1/9) 2))
(fabs.f64 (fma.f64 x (+.f64 x 1/3) 1/9))
(log.f64 (exp.f64 (fma.f64 x (+.f64 x 1/3) 1/9)))
(fma.f64 x (+.f64 x 1/3) 1/9)
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 x (+.f64 x 1/3) 1/9))))
(fma.f64 x (+.f64 x 1/3) 1/9)
(cbrt.f64 (pow.f64 (fma.f64 x (+.f64 x 1/3) 1/9) 3))
(fma.f64 x (+.f64 x 1/3) 1/9)
(expm1.f64 (log1p.f64 (fma.f64 x (+.f64 x 1/3) 1/9)))
(fma.f64 x (+.f64 x 1/3) 1/9)
(exp.f64 (log.f64 (fma.f64 x (+.f64 x 1/3) 1/9)))
(fma.f64 x (+.f64 x 1/3) 1/9)
(exp.f64 (*.f64 (log.f64 (fma.f64 x (+.f64 x 1/3) 1/9)) 1))
(fma.f64 x (+.f64 x 1/3) 1/9)
(log1p.f64 (expm1.f64 (fma.f64 x (+.f64 x 1/3) 1/9)))
(fma.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 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 (pow.f64 (cbrt.f64 (.f64 x (+.f64 x 1/3))) 2) (cbrt.f64 (.f64 x (+.f64 x 1/3))) 1/9)
(fma.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)
(fma.f64 x (+.f64 x 1/3) 1/9)
(+.f64 x 1/3)
(+.f64 1/3 x)
(+.f64 x 1/3)
(*.f64 (+.f64 x 1/3) 1)
(+.f64 x 1/3)
(*.f64 (fma.f64 x x -1/9) (/.f64 1 (+.f64 x -1/3)))
(-.f64 (/.f64 (pow.f64 x 2) (+.f64 -1/3 x)) (/.f64 1/9 (+.f64 -1/3 x)))
(/.f64 (fma.f64 x x -1/9) (+.f64 -1/3 x))
(*.f64 1 (+.f64 x 1/3))
(+.f64 x 1/3)
(*.f64 (cbrt.f64 (+.f64 x 1/3)) (pow.f64 (cbrt.f64 (+.f64 x 1/3)) 2))
(+.f64 x 1/3)
(*.f64 (pow.f64 (cbrt.f64 (+.f64 x 1/3)) 2) (cbrt.f64 (+.f64 x 1/3)))
(+.f64 x 1/3)
(*.f64 (sqrt.f64 (+.f64 x 1/3)) (sqrt.f64 (+.f64 x 1/3)))
(+.f64 x 1/3)
(.f64 (+.f64 (pow.f64 x 3) 1/27) (/.f64 1 (fma.f64 x x (-.f64 1/9 (.f64 x 1/3)))))
(/.f64 (.f64 (+.f64 (pow.f64 x 3) 1/27) 1) (fma.f64 x x (-.f64 1/9 (.f64 x 1/3))))
(/.f64 (+.f64 (pow.f64 x 3) 1/27) (+.f64 1/9 (*.f64 x (+.f64 -1/3 x))))
(.f64 (+.f64 (pow.f64 x 3) 1/27) (/.f64 1 (fma.f64 x x (+.f64 1/9 (.f64 x -1/3)))))
(/.f64 (.f64 (+.f64 (pow.f64 x 3) 1/27) 1) (fma.f64 x x (-.f64 1/9 (.f64 x 1/3))))
(/.f64 (+.f64 (pow.f64 x 3) 1/27) (+.f64 1/9 (*.f64 x (+.f64 -1/3 x))))
(*.f64 (/.f64 (fma.f64 x x -1/9) (fma.f64 x x -1/9)) (+.f64 x 1/3))
(+.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 (.f64 (fma.f64 x x -1/9) (fma.f64 x x (-.f64 1/9 (.f64 -1/3 x)))) (+.f64 (pow.f64 x 3) -1/27))
(*.f64 (/.f64 (fma.f64 x x -1/9) (+.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 -1/3 x)) (/.f64 1/9 (+.f64 -1/3 x)))
(/.f64 (fma.f64 x x -1/9) (+.f64 -1/3 x))
(/.f64 1 (/.f64 (fma.f64 x x (-.f64 1/9 (*.f64 x 1/3))) (+.f64 (pow.f64 x 3) 1/27)))
(/.f64 (.f64 (+.f64 (pow.f64 x 3) 1/27) 1) (fma.f64 x x (-.f64 1/9 (.f64 x 1/3))))
(/.f64 (+.f64 (pow.f64 x 3) 1/27) (+.f64 1/9 (*.f64 x (+.f64 -1/3 x))))
(/.f64 1 (/.f64 (fma.f64 x x (+.f64 1/9 (*.f64 x -1/3))) (+.f64 (pow.f64 x 3) 1/27)))
(/.f64 (.f64 (+.f64 (pow.f64 x 3) 1/27) 1) (fma.f64 x x (-.f64 1/9 (.f64 x 1/3))))
(/.f64 (+.f64 (pow.f64 x 3) 1/27) (+.f64 1/9 (*.f64 x (+.f64 -1/3 x))))
(/.f64 1 (/.f64 (+.f64 x -1/3) (fma.f64 x x -1/9)))
(-.f64 (/.f64 (pow.f64 x 2) (+.f64 -1/3 x)) (/.f64 1/9 (+.f64 -1/3 x)))
(/.f64 (fma.f64 x x -1/9) (+.f64 -1/3 x))
(/.f64 (neg.f64 (fma.f64 x x -1/9)) (neg.f64 (+.f64 x -1/3)))
(-.f64 (/.f64 (pow.f64 x 2) (+.f64 -1/3 x)) (/.f64 1/9 (+.f64 -1/3 x)))
(/.f64 (fma.f64 x x -1/9) (+.f64 -1/3 x))
(/.f64 (+.f64 (pow.f64 x 3) 1/27) (fma.f64 x x (-.f64 1/9 (*.f64 x 1/3))))
(/.f64 (.f64 (+.f64 (pow.f64 x 3) 1/27) 1) (fma.f64 x x (-.f64 1/9 (.f64 x 1/3))))
(/.f64 (+.f64 (pow.f64 x 3) 1/27) (+.f64 1/9 (*.f64 x (+.f64 -1/3 x))))
(/.f64 (+.f64 (pow.f64 x 3) 1/27) (fma.f64 x x (+.f64 1/9 (*.f64 x -1/3))))
(/.f64 (.f64 (+.f64 (pow.f64 x 3) 1/27) 1) (fma.f64 x x (-.f64 1/9 (.f64 x 1/3))))
(/.f64 (+.f64 (pow.f64 x 3) 1/27) (+.f64 1/9 (*.f64 x (+.f64 -1/3 x))))
(/.f64 (+.f64 (pow.f64 x 3) 1/27) (+.f64 1/9 (-.f64 (pow.f64 x 2) (*.f64 x 1/3))))
(/.f64 (.f64 (+.f64 (pow.f64 x 3) 1/27) 1) (fma.f64 x x (-.f64 1/9 (.f64 x 1/3))))
(/.f64 (+.f64 (pow.f64 x 3) 1/27) (+.f64 1/9 (*.f64 x (+.f64 -1/3 x))))
(/.f64 (neg.f64 (+.f64 (pow.f64 x 3) 1/27)) (neg.f64 (fma.f64 x x (-.f64 1/9 (*.f64 x 1/3)))))
(/.f64 (+.f64 (neg.f64 (pow.f64 x 3)) -1/27) (neg.f64 (fma.f64 x x (-.f64 1/9 (*.f64 x 1/3)))))
(/.f64 (-.f64 -1/27 (pow.f64 x 3)) (neg.f64 (+.f64 1/9 (*.f64 x (+.f64 -1/3 x)))))
(/.f64 (neg.f64 (+.f64 (pow.f64 x 3) 1/27)) (neg.f64 (fma.f64 x x (+.f64 1/9 (*.f64 x -1/3)))))
(/.f64 (+.f64 (neg.f64 (pow.f64 x 3)) -1/27) (neg.f64 (fma.f64 x x (-.f64 1/9 (*.f64 x 1/3)))))
(/.f64 (-.f64 -1/27 (pow.f64 x 3)) (neg.f64 (+.f64 1/9 (*.f64 x (+.f64 -1/3 x)))))
(/.f64 (/.f64 (fma.f64 x x -1/9) 1) (+.f64 x -1/3))
(-.f64 (/.f64 (pow.f64 x 2) (+.f64 -1/3 x)) (/.f64 1/9 (+.f64 -1/3 x)))
(/.f64 (fma.f64 x x -1/9) (+.f64 -1/3 x))
(/.f64 (-.f64 1/9 (pow.f64 x 2)) (-.f64 1/3 x))
(-.f64 (/.f64 (pow.f64 x 2) (+.f64 -1/3 x)) (/.f64 1/9 (+.f64 -1/3 x)))
(/.f64 (fma.f64 x x -1/9) (+.f64 -1/3 x))
(/.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 (pow.f64 x 2) (+.f64 -1/3 x)) (/.f64 1/9 (+.f64 -1/3 x)))
(/.f64 (fma.f64 x x -1/9) (+.f64 -1/3 x))
(/.f64 (/.f64 (fma.f64 x x -1/9) (sqrt.f64 (+.f64 x -1/3))) (sqrt.f64 (+.f64 x -1/3)))
(-.f64 (/.f64 (pow.f64 x 2) (+.f64 -1/3 x)) (/.f64 1/9 (+.f64 -1/3 x)))
(/.f64 (fma.f64 x x -1/9) (+.f64 -1/3 x))
(pow.f64 (+.f64 x 1/3) 1)
(+.f64 x 1/3)
(pow.f64 (cbrt.f64 (+.f64 x 1/3)) 3)
(+.f64 x 1/3)
(pow.f64 (pow.f64 (+.f64 x 1/3) 3) 1/3)
(+.f64 x 1/3)
(pow.f64 (sqrt.f64 (+.f64 x 1/3)) 2)
(+.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)))
(+.f64 x 1/3)
(log.f64 (+.f64 1 (expm1.f64 (+.f64 x 1/3))))
(+.f64 x 1/3)
(cbrt.f64 (pow.f64 (+.f64 x 1/3) 3))
(+.f64 x 1/3)
(expm1.f64 (log1p.f64 (+.f64 x 1/3)))
(+.f64 x 1/3)
(exp.f64 (log.f64 (+.f64 x 1/3)))
(+.f64 x 1/3)
(exp.f64 (*.f64 (log.f64 (+.f64 x 1/3)) 1))
(+.f64 x 1/3)
(log1p.f64 (expm1.f64 (+.f64 x 1/3)))
(+.f64 x 1/3)
(fma.f64 1 x 1/3)
(+.f64 x 1/3)
(fma.f64 (cbrt.f64 (pow.f64 x 2)) (cbrt.f64 x) 1/3)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) 1/3)
(+.f64 x 1/3)

eval214.0ms (5.6%)

Compiler: Compiled 8406 to 6630 computations (21.1% saved)

prune75.0ms (2%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	540	2	542
Fresh	0	2	2
Picked	3	0	3
Done	0	1	1
Total	543	5	548

Accuracy

100.0%

Counts

548 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	50.9%	(/.f64 (+.f64 (pow.f64 x 3) -1/27) (+.f64 1/9 (*.f64 x 1/3)))
▶	99.2%	(-.f64 (+.f64 2/3 x) 1)
✓	100.0%	(+.f64 x -1/3)
	51.1%	x
	50.5%	-1/3
▶	50.9%	(/.f64 (+.f64 (pow.f64 x 3) -1/27) (+.f64 1/9 (*.f64 x 1/3)))
▶	99.2%	(-.f64 (+.f64 2/3 x) 1)
✓	100.0%	(+.f64 x -1/3)
	51.1%	x
	50.5%	-1/3

Compiler

Compiled 52 to 42 computations (19.2% saved)

localize182.0ms (4.8%)

Localize:

Found 6 expressions with local error:

New	Accuracy	Program
✓	100.0%	(+.f64 (pow.f64 x 3) -1/27)
✓	100.0%	(+.f64 1/9 (*.f64 x 1/3))
✓	99.5%	(*.f64 x 1/3)
✓	92.0%	(/.f64 (+.f64 (pow.f64 x 3) -1/27) (+.f64 1/9 (*.f64 x 1/3)))
✓	100.0%	(+.f64 2/3 x)
✓	99.2%	(-.f64 (+.f64 2/3 x) 1)

