Metrics for Kahan's exp quotient

analyze1.0ms (0%)

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
50%	50%	50%	0%	0%	0%	0%	2
75%	75%	25%	0%	0%	0%	0%	3
87.5%	87.5%	12.5%	0%	0%	0%	0%	4
93.8%	93.7%	6.2%	0%	0%	0%	0%	5
96.9%	96.8%	3.1%	0%	0%	0%	0%	6
98.4%	98.4%	1.6%	0%	0%	0%	0%	7
99.2%	99.2%	0.8%	0%	0%	0%	0%	8
99.6%	99.6%	0.4%	0%	0%	0%	0%	9
99.8%	99.8%	0.2%	0%	0%	0%	0%	10
99.9%	99.9%	0.1%	0%	0%	0%	0%	11
100%	99.9%	0%	0%	0%	0%	0%	12

Compiler

Compiled 8 to 6 computations (25% saved)

sample1.2s (33.7%)

Results

495.0ms	2070×	body	1024	valid
241.0ms	2906×	body	256	valid
183.0ms	1079×	body	512	valid
148.0ms	1978×	body	256	infinite
83.0ms	223×	body	2048	valid

Bogosity

preprocess117.0ms (3.4%)

Algorithm

1×	egg-herbie

Rules

1784×	`div-sub`
1494×	`fma-neg`
1012×	`times-frac`
642×	`distribute-lft-neg-in`
556×	`distribute-rgt-neg-in`

Problems

130×	`(-.f64 (exp.f64 x) 1)`
126×	No Errors

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	15	88
1	36	88
2	65	86
3	144	80
4	380	80
5	1034	80
6	4094	80
7	7626	80

Stop Event

1×	node limit

Calls

Call 1

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

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

Compiler

Compiled 23 to 14 computations (39.1% saved)

eval0.0ms (0%)

Compiler: Compiled 5 to 3 computations (40% saved)

prune1.0ms (0%)

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(/.f64 (expm1.f64 x) x)
▶	100.0%	(/.f64 (expm1.f64 x) x)

Compiler

Compiled 10 to 6 computations (40% saved)

localize31.0ms (0.9%)

Localize:

Found 1 expressions with local error:

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

Compiler

Compiled 9 to 4 computations (55.6% 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)

rewrite105.0ms (3%)

Algorithm

1×	batch-egg-rewrite

Rules

508×	`unpow-prod-down`
354×	`cbrt-prod`
352×	`log-prod`
332×	`log1p-expm1-u`
331×	`expm1-log1p-u`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	17
1	68	17
2	882	17

Stop Event

1×	node limit

Counts

1 → 64

Calls

Call 1

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

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

simplify72.0ms (2.1%)

Algorithm

1×	egg-herbie

Rules

960×	`fma-def`
714×	`associate-*r/`
690×	`unswap-sqr`
682×	`distribute-lft-in`
626×	`distribute-rgt-in`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	215	2185
1	500	2106
2	1594	2042
3	7882	2042

Stop Event

1×	node limit

Counts

76 → 99

Calls

Call 1

Inputs
1
(+.f64 1 (*.f64 1/2 x))
(+.f64 1 (+.f64 (.f64 1/6 (pow.f64 x 2)) (.f64 1/2 x)))
(+.f64 1 (+.f64 (.f64 1/24 (pow.f64 x 3)) (+.f64 (.f64 1/6 (pow.f64 x 2)) (*.f64 1/2 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 (exp.f64 x) 1) x)
(+.f64 0 (/.f64 (expm1.f64 x) x))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 (expm1.f64 x) x))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (expm1.f64 x) x)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (expm1.f64 x) x)))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (expm1.f64 x) 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 (/.f64 (expm1.f64 x) x) (log.f64 (E.f64)))
(*.f64 1 (/.f64 (expm1.f64 x) 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 (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 (sqrt.f64 (expm1.f64 x)) (sqrt.f64 (.f64 (/.f64 1 x) (/.f64 (expm1.f64 x) x))))
(*.f64 (neg.f64 (expm1.f64 x)) (/.f64 1 (neg.f64 x)))
(*.f64 (/.f64 1 x) (expm1.f64 x))
(*.f64 (/.f64 1 x) (pow.f64 (/.f64 1 (expm1.f64 x)) -1))
(*.f64 (pow.f64 x -1/2) (/.f64 (expm1.f64 x) (sqrt.f64 x)))
(*.f64 (pow.f64 (/.f64 (expm1.f64 x) x) 1/4) (sqrt.f64 (pow.f64 (/.f64 (expm1.f64 x) x) 3/2)))
(*.f64 (pow.f64 (cbrt.f64 x) -2) (/.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 (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 (pow.f64 1 1/3) (/.f64 (expm1.f64 x) x))
(.f64 (pow.f64 (.f64 (pow.f64 (/.f64 (expm1.f64 x) x) 2) (expm1.f64 x)) 1/3) (cbrt.f64 (/.f64 1 x)))
(.f64 (pow.f64 (pow.f64 (.f64 (/.f64 (expm1.f64 x) x) (cbrt.f64 (/.f64 (expm1.f64 x) x))) 2) 1/3) (cbrt.f64 (cbrt.f64 (/.f64 (expm1.f64 x) x))))
(*.f64 (pow.f64 (pow.f64 (/.f64 (expm1.f64 x) x) 5/2) 1/3) (pow.f64 (/.f64 (expm1.f64 x) x) 1/6))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 x (expm1.f64 x))) 2) -1) (cbrt.f64 (/.f64 (expm1.f64 x) x)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) -2) -1) (pow.f64 (/.f64 x (cbrt.f64 (expm1.f64 x))) -1))
(*.f64 (pow.f64 (pow.f64 (expm1.f64 x) -1/2) -1) (pow.f64 (/.f64 x (sqrt.f64 (expm1.f64 x))) -1))
(*.f64 (pow.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) 1) -1) (pow.f64 (/.f64 (cbrt.f64 x) (expm1.f64 x)) -1))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (pow.f64 x 2) (pow.f64 (expm1.f64 x) 2))) -1) (cbrt.f64 (/.f64 (expm1.f64 x) x)))
(*.f64 (pow.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (sqrt.f64 (expm1.f64 x))) -1) (pow.f64 (/.f64 (cbrt.f64 x) (sqrt.f64 (expm1.f64 x))) -1))
(*.f64 (pow.f64 (/.f64 (sqrt.f64 x) 1) -1) (pow.f64 (/.f64 (sqrt.f64 x) (expm1.f64 x)) -1))
(*.f64 (pow.f64 (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 (expm1.f64 x)) 2)) -1) (pow.f64 (/.f64 (sqrt.f64 x) (cbrt.f64 (expm1.f64 x))) -1))
(.f64 (cbrt.f64 (.f64 (pow.f64 (/.f64 (expm1.f64 x) x) 2) (expm1.f64 x))) (cbrt.f64 (/.f64 1 x)))
(.f64 (cbrt.f64 (pow.f64 (.f64 (/.f64 (expm1.f64 x) x) (cbrt.f64 (/.f64 (expm1.f64 x) x))) 2)) (cbrt.f64 (cbrt.f64 (/.f64 (expm1.f64 x) x))))
(*.f64 (cbrt.f64 (pow.f64 (/.f64 (expm1.f64 x) x) 5/2)) (pow.f64 (/.f64 (expm1.f64 x) x) 1/6))
(*.f64 (sqrt.f64 (pow.f64 (/.f64 (expm1.f64 x) x) 3/2)) (pow.f64 (/.f64 (expm1.f64 x) x) 1/4))
(.f64 (sqrt.f64 (.f64 (/.f64 (expm1.f64 x) x) (expm1.f64 x))) (pow.f64 x -1/2))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 (expm1.f64 x) x)) 5)) (pow.f64 (/.f64 (expm1.f64 x) x) 1/6))
(pow.f64 (/.f64 (expm1.f64 x) x) 1)
(pow.f64 (cbrt.f64 (/.f64 (expm1.f64 x) x)) 3)
(pow.f64 (pow.f64 (/.f64 (expm1.f64 x) x) 2) 1/2)
(pow.f64 (pow.f64 (/.f64 (expm1.f64 x) x) 3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 (expm1.f64 x) x)) 2)
(pow.f64 (/.f64 x (expm1.f64 x)) -1)
(pow.f64 (E.f64) (log.f64 (/.f64 (expm1.f64 x) x)))
(pow.f64 (/.f64 (/.f64 x (expm1.f64 x)) 1) -1)
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 (expm1.f64 x) x))) 2)) (cbrt.f64 (log.f64 (/.f64 (expm1.f64 x) x))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (/.f64 (expm1.f64 x) x)))) (sqrt.f64 (log.f64 (/.f64 (expm1.f64 x) x))))
(neg.f64 (/.f64 (expm1.f64 x) (neg.f64 x)))
(sqrt.f64 (pow.f64 (/.f64 (expm1.f64 x) x) 2))
(log.f64 (exp.f64 (/.f64 (expm1.f64 x) x)))
(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 (cbrt.f64 (/.f64 (expm1.f64 x) x))) 3))
(exp.f64 (.f64 (.f64 3 (log.f64 (/.f64 (expm1.f64 x) x))) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 (expm1.f64 x) x))) 2))
(exp.f64 (*.f64 (log.f64 (/.f64 x (expm1.f64 x))) -1))
(log1p.f64 (expm1.f64 (/.f64 (expm1.f64 x) x)))

