Details

analyze4.0ms (0.2%)

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	100%	0%	0%	0%	0%	0
0%	0%	100%	0%	0%	0%	0%	1
0%	0%	100%	0%	0%	0%	0%	2
25%	25%	75%	0%	0%	0%	0%	3
62.5%	62.5%	37.5%	0%	0%	0%	0%	4
78.6%	68.7%	18.7%	0%	12.5%	0%	0%	5
88.5%	71.8%	9.4%	0%	18.7%	0%	0%	6
94%	73.4%	4.7%	0%	21.9%	0%	0%	7
96.9%	74.2%	2.3%	0%	23.4%	0%	0%	8
98.5%	74.6%	1.2%	0%	24.2%	0%	0%	9
99.2%	75%	0.6%	0%	24.4%	0%	0%	10
99.6%	75.1%	0.3%	0%	24.6%	0%	0%	11
99.8%	75.1%	0.1%	0%	24.7%	0%	0%	12

Compiler

Compiled 8 to 6 computations (25% saved)

sample2.0s (73.3%)

Results

1.0s	2732×	body	1024	valid
441.0ms	3878×	body	256	valid
413.0ms	1368×	body	512	valid
84.0ms	278×	body	2048	valid
0.0ms	1×	body	256	infinite

Bogosity

preprocess28.0ms (1%)

Algorithm

2×	egg-herbie

Rules

186×	`fma-def`
78×	`associate-r`
78×	`associate--r+`
70×	`*-commutative`
66×	`associate-+l-`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	11
1	17	11
2	20	11
3	24	11
4	33	11
5	43	11
6	62	11
7	118	11
8	179	11
9	263	11
10	400	11
11	589	11
12	667	11
13	709	11
0	1	1

Stop Event

1×	saturated
1×	saturated

Calls

Call 1

Inputs
0

Outputs
0

Call 2

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

Outputs
(/.f64 (-.f64 (exp.f64 x) 1) x)
(/.f64 (expm1.f64 x) x)

Compiler

Compiled 8 to 6 computations (25% saved)

simplify28.0ms (1%)

Algorithm

1×	egg-herbie

Rules

186×	`fma-def`
78×	`associate-r`
78×	`associate--r+`
70×	`*-commutative`
66×	`associate-+l-`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	11
1	17	11
2	20	11
3	24	11
4	33	11
5	43	11
6	62	11
7	118	11
8	179	11
9	263	11
10	400	11
11	589	11
12	667	11
13	709	11

Stop Event

1×

saturated

Counts

1 → 2

Calls

Call 1

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

Outputs
(/.f64 (-.f64 (exp.f64 x) 1) x)
(/.f64 (expm1.f64 x) x)

eval0.0ms (0%)

Compiler: Compiled 11 to 7 computations (36.4% saved)

prune1.0ms (0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Error

0.02%

Counts

3 → 1

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.02%	(/.f64 (expm1.f64 x) x)

Compiler

Compiled 5 to 3 computations (40% saved)

localize4.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.02%	(/.f64 (expm1.f64 x) x)

Compiler

Compiled 8 to 3 computations (62.5% saved)

series1.0ms (0%)

Counts

1 → 12

Calls

3 calls:

Time	Variable		Point	Expression
1.0ms	x	@	-inf	(/.f64 (expm1.f64 x) x)
0.0ms	x	@	inf	(/.f64 (expm1.f64 x) x)
0.0ms	x	@	0	(/.f64 (expm1.f64 x) x)

rewrite55.0ms (2%)

Algorithm

1×	batch-egg-rewrite

Rules

1258×	`add-sqr-sqrt`
1246×	`*-un-lft-identity`
1158×	`add-cube-cbrt`
1142×	`add-cbrt-cube`
1130×	`add-exp-log`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	11
1	120	11
2	1538	11

Stop Event

1×	node limit

Counts

1 → 31

Calls

Call 1

Inputs
(/.f64 (expm1.f64 x) x)

Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 (expm1.f64 x) x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (exp.f64 x) x) (/.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (expm1.f64 x) (/.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (expm1.f64 x) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (/.f64 (expm1.f64 x) x))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (/.f64 (expm1.f64 x) x)) (sqrt.f64 (/.f64 (expm1.f64 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (expm1.f64 x)) (.f64 (sqrt.f64 (expm1.f64 x)) (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (/.f64 (expm1.f64 x) x)) (pow.f64 (cbrt.f64 (/.f64 (expm1.f64 x) x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (/.f64 (expm1.f64 x) x)) 2) (cbrt.f64 (/.f64 (expm1.f64 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) 2) (.f64 (cbrt.f64 (expm1.f64 x)) (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 x) (expm1.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (neg.f64 (expm1.f64 x)) (/.f64 1 (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (sqrt.f64 x)) (/.f64 (expm1.f64 x) (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (pow.f64 (cbrt.f64 x) 2)) (/.f64 (expm1.f64 x) (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (sqrt.f64 (expm1.f64 x)) 1) (/.f64 (sqrt.f64 (expm1.f64 x)) x))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (sqrt.f64 (expm1.f64 x)) (pow.f64 (cbrt.f64 x) 2)) (/.f64 (sqrt.f64 (expm1.f64 x)) (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) 2) 1) (/.f64 (cbrt.f64 (expm1.f64 x)) x))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) 2) (sqrt.f64 x)) (/.f64 (cbrt.f64 (expm1.f64 x)) (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) 2) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 (/.f64 (expm1.f64 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (expm1.f64 x) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (expm1.f64 x) x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (expm1.f64 x) x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (expm1.f64 x) x) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 x (expm1.f64 x)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (expm1.f64 x) (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (expm1.f64 x) x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (expm1.f64 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (expm1.f64 x) x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (expm1.f64 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (expm1.f64 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (expm1.f64 x) x)))))))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 (expm1.f64 x) x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (exp.f64 x) x) (/.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (expm1.f64 x) (/.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (expm1.f64 x) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (expm1.f64 x) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (expm1.f64 x) x)) (sqrt.f64 (/.f64 (expm1.f64 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (expm1.f64 x)) (*.f64 (sqrt.f64 (expm1.f64 x)) (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (expm1.f64 x) x)) (pow.f64 (cbrt.f64 (/.f64 (expm1.f64 x) x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (expm1.f64 x) x)) 2) (cbrt.f64 (/.f64 (expm1.f64 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) 2) (*.f64 (cbrt.f64 (expm1.f64 x)) (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 x) (expm1.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (expm1.f64 x)) (/.f64 1 (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 (expm1.f64 x) (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 x) 2)) (/.f64 (expm1.f64 x) (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (expm1.f64 x)) 1) (/.f64 (sqrt.f64 (expm1.f64 x)) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (expm1.f64 x)) (pow.f64 (cbrt.f64 x) 2)) (/.f64 (sqrt.f64 (expm1.f64 x)) (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) 2) 1) (/.f64 (cbrt.f64 (expm1.f64 x)) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) 2) (sqrt.f64 x)) (/.f64 (cbrt.f64 (expm1.f64 x)) (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) 2) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 (/.f64 (expm1.f64 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (expm1.f64 x) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (expm1.f64 x) x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (expm1.f64 x) x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (expm1.f64 x) x) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 x (expm1.f64 x)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (expm1.f64 x) (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (expm1.f64 x) x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (expm1.f64 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (expm1.f64 x) x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (expm1.f64 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (expm1.f64 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (expm1.f64 x) x)))))))

simplify56.0ms (2.1%)

Algorithm

1×	egg-herbie

Rules

1044×	`associate-+r+`
848×	`associate-+l+`
802×	`*-commutative`
596×	`associate-*r/`
416×	`associate-+l-`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	97	595
1	240	579
2	990	579
3	4388	579

Stop Event

1×	node limit

Counts

43 → 48

Calls

Call 1

Inputs
1
(+.f64 (*.f64 1/2 x) 1)
(+.f64 (.f64 1/2 x) (+.f64 (.f64 1/6 (pow.f64 x 2)) 1))
(+.f64 (.f64 1/2 x) (+.f64 (.f64 1/6 (pow.f64 x 2)) (+.f64 1 (*.f64 1/24 (pow.f64 x 3)))))
(/.f64 (-.f64 (exp.f64 x) 1) x)
(/.f64 (-.f64 (exp.f64 x) 1) x)
(/.f64 (-.f64 (exp.f64 x) 1) x)
(/.f64 (-.f64 (exp.f64 x) 1) x)
(/.f64 (-.f64 (exp.f64 x) 1) x)
(/.f64 (-.f64 (exp.f64 x) 1) x)
(/.f64 (-.f64 (exp.f64 x) 1) x)
(/.f64 (-.f64 (exp.f64 x) 1) x)
(-.f64 (+.f64 1 (/.f64 (expm1.f64 x) x)) 1)
(-.f64 (/.f64 (exp.f64 x) x) (/.f64 1 x))
(*.f64 (expm1.f64 x) (/.f64 1 x))
(*.f64 (/.f64 (expm1.f64 x) x) 1)
(*.f64 1 (/.f64 (expm1.f64 x) x))
(*.f64 (sqrt.f64 (/.f64 (expm1.f64 x) x)) (sqrt.f64 (/.f64 (expm1.f64 x) x)))
(.f64 (sqrt.f64 (expm1.f64 x)) (.f64 (sqrt.f64 (expm1.f64 x)) (/.f64 1 x)))
(*.f64 (cbrt.f64 (/.f64 (expm1.f64 x) x)) (pow.f64 (cbrt.f64 (/.f64 (expm1.f64 x) x)) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (expm1.f64 x) x)) 2) (cbrt.f64 (/.f64 (expm1.f64 x) x)))
(.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) 2) (.f64 (cbrt.f64 (expm1.f64 x)) (/.f64 1 x)))
(*.f64 (/.f64 1 x) (expm1.f64 x))
(*.f64 (neg.f64 (expm1.f64 x)) (/.f64 1 (neg.f64 x)))
(*.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 (expm1.f64 x) (sqrt.f64 x)))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 x) 2)) (/.f64 (expm1.f64 x) (cbrt.f64 x)))
(*.f64 (/.f64 (sqrt.f64 (expm1.f64 x)) 1) (/.f64 (sqrt.f64 (expm1.f64 x)) x))
(*.f64 (/.f64 (sqrt.f64 (expm1.f64 x)) (pow.f64 (cbrt.f64 x) 2)) (/.f64 (sqrt.f64 (expm1.f64 x)) (cbrt.f64 x)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) 2) 1) (/.f64 (cbrt.f64 (expm1.f64 x)) x))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) 2) (sqrt.f64 x)) (/.f64 (cbrt.f64 (expm1.f64 x)) (sqrt.f64 x)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) 2) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 (/.f64 (expm1.f64 x) x)))
(pow.f64 (/.f64 (expm1.f64 x) x) 1)
(pow.f64 (sqrt.f64 (/.f64 (expm1.f64 x) x)) 2)
(pow.f64 (cbrt.f64 (/.f64 (expm1.f64 x) x)) 3)
(pow.f64 (pow.f64 (/.f64 (expm1.f64 x) x) 3) 1/3)
(pow.f64 (/.f64 x (expm1.f64 x)) -1)
(neg.f64 (/.f64 (expm1.f64 x) (neg.f64 x)))
(sqrt.f64 (pow.f64 (/.f64 (expm1.f64 x) x) 2))
(log.f64 (exp.f64 (/.f64 (expm1.f64 x) x)))
(cbrt.f64 (pow.f64 (/.f64 (expm1.f64 x) x) 3))
(expm1.f64 (log1p.f64 (/.f64 (expm1.f64 x) x)))
(exp.f64 (log.f64 (/.f64 (expm1.f64 x) x)))
(log1p.f64 (expm1.f64 (/.f64 (expm1.f64 x) x)))

