Details

analyze5.0ms (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)

sample3.0s (56.9%)

Results

1.7s	2735×	body	1024	valid
631.0ms	3886×	body	256	valid
502.0ms	1352×	body	512	valid
201.0ms	283×	body	2048	valid
1.0ms	12×	body	256	infinite

Bogosity

preprocess36.0ms (0.7%)

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)

simplify48.0ms (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)

eval1.0ms (0%)

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

prune2.0ms (0%)

Pruning

3 alts after pruning (3 fresh and 0 done)

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

Error

100.0%

Counts

3 → 2

Alt Table

Click to see full alt table

Status	Error	Program
▶	34.5%	(/.f64 (-.f64 (exp.f64 x) 1) x)
▶	100.0%	(/.f64 (expm1.f64 x) x)

Compiler

Compiled 12 to 8 computations (33.3% saved)

localize7.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	100.0%	(/.f64 (expm1.f64 x) x)

Compiler

Compiled 8 to 3 computations (62.5% saved)

series2.0ms (0%)

Counts

1 → 12

Calls

3 calls:

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

rewrite152.0ms (2.9%)

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)))))))

simplify77.0ms (1.4%)

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)

localize12.0ms (0.2%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	100.0%	(/.f64 (-.f64 (exp.f64 x) 1) x)
✓	93.6%	(-.f64 (exp.f64 x) 1)

Compiler

Compiled 15 to 8 computations (46.7% saved)

series2.0ms (0%)

Counts

2 → 8

Calls

6 calls:

Time	Variable		Point	Expression
1.0ms	x	@	inf	(/.f64 (-.f64 (exp.f64 x) 1) x)
0.0ms	x	@	-inf	(/.f64 (-.f64 (exp.f64 x) 1) x)
0.0ms	x	@	0	(-.f64 (exp.f64 x) 1)
0.0ms	x	@	0	(/.f64 (-.f64 (exp.f64 x) 1) x)
0.0ms	x	@	inf	(-.f64 (exp.f64 x) 1)

rewrite101.0ms (1.9%)

Algorithm

1×	batch-egg-rewrite

Rules

1780×	`add-sqr-sqrt`
1764×	`*-un-lft-identity`
1652×	`add-cube-cbrt`
1632×	`add-cbrt-cube`
162×	`pow1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	16
1	168	16
2	2193	16

Stop Event

1×	node limit

Counts

2 → 67

Calls

Call 1

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

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

Outputs

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

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (exp.f64 x) x) (neg.f64 (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (exp.f64 x) x) (/.f64 1 x))))) (#(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 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 (/.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 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)))))))

simplify84.0ms (1.6%)

Algorithm

1×	egg-herbie

Rules

1416×	`associate-/l*`
1372×	`associate-*r/`
1072×	`times-frac`
880×	`unswap-sqr`
810×	`associate-*l/`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	174	1313
1	406	1225
2	1886	1225

Stop Event

1×	node limit

Counts

75 → 98

Calls

Call 1

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

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

eval52.0ms (1%)

Compiler: Compiled 1442 to 695 computations (51.8% saved)

prune31.0ms (0.6%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	142	4	146
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	142	6	148

Error

100.0%

Counts

148 → 6

Alt Table

Click to see full alt table

Status	Error	Program
✓	34.5%	(/.f64 (-.f64 (exp.f64 x) 1) x)
✓	100.0%	(/.f64 (expm1.f64 x) x)
▶	34.6%	(/.f64 (exp.f64 (log.f64 (expm1.f64 x))) x)
▶	72.8%	(-.f64 (+.f64 1 (/.f64 (expm1.f64 x) x)) 1)
▶	70.5%	(+.f64 (*.f64 1/2 x) 1)
	70.4%	1

Compiler

Compiled 36 to 27 computations (25% saved)

localize85.0ms (1.6%)

