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)

sample1.2s (35.2%)

Results

1.2s

8256×

body

256

valid

Bogosity

preprocess123.0ms (3.6%)

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)

eval0.0ms (0%)

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

prune1.0ms (0%)

Alt Table

Click to see full alt table

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

Compiler

Compiled 8 to 6 computations (25% saved)

localize17.0ms (0.5%)

Localize:

Found 1 expressions with local error:

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

Compiler

Compiled 7 to 5 computations (28.6% saved)

series1.0ms (0%)

Counts

1 → 12

Calls

3 calls:

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

rewrite222.0ms (6.6%)

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 (2.8%)

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)

eval39.0ms (1.2%)

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

prune17.0ms (0.5%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	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
▶	65.9%	(/.f64 (+.f64 (pow.f64 x 3) -1/27) (+.f64 1/9 (*.f64 x (-.f64 x -1/3))))
▶	99.3%	(-.f64 (+.f64 1 (+.f64 x -1/3)) 1)
✓	100.0%	(+.f64 x -1/3)
▶	72.0%	(expm1.f64 (log1p.f64 (+.f64 x -1/3)))
	54.7%	x
	45.6%	-1/3
▶	65.9%	(/.f64 (+.f64 (pow.f64 x 3) -1/27) (+.f64 1/9 (*.f64 x (-.f64 x -1/3))))
▶	99.3%	(-.f64 (+.f64 1 (+.f64 x -1/3)) 1)
✓	100.0%	(+.f64 x -1/3)
▶	72.0%	(expm1.f64 (log1p.f64 (+.f64 x -1/3)))
	54.7%	x
	45.6%	-1/3

Compiler

Compiled 72 to 58 computations (19.4% saved)

localize111.0ms (3.3%)

Localize:

Found 10 expressions with local error:

New	Accuracy	Program
✓	100.0%	(+.f64 1/9 (*.f64 x (-.f64 x -1/3)))
✓	100.0%	(-.f64 x -1/3)
✓	99.8%	(*.f64 x (-.f64 x -1/3))
✓	81.3%	(/.f64 (+.f64 (pow.f64 x 3) -1/27) (+.f64 1/9 (*.f64 x (-.f64 x -1/3))))
	100.0%	(+.f64 x -1/3)
✓	99.3%	(+.f64 1 (+.f64 x -1/3))
✓	99.3%	(-.f64 (+.f64 1 (+.f64 x -1/3)) 1)
	100.0%	(+.f64 x -1/3)
✓	100.0%	(log1p.f64 (+.f64 x -1/3))
✓	96.7%	(expm1.f64 (log1p.f64 (+.f64 x -1/3)))

Compiler

Compiled 75 to 56 computations (25.3% saved)

series6.0ms (0.2%)

Counts

8 → 96

Calls

24 calls:

Time	Variable		Point	Expression
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))))
1.0ms	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))
0.0ms	x	@	-inf	(log1p.f64 (+.f64 x -1/3))

rewrite255.0ms (7.6%)

Algorithm

1×	batch-egg-rewrite

Rules

1462×	`prod-diff`
923×	`log1p-expm1-u`
462×	`expm1-udef`
462×	`log1p-udef`
154×	`associate-r`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	22	150
1	312	136
2	4202	136

