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)

sample700.0ms (21.1%)

Results

690.0ms

8256×

body

256

valid

Bogosity

preprocess16.0ms (0.5%)

Algorithm

1×	egg-herbie

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	18
1	20	16
2	30	14
3	41	14
4	49	14
5	60	14
6	74	14
7	78	14

Stop Event

1×

saturated

Calls

Call 1

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

Outputs
(-.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 7 to 6 computations (14.3% saved)

simplify4.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

2×	`1-exp`
2×	`sub-neg`
2×	`+-commutative`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	7
1	14	7
2	15	7

Stop Event

1×

saturated

Counts

1 → 2

Calls

Call 1

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

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

eval0.0ms (0%)

Compiler: Compiled 9 to 7 computations (22.2% saved)

prune1.0ms (0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	1	1	2
Fresh	1	0	1
Picked	0	0	0
Done	0	0	0
Total	2	1	3

Accurracy

100.0%

Counts

3 → 1

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)

localize15.0ms (0.4%)

Local Accuracy

Found 1 expressions with local accuracy:

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

Compiler

Compiled 7 to 5 computations (28.6% saved)

series0.0ms (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)

rewrite64.0ms (1.9%)

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)

simplify46.0ms (1.4%)

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)

eval8.0ms (0.2%)

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

prune15.0ms (0.5%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	29	8	37
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	29	9	38

Accurracy

100.0%

Counts

38 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
	53.7%	(fma.f64 (sqrt.f64 x) (sqrt.f64 x) -1/3)
▶	76.0%	(/.f64 (fma.f64 x x -1/9) (+.f64 x 1/3))
▶	76.0%	(/.f64 (-.f64 1/9 (*.f64 x x)) (-.f64 -1/3 x))
▶	75.9%	(/.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)
▶	51.5%	(log1p.f64 (expm1.f64 (+.f64 x -1/3)))
	51.7%	x
	48.5%	-1/3
	53.7%	(fma.f64 (sqrt.f64 x) (sqrt.f64 x) -1/3)
▶	76.0%	(/.f64 (fma.f64 x x -1/9) (+.f64 x 1/3))
▶	76.0%	(/.f64 (-.f64 1/9 (*.f64 x x)) (-.f64 -1/3 x))
▶	75.9%	(/.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)
▶	51.5%	(log1p.f64 (expm1.f64 (+.f64 x -1/3)))
	51.7%	x
	48.5%	-1/3

Compiler

Compiled 220 to 160 computations (27.3% saved)

localize619.0ms (18.7%)

Local Accuracy

Found 16 expressions with local accuracy:

New	Accuracy	Program
✓	100.0%	(expm1.f64 (+.f64 x -1/3))
	100.0%	(+.f64 x -1/3)
✓	99.2%	(log1p.f64 (expm1.f64 (+.f64 x -1/3)))
✓	100.0%	(+.f64 x 1/3)
✓	100.0%	(fma.f64 x x -1/9)
✓	100.0%	(/.f64 (+.f64 x 1/3) (fma.f64 x x -1/9))
✓	100.0%	(/.f64 1 (/.f64 (+.f64 x 1/3) (fma.f64 x x -1/9)))
✓	100.0%	(+.f64 x 1/3)
✓	100.0%	(fma.f64 x x -1/9)
✓	100.0%	(/.f64 (fma.f64 x x -1/9) (+.f64 x 1/3))
✓	100.0%	(-.f64 -1/3 x)
✓	100.0%	(-.f64 1/9 (*.f64 x x))
✓	100.0%	(/.f64 (-.f64 1/9 (*.f64 x x)) (-.f64 -1/3 x))
	100.0%	(+.f64 x -1/3)
✓	99.3%	(+.f64 1 (+.f64 x -1/3))
✓	99.3%	(-.f64 (+.f64 1 (+.f64 x -1/3)) 1)

Compiler

Compiled 104 to 68 computations (34.6% saved)

series6.0ms (0.2%)

Counts

14 → 168

Calls

42 calls:

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

rewrite169.0ms (5.1%)

Algorithm

1×	batch-egg-rewrite

Rules

758×	`expm1-udef`
752×	`log1p-udef`
522×	`add-sqr-sqrt`
504×	`pow1`
502×	`*-un-lft-identity`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	24	192
1	537	118
2	7439	118

Stop Event

1×	node limit

Counts

14 → 810

Calls

Call 1

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

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

simplify189.0ms (5.7%)

Algorithm

1×	egg-herbie

Rules

1104×	`associate-l`
686×	`distribute-rgt-in`
676×	`distribute-lft-in`
610×	`fma-def`
504×	`associate-*r/`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	866	21184
1	2196	19676