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

localize14.0ms (0.3%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	100.0%	(+.f64 1 (/.f64 (expm1.f64 x) x))
	100.0%	(/.f64 (expm1.f64 x) x)
✓	98.6%	(-.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	@	inf	(+.f64 1 (/.f64 (expm1.f64 x) x))
0.0ms	x	@	inf	(-.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))

rewrite215.0ms (4%)

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 (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)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (expm1.f64 x)) (/.f64 -1 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (expm1.f64 x)) (/.f64 1 x)) (sqrt.f64 (expm1.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (expm1.f64 x)) (/.f64 1 x)) (pow.f64 (cbrt.f64 (expm1.f64 x)) 2))))) (#(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 (expm1.f64 x) (sqrt.f64 x)) (/.f64 1 (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (expm1.f64 x) (cbrt.f64 x)) (/.f64 1 (pow.f64 (cbrt.f64 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((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))))) (#(struct:change #<rule egg-rr> (2) ((x *.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)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 (/.f64 (expm1.f64 x) x) 2)) (+.f64 (pow.f64 (+.f64 1 (/.f64 (expm1.f64 x) x)) 2) -1))))) (#(struct:change #<rule egg-rr> (2) ((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)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 x) (neg.f64 (expm1.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)) x) (sqrt.f64 (expm1.f64 x)))))) (#(struct:change #<rule 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simplify215.0ms (4%)

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))
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(/.f64 (*.f64 (sqrt.f64 (+.f64 1 (pow.f64 (/.f64 (expm1.f64 x) x) 3))) (hypot.f64 1 (sqrt.f64 (/.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 (cbrt.f64 (-.f64 1 (pow.f64 (/.f64 (expm1.f64 x) x) 2))) (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 (expm1.f64 x) x))) 2)) (cbrt.f64 (-.f64 1 (/.f64 (expm1.f64 x) x))))
(/.f64 (*.f64 (cbrt.f64 (+.f64 1 (pow.f64 (/.f64 (expm1.f64 x) x) 3))) (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 (expm1.f64 x) x))) 2)) (cbrt.f64 (+.f64 1 (-.f64 (pow.f64 (/.f64 (expm1.f64 x) x) 2) (/.f64 (expm1.f64 x) x)))))
(/.f64 (*.f64 (-.f64 1 (/.f64 (pow.f64 (/.f64 (expm1.f64 x) x) 3) (/.f64 x (expm1.f64 x)))) (/.f64 1 (-.f64 1 (/.f64 (expm1.f64 x) x)))) (+.f64 1 (pow.f64 (/.f64 (expm1.f64 x) x) 2)))
(/.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))
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(/.f64 (-.f64 1 (pow.f64 (/.f64 (expm1.f64 x) x) 6)) (*.f64 (-.f64 1 (/.f64 (expm1.f64 x) x)) (+.f64 1 (+.f64 (pow.f64 (/.f64 (expm1.f64 x) x) 2) (pow.f64 (/.f64 (expm1.f64 x) x) 4)))))
(/.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))

localize13.0ms (0.2%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	100.0%	(log.f64 (expm1.f64 x))
✓	100.0%	(/.f64 (exp.f64 (log.f64 (expm1.f64 x))) x)
✓	96.7%	(exp.f64 (log.f64 (expm1.f64 x)))

Compiler

Compiled 17 to 5 computations (70.6% saved)

series94.0ms (1.8%)

Counts

3 → 36

Calls

9 calls:

Time	Variable		Point	Expression
56.0ms	x	@	inf	(log.f64 (expm1.f64 x))
37.0ms	x	@	-inf	(log.f64 (expm1.f64 x))
0.0ms	x	@	0	(log.f64 (expm1.f64 x))
0.0ms	x	@	0	(exp.f64 (log.f64 (expm1.f64 x)))
0.0ms	x	@	0	(/.f64 (exp.f64 (log.f64 (expm1.f64 x))) x)

rewrite107.0ms (2%)

Algorithm

1×	batch-egg-rewrite

Rules

1396×	`add-sqr-sqrt`
1384×	`*-un-lft-identity`
1284×	`add-cube-cbrt`
1266×	`add-cbrt-cube`
1252×	`add-exp-log`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	25
1	149	25
2	1729	25