Outputs
1
(+.f64 (*.f64 1/2 x) 1)
(fma.f64 1/2 x 1)
(+.f64 (.f64 1/2 x) (+.f64 (.f64 1/6 (pow.f64 x 2)) 1))
(fma.f64 1/2 x (fma.f64 1/6 (*.f64 x x) 1))
(fma.f64 1/2 x (fma.f64 x (*.f64 x 1/6) 1))
(+.f64 (.f64 1/2 x) (+.f64 (.f64 1/6 (pow.f64 x 2)) (+.f64 1 (*.f64 1/24 (pow.f64 x 3)))))
(fma.f64 1/2 x (+.f64 (fma.f64 1/6 (.f64 x x) 1) (.f64 1/24 (pow.f64 x 3))))
(fma.f64 1/2 x (fma.f64 1/6 (*.f64 x x) (fma.f64 1/24 (pow.f64 x 3) 1)))
(fma.f64 1/2 x (fma.f64 x (*.f64 x 1/6) (fma.f64 1/24 (pow.f64 x 3) 1)))
(fma.f64 x (*.f64 x 1/6) (fma.f64 1/2 x (fma.f64 1/24 (pow.f64 x 3) 1)))
(/.f64 (-.f64 (exp.f64 x) 1) x)
(/.f64 (expm1.f64 x) x)
(/.f64 (-.f64 (exp.f64 x) 1) x)
(/.f64 (expm1.f64 x) x)
(/.f64 (-.f64 (exp.f64 x) 1) x)
(/.f64 (expm1.f64 x) x)
(/.f64 (-.f64 (exp.f64 x) 1) x)
(/.f64 (expm1.f64 x) x)
(/.f64 (-.f64 (exp.f64 x) 1) x)
(/.f64 (expm1.f64 x) x)
(/.f64 (-.f64 (exp.f64 x) 1) x)
(/.f64 (expm1.f64 x) x)
(/.f64 (-.f64 (exp.f64 x) 1) x)
(/.f64 (expm1.f64 x) x)
(/.f64 (-.f64 (exp.f64 x) 1) x)
(/.f64 (expm1.f64 x) x)
(-.f64 (+.f64 1 (/.f64 (expm1.f64 x) x)) 1)
(/.f64 (expm1.f64 x) x)
(-.f64 (/.f64 (exp.f64 x) x) (/.f64 1 x))
(/.f64 (expm1.f64 x) x)
(*.f64 (expm1.f64 x) (/.f64 1 x))
(/.f64 (expm1.f64 x) x)
(*.f64 (/.f64 (expm1.f64 x) x) 1)
(/.f64 (expm1.f64 x) x)
(*.f64 1 (/.f64 (expm1.f64 x) x))
(/.f64 (expm1.f64 x) x)
(*.f64 (sqrt.f64 (/.f64 (expm1.f64 x) x)) (sqrt.f64 (/.f64 (expm1.f64 x) x)))
(/.f64 (expm1.f64 x) x)
(.f64 (sqrt.f64 (expm1.f64 x)) (.f64 (sqrt.f64 (expm1.f64 x)) (/.f64 1 x)))
(/.f64 (expm1.f64 x) x)
(*.f64 (cbrt.f64 (/.f64 (expm1.f64 x) x)) (pow.f64 (cbrt.f64 (/.f64 (expm1.f64 x) x)) 2))
(/.f64 (expm1.f64 x) x)
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (expm1.f64 x) x)) 2) (cbrt.f64 (/.f64 (expm1.f64 x) x)))
(/.f64 (expm1.f64 x) x)
(.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) 2) (.f64 (cbrt.f64 (expm1.f64 x)) (/.f64 1 x)))
(/.f64 (expm1.f64 x) x)
(*.f64 (/.f64 1 x) (expm1.f64 x))
(/.f64 (expm1.f64 x) x)
(*.f64 (neg.f64 (expm1.f64 x)) (/.f64 1 (neg.f64 x)))
(/.f64 (expm1.f64 x) x)
(*.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 (expm1.f64 x) (sqrt.f64 x)))
(/.f64 (expm1.f64 x) x)
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 x) 2)) (/.f64 (expm1.f64 x) (cbrt.f64 x)))
(/.f64 (/.f64 (expm1.f64 x) (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2))
(/.f64 (expm1.f64 x) (*.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x)))
(/.f64 (expm1.f64 x) (*.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) 2)))
(*.f64 (/.f64 (sqrt.f64 (expm1.f64 x)) 1) (/.f64 (sqrt.f64 (expm1.f64 x)) x))
(/.f64 (expm1.f64 x) x)
(*.f64 (/.f64 (sqrt.f64 (expm1.f64 x)) (pow.f64 (cbrt.f64 x) 2)) (/.f64 (sqrt.f64 (expm1.f64 x)) (cbrt.f64 x)))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 x) 2)) (/.f64 (expm1.f64 x) (cbrt.f64 x)))
(/.f64 (/.f64 (expm1.f64 x) (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2))
(/.f64 (expm1.f64 x) (*.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x)))
(/.f64 (expm1.f64 x) (*.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) 2)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) 2) 1) (/.f64 (cbrt.f64 (expm1.f64 x)) x))
(/.f64 (expm1.f64 x) x)
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) 2) (sqrt.f64 x)) (/.f64 (cbrt.f64 (expm1.f64 x)) (sqrt.f64 x)))
(/.f64 (expm1.f64 x) x)
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) 2) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 (/.f64 (expm1.f64 x) x)))
(*.f64 (cbrt.f64 (/.f64 (expm1.f64 x) x)) (/.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) 2) (pow.f64 (cbrt.f64 x) 2)))
(pow.f64 (/.f64 (expm1.f64 x) x) 1)
(/.f64 (expm1.f64 x) x)
(pow.f64 (sqrt.f64 (/.f64 (expm1.f64 x) x)) 2)
(/.f64 (expm1.f64 x) x)
(pow.f64 (cbrt.f64 (/.f64 (expm1.f64 x) x)) 3)
(/.f64 (expm1.f64 x) x)
(pow.f64 (pow.f64 (/.f64 (expm1.f64 x) x) 3) 1/3)
(/.f64 (expm1.f64 x) x)
(pow.f64 (/.f64 x (expm1.f64 x)) -1)
(/.f64 (expm1.f64 x) x)
(neg.f64 (/.f64 (expm1.f64 x) (neg.f64 x)))
(/.f64 (expm1.f64 x) x)
(sqrt.f64 (pow.f64 (/.f64 (expm1.f64 x) x) 2))
(/.f64 (expm1.f64 x) x)
(log.f64 (exp.f64 (/.f64 (expm1.f64 x) x)))
(/.f64 (expm1.f64 x) x)
(cbrt.f64 (pow.f64 (/.f64 (expm1.f64 x) x) 3))
(/.f64 (expm1.f64 x) x)
(expm1.f64 (log1p.f64 (/.f64 (expm1.f64 x) x)))
(/.f64 (expm1.f64 x) x)
(exp.f64 (log.f64 (/.f64 (expm1.f64 x) x)))
(/.f64 (expm1.f64 x) x)
(log1p.f64 (expm1.f64 (/.f64 (expm1.f64 x) x)))
(/.f64 (expm1.f64 x) x)

eval8.0ms (0.3%)

Compiler: Compiled 449 to 217 computations (51.7% saved)

prune8.0ms (0.3%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	45	3	48
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	45	4	49

Error

Counts

49 → 4

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.77%	(pow.f64 (cbrt.f64 (/.f64 (expm1.f64 x) x)) 3)
✓	0.02%	(/.f64 (expm1.f64 x) x)
▶	35.38%	(+.f64 (*.f64 1/2 x) 1)
	34.5%	1

Compiler

Compiled 21 to 16 computations (23.8% saved)

localize5.0ms (0.2%)

Compiler: Compiled 12 to 9 computations (25% saved)

localize11.0ms (0.4%)

Local error

Found 3 expressions with local error:

New	Error	Program
	0.02%	(/.f64 (expm1.f64 x) x)
✓	0.33%	(cbrt.f64 (/.f64 (expm1.f64 x) x))
✓	0.43%	(pow.f64 (cbrt.f64 (/.f64 (expm1.f64 x) x)) 3)

Compiler

Compiled 21 to 7 computations (66.7% saved)

series4.0ms (0.1%)

Counts

2 → 8

Calls

6 calls:

Time	Variable		Point	Expression
1.0ms	x	@	-inf	(pow.f64 (cbrt.f64 (/.f64 (expm1.f64 x) x)) 3)
1.0ms	x	@	inf	(pow.f64 (cbrt.f64 (/.f64 (expm1.f64 x) x)) 3)
1.0ms	x	@	inf	(cbrt.f64 (/.f64 (expm1.f64 x) x))
0.0ms	x	@	0	(pow.f64 (cbrt.f64 (/.f64 (expm1.f64 x) x)) 3)
0.0ms	x	@	-inf	(cbrt.f64 (/.f64 (expm1.f64 x) x))

rewrite70.0ms (2.6%)

Algorithm

1×	batch-egg-rewrite

Rules

1628×	`add-sqr-sqrt`
1596×	`*-un-lft-identity`
1510×	`add-cube-cbrt`
1492×	`add-cbrt-cube`
156×	`add-exp-log`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	26
1	188	26
2	2091	26

Stop Event

1×	node limit

Counts

2 → 77

Calls

Call 1

Inputs
(pow.f64 (cbrt.f64 (/.f64 (expm1.f64 x) x)) 3)
(cbrt.f64 (/.f64 (expm1.f64 x) x))

Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (expm1.f64 x) x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (exp.f64 x) x) (/.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (expm1.f64 x) (/.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (/.f64 (expm1.f64 x) x)) (pow.f64 (cbrt.f64 (/.f64 (expm1.f64 x) x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (expm1.f64 x) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (/.f64 (expm1.f64 x) x))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (expm1.f64 x)) (.f64 (sqrt.f64 (expm1.f64 x)) (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (/.f64 (expm1.f64 x) x)) (sqrt.f64 (/.f64 (expm1.f64 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (/.f64 (expm1.f64 x) x) 1/6) (.f64 (pow.f64 (/.f64 (expm1.f64 x) x) 1/6) (pow.f64 (cbrt.f64 (/.f64 (expm1.f64 x) x)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) 2) (.f64 (cbrt.f64 (expm1.f64 x)) (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (/.f64 (expm1.f64 x) x)) 2) (cbrt.f64 (/.f64 (expm1.f64 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 (expm1.f64 x) x))) 2) (.f64 (cbrt.f64 (cbrt.f64 (/.f64 (expm1.f64 x) x))) (pow.f64 (cbrt.f64 (/.f64 (expm1.f64 x) x)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 x) (expm1.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (neg.f64 (expm1.f64 x)) (/.f64 1 (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (pow.f64 (cbrt.f64 (/.f64 (expm1.f64 x) x)) 2) 1) (cbrt.f64 (/.f64 (expm1.f64 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (pow.f64 (cbrt.f64 (/.f64 (expm1.f64 x) x)) 2) (pow.f64 (/.f64 (expm1.f64 x) x) 1/6)) (pow.f64 (/.f64 (expm1.f64 x) x) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (pow.f64 (cbrt.f64 (/.f64 (expm1.f64 x) x)) 2) (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 (expm1.f64 x) x))) 2)) (cbrt.f64 (cbrt.f64 (/.f64 (expm1.f64 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (sqrt.f64 x)) (/.f64 (expm1.f64 x) (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (cbrt.f64 (.f64 x x))) (/.f64 (expm1.f64 x) (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (sqrt.f64 (expm1.f64 x)) 1) (/.f64 (sqrt.f64 (expm1.f64 x)) x))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (sqrt.f64 (expm1.f64 x)) (cbrt.f64 (.f64 x x))) (/.f64 (sqrt.f64 (expm1.f64 x)) (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) 2) 1) (/.f64 (cbrt.f64 (expm1.f64 x)) x))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) 2) (sqrt.f64 x)) (/.f64 (cbrt.f64 (expm1.f64 x)) (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (pow.f64 (/.f64 (expm1.f64 x) x) 1/6) 3) (pow.f64 (pow.f64 (/.f64 (expm1.f64 x) x) 1/6) 3))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 (expm1.f64 x) x))) 2) 3) (cbrt.f64 (/.f64 (expm1.f64 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (expm1.f64 x) x)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 x (expm1.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (/.f64 x (expm1.f64 x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (expm1.f64 x)) (/.f64 x (sqrt.f64 (expm1.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) 2) (/.f64 x (cbrt.f64 (expm1.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (expm1.f64 x)) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (pow.f64 (cbrt.f64 (/.f64 (expm1.f64 x) x)) 2) (cbrt.f64 (expm1.f64 x))) (cbrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (cbrt.f64 (expm1.f64 x)) (pow.f64 (cbrt.f64 (/.f64 (expm1.f64 x) x)) 2)) (cbrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (expm1.f64 x) 1) x)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (expm1.f64 x) (sqrt.f64 x)) (sqrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (expm1.f64 x) (cbrt.f64 (.f64 x x))) (cbrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1 (neg.f64 (/.f64 x (expm1.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (neg.f64 (expm1.f64 x))) (neg.f64 (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (expm1.f64 x) (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (expm1.f64 x) x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (expm1.f64 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (expm1.f64 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (expm1.f64 x) x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (expm1.f64 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (expm1.f64 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (/.f64 (expm1.f64 x) x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (expm1.f64 x) x)))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (cbrt.f64 (/.f64 (expm1.f64 x) x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (/.f64 (expm1.f64 x) x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (cbrt.f64 (/.f64 (expm1.f64 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (/.f64 (expm1.f64 x) x) 1/6) (pow.f64 (/.f64 (expm1.f64 x) x) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (expm1.f64 x)) (cbrt.f64 (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (expm1.f64 x)) (/.f64 1 (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (expm1.f64 x)) (pow.f64 (/.f64 1 x) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (cbrt.f64 (/.f64 (expm1.f64 x) x))) (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 (expm1.f64 x) x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (cbrt.f64 (/.f64 (expm1.f64 x) x))) (pow.f64 (pow.f64 (cbrt.f64 (/.f64 (expm1.f64 x) x)) 2) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 (expm1.f64 x) x))) 2) (cbrt.f64 (cbrt.f64 (/.f64 (expm1.f64 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 (expm1.f64 x) x)) 2) 1/3) (cbrt.f64 (cbrt.f64 (/.f64 (expm1.f64 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 1 1/3) (cbrt.f64 (/.f64 (expm1.f64 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (sqrt.f64 (/.f64 (expm1.f64 x) x)) 1/3) (pow.f64 (sqrt.f64 (/.f64 (expm1.f64 x) x)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (cbrt.f64 (/.f64 x (expm1.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (cbrt.f64 x) (cbrt.f64 (expm1.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cbrt.f64 (expm1.f64 x)) (cbrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cbrt.f64 (neg.f64 (expm1.f64 x))) (cbrt.f64 (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (cbrt.f64 (expm1.f64 x))) (neg.f64 (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (expm1.f64 x) x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (expm1.f64 x) x) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (expm1.f64 x) x) 1/6) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 (expm1.f64 x) x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 (expm1.f64 x) x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (cbrt.f64 (/.f64 (expm1.f64 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 (/.f64 (expm1.f64 x) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (cbrt.f64 (/.f64 (expm1.f64 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (cbrt.f64 (/.f64 (expm1.f64 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (cbrt.f64 (/.f64 (expm1.f64 x) x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (/.f64 (expm1.f64 x) x)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (cbrt.f64 (/.f64 (expm1.f64 x) x))))))))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (expm1.f64 x) x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (exp.f64 x) x) (/.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (expm1.f64 x) (/.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (expm1.f64 x) x)) (pow.f64 (cbrt.f64 (/.f64 (expm1.f64 x) x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (expm1.f64 x) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (expm1.f64 x) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (expm1.f64 x)) (*.f64 (sqrt.f64 (expm1.f64 x)) (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (expm1.f64 x) x)) (sqrt.f64 (/.f64 (expm1.f64 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 (expm1.f64 x) x) 1/6) (*.f64 (pow.f64 (/.f64 (expm1.f64 x) x) 1/6) (pow.f64 (cbrt.f64 (/.f64 (expm1.f64 x) x)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) 2) (*.f64 (cbrt.f64 (expm1.f64 x)) (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (expm1.f64 x) x)) 2) (cbrt.f64 (/.f64 (expm1.f64 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 (expm1.f64 x) x))) 2) (*.f64 (cbrt.f64 (cbrt.f64 (/.f64 (expm1.f64 x) x))) (pow.f64 (cbrt.f64 (/.f64 (expm1.f64 x) x)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 x) (expm1.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (expm1.f64 x)) (/.f64 1 (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (cbrt.f64 (/.f64 (expm1.f64 x) x)) 2) 1) (cbrt.f64 (/.f64 (expm1.f64 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (cbrt.f64 (/.f64 (expm1.f64 x) x)) 2) (pow.f64 (/.f64 (expm1.f64 x) x) 1/6)) (pow.f64 (/.f64 (expm1.f64 x) x) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 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3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (expm1.f64 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (expm1.f64 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (expm1.f64 x) x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (expm1.f64 x) x)))))))

