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

analyze0.0ms (0%)

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	100%	0%	0%	0%	0%	0
100%	100%	0%	0%	0%	0%	0%	1

Compiler

Compiled 7 to 6 computations (14.3% saved)

sample1.3s (34.1%)

Results

1.3s

8256×

body

256

valid

Bogosity

preprocess101.0ms (2.7%)

Algorithm

1×	egg-herbie

Rules

20×	`sub-neg`
12×	`fma-def`
10×	`+-commutative`
6×	`associate-+l-`
4×	`associate-+r+`

Problems

256×

No Errors

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	11	25
1	20	23
2	30	21
3	41	21
4	49	21
5	60	21
6	74	21
7	78	21

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))

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)

Compiler

Compiled 19 to 16 computations (15.8% saved)

eval0.0ms (0%)

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

prune1.0ms (0%)

Alt Table

Click to see full alt table

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

Compiler

Compiled 8 to 6 computations (25% saved)

localize55.0ms (1.4%)

Localize:

Found 1 expressions with local error:

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

Compiler

Compiled 7 to 5 computations (28.6% saved)

series1.0ms (0%)

Counts

1 → 12

Calls

3 calls:

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

rewrite145.0ms (3.8%)

Algorithm

1×	batch-egg-rewrite

Rules

1142×	`pow1`
1068×	`add-exp-log`
1068×	`log1p-expm1-u`
1068×	`expm1-log1p-u`
1050×	`add-log-exp`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	7
1	111	7
2	1392	7

Stop Event

1×	node limit

Counts

1 → 30

Calls

Call 1

Inputs
(+.f64 x -1/3)

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

simplify105.0ms (2.7%)

Algorithm

1×	egg-herbie

Rules

1702×	`fma-def`
1262×	`distribute-rgt-in`
1238×	`distribute-lft-in`
612×	`associate-r`
554×	`associate-l`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	80	646
1	189	586
2	586	490
3	3159	490

Stop Event

1×	node limit

Counts

42 → 37

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

eval9.0ms (0.2%)

Compiler: Compiled 309 to 228 computations (26.2% saved)

prune24.0ms (0.6%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	33	4	37
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	33	5	38

Accuracy

100.0%

Counts

38 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	79.5%	(/.f64 1 (/.f64 (+.f64 x 1/3) (fma.f64 x x -1/9)))
▶	99.2%	(-.f64 (+.f64 1 (+.f64 x -1/3)) 1)
✓	100.0%	(+.f64 x -1/3)
	46.7%	x
	55.4%	-1/3
▶	79.5%	(/.f64 1 (/.f64 (+.f64 x 1/3) (fma.f64 x x -1/9)))
▶	99.2%	(-.f64 (+.f64 1 (+.f64 x -1/3)) 1)
✓	100.0%	(+.f64 x -1/3)
	46.7%	x
	55.4%	-1/3

Compiler

Compiled 54 to 42 computations (22.2% saved)

localize260.0ms (6.8%)

Localize:

Found 7 expressions with local error:

New	Accuracy	Program
✓	100.0%	(fma.f64 x x -1/9)
✓	100.0%	(+.f64 x 1/3)
✓	99.8%	(/.f64 1 (/.f64 (+.f64 x 1/3) (fma.f64 x x -1/9)))
✓	79.5%	(/.f64 (+.f64 x 1/3) (fma.f64 x x -1/9))
	100.0%	(+.f64 x -1/3)
✓	99.2%	(+.f64 1 (+.f64 x -1/3))
✓	99.2%	(-.f64 (+.f64 1 (+.f64 x -1/3)) 1)

Compiler

Compiled 49 to 35 computations (28.6% saved)

series9.0ms (0.2%)

Counts

6 → 72

Calls

18 calls:

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

rewrite190.0ms (5%)

Algorithm

1×	batch-egg-rewrite

Rules

1606×	`prod-diff`
1232×	`fma-def`
524×	`expm1-udef`
520×	`log1p-udef`
456×	`fma-neg`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	15	88
1	348	50
2	4834	50

Stop Event

1×	node limit

Counts

6 → 417

Calls

Call 1

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

Outputs
(+.f64 1 (+.f64 x -4/3))
(+.f64 1 (*.f64 (+.f64 x -4/3) 1))
(+.f64 x -1/3)
(+.f64 -1/3 x)
(+.f64 (+.f64 x -1/3) 0)
(+.f64 (+.f64 x 2/3) -1)
(+.f64 -1 (+.f64 x 2/3))
(+.f64 (+.f64 1 x) -4/3)
(+.f64 (+.f64 x -4/3) 1)
(+.f64 (.f64 (/.f64 1 (+.f64 x 1/3)) (.f64 x x)) (*.f64 (/.f64 1 (+.f64 x 1/3)) -1/9))
(+.f64 (.f64 (.f64 x x) (/.f64 1 (+.f64 x 1/3))) (*.f64 -1/9 (/.f64 1 (+.f64 x 1/3))))
(*.f64 1 (+.f64 x -1/3))
(*.f64 (+.f64 x -1/3) 1)
(*.f64 (fma.f64 x x -1/9) (/.f64 1 (+.f64 x 1/3)))
(*.f64 (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 -1 (/.f64 1 (/.f64 -1 (+.f64 x -1/3))))
(.f64 (+.f64 -1/27 (pow.f64 x 3)) (/.f64 1 (-.f64 (fma.f64 x x 1/9) (.f64 x -1/3))))
(*.f64 (+.f64 (pow.f64 (+.f64 x 2/3) 3) -1) (/.f64 1 (+.f64 (pow.f64 (+.f64 x 2/3) 2) (+.f64 (+.f64 x -1/3) 2))))
(*.f64 (+.f64 (pow.f64 (+.f64 x 2/3) 2) -1) (/.f64 1 (+.f64 (+.f64 x -1/3) 2)))
(*.f64 (/.f64 1 (+.f64 x 1/3)) (fma.f64 x x -1/9))
(*.f64 (/.f64 1 (+.f64 x 1/3)) (pow.f64 (/.f64 1 (fma.f64 x x -1/9)) -1))
(*.f64 (pow.f64 (pow.f64 (/.f64 1 (cbrt.f64 (+.f64 x -1/3))) 2) -1) (pow.f64 (/.f64 1 (cbrt.f64 (+.f64 x -1/3))) -1))
(*.f64 (pow.f64 (/.f64 1 (sqrt.f64 (+.f64 x -1/3))) -1) (pow.f64 (/.f64 1 (sqrt.f64 (+.f64 x -1/3))) -1))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 x 1/3)) 2)) (/.f64 (fma.f64 x x -1/9) (cbrt.f64 (+.f64 x 1/3))))
(*.f64 (/.f64 1 (sqrt.f64 (+.f64 x 1/3))) (/.f64 (fma.f64 x x -1/9) (sqrt.f64 (+.f64 x 1/3))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 x x -1/9)) 2) 1) (/.f64 (cbrt.f64 (fma.f64 x x -1/9)) (+.f64 x 1/3)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 x x -1/9)) 2) (pow.f64 (cbrt.f64 (+.f64 x 1/3)) 2)) (cbrt.f64 (+.f64 x -1/3)))
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(+.f64 (*.f64 x x) -1/9)
(+.f64 (.f64 (.f64 x x) 1) -1/9)
(-.f64 (*.f64 x x) 1/9)
(-.f64 (exp.f64 (log1p.f64 (fma.f64 x x -1/9))) 1)
(*.f64 1 (fma.f64 x x -1/9))
(*.f64 (fma.f64 x x -1/9) 1)
(*.f64 (cbrt.f64 (fma.f64 x x -1/9)) (pow.f64 (cbrt.f64 (fma.f64 x x -1/9)) 2))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 x x -1/9)) 2) (cbrt.f64 (fma.f64 x x -1/9)))
(*.f64 (sqrt.f64 (fma.f64 x x -1/9)) (sqrt.f64 (fma.f64 x x -1/9)))
(/.f64 (+.f64 (pow.f64 (.f64 x x) 3) -1/729) (fma.f64 (.f64 x x) (.f64 x x) (-.f64 1/81 (.f64 (*.f64 x x) -1/9))))
(/.f64 (-.f64 (pow.f64 (.f64 x x) 3) 1/729) (fma.f64 (.f64 x x) (.f64 x x) (+.f64 1/81 (.f64 (*.f64 x x) 1/9))))
(/.f64 (fma.f64 (.f64 x x) (.f64 x x) -1/81) (fma.f64 x x 1/9))
(pow.f64 (fma.f64 x x -1/9) 1)
(pow.f64 (cbrt.f64 (fma.f64 x x -1/9)) 3)
(pow.f64 (pow.f64 (fma.f64 x x -1/9) 3) 1/3)
(pow.f64 (sqrt.f64 (fma.f64 x x -1/9)) 2)
(sqrt.f64 (pow.f64 (fma.f64 x x -1/9) 2))
(log.f64 (exp.f64 (fma.f64 x x -1/9)))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 x x -1/9))))
(cbrt.f64 (pow.f64 (fma.f64 x x -1/9) 3))
(expm1.f64 (log1p.f64 (fma.f64 x x -1/9)))
(exp.f64 (log.f64 (fma.f64 x x -1/9)))
(exp.f64 (*.f64 (log.f64 (fma.f64 x x -1/9)) 1))
(log1p.f64 (expm1.f64 (fma.f64 x x -1/9)))

simplify325.0ms (8.5%)

Algorithm

1×	egg-herbie

Rules

1014×	`fma-neg`
804×	`times-frac`
606×	`log-prod`
496×	`associate-r`
450×	`exp-prod`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	596	8675
1	1342	8137
2	6065	8133

