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)

sample725.0ms (44.6%)

Results

715.0ms

8256×

body

256

valid

Bogosity

preprocess54.0ms (3.3%)

Algorithm

2×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	saturated
1×	saturated

Calls

Call 1

Inputs
0

Outputs
0

Call 2

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

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

Compiler

Compiled 7 to 6 computations (14.3% saved)

simplify14.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×

saturated

Counts

1 → 2

Calls

Call 1

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

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

eval0.0ms (0%)

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

prune1.0ms (0.1%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Accurracy

100.0%

Counts

3 → 1

Alt Table

Click to see full alt table

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

Compiler

Compiled 8 to 6 computations (25% saved)

localize19.0ms (1.2%)

Local Accuracy

Found 1 expressions with local accuracy:

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

Compiler

Compiled 7 to 5 computations (28.6% saved)

series0.0ms (0%)

Counts

1 → 12

Calls

3 calls:

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

rewrite48.0ms (3%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

1 → 30

Calls

Call 1

Inputs
(+.f64 x -1/3)

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

simplify48.0ms (2.9%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 2 (0.0ms)

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

Stop Event

1×	node limit

Counts

42 → 37

Calls

Call 1

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

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

eval8.0ms (0.5%)

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

prune12.0ms (0.8%)

Pruning

5 alts after pruning (4 fresh and 1 done)

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

Accurracy

100.0%

Counts

38 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(+.f64 x -1/3)
▶	59.2%	(log.f64 (exp.f64 (+.f64 x -1/3)))
▶	18.8%	(exp.f64 (log.f64 (+.f64 x -1/3)))
	44.9%	x
	56.7%	-1/3
✓	100.0%	(+.f64 x -1/3)
▶	59.2%	(log.f64 (exp.f64 (+.f64 x -1/3)))
▶	18.8%	(exp.f64 (log.f64 (+.f64 x -1/3)))
	44.9%	x
	56.7%	-1/3

Compiler

Compiled 40 to 32 computations (20% saved)

localize202.0ms (12.4%)

Local Accuracy

Found 6 expressions with local accuracy:

New	Accuracy	Program
	100.0%	(+.f64 x -1/3)
✓	100.0%	(exp.f64 (+.f64 x -1/3))
✓	99.6%	(log.f64 (exp.f64 (+.f64 x -1/3)))
	100.0%	(+.f64 x -1/3)
✓	100.0%	(log.f64 (+.f64 x -1/3))
✓	100.0%	(exp.f64 (log.f64 (+.f64 x -1/3)))

Compiler

Compiled 30 to 22 computations (26.7% saved)

series2.0ms (0.1%)

Counts

4 → 48

Calls

12 calls:

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

rewrite70.0ms (4.3%)

Algorithm

1×	batch-egg-rewrite

Rules

1578×	`pow1`
1460×	`add-exp-log`
1460×	`log1p-expm1-u`
1460×	`expm1-log1p-u`
1426×	`add-log-exp`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	36
1	177	36
2	1969	36

Stop Event

1×	node limit

Counts

4 → 117

Calls

Call 1

Inputs
(exp.f64 (log.f64 (+.f64 x -1/3)))
(log.f64 (+.f64 x -1/3))
(log.f64 (exp.f64 (+.f64 x -1/3)))
(exp.f64 (+.f64 x -1/3))

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

simplify65.0ms (4%)

Algorithm

1×	egg-herbie

Rules

1684×	`fma-def`
1216×	`unswap-sqr`
652×	`distribute-lft-in`
626×	`distribute-rgt-in`
378×	`log-prod`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	221	2547
1	514	2377
2	1721	2169