Outputs
1
(+.f64 1 (*.f64 1/2 x))
(fma.f64 1/2 x 1)
(+.f64 1 (+.f64 (.f64 1/6 (pow.f64 x 2)) (.f64 1/2 x)))
(+.f64 1 (fma.f64 1/6 (pow.f64 x 2) (*.f64 1/2 x)))
(+.f64 (fma.f64 1/2 x 1) (*.f64 1/6 (pow.f64 x 2)))
(fma.f64 1/2 x (fma.f64 1/6 (pow.f64 x 2) 1))
(+.f64 1 (+.f64 (.f64 1/24 (pow.f64 x 3)) (+.f64 (.f64 1/6 (pow.f64 x 2)) (*.f64 1/2 x))))
(+.f64 1 (fma.f64 1/24 (pow.f64 x 3) (fma.f64 1/6 (pow.f64 x 2) (*.f64 1/2 x))))
(+.f64 (fma.f64 1/24 (pow.f64 x 3) (*.f64 1/6 (pow.f64 x 2))) (fma.f64 1/2 x 1))
(fma.f64 1/24 (pow.f64 x 3) (fma.f64 1/2 x (fma.f64 1/6 (pow.f64 x 2) 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 0 (/.f64 (expm1.f64 x) x))
(/.f64 (expm1.f64 x) x)
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 (expm1.f64 x) x))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (expm1.f64 x) x)))))
(*.f64 3 (log.f64 (cbrt.f64 (exp.f64 (/.f64 (expm1.f64 x) x)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (expm1.f64 x) x)))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (expm1.f64 x) x)))))
(*.f64 2 (log.f64 (sqrt.f64 (exp.f64 (/.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 (/.f64 (expm1.f64 x) x) (log.f64 (E.f64)))
(/.f64 (expm1.f64 x) x)
(*.f64 1 (/.f64 (expm1.f64 x) 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 (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 (sqrt.f64 (expm1.f64 x)) (sqrt.f64 (.f64 (/.f64 1 x) (/.f64 (expm1.f64 x) x))))
(*.f64 (sqrt.f64 (expm1.f64 x)) (sqrt.f64 (/.f64 (/.f64 (expm1.f64 x) x) x)))
(*.f64 (sqrt.f64 (expm1.f64 x)) (sqrt.f64 (/.f64 (expm1.f64 x) (pow.f64 x 2))))
(*.f64 (neg.f64 (expm1.f64 x)) (/.f64 1 (neg.f64 x)))
(/.f64 (expm1.f64 x) x)
(*.f64 (/.f64 1 x) (expm1.f64 x))
(/.f64 (expm1.f64 x) x)
(*.f64 (/.f64 1 x) (pow.f64 (/.f64 1 (expm1.f64 x)) -1))
(/.f64 (expm1.f64 x) x)
(*.f64 (pow.f64 x -1/2) (/.f64 (expm1.f64 x) (sqrt.f64 x)))
(*.f64 (pow.f64 (/.f64 (expm1.f64 x) x) 1/4) (sqrt.f64 (pow.f64 (/.f64 (expm1.f64 x) x) 3/2)))
(*.f64 (pow.f64 (/.f64 (expm1.f64 x) x) 1/4) (pow.f64 (/.f64 (expm1.f64 x) x) 3/4))
(*.f64 (pow.f64 (cbrt.f64 x) -2) (/.f64 (expm1.f64 x) (cbrt.f64 x)))
(/.f64 (pow.f64 (cbrt.f64 x) -2) (/.f64 (cbrt.f64 x) (expm1.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 (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)) (pow.f64 (cbrt.f64 x) 2)) (/.f64 (sqrt.f64 (expm1.f64 x)) (cbrt.f64 x)))
(*.f64 (pow.f64 (cbrt.f64 x) -2) (/.f64 (expm1.f64 x) (cbrt.f64 x)))
(/.f64 (pow.f64 (cbrt.f64 x) -2) (/.f64 (cbrt.f64 x) (expm1.f64 x)))
(*.f64 (pow.f64 1 1/3) (/.f64 (expm1.f64 x) x))
(/.f64 (expm1.f64 x) x)
(.f64 (pow.f64 (.f64 (pow.f64 (/.f64 (expm1.f64 x) x) 2) (expm1.f64 x)) 1/3) (cbrt.f64 (/.f64 1 x)))
(.f64 (cbrt.f64 (.f64 (expm1.f64 x) (pow.f64 (/.f64 (expm1.f64 x) x) 2))) (cbrt.f64 (/.f64 1 x)))
(*.f64 (cbrt.f64 (/.f64 (pow.f64 (expm1.f64 x) 3) (pow.f64 x 2))) (cbrt.f64 (/.f64 1 x)))
(.f64 (pow.f64 (pow.f64 (.f64 (/.f64 (expm1.f64 x) x) (cbrt.f64 (/.f64 (expm1.f64 x) x))) 2) 1/3) (cbrt.f64 (cbrt.f64 (/.f64 (expm1.f64 x) x))))
(.f64 (cbrt.f64 (pow.f64 (.f64 (/.f64 (expm1.f64 x) x) (cbrt.f64 (/.f64 (expm1.f64 x) x))) 2)) (cbrt.f64 (cbrt.f64 (/.f64 (expm1.f64 x) x))))
(*.f64 (cbrt.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 (expm1.f64 x) x)) 4) 2)) (cbrt.f64 (cbrt.f64 (/.f64 (expm1.f64 x) x))))
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (/.f64 (expm1.f64 x) x)) 8)) (cbrt.f64 (cbrt.f64 (/.f64 (expm1.f64 x) x))))
(*.f64 (pow.f64 (pow.f64 (/.f64 (expm1.f64 x) x) 5/2) 1/3) (pow.f64 (/.f64 (expm1.f64 x) x) 1/6))
(*.f64 (cbrt.f64 (pow.f64 (/.f64 (expm1.f64 x) x) 5/2)) (pow.f64 (/.f64 (expm1.f64 x) x) 1/6))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 x (expm1.f64 x))) 2) -1) (cbrt.f64 (/.f64 (expm1.f64 x) x)))
(*.f64 (cbrt.f64 (/.f64 (expm1.f64 x) x)) (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 x (expm1.f64 x))) 2)))
(/.f64 (*.f64 (cbrt.f64 (/.f64 (expm1.f64 x) x)) 1) (pow.f64 (cbrt.f64 (/.f64 x (expm1.f64 x))) 2))
(/.f64 (cbrt.f64 (/.f64 (expm1.f64 x) x)) (pow.f64 (cbrt.f64 (/.f64 x (expm1.f64 x))) 2))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) -2) -1) (pow.f64 (/.f64 x (cbrt.f64 (expm1.f64 x))) -1))
(/.f64 (expm1.f64 x) x)
(*.f64 (pow.f64 (pow.f64 (expm1.f64 x) -1/2) -1) (pow.f64 (/.f64 x (sqrt.f64 (expm1.f64 x))) -1))
(*.f64 (/.f64 1 (pow.f64 (expm1.f64 x) -1/2)) (/.f64 1 (/.f64 x (sqrt.f64 (expm1.f64 x)))))
(/.f64 (*.f64 (/.f64 (sqrt.f64 (expm1.f64 x)) x) 1) (pow.f64 (expm1.f64 x) -1/2))
(/.f64 (/.f64 (sqrt.f64 (expm1.f64 x)) x) (pow.f64 (expm1.f64 x) -1/2))
(*.f64 (pow.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) 1) -1) (pow.f64 (/.f64 (cbrt.f64 x) (expm1.f64 x)) -1))
(*.f64 (pow.f64 (cbrt.f64 x) -2) (/.f64 (expm1.f64 x) (cbrt.f64 x)))
(/.f64 (pow.f64 (cbrt.f64 x) -2) (/.f64 (cbrt.f64 x) (expm1.f64 x)))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (pow.f64 x 2) (pow.f64 (expm1.f64 x) 2))) -1) (cbrt.f64 (/.f64 (expm1.f64 x) x)))
(*.f64 (cbrt.f64 (/.f64 (expm1.f64 x) x)) (/.f64 1 (cbrt.f64 (/.f64 (pow.f64 x 2) (pow.f64 (expm1.f64 x) 2)))))
(/.f64 (*.f64 (cbrt.f64 (/.f64 (expm1.f64 x) x)) 1) (cbrt.f64 (/.f64 (pow.f64 x 2) (pow.f64 (expm1.f64 x) 2))))
(/.f64 (cbrt.f64 (/.f64 (expm1.f64 x) x)) (cbrt.f64 (/.f64 (pow.f64 x 2) (pow.f64 (expm1.f64 x) 2))))
(*.f64 (pow.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (sqrt.f64 (expm1.f64 x))) -1) (pow.f64 (/.f64 (cbrt.f64 x) (sqrt.f64 (expm1.f64 x))) -1))
(*.f64 (pow.f64 (cbrt.f64 x) -2) (/.f64 (expm1.f64 x) (cbrt.f64 x)))
(/.f64 (pow.f64 (cbrt.f64 x) -2) (/.f64 (cbrt.f64 x) (expm1.f64 x)))
(*.f64 (pow.f64 (/.f64 (sqrt.f64 x) 1) -1) (pow.f64 (/.f64 (sqrt.f64 x) (expm1.f64 x)) -1))
(/.f64 (expm1.f64 x) x)
(*.f64 (pow.f64 (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 (expm1.f64 x)) 2)) -1) (pow.f64 (/.f64 (sqrt.f64 x) (cbrt.f64 (expm1.f64 x))) -1))
(/.f64 (expm1.f64 x) x)
(.f64 (cbrt.f64 (.f64 (pow.f64 (/.f64 (expm1.f64 x) x) 2) (expm1.f64 x))) (cbrt.f64 (/.f64 1 x)))
(.f64 (cbrt.f64 (.f64 (expm1.f64 x) (pow.f64 (/.f64 (expm1.f64 x) x) 2))) (cbrt.f64 (/.f64 1 x)))
(*.f64 (cbrt.f64 (/.f64 (pow.f64 (expm1.f64 x) 3) (pow.f64 x 2))) (cbrt.f64 (/.f64 1 x)))
(.f64 (cbrt.f64 (pow.f64 (.f64 (/.f64 (expm1.f64 x) x) (cbrt.f64 (/.f64 (expm1.f64 x) x))) 2)) (cbrt.f64 (cbrt.f64 (/.f64 (expm1.f64 x) x))))
(*.f64 (cbrt.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 (expm1.f64 x) x)) 4) 2)) (cbrt.f64 (cbrt.f64 (/.f64 (expm1.f64 x) x))))
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (/.f64 (expm1.f64 x) x)) 8)) (cbrt.f64 (cbrt.f64 (/.f64 (expm1.f64 x) x))))
(*.f64 (cbrt.f64 (pow.f64 (/.f64 (expm1.f64 x) x) 5/2)) (pow.f64 (/.f64 (expm1.f64 x) x) 1/6))
(*.f64 (sqrt.f64 (pow.f64 (/.f64 (expm1.f64 x) x) 3/2)) (pow.f64 (/.f64 (expm1.f64 x) x) 1/4))
(*.f64 (pow.f64 (/.f64 (expm1.f64 x) x) 1/4) (sqrt.f64 (pow.f64 (/.f64 (expm1.f64 x) x) 3/2)))
(*.f64 (pow.f64 (/.f64 (expm1.f64 x) x) 1/4) (pow.f64 (/.f64 (expm1.f64 x) x) 3/4))
(.f64 (sqrt.f64 (.f64 (/.f64 (expm1.f64 x) x) (expm1.f64 x))) (pow.f64 x -1/2))
(*.f64 (pow.f64 x -1/2) (sqrt.f64 (/.f64 (pow.f64 (expm1.f64 x) 2) x)))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 (expm1.f64 x) x)) 5)) (pow.f64 (/.f64 (expm1.f64 x) x) 1/6))
(*.f64 (pow.f64 (/.f64 (expm1.f64 x) x) 1/6) (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 (expm1.f64 x) x)) 5)))
(*.f64 (pow.f64 (/.f64 (expm1.f64 x) x) 1/6) (pow.f64 (cbrt.f64 (/.f64 (expm1.f64 x) x)) 5/2))
(pow.f64 (/.f64 (expm1.f64 x) x) 1)
(/.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) 2) 1/2)
(/.f64 (expm1.f64 x) x)
(pow.f64 (pow.f64 (/.f64 (expm1.f64 x) x) 3) 1/3)
(/.f64 (expm1.f64 x) x)
(pow.f64 (sqrt.f64 (/.f64 (expm1.f64 x) x)) 2)
(/.f64 (expm1.f64 x) x)
(pow.f64 (/.f64 x (expm1.f64 x)) -1)
(/.f64 (expm1.f64 x) x)
(pow.f64 (E.f64) (log.f64 (/.f64 (expm1.f64 x) x)))
(/.f64 (expm1.f64 x) x)
(pow.f64 (/.f64 (/.f64 x (expm1.f64 x)) 1) -1)
(/.f64 (expm1.f64 x) x)
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 (expm1.f64 x) x))) 2)) (cbrt.f64 (log.f64 (/.f64 (expm1.f64 x) x))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (/.f64 (expm1.f64 x) x)))) (sqrt.f64 (log.f64 (/.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)
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (/.f64 (expm1.f64 x) x))) 3))
(/.f64 (expm1.f64 x) x)
(exp.f64 (.f64 (.f64 3 (log.f64 (/.f64 (expm1.f64 x) x))) 1/3))
(/.f64 (expm1.f64 x) x)
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 (expm1.f64 x) x))) 2))
(/.f64 (expm1.f64 x) x)
(exp.f64 (*.f64 (log.f64 (/.f64 x (expm1.f64 x))) -1))
(/.f64 (expm1.f64 x) x)
(log1p.f64 (expm1.f64 (/.f64 (expm1.f64 x) x)))
(/.f64 (expm1.f64 x) x)

eval22.0ms (0.6%)

Compiler: Compiled 1124 to 513 computations (54.4% saved)

prune14.0ms (0.4%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	94	5	99
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	94	6	100

Accuracy

100.0%

Counts

100 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(pow.f64 (/.f64 x (expm1.f64 x)) -1)
✓	100.0%	(/.f64 (expm1.f64 x) x)
▶	78.2%	(-.f64 (+.f64 1 (/.f64 (expm1.f64 x) x)) 1)
▶	52.3%	(+.f64 1 (*.f64 1/2 x))
▶	99.8%	(*.f64 (/.f64 1 x) (expm1.f64 x))
	52.1%	1
▶	100.0%	(pow.f64 (/.f64 x (expm1.f64 x)) -1)
✓	100.0%	(/.f64 (expm1.f64 x) x)
▶	78.2%	(-.f64 (+.f64 1 (/.f64 (expm1.f64 x) x)) 1)
▶	52.3%	(+.f64 1 (*.f64 1/2 x))
▶	99.8%	(*.f64 (/.f64 1 x) (expm1.f64 x))
	52.1%	1

Compiler

Compiled 72 to 54 computations (25% saved)

localize236.0ms (6.8%)

Localize:

Found 6 expressions with local error:

New	Accuracy	Program
✓	100.0%	(pow.f64 (/.f64 x (expm1.f64 x)) -1)
✓	100.0%	(/.f64 x (expm1.f64 x))
✓	100.0%	(+.f64 1 (/.f64 (expm1.f64 x) x))
	100.0%	(/.f64 (expm1.f64 x) x)
✓	78.2%	(-.f64 (+.f64 1 (/.f64 (expm1.f64 x) x)) 1)
✓	99.8%	(*.f64 (/.f64 1 x) (expm1.f64 x))

Compiler

Compiled 62 to 29 computations (53.2% saved)

series29.0ms (0.9%)

Counts

5 → 60

Calls

15 calls:

Time	Variable		Point	Expression
22.0ms	x	@	-inf	(-.f64 (+.f64 1 (/.f64 (expm1.f64 x) x)) 1)
4.0ms	x	@	inf	(/.f64 x (expm1.f64 x))
1.0ms	x	@	-inf	(/.f64 x (expm1.f64 x))
1.0ms	x	@	-inf	(pow.f64 (/.f64 x (expm1.f64 x)) -1)
0.0ms	x	@	inf	(pow.f64 (/.f64 x (expm1.f64 x)) -1)

rewrite138.0ms (4%)

Algorithm

1×	batch-egg-rewrite

Rules

1738×	`prod-diff`
1136×	`fma-def`
845×	`log1p-expm1-u`
844×	`expm1-log1p-u`
258×	`expm1-udef`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	91
1	228	91
2	2731	91

Stop Event

1×	node limit

Counts

5 → 425

Calls

Call 1

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

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

simplify197.0ms (5.7%)

Algorithm

1×	egg-herbie

Rules

772×	`div-sub`
538×	`log-prod`
454×	`exp-prod`
436×	`cube-prod`
356×	`sub-neg`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	426	14395
1	970	14019
2	3734	14019