Stop Event

1×	node limit

Counts

978 → 584

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)
-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)
1/9
(+.f64 1/9 (*.f64 -1 (pow.f64 x 2)))
(+.f64 1/9 (*.f64 -1 (pow.f64 x 2)))
(+.f64 1/9 (*.f64 -1 (pow.f64 x 2)))
(*.f64 -1 (pow.f64 x 2))
(+.f64 1/9 (*.f64 -1 (pow.f64 x 2)))
(+.f64 1/9 (*.f64 -1 (pow.f64 x 2)))
(+.f64 1/9 (*.f64 -1 (pow.f64 x 2)))
(*.f64 -1 (pow.f64 x 2))
(+.f64 1/9 (*.f64 -1 (pow.f64 x 2)))
(+.f64 1/9 (*.f64 -1 (pow.f64 x 2)))
(+.f64 1/9 (*.f64 -1 (pow.f64 x 2)))
-1/3
(-.f64 (*.f64 -1 x) 1/3)
(-.f64 (*.f64 -1 x) 1/3)
(-.f64 (*.f64 -1 x) 1/3)
(*.f64 -1 x)
(-.f64 (*.f64 -1 x) 1/3)
(-.f64 (*.f64 -1 x) 1/3)
(-.f64 (*.f64 -1 x) 1/3)
(*.f64 -1 x)
(-.f64 (*.f64 -1 x) 1/3)
(-.f64 (*.f64 -1 x) 1/3)
(-.f64 (*.f64 -1 x) 1/3)
-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)
-1/9
(-.f64 (pow.f64 x 2) 1/9)
(-.f64 (pow.f64 x 2) 1/9)
(-.f64 (pow.f64 x 2) 1/9)
(pow.f64 x 2)
(-.f64 (pow.f64 x 2) 1/9)
(-.f64 (pow.f64 x 2) 1/9)
(-.f64 (pow.f64 x 2) 1/9)
(pow.f64 x 2)
(-.f64 (pow.f64 x 2) 1/9)
(-.f64 (pow.f64 x 2) 1/9)
(-.f64 (pow.f64 x 2) 1/9)
1/3
(+.f64 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)
-3
(-.f64 (*.f64 -9 x) 3)
(-.f64 (+.f64 (.f64 -9 x) (.f64 -27 (pow.f64 x 2))) 3)
(-.f64 (+.f64 (.f64 -9 x) (+.f64 (.f64 -81 (pow.f64 x 3)) (*.f64 -27 (pow.f64 x 2)))) 3)
(/.f64 1 x)
(+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 x 2))) (/.f64 1 x))
(+.f64 (.f64 1/3 (/.f64 1 (pow.f64 x 2))) (+.f64 (.f64 1/9 (/.f64 1 (pow.f64 x 3))) (/.f64 1 x)))
(+.f64 (.f64 1/3 (/.f64 1 (pow.f64 x 2))) (+.f64 (.f64 1/27 (/.f64 1 (pow.f64 x 4))) (+.f64 (*.f64 1/9 (/.f64 1 (pow.f64 x 3))) (/.f64 1 x))))
(/.f64 1 x)
(+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 x 2))) (/.f64 1 x))
(+.f64 (.f64 1/3 (/.f64 1 (pow.f64 x 2))) (+.f64 (.f64 1/9 (/.f64 1 (pow.f64 x 3))) (/.f64 1 x)))
(+.f64 (.f64 1/3 (/.f64 1 (pow.f64 x 2))) (+.f64 (.f64 1/27 (/.f64 1 (pow.f64 x 4))) (+.f64 (*.f64 1/9 (/.f64 1 (pow.f64 x 3))) (/.f64 1 x))))
-1/9
(-.f64 (pow.f64 x 2) 1/9)
(-.f64 (pow.f64 x 2) 1/9)
(-.f64 (pow.f64 x 2) 1/9)
(pow.f64 x 2)
(-.f64 (pow.f64 x 2) 1/9)
(-.f64 (pow.f64 x 2) 1/9)
(-.f64 (pow.f64 x 2) 1/9)
(pow.f64 x 2)
(-.f64 (pow.f64 x 2) 1/9)
(-.f64 (pow.f64 x 2) 1/9)
(-.f64 (pow.f64 x 2) 1/9)
1/3
(+.f64 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 (exp.f64 -1/3) 1)
(-.f64 (+.f64 (exp.f64 -1/3) (*.f64 (exp.f64 -1/3) x)) 1)
(-.f64 (+.f64 (exp.f64 -1/3) (+.f64 (.f64 1/2 (.f64 (exp.f64 -1/3) (pow.f64 x 2))) (*.f64 (exp.f64 -1/3) x))) 1)
(-.f64 (+.f64 (exp.f64 -1/3) (+.f64 (.f64 1/2 (.f64 (exp.f64 -1/3) (pow.f64 x 2))) (+.f64 (.f64 (exp.f64 -1/3) x) (.f64 1/6 (*.f64 (exp.f64 -1/3) (pow.f64 x 3)))))) 1)
(-.f64 (exp.f64 (-.f64 x 1/3)) 1)
(-.f64 (exp.f64 (-.f64 x 1/3)) 1)
(-.f64 (exp.f64 (-.f64 x 1/3)) 1)
(-.f64 (exp.f64 (-.f64 x 1/3)) 1)
(-.f64 (exp.f64 (neg.f64 (+.f64 1/3 (*.f64 -1 x)))) 1)
(-.f64 (exp.f64 (neg.f64 (+.f64 1/3 (*.f64 -1 x)))) 1)
(-.f64 (exp.f64 (neg.f64 (+.f64 1/3 (*.f64 -1 x)))) 1)
(-.f64 (exp.f64 (neg.f64 (+.f64 1/3 (*.f64 -1 x)))) 1)
(+.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 1/9 (-.f64 -1/3 x)) (neg.f64 (/.f64 x (/.f64 (-.f64 -1/3 x) x))))
(+.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 (-.f64 1/9 (.f64 x x)) (/.f64 1 (-.f64 -1/3 x)))
(*.f64 (fma.f64 x x -1/9) (/.f64 1 (+.f64 x 1/3)))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 x -1/3)) 2) (cbrt.f64 (+.f64 x -1/3)))
(.f64 (cbrt.f64 (pow.f64 (-.f64 1/9 (.f64 x x)) 2)) (.f64 (cbrt.f64 (-.f64 1/9 (.f64 x x))) (/.f64 1 (-.f64 -1/3 x))))
(*.f64 (cbrt.f64 (+.f64 x -1/3)) (pow.f64 (cbrt.f64 (+.f64 x -1/3)) 2))
(.f64 (pow.f64 (cbrt.f64 (fma.f64 x x -1/9)) 2) (.f64 (cbrt.f64 (fma.f64 x x -1/9)) (/.f64 1 (+.f64 x 1/3))))
(.f64 (sqrt.f64 (-.f64 1/9 (.f64 x x))) (.f64 (sqrt.f64 (-.f64 1/9 (.f64 x x))) (/.f64 1 (-.f64 -1/3 x))))
(*.f64 (sqrt.f64 (+.f64 x -1/3)) (sqrt.f64 (+.f64 x -1/3)))
(.f64 (sqrt.f64 (fma.f64 x x -1/9)) (.f64 (sqrt.f64 (fma.f64 x x -1/9)) (/.f64 1 (+.f64 x 1/3))))
(*.f64 -1 (/.f64 1 (/.f64 -1 (+.f64 x -1/3))))
(.f64 (neg.f64 (-.f64 1/9 (.f64 x x))) (/.f64 1 (neg.f64 (-.f64 -1/3 x))))
(.f64 (+.f64 -1/27 (pow.f64 x 3)) (/.f64 1 (fma.f64 x x (-.f64 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 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 (/.f64 1 (-.f64 -1/3 x)) (-.f64 1/9 (.f64 x x)))
(*.f64 (+.f64 (pow.f64 (+.f64 x 2/3) 2) -1) (/.f64 1 (+.f64 (+.f64 x -1/3) 2)))
(*.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 (sqrt.f64 (/.f64 1 (+.f64 x -1/3))) -1) (pow.f64 (sqrt.f64 (/.f64 1 (+.f64 x -1/3))) -1))
(.f64 (/.f64 (cbrt.f64 (pow.f64 (-.f64 1/9 (.f64 x x)) 2)) 1) (/.f64 (cbrt.f64 (-.f64 1/9 (*.f64 x x))) (-.f64 -1/3 x)))
(.f64 (/.f64 (sqrt.f64 (-.f64 1/9 (.f64 x x))) 1) (/.f64 (sqrt.f64 (-.f64 1/9 (*.f64 x x))) (-.f64 -1/3 x)))
(.f64 (/.f64 1 (cbrt.f64 (pow.f64 (-.f64 -1/3 x) 2))) (/.f64 (-.f64 1/9 (.f64 x x)) (cbrt.f64 (-.f64 -1/3 x))))
(.f64 (/.f64 1 (sqrt.f64 (-.f64 -1/3 x))) (/.f64 (-.f64 1/9 (.f64 x x)) (sqrt.f64 (-.f64 -1/3 x))))
(*.f64 (/.f64 1 (cbrt.f64 (pow.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) (cbrt.f64 (pow.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)) (cbrt.f64 (pow.f64 (+.f64 x 1/3) 2))) (/.f64 (sqrt.f64 (fma.f64 x x -1/9)) (cbrt.f64 (+.f64 x 1/3))))
(.f64 (/.f64 (cbrt.f64 (pow.f64 (-.f64 1/9 (.f64 x x)) 2)) (cbrt.f64 (pow.f64 (-.f64 -1/3 x) 2))) (cbrt.f64 (+.f64 x -1/3)))
(.f64 (/.f64 (cbrt.f64 (pow.f64 (-.f64 1/9 (.f64 x x)) 2)) (sqrt.f64 (-.f64 -1/3 x))) (/.f64 (cbrt.f64 (-.f64 1/9 (*.f64 x x))) (sqrt.f64 (-.f64 -1/3 x))))
(.f64 (/.f64 (sqrt.f64 (-.f64 1/9 (.f64 x x))) (cbrt.f64 (pow.f64 (-.f64 -1/3 x) 2))) (/.f64 (sqrt.f64 (-.f64 1/9 (*.f64 x x))) (cbrt.f64 (-.f64 -1/3 x))))
(*.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 (fma.f64 x x -1/9) (+.f64 1/27 (pow.f64 x 3))) (fma.f64 x x (-.f64 1/9 (.f64 x 1/3))))
(*.f64 (/.f64 (fma.f64 x x -1/9) (fma.f64 x x -1/9)) (+.f64 x -1/3))
(.f64 (/.f64 (-.f64 1/9 (.f64 x x)) (-.f64 1/9 (*.f64 x x))) (+.f64 x -1/3))
(.f64 (/.f64 (-.f64 1/9 (.f64 x x)) (-.f64 -1/27 (pow.f64 x 3))) (+.f64 1/9 (*.f64 x (+.f64 x -1/3))))
(/.f64 1 (/.f64 1 (+.f64 x -1/3)))
(/.f64 1 (neg.f64 (/.f64 -1 (+.f64 x -1/3))))
(/.f64 1 (/.f64 (fma.f64 x x (-.f64 1/9 (*.f64 x -1/3))) (+.f64 -1/27 (pow.f64 x 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)))
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(*.f64 (+.f64 x 1/3) 1)
(*.f64 (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 (sqrt.f64 (+.f64 x 1/3)) (sqrt.f64 (+.f64 x 1/3)))
(.f64 (+.f64 1/27 (pow.f64 x 3)) (/.f64 1 (fma.f64 x x (-.f64 1/9 (.f64 x 1/3)))))
(/.f64 1 (/.f64 (fma.f64 x x (-.f64 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 (-.f64 1/9 (*.f64 x x)) (neg.f64 (+.f64 x -1/3)))
(/.f64 (-.f64 1/9 (*.f64 x x)) (-.f64 1/3 x))
(/.f64 (fma.f64 x x -1/9) (+.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 1/27 (pow.f64 x 3)) (+.f64 1/9 (-.f64 (.f64 x x) (.f64 x 1/3))))
(/.f64 (neg.f64 (+.f64 1/27 (pow.f64 x 3))) (neg.f64 (fma.f64 x x (-.f64 1/9 (*.f64 x 1/3)))))
(/.f64 (-.f64 (pow.f64 x 3) -1/27) (+.f64 (.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) 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 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 1/9 (-.f64 -1/3 x)) (neg.f64 (/.f64 x (/.f64 (-.f64 -1/3 x) x))))
(+.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 x 1/3)
(-.f64 (+.f64 x 2/3) 1)
(-.f64 (/.f64 1/9 (-.f64 -1/3 x)) (/.f64 x (/.f64 (-.f64 -1/3 x) x)))
(-.f64 (/.f64 (*.f64 x x) (+.f64 x 1/3)) (/.f64 1/9 (+.f64 x 1/3)))
(-.f64 (/.f64 (pow.f64 (+.f64 x 2/3) 3) (+.f64 (pow.f64 (+.f64 x 2/3) 2) (+.f64 (+.f64 x -1/3) 2))) (/.f64 1 (+.f64 (pow.f64 (+.f64 x 2/3) 2) (+.f64 (+.f64 x -1/3) 2))))
(-.f64 (/.f64 (pow.f64 (+.f64 x 2/3) 2) (+.f64 (+.f64 x -1/3) 2)) (/.f64 1 (+.f64 (+.f64 x -1/3) 2)))
(*.f64 1 (+.f64 x -1/3))
(*.f64 (+.f64 x -1/3) 1)
(.f64 (-.f64 1/9 (.f64 x x)) (/.f64 1 (-.f64 -1/3 x)))
(*.f64 (fma.f64 x x -1/9) (/.f64 1 (+.f64 x 1/3)))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 x -1/3)) 2) (cbrt.f64 (+.f64 x -1/3)))
(.f64 (cbrt.f64 (pow.f64 (-.f64 1/9 (.f64 x x)) 2)) (.f64 (cbrt.f64 (-.f64 1/9 (.f64 x x))) (/.f64 1 (-.f64 -1/3 x))))
(*.f64 (cbrt.f64 (+.f64 x -1/3)) (pow.f64 (cbrt.f64 (+.f64 x -1/3)) 2))
(.f64 (pow.f64 (cbrt.f64 (fma.f64 x x -1/9)) 2) (.f64 (cbrt.f64 (fma.f64 x x -1/9)) (/.f64 1 (+.f64 x 1/3))))
(.f64 (sqrt.f64 (-.f64 1/9 (.f64 x x))) (.f64 (sqrt.f64 (-.f64 1/9 (.f64 x x))) (/.f64 1 (-.f64 -1/3 x))))
(*.f64 (sqrt.f64 (+.f64 x -1/3)) (sqrt.f64 (+.f64 x -1/3)))
(.f64 (sqrt.f64 (fma.f64 x x -1/9)) (.f64 (sqrt.f64 (fma.f64 x x -1/9)) (/.f64 1 (+.f64 x 1/3))))
(*.f64 -1 (/.f64 1 (/.f64 -1 (+.f64 x -1/3))))
(.f64 (neg.f64 (-.f64 1/9 (.f64 x x))) (/.f64 1 (neg.f64 (-.f64 -1/3 x))))
(.f64 (+.f64 -1/27 (pow.f64 x 3)) (/.f64 1 (fma.f64 x x (-.f64 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 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 (/.f64 1 (-.f64 -1/3 x)) (-.f64 1/9 (.f64 x x)))
(*.f64 (+.f64 (pow.f64 (+.f64 x 2/3) 2) -1) (/.f64 1 (+.f64 (+.f64 x -1/3) 2)))
(*.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 (sqrt.f64 (/.f64 1 (+.f64 x -1/3))) -1) (pow.f64 (sqrt.f64 (/.f64 1 (+.f64 x -1/3))) -1))
(.f64 (/.f64 (cbrt.f64 (pow.f64 (-.f64 1/9 (.f64 x x)) 2)) 1) (/.f64 (cbrt.f64 (-.f64 1/9 (*.f64 x x))) (-.f64 -1/3 x)))
(.f64 (/.f64 (sqrt.f64 (-.f64 1/9 (.f64 x x))) 1) (/.f64 (sqrt.f64 (-.f64 1/9 (*.f64 x x))) (-.f64 -1/3 x)))
(.f64 (/.f64 1 (cbrt.f64 (pow.f64 (-.f64 -1/3 x) 2))) (/.f64 (-.f64 1/9 (.f64 x x)) (cbrt.f64 (-.f64 -1/3 x))))
(.f64 (/.f64 1 (sqrt.f64 (-.f64 -1/3 x))) (/.f64 (-.f64 1/9 (.f64 x x)) (sqrt.f64 (-.f64 -1/3 x))))
(*.f64 (/.f64 1 (cbrt.f64 (pow.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) (cbrt.f64 (pow.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)) (cbrt.f64 (pow.f64 (+.f64 x 1/3) 2))) (/.f64 (sqrt.f64 (fma.f64 x x -1/9)) (cbrt.f64 (+.f64 x 1/3))))
(.f64 (/.f64 (cbrt.f64 (pow.f64 (-.f64 1/9 (.f64 x x)) 2)) (cbrt.f64 (pow.f64 (-.f64 -1/3 x) 2))) (cbrt.f64 (+.f64 x -1/3)))
(.f64 (/.f64 (cbrt.f64 (pow.f64 (-.f64 1/9 (.f64 x x)) 2)) (sqrt.f64 (-.f64 -1/3 x))) (/.f64 (cbrt.f64 (-.f64 1/9 (*.f64 x x))) (sqrt.f64 (-.f64 -1/3 x))))
(.f64 (/.f64 (sqrt.f64 (-.f64 1/9 (.f64 x x))) (cbrt.f64 (pow.f64 (-.f64 -1/3 x) 2))) (/.f64 (sqrt.f64 (-.f64 1/9 (*.f64 x x))) (cbrt.f64 (-.f64 -1/3 x))))
(*.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 (fma.f64 x x -1/9) (+.f64 1/27 (pow.f64 x 3))) (fma.f64 x x (-.f64 1/9 (.f64 x 1/3))))
(*.f64 (/.f64 (fma.f64 x x -1/9) (fma.f64 x x -1/9)) (+.f64 x -1/3))
(.f64 (/.f64 (-.f64 1/9 (.f64 x x)) (-.f64 1/9 (*.f64 x x))) (+.f64 x -1/3))
(.f64 (/.f64 (-.f64 1/9 (.f64 x x)) (-.f64 -1/27 (pow.f64 x 3))) (+.f64 1/9 (*.f64 x (+.f64 x -1/3))))
(/.f64 1 (/.f64 1 (+.f64 x -1/3)))
(/.f64 1 (neg.f64 (/.f64 -1 (+.f64 x -1/3))))
(/.f64 1 (/.f64 (fma.f64 x x (-.f64 1/9 (*.f64 x -1/3))) (+.f64 -1/27 (pow.f64 x 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 (-.f64 1/9 (*.f64 x x)) (-.f64 -1/3 x))
(/.f64 (fma.f64 x x -1/9) (+.f64 x 1/3))
(/.f64 (cbrt.f64 (pow.f64 (-.f64 1/9 (.f64 x x)) 2)) (/.f64 (-.f64 -1/3 x) (cbrt.f64 (-.f64 1/9 (.f64 x x)))))
(/.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 1/9 (.f64 x x))) (/.f64 (-.f64 -1/3 x) (sqrt.f64 (-.f64 1/9 (.f64 x x)))))
(/.f64 (sqrt.f64 (+.f64 x -1/3)) (sqrt.f64 (/.f64 1 (+.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 (-.f64 1/9 (*.f64 x x))) (neg.f64 (-.f64 -1/3 x)))
(/.f64 (+.f64 -1/27 (pow.f64 x 3)) (fma.f64 x x (-.f64 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 (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 1/729 (pow.f64 x 6)) (.f64 (-.f64 -1/3 x) (+.f64 (+.f64 1/81 (pow.f64 x 4)) (.f64 1/9 (*.f64 x x)))))
(/.f64 (/.f64 1 (+.f64 x 1/3)) (/.f64 1 (fma.f64 x x -1/9)))
(/.f64 (+.f64 (pow.f64 (+.f64 x 2/3) 2) -1) (+.f64 (+.f64 x -1/3) 2))
(/.f64 (+.f64 (pow.f64 (+.f64 x 2/3) 2) -1) (-.f64 (+.f64 x 2/3) -1))
(/.f64 (-.f64 1/81 (pow.f64 x 4)) (.f64 (-.f64 -1/3 x) (+.f64 1/9 (.f64 x x))))
(/.f64 (-.f64 (.f64 1/9 (-.f64 -1/3 x)) (.f64 (-.f64 -1/3 x) (*.f64 x x))) (pow.f64 (-.f64 -1/3 x) 2))
(/.f64 (.f64 (-.f64 1/729 (pow.f64 x 6)) 1) (.f64 (+.f64 (+.f64 1/81 (pow.f64 x 4)) (.f64 1/9 (.f64 x x))) (-.f64 -1/3 x)))
(/.f64 (.f64 (-.f64 1/81 (pow.f64 x 4)) 1) (.f64 (+.f64 1/9 (*.f64 x x)) (-.f64 -1/3 x)))
(/.f64 (neg.f64 (+.f64 -1/27 (pow.f64 x 3))) (neg.f64 (fma.f64 x x (-.f64 1/9 (*.f64 x -1/3)))))
(/.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 (neg.f64 (-.f64 1/9 (*.f64 x x)))) (neg.f64 (neg.f64 (-.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 (-.f64 1/9 (*.f64 x x)) (sqrt.f64 (-.f64 -1/3 x))) (sqrt.f64 (-.f64 -1/3 x)))
(/.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 (pow.f64 (/.f64 1/9 (-.f64 -1/3 x)) 3) (pow.f64 (/.f64 x (/.f64 (-.f64 -1/3 x) x)) 3)) (+.f64 (.f64 (/.f64 1/9 (-.f64 -1/3 x)) (/.f64 1/9 (-.f64 -1/3 x))) (+.f64 (.f64 (/.f64 x (/.f64 (-.f64 -1/3 x) x)) (/.f64 x (/.f64 (-.f64 -1/3 x) x))) (*.f64 (/.f64 1/9 (-.f64 -1/3 x)) (/.f64 x (/.f64 (-.f64 -1/3 x) x))))))
(/.f64 (-.f64 (pow.f64 x 3) 1/27) (+.f64 (.f64 x x) (+.f64 1/9 (.f64 x 1/3))))
(/.f64 (/.f64 (fma.f64 x x -1/9) 1) (+.f64 x 1/3))
(/.f64 (-.f64 1 (*.f64 (+.f64 x -4/3) (+.f64 x -4/3))) (-.f64 1 (+.f64 x -4/3)))
(/.f64 (-.f64 (.f64 (/.f64 1/9 (-.f64 -1/3 x)) (/.f64 1/9 (-.f64 -1/3 x))) (.f64 (/.f64 x (/.f64 (-.f64 -1/3 x) x)) (/.f64 x (/.f64 (-.f64 -1/3 x) x)))) (+.f64 (/.f64 1/9 (-.f64 -1/3 x)) (/.f64 x (/.f64 (-.f64 -1/3 x) x))))
(/.f64 (.f64 (-.f64 1/729 (pow.f64 x 6)) (/.f64 1 (-.f64 -1/3 x))) (+.f64 (+.f64 1/81 (pow.f64 x 4)) (.f64 1/9 (*.f64 x x))))
(/.f64 (.f64 (-.f64 1/81 (pow.f64 x 4)) (/.f64 1 (-.f64 -1/3 x))) (+.f64 1/9 (.f64 x x)))
(/.f64 (/.f64 (-.f64 1/9 (*.f64 x x)) 1) (-.f64 -1/3 x))
(/.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) (cbrt.f64 (pow.f64 (+.f64 x 1/3) 2))) (cbrt.f64 (+.f64 x 1/3)))
(/.f64 (/.f64 (-.f64 1/9 (*.f64 x x)) (cbrt.f64 (pow.f64 (-.f64 -1/3 x) 2))) (cbrt.f64 (-.f64 -1/3 x)))
(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)
(neg.f64 (/.f64 (fma.f64 x x -1/9) (-.f64 -1/3 x)))
(neg.f64 (/.f64 (-.f64 1/9 (*.f64 x x)) (neg.f64 (-.f64 -1/3 x))))
(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))
(cbrt.f64 (/.f64 (pow.f64 (-.f64 1/9 (*.f64 x x)) 3) (pow.f64 (-.f64 -1/3 x) 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))
(exp.f64 (*.f64 (neg.f64 (log.f64 (+.f64 x -1/3))) -1))
(fma.f64 1 x -1/3)
(fma.f64 1 (+.f64 x 2/3) -1)
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) -1/3)
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 x 2/3)) 2) (cbrt.f64 (+.f64 x 2/3)) -1)
(fma.f64 (sqrt.f64 (+.f64 x 2/3)) (sqrt.f64 (+.f64 x 2/3)) -1)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) -1/3)
(+.f64 (exp.f64 (+.f64 x -1/3)) -1)
(-.f64 (exp.f64 (+.f64 x -1/3)) 1)
(*.f64 1 (expm1.f64 (+.f64 x -1/3)))
(*.f64 (expm1.f64 (+.f64 x -1/3)) 1)
(*.f64 (cbrt.f64 (expm1.f64 (+.f64 x -1/3))) (pow.f64 (cbrt.f64 (expm1.f64 (+.f64 x -1/3))) 2))
(*.f64 (pow.f64 (cbrt.f64 (expm1.f64 (+.f64 x -1/3))) 2) (cbrt.f64 (expm1.f64 (+.f64 x -1/3))))
(*.f64 (sqrt.f64 (expm1.f64 (+.f64 x -1/3))) (sqrt.f64 (expm1.f64 (+.f64 x -1/3))))
(/.f64 (-.f64 (pow.f64 (exp.f64 (+.f64 x -1/3)) 3) 1) (+.f64 (.f64 (exp.f64 (+.f64 x -1/3)) (exp.f64 (+.f64 x -1/3))) (+.f64 1 (.f64 (exp.f64 (+.f64 x -1/3)) 1))))