Stop Event

1×	node limit

Counts

165 → 143

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 -1/3)
(+.f64 (*.f64 -3 x) (log.f64 -1/3))
(+.f64 (.f64 -3 x) (+.f64 (.f64 -9/2 (pow.f64 x 2)) (log.f64 -1/3)))
(+.f64 (.f64 -3 x) (+.f64 (.f64 -9 (pow.f64 x 3)) (+.f64 (*.f64 -9/2 (pow.f64 x 2)) (log.f64 -1/3))))
(*.f64 -1 (log.f64 (/.f64 1 x)))
(-.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (.f64 1/3 (/.f64 1 x)))
(-.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (+.f64 (.f64 1/3 (/.f64 1 x)) (*.f64 1/18 (/.f64 1 (pow.f64 x 2)))))
(-.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (+.f64 (.f64 1/3 (/.f64 1 x)) (+.f64 (.f64 1/81 (/.f64 1 (pow.f64 x 3))) (.f64 1/18 (/.f64 1 (pow.f64 x 2))))))
(+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))
(-.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) (.f64 1/3 (/.f64 1 x)))
(-.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) (+.f64 (.f64 1/3 (/.f64 1 x)) (*.f64 1/18 (/.f64 1 (pow.f64 x 2)))))
(-.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) (+.f64 (.f64 1/3 (/.f64 1 x)) (+.f64 (.f64 1/81 (/.f64 1 (pow.f64 x 3))) (.f64 1/18 (/.f64 1 (pow.f64 x 2))))))
-1/3
(-.f64 x 1/3)
(-.f64 x 1/3)
(-.f64 x 1/3)
x
(-.f64 x 1/3)
(-.f64 x 1/3)
(-.f64 x 1/3)
x
(-.f64 x 1/3)
(-.f64 x 1/3)
(-.f64 x 1/3)
(exp.f64 -1/3)
(+.f64 (exp.f64 -1/3) (*.f64 (exp.f64 -1/3) x))
(+.f64 (exp.f64 -1/3) (+.f64 (.f64 1/2 (.f64 (exp.f64 -1/3) (pow.f64 x 2))) (*.f64 (exp.f64 -1/3) x)))
(+.f64 (exp.f64 -1/3) (+.f64 (.f64 1/2 (.f64 (exp.f64 -1/3) (pow.f64 x 2))) (+.f64 (.f64 (exp.f64 -1/3) x) (.f64 1/6 (*.f64 (exp.f64 -1/3) (pow.f64 x 3))))))
(exp.f64 (-.f64 x 1/3))
(exp.f64 (-.f64 x 1/3))
(exp.f64 (-.f64 x 1/3))
(exp.f64 (-.f64 x 1/3))
(exp.f64 (neg.f64 (+.f64 1/3 (*.f64 -1 x))))
(exp.f64 (neg.f64 (+.f64 1/3 (*.f64 -1 x))))
(exp.f64 (neg.f64 (+.f64 1/3 (*.f64 -1 x))))
(exp.f64 (neg.f64 (+.f64 1/3 (*.f64 -1 x))))
(+.f64 x -1/3)
(+.f64 -1/3 x)
(+.f64 1 (-.f64 (+.f64 x -1/3) 1))
(+.f64 0 (+.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 (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 1 (+.f64 x -1/3)) 1)
(-.f64 (/.f64 (*.f64 x x) (+.f64 x 1/3)) (/.f64 1/9 (+.f64 x 1/3)))
(*.f64 (+.f64 x -1/3) 1)
(*.f64 1 (+.f64 x -1/3))
(*.f64 (cbrt.f64 (+.f64 x -1/3)) (pow.f64 (cbrt.f64 (+.f64 x -1/3)) 2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 x -1/3)) 2) (cbrt.f64 (+.f64 x -1/3)))
(*.f64 (sqrt.f64 (+.f64 x -1/3)) (sqrt.f64 (+.f64 x -1/3)))
(.f64 (+.f64 -1/27 (pow.f64 x 3)) (/.f64 1 (fma.f64 x x (-.f64 1/9 (.f64 x -1/3)))))
(*.f64 (fma.f64 x x -1/9) (/.f64 1 (+.f64 x 1/3)))
(/.f64 1 (/.f64 (fma.f64 x x (-.f64 1/9 (*.f64 x -1/3))) (+.f64 -1/27 (pow.f64 x 3))))
(/.f64 1 (/.f64 (+.f64 x 1/3) (fma.f64 x x -1/9)))
(/.f64 (+.f64 -1/27 (pow.f64 x 3)) (fma.f64 x x (-.f64 1/9 (*.f64 x -1/3))))
(/.f64 (+.f64 -1/27 (pow.f64 x 3)) (+.f64 1/9 (-.f64 (.f64 x x) (.f64 x -1/3))))
(/.f64 (fma.f64 x x -1/9) (+.f64 x 1/3))
(/.f64 (neg.f64 (+.f64 -1/27 (pow.f64 x 3))) (neg.f64 (fma.f64 x x (-.f64 1/9 (*.f64 x -1/3)))))
(/.f64 (neg.f64 (fma.f64 x x -1/9)) (neg.f64 (+.f64 x 1/3)))
(/.f64 (-.f64 1/9 (*.f64 x x)) (-.f64 -1/3 x))
(pow.f64 (+.f64 x -1/3) 1)
(pow.f64 (cbrt.f64 (+.f64 x -1/3)) 3)
(pow.f64 (pow.f64 (+.f64 x -1/3) 3) 1/3)
(pow.f64 (sqrt.f64 (+.f64 x -1/3)) 2)
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (+.f64 x -1/3)))) (sqrt.f64 (log.f64 (+.f64 x -1/3))))
(pow.f64 (exp.f64 1) (log.f64 (+.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))))
(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)))
(log1p.f64 (expm1.f64 (+.f64 x -1/3)))
(fma.f64 1 x -1/3)
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) -1/3)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) -1/3)
(+.f64 0 (log.f64 (+.f64 x -1/3)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (+.f64 x -1/3)) 2)) (log.f64 (cbrt.f64 (+.f64 x -1/3))))
(+.f64 (log.f64 (sqrt.f64 (+.f64 x -1/3))) (log.f64 (sqrt.f64 (+.f64 x -1/3))))