Stop Event

1×	node limit

Counts

485 → 294

Calls

Call 1

Inputs
1
(+.f64 1 (*.f64 1/2 x))
(+.f64 1 (+.f64 (.f64 1/6 (pow.f64 x 2)) (.f64 1/2 x)))
(+.f64 1 (+.f64 (.f64 1/24 (pow.f64 x 3)) (+.f64 (.f64 1/6 (pow.f64 x 2)) (*.f64 1/2 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 (exp.f64 x) 1) x)
1
(+.f64 1 (*.f64 1/2 x))
(+.f64 1 (+.f64 (.f64 1/6 (pow.f64 x 2)) (.f64 1/2 x)))
(+.f64 1 (+.f64 (.f64 1/24 (pow.f64 x 3)) (+.f64 (.f64 1/6 (pow.f64 x 2)) (*.f64 1/2 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 (exp.f64 x) 1) x)
2
(+.f64 2 (*.f64 1/2 x))
(+.f64 2 (+.f64 (.f64 1/6 (pow.f64 x 2)) (.f64 1/2 x)))
(+.f64 2 (+.f64 (.f64 1/24 (pow.f64 x 3)) (+.f64 (.f64 1/6 (pow.f64 x 2)) (*.f64 1/2 x))))
1
(-.f64 (+.f64 1 (/.f64 (exp.f64 x) x)) (/.f64 1 x))
(-.f64 (+.f64 1 (/.f64 (exp.f64 x) x)) (/.f64 1 x))
(-.f64 (+.f64 1 (/.f64 (exp.f64 x) x)) (/.f64 1 x))
1
(-.f64 (+.f64 1 (/.f64 (exp.f64 x) x)) (/.f64 1 x))
(-.f64 (+.f64 1 (/.f64 (exp.f64 x) x)) (/.f64 1 x))
(-.f64 (+.f64 1 (/.f64 (exp.f64 x) x)) (/.f64 1 x))
1
(+.f64 1 (*.f64 -1/2 x))
(+.f64 1 (+.f64 (.f64 -1/2 x) (.f64 1/12 (pow.f64 x 2))))
(+.f64 1 (+.f64 (.f64 -1/2 x) (+.f64 (.f64 -1/720 (pow.f64 x 4)) (*.f64 1/12 (pow.f64 x 2)))))
(/.f64 x (-.f64 (exp.f64 x) 1))
(/.f64 x (-.f64 (exp.f64 x) 1))
(/.f64 x (-.f64 (exp.f64 x) 1))
(/.f64 x (-.f64 (exp.f64 x) 1))
(/.f64 x (-.f64 (exp.f64 x) 1))
(/.f64 x (-.f64 (exp.f64 x) 1))
(/.f64 x (-.f64 (exp.f64 x) 1))
(/.f64 x (-.f64 (exp.f64 x) 1))
1
(+.f64 1 (*.f64 1/2 x))
(+.f64 1 (+.f64 (.f64 1/6 (pow.f64 x 2)) (.f64 1/2 x)))
(+.f64 1 (+.f64 (.f64 1/24 (pow.f64 x 3)) (+.f64 (.f64 1/6 (pow.f64 x 2)) (*.f64 1/2 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 (exp.f64 x) 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 -1 (+.f64 1 (/.f64 (expm1.f64 x) x)))
(+.f64 (+.f64 (/.f64 (expm1.f64 x) x) -1) 1)
(-.f64 (+.f64 1 (/.f64 (expm1.f64 x) x)) 1)
(-.f64 (/.f64 (exp.f64 x) x) (/.f64 1 x))
(-.f64 (/.f64 (pow.f64 (+.f64 1 (/.f64 (expm1.f64 x) x)) 3) (+.f64 (pow.f64 (+.f64 1 (/.f64 (expm1.f64 x) x)) 2) (+.f64 (/.f64 (expm1.f64 x) x) 2))) (/.f64 1 (+.f64 (pow.f64 (+.f64 1 (/.f64 (expm1.f64 x) x)) 2) (+.f64 (/.f64 (expm1.f64 x) x) 2))))
(-.f64 (/.f64 (pow.f64 (+.f64 1 (/.f64 (expm1.f64 x) x)) 2) (+.f64 (/.f64 (expm1.f64 x) x) 2)) (/.f64 1 (+.f64 (/.f64 (expm1.f64 x) x) 2)))
(/.f64 1 (/.f64 x (expm1.f64 x)))
(/.f64 1 (/.f64 (/.f64 x (expm1.f64 x)) 1))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 (expm1.f64 x) x)) 2) (+.f64 (/.f64 (expm1.f64 x) x) 2)) (expm1.f64 (*.f64 (log1p.f64 (/.f64 (expm1.f64 x) x)) 3))))
(/.f64 1 (/.f64 (+.f64 (/.f64 (expm1.f64 x) x) 2) (+.f64 (pow.f64 (+.f64 1 (/.f64 (expm1.f64 x) x)) 2) -1)))
(/.f64 (/.f64 1 x) (/.f64 1 (expm1.f64 x)))
(/.f64 (expm1.f64 x) x)
(/.f64 -1 (neg.f64 (/.f64 x (expm1.f64 x))))
(/.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) 2) (/.f64 x (cbrt.f64 (expm1.f64 x))))
(/.f64 (sqrt.f64 (/.f64 (expm1.f64 x) x)) (sqrt.f64 (/.f64 x (expm1.f64 x))))
(/.f64 (sqrt.f64 (expm1.f64 x)) (/.f64 x (sqrt.f64 (expm1.f64 x))))
(/.f64 (neg.f64 (expm1.f64 x)) (neg.f64 x))
(/.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 (expm1.f64 x) x)) 3)) (+.f64 (pow.f64 (+.f64 1 (/.f64 (expm1.f64 x) x)) 2) (+.f64 (/.f64 (expm1.f64 x) x) 2)))
(/.f64 (expm1.f64 (.f64 (log1p.f64 (/.f64 (expm1.f64 x) x)) 3)) (+.f64 (pow.f64 (+.f64 1 (/.f64 (expm1.f64 x) x)) 2) (-.f64 1 (.f64 (+.f64 1 (/.f64 (expm1.f64 x) x)) -1))))
(/.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 (expm1.f64 x) x)) 2) -1) (+.f64 (/.f64 (expm1.f64 x) x) 2))
(/.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 (expm1.f64 x) x)) 2) -1) (-.f64 (+.f64 1 (/.f64 (expm1.f64 x) x)) -1))
(/.f64 (neg.f64 (neg.f64 (expm1.f64 x))) (neg.f64 (neg.f64 x)))
(/.f64 (neg.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 (expm1.f64 x) x)) 3))) (neg.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 (expm1.f64 x) x)) 2) (+.f64 (/.f64 (expm1.f64 x) x) 2))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 (expm1.f64 x) x)) 2) -1)) (neg.f64 (+.f64 (/.f64 (expm1.f64 x) x) 2)))
(/.f64 (/.f64 (expm1.f64 x) (sqrt.f64 x)) (sqrt.f64 x))
(/.f64 (+.f64 1 (pow.f64 (+.f64 (/.f64 (expm1.f64 x) x) -1) 3)) (+.f64 1 (-.f64 (*.f64 (+.f64 (/.f64 (expm1.f64 x) x) -1) (+.f64 (/.f64 (expm1.f64 x) x) -1)) (+.f64 (/.f64 (expm1.f64 x) x) -1))))
(/.f64 (/.f64 (expm1.f64 x) 1) x)
(/.f64 (-.f64 1 (*.f64 (+.f64 (/.f64 (expm1.f64 x) x) -1) (+.f64 (/.f64 (expm1.f64 x) x) -1))) (-.f64 1 (+.f64 (/.f64 (expm1.f64 x) x) -1)))
(/.f64 (*.f64 (expm1.f64 x) -1) (neg.f64 x))
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(/.f64 (sqrt.f64 (expm1.f64 x)) (/.f64 x (sqrt.f64 (expm1.f64 x))))
(/.f64 (neg.f64 (expm1.f64 x)) (neg.f64 x))
(/.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 (expm1.f64 x) x)) 3)) (+.f64 (pow.f64 (+.f64 1 (/.f64 (expm1.f64 x) x)) 2) (+.f64 (/.f64 (expm1.f64 x) x) 2)))
(/.f64 (expm1.f64 (.f64 (log1p.f64 (/.f64 (expm1.f64 x) x)) 3)) (+.f64 (pow.f64 (+.f64 1 (/.f64 (expm1.f64 x) x)) 2) (-.f64 1 (.f64 (+.f64 1 (/.f64 (expm1.f64 x) x)) -1))))
(/.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 (expm1.f64 x) x)) 2) -1) (+.f64 (/.f64 (expm1.f64 x) x) 2))
(/.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 (expm1.f64 x) x)) 2) -1) (-.f64 (+.f64 1 (/.f64 (expm1.f64 x) x)) -1))
(/.f64 (neg.f64 (neg.f64 (expm1.f64 x))) (neg.f64 (neg.f64 x)))
(/.f64 (neg.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 (expm1.f64 x) x)) 3))) (neg.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 (expm1.f64 x) x)) 2) (+.f64 (/.f64 (expm1.f64 x) x) 2))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 (expm1.f64 x) x)) 2) -1)) (neg.f64 (+.f64 (/.f64 (expm1.f64 x) x) 2)))
(/.f64 (/.f64 (expm1.f64 x) (sqrt.f64 x)) (sqrt.f64 x))
(/.f64 (+.f64 1 (pow.f64 (+.f64 (/.f64 (expm1.f64 x) x) -1) 3)) (+.f64 1 (-.f64 (*.f64 (+.f64 (/.f64 (expm1.f64 x) x) -1) (+.f64 (/.f64 (expm1.f64 x) x) -1)) (+.f64 (/.f64 (expm1.f64 x) x) -1))))
(/.f64 (/.f64 (expm1.f64 x) 1) x)
(/.f64 (-.f64 1 (*.f64 (+.f64 (/.f64 (expm1.f64 x) x) -1) (+.f64 (/.f64 (expm1.f64 x) x) -1))) (-.f64 1 (+.f64 (/.f64 (expm1.f64 x) x) -1)))
(/.f64 (*.f64 (expm1.f64 x) -1) (neg.f64 x))
(/.f64 (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 x (expm1.f64 x))) 2)) (cbrt.f64 (/.f64 x (expm1.f64 x))))
(/.f64 (/.f64 (expm1.f64 x) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))
(neg.f64 (/.f64 (expm1.f64 x) (neg.f64 x)))
(sqrt.f64 (pow.f64 (/.f64 (expm1.f64 x) x) 2))
(log.f64 (exp.f64 (/.f64 (expm1.f64 x) x)))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (expm1.f64 x) x))))
(cbrt.f64 (pow.f64 (/.f64 (expm1.f64 x) x) 3))
(expm1.f64 (log1p.f64 (/.f64 (expm1.f64 x) x)))
(hypot.f64 (sqrt.f64 (/.f64 (expm1.f64 x) x)) (sqrt.f64 (-.f64 (pow.f64 (/.f64 (expm1.f64 x) x) 2) (/.f64 (expm1.f64 x) x))))
(hypot.f64 (pow.f64 (sqrt.f64 (/.f64 x (expm1.f64 x))) -1) (sqrt.f64 (-.f64 (pow.f64 (/.f64 (expm1.f64 x) x) 2) (/.f64 (expm1.f64 x) x))))
(exp.f64 (log.f64 (/.f64 (expm1.f64 x) x)))
(log1p.f64 (expm1.f64 (/.f64 (expm1.f64 x) x)))
(fma.f64 1 (/.f64 (expm1.f64 x) x) 0)
(fma.f64 1 (+.f64 1 (/.f64 (expm1.f64 x) x)) -1)
(fma.f64 1 (+.f64 (/.f64 (expm1.f64 x) x) -1) 1)
(fma.f64 (/.f64 1 x) (expm1.f64 x) 0)
(fma.f64 (/.f64 1 x) (pow.f64 (/.f64 1 (expm1.f64 x)) -1) 0)
(fma.f64 (expm1.f64 x) (/.f64 1 x) 0)
(fma.f64 (/.f64 (expm1.f64 x) x) 1 0)
(fma.f64 (+.f64 1 (/.f64 (expm1.f64 x) x)) 1 -1)
(fma.f64 (cbrt.f64 (+.f64 1 (/.f64 (expm1.f64 x) x))) (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 (expm1.f64 x) x))) 2) -1)
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 (expm1.f64 x) x))) 2) (cbrt.f64 (+.f64 1 (/.f64 (expm1.f64 x) x))) -1)
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 (expm1.f64 x) x))) 2) (*.f64 (cbrt.f64 (+.f64 1 (/.f64 (expm1.f64 x) x))) 1) -1)
(fma.f64 (cbrt.f64 (/.f64 (expm1.f64 x) x)) (pow.f64 (cbrt.f64 (/.f64 (expm1.f64 x) x)) 2) 0)
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 (expm1.f64 x) x)) 2) (cbrt.f64 (/.f64 (expm1.f64 x) x)) 0)
(fma.f64 (cbrt.f64 (pow.f64 x -2)) (*.f64 (/.f64 1 (cbrt.f64 x)) (expm1.f64 x)) 0)
(fma.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) 2) (*.f64 (cbrt.f64 (expm1.f64 x)) (/.f64 1 x)) 0)
(fma.f64 (hypot.f64 1 (sqrt.f64 (/.f64 (expm1.f64 x) x))) (hypot.f64 1 (sqrt.f64 (/.f64 (expm1.f64 x) x))) -1)
(fma.f64 (hypot.f64 1 (sqrt.f64 (/.f64 (expm1.f64 x) x))) (*.f64 (hypot.f64 1 (sqrt.f64 (/.f64 (expm1.f64 x) x))) 1) -1)
(fma.f64 (sqrt.f64 (/.f64 (expm1.f64 x) x)) (sqrt.f64 (/.f64 (expm1.f64 x) x)) 0)
(fma.f64 (pow.f64 x -1/2) (/.f64 (expm1.f64 x) (sqrt.f64 x)) 0)
(fma.f64 (pow.f64 x -1/2) (*.f64 (pow.f64 x -1/2) (expm1.f64 x)) 0)
(fma.f64 (sqrt.f64 (expm1.f64 x)) (*.f64 (sqrt.f64 (expm1.f64 x)) (/.f64 1 x)) 0)
(fma.f64 (neg.f64 (expm1.f64 x)) (/.f64 1 (neg.f64 x)) 0)
(fma.f64 (+.f64 1 (pow.f64 (/.f64 (expm1.f64 x) x) 3)) (/.f64 1 (fma.f64 (/.f64 (expm1.f64 x) x) (+.f64 (/.f64 (expm1.f64 x) x) -1) 1)) -1)
(fma.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 (expm1.f64 x) x)) 3)) (/.f64 1 (+.f64 (pow.f64 (+.f64 1 (/.f64 (expm1.f64 x) x)) 2) (+.f64 (/.f64 (expm1.f64 x) x) 2))) 0)
(fma.f64 (-.f64 1 (pow.f64 (/.f64 (expm1.f64 x) x) 2)) (/.f64 1 (-.f64 1 (/.f64 (expm1.f64 x) x))) -1)
(fma.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 (expm1.f64 x) x)) 2) -1) (/.f64 1 (+.f64 (/.f64 (expm1.f64 x) x) 2)) 0)
(fma.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 x (expm1.f64 x))) 2) -1) (pow.f64 (cbrt.f64 (/.f64 x (expm1.f64 x))) -1) 0)
(fma.f64 (pow.f64 (sqrt.f64 (/.f64 x (expm1.f64 x))) -1) (pow.f64 (sqrt.f64 (/.f64 x (expm1.f64 x))) -1) 0)
(fma.f64 (*.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)) 1)
(fma.f64 (sqrt.f64 (+.f64 (/.f64 (expm1.f64 x) x) -1)) (sqrt.f64 (+.f64 (/.f64 (expm1.f64 x) x) -1)) 1)
(fma.f64 (/.f64 1 (pow.f64 (cbrt.f64 x) 2)) (/.f64 (expm1.f64 x) (cbrt.f64 x)) 0)
(fma.f64 (/.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) 2) 1) (/.f64 (cbrt.f64 (expm1.f64 x)) x) 0)
(fma.f64 (/.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) 2) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 (/.f64 (expm1.f64 x) x)) 0)
(fma.f64 (/.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) 2) (sqrt.f64 x)) (/.f64 (cbrt.f64 (expm1.f64 x)) (sqrt.f64 x)) 0)
(fma.f64 (/.f64 (sqrt.f64 (expm1.f64 x)) 1) (/.f64 (sqrt.f64 (expm1.f64 x)) x) 0)
(fma.f64 (/.f64 (sqrt.f64 (expm1.f64 x)) (pow.f64 (cbrt.f64 x) 2)) (/.f64 (sqrt.f64 (expm1.f64 x)) (cbrt.f64 x)) 0)
(fma.f64 (/.f64 1 (neg.f64 x)) (neg.f64 (expm1.f64 x)) 0)
(fma.f64 (+.f64 (sqrt.f64 (/.f64 (expm1.f64 x) x)) 1) (-.f64 (sqrt.f64 (/.f64 (expm1.f64 x) x)) 1) 1)
(fma.f64 (+.f64 (hypot.f64 1 (sqrt.f64 (/.f64 (expm1.f64 x) x))) 1) (-.f64 (hypot.f64 1 (sqrt.f64 (/.f64 (expm1.f64 x) x))) 1) 0)
(fma.f64 (*.f64 (/.f64 1 x) (pow.f64 (cbrt.f64 (expm1.f64 x)) 2)) (cbrt.f64 (expm1.f64 x)) 0)
(fma.f64 (*.f64 (/.f64 1 x) (sqrt.f64 (expm1.f64 x))) (sqrt.f64 (expm1.f64 x)) 0)
(fma.f64 (*.f64 (expm1.f64 x) (cbrt.f64 (pow.f64 x -2))) (/.f64 1 (cbrt.f64 x)) 0)
(fma.f64 (*.f64 (expm1.f64 x) (pow.f64 x -1/2)) (pow.f64 x -1/2) 0)