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (cbrt.f64 (/.f64 (expm1.f64 x) x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (expm1.f64 x) x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (cbrt.f64 (/.f64 (expm1.f64 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 (expm1.f64 x) x) 1/6) (pow.f64 (/.f64 (expm1.f64 x) x) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (expm1.f64 x)) (cbrt.f64 (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (expm1.f64 x)) (/.f64 1 (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (expm1.f64 x)) (pow.f64 (/.f64 1 x) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (/.f64 (expm1.f64 x) x))) (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 (expm1.f64 x) x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (/.f64 (expm1.f64 x) x))) (pow.f64 (pow.f64 (cbrt.f64 (/.f64 (expm1.f64 x) x)) 2) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 (expm1.f64 x) x))) 2) (cbrt.f64 (cbrt.f64 (/.f64 (expm1.f64 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 (expm1.f64 x) x)) 2) 1/3) (cbrt.f64 (cbrt.f64 (/.f64 (expm1.f64 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/3) (cbrt.f64 (/.f64 (expm1.f64 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (/.f64 (expm1.f64 x) x)) 1/3) (pow.f64 (sqrt.f64 (/.f64 (expm1.f64 x) x)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (cbrt.f64 (/.f64 x (expm1.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (cbrt.f64 x) (cbrt.f64 (expm1.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cbrt.f64 (expm1.f64 x)) (cbrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cbrt.f64 (neg.f64 (expm1.f64 x))) (cbrt.f64 (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (cbrt.f64 (expm1.f64 x))) (neg.f64 (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (expm1.f64 x) x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (expm1.f64 x) x) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (expm1.f64 x) x) 1/6) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 (expm1.f64 x) x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 (expm1.f64 x) x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (cbrt.f64 (/.f64 (expm1.f64 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 (/.f64 (expm1.f64 x) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (cbrt.f64 (/.f64 (expm1.f64 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (cbrt.f64 (/.f64 (expm1.f64 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (/.f64 (expm1.f64 x) x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (expm1.f64 x) x)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (cbrt.f64 (/.f64 (expm1.f64 x) x))))))))

simplify56.0ms (2.1%)

Algorithm

1×	egg-herbie

Rules

1026×	`unswap-sqr`
960×	`times-frac`
870×	`associate-/l*`
806×	`associate-/r*`
684×	`associate-*r/`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	193	1387
1	424	1337
2	1499	1331

Stop Event

1×	node limit

Counts

85 → 106

Calls

Call 1

Inputs
1
(+.f64 (*.f64 1/2 x) 1)
(+.f64 (.f64 1/2 x) (+.f64 (.f64 1/6 (pow.f64 x 2)) 1))
(+.f64 (.f64 1/2 x) (+.f64 (.f64 1/6 (pow.f64 x 2)) (+.f64 1 (*.f64 1/24 (pow.f64 x 3)))))
1
(+.f64 1 (*.f64 1/6 x))
(+.f64 1 (+.f64 (.f64 1/6 x) (.f64 1/36 (pow.f64 x 2))))
(+.f64 1 (+.f64 (.f64 1/6 x) (+.f64 (.f64 1/324 (pow.f64 x 3)) (*.f64 1/36 (pow.f64 x 2)))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (expm1.f64 x) x))) 1)
(-.f64 (/.f64 (exp.f64 x) x) (/.f64 1 x))
(*.f64 (expm1.f64 x) (/.f64 1 x))
(*.f64 (cbrt.f64 (/.f64 (expm1.f64 x) x)) (pow.f64 (cbrt.f64 (/.f64 (expm1.f64 x) x)) 2))
(*.f64 (/.f64 (expm1.f64 x) x) 1)
(*.f64 1 (/.f64 (expm1.f64 x) x))
(.f64 (sqrt.f64 (expm1.f64 x)) (.f64 (sqrt.f64 (expm1.f64 x)) (/.f64 1 x)))
(*.f64 (sqrt.f64 (/.f64 (expm1.f64 x) x)) (sqrt.f64 (/.f64 (expm1.f64 x) x)))
(.f64 (pow.f64 (/.f64 (expm1.f64 x) x) 1/6) (.f64 (pow.f64 (/.f64 (expm1.f64 x) x) 1/6) (pow.f64 (cbrt.f64 (/.f64 (expm1.f64 x) x)) 2)))
(.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) 2) (.f64 (cbrt.f64 (expm1.f64 x)) (/.f64 1 x)))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (expm1.f64 x) x)) 2) (cbrt.f64 (/.f64 (expm1.f64 x) x)))
(.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 (expm1.f64 x) x))) 2) (.f64 (cbrt.f64 (cbrt.f64 (/.f64 (expm1.f64 x) x))) (pow.f64 (cbrt.f64 (/.f64 (expm1.f64 x) x)) 2)))
(*.f64 (/.f64 1 x) (expm1.f64 x))
(*.f64 (neg.f64 (expm1.f64 x)) (/.f64 1 (neg.f64 x)))
(.f64 (.f64 (pow.f64 (cbrt.f64 (/.f64 (expm1.f64 x) x)) 2) 1) (cbrt.f64 (/.f64 (expm1.f64 x) x)))
(.f64 (.f64 (pow.f64 (cbrt.f64 (/.f64 (expm1.f64 x) x)) 2) (pow.f64 (/.f64 (expm1.f64 x) x) 1/6)) (pow.f64 (/.f64 (expm1.f64 x) x) 1/6))
(.f64 (.f64 (pow.f64 (cbrt.f64 (/.f64 (expm1.f64 x) x)) 2) (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 (expm1.f64 x) x))) 2)) (cbrt.f64 (cbrt.f64 (/.f64 (expm1.f64 x) x))))
(*.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 (expm1.f64 x) (sqrt.f64 x)))
(.f64 (/.f64 1 (cbrt.f64 (.f64 x x))) (/.f64 (expm1.f64 x) (cbrt.f64 x)))
(*.f64 (/.f64 (sqrt.f64 (expm1.f64 x)) 1) (/.f64 (sqrt.f64 (expm1.f64 x)) x))
(.f64 (/.f64 (sqrt.f64 (expm1.f64 x)) (cbrt.f64 (.f64 x x))) (/.f64 (sqrt.f64 (expm1.f64 x)) (cbrt.f64 x)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) 2) 1) (/.f64 (cbrt.f64 (expm1.f64 x)) x))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) 2) (sqrt.f64 x)) (/.f64 (cbrt.f64 (expm1.f64 x)) (sqrt.f64 x)))
(*.f64 (pow.f64 (pow.f64 (/.f64 (expm1.f64 x) x) 1/6) 3) (pow.f64 (pow.f64 (/.f64 (expm1.f64 x) x) 1/6) 3))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 (expm1.f64 x) x))) 2) 3) (cbrt.f64 (/.f64 (expm1.f64 x) x)))
(/.f64 (expm1.f64 x) x)
(/.f64 1 (/.f64 x (expm1.f64 x)))
(/.f64 1 (/.f64 (/.f64 x (expm1.f64 x)) 1))
(/.f64 (sqrt.f64 (expm1.f64 x)) (/.f64 x (sqrt.f64 (expm1.f64 x))))
(/.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) 2) (/.f64 x (cbrt.f64 (expm1.f64 x))))
(/.f64 (neg.f64 (expm1.f64 x)) (neg.f64 x))
(/.f64 (*.f64 (pow.f64 (cbrt.f64 (/.f64 (expm1.f64 x) x)) 2) (cbrt.f64 (expm1.f64 x))) (cbrt.f64 x))
(/.f64 (*.f64 (cbrt.f64 (expm1.f64 x)) (pow.f64 (cbrt.f64 (/.f64 (expm1.f64 x) x)) 2)) (cbrt.f64 x))
(/.f64 (/.f64 (expm1.f64 x) 1) x)
(/.f64 (/.f64 (expm1.f64 x) (sqrt.f64 x)) (sqrt.f64 x))
(/.f64 (/.f64 (expm1.f64 x) (cbrt.f64 (*.f64 x x))) (cbrt.f64 x))
(/.f64 -1 (neg.f64 (/.f64 x (expm1.f64 x))))
(/.f64 (neg.f64 (neg.f64 (expm1.f64 x))) (neg.f64 (neg.f64 x)))
(neg.f64 (/.f64 (expm1.f64 x) (neg.f64 x)))
(sqrt.f64 (pow.f64 (/.f64 (expm1.f64 x) x) 2))
(log.f64 (exp.f64 (/.f64 (expm1.f64 x) x)))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (expm1.f64 x) x))))
(cbrt.f64 (pow.f64 (/.f64 (expm1.f64 x) x) 3))
(expm1.f64 (log1p.f64 (/.f64 (expm1.f64 x) x)))
(exp.f64 (log.f64 (/.f64 (expm1.f64 x) x)))
(exp.f64 (*.f64 (log.f64 (/.f64 (expm1.f64 x) x)) 1))
(log1p.f64 (expm1.f64 (/.f64 (expm1.f64 x) x)))
(-.f64 (exp.f64 (log1p.f64 (cbrt.f64 (/.f64 (expm1.f64 x) x)))) 1)
(*.f64 (cbrt.f64 (/.f64 (expm1.f64 x) x)) 1)
(*.f64 1 (cbrt.f64 (/.f64 (expm1.f64 x) x)))
(*.f64 (pow.f64 (/.f64 (expm1.f64 x) x) 1/6) (pow.f64 (/.f64 (expm1.f64 x) x) 1/6))
(*.f64 (cbrt.f64 (expm1.f64 x)) (cbrt.f64 (/.f64 1 x)))
(*.f64 (cbrt.f64 (expm1.f64 x)) (/.f64 1 (cbrt.f64 x)))
(*.f64 (cbrt.f64 (expm1.f64 x)) (pow.f64 (/.f64 1 x) 1/3))
(*.f64 (cbrt.f64 (cbrt.f64 (/.f64 (expm1.f64 x) x))) (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 (expm1.f64 x) x))) 2))
(*.f64 (cbrt.f64 (cbrt.f64 (/.f64 (expm1.f64 x) x))) (pow.f64 (pow.f64 (cbrt.f64 (/.f64 (expm1.f64 x) x)) 2) 1/3))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 (expm1.f64 x) x))) 2) (cbrt.f64 (cbrt.f64 (/.f64 (expm1.f64 x) x))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 (expm1.f64 x) x)) 2) 1/3) (cbrt.f64 (cbrt.f64 (/.f64 (expm1.f64 x) x))))
(*.f64 (pow.f64 1 1/3) (cbrt.f64 (/.f64 (expm1.f64 x) x)))
(*.f64 (pow.f64 (sqrt.f64 (/.f64 (expm1.f64 x) x)) 1/3) (pow.f64 (sqrt.f64 (/.f64 (expm1.f64 x) x)) 1/3))
(/.f64 1 (cbrt.f64 (/.f64 x (expm1.f64 x))))
(/.f64 1 (/.f64 (cbrt.f64 x) (cbrt.f64 (expm1.f64 x))))
(/.f64 (cbrt.f64 (expm1.f64 x)) (cbrt.f64 x))
(/.f64 (cbrt.f64 (neg.f64 (expm1.f64 x))) (cbrt.f64 (neg.f64 x)))
(/.f64 (neg.f64 (cbrt.f64 (expm1.f64 x))) (neg.f64 (cbrt.f64 x)))
(pow.f64 (cbrt.f64 (/.f64 (expm1.f64 x) x)) 1)
(pow.f64 (/.f64 (expm1.f64 x) x) 1/3)
(pow.f64 (pow.f64 (/.f64 (expm1.f64 x) x) 1/6) 2)
(pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 (expm1.f64 x) x))) 3)
(sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 (expm1.f64 x) x)) 2))
(log.f64 (exp.f64 (cbrt.f64 (/.f64 (expm1.f64 x) x))))
(log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 (/.f64 (expm1.f64 x) x)))))
(expm1.f64 (log1p.f64 (cbrt.f64 (/.f64 (expm1.f64 x) x))))
(exp.f64 (log.f64 (cbrt.f64 (/.f64 (expm1.f64 x) x))))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (/.f64 (expm1.f64 x) x))) 1))
(exp.f64 (*.f64 (log.f64 (/.f64 (expm1.f64 x) x)) 1/3))
(log1p.f64 (expm1.f64 (cbrt.f64 (/.f64 (expm1.f64 x) x))))