Stop Event

1×	node limit

Counts

8 → 320

Calls

Call 1

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

Outputs
(+.f64 x -1/3)
(+.f64 -1/3 x)
(+.f64 (+.f64 x -1/3) 0)
(+.f64 1 (+.f64 x -4/3))
(+.f64 1 (*.f64 (+.f64 x -4/3) 1))
(+.f64 (+.f64 x 2/3) -1)
(+.f64 -1 (+.f64 x 2/3))
(+.f64 (+.f64 x 1) -4/3)
(+.f64 (+.f64 x -4/3) 1)
(-.f64 (+.f64 x 2/3) 1)
(-.f64 (/.f64 (pow.f64 (+.f64 x 2/3) 3) (+.f64 (pow.f64 (+.f64 x 2/3) 2) (+.f64 (+.f64 x -1/3) 2))) (/.f64 1 (+.f64 (pow.f64 (+.f64 x 2/3) 2) (+.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 (+.f64 x 2/3) 2) (+.f64 (+.f64 x -1/3) 2)) (/.f64 1 (+.f64 (+.f64 x -1/3) 2)))
(*.f64 (+.f64 x -1/3) 1)
(*.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 (cbrt.f64 (+.f64 x -1/3)) (pow.f64 (cbrt.f64 (+.f64 x -1/3)) 2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 x -1/3)) 2) (cbrt.f64 (+.f64 x -1/3)))
(*.f64 (sqrt.f64 (+.f64 x -1/3)) (sqrt.f64 (+.f64 x -1/3)))
(*.f64 (+.f64 (pow.f64 (+.f64 x 2/3) 3) -1) (/.f64 1 (+.f64 (pow.f64 (+.f64 x 2/3) 2) (+.f64 (+.f64 x -1/3) 2))))
(*.f64 (fma.f64 x x -1/9) (/.f64 1 (+.f64 x 1/3)))
(*.f64 (+.f64 (pow.f64 (+.f64 x 2/3) 2) -1) (/.f64 1 (+.f64 (+.f64 x -1/3) 2)))
(*.f64 (+.f64 (sqrt.f64 (+.f64 x 2/3)) 1) (-.f64 (sqrt.f64 (+.f64 x 2/3)) 1))
(.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 1 (/.f64 (fma.f64 x x (-.f64 1/9 (*.f64 x -1/3))) (+.f64 (pow.f64 x 3) -1/27)))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (+.f64 x 2/3) 2) (+.f64 (+.f64 x -1/3) 2)) (+.f64 (pow.f64 (+.f64 x 2/3) 3) -1)))
(/.f64 1 (/.f64 (+.f64 x 1/3) (fma.f64 x x -1/9)))
(/.f64 1 (/.f64 (+.f64 (+.f64 x -1/3) 2) (+.f64 (pow.f64 (+.f64 x 2/3) 2) -1)))
(/.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 (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 (+.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 (+.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 (+.f64 x 2/3) 3) -1) (+.f64 (pow.f64 (+.f64 x 2/3) 2) (+.f64 (+.f64 x -1/3) 2)))
(/.f64 (+.f64 (pow.f64 (+.f64 x 2/3) 3) -1) (+.f64 (pow.f64 (+.f64 x 2/3) 2) (-.f64 1 (*.f64 (+.f64 x 2/3) -1))))
(/.f64 (+.f64 (pow.f64 x 6) -1/729) (.f64 (fma.f64 x x (-.f64 1/9 (.f64 x -1/3))) (+.f64 (pow.f64 x 3) 1/27)))
(/.f64 (fma.f64 x x -1/9) (+.f64 x 1/3))
(/.f64 (+.f64 (pow.f64 (+.f64 x 2/3) 2) -1) (+.f64 (+.f64 x -1/3) 2))
(/.f64 (+.f64 (pow.f64 (+.f64 x 2/3) 2) -1) (-.f64 (+.f64 x 2/3) -1))
(/.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 x 2/3) 3) -1)) (neg.f64 (+.f64 (pow.f64 (+.f64 x 2/3) 2) (+.f64 (+.f64 x -1/3) 2))))
(/.f64 (neg.f64 (fma.f64 x x -1/9)) (neg.f64 (+.f64 x 1/3)))
(/.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 x 2/3) 2) -1)) (neg.f64 (+.f64 (+.f64 x -1/3) 2)))
(/.f64 (+.f64 1 (pow.f64 (+.f64 x -4/3) 3)) (+.f64 1 (-.f64 (*.f64 (+.f64 x -4/3) (+.f64 x -4/3)) (+.f64 x -4/3))))
(/.f64 (-.f64 1/9 (pow.f64 x 2)) (-.f64 -1/3 x))
(/.f64 (-.f64 1 (*.f64 (+.f64 x -4/3) (+.f64 x -4/3))) (-.f64 1 (+.f64 x -4/3)))
(/.f64 (/.f64 (fma.f64 x x -1/9) 1) (+.f64 x 1/3))
(/.f64 (/.f64 (fma.f64 x x -1/9) (pow.f64 (cbrt.f64 (+.f64 x 1/3)) 2)) (cbrt.f64 (+.f64 x 1/3)))
(/.f64 (/.f64 (fma.f64 x x -1/9) (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))
(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 1 (+.f64 x 2/3) -1)
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 x 2/3)) 2) (cbrt.f64 (+.f64 x 2/3)) -1)
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) -1/3)
(fma.f64 (sqrt.f64 (+.f64 x 2/3)) (sqrt.f64 (+.f64 x 2/3)) -1)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) -1/3)
(+.f64 0 (log.f64 (+.f64 x 2/3)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (+.f64 x 2/3)) 2)) (log.f64 (cbrt.f64 (+.f64 x 2/3))))
(+.f64 (log.f64 (sqrt.f64 (+.f64 x 2/3))) (log.f64 (sqrt.f64 (+.f64 x 2/3))))
(-.f64 (exp.f64 (log1p.f64 (log.f64 (+.f64 x 2/3)))) 1)
(-.f64 (log1p.f64 (pow.f64 (+.f64 x -1/3) 3)) (log1p.f64 (*.f64 (+.f64 x -1/3) (+.f64 x -4/3))))
(-.f64 (log.f64 (-.f64 1 (pow.f64 (+.f64 x -1/3) 2))) (log.f64 (-.f64 4/3 x)))
(*.f64 (log.f64 (+.f64 x 2/3)) 1)
(*.f64 1 (log.f64 (+.f64 x 2/3)))
(*.f64 (cbrt.f64 (log.f64 (+.f64 x 2/3))) (pow.f64 (cbrt.f64 (log.f64 (+.f64 x 2/3))) 2))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x 2/3))) 2) (cbrt.f64 (log.f64 (+.f64 x 2/3))))
(*.f64 (sqrt.f64 (log.f64 (+.f64 x 2/3))) (sqrt.f64 (log.f64 (+.f64 x 2/3))))
(pow.f64 (log.f64 (+.f64 x 2/3)) 1)
(pow.f64 (cbrt.f64 (log.f64 (+.f64 x 2/3))) 3)
(pow.f64 (pow.f64 (log.f64 (+.f64 x 2/3)) 3) 1/3)
(pow.f64 (sqrt.f64 (log.f64 (+.f64 x 2/3))) 2)
(sqrt.f64 (pow.f64 (log.f64 (+.f64 x 2/3)) 2))
(log.f64 (+.f64 x 2/3))
(cbrt.f64 (pow.f64 (log.f64 (+.f64 x 2/3)) 3))
(expm1.f64 (log1p.f64 (log.f64 (+.f64 x 2/3))))
(exp.f64 (log.f64 (log.f64 (+.f64 x 2/3))))
(exp.f64 (*.f64 (log.f64 (log.f64 (+.f64 x 2/3))) 1))
(+.f64 x -1/3)
(+.f64 -1/3 x)
(+.f64 (+.f64 x -1/3) 0)
(+.f64 1 (+.f64 x -4/3))
(+.f64 1 (*.f64 (+.f64 x -4/3) 1))
(+.f64 (+.f64 x 2/3) -1)
(+.f64 -1 (+.f64 x 2/3))
(+.f64 (+.f64 x 1) -4/3)
(+.f64 (+.f64 x -4/3) 1)
(*.f64 (+.f64 x -1/3) 1)
(*.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 (cbrt.f64 (+.f64 x -1/3)) (pow.f64 (cbrt.f64 (+.f64 x -1/3)) 2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 x -1/3)) 2) (cbrt.f64 (+.f64 x -1/3)))
(*.f64 (sqrt.f64 (+.f64 x -1/3)) (sqrt.f64 (+.f64 x -1/3)))
(*.f64 (+.f64 (pow.f64 (+.f64 x 2/3) 3) -1) (/.f64 1 (+.f64 (pow.f64 (+.f64 x 2/3) 2) (+.f64 (+.f64 x -1/3) 2))))
(*.f64 (fma.f64 x x -1/9) (/.f64 1 (+.f64 x 1/3)))
(*.f64 (+.f64 (pow.f64 (+.f64 x 2/3) 2) -1) (/.f64 1 (+.f64 (+.f64 x -1/3) 2)))
(*.f64 (+.f64 (sqrt.f64 (+.f64 x 2/3)) 1) (-.f64 (sqrt.f64 (+.f64 x 2/3)) 1))
(.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 1 (/.f64 (fma.f64 x x (-.f64 1/9 (*.f64 x -1/3))) (+.f64 (pow.f64 x 3) -1/27)))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (+.f64 x 2/3) 2) (+.f64 (+.f64 x -1/3) 2)) (+.f64 (pow.f64 (+.f64 x 2/3) 3) -1)))
(/.f64 1 (/.f64 (+.f64 x 1/3) (fma.f64 x x -1/9)))
(/.f64 1 (/.f64 (+.f64 (+.f64 x -1/3) 2) (+.f64 (pow.f64 (+.f64 x 2/3) 2) -1)))
(/.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 (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 (+.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)))))
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(.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 1/9 (.f64 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 1 (*.f64 x (+.f64 x 1/3)) 1/9)
(fma.f64 (+.f64 x 1/3) x 1/9)
(fma.f64 (pow.f64 (cbrt.f64 (.f64 x (+.f64 x 1/3))) 2) (cbrt.f64 (.f64 x (+.f64 x 1/3))) 1/9)
(fma.f64 (sqrt.f64 (.f64 x (+.f64 x 1/3))) (sqrt.f64 (.f64 x (+.f64 x 1/3))) 1/9)

simplify220.0ms (6.5%)

