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

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)

sample697.0ms (49.5%)

Results

685.0ms

8256×

body

256

valid

Bogosity

preprocess44.0ms (3.1%)

Algorithm

1×	egg-herbie

Rules

14×	`sub-neg`
12×	`fma-def`
10×	`+-commutative`
8×	`associate-+l-`
6×	`associate--r+`

Problems

256×

No Errors

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	13	34
1	20	30
2	28	30
3	36	30
4	46	30
5	58	30
6	73	30
7	77	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 1/3 (neg.f64 x))
(-.f64 1/3 x)

Compiler

Compiled 19 to 16 computations (15.8% saved)

eval0.0ms (0%)

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

prune1.0ms (0.1%)

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)

localize17.0ms (1.2%)

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)

rewrite95.0ms (6.7%)

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 → 85

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

simplify61.0ms (4.3%)

Algorithm

1×	egg-herbie

Rules

1490×	`times-frac`
1008×	`fma-def`
886×	`associate-/r*`
822×	`unswap-sqr`
406×	`div-sub`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	276	3793
1	694	3569
2	2526	3205

Stop Event

1×	node limit

Counts

97 → 135

Calls

Call 1

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

eval57.0ms (4.1%)

Compiler: Compiled 2067 to 1605 computations (22.4% saved)

prune20.0ms (1.4%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	132	3	135
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	132	4	136

Accuracy

100.0%

Counts

136 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(+.f64 x 1/3)
▶	76.6%	(*.f64 (fma.f64 x x -1/9) (/.f64 1 (+.f64 x -1/3)))
	54.7%	x
	47.6%	1/3
✓	100.0%	(+.f64 x 1/3)
▶	76.6%	(*.f64 (fma.f64 x x -1/9) (/.f64 1 (+.f64 x -1/3)))
	54.7%	x
	47.6%	1/3

Compiler

Compiled 38 to 28 computations (26.3% saved)

localize37.0ms (2.6%)

Localize:

Found 3 expressions with local error:

New	Accuracy	Program
✓	100.0%	(/.f64 1 (+.f64 x -1/3))
✓	100.0%	(+.f64 x -1/3)
✓	76.6%	(*.f64 (fma.f64 x x -1/9) (/.f64 1 (+.f64 x -1/3)))

Compiler

Compiled 28 to 20 computations (28.6% saved)

series2.0ms (0.2%)

Counts

3 → 36

Calls

9 calls:

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

rewrite67.0ms (4.8%)

Algorithm

1×	batch-egg-rewrite

Rules

960×	`unpow-prod-down`
591×	`log1p-expm1-u`
591×	`expm1-log1p-u`
588×	`log-prod`
502×	`pow1`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	13	56
1	133	36
2	1712	36

Stop Event

1×	node limit

Counts

3 → 157

Calls

Call 1

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

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

simplify74.0ms (5.2%)

Algorithm

1×	egg-herbie

Rules

1460×	`fma-def`
1052×	`distribute-lft-in`
1008×	`distribute-rgt-in`
460×	`sqr-pow`
370×	`log-prod`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	369	4397
1	848	4030
2	2724	3975

Stop Event

1×	node limit

Counts

193 → 223

Calls

Call 1

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

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

eval72.0ms (5.1%)

Compiler: Compiled 3216 to 2456 computations (23.6% saved)

prune64.0ms (4.6%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	223	0	223
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	223	4	227

Accuracy

100.0%

Counts

227 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(+.f64 x 1/3)
✓	76.6%	(*.f64 (fma.f64 x x -1/9) (/.f64 1 (+.f64 x -1/3)))
	54.7%	x
	47.6%	1/3
✓	100.0%	(+.f64 x 1/3)
✓	76.6%	(*.f64 (fma.f64 x x -1/9) (/.f64 1 (+.f64 x -1/3)))
	54.7%	x
	47.6%	1/3

Compiler

Compiled 38 to 28 computations (26.3% saved)

localize0.0ms (0%)

eval0.0ms (0%)