Stop Event

1×	node limit

Counts

489 → 418

Calls

Call 1

Inputs
-1/3
(-.f64 x 1/3)
(-.f64 x 1/3)
(-.f64 x 1/3)
x
(-.f64 x 1/3)
(-.f64 x 1/3)
(-.f64 x 1/3)
x
(-.f64 x 1/3)
(-.f64 x 1/3)
(-.f64 x 1/3)
2/3
(+.f64 2/3 x)
(+.f64 2/3 x)
(+.f64 2/3 x)
x
(+.f64 2/3 x)
(+.f64 2/3 x)
(+.f64 2/3 x)
x
(+.f64 2/3 x)
(+.f64 2/3 x)
(+.f64 2/3 x)
-3
(-.f64 (*.f64 -9 x) 3)
(-.f64 (+.f64 (.f64 -27 (pow.f64 x 2)) (.f64 -9 x)) 3)
(-.f64 (+.f64 (.f64 -81 (pow.f64 x 3)) (+.f64 (.f64 -27 (pow.f64 x 2)) (*.f64 -9 x))) 3)
(/.f64 1 x)
(+.f64 (/.f64 1 x) (*.f64 1/3 (/.f64 1 (pow.f64 x 2))))
(+.f64 (.f64 1/9 (/.f64 1 (pow.f64 x 3))) (+.f64 (.f64 1/3 (/.f64 1 (pow.f64 x 2))) (/.f64 1 x)))
(+.f64 (.f64 1/27 (/.f64 1 (pow.f64 x 4))) (+.f64 (.f64 1/9 (/.f64 1 (pow.f64 x 3))) (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 x 2))) (/.f64 1 x))))
(/.f64 1 x)
(+.f64 (/.f64 1 x) (*.f64 1/3 (/.f64 1 (pow.f64 x 2))))
(+.f64 (.f64 1/9 (/.f64 1 (pow.f64 x 3))) (+.f64 (.f64 1/3 (/.f64 1 (pow.f64 x 2))) (/.f64 1 x)))
(+.f64 (.f64 1/27 (/.f64 1 (pow.f64 x 4))) (+.f64 (.f64 1/9 (/.f64 1 (pow.f64 x 3))) (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 x 2))) (/.f64 1 x))))
-1/3
(-.f64 x 1/3)
(-.f64 x 1/3)
(-.f64 x 1/3)
x
(-.f64 x 1/3)
(-.f64 x 1/3)
(-.f64 x 1/3)
x
(-.f64 x 1/3)
(-.f64 x 1/3)
(-.f64 x 1/3)
1/3
(+.f64 1/3 x)
(+.f64 1/3 x)
(+.f64 1/3 x)
x
(+.f64 1/3 x)
(+.f64 1/3 x)
(+.f64 1/3 x)
x
(+.f64 1/3 x)
(+.f64 1/3 x)
(+.f64 1/3 x)
-1/9
(-.f64 (pow.f64 x 2) 1/9)
(-.f64 (pow.f64 x 2) 1/9)
(-.f64 (pow.f64 x 2) 1/9)
(pow.f64 x 2)
(-.f64 (pow.f64 x 2) 1/9)
(-.f64 (pow.f64 x 2) 1/9)
(-.f64 (pow.f64 x 2) 1/9)
(pow.f64 x 2)
(-.f64 (pow.f64 x 2) 1/9)
(-.f64 (pow.f64 x 2) 1/9)
(-.f64 (pow.f64 x 2) 1/9)
(+.f64 1 (+.f64 x -4/3))
(+.f64 1 (*.f64 (+.f64 x -4/3) 1))
(+.f64 x -1/3)
(+.f64 -1/3 x)
(+.f64 (+.f64 x -1/3) 0)
(+.f64 (+.f64 x 2/3) -1)
(+.f64 -1 (+.f64 x 2/3))
(+.f64 (+.f64 1 x) -4/3)
(+.f64 (+.f64 x -4/3) 1)
(+.f64 (.f64 (/.f64 1 (+.f64 x 1/3)) (.f64 x x)) (*.f64 (/.f64 1 (+.f64 x 1/3)) -1/9))
(+.f64 (.f64 (.f64 x x) (/.f64 1 (+.f64 x 1/3))) (*.f64 -1/9 (/.f64 1 (+.f64 x 1/3))))
(*.f64 1 (+.f64 x -1/3))
(*.f64 (+.f64 x -1/3) 1)
(*.f64 (fma.f64 x x -1/9) (/.f64 1 (+.f64 x 1/3)))
(*.f64 (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 -1 (/.f64 1 (/.f64 -1 (+.f64 x -1/3))))
(.f64 (+.f64 -1/27 (pow.f64 x 3)) (/.f64 1 (-.f64 (fma.f64 x x 1/9) (.f64 x -1/3))))
(*.f64 (+.f64 (pow.f64 (+.f64 x 2/3) 3) -1) (/.f64 1 (+.f64 (pow.f64 (+.f64 x 2/3) 2) (+.f64 (+.f64 x -1/3) 2))))
(*.f64 (+.f64 (pow.f64 (+.f64 x 2/3) 2) -1) (/.f64 1 (+.f64 (+.f64 x -1/3) 2)))
(*.f64 (/.f64 1 (+.f64 x 1/3)) (fma.f64 x x -1/9))
(*.f64 (/.f64 1 (+.f64 x 1/3)) (pow.f64 (/.f64 1 (fma.f64 x x -1/9)) -1))
(*.f64 (pow.f64 (pow.f64 (/.f64 1 (cbrt.f64 (+.f64 x -1/3))) 2) -1) (pow.f64 (/.f64 1 (cbrt.f64 (+.f64 x -1/3))) -1))
(*.f64 (pow.f64 (/.f64 1 (sqrt.f64 (+.f64 x -1/3))) -1) (pow.f64 (/.f64 1 (sqrt.f64 (+.f64 x -1/3))) -1))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 x 1/3)) 2)) (/.f64 (fma.f64 x x -1/9) (cbrt.f64 (+.f64 x 1/3))))
(*.f64 (/.f64 1 (sqrt.f64 (+.f64 x 1/3))) (/.f64 (fma.f64 x x -1/9) (sqrt.f64 (+.f64 x 1/3))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 x x -1/9)) 2) 1) (/.f64 (cbrt.f64 (fma.f64 x x -1/9)) (+.f64 x 1/3)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 x x -1/9)) 2) (pow.f64 (cbrt.f64 (+.f64 x 1/3)) 2)) (cbrt.f64 (+.f64 x -1/3)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 x x -1/9)) 2) (sqrt.f64 (+.f64 x 1/3))) (/.f64 (cbrt.f64 (fma.f64 x x -1/9)) (sqrt.f64 (+.f64 x 1/3))))
(*.f64 (/.f64 (sqrt.f64 (fma.f64 x x -1/9)) 1) (/.f64 (sqrt.f64 (fma.f64 x x -1/9)) (+.f64 x 1/3)))
(*.f64 (/.f64 (sqrt.f64 (fma.f64 x x -1/9)) (pow.f64 (cbrt.f64 (+.f64 x 1/3)) 2)) (/.f64 (sqrt.f64 (fma.f64 x x -1/9)) (cbrt.f64 (+.f64 x 1/3))))
(*.f64 (+.f64 (sqrt.f64 (+.f64 x 2/3)) 1) (-.f64 (sqrt.f64 (+.f64 x 2/3)) 1))
(.f64 (.f64 (/.f64 1 (+.f64 x 1/3)) 1) (fma.f64 x x -1/9))
(.f64 (.f64 (/.f64 1 (+.f64 x 1/3)) (pow.f64 (cbrt.f64 (fma.f64 x x -1/9)) 2)) (cbrt.f64 (fma.f64 x x -1/9)))
(.f64 (.f64 (/.f64 1 (+.f64 x 1/3)) (sqrt.f64 (fma.f64 x x -1/9))) (sqrt.f64 (fma.f64 x x -1/9)))
(*.f64 (/.f64 1 (+.f64 -1/3 (neg.f64 x))) (neg.f64 (fma.f64 x x -1/9)))
(.f64 (/.f64 (fma.f64 x x -1/9) (+.f64 1/27 (pow.f64 x 3))) (-.f64 (fma.f64 x x 1/9) (.f64 x 1/3)))
(*.f64 (/.f64 (fma.f64 x x -1/9) (fma.f64 x x -1/9)) (+.f64 x -1/3))
(/.f64 1 (/.f64 1 (+.f64 x -1/3)))
(/.f64 1 (neg.f64 (/.f64 -1 (+.f64 x -1/3))))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (+.f64 x 2/3) 2) (+.f64 (+.f64 x -1/3) 2)) (+.f64 (pow.f64 (+.f64 x 2/3) 3) -1)))
(/.f64 1 (/.f64 (+.f64 (+.f64 x -1/3) 2) (+.f64 (pow.f64 (+.f64 x 2/3) 2) -1)))
(/.f64 1 (/.f64 (-.f64 (fma.f64 x x 1/9) (*.f64 x -1/3)) (+.f64 -1/27 (pow.f64 x 3))))
(/.f64 (fma.f64 x x -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 (+.f64 x -1/3)) (/.f64 1 (sqrt.f64 (+.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 -1 (/.f64 -1 (+.f64 x -1/3)))
(/.f64 (neg.f64 (fma.f64 x x -1/9)) (+.f64 -1/3 (neg.f64 x)))
(/.f64 (+.f64 -1/27 (pow.f64 x 3)) (-.f64 (fma.f64 x x 1/9) (*.f64 x -1/3)))
(/.f64 (+.f64 -1/27 (pow.f64 x 3)) (+.f64 1/9 (-.f64 (.f64 x x) (.f64 x -1/3))))
(/.f64 (+.f64 -1/27 (pow.f64 x 3)) (fma.f64 x x (+.f64 1/9 (*.f64 x 1/3))))
(/.f64 (+.f64 (pow.f64 (+.f64 x 2/3) 3) -1) (+.f64 (pow.f64 (+.f64 x 2/3) 2) (+.f64 (+.f64 x -1/3) 2)))
(/.f64 (+.f64 (pow.f64 (+.f64 x 2/3) 3) -1) (+.f64 (pow.f64 (+.f64 x 2/3) 2) (-.f64 1 (*.f64 (+.f64 x 2/3) -1))))
(/.f64 (+.f64 (pow.f64 (+.f64 x 2/3) 2) -1) (+.f64 (+.f64 x -1/3) 2))
(/.f64 (/.f64 1 (+.f64 x 1/3)) (/.f64 1 (fma.f64 x x -1/9)))