(/.f64 (-.f64 (*.f64 (exp.f64 (+.f64 x -1/3)) (exp.f64 (+.f64 x -1/3))) 1) (+.f64 (exp.f64 (+.f64 x -1/3)) 1))
(pow.f64 (expm1.f64 (+.f64 x -1/3)) 1)
(pow.f64 (cbrt.f64 (expm1.f64 (+.f64 x -1/3))) 3)
(pow.f64 (pow.f64 (expm1.f64 (+.f64 x -1/3)) 3) 1/3)
(pow.f64 (sqrt.f64 (expm1.f64 (+.f64 x -1/3))) 2)
(sqrt.f64 (pow.f64 (expm1.f64 (+.f64 x -1/3)) 2))
(log.f64 (exp.f64 (expm1.f64 (+.f64 x -1/3))))
(log.f64 (+.f64 1 (expm1.f64 (expm1.f64 (+.f64 x -1/3)))))
(cbrt.f64 (pow.f64 (expm1.f64 (+.f64 x -1/3)) 3))
(exp.f64 (log.f64 (expm1.f64 (+.f64 x -1/3))))
(exp.f64 (*.f64 (log.f64 (expm1.f64 (+.f64 x -1/3))) 1))
(log1p.f64 (expm1.f64 (expm1.f64 (+.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)
-1/3
(-.f64 x 1/3)
(+.f64 -1/3 x)
(-.f64 x 1/3)
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(-.f64 x 1/3)
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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)
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(-.f64 x 1/3)
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(-.f64 x 1/3)
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1/9
(+.f64 1/9 (*.f64 -1 (pow.f64 x 2)))
(-.f64 1/9 (*.f64 x x))
(neg.f64 (fma.f64 x x -1/9))
(+.f64 1/9 (*.f64 -1 (pow.f64 x 2)))
(-.f64 1/9 (*.f64 x x))
(neg.f64 (fma.f64 x x -1/9))
(+.f64 1/9 (*.f64 -1 (pow.f64 x 2)))
(-.f64 1/9 (*.f64 x x))
(neg.f64 (fma.f64 x x -1/9))
(*.f64 -1 (pow.f64 x 2))
(*.f64 x (neg.f64 x))
(+.f64 1/9 (*.f64 -1 (pow.f64 x 2)))
(-.f64 1/9 (*.f64 x x))
(neg.f64 (fma.f64 x x -1/9))
(+.f64 1/9 (*.f64 -1 (pow.f64 x 2)))
(-.f64 1/9 (*.f64 x x))
(neg.f64 (fma.f64 x x -1/9))
(+.f64 1/9 (*.f64 -1 (pow.f64 x 2)))
(-.f64 1/9 (*.f64 x x))
(neg.f64 (fma.f64 x x -1/9))
(*.f64 -1 (pow.f64 x 2))
(*.f64 x (neg.f64 x))
(+.f64 1/9 (*.f64 -1 (pow.f64 x 2)))
(-.f64 1/9 (*.f64 x x))
(neg.f64 (fma.f64 x x -1/9))
(+.f64 1/9 (*.f64 -1 (pow.f64 x 2)))
(-.f64 1/9 (*.f64 x x))
(neg.f64 (fma.f64 x x -1/9))
(+.f64 1/9 (*.f64 -1 (pow.f64 x 2)))
(-.f64 1/9 (*.f64 x x))
(neg.f64 (fma.f64 x x -1/9))
-1/3
(-.f64 (*.f64 -1 x) 1/3)
(-.f64 -1/3 x)
(-.f64 (*.f64 -1 x) 1/3)
(-.f64 -1/3 x)
(-.f64 (*.f64 -1 x) 1/3)
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(-.f64 -1/3 x)
(-.f64 (*.f64 -1 x) 1/3)
(-.f64 -1/3 x)
(*.f64 -1 x)
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(-.f64 (*.f64 -1 x) 1/3)
(-.f64 -1/3 x)
(-.f64 (*.f64 -1 x) 1/3)
(-.f64 -1/3 x)
-1/3
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(-.f64 x 1/3)
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(-.f64 x 1/3)
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x
(-.f64 x 1/3)
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(-.f64 x 1/3)
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(-.f64 x 1/3)
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x
(-.f64 x 1/3)
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(-.f64 x 1/3)
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(-.f64 x 1/3)
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-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)
1/3
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x
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x
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(+.f64 x 1/3)
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(+.f64 x 1/3)
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-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)
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(-.f64 x 1/3)
(+.f64 -1/3 x)
(-.f64 x 1/3)
(+.f64 -1/3 x)
-3
(-.f64 (*.f64 -9 x) 3)
(fma.f64 -9 x -3)
(fma.f64 x -9 -3)
(-.f64 (+.f64 (.f64 -9 x) (.f64 -27 (pow.f64 x 2))) 3)
(+.f64 (fma.f64 -9 x (.f64 -27 (.f64 x x))) -3)
(fma.f64 x -9 (fma.f64 -27 (*.f64 x x) -3))
(-.f64 (+.f64 (.f64 -9 x) (+.f64 (.f64 -81 (pow.f64 x 3)) (*.f64 -27 (pow.f64 x 2)))) 3)
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(/.f64 1 x)
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(-.f64 (pow.f64 x 2) 1/9)
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(-.f64 (pow.f64 x 2) 1/9)
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(pow.f64 x 2)
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(-.f64 (pow.f64 x 2) 1/9)
(fma.f64 x x -1/9)
(-.f64 (pow.f64 x 2) 1/9)
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(-.f64 (pow.f64 x 2) 1/9)
(fma.f64 x x -1/9)
(pow.f64 x 2)
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(-.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)
1/3
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(+.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 (exp.f64 -1/3) 1)
(expm1.f64 -1/3)
(-.f64 (+.f64 (exp.f64 -1/3) (*.f64 (exp.f64 -1/3) x)) 1)
(+.f64 (+.f64 (exp.f64 -1/3) (*.f64 x (exp.f64 -1/3))) -1)
(+.f64 (*.f64 x (exp.f64 -1/3)) (expm1.f64 -1/3))
(-.f64 (+.f64 (exp.f64 -1/3) (+.f64 (.f64 1/2 (.f64 (exp.f64 -1/3) (pow.f64 x 2))) (*.f64 (exp.f64 -1/3) x))) 1)
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(-.f64 (+.f64 (exp.f64 -1/3) (+.f64 (.f64 1/2 (.f64 (exp.f64 -1/3) (pow.f64 x 2))) (+.f64 (.f64 (exp.f64 -1/3) x) (.f64 1/6 (*.f64 (exp.f64 -1/3) (pow.f64 x 3)))))) 1)
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(-.f64 (exp.f64 (-.f64 x 1/3)) 1)
(expm1.f64 (+.f64 -1/3 x))
(-.f64 (exp.f64 (-.f64 x 1/3)) 1)
(expm1.f64 (+.f64 -1/3 x))
(-.f64 (exp.f64 (-.f64 x 1/3)) 1)
(expm1.f64 (+.f64 -1/3 x))
(-.f64 (exp.f64 (-.f64 x 1/3)) 1)
(expm1.f64 (+.f64 -1/3 x))
(-.f64 (exp.f64 (neg.f64 (+.f64 1/3 (*.f64 -1 x)))) 1)
(expm1.f64 (+.f64 -1/3 x))
(-.f64 (exp.f64 (neg.f64 (+.f64 1/3 (*.f64 -1 x)))) 1)
(expm1.f64 (+.f64 -1/3 x))
(-.f64 (exp.f64 (neg.f64 (+.f64 1/3 (*.f64 -1 x)))) 1)
(expm1.f64 (+.f64 -1/3 x))
(-.f64 (exp.f64 (neg.f64 (+.f64 1/3 (*.f64 -1 x)))) 1)
(expm1.f64 (+.f64 -1/3 x))
(+.f64 1 (+.f64 x -4/3))
(+.f64 -1/3 x)
(+.f64 1 (*.f64 (+.f64 x -4/3) 1))
(+.f64 -1/3 x)
(+.f64 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)
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(-.f64 (/.f64 1/9 (-.f64 -1/3 x)) (*.f64 (/.f64 x (-.f64 -1/3 x)) 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 (-.f64 1/9 (.f64 x x)) (/.f64 1 (-.f64 -1/3 x)))
(/.f64 (-.f64 1/9 (*.f64 x x)) (-.f64 -1/3 x))
(neg.f64 (/.f64 (fma.f64 x x -1/9) (-.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 (pow.f64 (cbrt.f64 (+.f64 x -1/3)) 2) (cbrt.f64 (+.f64 x -1/3)))
(+.f64 -1/3 x)
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(.f64 (cbrt.f64 (pow.f64 (-.f64 1/9 (.f64 x x)) 2)) (.f64 (/.f64 1 (-.f64 -1/3 x)) (cbrt.f64 (-.f64 1/9 (.f64 x x)))))
(*.f64 (cbrt.f64 (pow.f64 (fma.f64 x x -1/9) 2)) (/.f64 (cbrt.f64 (neg.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 -1/3 x)
(.f64 (pow.f64 (cbrt.f64 (fma.f64 x x -1/9)) 2) (.f64 (cbrt.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 (sqrt.f64 (-.f64 1/9 (.f64 x x))) (.f64 (sqrt.f64 (-.f64 1/9 (.f64 x x))) (/.f64 1 (-.f64 -1/3 x))))
(/.f64 (-.f64 1/9 (*.f64 x x)) (-.f64 -1/3 x))
(neg.f64 (/.f64 (fma.f64 x x -1/9) (-.f64 -1/3 x)))
(*.f64 (sqrt.f64 (+.f64 x -1/3)) (sqrt.f64 (+.f64 x -1/3)))
(+.f64 -1/3 x)
(.f64 (sqrt.f64 (fma.f64 x x -1/9)) (.f64 (sqrt.f64 (fma.f64 x x -1/9)) (/.f64 1 (+.f64 x 1/3))))
(/.f64 (fma.f64 x x -1/9) (+.f64 x 1/3))
(*.f64 -1 (/.f64 1 (/.f64 -1 (+.f64 x -1/3))))
(+.f64 -1/3 x)
(.f64 (neg.f64 (-.f64 1/9 (.f64 x x))) (/.f64 1 (neg.f64 (-.f64 -1/3 x))))
(/.f64 (fma.f64 x x -1/9) (+.f64 x 1/3))
(.f64 (+.f64 -1/27 (pow.f64 x 3)) (/.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))
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(*.f64 (/.f64 1 (+.f64 x 1/3)) (fma.f64 x x -1/9))
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(.f64 (/.f64 1 (-.f64 -1/3 x)) (-.f64 1/9 (.f64 x x)))
(/.f64 (-.f64 1/9 (*.f64 x x)) (-.f64 -1/3 x))
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(/.f64 (-.f64 1 (pow.f64 (+.f64 x 2/3) 2)) (+.f64 (neg.f64 x) -5/3))
(/.f64 (neg.f64 (neg.f64 (-.f64 1/9 (*.f64 x x)))) (neg.f64 (neg.f64 (-.f64 -1/3 x))))
(/.f64 (-.f64 1/9 (*.f64 x x)) (-.f64 -1/3 x))
(neg.f64 (/.f64 (fma.f64 x x -1/9) (-.f64 -1/3 x)))
(/.f64 (/.f64 (fma.f64 x x -1/9) (sqrt.f64 (+.f64 x 1/3))) (sqrt.f64 (+.f64 x 1/3)))
(/.f64 (fma.f64 x x -1/9) (+.f64 x 1/3))
(/.f64 (/.f64 (-.f64 1/9 (*.f64 x x)) (sqrt.f64 (-.f64 -1/3 x))) (sqrt.f64 (-.f64 -1/3 x)))
(/.f64 (-.f64 1/9 (*.f64 x x)) (-.f64 -1/3 x))
(neg.f64 (/.f64 (fma.f64 x x -1/9) (-.f64 -1/3 x)))
(/.f64 (+.f64 1 (pow.f64 (+.f64 x -4/3) 3)) (+.f64 1 (-.f64 (*.f64 (+.f64 x -4/3) (+.f64 x -4/3)) (+.f64 x -4/3))))
(/.f64 (+.f64 1 (pow.f64 (+.f64 x -4/3) 3)) (-.f64 (fma.f64 (+.f64 x -4/3) (+.f64 x -4/3) (neg.f64 x)) -7/3))
(/.f64 (-.f64 (pow.f64 (/.f64 1/9 (-.f64 -1/3 x)) 3) (pow.f64 (/.f64 x (/.f64 (-.f64 -1/3 x) x)) 3)) (+.f64 (.f64 (/.f64 1/9 (-.f64 -1/3 x)) (/.f64 1/9 (-.f64 -1/3 x))) (+.f64 (.f64 (/.f64 x (/.f64 (-.f64 -1/3 x) x)) (/.f64 x (/.f64 (-.f64 -1/3 x) x))) (*.f64 (/.f64 1/9 (-.f64 -1/3 x)) (/.f64 x (/.f64 (-.f64 -1/3 x) x))))))
(/.f64 (-.f64 (/.f64 1/729 (pow.f64 (-.f64 -1/3 x) 3)) (pow.f64 (.f64 (/.f64 x (-.f64 -1/3 x)) x) 3)) (fma.f64 (/.f64 1/9 (-.f64 -1/3 x)) (/.f64 1/9 (-.f64 -1/3 x)) (.f64 (.f64 (/.f64 x (-.f64 -1/3 x)) x) (+.f64 (/.f64 1/9 (-.f64 -1/3 x)) (.f64 (/.f64 x (-.f64 -1/3 x)) x)))))
(/.f64 (-.f64 (/.f64 1/729 (pow.f64 (-.f64 -1/3 x) 3)) (pow.f64 (.f64 (/.f64 x (-.f64 -1/3 x)) x) 3)) (fma.f64 (.f64 (/.f64 x (-.f64 -1/3 x)) x) (fma.f64 (/.f64 x (-.f64 -1/3 x)) x (/.f64 1/9 (-.f64 -1/3 x))) (/.f64 (/.f64 1/81 (-.f64 -1/3 x)) (-.f64 -1/3 x))))
(/.f64 (-.f64 (pow.f64 x 3) 1/27) (+.f64 (.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 (fma.f64 x x -1/9) 1) (+.f64 x 1/3))
(/.f64 (fma.f64 x x -1/9) (+.f64 x 1/3))
(/.f64 (-.f64 1 (*.f64 (+.f64 x -4/3) (+.f64 x -4/3))) (-.f64 1 (+.f64 x -4/3)))
(/.f64 (+.f64 1 (*.f64 (+.f64 x -4/3) (-.f64 4/3 x))) (-.f64 7/3 x))
(/.f64 (-.f64 (.f64 (/.f64 1/9 (-.f64 -1/3 x)) (/.f64 1/9 (-.f64 -1/3 x))) (.f64 (/.f64 x (/.f64 (-.f64 -1/3 x) x)) (/.f64 x (/.f64 (-.f64 -1/3 x) x)))) (+.f64 (/.f64 1/9 (-.f64 -1/3 x)) (/.f64 x (/.f64 (-.f64 -1/3 x) x))))
(/.f64 (-.f64 (.f64 (/.f64 1/9 (-.f64 -1/3 x)) (/.f64 1/9 (-.f64 -1/3 x))) (.f64 (.f64 (/.f64 x (-.f64 -1/3 x)) x) (.f64 (/.f64 x (-.f64 -1/3 x)) x))) (+.f64 (/.f64 1/9 (-.f64 -1/3 x)) (*.f64 (/.f64 x (-.f64 -1/3 x)) x)))
(/.f64 (-.f64 (/.f64 (/.f64 1/81 (-.f64 -1/3 x)) (-.f64 -1/3 x)) (.f64 (.f64 (/.f64 x (-.f64 -1/3 x)) x) (*.f64 (/.f64 x (-.f64 -1/3 x)) x))) (fma.f64 (/.f64 x (-.f64 -1/3 x)) x (/.f64 1/9 (-.f64 -1/3 x))))
(/.f64 (.f64 (-.f64 1/729 (pow.f64 x 6)) (/.f64 1 (-.f64 -1/3 x))) (+.f64 (+.f64 1/81 (pow.f64 x 4)) (.f64 1/9 (*.f64 x x))))
(/.f64 (-.f64 1/729 (pow.f64 x 6)) (.f64 (-.f64 -1/3 x) (+.f64 (pow.f64 x 4) (+.f64 1/81 (.f64 1/9 (*.f64 x x))))))
(/.f64 (-.f64 1/729 (pow.f64 x 6)) (.f64 (-.f64 -1/3 x) (fma.f64 1/9 (.f64 x x) (+.f64 (pow.f64 x 4) 1/81))))
(/.f64 (.f64 (-.f64 1/81 (pow.f64 x 4)) (/.f64 1 (-.f64 -1/3 x))) (+.f64 1/9 (.f64 x x)))
(/.f64 (-.f64 1/81 (pow.f64 x 4)) (*.f64 (-.f64 -1/3 x) (fma.f64 x x 1/9)))
(/.f64 (/.f64 (-.f64 1/9 (*.f64 x x)) 1) (-.f64 -1/3 x))
(/.f64 (-.f64 1/9 (*.f64 x x)) (-.f64 -1/3 x))
(neg.f64 (/.f64 (fma.f64 x x -1/9) (-.f64 -1/3 x)))
(/.f64 (/.f64 1 (pow.f64 (/.f64 1 (cbrt.f64 (+.f64 x -1/3))) 2)) (/.f64 1 (cbrt.f64 (+.f64 x -1/3))))
(+.f64 -1/3 x)
(/.f64 (/.f64 (fma.f64 x x -1/9) (cbrt.f64 (pow.f64 (+.f64 x 1/3) 2))) (cbrt.f64 (+.f64 x 1/3)))
(/.f64 (fma.f64 x x -1/9) (*.f64 (cbrt.f64 (pow.f64 (+.f64 x 1/3) 2)) (cbrt.f64 (+.f64 x 1/3))))
(/.f64 (fma.f64 x x -1/9) (*.f64 (cbrt.f64 (pow.f64 (-.f64 -1/3 x) 2)) (cbrt.f64 (+.f64 x 1/3))))
(/.f64 (/.f64 (-.f64 1/9 (*.f64 x x)) (cbrt.f64 (pow.f64 (-.f64 -1/3 x) 2))) (cbrt.f64 (-.f64 -1/3 x)))
(/.f64 (-.f64 1/9 (.f64 x x)) (.f64 (cbrt.f64 (pow.f64 (-.f64 -1/3 x) 2)) (cbrt.f64 (-.f64 -1/3 x))))
(/.f64 (neg.f64 (fma.f64 x x -1/9)) (*.f64 (cbrt.f64 (-.f64 -1/3 x)) (cbrt.f64 (pow.f64 (-.f64 -1/3 x) 2))))
(pow.f64 (+.f64 x -1/3) 1)
(+.f64 -1/3 x)
(pow.f64 (/.f64 1 (+.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)
(neg.f64 (/.f64 (fma.f64 x x -1/9) (-.f64 -1/3 x)))
(/.f64 (-.f64 1/9 (*.f64 x x)) (-.f64 -1/3 x))
(neg.f64 (/.f64 (-.f64 1/9 (*.f64 x x)) (neg.f64 (-.f64 -1/3 x))))
(/.f64 (fma.f64 x x -1/9) (+.f64 x 1/3))
(sqrt.f64 (pow.f64 (+.f64 x -1/3) 2))
(sqrt.f64 (pow.f64 (+.f64 -1/3 x) 2))
(fabs.f64 (+.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)
(cbrt.f64 (/.f64 (pow.f64 (-.f64 1/9 (*.f64 x x)) 3) (pow.f64 (-.f64 -1/3 x) 3)))
(cbrt.f64 (/.f64 (pow.f64 (neg.f64 (fma.f64 x x -1/9)) 3) (pow.f64 (-.f64 -1/3 x) 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)
(exp.f64 (*.f64 (neg.f64 (log.f64 (+.f64 x -1/3))) -1))
(+.f64 -1/3 x)
(fma.f64 1 x -1/3)
(+.f64 -1/3 x)
(fma.f64 1 (+.f64 x 2/3) -1)
(+.f64 -1/3 x)
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) -1/3)
(+.f64 -1/3 x)
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 x 2/3)) 2) (cbrt.f64 (+.f64 x 2/3)) -1)
(+.f64 -1/3 x)
(fma.f64 (sqrt.f64 (+.f64 x 2/3)) (sqrt.f64 (+.f64 x 2/3)) -1)
(+.f64 -1/3 x)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) -1/3)
(+.f64 -1/3 x)
(+.f64 (exp.f64 (+.f64 x -1/3)) -1)
(expm1.f64 (+.f64 -1/3 x))
(-.f64 (exp.f64 (+.f64 x -1/3)) 1)
(expm1.f64 (+.f64 -1/3 x))
(*.f64 1 (expm1.f64 (+.f64 x -1/3)))
(expm1.f64 (+.f64 -1/3 x))
(*.f64 (expm1.f64 (+.f64 x -1/3)) 1)
(expm1.f64 (+.f64 -1/3 x))
(*.f64 (cbrt.f64 (expm1.f64 (+.f64 x -1/3))) (pow.f64 (cbrt.f64 (expm1.f64 (+.f64 x -1/3))) 2))
(expm1.f64 (+.f64 -1/3 x))
(*.f64 (pow.f64 (cbrt.f64 (expm1.f64 (+.f64 x -1/3))) 2) (cbrt.f64 (expm1.f64 (+.f64 x -1/3))))
(expm1.f64 (+.f64 -1/3 x))
(*.f64 (sqrt.f64 (expm1.f64 (+.f64 x -1/3))) (sqrt.f64 (expm1.f64 (+.f64 x -1/3))))
(expm1.f64 (+.f64 -1/3 x))
(/.f64 (-.f64 (pow.f64 (exp.f64 (+.f64 x -1/3)) 3) 1) (+.f64 (.f64 (exp.f64 (+.f64 x -1/3)) (exp.f64 (+.f64 x -1/3))) (+.f64 1 (.f64 (exp.f64 (+.f64 x -1/3)) 1))))
(/.f64 (+.f64 (pow.f64 (exp.f64 (+.f64 -1/3 x)) 3) -1) (fma.f64 (exp.f64 (+.f64 -1/3 x)) (exp.f64 (+.f64 -1/3 x)) (+.f64 1 (exp.f64 (+.f64 -1/3 x)))))
(/.f64 (+.f64 (pow.f64 (exp.f64 (+.f64 -1/3 x)) 3) -1) (+.f64 1 (+.f64 (exp.f64 (+.f64 -1/3 x)) (exp.f64 (*.f64 2 (+.f64 -1/3 x))))))
(/.f64 (-.f64 (*.f64 (exp.f64 (+.f64 x -1/3)) (exp.f64 (+.f64 x -1/3))) 1) (+.f64 (exp.f64 (+.f64 x -1/3)) 1))
(/.f64 (fma.f64 (exp.f64 (+.f64 -1/3 x)) (exp.f64 (+.f64 -1/3 x)) -1) (+.f64 1 (exp.f64 (+.f64 -1/3 x))))
(/.f64 (expm1.f64 (*.f64 2 (+.f64 -1/3 x))) (+.f64 1 (exp.f64 (+.f64 -1/3 x))))
(pow.f64 (expm1.f64 (+.f64 x -1/3)) 1)
(expm1.f64 (+.f64 -1/3 x))
(pow.f64 (cbrt.f64 (expm1.f64 (+.f64 x -1/3))) 3)
(expm1.f64 (+.f64 -1/3 x))
(pow.f64 (pow.f64 (expm1.f64 (+.f64 x -1/3)) 3) 1/3)
(expm1.f64 (+.f64 -1/3 x))
(pow.f64 (sqrt.f64 (expm1.f64 (+.f64 x -1/3))) 2)
(expm1.f64 (+.f64 -1/3 x))
(sqrt.f64 (pow.f64 (expm1.f64 (+.f64 x -1/3)) 2))
(sqrt.f64 (pow.f64 (expm1.f64 (+.f64 -1/3 x)) 2))
(fabs.f64 (expm1.f64 (+.f64 -1/3 x)))
(log.f64 (exp.f64 (expm1.f64 (+.f64 x -1/3))))
(expm1.f64 (+.f64 -1/3 x))
(log.f64 (+.f64 1 (expm1.f64 (expm1.f64 (+.f64 x -1/3)))))
(expm1.f64 (+.f64 -1/3 x))
(cbrt.f64 (pow.f64 (expm1.f64 (+.f64 x -1/3)) 3))
(expm1.f64 (+.f64 -1/3 x))
(exp.f64 (log.f64 (expm1.f64 (+.f64 x -1/3))))
(expm1.f64 (+.f64 -1/3 x))
(exp.f64 (*.f64 (log.f64 (expm1.f64 (+.f64 x -1/3))) 1))
(expm1.f64 (+.f64 -1/3 x))
(log1p.f64 (expm1.f64 (expm1.f64 (+.f64 x -1/3))))
(expm1.f64 (+.f64 -1/3 x))