Outputs
1
(+.f64 1 (*.f64 1/2 x))
(fma.f64 1/2 x 1)
(+.f64 1 (+.f64 (.f64 1/6 (pow.f64 x 2)) (.f64 1/2 x)))
(+.f64 1 (fma.f64 1/6 (pow.f64 x 2) (*.f64 1/2 x)))
(+.f64 1 (fma.f64 1/2 x (*.f64 1/6 (pow.f64 x 2))))
(+.f64 (fma.f64 1/2 x 1) (*.f64 1/6 (pow.f64 x 2)))
(+.f64 1 (+.f64 (.f64 1/24 (pow.f64 x 3)) (+.f64 (.f64 1/6 (pow.f64 x 2)) (*.f64 1/2 x))))
(+.f64 1 (fma.f64 1/24 (pow.f64 x 3) (fma.f64 1/6 (pow.f64 x 2) (*.f64 1/2 x))))
(+.f64 (fma.f64 1/24 (pow.f64 x 3) (*.f64 1/6 (pow.f64 x 2))) (fma.f64 1/2 x 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)
1
(+.f64 1 (*.f64 1/2 x))
(fma.f64 1/2 x 1)
(+.f64 1 (+.f64 (.f64 1/6 (pow.f64 x 2)) (.f64 1/2 x)))
(+.f64 1 (fma.f64 1/6 (pow.f64 x 2) (*.f64 1/2 x)))
(+.f64 1 (fma.f64 1/2 x (*.f64 1/6 (pow.f64 x 2))))
(+.f64 (fma.f64 1/2 x 1) (*.f64 1/6 (pow.f64 x 2)))
(+.f64 1 (+.f64 (.f64 1/24 (pow.f64 x 3)) (+.f64 (.f64 1/6 (pow.f64 x 2)) (*.f64 1/2 x))))
(+.f64 1 (fma.f64 1/24 (pow.f64 x 3) (fma.f64 1/6 (pow.f64 x 2) (*.f64 1/2 x))))
(+.f64 (fma.f64 1/24 (pow.f64 x 3) (*.f64 1/6 (pow.f64 x 2))) (fma.f64 1/2 x 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)
2
(+.f64 2 (*.f64 1/2 x))
(+.f64 (*.f64 1/2 x) 2)
(fma.f64 1/2 x 2)
(+.f64 2 (+.f64 (.f64 1/6 (pow.f64 x 2)) (.f64 1/2 x)))
(+.f64 2 (fma.f64 1/6 (pow.f64 x 2) (*.f64 1/2 x)))
(+.f64 2 (fma.f64 1/2 x (*.f64 1/6 (pow.f64 x 2))))
(+.f64 (*.f64 1/6 (pow.f64 x 2)) (fma.f64 1/2 x 2))
(+.f64 2 (+.f64 (.f64 1/24 (pow.f64 x 3)) (+.f64 (.f64 1/6 (pow.f64 x 2)) (*.f64 1/2 x))))
(+.f64 2 (fma.f64 1/24 (pow.f64 x 3) (fma.f64 1/6 (pow.f64 x 2) (*.f64 1/2 x))))
(+.f64 (fma.f64 1/24 (pow.f64 x 3) (*.f64 1/6 (pow.f64 x 2))) (fma.f64 1/2 x 2))
1
(-.f64 (+.f64 1 (/.f64 (exp.f64 x) x)) (/.f64 1 x))
(+.f64 1 (/.f64 (expm1.f64 x) x))
(-.f64 (+.f64 1 (/.f64 (exp.f64 x) x)) (/.f64 1 x))
(+.f64 1 (/.f64 (expm1.f64 x) x))
(-.f64 (+.f64 1 (/.f64 (exp.f64 x) x)) (/.f64 1 x))
(+.f64 1 (/.f64 (expm1.f64 x) x))
1
(-.f64 (+.f64 1 (/.f64 (exp.f64 x) x)) (/.f64 1 x))
(+.f64 1 (/.f64 (expm1.f64 x) x))
(-.f64 (+.f64 1 (/.f64 (exp.f64 x) x)) (/.f64 1 x))
(+.f64 1 (/.f64 (expm1.f64 x) x))
(-.f64 (+.f64 1 (/.f64 (exp.f64 x) x)) (/.f64 1 x))
(+.f64 1 (/.f64 (expm1.f64 x) x))
1
(+.f64 1 (*.f64 -1/2 x))
(+.f64 1 (*.f64 x -1/2))
(fma.f64 x -1/2 1)
(+.f64 1 (+.f64 (.f64 -1/2 x) (.f64 1/12 (pow.f64 x 2))))
(+.f64 1 (fma.f64 -1/2 x (*.f64 (pow.f64 x 2) 1/12)))
(+.f64 1 (fma.f64 x -1/2 (*.f64 (pow.f64 x 2) 1/12)))
(+.f64 (fma.f64 x -1/2 1) (*.f64 (pow.f64 x 2) 1/12))
(+.f64 1 (+.f64 (.f64 -1/2 x) (+.f64 (.f64 -1/720 (pow.f64 x 4)) (*.f64 1/12 (pow.f64 x 2)))))
(+.f64 1 (fma.f64 -1/2 x (fma.f64 -1/720 (pow.f64 x 4) (*.f64 (pow.f64 x 2) 1/12))))
(+.f64 1 (fma.f64 x -1/2 (fma.f64 (pow.f64 x 2) 1/12 (*.f64 -1/720 (pow.f64 x 4)))))
(+.f64 (fma.f64 x -1/2 1) (fma.f64 (pow.f64 x 2) 1/12 (*.f64 -1/720 (pow.f64 x 4))))
(/.f64 x (-.f64 (exp.f64 x) 1))
(/.f64 x (expm1.f64 x))
(/.f64 x (-.f64 (exp.f64 x) 1))
(/.f64 x (expm1.f64 x))
(/.f64 x (-.f64 (exp.f64 x) 1))
(/.f64 x (expm1.f64 x))
(/.f64 x (-.f64 (exp.f64 x) 1))
(/.f64 x (expm1.f64 x))
(/.f64 x (-.f64 (exp.f64 x) 1))
(/.f64 x (expm1.f64 x))
(/.f64 x (-.f64 (exp.f64 x) 1))
(/.f64 x (expm1.f64 x))
(/.f64 x (-.f64 (exp.f64 x) 1))
(/.f64 x (expm1.f64 x))
(/.f64 x (-.f64 (exp.f64 x) 1))
(/.f64 x (expm1.f64 x))
1
(+.f64 1 (*.f64 1/2 x))
(fma.f64 1/2 x 1)
(+.f64 1 (+.f64 (.f64 1/6 (pow.f64 x 2)) (.f64 1/2 x)))
(+.f64 1 (fma.f64 1/6 (pow.f64 x 2) (*.f64 1/2 x)))
(+.f64 1 (fma.f64 1/2 x (*.f64 1/6 (pow.f64 x 2))))
(+.f64 (fma.f64 1/2 x 1) (*.f64 1/6 (pow.f64 x 2)))
(+.f64 1 (+.f64 (.f64 1/24 (pow.f64 x 3)) (+.f64 (.f64 1/6 (pow.f64 x 2)) (*.f64 1/2 x))))
(+.f64 1 (fma.f64 1/24 (pow.f64 x 3) (fma.f64 1/6 (pow.f64 x 2) (*.f64 1/2 x))))
(+.f64 (fma.f64 1/24 (pow.f64 x 3) (*.f64 1/6 (pow.f64 x 2))) (fma.f64 1/2 x 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 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 -1 (+.f64 1 (/.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 (+.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 (/.f64 (pow.f64 (+.f64 1 (/.f64 (expm1.f64 x) x)) 3) (+.f64 (pow.f64 (+.f64 1 (/.f64 (expm1.f64 x) x)) 2) (+.f64 (/.f64 (expm1.f64 x) x) 2))) (/.f64 1 (+.f64 (pow.f64 (+.f64 1 (/.f64 (expm1.f64 x) x)) 2) (+.f64 (/.f64 (expm1.f64 x) x) 2))))
(-.f64 (/.f64 (pow.f64 (+.f64 1 (/.f64 (expm1.f64 x) x)) 3) (+.f64 (pow.f64 (+.f64 1 (/.f64 (expm1.f64 x) x)) 2) (+.f64 2 (/.f64 (expm1.f64 x) x)))) (/.f64 1 (+.f64 (pow.f64 (+.f64 1 (/.f64 (expm1.f64 x) x)) 2) (+.f64 2 (/.f64 (expm1.f64 x) x)))))
(+.f64 (/.f64 (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 -1 (+.f64 2 (+.f64 (/.f64 (expm1.f64 x) x) (pow.f64 (+.f64 1 (/.f64 (expm1.f64 x) x)) 2)))))
(-.f64 (/.f64 (pow.f64 (+.f64 1 (/.f64 (expm1.f64 x) x)) 2) (+.f64 (/.f64 (expm1.f64 x) x) 2)) (/.f64 1 (+.f64 (/.f64 (expm1.f64 x) x) 2)))
(-.f64 (/.f64 (pow.f64 (+.f64 1 (/.f64 (expm1.f64 x) x)) 2) (+.f64 2 (/.f64 (expm1.f64 x) x))) (/.f64 1 (+.f64 2 (/.f64 (expm1.f64 x) x))))
(+.f64 (/.f64 (pow.f64 (+.f64 1 (/.f64 (expm1.f64 x) x)) 2) (+.f64 2 (/.f64 (expm1.f64 x) x))) (/.f64 -1 (+.f64 2 (/.f64 (expm1.f64 x) x))))
(/.f64 1 (/.f64 x (expm1.f64 x)))
(/.f64 (expm1.f64 x) x)
(/.f64 1 (/.f64 (/.f64 x (expm1.f64 x)) 1))
(/.f64 (expm1.f64 x) x)
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(/.f64 (/.f64 1 x) (/.f64 1 (expm1.f64 x)))
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(/.f64 (expm1.f64 x) x)
(/.f64 -1 (neg.f64 (/.f64 x (expm1.f64 x))))
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(/.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) 2) (/.f64 x (cbrt.f64 (expm1.f64 x))))
(/.f64 (expm1.f64 x) x)
(/.f64 (sqrt.f64 (/.f64 (expm1.f64 x) x)) (sqrt.f64 (/.f64 x (expm1.f64 x))))
(/.f64 (sqrt.f64 (expm1.f64 x)) (/.f64 x (sqrt.f64 (expm1.f64 x))))
(/.f64 (expm1.f64 x) x)
(/.f64 (neg.f64 (expm1.f64 x)) (neg.f64 x))
(/.f64 (expm1.f64 x) x)
(/.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 (expm1.f64 x) x)) 3)) (+.f64 (pow.f64 (+.f64 1 (/.f64 (expm1.f64 x) x)) 2) (+.f64 (/.f64 (expm1.f64 x) x) 2)))
(.f64 (/.f64 1 (+.f64 (pow.f64 (+.f64 1 (/.f64 (expm1.f64 x) x)) 2) (+.f64 2 (/.f64 (expm1.f64 x) x)))) (expm1.f64 (.f64 3 (log1p.f64 (/.f64 (expm1.f64 x) x)))))
(/.f64 (expm1.f64 (*.f64 3 (log1p.f64 (/.f64 (expm1.f64 x) x)))) (+.f64 2 (+.f64 (/.f64 (expm1.f64 x) x) (pow.f64 (+.f64 1 (/.f64 (expm1.f64 x) x)) 2))))
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(.f64 (/.f64 1 (+.f64 (pow.f64 (+.f64 1 (/.f64 (expm1.f64 x) x)) 2) (+.f64 2 (/.f64 (expm1.f64 x) x)))) (expm1.f64 (.f64 3 (log1p.f64 (/.f64 (expm1.f64 x) x)))))
(/.f64 (expm1.f64 (*.f64 3 (log1p.f64 (/.f64 (expm1.f64 x) x)))) (+.f64 2 (+.f64 (/.f64 (expm1.f64 x) x) (pow.f64 (+.f64 1 (/.f64 (expm1.f64 x) x)) 2))))
(/.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 (expm1.f64 x) x)) 2) -1) (+.f64 (/.f64 (expm1.f64 x) x) 2))
(*.f64 (/.f64 1 (+.f64 2 (/.f64 (expm1.f64 x) x))) (+.f64 -1 (pow.f64 (+.f64 1 (/.f64 (expm1.f64 x) x)) 2)))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 1 (/.f64 (expm1.f64 x) x)) 2)) (+.f64 2 (/.f64 (expm1.f64 x) x)))
(/.f64 (-.f64 1 (pow.f64 (+.f64 1 (/.f64 (expm1.f64 x) x)) 2)) (-.f64 -2 (/.f64 (expm1.f64 x) x)))
(/.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 (expm1.f64 x) x)) 2) -1) (-.f64 (+.f64 1 (/.f64 (expm1.f64 x) x)) -1))
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(/.f64 (+.f64 -1 (pow.f64 (+.f64 1 (/.f64 (expm1.f64 x) x)) 2)) (+.f64 2 (/.f64 (expm1.f64 x) x)))
(/.f64 (-.f64 1 (pow.f64 (+.f64 1 (/.f64 (expm1.f64 x) x)) 2)) (-.f64 -2 (/.f64 (expm1.f64 x) x)))
(/.f64 (neg.f64 (neg.f64 (expm1.f64 x))) (neg.f64 (neg.f64 x)))
(/.f64 (expm1.f64 x) x)
(/.f64 (neg.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 (expm1.f64 x) x)) 3))) (neg.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 (expm1.f64 x) x)) 2) (+.f64 (/.f64 (expm1.f64 x) x) 2))))
(.f64 (/.f64 1 (+.f64 (pow.f64 (+.f64 1 (/.f64 (expm1.f64 x) x)) 2) (+.f64 2 (/.f64 (expm1.f64 x) x)))) (expm1.f64 (.f64 3 (log1p.f64 (/.f64 (expm1.f64 x) x)))))
(/.f64 (expm1.f64 (*.f64 3 (log1p.f64 (/.f64 (expm1.f64 x) x)))) (+.f64 2 (+.f64 (/.f64 (expm1.f64 x) x) (pow.f64 (+.f64 1 (/.f64 (expm1.f64 x) x)) 2))))
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(/.f64 (+.f64 -1 (pow.f64 (+.f64 1 (/.f64 (expm1.f64 x) x)) 2)) (+.f64 2 (/.f64 (expm1.f64 x) x)))
(/.f64 (-.f64 1 (pow.f64 (+.f64 1 (/.f64 (expm1.f64 x) x)) 2)) (-.f64 -2 (/.f64 (expm1.f64 x) x)))
(/.f64 (/.f64 (expm1.f64 x) (sqrt.f64 x)) (sqrt.f64 x))
(/.f64 (expm1.f64 x) x)
(/.f64 (+.f64 1 (pow.f64 (+.f64 (/.f64 (expm1.f64 x) x) -1) 3)) (+.f64 1 (-.f64 (*.f64 (+.f64 (/.f64 (expm1.f64 x) x) -1) (+.f64 (/.f64 (expm1.f64 x) x) -1)) (+.f64 (/.f64 (expm1.f64 x) x) -1))))
(/.f64 (+.f64 1 (pow.f64 (+.f64 (/.f64 (expm1.f64 x) x) -1) 3)) (-.f64 (+.f64 1 (*.f64 (+.f64 (/.f64 (expm1.f64 x) x) -1) (+.f64 (/.f64 (expm1.f64 x) x) -1))) (+.f64 (/.f64 (expm1.f64 x) x) -1)))