Compiler

Compiled 45 to 35 computations (22.2% saved)

Precisions

Click to see histograms

Operation ival-sub, total time spent: 2.0ms

Operation ival-pow, total time spent: 15.0ms

Operation ival-mult, total time spent: 5.0ms

Operation ival-div, total time spent: 2.0ms

Operation ival-add, total time spent: 10.0ms

Operation const, total time spent: 4.0ms

series3.0ms (0.1%)

Counts

6 → 63

Calls

18 calls:

Time	Variable		Point	Expression
0.0ms	x	@	-inf	(*.f64 x 1/3)
0.0ms	x	@	inf	(*.f64 x 1/3)
0.0ms	x	@	inf	(/.f64 (+.f64 (pow.f64 x 3) -1/27) (+.f64 1/9 (*.f64 x 1/3)))
0.0ms	x	@	0	(*.f64 x 1/3)
0.0ms	x	@	-inf	(/.f64 (+.f64 (pow.f64 x 3) -1/27) (+.f64 1/9 (*.f64 x 1/3)))

rewrite137.0ms (3.6%)

Algorithm

1×	batch-egg-rewrite

Rules

814×	`log1p-expm1-u`
814×	`expm1-log1p-u`
810×	`fma-def`
810×	`prod-diff`
378×	`log1p-udef`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	18	105
1	240	91
2	3352	91

Stop Event

1×	node limit

Counts

6 → 222

Calls

Call 1

Inputs
(-.f64 (+.f64 2/3 x) 1)
(+.f64 2/3 x)
(/.f64 (+.f64 (pow.f64 x 3) -1/27) (+.f64 1/9 (*.f64 x 1/3)))
(*.f64 x 1/3)
(+.f64 1/9 (*.f64 x 1/3))
(+.f64 (pow.f64 x 3) -1/27)

Outputs
(+.f64 2/3 (+.f64 x -1))
(+.f64 2/3 (*.f64 (+.f64 x -1) 1))
(+.f64 x -1/3)
(+.f64 (+.f64 2/3 x) -1)
(+.f64 -1 (+.f64 2/3 x))
(+.f64 (+.f64 x -1) 2/3)
(*.f64 1 (+.f64 x -1/3))
(*.f64 (+.f64 x -1/3) 1)
(*.f64 (cbrt.f64 (+.f64 x -1/3)) (pow.f64 (cbrt.f64 (+.f64 x -1/3)) 2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 x -1/3)) 2) (cbrt.f64 (+.f64 x -1/3)))
(*.f64 (sqrt.f64 (+.f64 x -1/3)) (sqrt.f64 (+.f64 x -1/3)))
(*.f64 (+.f64 (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 (+.f64 (pow.f64 (+.f64 2/3 x) 2) -1) (+.f64 x 5/3))
(/.f64 (+.f64 (pow.f64 (+.f64 2/3 x) 2) -1) (-.f64 (+.f64 2/3 x) -1))
(/.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 8/27 (pow.f64 (+.f64 x -1) 3)) (+.f64 4/9 (-.f64 (.f64 (+.f64 x -1) (+.f64 x -1)) (.f64 2/3 (+.f64 x -1)))))
(/.f64 (-.f64 4/9 (*.f64 (+.f64 x -1) (+.f64 x -1))) (-.f64 2/3 (+.f64 x -1)))
(pow.f64 (+.f64 x -1/3) 1)
(pow.f64 (cbrt.f64 (+.f64 x -1/3)) 3)
(pow.f64 (pow.f64 (+.f64 x -1/3) 3) 1/3)
(pow.f64 (sqrt.f64 (+.f64 x -1/3)) 2)
(sqrt.f64 (pow.f64 (+.f64 x -1/3) 2))
(log.f64 (exp.f64 (+.f64 x -1/3)))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 x -1/3))))
(cbrt.f64 (pow.f64 (+.f64 x -1/3) 3))
(expm1.f64 (log.f64 (+.f64 2/3 x)))
(expm1.f64 (*.f64 (log.f64 (+.f64 2/3 x)) 1))
(exp.f64 (log.f64 (+.f64 x -1/3)))
(exp.f64 (*.f64 (log.f64 (+.f64 x -1/3)) 1))
(log1p.f64 (expm1.f64 (+.f64 x -1/3)))
(fma.f64 x 1 -1/3)
(fma.f64 (+.f64 2/3 x) 1 -1)
(fma.f64 1 x -1/3)
(fma.f64 1 (+.f64 2/3 x) -1)
(fma.f64 1 (+.f64 x -1) 2/3)
(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 (fma.f64 x (-.f64 x 2/3) 4/9)) -1)
(fma.f64 (-.f64 4/9 (pow.f64 x 2)) (/.f64 1 (-.f64 2/3 x)) -1)
(fma.f64 (*.f64 (cbrt.f64 (+.f64 x -1)) (cbrt.f64 (+.f64 x -1))) (cbrt.f64 (+.f64 x -1)) 2/3)
(fma.f64 (sqrt.f64 (+.f64 x -1)) (sqrt.f64 (+.f64 x -1)) 2/3)
(fma.f64 (+.f64 (sqrt.f64 x) 1) (-.f64 (sqrt.f64 x) 1) 2/3)
(-.f64 (+.f64 x 5/3) 1)
(-.f64 (/.f64 4/9 (-.f64 2/3 x)) (/.f64 (pow.f64 x 2) (-.f64 2/3 x)))
(*.f64 (+.f64 2/3 x) 1)
(*.f64 1 (+.f64 2/3 x))
(*.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 (fma.f64 x (-.f64 x 2/3) 4/9)))
(*.f64 (-.f64 4/9 (pow.f64 x 2)) (/.f64 1 (-.f64 2/3 x)))
(/.f64 1 (/.f64 (fma.f64 x (-.f64 x 2/3) 4/9) (+.f64 (pow.f64 x 3) 8/27)))
(/.f64 1 (/.f64 (-.f64 2/3 x) (-.f64 4/9 (pow.f64 x 2))))
(/.f64 (+.f64 (pow.f64 x 3) 8/27) (fma.f64 x (-.f64 x 2/3) 4/9))
(/.f64 (+.f64 (pow.f64 x 3) 8/27) (fma.f64 x x (-.f64 4/9 (*.f64 2/3 x))))
(/.f64 (-.f64 4/9 (pow.f64 x 2)) (-.f64 2/3 x))
(/.f64 (neg.f64 (+.f64 (pow.f64 x 3) 8/27)) (neg.f64 (fma.f64 x (-.f64 x 2/3) 4/9)))
(/.f64 (neg.f64 (-.f64 4/9 (pow.f64 x 2))) (neg.f64 (-.f64 2/3 x)))
(/.f64 (-.f64 (pow.f64 x 2) 4/9) (-.f64 x 2/3))
(/.f64 (*.f64 (+.f64 (pow.f64 x 3) 8/27) 1) (fma.f64 x (-.f64 x 2/3) 4/9))
(/.f64 (*.f64 (-.f64 4/9 (pow.f64 x 2)) 1) (-.f64 2/3 x))
(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)))
(exp.f64 (*.f64 (log.f64 (+.f64 2/3 x)) 1))
(log1p.f64 (expm1.f64 (+.f64 2/3 x)))
(fma.f64 x 1 2/3)
(fma.f64 1 x 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)
(-.f64 (exp.f64 (log1p.f64 (/.f64 (+.f64 (pow.f64 x 3) -1/27) (fma.f64 x 1/3 1/9)))) 1)
(*.f64 1 (/.f64 (+.f64 (pow.f64 x 3) -1/27) (fma.f64 x 1/3 1/9)))
(*.f64 (+.f64 (pow.f64 x 3) -1/27) (/.f64 1 (fma.f64 x 1/3 1/9)))
(*.f64 (/.f64 (+.f64 (pow.f64 x 3) -1/27) (fma.f64 x 1/3 1/9)) 1)
(*.f64 (cbrt.f64 (/.f64 (+.f64 (pow.f64 x 3) -1/27) (fma.f64 x 1/3 1/9))) (pow.f64 (cbrt.f64 (/.f64 (+.f64 (pow.f64 x 3) -1/27) (fma.f64 x 1/3 1/9))) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 (pow.f64 x 3) -1/27) (fma.f64 x 1/3 1/9))) 2) (cbrt.f64 (/.f64 (+.f64 (pow.f64 x 3) -1/27) (fma.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 1/3 1/9))))
(*.f64 (sqrt.f64 (/.f64 (+.f64 (pow.f64 x 3) -1/27) (fma.f64 x 1/3 1/9))) (sqrt.f64 (/.f64 (+.f64 (pow.f64 x 3) -1/27) (fma.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 1/3 1/9))))
(*.f64 (+.f64 1/27 (neg.f64 (pow.f64 x 3))) (/.f64 1 (neg.f64 (fma.f64 x 1/3 1/9))))
(*.f64 (/.f64 1 (fma.f64 x 1/3 1/9)) (+.f64 (pow.f64 x 3) -1/27))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (fma.f64 x 1/3 1/9)) 2)) (/.f64 (+.f64 (pow.f64 x 3) -1/27) (cbrt.f64 (fma.f64 x 1/3 1/9))))
(*.f64 (/.f64 1 (sqrt.f64 (fma.f64 x 1/3 1/9))) (/.f64 (+.f64 (pow.f64 x 3) -1/27) (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)) (fma.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 1/3 1/9)) 2)) (cbrt.f64 (/.f64 (+.f64 (pow.f64 x 3) -1/27) (fma.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 1/3 1/9))) (/.f64 (cbrt.f64 (+.f64 (pow.f64 x 3) -1/27)) (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)) (fma.f64 x 1/3 1/9)))
(*.f64 (/.f64 (sqrt.f64 (+.f64 (pow.f64 x 3) -1/27)) (pow.f64 (cbrt.f64 (fma.f64 x 1/3 1/9)) 2)) (/.f64 (sqrt.f64 (+.f64 (pow.f64 x 3) -1/27)) (cbrt.f64 (fma.f64 x 1/3 1/9))))
(.f64 (/.f64 (+.f64 (pow.f64 x 3) -1/27) (fma.f64 (pow.f64 x 3) 1/27 1/729)) (fma.f64 (.f64 x 1/3) (-.f64 (*.f64 x 1/3) 1/9) 1/81))
(.f64 (/.f64 (+.f64 (pow.f64 x 3) -1/27) (-.f64 1/81 (.f64 1/9 (pow.f64 x 2)))) (-.f64 1/9 (*.f64 x 1/3)))
(pow.f64 (/.f64 (+.f64 (pow.f64 x 3) -1/27) (fma.f64 x 1/3 1/9)) 1)
(pow.f64 (cbrt.f64 (/.f64 (+.f64 (pow.f64 x 3) -1/27) (fma.f64 x 1/3 1/9))) 3)
(pow.f64 (pow.f64 (/.f64 (+.f64 (pow.f64 x 3) -1/27) (fma.f64 x 1/3 1/9)) 3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 (+.f64 (pow.f64 x 3) -1/27) (fma.f64 x 1/3 1/9))) 2)
(pow.f64 (/.f64 (fma.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 1/3 1/9))))
(sqrt.f64 (pow.f64 (/.f64 (+.f64 (pow.f64 x 3) -1/27) (fma.f64 x 1/3 1/9)) 2))
(log.f64 (exp.f64 (/.f64 (+.f64 (pow.f64 x 3) -1/27) (fma.f64 x 1/3 1/9))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (+.f64 (pow.f64 x 3) -1/27) (fma.f64 x 1/3 1/9)))))
(cbrt.f64 (pow.f64 (/.f64 (+.f64 (pow.f64 x 3) -1/27) (fma.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 1/3 1/9) 3)))
(expm1.f64 (log1p.f64 (/.f64 (+.f64 (pow.f64 x 3) -1/27) (fma.f64 x 1/3 1/9))))
(exp.f64 (log.f64 (/.f64 (+.f64 (pow.f64 x 3) -1/27) (fma.f64 x 1/3 1/9))))
(exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 (pow.f64 x 3) -1/27) (fma.f64 x 1/3 1/9))) 1))
(log1p.f64 (expm1.f64 (/.f64 (+.f64 (pow.f64 x 3) -1/27) (fma.f64 x 1/3 1/9))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x 1/3))) 1)
(pow.f64 (*.f64 x 1/3) 1)
(pow.f64 (cbrt.f64 (*.f64 x 1/3)) 3)
(pow.f64 (pow.f64 (*.f64 x 1/3) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 x 1/3)) 2)
(sqrt.f64 (*.f64 1/9 (pow.f64 x 2)))
(log.f64 (pow.f64 (exp.f64 1/3) x))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 x 1/3))))
(cbrt.f64 (pow.f64 (*.f64 x 1/3) 3))
(expm1.f64 (log1p.f64 (*.f64 x 1/3)))
(exp.f64 (log.f64 (*.f64 x 1/3)))
(exp.f64 (.f64 (log.f64 (.f64 x 1/3)) 1))
(log1p.f64 (expm1.f64 (*.f64 x 1/3)))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 x 1/3 1/9))) 1)
(-.f64 (/.f64 1/81 (-.f64 1/9 (.f64 x 1/3))) (/.f64 (.f64 1/9 (pow.f64 x 2)) (-.f64 1/9 (*.f64 x 1/3))))
(*.f64 1 (fma.f64 x 1/3 1/9))
(*.f64 (fma.f64 x 1/3 1/9) 1)
(*.f64 (cbrt.f64 (fma.f64 x 1/3 1/9)) (pow.f64 (cbrt.f64 (fma.f64 x 1/3 1/9)) 2))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 x 1/3 1/9)) 2) (cbrt.f64 (fma.f64 x 1/3 1/9)))
(*.f64 (sqrt.f64 (fma.f64 x 1/3 1/9)) (sqrt.f64 (fma.f64 x 1/3 1/9)))
(.f64 (fma.f64 (pow.f64 x 3) 1/27 1/729) (/.f64 1 (fma.f64 (.f64 x 1/3) (-.f64 (*.f64 x 1/3) 1/9) 1/81)))
(.f64 (-.f64 1/81 (.f64 1/9 (pow.f64 x 2))) (/.f64 1 (-.f64 1/9 (*.f64 x 1/3))))
(/.f64 1 (/.f64 (fma.f64 (.f64 x 1/3) (-.f64 (.f64 x 1/3) 1/9) 1/81) (fma.f64 (pow.f64 x 3) 1/27 1/729)))
(/.f64 1 (/.f64 (-.f64 1/9 (.f64 x 1/3)) (-.f64 1/81 (.f64 1/9 (pow.f64 x 2)))))
(/.f64 (fma.f64 (pow.f64 x 3) 1/27 1/729) (fma.f64 (.f64 x 1/3) (-.f64 (.f64 x 1/3) 1/9) 1/81))
(/.f64 (fma.f64 (pow.f64 x 3) 1/27 1/729) (fma.f64 1/9 (pow.f64 x 2) (-.f64 1/81 (*.f64 1/27 x))))
(/.f64 (-.f64 1/81 (.f64 1/9 (pow.f64 x 2))) (-.f64 1/9 (.f64 x 1/3)))
(/.f64 (neg.f64 (fma.f64 (pow.f64 x 3) 1/27 1/729)) (neg.f64 (fma.f64 (.f64 x 1/3) (-.f64 (.f64 x 1/3) 1/9) 1/81)))
(/.f64 (neg.f64 (-.f64 1/81 (.f64 1/9 (pow.f64 x 2)))) (neg.f64 (-.f64 1/9 (.f64 x 1/3))))
(/.f64 (-.f64 (.f64 1/9 (pow.f64 x 2)) 1/81) (-.f64 (.f64 x 1/3) 1/9))
(pow.f64 (fma.f64 x 1/3 1/9) 1)
(pow.f64 (cbrt.f64 (fma.f64 x 1/3 1/9)) 3)
(pow.f64 (pow.f64 (fma.f64 x 1/3 1/9) 3) 1/3)
(pow.f64 (sqrt.f64 (fma.f64 x 1/3 1/9)) 2)
(sqrt.f64 (pow.f64 (fma.f64 x 1/3 1/9) 2))
(log.f64 (exp.f64 (fma.f64 x 1/3 1/9)))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 x 1/3 1/9))))
(cbrt.f64 (pow.f64 (fma.f64 x 1/3 1/9) 3))
(expm1.f64 (log1p.f64 (fma.f64 x 1/3 1/9)))
(exp.f64 (log.f64 (fma.f64 x 1/3 1/9)))
(exp.f64 (*.f64 (log.f64 (fma.f64 x 1/3 1/9)) 1))
(log1p.f64 (expm1.f64 (fma.f64 x 1/3 1/9)))
(fma.f64 x 1/3 1/9)
(fma.f64 1 (*.f64 x 1/3) 1/9)
(fma.f64 1/3 x 1/9)
(fma.f64 (*.f64 x 1/3) 1 1/9)
(fma.f64 (cbrt.f64 (.f64 x 1/3)) (pow.f64 (cbrt.f64 (.f64 x 1/3)) 2) 1/9)
(fma.f64 (pow.f64 (cbrt.f64 (.f64 x 1/3)) 2) (cbrt.f64 (.f64 x 1/3)) 1/9)
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) 1/3) 1/9)
(fma.f64 (sqrt.f64 (.f64 x 1/3)) (sqrt.f64 (.f64 x 1/3)) 1/9)
(fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) 1/3) 1/9)
(fma.f64 (*.f64 1/3 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) 1/9)
(fma.f64 (*.f64 1/3 (sqrt.f64 x)) (sqrt.f64 x) 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 (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 1 (/.f64 (+.f64 (pow.f64 x 6) (-.f64 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 (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 6) -1/729) (+.f64 (pow.f64 x 3) 1/27))
(/.f64 (neg.f64 (+.f64 (pow.f64 x 9) -1/19683)) (neg.f64 (+.f64 (pow.f64 x 6) (-.f64 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 x (pow.f64 x 2) -1/27)
(fma.f64 1 (pow.f64 x 3) -1/27)
(fma.f64 (pow.f64 x 3) 1 -1/27)
(fma.f64 (pow.f64 x 2) x -1/27)
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) (pow.f64 x 2)) -1/27)
(fma.f64 (pow.f64 x 3/2) (pow.f64 x 3/2) -1/27)
(fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (pow.f64 x 2)) -1/27)
(fma.f64 (pow.f64 (pow.f64 (cbrt.f64 x) 2) 3) x -1/27)
(fma.f64 (pow.f64 (sqrt.f64 x) 3) (pow.f64 (sqrt.f64 x) 3) -1/27)
(fma.f64 (*.f64 (pow.f64 x 2) 1) x -1/27)
(fma.f64 (*.f64 (pow.f64 x 2) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) -1/27)
(fma.f64 (*.f64 (pow.f64 x 2) (sqrt.f64 x)) (sqrt.f64 x) -1/27)