(-.f64 (log.f64 (fma.f64 x x -1/9)) (log.f64 (+.f64 x 1/3)))
(-.f64 (log.f64 (+.f64 -1/27 (pow.f64 x 3))) (log.f64 (fma.f64 x x (-.f64 1/9 (*.f64 x -1/3)))))
(-.f64 (+.f64 1 (log.f64 (+.f64 x -1/3))) 1)
(*.f64 (log.f64 (+.f64 x -1/3)) 1)
(*.f64 1 (log.f64 (+.f64 x -1/3)))
(*.f64 (cbrt.f64 (log.f64 (+.f64 x -1/3))) (pow.f64 (cbrt.f64 (log.f64 (+.f64 x -1/3))) 2))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x -1/3))) 2) (cbrt.f64 (log.f64 (+.f64 x -1/3))))
(*.f64 (sqrt.f64 (log.f64 (+.f64 x -1/3))) (sqrt.f64 (log.f64 (+.f64 x -1/3))))
(pow.f64 (log.f64 (+.f64 x -1/3)) 1)
(pow.f64 (cbrt.f64 (log.f64 (+.f64 x -1/3))) 3)
(pow.f64 (pow.f64 (log.f64 (+.f64 x -1/3)) 3) 1/3)
(pow.f64 (sqrt.f64 (log.f64 (+.f64 x -1/3))) 2)
(sqrt.f64 (pow.f64 (log.f64 (+.f64 x -1/3)) 2))
(cbrt.f64 (pow.f64 (log.f64 (+.f64 x -1/3)) 3))
(expm1.f64 (log1p.f64 (log.f64 (+.f64 x -1/3))))
(exp.f64 (log.f64 (log.f64 (+.f64 x -1/3))))
(log1p.f64 (-.f64 (+.f64 x -1/3) 1))
(+.f64 x -1/3)
(+.f64 -1/3 x)
(+.f64 1 (-.f64 (+.f64 x -1/3) 1))
(+.f64 0 (+.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 (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 1 (+.f64 x -1/3)) 1)
(-.f64 (/.f64 (*.f64 x x) (+.f64 x 1/3)) (/.f64 1/9 (+.f64 x 1/3)))
(*.f64 (+.f64 x -1/3) 1)
(*.f64 1 (+.f64 x -1/3))
(*.f64 (cbrt.f64 (+.f64 x -1/3)) (pow.f64 (cbrt.f64 (+.f64 x -1/3)) 2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 x -1/3)) 2) (cbrt.f64 (+.f64 x -1/3)))
(*.f64 (sqrt.f64 (+.f64 x -1/3)) (sqrt.f64 (+.f64 x -1/3)))
(.f64 (+.f64 -1/27 (pow.f64 x 3)) (/.f64 1 (fma.f64 x x (-.f64 1/9 (.f64 x -1/3)))))
(*.f64 (fma.f64 x x -1/9) (/.f64 1 (+.f64 x 1/3)))
(/.f64 1 (/.f64 (fma.f64 x x (-.f64 1/9 (*.f64 x -1/3))) (+.f64 -1/27 (pow.f64 x 3))))
(/.f64 1 (/.f64 (+.f64 x 1/3) (fma.f64 x x -1/9)))
(/.f64 (+.f64 -1/27 (pow.f64 x 3)) (fma.f64 x x (-.f64 1/9 (*.f64 x -1/3))))
(/.f64 (+.f64 -1/27 (pow.f64 x 3)) (+.f64 1/9 (-.f64 (.f64 x x) (.f64 x -1/3))))
(/.f64 (fma.f64 x x -1/9) (+.f64 x 1/3))
(/.f64 (neg.f64 (+.f64 -1/27 (pow.f64 x 3))) (neg.f64 (fma.f64 x x (-.f64 1/9 (*.f64 x -1/3)))))
(/.f64 (neg.f64 (fma.f64 x x -1/9)) (neg.f64 (+.f64 x 1/3)))
(/.f64 (-.f64 1/9 (*.f64 x x)) (-.f64 -1/3 x))
(pow.f64 (+.f64 x -1/3) 1)
(pow.f64 (cbrt.f64 (+.f64 x -1/3)) 3)
(pow.f64 (pow.f64 (+.f64 x -1/3) 3) 1/3)
(pow.f64 (sqrt.f64 (+.f64 x -1/3)) 2)
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (+.f64 x -1/3)))) (sqrt.f64 (log.f64 (+.f64 x -1/3))))
(pow.f64 (exp.f64 1) (log.f64 (+.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))))
(sqrt.f64 (pow.f64 (+.f64 x -1/3) 2))
(cbrt.f64 (pow.f64 (+.f64 x -1/3) 3))
(expm1.f64 (log1p.f64 (+.f64 x -1/3)))
(exp.f64 (log.f64 (+.f64 x -1/3)))
(log1p.f64 (expm1.f64 (+.f64 x -1/3)))
(fma.f64 1 x -1/3)
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) -1/3)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) -1/3)
(+.f64 1 (expm1.f64 (+.f64 x -1/3)))
(-.f64 (+.f64 1 (exp.f64 (+.f64 x -1/3))) 1)
(*.f64 (exp.f64 (+.f64 x -1/3)) 1)
(*.f64 1 (exp.f64 (+.f64 x -1/3)))
(*.f64 (exp.f64 -1/3) (exp.f64 x))
(*.f64 (exp.f64 x) (exp.f64 -1/3))
(*.f64 (cbrt.f64 (exp.f64 (+.f64 x -1/3))) (pow.f64 (cbrt.f64 (exp.f64 (+.f64 x -1/3))) 2))
(*.f64 (pow.f64 (cbrt.f64 (exp.f64 (+.f64 x -1/3))) 2) (cbrt.f64 (exp.f64 (+.f64 x -1/3))))
(*.f64 (sqrt.f64 (exp.f64 (+.f64 x -1/3))) (sqrt.f64 (exp.f64 (+.f64 x -1/3))))
(pow.f64 (exp.f64 (+.f64 x -1/3)) 1)
(pow.f64 (cbrt.f64 (exp.f64 (+.f64 x -1/3))) 3)
(pow.f64 (pow.f64 (exp.f64 (+.f64 x -1/3)) 3) 1/3)
(pow.f64 (sqrt.f64 (exp.f64 (+.f64 x -1/3))) 2)
(pow.f64 (exp.f64 1) (+.f64 x -1/3))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (+.f64 x -1/3)) 2)) (cbrt.f64 (+.f64 x -1/3)))
(pow.f64 (exp.f64 (sqrt.f64 (+.f64 x -1/3))) (sqrt.f64 (+.f64 x -1/3)))
(sqrt.f64 (pow.f64 (exp.f64 (+.f64 x -1/3)) 2))
(log.f64 (exp.f64 (exp.f64 (+.f64 x -1/3))))
(cbrt.f64 (pow.f64 (exp.f64 (+.f64 x -1/3)) 3))
(expm1.f64 (log1p.f64 (exp.f64 (+.f64 x -1/3))))
(log1p.f64 (expm1.f64 (exp.f64 (+.f64 x -1/3))))