(/.f64 (+.f64 1 (pow.f64 (+.f64 (/.f64 (expm1.f64 x) x) -1) 3)) (-.f64 (fma.f64 (+.f64 (/.f64 (expm1.f64 x) x) -1) (+.f64 (/.f64 (expm1.f64 x) x) -1) (/.f64 (expm1.f64 x) (neg.f64 x))) -2))
(/.f64 (+.f64 1 (pow.f64 (+.f64 (/.f64 (expm1.f64 x) x) -1) 3)) (+.f64 (fma.f64 (+.f64 (/.f64 (expm1.f64 x) x) -1) (+.f64 (/.f64 (expm1.f64 x) x) -1) (/.f64 (expm1.f64 x) (neg.f64 x))) 2))
(/.f64 (/.f64 (expm1.f64 x) 1) x)
(/.f64 (expm1.f64 x) x)
(/.f64 (-.f64 1 (*.f64 (+.f64 (/.f64 (expm1.f64 x) x) -1) (+.f64 (/.f64 (expm1.f64 x) x) -1))) (-.f64 1 (+.f64 (/.f64 (expm1.f64 x) x) -1)))
(/.f64 (+.f64 1 (*.f64 (+.f64 (/.f64 (expm1.f64 x) x) -1) (-.f64 1 (/.f64 (expm1.f64 x) x)))) (-.f64 2 (/.f64 (expm1.f64 x) x)))
(/.f64 (*.f64 (expm1.f64 x) -1) (neg.f64 x))
(/.f64 (expm1.f64 x) x)
(/.f64 (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 x (expm1.f64 x))) 2)) (cbrt.f64 (/.f64 x (expm1.f64 x))))
(/.f64 (expm1.f64 x) x)
(/.f64 (/.f64 (expm1.f64 x) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))
(/.f64 (expm1.f64 x) x)
(neg.f64 (/.f64 (expm1.f64 x) (neg.f64 x)))
(/.f64 (expm1.f64 x) x)
(sqrt.f64 (pow.f64 (/.f64 (expm1.f64 x) x) 2))
(/.f64 (expm1.f64 x) x)
(log.f64 (exp.f64 (/.f64 (expm1.f64 x) x)))
(/.f64 (expm1.f64 x) x)
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (expm1.f64 x) x))))
(/.f64 (expm1.f64 x) x)
(cbrt.f64 (pow.f64 (/.f64 (expm1.f64 x) x) 3))
(/.f64 (expm1.f64 x) x)
(expm1.f64 (log1p.f64 (/.f64 (expm1.f64 x) x)))
(/.f64 (expm1.f64 x) x)
(hypot.f64 (sqrt.f64 (/.f64 (expm1.f64 x) x)) (sqrt.f64 (-.f64 (pow.f64 (/.f64 (expm1.f64 x) x) 2) (/.f64 (expm1.f64 x) x))))
(hypot.f64 (sqrt.f64 (/.f64 (expm1.f64 x) x)) (sqrt.f64 (-.f64 (pow.f64 (/.f64 x (expm1.f64 x)) -2) (/.f64 (expm1.f64 x) x))))
(hypot.f64 (pow.f64 (sqrt.f64 (/.f64 x (expm1.f64 x))) -1) (sqrt.f64 (-.f64 (pow.f64 (/.f64 (expm1.f64 x) x) 2) (/.f64 (expm1.f64 x) x))))
(hypot.f64 (/.f64 1 (sqrt.f64 (/.f64 x (expm1.f64 x)))) (sqrt.f64 (-.f64 (pow.f64 (/.f64 (expm1.f64 x) x) 2) (/.f64 (expm1.f64 x) x))))
(hypot.f64 (/.f64 1 (sqrt.f64 (/.f64 x (expm1.f64 x)))) (sqrt.f64 (-.f64 (pow.f64 (/.f64 x (expm1.f64 x)) -2) (/.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)
(fma.f64 1 (/.f64 (expm1.f64 x) x) 0)
(/.f64 (expm1.f64 x) x)
(fma.f64 1 (+.f64 1 (/.f64 (expm1.f64 x) x)) -1)
(/.f64 (expm1.f64 x) x)
(fma.f64 1 (+.f64 (/.f64 (expm1.f64 x) x) -1) 1)
(/.f64 (expm1.f64 x) x)
(fma.f64 (/.f64 1 x) (expm1.f64 x) 0)
(/.f64 (expm1.f64 x) x)
(fma.f64 (/.f64 1 x) (pow.f64 (/.f64 1 (expm1.f64 x)) -1) 0)
(/.f64 (expm1.f64 x) x)
(fma.f64 (expm1.f64 x) (/.f64 1 x) 0)
(/.f64 (expm1.f64 x) x)
(fma.f64 (/.f64 (expm1.f64 x) x) 1 0)
(/.f64 (expm1.f64 x) x)
(fma.f64 (+.f64 1 (/.f64 (expm1.f64 x) x)) 1 -1)
(/.f64 (expm1.f64 x) x)
(fma.f64 (cbrt.f64 (+.f64 1 (/.f64 (expm1.f64 x) x))) (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 (expm1.f64 x) x))) 2) -1)
(/.f64 (expm1.f64 x) x)
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 (expm1.f64 x) x))) 2) (cbrt.f64 (+.f64 1 (/.f64 (expm1.f64 x) x))) -1)
(/.f64 (expm1.f64 x) x)
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 (expm1.f64 x) x))) 2) (*.f64 (cbrt.f64 (+.f64 1 (/.f64 (expm1.f64 x) x))) 1) -1)
(/.f64 (expm1.f64 x) x)
(fma.f64 (cbrt.f64 (/.f64 (expm1.f64 x) x)) (pow.f64 (cbrt.f64 (/.f64 (expm1.f64 x) x)) 2) 0)
(/.f64 (expm1.f64 x) x)
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 (expm1.f64 x) x)) 2) (cbrt.f64 (/.f64 (expm1.f64 x) x)) 0)
(/.f64 (expm1.f64 x) x)
(fma.f64 (cbrt.f64 (pow.f64 x -2)) (*.f64 (/.f64 1 (cbrt.f64 x)) (expm1.f64 x)) 0)
(fma.f64 (cbrt.f64 (pow.f64 x -2)) (*.f64 (expm1.f64 x) (/.f64 1 (cbrt.f64 x))) 0)
(*.f64 (cbrt.f64 (pow.f64 x -2)) (/.f64 (expm1.f64 x) (cbrt.f64 x)))
(fma.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) 2) (*.f64 (cbrt.f64 (expm1.f64 x)) (/.f64 1 x)) 0)
(/.f64 (expm1.f64 x) x)
(fma.f64 (hypot.f64 1 (sqrt.f64 (/.f64 (expm1.f64 x) x))) (hypot.f64 1 (sqrt.f64 (/.f64 (expm1.f64 x) x))) -1)
(/.f64 (expm1.f64 x) x)
(fma.f64 (hypot.f64 1 (sqrt.f64 (/.f64 (expm1.f64 x) x))) (*.f64 (hypot.f64 1 (sqrt.f64 (/.f64 (expm1.f64 x) x))) 1) -1)
(/.f64 (expm1.f64 x) x)
(fma.f64 (sqrt.f64 (/.f64 (expm1.f64 x) x)) (sqrt.f64 (/.f64 (expm1.f64 x) x)) 0)
(/.f64 (expm1.f64 x) x)
(fma.f64 (pow.f64 x -1/2) (/.f64 (expm1.f64 x) (sqrt.f64 x)) 0)
(*.f64 (/.f64 (expm1.f64 x) (sqrt.f64 x)) (pow.f64 x -1/2))
(fma.f64 (pow.f64 x -1/2) (*.f64 (pow.f64 x -1/2) (expm1.f64 x)) 0)
(/.f64 (expm1.f64 x) x)
(fma.f64 (sqrt.f64 (expm1.f64 x)) (*.f64 (sqrt.f64 (expm1.f64 x)) (/.f64 1 x)) 0)
(/.f64 (expm1.f64 x) x)
(fma.f64 (neg.f64 (expm1.f64 x)) (/.f64 1 (neg.f64 x)) 0)
(/.f64 (expm1.f64 x) x)
(fma.f64 (+.f64 1 (pow.f64 (/.f64 (expm1.f64 x) x) 3)) (/.f64 1 (fma.f64 (/.f64 (expm1.f64 x) x) (+.f64 (/.f64 (expm1.f64 x) x) -1) 1)) -1)
(+.f64 (/.f64 (+.f64 1 (pow.f64 (/.f64 (expm1.f64 x) x) 3)) (fma.f64 (/.f64 (expm1.f64 x) x) (+.f64 (/.f64 (expm1.f64 x) x) -1) 1)) -1)
(+.f64 -1 (/.f64 (+.f64 1 (pow.f64 (/.f64 (expm1.f64 x) x) 3)) (fma.f64 (/.f64 (expm1.f64 x) x) (+.f64 (/.f64 (expm1.f64 x) x) -1) 1)))
(fma.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 (expm1.f64 x) x)) 3)) (/.f64 1 (+.f64 (pow.f64 (+.f64 1 (/.f64 (expm1.f64 x) x)) 2) (+.f64 (/.f64 (expm1.f64 x) x) 2))) 0)
(.f64 (/.f64 1 (+.f64 (pow.f64 (+.f64 1 (/.f64 (expm1.f64 x) x)) 2) (+.f64 2 (/.f64 (expm1.f64 x) x)))) (expm1.f64 (.f64 3 (log1p.f64 (/.f64 (expm1.f64 x) x)))))
(/.f64 (expm1.f64 (*.f64 3 (log1p.f64 (/.f64 (expm1.f64 x) x)))) (+.f64 2 (+.f64 (/.f64 (expm1.f64 x) x) (pow.f64 (+.f64 1 (/.f64 (expm1.f64 x) x)) 2))))
(fma.f64 (-.f64 1 (pow.f64 (/.f64 (expm1.f64 x) x) 2)) (/.f64 1 (-.f64 1 (/.f64 (expm1.f64 x) x))) -1)
(+.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 (expm1.f64 x) x) 2)) (-.f64 1 (/.f64 (expm1.f64 x) x))) -1)
(+.f64 -1 (/.f64 (-.f64 1 (pow.f64 (/.f64 (expm1.f64 x) x) 2)) (-.f64 1 (/.f64 (expm1.f64 x) x))))
(+.f64 -1 (/.f64 (+.f64 -1 (pow.f64 (/.f64 x (expm1.f64 x)) -2)) (+.f64 (/.f64 (expm1.f64 x) x) -1)))
(fma.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 (expm1.f64 x) x)) 2) -1) (/.f64 1 (+.f64 (/.f64 (expm1.f64 x) x) 2)) 0)
(*.f64 (/.f64 1 (+.f64 2 (/.f64 (expm1.f64 x) x))) (+.f64 -1 (pow.f64 (+.f64 1 (/.f64 (expm1.f64 x) x)) 2)))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 1 (/.f64 (expm1.f64 x) x)) 2)) (+.f64 2 (/.f64 (expm1.f64 x) x)))
(/.f64 (-.f64 1 (pow.f64 (+.f64 1 (/.f64 (expm1.f64 x) x)) 2)) (-.f64 -2 (/.f64 (expm1.f64 x) x)))
(fma.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 x (expm1.f64 x))) 2) -1) (pow.f64 (cbrt.f64 (/.f64 x (expm1.f64 x))) -1) 0)
(/.f64 (expm1.f64 x) x)
(fma.f64 (pow.f64 (sqrt.f64 (/.f64 x (expm1.f64 x))) -1) (pow.f64 (sqrt.f64 (/.f64 x (expm1.f64 x))) -1) 0)
(/.f64 (expm1.f64 x) x)
(fma.f64 (*.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)) 1)
(/.f64 (expm1.f64 x) x)
(fma.f64 (sqrt.f64 (+.f64 (/.f64 (expm1.f64 x) x) -1)) (sqrt.f64 (+.f64 (/.f64 (expm1.f64 x) x) -1)) 1)
(/.f64 (expm1.f64 x) x)
(fma.f64 (/.f64 1 (pow.f64 (cbrt.f64 x) 2)) (/.f64 (expm1.f64 x) (cbrt.f64 x)) 0)
(/.f64 (expm1.f64 x) x)
(fma.f64 (/.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) 2) 1) (/.f64 (cbrt.f64 (expm1.f64 x)) x) 0)
(/.f64 (expm1.f64 x) x)
(fma.f64 (/.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) 2) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 (/.f64 (expm1.f64 x) x)) 0)
(/.f64 (*.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) 2) (cbrt.f64 (/.f64 (expm1.f64 x) x))) (pow.f64 (cbrt.f64 x) 2))
(*.f64 (cbrt.f64 (/.f64 (expm1.f64 x) x)) (/.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) 2) (pow.f64 (cbrt.f64 x) 2)))
(fma.f64 (/.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) 2) (sqrt.f64 x)) (/.f64 (cbrt.f64 (expm1.f64 x)) (sqrt.f64 x)) 0)
(/.f64 (expm1.f64 x) x)
(fma.f64 (/.f64 (sqrt.f64 (expm1.f64 x)) 1) (/.f64 (sqrt.f64 (expm1.f64 x)) x) 0)
(/.f64 (expm1.f64 x) x)
(fma.f64 (/.f64 (sqrt.f64 (expm1.f64 x)) (pow.f64 (cbrt.f64 x) 2)) (/.f64 (sqrt.f64 (expm1.f64 x)) (cbrt.f64 x)) 0)
(/.f64 (expm1.f64 x) x)
(fma.f64 (/.f64 1 (neg.f64 x)) (neg.f64 (expm1.f64 x)) 0)
(/.f64 (expm1.f64 x) x)
(fma.f64 (+.f64 (sqrt.f64 (/.f64 (expm1.f64 x) x)) 1) (-.f64 (sqrt.f64 (/.f64 (expm1.f64 x) x)) 1) 1)
(/.f64 (expm1.f64 x) x)
(fma.f64 (+.f64 (hypot.f64 1 (sqrt.f64 (/.f64 (expm1.f64 x) x))) 1) (-.f64 (hypot.f64 1 (sqrt.f64 (/.f64 (expm1.f64 x) x))) 1) 0)
(/.f64 (expm1.f64 x) x)
(fma.f64 (*.f64 (/.f64 1 x) (pow.f64 (cbrt.f64 (expm1.f64 x)) 2)) (cbrt.f64 (expm1.f64 x)) 0)
(/.f64 (expm1.f64 x) x)
(fma.f64 (*.f64 (/.f64 1 x) (sqrt.f64 (expm1.f64 x))) (sqrt.f64 (expm1.f64 x)) 0)
(/.f64 (expm1.f64 x) x)
(fma.f64 (*.f64 (expm1.f64 x) (cbrt.f64 (pow.f64 x -2))) (/.f64 1 (cbrt.f64 x)) 0)
(fma.f64 (cbrt.f64 (pow.f64 x -2)) (*.f64 (expm1.f64 x) (/.f64 1 (cbrt.f64 x))) 0)
(*.f64 (cbrt.f64 (pow.f64 x -2)) (/.f64 (expm1.f64 x) (cbrt.f64 x)))
(fma.f64 (*.f64 (expm1.f64 x) (pow.f64 x -1/2)) (pow.f64 x -1/2) 0)
(/.f64 (expm1.f64 x) x)