simplify111.0ms (2.9%)

Algorithm

1×	egg-herbie

Rules

940×	`log-prod`
662×	`fma-neg`
616×	`exp-prod`
530×	`div-sub`
478×	`cube-prod`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	483	6210
1	1104	5960
2	4425	5934

Stop Event

1×	node limit

Counts

285 → 303

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

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
x
x
-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 18 (pow.f64 x 3)))) 1/3)
(+.f64 x (-.f64 (fma.f64 -3 (pow.f64 x 2) (*.f64 18 (pow.f64 x 3))) 1/3))
(+.f64 -1/3 (+.f64 x (fma.f64 -3 (pow.f64 x 2) (*.f64 18 (pow.f64 x 3)))))
(+.f64 (fma.f64 -3 (pow.f64 x 2) x) (fma.f64 18 (pow.f64 x 3) -1/3))
(*.f64 3 (pow.f64 x 2))
(*.f64 (pow.f64 x 2) 3)
(+.f64 (.f64 -1 x) (.f64 3 (pow.f64 x 2)))
(fma.f64 -1 x (*.f64 (pow.f64 x 2) 3))
(fma.f64 (pow.f64 x 2) 3 (neg.f64 x))
(+.f64 1/3 (+.f64 (.f64 -1 x) (.f64 3 (pow.f64 x 2))))
(+.f64 1/3 (fma.f64 -1 x (*.f64 (pow.f64 x 2) 3)))
(+.f64 1/3 (fma.f64 (pow.f64 x 2) 3 (neg.f64 x)))
(-.f64 (+.f64 1/3 (+.f64 (.f64 -1 x) (.f64 3 (pow.f64 x 2)))) (*.f64 2/9 (/.f64 1 x)))
(+.f64 1/3 (-.f64 (fma.f64 -1 x (*.f64 (pow.f64 x 2) 3)) (/.f64 2/9 x)))
(+.f64 1/3 (+.f64 (fma.f64 (pow.f64 x 2) 3 (neg.f64 x)) (/.f64 -2/9 x)))
(+.f64 (-.f64 1/3 x) (fma.f64 (pow.f64 x 2) 3 (/.f64 -2/9 x)))
(*.f64 3 (pow.f64 x 2))
(*.f64 (pow.f64 x 2) 3)
(+.f64 (.f64 -1 x) (.f64 3 (pow.f64 x 2)))
(fma.f64 -1 x (*.f64 (pow.f64 x 2) 3))
(fma.f64 (pow.f64 x 2) 3 (neg.f64 x))
(+.f64 1/3 (+.f64 (.f64 -1 x) (.f64 3 (pow.f64 x 2))))
(+.f64 1/3 (fma.f64 -1 x (*.f64 (pow.f64 x 2) 3)))
(+.f64 1/3 (fma.f64 (pow.f64 x 2) 3 (neg.f64 x)))
(-.f64 (+.f64 1/3 (+.f64 (.f64 -1 x) (.f64 3 (pow.f64 x 2)))) (*.f64 2/9 (/.f64 1 x)))
(+.f64 1/3 (-.f64 (fma.f64 -1 x (*.f64 (pow.f64 x 2) 3)) (/.f64 2/9 x)))
(+.f64 1/3 (+.f64 (fma.f64 (pow.f64 x 2) 3 (neg.f64 x)) (/.f64 -2/9 x)))
(+.f64 (-.f64 1/3 x) (fma.f64 (pow.f64 x 2) 3 (/.f64 -2/9 x)))
(*.f64 1/3 x)
(*.f64 x 1/3)
(*.f64 1/3 x)
(*.f64 x 1/3)
(*.f64 1/3 x)
(*.f64 x 1/3)
(*.f64 1/3 x)
(*.f64 x 1/3)
(*.f64 1/3 x)
(*.f64 x 1/3)
(*.f64 1/3 x)
(*.f64 x 1/3)
(*.f64 1/3 x)
(*.f64 x 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)
(*.f64 1/3 x)
(*.f64 x 1/3)
(*.f64 1/3 x)
(*.f64 x 1/3)
1/9
(+.f64 1/9 (*.f64 1/3 x))
(fma.f64 x 1/3 1/9)
(+.f64 1/9 (*.f64 1/3 x))
(fma.f64 x 1/3 1/9)
(+.f64 1/9 (*.f64 1/3 x))
(fma.f64 x 1/3 1/9)
(*.f64 1/3 x)
(*.f64 x 1/3)
(+.f64 1/9 (*.f64 1/3 x))
(fma.f64 x 1/3 1/9)
(+.f64 1/9 (*.f64 1/3 x))
(fma.f64 x 1/3 1/9)
(+.f64 1/9 (*.f64 1/3 x))
(fma.f64 x 1/3 1/9)
(*.f64 1/3 x)
(*.f64 x 1/3)
(+.f64 1/9 (*.f64 1/3 x))
(fma.f64 x 1/3 1/9)
(+.f64 1/9 (*.f64 1/3 x))
(fma.f64 x 1/3 1/9)
(+.f64 1/9 (*.f64 1/3 x))
(fma.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 2/3 (+.f64 x -1))
(+.f64 -1/3 x)
(+.f64 2/3 (*.f64 (+.f64 x -1) 1))
(+.f64 -1/3 x)
(+.f64 x -1/3)
(+.f64 -1/3 x)
(+.f64 (+.f64 2/3 x) -1)
(+.f64 -1/3 x)
(+.f64 -1 (+.f64 2/3 x))
(+.f64 -1/3 x)
(+.f64 (+.f64 x -1) 2/3)
(+.f64 -1/3 x)
(*.f64 1 (+.f64 x -1/3))
(+.f64 -1/3 x)
(*.f64 (+.f64 x -1/3) 1)
(+.f64 -1/3 x)
(*.f64 (cbrt.f64 (+.f64 x -1/3)) (pow.f64 (cbrt.f64 (+.f64 x -1/3)) 2))
(+.f64 -1/3 x)
(*.f64 (pow.f64 (cbrt.f64 (+.f64 x -1/3)) 2) (cbrt.f64 (+.f64 x -1/3)))
(+.f64 -1/3 x)
(*.f64 (sqrt.f64 (+.f64 x -1/3)) (sqrt.f64 (+.f64 x -1/3)))
(+.f64 -1/3 x)
(*.f64 (+.f64 (pow.f64 (+.f64 2/3 x) 3) -1) (/.f64 1 (+.f64 (pow.f64 (+.f64 2/3 x) 2) (+.f64 x 5/3))))
(/.f64 (*.f64 (+.f64 -1 (pow.f64 (+.f64 x 2/3) 3)) 1) (+.f64 (pow.f64 (+.f64 x 2/3) 2) (+.f64 x 5/3)))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 x 2/3) 3)) (+.f64 x (+.f64 5/3 (pow.f64 (+.f64 x 2/3) 2))))
(*.f64 (+.f64 (pow.f64 (+.f64 2/3 x) 2) -1) (/.f64 1 (+.f64 x 5/3)))
(*.f64 (+.f64 -1 (pow.f64 (+.f64 x 2/3) 2)) (/.f64 1 (+.f64 x 5/3)))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 x 2/3) 2)) (+.f64 x 5/3))
(*.f64 (+.f64 (sqrt.f64 (+.f64 2/3 x)) 1) (-.f64 (sqrt.f64 (+.f64 2/3 x)) 1))
(+.f64 -1/3 x)
(/.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 (*.f64 (+.f64 -1 (pow.f64 (+.f64 x 2/3) 3)) 1) (+.f64 (pow.f64 (+.f64 x 2/3) 2) (+.f64 x 5/3)))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 x 2/3) 3)) (+.f64 x (+.f64 5/3 (pow.f64 (+.f64 x 2/3) 2))))
(/.f64 1 (/.f64 (+.f64 x 5/3) (+.f64 (pow.f64 (+.f64 2/3 x) 2) -1)))
(*.f64 (+.f64 -1 (pow.f64 (+.f64 x 2/3) 2)) (/.f64 1 (+.f64 x 5/3)))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 x 2/3) 2)) (+.f64 x 5/3))
(/.f64 (+.f64 (pow.f64 (+.f64 2/3 x) 3) -1) (+.f64 (pow.f64 (+.f64 2/3 x) 2) (+.f64 x 5/3)))
(/.f64 (*.f64 (+.f64 -1 (pow.f64 (+.f64 x 2/3) 3)) 1) (+.f64 (pow.f64 (+.f64 x 2/3) 2) (+.f64 x 5/3)))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 x 2/3) 3)) (+.f64 x (+.f64 5/3 (pow.f64 (+.f64 x 2/3) 2))))
(/.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 (*.f64 (+.f64 -1 (pow.f64 (+.f64 x 2/3) 3)) 1) (+.f64 (pow.f64 (+.f64 x 2/3) 2) (+.f64 x 5/3)))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 x 2/3) 3)) (+.f64 x (+.f64 5/3 (pow.f64 (+.f64 x 2/3) 2))))
(/.f64 (+.f64 (pow.f64 (+.f64 2/3 x) 2) -1) (+.f64 x 5/3))
(*.f64 (+.f64 -1 (pow.f64 (+.f64 x 2/3) 2)) (/.f64 1 (+.f64 x 5/3)))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 x 2/3) 2)) (+.f64 x 5/3))
(/.f64 (+.f64 (pow.f64 (+.f64 2/3 x) 2) -1) (-.f64 (+.f64 2/3 x) -1))
(*.f64 (+.f64 -1 (pow.f64 (+.f64 x 2/3) 2)) (/.f64 1 (+.f64 x 5/3)))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 x 2/3) 2)) (+.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 (+.f64 (neg.f64 (pow.f64 (+.f64 x 2/3) 3)) 1) (neg.f64 (+.f64 (pow.f64 (+.f64 x 2/3) 2) (+.f64 x 5/3))))
(/.f64 (-.f64 1 (pow.f64 (+.f64 x 2/3) 3)) (-.f64 (-.f64 -5/3 x) (pow.f64 (+.f64 x 2/3) 2)))
(/.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 2/3 x) 2) -1)) (neg.f64 (+.f64 x 5/3)))
(/.f64 (+.f64 (neg.f64 (pow.f64 (+.f64 x 2/3) 2)) 1) (neg.f64 (+.f64 x 5/3)))
(/.f64 (-.f64 1 (pow.f64 (+.f64 x 2/3) 2)) (-.f64 -5/3 x))
(/.f64 (+.f64 8/27 (pow.f64 (+.f64 x -1) 3)) (+.f64 4/9 (-.f64 (.f64 (+.f64 x -1) (+.f64 x -1)) (.f64 2/3 (+.f64 x -1)))))
(/.f64 (+.f64 8/27 (pow.f64 (+.f64 x -1) 3)) (+.f64 4/9 (*.f64 (+.f64 x -1) (-.f64 (+.f64 x -1) 2/3))))
(/.f64 (+.f64 8/27 (pow.f64 (+.f64 x -1) 3)) (fma.f64 (+.f64 x -1) (+.f64 x -5/3) 4/9))
(/.f64 (-.f64 4/9 (*.f64 (+.f64 x -1) (+.f64 x -1))) (-.f64 2/3 (+.f64 x -1)))
(/.f64 (-.f64 4/9 (*.f64 (+.f64 x -1) (+.f64 x -1))) (-.f64 5/3 x))
(pow.f64 (+.f64 x -1/3) 1)
(+.f64 -1/3 x)
(pow.f64 (cbrt.f64 (+.f64 x -1/3)) 3)
(+.f64 -1/3 x)
(pow.f64 (pow.f64 (+.f64 x -1/3) 3) 1/3)
(+.f64 -1/3 x)
(pow.f64 (sqrt.f64 (+.f64 x -1/3)) 2)
(+.f64 -1/3 x)
(sqrt.f64 (pow.f64 (+.f64 x -1/3) 2))
(+.f64 -1/3 x)
(log.f64 (exp.f64 (+.f64 x -1/3)))
(+.f64 -1/3 x)
(log.f64 (+.f64 1 (expm1.f64 (+.f64 x -1/3))))
(+.f64 -1/3 x)
(cbrt.f64 (pow.f64 (+.f64 x -1/3) 3))
(+.f64 -1/3 x)
(expm1.f64 (log.f64 (+.f64 2/3 x)))
(+.f64 -1/3 x)
(expm1.f64 (*.f64 (log.f64 (+.f64 2/3 x)) 1))
(+.f64 -1/3 x)
(exp.f64 (log.f64 (+.f64 x -1/3)))
(+.f64 -1/3 x)
(exp.f64 (*.f64 (log.f64 (+.f64 x -1/3)) 1))
(+.f64 -1/3 x)
(log1p.f64 (expm1.f64 (+.f64 x -1/3)))
(+.f64 -1/3 x)
(fma.f64 x 1 -1/3)
(+.f64 -1/3 x)
