Details

analyze4.0ms (0.1%)

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 (62.7%)

Results

1.0s	2662×	body	1024	valid
481.0ms	1428×	body	512	valid
383.0ms	3843×	body	256	valid
93.0ms	323×	body	2048	valid
1.0ms	9×	body	256	infinite

Bogosity

preprocess19.0ms (0.6%)

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 (0.9%)

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

0.01%

Counts

3 → 1

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.01%	(/.f64 (expm1.f64 x) x)

Compiler

Compiled 5 to 3 computations (40% saved)

localize18.0ms (0.6%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.01%	(/.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)

rewrite50.0ms (1.5%)

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)))))))

simplify50.0ms (1.5%)

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 (0.2%)

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

prune49.0ms (1.5%)

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
✓	0.01%	(/.f64 (expm1.f64 x) x)
▶	32.96%	(-.f64 (+.f64 1 (/.f64 (expm1.f64 x) x)) 1)
▶	36.32%	(+.f64 (*.f64 1/2 x) 1)
	35.84%	1

Compiler

Compiled 22 to 17 computations (22.7% saved)

localize5.0ms (0.2%)

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

localize8.0ms (0.2%)

Local error

Found 3 expressions with local error:

New	Error	Program
	0.01%	(/.f64 (expm1.f64 x) x)
✓	0.02%	(+.f64 1 (/.f64 (expm1.f64 x) x))
✓	3.87%	(-.f64 (+.f64 1 (/.f64 (expm1.f64 x) x)) 1)

Compiler

Compiled 23 to 10 computations (56.5% saved)

series1.0ms (0%)

Counts

2 → 24

Calls

6 calls:

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

rewrite113.0ms (3.5%)

Algorithm

1×	batch-egg-rewrite

Rules

1454×	`associate-*l/`
844×	`associate-/r*`
792×	`*-commutative`
638×	`associate-/l*`
610×	`distribute-lft-in`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	9	40
1	196	28
2	2749	28

Stop Event

1×	node limit

Counts

2 → 256

Calls

Call 1

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

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (+.f64 (/.f64 (expm1.f64 x) x) -1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (expm1.f64 x) x) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 1 (/.f64 (expm1.f64 x) x)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (expm1.f64 x) x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (/.f64 (expm1.f64 x) x) -1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (+.f64 1 (/.f64 (expm1.f64 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (/.f64 1 x) (exp.f64 x)) (.f64 (/.f64 1 x) -1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (exp.f64 x) (/.f64 1 x)) (.f64 -1 (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (/.f64 (expm1.f64 x) 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 (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 (cbrt.f64 (expm1.f64 x)) 2) (.f64 (cbrt.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 (cbrt.f64 (/.f64 (expm1.f64 x) x)) (/.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) 2) (pow.f64 (cbrt.f64 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 (+.f64 (pow.f64 (+.f64 1 (/.f64 (expm1.f64 x) x)) 2) -1) (/.f64 1 (+.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 (+.f64 -1 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(expm1.f64 x)) x) (/.f64 (sqrt.f64 (expm1.f64 x)) 1))))) (#(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 (sqrt.f64 (expm1.f64 x)) (cbrt.f64 x)) (/.f64 (sqrt.f64 (expm1.f64 x)) (pow.f64 (cbrt.f64 x) 2)))))) (#(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 (cbrt.f64 (expm1.f64 x)) x) (/.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) 2) 1))))) (#(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 (cbrt.f64 (expm1.f64 x)) (sqrt.f64 x)) (/.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) 2) (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (pow.f64 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(#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (+.f64 -1 (pow.f64 (+.f64 1 (/.f64 (expm1.f64 x) x)) 3)) (-.f64 (.f64 (pow.f64 (+.f64 1 (/.f64 (expm1.f64 x) x)) 2) (pow.f64 (+.f64 1 (/.f64 (expm1.f64 x) x)) 2)) (.f64 (+.f64 (/.f64 (expm1.f64 x) x) 2) (+.f64 (/.f64 (expm1.f64 x) x) 2)))) (-.f64 (.f64 (/.f64 (expm1.f64 x) x) (+.f64 1 (/.f64 (expm1.f64 x) x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (+.f64 -1 (pow.f64 (+.f64 1 (/.f64 (expm1.f64 x) x)) 3)) (+.f64 (pow.f64 (pow.f64 (+.f64 1 (/.f64 (expm1.f64 x) x)) 2) 3) (pow.f64 (+.f64 (/.f64 (expm1.f64 x) x) 2) 3))) (+.f64 (.f64 (pow.f64 (+.f64 1 (/.f64 (expm1.f64 x) x)) 2) (pow.f64 (+.f64 1 (/.f64 (expm1.f64 x) x)) 2)) (.f64 (+.f64 (/.f64 (expm1.f64 x) x) 2) (-.f64 (+.f64 (/.f64 (expm1.f64 x) x) 2) (pow.f64 (+.f64 1 (/.f64 (expm1.f64 x) x)) 2)))))))) (#(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 (+.f64 1 (pow.f64 (+.f64 1 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(2) ((x /.f64 (cbrt.f64 (expm1.f64 x)) (/.f64 (/.f64 x (sqrt.f64 (expm1.f64 x))) (cbrt.f64 (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 (pow.f64 (cbrt.f64 (expm1.f64 x)) 2) (/.f64 (neg.f64 x) (neg.f64 (cbrt.f64 (expm1.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (cbrt.f64 (/.f64 (expm1.f64 x) x)) 2) (cbrt.f64 (/.f64 x (expm1.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 (expm1.f64 x) x)) 2) -1) (+.f64 (/.f64 (expm1.f64 x) x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (/.f64 (expm1.f64 x) x) 2) (/.f64 (+.f64 (/.f64 (expm1.f64 x) x) 2) (/.f64 (expm1.f64 x) 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 -1 (/.f64 (neg.f64 x) (expm1.f64 x)))))) (#(struct:change 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Outputs

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

simplify158.0ms (4.9%)

Algorithm

1×	egg-herbie

Rules

938×	`associate-/l*`
670×	`distribute-lft-in`
652×	`associate-r`
572×	`*-commutative`
564×	`distribute-rgt-in`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	648	11344
1	1812	10942