eval101.0ms (2.9%)

Compiler: Compiled 5654 to 3028 computations (46.4% saved)

prune70.0ms (2%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	392	1	393
Fresh	0	1	1
Picked	2	2	4
Done	0	1	1
Total	394	5	399

Accuracy

100.0%

Counts

399 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(/.f64 (expm1.f64 x) x)
▶	100.0%	(/.f64 1 (/.f64 x (expm1.f64 x)))
✓	78.2%	(-.f64 (+.f64 1 (/.f64 (expm1.f64 x) x)) 1)
✓	52.3%	(+.f64 1 (*.f64 1/2 x))
	52.1%	1
✓	100.0%	(/.f64 (expm1.f64 x) x)
▶	100.0%	(/.f64 1 (/.f64 x (expm1.f64 x)))
✓	78.2%	(-.f64 (+.f64 1 (/.f64 (expm1.f64 x) x)) 1)
✓	52.3%	(+.f64 1 (*.f64 1/2 x))
	52.1%	1

Compiler

Compiled 58 to 44 computations (24.1% saved)

localize25.0ms (0.7%)

Localize:

Found 2 expressions with local error:

New	Accuracy	Program
	100.0%	(/.f64 x (expm1.f64 x))
✓	100.0%	(/.f64 1 (/.f64 x (expm1.f64 x)))

Compiler

Compiled 16 to 7 computations (56.3% saved)

series0.0ms (0%)

Counts

1 → 12

Calls

3 calls:

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

rewrite55.0ms (1.6%)

Algorithm

1×	batch-egg-rewrite

Rules

930×	`unpow-prod-down`
494×	`log-prod`
449×	`log1p-expm1-u`
448×	`expm1-log1p-u`
426×	`add-exp-log`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	10	23
1	98	17
2	1294	17

Stop Event

1×	node limit

Counts

1 → 69

Calls

Call 1

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

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

simplify69.0ms (2%)

Algorithm

1×	egg-herbie

Rules

1268×	`times-frac`
812×	`log-prod`
646×	`fma-neg`
628×	`associate-/l*`
576×	`fma-def`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	222	2214
1	561	2148
2	1643	2060
3	7133	2060

Stop Event

1×	node limit

Counts

81 → 102

Calls

Call 1

Inputs
1
(+.f64 1 (*.f64 1/2 x))
(+.f64 1 (+.f64 (.f64 1/6 (pow.f64 x 2)) (.f64 1/2 x)))
(+.f64 1 (+.f64 (.f64 1/24 (pow.f64 x 3)) (+.f64 (.f64 1/6 (pow.f64 x 2)) (*.f64 1/2 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 (exp.f64 x) 1) x)
(+.f64 0 (/.f64 (expm1.f64 x) x))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 (expm1.f64 x) x))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (expm1.f64 x) x)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (expm1.f64 x) x)))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (expm1.f64 x) x)))))
(-.f64 (+.f64 1 (/.f64 (expm1.f64 x) x)) 1)
(-.f64 (/.f64 (exp.f64 x) x) (/.f64 1 x))
(*.f64 1 (/.f64 (expm1.f64 x) x))
(*.f64 (expm1.f64 x) (/.f64 1 x))
(*.f64 -1 (/.f64 1 (/.f64 (neg.f64 x) (expm1.f64 x))))
(*.f64 (cbrt.f64 (/.f64 (expm1.f64 x) x)) (pow.f64 (cbrt.f64 (/.f64 x (expm1.f64 x))) -2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 x (expm1.f64 x))) -2) (cbrt.f64 (/.f64 (expm1.f64 x) x)))
(*.f64 (sqrt.f64 (/.f64 (expm1.f64 x) x)) (sqrt.f64 (/.f64 (expm1.f64 x) x)))
(*.f64 (/.f64 (expm1.f64 x) x) 1)
(*.f64 (/.f64 (expm1.f64 x) x) (log.f64 (E.f64)))
(*.f64 (/.f64 1 x) (expm1.f64 x))
(*.f64 (pow.f64 (cbrt.f64 x) -2) (/.f64 (expm1.f64 x) (cbrt.f64 x)))
(.f64 (pow.f64 (cbrt.f64 x) -2) (pow.f64 (.f64 (cbrt.f64 x) (/.f64 1 (expm1.f64 x))) -1))
(*.f64 (pow.f64 x -1/2) (/.f64 (expm1.f64 x) (sqrt.f64 x)))
(.f64 (pow.f64 x -1/2) (pow.f64 (.f64 (sqrt.f64 x) (/.f64 1 (expm1.f64 x))) -1))
(*.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) (pow.f64 (cbrt.f64 x) 2)) (/.f64 (cbrt.f64 (expm1.f64 x)) (cbrt.f64 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 (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 (sqrt.f64 (expm1.f64 x)) (sqrt.f64 x)) (/.f64 (sqrt.f64 (expm1.f64 x)) (sqrt.f64 x)))
(.f64 (.f64 (/.f64 1 x) (pow.f64 (cbrt.f64 (expm1.f64 x)) 2)) (cbrt.f64 (expm1.f64 x)))
(.f64 (.f64 (/.f64 1 x) (sqrt.f64 (expm1.f64 x))) (sqrt.f64 (expm1.f64 x)))
(*.f64 (/.f64 1 (neg.f64 x)) (neg.f64 (expm1.f64 x)))
(*.f64 (/.f64 1 (neg.f64 x)) (pow.f64 (/.f64 1 (neg.f64 (expm1.f64 x))) -1))
(*.f64 (pow.f64 1 1/3) (/.f64 (expm1.f64 x) x))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) -2) -1) (pow.f64 (/.f64 x (cbrt.f64 (expm1.f64 x))) -1))
(*.f64 (pow.f64 (pow.f64 (expm1.f64 x) -1/2) -1) (pow.f64 (/.f64 x (sqrt.f64 (expm1.f64 x))) -1))
(*.f64 (pow.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) 1) -1) (pow.f64 (/.f64 (cbrt.f64 x) (expm1.f64 x)) -1))
(*.f64 (pow.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 (expm1.f64 x)) 2)) -1) (cbrt.f64 (/.f64 (expm1.f64 x) x)))
(*.f64 (pow.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (sqrt.f64 (expm1.f64 x))) -1) (pow.f64 (/.f64 (cbrt.f64 x) (sqrt.f64 (expm1.f64 x))) -1))
(*.f64 (pow.f64 (/.f64 (sqrt.f64 x) 1) -1) (pow.f64 (/.f64 (sqrt.f64 x) (expm1.f64 x)) -1))
(*.f64 (pow.f64 (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 (expm1.f64 x)) 2)) -1) (pow.f64 (/.f64 (sqrt.f64 x) (cbrt.f64 (expm1.f64 x))) -1))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 (expm1.f64 x) x))) 2) 3) (cbrt.f64 (/.f64 (expm1.f64 x) x)))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (/.f64 (expm1.f64 x) x))) 3) (pow.f64 (sqrt.f64 (cbrt.f64 (/.f64 (expm1.f64 x) x))) 3))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (/.f64 x (expm1.f64 x)) -3)) 1/3) (pow.f64 (sqrt.f64 (pow.f64 (/.f64 x (expm1.f64 x)) -3)) 1/3))
(.f64 (pow.f64 (pow.f64 (.f64 (/.f64 (expm1.f64 x) x) (cbrt.f64 (/.f64 (expm1.f64 x) x))) 2) 1/3) (cbrt.f64 (cbrt.f64 (/.f64 (expm1.f64 x) x))))
(*.f64 (pow.f64 (pow.f64 (/.f64 x (expm1.f64 x)) -5/2) 1/3) (cbrt.f64 (sqrt.f64 (/.f64 (expm1.f64 x) x))))
(.f64 (pow.f64 (.f64 (pow.f64 (/.f64 x (expm1.f64 x)) -2) (/.f64 1 x)) 1/3) (cbrt.f64 (expm1.f64 x)))
(pow.f64 (/.f64 x (expm1.f64 x)) -1)
(pow.f64 (cbrt.f64 (/.f64 x (expm1.f64 x))) -3)
(pow.f64 (cbrt.f64 (/.f64 (expm1.f64 x) x)) 3)
(pow.f64 (pow.f64 (/.f64 x (expm1.f64 x)) 2) -1/2)
(pow.f64 (pow.f64 (/.f64 x (expm1.f64 x)) 3) -1/3)
(pow.f64 (pow.f64 (/.f64 x (expm1.f64 x)) -2) 1/2)
(pow.f64 (pow.f64 (/.f64 x (expm1.f64 x)) -3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 x (expm1.f64 x))) -2)
(pow.f64 (sqrt.f64 (/.f64 (expm1.f64 x) x)) 2)
(pow.f64 (/.f64 (expm1.f64 x) x) 1)
(pow.f64 (E.f64) (log.f64 (/.f64 (expm1.f64 x) x)))
(pow.f64 (/.f64 (pow.f64 (expm1.f64 x) 3) (pow.f64 x 3)) 1/3)
(pow.f64 (neg.f64 (/.f64 (neg.f64 x) (expm1.f64 x))) -1)
(pow.f64 (/.f64 (sqrt.f64 (expm1.f64 x)) (sqrt.f64 x)) 2)
(pow.f64 (exp.f64 -1) (log.f64 (/.f64 x (expm1.f64 x))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 (expm1.f64 x) x))) 2)) (cbrt.f64 (log.f64 (/.f64 (expm1.f64 x) x))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (/.f64 (expm1.f64 x) x)))) (sqrt.f64 (log.f64 (/.f64 (expm1.f64 x) x))))
(sqrt.f64 (pow.f64 (/.f64 x (expm1.f64 x)) -2))
(log.f64 (exp.f64 (/.f64 (expm1.f64 x) x)))
(cbrt.f64 (pow.f64 (/.f64 x (expm1.f64 x)) -3))
(cbrt.f64 (/.f64 (pow.f64 (expm1.f64 x) 3) (pow.f64 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 (cbrt.f64 (/.f64 (expm1.f64 x) x))) 3))
(exp.f64 (.f64 (.f64 3 (log.f64 (/.f64 (expm1.f64 x) x))) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 (expm1.f64 x) x))) 2))
(log1p.f64 (expm1.f64 (/.f64 (expm1.f64 x) x)))