Outputs
1
(+.f64 (*.f64 1/2 x) 1)
(fma.f64 1/2 x 1)
(+.f64 (.f64 1/2 x) (+.f64 (.f64 1/6 (pow.f64 x 2)) 1))
(fma.f64 1/2 x (fma.f64 1/6 (*.f64 x x) 1))
(fma.f64 1/2 x (fma.f64 x (*.f64 x 1/6) 1))
(+.f64 (.f64 1/2 x) (+.f64 (.f64 1/6 (pow.f64 x 2)) (+.f64 1 (*.f64 1/24 (pow.f64 x 3)))))
(fma.f64 1/2 x (+.f64 (fma.f64 1/6 (.f64 x x) 1) (.f64 1/24 (pow.f64 x 3))))
(fma.f64 1/2 x (fma.f64 1/6 (*.f64 x x) (fma.f64 1/24 (pow.f64 x 3) 1)))
(fma.f64 1/2 x (fma.f64 x (*.f64 x 1/6) (fma.f64 1/24 (pow.f64 x 3) 1)))
1
(+.f64 1 (*.f64 1/6 x))
(+.f64 1 (*.f64 x 1/6))
(fma.f64 x 1/6 1)
(+.f64 1 (+.f64 (.f64 1/6 x) (.f64 1/36 (pow.f64 x 2))))
(+.f64 1 (fma.f64 1/6 x (.f64 (.f64 x x) 1/36)))
(+.f64 (fma.f64 x 1/6 1) (.f64 (.f64 x x) 1/36))
(fma.f64 x 1/6 (fma.f64 x (*.f64 x 1/36) 1))
(+.f64 1 (+.f64 (.f64 1/6 x) (+.f64 (.f64 1/324 (pow.f64 x 3)) (*.f64 1/36 (pow.f64 x 2)))))
(+.f64 1 (fma.f64 1/6 x (fma.f64 1/324 (pow.f64 x 3) (.f64 (.f64 x x) 1/36))))
(+.f64 (fma.f64 x 1/6 1) (fma.f64 (pow.f64 x 3) 1/324 (.f64 (.f64 x x) 1/36)))
(+.f64 1 (fma.f64 (pow.f64 x 3) 1/324 (.f64 x (+.f64 1/6 (.f64 x 1/36)))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (expm1.f64 x) x))) 1)
(/.f64 (expm1.f64 x) x)
(-.f64 (/.f64 (exp.f64 x) x) (/.f64 1 x))
(+.f64 (/.f64 (exp.f64 x) x) (/.f64 -1 x))
(*.f64 (expm1.f64 x) (/.f64 1 x))
(/.f64 (expm1.f64 x) x)
(*.f64 (cbrt.f64 (/.f64 (expm1.f64 x) x)) (pow.f64 (cbrt.f64 (/.f64 (expm1.f64 x) x)) 2))
(/.f64 (expm1.f64 x) x)
(*.f64 (/.f64 (expm1.f64 x) x) 1)
(/.f64 (expm1.f64 x) x)
(*.f64 1 (/.f64 (expm1.f64 x) x))
(/.f64 (expm1.f64 x) x)
(.f64 (sqrt.f64 (expm1.f64 x)) (.f64 (sqrt.f64 (expm1.f64 x)) (/.f64 1 x)))
(/.f64 (expm1.f64 x) x)
(*.f64 (sqrt.f64 (/.f64 (expm1.f64 x) x)) (sqrt.f64 (/.f64 (expm1.f64 x) x)))
(/.f64 (expm1.f64 x) x)
(.f64 (pow.f64 (/.f64 (expm1.f64 x) x) 1/6) (.f64 (pow.f64 (/.f64 (expm1.f64 x) x) 1/6) (pow.f64 (cbrt.f64 (/.f64 (expm1.f64 x) x)) 2)))
(/.f64 (expm1.f64 x) x)
(.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) 2) (.f64 (cbrt.f64 (expm1.f64 x)) (/.f64 1 x)))
(/.f64 (expm1.f64 x) x)
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (expm1.f64 x) x)) 2) (cbrt.f64 (/.f64 (expm1.f64 x) x)))
(/.f64 (expm1.f64 x) x)
(.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 (expm1.f64 x) x))) 2) (.f64 (cbrt.f64 (cbrt.f64 (/.f64 (expm1.f64 x) x))) (pow.f64 (cbrt.f64 (/.f64 (expm1.f64 x) x)) 2)))
(/.f64 (expm1.f64 x) x)
(*.f64 (/.f64 1 x) (expm1.f64 x))
(/.f64 (expm1.f64 x) x)
(*.f64 (neg.f64 (expm1.f64 x)) (/.f64 1 (neg.f64 x)))
(/.f64 (expm1.f64 x) x)
(.f64 (.f64 (pow.f64 (cbrt.f64 (/.f64 (expm1.f64 x) x)) 2) 1) (cbrt.f64 (/.f64 (expm1.f64 x) x)))
(/.f64 (expm1.f64 x) x)
(.f64 (.f64 (pow.f64 (cbrt.f64 (/.f64 (expm1.f64 x) x)) 2) (pow.f64 (/.f64 (expm1.f64 x) x) 1/6)) (pow.f64 (/.f64 (expm1.f64 x) x) 1/6))
(/.f64 (expm1.f64 x) x)
(.f64 (.f64 (pow.f64 (cbrt.f64 (/.f64 (expm1.f64 x) x)) 2) (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 (expm1.f64 x) x))) 2)) (cbrt.f64 (cbrt.f64 (/.f64 (expm1.f64 x) x))))
(/.f64 (expm1.f64 x) x)
(*.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 (expm1.f64 x) (sqrt.f64 x)))
(/.f64 (expm1.f64 x) x)
(.f64 (/.f64 1 (cbrt.f64 (.f64 x x))) (/.f64 (expm1.f64 x) (cbrt.f64 x)))
(/.f64 (expm1.f64 x) (.f64 (cbrt.f64 (.f64 x x)) (cbrt.f64 x)))
(/.f64 (/.f64 (expm1.f64 x) (cbrt.f64 x)) (cbrt.f64 (*.f64 x x)))
(*.f64 (/.f64 (sqrt.f64 (expm1.f64 x)) 1) (/.f64 (sqrt.f64 (expm1.f64 x)) x))
(/.f64 (expm1.f64 x) x)
(.f64 (/.f64 (sqrt.f64 (expm1.f64 x)) (cbrt.f64 (.f64 x x))) (/.f64 (sqrt.f64 (expm1.f64 x)) (cbrt.f64 x)))
(.f64 (/.f64 1 (cbrt.f64 (.f64 x x))) (/.f64 (expm1.f64 x) (cbrt.f64 x)))
(/.f64 (expm1.f64 x) (.f64 (cbrt.f64 (.f64 x x)) (cbrt.f64 x)))
(/.f64 (/.f64 (expm1.f64 x) (cbrt.f64 x)) (cbrt.f64 (*.f64 x x)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) 2) 1) (/.f64 (cbrt.f64 (expm1.f64 x)) x))
(/.f64 (expm1.f64 x) x)
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) 2) (sqrt.f64 x)) (/.f64 (cbrt.f64 (expm1.f64 x)) (sqrt.f64 x)))
(/.f64 (expm1.f64 x) x)
(*.f64 (pow.f64 (pow.f64 (/.f64 (expm1.f64 x) x) 1/6) 3) (pow.f64 (pow.f64 (/.f64 (expm1.f64 x) x) 1/6) 3))
(/.f64 (expm1.f64 x) x)
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 (expm1.f64 x) x))) 2) 3) (cbrt.f64 (/.f64 (expm1.f64 x) x)))
(/.f64 (expm1.f64 x) x)
(/.f64 (expm1.f64 x) x)
(/.f64 1 (/.f64 x (expm1.f64 x)))
(/.f64 (expm1.f64 x) x)
(/.f64 1 (/.f64 (/.f64 x (expm1.f64 x)) 1))
(/.f64 (expm1.f64 x) x)
(/.f64 (sqrt.f64 (expm1.f64 x)) (/.f64 x (sqrt.f64 (expm1.f64 x))))
(/.f64 (expm1.f64 x) x)
(/.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) 2) (/.f64 x (cbrt.f64 (expm1.f64 x))))
(/.f64 (expm1.f64 x) x)
(/.f64 (neg.f64 (expm1.f64 x)) (neg.f64 x))
(/.f64 (expm1.f64 x) x)
(/.f64 (*.f64 (pow.f64 (cbrt.f64 (/.f64 (expm1.f64 x) x)) 2) (cbrt.f64 (expm1.f64 x))) (cbrt.f64 x))
(/.f64 (pow.f64 (cbrt.f64 (/.f64 (expm1.f64 x) x)) 2) (/.f64 (cbrt.f64 x) (cbrt.f64 (expm1.f64 x))))
(*.f64 (/.f64 (cbrt.f64 (expm1.f64 x)) (cbrt.f64 x)) (pow.f64 (cbrt.f64 (/.f64 (expm1.f64 x) x)) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (expm1.f64 x) x)) 2) (/.f64 (cbrt.f64 (expm1.f64 x)) (cbrt.f64 x)))
(/.f64 (*.f64 (cbrt.f64 (expm1.f64 x)) (pow.f64 (cbrt.f64 (/.f64 (expm1.f64 x) x)) 2)) (cbrt.f64 x))
(/.f64 (pow.f64 (cbrt.f64 (/.f64 (expm1.f64 x) x)) 2) (/.f64 (cbrt.f64 x) (cbrt.f64 (expm1.f64 x))))
(*.f64 (/.f64 (cbrt.f64 (expm1.f64 x)) (cbrt.f64 x)) (pow.f64 (cbrt.f64 (/.f64 (expm1.f64 x) x)) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (expm1.f64 x) x)) 2) (/.f64 (cbrt.f64 (expm1.f64 x)) (cbrt.f64 x)))
(/.f64 (/.f64 (expm1.f64 x) 1) x)
(/.f64 (expm1.f64 x) x)
(/.f64 (/.f64 (expm1.f64 x) (sqrt.f64 x)) (sqrt.f64 x))
(/.f64 (expm1.f64 x) x)
(/.f64 (/.f64 (expm1.f64 x) (cbrt.f64 (*.f64 x x))) (cbrt.f64 x))
(.f64 (/.f64 1 (cbrt.f64 (.f64 x x))) (/.f64 (expm1.f64 x) (cbrt.f64 x)))
(/.f64 (expm1.f64 x) (.f64 (cbrt.f64 (.f64 x x)) (cbrt.f64 x)))
(/.f64 (/.f64 (expm1.f64 x) (cbrt.f64 x)) (cbrt.f64 (*.f64 x x)))
(/.f64 -1 (neg.f64 (/.f64 x (expm1.f64 x))))
(/.f64 (expm1.f64 x) x)
(/.f64 (neg.f64 (neg.f64 (expm1.f64 x))) (neg.f64 (neg.f64 x)))
(/.f64 (expm1.f64 x) x)
(neg.f64 (/.f64 (expm1.f64 x) (neg.f64 x)))
(/.f64 (expm1.f64 x) x)
(sqrt.f64 (pow.f64 (/.f64 (expm1.f64 x) x) 2))
(/.f64 (expm1.f64 x) x)
(log.f64 (exp.f64 (/.f64 (expm1.f64 x) x)))
(/.f64 (expm1.f64 x) x)
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (expm1.f64 x) x))))
(/.f64 (expm1.f64 x) x)
(cbrt.f64 (pow.f64 (/.f64 (expm1.f64 x) x) 3))
(/.f64 (expm1.f64 x) x)
(expm1.f64 (log1p.f64 (/.f64 (expm1.f64 x) x)))
(/.f64 (expm1.f64 x) x)
(exp.f64 (log.f64 (/.f64 (expm1.f64 x) x)))
(/.f64 (expm1.f64 x) x)
(exp.f64 (*.f64 (log.f64 (/.f64 (expm1.f64 x) x)) 1))
(/.f64 (expm1.f64 x) x)
(log1p.f64 (expm1.f64 (/.f64 (expm1.f64 x) x)))
(/.f64 (expm1.f64 x) x)
(-.f64 (exp.f64 (log1p.f64 (cbrt.f64 (/.f64 (expm1.f64 x) x)))) 1)
(cbrt.f64 (/.f64 (expm1.f64 x) x))
(*.f64 (cbrt.f64 (/.f64 (expm1.f64 x) x)) 1)
(cbrt.f64 (/.f64 (expm1.f64 x) x))
(*.f64 1 (cbrt.f64 (/.f64 (expm1.f64 x) x)))
(cbrt.f64 (/.f64 (expm1.f64 x) x))
(*.f64 (pow.f64 (/.f64 (expm1.f64 x) x) 1/6) (pow.f64 (/.f64 (expm1.f64 x) x) 1/6))
(cbrt.f64 (/.f64 (expm1.f64 x) x))
(*.f64 (cbrt.f64 (expm1.f64 x)) (cbrt.f64 (/.f64 1 x)))
(*.f64 (cbrt.f64 (expm1.f64 x)) (/.f64 1 (cbrt.f64 x)))
(/.f64 1 (/.f64 (cbrt.f64 x) (cbrt.f64 (expm1.f64 x))))
(/.f64 (cbrt.f64 (expm1.f64 x)) (cbrt.f64 x))
(*.f64 (cbrt.f64 (expm1.f64 x)) (pow.f64 (/.f64 1 x) 1/3))
(*.f64 (cbrt.f64 (expm1.f64 x)) (cbrt.f64 (/.f64 1 x)))
(*.f64 (cbrt.f64 (cbrt.f64 (/.f64 (expm1.f64 x) x))) (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 (expm1.f64 x) x))) 2))
(cbrt.f64 (/.f64 (expm1.f64 x) x))
(*.f64 (cbrt.f64 (cbrt.f64 (/.f64 (expm1.f64 x) x))) (pow.f64 (pow.f64 (cbrt.f64 (/.f64 (expm1.f64 x) x)) 2) 1/3))
(cbrt.f64 (/.f64 (expm1.f64 x) x))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 (expm1.f64 x) x))) 2) (cbrt.f64 (cbrt.f64 (/.f64 (expm1.f64 x) x))))
(cbrt.f64 (/.f64 (expm1.f64 x) x))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 (expm1.f64 x) x)) 2) 1/3) (cbrt.f64 (cbrt.f64 (/.f64 (expm1.f64 x) x))))
(cbrt.f64 (/.f64 (expm1.f64 x) x))
(*.f64 (pow.f64 1 1/3) (cbrt.f64 (/.f64 (expm1.f64 x) x)))
(cbrt.f64 (/.f64 (expm1.f64 x) x))
(*.f64 (pow.f64 (sqrt.f64 (/.f64 (expm1.f64 x) x)) 1/3) (pow.f64 (sqrt.f64 (/.f64 (expm1.f64 x) x)) 1/3))
(*.f64 (cbrt.f64 (sqrt.f64 (/.f64 (expm1.f64 x) x))) (cbrt.f64 (sqrt.f64 (/.f64 (expm1.f64 x) x))))
(/.f64 1 (cbrt.f64 (/.f64 x (expm1.f64 x))))
(/.f64 1 (/.f64 (cbrt.f64 x) (cbrt.f64 (expm1.f64 x))))
(/.f64 (cbrt.f64 (expm1.f64 x)) (cbrt.f64 x))
(/.f64 (cbrt.f64 (expm1.f64 x)) (cbrt.f64 x))
(/.f64 1 (/.f64 (cbrt.f64 x) (cbrt.f64 (expm1.f64 x))))
(/.f64 (cbrt.f64 (neg.f64 (expm1.f64 x))) (cbrt.f64 (neg.f64 x)))
(/.f64 (neg.f64 (cbrt.f64 (expm1.f64 x))) (neg.f64 (cbrt.f64 x)))
(/.f64 1 (/.f64 (cbrt.f64 x) (cbrt.f64 (expm1.f64 x))))
(/.f64 (cbrt.f64 (expm1.f64 x)) (cbrt.f64 x))
(pow.f64 (cbrt.f64 (/.f64 (expm1.f64 x) x)) 1)
(cbrt.f64 (/.f64 (expm1.f64 x) x))
(pow.f64 (/.f64 (expm1.f64 x) x) 1/3)
(cbrt.f64 (/.f64 (expm1.f64 x) x))
(pow.f64 (pow.f64 (/.f64 (expm1.f64 x) x) 1/6) 2)
(cbrt.f64 (/.f64 (expm1.f64 x) x))
(pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 (expm1.f64 x) x))) 3)
(cbrt.f64 (/.f64 (expm1.f64 x) x))
(sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 (expm1.f64 x) x)) 2))
(cbrt.f64 (/.f64 (expm1.f64 x) x))
(log.f64 (exp.f64 (cbrt.f64 (/.f64 (expm1.f64 x) x))))
(cbrt.f64 (/.f64 (expm1.f64 x) x))
(log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 (/.f64 (expm1.f64 x) x)))))
(cbrt.f64 (/.f64 (expm1.f64 x) x))
(expm1.f64 (log1p.f64 (cbrt.f64 (/.f64 (expm1.f64 x) x))))
(cbrt.f64 (/.f64 (expm1.f64 x) x))
(exp.f64 (log.f64 (cbrt.f64 (/.f64 (expm1.f64 x) x))))
(cbrt.f64 (/.f64 (expm1.f64 x) x))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (/.f64 (expm1.f64 x) x))) 1))
(cbrt.f64 (/.f64 (expm1.f64 x) x))
(exp.f64 (*.f64 (log.f64 (/.f64 (expm1.f64 x) x)) 1/3))
(cbrt.f64 (/.f64 (expm1.f64 x) x))
(log1p.f64 (expm1.f64 (cbrt.f64 (/.f64 (expm1.f64 x) x))))
(cbrt.f64 (/.f64 (expm1.f64 x) x))

eval39.0ms (1.5%)