Outputs
-1/3
(-.f64 x 1/3)
(+.f64 -1/3 x)
(-.f64 x 1/3)
(+.f64 -1/3 x)
(-.f64 x 1/3)
(+.f64 -1/3 x)
x
(-.f64 x 1/3)
(+.f64 -1/3 x)
(-.f64 x 1/3)
(+.f64 -1/3 x)
(-.f64 x 1/3)
(+.f64 -1/3 x)
x
(-.f64 x 1/3)
(+.f64 -1/3 x)
(-.f64 x 1/3)
(+.f64 -1/3 x)
(-.f64 x 1/3)
(+.f64 -1/3 x)
(log.f64 -1/3)
(+.f64 (*.f64 -3 x) (log.f64 -1/3))
(fma.f64 -3 x (log.f64 -1/3))
(fma.f64 x -3 (log.f64 -1/3))
(+.f64 (.f64 -3 x) (+.f64 (.f64 -9/2 (pow.f64 x 2)) (log.f64 -1/3)))
(fma.f64 -3 x (fma.f64 -9/2 (*.f64 x x) (log.f64 -1/3)))
(fma.f64 x -3 (fma.f64 -9/2 (*.f64 x x) (log.f64 -1/3)))
(fma.f64 x -3 (fma.f64 x (*.f64 x -9/2) (log.f64 -1/3)))
(+.f64 (.f64 -3 x) (+.f64 (.f64 -9 (pow.f64 x 3)) (+.f64 (*.f64 -9/2 (pow.f64 x 2)) (log.f64 -1/3))))
(fma.f64 -3 x (fma.f64 -9 (pow.f64 x 3) (fma.f64 -9/2 (*.f64 x x) (log.f64 -1/3))))
(fma.f64 x -3 (fma.f64 -9 (pow.f64 x 3) (fma.f64 -9/2 (*.f64 x x) (log.f64 -1/3))))
(fma.f64 x -3 (fma.f64 x (*.f64 x -9/2) (fma.f64 -9 (pow.f64 x 3) (log.f64 -1/3))))
(*.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 1/3 (/.f64 1 x)))
(-.f64 (neg.f64 (neg.f64 (log.f64 x))) (/.f64 1/3 x))
(+.f64 (log.f64 x) (/.f64 -1/3 x))
(-.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (+.f64 (.f64 1/3 (/.f64 1 x)) (*.f64 1/18 (/.f64 1 (pow.f64 x 2)))))
(-.f64 (neg.f64 (neg.f64 (log.f64 x))) (+.f64 (/.f64 1/3 x) (/.f64 1/18 (*.f64 x x))))
(-.f64 (+.f64 (log.f64 x) (/.f64 -1/3 x)) (/.f64 (/.f64 1/18 x) x))
(-.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (+.f64 (.f64 1/3 (/.f64 1 x)) (+.f64 (.f64 1/81 (/.f64 1 (pow.f64 x 3))) (.f64 1/18 (/.f64 1 (pow.f64 x 2))))))
(-.f64 (neg.f64 (neg.f64 (log.f64 x))) (+.f64 (/.f64 1/3 x) (+.f64 (/.f64 1/18 (*.f64 x x)) (/.f64 1/81 (pow.f64 x 3)))))
(-.f64 (log.f64 x) (+.f64 (+.f64 (/.f64 1/3 x) (/.f64 (/.f64 1/18 x) x)) (/.f64 1/81 (pow.f64 x 3))))
(+.f64 (log.f64 x) (-.f64 (-.f64 (/.f64 -1/3 x) (/.f64 1/81 (pow.f64 x 3))) (/.f64 (/.f64 1/18 x) x)))
(+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))
(fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1))
(-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))
(-.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) (.f64 1/3 (/.f64 1 x)))
(-.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1)) (/.f64 1/3 x))
(+.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) (/.f64 -1/3 x))
(-.f64 (log.f64 -1) (+.f64 (log.f64 (/.f64 -1 x)) (/.f64 1/3 x)))
(-.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) (+.f64 (.f64 1/3 (/.f64 1 x)) (*.f64 1/18 (/.f64 1 (pow.f64 x 2)))))
(-.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1)) (+.f64 (/.f64 1/3 x) (/.f64 1/18 (*.f64 x x))))
(+.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) (-.f64 (/.f64 -1/3 x) (/.f64 (/.f64 1/18 x) x)))
(-.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) (+.f64 (.f64 1/3 (/.f64 1 x)) (+.f64 (.f64 1/81 (/.f64 1 (pow.f64 x 3))) (.f64 1/18 (/.f64 1 (pow.f64 x 2))))))
(-.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1)) (+.f64 (/.f64 1/3 x) (+.f64 (/.f64 1/18 (*.f64 x x)) (/.f64 1/81 (pow.f64 x 3)))))
(-.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) (+.f64 (+.f64 (/.f64 1/3 x) (/.f64 (/.f64 1/18 x) x)) (/.f64 1/81 (pow.f64 x 3))))
(+.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) (-.f64 (-.f64 (/.f64 -1/3 x) (/.f64 1/81 (pow.f64 x 3))) (/.f64 (/.f64 1/18 x) x)))
-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)
(exp.f64 -1/3)
(+.f64 (exp.f64 -1/3) (*.f64 (exp.f64 -1/3) x))
(+.f64 (exp.f64 -1/3) (*.f64 x (exp.f64 -1/3)))
(fma.f64 x (exp.f64 -1/3) (exp.f64 -1/3))
(+.f64 (exp.f64 -1/3) (+.f64 (.f64 1/2 (.f64 (exp.f64 -1/3) (pow.f64 x 2))) (*.f64 (exp.f64 -1/3) x)))
(+.f64 (exp.f64 -1/3) (fma.f64 1/2 (.f64 (exp.f64 -1/3) (.f64 x x)) (*.f64 x (exp.f64 -1/3))))
(.f64 (exp.f64 -1/3) (+.f64 (+.f64 x 1) (.f64 1/2 (*.f64 x x))))
(+.f64 (exp.f64 -1/3) (+.f64 (.f64 1/2 (.f64 (exp.f64 -1/3) (pow.f64 x 2))) (+.f64 (.f64 (exp.f64 -1/3) x) (.f64 1/6 (*.f64 (exp.f64 -1/3) (pow.f64 x 3))))))
(+.f64 (exp.f64 -1/3) (fma.f64 1/2 (.f64 (exp.f64 -1/3) (.f64 x x)) (fma.f64 (exp.f64 -1/3) x (.f64 1/6 (.f64 (pow.f64 x 3) (exp.f64 -1/3))))))