(/.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 x 2/3) 3) -1)) (neg.f64 (+.f64 (pow.f64 (+.f64 x 2/3) 2) (+.f64 (+.f64 x -1/3) 2))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 x 2/3) 2) -1)) (neg.f64 (+.f64 (+.f64 x -1/3) 2)))
(/.f64 (neg.f64 (+.f64 -1/27 (pow.f64 x 3))) (neg.f64 (-.f64 (fma.f64 x x 1/9) (*.f64 x -1/3))))
(/.f64 (/.f64 (fma.f64 x x -1/9) (sqrt.f64 (+.f64 x 1/3))) (sqrt.f64 (+.f64 x 1/3)))
(/.f64 (+.f64 1 (pow.f64 (+.f64 x -4/3) 3)) (+.f64 1 (-.f64 (*.f64 (+.f64 x -4/3) (+.f64 x -4/3)) (+.f64 x -4/3))))
(/.f64 (/.f64 (fma.f64 x x -1/9) 1) (+.f64 x 1/3))
(/.f64 (-.f64 1/9 (*.f64 x x)) (-.f64 -1/3 x))
(/.f64 (-.f64 1 (*.f64 (+.f64 x -4/3) (+.f64 x -4/3))) (-.f64 1 (+.f64 x -4/3)))
(/.f64 (/.f64 1 (pow.f64 (/.f64 1 (cbrt.f64 (+.f64 x -1/3))) 2)) (/.f64 1 (cbrt.f64 (+.f64 x -1/3))))
(/.f64 (/.f64 (fma.f64 x x -1/9) (pow.f64 (cbrt.f64 (+.f64 x 1/3)) 2)) (cbrt.f64 (+.f64 x 1/3)))
(pow.f64 (+.f64 x -1/3) 1)
(pow.f64 (/.f64 1 (+.f64 x -1/3)) -1)
(pow.f64 (cbrt.f64 (+.f64 x -1/3)) 3)
(pow.f64 (pow.f64 (+.f64 x -1/3) 3) 1/3)
(pow.f64 (sqrt.f64 (+.f64 x -1/3)) 2)
(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)))
(expm1.f64 (*.f64 (log1p.f64 (+.f64 x -1/3)) 1))
(hypot.f64 (sqrt.f64 (+.f64 x -1/3)) (sqrt.f64 (*.f64 (+.f64 x -1/3) (+.f64 x -4/3))))
(hypot.f64 (pow.f64 (/.f64 1 (sqrt.f64 (+.f64 x -1/3))) -1) (sqrt.f64 (*.f64 (+.f64 x -1/3) (+.f64 x -4/3))))
(exp.f64 (log.f64 (+.f64 x -1/3)))
(exp.f64 (*.f64 (neg.f64 (log.f64 (+.f64 x -1/3))) -1))
(exp.f64 (*.f64 (log.f64 (+.f64 x -1/3)) 1))
(log1p.f64 (expm1.f64 (+.f64 x -1/3)))
(fma.f64 1 x -1/3)
(fma.f64 1 (+.f64 x -1/3) 0)
(fma.f64 1 (+.f64 x 2/3) -1)
(fma.f64 1 (+.f64 1 x) -4/3)
(fma.f64 1 (+.f64 x -4/3) 1)
(fma.f64 x 1 -1/3)
(fma.f64 (+.f64 x -1/3) 1 0)
(fma.f64 (+.f64 x 2/3) 1 -1)
(fma.f64 (fma.f64 x x -1/9) (/.f64 1 (+.f64 x 1/3)) 0)
(fma.f64 (cbrt.f64 (+.f64 x -1/3)) (pow.f64 (cbrt.f64 (+.f64 x -1/3)) 2) 0)
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 x -1/3)) 2) (cbrt.f64 (+.f64 x -1/3)) 0)
(fma.f64 (cbrt.f64 (+.f64 x 2/3)) (pow.f64 (cbrt.f64 (+.f64 x 2/3)) 2) -1)
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 x 2/3)) 2) (cbrt.f64 (+.f64 x 2/3)) -1)
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 x 2/3)) 2) (*.f64 (cbrt.f64 (+.f64 x 2/3)) 1) -1)
(fma.f64 (cbrt.f64 x) (cbrt.f64 (*.f64 x x)) -1/3)
(fma.f64 (cbrt.f64 (*.f64 x x)) (cbrt.f64 x) -1/3)
(fma.f64 (.f64 x x) (/.f64 1 (+.f64 x 1/3)) (.f64 -1/9 (/.f64 1 (+.f64 x 1/3))))
(fma.f64 (sqrt.f64 (+.f64 x -1/3)) (sqrt.f64 (+.f64 x -1/3)) 0)
(fma.f64 (sqrt.f64 (+.f64 x 2/3)) (sqrt.f64 (+.f64 x 2/3)) -1)
(fma.f64 (sqrt.f64 (+.f64 x 2/3)) (*.f64 (sqrt.f64 (+.f64 x 2/3)) 1) -1)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) -1/3)
(fma.f64 -1 (/.f64 1 (/.f64 -1 (+.f64 x -1/3))) 0)
(fma.f64 (+.f64 -1/27 (pow.f64 x 3)) (/.f64 1 (-.f64 (fma.f64 x x 1/9) (*.f64 x -1/3))) 0)
(fma.f64 (+.f64 1 (pow.f64 (+.f64 x -1/3) 3)) (/.f64 1 (fma.f64 (+.f64 x -1/3) (+.f64 x -4/3) 1)) -1)
(fma.f64 (+.f64 (pow.f64 (+.f64 x 2/3) 3) -1) (/.f64 1 (+.f64 (pow.f64 (+.f64 x 2/3) 2) (+.f64 (+.f64 x -1/3) 2))) 0)
(fma.f64 (-.f64 1 (pow.f64 (+.f64 x -1/3) 2)) (/.f64 1 (-.f64 4/3 x)) -1)
(fma.f64 (+.f64 (pow.f64 (+.f64 x 2/3) 2) -1) (/.f64 1 (+.f64 (+.f64 x -1/3) 2)) 0)
(fma.f64 (/.f64 1 (+.f64 x 1/3)) (fma.f64 x x -1/9) 0)
(fma.f64 (/.f64 1 (+.f64 x 1/3)) (.f64 x x) (.f64 (/.f64 1 (+.f64 x 1/3)) -1/9))
(fma.f64 (/.f64 1 (+.f64 x 1/3)) (pow.f64 (/.f64 1 (fma.f64 x x -1/9)) -1) 0)
(fma.f64 (*.f64 (cbrt.f64 (+.f64 1 x)) (cbrt.f64 (+.f64 1 x))) (cbrt.f64 (+.f64 1 x)) -4/3)
(fma.f64 (*.f64 (cbrt.f64 (+.f64 x -4/3)) (cbrt.f64 (+.f64 x -4/3))) (cbrt.f64 (+.f64 x -4/3)) 1)
(fma.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (+.f64 1 x)) -4/3)
(fma.f64 (sqrt.f64 (+.f64 x -4/3)) (sqrt.f64 (+.f64 x -4/3)) 1)
(fma.f64 (pow.f64 (pow.f64 (/.f64 1 (cbrt.f64 (+.f64 x -1/3))) 2) -1) (pow.f64 (/.f64 1 (cbrt.f64 (+.f64 x -1/3))) -1) 0)
(fma.f64 (pow.f64 (/.f64 1 (sqrt.f64 (+.f64 x -1/3))) -1) (pow.f64 (/.f64 1 (sqrt.f64 (+.f64 x -1/3))) -1) 0)
(fma.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 x 1/3)) 2)) (/.f64 (fma.f64 x x -1/9) (cbrt.f64 (+.f64 x 1/3))) 0)
(fma.f64 (/.f64 1 (sqrt.f64 (+.f64 x 1/3))) (/.f64 (fma.f64 x x -1/9) (sqrt.f64 (+.f64 x 1/3))) 0)
(fma.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 x x -1/9)) 2) 1) (/.f64 (cbrt.f64 (fma.f64 x x -1/9)) (+.f64 x 1/3)) 0)
(fma.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 x x -1/9)) 2) (pow.f64 (cbrt.f64 (+.f64 x 1/3)) 2)) (cbrt.f64 (+.f64 x -1/3)) 0)
(fma.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 x x -1/9)) 2) (sqrt.f64 (+.f64 x 1/3))) (/.f64 (cbrt.f64 (fma.f64 x x -1/9)) (sqrt.f64 (+.f64 x 1/3))) 0)
(fma.f64 (/.f64 (sqrt.f64 (fma.f64 x x -1/9)) 1) (/.f64 (sqrt.f64 (fma.f64 x x -1/9)) (+.f64 x 1/3)) 0)
(fma.f64 (/.f64 (sqrt.f64 (fma.f64 x x -1/9)) (pow.f64 (cbrt.f64 (+.f64 x 1/3)) 2)) (/.f64 (sqrt.f64 (fma.f64 x x -1/9)) (cbrt.f64 (+.f64 x 1/3))) 0)
(fma.f64 (+.f64 (sqrt.f64 (+.f64 x 2/3)) 1) (-.f64 (sqrt.f64 (+.f64 x 2/3)) 1) 0)
(fma.f64 (+.f64 (sqrt.f64 (+.f64 x -1/3)) 1) (-.f64 (sqrt.f64 (+.f64 x -1/3)) 1) 1)
(fma.f64 (*.f64 (/.f64 1 (+.f64 x 1/3)) 1) (fma.f64 x x -1/9) 0)
(fma.f64 (*.f64 (/.f64 1 (+.f64 x 1/3)) (pow.f64 (cbrt.f64 (fma.f64 x x -1/9)) 2)) (cbrt.f64 (fma.f64 x x -1/9)) 0)
(fma.f64 (*.f64 (/.f64 1 (+.f64 x 1/3)) (sqrt.f64 (fma.f64 x x -1/9))) (sqrt.f64 (fma.f64 x x -1/9)) 0)
(fma.f64 (/.f64 1 (+.f64 -1/3 (neg.f64 x))) (neg.f64 (fma.f64 x x -1/9)) 0)
(fma.f64 (/.f64 (fma.f64 x x -1/9) (+.f64 1/27 (pow.f64 x 3))) (-.f64 (fma.f64 x x 1/9) (*.f64 x 1/3)) 0)