Algorithm

1×	egg-herbie

Rules

1010×	`fma-neg`
990×	`log-prod`
544×	`distribute-rgt-in`
532×	`exp-prod`
510×	`distribute-lft-in`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	585	11812
1	1369	10572
2	6041	10544

Stop Event

1×	node limit

Counts

416 → 393

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))))
-1/3
(-.f64 x 1/3)
(-.f64 x 1/3)
(-.f64 x 1/3)
x
(-.f64 x 1/3)
(-.f64 x 1/3)
(-.f64 x 1/3)
x
(-.f64 x 1/3)
(-.f64 x 1/3)
(-.f64 x 1/3)
2/3
(+.f64 2/3 x)
(+.f64 2/3 x)
(+.f64 2/3 x)
x
(+.f64 2/3 x)
(+.f64 2/3 x)
(+.f64 2/3 x)
x
(+.f64 2/3 x)
(+.f64 2/3 x)
(+.f64 2/3 x)
-1/3
(-.f64 x 1/3)
(-.f64 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))
1/3
(+.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 1/9 (*.f64 1/3 x))
(+.f64 1/9 (+.f64 (*.f64 1/3 x) (pow.f64 x 2)))
(+.f64 1/9 (+.f64 (*.f64 1/3 x) (pow.f64 x 2)))
(pow.f64 x 2)
(+.f64 (*.f64 1/3 x) (pow.f64 x 2))
(+.f64 1/9 (+.f64 (*.f64 1/3 x) (pow.f64 x 2)))
(+.f64 1/9 (+.f64 (*.f64 1/3 x) (pow.f64 x 2)))
(pow.f64 x 2)
(+.f64 (*.f64 1/3 x) (pow.f64 x 2))
(+.f64 1/9 (+.f64 (*.f64 1/3 x) (pow.f64 x 2)))
(+.f64 1/9 (+.f64 (*.f64 1/3 x) (pow.f64 x 2)))
(+.f64 x -1/3)
(+.f64 -1/3 x)
(+.f64 (+.f64 x -1/3) 0)
(+.f64 1 (+.f64 x -4/3))
(+.f64 1 (*.f64 (+.f64 x -4/3) 1))
(+.f64 (+.f64 x 2/3) -1)
(+.f64 -1 (+.f64 x 2/3))
(+.f64 (+.f64 x 1) -4/3)
(+.f64 (+.f64 x -4/3) 1)
(-.f64 (+.f64 x 2/3) 1)
(-.f64 (/.f64 (pow.f64 (+.f64 x 2/3) 3) (+.f64 (pow.f64 (+.f64 x 2/3) 2) (+.f64 (+.f64 x -1/3) 2))) (/.f64 1 (+.f64 (pow.f64 (+.f64 x 2/3) 2) (+.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 (+.f64 x 2/3) 2) (+.f64 (+.f64 x -1/3) 2)) (/.f64 1 (+.f64 (+.f64 x -1/3) 2)))
(*.f64 (+.f64 x -1/3) 1)
(*.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 (cbrt.f64 (+.f64 x -1/3)) (pow.f64 (cbrt.f64 (+.f64 x -1/3)) 2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 x -1/3)) 2) (cbrt.f64 (+.f64 x -1/3)))
(*.f64 (sqrt.f64 (+.f64 x -1/3)) (sqrt.f64 (+.f64 x -1/3)))
(*.f64 (+.f64 (pow.f64 (+.f64 x 2/3) 3) -1) (/.f64 1 (+.f64 (pow.f64 (+.f64 x 2/3) 2) (+.f64 (+.f64 x -1/3) 2))))
(*.f64 (fma.f64 x x -1/9) (/.f64 1 (+.f64 x 1/3)))
(*.f64 (+.f64 (pow.f64 (+.f64 x 2/3) 2) -1) (/.f64 1 (+.f64 (+.f64 x -1/3) 2)))
(*.f64 (+.f64 (sqrt.f64 (+.f64 x 2/3)) 1) (-.f64 (sqrt.f64 (+.f64 x 2/3)) 1))
(.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 1 (/.f64 (fma.f64 x x (-.f64 1/9 (*.f64 x -1/3))) (+.f64 (pow.f64 x 3) -1/27)))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (+.f64 x 2/3) 2) (+.f64 (+.f64 x -1/3) 2)) (+.f64 (pow.f64 (+.f64 x 2/3) 3) -1)))
(/.f64 1 (/.f64 (+.f64 x 1/3) (fma.f64 x x -1/9)))
(/.f64 1 (/.f64 (+.f64 (+.f64 x -1/3) 2) (+.f64 (pow.f64 (+.f64 x 2/3) 2) -1)))
(/.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 (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 (+.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 (+.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 (+.f64 x 2/3) 3) -1) (+.f64 (pow.f64 (+.f64 x 2/3) 2) (+.f64 (+.f64 x -1/3) 2)))
(/.f64 (+.f64 (pow.f64 (+.f64 x 2/3) 3) -1) (+.f64 (pow.f64 (+.f64 x 2/3) 2) (-.f64 1 (*.f64 (+.f64 x 2/3) -1))))
(/.f64 (+.f64 (pow.f64 x 6) -1/729) (.f64 (fma.f64 x x (-.f64 1/9 (.f64 x -1/3))) (+.f64 (pow.f64 x 3) 1/27)))
(/.f64 (fma.f64 x x -1/9) (+.f64 x 1/3))
(/.f64 (+.f64 (pow.f64 (+.f64 x 2/3) 2) -1) (+.f64 (+.f64 x -1/3) 2))
(/.f64 (+.f64 (pow.f64 (+.f64 x 2/3) 2) -1) (-.f64 (+.f64 x 2/3) -1))
(/.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 x 2/3) 3) -1)) (neg.f64 (+.f64 (pow.f64 (+.f64 x 2/3) 2) (+.f64 (+.f64 x -1/3) 2))))
(/.f64 (neg.f64 (fma.f64 x x -1/9)) (neg.f64 (+.f64 x 1/3)))
(/.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 x 2/3) 2) -1)) (neg.f64 (+.f64 (+.f64 x -1/3) 2)))
(/.f64 (+.f64 1 (pow.f64 (+.f64 x -4/3) 3)) (+.f64 1 (-.f64 (*.f64 (+.f64 x -4/3) (+.f64 x -4/3)) (+.f64 x -4/3))))
(/.f64 (-.f64 1/9 (pow.f64 x 2)) (-.f64 -1/3 x))
(/.f64 (-.f64 1 (*.f64 (+.f64 x -4/3) (+.f64 x -4/3))) (-.f64 1 (+.f64 x -4/3)))
(/.f64 (/.f64 (fma.f64 x x -1/9) 1) (+.f64 x 1/3))