eval268.0ms (8.1%)

Compiler: Compiled 11675 to 8667 computations (25.8% saved)

prune155.0ms (4.7%)

Pruning

9 alts after pruning (7 fresh and 2 done)

	Pruned	Kept	Total
New	805	5	810
Fresh	1	2	3
Picked	4	1	5
Done	0	1	1
Total	810	9	819

Accurracy

100.0%

Counts

819 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	61.8%	(/.f64 (/.f64 (-.f64 1/81 (.f64 (.f64 x (neg.f64 x)) (.f64 x (neg.f64 x)))) (-.f64 1/9 (.f64 x (neg.f64 x)))) (-.f64 -1/3 x))
✓	76.0%	(/.f64 (-.f64 1/9 (*.f64 x x)) (-.f64 -1/3 x))
▶	75.9%	(/.f64 1 (/.f64 (+.f64 x 1/3) (-.f64 (*.f64 x x) 1/9)))
▶	48.6%	(/.f64 1 (/.f64 (+.f64 x 1/3) -1/9))
▶	75.8%	(/.f64 1 (*.f64 (/.f64 1 (fma.f64 x x -1/9)) (+.f64 x 1/3)))
▶	99.3%	(-.f64 (+.f64 x 2/3) 1)
✓	100.0%	(+.f64 x -1/3)
	51.7%	x
	48.5%	-1/3
▶	61.8%	(/.f64 (/.f64 (-.f64 1/81 (.f64 (.f64 x (neg.f64 x)) (.f64 x (neg.f64 x)))) (-.f64 1/9 (.f64 x (neg.f64 x)))) (-.f64 -1/3 x))
✓	76.0%	(/.f64 (-.f64 1/9 (*.f64 x x)) (-.f64 -1/3 x))
▶	75.9%	(/.f64 1 (/.f64 (+.f64 x 1/3) (-.f64 (*.f64 x x) 1/9)))
▶	48.6%	(/.f64 1 (/.f64 (+.f64 x 1/3) -1/9))
▶	75.8%	(/.f64 1 (*.f64 (/.f64 1 (fma.f64 x x -1/9)) (+.f64 x 1/3)))
▶	99.3%	(-.f64 (+.f64 x 2/3) 1)
✓	100.0%	(+.f64 x -1/3)
	51.7%	x
	48.5%	-1/3

Compiler

Compiled 284 to 198 computations (30.3% saved)

localize171.0ms (5.2%)

Local Accuracy

Found 17 expressions with local accuracy:

New	Accuracy	Program
	100.0%	(fma.f64 x x -1/9)
✓	99.8%	(/.f64 1 (*.f64 (/.f64 1 (fma.f64 x x -1/9)) (+.f64 x 1/3)))
✓	99.6%	(/.f64 1 (fma.f64 x x -1/9))
✓	76.3%	(*.f64 (/.f64 1 (fma.f64 x x -1/9)) (+.f64 x 1/3))
✓	100.0%	(-.f64 1/9 (*.f64 x (neg.f64 x)))
✓	99.8%	(.f64 (.f64 x (neg.f64 x)) (*.f64 x (neg.f64 x)))
✓	76.0%	(/.f64 (/.f64 (-.f64 1/81 (.f64 (.f64 x (neg.f64 x)) (.f64 x (neg.f64 x)))) (-.f64 1/9 (.f64 x (neg.f64 x)))) (-.f64 -1/3 x))
✓	62.0%	(/.f64 (-.f64 1/81 (.f64 (.f64 x (neg.f64 x)) (.f64 x (neg.f64 x)))) (-.f64 1/9 (.f64 x (neg.f64 x))))
	100.0%	(+.f64 x 1/3)
✓	100.0%	(-.f64 (*.f64 x x) 1/9)
✓	99.8%	(/.f64 1 (/.f64 (+.f64 x 1/3) (-.f64 (*.f64 x x) 1/9)))
✓	75.9%	(/.f64 (+.f64 x 1/3) (-.f64 (*.f64 x x) 1/9))
	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)
✓	99.3%	(-.f64 (+.f64 x 2/3) 1)

Compiler

Compiled 185 to 97 computations (47.6% saved)

series8.0ms (0.2%)

Counts

14 → 168

Calls

42 calls:

Time	Variable		Point	Expression
1.0ms	x	@	-inf	(/.f64 (/.f64 (-.f64 1/81 (.f64 (.f64 x (neg.f64 x)) (.f64 x (neg.f64 x)))) (-.f64 1/9 (.f64 x (neg.f64 x)))) (-.f64 -1/3 x))
1.0ms	x	@	inf	(/.f64 (/.f64 (-.f64 1/81 (.f64 (.f64 x (neg.f64 x)) (.f64 x (neg.f64 x)))) (-.f64 1/9 (.f64 x (neg.f64 x)))) (-.f64 -1/3 x))
0.0ms	x	@	0	(/.f64 (-.f64 1/81 (.f64 (.f64 x (neg.f64 x)) (.f64 x (neg.f64 x)))) (-.f64 1/9 (.f64 x (neg.f64 x))))
0.0ms	x	@	inf	(/.f64 (-.f64 1/81 (.f64 (.f64 x (neg.f64 x)) (.f64 x (neg.f64 x)))) (-.f64 1/9 (.f64 x (neg.f64 x))))
0.0ms	x	@	0	(/.f64 (/.f64 (-.f64 1/81 (.f64 (.f64 x (neg.f64 x)) (.f64 x (neg.f64 x)))) (-.f64 1/9 (.f64 x (neg.f64 x)))) (-.f64 -1/3 x))

rewrite92.0ms (2.8%)