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(fma.f64 (sqrt.f64 (+.f64 x -1/3)) (sqrt.f64 (+.f64 x -1/3)) 0)
(fma.f64 (sqrt.f64 (+.f64 x 2/3)) (sqrt.f64 (+.f64 x 2/3)) -1)
(fma.f64 (sqrt.f64 (+.f64 x 2/3)) (*.f64 (sqrt.f64 (+.f64 x 2/3)) 1) -1)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) -1/3)
(fma.f64 -1 (/.f64 1 (/.f64 -1 (+.f64 x -1/3))) 0)
(fma.f64 (+.f64 -1/27 (pow.f64 x 3)) (/.f64 1 (-.f64 (fma.f64 x x 1/9) (*.f64 x -1/3))) 0)
(fma.f64 (+.f64 1 (pow.f64 (+.f64 x -1/3) 3)) (/.f64 1 (fma.f64 (+.f64 x -1/3) (+.f64 x -4/3) 1)) -1)
(fma.f64 (+.f64 (pow.f64 (+.f64 x 2/3) 3) -1) (/.f64 1 (+.f64 (pow.f64 (+.f64 x 2/3) 2) (+.f64 (+.f64 x -1/3) 2))) 0)
(fma.f64 (-.f64 1 (pow.f64 (+.f64 x -1/3) 2)) (/.f64 1 (-.f64 4/3 x)) -1)
(fma.f64 (+.f64 (pow.f64 (+.f64 x 2/3) 2) -1) (/.f64 1 (+.f64 (+.f64 x -1/3) 2)) 0)
(fma.f64 (/.f64 1 (+.f64 x 1/3)) (fma.f64 x x -1/9) 0)
(fma.f64 (/.f64 1 (+.f64 x 1/3)) (.f64 x x) (.f64 (/.f64 1 (+.f64 x 1/3)) -1/9))
(fma.f64 (/.f64 1 (+.f64 x 1/3)) (pow.f64 (/.f64 1 (fma.f64 x x -1/9)) -1) 0)
(fma.f64 (*.f64 (cbrt.f64 (+.f64 1 x)) (cbrt.f64 (+.f64 1 x))) (cbrt.f64 (+.f64 1 x)) -4/3)
(fma.f64 (*.f64 (cbrt.f64 (+.f64 x -4/3)) (cbrt.f64 (+.f64 x -4/3))) (cbrt.f64 (+.f64 x -4/3)) 1)
(fma.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (+.f64 1 x)) -4/3)
(fma.f64 (sqrt.f64 (+.f64 x -4/3)) (sqrt.f64 (+.f64 x -4/3)) 1)
(fma.f64 (pow.f64 (pow.f64 (/.f64 1 (cbrt.f64 (+.f64 x -1/3))) 2) -1) (pow.f64 (/.f64 1 (cbrt.f64 (+.f64 x -1/3))) -1) 0)
(fma.f64 (pow.f64 (/.f64 1 (sqrt.f64 (+.f64 x -1/3))) -1) (pow.f64 (/.f64 1 (sqrt.f64 (+.f64 x -1/3))) -1) 0)
(fma.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 x 1/3)) 2)) (/.f64 (fma.f64 x x -1/9) (cbrt.f64 (+.f64 x 1/3))) 0)
(fma.f64 (/.f64 1 (sqrt.f64 (+.f64 x 1/3))) (/.f64 (fma.f64 x x -1/9) (sqrt.f64 (+.f64 x 1/3))) 0)
(fma.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 x x -1/9)) 2) 1) (/.f64 (cbrt.f64 (fma.f64 x x -1/9)) (+.f64 x 1/3)) 0)
(fma.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 x x -1/9)) 2) (pow.f64 (cbrt.f64 (+.f64 x 1/3)) 2)) (cbrt.f64 (+.f64 x -1/3)) 0)
(fma.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 x x -1/9)) 2) (sqrt.f64 (+.f64 x 1/3))) (/.f64 (cbrt.f64 (fma.f64 x x -1/9)) (sqrt.f64 (+.f64 x 1/3))) 0)
(fma.f64 (/.f64 (sqrt.f64 (fma.f64 x x -1/9)) 1) (/.f64 (sqrt.f64 (fma.f64 x x -1/9)) (+.f64 x 1/3)) 0)
(fma.f64 (/.f64 (sqrt.f64 (fma.f64 x x -1/9)) (pow.f64 (cbrt.f64 (+.f64 x 1/3)) 2)) (/.f64 (sqrt.f64 (fma.f64 x x -1/9)) (cbrt.f64 (+.f64 x 1/3))) 0)
(fma.f64 (+.f64 (sqrt.f64 (+.f64 x 2/3)) 1) (-.f64 (sqrt.f64 (+.f64 x 2/3)) 1) 0)
(fma.f64 (+.f64 (sqrt.f64 (+.f64 x -1/3)) 1) (-.f64 (sqrt.f64 (+.f64 x -1/3)) 1) 1)
(fma.f64 (*.f64 (/.f64 1 (+.f64 x 1/3)) 1) (fma.f64 x x -1/9) 0)
(fma.f64 (*.f64 (/.f64 1 (+.f64 x 1/3)) (pow.f64 (cbrt.f64 (fma.f64 x x -1/9)) 2)) (cbrt.f64 (fma.f64 x x -1/9)) 0)
(fma.f64 (*.f64 (/.f64 1 (+.f64 x 1/3)) (sqrt.f64 (fma.f64 x x -1/9))) (sqrt.f64 (fma.f64 x x -1/9)) 0)
(fma.f64 (/.f64 1 (+.f64 -1/3 (neg.f64 x))) (neg.f64 (fma.f64 x x -1/9)) 0)
(fma.f64 (/.f64 (fma.f64 x x -1/9) (+.f64 1/27 (pow.f64 x 3))) (-.f64 (fma.f64 x x 1/9) (*.f64 x 1/3)) 0)
(fma.f64 (/.f64 (fma.f64 x x -1/9) (fma.f64 x x -1/9)) (+.f64 x -1/3) 0)
(-.f64 x -1/3)
(-.f64 (exp.f64 (log1p.f64 (+.f64 x 1/3))) 1)
(-.f64 (/.f64 (*.f64 x x) (+.f64 x -1/3)) (/.f64 1/9 (+.f64 x -1/3)))
(*.f64 1 (+.f64 x 1/3))
(*.f64 (+.f64 x 1/3) 1)
(*.f64 (fma.f64 x x -1/9) (/.f64 1 (+.f64 x -1/3)))
(*.f64 (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 1/27 (pow.f64 x 3)) (/.f64 1 (-.f64 (fma.f64 x x 1/9) (.f64 x 1/3))))
(/.f64 1 (/.f64 (-.f64 (fma.f64 x x 1/9) (*.f64 x 1/3)) (+.f64 1/27 (pow.f64 x 3))))
(/.f64 1 (/.f64 (+.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)) (neg.f64 (+.f64 x -1/3)))
(/.f64 (+.f64 1/27 (pow.f64 x 3)) (-.f64 (fma.f64 x x 1/9) (*.f64 x 1/3)))
(/.f64 (+.f64 1/27 (pow.f64 x 3)) (+.f64 1/9 (-.f64 (.f64 x x) (.f64 x 1/3))))
(/.f64 (+.f64 1/27 (pow.f64 x 3)) (fma.f64 x x (+.f64 1/9 (*.f64 x -1/3))))
(/.f64 (neg.f64 (+.f64 1/27 (pow.f64 x 3))) (neg.f64 (-.f64 (fma.f64 x x 1/9) (*.f64 x 1/3))))
(/.f64 (-.f64 1/9 (*.f64 x x)) (-.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 x 1 1/3)
(fma.f64 (cbrt.f64 x) (cbrt.f64 (*.f64 x x)) 1/3)
(fma.f64 (cbrt.f64 (*.f64 x x)) (cbrt.f64 x) 1/3)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) 1/3)
(+.f64 -1/9 (*.f64 x x))
(+.f64 (*.f64 x x) -1/9)
(+.f64 (.f64 (.f64 x x) 1) -1/9)
(-.f64 (*.f64 x x) 1/9)
(-.f64 (exp.f64 (log1p.f64 (fma.f64 x x -1/9))) 1)
(*.f64 1 (fma.f64 x x -1/9))
(*.f64 (fma.f64 x x -1/9) 1)
(*.f64 (cbrt.f64 (fma.f64 x x -1/9)) (pow.f64 (cbrt.f64 (fma.f64 x x -1/9)) 2))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 x x -1/9)) 2) (cbrt.f64 (fma.f64 x x -1/9)))
(*.f64 (sqrt.f64 (fma.f64 x x -1/9)) (sqrt.f64 (fma.f64 x x -1/9)))
(/.f64 (+.f64 (pow.f64 (.f64 x x) 3) -1/729) (fma.f64 (.f64 x x) (.f64 x x) (-.f64 1/81 (.f64 (*.f64 x x) -1/9))))
(/.f64 (-.f64 (pow.f64 (.f64 x x) 3) 1/729) (fma.f64 (.f64 x x) (.f64 x x) (+.f64 1/81 (.f64 (*.f64 x x) 1/9))))
(/.f64 (fma.f64 (.f64 x x) (.f64 x x) -1/81) (fma.f64 x x 1/9))
(pow.f64 (fma.f64 x x -1/9) 1)
(pow.f64 (cbrt.f64 (fma.f64 x x -1/9)) 3)
(pow.f64 (pow.f64 (fma.f64 x x -1/9) 3) 1/3)
(pow.f64 (sqrt.f64 (fma.f64 x x -1/9)) 2)
(sqrt.f64 (pow.f64 (fma.f64 x x -1/9) 2))
(log.f64 (exp.f64 (fma.f64 x x -1/9)))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 x x -1/9))))
(cbrt.f64 (pow.f64 (fma.f64 x x -1/9) 3))
(expm1.f64 (log1p.f64 (fma.f64 x x -1/9)))
(exp.f64 (log.f64 (fma.f64 x x -1/9)))
(exp.f64 (*.f64 (log.f64 (fma.f64 x x -1/9)) 1))
(log1p.f64 (expm1.f64 (fma.f64 x x -1/9)))