(fma.f64 (+.f64 2/3 x) 1 -1)
(+.f64 -1/3 x)
(fma.f64 1 x -1/3)
(+.f64 -1/3 x)
(fma.f64 1 (+.f64 2/3 x) -1)
(+.f64 -1/3 x)
(fma.f64 1 (+.f64 x -1) 2/3)
(+.f64 -1/3 x)
(fma.f64 (cbrt.f64 (+.f64 2/3 x)) (pow.f64 (cbrt.f64 (+.f64 2/3 x)) 2) -1)
(+.f64 -1/3 x)
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 2/3 x)) 2) (cbrt.f64 (+.f64 2/3 x)) -1)
(+.f64 -1/3 x)
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 2/3 x)) 2) (*.f64 (cbrt.f64 (+.f64 2/3 x)) 1) -1)
(+.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 (+.f64 2/3 x)) (sqrt.f64 (+.f64 2/3 x)) -1)
(+.f64 -1/3 x)
(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)
(fma.f64 (+.f64 (pow.f64 x 3) 8/27) (/.f64 1 (fma.f64 x (-.f64 x 2/3) 4/9)) -1)
(+.f64 (/.f64 (+.f64 (pow.f64 x 3) 8/27) (fma.f64 x (+.f64 x -2/3) 4/9)) -1)
(+.f64 -1 (/.f64 (+.f64 (pow.f64 x 3) 8/27) (fma.f64 x (+.f64 x -2/3) 4/9)))
(fma.f64 (-.f64 4/9 (pow.f64 x 2)) (/.f64 1 (-.f64 2/3 x)) -1)
(+.f64 (/.f64 (-.f64 4/9 (pow.f64 x 2)) (-.f64 2/3 x)) -1)
(+.f64 -1 (/.f64 (fma.f64 x x -4/9) (+.f64 x -2/3)))
(fma.f64 (*.f64 (cbrt.f64 (+.f64 x -1)) (cbrt.f64 (+.f64 x -1))) (cbrt.f64 (+.f64 x -1)) 2/3)
(+.f64 -1/3 x)
(fma.f64 (sqrt.f64 (+.f64 x -1)) (sqrt.f64 (+.f64 x -1)) 2/3)
(+.f64 -1/3 x)
(fma.f64 (+.f64 (sqrt.f64 x) 1) (-.f64 (sqrt.f64 x) 1) 2/3)
(fma.f64 (+.f64 1 (sqrt.f64 x)) (+.f64 (sqrt.f64 x) -1) 2/3)
(fma.f64 (+.f64 1 (sqrt.f64 x)) (+.f64 -1 (sqrt.f64 x)) 2/3)
(-.f64 (+.f64 x 5/3) 1)
(+.f64 x 2/3)
(-.f64 (/.f64 4/9 (-.f64 2/3 x)) (/.f64 (pow.f64 x 2) (-.f64 2/3 x)))
(/.f64 (-.f64 4/9 (pow.f64 x 2)) (-.f64 2/3 x))
(/.f64 (fma.f64 x x -4/9) (+.f64 x -2/3))
(*.f64 (+.f64 2/3 x) 1)
(+.f64 x 2/3)
(*.f64 1 (+.f64 2/3 x))
(+.f64 x 2/3)
(*.f64 (cbrt.f64 (+.f64 2/3 x)) (pow.f64 (cbrt.f64 (+.f64 2/3 x)) 2))
(+.f64 x 2/3)
(*.f64 (pow.f64 (cbrt.f64 (+.f64 2/3 x)) 2) (cbrt.f64 (+.f64 2/3 x)))
(+.f64 x 2/3)
(.f64 (pow.f64 (cbrt.f64 (+.f64 2/3 x)) 2) (.f64 (cbrt.f64 (+.f64 2/3 x)) 1))
(+.f64 x 2/3)
(*.f64 (sqrt.f64 (+.f64 2/3 x)) (sqrt.f64 (+.f64 2/3 x)))
(+.f64 x 2/3)
(.f64 (sqrt.f64 (+.f64 2/3 x)) (.f64 (sqrt.f64 (+.f64 2/3 x)) 1))
(+.f64 x 2/3)
(*.f64 (+.f64 (pow.f64 x 3) 8/27) (/.f64 1 (fma.f64 x (-.f64 x 2/3) 4/9)))
(/.f64 (+.f64 (pow.f64 x 3) 8/27) (fma.f64 x (+.f64 x -2/3) 4/9))
(*.f64 (-.f64 4/9 (pow.f64 x 2)) (/.f64 1 (-.f64 2/3 x)))
(/.f64 (-.f64 4/9 (pow.f64 x 2)) (-.f64 2/3 x))
(/.f64 (fma.f64 x x -4/9) (+.f64 x -2/3))
(/.f64 1 (/.f64 (fma.f64 x (-.f64 x 2/3) 4/9) (+.f64 (pow.f64 x 3) 8/27)))
(/.f64 (+.f64 (pow.f64 x 3) 8/27) (fma.f64 x (+.f64 x -2/3) 4/9))
(/.f64 1 (/.f64 (-.f64 2/3 x) (-.f64 4/9 (pow.f64 x 2))))
(/.f64 (-.f64 4/9 (pow.f64 x 2)) (-.f64 2/3 x))
(/.f64 (fma.f64 x x -4/9) (+.f64 x -2/3))
(/.f64 (+.f64 (pow.f64 x 3) 8/27) (fma.f64 x (-.f64 x 2/3) 4/9))
(/.f64 (+.f64 (pow.f64 x 3) 8/27) (fma.f64 x (+.f64 x -2/3) 4/9))
(/.f64 (+.f64 (pow.f64 x 3) 8/27) (fma.f64 x x (-.f64 4/9 (*.f64 2/3 x))))
(/.f64 (+.f64 (pow.f64 x 3) 8/27) (fma.f64 x x (+.f64 4/9 (*.f64 -2/3 x))))
(/.f64 (+.f64 (pow.f64 x 3) 8/27) (fma.f64 x x (-.f64 4/9 (*.f64 x 2/3))))
(/.f64 (-.f64 4/9 (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 (fma.f64 x (-.f64 x 2/3) 4/9)))
(/.f64 (+.f64 (pow.f64 x 3) 8/27) (fma.f64 x (+.f64 x -2/3) 4/9))
(/.f64 (neg.f64 (-.f64 4/9 (pow.f64 x 2))) (neg.f64 (-.f64 2/3 x)))
(/.f64 (-.f64 4/9 (pow.f64 x 2)) (-.f64 2/3 x))
(/.f64 (fma.f64 x x -4/9) (+.f64 x -2/3))
(/.f64 (-.f64 (pow.f64 x 2) 4/9) (-.f64 x 2/3))
(/.f64 (-.f64 4/9 (pow.f64 x 2)) (-.f64 2/3 x))
(/.f64 (fma.f64 x x -4/9) (+.f64 x -2/3))
(/.f64 (*.f64 (+.f64 (pow.f64 x 3) 8/27) 1) (fma.f64 x (-.f64 x 2/3) 4/9))
(/.f64 (+.f64 (pow.f64 x 3) 8/27) (fma.f64 x (+.f64 x -2/3) 4/9))
(/.f64 (*.f64 (-.f64 4/9 (pow.f64 x 2)) 1) (-.f64 2/3 x))
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(fma.f64 (sqrt.f64 (.f64 x 1/3)) (sqrt.f64 (.f64 x 1/3)) 1/9)
(fma.f64 x 1/3 1/9)
(fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) 1/3) 1/9)
(fma.f64 x 1/3 1/9)
(fma.f64 (*.f64 1/3 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) 1/9)
(fma.f64 x 1/3 1/9)
(fma.f64 (*.f64 1/3 (sqrt.f64 x)) (sqrt.f64 x) 1/9)
(fma.f64 x 1/3 1/9)
(-.f64 (exp.f64 (log1p.f64 (+.f64 (pow.f64 x 3) -1/27))) 1)
(+.f64 (pow.f64 x 3) -1/27)
(-.f64 (/.f64 (pow.f64 x 6) (+.f64 (pow.f64 x 3) 1/27)) (/.f64 1/729 (+.f64 (pow.f64 x 3) 1/27)))
(+.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 (pow.f64 x 3) -1/27)
(*.f64 (+.f64 (pow.f64 x 3) -1/27) 1)
(+.f64 (pow.f64 x 3) -1/27)
(*.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 x 3) -1/27)
(*.f64 (pow.f64 (cbrt.f64 (+.f64 (pow.f64 x 3) -1/27)) 2) (cbrt.f64 (+.f64 (pow.f64 x 3) -1/27)))
(+.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 (pow.f64 x 3) -1/27)
(.f64 (+.f64 (pow.f64 x 9) -1/19683) (/.f64 1 (+.f64 (pow.f64 x 6) (-.f64 1/729 (.f64 (pow.f64 x 3) -1/27)))))
(/.f64 (.f64 (+.f64 (pow.f64 x 9) -1/19683) 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 (fma.f64 (pow.f64 x 3) 1/27 1/729) (pow.f64 x 6)))
(*.f64 (+.f64 (pow.f64 x 6) -1/729) (/.f64 1 (+.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 (pow.f64 x 6) -1/729) (+.f64 (pow.f64 x 3) 1/27))
(/.f64 1 (/.f64 (+.f64 (pow.f64 x 6) (-.f64 1/729 (*.f64 (pow.f64 x 3) -1/27))) (+.f64 (pow.f64 x 9) -1/19683)))
(/.f64 (.f64 (+.f64 (pow.f64 x 9) -1/19683) 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 (fma.f64 (pow.f64 x 3) 1/27 1/729) (pow.f64 x 6)))
(/.f64 1 (/.f64 (+.f64 (pow.f64 x 3) 1/27) (+.f64 (pow.f64 x 6) -1/729)))
(/.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 (+.f64 (pow.f64 x 9) -1/19683) 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 (fma.f64 (pow.f64 x 3) 1/27 1/729) (pow.f64 x 6)))
(/.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 (+.f64 (pow.f64 x 9) -1/19683) 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 (fma.f64 (pow.f64 x 3) 1/27 1/729) (pow.f64 x 6)))
(/.f64 (+.f64 (pow.f64 x 6) -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 (neg.f64 (+.f64 (pow.f64 x 9) -1/19683)) (neg.f64 (+.f64 (pow.f64 x 6) (-.f64 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 (-.f64 1/19683 (pow.f64 x 9)) (-.f64 (neg.f64 (fma.f64 (pow.f64 x 3) 1/27 1/729)) (pow.f64 x 6)))
(/.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))
(+.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 x (pow.f64 x 2) -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 (pow.f64 x 3) 1 -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 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) (pow.f64 x 2)) -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)
(fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (pow.f64 x 2)) -1/27)
(+.f64 (pow.f64 x 3) -1/27)
(fma.f64 (pow.f64 (pow.f64 (cbrt.f64 x) 2) 3) x -1/27)
(+.f64 (pow.f64 x 3) -1/27)
(fma.f64 (pow.f64 (sqrt.f64 x) 3) (pow.f64 (sqrt.f64 x) 3) -1/27)
(+.f64 (pow.f64 x 3) -1/27)
(fma.f64 (*.f64 (pow.f64 x 2) 1) x -1/27)
(+.f64 (pow.f64 x 3) -1/27)
(fma.f64 (*.f64 (pow.f64 x 2) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) -1/27)
(+.f64 (pow.f64 x 3) -1/27)
(fma.f64 (*.f64 (pow.f64 x 2) (sqrt.f64 x)) (sqrt.f64 x) -1/27)
(+.f64 (pow.f64 x 3) -1/27)