(+.f64 (exp.f64 -1/3) (fma.f64 1/2 (.f64 (exp.f64 -1/3) (.f64 x x)) (fma.f64 1/6 (.f64 (pow.f64 x 3) (exp.f64 -1/3)) (.f64 x (exp.f64 -1/3)))))
(+.f64 (fma.f64 x (exp.f64 -1/3) (exp.f64 -1/3)) (.f64 (exp.f64 -1/3) (+.f64 (.f64 1/2 (.f64 x x)) (.f64 (pow.f64 x 3) 1/6))))
(exp.f64 (-.f64 x 1/3))
(exp.f64 (+.f64 -1/3 x))
(exp.f64 (-.f64 x 1/3))
(exp.f64 (+.f64 -1/3 x))
(exp.f64 (-.f64 x 1/3))
(exp.f64 (+.f64 -1/3 x))
(exp.f64 (-.f64 x 1/3))
(exp.f64 (+.f64 -1/3 x))
(exp.f64 (neg.f64 (+.f64 1/3 (*.f64 -1 x))))
(exp.f64 (+.f64 -1/3 x))
(exp.f64 (neg.f64 (+.f64 1/3 (*.f64 -1 x))))
(exp.f64 (+.f64 -1/3 x))
(exp.f64 (neg.f64 (+.f64 1/3 (*.f64 -1 x))))
(exp.f64 (+.f64 -1/3 x))
(exp.f64 (neg.f64 (+.f64 1/3 (*.f64 -1 x))))
(exp.f64 (+.f64 -1/3 x))
(+.f64 x -1/3)
(+.f64 -1/3 x)
(+.f64 -1/3 x)
(+.f64 1 (-.f64 (+.f64 x -1/3) 1))
(+.f64 -1/3 x)
(+.f64 0 (+.f64 x -1/3))
(+.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 -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 -1/3 x)
(-.f64 (+.f64 1 (+.f64 x -1/3)) 1)
(+.f64 -1/3 x)
(-.f64 (/.f64 (*.f64 x x) (+.f64 x 1/3)) (/.f64 1/9 (+.f64 x 1/3)))
(-.f64 (/.f64 x (/.f64 (+.f64 x 1/3) x)) (/.f64 1/9 (+.f64 x 1/3)))
(+.f64 (*.f64 (/.f64 x (+.f64 x 1/3)) x) (/.f64 -1/9 (+.f64 x 1/3)))
(/.f64 (fma.f64 x x -1/9) (+.f64 x 1/3))
(*.f64 (+.f64 x -1/3) 1)
(+.f64 -1/3 x)
(*.f64 1 (+.f64 x -1/3))
(+.f64 -1/3 x)
(*.f64 (cbrt.f64 (+.f64 x -1/3)) (pow.f64 (cbrt.f64 (+.f64 x -1/3)) 2))
(+.f64 -1/3 x)
(*.f64 (pow.f64 (cbrt.f64 (+.f64 x -1/3)) 2) (cbrt.f64 (+.f64 x -1/3)))
(+.f64 -1/3 x)
(*.f64 (sqrt.f64 (+.f64 x -1/3)) (sqrt.f64 (+.f64 x -1/3)))
(+.f64 -1/3 x)
(.f64 (+.f64 -1/27 (pow.f64 x 3)) (/.f64 1 (fma.f64 x x (-.f64 1/9 (.f64 x -1/3)))))
(.f64 (+.f64 (pow.f64 x 3) -1/27) (/.f64 1 (fma.f64 x x (-.f64 1/9 (.f64 -1/3 x)))))
(/.f64 (+.f64 (pow.f64 x 3) -1/27) (fma.f64 x (+.f64 x 1/3) 1/9))
(*.f64 (fma.f64 x x -1/9) (/.f64 1 (+.f64 x 1/3)))
(-.f64 (/.f64 x (/.f64 (+.f64 x 1/3) x)) (/.f64 1/9 (+.f64 x 1/3)))
(+.f64 (*.f64 (/.f64 x (+.f64 x 1/3)) x) (/.f64 -1/9 (+.f64 x 1/3)))
(/.f64 (fma.f64 x x -1/9) (+.f64 x 1/3))
(/.f64 1 (/.f64 (fma.f64 x x (-.f64 1/9 (*.f64 x -1/3))) (+.f64 -1/27 (pow.f64 x 3))))
(.f64 (+.f64 (pow.f64 x 3) -1/27) (/.f64 1 (fma.f64 x x (-.f64 1/9 (.f64 -1/3 x)))))
(/.f64 (+.f64 (pow.f64 x 3) -1/27) (fma.f64 x (+.f64 x 1/3) 1/9))
(/.f64 1 (/.f64 (+.f64 x 1/3) (fma.f64 x x -1/9)))
(-.f64 (/.f64 x (/.f64 (+.f64 x 1/3) x)) (/.f64 1/9 (+.f64 x 1/3)))
(+.f64 (*.f64 (/.f64 x (+.f64 x 1/3)) x) (/.f64 -1/9 (+.f64 x 1/3)))
(/.f64 (fma.f64 x x -1/9) (+.f64 x 1/3))
(/.f64 (+.f64 -1/27 (pow.f64 x 3)) (fma.f64 x x (-.f64 1/9 (*.f64 x -1/3))))
(.f64 (+.f64 (pow.f64 x 3) -1/27) (/.f64 1 (fma.f64 x x (-.f64 1/9 (.f64 -1/3 x)))))
(/.f64 (+.f64 (pow.f64 x 3) -1/27) (fma.f64 x (+.f64 x 1/3) 1/9))
(/.f64 (+.f64 -1/27 (pow.f64 x 3)) (+.f64 1/9 (-.f64 (.f64 x x) (.f64 x -1/3))))
(.f64 (+.f64 (pow.f64 x 3) -1/27) (/.f64 1 (fma.f64 x x (-.f64 1/9 (.f64 -1/3 x)))))
(/.f64 (+.f64 (pow.f64 x 3) -1/27) (fma.f64 x (+.f64 x 1/3) 1/9))
(/.f64 (fma.f64 x x -1/9) (+.f64 x 1/3))
(-.f64 (/.f64 x (/.f64 (+.f64 x 1/3) x)) (/.f64 1/9 (+.f64 x 1/3)))
(+.f64 (*.f64 (/.f64 x (+.f64 x 1/3)) x) (/.f64 -1/9 (+.f64 x 1/3)))
(/.f64 (neg.f64 (+.f64 -1/27 (pow.f64 x 3))) (neg.f64 (fma.f64 x x (-.f64 1/9 (*.f64 x -1/3)))))
(.f64 (+.f64 (pow.f64 x 3) -1/27) (/.f64 1 (fma.f64 x x (-.f64 1/9 (.f64 -1/3 x)))))
(/.f64 (+.f64 (pow.f64 x 3) -1/27) (fma.f64 x (+.f64 x 1/3) 1/9))
(/.f64 (neg.f64 (fma.f64 x x -1/9)) (neg.f64 (+.f64 x 1/3)))
(-.f64 (/.f64 x (/.f64 (+.f64 x 1/3) x)) (/.f64 1/9 (+.f64 x 1/3)))
(+.f64 (*.f64 (/.f64 x (+.f64 x 1/3)) x) (/.f64 -1/9 (+.f64 x 1/3)))
(/.f64 (fma.f64 x x -1/9) (+.f64 x 1/3))
(/.f64 (-.f64 1/9 (*.f64 x x)) (-.f64 -1/3 x))
(-.f64 (/.f64 x (/.f64 (+.f64 x 1/3) x)) (/.f64 1/9 (+.f64 x 1/3)))
(+.f64 (*.f64 (/.f64 x (+.f64 x 1/3)) x) (/.f64 -1/9 (+.f64 x 1/3)))
(/.f64 (fma.f64 x x -1/9) (+.f64 x 1/3))
(pow.f64 (+.f64 x -1/3) 1)
(+.f64 -1/3 x)
(pow.f64 (cbrt.f64 (+.f64 x -1/3)) 3)
(+.f64 -1/3 x)
(pow.f64 (pow.f64 (+.f64 x -1/3) 3) 1/3)
(+.f64 -1/3 x)
(pow.f64 (sqrt.f64 (+.f64 x -1/3)) 2)
(+.f64 -1/3 x)
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (+.f64 x -1/3)))) (sqrt.f64 (log.f64 (+.f64 x -1/3))))