Outputs
-1/3
(-.f64 x 1/3)
(+.f64 -1/3 x)
(-.f64 x 1/3)
(+.f64 -1/3 x)
(-.f64 x 1/3)
(+.f64 -1/3 x)
x
(-.f64 x 1/3)
(+.f64 -1/3 x)
(-.f64 x 1/3)
(+.f64 -1/3 x)
(-.f64 x 1/3)
(+.f64 -1/3 x)
x
(-.f64 x 1/3)
(+.f64 -1/3 x)
(-.f64 x 1/3)
(+.f64 -1/3 x)
(-.f64 x 1/3)
(+.f64 -1/3 x)
2/3
(+.f64 2/3 x)
(+.f64 x 2/3)
(+.f64 2/3 x)
(+.f64 x 2/3)
(+.f64 2/3 x)
(+.f64 x 2/3)
x
(+.f64 2/3 x)
(+.f64 x 2/3)
(+.f64 2/3 x)
(+.f64 x 2/3)
(+.f64 2/3 x)
(+.f64 x 2/3)
x
(+.f64 2/3 x)
(+.f64 x 2/3)
(+.f64 2/3 x)
(+.f64 x 2/3)
(+.f64 2/3 x)
(+.f64 x 2/3)
-3
(-.f64 (*.f64 -9 x) 3)
(fma.f64 -9 x -3)
(fma.f64 x -9 -3)
(-.f64 (+.f64 (.f64 -27 (pow.f64 x 2)) (.f64 -9 x)) 3)
(+.f64 (.f64 -27 (.f64 x x)) (fma.f64 -9 x -3))
(fma.f64 -27 (*.f64 x x) (fma.f64 x -9 -3))
(-.f64 (+.f64 (.f64 -81 (pow.f64 x 3)) (+.f64 (.f64 -27 (pow.f64 x 2)) (*.f64 -9 x))) 3)
(+.f64 (fma.f64 -81 (pow.f64 x 3) (fma.f64 -27 (.f64 x x) (.f64 x -9))) -3)
(fma.f64 -81 (pow.f64 x 3) (fma.f64 -27 (*.f64 x x) (fma.f64 x -9 -3)))
(/.f64 1 x)
(+.f64 (/.f64 1 x) (*.f64 1/3 (/.f64 1 (pow.f64 x 2))))
(+.f64 (/.f64 1 x) (/.f64 1/3 (*.f64 x x)))
(+.f64 (.f64 1/9 (/.f64 1 (pow.f64 x 3))) (+.f64 (.f64 1/3 (/.f64 1 (pow.f64 x 2))) (/.f64 1 x)))
(+.f64 (/.f64 1/9 (pow.f64 x 3)) (+.f64 (/.f64 1 x) (/.f64 1/3 (*.f64 x x))))
(+.f64 (.f64 1/27 (/.f64 1 (pow.f64 x 4))) (+.f64 (.f64 1/9 (/.f64 1 (pow.f64 x 3))) (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 x 2))) (/.f64 1 x))))
(+.f64 (+.f64 (/.f64 1/27 (pow.f64 x 4)) (/.f64 1/9 (pow.f64 x 3))) (+.f64 (/.f64 1 x) (/.f64 1/3 (*.f64 x x))))
(+.f64 (/.f64 1/9 (pow.f64 x 3)) (+.f64 (+.f64 (/.f64 1 x) (/.f64 1/3 (*.f64 x x))) (/.f64 1/27 (pow.f64 x 4))))
(/.f64 1 x)
(+.f64 (/.f64 1 x) (*.f64 1/3 (/.f64 1 (pow.f64 x 2))))
(+.f64 (/.f64 1 x) (/.f64 1/3 (*.f64 x x)))
(+.f64 (.f64 1/9 (/.f64 1 (pow.f64 x 3))) (+.f64 (.f64 1/3 (/.f64 1 (pow.f64 x 2))) (/.f64 1 x)))
(+.f64 (/.f64 1/9 (pow.f64 x 3)) (+.f64 (/.f64 1 x) (/.f64 1/3 (*.f64 x x))))
(+.f64 (.f64 1/27 (/.f64 1 (pow.f64 x 4))) (+.f64 (.f64 1/9 (/.f64 1 (pow.f64 x 3))) (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 x 2))) (/.f64 1 x))))
(+.f64 (+.f64 (/.f64 1/27 (pow.f64 x 4)) (/.f64 1/9 (pow.f64 x 3))) (+.f64 (/.f64 1 x) (/.f64 1/3 (*.f64 x x))))
(+.f64 (/.f64 1/9 (pow.f64 x 3)) (+.f64 (+.f64 (/.f64 1 x) (/.f64 1/3 (*.f64 x x))) (/.f64 1/27 (pow.f64 x 4))))
-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)
1/3
(+.f64 1/3 x)
(+.f64 x 1/3)
(+.f64 1/3 x)
(+.f64 x 1/3)
(+.f64 1/3 x)
(+.f64 x 1/3)
x
(+.f64 1/3 x)
(+.f64 x 1/3)
(+.f64 1/3 x)
(+.f64 x 1/3)
(+.f64 1/3 x)
(+.f64 x 1/3)
x
(+.f64 1/3 x)
(+.f64 x 1/3)
(+.f64 1/3 x)
(+.f64 x 1/3)
(+.f64 1/3 x)
(+.f64 x 1/3)
-1/9
(-.f64 (pow.f64 x 2) 1/9)
(fma.f64 x x -1/9)
(-.f64 (pow.f64 x 2) 1/9)
(fma.f64 x x -1/9)
(-.f64 (pow.f64 x 2) 1/9)
(fma.f64 x x -1/9)
(pow.f64 x 2)
(*.f64 x x)
(-.f64 (pow.f64 x 2) 1/9)
(fma.f64 x x -1/9)
(-.f64 (pow.f64 x 2) 1/9)
(fma.f64 x x -1/9)
(-.f64 (pow.f64 x 2) 1/9)
(fma.f64 x x -1/9)
(pow.f64 x 2)
(*.f64 x x)
(-.f64 (pow.f64 x 2) 1/9)
(fma.f64 x x -1/9)
(-.f64 (pow.f64 x 2) 1/9)
(fma.f64 x x -1/9)
(-.f64 (pow.f64 x 2) 1/9)
(fma.f64 x x -1/9)
(+.f64 1 (+.f64 x -4/3))
(+.f64 -1/3 x)
(+.f64 1 (*.f64 (+.f64 x -4/3) 1))
(+.f64 -1/3 x)
(+.f64 x -1/3)
(+.f64 -1/3 x)
(+.f64 -1/3 x)
(+.f64 (+.f64 x -1/3) 0)
(+.f64 -1/3 x)
(+.f64 (+.f64 x 2/3) -1)
(+.f64 -1/3 x)
(+.f64 -1 (+.f64 x 2/3))
(+.f64 -1/3 x)
(+.f64 (+.f64 1 x) -4/3)
(+.f64 -1/3 x)
(+.f64 (+.f64 x -4/3) 1)
(+.f64 -1/3 x)
(+.f64 (.f64 (/.f64 1 (+.f64 x 1/3)) (.f64 x x)) (*.f64 (/.f64 1 (+.f64 x 1/3)) -1/9))
(/.f64 (fma.f64 x x -1/9) (+.f64 x 1/3))
(+.f64 (.f64 (.f64 x x) (/.f64 1 (+.f64 x 1/3))) (*.f64 -1/9 (/.f64 1 (+.f64 x 1/3))))
(/.f64 (fma.f64 x x -1/9) (+.f64 x 1/3))
(*.f64 1 (+.f64 x -1/3))
(+.f64 -1/3 x)
(*.f64 (+.f64 x -1/3) 1)
(+.f64 -1/3 x)
(*.f64 (fma.f64 x x -1/9) (/.f64 1 (+.f64 x 1/3)))
(/.f64 (fma.f64 x x -1/9) (+.f64 x 1/3))
(*.f64 (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 -1 (/.f64 1 (/.f64 -1 (+.f64 x -1/3))))
(+.f64 -1/3 x)
(.f64 (+.f64 -1/27 (pow.f64 x 3)) (/.f64 1 (-.f64 (fma.f64 x x 1/9) (.f64 x -1/3))))
(/.f64 1 (/.f64 (-.f64 (fma.f64 x x 1/9) (*.f64 -1/3 x)) (+.f64 (pow.f64 x 3) -1/27)))
(/.f64 (+.f64 (pow.f64 x 3) -1/27) (fma.f64 x (+.f64 x 1/3) 1/9))
(*.f64 (+.f64 (pow.f64 (+.f64 x 2/3) 3) -1) (/.f64 1 (+.f64 (pow.f64 (+.f64 x 2/3) 2) (+.f64 (+.f64 x -1/3) 2))))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (+.f64 x 2/3) 2) (+.f64 x 5/3)) (+.f64 -1 (pow.f64 (+.f64 x 2/3) 3))))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 x 2/3) 3)) (+.f64 (pow.f64 (+.f64 x 2/3) 2) (+.f64 x 5/3)))
(*.f64 (+.f64 (pow.f64 (+.f64 x 2/3) 2) -1) (/.f64 1 (+.f64 (+.f64 x -1/3) 2)))
(*.f64 (+.f64 -1 (pow.f64 (+.f64 x 2/3) 2)) (/.f64 1 (+.f64 x 5/3)))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 x 2/3) 2)) (+.f64 x 5/3))
(*.f64 (/.f64 1 (+.f64 x 1/3)) (fma.f64 x x -1/9))
(/.f64 (fma.f64 x x -1/9) (+.f64 x 1/3))
(*.f64 (/.f64 1 (+.f64 x 1/3)) (pow.f64 (/.f64 1 (fma.f64 x x -1/9)) -1))
(/.f64 (fma.f64 x x -1/9) (+.f64 x 1/3))
(*.f64 (pow.f64 (pow.f64 (/.f64 1 (cbrt.f64 (+.f64 x -1/3))) 2) -1) (pow.f64 (/.f64 1 (cbrt.f64 (+.f64 x -1/3))) -1))
(+.f64 -1/3 x)