Stop Event

1×	node limit

Counts

280 → 375

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)
2
(+.f64 (*.f64 1/2 x) 2)
(+.f64 (.f64 1/2 x) (+.f64 (.f64 1/6 (pow.f64 x 2)) 2))
(+.f64 (.f64 1/2 x) (+.f64 (.f64 1/6 (pow.f64 x 2)) (+.f64 2 (*.f64 1/24 (pow.f64 x 3)))))
1
(-.f64 (+.f64 (/.f64 (exp.f64 x) x) 1) (/.f64 1 x))
(-.f64 (+.f64 (/.f64 (exp.f64 x) x) 1) (/.f64 1 x))
(-.f64 (+.f64 (/.f64 (exp.f64 x) x) 1) (/.f64 1 x))
1
(-.f64 (+.f64 (/.f64 (exp.f64 x) x) 1) (/.f64 1 x))
(-.f64 (+.f64 (/.f64 (exp.f64 x) x) 1) (/.f64 1 x))
(-.f64 (+.f64 (/.f64 (exp.f64 x) x) 1) (/.f64 1 x))
(+.f64 1 (+.f64 (/.f64 (expm1.f64 x) x) -1))
(+.f64 (/.f64 (expm1.f64 x) x) 0)
(+.f64 (+.f64 1 (/.f64 (expm1.f64 x) x)) -1)
(+.f64 0 (/.f64 (expm1.f64 x) x))
(+.f64 (+.f64 (/.f64 (expm1.f64 x) x) -1) 1)
(+.f64 -1 (+.f64 1 (/.f64 (expm1.f64 x) x)))
(+.f64 (.f64 (/.f64 1 x) (exp.f64 x)) (.f64 (/.f64 1 x) -1))
(+.f64 (.f64 (exp.f64 x) (/.f64 1 x)) (.f64 -1 (/.f64 1 x)))
(*.f64 1 (/.f64 (expm1.f64 x) x))
(*.f64 (expm1.f64 x) (/.f64 1 x))
(*.f64 (/.f64 (expm1.f64 x) x) 1)
(.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 (cbrt.f64 (expm1.f64 x)) 2) (.f64 (cbrt.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 (cbrt.f64 (/.f64 (expm1.f64 x) x)) (/.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) 2) (pow.f64 (cbrt.f64 x) 2)))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (expm1.f64 x) x)) 2) (cbrt.f64 (/.f64 (expm1.f64 x) x)))
(*.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 (expm1.f64 x) x)) 2) -1) (/.f64 1 (+.f64 (/.f64 (expm1.f64 x) x) 2)))
(*.f64 (/.f64 1 x) (expm1.f64 x))
(*.f64 (+.f64 -1 (pow.f64 (+.f64 1 (/.f64 (expm1.f64 x) x)) 3)) (/.f64 1 (+.f64 (/.f64 (expm1.f64 x) x) (+.f64 2 (pow.f64 (+.f64 1 (/.f64 (expm1.f64 x) x)) 2)))))
(*.f64 (neg.f64 (expm1.f64 x)) (/.f64 -1 x))
(.f64 (.f64 (sqrt.f64 (expm1.f64 x)) (/.f64 1 x)) (sqrt.f64 (expm1.f64 x)))
(.f64 (.f64 (cbrt.f64 (expm1.f64 x)) (/.f64 1 x)) (pow.f64 (cbrt.f64 (expm1.f64 x)) 2))
(*.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 (expm1.f64 x) (sqrt.f64 x)) (/.f64 1 (sqrt.f64 x)))
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(/.f64 (.f64 (-.f64 1 (pow.f64 (pow.f64 (/.f64 (expm1.f64 x) x) 2) 3)) (/.f64 1 (-.f64 1 (/.f64 (expm1.f64 x) x)))) (+.f64 1 (.f64 (pow.f64 (/.f64 (expm1.f64 x) x) 2) (+.f64 1 (pow.f64 (/.f64 (expm1.f64 x) x) 2)))))
(/.f64 (.f64 (-.f64 1 (.f64 (pow.f64 (/.f64 (expm1.f64 x) x) 3) (pow.f64 (/.f64 (expm1.f64 x) x) 3))) (/.f64 1 (+.f64 1 (-.f64 (pow.f64 (/.f64 (expm1.f64 x) x) 2) (/.f64 (expm1.f64 x) x))))) (-.f64 1 (pow.f64 (/.f64 (expm1.f64 x) x) 3)))
(/.f64 (.f64 (+.f64 1 (pow.f64 (pow.f64 (/.f64 (expm1.f64 x) x) 3) 3)) (/.f64 1 (+.f64 1 (-.f64 (pow.f64 (/.f64 (expm1.f64 x) x) 2) (/.f64 (expm1.f64 x) x))))) (+.f64 1 (.f64 (pow.f64 (/.f64 (expm1.f64 x) x) 3) (-.f64 (pow.f64 (/.f64 (expm1.f64 x) x) 3) 1))))
(/.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 (expm1.f64 x) x) 2)) 1) (-.f64 1 (/.f64 (expm1.f64 x) x)))
(/.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 (expm1.f64 x) x) 2)) (sqrt.f64 (-.f64 1 (/.f64 (expm1.f64 x) x)))) (sqrt.f64 (-.f64 1 (/.f64 (expm1.f64 x) x))))
(/.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 (expm1.f64 x) x) 2)) (*.f64 (cbrt.f64 (-.f64 1 (/.f64 (expm1.f64 x) x))) (cbrt.f64 (-.f64 1 (/.f64 (expm1.f64 x) x))))) (cbrt.f64 (-.f64 1 (/.f64 (expm1.f64 x) x))))
(/.f64 (/.f64 (+.f64 1 (pow.f64 (/.f64 (expm1.f64 x) x) 3)) 1) (+.f64 1 (-.f64 (pow.f64 (/.f64 (expm1.f64 x) x) 2) (/.f64 (expm1.f64 x) x))))
(/.f64 (/.f64 (+.f64 1 (pow.f64 (/.f64 (expm1.f64 x) x) 3)) (sqrt.f64 (+.f64 1 (-.f64 (pow.f64 (/.f64 (expm1.f64 x) x) 2) (/.f64 (expm1.f64 x) x))))) (sqrt.f64 (+.f64 1 (-.f64 (pow.f64 (/.f64 (expm1.f64 x) x) 2) (/.f64 (expm1.f64 x) x)))))
(/.f64 (/.f64 (+.f64 1 (pow.f64 (/.f64 (expm1.f64 x) x) 3)) (*.f64 (cbrt.f64 (+.f64 1 (-.f64 (pow.f64 (/.f64 (expm1.f64 x) x) 2) (/.f64 (expm1.f64 x) x)))) (cbrt.f64 (+.f64 1 (-.f64 (pow.f64 (/.f64 (expm1.f64 x) x) 2) (/.f64 (expm1.f64 x) x)))))) (cbrt.f64 (+.f64 1 (-.f64 (pow.f64 (/.f64 (expm1.f64 x) x) 2) (/.f64 (expm1.f64 x) x)))))
(/.f64 (/.f64 (-.f64 (pow.f64 (/.f64 (expm1.f64 x) x) 2) 1) 1) (+.f64 (/.f64 (expm1.f64 x) x) -1))
(/.f64 (/.f64 (-.f64 (pow.f64 (/.f64 (expm1.f64 x) x) 2) 1) (sqrt.f64 (+.f64 (/.f64 (expm1.f64 x) x) -1))) (sqrt.f64 (+.f64 (/.f64 (expm1.f64 x) x) -1)))
(/.f64 (/.f64 (-.f64 (pow.f64 (/.f64 (expm1.f64 x) x) 2) 1) (*.f64 (cbrt.f64 (+.f64 (/.f64 (expm1.f64 x) x) -1)) (cbrt.f64 (+.f64 (/.f64 (expm1.f64 x) x) -1)))) (cbrt.f64 (+.f64 (/.f64 (expm1.f64 x) x) -1)))
(/.f64 (/.f64 (-.f64 (pow.f64 (/.f64 (expm1.f64 x) x) 2) 1) (+.f64 1 (sqrt.f64 (/.f64 (expm1.f64 x) x)))) (-.f64 (sqrt.f64 (/.f64 (expm1.f64 x) x)) 1))
(pow.f64 (+.f64 1 (/.f64 (expm1.f64 x) x)) 1)
(pow.f64 (hypot.f64 1 (sqrt.f64 (/.f64 (expm1.f64 x) x))) 2)
(pow.f64 (cbrt.f64 (+.f64 1 (/.f64 (expm1.f64 x) x))) 3)
(pow.f64 (pow.f64 (+.f64 1 (/.f64 (expm1.f64 x) x)) 3) 1/3)
(sqrt.f64 (pow.f64 (+.f64 1 (/.f64 (expm1.f64 x) x)) 2))
(log.f64 (exp.f64 (+.f64 1 (/.f64 (expm1.f64 x) x))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 1 (/.f64 (expm1.f64 x) x)))))
(cbrt.f64 (pow.f64 (+.f64 1 (/.f64 (expm1.f64 x) x)) 3))
(expm1.f64 (log.f64 (+.f64 (/.f64 (expm1.f64 x) x) 2)))
(exp.f64 (log1p.f64 (/.f64 (expm1.f64 x) x)))
(log1p.f64 (expm1.f64 (+.f64 1 (/.f64 (expm1.f64 x) x))))
(fma.f64 1 (/.f64 (expm1.f64 x) x) 1)
(fma.f64 (expm1.f64 x) (/.f64 1 x) 1)
(fma.f64 (sqrt.f64 (/.f64 (expm1.f64 x) x)) (sqrt.f64 (/.f64 (expm1.f64 x) x)) 1)
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 (expm1.f64 x) x)) 2) (cbrt.f64 (/.f64 (expm1.f64 x) x)) 1)