Algorithm

1×	batch-egg-rewrite

Rules

726×	`add-sqr-sqrt`
700×	`pow1`
700×	`*-un-lft-identity`
680×	`add-exp-log`
680×	`add-cbrt-cube`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	33	330
1	793	194

Stop Event

1×	node limit

Counts

14 → 345

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))
(/.f64 (+.f64 x 1/3) (-.f64 (*.f64 x x) 1/9))
(/.f64 1 (/.f64 (+.f64 x 1/3) (-.f64 (*.f64 x x) 1/9)))
(-.f64 (*.f64 x x) 1/9)
(/.f64 (-.f64 1/81 (.f64 (.f64 x (neg.f64 x)) (.f64 x (neg.f64 x)))) (-.f64 1/9 (.f64 x (neg.f64 x))))
(/.f64 (/.f64 (-.f64 1/81 (.f64 (.f64 x (neg.f64 x)) (.f64 x (neg.f64 x)))) (-.f64 1/9 (.f64 x (neg.f64 x)))) (-.f64 -1/3 x))
(.f64 (.f64 x (neg.f64 x)) (*.f64 x (neg.f64 x)))
(-.f64 1/9 (*.f64 x (neg.f64 x)))
(*.f64 (/.f64 1 (fma.f64 x x -1/9)) (+.f64 x 1/3))
(/.f64 1 (fma.f64 x x -1/9))
(/.f64 1 (*.f64 (/.f64 1 (fma.f64 x x -1/9)) (+.f64 x 1/3)))

Outputs
(+.f64 x -1/3)
(+.f64 (+.f64 x 2/3) -1)
(*.f64 1 (+.f64 x -1/3))
(*.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 (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 2/3) 1))
(/.f64 (neg.f64 (-.f64 (pow.f64 (+.f64 x 2/3) 3) 1)) (neg.f64 (+.f64 (pow.f64 (+.f64 x 2/3) 2) (+.f64 1 (*.f64 (+.f64 x 2/3) 1)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (+.f64 x 2/3) 2) 1)) (neg.f64 (+.f64 (+.f64 x 2/3) 1)))
(pow.f64 (+.f64 x -1/3) 1)
(pow.f64 (cbrt.f64 (+.f64 x -1/3)) 3)
(pow.f64 (pow.f64 (+.f64 x -1/3) 3) 1/3)
(pow.f64 (sqrt.f64 (+.f64 x -1/3)) 2)
(sqrt.f64 (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 1 (+.f64 x 2/3) -1)
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 x 2/3)) 2) (cbrt.f64 (+.f64 x 2/3)) -1)
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(/.f64 (.f64 (-.f64 1/531441 (pow.f64 (.f64 x x) 6)) 1) (.f64 (+.f64 1/6561 (+.f64 (pow.f64 (.f64 x x) 4) (.f64 1/81 (pow.f64 x 4)))) (+.f64 1/9 (.f64 x x))))
(/.f64 (.f64 (-.f64 1/6561 (pow.f64 (.f64 x x) 4)) 1) (.f64 (+.f64 1/81 (pow.f64 x 4)) (+.f64 1/9 (.f64 x x))))
(/.f64 (neg.f64 (-.f64 1/729 (pow.f64 x 6))) (neg.f64 (+.f64 1/81 (+.f64 (pow.f64 x 4) (.f64 1/9 (.f64 x x))))))
(/.f64 (neg.f64 (neg.f64 (+.f64 1/81 (pow.f64 x 4)))) (neg.f64 (neg.f64 (+.f64 1/9 (*.f64 x x)))))
(pow.f64 (+.f64 1/9 (*.f64 x x)) 1)
(pow.f64 (cbrt.f64 (+.f64 1/9 (*.f64 x x))) 3)
(pow.f64 (pow.f64 (+.f64 1/9 (*.f64 x x)) 3) 1/3)
(pow.f64 (sqrt.f64 (+.f64 1/9 (*.f64 x x))) 2)
(pow.f64 (/.f64 (+.f64 1/9 (*.f64 x x)) (+.f64 1/81 (pow.f64 x 4))) -1)
(sqrt.f64 (pow.f64 (+.f64 1/9 (*.f64 x x)) 2))
(log.f64 (exp.f64 (+.f64 1/9 (*.f64 x x))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 1/9 (*.f64 x x)))))
(cbrt.f64 (pow.f64 (+.f64 1/9 (*.f64 x x)) 3))
(cbrt.f64 (/.f64 (pow.f64 (+.f64 1/81 (pow.f64 x 4)) 3) (pow.f64 (+.f64 1/9 (*.f64 x x)) 3)))
(expm1.f64 (log1p.f64 (+.f64 1/9 (*.f64 x x))))
(exp.f64 (log.f64 (+.f64 1/9 (*.f64 x x))))
(exp.f64 (.f64 (log.f64 (+.f64 1/9 (.f64 x x))) 1))
(log1p.f64 (expm1.f64 (+.f64 1/9 (*.f64 x x))))
(+.f64 (.f64 (/.f64 1 (fma.f64 x x -1/9)) x) (.f64 (/.f64 1 (fma.f64 x x -1/9)) 1/3))
(+.f64 (.f64 x (/.f64 1 (fma.f64 x x -1/9))) (.f64 1/3 (/.f64 1 (fma.f64 x x -1/9))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (+.f64 x 1/3) (fma.f64 x x -1/9)))) 1)
(/.f64 1 (/.f64 (fma.f64 x x -1/9) (+.f64 x 1/3)))
(/.f64 (+.f64 x 1/3) (fma.f64 x x -1/9))
(/.f64 (fma.f64 x x -1/9) (*.f64 (fma.f64 x x -1/9) (+.f64 x -1/3)))
(/.f64 (fma.f64 x x -1/9) (*.f64 (/.f64 (fma.f64 x x -1/9) 1) (+.f64 x -1/3)))
(/.f64 -1 (neg.f64 (/.f64 (fma.f64 x x -1/9) (+.f64 x 1/3))))
(/.f64 (neg.f64 (+.f64 x 1/3)) (neg.f64 (fma.f64 x x -1/9)))
(/.f64 (+.f64 (pow.f64 x 3) 1/27) (.f64 (fma.f64 x x -1/9) (fma.f64 x x (-.f64 1/9 (.f64 x 1/3)))))
(/.f64 (+.f64 (pow.f64 x 3) 1/27) (.f64 (/.f64 (fma.f64 x x -1/9) 1) (fma.f64 x x (-.f64 1/9 (.f64 x 1/3)))))
(/.f64 (.f64 (fma.f64 x x -1/9) 1) (.f64 (+.f64 x -1/3) (fma.f64 x x -1/9)))
(/.f64 (.f64 (fma.f64 x x -1/9) 1) (.f64 (+.f64 x -1/3) (/.f64 (fma.f64 x x -1/9) 1)))
(/.f64 (.f64 (fma.f64 x x -1/9) -1) (.f64 (+.f64 x -1/3) (neg.f64 (fma.f64 x x -1/9))))
(/.f64 (.f64 (+.f64 (pow.f64 x 3) 1/27) 1) (.f64 (fma.f64 x x (-.f64 1/9 (*.f64 x 1/3))) (fma.f64 x x -1/9)))
(/.f64 (.f64 (+.f64 (pow.f64 x 3) 1/27) 1) (.f64 (fma.f64 x x (-.f64 1/9 (*.f64 x 1/3))) (/.f64 (fma.f64 x x -1/9) 1)))
(/.f64 (.f64 (+.f64 (pow.f64 x 3) 1/27) -1) (.f64 (fma.f64 x x (-.f64 1/9 (*.f64 x 1/3))) (neg.f64 (fma.f64 x x -1/9))))
(/.f64 (.f64 -1 (fma.f64 x x -1/9)) (.f64 (neg.f64 (fma.f64 x x -1/9)) (+.f64 x -1/3)))
(/.f64 (.f64 -1 (+.f64 (pow.f64 x 3) 1/27)) (.f64 (neg.f64 (fma.f64 x x -1/9)) (fma.f64 x x (-.f64 1/9 (*.f64 x 1/3)))))
(/.f64 (neg.f64 (neg.f64 (+.f64 x 1/3))) (neg.f64 (neg.f64 (fma.f64 x x -1/9))))
(pow.f64 (/.f64 (+.f64 x 1/3) (fma.f64 x x -1/9)) 1)
(pow.f64 (/.f64 (fma.f64 x x -1/9) (+.f64 x 1/3)) -1)
(pow.f64 (cbrt.f64 (/.f64 (+.f64 x 1/3) (fma.f64 x x -1/9))) 3)
(pow.f64 (pow.f64 (/.f64 (+.f64 x 1/3) (fma.f64 x x -1/9)) 3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 (+.f64 x 1/3) (fma.f64 x x -1/9))) 2)
(sqrt.f64 (pow.f64 (/.f64 (+.f64 x 1/3) (fma.f64 x x -1/9)) 2))
(log.f64 (exp.f64 (/.f64 (+.f64 x 1/3) (fma.f64 x x -1/9))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (+.f64 x 1/3) (fma.f64 x x -1/9)))))
(cbrt.f64 (pow.f64 (/.f64 (+.f64 x 1/3) (fma.f64 x x -1/9)) 3))
(cbrt.f64 (*.f64 (pow.f64 (+.f64 x 1/3) 3) (pow.f64 (/.f64 1 (fma.f64 x x -1/9)) 3)))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 1 (fma.f64 x x -1/9)) 3) (pow.f64 (+.f64 x 1/3) 3)))
(cbrt.f64 (/.f64 (pow.f64 (+.f64 x 1/3) 3) (pow.f64 (fma.f64 x x -1/9) 3)))
(expm1.f64 (log1p.f64 (/.f64 (+.f64 x 1/3) (fma.f64 x x -1/9))))
(exp.f64 (log.f64 (/.f64 (+.f64 x 1/3) (fma.f64 x x -1/9))))
(exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 x 1/3) (fma.f64 x x -1/9))) 1))
(log1p.f64 (expm1.f64 (/.f64 (+.f64 x 1/3) (fma.f64 x x -1/9))))
(fma.f64 x (/.f64 1 (fma.f64 x x -1/9)) (*.f64 1/3 (/.f64 1 (fma.f64 x x -1/9))))
(fma.f64 (/.f64 1 (fma.f64 x x -1/9)) x (*.f64 (/.f64 1 (fma.f64 x x -1/9)) 1/3))
(-.f64 (exp.f64 (log1p.f64 (/.f64 1 (fma.f64 x x -1/9)))) 1)
(*.f64 1 (/.f64 1 (fma.f64 x x -1/9)))
(*.f64 (cbrt.f64 (pow.f64 (fma.f64 x x -1/9) -2)) (/.f64 1 (cbrt.f64 (fma.f64 x x -1/9))))
(*.f64 (pow.f64 (fma.f64 x x -1/9) -1/2) (pow.f64 (fma.f64 x x -1/9) -1/2))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (fma.f64 x x -1/9)) 2) -1) (pow.f64 (cbrt.f64 (fma.f64 x x -1/9)) -1))
(*.f64 (pow.f64 (sqrt.f64 (fma.f64 x x -1/9)) -1) (pow.f64 (sqrt.f64 (fma.f64 x x -1/9)) -1))
(pow.f64 (fma.f64 x x -1/9) -1)
(pow.f64 (/.f64 1 (fma.f64 x x -1/9)) 1)
(pow.f64 (/.f64 1 (cbrt.f64 (fma.f64 x x -1/9))) 3)
(pow.f64 (pow.f64 (/.f64 1 (fma.f64 x x -1/9)) 3) 1/3)
(pow.f64 (pow.f64 (fma.f64 x x -1/9) -1/2) 2)
(pow.f64 (/.f64 (fma.f64 x x -1/9) 1) -1)
(sqrt.f64 (pow.f64 (fma.f64 x x -1/9) -2))
(log.f64 (exp.f64 (/.f64 1 (fma.f64 x x -1/9))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (fma.f64 x x -1/9)))))
(cbrt.f64 (pow.f64 (/.f64 1 (fma.f64 x x -1/9)) 3))
(expm1.f64 (log1p.f64 (/.f64 1 (fma.f64 x x -1/9))))
(exp.f64 (neg.f64 (log.f64 (fma.f64 x x -1/9))))
(exp.f64 (*.f64 (log.f64 (fma.f64 x x -1/9)) -1))
(exp.f64 (*.f64 (neg.f64 (log.f64 (fma.f64 x x -1/9))) 1))
(log1p.f64 (expm1.f64 (/.f64 1 (fma.f64 x x -1/9))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (fma.f64 x x -1/9) (+.f64 x 1/3)))) 1)
(-.f64 (/.f64 (*.f64 x x) (+.f64 x 1/3)) (/.f64 1/9 (+.f64 x 1/3)))
(*.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 (cbrt.f64 (pow.f64 (/.f64 (+.f64 x 1/3) (fma.f64 x x -1/9)) -2)) (cbrt.f64 (/.f64 (fma.f64 x x -1/9) (+.f64 x 1/3))))
(*.f64 (sqrt.f64 (/.f64 (fma.f64 x x -1/9) (+.f64 x 1/3))) (sqrt.f64 (/.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 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 x 1/3) (fma.f64 x x -1/9))) 2) -1) (pow.f64 (cbrt.f64 (/.f64 (+.f64 x 1/3) (fma.f64 x x -1/9))) -1))
(*.f64 (pow.f64 (sqrt.f64 (/.f64 (+.f64 x 1/3) (fma.f64 x x -1/9))) -1) (pow.f64 (sqrt.f64 (/.f64 (+.f64 x 1/3) (fma.f64 x x -1/9))) -1))
(pow.f64 (/.f64 (+.f64 x 1/3) (fma.f64 x x -1/9)) -1)
(pow.f64 (/.f64 (fma.f64 x x -1/9) (+.f64 x 1/3)) 1)
(pow.f64 (cbrt.f64 (/.f64 (fma.f64 x x -1/9) (+.f64 x 1/3))) 3)
(pow.f64 (pow.f64 (/.f64 (fma.f64 x x -1/9) (+.f64 x 1/3)) 3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 (fma.f64 x x -1/9) (+.f64 x 1/3))) 2)
(pow.f64 (/.f64 (/.f64 (+.f64 x 1/3) (fma.f64 x x -1/9)) 1) -1)
(sqrt.f64 (pow.f64 (/.f64 (+.f64 x 1/3) (fma.f64 x x -1/9)) -2))
(log.f64 (exp.f64 (/.f64 (fma.f64 x x -1/9) (+.f64 x 1/3))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (fma.f64 x x -1/9) (+.f64 x 1/3)))))
(cbrt.f64 (pow.f64 (/.f64 (fma.f64 x x -1/9) (+.f64 x 1/3)) 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 (fma.f64 x x -1/9) (+.f64 x 1/3))))
(exp.f64 (log.f64 (/.f64 (fma.f64 x x -1/9) (+.f64 x 1/3))))
(exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 x 1/3) (fma.f64 x x -1/9))) -1))
(exp.f64 (*.f64 (log.f64 (/.f64 (fma.f64 x x -1/9) (+.f64 x 1/3))) 1))
(log1p.f64 (expm1.f64 (/.f64 (fma.f64 x x -1/9) (+.f64 x 1/3))))

simplify126.0ms (3.8%)