(*.f64 (pow.f64 (/.f64 1 (sqrt.f64 (+.f64 x -1/3))) -1) (pow.f64 (/.f64 1 (sqrt.f64 (+.f64 x -1/3))) -1))
(+.f64 -1/3 x)
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 x 1/3)) 2)) (/.f64 (fma.f64 x x -1/9) (cbrt.f64 (+.f64 x 1/3))))
(/.f64 (fma.f64 x x -1/9) (+.f64 x 1/3))
(*.f64 (/.f64 1 (sqrt.f64 (+.f64 x 1/3))) (/.f64 (fma.f64 x x -1/9) (sqrt.f64 (+.f64 x 1/3))))
(/.f64 (fma.f64 x x -1/9) (+.f64 x 1/3))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 x x -1/9)) 2) 1) (/.f64 (cbrt.f64 (fma.f64 x x -1/9)) (+.f64 x 1/3)))
(/.f64 (fma.f64 x x -1/9) (+.f64 x 1/3))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 x x -1/9)) 2) (pow.f64 (cbrt.f64 (+.f64 x 1/3)) 2)) (cbrt.f64 (+.f64 x -1/3)))
(*.f64 (cbrt.f64 (+.f64 -1/3 x)) (/.f64 (pow.f64 (cbrt.f64 (fma.f64 x x -1/9)) 2) (pow.f64 (cbrt.f64 (+.f64 x 1/3)) 2)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 x x -1/9)) 2) (sqrt.f64 (+.f64 x 1/3))) (/.f64 (cbrt.f64 (fma.f64 x x -1/9)) (sqrt.f64 (+.f64 x 1/3))))
(/.f64 (fma.f64 x x -1/9) (+.f64 x 1/3))
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(/.f64 (fma.f64 x x -1/9) (+.f64 x 1/3))
(fma.f64 (/.f64 1 (+.f64 x 1/3)) (.f64 x x) (.f64 (/.f64 1 (+.f64 x 1/3)) -1/9))
(/.f64 (fma.f64 x x -1/9) (+.f64 x 1/3))
(fma.f64 (/.f64 1 (+.f64 x 1/3)) (pow.f64 (/.f64 1 (fma.f64 x x -1/9)) -1) 0)
(/.f64 (fma.f64 x x -1/9) (+.f64 x 1/3))
(fma.f64 (*.f64 (cbrt.f64 (+.f64 1 x)) (cbrt.f64 (+.f64 1 x))) (cbrt.f64 (+.f64 1 x)) -4/3)
(+.f64 -1/3 x)
(fma.f64 (*.f64 (cbrt.f64 (+.f64 x -4/3)) (cbrt.f64 (+.f64 x -4/3))) (cbrt.f64 (+.f64 x -4/3)) 1)
(+.f64 -1/3 x)
(fma.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (+.f64 1 x)) -4/3)
(+.f64 -1/3 x)
(fma.f64 (sqrt.f64 (+.f64 x -4/3)) (sqrt.f64 (+.f64 x -4/3)) 1)
(+.f64 -1/3 x)
(fma.f64 (pow.f64 (pow.f64 (/.f64 1 (cbrt.f64 (+.f64 x -1/3))) 2) -1) (pow.f64 (/.f64 1 (cbrt.f64 (+.f64 x -1/3))) -1) 0)
(+.f64 -1/3 x)
(fma.f64 (pow.f64 (/.f64 1 (sqrt.f64 (+.f64 x -1/3))) -1) (pow.f64 (/.f64 1 (sqrt.f64 (+.f64 x -1/3))) -1) 0)
(+.f64 -1/3 x)
(fma.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 x 1/3)) 2)) (/.f64 (fma.f64 x x -1/9) (cbrt.f64 (+.f64 x 1/3))) 0)
(/.f64 (fma.f64 x x -1/9) (+.f64 x 1/3))
(fma.f64 (/.f64 1 (sqrt.f64 (+.f64 x 1/3))) (/.f64 (fma.f64 x x -1/9) (sqrt.f64 (+.f64 x 1/3))) 0)
(/.f64 (fma.f64 x x -1/9) (+.f64 x 1/3))
(fma.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 x x -1/9)) 2) 1) (/.f64 (cbrt.f64 (fma.f64 x x -1/9)) (+.f64 x 1/3)) 0)
(/.f64 (fma.f64 x x -1/9) (+.f64 x 1/3))
(fma.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 x x -1/9)) 2) (pow.f64 (cbrt.f64 (+.f64 x 1/3)) 2)) (cbrt.f64 (+.f64 x -1/3)) 0)
(*.f64 (cbrt.f64 (+.f64 -1/3 x)) (/.f64 (pow.f64 (cbrt.f64 (fma.f64 x x -1/9)) 2) (pow.f64 (cbrt.f64 (+.f64 x 1/3)) 2)))
(fma.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 x x -1/9)) 2) (sqrt.f64 (+.f64 x 1/3))) (/.f64 (cbrt.f64 (fma.f64 x x -1/9)) (sqrt.f64 (+.f64 x 1/3))) 0)
(/.f64 (fma.f64 x x -1/9) (+.f64 x 1/3))
(fma.f64 (/.f64 (sqrt.f64 (fma.f64 x x -1/9)) 1) (/.f64 (sqrt.f64 (fma.f64 x x -1/9)) (+.f64 x 1/3)) 0)
(/.f64 (fma.f64 x x -1/9) (+.f64 x 1/3))
(fma.f64 (/.f64 (sqrt.f64 (fma.f64 x x -1/9)) (pow.f64 (cbrt.f64 (+.f64 x 1/3)) 2)) (/.f64 (sqrt.f64 (fma.f64 x x -1/9)) (cbrt.f64 (+.f64 x 1/3))) 0)
(/.f64 (fma.f64 x x -1/9) (+.f64 x 1/3))
(fma.f64 (+.f64 (sqrt.f64 (+.f64 x 2/3)) 1) (-.f64 (sqrt.f64 (+.f64 x 2/3)) 1) 0)
(+.f64 -1/3 x)
(fma.f64 (+.f64 (sqrt.f64 (+.f64 x -1/3)) 1) (-.f64 (sqrt.f64 (+.f64 x -1/3)) 1) 1)
(fma.f64 (+.f64 1 (sqrt.f64 (+.f64 -1/3 x))) (+.f64 (sqrt.f64 (+.f64 -1/3 x)) -1) 1)
(fma.f64 (+.f64 1 (sqrt.f64 (+.f64 -1/3 x))) (+.f64 -1 (sqrt.f64 (+.f64 -1/3 x))) 1)
(fma.f64 (*.f64 (/.f64 1 (+.f64 x 1/3)) 1) (fma.f64 x x -1/9) 0)
(/.f64 (fma.f64 x x -1/9) (+.f64 x 1/3))
(fma.f64 (*.f64 (/.f64 1 (+.f64 x 1/3)) (pow.f64 (cbrt.f64 (fma.f64 x x -1/9)) 2)) (cbrt.f64 (fma.f64 x x -1/9)) 0)
(/.f64 (fma.f64 x x -1/9) (+.f64 x 1/3))
(fma.f64 (*.f64 (/.f64 1 (+.f64 x 1/3)) (sqrt.f64 (fma.f64 x x -1/9))) (sqrt.f64 (fma.f64 x x -1/9)) 0)
(/.f64 (fma.f64 x x -1/9) (+.f64 x 1/3))
(fma.f64 (/.f64 1 (+.f64 -1/3 (neg.f64 x))) (neg.f64 (fma.f64 x x -1/9)) 0)
(*.f64 (/.f64 1 (-.f64 -1/3 x)) (neg.f64 (fma.f64 x x -1/9)))
(/.f64 (-.f64 1/9 (*.f64 x x)) (-.f64 -1/3 x))
(fma.f64 (/.f64 (fma.f64 x x -1/9) (+.f64 1/27 (pow.f64 x 3))) (-.f64 (fma.f64 x x 1/9) (*.f64 x 1/3)) 0)
(/.f64 (.f64 (fma.f64 x x -1/9) (-.f64 (fma.f64 x x 1/9) (.f64 x 1/3))) (+.f64 (pow.f64 x 3) 1/27))
(/.f64 (fma.f64 x x -1/9) (/.f64 (+.f64 (pow.f64 x 3) 1/27) (fma.f64 x (+.f64 -1/3 x) 1/9)))
(fma.f64 (/.f64 (fma.f64 x x -1/9) (fma.f64 x x -1/9)) (+.f64 x -1/3) 0)
(+.f64 -1/3 x)
(-.f64 x -1/3)
(+.f64 x 1/3)
(-.f64 (exp.f64 (log1p.f64 (+.f64 x 1/3))) 1)
(+.f64 x 1/3)
(-.f64 (/.f64 (*.f64 x x) (+.f64 x -1/3)) (/.f64 1/9 (+.f64 x -1/3)))
(-.f64 (/.f64 x (/.f64 (+.f64 -1/3 x) x)) (/.f64 1/9 (+.f64 -1/3 x)))
(/.f64 (fma.f64 x x -1/9) (+.f64 -1/3 x))
(*.f64 1 (+.f64 x 1/3))
(+.f64 x 1/3)
(*.f64 (+.f64 x 1/3) 1)
(+.f64 x 1/3)
(*.f64 (fma.f64 x x -1/9) (/.f64 1 (+.f64 x -1/3)))
(-.f64 (/.f64 x (/.f64 (+.f64 -1/3 x) x)) (/.f64 1/9 (+.f64 -1/3 x)))
(/.f64 (fma.f64 x x -1/9) (+.f64 -1/3 x))
