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)

sample869.0ms (32.4%)

Results

860.0ms

8256×

256

valid

Bogosity

preprocess97.0ms (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-`

FPErrors

Click to see full error table

Example	Example	Subexpression
-	-	`x`
-	-	`(-.f64 x (/.f64 1 3))`
-	-	`3`
-	-	`(/.f64 1 3)`
-	-	`1`

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 32 to 27 computations (15.6% saved)

eval0.0ms (0%)

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

prune1.0ms (0%)

Alt Table

Click to see full alt table

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

Compiler

Compiled 4 to 3 computations (25% saved)

localize17.0ms (0.6%)

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)

rewrite215.0ms (8%)

Algorithm

1×	batch-egg-rewrite

Rules

928×	`frac-times`
334×	`unpow-prod-down`
283×	`log1p-expm1-u`
283×	`expm1-log1p-u`
267×	`add-exp-log`

Iterations

Useful iterations: 0 (0.0ms)

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)

simplify157.0ms (5.9%)

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)

eval51.0ms (1.9%)

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

prune15.0ms (0.6%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	111	4	115
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	111	5	116

Accuracy

100.0%

Counts

116 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	66.6%	(/.f64 (+.f64 (pow.f64 x 3) -1/27) (+.f64 1/9 (*.f64 x (-.f64 x -1/3))))
✓	100.0%	(+.f64 x -1/3)
▶	74.1%	(*.f64 (fma.f64 x x -1/9) (/.f64 1 (+.f64 x 1/3)))
▶	50.8%	x
▶	51.0%	-1/3

Compiler

Compiled 33 to 25 computations (24.2% saved)

localize104.0ms (3.9%)

Localize:

Found 7 expressions with local error:

New	Accuracy	Program
✓	100.0%	(-.f64 x -1/3)
✓	100.0%	(+.f64 1/9 (*.f64 x (-.f64 x -1/3)))
✓	99.7%	(*.f64 x (-.f64 x -1/3))
✓	67.4%	(/.f64 (+.f64 (pow.f64 x 3) -1/27) (+.f64 1/9 (*.f64 x (-.f64 x -1/3))))
✓	100.0%	(+.f64 x 1/3)
✓	100.0%	(/.f64 1 (+.f64 x 1/3))
✓	74.1%	(*.f64 (fma.f64 x x -1/9) (/.f64 1 (+.f64 x 1/3)))

Compiler

Compiled 71 to 51 computations (28.2% saved)

series6.0ms (0.2%)

Counts

7 → 84

Calls

21 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 (fma.f64 x x -1/9) (/.f64 1 (+.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 (fma.f64 x x -1/9) (/.f64 1 (+.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))))

rewrite194.0ms (7.2%)

Algorithm

1×	batch-egg-rewrite

Rules

893×	`log1p-expm1-u`
728×	`prod-diff`
683×	`expm1-log1p-u`
440×	`expm1-udef`
440×	`log1p-udef`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	23	156
1	306	128
2	3887	128

Stop Event

1×	node limit

Counts

7 → 237

Calls

Call 1

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

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

simplify132.0ms (4.9%)

Algorithm

1×	egg-herbie

Rules

1992×	`fma-def`
738×	`log-prod`
494×	`exp-prod`
424×	`associate-r`
408×	`div-sub`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	444	8773
1	1009	7980
2	4366	7830

Stop Event

1×	node limit

Counts

321 → 291

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

eval125.0ms (4.7%)

Compiler: Compiled 4876 to 3731 computations (23.5% saved)

prune97.0ms (3.6%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	290	1	291
Fresh	0	0	0
Picked	2	2	4
Done	0	1	1
Total	292	4	296

Accuracy

100.0%

Counts

296 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(+.f64 x -1/3)
▶	50.1%	(.f64 (fma.f64 x x -1/9) (+.f64 3 (.f64 x -9)))
✓	50.8%	x
✓	51.0%	-1/3

Compiler

Compiled 19 to 14 computations (26.3% saved)

localize44.0ms (1.6%)

Localize:

Found 2 expressions with local error:

New	Accuracy	Program
✓	100.0%	(+.f64 3 (*.f64 x -9))
✓	99.9%	(.f64 (fma.f64 x x -1/9) (+.f64 3 (.f64 x -9)))