eval113.0ms (3%)

Compiler: Compiled 4144 to 3399 computations (18% saved)

prune140.0ms (3.7%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	301	2	303
Fresh	0	2	2
Picked	1	1	2
Done	0	1	1
Total	302	6	308

Accuracy

100.0%

Counts

308 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	50.1%	(/.f64 -1/27 (+.f64 1/9 (*.f64 x 1/3)))
✓	99.2%	(-.f64 (+.f64 2/3 x) 1)
▶	49.8%	(-.f64 2/3 1)
✓	100.0%	(+.f64 x -1/3)
	51.1%	x
	50.5%	-1/3
▶	50.1%	(/.f64 -1/27 (+.f64 1/9 (*.f64 x 1/3)))
✓	99.2%	(-.f64 (+.f64 2/3 x) 1)
▶	49.8%	(-.f64 2/3 1)
✓	100.0%	(+.f64 x -1/3)
	51.1%	x
	50.5%	-1/3

Compiler

Compiled 52 to 44 computations (15.4% saved)

localize104.0ms (2.7%)

Localize:

Found 4 expressions with local error:

New	Accuracy	Program
	100.0%	(+.f64 1/9 (*.f64 x 1/3))
✓	99.7%	(/.f64 -1/27 (+.f64 1/9 (*.f64 x 1/3)))
	99.5%	(*.f64 x 1/3)
✓	98.4%	(-.f64 2/3 1)

Compiler

Compiled 26 to 22 computations (15.4% saved)

Precisions

Click to see histograms

Operation ival-sub, total time spent: 2.0ms

Operation ival-mult, total time spent: 5.0ms

Operation ival-div, total time spent: 2.0ms

Operation ival-add, total time spent: 3.0ms

Operation const, total time spent: 3.0ms

series2.0ms (0%)

Counts

2 → 12

Calls

3 calls:

Time	Variable		Point	Expression
1.0ms	x	@	inf	(/.f64 -1/27 (+.f64 1/9 (*.f64 x 1/3)))
0.0ms	x	@	-inf	(/.f64 -1/27 (+.f64 1/9 (*.f64 x 1/3)))
0.0ms	x	@	0	(/.f64 -1/27 (+.f64 1/9 (*.f64 x 1/3)))

rewrite77.0ms (2%)

Algorithm

1×	batch-egg-rewrite

Rules

774×	`unpow-prod-down`
533×	`log1p-expm1-u`
533×	`expm1-log1p-u`
512×	`log-prod`
505×	`add-exp-log`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	15	23
1	117	19
2	1437	19

Stop Event

1×	node limit

Counts

2 → 48

Calls

Call 1

Inputs
(-.f64 2/3 1)
(/.f64 -1/27 (+.f64 1/9 (*.f64 x 1/3)))