(*.f64 (cbrt.f64 (+.f64 x 1/3)) (pow.f64 (cbrt.f64 (+.f64 x 1/3)) 2))
(+.f64 x 1/3)
(*.f64 (pow.f64 (cbrt.f64 (+.f64 x 1/3)) 2) (cbrt.f64 (+.f64 x 1/3)))
(+.f64 x 1/3)
(*.f64 (sqrt.f64 (+.f64 x 1/3)) (sqrt.f64 (+.f64 x 1/3)))
(+.f64 x 1/3)
(.f64 (+.f64 1/27 (pow.f64 x 3)) (/.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 x 1/3))))
(/.f64 (+.f64 (pow.f64 x 3) 1/27) (fma.f64 x (+.f64 -1/3 x) 1/9))
(/.f64 1 (/.f64 (-.f64 (fma.f64 x x 1/9) (*.f64 x 1/3)) (+.f64 1/27 (pow.f64 x 3))))
(.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) (fma.f64 x (+.f64 -1/3 x) 1/9))
(/.f64 1 (/.f64 (+.f64 x -1/3) (fma.f64 x x -1/9)))
(-.f64 (/.f64 x (/.f64 (+.f64 -1/3 x) x)) (/.f64 1/9 (+.f64 -1/3 x)))
(/.f64 (fma.f64 x x -1/9) (+.f64 -1/3 x))
(/.f64 (fma.f64 x x -1/9) (+.f64 x -1/3))
(-.f64 (/.f64 x (/.f64 (+.f64 -1/3 x) x)) (/.f64 1/9 (+.f64 -1/3 x)))
(/.f64 (fma.f64 x x -1/9) (+.f64 -1/3 x))
(/.f64 (neg.f64 (fma.f64 x x -1/9)) (neg.f64 (+.f64 x -1/3)))
(-.f64 (/.f64 x (/.f64 (+.f64 -1/3 x) x)) (/.f64 1/9 (+.f64 -1/3 x)))
(/.f64 (fma.f64 x x -1/9) (+.f64 -1/3 x))
(/.f64 (+.f64 1/27 (pow.f64 x 3)) (-.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 x 1/3))))
(/.f64 (+.f64 (pow.f64 x 3) 1/27) (fma.f64 x (+.f64 -1/3 x) 1/9))
(/.f64 (+.f64 1/27 (pow.f64 x 3)) (+.f64 1/9 (-.f64 (.f64 x x) (.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 (+.f64 (pow.f64 x 3) 1/27) (fma.f64 x (+.f64 -1/3 x) 1/9))
(/.f64 (+.f64 1/27 (pow.f64 x 3)) (fma.f64 x x (+.f64 1/9 (*.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 (+.f64 (pow.f64 x 3) 1/27) (fma.f64 x (+.f64 -1/3 x) 1/9))
(/.f64 (neg.f64 (+.f64 1/27 (pow.f64 x 3))) (neg.f64 (-.f64 (fma.f64 x x 1/9) (*.f64 x 1/3))))
(/.f64 (+.f64 -1/27 (neg.f64 (pow.f64 x 3))) (neg.f64 (-.f64 (fma.f64 x x 1/9) (*.f64 x 1/3))))
(/.f64 (-.f64 -1/27 (pow.f64 x 3)) (neg.f64 (fma.f64 x (+.f64 -1/3 x) 1/9)))
(/.f64 (-.f64 1/9 (*.f64 x x)) (-.f64 1/3 x))
(-.f64 (/.f64 x (/.f64 (+.f64 -1/3 x) x)) (/.f64 1/9 (+.f64 -1/3 x)))
(/.f64 (fma.f64 x x -1/9) (+.f64 -1/3 x))
(pow.f64 (+.f64 x 1/3) 1)
(+.f64 x 1/3)
(pow.f64 (cbrt.f64 (+.f64 x 1/3)) 3)
(+.f64 x 1/3)
(pow.f64 (pow.f64 (+.f64 x 1/3) 3) 1/3)
(+.f64 x 1/3)
(pow.f64 (sqrt.f64 (+.f64 x 1/3)) 2)
(+.f64 x 1/3)
(sqrt.f64 (pow.f64 (+.f64 x 1/3) 2))
(fabs.f64 (+.f64 x 1/3))
(log.f64 (exp.f64 (+.f64 x 1/3)))
(+.f64 x 1/3)
(log.f64 (+.f64 1 (expm1.f64 (+.f64 x 1/3))))
(+.f64 x 1/3)
(cbrt.f64 (pow.f64 (+.f64 x 1/3) 3))
(+.f64 x 1/3)
(expm1.f64 (log1p.f64 (+.f64 x 1/3)))
(+.f64 x 1/3)
(exp.f64 (log.f64 (+.f64 x 1/3)))
(+.f64 x 1/3)
(exp.f64 (*.f64 (log.f64 (+.f64 x 1/3)) 1))
(+.f64 x 1/3)
(log1p.f64 (expm1.f64 (+.f64 x 1/3)))
(+.f64 x 1/3)
(fma.f64 1 x 1/3)
(+.f64 x 1/3)
(fma.f64 x 1 1/3)
(+.f64 x 1/3)
(fma.f64 (cbrt.f64 x) (cbrt.f64 (*.f64 x x)) 1/3)
(fma.f64 (cbrt.f64 (*.f64 x x)) (cbrt.f64 x) 1/3)
(fma.f64 (cbrt.f64 x) (cbrt.f64 (*.f64 x x)) 1/3)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) 1/3)
(+.f64 x 1/3)
(+.f64 -1/9 (*.f64 x x))
(fma.f64 x x -1/9)
(+.f64 (*.f64 x x) -1/9)
(fma.f64 x x -1/9)
(+.f64 (.f64 (.f64 x x) 1) -1/9)
(fma.f64 x x -1/9)
(-.f64 (*.f64 x x) 1/9)
(fma.f64 x x -1/9)
(-.f64 (exp.f64 (log1p.f64 (fma.f64 x x -1/9))) 1)
(fma.f64 x x -1/9)
(*.f64 1 (fma.f64 x x -1/9))
(fma.f64 x x -1/9)
(*.f64 (fma.f64 x x -1/9) 1)
(fma.f64 x x -1/9)
(*.f64 (cbrt.f64 (fma.f64 x x -1/9)) (pow.f64 (cbrt.f64 (fma.f64 x x -1/9)) 2))
(fma.f64 x x -1/9)
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 x x -1/9)) 2) (cbrt.f64 (fma.f64 x x -1/9)))
(fma.f64 x x -1/9)
(*.f64 (sqrt.f64 (fma.f64 x x -1/9)) (sqrt.f64 (fma.f64 x x -1/9)))
(fma.f64 x x -1/9)
(/.f64 (+.f64 (pow.f64 (.f64 x x) 3) -1/729) (fma.f64 (.f64 x x) (.f64 x x) (-.f64 1/81 (.f64 (*.f64 x x) -1/9))))
(/.f64 (+.f64 (pow.f64 (.f64 x x) 3) -1/729) (+.f64 (pow.f64 x 4) (-.f64 1/81 (.f64 -1/9 (*.f64 x x)))))
(/.f64 (+.f64 (pow.f64 x 6) -1/729) (+.f64 (fma.f64 x (*.f64 x 1/9) 1/81) (pow.f64 x 4)))
(/.f64 (-.f64 (pow.f64 (.f64 x x) 3) 1/729) (fma.f64 (.f64 x x) (.f64 x x) (+.f64 1/81 (.f64 (*.f64 x x) 1/9))))
(/.f64 (+.f64 (pow.f64 (.f64 x x) 3) -1/729) (+.f64 (pow.f64 x 4) (-.f64 1/81 (.f64 -1/9 (*.f64 x x)))))
(/.f64 (+.f64 (pow.f64 x 6) -1/729) (+.f64 (fma.f64 x (*.f64 x 1/9) 1/81) (pow.f64 x 4)))
(/.f64 (fma.f64 (.f64 x x) (.f64 x x) -1/81) (fma.f64 x x 1/9))
(/.f64 (+.f64 (pow.f64 x 4) -1/81) (fma.f64 x x 1/9))
(/.f64 (+.f64 -1/81 (pow.f64 x 4)) (fma.f64 x x 1/9))
(pow.f64 (fma.f64 x x -1/9) 1)
(fma.f64 x x -1/9)
(pow.f64 (cbrt.f64 (fma.f64 x x -1/9)) 3)
(fma.f64 x x -1/9)
(pow.f64 (pow.f64 (fma.f64 x x -1/9) 3) 1/3)
(fma.f64 x x -1/9)
(pow.f64 (sqrt.f64 (fma.f64 x x -1/9)) 2)
(fma.f64 x x -1/9)
(sqrt.f64 (pow.f64 (fma.f64 x x -1/9) 2))
(fabs.f64 (fma.f64 x x -1/9))
(log.f64 (exp.f64 (fma.f64 x x -1/9)))
(fma.f64 x x -1/9)
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 x x -1/9))))
(fma.f64 x x -1/9)
(cbrt.f64 (pow.f64 (fma.f64 x x -1/9) 3))
(fma.f64 x x -1/9)
(expm1.f64 (log1p.f64 (fma.f64 x x -1/9)))
(fma.f64 x x -1/9)
(exp.f64 (log.f64 (fma.f64 x x -1/9)))
(fma.f64 x x -1/9)
(exp.f64 (*.f64 (log.f64 (fma.f64 x x -1/9)) 1))
(fma.f64 x x -1/9)
(log1p.f64 (expm1.f64 (fma.f64 x x -1/9)))
(fma.f64 x x -1/9)