Stop Event

1×	node limit

Counts

3 → 73

Calls

Call 1

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

Outputs

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

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

simplify96.0ms (1.8%)

Algorithm

1×	egg-herbie

Rules

1476×	`associate-*r/`
1446×	`associate-/l*`
1154×	`unswap-sqr`
852×	`associate-*l/`
700×	`*-commutative`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	189	1399
1	450	1347
2	2357	1347

Stop Event

1×	node limit

Counts

109 → 122

Calls

Call 1

Inputs
x
(+.f64 (*.f64 1/2 (pow.f64 x 2)) x)
(+.f64 (.f64 1/6 (pow.f64 x 3)) (+.f64 (.f64 1/2 (pow.f64 x 2)) x))
(+.f64 (.f64 1/6 (pow.f64 x 3)) (+.f64 (.f64 1/2 (pow.f64 x 2)) (+.f64 (*.f64 1/24 (pow.f64 x 4)) x)))
(-.f64 (exp.f64 x) 1)
(-.f64 (exp.f64 x) 1)
(-.f64 (exp.f64 x) 1)
(-.f64 (exp.f64 x) 1)
(-.f64 (exp.f64 x) 1)
(-.f64 (exp.f64 x) 1)
(-.f64 (exp.f64 x) 1)
(-.f64 (exp.f64 x) 1)
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)
(log.f64 x)
(+.f64 (*.f64 1/2 x) (log.f64 x))
(+.f64 (.f64 1/2 x) (+.f64 (.f64 1/24 (pow.f64 x 2)) (log.f64 x)))
(+.f64 (.f64 1/2 x) (+.f64 (.f64 1/24 (pow.f64 x 2)) (+.f64 (*.f64 -1/2880 (pow.f64 x 4)) (log.f64 x))))
(log.f64 (-.f64 (exp.f64 x) 1))
(log.f64 (-.f64 (exp.f64 x) 1))
(log.f64 (-.f64 (exp.f64 x) 1))
(log.f64 (-.f64 (exp.f64 x) 1))
(log.f64 (-.f64 (exp.f64 x) 1))
(log.f64 (-.f64 (exp.f64 x) 1))
(log.f64 (-.f64 (exp.f64 x) 1))
(log.f64 (-.f64 (exp.f64 x) 1))
(+.f64 1 (-.f64 (expm1.f64 x) 1))
(+.f64 (exp.f64 x) -1)
(-.f64 (exp.f64 x) 1)
(*.f64 (expm1.f64 x) 1)
(*.f64 1 (expm1.f64 x))
(*.f64 (sqrt.f64 (expm1.f64 x)) (sqrt.f64 (expm1.f64 x)))
(*.f64 (cbrt.f64 (expm1.f64 x)) (pow.f64 (cbrt.f64 (expm1.f64 x)) 2))
(*.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) 2) (cbrt.f64 (expm1.f64 x)))
(/.f64 (-.f64 (*.f64 (exp.f64 x) (exp.f64 x)) 1) (+.f64 (exp.f64 x) 1))
(/.f64 (-.f64 (pow.f64 (exp.f64 x) 3) 1) (+.f64 (.f64 (exp.f64 x) (exp.f64 x)) (+.f64 1 (.f64 (exp.f64 x) 1))))
(pow.f64 (expm1.f64 x) 1)
(pow.f64 (sqrt.f64 (expm1.f64 x)) 2)
(pow.f64 (cbrt.f64 (expm1.f64 x)) 3)
(pow.f64 (pow.f64 (expm1.f64 x) 3) 1/3)
(pow.f64 (exp.f64 1) (log.f64 (expm1.f64 x)))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (expm1.f64 x)))) (sqrt.f64 (log.f64 (expm1.f64 x))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (expm1.f64 x))) 2)) (cbrt.f64 (log.f64 (expm1.f64 x))))
(sqrt.f64 (pow.f64 (expm1.f64 x) 2))
(log.f64 (exp.f64 (expm1.f64 x)))
(cbrt.f64 (pow.f64 (expm1.f64 x) 3))
(expm1.f64 x)
(log1p.f64 (expm1.f64 (expm1.f64 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)))
(exp.f64 (*.f64 (log.f64 (/.f64 (expm1.f64 x) x)) 1))
(log1p.f64 (expm1.f64 (/.f64 (expm1.f64 x) x)))
(+.f64 (log.f64 (sqrt.f64 (expm1.f64 x))) (log.f64 (sqrt.f64 (expm1.f64 x))))
(+.f64 0 (log.f64 (expm1.f64 x)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) 2)) (log.f64 (cbrt.f64 (expm1.f64 x))))
(-.f64 (+.f64 1 (log.f64 (expm1.f64 x))) 1)
(*.f64 (log.f64 (expm1.f64 x)) 1)
(*.f64 1 (log.f64 (expm1.f64 x)))
(*.f64 (sqrt.f64 (log.f64 (expm1.f64 x))) (sqrt.f64 (log.f64 (expm1.f64 x))))
(*.f64 (cbrt.f64 (log.f64 (expm1.f64 x))) (pow.f64 (cbrt.f64 (log.f64 (expm1.f64 x))) 2))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 (expm1.f64 x))) 2) (cbrt.f64 (log.f64 (expm1.f64 x))))
(pow.f64 (log.f64 (expm1.f64 x)) 1)
(pow.f64 (sqrt.f64 (log.f64 (expm1.f64 x))) 2)
(pow.f64 (cbrt.f64 (log.f64 (expm1.f64 x))) 3)
(pow.f64 (pow.f64 (log.f64 (expm1.f64 x)) 3) 1/3)
(sqrt.f64 (pow.f64 (log.f64 (expm1.f64 x)) 2))
(cbrt.f64 (pow.f64 (log.f64 (expm1.f64 x)) 3))
(expm1.f64 (log1p.f64 (log.f64 (expm1.f64 x))))
(exp.f64 (log.f64 (log.f64 (expm1.f64 x))))
(exp.f64 (*.f64 (log.f64 (log.f64 (expm1.f64 x))) 1))
(log1p.f64 (-.f64 (expm1.f64 x) 1))