Outputs
1
(+.f64 1 (*.f64 1/2 x))
(fma.f64 1/2 x 1)
(+.f64 1 (+.f64 (.f64 1/6 (pow.f64 x 2)) (.f64 1/2 x)))
(+.f64 1 (fma.f64 1/6 (pow.f64 x 2) (*.f64 1/2 x)))
(+.f64 (fma.f64 1/2 x 1) (*.f64 1/6 (pow.f64 x 2)))
(fma.f64 1/6 (pow.f64 x 2) (fma.f64 1/2 x 1))
(+.f64 1 (+.f64 (.f64 1/24 (pow.f64 x 3)) (+.f64 (.f64 1/6 (pow.f64 x 2)) (*.f64 1/2 x))))
(+.f64 1 (fma.f64 1/24 (pow.f64 x 3) (fma.f64 1/6 (pow.f64 x 2) (*.f64 1/2 x))))
(+.f64 (fma.f64 1/24 (pow.f64 x 3) (*.f64 1/6 (pow.f64 x 2))) (fma.f64 1/2 x 1))
(fma.f64 1/24 (pow.f64 x 3) (fma.f64 1/6 (pow.f64 x 2) (fma.f64 1/2 x 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 0 (/.f64 (expm1.f64 x) x))
(/.f64 (expm1.f64 x) x)
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 (expm1.f64 x) x))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (expm1.f64 x) x)))))
(*.f64 3 (log.f64 (cbrt.f64 (exp.f64 (/.f64 (expm1.f64 x) x)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (expm1.f64 x) x)))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (expm1.f64 x) x)))))
(*.f64 2 (log.f64 (sqrt.f64 (exp.f64 (/.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 1 (/.f64 (expm1.f64 x) x))
(/.f64 (expm1.f64 x) x)
(*.f64 (expm1.f64 x) (/.f64 1 x))
(/.f64 (expm1.f64 x) x)
(*.f64 -1 (/.f64 1 (/.f64 (neg.f64 x) (expm1.f64 x))))
(/.f64 (expm1.f64 x) x)
(*.f64 (cbrt.f64 (/.f64 (expm1.f64 x) x)) (pow.f64 (cbrt.f64 (/.f64 x (expm1.f64 x))) -2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 x (expm1.f64 x))) -2) (cbrt.f64 (/.f64 (expm1.f64 x) x)))
(*.f64 (cbrt.f64 (/.f64 (expm1.f64 x) x)) (pow.f64 (cbrt.f64 (/.f64 x (expm1.f64 x))) -2))
(*.f64 (sqrt.f64 (/.f64 (expm1.f64 x) x)) (sqrt.f64 (/.f64 (expm1.f64 x) x)))
(/.f64 (expm1.f64 x) x)
(*.f64 (/.f64 (expm1.f64 x) x) 1)
(/.f64 (expm1.f64 x) x)
(*.f64 (/.f64 (expm1.f64 x) x) (log.f64 (E.f64)))
(/.f64 (expm1.f64 x) x)
(*.f64 (/.f64 1 x) (expm1.f64 x))
(/.f64 (expm1.f64 x) x)
(*.f64 (pow.f64 (cbrt.f64 x) -2) (/.f64 (expm1.f64 x) (cbrt.f64 x)))
(pow.f64 (/.f64 (cbrt.f64 (expm1.f64 x)) (cbrt.f64 x)) 3)
(.f64 (pow.f64 (cbrt.f64 x) -2) (pow.f64 (.f64 (cbrt.f64 x) (/.f64 1 (expm1.f64 x))) -1))
(*.f64 (pow.f64 (cbrt.f64 x) -2) (/.f64 (expm1.f64 x) (cbrt.f64 x)))
(pow.f64 (/.f64 (cbrt.f64 (expm1.f64 x)) (cbrt.f64 x)) 3)
(*.f64 (pow.f64 x -1/2) (/.f64 (expm1.f64 x) (sqrt.f64 x)))
(/.f64 (*.f64 (expm1.f64 x) (pow.f64 x -1/2)) (sqrt.f64 x))
(.f64 (pow.f64 x -1/2) (pow.f64 (.f64 (sqrt.f64 x) (/.f64 1 (expm1.f64 x))) -1))
(*.f64 (pow.f64 x -1/2) (/.f64 (expm1.f64 x) (sqrt.f64 x)))
(/.f64 (*.f64 (expm1.f64 x) (pow.f64 x -1/2)) (sqrt.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) (pow.f64 (cbrt.f64 x) 2)) (/.f64 (cbrt.f64 (expm1.f64 x)) (cbrt.f64 x)))
(*.f64 (pow.f64 (cbrt.f64 x) -2) (/.f64 (expm1.f64 x) (cbrt.f64 x)))
(pow.f64 (/.f64 (cbrt.f64 (expm1.f64 x)) (cbrt.f64 x)) 3)
(*.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 (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 (pow.f64 (cbrt.f64 x) -2) (/.f64 (expm1.f64 x) (cbrt.f64 x)))
(pow.f64 (/.f64 (cbrt.f64 (expm1.f64 x)) (cbrt.f64 x)) 3)
(*.f64 (/.f64 (sqrt.f64 (expm1.f64 x)) (sqrt.f64 x)) (/.f64 (sqrt.f64 (expm1.f64 x)) (sqrt.f64 x)))
(/.f64 (expm1.f64 x) x)
(.f64 (.f64 (/.f64 1 x) (pow.f64 (cbrt.f64 (expm1.f64 x)) 2)) (cbrt.f64 (expm1.f64 x)))
(/.f64 (expm1.f64 x) x)
(.f64 (.f64 (/.f64 1 x) (sqrt.f64 (expm1.f64 x))) (sqrt.f64 (expm1.f64 x)))
(/.f64 (expm1.f64 x) x)
(*.f64 (/.f64 1 (neg.f64 x)) (neg.f64 (expm1.f64 x)))
(/.f64 (expm1.f64 x) x)
(*.f64 (/.f64 1 (neg.f64 x)) (pow.f64 (/.f64 1 (neg.f64 (expm1.f64 x))) -1))
(/.f64 (expm1.f64 x) x)
(*.f64 (pow.f64 1 1/3) (/.f64 (expm1.f64 x) x))
(/.f64 (expm1.f64 x) x)
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) -2) -1) (pow.f64 (/.f64 x (cbrt.f64 (expm1.f64 x))) -1))
(/.f64 (expm1.f64 x) x)
(*.f64 (pow.f64 (pow.f64 (expm1.f64 x) -1/2) -1) (pow.f64 (/.f64 x (sqrt.f64 (expm1.f64 x))) -1))
(*.f64 (/.f64 1 (pow.f64 (expm1.f64 x) -1/2)) (/.f64 1 (/.f64 x (sqrt.f64 (expm1.f64 x)))))
(*.f64 (/.f64 1 (pow.f64 (expm1.f64 x) -1/2)) (/.f64 (sqrt.f64 (expm1.f64 x)) x))
(/.f64 (/.f64 (sqrt.f64 (expm1.f64 x)) x) (pow.f64 (expm1.f64 x) -1/2))
(*.f64 (pow.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) 1) -1) (pow.f64 (/.f64 (cbrt.f64 x) (expm1.f64 x)) -1))
(*.f64 (pow.f64 (cbrt.f64 x) -2) (/.f64 (expm1.f64 x) (cbrt.f64 x)))
(pow.f64 (/.f64 (cbrt.f64 (expm1.f64 x)) (cbrt.f64 x)) 3)
(*.f64 (pow.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 (expm1.f64 x)) 2)) -1) (cbrt.f64 (/.f64 (expm1.f64 x) x)))
(*.f64 (cbrt.f64 (/.f64 (expm1.f64 x) x)) (/.f64 1 (/.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 (expm1.f64 x)) 2))))
(.f64 (cbrt.f64 (/.f64 (expm1.f64 x) x)) (.f64 (/.f64 1 (pow.f64 (cbrt.f64 x) 2)) (pow.f64 (cbrt.f64 (expm1.f64 x)) 2)))
(.f64 (cbrt.f64 (/.f64 (expm1.f64 x) x)) (.f64 (pow.f64 (cbrt.f64 x) -2) (pow.f64 (cbrt.f64 (expm1.f64 x)) 2)))
(*.f64 (pow.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (sqrt.f64 (expm1.f64 x))) -1) (pow.f64 (/.f64 (cbrt.f64 x) (sqrt.f64 (expm1.f64 x))) -1))
(*.f64 (pow.f64 (cbrt.f64 x) -2) (/.f64 (expm1.f64 x) (cbrt.f64 x)))
(pow.f64 (/.f64 (cbrt.f64 (expm1.f64 x)) (cbrt.f64 x)) 3)
(*.f64 (pow.f64 (/.f64 (sqrt.f64 x) 1) -1) (pow.f64 (/.f64 (sqrt.f64 x) (expm1.f64 x)) -1))
(/.f64 (expm1.f64 x) x)
(*.f64 (pow.f64 (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 (expm1.f64 x)) 2)) -1) (pow.f64 (/.f64 (sqrt.f64 x) (cbrt.f64 (expm1.f64 x))) -1))
(/.f64 (expm1.f64 x) x)
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 (expm1.f64 x) x))) 2) 3) (cbrt.f64 (/.f64 (expm1.f64 x) x)))
(/.f64 (expm1.f64 x) x)
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (/.f64 (expm1.f64 x) x))) 3) (pow.f64 (sqrt.f64 (cbrt.f64 (/.f64 (expm1.f64 x) x))) 3))
(/.f64 (expm1.f64 x) x)
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (/.f64 x (expm1.f64 x)) -3)) 1/3) (pow.f64 (sqrt.f64 (pow.f64 (/.f64 x (expm1.f64 x)) -3)) 1/3))
(*.f64 (cbrt.f64 (sqrt.f64 (pow.f64 (/.f64 x (expm1.f64 x)) -3))) (cbrt.f64 (sqrt.f64 (pow.f64 (/.f64 x (expm1.f64 x)) -3))))
(*.f64 (cbrt.f64 (pow.f64 (/.f64 x (expm1.f64 x)) -3/2)) (cbrt.f64 (pow.f64 (/.f64 x (expm1.f64 x)) -3/2)))
(.f64 (pow.f64 (pow.f64 (.f64 (/.f64 (expm1.f64 x) x) (cbrt.f64 (/.f64 (expm1.f64 x) x))) 2) 1/3) (cbrt.f64 (cbrt.f64 (/.f64 (expm1.f64 x) x))))
(.f64 (cbrt.f64 (cbrt.f64 (/.f64 (expm1.f64 x) x))) (cbrt.f64 (pow.f64 (.f64 (/.f64 (expm1.f64 x) x) (cbrt.f64 (/.f64 (expm1.f64 x) x))) 2)))
(*.f64 (cbrt.f64 (cbrt.f64 (/.f64 (expm1.f64 x) x))) (cbrt.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 (expm1.f64 x) x)) 4) 2)))
(*.f64 (cbrt.f64 (cbrt.f64 (/.f64 (expm1.f64 x) x))) (cbrt.f64 (pow.f64 (cbrt.f64 (/.f64 (expm1.f64 x) x)) 8)))
(*.f64 (pow.f64 (pow.f64 (/.f64 x (expm1.f64 x)) -5/2) 1/3) (cbrt.f64 (sqrt.f64 (/.f64 (expm1.f64 x) x))))
(*.f64 (cbrt.f64 (pow.f64 (/.f64 x (expm1.f64 x)) -5/2)) (cbrt.f64 (sqrt.f64 (/.f64 (expm1.f64 x) x))))
(.f64 (pow.f64 (.f64 (pow.f64 (/.f64 x (expm1.f64 x)) -2) (/.f64 1 x)) 1/3) (cbrt.f64 (expm1.f64 x)))
(.f64 (cbrt.f64 (expm1.f64 x)) (cbrt.f64 (.f64 (/.f64 1 x) (pow.f64 (/.f64 x (expm1.f64 x)) -2))))
(*.f64 (cbrt.f64 (expm1.f64 x)) (cbrt.f64 (/.f64 (pow.f64 (/.f64 x (expm1.f64 x)) -2) x)))
(*.f64 (cbrt.f64 (expm1.f64 x)) (cbrt.f64 (/.f64 (pow.f64 (/.f64 (expm1.f64 x) x) 2) x)))
(pow.f64 (/.f64 x (expm1.f64 x)) -1)
(/.f64 (expm1.f64 x) x)
(pow.f64 (cbrt.f64 (/.f64 x (expm1.f64 x))) -3)
(pow.f64 (cbrt.f64 (/.f64 (expm1.f64 x) x)) 3)
(/.f64 (expm1.f64 x) x)
(pow.f64 (pow.f64 (/.f64 x (expm1.f64 x)) 2) -1/2)
(pow.f64 (pow.f64 (/.f64 x (expm1.f64 x)) 3) -1/3)
(*.f64 (pow.f64 (pow.f64 (/.f64 x (expm1.f64 x)) 3) -1/6) (pow.f64 (pow.f64 (/.f64 x (expm1.f64 x)) 3) -1/6))
(pow.f64 (pow.f64 (/.f64 x (expm1.f64 x)) -2) 1/2)
(/.f64 (expm1.f64 x) x)
(pow.f64 (pow.f64 (/.f64 x (expm1.f64 x)) -3) 1/3)
(cbrt.f64 (pow.f64 (/.f64 x (expm1.f64 x)) -3))
(pow.f64 (sqrt.f64 (/.f64 x (expm1.f64 x))) -2)
(pow.f64 (sqrt.f64 (/.f64 (expm1.f64 x) x)) 2)
(/.f64 (expm1.f64 x) x)
(pow.f64 (/.f64 (expm1.f64 x) x) 1)
(/.f64 (expm1.f64 x) x)
(pow.f64 (E.f64) (log.f64 (/.f64 (expm1.f64 x) x)))
(/.f64 (expm1.f64 x) x)
(pow.f64 (/.f64 (pow.f64 (expm1.f64 x) 3) (pow.f64 x 3)) 1/3)
(/.f64 (expm1.f64 x) x)
(pow.f64 (neg.f64 (/.f64 (neg.f64 x) (expm1.f64 x))) -1)
(/.f64 (expm1.f64 x) x)
(pow.f64 (/.f64 (sqrt.f64 (expm1.f64 x)) (sqrt.f64 x)) 2)
(/.f64 (expm1.f64 x) x)
(pow.f64 (exp.f64 -1) (log.f64 (/.f64 x (expm1.f64 x))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 (expm1.f64 x) x))) 2)) (cbrt.f64 (log.f64 (/.f64 (expm1.f64 x) x))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (/.f64 (expm1.f64 x) x)))) (sqrt.f64 (log.f64 (/.f64 (expm1.f64 x) x))))
(sqrt.f64 (pow.f64 (/.f64 x (expm1.f64 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 x (expm1.f64 x)) -3))
(cbrt.f64 (/.f64 (pow.f64 (expm1.f64 x) 3) (pow.f64 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 (cbrt.f64 (/.f64 (expm1.f64 x) x))) 3))
(/.f64 (expm1.f64 x) x)
(exp.f64 (.f64 (.f64 3 (log.f64 (/.f64 (expm1.f64 x) x))) 1/3))
(/.f64 (expm1.f64 x) x)
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 (expm1.f64 x) x))) 2))
(/.f64 (expm1.f64 x) x)
(log1p.f64 (expm1.f64 (/.f64 (expm1.f64 x) x)))
(/.f64 (expm1.f64 x) x)

eval40.0ms (1.2%)