(/.f64 (/.f64 (fma.f64 x x -1/9) (pow.f64 (cbrt.f64 (+.f64 x 1/3)) 2)) (cbrt.f64 (+.f64 x 1/3)))
(/.f64 (/.f64 (fma.f64 x x -1/9) (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))
(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 1 (+.f64 x 2/3) -1)
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 x 2/3)) 2) (cbrt.f64 (+.f64 x 2/3)) -1)
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) -1/3)
(fma.f64 (sqrt.f64 (+.f64 x 2/3)) (sqrt.f64 (+.f64 x 2/3)) -1)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) -1/3)
(+.f64 0 (log.f64 (+.f64 x 2/3)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (+.f64 x 2/3)) 2)) (log.f64 (cbrt.f64 (+.f64 x 2/3))))
(+.f64 (log.f64 (sqrt.f64 (+.f64 x 2/3))) (log.f64 (sqrt.f64 (+.f64 x 2/3))))
(-.f64 (exp.f64 (log1p.f64 (log.f64 (+.f64 x 2/3)))) 1)
(-.f64 (log1p.f64 (pow.f64 (+.f64 x -1/3) 3)) (log1p.f64 (*.f64 (+.f64 x -1/3) (+.f64 x -4/3))))
(-.f64 (log.f64 (-.f64 1 (pow.f64 (+.f64 x -1/3) 2))) (log.f64 (-.f64 4/3 x)))
(*.f64 (log.f64 (+.f64 x 2/3)) 1)
(*.f64 1 (log.f64 (+.f64 x 2/3)))
(*.f64 (cbrt.f64 (log.f64 (+.f64 x 2/3))) (pow.f64 (cbrt.f64 (log.f64 (+.f64 x 2/3))) 2))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x 2/3))) 2) (cbrt.f64 (log.f64 (+.f64 x 2/3))))
(*.f64 (sqrt.f64 (log.f64 (+.f64 x 2/3))) (sqrt.f64 (log.f64 (+.f64 x 2/3))))
(pow.f64 (log.f64 (+.f64 x 2/3)) 1)
(pow.f64 (cbrt.f64 (log.f64 (+.f64 x 2/3))) 3)
(pow.f64 (pow.f64 (log.f64 (+.f64 x 2/3)) 3) 1/3)
(pow.f64 (sqrt.f64 (log.f64 (+.f64 x 2/3))) 2)
(sqrt.f64 (pow.f64 (log.f64 (+.f64 x 2/3)) 2))
(log.f64 (+.f64 x 2/3))
(cbrt.f64 (pow.f64 (log.f64 (+.f64 x 2/3)) 3))
(expm1.f64 (log1p.f64 (log.f64 (+.f64 x 2/3))))
(exp.f64 (log.f64 (log.f64 (+.f64 x 2/3))))
(exp.f64 (*.f64 (log.f64 (log.f64 (+.f64 x 2/3))) 1))
(+.f64 x -1/3)
(+.f64 -1/3 x)
(+.f64 (+.f64 x -1/3) 0)
(+.f64 1 (+.f64 x -4/3))
(+.f64 1 (*.f64 (+.f64 x -4/3) 1))
(+.f64 (+.f64 x 2/3) -1)
(+.f64 -1 (+.f64 x 2/3))
(+.f64 (+.f64 x 1) -4/3)
(+.f64 (+.f64 x -4/3) 1)
(*.f64 (+.f64 x -1/3) 1)
(*.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 (cbrt.f64 (+.f64 x -1/3)) (pow.f64 (cbrt.f64 (+.f64 x -1/3)) 2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 x -1/3)) 2) (cbrt.f64 (+.f64 x -1/3)))
(*.f64 (sqrt.f64 (+.f64 x -1/3)) (sqrt.f64 (+.f64 x -1/3)))
(*.f64 (+.f64 (pow.f64 (+.f64 x 2/3) 3) -1) (/.f64 1 (+.f64 (pow.f64 (+.f64 x 2/3) 2) (+.f64 (+.f64 x -1/3) 2))))
(*.f64 (fma.f64 x x -1/9) (/.f64 1 (+.f64 x 1/3)))
(*.f64 (+.f64 (pow.f64 (+.f64 x 2/3) 2) -1) (/.f64 1 (+.f64 (+.f64 x -1/3) 2)))
(*.f64 (+.f64 (sqrt.f64 (+.f64 x 2/3)) 1) (-.f64 (sqrt.f64 (+.f64 x 2/3)) 1))
(.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 1 (/.f64 (fma.f64 x x (-.f64 1/9 (*.f64 x -1/3))) (+.f64 (pow.f64 x 3) -1/27)))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (+.f64 x 2/3) 2) (+.f64 (+.f64 x -1/3) 2)) (+.f64 (pow.f64 (+.f64 x 2/3) 3) -1)))
(/.f64 1 (/.f64 (+.f64 x 1/3) (fma.f64 x x -1/9)))
(/.f64 1 (/.f64 (+.f64 (+.f64 x -1/3) 2) (+.f64 (pow.f64 (+.f64 x 2/3) 2) -1)))
(/.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 (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 (+.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 (+.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 (+.f64 x 2/3) 3) -1) (+.f64 (pow.f64 (+.f64 x 2/3) 2) (+.f64 (+.f64 x -1/3) 2)))
(/.f64 (+.f64 (pow.f64 (+.f64 x 2/3) 3) -1) (+.f64 (pow.f64 (+.f64 x 2/3) 2) (-.f64 1 (*.f64 (+.f64 x 2/3) -1))))
(/.f64 (+.f64 (pow.f64 x 6) -1/729) (.f64 (fma.f64 x x (-.f64 1/9 (.f64 x -1/3))) (+.f64 (pow.f64 x 3) 1/27)))
(/.f64 (fma.f64 x x -1/9) (+.f64 x 1/3))
(/.f64 (+.f64 (pow.f64 (+.f64 x 2/3) 2) -1) (+.f64 (+.f64 x -1/3) 2))
(/.f64 (+.f64 (pow.f64 (+.f64 x 2/3) 2) -1) (-.f64 (+.f64 x 2/3) -1))
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(/.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 1 (*.f64 x (+.f64 x 1/3)) 1/9)
(fma.f64 (+.f64 x 1/3) x 1/9)
(fma.f64 (pow.f64 (cbrt.f64 (.f64 x (+.f64 x 1/3))) 2) (cbrt.f64 (.f64 x (+.f64 x 1/3))) 1/9)
(fma.f64 (sqrt.f64 (.f64 x (+.f64 x 1/3))) (sqrt.f64 (.f64 x (+.f64 x 1/3))) 1/9)