Compiler: Compiled 1748 to 858 computations (50.9% saved)

prune21.0ms (0.8%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	153	1	154
Fresh	0	1	1
Picked	1	0	1
Done	0	2	2
Total	154	4	158

Error

Counts

158 → 4

Alt Table

Click to see full alt table

Status	Error	Program
▶	35.81%	(pow.f64 (+.f64 1 (*.f64 x 1/6)) 3)
✓	0.02%	(/.f64 (expm1.f64 x) x)
✓	35.38%	(+.f64 (*.f64 1/2 x) 1)
	34.5%	1

Compiler

Compiled 21 to 17 computations (19% saved)

localize27.0ms (1%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.01%	(+.f64 1 (*.f64 x 1/6))
✓	0.16%	(pow.f64 (+.f64 1 (*.f64 x 1/6)) 3)
✓	0.49%	(*.f64 x 1/6)

Compiler

Compiled 20 to 16 computations (20% saved)

series2.0ms (0.1%)

Counts

3 → 36

Calls

9 calls:

Time	Variable		Point	Expression
0.0ms	x	@	inf	(*.f64 x 1/6)
0.0ms	x	@	-inf	(*.f64 x 1/6)
0.0ms	x	@	0	(*.f64 x 1/6)
0.0ms	x	@	inf	(+.f64 1 (*.f64 x 1/6))
0.0ms	x	@	inf	(pow.f64 (+.f64 1 (*.f64 x 1/6)) 3)

rewrite67.0ms (2.5%)

Algorithm

1×	batch-egg-rewrite

Rules

1706×	`add-sqr-sqrt`
1670×	`*-un-lft-identity`
1582×	`add-cube-cbrt`
1572×	`add-cbrt-cube`
168×	`add-exp-log`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	9	39
1	191	31
2	2159	31

Stop Event

1×	node limit

Counts

3 → 78

Calls

Call 1

Inputs
(*.f64 x 1/6)
(pow.f64 (+.f64 1 (*.f64 x 1/6)) 3)
(+.f64 1 (*.f64 x 1/6))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (fma.f64 x 1/6 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x 1/6) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 x 1/6)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 x 1/6)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 x 3) 1/216) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (*.f64 x x) 1/36))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 x) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 x 1/6))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 x 3) 1/216))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 x 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 x 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 x 1/6)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 x 1/6)))))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (pow.f64 (fma.f64 x 1/6 1) 2) (*.f64 (*.f64 x 1/6) (pow.f64 (fma.f64 x 1/6 1) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (pow.f64 (fma.f64 x 1/6 1) 2) 1) (*.f64 (pow.f64 (fma.f64 x 1/6 1) 2) (*.f64 x 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (pow.f64 (fma.f64 x 1/6 1) 2) (*.f64 x 1/6)) (*.f64 (pow.f64 (fma.f64 x 1/6 1) 2) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 x 1/6) (pow.f64 (fma.f64 x 1/6 1) 2)) (pow.f64 (fma.f64 x 1/6 1) 2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (pow.f64 (fma.f64 x 1/6 1) 3))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (pow.f64 (fma.f64 x 1/6 1) 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 x 1/6 1) (pow.f64 (fma.f64 x 1/6 1) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (fma.f64 x 1/6 1) 3) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (fma.f64 x 1/6 1) 3/2) (pow.f64 (fma.f64 x 1/6 1) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 x 1/6 1)) (*.f64 (sqrt.f64 (fma.f64 x 1/6 1)) (pow.f64 (fma.f64 x 1/6 1) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 x 1/6 1)) 2) (*.f64 (cbrt.f64 (fma.f64 x 1/6 1)) (pow.f64 (fma.f64 x 1/6 1) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (fma.f64 x 1/6 1) 2) (fma.f64 x 1/6 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (fma.f64 x 1/6 1) 2) 1) (fma.f64 x 1/6 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (fma.f64 x 1/6 1) 2) (sqrt.f64 (fma.f64 x 1/6 1))) (sqrt.f64 (fma.f64 x 1/6 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (fma.f64 x 1/6 1) 2) (pow.f64 (cbrt.f64 (fma.f64 x 1/6 1)) 2)) (cbrt.f64 (fma.f64 x 1/6 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (fma.f64 x 1/6 1)) 3) (pow.f64 (sqrt.f64 (fma.f64 x 1/6 1)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (fma.f64 x 1/6 1)) 2) 3) (fma.f64 x 1/6 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (pow.f64 (fma.f64 x 1/6 1) 2) (-.f64 1 (*.f64 (*.f64 x x) 1/36))) (+.f64 1 (*.f64 -1/6 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (pow.f64 (fma.f64 x 1/6 1) 2) (+.f64 1 (*.f64 (pow.f64 x 3) 1/216))) (+.f64 1 (+.f64 (*.f64 (*.f64 x x) 1/36) (*.f64 -1/6 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1 (*.f64 (*.f64 x x) 1/36)) (pow.f64 (fma.f64 x 1/6 1) 2)) (+.f64 1 (*.f64 -1/6 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 1 (*.f64 (pow.f64 x 3) 1/216)) (pow.f64 (fma.f64 x 1/6 1) 2)) (+.f64 1 (+.f64 (*.f64 (*.f64 x x) 1/36) (*.f64 -1/6 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (-.f64 1 (*.f64 (*.f64 x x) 1/36)) 3) (pow.f64 (+.f64 1 (*.f64 -1/6 x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (+.f64 1 (*.f64 (pow.f64 x 3) 1/216)) 3) (pow.f64 (+.f64 1 (+.f64 (*.f64 (*.f64 x x) 1/36) (*.f64 -1/6 x))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 x 1/6 1) 6))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 (fma.f64 x 1/6 1) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (pow.f64 (fma.f64 x 1/6 1) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (pow.f64 (fma.f64 x 1/6 1) 3) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (fma.f64 x 1/6 1) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 3 (log1p.f64 (*.f64 x 1/6))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (log1p.f64 (*.f64 x 1/6))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (fma.f64 x 1/6 1) 3)))))))

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 x 1/6 1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 1 (+.f64 1 (*.f64 -1/6 x))) (/.f64 (*.f64 (*.f64 x x) 1/36) (+.f64 1 (*.f64 -1/6 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 x 1/6 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 x 1/6 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 x 1/6 1)) (sqrt.f64 (fma.f64 x 1/6 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 x 1/6 1)) (pow.f64 (cbrt.f64 (fma.f64 x 1/6 1)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 x 1/6 1)) 2) (cbrt.f64 (fma.f64 x 1/6 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 1 (*.f64 (*.f64 x x) 1/36)) (/.f64 1 (+.f64 1 (*.f64 -1/6 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 1 (*.f64 (pow.f64 x 3) 1/216)) (/.f64 1 (+.f64 1 (+.f64 (*.f64 (*.f64 x x) 1/36) (*.f64 -1/6 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 1 (*.f64 -1/6 x)) (-.f64 1 (*.f64 (*.f64 x x) 1/36))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 1 (+.f64 (*.f64 (*.f64 x x) 1/36) (*.f64 -1/6 x))) (+.f64 1 (*.f64 (pow.f64 x 3) 1/216))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (*.f64 (*.f64 x x) 1/36)) (+.f64 1 (*.f64 -1/6 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1 (*.f64 (pow.f64 x 3) 1/216)) (+.f64 1 (+.f64 (*.f64 (*.f64 x x) 1/36) (*.f64 -1/6 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1 (*.f64 (pow.f64 x 3) 1/216)) (+.f64 (*.f64 (*.f64 x x) 1/36) (+.f64 1 (*.f64 -1/6 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (*.f64 x x) 1/36) 1) (-.f64 (*.f64 x 1/6) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 1 (*.f64 (*.f64 x x) 1/36))) (neg.f64 (+.f64 1 (*.f64 -1/6 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 1 (*.f64 (pow.f64 x 3) 1/216))) (neg.f64 (+.f64 1 (+.f64 (*.f64 (*.f64 x x) 1/36) (*.f64 -1/6 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 x 1/6 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 x 1/6 1) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 x 1/6 1)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 x 1/6 1)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 x 1/6 1) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 x 1/6 1)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 x 1/6 1))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 x 1/6 1) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 x 1/6 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log1p.f64 (*.f64 x 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log1p.f64 (*.f64 x 1/6)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 x 1/6 1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x 1/6 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1/6 x 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 x 1/6) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 x 1/6)) (sqrt.f64 (*.f64 x 1/6)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 (*.f64 x x) 1/36)) (cbrt.f64 (*.f64 x 1/6)) 1)))))

simplify80.0ms (3%)

Algorithm

1×	egg-herbie

Rules

1138×	`distribute-lft-in`
1100×	`distribute-rgt-in`
950×	`associate-*r/`
714×	`fma-def`
570×	`associate-/r*`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	180	2118
1	417	1972
2	1686	1880
3	6729	1880