Outputs
x
(+.f64 (*.f64 1/2 (pow.f64 x 2)) x)
(fma.f64 1/2 (*.f64 x x) x)
(*.f64 (fma.f64 x 1/2 1) x)
(+.f64 (.f64 1/6 (pow.f64 x 3)) (+.f64 (.f64 1/2 (pow.f64 x 2)) x))
(fma.f64 1/6 (pow.f64 x 3) (fma.f64 1/2 (*.f64 x x) x))
(fma.f64 1/6 (pow.f64 x 3) (*.f64 (fma.f64 x 1/2 1) x))
(+.f64 (.f64 1/6 (pow.f64 x 3)) (+.f64 (.f64 1/2 (pow.f64 x 2)) (+.f64 (*.f64 1/24 (pow.f64 x 4)) x)))
(fma.f64 1/6 (pow.f64 x 3) (fma.f64 1/2 (*.f64 x x) (fma.f64 1/24 (pow.f64 x 4) x)))
(-.f64 (exp.f64 x) 1)
(expm1.f64 x)
(-.f64 (exp.f64 x) 1)
(expm1.f64 x)
(-.f64 (exp.f64 x) 1)
(expm1.f64 x)
(-.f64 (exp.f64 x) 1)
(expm1.f64 x)
(-.f64 (exp.f64 x) 1)
(expm1.f64 x)
(-.f64 (exp.f64 x) 1)
(expm1.f64 x)
(-.f64 (exp.f64 x) 1)
(expm1.f64 x)
(-.f64 (exp.f64 x) 1)
(expm1.f64 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 (.f64 1/6 (pow.f64 x 2)) 1))
(fma.f64 1/2 x (fma.f64 1/6 (*.f64 x x) 1))
(fma.f64 x 1/2 (fma.f64 (*.f64 x 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 (pow.f64 x 3) 1/24)))
(fma.f64 x 1/2 (fma.f64 (*.f64 x x) 1/6 (fma.f64 (pow.f64 x 3) 1/24 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)
(log.f64 x)
(+.f64 (*.f64 1/2 x) (log.f64 x))
(fma.f64 1/2 x (log.f64 x))
(fma.f64 x 1/2 (log.f64 x))
(+.f64 (.f64 1/2 x) (+.f64 (.f64 1/24 (pow.f64 x 2)) (log.f64 x)))
(fma.f64 1/2 x (fma.f64 1/24 (*.f64 x x) (log.f64 x)))
(fma.f64 x 1/2 (fma.f64 (*.f64 x x) 1/24 (log.f64 x)))
(+.f64 (.f64 1/2 x) (+.f64 (.f64 1/24 (pow.f64 x 2)) (+.f64 (*.f64 -1/2880 (pow.f64 x 4)) (log.f64 x))))
(fma.f64 1/2 x (fma.f64 1/24 (*.f64 x x) (fma.f64 -1/2880 (pow.f64 x 4) (log.f64 x))))
(fma.f64 x 1/2 (fma.f64 (*.f64 x x) 1/24 (fma.f64 (pow.f64 x 4) -1/2880 (log.f64 x))))
(log.f64 (-.f64 (exp.f64 x) 1))
(log.f64 (expm1.f64 x))
(log.f64 (-.f64 (exp.f64 x) 1))
(log.f64 (expm1.f64 x))
(log.f64 (-.f64 (exp.f64 x) 1))
(log.f64 (expm1.f64 x))
(log.f64 (-.f64 (exp.f64 x) 1))
(log.f64 (expm1.f64 x))
(log.f64 (-.f64 (exp.f64 x) 1))
(log.f64 (expm1.f64 x))
(log.f64 (-.f64 (exp.f64 x) 1))
(log.f64 (expm1.f64 x))
(log.f64 (-.f64 (exp.f64 x) 1))
(log.f64 (expm1.f64 x))
(log.f64 (-.f64 (exp.f64 x) 1))
(log.f64 (expm1.f64 x))