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 (/.f64 2/3 x) (-.f64 (log.f64 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 8/81 (pow.f64 x 3)) (+.f64 (/.f64 2/3 x) (/.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 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) (+.f64 (/.f64 2/3 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))))
(+.f64 (log.f64 -1) (-.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (+.f64 (/.f64 2/3 x) (/.f64 8/81 (pow.f64 x 3)))) (/.f64 2/9 (pow.f64 x 2))))
(+.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) (+.f64 (/.f64 8/81 (pow.f64 x 3)) (+.f64 (/.f64 2/3 x) (/.f64 -2/9 (pow.f64 x 2)))))
-1/3
(-.f64 x 1/3)
(+.f64 -1/3 x)
(-.f64 x 1/3)
(+.f64 -1/3 x)
(-.f64 x 1/3)
(+.f64 -1/3 x)
x
(-.f64 x 1/3)
(+.f64 -1/3 x)
(-.f64 x 1/3)
(+.f64 -1/3 x)
(-.f64 x 1/3)
(+.f64 -1/3 x)
x
(-.f64 x 1/3)
(+.f64 -1/3 x)
(-.f64 x 1/3)
(+.f64 -1/3 x)
(-.f64 x 1/3)
(+.f64 -1/3 x)
2/3
(+.f64 2/3 x)
(+.f64 x 2/3)
(+.f64 2/3 x)
(+.f64 x 2/3)
(+.f64 2/3 x)
(+.f64 x 2/3)
x
(+.f64 2/3 x)
(+.f64 x 2/3)
(+.f64 2/3 x)
(+.f64 x 2/3)
(+.f64 2/3 x)
(+.f64 x 2/3)
x
(+.f64 2/3 x)
(+.f64 x 2/3)
(+.f64 2/3 x)
(+.f64 x 2/3)
(+.f64 2/3 x)
(+.f64 x 2/3)
-1/3
(-.f64 x 1/3)
(+.f64 -1/3 x)
(-.f64 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 1/3 x)
(*.f64 x 1/3)
(+.f64 (*.f64 1/3 x) (pow.f64 x 2))
(*.f64 x (+.f64 x 1/3))
(*.f64 x (-.f64 x -1/3))
(+.f64 (*.f64 1/3 x) (pow.f64 x 2))
(*.f64 x (+.f64 x 1/3))
(*.f64 x (-.f64 x -1/3))
(+.f64 (*.f64 1/3 x) (pow.f64 x 2))
(*.f64 x (+.f64 x 1/3))
(*.f64 x (-.f64 x -1/3))
(pow.f64 x 2)
(+.f64 (*.f64 1/3 x) (pow.f64 x 2))
(*.f64 x (+.f64 x 1/3))
(*.f64 x (-.f64 x -1/3))
(+.f64 (*.f64 1/3 x) (pow.f64 x 2))
(*.f64 x (+.f64 x 1/3))
(*.f64 x (-.f64 x -1/3))
(+.f64 (*.f64 1/3 x) (pow.f64 x 2))
(*.f64 x (+.f64 x 1/3))
(*.f64 x (-.f64 x -1/3))
(pow.f64 x 2)
(+.f64 (*.f64 1/3 x) (pow.f64 x 2))
(*.f64 x (+.f64 x 1/3))
(*.f64 x (-.f64 x -1/3))
(+.f64 (*.f64 1/3 x) (pow.f64 x 2))
(*.f64 x (+.f64 x 1/3))
(*.f64 x (-.f64 x -1/3))
(+.f64 (*.f64 1/3 x) (pow.f64 x 2))
(*.f64 x (+.f64 x 1/3))
(*.f64 x (-.f64 x -1/3))
1/3
(+.f64 1/3 x)
(+.f64 x 1/3)
(+.f64 1/3 x)
(+.f64 x 1/3)
(+.f64 1/3 x)
(+.f64 x 1/3)
x
(+.f64 1/3 x)
(+.f64 x 1/3)
(+.f64 1/3 x)
(+.f64 x 1/3)
(+.f64 1/3 x)
(+.f64 x 1/3)
x
(+.f64 1/3 x)
(+.f64 x 1/3)
(+.f64 1/3 x)
(+.f64 x 1/3)
(+.f64 1/3 x)
(+.f64 x 1/3)
1/9
(+.f64 1/9 (*.f64 1/3 x))
(+.f64 1/9 (*.f64 x 1/3))
(fma.f64 x 1/3 1/9)
(+.f64 1/9 (+.f64 (*.f64 1/3 x) (pow.f64 x 2)))
(fma.f64 x (+.f64 x 1/3) 1/9)
(+.f64 1/9 (+.f64 (*.f64 1/3 x) (pow.f64 x 2)))
(fma.f64 x (+.f64 x 1/3) 1/9)
(pow.f64 x 2)
(+.f64 (*.f64 1/3 x) (pow.f64 x 2))
(*.f64 x (+.f64 x 1/3))
(*.f64 x (-.f64 x -1/3))
(+.f64 1/9 (+.f64 (*.f64 1/3 x) (pow.f64 x 2)))
(fma.f64 x (+.f64 x 1/3) 1/9)
(+.f64 1/9 (+.f64 (*.f64 1/3 x) (pow.f64 x 2)))
(fma.f64 x (+.f64 x 1/3) 1/9)
(pow.f64 x 2)
(+.f64 (*.f64 1/3 x) (pow.f64 x 2))
(*.f64 x (+.f64 x 1/3))
(*.f64 x (-.f64 x -1/3))
(+.f64 1/9 (+.f64 (*.f64 1/3 x) (pow.f64 x 2)))
(fma.f64 x (+.f64 x 1/3) 1/9)
(+.f64 1/9 (+.f64 (*.f64 1/3 x) (pow.f64 x 2)))
(fma.f64 x (+.f64 x 1/3) 1/9)
(+.f64 x -1/3)
(+.f64 -1/3 x)
(+.f64 -1/3 x)
(+.f64 (+.f64 x -1/3) 0)
(+.f64 -1/3 x)
(+.f64 1 (+.f64 x -4/3))
(+.f64 -1/3 x)
(+.f64 1 (*.f64 (+.f64 x -4/3) 1))
(+.f64 -1/3 x)
(+.f64 (+.f64 x 2/3) -1)
(+.f64 -1/3 x)
(+.f64 -1 (+.f64 x 2/3))
(+.f64 -1/3 x)
(+.f64 (+.f64 x 1) -4/3)
(+.f64 -1/3 x)
(+.f64 (+.f64 x -4/3) 1)
(+.f64 -1/3 x)
(-.f64 (+.f64 x 2/3) 1)
(+.f64 -1/3 x)
(-.f64 (/.f64 (pow.f64 (+.f64 x 2/3) 3) (+.f64 (pow.f64 (+.f64 x 2/3) 2) (+.f64 (+.f64 x -1/3) 2))) (/.f64 1 (+.f64 (pow.f64 (+.f64 x 2/3) 2) (+.f64 (+.f64 x -1/3) 2))))
(-.f64 (/.f64 (pow.f64 (+.f64 x 2/3) 3) (+.f64 (pow.f64 (+.f64 x 2/3) 2) (+.f64 x 5/3))) (/.f64 1 (+.f64 (pow.f64 (+.f64 x 2/3) 2) (+.f64 x 5/3))))
(+.f64 (/.f64 (pow.f64 (+.f64 x 2/3) 3) (+.f64 (pow.f64 (+.f64 x 2/3) 2) (+.f64 x 5/3))) (/.f64 -1 (+.f64 (pow.f64 (+.f64 x 2/3) 2) (+.f64 x 5/3))))