Algorithm

1×	egg-herbie

Rules

1202×	`times-frac`
836×	`associate-r`
778×	`associate-l`
774×	`associate-/r*`
424×	`unswap-sqr`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	658	8933
1	1610	8559

Stop Event

1×	node limit

Counts

513 → 426

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 (*.f64 -3 (pow.f64 x 2)) x) 1/3)
(-.f64 (+.f64 (.f64 -3 (pow.f64 x 2)) (+.f64 (.f64 9 (pow.f64 x 3)) x)) 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))))
-3
(-.f64 (*.f64 -9 x) 3)
(-.f64 (+.f64 (.f64 -9 x) (.f64 -27 (pow.f64 x 2))) 3)
(-.f64 (+.f64 (.f64 -9 x) (+.f64 (.f64 -81 (pow.f64 x 3)) (*.f64 -27 (pow.f64 x 2)))) 3)
(/.f64 1 x)
(+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 x 2))) (/.f64 1 x))
(+.f64 (.f64 1/3 (/.f64 1 (pow.f64 x 2))) (+.f64 (.f64 1/9 (/.f64 1 (pow.f64 x 3))) (/.f64 1 x)))
(+.f64 (.f64 1/3 (/.f64 1 (pow.f64 x 2))) (+.f64 (.f64 1/27 (/.f64 1 (pow.f64 x 4))) (+.f64 (*.f64 1/9 (/.f64 1 (pow.f64 x 3))) (/.f64 1 x))))
(/.f64 1 x)
(+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 x 2))) (/.f64 1 x))
(+.f64 (.f64 1/3 (/.f64 1 (pow.f64 x 2))) (+.f64 (.f64 1/9 (/.f64 1 (pow.f64 x 3))) (/.f64 1 x)))
(+.f64 (.f64 1/3 (/.f64 1 (pow.f64 x 2))) (+.f64 (.f64 1/27 (/.f64 1 (pow.f64 x 4))) (+.f64 (*.f64 1/9 (/.f64 1 (pow.f64 x 3))) (/.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)
-1/9
(-.f64 (pow.f64 x 2) 1/9)
(-.f64 (pow.f64 x 2) 1/9)
(-.f64 (pow.f64 x 2) 1/9)
(pow.f64 x 2)
(-.f64 (pow.f64 x 2) 1/9)
(-.f64 (pow.f64 x 2) 1/9)
(-.f64 (pow.f64 x 2) 1/9)
(pow.f64 x 2)
(-.f64 (pow.f64 x 2) 1/9)
(-.f64 (pow.f64 x 2) 1/9)
(-.f64 (pow.f64 x 2) 1/9)
1/9
(+.f64 1/9 (*.f64 -1 (pow.f64 x 2)))
(+.f64 1/9 (*.f64 -1 (pow.f64 x 2)))
(+.f64 1/9 (*.f64 -1 (pow.f64 x 2)))
(*.f64 -1 (pow.f64 x 2))
(+.f64 1/9 (*.f64 -1 (pow.f64 x 2)))
(+.f64 1/9 (*.f64 -1 (pow.f64 x 2)))
(+.f64 1/9 (*.f64 -1 (pow.f64 x 2)))
(*.f64 -1 (pow.f64 x 2))
(+.f64 1/9 (*.f64 -1 (pow.f64 x 2)))
(+.f64 1/9 (*.f64 -1 (pow.f64 x 2)))
(+.f64 1/9 (*.f64 -1 (pow.f64 x 2)))
-1/3
(-.f64 x 1/3)
(-.f64 x 1/3)
(-.f64 x 1/3)
x
(-.f64 x 1/3)
(-.f64 x 1/3)
(-.f64 x 1/3)
x
(-.f64 x 1/3)
(-.f64 x 1/3)
(-.f64 x 1/3)
(pow.f64 x 4)
(pow.f64 x 4)
(pow.f64 x 4)
(pow.f64 x 4)
(pow.f64 x 4)
(pow.f64 x 4)
(pow.f64 x 4)
(pow.f64 x 4)
(pow.f64 x 4)
(pow.f64 x 4)
(pow.f64 x 4)
(pow.f64 x 4)
1/9
(+.f64 1/9 (pow.f64 x 2))
(+.f64 1/9 (pow.f64 x 2))
(+.f64 1/9 (pow.f64 x 2))
(pow.f64 x 2)
(+.f64 1/9 (pow.f64 x 2))
(+.f64 1/9 (pow.f64 x 2))
(+.f64 1/9 (pow.f64 x 2))
(pow.f64 x 2)
(+.f64 1/9 (pow.f64 x 2))
(+.f64 1/9 (pow.f64 x 2))
(+.f64 1/9 (pow.f64 x 2))
-3
(-.f64 (*.f64 -9 x) 3)
(-.f64 (+.f64 (.f64 -9 x) (.f64 -27 (pow.f64 x 2))) 3)
(-.f64 (+.f64 (.f64 -9 x) (+.f64 (.f64 -81 (pow.f64 x 3)) (*.f64 -27 (pow.f64 x 2)))) 3)
(/.f64 1 x)
(+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 x 2))) (/.f64 1 x))
(+.f64 (.f64 1/3 (/.f64 1 (pow.f64 x 2))) (+.f64 (.f64 1/9 (/.f64 1 (pow.f64 x 3))) (/.f64 1 x)))
(+.f64 (.f64 1/3 (/.f64 1 (pow.f64 x 2))) (+.f64 (.f64 1/27 (/.f64 1 (pow.f64 x 4))) (+.f64 (*.f64 1/9 (/.f64 1 (pow.f64 x 3))) (/.f64 1 x))))
(/.f64 1 x)
(+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 x 2))) (/.f64 1 x))
(+.f64 (.f64 1/3 (/.f64 1 (pow.f64 x 2))) (+.f64 (.f64 1/9 (/.f64 1 (pow.f64 x 3))) (/.f64 1 x)))
(+.f64 (.f64 1/3 (/.f64 1 (pow.f64 x 2))) (+.f64 (.f64 1/27 (/.f64 1 (pow.f64 x 4))) (+.f64 (*.f64 1/9 (/.f64 1 (pow.f64 x 3))) (/.f64 1 x))))
-9
(-.f64 (*.f64 -81 (pow.f64 x 2)) 9)
(-.f64 (+.f64 (.f64 -81 (pow.f64 x 2)) (.f64 -729 (pow.f64 x 4))) 9)
(-.f64 (+.f64 (.f64 -81 (pow.f64 x 2)) (+.f64 (.f64 -6561 (pow.f64 x 6)) (*.f64 -729 (pow.f64 x 4)))) 9)
(/.f64 1 (pow.f64 x 2))
(+.f64 (*.f64 1/9 (/.f64 1 (pow.f64 x 4))) (/.f64 1 (pow.f64 x 2)))
(+.f64 (.f64 1/81 (/.f64 1 (pow.f64 x 6))) (+.f64 (.f64 1/9 (/.f64 1 (pow.f64 x 4))) (/.f64 1 (pow.f64 x 2))))
(+.f64 (.f64 1/81 (/.f64 1 (pow.f64 x 6))) (+.f64 (.f64 1/9 (/.f64 1 (pow.f64 x 4))) (+.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 1/729 (/.f64 1 (pow.f64 x 8))))))
(/.f64 1 (pow.f64 x 2))
(+.f64 (*.f64 1/9 (/.f64 1 (pow.f64 x 4))) (/.f64 1 (pow.f64 x 2)))
(+.f64 (.f64 1/81 (/.f64 1 (pow.f64 x 6))) (+.f64 (.f64 1/9 (/.f64 1 (pow.f64 x 4))) (/.f64 1 (pow.f64 x 2))))
(+.f64 (.f64 1/81 (/.f64 1 (pow.f64 x 6))) (+.f64 (.f64 1/9 (/.f64 1 (pow.f64 x 4))) (+.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 1/729 (/.f64 1 (pow.f64 x 8))))))
-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 x -1/3)
(+.f64 (+.f64 x 2/3) -1)
(*.f64 1 (+.f64 x -1/3))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 x -1/3)) 2) (cbrt.f64 (+.f64 x -1/3)))
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(exp.f64 (.f64 (log.f64 (.f64 x x)) 2))
(exp.f64 (*.f64 (log.f64 (pow.f64 x 4)) 1))
(log1p.f64 (expm1.f64 (pow.f64 x 4)))
(+.f64 1/9 (*.f64 x x))
(.f64 1 (+.f64 1/9 (.f64 x x)))
(.f64 (+.f64 1/81 (pow.f64 x 4)) (/.f64 1 (+.f64 1/9 (.f64 x x))))
(.f64 (pow.f64 (cbrt.f64 (+.f64 1/9 (.f64 x x))) 2) (cbrt.f64 (+.f64 1/9 (*.f64 x x))))
(.f64 (sqrt.f64 (+.f64 1/9 (.f64 x x))) (sqrt.f64 (+.f64 1/9 (*.f64 x x))))
(/.f64 1 (/.f64 (+.f64 1/9 (*.f64 x x)) (+.f64 1/81 (pow.f64 x 4))))
(/.f64 (+.f64 1/81 (pow.f64 x 4)) (+.f64 1/9 (*.f64 x x)))
(/.f64 -1 (neg.f64 (/.f64 (+.f64 1/9 (*.f64 x x)) (+.f64 1/81 (pow.f64 x 4)))))
(/.f64 (neg.f64 (+.f64 1/81 (pow.f64 x 4))) (neg.f64 (+.f64 1/9 (*.f64 x x))))
(/.f64 (-.f64 1/729 (pow.f64 x 6)) (+.f64 1/81 (+.f64 (pow.f64 x 4) (.f64 1/9 (.f64 x x)))))
(/.f64 (-.f64 (.f64 1/81 (+.f64 1/9 (.f64 x x))) (.f64 (+.f64 1/9 (.f64 x x)) (pow.f64 x 4))) (pow.f64 (+.f64 1/9 (*.f64 x x)) 2))
(/.f64 (.f64 (-.f64 1/531441 (pow.f64 (.f64 x x) 6)) 1) (.f64 (+.f64 1/6561 (+.f64 (pow.f64 (.f64 x x) 4) (.f64 1/81 (pow.f64 x 4)))) (+.f64 1/9 (.f64 x x))))
(/.f64 (.f64 (-.f64 1/6561 (pow.f64 (.f64 x x) 4)) 1) (.f64 (+.f64 1/81 (pow.f64 x 4)) (+.f64 1/9 (.f64 x x))))
(/.f64 (neg.f64 (-.f64 1/729 (pow.f64 x 6))) (neg.f64 (+.f64 1/81 (+.f64 (pow.f64 x 4) (.f64 1/9 (.f64 x x))))))
(/.f64 (neg.f64 (neg.f64 (+.f64 1/81 (pow.f64 x 4)))) (neg.f64 (neg.f64 (+.f64 1/9 (*.f64 x x)))))
(pow.f64 (+.f64 1/9 (*.f64 x x)) 1)
(pow.f64 (cbrt.f64 (+.f64 1/9 (*.f64 x x))) 3)
(pow.f64 (pow.f64 (+.f64 1/9 (*.f64 x x)) 3) 1/3)
(pow.f64 (sqrt.f64 (+.f64 1/9 (*.f64 x x))) 2)
(pow.f64 (/.f64 (+.f64 1/9 (*.f64 x x)) (+.f64 1/81 (pow.f64 x 4))) -1)
(sqrt.f64 (pow.f64 (+.f64 1/9 (*.f64 x x)) 2))
(log.f64 (exp.f64 (+.f64 1/9 (*.f64 x x))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 1/9 (*.f64 x x)))))
(cbrt.f64 (pow.f64 (+.f64 1/9 (*.f64 x x)) 3))
(cbrt.f64 (/.f64 (pow.f64 (+.f64 1/81 (pow.f64 x 4)) 3) (pow.f64 (+.f64 1/9 (*.f64 x x)) 3)))
(expm1.f64 (log1p.f64 (+.f64 1/9 (*.f64 x x))))
(exp.f64 (log.f64 (+.f64 1/9 (*.f64 x x))))
(exp.f64 (.f64 (log.f64 (+.f64 1/9 (.f64 x x))) 1))
(log1p.f64 (expm1.f64 (+.f64 1/9 (*.f64 x x))))
(+.f64 (.f64 (/.f64 1 (fma.f64 x x -1/9)) x) (.f64 (/.f64 1 (fma.f64 x x -1/9)) 1/3))
(+.f64 (.f64 x (/.f64 1 (fma.f64 x x -1/9))) (.f64 1/3 (/.f64 1 (fma.f64 x x -1/9))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (+.f64 x 1/3) (fma.f64 x x -1/9)))) 1)
(/.f64 1 (/.f64 (fma.f64 x x -1/9) (+.f64 x 1/3)))
(/.f64 (+.f64 x 1/3) (fma.f64 x x -1/9))
(/.f64 (fma.f64 x x -1/9) (*.f64 (fma.f64 x x -1/9) (+.f64 x -1/3)))
(/.f64 (fma.f64 x x -1/9) (*.f64 (/.f64 (fma.f64 x x -1/9) 1) (+.f64 x -1/3)))
(/.f64 -1 (neg.f64 (/.f64 (fma.f64 x x -1/9) (+.f64 x 1/3))))
(/.f64 (neg.f64 (+.f64 x 1/3)) (neg.f64 (fma.f64 x x -1/9)))
(/.f64 (+.f64 (pow.f64 x 3) 1/27) (.f64 (fma.f64 x x -1/9) (fma.f64 x x (-.f64 1/9 (.f64 x 1/3)))))
(/.f64 (+.f64 (pow.f64 x 3) 1/27) (.f64 (/.f64 (fma.f64 x x -1/9) 1) (fma.f64 x x (-.f64 1/9 (.f64 x 1/3)))))
(/.f64 (.f64 (fma.f64 x x -1/9) 1) (.f64 (+.f64 x -1/3) (fma.f64 x x -1/9)))
(/.f64 (.f64 (fma.f64 x x -1/9) 1) (.f64 (+.f64 x -1/3) (/.f64 (fma.f64 x x -1/9) 1)))
(/.f64 (.f64 (fma.f64 x x -1/9) -1) (.f64 (+.f64 x -1/3) (neg.f64 (fma.f64 x x -1/9))))
(/.f64 (.f64 (+.f64 (pow.f64 x 3) 1/27) 1) (.f64 (fma.f64 x x (-.f64 1/9 (*.f64 x 1/3))) (fma.f64 x x -1/9)))
(/.f64 (.f64 (+.f64 (pow.f64 x 3) 1/27) 1) (.f64 (fma.f64 x x (-.f64 1/9 (*.f64 x 1/3))) (/.f64 (fma.f64 x x -1/9) 1)))
(/.f64 (.f64 (+.f64 (pow.f64 x 3) 1/27) -1) (.f64 (fma.f64 x x (-.f64 1/9 (*.f64 x 1/3))) (neg.f64 (fma.f64 x x -1/9))))
(/.f64 (.f64 -1 (fma.f64 x x -1/9)) (.f64 (neg.f64 (fma.f64 x x -1/9)) (+.f64 x -1/3)))
(/.f64 (.f64 -1 (+.f64 (pow.f64 x 3) 1/27)) (.f64 (neg.f64 (fma.f64 x x -1/9)) (fma.f64 x x (-.f64 1/9 (*.f64 x 1/3)))))
(/.f64 (neg.f64 (neg.f64 (+.f64 x 1/3))) (neg.f64 (neg.f64 (fma.f64 x x -1/9))))
(pow.f64 (/.f64 (+.f64 x 1/3) (fma.f64 x x -1/9)) 1)
(pow.f64 (/.f64 (fma.f64 x x -1/9) (+.f64 x 1/3)) -1)
(pow.f64 (cbrt.f64 (/.f64 (+.f64 x 1/3) (fma.f64 x x -1/9))) 3)
(pow.f64 (pow.f64 (/.f64 (+.f64 x 1/3) (fma.f64 x x -1/9)) 3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 (+.f64 x 1/3) (fma.f64 x x -1/9))) 2)
(sqrt.f64 (pow.f64 (/.f64 (+.f64 x 1/3) (fma.f64 x x -1/9)) 2))
(log.f64 (exp.f64 (/.f64 (+.f64 x 1/3) (fma.f64 x x -1/9))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (+.f64 x 1/3) (fma.f64 x x -1/9)))))
(cbrt.f64 (pow.f64 (/.f64 (+.f64 x 1/3) (fma.f64 x x -1/9)) 3))
(cbrt.f64 (*.f64 (pow.f64 (+.f64 x 1/3) 3) (pow.f64 (/.f64 1 (fma.f64 x x -1/9)) 3)))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 1 (fma.f64 x x -1/9)) 3) (pow.f64 (+.f64 x 1/3) 3)))
(cbrt.f64 (/.f64 (pow.f64 (+.f64 x 1/3) 3) (pow.f64 (fma.f64 x x -1/9) 3)))
(expm1.f64 (log1p.f64 (/.f64 (+.f64 x 1/3) (fma.f64 x x -1/9))))
(exp.f64 (log.f64 (/.f64 (+.f64 x 1/3) (fma.f64 x x -1/9))))
(exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 x 1/3) (fma.f64 x x -1/9))) 1))
(log1p.f64 (expm1.f64 (/.f64 (+.f64 x 1/3) (fma.f64 x x -1/9))))
(fma.f64 x (/.f64 1 (fma.f64 x x -1/9)) (*.f64 1/3 (/.f64 1 (fma.f64 x x -1/9))))
(fma.f64 (/.f64 1 (fma.f64 x x -1/9)) x (*.f64 (/.f64 1 (fma.f64 x x -1/9)) 1/3))
(-.f64 (exp.f64 (log1p.f64 (/.f64 1 (fma.f64 x x -1/9)))) 1)
(*.f64 1 (/.f64 1 (fma.f64 x x -1/9)))
(*.f64 (cbrt.f64 (pow.f64 (fma.f64 x x -1/9) -2)) (/.f64 1 (cbrt.f64 (fma.f64 x x -1/9))))
(*.f64 (pow.f64 (fma.f64 x x -1/9) -1/2) (pow.f64 (fma.f64 x x -1/9) -1/2))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (fma.f64 x x -1/9)) 2) -1) (pow.f64 (cbrt.f64 (fma.f64 x x -1/9)) -1))
(*.f64 (pow.f64 (sqrt.f64 (fma.f64 x x -1/9)) -1) (pow.f64 (sqrt.f64 (fma.f64 x x -1/9)) -1))
(pow.f64 (fma.f64 x x -1/9) -1)
(pow.f64 (/.f64 1 (fma.f64 x x -1/9)) 1)
(pow.f64 (/.f64 1 (cbrt.f64 (fma.f64 x x -1/9))) 3)
(pow.f64 (pow.f64 (/.f64 1 (fma.f64 x x -1/9)) 3) 1/3)
(pow.f64 (pow.f64 (fma.f64 x x -1/9) -1/2) 2)
(pow.f64 (/.f64 (fma.f64 x x -1/9) 1) -1)
(sqrt.f64 (pow.f64 (fma.f64 x x -1/9) -2))
(log.f64 (exp.f64 (/.f64 1 (fma.f64 x x -1/9))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (fma.f64 x x -1/9)))))
(cbrt.f64 (pow.f64 (/.f64 1 (fma.f64 x x -1/9)) 3))
(expm1.f64 (log1p.f64 (/.f64 1 (fma.f64 x x -1/9))))
(exp.f64 (neg.f64 (log.f64 (fma.f64 x x -1/9))))
(exp.f64 (*.f64 (log.f64 (fma.f64 x x -1/9)) -1))
(exp.f64 (*.f64 (neg.f64 (log.f64 (fma.f64 x x -1/9))) 1))
(log1p.f64 (expm1.f64 (/.f64 1 (fma.f64 x x -1/9))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (fma.f64 x x -1/9) (+.f64 x 1/3)))) 1)
(-.f64 (/.f64 (*.f64 x x) (+.f64 x 1/3)) (/.f64 1/9 (+.f64 x 1/3)))
(*.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 (cbrt.f64 (pow.f64 (/.f64 (+.f64 x 1/3) (fma.f64 x x -1/9)) -2)) (cbrt.f64 (/.f64 (fma.f64 x x -1/9) (+.f64 x 1/3))))
