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)

sample748.0ms (41.4%)

Results

738.0ms

8256×

body

256

valid

Bogosity

preprocess45.0ms (2.5%)

Algorithm

1×	egg-herbie

Rules

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

Problems

256×

No Errors

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	13	34
1	22	32
2	32	30
3	41	30
4	49	30
5	60	30
6	74	30
7	78	30

Stop Event

1×

saturated

Calls

Call 1

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

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

Compiler

Compiled 19 to 16 computations (15.8% saved)

eval2.0ms (0.1%)

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

prune1.0ms (0.1%)

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 (0.8%)

Localize:

Found 1 expressions with local error:

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

Compiler

Compiled 7 to 5 computations (28.6% saved)

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)

rewrite96.0ms (5.3%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	10
1	60	10
2	745	10

Stop Event

1×	node limit

Counts

1 → 73

Calls

Call 1

Inputs
(+.f64 x -1/3)

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

simplify75.0ms (4.2%)

Algorithm

1×	egg-herbie

Rules

1142×	`times-frac`
1066×	`fma-neg`
986×	`fma-def`
672×	`unswap-sqr`
578×	`*-commutative`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	234	2902
1	581	2756
2	2153	2464
3	7724	2464

Stop Event

1×	node limit

Counts

85 → 112

Calls

Call 1

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

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

eval115.0ms (6.4%)

Compiler: Compiled 1523 to 1184 computations (22.3% saved)

prune18.0ms (1%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	109	3	112
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	109	4	113

Accuracy

100.0%

Counts

113 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(+.f64 x -1/3)
▶	75.2%	(expm1.f64 (log1p.f64 (+.f64 x -1/3)))
	49.3%	x
	52.1%	-1/3
✓	100.0%	(+.f64 x -1/3)
▶	75.2%	(expm1.f64 (log1p.f64 (+.f64 x -1/3)))
	49.3%	x
	52.1%	-1/3

Compiler

Compiled 28 to 22 computations (21.4% saved)

localize50.0ms (2.8%)

Localize:

Found 3 expressions with local error:

New	Accuracy	Program
	100.0%	(+.f64 x -1/3)
✓	100.0%	(log1p.f64 (+.f64 x -1/3))
✓	96.7%	(expm1.f64 (log1p.f64 (+.f64 x -1/3)))

Compiler

Compiled 16 to 12 computations (25% saved)

series1.0ms (0.1%)

Counts

2 → 24

Calls

6 calls:

Time	Variable		Point	Expression
0.0ms	x	@	inf	(log1p.f64 (+.f64 x -1/3))
0.0ms	x	@	-inf	(log1p.f64 (+.f64 x -1/3))
0.0ms	x	@	0	(log1p.f64 (+.f64 x -1/3))
0.0ms	x	@	0	(expm1.f64 (log1p.f64 (+.f64 x -1/3)))
0.0ms	x	@	inf	(expm1.f64 (log1p.f64 (+.f64 x -1/3)))

rewrite55.0ms (3.1%)

Algorithm

1×	batch-egg-rewrite

Rules

424×	`unpow-prod-down`
359×	`log1p-expm1-u`
358×	`expm1-log1p-u`
339×	`add-exp-log`
327×	`add-log-exp`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	24
1	82	24
2	953	24

Stop Event

1×	node limit

Counts

2 → 105

Calls

Call 1

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

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

simplify67.0ms (3.7%)

Algorithm

1×	egg-herbie

Rules

1766×	`fma-def`
1002×	`distribute-lft-in`
944×	`distribute-rgt-in`
744×	`unswap-sqr`
408×	`associate-+l+`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	302	3425
1	680	3223
2	1921	3023

Stop Event

1×	node limit

Counts

129 → 189

Calls

Call 1

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

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

eval100.0ms (5.6%)

Compiler: Compiled 4034 to 3283 computations (18.6% saved)

prune42.0ms (2.3%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	300	1	301
Fresh	0	2	2
Picked	1	0	1
Done	0	1	1
Total	301	4	305

Accuracy

100.0%

Counts

305 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.2%	(-.f64 (+.f64 2/3 x) 1)
✓	100.0%	(+.f64 x -1/3)
	49.3%	x
	52.1%	-1/3
▶	99.2%	(-.f64 (+.f64 2/3 x) 1)
✓	100.0%	(+.f64 x -1/3)
	49.3%	x
	52.1%	-1/3

Compiler

Compiled 28 to 22 computations (21.4% saved)

localize22.0ms (1.2%)

Localize:

Found 2 expressions with local error:

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

Compiler

Compiled 13 to 10 computations (23.1% saved)

series0.0ms (0%)

Counts

2 → 15

Calls

6 calls:

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

rewrite65.0ms (3.6%)

Algorithm

1×	batch-egg-rewrite

Rules

614×	`unpow-prod-down`
501×	`log1p-expm1-u`
501×	`expm1-log1p-u`
474×	`add-exp-log`
423×	`pow1`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	9	26
1	97	20
2	1344	20

Stop Event

1×	node limit

Counts

2 → 127

Calls

Call 1

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

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

simplify79.0ms (4.4%)