(-.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 (/.f64 (pow.f64 (+.f64 x 2/3) 2) (+.f64 (+.f64 x -1/3) 2)) (/.f64 1 (+.f64 (+.f64 x -1/3) 2)))
(-.f64 (/.f64 (pow.f64 (+.f64 x 2/3) 2) (+.f64 x 5/3)) (/.f64 1 (+.f64 x 5/3)))
(+.f64 (/.f64 (pow.f64 (+.f64 x 2/3) 2) (+.f64 x 5/3)) (/.f64 -1 (+.f64 x 5/3)))
(*.f64 (+.f64 x -1/3) 1)
(+.f64 -1/3 x)
(*.f64 1 (+.f64 x -1/3))
(+.f64 -1/3 x)
(.f64 (+.f64 (pow.f64 x 3) -1/27) (/.f64 1 (fma.f64 x x (-.f64 1/9 (.f64 x -1/3)))))
(/.f64 (.f64 (+.f64 (pow.f64 x 3) -1/27) 1) (fma.f64 x x (-.f64 1/9 (.f64 -1/3 x))))
(/.f64 (+.f64 (pow.f64 x 3) -1/27) (fma.f64 x (+.f64 x 1/3) 1/9))
(*.f64 (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 x 2/3) 3) -1) (/.f64 1 (+.f64 (pow.f64 (+.f64 x 2/3) 2) (+.f64 (+.f64 x -1/3) 2))))
(*.f64 (/.f64 1 (+.f64 (pow.f64 (+.f64 x 2/3) 2) (+.f64 x 5/3))) (+.f64 -1 (pow.f64 (+.f64 x 2/3) 3)))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 x 2/3) 3)) (+.f64 (pow.f64 (+.f64 x 2/3) 2) (+.f64 x 5/3)))
(*.f64 (fma.f64 x x -1/9) (/.f64 1 (+.f64 x 1/3)))
(/.f64 (fma.f64 x x -1/9) (+.f64 x 1/3))
(*.f64 (+.f64 (pow.f64 (+.f64 x 2/3) 2) -1) (/.f64 1 (+.f64 (+.f64 x -1/3) 2)))
(*.f64 (/.f64 1 (+.f64 x 5/3)) (+.f64 -1 (pow.f64 (+.f64 x 2/3) 2)))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 x 2/3) 2)) (+.f64 x 5/3))
(*.f64 (+.f64 (sqrt.f64 (+.f64 x 2/3)) 1) (-.f64 (sqrt.f64 (+.f64 x 2/3)) 1))
(+.f64 -1/3 x)
(.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)) (+.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 -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 -1/3 x))))
(/.f64 (+.f64 (pow.f64 x 3) -1/27) (fma.f64 x (+.f64 x 1/3) 1/9))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (+.f64 x 2/3) 2) (+.f64 (+.f64 x -1/3) 2)) (+.f64 (pow.f64 (+.f64 x 2/3) 3) -1)))
(*.f64 (/.f64 1 (+.f64 (pow.f64 (+.f64 x 2/3) 2) (+.f64 x 5/3))) (+.f64 -1 (pow.f64 (+.f64 x 2/3) 3)))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 x 2/3) 3)) (+.f64 (pow.f64 (+.f64 x 2/3) 2) (+.f64 x 5/3)))
(/.f64 1 (/.f64 (+.f64 x 1/3) (fma.f64 x x -1/9)))
(*.f64 (fma.f64 x x -1/9) (/.f64 1 (+.f64 x 1/3)))
(/.f64 (fma.f64 x x -1/9) (+.f64 x 1/3))
(/.f64 1 (/.f64 (+.f64 (+.f64 x -1/3) 2) (+.f64 (pow.f64 (+.f64 x 2/3) 2) -1)))
(*.f64 (/.f64 1 (+.f64 x 5/3)) (+.f64 -1 (pow.f64 (+.f64 x 2/3) 2)))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 x 2/3) 2)) (+.f64 x 5/3))
(/.f64 (+.f64 (pow.f64 x 3) -1/27) (fma.f64 x x (-.f64 1/9 (*.f64 x -1/3))))
(/.f64 (.f64 (+.f64 (pow.f64 x 3) -1/27) 1) (fma.f64 x x (-.f64 1/9 (.f64 -1/3 x))))
(/.f64 (+.f64 (pow.f64 x 3) -1/27) (fma.f64 x (+.f64 x 1/3) 1/9))
(/.f64 (+.f64 (pow.f64 x 3) -1/27) (+.f64 1/9 (-.f64 (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 -1/3 x))))
(/.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 (fma.f64 x x (-.f64 1/9 (*.f64 x -1/3))) (cbrt.f64 (+.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 -1/3 x))))
(/.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 (fma.f64 x x (-.f64 1/9 (*.f64 x -1/3))) (sqrt.f64 (+.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 -1/3 x))))
(/.f64 (+.f64 (pow.f64 x 3) -1/27) (fma.f64 x (+.f64 x 1/3) 1/9))
(/.f64 (+.f64 1/27 (neg.f64 (pow.f64 x 3))) (neg.f64 (fma.f64 x x (-.f64 1/9 (*.f64 x -1/3)))))
(/.f64 (-.f64 1/27 (pow.f64 x 3)) (neg.f64 (fma.f64 x x (-.f64 1/9 (*.f64 -1/3 x)))))
(/.f64 (-.f64 1/27 (pow.f64 x 3)) (-.f64 -1/9 (*.f64 x (-.f64 x -1/3))))
(/.f64 (-.f64 1/27 (pow.f64 x 3)) (fma.f64 x (-.f64 -1/3 x) -1/9))
(/.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 9) -1/19683) (.f64 (fma.f64 x x (-.f64 1/9 (.f64 -1/3 x))) (-.f64 (+.f64 (pow.f64 x 6) 1/729) (*.f64 (pow.f64 x 3) -1/27))))
(/.f64 (+.f64 (pow.f64 x 9) -1/19683) (.f64 (+.f64 (+.f64 (pow.f64 x 6) 1/729) (.f64 (pow.f64 x 3) 1/27)) (fma.f64 x (+.f64 x 1/3) 1/9)))