Compiler

Compiled 28 to 20 computations (28.6% saved)

series1.0ms (0%)

Counts

2 → 24

Calls

6 calls:

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

rewrite109.0ms (4.1%)

Algorithm

1×	batch-egg-rewrite

Rules

940×	`unpow-prod-down`
649×	`log1p-expm1-u`
649×	`expm1-log1p-u`
642×	`log-prod`
586×	`prod-diff`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	13	52
1	128	44
2	1755	44

Stop Event

1×	node limit

Counts

2 → 125

Calls

Call 1

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

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

simplify209.0ms (7.8%)

Algorithm

1×	egg-herbie

Rules

1762×	`fma-def`
1120×	`log-prod`
998×	`fma-neg`
372×	`exp-prod`
356×	`associate-r`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	324	5473
1	760	4955
2	2374	4193
3	7196	4193

Stop Event

1×	node limit

Counts

149 → 172

Calls

Call 1

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

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

eval76.0ms (2.8%)

Compiler: Compiled 2921 to 2222 computations (23.9% saved)

prune23.0ms (0.8%)

Pruning

4 alts after pruning (0 fresh and 4 done)

	Pruned	Kept	Total
New	172	0	172
Fresh	0	0	0
Picked	0	1	1
Done	0	3	3
Total	172	4	176

Accuracy

100.0%

Counts

176 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(+.f64 x -1/3)
✓	50.1%	(.f64 (fma.f64 x x -1/9) (+.f64 3 (.f64 x -9)))
✓	50.8%	x
✓	51.0%	-1/3

Compiler

Compiled 63 to 46 computations (27% saved)

regimes47.0ms (1.8%)

Counts

7 → 1

Calls

Call 1

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

Outputs
(+.f64 x -1/3)

Calls

2 calls:

42.0ms	(-.f64 x (/.f64 1 3))
5.0ms	x

Results

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

Compiler

Compiled 8 to 6 computations (25% saved)

regimes11.0ms (0.4%)

Counts

2 → 3

Calls

Call 1

Inputs
-1/3
x

Outputs
x
-1/3
x

Calls

1 calls:

10.0ms

Results

Accuracy	Segments	Branch
98.3%	3	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes3.0ms (0.1%)

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

Inputs
-1/3

Outputs
-1/3

Calls

1 calls:

3.0ms

Results

Accuracy	Segments	Branch
51.0%	1	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

bsearch29.0ms (1.1%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
15.0ms	1.2448071516788204e-10	437.1538754056574
13.0ms	-120.74305175095283	-1.0411212263670439e-5

Results

25.0ms

304×

256

valid

Compiler

Compiled 124 to 103 computations (16.9% saved)

simplify3.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

2×	`+-commutative`
2×	`if-if-or-not`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	44
1	22	44

Stop Event

1×	done
1×	saturated

Calls

Call 1

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

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

Compiler

Compiled 18 to 13 computations (27.8% saved)

soundness20.0ms (0.7%)

Rules

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

Iterations

Useful iterations: 2 (0.0ms)

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

Stop Event

1×

saturated

Compiler

Compiled 19 to 15 computations (21.1% saved)

end0.0ms (0%)

preprocess30.0ms (1.1%)

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

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

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

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

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

analyze0.0ms (0%)

sample869.0ms (32.4%)

preprocess97.0ms (3.6%)

eval0.0ms (0%)

prune1.0ms (0%)

localize17.0ms (0.6%)

series1.0ms (0%)

rewrite215.0ms (8%)

simplify157.0ms (5.9%)

eval51.0ms (1.9%)

prune15.0ms (0.6%)

localize104.0ms (3.9%)

series6.0ms (0.2%)

rewrite194.0ms (7.2%)

simplify132.0ms (4.9%)

eval125.0ms (4.7%)

prune97.0ms (3.6%)

localize44.0ms (1.6%)

series1.0ms (0%)

rewrite109.0ms (4.1%)

simplify209.0ms (7.8%)

eval76.0ms (2.8%)

prune23.0ms (0.8%)

regimes47.0ms (1.8%)

regimes11.0ms (0.4%)

regimes3.0ms (0.1%)

bsearch29.0ms (1.1%)

simplify3.0ms (0.1%)

soundness20.0ms (0.7%)

end0.0ms (0%)

preprocess30.0ms (1.1%)

Profiling

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

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