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))
(+.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))))
(+.f64 (fma.f64 1/2 x (fma.f64 1/6 (.f64 x x) 1)) (.f64 1/24 (pow.f64 x 3)))
(/.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)
2
(+.f64 (*.f64 1/2 x) 2)
(fma.f64 1/2 x 2)
(+.f64 (.f64 1/2 x) (+.f64 (.f64 1/6 (pow.f64 x 2)) 2))
(fma.f64 1/2 x (fma.f64 1/6 (*.f64 x x) 2))
(+.f64 (.f64 1/2 x) (+.f64 (.f64 1/6 (pow.f64 x 2)) (+.f64 2 (*.f64 1/24 (pow.f64 x 3)))))
(fma.f64 1/2 x (+.f64 (fma.f64 1/6 (.f64 x x) 2) (.f64 1/24 (pow.f64 x 3))))
(+.f64 (fma.f64 1/2 x (fma.f64 1/6 (.f64 x x) 2)) (.f64 1/24 (pow.f64 x 3)))
1
(-.f64 (+.f64 (/.f64 (exp.f64 x) x) 1) (/.f64 1 x))
(+.f64 1 (/.f64 (expm1.f64 x) x))
(-.f64 (+.f64 (/.f64 (exp.f64 x) x) 1) (/.f64 1 x))
(+.f64 1 (/.f64 (expm1.f64 x) x))
(-.f64 (+.f64 (/.f64 (exp.f64 x) x) 1) (/.f64 1 x))
(+.f64 1 (/.f64 (expm1.f64 x) x))
1
(-.f64 (+.f64 (/.f64 (exp.f64 x) x) 1) (/.f64 1 x))
(+.f64 1 (/.f64 (expm1.f64 x) x))
(-.f64 (+.f64 (/.f64 (exp.f64 x) x) 1) (/.f64 1 x))
(+.f64 1 (/.f64 (expm1.f64 x) x))
(-.f64 (+.f64 (/.f64 (exp.f64 x) x) 1) (/.f64 1 x))
(+.f64 1 (/.f64 (expm1.f64 x) x))
(+.f64 1 (+.f64 (/.f64 (expm1.f64 x) x) -1))
(/.f64 (expm1.f64 x) x)
(+.f64 (/.f64 (expm1.f64 x) x) 0)
(/.f64 (expm1.f64 x) x)
(+.f64 (+.f64 1 (/.f64 (expm1.f64 x) x)) -1)
(/.f64 (expm1.f64 x) x)
(+.f64 0 (/.f64 (expm1.f64 x) x))
(/.f64 (expm1.f64 x) x)
(+.f64 (+.f64 (/.f64 (expm1.f64 x) x) -1) 1)
(/.f64 (expm1.f64 x) x)
(+.f64 -1 (+.f64 1 (/.f64 (expm1.f64 x) x)))
(/.f64 (expm1.f64 x) x)
(+.f64 (.f64 (/.f64 1 x) (exp.f64 x)) (.f64 (/.f64 1 x) -1))
(/.f64 (expm1.f64 x) x)
(+.f64 (.f64 (exp.f64 x) (/.f64 1 x)) (.f64 -1 (/.f64 1 x)))
(/.f64 (expm1.f64 x) x)
(*.f64 1 (/.f64 (expm1.f64 x) 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 (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 (cbrt.f64 (expm1.f64 x)) 2) (.f64 (cbrt.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 (cbrt.f64 (/.f64 (expm1.f64 x) x)) (/.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) 2) (pow.f64 (cbrt.f64 x) 2)))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (expm1.f64 x) x)) 2) (cbrt.f64 (/.f64 (expm1.f64 x) x)))
(/.f64 (expm1.f64 x) x)
(*.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 (expm1.f64 x) x)) 2) -1) (/.f64 1 (+.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 (+.f64 -1 (pow.f64 (+.f64 1 (/.f64 (expm1.f64 x) x)) 3)) (/.f64 1 (+.f64 (/.f64 (expm1.f64 x) x) (+.f64 2 (pow.f64 (+.f64 1 (/.f64 (expm1.f64 x) x)) 2)))))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 1 (/.f64 (expm1.f64 x) x)) 3)) (+.f64 2 (+.f64 (/.f64 (expm1.f64 x) x) (pow.f64 (+.f64 1 (/.f64 (expm1.f64 x) x)) 2))))
(*.f64 (neg.f64 (expm1.f64 x)) (/.f64 -1 x))
(/.f64 (expm1.f64 x) x)
(.f64 (.f64 (sqrt.f64 (expm1.f64 x)) (/.f64 1 x)) (sqrt.f64 (expm1.f64 x)))
(/.f64 (expm1.f64 x) x)
(.f64 (.f64 (cbrt.f64 (expm1.f64 x)) (/.f64 1 x)) (pow.f64 (cbrt.f64 (expm1.f64 x)) 2))
(/.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 (expm1.f64 x) x)
(*.f64 (/.f64 (expm1.f64 x) (sqrt.f64 x)) (/.f64 1 (sqrt.f64 x)))
(/.f64 (expm1.f64 x) x)
(*.f64 (/.f64 (expm1.f64 x) (cbrt.f64 x)) (/.f64 1 (pow.f64 (cbrt.f64 x) 2)))
(/.f64 (expm1.f64 x) x)
(*.f64 (+.f64 1 (hypot.f64 1 (sqrt.f64 (/.f64 (expm1.f64 x) x)))) (-.f64 (hypot.f64 1 (sqrt.f64 (/.f64 (expm1.f64 x) x))) 1))
(*.f64 (+.f64 1 (hypot.f64 1 (sqrt.f64 (/.f64 (expm1.f64 x) x)))) (+.f64 (hypot.f64 1 (sqrt.f64 (/.f64 (expm1.f64 x) x))) -1))
(+.f64 -1 (pow.f64 (hypot.f64 1 (sqrt.f64 (/.f64 (expm1.f64 x) x))) 2))
(*.f64 (-.f64 (hypot.f64 1 (sqrt.f64 (/.f64 (expm1.f64 x) x))) 1) (+.f64 1 (hypot.f64 1 (sqrt.f64 (/.f64 (expm1.f64 x) x)))))
(*.f64 (+.f64 1 (hypot.f64 1 (sqrt.f64 (/.f64 (expm1.f64 x) x)))) (+.f64 (hypot.f64 1 (sqrt.f64 (/.f64 (expm1.f64 x) x))) -1))
(+.f64 -1 (pow.f64 (hypot.f64 1 (sqrt.f64 (/.f64 (expm1.f64 x) x))) 2))
(*.f64 (/.f64 1 (+.f64 (/.f64 (expm1.f64 x) x) 2)) (+.f64 (pow.f64 (+.f64 1 (/.f64 (expm1.f64 x) x)) 2) -1))
(/.f64 (expm1.f64 x) x)
(*.f64 (/.f64 1 (+.f64 (/.f64 (expm1.f64 x) x) (+.f64 2 (pow.f64 (+.f64 1 (/.f64 (expm1.f64 x) x)) 2)))) (+.f64 -1 (pow.f64 (+.f64 1 (/.f64 (expm1.f64 x) x)) 3)))
(*.f64 (+.f64 -1 (pow.f64 (+.f64 1 (/.f64 (expm1.f64 x) x)) 3)) (/.f64 1 (+.f64 (/.f64 (expm1.f64 x) x) (+.f64 2 (pow.f64 (+.f64 1 (/.f64 (expm1.f64 x) x)) 2)))))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 1 (/.f64 (expm1.f64 x) x)) 3)) (+.f64 2 (+.f64 (/.f64 (expm1.f64 x) x) (pow.f64 (+.f64 1 (/.f64 (expm1.f64 x) x)) 2))))
(*.f64 (/.f64 -1 x) (neg.f64 (expm1.f64 x)))
(/.f64 (expm1.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)) x) (sqrt.f64 (expm1.f64 x)))
(/.f64 (expm1.f64 x) x)