(*.f64 (sqrt.f64 (/.f64 (fma.f64 x x -1/9) (+.f64 x 1/3))) (sqrt.f64 (/.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 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 x 1/3) (fma.f64 x x -1/9))) 2) -1) (pow.f64 (cbrt.f64 (/.f64 (+.f64 x 1/3) (fma.f64 x x -1/9))) -1))
(*.f64 (pow.f64 (sqrt.f64 (/.f64 (+.f64 x 1/3) (fma.f64 x x -1/9))) -1) (pow.f64 (sqrt.f64 (/.f64 (+.f64 x 1/3) (fma.f64 x x -1/9))) -1))
(pow.f64 (/.f64 (+.f64 x 1/3) (fma.f64 x x -1/9)) -1)
(pow.f64 (/.f64 (fma.f64 x x -1/9) (+.f64 x 1/3)) 1)
(pow.f64 (cbrt.f64 (/.f64 (fma.f64 x x -1/9) (+.f64 x 1/3))) 3)
(pow.f64 (pow.f64 (/.f64 (fma.f64 x x -1/9) (+.f64 x 1/3)) 3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 (fma.f64 x x -1/9) (+.f64 x 1/3))) 2)
(pow.f64 (/.f64 (/.f64 (+.f64 x 1/3) (fma.f64 x x -1/9)) 1) -1)
(sqrt.f64 (pow.f64 (/.f64 (+.f64 x 1/3) (fma.f64 x x -1/9)) -2))
(log.f64 (exp.f64 (/.f64 (fma.f64 x x -1/9) (+.f64 x 1/3))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (fma.f64 x x -1/9) (+.f64 x 1/3)))))
(cbrt.f64 (pow.f64 (/.f64 (fma.f64 x x -1/9) (+.f64 x 1/3)) 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 (fma.f64 x x -1/9) (+.f64 x 1/3))))
(exp.f64 (log.f64 (/.f64 (fma.f64 x x -1/9) (+.f64 x 1/3))))
(exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 x 1/3) (fma.f64 x x -1/9))) -1))
(exp.f64 (*.f64 (log.f64 (/.f64 (fma.f64 x x -1/9) (+.f64 x 1/3))) 1))
(log1p.f64 (expm1.f64 (/.f64 (fma.f64 x x -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 (*.f64 -3 (pow.f64 x 2)) x) 1/3)
(+.f64 (fma.f64 -3 (*.f64 x x) x) -1/3)
(fma.f64 -3 (*.f64 x x) (+.f64 -1/3 x))
(-.f64 (+.f64 (.f64 -3 (pow.f64 x 2)) (+.f64 (.f64 9 (pow.f64 x 3)) x)) 1/3)
(+.f64 (fma.f64 -3 (*.f64 x x) (fma.f64 9 (pow.f64 x 3) x)) -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 (.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 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 (.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 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)))))
-3
(-.f64 (*.f64 -9 x) 3)
(fma.f64 -9 x -3)
(fma.f64 x -9 -3)
(-.f64 (+.f64 (.f64 -9 x) (.f64 -27 (pow.f64 x 2))) 3)
(+.f64 (fma.f64 -9 x (.f64 -27 (.f64 x x))) -3)
(fma.f64 x -9 (fma.f64 -27 (*.f64 x x) -3))
(-.f64 (+.f64 (.f64 -9 x) (+.f64 (.f64 -81 (pow.f64 x 3)) (*.f64 -27 (pow.f64 x 2)))) 3)
(+.f64 (fma.f64 -9 x (fma.f64 -81 (pow.f64 x 3) (.f64 -27 (.f64 x x)))) -3)
(+.f64 (fma.f64 (pow.f64 x 3) -81 (.f64 x (.f64 x -27))) (fma.f64 x -9 -3))
(/.f64 1 x)
(+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 x 2))) (/.f64 1 x))
(+.f64 (/.f64 1 x) (/.f64 1/3 (*.f64 x x)))
(+.f64 (.f64 1/3 (/.f64 1 (pow.f64 x 2))) (+.f64 (.f64 1/9 (/.f64 1 (pow.f64 x 3))) (/.f64 1 x)))
(+.f64 (/.f64 1/3 (*.f64 x x)) (+.f64 (/.f64 1 x) (/.f64 1/9 (pow.f64 x 3))))
(+.f64 (/.f64 1 x) (+.f64 (/.f64 1/9 (pow.f64 x 3)) (/.f64 1/3 (*.f64 x x))))
(+.f64 (.f64 1/3 (/.f64 1 (pow.f64 x 2))) (+.f64 (.f64 1/27 (/.f64 1 (pow.f64 x 4))) (+.f64 (*.f64 1/9 (/.f64 1 (pow.f64 x 3))) (/.f64 1 x))))
(+.f64 (+.f64 (/.f64 1/3 (*.f64 x x)) (/.f64 1/27 (pow.f64 x 4))) (+.f64 (/.f64 1 x) (/.f64 1/9 (pow.f64 x 3))))
(+.f64 (+.f64 (/.f64 1 x) (/.f64 1/9 (pow.f64 x 3))) (+.f64 (/.f64 1/27 (pow.f64 x 4)) (/.f64 1/3 (*.f64 x x))))
(/.f64 1 x)
(+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 x 2))) (/.f64 1 x))
(+.f64 (/.f64 1 x) (/.f64 1/3 (*.f64 x x)))
(+.f64 (.f64 1/3 (/.f64 1 (pow.f64 x 2))) (+.f64 (.f64 1/9 (/.f64 1 (pow.f64 x 3))) (/.f64 1 x)))
(+.f64 (/.f64 1/3 (*.f64 x x)) (+.f64 (/.f64 1 x) (/.f64 1/9 (pow.f64 x 3))))
(+.f64 (/.f64 1 x) (+.f64 (/.f64 1/9 (pow.f64 x 3)) (/.f64 1/3 (*.f64 x x))))
(+.f64 (.f64 1/3 (/.f64 1 (pow.f64 x 2))) (+.f64 (.f64 1/27 (/.f64 1 (pow.f64 x 4))) (+.f64 (*.f64 1/9 (/.f64 1 (pow.f64 x 3))) (/.f64 1 x))))
(+.f64 (+.f64 (/.f64 1/3 (*.f64 x x)) (/.f64 1/27 (pow.f64 x 4))) (+.f64 (/.f64 1 x) (/.f64 1/9 (pow.f64 x 3))))
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x
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x
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x
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x
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1/9
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-1/3
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(-.f64 x 1/3)
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(-.f64 x 1/3)
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x
(-.f64 x 1/3)
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(-.f64 x 1/3)
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(-.f64 x 1/3)
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x
(-.f64 x 1/3)
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(-.f64 x 1/3)
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(-.f64 x 1/3)
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(log.f64 (+.f64 1 (expm1.f64 (/.f64 (+.f64 x 1/3) (fma.f64 x x -1/9)))))
(/.f64 (+.f64 x 1/3) (fma.f64 x x -1/9))
(cbrt.f64 (pow.f64 (/.f64 (+.f64 x 1/3) (fma.f64 x x -1/9)) 3))
(/.f64 (+.f64 x 1/3) (fma.f64 x x -1/9))
(cbrt.f64 (*.f64 (pow.f64 (+.f64 x 1/3) 3) (pow.f64 (/.f64 1 (fma.f64 x x -1/9)) 3)))
(/.f64 (+.f64 x 1/3) (fma.f64 x x -1/9))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 1 (fma.f64 x x -1/9)) 3) (pow.f64 (+.f64 x 1/3) 3)))
(/.f64 (+.f64 x 1/3) (fma.f64 x x -1/9))
(cbrt.f64 (/.f64 (pow.f64 (+.f64 x 1/3) 3) (pow.f64 (fma.f64 x x -1/9) 3)))
(/.f64 (+.f64 x 1/3) (fma.f64 x x -1/9))
(expm1.f64 (log1p.f64 (/.f64 (+.f64 x 1/3) (fma.f64 x x -1/9))))
(/.f64 (+.f64 x 1/3) (fma.f64 x x -1/9))
(exp.f64 (log.f64 (/.f64 (+.f64 x 1/3) (fma.f64 x x -1/9))))
(/.f64 (+.f64 x 1/3) (fma.f64 x x -1/9))
(exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 x 1/3) (fma.f64 x x -1/9))) 1))
(/.f64 (+.f64 x 1/3) (fma.f64 x x -1/9))
(log1p.f64 (expm1.f64 (/.f64 (+.f64 x 1/3) (fma.f64 x x -1/9))))
(/.f64 (+.f64 x 1/3) (fma.f64 x x -1/9))
(fma.f64 x (/.f64 1 (fma.f64 x x -1/9)) (*.f64 1/3 (/.f64 1 (fma.f64 x x -1/9))))
(/.f64 (+.f64 x 1/3) (fma.f64 x x -1/9))
(fma.f64 (/.f64 1 (fma.f64 x x -1/9)) x (*.f64 (/.f64 1 (fma.f64 x x -1/9)) 1/3))
(/.f64 (+.f64 x 1/3) (fma.f64 x x -1/9))
(-.f64 (exp.f64 (log1p.f64 (/.f64 1 (fma.f64 x x -1/9)))) 1)
(/.f64 1 (fma.f64 x x -1/9))
(*.f64 1 (/.f64 1 (fma.f64 x x -1/9)))
(/.f64 1 (fma.f64 x x -1/9))
(*.f64 (cbrt.f64 (pow.f64 (fma.f64 x x -1/9) -2)) (/.f64 1 (cbrt.f64 (fma.f64 x x -1/9))))
(/.f64 (*.f64 (cbrt.f64 (pow.f64 (fma.f64 x x -1/9) -2)) 1) (cbrt.f64 (fma.f64 x x -1/9)))
(/.f64 (cbrt.f64 (pow.f64 (fma.f64 x x -1/9) -2)) (cbrt.f64 (fma.f64 x x -1/9)))
(*.f64 (pow.f64 (fma.f64 x x -1/9) -1/2) (pow.f64 (fma.f64 x x -1/9) -1/2))
(/.f64 1 (fma.f64 x x -1/9))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (fma.f64 x x -1/9)) 2) -1) (pow.f64 (cbrt.f64 (fma.f64 x x -1/9)) -1))
(*.f64 (/.f64 1 (cbrt.f64 (fma.f64 x x -1/9))) (/.f64 1 (pow.f64 (cbrt.f64 (fma.f64 x x -1/9)) 2)))
(/.f64 (*.f64 1 (/.f64 1 (cbrt.f64 (fma.f64 x x -1/9)))) (pow.f64 (cbrt.f64 (fma.f64 x x -1/9)) 2))
(*.f64 (pow.f64 (sqrt.f64 (fma.f64 x x -1/9)) -1) (pow.f64 (sqrt.f64 (fma.f64 x x -1/9)) -1))
(pow.f64 (sqrt.f64 (fma.f64 x x -1/9)) -2)
(pow.f64 (fma.f64 x x -1/9) -1)
(/.f64 1 (fma.f64 x x -1/9))
(pow.f64 (/.f64 1 (fma.f64 x x -1/9)) 1)
(/.f64 1 (fma.f64 x x -1/9))
(pow.f64 (/.f64 1 (cbrt.f64 (fma.f64 x x -1/9))) 3)
(/.f64 1 (fma.f64 x x -1/9))
(pow.f64 (pow.f64 (/.f64 1 (fma.f64 x x -1/9)) 3) 1/3)
(/.f64 1 (fma.f64 x x -1/9))
(pow.f64 (pow.f64 (fma.f64 x x -1/9) -1/2) 2)
(/.f64 1 (fma.f64 x x -1/9))
(pow.f64 (/.f64 (fma.f64 x x -1/9) 1) -1)
(/.f64 1 (fma.f64 x x -1/9))
(sqrt.f64 (pow.f64 (fma.f64 x x -1/9) -2))
(log.f64 (exp.f64 (/.f64 1 (fma.f64 x x -1/9))))
(/.f64 1 (fma.f64 x x -1/9))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (fma.f64 x x -1/9)))))
(/.f64 1 (fma.f64 x x -1/9))
(cbrt.f64 (pow.f64 (/.f64 1 (fma.f64 x x -1/9)) 3))
(/.f64 1 (fma.f64 x x -1/9))
(expm1.f64 (log1p.f64 (/.f64 1 (fma.f64 x x -1/9))))
(/.f64 1 (fma.f64 x x -1/9))
(exp.f64 (neg.f64 (log.f64 (fma.f64 x x -1/9))))
(/.f64 1 (fma.f64 x x -1/9))
(exp.f64 (*.f64 (log.f64 (fma.f64 x x -1/9)) -1))
(/.f64 1 (fma.f64 x x -1/9))
(exp.f64 (*.f64 (neg.f64 (log.f64 (fma.f64 x x -1/9))) 1))
(/.f64 1 (fma.f64 x x -1/9))
(log1p.f64 (expm1.f64 (/.f64 1 (fma.f64 x x -1/9))))
(/.f64 1 (fma.f64 x x -1/9))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (fma.f64 x x -1/9) (+.f64 x 1/3)))) 1)
(/.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 (fma.f64 x x -1/9) (+.f64 x 1/3))
(*.f64 1 (/.f64 (fma.f64 x x -1/9) (+.f64 x 1/3)))
(/.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 (fma.f64 x x -1/9) (+.f64 x 1/3))
(*.f64 (cbrt.f64 (pow.f64 (/.f64 (+.f64 x 1/3) (fma.f64 x x -1/9)) -2)) (cbrt.f64 (/.f64 (fma.f64 x x -1/9) (+.f64 x 1/3))))
(*.f64 (sqrt.f64 (/.f64 (fma.f64 x x -1/9) (+.f64 x 1/3))) (sqrt.f64 (/.f64 (fma.f64 x x -1/9) (+.f64 x 1/3))))
(/.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 (fma.f64 x x -1/9) (+.f64 x 1/3))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 x 1/3) (fma.f64 x x -1/9))) 2) -1) (pow.f64 (cbrt.f64 (/.f64 (+.f64 x 1/3) (fma.f64 x x -1/9))) -1))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 (+.f64 x 1/3) (fma.f64 x x -1/9))) 2)) (/.f64 1 (cbrt.f64 (/.f64 (+.f64 x 1/3) (fma.f64 x x -1/9)))))
(/.f64 (*.f64 (/.f64 1 (cbrt.f64 (/.f64 (+.f64 x 1/3) (fma.f64 x x -1/9)))) 1) (pow.f64 (cbrt.f64 (/.f64 (+.f64 x 1/3) (fma.f64 x x -1/9))) 2))
(*.f64 (pow.f64 (sqrt.f64 (/.f64 (+.f64 x 1/3) (fma.f64 x x -1/9))) -1) (pow.f64 (sqrt.f64 (/.f64 (+.f64 x 1/3) (fma.f64 x x -1/9))) -1))
(pow.f64 (sqrt.f64 (/.f64 (+.f64 x 1/3) (fma.f64 x x -1/9))) -2)
(pow.f64 (/.f64 (+.f64 x 1/3) (fma.f64 x x -1/9)) -1)
(/.f64 (fma.f64 x x -1/9) (+.f64 x 1/3))
(pow.f64 (/.f64 (fma.f64 x x -1/9) (+.f64 x 1/3)) 1)
(/.f64 (fma.f64 x x -1/9) (+.f64 x 1/3))
(pow.f64 (cbrt.f64 (/.f64 (fma.f64 x x -1/9) (+.f64 x 1/3))) 3)
(/.f64 (fma.f64 x x -1/9) (+.f64 x 1/3))
(pow.f64 (pow.f64 (/.f64 (fma.f64 x x -1/9) (+.f64 x 1/3)) 3) 1/3)
(/.f64 (fma.f64 x x -1/9) (+.f64 x 1/3))
(pow.f64 (sqrt.f64 (/.f64 (fma.f64 x x -1/9) (+.f64 x 1/3))) 2)
(/.f64 (fma.f64 x x -1/9) (+.f64 x 1/3))
(pow.f64 (/.f64 (/.f64 (+.f64 x 1/3) (fma.f64 x x -1/9)) 1) -1)
(/.f64 (fma.f64 x x -1/9) (+.f64 x 1/3))
(sqrt.f64 (pow.f64 (/.f64 (+.f64 x 1/3) (fma.f64 x x -1/9)) -2))
(fabs.f64 (/.f64 (fma.f64 x x -1/9) (+.f64 x 1/3)))
(log.f64 (exp.f64 (/.f64 (fma.f64 x x -1/9) (+.f64 x 1/3))))
(/.f64 (fma.f64 x x -1/9) (+.f64 x 1/3))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (fma.f64 x x -1/9) (+.f64 x 1/3)))))
(/.f64 (fma.f64 x x -1/9) (+.f64 x 1/3))
(cbrt.f64 (pow.f64 (/.f64 (fma.f64 x x -1/9) (+.f64 x 1/3)) 3))
(/.f64 (fma.f64 x x -1/9) (+.f64 x 1/3))
(cbrt.f64 (/.f64 (pow.f64 (fma.f64 x x -1/9) 3) (pow.f64 (+.f64 x 1/3) 3)))
(/.f64 (fma.f64 x x -1/9) (+.f64 x 1/3))
(expm1.f64 (log1p.f64 (/.f64 (fma.f64 x x -1/9) (+.f64 x 1/3))))
(/.f64 (fma.f64 x x -1/9) (+.f64 x 1/3))
(exp.f64 (log.f64 (/.f64 (fma.f64 x x -1/9) (+.f64 x 1/3))))
(/.f64 (fma.f64 x x -1/9) (+.f64 x 1/3))
(exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 x 1/3) (fma.f64 x x -1/9))) -1))
(/.f64 (fma.f64 x x -1/9) (+.f64 x 1/3))
(exp.f64 (*.f64 (log.f64 (/.f64 (fma.f64 x x -1/9) (+.f64 x 1/3))) 1))
(/.f64 (fma.f64 x x -1/9) (+.f64 x 1/3))
(log1p.f64 (expm1.f64 (/.f64 (fma.f64 x x -1/9) (+.f64 x 1/3))))
(/.f64 (fma.f64 x x -1/9) (+.f64 x 1/3))