(+.f64 -1/3 x)
(pow.f64 (exp.f64 1) (log.f64 (+.f64 x -1/3)))
(+.f64 -1/3 x)
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x -1/3))) 2)) (cbrt.f64 (log.f64 (+.f64 x -1/3))))
(+.f64 -1/3 x)
(sqrt.f64 (pow.f64 (+.f64 x -1/3) 2))
(+.f64 -1/3 x)
(log.f64 (exp.f64 (+.f64 x -1/3)))
(+.f64 -1/3 x)
(cbrt.f64 (pow.f64 (+.f64 x -1/3) 3))
(+.f64 -1/3 x)
(expm1.f64 (log1p.f64 (+.f64 x -1/3)))
(+.f64 -1/3 x)
(log1p.f64 (expm1.f64 (+.f64 x -1/3)))
(+.f64 -1/3 x)
(fma.f64 1 x -1/3)
(+.f64 -1/3 x)
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) -1/3)
(+.f64 -1/3 x)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) -1/3)
(+.f64 -1/3 x)
(+.f64 0 (log.f64 (+.f64 x -1/3)))
(log.f64 (+.f64 -1/3 x))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (+.f64 x -1/3)) 2)) (log.f64 (cbrt.f64 (+.f64 x -1/3))))
(log.f64 (+.f64 -1/3 x))
(+.f64 (log.f64 (sqrt.f64 (+.f64 x -1/3))) (log.f64 (sqrt.f64 (+.f64 x -1/3))))
(log.f64 (+.f64 -1/3 x))
(-.f64 (log.f64 (fma.f64 x x -1/9)) (log.f64 (+.f64 x 1/3)))
(-.f64 (log.f64 (+.f64 -1/27 (pow.f64 x 3))) (log.f64 (fma.f64 x x (-.f64 1/9 (*.f64 x -1/3)))))
(-.f64 (log.f64 (+.f64 (pow.f64 x 3) -1/27)) (log.f64 (fma.f64 x x (-.f64 1/9 (*.f64 -1/3 x)))))
(-.f64 (log.f64 (+.f64 (pow.f64 x 3) -1/27)) (log.f64 (fma.f64 x (+.f64 x 1/3) 1/9)))
(-.f64 (+.f64 1 (log.f64 (+.f64 x -1/3))) 1)
(log.f64 (+.f64 -1/3 x))
(*.f64 (log.f64 (+.f64 x -1/3)) 1)
(log.f64 (+.f64 -1/3 x))
(*.f64 1 (log.f64 (+.f64 x -1/3)))
(log.f64 (+.f64 -1/3 x))
(*.f64 (cbrt.f64 (log.f64 (+.f64 x -1/3))) (pow.f64 (cbrt.f64 (log.f64 (+.f64 x -1/3))) 2))
(log.f64 (+.f64 -1/3 x))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x -1/3))) 2) (cbrt.f64 (log.f64 (+.f64 x -1/3))))
(log.f64 (+.f64 -1/3 x))
(*.f64 (sqrt.f64 (log.f64 (+.f64 x -1/3))) (sqrt.f64 (log.f64 (+.f64 x -1/3))))
(log.f64 (+.f64 -1/3 x))
(pow.f64 (log.f64 (+.f64 x -1/3)) 1)
(log.f64 (+.f64 -1/3 x))
(pow.f64 (cbrt.f64 (log.f64 (+.f64 x -1/3))) 3)
(log.f64 (+.f64 -1/3 x))
(pow.f64 (pow.f64 (log.f64 (+.f64 x -1/3)) 3) 1/3)
(log.f64 (+.f64 -1/3 x))
(pow.f64 (sqrt.f64 (log.f64 (+.f64 x -1/3))) 2)
(log.f64 (+.f64 -1/3 x))
(sqrt.f64 (pow.f64 (log.f64 (+.f64 x -1/3)) 2))
(log.f64 (+.f64 -1/3 x))
(cbrt.f64 (pow.f64 (log.f64 (+.f64 x -1/3)) 3))
(log.f64 (+.f64 -1/3 x))
(expm1.f64 (log1p.f64 (log.f64 (+.f64 x -1/3))))
(log.f64 (+.f64 -1/3 x))
(exp.f64 (log.f64 (log.f64 (+.f64 x -1/3))))
(log.f64 (+.f64 -1/3 x))
(log1p.f64 (-.f64 (+.f64 x -1/3) 1))
(log.f64 (+.f64 -1/3 x))
(+.f64 x -1/3)
(+.f64 -1/3 x)
(+.f64 -1/3 x)
(+.f64 1 (-.f64 (+.f64 x -1/3) 1))
(+.f64 -1/3 x)
(+.f64 0 (+.f64 x -1/3))
(+.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 -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 -1/3 x)
(-.f64 (+.f64 1 (+.f64 x -1/3)) 1)
(+.f64 -1/3 x)
(-.f64 (/.f64 (*.f64 x x) (+.f64 x 1/3)) (/.f64 1/9 (+.f64 x 1/3)))
(-.f64 (/.f64 x (/.f64 (+.f64 x 1/3) x)) (/.f64 1/9 (+.f64 x 1/3)))
(+.f64 (*.f64 (/.f64 x (+.f64 x 1/3)) x) (/.f64 -1/9 (+.f64 x 1/3)))
(/.f64 (fma.f64 x x -1/9) (+.f64 x 1/3))
(*.f64 (+.f64 x -1/3) 1)
(+.f64 -1/3 x)
(*.f64 1 (+.f64 x -1/3))
(+.f64 -1/3 x)
(*.f64 (cbrt.f64 (+.f64 x -1/3)) (pow.f64 (cbrt.f64 (+.f64 x -1/3)) 2))
(+.f64 -1/3 x)
(*.f64 (pow.f64 (cbrt.f64 (+.f64 x -1/3)) 2) (cbrt.f64 (+.f64 x -1/3)))
(+.f64 -1/3 x)
(*.f64 (sqrt.f64 (+.f64 x -1/3)) (sqrt.f64 (+.f64 x -1/3)))
(+.f64 -1/3 x)
(.f64 (+.f64 -1/27 (pow.f64 x 3)) (/.f64 1 (fma.f64 x x (-.f64 1/9 (.f64 x -1/3)))))
(.f64 (+.f64 (pow.f64 x 3) -1/27) (/.f64 1 (fma.f64 x x (-.f64 1/9 (.f64 -1/3 x)))))
(/.f64 (+.f64 (pow.f64 x 3) -1/27) (fma.f64 x (+.f64 x 1/3) 1/9))
(*.f64 (fma.f64 x x -1/9) (/.f64 1 (+.f64 x 1/3)))
(-.f64 (/.f64 x (/.f64 (+.f64 x 1/3) x)) (/.f64 1/9 (+.f64 x 1/3)))
(+.f64 (*.f64 (/.f64 x (+.f64 x 1/3)) x) (/.f64 -1/9 (+.f64 x 1/3)))
(/.f64 (fma.f64 x x -1/9) (+.f64 x 1/3))
(/.f64 1 (/.f64 (fma.f64 x x (-.f64 1/9 (*.f64 x -1/3))) (+.f64 -1/27 (pow.f64 x 3))))
(.f64 (+.f64 (pow.f64 x 3) -1/27) (/.f64 1 (fma.f64 x x (-.f64 1/9 (.f64 -1/3 x)))))
(/.f64 (+.f64 (pow.f64 x 3) -1/27) (fma.f64 x (+.f64 x 1/3) 1/9))
(/.f64 1 (/.f64 (+.f64 x 1/3) (fma.f64 x x -1/9)))