(*.f64 (/.f64 (sqrt.f64 (expm1.f64 x)) x) (/.f64 (sqrt.f64 (expm1.f64 x)) 1))
(/.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 (expm1.f64 x) x)
(*.f64 (/.f64 (sqrt.f64 (expm1.f64 x)) (cbrt.f64 x)) (/.f64 (sqrt.f64 (expm1.f64 x)) (pow.f64 (cbrt.f64 x) 2)))
(/.f64 (expm1.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 (cbrt.f64 (expm1.f64 x)) x) (/.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) 2) 1))
(/.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 (cbrt.f64 (expm1.f64 x)) (sqrt.f64 x)) (/.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) 2) (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)))
(*.f64 (/.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 (expm1.f64 x) x)) 2) -1) (+.f64 (pow.f64 (+.f64 1 (/.f64 (expm1.f64 x) x)) 2) -1)) (/.f64 (expm1.f64 x) x))
(/.f64 (expm1.f64 x) x)
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) 2) x) (cbrt.f64 (expm1.f64 x)))
(/.f64 (expm1.f64 x) x)
(*.f64 (/.f64 1 (/.f64 x (pow.f64 (cbrt.f64 (expm1.f64 x)) 2))) (cbrt.f64 (expm1.f64 x)))
(/.f64 (expm1.f64 x) x)
(*.f64 (/.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 (expm1.f64 x) x)) 2) -1) (-.f64 1 (pow.f64 (+.f64 1 (/.f64 (expm1.f64 x) x)) 2))) (-.f64 0 (/.f64 (expm1.f64 x) x)))
(*.f64 (/.f64 (+.f64 -1 (pow.f64 (+.f64 1 (/.f64 (expm1.f64 x) x)) 2)) (-.f64 1 (pow.f64 (+.f64 1 (/.f64 (expm1.f64 x) x)) 2))) (neg.f64 (/.f64 (expm1.f64 x) x)))
(*.f64 (/.f64 (+.f64 -1 (pow.f64 (+.f64 1 (/.f64 (expm1.f64 x) x)) 2)) (-.f64 1 (pow.f64 (+.f64 1 (/.f64 (expm1.f64 x) x)) 2))) (/.f64 (expm1.f64 x) (neg.f64 x)))
(.f64 (/.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 (expm1.f64 x) x)) 2) -1) (+.f64 1 (pow.f64 (+.f64 1 (/.f64 (expm1.f64 x) x)) 3))) (+.f64 1 (.f64 (/.f64 (expm1.f64 x) x) (+.f64 1 (/.f64 (expm1.f64 x) x)))))
(/.f64 (*.f64 (+.f64 -1 (pow.f64 (+.f64 1 (/.f64 (expm1.f64 x) x)) 2)) (+.f64 1 (+.f64 (/.f64 (expm1.f64 x) x) (pow.f64 (/.f64 (expm1.f64 x) x) 2)))) (+.f64 1 (pow.f64 (+.f64 1 (/.f64 (expm1.f64 x) x)) 3)))
(.f64 (/.f64 (+.f64 -1 (pow.f64 (+.f64 1 (/.f64 (expm1.f64 x) x)) 3)) (-.f64 (.f64 (pow.f64 (+.f64 1 (/.f64 (expm1.f64 x) x)) 2) (pow.f64 (+.f64 1 (/.f64 (expm1.f64 x) x)) 2)) (.f64 (+.f64 (/.f64 (expm1.f64 x) x) 2) (+.f64 (/.f64 (expm1.f64 x) x) 2)))) (-.f64 (.f64 (/.f64 (expm1.f64 x) x) (+.f64 1 (/.f64 (expm1.f64 x) x))) 1))
(.f64 (/.f64 (+.f64 -1 (pow.f64 (+.f64 1 (/.f64 (expm1.f64 x) x)) 3)) (-.f64 (pow.f64 (+.f64 1 (/.f64 (expm1.f64 x) x)) 4) (.f64 (+.f64 2 (/.f64 (expm1.f64 x) x)) (+.f64 2 (/.f64 (expm1.f64 x) x))))) (fma.f64 (/.f64 (expm1.f64 x) x) (+.f64 1 (/.f64 (expm1.f64 x) x)) -1))
(.f64 (/.f64 (+.f64 -1 (pow.f64 (+.f64 1 (/.f64 (expm1.f64 x) x)) 3)) (+.f64 (pow.f64 (+.f64 1 (/.f64 (expm1.f64 x) x)) 4) (.f64 (+.f64 2 (/.f64 (expm1.f64 x) x)) (-.f64 -2 (/.f64 (expm1.f64 x) x))))) (fma.f64 (/.f64 (expm1.f64 x) x) (+.f64 1 (/.f64 (expm1.f64 x) x)) -1))
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(/.f64 (.f64 (-.f64 1 (.f64 (pow.f64 (/.f64 (expm1.f64 x) x) 3) (pow.f64 (/.f64 (expm1.f64 x) x) 3))) (/.f64 1 (+.f64 1 (-.f64 (pow.f64 (/.f64 (expm1.f64 x) x) 2) (/.f64 (expm1.f64 x) x))))) (-.f64 1 (pow.f64 (/.f64 (expm1.f64 x) x) 3)))
(/.f64 (-.f64 1 (pow.f64 (/.f64 (expm1.f64 x) x) 6)) (*.f64 (+.f64 1 (-.f64 (pow.f64 (/.f64 (expm1.f64 x) x) 2) (/.f64 (expm1.f64 x) x))) (-.f64 1 (pow.f64 (/.f64 (expm1.f64 x) x) 3))))
(/.f64 (-.f64 1 (pow.f64 (/.f64 (expm1.f64 x) x) 6)) (*.f64 (-.f64 (pow.f64 (/.f64 (expm1.f64 x) x) 2) (+.f64 (/.f64 (expm1.f64 x) x) -1)) (-.f64 1 (pow.f64 (/.f64 (expm1.f64 x) x) 3))))
(/.f64 (.f64 (+.f64 1 (pow.f64 (pow.f64 (/.f64 (expm1.f64 x) x) 3) 3)) (/.f64 1 (+.f64 1 (-.f64 (pow.f64 (/.f64 (expm1.f64 x) x) 2) (/.f64 (expm1.f64 x) x))))) (+.f64 1 (.f64 (pow.f64 (/.f64 (expm1.f64 x) x) 3) (-.f64 (pow.f64 (/.f64 (expm1.f64 x) x) 3) 1))))
(/.f64 (+.f64 1 (pow.f64 (pow.f64 (/.f64 (expm1.f64 x) x) 3) 3)) (.f64 (+.f64 1 (-.f64 (pow.f64 (/.f64 (expm1.f64 x) x) 2) (/.f64 (expm1.f64 x) x))) (+.f64 1 (.f64 (pow.f64 (/.f64 (expm1.f64 x) x) 3) (+.f64 (pow.f64 (/.f64 (expm1.f64 x) x) 3) -1)))))
(/.f64 (/.f64 (+.f64 1 (pow.f64 (pow.f64 (/.f64 (expm1.f64 x) x) 3) 3)) (-.f64 (pow.f64 (/.f64 (expm1.f64 x) x) 2) (+.f64 (/.f64 (expm1.f64 x) x) -1))) (+.f64 1 (+.f64 (pow.f64 (/.f64 (expm1.f64 x) x) 6) (neg.f64 (pow.f64 (/.f64 (expm1.f64 x) x) 3)))))
(/.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 (expm1.f64 x) x) 2)) 1) (-.f64 1 (/.f64 (expm1.f64 x) x)))
(/.f64 (-.f64 1 (pow.f64 (/.f64 (expm1.f64 x) x) 2)) (-.f64 1 (/.f64 (expm1.f64 x) x)))
(/.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 (expm1.f64 x) x) 2)) (sqrt.f64 (-.f64 1 (/.f64 (expm1.f64 x) x)))) (sqrt.f64 (-.f64 1 (/.f64 (expm1.f64 x) x))))