eval246.0ms (6.4%)

Compiler: Compiled 6252 to 4905 computations (21.5% saved)

prune62.0ms (1.6%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	453	2	455
Fresh	0	2	2
Picked	2	0	2
Done	0	1	1
Total	455	5	460

Accuracy

100.0%

Counts

460 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	54.8%	(/.f64 1 (/.f64 (+.f64 x 1/3) -1/9))
▶	99.2%	(-.f64 (+.f64 x 2/3) 1)
✓	100.0%	(+.f64 x -1/3)
	46.7%	x
	55.4%	-1/3
▶	54.8%	(/.f64 1 (/.f64 (+.f64 x 1/3) -1/9))
▶	99.2%	(-.f64 (+.f64 x 2/3) 1)
✓	100.0%	(+.f64 x -1/3)
	46.7%	x
	55.4%	-1/3

Compiler

Compiled 44 to 36 computations (18.2% saved)

localize47.0ms (1.2%)

Localize:

Found 5 expressions with local error:

New	Accuracy	Program
	100.0%	(+.f64 x 1/3)
✓	99.8%	(/.f64 1 (/.f64 (+.f64 x 1/3) -1/9))
✓	99.7%	(/.f64 (+.f64 x 1/3) -1/9)
✓	100.0%	(+.f64 x 2/3)
✓	99.2%	(-.f64 (+.f64 x 2/3) 1)

Compiler

Compiled 32 to 25 computations (21.9% saved)

series2.0ms (0%)

Counts

4 → 48

Calls

12 calls:

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

rewrite94.0ms (2.5%)

Algorithm

1×	batch-egg-rewrite

Rules

1068×	`log-prod`
672×	`pow-prod-down`
554×	`fma-def`
528×	`pow-exp`
510×	`pow-prod-up`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	12	46
1	283	40
2	3688	40

Stop Event

1×	node limit

Counts

4 → 187

Calls

Call 1

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

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

simplify113.0ms (3%)

Algorithm

1×	egg-herbie

Rules

1570×	`times-frac`
1152×	`unswap-sqr`
514×	`log-prod`
508×	`cancel-sign-sub-inv`
382×	`sqr-pow`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	429	3637
1	958	3465
2	3097	3445

Stop Event

1×	node limit

Counts

235 → 259

Calls

Call 1

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

eval467.0ms (12.2%)

Compiler: Compiled 3373 to 2757 computations (18.3% saved)

prune108.0ms (2.8%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	305	0	305
Fresh	0	2	2
Picked	0	2	2
Done	0	1	1
Total	305	5	310

Accuracy

100.0%

Counts

310 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	54.8%	(/.f64 1 (/.f64 (+.f64 x 1/3) -1/9))
✓	99.2%	(-.f64 (+.f64 x 2/3) 1)
✓	100.0%	(+.f64 x -1/3)
	46.7%	x
	55.4%	-1/3
✓	54.8%	(/.f64 1 (/.f64 (+.f64 x 1/3) -1/9))
✓	99.2%	(-.f64 (+.f64 x 2/3) 1)
✓	100.0%	(+.f64 x -1/3)
	46.7%	x
	55.4%	-1/3

Compiler

Compiled 44 to 36 computations (18.2% saved)

localize0.0ms (0%)

eval0.0ms (0%)

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

prune3.0ms (0.1%)

Pruning

5 alts after pruning (2 fresh and 3 done)

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

Accuracy

100.0%

Counts

5 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	54.8%	(/.f64 1 (/.f64 (+.f64 x 1/3) -1/9))
✓	99.2%	(-.f64 (+.f64 x 2/3) 1)
✓	100.0%	(+.f64 x -1/3)
	46.7%	x
	55.4%	-1/3

Compiler

Compiled 62 to 49 computations (21% saved)

regimes10.0ms (0.3%)

Counts

8 → 1

Calls

Call 1

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

Outputs
(+.f64 x -1/3)

Calls

2 calls:

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

Results

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

Compiler

Compiled 48 to 37 computations (22.9% saved)

regimes13.0ms (0.3%)

Counts

2 → 3

Calls

Call 1

Inputs
-1/3
x

Outputs
x
-1/3
x

Calls

1 calls:

12.0ms

Results

Accuracy	Segments	Branch
98.6%	3	`x`

Compiler

Compiled 5 to 3 computations (40% saved)

regimes4.0ms (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:

4.0ms

Results

Accuracy	Segments	Branch
55.4%	1	`x`

Compiler

Compiled 4 to 3 computations (25% saved)

bsearch34.0ms (0.9%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
18.0ms	0.11029373597612754	1755211211559097600.0
15.0ms	-103.10156734493344	-0.034543868807445345

Results

28.0ms

288×

body

256

valid

Compiler

Compiled 118 to 98 computations (16.9% saved)

simplify8.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

2×	`+-commutative`
2×	`if-if-or-not`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	29
1	20	29

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

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

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

Compiler

Compiled 18 to 13 computations (27.8% saved)

soundness16.0ms (0.4%)

Rules

20×	`sub-neg`
12×	`fma-def`
10×	`+-commutative`
6×	`associate-+l-`
4×	`associate-+r+`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	11	25
1	20	23
2	30	21
3	41	21
4	49	21
5	60	21
6	74	21
7	78	21

Stop Event

1×

saturated

Compiler

Compiled 19 to 15 computations (21.1% saved)

end0.0ms (0%)

preprocess64.0ms (1.7%)

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

analyze0.0ms (0%)

sample1.3s (34.1%)

preprocess101.0ms (2.7%)

eval0.0ms (0%)

prune1.0ms (0%)

localize55.0ms (1.4%)

series1.0ms (0%)

rewrite145.0ms (3.8%)

simplify105.0ms (2.7%)

eval9.0ms (0.2%)

prune24.0ms (0.6%)

localize260.0ms (6.8%)

series9.0ms (0.2%)

rewrite190.0ms (5%)

simplify325.0ms (8.5%)

eval246.0ms (6.4%)

prune62.0ms (1.6%)

localize47.0ms (1.2%)

series2.0ms (0%)

rewrite94.0ms (2.5%)

simplify113.0ms (3%)

eval467.0ms (12.2%)

prune108.0ms (2.8%)

localize0.0ms (0%)

eval0.0ms (0%)

prune3.0ms (0.1%)

regimes10.0ms (0.3%)

regimes13.0ms (0.3%)

regimes4.0ms (0.1%)

bsearch34.0ms (0.9%)

simplify8.0ms (0.2%)

soundness16.0ms (0.4%)

end0.0ms (0%)

preprocess64.0ms (1.7%)

Profiling