(/.f64 (+.f64 (pow.f64 (+.f64 x 2/3) 3) -1) (+.f64 (pow.f64 (+.f64 x 2/3) 2) (+.f64 (+.f64 x -1/3) 2)))
(*.f64 (/.f64 1 (+.f64 (pow.f64 (+.f64 x 2/3) 2) (+.f64 x 5/3))) (+.f64 -1 (pow.f64 (+.f64 x 2/3) 3)))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 x 2/3) 3)) (+.f64 (pow.f64 (+.f64 x 2/3) 2) (+.f64 x 5/3)))
(/.f64 (+.f64 (pow.f64 (+.f64 x 2/3) 3) -1) (+.f64 (pow.f64 (+.f64 x 2/3) 2) (-.f64 1 (*.f64 (+.f64 x 2/3) -1))))
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(/.f64 1 (/.f64 (+.f64 1/81 (.f64 x (.f64 (+.f64 x 1/3) (fma.f64 x (+.f64 x 1/3) -1/9)))) (+.f64 1/729 (pow.f64 (*.f64 x (+.f64 x 1/3)) 3))))
(/.f64 (+.f64 1/729 (pow.f64 (.f64 x (-.f64 x -1/3)) 3)) (fma.f64 x (.f64 (+.f64 x 1/3) (fma.f64 x (+.f64 x 1/3) -1/9)) 1/81))
(/.f64 (+.f64 1/729 (pow.f64 (.f64 x (+.f64 x 1/3)) 3)) (fma.f64 x (.f64 (+.f64 x 1/3) (fma.f64 x (+.f64 x 1/3) -1/9)) 1/81))
(.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 (-.f64 1/81 (pow.f64 (.f64 x (+.f64 x 1/3)) 2)) (-.f64 1/9 (.f64 x (+.f64 x 1/3))))
(/.f64 (-.f64 1/81 (pow.f64 (.f64 x (-.f64 x -1/3)) 2)) (+.f64 1/9 (.f64 x (-.f64 -1/3 x))))
(/.f64 (-.f64 1/81 (pow.f64 (.f64 x (+.f64 x 1/3)) 2)) (+.f64 1/9 (.f64 x (-.f64 -1/3 x))))
(/.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 1/81 (.f64 x (.f64 (+.f64 x 1/3) (fma.f64 x (+.f64 x 1/3) -1/9)))) (+.f64 1/729 (pow.f64 (*.f64 x (+.f64 x 1/3)) 3))))
(/.f64 (+.f64 1/729 (pow.f64 (.f64 x (-.f64 x -1/3)) 3)) (fma.f64 x (.f64 (+.f64 x 1/3) (fma.f64 x (+.f64 x 1/3) -1/9)) 1/81))
(/.f64 (+.f64 1/729 (pow.f64 (.f64 x (+.f64 x 1/3)) 3)) (fma.f64 x (.f64 (+.f64 x 1/3) (fma.f64 x (+.f64 x 1/3) -1/9)) 1/81))
(/.f64 1 (/.f64 (-.f64 1/9 (.f64 x (+.f64 x 1/3))) (-.f64 1/81 (pow.f64 (.f64 x (+.f64 x 1/3)) 2))))
(/.f64 (-.f64 1/81 (pow.f64 (.f64 x (+.f64 x 1/3)) 2)) (-.f64 1/9 (.f64 x (+.f64 x 1/3))))
(/.f64 (-.f64 1/81 (pow.f64 (.f64 x (-.f64 x -1/3)) 2)) (+.f64 1/9 (.f64 x (-.f64 -1/3 x))))
(/.f64 (-.f64 1/81 (pow.f64 (.f64 x (+.f64 x 1/3)) 2)) (+.f64 1/9 (.f64 x (-.f64 -1/3 x))))
(/.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 1 (/.f64 (+.f64 1/81 (.f64 x (.f64 (+.f64 x 1/3) (fma.f64 x (+.f64 x 1/3) -1/9)))) (+.f64 1/729 (pow.f64 (*.f64 x (+.f64 x 1/3)) 3))))
(/.f64 (+.f64 1/729 (pow.f64 (.f64 x (-.f64 x -1/3)) 3)) (fma.f64 x (.f64 (+.f64 x 1/3) (fma.f64 x (+.f64 x 1/3) -1/9)) 1/81))
(/.f64 (+.f64 1/729 (pow.f64 (.f64 x (+.f64 x 1/3)) 3)) (fma.f64 x (.f64 (+.f64 x 1/3) (fma.f64 x (+.f64 x 1/3) -1/9)) 1/81))
(/.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 1/9 (.f64 x (+.f64 x 1/3))))))
(/.f64 (+.f64 1/729 (pow.f64 (.f64 x (+.f64 x 1/3)) 3)) (+.f64 (pow.f64 (.f64 x (+.f64 x 1/3)) 2) (-.f64 1/81 (.f64 (.f64 1/9 x) (+.f64 x 1/3)))))
(/.f64 (+.f64 1/729 (pow.f64 (.f64 x (-.f64 x -1/3)) 3)) (+.f64 1/81 (+.f64 (.f64 1/9 (.f64 x (-.f64 -1/3 x))) (pow.f64 (.f64 x (-.f64 x -1/3)) 2))))
(/.f64 (+.f64 1/729 (pow.f64 (.f64 x (+.f64 x 1/3)) 3)) (+.f64 1/81 (+.f64 (.f64 1/9 (.f64 x (-.f64 -1/3 x))) (pow.f64 (.f64 x (+.f64 x 1/3)) 2))))
(/.f64 (-.f64 1/81 (pow.f64 (.f64 x (+.f64 x 1/3)) 2)) (-.f64 1/9 (.f64 x (+.f64 x 1/3))))
(/.f64 (-.f64 1/81 (pow.f64 (.f64 x (-.f64 x -1/3)) 2)) (+.f64 1/9 (.f64 x (-.f64 -1/3 x))))
(/.f64 (-.f64 1/81 (pow.f64 (.f64 x (+.f64 x 1/3)) 2)) (+.f64 1/9 (.f64 x (-.f64 -1/3 x))))
(/.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 (+.f64 (neg.f64 (pow.f64 (.f64 x (+.f64 x 1/3)) 3)) -1/729) (neg.f64 (+.f64 1/81 (.f64 x (*.f64 (+.f64 x 1/3) (fma.f64 x (+.f64 x 1/3) -1/9))))))
(/.f64 (-.f64 -1/729 (pow.f64 (.f64 x (-.f64 x -1/3)) 3)) (+.f64 -1/81 (.f64 (fma.f64 x (+.f64 x 1/3) -1/9) (*.f64 x (-.f64 -1/3 x)))))
(/.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) (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))
(/.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 1 (*.f64 x (+.f64 x 1/3)) 1/9)
(fma.f64 x (+.f64 x 1/3) 1/9)
(fma.f64 (+.f64 x 1/3) x 1/9)
(fma.f64 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)