(/.f64 (-.f64 1 (pow.f64 (/.f64 (expm1.f64 x) x) 2)) (-.f64 1 (/.f64 (expm1.f64 x) x)))
(/.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 (expm1.f64 x) x) 2)) (*.f64 (cbrt.f64 (-.f64 1 (/.f64 (expm1.f64 x) x))) (cbrt.f64 (-.f64 1 (/.f64 (expm1.f64 x) x))))) (cbrt.f64 (-.f64 1 (/.f64 (expm1.f64 x) x))))
(/.f64 (-.f64 1 (pow.f64 (/.f64 (expm1.f64 x) x) 2)) (-.f64 1 (/.f64 (expm1.f64 x) x)))
(/.f64 (/.f64 (+.f64 1 (pow.f64 (/.f64 (expm1.f64 x) x) 3)) 1) (+.f64 1 (-.f64 (pow.f64 (/.f64 (expm1.f64 x) x) 2) (/.f64 (expm1.f64 x) x))))
(*.f64 (+.f64 1 (pow.f64 (/.f64 (expm1.f64 x) x) 3)) (/.f64 1 (+.f64 1 (-.f64 (pow.f64 (/.f64 (expm1.f64 x) x) 2) (/.f64 (expm1.f64 x) x)))))
(/.f64 (+.f64 1 (pow.f64 (/.f64 (expm1.f64 x) x) 3)) (-.f64 (pow.f64 (/.f64 (expm1.f64 x) x) 2) (+.f64 (/.f64 (expm1.f64 x) x) -1)))
(/.f64 (/.f64 (+.f64 1 (pow.f64 (/.f64 (expm1.f64 x) x) 3)) (sqrt.f64 (+.f64 1 (-.f64 (pow.f64 (/.f64 (expm1.f64 x) x) 2) (/.f64 (expm1.f64 x) x))))) (sqrt.f64 (+.f64 1 (-.f64 (pow.f64 (/.f64 (expm1.f64 x) x) 2) (/.f64 (expm1.f64 x) x)))))
(*.f64 (+.f64 1 (pow.f64 (/.f64 (expm1.f64 x) x) 3)) (/.f64 1 (+.f64 1 (-.f64 (pow.f64 (/.f64 (expm1.f64 x) x) 2) (/.f64 (expm1.f64 x) x)))))
(/.f64 (+.f64 1 (pow.f64 (/.f64 (expm1.f64 x) x) 3)) (-.f64 (pow.f64 (/.f64 (expm1.f64 x) x) 2) (+.f64 (/.f64 (expm1.f64 x) x) -1)))
(/.f64 (/.f64 (+.f64 1 (pow.f64 (/.f64 (expm1.f64 x) x) 3)) (*.f64 (cbrt.f64 (+.f64 1 (-.f64 (pow.f64 (/.f64 (expm1.f64 x) x) 2) (/.f64 (expm1.f64 x) x)))) (cbrt.f64 (+.f64 1 (-.f64 (pow.f64 (/.f64 (expm1.f64 x) x) 2) (/.f64 (expm1.f64 x) x)))))) (cbrt.f64 (+.f64 1 (-.f64 (pow.f64 (/.f64 (expm1.f64 x) x) 2) (/.f64 (expm1.f64 x) x)))))
(*.f64 (+.f64 1 (pow.f64 (/.f64 (expm1.f64 x) x) 3)) (/.f64 1 (+.f64 1 (-.f64 (pow.f64 (/.f64 (expm1.f64 x) x) 2) (/.f64 (expm1.f64 x) x)))))
(/.f64 (+.f64 1 (pow.f64 (/.f64 (expm1.f64 x) x) 3)) (-.f64 (pow.f64 (/.f64 (expm1.f64 x) x) 2) (+.f64 (/.f64 (expm1.f64 x) x) -1)))
(/.f64 (/.f64 (-.f64 (pow.f64 (/.f64 (expm1.f64 x) x) 2) 1) 1) (+.f64 (/.f64 (expm1.f64 x) x) -1))
(/.f64 (+.f64 (pow.f64 (/.f64 (expm1.f64 x) x) 2) -1) (+.f64 (/.f64 (expm1.f64 x) x) -1))
(/.f64 (+.f64 -1 (pow.f64 (/.f64 (expm1.f64 x) x) 2)) (+.f64 (/.f64 (expm1.f64 x) x) -1))
(/.f64 (/.f64 (-.f64 (pow.f64 (/.f64 (expm1.f64 x) x) 2) 1) (sqrt.f64 (+.f64 (/.f64 (expm1.f64 x) x) -1))) (sqrt.f64 (+.f64 (/.f64 (expm1.f64 x) x) -1)))
(/.f64 (+.f64 (pow.f64 (/.f64 (expm1.f64 x) x) 2) -1) (+.f64 (/.f64 (expm1.f64 x) x) -1))
(/.f64 (+.f64 -1 (pow.f64 (/.f64 (expm1.f64 x) x) 2)) (+.f64 (/.f64 (expm1.f64 x) x) -1))
(/.f64 (/.f64 (-.f64 (pow.f64 (/.f64 (expm1.f64 x) x) 2) 1) (*.f64 (cbrt.f64 (+.f64 (/.f64 (expm1.f64 x) x) -1)) (cbrt.f64 (+.f64 (/.f64 (expm1.f64 x) x) -1)))) (cbrt.f64 (+.f64 (/.f64 (expm1.f64 x) x) -1)))
(/.f64 (+.f64 (pow.f64 (/.f64 (expm1.f64 x) x) 2) -1) (+.f64 (/.f64 (expm1.f64 x) x) -1))
(/.f64 (+.f64 -1 (pow.f64 (/.f64 (expm1.f64 x) x) 2)) (+.f64 (/.f64 (expm1.f64 x) x) -1))
(/.f64 (/.f64 (-.f64 (pow.f64 (/.f64 (expm1.f64 x) x) 2) 1) (+.f64 1 (sqrt.f64 (/.f64 (expm1.f64 x) x)))) (-.f64 (sqrt.f64 (/.f64 (expm1.f64 x) x)) 1))
(/.f64 (+.f64 (pow.f64 (/.f64 (expm1.f64 x) x) 2) -1) (+.f64 (/.f64 (expm1.f64 x) x) -1))
(/.f64 (+.f64 -1 (pow.f64 (/.f64 (expm1.f64 x) x) 2)) (+.f64 (/.f64 (expm1.f64 x) x) -1))
(pow.f64 (+.f64 1 (/.f64 (expm1.f64 x) x)) 1)
(+.f64 1 (/.f64 (expm1.f64 x) x))
(pow.f64 (hypot.f64 1 (sqrt.f64 (/.f64 (expm1.f64 x) x))) 2)
(pow.f64 (cbrt.f64 (+.f64 1 (/.f64 (expm1.f64 x) x))) 3)
(+.f64 1 (/.f64 (expm1.f64 x) x))
(pow.f64 (pow.f64 (+.f64 1 (/.f64 (expm1.f64 x) x)) 3) 1/3)
(+.f64 1 (/.f64 (expm1.f64 x) x))
(sqrt.f64 (pow.f64 (+.f64 1 (/.f64 (expm1.f64 x) x)) 2))
(fabs.f64 (+.f64 1 (/.f64 (expm1.f64 x) x)))
(log.f64 (exp.f64 (+.f64 1 (/.f64 (expm1.f64 x) x))))
(+.f64 1 (/.f64 (expm1.f64 x) x))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 1 (/.f64 (expm1.f64 x) x)))))
(+.f64 1 (/.f64 (expm1.f64 x) x))
(cbrt.f64 (pow.f64 (+.f64 1 (/.f64 (expm1.f64 x) x)) 3))
(+.f64 1 (/.f64 (expm1.f64 x) x))
(expm1.f64 (log.f64 (+.f64 (/.f64 (expm1.f64 x) x) 2)))
(expm1.f64 (log.f64 (+.f64 2 (/.f64 (expm1.f64 x) x))))
(exp.f64 (log1p.f64 (/.f64 (expm1.f64 x) x)))
(log1p.f64 (expm1.f64 (+.f64 1 (/.f64 (expm1.f64 x) x))))
(+.f64 1 (/.f64 (expm1.f64 x) x))
(fma.f64 1 (/.f64 (expm1.f64 x) x) 1)
(+.f64 1 (/.f64 (expm1.f64 x) x))
(fma.f64 (expm1.f64 x) (/.f64 1 x) 1)
(+.f64 1 (/.f64 (expm1.f64 x) x))
(fma.f64 (sqrt.f64 (/.f64 (expm1.f64 x) x)) (sqrt.f64 (/.f64 (expm1.f64 x) x)) 1)
(+.f64 1 (/.f64 (expm1.f64 x) x))
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 (expm1.f64 x) x)) 2) (cbrt.f64 (/.f64 (expm1.f64 x) x)) 1)
(+.f64 1 (/.f64 (expm1.f64 x) x))