(-.f64 (/.f64 x (/.f64 (+.f64 x 1/3) x)) (/.f64 1/9 (+.f64 x 1/3)))
(+.f64 (*.f64 (/.f64 x (+.f64 x 1/3)) x) (/.f64 -1/9 (+.f64 x 1/3)))
(/.f64 (fma.f64 x x -1/9) (+.f64 x 1/3))
(/.f64 (+.f64 -1/27 (pow.f64 x 3)) (fma.f64 x x (-.f64 1/9 (*.f64 x -1/3))))
(.f64 (+.f64 (pow.f64 x 3) -1/27) (/.f64 1 (fma.f64 x x (-.f64 1/9 (.f64 -1/3 x)))))
(/.f64 (+.f64 (pow.f64 x 3) -1/27) (fma.f64 x (+.f64 x 1/3) 1/9))
(/.f64 (+.f64 -1/27 (pow.f64 x 3)) (+.f64 1/9 (-.f64 (.f64 x x) (.f64 x -1/3))))
(.f64 (+.f64 (pow.f64 x 3) -1/27) (/.f64 1 (fma.f64 x x (-.f64 1/9 (.f64 -1/3 x)))))
(/.f64 (+.f64 (pow.f64 x 3) -1/27) (fma.f64 x (+.f64 x 1/3) 1/9))
(/.f64 (fma.f64 x x -1/9) (+.f64 x 1/3))
(-.f64 (/.f64 x (/.f64 (+.f64 x 1/3) x)) (/.f64 1/9 (+.f64 x 1/3)))
(+.f64 (*.f64 (/.f64 x (+.f64 x 1/3)) x) (/.f64 -1/9 (+.f64 x 1/3)))
(/.f64 (neg.f64 (+.f64 -1/27 (pow.f64 x 3))) (neg.f64 (fma.f64 x x (-.f64 1/9 (*.f64 x -1/3)))))
(.f64 (+.f64 (pow.f64 x 3) -1/27) (/.f64 1 (fma.f64 x x (-.f64 1/9 (.f64 -1/3 x)))))
(/.f64 (+.f64 (pow.f64 x 3) -1/27) (fma.f64 x (+.f64 x 1/3) 1/9))
(/.f64 (neg.f64 (fma.f64 x x -1/9)) (neg.f64 (+.f64 x 1/3)))
(-.f64 (/.f64 x (/.f64 (+.f64 x 1/3) x)) (/.f64 1/9 (+.f64 x 1/3)))
(+.f64 (*.f64 (/.f64 x (+.f64 x 1/3)) x) (/.f64 -1/9 (+.f64 x 1/3)))
(/.f64 (fma.f64 x x -1/9) (+.f64 x 1/3))
(/.f64 (-.f64 1/9 (*.f64 x x)) (-.f64 -1/3 x))
(-.f64 (/.f64 x (/.f64 (+.f64 x 1/3) x)) (/.f64 1/9 (+.f64 x 1/3)))
(+.f64 (*.f64 (/.f64 x (+.f64 x 1/3)) x) (/.f64 -1/9 (+.f64 x 1/3)))
(/.f64 (fma.f64 x x -1/9) (+.f64 x 1/3))
(pow.f64 (+.f64 x -1/3) 1)
(+.f64 -1/3 x)
(pow.f64 (cbrt.f64 (+.f64 x -1/3)) 3)
(+.f64 -1/3 x)
(pow.f64 (pow.f64 (+.f64 x -1/3) 3) 1/3)
(+.f64 -1/3 x)
(pow.f64 (sqrt.f64 (+.f64 x -1/3)) 2)
(+.f64 -1/3 x)
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (+.f64 x -1/3)))) (sqrt.f64 (log.f64 (+.f64 x -1/3))))
(+.f64 -1/3 x)
(pow.f64 (exp.f64 1) (log.f64 (+.f64 x -1/3)))
(+.f64 -1/3 x)
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x -1/3))) 2)) (cbrt.f64 (log.f64 (+.f64 x -1/3))))
(+.f64 -1/3 x)
(sqrt.f64 (pow.f64 (+.f64 x -1/3) 2))
(+.f64 -1/3 x)
(cbrt.f64 (pow.f64 (+.f64 x -1/3) 3))
(+.f64 -1/3 x)
(expm1.f64 (log1p.f64 (+.f64 x -1/3)))
(+.f64 -1/3 x)
(exp.f64 (log.f64 (+.f64 x -1/3)))
(+.f64 -1/3 x)
(log1p.f64 (expm1.f64 (+.f64 x -1/3)))
(+.f64 -1/3 x)
(fma.f64 1 x -1/3)
(+.f64 -1/3 x)
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) -1/3)
(+.f64 -1/3 x)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) -1/3)
(+.f64 -1/3 x)
(+.f64 1 (expm1.f64 (+.f64 x -1/3)))
(exp.f64 (+.f64 -1/3 x))
(-.f64 (+.f64 1 (exp.f64 (+.f64 x -1/3))) 1)
(exp.f64 (+.f64 -1/3 x))
(*.f64 (exp.f64 (+.f64 x -1/3)) 1)
(exp.f64 (+.f64 -1/3 x))
(*.f64 1 (exp.f64 (+.f64 x -1/3)))
(exp.f64 (+.f64 -1/3 x))
(*.f64 (exp.f64 -1/3) (exp.f64 x))
(exp.f64 (+.f64 -1/3 x))
(*.f64 (exp.f64 x) (exp.f64 -1/3))
(exp.f64 (+.f64 -1/3 x))
(*.f64 (cbrt.f64 (exp.f64 (+.f64 x -1/3))) (pow.f64 (cbrt.f64 (exp.f64 (+.f64 x -1/3))) 2))
(exp.f64 (+.f64 -1/3 x))
(*.f64 (pow.f64 (cbrt.f64 (exp.f64 (+.f64 x -1/3))) 2) (cbrt.f64 (exp.f64 (+.f64 x -1/3))))
(exp.f64 (+.f64 -1/3 x))
(*.f64 (sqrt.f64 (exp.f64 (+.f64 x -1/3))) (sqrt.f64 (exp.f64 (+.f64 x -1/3))))
(exp.f64 (+.f64 -1/3 x))
(pow.f64 (exp.f64 (+.f64 x -1/3)) 1)
(exp.f64 (+.f64 -1/3 x))
(pow.f64 (cbrt.f64 (exp.f64 (+.f64 x -1/3))) 3)
(exp.f64 (+.f64 -1/3 x))
(pow.f64 (pow.f64 (exp.f64 (+.f64 x -1/3)) 3) 1/3)
(exp.f64 (+.f64 -1/3 x))
(pow.f64 (sqrt.f64 (exp.f64 (+.f64 x -1/3))) 2)
(exp.f64 (+.f64 -1/3 x))
(pow.f64 (exp.f64 1) (+.f64 x -1/3))
(exp.f64 (+.f64 -1/3 x))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (+.f64 x -1/3)) 2)) (cbrt.f64 (+.f64 x -1/3)))
(exp.f64 (+.f64 -1/3 x))
(pow.f64 (exp.f64 (sqrt.f64 (+.f64 x -1/3))) (sqrt.f64 (+.f64 x -1/3)))
(exp.f64 (+.f64 -1/3 x))
(sqrt.f64 (pow.f64 (exp.f64 (+.f64 x -1/3)) 2))
(exp.f64 (+.f64 -1/3 x))
(log.f64 (exp.f64 (exp.f64 (+.f64 x -1/3))))
(exp.f64 (+.f64 -1/3 x))
(cbrt.f64 (pow.f64 (exp.f64 (+.f64 x -1/3)) 3))
(exp.f64 (+.f64 -1/3 x))
(expm1.f64 (log1p.f64 (exp.f64 (+.f64 x -1/3))))
(exp.f64 (+.f64 -1/3 x))
(log1p.f64 (expm1.f64 (exp.f64 (+.f64 x -1/3))))
(exp.f64 (+.f64 -1/3 x))