Outputs
-1/3
(+.f64 0 (/.f64 -1/27 (fma.f64 x 1/3 1/9)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 -1/27 (fma.f64 x 1/3 1/9)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 -1/27 (fma.f64 x 1/3 1/9))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 -1/27 (fma.f64 x 1/3 1/9))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 -1/27 (fma.f64 x 1/3 1/9))))))
(-.f64 (+.f64 1 (/.f64 -1/27 (fma.f64 x 1/3 1/9))) 1)
(*.f64 1 (/.f64 -1/27 (fma.f64 x 1/3 1/9)))
(*.f64 -1/27 (/.f64 1 (fma.f64 x 1/3 1/9)))
(*.f64 (/.f64 -1/27 (fma.f64 x 1/3 1/9)) 1)
(*.f64 (/.f64 -1/27 (fma.f64 x 1/3 1/9)) (log.f64 (E.f64)))
(.f64 (cbrt.f64 (/.f64 -1/27 (fma.f64 x 1/3 1/9))) (cbrt.f64 (.f64 1/729 (pow.f64 (fma.f64 x 1/3 1/9) -2))))
(.f64 (cbrt.f64 (.f64 1/729 (pow.f64 (fma.f64 x 1/3 1/9) -2))) (cbrt.f64 (/.f64 -1/27 (fma.f64 x 1/3 1/9))))
(*.f64 (sqrt.f64 (/.f64 -1/27 (fma.f64 x 1/3 1/9))) (sqrt.f64 (/.f64 -1/27 (fma.f64 x 1/3 1/9))))
(*.f64 1/27 (/.f64 1 (neg.f64 (fma.f64 x 1/3 1/9))))
(*.f64 (/.f64 1 (fma.f64 x 1/3 1/9)) -1/27)
(*.f64 (/.f64 1 (fma.f64 x 1/3 1/9)) (log.f64 (exp.f64 -1/27)))
(.f64 (/.f64 -1/27 (fma.f64 (pow.f64 x 3) 1/27 1/729)) (fma.f64 (.f64 x 1/3) (fma.f64 x 1/3 -1/9) 1/81))
(.f64 (/.f64 -1/27 (-.f64 1/81 (.f64 1/9 (pow.f64 x 2)))) (+.f64 1/9 (*.f64 -1/3 x)))
(*.f64 (pow.f64 1 1/3) (/.f64 -1/27 (fma.f64 x 1/3 1/9)))
(*.f64 (pow.f64 (cbrt.f64 -1/27) 3) (/.f64 1 (fma.f64 x 1/3 1/9)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 -1/27 (fma.f64 x 1/3 1/9)))) 2) 3) (cbrt.f64 (/.f64 -1/27 (fma.f64 x 1/3 1/9))))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (/.f64 -1/27 (fma.f64 x 1/3 1/9)))) 3) (pow.f64 (sqrt.f64 (cbrt.f64 (/.f64 -1/27 (fma.f64 x 1/3 1/9)))) 3))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (/.f64 -1/27 (fma.f64 x 1/3 1/9)) 3)) 1/3) (pow.f64 (sqrt.f64 (pow.f64 (/.f64 -1/27 (fma.f64 x 1/3 1/9)) 3)) 1/3))
(.f64 (pow.f64 (.f64 (*.f64 1/729 (pow.f64 (fma.f64 x 1/3 1/9) -2)) -1/27) 1/3) (cbrt.f64 (/.f64 1 (fma.f64 x 1/3 1/9))))
(.f64 (pow.f64 (pow.f64 (.f64 (/.f64 -1/27 (fma.f64 x 1/3 1/9)) (cbrt.f64 (/.f64 -1/27 (fma.f64 x 1/3 1/9)))) 2) 1/3) (cbrt.f64 (cbrt.f64 (/.f64 -1/27 (fma.f64 x 1/3 1/9)))))
(*.f64 (pow.f64 (pow.f64 (/.f64 -1/27 (fma.f64 x 1/3 1/9)) 5/2) 1/3) (cbrt.f64 (sqrt.f64 (/.f64 -1/27 (fma.f64 x 1/3 1/9)))))
(*.f64 (pow.f64 (sqrt.f64 -1/27) 2) (/.f64 1 (fma.f64 x 1/3 1/9)))
(.f64 (pow.f64 (pow.f64 (cbrt.f64 (.f64 (fma.f64 x 1/3 1/9) -27)) 2) -1) (cbrt.f64 (/.f64 -1/27 (fma.f64 x 1/3 1/9))))
(*.f64 (exp.f64 (log.f64 -1/27)) (/.f64 1 (fma.f64 x 1/3 1/9)))
(pow.f64 (/.f64 -1/27 (fma.f64 x 1/3 1/9)) 1)
(pow.f64 (cbrt.f64 (/.f64 -1/27 (fma.f64 x 1/3 1/9))) 3)
(pow.f64 (*.f64 1/729 (pow.f64 (fma.f64 x 1/3 1/9) -2)) 1/2)
(pow.f64 (pow.f64 (/.f64 -1/27 (fma.f64 x 1/3 1/9)) 3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 -1/27 (fma.f64 x 1/3 1/9))) 2)
(pow.f64 (*.f64 (fma.f64 x 1/3 1/9) -27) -1)
(pow.f64 (E.f64) (log.f64 (/.f64 -1/27 (fma.f64 x 1/3 1/9))))
(pow.f64 (/.f64 (*.f64 (fma.f64 x 1/3 1/9) -27) 1) -1)
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 -1/27 (fma.f64 x 1/3 1/9)))) 2)) (cbrt.f64 (log.f64 (/.f64 -1/27 (fma.f64 x 1/3 1/9)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (/.f64 -1/27 (fma.f64 x 1/3 1/9))))) (sqrt.f64 (log.f64 (/.f64 -1/27 (fma.f64 x 1/3 1/9)))))
(sqrt.f64 (*.f64 1/729 (pow.f64 (fma.f64 x 1/3 1/9) -2)))
(log.f64 (exp.f64 (/.f64 -1/27 (fma.f64 x 1/3 1/9))))
(cbrt.f64 (pow.f64 (/.f64 -1/27 (fma.f64 x 1/3 1/9)) 3))
(expm1.f64 (log1p.f64 (/.f64 -1/27 (fma.f64 x 1/3 1/9))))
(exp.f64 (log.f64 (/.f64 -1/27 (fma.f64 x 1/3 1/9))))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (/.f64 -1/27 (fma.f64 x 1/3 1/9)))) 3))
(exp.f64 (.f64 (.f64 3 (log.f64 (/.f64 -1/27 (fma.f64 x 1/3 1/9)))) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 -1/27 (fma.f64 x 1/3 1/9)))) 2))
(exp.f64 (.f64 (log.f64 (.f64 (fma.f64 x 1/3 1/9) -27)) -1))
(log1p.f64 (expm1.f64 (/.f64 -1/27 (fma.f64 x 1/3 1/9))))

simplify80.0ms (2.1%)

Algorithm

1×	egg-herbie

Rules

1134×	`associate-*r/`
880×	`fma-def`
618×	`log-prod`
548×	`unswap-sqr`
500×	`times-frac`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	177	1680
1	425	1614
2	1202	1594
3	4136	1592

Stop Event

1×	node limit

Counts

60 → 94

Calls

Call 1

Inputs
-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))))
-1/3
(+.f64 0 (/.f64 -1/27 (fma.f64 x 1/3 1/9)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 -1/27 (fma.f64 x 1/3 1/9)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 -1/27 (fma.f64 x 1/3 1/9))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 -1/27 (fma.f64 x 1/3 1/9))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 -1/27 (fma.f64 x 1/3 1/9))))))
(-.f64 (+.f64 1 (/.f64 -1/27 (fma.f64 x 1/3 1/9))) 1)
(*.f64 1 (/.f64 -1/27 (fma.f64 x 1/3 1/9)))
(*.f64 -1/27 (/.f64 1 (fma.f64 x 1/3 1/9)))
(*.f64 (/.f64 -1/27 (fma.f64 x 1/3 1/9)) 1)
(*.f64 (/.f64 -1/27 (fma.f64 x 1/3 1/9)) (log.f64 (E.f64)))
(.f64 (cbrt.f64 (/.f64 -1/27 (fma.f64 x 1/3 1/9))) (cbrt.f64 (.f64 1/729 (pow.f64 (fma.f64 x 1/3 1/9) -2))))
(.f64 (cbrt.f64 (.f64 1/729 (pow.f64 (fma.f64 x 1/3 1/9) -2))) (cbrt.f64 (/.f64 -1/27 (fma.f64 x 1/3 1/9))))
(*.f64 (sqrt.f64 (/.f64 -1/27 (fma.f64 x 1/3 1/9))) (sqrt.f64 (/.f64 -1/27 (fma.f64 x 1/3 1/9))))
(*.f64 1/27 (/.f64 1 (neg.f64 (fma.f64 x 1/3 1/9))))
(*.f64 (/.f64 1 (fma.f64 x 1/3 1/9)) -1/27)
(*.f64 (/.f64 1 (fma.f64 x 1/3 1/9)) (log.f64 (exp.f64 -1/27)))
(.f64 (/.f64 -1/27 (fma.f64 (pow.f64 x 3) 1/27 1/729)) (fma.f64 (.f64 x 1/3) (fma.f64 x 1/3 -1/9) 1/81))
(.f64 (/.f64 -1/27 (-.f64 1/81 (.f64 1/9 (pow.f64 x 2)))) (+.f64 1/9 (*.f64 -1/3 x)))
(*.f64 (pow.f64 1 1/3) (/.f64 -1/27 (fma.f64 x 1/3 1/9)))
(*.f64 (pow.f64 (cbrt.f64 -1/27) 3) (/.f64 1 (fma.f64 x 1/3 1/9)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 -1/27 (fma.f64 x 1/3 1/9)))) 2) 3) (cbrt.f64 (/.f64 -1/27 (fma.f64 x 1/3 1/9))))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (/.f64 -1/27 (fma.f64 x 1/3 1/9)))) 3) (pow.f64 (sqrt.f64 (cbrt.f64 (/.f64 -1/27 (fma.f64 x 1/3 1/9)))) 3))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (/.f64 -1/27 (fma.f64 x 1/3 1/9)) 3)) 1/3) (pow.f64 (sqrt.f64 (pow.f64 (/.f64 -1/27 (fma.f64 x 1/3 1/9)) 3)) 1/3))
(.f64 (pow.f64 (.f64 (*.f64 1/729 (pow.f64 (fma.f64 x 1/3 1/9) -2)) -1/27) 1/3) (cbrt.f64 (/.f64 1 (fma.f64 x 1/3 1/9))))
(.f64 (pow.f64 (pow.f64 (.f64 (/.f64 -1/27 (fma.f64 x 1/3 1/9)) (cbrt.f64 (/.f64 -1/27 (fma.f64 x 1/3 1/9)))) 2) 1/3) (cbrt.f64 (cbrt.f64 (/.f64 -1/27 (fma.f64 x 1/3 1/9)))))
(*.f64 (pow.f64 (pow.f64 (/.f64 -1/27 (fma.f64 x 1/3 1/9)) 5/2) 1/3) (cbrt.f64 (sqrt.f64 (/.f64 -1/27 (fma.f64 x 1/3 1/9)))))
(*.f64 (pow.f64 (sqrt.f64 -1/27) 2) (/.f64 1 (fma.f64 x 1/3 1/9)))
(.f64 (pow.f64 (pow.f64 (cbrt.f64 (.f64 (fma.f64 x 1/3 1/9) -27)) 2) -1) (cbrt.f64 (/.f64 -1/27 (fma.f64 x 1/3 1/9))))
(*.f64 (exp.f64 (log.f64 -1/27)) (/.f64 1 (fma.f64 x 1/3 1/9)))
(pow.f64 (/.f64 -1/27 (fma.f64 x 1/3 1/9)) 1)
(pow.f64 (cbrt.f64 (/.f64 -1/27 (fma.f64 x 1/3 1/9))) 3)
(pow.f64 (*.f64 1/729 (pow.f64 (fma.f64 x 1/3 1/9) -2)) 1/2)
(pow.f64 (pow.f64 (/.f64 -1/27 (fma.f64 x 1/3 1/9)) 3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 -1/27 (fma.f64 x 1/3 1/9))) 2)
(pow.f64 (*.f64 (fma.f64 x 1/3 1/9) -27) -1)
(pow.f64 (E.f64) (log.f64 (/.f64 -1/27 (fma.f64 x 1/3 1/9))))
(pow.f64 (/.f64 (*.f64 (fma.f64 x 1/3 1/9) -27) 1) -1)
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 -1/27 (fma.f64 x 1/3 1/9)))) 2)) (cbrt.f64 (log.f64 (/.f64 -1/27 (fma.f64 x 1/3 1/9)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (/.f64 -1/27 (fma.f64 x 1/3 1/9))))) (sqrt.f64 (log.f64 (/.f64 -1/27 (fma.f64 x 1/3 1/9)))))
(sqrt.f64 (*.f64 1/729 (pow.f64 (fma.f64 x 1/3 1/9) -2)))
(log.f64 (exp.f64 (/.f64 -1/27 (fma.f64 x 1/3 1/9))))
(cbrt.f64 (pow.f64 (/.f64 -1/27 (fma.f64 x 1/3 1/9)) 3))
(expm1.f64 (log1p.f64 (/.f64 -1/27 (fma.f64 x 1/3 1/9))))
(exp.f64 (log.f64 (/.f64 -1/27 (fma.f64 x 1/3 1/9))))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (/.f64 -1/27 (fma.f64 x 1/3 1/9)))) 3))
(exp.f64 (.f64 (.f64 3 (log.f64 (/.f64 -1/27 (fma.f64 x 1/3 1/9)))) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 -1/27 (fma.f64 x 1/3 1/9)))) 2))
(exp.f64 (.f64 (log.f64 (.f64 (fma.f64 x 1/3 1/9) -27)) -1))
(log1p.f64 (expm1.f64 (/.f64 -1/27 (fma.f64 x 1/3 1/9))))