eval188.0ms (5.8%)

Compiler: Compiled 8787 to 4510 computations (48.7% saved)

prune90.0ms (2.8%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	422	1	423
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	422	5	427

Error

Counts

427 → 5

Alt Table

Click to see full alt table

Status	Error	Program
✓	0.01%	(/.f64 (expm1.f64 x) x)
✓	32.96%	(-.f64 (+.f64 1 (/.f64 (expm1.f64 x) x)) 1)
▶	36.34%	(-.f64 (+.f64 1 (+.f64 (*.f64 1/2 x) 1)) 1)
✓	36.32%	(+.f64 (*.f64 1/2 x) 1)
	35.84%	1

Compiler

Compiled 32 to 26 computations (18.8% saved)

localize43.0ms (1.3%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.02%	(+.f64 1 (+.f64 (*.f64 1/2 x) 1))
✓	0.02%	(-.f64 (+.f64 1 (+.f64 (*.f64 1/2 x) 1)) 1)

Compiler

Compiled 28 to 23 computations (17.9% saved)

series1.0ms (0%)

Counts

2 → 24

Calls

6 calls:

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

rewrite63.0ms (1.9%)

Algorithm

1×	batch-egg-rewrite

Rules

2026×	`add-sqr-sqrt`
2006×	`*-un-lft-identity`
1884×	`add-cube-cbrt`
206×	`pow1`
202×	`add-exp-log`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	9	36
1	207	22
2	2837	22