Algorithm

1×	egg-herbie

Rules

1610×	`fma-neg`
1436×	`fma-def`
856×	`log-prod`
436×	`*-commutative`
432×	`cancel-sign-sub-inv`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	289	2853
1	674	2721
2	2020	2691
3	6921	2691

Stop Event

1×	node limit

Counts

142 → 168

Calls

Call 1

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

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

eval54.0ms (3%)

Compiler: Compiled 1845 to 1527 computations (17.2% saved)

prune21.0ms (1.2%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	167	1	168
Fresh	0	2	2
Picked	1	0	1
Done	0	1	1
Total	168	4	172

Accuracy

100.0%

Counts

172 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	51.4%	(-.f64 2/3 1)
✓	100.0%	(+.f64 x -1/3)
	49.3%	x
	52.1%	-1/3
▶	51.4%	(-.f64 2/3 1)
✓	100.0%	(+.f64 x -1/3)
	49.3%	x
	52.1%	-1/3

Compiler

Compiled 24 to 20 computations (16.7% saved)

localize16.0ms (0.9%)

Localize:

Found 1 expressions with local error:

New	Accuracy	Program
✓	98.4%	(-.f64 2/3 1)

Compiler

Compiled 7 to 7 computations (0% saved)

series0.0ms (0%)

Counts: 1 → 0

rewrite13.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

2× 1-exp

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	1
1	9	1

Stop Event

1×

saturated

Counts

1 → 1

Calls

Call 1

Inputs
(-.f64 2/3 1)

Outputs
-1/3

simplify3.0ms (0.2%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1	1

Stop Event

1×

saturated

Counts

1 → 1

Calls

Call 1

Inputs
-1/3

Outputs
-1/3

eval0.0ms (0%)

Compiler: Compiled 2 to 2 computations (0% saved)

prune3.0ms (0.1%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	1	0	1
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	1	4	5

Accuracy

100.0%

Counts

5 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	51.4%	(-.f64 2/3 1)
✓	100.0%	(+.f64 x -1/3)
	49.3%	x
	52.1%	-1/3

Compiler

Compiled 36 to 29 computations (19.4% saved)

regimes12.0ms (0.6%)

Counts

7 → 1

Calls

Call 1

Inputs
-1/3
x
(+.f64 x -1/3)
(-.f64 2/3 1)
(-.f64 x (/.f64 1 3))
(-.f64 (+.f64 2/3 x) 1)
(expm1.f64 (log1p.f64 (+.f64 x -1/3)))

Outputs
(+.f64 x -1/3)

Calls

2 calls:

7.0ms	x
4.0ms	(-.f64 x (/.f64 1 3))

Results

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

Compiler

Compiled 32 to 25 computations (21.9% saved)

regimes10.0ms (0.5%)

Counts

2 → 3

Calls

Call 1

Inputs
-1/3
x

Outputs
x
-1/3
x

Calls

1 calls:

9.0ms

Results

Accuracy	Segments	Branch
97.9%	3	`x`

Compiler

Compiled 5 to 3 computations (40% saved)

regimes3.0ms (0.2%)

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

Inputs
-1/3

Outputs
-1/3

Calls

1 calls:

3.0ms

Results

Accuracy	Segments	Branch
52.1%	1	`x`

Compiler

Compiled 4 to 3 computations (25% saved)

bsearch28.0ms (1.6%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
15.0ms	0.06282043572463086	95915723436483520.0
13.0ms	-12283.568851882426	-2.8540097134476194e-5

Results

25.0ms

304×

body

256

valid

Compiler

Compiled 124 to 103 computations (16.9% saved)

simplify5.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

2×	`+-commutative`
2×	`if-if-or-not`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	44
1	22	44

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

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

soundness8.0ms (0.4%)

Rules

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

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	13	34
1	22	32
2	32	30
3	41	30
4	49	30
5	60	30
6	74	30
7	78	30

Stop Event

1×

saturated

Compiler

Compiled 19 to 15 computations (21.1% saved)

end0.0ms (0%)

preprocess32.0ms (1.8%)

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

analyze0.0ms (0%)

sample748.0ms (41.4%)

preprocess45.0ms (2.5%)

eval2.0ms (0.1%)

prune1.0ms (0.1%)

localize15.0ms (0.8%)

series0.0ms (0%)

rewrite96.0ms (5.3%)

simplify75.0ms (4.2%)

eval115.0ms (6.4%)

prune18.0ms (1%)

localize50.0ms (2.8%)

series1.0ms (0.1%)

rewrite55.0ms (3.1%)

simplify67.0ms (3.7%)

eval100.0ms (5.6%)

prune42.0ms (2.3%)

localize22.0ms (1.2%)

series0.0ms (0%)

rewrite65.0ms (3.6%)

simplify79.0ms (4.4%)

eval54.0ms (3%)

prune21.0ms (1.2%)

localize16.0ms (0.9%)

series0.0ms (0%)

rewrite13.0ms (0.7%)

simplify3.0ms (0.2%)

eval0.0ms (0%)

prune3.0ms (0.1%)

regimes12.0ms (0.6%)

regimes10.0ms (0.5%)

regimes3.0ms (0.2%)

bsearch28.0ms (1.6%)

simplify5.0ms (0.3%)

soundness8.0ms (0.4%)

end0.0ms (0%)

preprocess32.0ms (1.8%)

Profiling