eval106.0ms (6.5%)

Compiler: Compiled 3086 to 2416 computations (21.7% saved)

prune69.0ms (4.3%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	291	0	291
Fresh	0	2	2
Picked	0	2	2
Done	0	1	1
Total	291	5	296

Accurracy

100.0%

Counts

296 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(+.f64 x -1/3)
✓	59.2%	(log.f64 (exp.f64 (+.f64 x -1/3)))
✓	18.8%	(exp.f64 (log.f64 (+.f64 x -1/3)))
	44.9%	x
	56.7%	-1/3
✓	100.0%	(+.f64 x -1/3)
✓	59.2%	(log.f64 (exp.f64 (+.f64 x -1/3)))
✓	18.8%	(exp.f64 (log.f64 (+.f64 x -1/3)))
	44.9%	x
	56.7%	-1/3

Compiler

Compiled 40 to 32 computations (20% saved)

localize0.0ms (0%)

eval0.0ms (0%)

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

prune3.0ms (0.2%)

Pruning

5 alts after pruning (2 fresh and 3 done)

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

Accurracy

100.0%

Counts

5 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(+.f64 x -1/3)
✓	59.2%	(log.f64 (exp.f64 (+.f64 x -1/3)))
✓	18.8%	(exp.f64 (log.f64 (+.f64 x -1/3)))
	44.9%	x
	56.7%	-1/3
✓	100.0%	(+.f64 x -1/3)
✓	59.2%	(log.f64 (exp.f64 (+.f64 x -1/3)))
✓	18.8%	(exp.f64 (log.f64 (+.f64 x -1/3)))
	44.9%	x
	56.7%	-1/3

Compiler

Compiled 40 to 32 computations (20% saved)

localize0.0ms (0%)

eval0.0ms (0%)

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

prune3.0ms (0.2%)

Pruning

5 alts after pruning (2 fresh and 3 done)

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

Accurracy

100.0%

Counts

5 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(+.f64 x -1/3)
✓	59.2%	(log.f64 (exp.f64 (+.f64 x -1/3)))
✓	18.8%	(exp.f64 (log.f64 (+.f64 x -1/3)))
	44.9%	x
	56.7%	-1/3

Compiler

Compiled 41 to 32 computations (22% saved)

regimes28.0ms (1.7%)

Counts

6 → 1

Calls

Call 1

Inputs
-1/3
x
(+.f64 x -1/3)
(-.f64 x (/.f64 1 3))
(exp.f64 (log.f64 (+.f64 x -1/3)))
(log.f64 (exp.f64 (+.f64 x -1/3)))

Outputs
(+.f64 x -1/3)

Calls

2 calls:

23.0ms	x
3.0ms	(-.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 22 computations (24.1% saved)

regimes9.0ms (0.5%)

Counts

2 → 3

Calls

Call 1

Inputs
-1/3
x

Outputs
x
-1/3
x

Calls

1 calls:

8.0ms

Results

Accuracy	Segments	Branch
98.0%	3	`x`

Compiler

Compiled 5 to 3 computations (40% saved)

regimes9.0ms (0.6%)

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:

8.0ms

Results

Accuracy	Segments	Branch
56.7%	1	`x`

Compiler

Compiled 4 to 3 computations (25% saved)

bsearch73.0ms (4.5%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
61.0ms	2.7533870440646407e-6	0.478162440600116
11.0ms	-4.855259443300136	-0.0007729906669838764

Results

70.0ms

272×

body

256

valid

Compiler

Compiled 112 to 93 computations (17% 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	14	29
1	20	29

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

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

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

Compiler

Compiled 18 to 13 computations (27.8% saved)

soundness14.0ms (0.8%)

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×

saturated

Compiler

Compiled 19 to 15 computations (21.1% saved)

end37.0ms (2.3%)

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

analyze0.0ms (0%)

sample725.0ms (44.6%)

preprocess54.0ms (3.3%)

simplify14.0ms (0.9%)

eval0.0ms (0%)

prune1.0ms (0.1%)

localize19.0ms (1.2%)

series0.0ms (0%)

rewrite48.0ms (3%)

simplify48.0ms (2.9%)

eval8.0ms (0.5%)

prune12.0ms (0.8%)

localize202.0ms (12.4%)

series2.0ms (0.1%)

rewrite70.0ms (4.3%)

simplify65.0ms (4%)

eval106.0ms (6.5%)

prune69.0ms (4.3%)

localize0.0ms (0%)

eval0.0ms (0%)

prune3.0ms (0.2%)

localize0.0ms (0%)

eval0.0ms (0%)

prune3.0ms (0.2%)

regimes28.0ms (1.7%)

regimes9.0ms (0.5%)

regimes9.0ms (0.6%)

bsearch73.0ms (4.5%)

simplify5.0ms (0.3%)

soundness14.0ms (0.8%)

end37.0ms (2.3%)

Profiling