Stop Event

1×	node limit

Counts

2 → 87

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (*.f64 1/2 x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 1/2 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 1/2 x 1) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (*.f64 1/2 x) 2) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (+.f64 (*.f64 1/2 x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 1/2 x 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 1/2 x 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 1/2 x 1)) (sqrt.f64 (fma.f64 1/2 x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 1/2 x 1)) (pow.f64 (cbrt.f64 (fma.f64 1/2 x 1)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 1/2 x 1)) 2) (cbrt.f64 (fma.f64 1/2 x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (*.f64 (*.f64 x x) 1/4) -1) (/.f64 1 (fma.f64 1/2 x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 (+.f64 (*.f64 1/2 x) 2) 2) -1) (/.f64 1 (+.f64 (fma.f64 1/2 x 1) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 1 (*.f64 (pow.f64 x 3) 1/8)) (/.f64 1 (+.f64 (*.f64 (*.f64 x x) 1/4) (-.f64 1 (*.f64 1/2 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 (+.f64 (*.f64 1/2 x) 2) 3) -1) (/.f64 1 (+.f64 (pow.f64 (+.f64 (*.f64 1/2 x) 2) 2) (+.f64 (fma.f64 1/2 x 1) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (sqrt.f64 (+.f64 (*.f64 1/2 x) 2)) 1) (-.f64 (sqrt.f64 (+.f64 (*.f64 1/2 x) 2)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (fma.f64 1/2 x 1) 2) (+.f64 (pow.f64 (+.f64 (*.f64 1/2 x) 2) 2) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (pow.f64 (+.f64 (*.f64 1/2 x) 2) 2) (+.f64 (fma.f64 1/2 x 1) 2)) (+.f64 (pow.f64 (+.f64 (*.f64 1/2 x) 2) 3) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 1/2 x -1) (+.f64 (*.f64 (*.f64 x x) 1/4) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (*.f64 (*.f64 x x) 1/4) (-.f64 1 (*.f64 1/2 x))) (+.f64 1 (*.f64 (pow.f64 x 3) 1/8))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 (*.f64 x x) 1/4) -1) (fma.f64 1/2 x -1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (+.f64 (*.f64 1/2 x) 2) 2) -1) (+.f64 (fma.f64 1/2 x 1) 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (+.f64 (*.f64 1/2 x) 2) 2) -1) (-.f64 (+.f64 (*.f64 1/2 x) 2) -1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1 (*.f64 (pow.f64 x 3) 1/8)) (+.f64 (*.f64 (*.f64 x x) 1/4) (-.f64 1 (*.f64 1/2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1 (*.f64 (pow.f64 x 3) 1/8)) (+.f64 1 (-.f64 (*.f64 (*.f64 x x) 1/4) (*.f64 1/2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (+.f64 (*.f64 1/2 x) 2) 3) -1) (+.f64 (pow.f64 (+.f64 (*.f64 1/2 x) 2) 2) (+.f64 (fma.f64 1/2 x 1) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (+.f64 (*.f64 1/2 x) 2) 3) -1) (+.f64 (pow.f64 (+.f64 (*.f64 1/2 x) 2) 2) (-.f64 1 (*.f64 (+.f64 (*.f64 1/2 x) 2) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (*.f64 (*.f64 x x) 1/4)) (-.f64 1 (*.f64 1/2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 (*.f64 1/2 x) 2) 2) -1)) (neg.f64 (+.f64 (fma.f64 1/2 x 1) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 (*.f64 1/2 x) 2) 3) -1)) (neg.f64 (+.f64 (pow.f64 (+.f64 (*.f64 1/2 x) 2) 2) (+.f64 (fma.f64 1/2 x 1) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (*.f64 (*.f64 x x) 1/4) -1)) (neg.f64 (fma.f64 1/2 x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 1 (*.f64 (pow.f64 x 3) 1/8))) (neg.f64 (+.f64 (*.f64 (*.f64 x x) 1/4) (-.f64 1 (*.f64 1/2 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 1/2 x 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 1/2 x 1)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 1/2 x 1)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 1/2 x 1) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 1/2 x 1) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 1/2 x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 1/2 x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 1/2 x 1) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 1/2 x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log1p.f64 (*.f64 1/2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log1p.f64 (*.f64 1/2 x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 1/2 x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 1/2 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (+.f64 (*.f64 1/2 x) 2) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1/2 x 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x 1/2 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (+.f64 (*.f64 1/2 x) 2)) (sqrt.f64 (+.f64 (*.f64 1/2 x) 2)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 1/2 x)) (sqrt.f64 (*.f64 1/2 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (+.f64 (*.f64 1/2 x) 2)) 2) (cbrt.f64 (+.f64 (*.f64 1/2 x) 2)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 1/2 x)) 2) (cbrt.f64 (*.f64 1/2 x)) 1)))))

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (fma.f64 1/2 x 1) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 1 (-.f64 0 (*.f64 1/2 x))) (/.f64 (pow.f64 (fma.f64 1/2 x 1) 2) (-.f64 0 (*.f64 1/2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 (*.f64 1/2 x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (*.f64 1/2 x) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 (*.f64 1/2 x) 2)) (sqrt.f64 (+.f64 (*.f64 1/2 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 (*.f64 1/2 x) 2)) (*.f64 (sqrt.f64 (+.f64 (*.f64 1/2 x) 2)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 (*.f64 1/2 x) 2)) (pow.f64 (cbrt.f64 (+.f64 (*.f64 1/2 x) 2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 (*.f64 1/2 x) 2)) 2) (cbrt.f64 (+.f64 (*.f64 1/2 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 (*.f64 1/2 x) 2)) 2) (*.f64 (cbrt.f64 (+.f64 (*.f64 1/2 x) 2)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 1 (pow.f64 (fma.f64 1/2 x 1) 2)) (/.f64 1 (-.f64 0 (*.f64 1/2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 1 (pow.f64 (fma.f64 1/2 x 1) 3)) (/.f64 1 (+.f64 1 (*.f64 (fma.f64 1/2 x 1) (*.f64 1/2 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (-.f64 0 (*.f64 1/2 x)) (-.f64 1 (pow.f64 (fma.f64 1/2 x 1) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 1 (*.f64 (fma.f64 1/2 x 1) (*.f64 1/2 x))) (+.f64 1 (pow.f64 (fma.f64 1/2 x 1) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (pow.f64 (fma.f64 1/2 x 1) 2)) (-.f64 0 (*.f64 1/2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1 (pow.f64 (fma.f64 1/2 x 1) 3)) (+.f64 1 (*.f64 (fma.f64 1/2 x 1) (*.f64 1/2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1 (pow.f64 (fma.f64 1/2 x 1) 3)) (+.f64 (pow.f64 (fma.f64 1/2 x 1) 2) (-.f64 0 (*.f64 1/2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (fma.f64 1/2 x 1) 2) 1) (*.f64 1/2 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1 (pow.f64 (fma.f64 1/2 x 1) 2)) 1) (-.f64 0 (*.f64 1/2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 1 (pow.f64 (fma.f64 1/2 x 1) 3)) 1) (+.f64 1 (*.f64 (fma.f64 1/2 x 1) (*.f64 1/2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 1 (pow.f64 (fma.f64 1/2 x 1) 2))) (neg.f64 (-.f64 0 (*.f64 1/2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 1 (pow.f64 (fma.f64 1/2 x 1) 3))) (neg.f64 (+.f64 1 (*.f64 (fma.f64 1/2 x 1) (*.f64 1/2 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 (*.f64 1/2 x) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 (*.f64 1/2 x) 2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 (*.f64 1/2 x) 2)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 (*.f64 1/2 x) 2) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 (*.f64 1/2 x) 2) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 (*.f64 1/2 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (+.f64 (*.f64 1/2 x) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 (*.f64 1/2 x) 2) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 (*.f64 1/2 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log1p.f64 (fma.f64 1/2 x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log1p.f64 (fma.f64 1/2 x 1)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 (*.f64 1/2 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (fma.f64 1/2 x 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (fma.f64 1/2 x 1)) (sqrt.f64 (fma.f64 1/2 x 1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (fma.f64 1/2 x 1)) 2) (cbrt.f64 (fma.f64 1/2 x 1)) 1)))))

simplify112.0ms (3.5%)

Algorithm

1×	egg-herbie

Rules

1192×	`times-frac`
974×	`+-commutative`
748×	`unswap-sqr`
642×	`associate-/l*`
564×	`associate-+r+`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	186	2313
1	426	2051
2	1830	2031
3	7842	2031