eval397.0ms (11.8%)

Compiler: Compiled 14006 to 11311 computations (19.2% saved)

prune92.0ms (2.7%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	852	1	853
Fresh	0	2	2
Picked	2	1	3
Done	0	1	1
Total	854	5	859

Accuracy

100.0%

Counts

859 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	65.9%	(/.f64 (+.f64 (pow.f64 x 3) -1/27) (+.f64 1/9 (*.f64 x (-.f64 x -1/3))))
▶	99.3%	(-.f64 (+.f64 x 2/3) 1)
✓	100.0%	(+.f64 x -1/3)
	54.7%	x
	45.6%	-1/3
✓	65.9%	(/.f64 (+.f64 (pow.f64 x 3) -1/27) (+.f64 1/9 (*.f64 x (-.f64 x -1/3))))
▶	99.3%	(-.f64 (+.f64 x 2/3) 1)
✓	100.0%	(+.f64 x -1/3)
	54.7%	x
	45.6%	-1/3

Compiler

Compiled 56 to 44 computations (21.4% saved)

localize126.0ms (3.8%)

Localize:

Found 2 expressions with local error:

New	Accuracy	Program
✓	100.0%	(+.f64 x 2/3)
✓	99.3%	(-.f64 (+.f64 x 2/3) 1)

Compiler

Compiled 13 to 10 computations (23.1% saved)

series0.0ms (0%)

Counts

2 → 24

Calls

6 calls:

Time	Variable		Point	Expression
0.0ms	x	@	0	(-.f64 (+.f64 x 2/3) 1)
0.0ms	x	@	inf	(-.f64 (+.f64 x 2/3) 1)
0.0ms	x	@	-inf	(-.f64 (+.f64 x 2/3) 1)
0.0ms	x	@	inf	(+.f64 x 2/3)
0.0ms	x	@	0	(+.f64 x 2/3)

rewrite78.0ms (2.3%)

Algorithm

1×	batch-egg-rewrite

Rules

602×	`unpow-prod-down`
480×	`log1p-expm1-u`
480×	`expm1-log1p-u`
449×	`add-exp-log`
436×	`add-log-exp`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	20
1	101	20
2	1313	20

Stop Event

1×	node limit

Counts

2 → 123

Calls

Call 1

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

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

simplify96.0ms (2.9%)

Algorithm

1×	egg-herbie

Rules

1580×	`fma-neg`
1386×	`fma-def`
968×	`unswap-sqr`
418×	`cancel-sign-sub-inv`
386×	`*-commutative`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	283	3275
1	621	3106
2	1852	2902
3	7495	2902

Stop Event

1×	node limit

Counts

147 → 161

Calls

Call 1

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

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

eval235.0ms (7%)

Compiler: Compiled 1749 to 1422 computations (18.7% saved)

prune21.0ms (0.6%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	161	0	161
Fresh	0	2	2
Picked	0	1	1
Done	0	2	2
Total	161	5	166

Accuracy

100.0%

Counts

166 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	65.9%	(/.f64 (+.f64 (pow.f64 x 3) -1/27) (+.f64 1/9 (*.f64 x (-.f64 x -1/3))))
✓	99.3%	(-.f64 (+.f64 x 2/3) 1)
✓	100.0%	(+.f64 x -1/3)
	54.7%	x
	45.6%	-1/3
✓	65.9%	(/.f64 (+.f64 (pow.f64 x 3) -1/27) (+.f64 1/9 (*.f64 x (-.f64 x -1/3))))
✓	99.3%	(-.f64 (+.f64 x 2/3) 1)
✓	100.0%	(+.f64 x -1/3)
	54.7%	x
	45.6%	-1/3

Compiler

Compiled 56 to 44 computations (21.4% saved)

localize0.0ms (0%)

eval0.0ms (0%)

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

prune6.0ms (0.2%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Kept	Total
New	0	0
Fresh	2	2
Picked	0	0
Done	3	3
Total	5	5

Accuracy

100.0%

Counts

5 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	65.9%	(/.f64 (+.f64 (pow.f64 x 3) -1/27) (+.f64 1/9 (*.f64 x (-.f64 x -1/3))))
✓	99.3%	(-.f64 (+.f64 x 2/3) 1)
✓	100.0%	(+.f64 x -1/3)
	54.7%	x
	45.6%	-1/3

Compiler

Compiled 69 to 54 computations (21.7% saved)

regimes11.0ms (0.3%)

Counts

8 → 1

Calls

Call 1

Inputs
-1/3
x
(+.f64 x -1/3)
(-.f64 x (/.f64 1 3))
(-.f64 (+.f64 x 2/3) 1)
(-.f64 (+.f64 1 (+.f64 x -1/3)) 1)
(/.f64 (+.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:

5.0ms	x
4.0ms	(-.f64 x (/.f64 1 3))

Results

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

Compiler

Compiled 49 to 38 computations (22.4% saved)

regimes10.0ms (0.3%)

Compiler: Compiled 5 to 3 computations (40% saved)

end0.0ms (0%)

Calls

1 calls:

9.0ms

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

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%)

sample1.2s (35.2%)

preprocess123.0ms (3.6%)

eval0.0ms (0%)

prune1.0ms (0%)

localize17.0ms (0.5%)

series1.0ms (0%)

rewrite222.0ms (6.6%)

simplify93.0ms (2.8%)

eval39.0ms (1.2%)

prune17.0ms (0.5%)

localize111.0ms (3.3%)

series6.0ms (0.2%)

rewrite255.0ms (7.6%)

simplify220.0ms (6.5%)

eval397.0ms (11.8%)

prune92.0ms (2.7%)

localize126.0ms (3.8%)

series0.0ms (0%)

rewrite78.0ms (2.3%)

simplify96.0ms (2.9%)

eval235.0ms (7%)

prune21.0ms (0.6%)

localize0.0ms (0%)

eval0.0ms (0%)

prune6.0ms (0.2%)

regimes11.0ms (0.3%)

regimes10.0ms (0.3%)

end0.0ms (0%)

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