Stop Event

1×	node limit

Counts

114 → 127

Calls

Call 1

Inputs
(*.f64 1/6 x)
(*.f64 1/6 x)
(*.f64 1/6 x)
(*.f64 1/6 x)
(*.f64 1/6 x)
(*.f64 1/6 x)
(*.f64 1/6 x)
(*.f64 1/6 x)
(*.f64 1/6 x)
(*.f64 1/6 x)
(*.f64 1/6 x)
(*.f64 1/6 x)
1
(+.f64 (*.f64 1/2 x) 1)
(+.f64 (.f64 1/2 x) (+.f64 1 (.f64 1/12 (pow.f64 x 2))))
(+.f64 (.f64 1/2 x) (+.f64 (.f64 1/216 (pow.f64 x 3)) (+.f64 1 (*.f64 1/12 (pow.f64 x 2)))))
(*.f64 1/216 (pow.f64 x 3))
(+.f64 (.f64 1/216 (pow.f64 x 3)) (.f64 1/12 (pow.f64 x 2)))
(+.f64 (.f64 1/2 x) (+.f64 (.f64 1/216 (pow.f64 x 3)) (*.f64 1/12 (pow.f64 x 2))))
(+.f64 1 (+.f64 (.f64 1/2 x) (+.f64 (.f64 1/216 (pow.f64 x 3)) (*.f64 1/12 (pow.f64 x 2)))))
(*.f64 1/216 (pow.f64 x 3))
(+.f64 (.f64 1/216 (pow.f64 x 3)) (.f64 1/12 (pow.f64 x 2)))
(+.f64 (.f64 1/2 x) (+.f64 (.f64 1/216 (pow.f64 x 3)) (*.f64 1/12 (pow.f64 x 2))))
(+.f64 1 (+.f64 (.f64 1/2 x) (+.f64 (.f64 1/216 (pow.f64 x 3)) (*.f64 1/12 (pow.f64 x 2)))))
1
(+.f64 1 (*.f64 1/6 x))
(+.f64 1 (*.f64 1/6 x))
(+.f64 1 (*.f64 1/6 x))
(*.f64 1/6 x)
(+.f64 1 (*.f64 1/6 x))
(+.f64 1 (*.f64 1/6 x))
(+.f64 1 (*.f64 1/6 x))
(*.f64 1/6 x)
(+.f64 1 (*.f64 1/6 x))
(+.f64 1 (*.f64 1/6 x))
(+.f64 1 (*.f64 1/6 x))
(-.f64 (fma.f64 x 1/6 1) 1)
(pow.f64 (*.f64 x 1/6) 1)
(pow.f64 (sqrt.f64 (*.f64 x 1/6)) 2)
(pow.f64 (cbrt.f64 (*.f64 x 1/6)) 3)
(pow.f64 (*.f64 (pow.f64 x 3) 1/216) 1/3)
(sqrt.f64 (.f64 (.f64 x x) 1/36))
(log.f64 (pow.f64 (exp.f64 x) 1/6))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 x 1/6))))
(cbrt.f64 (*.f64 (pow.f64 x 3) 1/216))
(expm1.f64 (log1p.f64 (*.f64 x 1/6)))
(exp.f64 (log.f64 (*.f64 x 1/6)))
(exp.f64 (.f64 (log.f64 (.f64 x 1/6)) 1))
(log1p.f64 (expm1.f64 (*.f64 x 1/6)))
(+.f64 (pow.f64 (fma.f64 x 1/6 1) 2) (.f64 (.f64 x 1/6) (pow.f64 (fma.f64 x 1/6 1) 2)))
(+.f64 (.f64 (pow.f64 (fma.f64 x 1/6 1) 2) 1) (.f64 (pow.f64 (fma.f64 x 1/6 1) 2) (*.f64 x 1/6)))
(+.f64 (.f64 (pow.f64 (fma.f64 x 1/6 1) 2) (.f64 x 1/6)) (*.f64 (pow.f64 (fma.f64 x 1/6 1) 2) 1))
(+.f64 (.f64 (.f64 x 1/6) (pow.f64 (fma.f64 x 1/6 1) 2)) (pow.f64 (fma.f64 x 1/6 1) 2))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (fma.f64 x 1/6 1) 3))) 1)
(*.f64 1 (pow.f64 (fma.f64 x 1/6 1) 3))
(*.f64 (fma.f64 x 1/6 1) (pow.f64 (fma.f64 x 1/6 1) 2))
(*.f64 (pow.f64 (fma.f64 x 1/6 1) 3) 1)
(*.f64 (pow.f64 (fma.f64 x 1/6 1) 3/2) (pow.f64 (fma.f64 x 1/6 1) 3/2))
(.f64 (sqrt.f64 (fma.f64 x 1/6 1)) (.f64 (sqrt.f64 (fma.f64 x 1/6 1)) (pow.f64 (fma.f64 x 1/6 1) 2)))
(.f64 (pow.f64 (cbrt.f64 (fma.f64 x 1/6 1)) 2) (.f64 (cbrt.f64 (fma.f64 x 1/6 1)) (pow.f64 (fma.f64 x 1/6 1) 2)))
(*.f64 (pow.f64 (fma.f64 x 1/6 1) 2) (fma.f64 x 1/6 1))
(.f64 (.f64 (pow.f64 (fma.f64 x 1/6 1) 2) 1) (fma.f64 x 1/6 1))
(.f64 (.f64 (pow.f64 (fma.f64 x 1/6 1) 2) (sqrt.f64 (fma.f64 x 1/6 1))) (sqrt.f64 (fma.f64 x 1/6 1)))
(.f64 (.f64 (pow.f64 (fma.f64 x 1/6 1) 2) (pow.f64 (cbrt.f64 (fma.f64 x 1/6 1)) 2)) (cbrt.f64 (fma.f64 x 1/6 1)))
(*.f64 (pow.f64 (sqrt.f64 (fma.f64 x 1/6 1)) 3) (pow.f64 (sqrt.f64 (fma.f64 x 1/6 1)) 3))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (fma.f64 x 1/6 1)) 2) 3) (fma.f64 x 1/6 1))
(/.f64 (.f64 (pow.f64 (fma.f64 x 1/6 1) 2) (-.f64 1 (.f64 (.f64 x x) 1/36))) (+.f64 1 (.f64 -1/6 x)))
(/.f64 (.f64 (pow.f64 (fma.f64 x 1/6 1) 2) (+.f64 1 (.f64 (pow.f64 x 3) 1/216))) (+.f64 1 (+.f64 (.f64 (.f64 x x) 1/36) (*.f64 -1/6 x))))
(/.f64 (.f64 (-.f64 1 (.f64 (.f64 x x) 1/36)) (pow.f64 (fma.f64 x 1/6 1) 2)) (+.f64 1 (.f64 -1/6 x)))
(/.f64 (.f64 (+.f64 1 (.f64 (pow.f64 x 3) 1/216)) (pow.f64 (fma.f64 x 1/6 1) 2)) (+.f64 1 (+.f64 (.f64 (.f64 x x) 1/36) (*.f64 -1/6 x))))
(/.f64 (pow.f64 (-.f64 1 (.f64 (.f64 x x) 1/36)) 3) (pow.f64 (+.f64 1 (*.f64 -1/6 x)) 3))
(/.f64 (pow.f64 (+.f64 1 (.f64 (pow.f64 x 3) 1/216)) 3) (pow.f64 (+.f64 1 (+.f64 (.f64 (.f64 x x) 1/36) (.f64 -1/6 x))) 3))
(sqrt.f64 (pow.f64 (fma.f64 x 1/6 1) 6))
(log.f64 (exp.f64 (pow.f64 (fma.f64 x 1/6 1) 3)))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (fma.f64 x 1/6 1) 3))))
(cbrt.f64 (pow.f64 (pow.f64 (fma.f64 x 1/6 1) 3) 3))
(expm1.f64 (log1p.f64 (pow.f64 (fma.f64 x 1/6 1) 3)))
(exp.f64 (.f64 3 (log1p.f64 (.f64 x 1/6))))
(exp.f64 (.f64 (.f64 3 (log1p.f64 (*.f64 x 1/6))) 1))
(log1p.f64 (expm1.f64 (pow.f64 (fma.f64 x 1/6 1) 3)))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 x 1/6 1))) 1)
(-.f64 (/.f64 1 (+.f64 1 (.f64 -1/6 x))) (/.f64 (.f64 (.f64 x x) 1/36) (+.f64 1 (.f64 -1/6 x))))
(*.f64 1 (fma.f64 x 1/6 1))
(*.f64 (fma.f64 x 1/6 1) 1)
(*.f64 (sqrt.f64 (fma.f64 x 1/6 1)) (sqrt.f64 (fma.f64 x 1/6 1)))
(*.f64 (cbrt.f64 (fma.f64 x 1/6 1)) (pow.f64 (cbrt.f64 (fma.f64 x 1/6 1)) 2))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 x 1/6 1)) 2) (cbrt.f64 (fma.f64 x 1/6 1)))
(.f64 (-.f64 1 (.f64 (.f64 x x) 1/36)) (/.f64 1 (+.f64 1 (.f64 -1/6 x))))
(.f64 (+.f64 1 (.f64 (pow.f64 x 3) 1/216)) (/.f64 1 (+.f64 1 (+.f64 (.f64 (.f64 x x) 1/36) (*.f64 -1/6 x)))))
(/.f64 1 (/.f64 (+.f64 1 (.f64 -1/6 x)) (-.f64 1 (.f64 (*.f64 x x) 1/36))))
(/.f64 1 (/.f64 (+.f64 1 (+.f64 (.f64 (.f64 x x) 1/36) (.f64 -1/6 x))) (+.f64 1 (.f64 (pow.f64 x 3) 1/216))))
(/.f64 (-.f64 1 (.f64 (.f64 x x) 1/36)) (+.f64 1 (*.f64 -1/6 x)))
(/.f64 (+.f64 1 (.f64 (pow.f64 x 3) 1/216)) (+.f64 1 (+.f64 (.f64 (.f64 x x) 1/36) (.f64 -1/6 x))))
(/.f64 (+.f64 1 (.f64 (pow.f64 x 3) 1/216)) (+.f64 (.f64 (.f64 x x) 1/36) (+.f64 1 (.f64 -1/6 x))))
(/.f64 (-.f64 (.f64 (.f64 x x) 1/36) 1) (-.f64 (*.f64 x 1/6) 1))
(/.f64 (neg.f64 (-.f64 1 (.f64 (.f64 x x) 1/36))) (neg.f64 (+.f64 1 (*.f64 -1/6 x))))
(/.f64 (neg.f64 (+.f64 1 (.f64 (pow.f64 x 3) 1/216))) (neg.f64 (+.f64 1 (+.f64 (.f64 (.f64 x x) 1/36) (.f64 -1/6 x)))))
(pow.f64 (fma.f64 x 1/6 1) 1)
(pow.f64 (pow.f64 (fma.f64 x 1/6 1) 3) 1/3)
(pow.f64 (sqrt.f64 (fma.f64 x 1/6 1)) 2)
(pow.f64 (cbrt.f64 (fma.f64 x 1/6 1)) 3)
(sqrt.f64 (pow.f64 (fma.f64 x 1/6 1) 2))
(log.f64 (exp.f64 (fma.f64 x 1/6 1)))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 x 1/6 1))))
(cbrt.f64 (pow.f64 (fma.f64 x 1/6 1) 3))
(expm1.f64 (log1p.f64 (fma.f64 x 1/6 1)))
(exp.f64 (log1p.f64 (*.f64 x 1/6)))
(exp.f64 (.f64 (log1p.f64 (.f64 x 1/6)) 1))
(log1p.f64 (expm1.f64 (fma.f64 x 1/6 1)))
(fma.f64 x 1/6 1)
(fma.f64 1/6 x 1)
(fma.f64 1 (*.f64 x 1/6) 1)
(fma.f64 (sqrt.f64 (.f64 x 1/6)) (sqrt.f64 (.f64 x 1/6)) 1)
(fma.f64 (cbrt.f64 (.f64 (.f64 x x) 1/36)) (cbrt.f64 (*.f64 x 1/6)) 1)