eval296.0ms (8.9%)

Compiler: Compiled 10849 to 8032 computations (26% saved)

prune189.0ms (5.7%)

Pruning

9 alts after pruning (2 fresh and 7 done)

	Pruned	Kept	Total
New	729	0	729
Fresh	0	2	2
Picked	0	5	5
Done	0	2	2
Total	729	9	738

Accurracy

100.0%

Counts

738 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	61.8%	(/.f64 (/.f64 (-.f64 1/81 (.f64 (.f64 x (neg.f64 x)) (.f64 x (neg.f64 x)))) (-.f64 1/9 (.f64 x (neg.f64 x)))) (-.f64 -1/3 x))
✓	76.0%	(/.f64 (-.f64 1/9 (*.f64 x x)) (-.f64 -1/3 x))
✓	75.9%	(/.f64 1 (/.f64 (+.f64 x 1/3) (-.f64 (*.f64 x x) 1/9)))
✓	48.6%	(/.f64 1 (/.f64 (+.f64 x 1/3) -1/9))
✓	75.8%	(/.f64 1 (*.f64 (/.f64 1 (fma.f64 x x -1/9)) (+.f64 x 1/3)))
✓	99.3%	(-.f64 (+.f64 x 2/3) 1)
✓	100.0%	(+.f64 x -1/3)
	51.7%	x
	48.5%	-1/3
✓	61.8%	(/.f64 (/.f64 (-.f64 1/81 (.f64 (.f64 x (neg.f64 x)) (.f64 x (neg.f64 x)))) (-.f64 1/9 (.f64 x (neg.f64 x)))) (-.f64 -1/3 x))
✓	76.0%	(/.f64 (-.f64 1/9 (*.f64 x x)) (-.f64 -1/3 x))
✓	75.9%	(/.f64 1 (/.f64 (+.f64 x 1/3) (-.f64 (*.f64 x x) 1/9)))
✓	48.6%	(/.f64 1 (/.f64 (+.f64 x 1/3) -1/9))
✓	75.8%	(/.f64 1 (*.f64 (/.f64 1 (fma.f64 x x -1/9)) (+.f64 x 1/3)))
✓	99.3%	(-.f64 (+.f64 x 2/3) 1)
✓	100.0%	(+.f64 x -1/3)
	51.7%	x
	48.5%	-1/3

Compiler

Compiled 160 to 112 computations (30% saved)

localize0.0ms (0%)

eval0.0ms (0%)

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

prune8.0ms (0.2%)

Pruning

9 alts after pruning (2 fresh and 7 done)

	Kept	Total
New	0	0
Fresh	2	2
Picked	0	0
Done	7	7
Total	9	9

Accurracy

100.0%

Counts

9 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	61.8%	(/.f64 (/.f64 (-.f64 1/81 (.f64 (.f64 x (neg.f64 x)) (.f64 x (neg.f64 x)))) (-.f64 1/9 (.f64 x (neg.f64 x)))) (-.f64 -1/3 x))
✓	76.0%	(/.f64 (-.f64 1/9 (*.f64 x x)) (-.f64 -1/3 x))
✓	75.9%	(/.f64 1 (/.f64 (+.f64 x 1/3) (-.f64 (*.f64 x x) 1/9)))
✓	48.6%	(/.f64 1 (/.f64 (+.f64 x 1/3) -1/9))
✓	75.8%	(/.f64 1 (*.f64 (/.f64 1 (fma.f64 x x -1/9)) (+.f64 x 1/3)))
✓	99.3%	(-.f64 (+.f64 x 2/3) 1)
✓	100.0%	(+.f64 x -1/3)
	51.7%	x
	48.5%	-1/3

Compiler

Compiled 193 to 132 computations (31.6% saved)

regimes18.0ms (0.5%)

Counts

15 → 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 (-.f64 1/9 (*.f64 x x)) (-.f64 -1/3 x))
(/.f64 1 (/.f64 (+.f64 x 1/3) (-.f64 (*.f64 x x) 1/9)))
(/.f64 (/.f64 (-.f64 1/81 (.f64 (.f64 x (neg.f64 x)) (.f64 x (neg.f64 x)))) (-.f64 1/9 (.f64 x (neg.f64 x)))) (-.f64 -1/3 x))
(/.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 1 (*.f64 (/.f64 1 (fma.f64 x x -1/9)) (+.f64 x 1/3)))
(log1p.f64 (expm1.f64 (+.f64 x -1/3)))
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) -1/3)

Outputs
(+.f64 x -1/3)

Calls

2 calls:

10.0ms	x
5.0ms	(-.f64 x (/.f64 1 3))

Results

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

Compiler

Compiled 121 to 82 computations (32.2% saved)

regimes11.0ms (0.3%)

Counts

2 → 3

Calls

Call 1

Inputs
-1/3
x

Outputs
x
-1/3
x

Calls

1 calls:

11.0ms

Results

Accuracy	Segments	Branch
96.9%	3	`x`

Compiler

Compiled 5 to 3 computations (40% saved)

regimes3.0ms (0.1%)

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

Inputs
-1/3

Outputs
-1/3

Calls

1 calls:

2.0ms

Results

Accuracy	Segments	Branch
48.5%	1	`x`

Compiler

Compiled 4 to 3 computations (25% saved)

bsearch25.0ms (0.7%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
10.0ms	0.30369515595051766	51.68786710901125
14.0ms	-2678.6769715503956	-4.1569178565675936e-10

Results

21.0ms

272×

body

256

valid

Compiler

Compiled 112 to 93 computations (17% saved)

simplify5.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

2×	`+-commutative`
2×	`if-if-or-not`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	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)

soundness14.0ms (0.4%)

Rules

2×	`1-exp`
2×	`sub-neg`
2×	`+-commutative`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	7
1	14	7
2	15	7

Stop Event

1×

saturated

Compiler

Compiled 19 to 15 computations (21.1% saved)

end0.0ms (0%)

preprocess70.0ms (2.1%)

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

analyze0.0ms (0%)

sample700.0ms (21.1%)

preprocess16.0ms (0.5%)

simplify4.0ms (0.1%)

eval0.0ms (0%)

prune1.0ms (0%)

localize15.0ms (0.4%)

series0.0ms (0%)

rewrite64.0ms (1.9%)

simplify46.0ms (1.4%)

eval8.0ms (0.2%)

prune15.0ms (0.5%)

localize619.0ms (18.7%)

series6.0ms (0.2%)

rewrite169.0ms (5.1%)

simplify189.0ms (5.7%)

eval268.0ms (8.1%)

prune155.0ms (4.7%)

localize171.0ms (5.2%)

series8.0ms (0.2%)

rewrite92.0ms (2.8%)

simplify126.0ms (3.8%)

eval296.0ms (8.9%)

prune189.0ms (5.7%)

localize0.0ms (0%)

eval0.0ms (0%)

prune8.0ms (0.2%)

regimes18.0ms (0.5%)

regimes11.0ms (0.3%)

regimes3.0ms (0.1%)

bsearch25.0ms (0.7%)

simplify5.0ms (0.1%)

soundness14.0ms (0.4%)

end0.0ms (0%)

preprocess70.0ms (2.1%)

Profiling