Outputs
-1/3
(-.f64 x 1/3)
(+.f64 x -1/3)
(+.f64 -1/3 x)
(-.f64 (+.f64 x (*.f64 -3 (pow.f64 x 2))) 1/3)
(+.f64 (+.f64 x (*.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 (+.f64 x (fma.f64 -3 (pow.f64 x 2) (*.f64 9 (pow.f64 x 3)))) -1/3)
(+.f64 -1/3 (+.f64 (fma.f64 -3 (pow.f64 x 2) x) (*.f64 9 (pow.f64 x 3))))
(+.f64 -1/3 (fma.f64 -3 (pow.f64 x 2) (fma.f64 9 (pow.f64 x 3) x)))
(+.f64 x (fma.f64 (pow.f64 x 2) (+.f64 -3 (*.f64 x 9)) -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))
(-.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 1/27 (pow.f64 x 2)) (+.f64 (/.f64 1/9 x) (/.f64 1/81 (pow.f64 x 3))))
(-.f64 (+.f64 (/.f64 1/27 (pow.f64 x 2)) (/.f64 -1/9 x)) (/.f64 1/81 (pow.f64 x 3)))
(+.f64 (/.f64 1/27 (pow.f64 x 2)) (+.f64 (/.f64 -1/9 x) (/.f64 -1/81 (pow.f64 x 3))))
(-.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 (/.f64 1/243 (pow.f64 x 4)) (-.f64 (/.f64 1/27 (pow.f64 x 2)) (+.f64 (/.f64 1/9 x) (/.f64 1/81 (pow.f64 x 3)))))
(+.f64 (-.f64 (+.f64 (/.f64 1/27 (pow.f64 x 2)) (/.f64 -1/9 x)) (/.f64 1/81 (pow.f64 x 3))) (/.f64 1/243 (pow.f64 x 4)))
(+.f64 (+.f64 (/.f64 1/27 (pow.f64 x 2)) (+.f64 (/.f64 -1/9 x) (/.f64 -1/81 (pow.f64 x 3)))) (/.f64 1/243 (pow.f64 x 4)))
(+.f64 (+.f64 (/.f64 1/27 (pow.f64 x 2)) (/.f64 -1/81 (pow.f64 x 3))) (+.f64 (/.f64 1/243 (pow.f64 x 4)) (/.f64 -1/9 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 (pow.f64 x 2)) (/.f64 1/9 x))
(+.f64 (/.f64 1/27 (pow.f64 x 2)) (/.f64 -1/9 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 1/27 (pow.f64 x 2)) (+.f64 (/.f64 1/9 x) (/.f64 1/81 (pow.f64 x 3))))
(-.f64 (+.f64 (/.f64 1/27 (pow.f64 x 2)) (/.f64 -1/9 x)) (/.f64 1/81 (pow.f64 x 3)))
(+.f64 (/.f64 1/27 (pow.f64 x 2)) (+.f64 (/.f64 -1/9 x) (/.f64 -1/81 (pow.f64 x 3))))
(-.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 (/.f64 1/243 (pow.f64 x 4)) (-.f64 (/.f64 1/27 (pow.f64 x 2)) (+.f64 (/.f64 1/9 x) (/.f64 1/81 (pow.f64 x 3)))))
(+.f64 (-.f64 (+.f64 (/.f64 1/27 (pow.f64 x 2)) (/.f64 -1/9 x)) (/.f64 1/81 (pow.f64 x 3))) (/.f64 1/243 (pow.f64 x 4)))
(+.f64 (+.f64 (/.f64 1/27 (pow.f64 x 2)) (+.f64 (/.f64 -1/9 x) (/.f64 -1/81 (pow.f64 x 3)))) (/.f64 1/243 (pow.f64 x 4)))
(+.f64 (+.f64 (/.f64 1/27 (pow.f64 x 2)) (/.f64 -1/81 (pow.f64 x 3))) (+.f64 (/.f64 1/243 (pow.f64 x 4)) (/.f64 -1/9 x)))
-1/3
(+.f64 0 (/.f64 -1/27 (fma.f64 x 1/3 1/9)))
(/.f64 -1/27 (fma.f64 x 1/3 1/9))
(/.f64 1/27 (fma.f64 -1/3 x -1/9))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 -1/27 (fma.f64 x 1/3 1/9)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 -1/27 (fma.f64 x 1/3 1/9))))))
(*.f64 3 (log.f64 (cbrt.f64 (exp.f64 (/.f64 -1/27 (fma.f64 x 1/3 1/9))))))
(*.f64 3 (log.f64 (cbrt.f64 (exp.f64 (/.f64 1/27 (fma.f64 -1/3 x -1/9))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 -1/27 (fma.f64 x 1/3 1/9))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 -1/27 (fma.f64 x 1/3 1/9))))))
(/.f64 -1/27 (fma.f64 x 1/3 1/9))
(/.f64 1/27 (fma.f64 -1/3 x -1/9))
(-.f64 (+.f64 1 (/.f64 -1/27 (fma.f64 x 1/3 1/9))) 1)
(/.f64 -1/27 (fma.f64 x 1/3 1/9))
(/.f64 1/27 (fma.f64 -1/3 x -1/9))
(*.f64 1 (/.f64 -1/27 (fma.f64 x 1/3 1/9)))
(/.f64 -1/27 (fma.f64 x 1/3 1/9))
(/.f64 1/27 (fma.f64 -1/3 x -1/9))
(*.f64 -1/27 (/.f64 1 (fma.f64 x 1/3 1/9)))
(/.f64 -1/27 (fma.f64 x 1/3 1/9))
(/.f64 1/27 (fma.f64 -1/3 x -1/9))
(*.f64 (/.f64 -1/27 (fma.f64 x 1/3 1/9)) 1)
(/.f64 -1/27 (fma.f64 x 1/3 1/9))
(/.f64 1/27 (fma.f64 -1/3 x -1/9))
(*.f64 (/.f64 -1/27 (fma.f64 x 1/3 1/9)) (log.f64 (E.f64)))
(/.f64 -1/27 (fma.f64 x 1/3 1/9))
(/.f64 1/27 (fma.f64 -1/3 x -1/9))
(.f64 (cbrt.f64 (/.f64 -1/27 (fma.f64 x 1/3 1/9))) (cbrt.f64 (.f64 1/729 (pow.f64 (fma.f64 x 1/3 1/9) -2))))
(/.f64 -1/27 (fma.f64 x 1/3 1/9))
(/.f64 1/27 (fma.f64 -1/3 x -1/9))
(.f64 (cbrt.f64 (.f64 1/729 (pow.f64 (fma.f64 x 1/3 1/9) -2))) (cbrt.f64 (/.f64 -1/27 (fma.f64 x 1/3 1/9))))
(/.f64 -1/27 (fma.f64 x 1/3 1/9))
(/.f64 1/27 (fma.f64 -1/3 x -1/9))
(*.f64 (sqrt.f64 (/.f64 -1/27 (fma.f64 x 1/3 1/9))) (sqrt.f64 (/.f64 -1/27 (fma.f64 x 1/3 1/9))))
(/.f64 -1/27 (fma.f64 x 1/3 1/9))
(/.f64 1/27 (fma.f64 -1/3 x -1/9))
(*.f64 1/27 (/.f64 1 (neg.f64 (fma.f64 x 1/3 1/9))))
(/.f64 -1/27 (fma.f64 x 1/3 1/9))
(/.f64 1/27 (fma.f64 -1/3 x -1/9))
(*.f64 (/.f64 1 (fma.f64 x 1/3 1/9)) -1/27)
(/.f64 -1/27 (fma.f64 x 1/3 1/9))
(/.f64 1/27 (fma.f64 -1/3 x -1/9))
(*.f64 (/.f64 1 (fma.f64 x 1/3 1/9)) (log.f64 (exp.f64 -1/27)))
(/.f64 -1/27 (fma.f64 x 1/3 1/9))
(/.f64 1/27 (fma.f64 -1/3 x -1/9))
(.f64 (/.f64 -1/27 (fma.f64 (pow.f64 x 3) 1/27 1/729)) (fma.f64 (.f64 x 1/3) (fma.f64 x 1/3 -1/9) 1/81))
(.f64 (/.f64 -1/27 (fma.f64 (pow.f64 x 3) 1/27 1/729)) (fma.f64 x (.f64 1/3 (fma.f64 x 1/3 -1/9)) 1/81))
(/.f64 (fma.f64 -1/27 (.f64 (.f64 x 1/3) (fma.f64 x 1/3 -1/9)) -1/2187) (fma.f64 (pow.f64 x 3) 1/27 1/729))
(.f64 (/.f64 -1/27 (-.f64 1/81 (.f64 1/9 (pow.f64 x 2)))) (+.f64 1/9 (*.f64 -1/3 x)))
(.f64 (/.f64 -1/27 (+.f64 1/81 (.f64 -1/9 (pow.f64 x 2)))) (+.f64 1/9 (*.f64 -1/3 x)))
(.f64 (/.f64 -1/27 (+.f64 1/81 (.f64 (pow.f64 x 2) -1/9))) (fma.f64 -1/3 x 1/9))
(*.f64 (/.f64 -1/27 (fma.f64 (pow.f64 x 2) -1/9 1/81)) (fma.f64 -1/3 x 1/9))
(*.f64 (pow.f64 1 1/3) (/.f64 -1/27 (fma.f64 x 1/3 1/9)))
(/.f64 -1/27 (fma.f64 x 1/3 1/9))
(/.f64 1/27 (fma.f64 -1/3 x -1/9))
(*.f64 (pow.f64 (cbrt.f64 -1/27) 3) (/.f64 1 (fma.f64 x 1/3 1/9)))
(/.f64 -1/27 (fma.f64 x 1/3 1/9))
(/.f64 1/27 (fma.f64 -1/3 x -1/9))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 -1/27 (fma.f64 x 1/3 1/9)))) 2) 3) (cbrt.f64 (/.f64 -1/27 (fma.f64 x 1/3 1/9))))
(/.f64 -1/27 (fma.f64 x 1/3 1/9))
(/.f64 1/27 (fma.f64 -1/3 x -1/9))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (/.f64 -1/27 (fma.f64 x 1/3 1/9)))) 3) (pow.f64 (sqrt.f64 (cbrt.f64 (/.f64 -1/27 (fma.f64 x 1/3 1/9)))) 3))
(/.f64 -1/27 (fma.f64 x 1/3 1/9))
(/.f64 1/27 (fma.f64 -1/3 x -1/9))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (/.f64 -1/27 (fma.f64 x 1/3 1/9)) 3)) 1/3) (pow.f64 (sqrt.f64 (pow.f64 (/.f64 -1/27 (fma.f64 x 1/3 1/9)) 3)) 1/3))
(/.f64 -1/27 (fma.f64 x 1/3 1/9))
(/.f64 1/27 (fma.f64 -1/3 x -1/9))
(.f64 (pow.f64 (.f64 (*.f64 1/729 (pow.f64 (fma.f64 x 1/3 1/9) -2)) -1/27) 1/3) (cbrt.f64 (/.f64 1 (fma.f64 x 1/3 1/9))))
(.f64 (cbrt.f64 (.f64 -1/27 (*.f64 1/729 (pow.f64 (fma.f64 x 1/3 1/9) -2)))) (cbrt.f64 (/.f64 1 (fma.f64 x 1/3 1/9))))
(.f64 (cbrt.f64 (.f64 (pow.f64 (fma.f64 x 1/3 1/9) -2) -1/19683)) (cbrt.f64 (/.f64 1 (fma.f64 x 1/3 1/9))))
(.f64 (pow.f64 (pow.f64 (.f64 (/.f64 -1/27 (fma.f64 x 1/3 1/9)) (cbrt.f64 (/.f64 -1/27 (fma.f64 x 1/3 1/9)))) 2) 1/3) (cbrt.f64 (cbrt.f64 (/.f64 -1/27 (fma.f64 x 1/3 1/9)))))
(.f64 (cbrt.f64 (cbrt.f64 (/.f64 -1/27 (fma.f64 x 1/3 1/9)))) (cbrt.f64 (pow.f64 (.f64 (/.f64 -1/27 (fma.f64 x 1/3 1/9)) (cbrt.f64 (/.f64 -1/27 (fma.f64 x 1/3 1/9)))) 2)))
(*.f64 (cbrt.f64 (cbrt.f64 (/.f64 -1/27 (fma.f64 x 1/3 1/9)))) (cbrt.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 -1/27 (fma.f64 x 1/3 1/9))) 4) 2)))
(*.f64 (cbrt.f64 (cbrt.f64 (/.f64 -1/27 (fma.f64 x 1/3 1/9)))) (cbrt.f64 (pow.f64 (cbrt.f64 (/.f64 -1/27 (fma.f64 x 1/3 1/9))) 8)))
(*.f64 (cbrt.f64 (cbrt.f64 (/.f64 1/27 (fma.f64 -1/3 x -1/9)))) (cbrt.f64 (pow.f64 (cbrt.f64 (/.f64 1/27 (fma.f64 -1/3 x -1/9))) 8)))
(*.f64 (pow.f64 (pow.f64 (/.f64 -1/27 (fma.f64 x 1/3 1/9)) 5/2) 1/3) (cbrt.f64 (sqrt.f64 (/.f64 -1/27 (fma.f64 x 1/3 1/9)))))
(*.f64 (cbrt.f64 (pow.f64 (/.f64 -1/27 (fma.f64 x 1/3 1/9)) 5/2)) (cbrt.f64 (sqrt.f64 (/.f64 -1/27 (fma.f64 x 1/3 1/9)))))
(*.f64 (cbrt.f64 (pow.f64 (/.f64 1/27 (fma.f64 -1/3 x -1/9)) 5/2)) (cbrt.f64 (sqrt.f64 (/.f64 1/27 (fma.f64 -1/3 x -1/9)))))
(*.f64 (pow.f64 (sqrt.f64 -1/27) 2) (/.f64 1 (fma.f64 x 1/3 1/9)))
(/.f64 -1/27 (fma.f64 x 1/3 1/9))
(/.f64 1/27 (fma.f64 -1/3 x -1/9))
(.f64 (pow.f64 (pow.f64 (cbrt.f64 (.f64 (fma.f64 x 1/3 1/9) -27)) 2) -1) (cbrt.f64 (/.f64 -1/27 (fma.f64 x 1/3 1/9))))
(.f64 (cbrt.f64 (/.f64 -1/27 (fma.f64 x 1/3 1/9))) (/.f64 1 (pow.f64 (cbrt.f64 (.f64 (fma.f64 x 1/3 1/9) -27)) 2)))
(/.f64 (cbrt.f64 (/.f64 -1/27 (fma.f64 x 1/3 1/9))) (pow.f64 (cbrt.f64 (*.f64 (fma.f64 x 1/3 1/9) -27)) 2))
(/.f64 (cbrt.f64 (/.f64 1/27 (fma.f64 -1/3 x -1/9))) (pow.f64 (cbrt.f64 (*.f64 (fma.f64 x 1/3 1/9) -27)) 2))
(*.f64 (exp.f64 (log.f64 -1/27)) (/.f64 1 (fma.f64 x 1/3 1/9)))
(/.f64 -1/27 (fma.f64 x 1/3 1/9))
(/.f64 1/27 (fma.f64 -1/3 x -1/9))
(pow.f64 (/.f64 -1/27 (fma.f64 x 1/3 1/9)) 1)
(/.f64 -1/27 (fma.f64 x 1/3 1/9))
(/.f64 1/27 (fma.f64 -1/3 x -1/9))
(pow.f64 (cbrt.f64 (/.f64 -1/27 (fma.f64 x 1/3 1/9))) 3)
(/.f64 -1/27 (fma.f64 x 1/3 1/9))
(/.f64 1/27 (fma.f64 -1/3 x -1/9))
(pow.f64 (*.f64 1/729 (pow.f64 (fma.f64 x 1/3 1/9) -2)) 1/2)
(/.f64 -1/27 (fma.f64 x 1/3 1/9))
(/.f64 1/27 (fma.f64 -1/3 x -1/9))
(pow.f64 (pow.f64 (/.f64 -1/27 (fma.f64 x 1/3 1/9)) 3) 1/3)
(/.f64 -1/27 (fma.f64 x 1/3 1/9))
(/.f64 1/27 (fma.f64 -1/3 x -1/9))
(pow.f64 (sqrt.f64 (/.f64 -1/27 (fma.f64 x 1/3 1/9))) 2)
(/.f64 -1/27 (fma.f64 x 1/3 1/9))
(/.f64 1/27 (fma.f64 -1/3 x -1/9))
(pow.f64 (*.f64 (fma.f64 x 1/3 1/9) -27) -1)
(/.f64 -1/27 (fma.f64 x 1/3 1/9))
(/.f64 1/27 (fma.f64 -1/3 x -1/9))
(pow.f64 (E.f64) (log.f64 (/.f64 -1/27 (fma.f64 x 1/3 1/9))))
(/.f64 -1/27 (fma.f64 x 1/3 1/9))
(/.f64 1/27 (fma.f64 -1/3 x -1/9))
(pow.f64 (/.f64 (*.f64 (fma.f64 x 1/3 1/9) -27) 1) -1)
(/.f64 -1/27 (fma.f64 x 1/3 1/9))
(/.f64 1/27 (fma.f64 -1/3 x -1/9))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 -1/27 (fma.f64 x 1/3 1/9)))) 2)) (cbrt.f64 (log.f64 (/.f64 -1/27 (fma.f64 x 1/3 1/9)))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 1/27 (fma.f64 -1/3 x -1/9)))) 2)) (cbrt.f64 (log.f64 (/.f64 1/27 (fma.f64 -1/3 x -1/9)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (/.f64 -1/27 (fma.f64 x 1/3 1/9))))) (sqrt.f64 (log.f64 (/.f64 -1/27 (fma.f64 x 1/3 1/9)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (/.f64 1/27 (fma.f64 -1/3 x -1/9))))) (sqrt.f64 (log.f64 (/.f64 1/27 (fma.f64 -1/3 x -1/9)))))
(sqrt.f64 (*.f64 1/729 (pow.f64 (fma.f64 x 1/3 1/9) -2)))
(/.f64 -1/27 (fma.f64 x 1/3 1/9))
(/.f64 1/27 (fma.f64 -1/3 x -1/9))
(log.f64 (exp.f64 (/.f64 -1/27 (fma.f64 x 1/3 1/9))))
(/.f64 -1/27 (fma.f64 x 1/3 1/9))
(/.f64 1/27 (fma.f64 -1/3 x -1/9))
(cbrt.f64 (pow.f64 (/.f64 -1/27 (fma.f64 x 1/3 1/9)) 3))
(/.f64 -1/27 (fma.f64 x 1/3 1/9))
(/.f64 1/27 (fma.f64 -1/3 x -1/9))
(expm1.f64 (log1p.f64 (/.f64 -1/27 (fma.f64 x 1/3 1/9))))
(/.f64 -1/27 (fma.f64 x 1/3 1/9))
(/.f64 1/27 (fma.f64 -1/3 x -1/9))
(exp.f64 (log.f64 (/.f64 -1/27 (fma.f64 x 1/3 1/9))))
(/.f64 -1/27 (fma.f64 x 1/3 1/9))
(/.f64 1/27 (fma.f64 -1/3 x -1/9))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (/.f64 -1/27 (fma.f64 x 1/3 1/9)))) 3))
(/.f64 -1/27 (fma.f64 x 1/3 1/9))
(/.f64 1/27 (fma.f64 -1/3 x -1/9))
(exp.f64 (.f64 (.f64 3 (log.f64 (/.f64 -1/27 (fma.f64 x 1/3 1/9)))) 1/3))
(/.f64 -1/27 (fma.f64 x 1/3 1/9))
(/.f64 1/27 (fma.f64 -1/3 x -1/9))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 -1/27 (fma.f64 x 1/3 1/9)))) 2))
(/.f64 -1/27 (fma.f64 x 1/3 1/9))
(/.f64 1/27 (fma.f64 -1/3 x -1/9))
(exp.f64 (.f64 (log.f64 (.f64 (fma.f64 x 1/3 1/9) -27)) -1))
(/.f64 -1/27 (fma.f64 x 1/3 1/9))
(/.f64 1/27 (fma.f64 -1/3 x -1/9))
(log1p.f64 (expm1.f64 (/.f64 -1/27 (fma.f64 x 1/3 1/9))))
(/.f64 -1/27 (fma.f64 x 1/3 1/9))
(/.f64 1/27 (fma.f64 -1/3 x -1/9))