Outputs
(*.f64 1/6 x)
(*.f64 1/6 x)
(*.f64 1/6 x)
(*.f64 1/6 x)
(*.f64 1/6 x)
(*.f64 1/6 x)
(*.f64 1/6 x)
(*.f64 1/6 x)
(*.f64 1/6 x)
(*.f64 1/6 x)
(*.f64 1/6 x)
(*.f64 1/6 x)
1
(+.f64 (*.f64 1/2 x) 1)
(fma.f64 1/2 x 1)
(fma.f64 x 1/2 1)
(+.f64 (.f64 1/2 x) (+.f64 1 (.f64 1/12 (pow.f64 x 2))))
(+.f64 (fma.f64 1/2 x 1) (.f64 1/12 (.f64 x x)))
(fma.f64 x 1/2 (fma.f64 1/12 (*.f64 x x) 1))
(fma.f64 x 1/2 (fma.f64 x (*.f64 x 1/12) 1))
(+.f64 (.f64 1/2 x) (+.f64 (.f64 1/216 (pow.f64 x 3)) (+.f64 1 (*.f64 1/12 (pow.f64 x 2)))))
(fma.f64 1/2 x (fma.f64 1/216 (pow.f64 x 3) (+.f64 1 (.f64 1/12 (.f64 x x)))))
(fma.f64 x 1/2 (fma.f64 1/216 (pow.f64 x 3) (fma.f64 1/12 (*.f64 x x) 1)))
(fma.f64 x 1/2 (fma.f64 x (*.f64 x 1/12) (fma.f64 1/216 (pow.f64 x 3) 1)))
(*.f64 1/216 (pow.f64 x 3))
(+.f64 (.f64 1/216 (pow.f64 x 3)) (.f64 1/12 (pow.f64 x 2)))
(fma.f64 1/216 (pow.f64 x 3) (.f64 1/12 (.f64 x x)))
(fma.f64 1/12 (.f64 x x) (.f64 1/216 (pow.f64 x 3)))
(.f64 (.f64 x x) (+.f64 1/12 (*.f64 x 1/216)))
(+.f64 (.f64 1/2 x) (+.f64 (.f64 1/216 (pow.f64 x 3)) (*.f64 1/12 (pow.f64 x 2))))
(fma.f64 1/2 x (fma.f64 1/216 (pow.f64 x 3) (.f64 1/12 (.f64 x x))))
(fma.f64 x 1/2 (fma.f64 1/12 (.f64 x x) (.f64 1/216 (pow.f64 x 3))))
(fma.f64 x 1/2 (.f64 (.f64 x x) (+.f64 1/12 (*.f64 x 1/216))))
(+.f64 1 (+.f64 (.f64 1/2 x) (+.f64 (.f64 1/216 (pow.f64 x 3)) (*.f64 1/12 (pow.f64 x 2)))))
(fma.f64 1/2 x (fma.f64 1/216 (pow.f64 x 3) (+.f64 1 (.f64 1/12 (.f64 x x)))))
(fma.f64 x 1/2 (fma.f64 1/216 (pow.f64 x 3) (fma.f64 1/12 (*.f64 x x) 1)))
(fma.f64 x 1/2 (fma.f64 x (*.f64 x 1/12) (fma.f64 1/216 (pow.f64 x 3) 1)))
(*.f64 1/216 (pow.f64 x 3))
(+.f64 (.f64 1/216 (pow.f64 x 3)) (.f64 1/12 (pow.f64 x 2)))
(fma.f64 1/216 (pow.f64 x 3) (.f64 1/12 (.f64 x x)))
(fma.f64 1/12 (.f64 x x) (.f64 1/216 (pow.f64 x 3)))
(.f64 (.f64 x x) (+.f64 1/12 (*.f64 x 1/216)))
(+.f64 (.f64 1/2 x) (+.f64 (.f64 1/216 (pow.f64 x 3)) (*.f64 1/12 (pow.f64 x 2))))
(fma.f64 1/2 x (fma.f64 1/216 (pow.f64 x 3) (.f64 1/12 (.f64 x x))))
(fma.f64 x 1/2 (fma.f64 1/12 (.f64 x x) (.f64 1/216 (pow.f64 x 3))))
(fma.f64 x 1/2 (.f64 (.f64 x x) (+.f64 1/12 (*.f64 x 1/216))))
(+.f64 1 (+.f64 (.f64 1/2 x) (+.f64 (.f64 1/216 (pow.f64 x 3)) (*.f64 1/12 (pow.f64 x 2)))))
(fma.f64 1/2 x (fma.f64 1/216 (pow.f64 x 3) (+.f64 1 (.f64 1/12 (.f64 x x)))))
(fma.f64 x 1/2 (fma.f64 1/216 (pow.f64 x 3) (fma.f64 1/12 (*.f64 x x) 1)))
(fma.f64 x 1/2 (fma.f64 x (*.f64 x 1/12) (fma.f64 1/216 (pow.f64 x 3) 1)))
1
(+.f64 1 (*.f64 1/6 x))
(fma.f64 1/6 x 1)
(+.f64 1 (*.f64 1/6 x))
(fma.f64 1/6 x 1)
(+.f64 1 (*.f64 1/6 x))
(fma.f64 1/6 x 1)
(*.f64 1/6 x)
(+.f64 1 (*.f64 1/6 x))
(fma.f64 1/6 x 1)
(+.f64 1 (*.f64 1/6 x))
(fma.f64 1/6 x 1)
(+.f64 1 (*.f64 1/6 x))
(fma.f64 1/6 x 1)
(*.f64 1/6 x)
(+.f64 1 (*.f64 1/6 x))
(fma.f64 1/6 x 1)
(+.f64 1 (*.f64 1/6 x))
(fma.f64 1/6 x 1)
(+.f64 1 (*.f64 1/6 x))
(fma.f64 1/6 x 1)
(-.f64 (fma.f64 x 1/6 1) 1)
(*.f64 1/6 x)
(pow.f64 (*.f64 x 1/6) 1)
(*.f64 1/6 x)
(pow.f64 (sqrt.f64 (*.f64 x 1/6)) 2)
(*.f64 1/6 x)
(pow.f64 (cbrt.f64 (*.f64 x 1/6)) 3)
(*.f64 1/6 x)
(pow.f64 (*.f64 (pow.f64 x 3) 1/216) 1/3)
(cbrt.f64 (*.f64 1/216 (pow.f64 x 3)))
(sqrt.f64 (.f64 (.f64 x x) 1/36))
(sqrt.f64 (.f64 x (.f64 x 1/36)))
(log.f64 (pow.f64 (exp.f64 x) 1/6))
(*.f64 1/6 x)
(log.f64 (+.f64 1 (expm1.f64 (*.f64 x 1/6))))
(*.f64 1/6 x)
(cbrt.f64 (*.f64 (pow.f64 x 3) 1/216))
(cbrt.f64 (*.f64 1/216 (pow.f64 x 3)))
(expm1.f64 (log1p.f64 (*.f64 x 1/6)))
(*.f64 1/6 x)
(exp.f64 (log.f64 (*.f64 x 1/6)))
(*.f64 1/6 x)
(exp.f64 (.f64 (log.f64 (.f64 x 1/6)) 1))
(*.f64 1/6 x)
(log1p.f64 (expm1.f64 (*.f64 x 1/6)))
(*.f64 1/6 x)
(+.f64 (pow.f64 (fma.f64 x 1/6 1) 2) (.f64 (.f64 x 1/6) (pow.f64 (fma.f64 x 1/6 1) 2)))
(pow.f64 (fma.f64 1/6 x 1) 3)
(+.f64 (.f64 (pow.f64 (fma.f64 x 1/6 1) 2) 1) (.f64 (pow.f64 (fma.f64 x 1/6 1) 2) (*.f64 x 1/6)))
(pow.f64 (fma.f64 1/6 x 1) 3)
(+.f64 (.f64 (pow.f64 (fma.f64 x 1/6 1) 2) (.f64 x 1/6)) (*.f64 (pow.f64 (fma.f64 x 1/6 1) 2) 1))
(pow.f64 (fma.f64 1/6 x 1) 3)
(+.f64 (.f64 (.f64 x 1/6) (pow.f64 (fma.f64 x 1/6 1) 2)) (pow.f64 (fma.f64 x 1/6 1) 2))
(pow.f64 (fma.f64 1/6 x 1) 3)
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (fma.f64 x 1/6 1) 3))) 1)
(pow.f64 (fma.f64 1/6 x 1) 3)
(*.f64 1 (pow.f64 (fma.f64 x 1/6 1) 3))
(pow.f64 (fma.f64 1/6 x 1) 3)
(*.f64 (fma.f64 x 1/6 1) (pow.f64 (fma.f64 x 1/6 1) 2))
(pow.f64 (fma.f64 1/6 x 1) 3)
(*.f64 (pow.f64 (fma.f64 x 1/6 1) 3) 1)
(pow.f64 (fma.f64 1/6 x 1) 3)
(*.f64 (pow.f64 (fma.f64 x 1/6 1) 3/2) (pow.f64 (fma.f64 x 1/6 1) 3/2))
(pow.f64 (fma.f64 1/6 x 1) 3)
(.f64 (sqrt.f64 (fma.f64 x 1/6 1)) (.f64 (sqrt.f64 (fma.f64 x 1/6 1)) (pow.f64 (fma.f64 x 1/6 1) 2)))
(pow.f64 (fma.f64 1/6 x 1) 3)
(.f64 (pow.f64 (cbrt.f64 (fma.f64 x 1/6 1)) 2) (.f64 (cbrt.f64 (fma.f64 x 1/6 1)) (pow.f64 (fma.f64 x 1/6 1) 2)))
(pow.f64 (fma.f64 1/6 x 1) 3)
(*.f64 (pow.f64 (fma.f64 x 1/6 1) 2) (fma.f64 x 1/6 1))
(pow.f64 (fma.f64 1/6 x 1) 3)
(.f64 (.f64 (pow.f64 (fma.f64 x 1/6 1) 2) 1) (fma.f64 x 1/6 1))
(pow.f64 (fma.f64 1/6 x 1) 3)
(.f64 (.f64 (pow.f64 (fma.f64 x 1/6 1) 2) (sqrt.f64 (fma.f64 x 1/6 1))) (sqrt.f64 (fma.f64 x 1/6 1)))
(pow.f64 (fma.f64 1/6 x 1) 3)
(.f64 (.f64 (pow.f64 (fma.f64 x 1/6 1) 2) (pow.f64 (cbrt.f64 (fma.f64 x 1/6 1)) 2)) (cbrt.f64 (fma.f64 x 1/6 1)))
(pow.f64 (fma.f64 1/6 x 1) 3)
(*.f64 (pow.f64 (sqrt.f64 (fma.f64 x 1/6 1)) 3) (pow.f64 (sqrt.f64 (fma.f64 x 1/6 1)) 3))
(pow.f64 (fma.f64 1/6 x 1) 3)
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (fma.f64 x 1/6 1)) 2) 3) (fma.f64 x 1/6 1))
(pow.f64 (fma.f64 1/6 x 1) 3)
(/.f64 (.f64 (pow.f64 (fma.f64 x 1/6 1) 2) (-.f64 1 (.f64 (.f64 x x) 1/36))) (+.f64 1 (.f64 -1/6 x)))
(/.f64 (-.f64 1 (.f64 x (.f64 x 1/36))) (/.f64 (+.f64 1 (*.f64 x -1/6)) (pow.f64 (fma.f64 1/6 x 1) 2)))
(.f64 (/.f64 (+.f64 1 (.f64 (*.f64 x x) -1/36)) (fma.f64 x -1/6 1)) (pow.f64 (fma.f64 1/6 x 1) 2))
(/.f64 (pow.f64 (fma.f64 1/6 x 1) 2) (/.f64 (fma.f64 x -1/6 1) (fma.f64 x (*.f64 x -1/36) 1)))
(/.f64 (.f64 (pow.f64 (fma.f64 x 1/6 1) 2) (+.f64 1 (.f64 (pow.f64 x 3) 1/216))) (+.f64 1 (+.f64 (.f64 (.f64 x x) 1/36) (*.f64 -1/6 x))))
(/.f64 (pow.f64 (fma.f64 1/6 x 1) 2) (/.f64 (+.f64 1 (fma.f64 (.f64 x x) 1/36 (.f64 x -1/6))) (+.f64 1 (*.f64 1/216 (pow.f64 x 3)))))
(.f64 (/.f64 (fma.f64 1/216 (pow.f64 x 3) 1) (fma.f64 x (.f64 x 1/36) (fma.f64 x -1/6 1))) (pow.f64 (fma.f64 1/6 x 1) 2))
(*.f64 (pow.f64 (fma.f64 1/6 x 1) 2) (/.f64 (fma.f64 1/216 (pow.f64 x 3) 1) (fma.f64 x (fma.f64 x 1/36 -1/6) 1)))
(/.f64 (.f64 (-.f64 1 (.f64 (.f64 x x) 1/36)) (pow.f64 (fma.f64 x 1/6 1) 2)) (+.f64 1 (.f64 -1/6 x)))
(/.f64 (-.f64 1 (.f64 x (.f64 x 1/36))) (/.f64 (+.f64 1 (*.f64 x -1/6)) (pow.f64 (fma.f64 1/6 x 1) 2)))
(.f64 (/.f64 (+.f64 1 (.f64 (*.f64 x x) -1/36)) (fma.f64 x -1/6 1)) (pow.f64 (fma.f64 1/6 x 1) 2))
(/.f64 (pow.f64 (fma.f64 1/6 x 1) 2) (/.f64 (fma.f64 x -1/6 1) (fma.f64 x (*.f64 x -1/36) 1)))
(/.f64 (.f64 (+.f64 1 (.f64 (pow.f64 x 3) 1/216)) (pow.f64 (fma.f64 x 1/6 1) 2)) (+.f64 1 (+.f64 (.f64 (.f64 x x) 1/36) (*.f64 -1/6 x))))
(/.f64 (pow.f64 (fma.f64 1/6 x 1) 2) (/.f64 (+.f64 1 (fma.f64 (.f64 x x) 1/36 (.f64 x -1/6))) (+.f64 1 (*.f64 1/216 (pow.f64 x 3)))))
(.f64 (/.f64 (fma.f64 1/216 (pow.f64 x 3) 1) (fma.f64 x (.f64 x 1/36) (fma.f64 x -1/6 1))) (pow.f64 (fma.f64 1/6 x 1) 2))
(*.f64 (pow.f64 (fma.f64 1/6 x 1) 2) (/.f64 (fma.f64 1/216 (pow.f64 x 3) 1) (fma.f64 x (fma.f64 x 1/36 -1/6) 1)))
(/.f64 (pow.f64 (-.f64 1 (.f64 (.f64 x x) 1/36)) 3) (pow.f64 (+.f64 1 (*.f64 -1/6 x)) 3))
(/.f64 (pow.f64 (-.f64 1 (.f64 x (.f64 x 1/36))) 3) (pow.f64 (+.f64 1 (*.f64 x -1/6)) 3))
(/.f64 (pow.f64 (+.f64 1 (.f64 (.f64 x x) -1/36)) 3) (pow.f64 (fma.f64 x -1/6 1) 3))
(/.f64 (pow.f64 (fma.f64 x (*.f64 x -1/36) 1) 3) (pow.f64 (fma.f64 x -1/6 1) 3))
(/.f64 (pow.f64 (+.f64 1 (.f64 (pow.f64 x 3) 1/216)) 3) (pow.f64 (+.f64 1 (+.f64 (.f64 (.f64 x x) 1/36) (.f64 -1/6 x))) 3))
(/.f64 (pow.f64 (+.f64 1 (.f64 1/216 (pow.f64 x 3))) 3) (pow.f64 (+.f64 1 (fma.f64 (.f64 x x) 1/36 (*.f64 x -1/6))) 3))
(/.f64 (pow.f64 (fma.f64 1/216 (pow.f64 x 3) 1) 3) (pow.f64 (fma.f64 x (*.f64 x 1/36) (fma.f64 x -1/6 1)) 3))
(/.f64 (pow.f64 (fma.f64 1/216 (pow.f64 x 3) 1) 3) (pow.f64 (fma.f64 x (fma.f64 x 1/36 -1/6) 1) 3))
(sqrt.f64 (pow.f64 (fma.f64 x 1/6 1) 6))
(pow.f64 (fma.f64 1/6 x 1) 3)
(log.f64 (exp.f64 (pow.f64 (fma.f64 x 1/6 1) 3)))
(pow.f64 (fma.f64 1/6 x 1) 3)
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (fma.f64 x 1/6 1) 3))))
(pow.f64 (fma.f64 1/6 x 1) 3)
(cbrt.f64 (pow.f64 (pow.f64 (fma.f64 x 1/6 1) 3) 3))
(pow.f64 (fma.f64 1/6 x 1) 3)
(expm1.f64 (log1p.f64 (pow.f64 (fma.f64 x 1/6 1) 3)))
(pow.f64 (fma.f64 1/6 x 1) 3)
(exp.f64 (.f64 3 (log1p.f64 (.f64 x 1/6))))
(pow.f64 (exp.f64 3) (log1p.f64 (*.f64 1/6 x)))
(exp.f64 (.f64 (.f64 3 (log1p.f64 (*.f64 x 1/6))) 1))
(pow.f64 (exp.f64 3) (log1p.f64 (*.f64 1/6 x)))
(log1p.f64 (expm1.f64 (pow.f64 (fma.f64 x 1/6 1) 3)))
(pow.f64 (fma.f64 1/6 x 1) 3)
(-.f64 (exp.f64 (log1p.f64 (fma.f64 x 1/6 1))) 1)
(fma.f64 1/6 x 1)
(-.f64 (/.f64 1 (+.f64 1 (.f64 -1/6 x))) (/.f64 (.f64 (.f64 x x) 1/36) (+.f64 1 (.f64 -1/6 x))))
(/.f64 (-.f64 1 (.f64 x (.f64 x 1/36))) (+.f64 1 (*.f64 x -1/6)))
(/.f64 (+.f64 1 (.f64 (.f64 x x) -1/36)) (fma.f64 x -1/6 1))
(/.f64 (fma.f64 x (*.f64 x -1/36) 1) (fma.f64 x -1/6 1))
(*.f64 1 (fma.f64 x 1/6 1))
(fma.f64 1/6 x 1)
(*.f64 (fma.f64 x 1/6 1) 1)
(fma.f64 1/6 x 1)
(*.f64 (sqrt.f64 (fma.f64 x 1/6 1)) (sqrt.f64 (fma.f64 x 1/6 1)))
(fma.f64 1/6 x 1)
(*.f64 (cbrt.f64 (fma.f64 x 1/6 1)) (pow.f64 (cbrt.f64 (fma.f64 x 1/6 1)) 2))
(fma.f64 1/6 x 1)
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 x 1/6 1)) 2) (cbrt.f64 (fma.f64 x 1/6 1)))
(fma.f64 1/6 x 1)
(.f64 (-.f64 1 (.f64 (.f64 x x) 1/36)) (/.f64 1 (+.f64 1 (.f64 -1/6 x))))
(/.f64 (-.f64 1 (.f64 x (.f64 x 1/36))) (+.f64 1 (*.f64 x -1/6)))
(/.f64 (+.f64 1 (.f64 (.f64 x x) -1/36)) (fma.f64 x -1/6 1))
(/.f64 (fma.f64 x (*.f64 x -1/36) 1) (fma.f64 x -1/6 1))
(.f64 (+.f64 1 (.f64 (pow.f64 x 3) 1/216)) (/.f64 1 (+.f64 1 (+.f64 (.f64 (.f64 x x) 1/36) (*.f64 -1/6 x)))))
(/.f64 (.f64 (+.f64 1 (.f64 1/216 (pow.f64 x 3))) 1) (+.f64 1 (fma.f64 (.f64 x x) 1/36 (.f64 x -1/6))))
(/.f64 (fma.f64 1/216 (pow.f64 x 3) 1) (fma.f64 x (*.f64 x 1/36) (fma.f64 x -1/6 1)))
(/.f64 (fma.f64 1/216 (pow.f64 x 3) 1) (fma.f64 x (fma.f64 x 1/36 -1/6) 1))
(/.f64 1 (/.f64 (+.f64 1 (.f64 -1/6 x)) (-.f64 1 (.f64 (*.f64 x x) 1/36))))
(/.f64 (-.f64 1 (.f64 x (.f64 x 1/36))) (+.f64 1 (*.f64 x -1/6)))
(/.f64 (+.f64 1 (.f64 (.f64 x x) -1/36)) (fma.f64 x -1/6 1))
(/.f64 (fma.f64 x (*.f64 x -1/36) 1) (fma.f64 x -1/6 1))
(/.f64 1 (/.f64 (+.f64 1 (+.f64 (.f64 (.f64 x x) 1/36) (.f64 -1/6 x))) (+.f64 1 (.f64 (pow.f64 x 3) 1/216))))
(/.f64 (.f64 (+.f64 1 (.f64 1/216 (pow.f64 x 3))) 1) (+.f64 1 (fma.f64 (.f64 x x) 1/36 (.f64 x -1/6))))
(/.f64 (fma.f64 1/216 (pow.f64 x 3) 1) (fma.f64 x (*.f64 x 1/36) (fma.f64 x -1/6 1)))
(/.f64 (fma.f64 1/216 (pow.f64 x 3) 1) (fma.f64 x (fma.f64 x 1/36 -1/6) 1))
(/.f64 (-.f64 1 (.f64 (.f64 x x) 1/36)) (+.f64 1 (*.f64 -1/6 x)))
(/.f64 (-.f64 1 (.f64 x (.f64 x 1/36))) (+.f64 1 (*.f64 x -1/6)))
(/.f64 (+.f64 1 (.f64 (.f64 x x) -1/36)) (fma.f64 x -1/6 1))
(/.f64 (fma.f64 x (*.f64 x -1/36) 1) (fma.f64 x -1/6 1))
(/.f64 (+.f64 1 (.f64 (pow.f64 x 3) 1/216)) (+.f64 1 (+.f64 (.f64 (.f64 x x) 1/36) (.f64 -1/6 x))))
(/.f64 (.f64 (+.f64 1 (.f64 1/216 (pow.f64 x 3))) 1) (+.f64 1 (fma.f64 (.f64 x x) 1/36 (.f64 x -1/6))))
(/.f64 (fma.f64 1/216 (pow.f64 x 3) 1) (fma.f64 x (*.f64 x 1/36) (fma.f64 x -1/6 1)))
(/.f64 (fma.f64 1/216 (pow.f64 x 3) 1) (fma.f64 x (fma.f64 x 1/36 -1/6) 1))
(/.f64 (+.f64 1 (.f64 (pow.f64 x 3) 1/216)) (+.f64 (.f64 (.f64 x x) 1/36) (+.f64 1 (.f64 -1/6 x))))
(/.f64 (.f64 (+.f64 1 (.f64 1/216 (pow.f64 x 3))) 1) (+.f64 1 (fma.f64 (.f64 x x) 1/36 (.f64 x -1/6))))
(/.f64 (fma.f64 1/216 (pow.f64 x 3) 1) (fma.f64 x (*.f64 x 1/36) (fma.f64 x -1/6 1)))
(/.f64 (fma.f64 1/216 (pow.f64 x 3) 1) (fma.f64 x (fma.f64 x 1/36 -1/6) 1))
(/.f64 (-.f64 (.f64 (.f64 x x) 1/36) 1) (-.f64 (*.f64 x 1/6) 1))
(/.f64 (-.f64 1 (.f64 x (.f64 x 1/36))) (+.f64 1 (*.f64 x -1/6)))
(/.f64 (+.f64 1 (.f64 (.f64 x x) -1/36)) (fma.f64 x -1/6 1))
(/.f64 (fma.f64 x (*.f64 x -1/36) 1) (fma.f64 x -1/6 1))
(/.f64 (neg.f64 (-.f64 1 (.f64 (.f64 x x) 1/36))) (neg.f64 (+.f64 1 (*.f64 -1/6 x))))
(/.f64 (-.f64 1 (.f64 x (.f64 x 1/36))) (+.f64 1 (*.f64 x -1/6)))
(/.f64 (+.f64 1 (.f64 (.f64 x x) -1/36)) (fma.f64 x -1/6 1))
(/.f64 (fma.f64 x (*.f64 x -1/36) 1) (fma.f64 x -1/6 1))
(/.f64 (neg.f64 (+.f64 1 (.f64 (pow.f64 x 3) 1/216))) (neg.f64 (+.f64 1 (+.f64 (.f64 (.f64 x x) 1/36) (.f64 -1/6 x)))))
(/.f64 (.f64 (+.f64 1 (.f64 1/216 (pow.f64 x 3))) 1) (+.f64 1 (fma.f64 (.f64 x x) 1/36 (.f64 x -1/6))))
(/.f64 (fma.f64 1/216 (pow.f64 x 3) 1) (fma.f64 x (*.f64 x 1/36) (fma.f64 x -1/6 1)))
(/.f64 (fma.f64 1/216 (pow.f64 x 3) 1) (fma.f64 x (fma.f64 x 1/36 -1/6) 1))
(pow.f64 (fma.f64 x 1/6 1) 1)
(fma.f64 1/6 x 1)
(pow.f64 (pow.f64 (fma.f64 x 1/6 1) 3) 1/3)
(fma.f64 1/6 x 1)
(pow.f64 (sqrt.f64 (fma.f64 x 1/6 1)) 2)
(fma.f64 1/6 x 1)
(pow.f64 (cbrt.f64 (fma.f64 x 1/6 1)) 3)
(fma.f64 1/6 x 1)
(sqrt.f64 (pow.f64 (fma.f64 x 1/6 1) 2))
(fma.f64 1/6 x 1)
(log.f64 (exp.f64 (fma.f64 x 1/6 1)))
(fma.f64 1/6 x 1)
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 x 1/6 1))))
(fma.f64 1/6 x 1)
(cbrt.f64 (pow.f64 (fma.f64 x 1/6 1) 3))
(fma.f64 1/6 x 1)
(expm1.f64 (log1p.f64 (fma.f64 x 1/6 1)))
(fma.f64 1/6 x 1)
(exp.f64 (log1p.f64 (*.f64 x 1/6)))
(exp.f64 (log1p.f64 (*.f64 1/6 x)))
(exp.f64 (.f64 (log1p.f64 (.f64 x 1/6)) 1))
(exp.f64 (log1p.f64 (*.f64 1/6 x)))
(log1p.f64 (expm1.f64 (fma.f64 x 1/6 1)))
(fma.f64 1/6 x 1)
(fma.f64 x 1/6 1)
(fma.f64 1/6 x 1)
(fma.f64 1/6 x 1)
(fma.f64 1 (*.f64 x 1/6) 1)
(fma.f64 1/6 x 1)
(fma.f64 (sqrt.f64 (.f64 x 1/6)) (sqrt.f64 (.f64 x 1/6)) 1)
(fma.f64 1/6 x 1)
(fma.f64 (cbrt.f64 (.f64 (.f64 x x) 1/36)) (cbrt.f64 (*.f64 x 1/6)) 1)
(fma.f64 (cbrt.f64 (.f64 x (.f64 x 1/36))) (cbrt.f64 (*.f64 1/6 x)) 1)
(fma.f64 (cbrt.f64 (.f64 1/6 x)) (cbrt.f64 (.f64 (*.f64 x x) 1/36)) 1)