(+.f64 1 (-.f64 (expm1.f64 x) 1))
(expm1.f64 x)
(+.f64 (exp.f64 x) -1)
(expm1.f64 x)
(-.f64 (exp.f64 x) 1)
(expm1.f64 x)
(*.f64 (expm1.f64 x) 1)
(expm1.f64 x)
(*.f64 1 (expm1.f64 x))
(expm1.f64 x)
(*.f64 (sqrt.f64 (expm1.f64 x)) (sqrt.f64 (expm1.f64 x)))
(expm1.f64 x)
(*.f64 (cbrt.f64 (expm1.f64 x)) (pow.f64 (cbrt.f64 (expm1.f64 x)) 2))
(expm1.f64 x)
(*.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) 2) (cbrt.f64 (expm1.f64 x)))
(expm1.f64 x)
(/.f64 (-.f64 (*.f64 (exp.f64 x) (exp.f64 x)) 1) (+.f64 (exp.f64 x) 1))
(/.f64 (fma.f64 (exp.f64 x) (exp.f64 x) -1) (+.f64 (exp.f64 x) 1))
(/.f64 (expm1.f64 (+.f64 x x)) (+.f64 (exp.f64 x) 1))
(/.f64 (-.f64 (pow.f64 (exp.f64 x) 3) 1) (+.f64 (.f64 (exp.f64 x) (exp.f64 x)) (+.f64 1 (.f64 (exp.f64 x) 1))))
(/.f64 (+.f64 (pow.f64 (exp.f64 x) 3) -1) (+.f64 (exp.f64 (+.f64 x x)) (+.f64 (exp.f64 x) 1)))
(/.f64 (+.f64 -1 (pow.f64 (exp.f64 x) 3)) (+.f64 (exp.f64 x) (fma.f64 (exp.f64 x) (exp.f64 x) 1)))
(pow.f64 (expm1.f64 x) 1)
(expm1.f64 x)
(pow.f64 (sqrt.f64 (expm1.f64 x)) 2)
(expm1.f64 x)
(pow.f64 (cbrt.f64 (expm1.f64 x)) 3)
(expm1.f64 x)
(pow.f64 (pow.f64 (expm1.f64 x) 3) 1/3)
(expm1.f64 x)
(pow.f64 (exp.f64 1) (log.f64 (expm1.f64 x)))
(pow.f64 (E.f64) (log.f64 (expm1.f64 x)))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (expm1.f64 x)))) (sqrt.f64 (log.f64 (expm1.f64 x))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (expm1.f64 x))) 2)) (cbrt.f64 (log.f64 (expm1.f64 x))))
(sqrt.f64 (pow.f64 (expm1.f64 x) 2))
(fabs.f64 (expm1.f64 x))
(log.f64 (exp.f64 (expm1.f64 x)))
(expm1.f64 x)
(cbrt.f64 (pow.f64 (expm1.f64 x) 3))
(expm1.f64 x)
(expm1.f64 x)
(log1p.f64 (expm1.f64 (expm1.f64 x)))
(expm1.f64 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 (/.f64 (expm1.f64 x) (sqrt.f64 x)) (sqrt.f64 x))
(/.f64 (expm1.f64 x) (*.f64 (sqrt.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) (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2))
(/.f64 (expm1.f64 x) (*.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 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)) (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 (/.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 (/.f64 1 (sqrt.f64 x)) (/.f64 (expm1.f64 x) (sqrt.f64 x)))