eval78.0ms (2%)

Compiler: Compiled 2121 to 1831 computations (13.7% saved)

prune25.0ms (0.7%)

Pruning

6 alts after pruning (2 fresh and 4 done)

	Pruned	Kept	Total
New	164	0	164
Fresh	0	2	2
Picked	0	2	2
Done	0	2	2
Total	164	6	170

Accuracy

100.0%

Counts

170 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	50.1%	(/.f64 -1/27 (+.f64 1/9 (*.f64 x 1/3)))
✓	99.2%	(-.f64 (+.f64 2/3 x) 1)
✓	49.8%	(-.f64 2/3 1)
✓	100.0%	(+.f64 x -1/3)
	51.1%	x
	50.5%	-1/3

Compiler

Compiled 91 to 73 computations (19.8% saved)

regimes16.0ms (0.4%)

Counts

11 → 1

Calls

Call 1

Inputs
-1/3
x
(+.f64 x -1/3)
(-.f64 2/3 1)
(-.f64 x (/.f64 1 3))
(-.f64 (+.f64 2/3 x) 1)
(/.f64 -1/27 (+.f64 1/9 (*.f64 x 1/3)))
(/.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 1/3)))
(/.f64 (+.f64 (pow.f64 x 3) -1/27) (+.f64 1/9 (*.f64 x (-.f64 x -1/3))))
(expm1.f64 (log1p.f64 (+.f64 x -1/3)))

Outputs
(+.f64 x -1/3)

Calls

2 calls:

7.0ms	x
5.0ms	(-.f64 x (/.f64 1 3))

Results

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

Compiler

Compiled 73 to 57 computations (21.9% saved)

regimes11.0ms (0.3%)

Counts

2 → 3

Calls

Call 1

Inputs
-1/3
x

Outputs
x
-1/3
x

Calls

1 calls:

10.0ms

Results

Accuracy	Segments	Branch
97.9%	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
50.5%	1	`x`

Compiler

Compiled 4 to 3 computations (25% saved)

bsearch33.0ms (0.9%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
18.0ms	0.00031985097663855995	573987362.0013282
14.0ms	-42.95829671549297	-0.018344207240077452

Results

29.0ms

288×

body

256

valid

Compiler

Compiled 118 to 98 computations (16.9% saved)

Precisions

Click to see histograms

Operation ival-sub, total time spent: 2.0ms

Operation ival-div, total time spent: 4.0ms

Operation const, total time spent: 1.0ms

simplify3.0ms (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 5944751508129055/18014398509481984) -1/3 x))
-1/3

Outputs
(+.f64 x -1/3)
(if (<=.f64 x -6124895493223875/18014398509481984) x (if (<=.f64 x 5944751508129055/18014398509481984) -1/3 x))
-1/3

Compiler

Compiled 18 to 13 computations (27.8% saved)

soundness26.0ms (0.7%)

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)

Iter	Nodes	Cost
0	14	52
1	28	48
2	52	40
3	79	40
4	128	40
5	159	40
6	169	40
7	176	40
8	184	40
9	189	40
10	190	40

Stop Event

1×

saturated

Compiler

Compiled 19 to 15 computations (21.1% saved)

end0.0ms (0%)

preprocess28.0ms (0.7%)

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

Iter	Nodes	Cost
0	14	52
1	28	48
2	52	40
3	79	40
4	128	40
5	159	40
6	169	40
7	176	40
8	184	40
9	189	40
10	190	40

Iter	Nodes	Cost
0	14	52
1	28	48
2	52	40
3	79	40
4	128	40
5	159	40
6	169	40
7	176	40
8	184	40
9	189	40
10	190	40

Iter	Nodes	Cost
0	14	52
1	28	48
2	52	40
3	79	40
4	128	40
5	159	40
6	169	40
7	176	40
8	184	40
9	189	40
10	190	40

Iter	Nodes	Cost
0	14	52
1	28	48
2	52	40
3	79	40
4	128	40
5	159	40
6	169	40
7	176	40
8	184	40
9	189	40
10	190	40

analyze0.0ms (0%)

sample1.0s (27%)

preprocess209.0ms (5.5%)

eval0.0ms (0%)

prune1.0ms (0%)

localize54.0ms (1.4%)

series1.0ms (0%)

rewrite225.0ms (5.9%)

simplify93.0ms (2.4%)

eval46.0ms (1.2%)

prune18.0ms (0.5%)

localize228.0ms (6%)

series7.0ms (0.2%)

rewrite224.0ms (5.9%)

simplify219.0ms (5.7%)

eval214.0ms (5.6%)

prune75.0ms (2%)

localize182.0ms (4.8%)

series3.0ms (0.1%)

rewrite137.0ms (3.6%)

simplify111.0ms (2.9%)

eval113.0ms (3%)

prune140.0ms (3.7%)

localize104.0ms (2.7%)

series2.0ms (0%)

rewrite77.0ms (2%)

simplify80.0ms (2.1%)

eval78.0ms (2%)

prune25.0ms (0.7%)

regimes16.0ms (0.4%)

regimes11.0ms (0.3%)

regimes3.0ms (0.1%)

bsearch33.0ms (0.9%)

simplify3.0ms (0.1%)

soundness26.0ms (0.7%)

end0.0ms (0%)

preprocess28.0ms (0.7%)

Profiling

Iter	Nodes	Cost
0	14	52
1	28	48
2	52	40
3	79	40
4	128	40
5	159	40
6	169	40
7	176	40
8	184	40
9	189	40
10	190	40

Iter	Nodes	Cost
0	14	52
1	28	48
2	52	40
3	79	40
4	128	40
5	159	40
6	169	40
7	176	40
8	184	40
9	189	40
10	190	40