eval40.0ms (1.5%)

Compiler: Compiled 1652 to 1324 computations (19.9% saved)

prune19.0ms (0.7%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	127	0	127
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	127	4	131

Error

Counts

131 → 4

Alt Table

Click to see full alt table

Status	Error	Program
✓	35.81%	(pow.f64 (+.f64 1 (*.f64 x 1/6)) 3)
✓	0.02%	(/.f64 (expm1.f64 x) x)
✓	35.38%	(+.f64 (*.f64 1/2 x) 1)
	34.5%	1

Compiler

Compiled 21 to 17 computations (19% saved)

eval0.0ms (0%)

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

prune2.0ms (0.1%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Kept	Total
New	0	0
Fresh	1	1
Picked	0	0
Done	3	3
Total	4	4

Error

Counts

4 → 4

Alt Table

Click to see full alt table

Status	Error	Program
✓	35.81%	(pow.f64 (+.f64 1 (*.f64 x 1/6)) 3)
✓	0.02%	(/.f64 (expm1.f64 x) x)
✓	35.38%	(+.f64 (*.f64 1/2 x) 1)
	34.5%	1

Compiler

Compiled 21 to 17 computations (19% saved)

regimes11.0ms (0.4%)

Counts

6 → 1

Calls

Call 1

Inputs
1
(+.f64 (*.f64 1/2 x) 1)
(/.f64 (expm1.f64 x) x)
(/.f64 (-.f64 (exp.f64 x) 1) x)
(pow.f64 (+.f64 1 (*.f64 x 1/6)) 3)
(pow.f64 (cbrt.f64 (/.f64 (expm1.f64 x) x)) 3)

Outputs
(/.f64 (expm1.f64 x) x)

Calls

2 calls:

6.0ms	x
4.0ms	(/.f64 (-.f64 (exp.f64 x) 1) x)

Results

Error	Segments	Branch
0.02%	1	`x`
0.02%	1	`(/.f64 (-.f64 (exp.f64 x) 1) x)`

Compiler

Compiled 40 to 27 computations (32.5% saved)

regimes5.0ms (0.2%)

Accuracy

Total -0.9b remaining (-4.1%)

Threshold costs -0.9b (-4.1%)

Counts

2 → 1

Calls

Call 1

Inputs
1
(+.f64 (*.f64 1/2 x) 1)

Outputs
1

Calls

1 calls:

5.0ms

Results

Error	Segments	Branch
34.5%	1	`x`

Compiler

Compiled 9 to 7 computations (22.2% saved)

simplify6.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

2× 1-exp

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	12
1	9	12

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(/.f64 (expm1.f64 x) x)
1

Outputs
(/.f64 (expm1.f64 x) x)
1

Compiler

Compiled 7 to 5 computations (28.6% saved)

soundness45.0ms (1.7%)

Algorithm

1×	egg-herbie

Rules

186×	`fma-def`
78×	`associate-r`
78×	`associate--r+`
70×	`*-commutative`
66×	`associate-+l-`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	11
1	17	11
2	20	11
3	24	11
4	33	11
5	43	11
6	62	11
7	118	11
8	179	11
9	263	11
10	400	11
11	589	11
12	667	11
13	709	11

Stop Event

1×

saturated

Compiler

Compiled 11 to 7 computations (36.4% saved)

end16.0ms (0.6%)

Compiler: Compiled 6 to 4 computations (33.3% saved)

Iter	Nodes	Cost
0	8	11
1	17	11
2	20	11
3	24	11
4	33	11
5	43	11
6	62	11
7	118	11
8	179	11
9	263	11
10	400	11
11	589	11
12	667	11
13	709	11
0	1	1

Iter	Nodes	Cost
0	8	11
1	17	11
2	20	11
3	24	11
4	33	11
5	43	11
6	62	11
7	118	11
8	179	11
9	263	11
10	400	11
11	589	11
12	667	11
13	709	11

Iter	Nodes	Cost
0	8	11
1	17	11
2	20	11
3	24	11
4	33	11
5	43	11
6	62	11
7	118	11
8	179	11
9	263	11
10	400	11
11	589	11
12	667	11
13	709	11

Iter	Nodes	Cost
0	8	11
1	17	11
2	20	11
3	24	11
4	33	11
5	43	11
6	62	11
7	118	11
8	179	11
9	263	11
10	400	11
11	589	11
12	667	11
13	709	11
0	1	1

Iter	Nodes	Cost
0	8	11
1	17	11
2	20	11
3	24	11
4	33	11
5	43	11
6	62	11
7	118	11
8	179	11
9	263	11
10	400	11
11	589	11
12	667	11
13	709	11

Iter	Nodes	Cost
0	8	11
1	17	11
2	20	11
3	24	11
4	33	11
5	43	11
6	62	11
7	118	11
8	179	11
9	263	11
10	400	11
11	589	11
12	667	11
13	709	11

Details

analyze4.0ms (0.2%)

sample2.0s (73.3%)

preprocess28.0ms (1%)

simplify28.0ms (1%)

eval0.0ms (0%)

prune1.0ms (0%)

localize4.0ms (0.1%)

series1.0ms (0%)

rewrite55.0ms (2%)

simplify56.0ms (2.1%)

eval8.0ms (0.3%)

prune8.0ms (0.3%)

localize5.0ms (0.2%)

localize11.0ms (0.4%)

series4.0ms (0.1%)

rewrite70.0ms (2.6%)

simplify56.0ms (2.1%)

eval39.0ms (1.5%)

prune21.0ms (0.8%)

localize27.0ms (1%)

series2.0ms (0.1%)

rewrite67.0ms (2.5%)

simplify80.0ms (3%)

eval40.0ms (1.5%)

prune19.0ms (0.7%)

eval0.0ms (0%)

prune2.0ms (0.1%)

regimes11.0ms (0.4%)

regimes5.0ms (0.2%)

simplify6.0ms (0.2%)

soundness45.0ms (1.7%)

end16.0ms (0.6%)

Profiling

Iter	Nodes	Cost
0	8	11
1	17	11
2	20	11
3	24	11
4	33	11
5	43	11
6	62	11
7	118	11
8	179	11
9	263	11
10	400	11
11	589	11
12	667	11
13	709	11
0	1	1

Iter	Nodes	Cost
0	8	11
1	17	11
2	20	11
3	24	11
4	33	11
5	43	11
6	62	11
7	118	11
8	179	11
9	263	11
10	400	11
11	589	11
12	667	11
13	709	11

Iter	Nodes	Cost
0	8	11
1	17	11
2	20	11
3	24	11
4	33	11
5	43	11
6	62	11
7	118	11
8	179	11
9	263	11
10	400	11
11	589	11
12	667	11
13	709	11