Stop Event

1×	node limit

Counts

111 → 108

Calls

Call 1

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

Outputs
1
(+.f64 (*.f64 1/2 x) 1)
(fma.f64 1/2 x 1)
(+.f64 (*.f64 1/2 x) 1)
(fma.f64 1/2 x 1)
(+.f64 (*.f64 1/2 x) 1)
(fma.f64 1/2 x 1)
(*.f64 1/2 x)
(+.f64 1 (*.f64 1/2 x))
(fma.f64 1/2 x 1)
(+.f64 1 (*.f64 1/2 x))
(fma.f64 1/2 x 1)
(+.f64 1 (*.f64 1/2 x))
(fma.f64 1/2 x 1)
(*.f64 1/2 x)
(+.f64 1 (*.f64 1/2 x))
(fma.f64 1/2 x 1)
(+.f64 1 (*.f64 1/2 x))
(fma.f64 1/2 x 1)
(+.f64 1 (*.f64 1/2 x))
(fma.f64 1/2 x 1)
2
(+.f64 (*.f64 1/2 x) 2)
(fma.f64 1/2 x 2)
(+.f64 (*.f64 1/2 x) 2)
(fma.f64 1/2 x 2)
(+.f64 (*.f64 1/2 x) 2)
(fma.f64 1/2 x 2)
(*.f64 1/2 x)
(+.f64 2 (*.f64 1/2 x))
(fma.f64 1/2 x 2)
(+.f64 2 (*.f64 1/2 x))
(fma.f64 1/2 x 2)
(+.f64 2 (*.f64 1/2 x))
(fma.f64 1/2 x 2)
(*.f64 1/2 x)
(+.f64 2 (*.f64 1/2 x))
(fma.f64 1/2 x 2)
(+.f64 2 (*.f64 1/2 x))
(fma.f64 1/2 x 2)
(+.f64 2 (*.f64 1/2 x))
(fma.f64 1/2 x 2)
(+.f64 1 (*.f64 1/2 x))
(fma.f64 1/2 x 1)
(+.f64 (*.f64 1/2 x) 1)
(fma.f64 1/2 x 1)
(+.f64 (fma.f64 1/2 x 1) 0)
(fma.f64 1/2 x 1)
(+.f64 (+.f64 (*.f64 1/2 x) 2) -1)
(fma.f64 1/2 x 1)
(+.f64 -1 (+.f64 (*.f64 1/2 x) 2))
(fma.f64 1/2 x 1)
(*.f64 1 (fma.f64 1/2 x 1))
(fma.f64 1/2 x 1)
(*.f64 (fma.f64 1/2 x 1) 1)
(fma.f64 1/2 x 1)
(*.f64 (sqrt.f64 (fma.f64 1/2 x 1)) (sqrt.f64 (fma.f64 1/2 x 1)))
(fma.f64 1/2 x 1)
(*.f64 (cbrt.f64 (fma.f64 1/2 x 1)) (pow.f64 (cbrt.f64 (fma.f64 1/2 x 1)) 2))
(fma.f64 1/2 x 1)
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 1/2 x 1)) 2) (cbrt.f64 (fma.f64 1/2 x 1)))
(fma.f64 1/2 x 1)
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(fma.f64 1 (fma.f64 1/2 x 1) 1)
(fma.f64 1/2 x 2)
(fma.f64 (sqrt.f64 (fma.f64 1/2 x 1)) (sqrt.f64 (fma.f64 1/2 x 1)) 1)
(fma.f64 1/2 x 2)
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 1/2 x 1)) 2) (cbrt.f64 (fma.f64 1/2 x 1)) 1)
(fma.f64 1/2 x 2)

eval60.0ms (1.9%)

Compiler: Compiled 1443 to 1224 computations (15.2% saved)

prune14.0ms (0.4%)

Pruning

5 alts after pruning (1 fresh and 4 done)

	Pruned	Kept	Total
New	108	0	108
Fresh	0	1	1
Picked	0	1	1
Done	0	3	3
Total	108	5	113

Error

Counts

113 → 5

Alt Table

Click to see full alt table

Status	Error	Program
✓	0.01%	(/.f64 (expm1.f64 x) x)
✓	32.96%	(-.f64 (+.f64 1 (/.f64 (expm1.f64 x) x)) 1)
✓	36.34%	(-.f64 (+.f64 1 (+.f64 (*.f64 1/2 x) 1)) 1)
✓	36.32%	(+.f64 (*.f64 1/2 x) 1)
	35.84%	1

Compiler

Compiled 32 to 26 computations (18.8% saved)

eval0.0ms (0%)

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

prune39.0ms (1.2%)

Pruning

5 alts after pruning (1 fresh and 4 done)

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

Error

Counts

5 → 5

Alt Table

Click to see full alt table

Status	Error	Program
✓	0.01%	(/.f64 (expm1.f64 x) x)
✓	32.96%	(-.f64 (+.f64 1 (/.f64 (expm1.f64 x) x)) 1)
✓	36.34%	(-.f64 (+.f64 1 (+.f64 (*.f64 1/2 x) 1)) 1)
✓	36.32%	(+.f64 (*.f64 1/2 x) 1)
	35.84%	1

Compiler

Compiled 32 to 26 computations (18.8% saved)

regimes8.0ms (0.3%)

Counts

6 → 1

Calls

Call 1

Inputs
1
(+.f64 (*.f64 1/2 x) 1)
(-.f64 (+.f64 1 (+.f64 (*.f64 1/2 x) 1)) 1)
(/.f64 (expm1.f64 x) x)
(/.f64 (-.f64 (exp.f64 x) 1) x)
(-.f64 (+.f64 1 (/.f64 (expm1.f64 x) x)) 1)

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

Calls

2 calls:

4.0ms	x
2.0ms	(/.f64 (-.f64 (exp.f64 x) 1) x)

Results

Error	Segments	Branch
0.01%	1	`x`
0.01%	1	`(/.f64 (-.f64 (exp.f64 x) 1) x)`

Compiler

Compiled 43 to 30 computations (30.2% saved)

regimes5.0ms (0.2%)

Accuracy

Total -0.9b remaining (-4%)

Threshold costs -0.9b (-4%)

Counts

3 → 1

Calls

Call 1

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

Outputs
1

Calls

1 calls:

4.0ms

Results

Error	Segments	Branch
35.84%	1	`x`

Compiler

Compiled 18 to 15 computations (16.7% saved)

simplify4.0ms (0.1%)

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)

soundness51.0ms (1.6%)

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)

end14.0ms (0.4%)

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 (0.1%)

sample2.0s (62.7%)

preprocess19.0ms (0.6%)

simplify28.0ms (0.9%)

eval0.0ms (0%)

prune1.0ms (0%)

localize18.0ms (0.6%)

series1.0ms (0%)

rewrite50.0ms (1.5%)

simplify50.0ms (1.5%)

eval8.0ms (0.2%)

prune49.0ms (1.5%)

localize5.0ms (0.2%)

localize8.0ms (0.2%)

series1.0ms (0%)

rewrite113.0ms (3.5%)

simplify158.0ms (4.9%)

eval188.0ms (5.8%)

prune90.0ms (2.8%)

localize43.0ms (1.3%)

series1.0ms (0%)

rewrite63.0ms (1.9%)

simplify112.0ms (3.5%)

eval60.0ms (1.9%)

prune14.0ms (0.4%)

eval0.0ms (0%)

prune39.0ms (1.2%)

regimes8.0ms (0.3%)

regimes5.0ms (0.2%)

simplify4.0ms (0.1%)

soundness51.0ms (1.6%)

end14.0ms (0.4%)

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