(/.f64 (/.f64 (expm1.f64 x) (sqrt.f64 x)) (sqrt.f64 x))
(/.f64 (expm1.f64 x) (*.f64 (sqrt.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)))
(*.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 (expm1.f64 x)) 2) (/.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 (/.f64 (expm1.f64 x) x))))
(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))
(fabs.f64 (/.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)
(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 (log.f64 (sqrt.f64 (expm1.f64 x))) (log.f64 (sqrt.f64 (expm1.f64 x))))
(log.f64 (expm1.f64 x))
(+.f64 0 (log.f64 (expm1.f64 x)))
(log.f64 (expm1.f64 x))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) 2)) (log.f64 (cbrt.f64 (expm1.f64 x))))
(log.f64 (expm1.f64 x))
(-.f64 (+.f64 1 (log.f64 (expm1.f64 x))) 1)
(log.f64 (expm1.f64 x))
(*.f64 (log.f64 (expm1.f64 x)) 1)
(log.f64 (expm1.f64 x))
(*.f64 1 (log.f64 (expm1.f64 x)))
(log.f64 (expm1.f64 x))
(*.f64 (sqrt.f64 (log.f64 (expm1.f64 x))) (sqrt.f64 (log.f64 (expm1.f64 x))))
(log.f64 (expm1.f64 x))
(*.f64 (cbrt.f64 (log.f64 (expm1.f64 x))) (pow.f64 (cbrt.f64 (log.f64 (expm1.f64 x))) 2))
(log.f64 (expm1.f64 x))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 (expm1.f64 x))) 2) (cbrt.f64 (log.f64 (expm1.f64 x))))
(log.f64 (expm1.f64 x))
(pow.f64 (log.f64 (expm1.f64 x)) 1)
(log.f64 (expm1.f64 x))
(pow.f64 (sqrt.f64 (log.f64 (expm1.f64 x))) 2)
(log.f64 (expm1.f64 x))
(pow.f64 (cbrt.f64 (log.f64 (expm1.f64 x))) 3)
(log.f64 (expm1.f64 x))
(pow.f64 (pow.f64 (log.f64 (expm1.f64 x)) 3) 1/3)
(log.f64 (expm1.f64 x))
(sqrt.f64 (pow.f64 (log.f64 (expm1.f64 x)) 2))
(fabs.f64 (log.f64 (expm1.f64 x)))
(cbrt.f64 (pow.f64 (log.f64 (expm1.f64 x)) 3))
(log.f64 (expm1.f64 x))
(expm1.f64 (log1p.f64 (log.f64 (expm1.f64 x))))
(log.f64 (expm1.f64 x))
(exp.f64 (log.f64 (log.f64 (expm1.f64 x))))
(log.f64 (expm1.f64 x))
(exp.f64 (*.f64 (log.f64 (log.f64 (expm1.f64 x))) 1))
(log.f64 (expm1.f64 x))
(log1p.f64 (-.f64 (expm1.f64 x) 1))
(log1p.f64 (+.f64 (expm1.f64 x) -1))
(log1p.f64 (+.f64 (exp.f64 x) -2))