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

prune3.0ms (0.2%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Kept	Total
New	0	0
Fresh	2	2
Picked	0	0
Done	2	2
Total	4	4

Accuracy

100.0%

Counts

4 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(+.f64 x 1/3)
✓	76.6%	(*.f64 (fma.f64 x x -1/9) (/.f64 1 (+.f64 x -1/3)))
	54.7%	x
	47.6%	1/3
✓	100.0%	(+.f64 x 1/3)
✓	76.6%	(*.f64 (fma.f64 x x -1/9) (/.f64 1 (+.f64 x -1/3)))
	54.7%	x
	47.6%	1/3

Compiler

Compiled 38 to 28 computations (26.3% saved)

localize0.0ms (0%)

eval0.0ms (0%)

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

prune2.0ms (0.2%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Kept	Total
New	0	0
Fresh	2	2
Picked	0	0
Done	2	2
Total	4	4

Accuracy

100.0%

Counts

4 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(+.f64 x 1/3)
✓	76.6%	(*.f64 (fma.f64 x x -1/9) (/.f64 1 (+.f64 x -1/3)))
	54.7%	x
	47.6%	1/3

Compiler

Compiled 40 to 29 computations (27.5% saved)

regimes9.0ms (0.7%)

Counts

5 → 1

Calls

Call 1

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

Outputs
(+.f64 x 1/3)

Calls

2 calls:

4.0ms	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 29 to 21 computations (27.6% saved)

regimes14.0ms (1%)

Counts

2 → 3

Calls

Call 1

Inputs
1/3
x

Outputs
x
1/3
x

Calls

1 calls:

13.0ms

Results

Accuracy	Segments	Branch
98.8%	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
47.6%	1	`x`

Compiler

Compiled 4 to 3 computations (25% saved)

bsearch30.0ms (2.1%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
14.0ms	1.0902323343832602e-11	1.320498289196197
16.0ms	-16404706431556248000.0	-0.041736875475699396

Results

26.0ms

336×

body

256

valid

Compiler

Compiled 136 to 113 computations (16.9% saved)

simplify2.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

2×	`+-commutative`
2×	`if-if-or-not`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	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 5944751508129055/18014398509481984) 1/3 x))
1/3

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

Compiler

Compiled 18 to 13 computations (27.8% saved)

soundness7.0ms (0.5%)

Rules

14×	`sub-neg`
12×	`fma-def`
10×	`+-commutative`
8×	`associate-+l-`
6×	`associate--r+`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	13	34
1	20	30
2	28	30
3	36	30
4	46	30
5	58	30
6	73	30
7	77	30

Stop Event

1×

saturated

Compiler

Compiled 9 to 7 computations (22.2% saved)

end0.0ms (0%)

preprocess27.0ms (1.9%)

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

analyze0.0ms (0%)

sample697.0ms (49.5%)

preprocess44.0ms (3.1%)

eval0.0ms (0%)

prune1.0ms (0.1%)

localize17.0ms (1.2%)

series0.0ms (0%)

rewrite95.0ms (6.7%)

simplify61.0ms (4.3%)

eval57.0ms (4.1%)

prune20.0ms (1.4%)

localize37.0ms (2.6%)

series2.0ms (0.2%)

rewrite67.0ms (4.8%)

simplify74.0ms (5.2%)

eval72.0ms (5.1%)

prune64.0ms (4.6%)

localize0.0ms (0%)

eval0.0ms (0%)

prune3.0ms (0.2%)

localize0.0ms (0%)

eval0.0ms (0%)

prune2.0ms (0.2%)

regimes9.0ms (0.7%)

regimes14.0ms (1%)

regimes3.0ms (0.2%)

bsearch30.0ms (2.1%)

simplify2.0ms (0.2%)

soundness7.0ms (0.5%)

end0.0ms (0%)

preprocess27.0ms (1.9%)

Profiling