eval309.0ms (5.8%)

Compiler: Compiled 9969 to 5055 computations (49.3% saved)

prune141.0ms (2.6%)

Pruning

7 alts after pruning (2 fresh and 5 done)

	Pruned	Kept	Total
New	544	1	545
Fresh	0	1	1
Picked	0	1	1
Done	0	4	4
Total	544	7	551

Error

100.0%

Counts

551 → 7

Alt Table

Click to see full alt table

Status	Error	Program
✓	34.5%	(/.f64 (-.f64 (exp.f64 x) 1) x)
✓	100.0%	(/.f64 (expm1.f64 x) x)
✓	34.6%	(/.f64 (exp.f64 (log.f64 (expm1.f64 x))) x)
▶	70.4%	(-.f64 (+.f64 (*.f64 1/2 x) 2) 1)
✓	72.8%	(-.f64 (+.f64 1 (/.f64 (expm1.f64 x) x)) 1)
✓	70.5%	(+.f64 (*.f64 1/2 x) 1)
	70.4%	1

Compiler

Compiled 44 to 34 computations (22.7% saved)

localize19.0ms (0.4%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	100.0%	(-.f64 (+.f64 (*.f64 1/2 x) 2) 1)

Compiler

Compiled 20 to 16 computations (20% saved)

series1.0ms (0%)

Counts

1 → 12

Calls

3 calls:

Time	Variable		Point	Expression
1.0ms	x	@	inf	(-.f64 (+.f64 (*.f64 1/2 x) 2) 1)
0.0ms	x	@	0	(-.f64 (+.f64 (*.f64 1/2 x) 2) 1)
0.0ms	x	@	-inf	(-.f64 (+.f64 (*.f64 1/2 x) 2) 1)

rewrite102.0ms (1.9%)

Algorithm

1×	batch-egg-rewrite

Rules

1932×	`add-sqr-sqrt`
1904×	`*-un-lft-identity`
1794×	`add-cube-cbrt`
1782×	`add-cbrt-cube`
188×	`add-exp-log`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	9	13
1	201	9
2	2468	9

Stop Event

1×	node limit

Counts

1 → 44

Calls

Call 1

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

Outputs

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

simplify93.0ms (1.7%)

Algorithm

1×	egg-herbie

Rules

1614×	`associate-+r+`
1480×	`associate-+l+`
1026×	`associate-r`
780×	`associate-l`
510×	`associate--r+`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	106	982
1	245	922
2	790	918
3	4109	918

Stop Event

1×	node limit

Counts

56 → 56

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

eval30.0ms (0.6%)

Compiler: Compiled 639 to 531 computations (16.9% saved)

prune16.0ms (0.3%)

Pruning

7 alts after pruning (1 fresh and 6 done)

	Pruned	Kept	Total
New	56	0	56
Fresh	0	1	1
Picked	0	1	1
Done	0	5	5
Total	56	7	63

Error

100.0%

Counts

63 → 7

Alt Table

Click to see full alt table

Status	Error	Program
✓	34.5%	(/.f64 (-.f64 (exp.f64 x) 1) x)
✓	100.0%	(/.f64 (expm1.f64 x) x)
✓	34.6%	(/.f64 (exp.f64 (log.f64 (expm1.f64 x))) x)
✓	70.4%	(-.f64 (+.f64 (*.f64 1/2 x) 2) 1)
✓	72.8%	(-.f64 (+.f64 1 (/.f64 (expm1.f64 x) x)) 1)
✓	70.5%	(+.f64 (*.f64 1/2 x) 1)
	70.4%	1

Compiler

Compiled 44 to 34 computations (22.7% saved)

eval0.0ms (0%)

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

prune5.0ms (0.1%)

Pruning

7 alts after pruning (1 fresh and 6 done)

	Kept	Total
New	0	0
Fresh	1	1
Picked	0	0
Done	6	6
Total	7	7

Error

100.0%

Counts

7 → 7

Alt Table

Click to see full alt table

Status	Error	Program
✓	34.5%	(/.f64 (-.f64 (exp.f64 x) 1) x)
✓	100.0%	(/.f64 (expm1.f64 x) x)
✓	34.6%	(/.f64 (exp.f64 (log.f64 (expm1.f64 x))) x)
✓	70.4%	(-.f64 (+.f64 (*.f64 1/2 x) 2) 1)
✓	72.8%	(-.f64 (+.f64 1 (/.f64 (expm1.f64 x) x)) 1)
✓	70.5%	(+.f64 (*.f64 1/2 x) 1)
	70.4%	1

Compiler

Compiled 44 to 34 computations (22.7% saved)

regimes19.0ms (0.4%)

Counts

7 → 1

Calls

Call 1

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

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

Calls

2 calls:

12.0ms	x
5.0ms	(/.f64 (-.f64 (exp.f64 x) 1) x)

Results

Error	Segments	Branch
100.0%	1	`x`
100.0%	1	`(/.f64 (-.f64 (exp.f64 x) 1) x)`

Compiler

Compiled 47 to 31 computations (34% saved)

regimes9.0ms (0.2%)

Accuracy

Total -0.7b remaining (-3.8%)

Threshold costs -0.70b (-3.8%)

Counts

3 → 1

Calls

Call 1

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

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

Calls

1 calls:

7.0ms

Results

Error	Segments	Branch
70.5%	1	`x`

Compiler

Compiled 16 to 13 computations (18.8% saved)

simplify8.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

2×	`1-exp`
2×	`+-commutative`
2×	`*-commutative`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	25
1	14	25

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

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

Outputs
(/.f64 (expm1.f64 x) x)
(+.f64 (*.f64 1/2 x) 1)
(+.f64 (*.f64 x 1/2) 1)
1

Compiler

Compiled 13 to 10 computations (23.1% saved)

soundness62.0ms (1.2%)

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)

end27.0ms (0.5%)

Compiler: Compiled 11 to 8 computations (27.3% 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

analyze5.0ms (0.1%)

sample3.0s (56.9%)

preprocess36.0ms (0.7%)

simplify48.0ms (0.9%)

eval1.0ms (0%)

prune2.0ms (0%)

localize7.0ms (0.1%)

series2.0ms (0%)

rewrite152.0ms (2.9%)

simplify77.0ms (1.4%)

localize12.0ms (0.2%)

series2.0ms (0%)

rewrite101.0ms (1.9%)

simplify84.0ms (1.6%)

eval52.0ms (1%)

prune31.0ms (0.6%)

localize85.0ms (1.6%)

localize14.0ms (0.3%)

series1.0ms (0%)

rewrite215.0ms (4%)

simplify215.0ms (4%)

localize13.0ms (0.2%)

series94.0ms (1.8%)

rewrite107.0ms (2%)

simplify96.0ms (1.8%)

eval309.0ms (5.8%)

prune141.0ms (2.6%)

localize19.0ms (0.4%)

series1.0ms (0%)

rewrite102.0ms (1.9%)

simplify93.0ms (1.7%)

eval30.0ms (0.6%)

prune16.0ms (0.3%)

eval0.0ms (0%)

prune5.0ms (0.1%)

regimes19.0ms (0.4%)

regimes9.0ms (0.2%)

simplify8.0ms (0.1%)

soundness62.0ms (1.2%)

end27.0ms (0.5%)

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