Compiler: Compiled 1692 to 828 computations (51.1% saved)

prune20.0ms (0.6%)

Pruning

6 alts after pruning (2 fresh and 4 done)

	Pruned	Kept	Total
New	149	1	150
Fresh	0	1	1
Picked	0	1	1
Done	0	3	3
Total	149	6	155

Accuracy

100.0%

Counts

155 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(/.f64 (expm1.f64 x) x)
✓	100.0%	(/.f64 1 (/.f64 x (expm1.f64 x)))
▶	55.3%	(/.f64 1 (+.f64 1 (*.f64 x -1/2)))
✓	78.2%	(-.f64 (+.f64 1 (/.f64 (expm1.f64 x) x)) 1)
✓	52.3%	(+.f64 1 (*.f64 1/2 x))
	52.1%	1
✓	100.0%	(/.f64 (expm1.f64 x) x)
✓	100.0%	(/.f64 1 (/.f64 x (expm1.f64 x)))
▶	55.3%	(/.f64 1 (+.f64 1 (*.f64 x -1/2)))
✓	78.2%	(-.f64 (+.f64 1 (/.f64 (expm1.f64 x) x)) 1)
✓	52.3%	(+.f64 1 (*.f64 1/2 x))
	52.1%	1

Compiler

Compiled 74 to 58 computations (21.6% saved)

localize31.0ms (0.9%)

Localize:

Found 1 expressions with local error:

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

Compiler

Compiled 20 to 16 computations (20% saved)

series2.0ms (0%)

Counts

1 → 12

Calls

3 calls:

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

rewrite52.0ms (1.5%)

Algorithm

1×	batch-egg-rewrite

Rules

748×	`unpow-prod-down`
484×	`prod-diff`
470×	`log1p-expm1-u`
469×	`expm1-log1p-u`
462×	`log-prod`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	10	22
1	106	18
2	1338	18

Stop Event

1×	node limit

Counts

1 → 45

Calls

Call 1

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

Outputs
(+.f64 0 (/.f64 1 (fma.f64 x -1/2 1)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 1 (fma.f64 x -1/2 1)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 1 (fma.f64 x -1/2 1))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 1 (fma.f64 x -1/2 1))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 1 (fma.f64 x -1/2 1))))))
(-.f64 (+.f64 1 (/.f64 1 (fma.f64 x -1/2 1))) 1)
(*.f64 1 (/.f64 1 (fma.f64 x -1/2 1)))
(*.f64 (/.f64 1 (fma.f64 x -1/2 1)) 1)
(*.f64 (/.f64 1 (fma.f64 x -1/2 1)) (log.f64 (E.f64)))
(.f64 -1 (/.f64 1 (+.f64 -1 (.f64 1/2 x))))
(*.f64 (/.f64 1 (cbrt.f64 (fma.f64 x -1/2 1))) (pow.f64 (cbrt.f64 (fma.f64 x -1/2 1)) -2))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 x -1/2 1)) -2) (/.f64 1 (cbrt.f64 (fma.f64 x -1/2 1))))
(*.f64 (pow.f64 (fma.f64 x -1/2 1) -1/2) (pow.f64 (fma.f64 x -1/2 1) -1/2))
(.f64 (/.f64 1 (fma.f64 (pow.f64 x 3) -1/8 1)) (fma.f64 (.f64 x -1/2) (fma.f64 x -1/2 -1) 1))
(.f64 (/.f64 1 (fma.f64 (pow.f64 x 3) -1/8 1)) (pow.f64 (/.f64 1 (fma.f64 (.f64 x -1/2) (fma.f64 x -1/2 -1) 1)) -1))
(.f64 (/.f64 1 (-.f64 1 (pow.f64 (.f64 x -1/2) 2))) (-.f64 1 (*.f64 x -1/2)))
(.f64 (/.f64 1 (-.f64 1 (pow.f64 (.f64 x -1/2) 2))) (pow.f64 (/.f64 1 (-.f64 1 (*.f64 x -1/2))) -1))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 1 (cbrt.f64 (fma.f64 x -1/2 1)))) 2) 3) (/.f64 1 (cbrt.f64 (fma.f64 x -1/2 1))))
(*.f64 (pow.f64 (sqrt.f64 (/.f64 1 (cbrt.f64 (fma.f64 x -1/2 1)))) 3) (pow.f64 (sqrt.f64 (/.f64 1 (cbrt.f64 (fma.f64 x -1/2 1)))) 3))
(*.f64 (pow.f64 1 1/3) (/.f64 1 (fma.f64 x -1/2 1)))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (fma.f64 x -1/2 1) -3)) 1/3) (pow.f64 (sqrt.f64 (pow.f64 (fma.f64 x -1/2 1) -3)) 1/3))
(.f64 (pow.f64 (.f64 (pow.f64 (fma.f64 x -1/2 1) -2) (pow.f64 (cbrt.f64 (fma.f64 x -1/2 1)) -2)) 1/3) (cbrt.f64 (/.f64 1 (cbrt.f64 (fma.f64 x -1/2 1)))))
(*.f64 (pow.f64 (pow.f64 (fma.f64 x -1/2 1) -5/2) 1/3) (cbrt.f64 (pow.f64 (fma.f64 x -1/2 1) -1/2)))
(pow.f64 (fma.f64 x -1/2 1) -1)
(pow.f64 (/.f64 1 (fma.f64 x -1/2 1)) 1)
(pow.f64 (cbrt.f64 (fma.f64 x -1/2 1)) -3)
(pow.f64 (/.f64 1 (cbrt.f64 (fma.f64 x -1/2 1))) 3)
(pow.f64 (pow.f64 (fma.f64 x -1/2 1) 2) -1/2)
(pow.f64 (pow.f64 (fma.f64 x -1/2 1) 3) -1/3)
(pow.f64 (pow.f64 (fma.f64 x -1/2 1) -2) 1/2)
(pow.f64 (pow.f64 (fma.f64 x -1/2 1) -3) 1/3)
(pow.f64 (sqrt.f64 (fma.f64 x -1/2 1)) -2)
(pow.f64 (pow.f64 (fma.f64 x -1/2 1) -1/2) 2)
(pow.f64 (E.f64) (neg.f64 (log1p.f64 (*.f64 x -1/2))))
(pow.f64 (neg.f64 (+.f64 -1 (*.f64 1/2 x))) -1)
(pow.f64 (exp.f64 -1) (log1p.f64 (*.f64 x -1/2)))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (neg.f64 (log1p.f64 (.f64 x -1/2)))) 2)) (cbrt.f64 (neg.f64 (log1p.f64 (.f64 x -1/2)))))
(pow.f64 (exp.f64 (sqrt.f64 (neg.f64 (log1p.f64 (.f64 x -1/2))))) (sqrt.f64 (neg.f64 (log1p.f64 (.f64 x -1/2)))))
(sqrt.f64 (pow.f64 (fma.f64 x -1/2 1) -2))
(log.f64 (exp.f64 (/.f64 1 (fma.f64 x -1/2 1))))
(cbrt.f64 (pow.f64 (fma.f64 x -1/2 1) -3))
(expm1.f64 (log1p.f64 (/.f64 1 (fma.f64 x -1/2 1))))
(exp.f64 (neg.f64 (log1p.f64 (*.f64 x -1/2))))
(exp.f64 (.f64 (.f64 1/3 (neg.f64 (log1p.f64 (*.f64 x -1/2)))) 3))
(exp.f64 (*.f64 (log.f64 (pow.f64 (fma.f64 x -1/2 1) -3)) 1/3))
(exp.f64 (.f64 (.f64 -1/2 (log1p.f64 (*.f64 x -1/2))) 2))
(log1p.f64 (expm1.f64 (/.f64 1 (fma.f64 x -1/2 1))))

simplify61.0ms (1.8%)

Algorithm

1×	egg-herbie

Rules

860×	`fma-neg`
848×	`associate-r`
804×	`associate-l`
686×	`fma-def`
522×	`exp-prod`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	165	1704
1	433	1605
2	1102	1585
3	4952	1549

Stop Event

1×	node limit

Counts

57 → 87

Calls

Call 1

Inputs
1
(+.f64 1 (*.f64 1/2 x))
(+.f64 1 (+.f64 (.f64 1/4 (pow.f64 x 2)) (.f64 1/2 x)))
(+.f64 1 (+.f64 (.f64 1/8 (pow.f64 x 3)) (+.f64 (.f64 1/4 (pow.f64 x 2)) (*.f64 1/2 x))))
(/.f64 -2 x)
(neg.f64 (+.f64 (.f64 2 (/.f64 1 x)) (.f64 4 (/.f64 1 (pow.f64 x 2)))))
(neg.f64 (+.f64 (.f64 4 (/.f64 1 (pow.f64 x 2))) (+.f64 (.f64 8 (/.f64 1 (pow.f64 x 3))) (*.f64 2 (/.f64 1 x)))))
(neg.f64 (+.f64 (.f64 4 (/.f64 1 (pow.f64 x 2))) (+.f64 (.f64 8 (/.f64 1 (pow.f64 x 3))) (+.f64 (.f64 16 (/.f64 1 (pow.f64 x 4))) (.f64 2 (/.f64 1 x))))))
(/.f64 -2 x)
(neg.f64 (+.f64 (.f64 2 (/.f64 1 x)) (.f64 4 (/.f64 1 (pow.f64 x 2)))))
(neg.f64 (+.f64 (.f64 4 (/.f64 1 (pow.f64 x 2))) (+.f64 (.f64 8 (/.f64 1 (pow.f64 x 3))) (*.f64 2 (/.f64 1 x)))))
(neg.f64 (+.f64 (.f64 4 (/.f64 1 (pow.f64 x 2))) (+.f64 (.f64 8 (/.f64 1 (pow.f64 x 3))) (+.f64 (.f64 16 (/.f64 1 (pow.f64 x 4))) (.f64 2 (/.f64 1 x))))))
(+.f64 0 (/.f64 1 (fma.f64 x -1/2 1)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 1 (fma.f64 x -1/2 1)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 1 (fma.f64 x -1/2 1))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 1 (fma.f64 x -1/2 1))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 1 (fma.f64 x -1/2 1))))))
(-.f64 (+.f64 1 (/.f64 1 (fma.f64 x -1/2 1))) 1)
(*.f64 1 (/.f64 1 (fma.f64 x -1/2 1)))
(*.f64 (/.f64 1 (fma.f64 x -1/2 1)) 1)
(*.f64 (/.f64 1 (fma.f64 x -1/2 1)) (log.f64 (E.f64)))
(.f64 -1 (/.f64 1 (+.f64 -1 (.f64 1/2 x))))
(*.f64 (/.f64 1 (cbrt.f64 (fma.f64 x -1/2 1))) (pow.f64 (cbrt.f64 (fma.f64 x -1/2 1)) -2))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 x -1/2 1)) -2) (/.f64 1 (cbrt.f64 (fma.f64 x -1/2 1))))
(*.f64 (pow.f64 (fma.f64 x -1/2 1) -1/2) (pow.f64 (fma.f64 x -1/2 1) -1/2))
(.f64 (/.f64 1 (fma.f64 (pow.f64 x 3) -1/8 1)) (fma.f64 (.f64 x -1/2) (fma.f64 x -1/2 -1) 1))
(.f64 (/.f64 1 (fma.f64 (pow.f64 x 3) -1/8 1)) (pow.f64 (/.f64 1 (fma.f64 (.f64 x -1/2) (fma.f64 x -1/2 -1) 1)) -1))
(.f64 (/.f64 1 (-.f64 1 (pow.f64 (.f64 x -1/2) 2))) (-.f64 1 (*.f64 x -1/2)))
(.f64 (/.f64 1 (-.f64 1 (pow.f64 (.f64 x -1/2) 2))) (pow.f64 (/.f64 1 (-.f64 1 (*.f64 x -1/2))) -1))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 1 (cbrt.f64 (fma.f64 x -1/2 1)))) 2) 3) (/.f64 1 (cbrt.f64 (fma.f64 x -1/2 1))))
(*.f64 (pow.f64 (sqrt.f64 (/.f64 1 (cbrt.f64 (fma.f64 x -1/2 1)))) 3) (pow.f64 (sqrt.f64 (/.f64 1 (cbrt.f64 (fma.f64 x -1/2 1)))) 3))
(*.f64 (pow.f64 1 1/3) (/.f64 1 (fma.f64 x -1/2 1)))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (fma.f64 x -1/2 1) -3)) 1/3) (pow.f64 (sqrt.f64 (pow.f64 (fma.f64 x -1/2 1) -3)) 1/3))
(.f64 (pow.f64 (.f64 (pow.f64 (fma.f64 x -1/2 1) -2) (pow.f64 (cbrt.f64 (fma.f64 x -1/2 1)) -2)) 1/3) (cbrt.f64 (/.f64 1 (cbrt.f64 (fma.f64 x -1/2 1)))))
(*.f64 (pow.f64 (pow.f64 (fma.f64 x -1/2 1) -5/2) 1/3) (cbrt.f64 (pow.f64 (fma.f64 x -1/2 1) -1/2)))
(pow.f64 (fma.f64 x -1/2 1) -1)
(pow.f64 (/.f64 1 (fma.f64 x -1/2 1)) 1)
(pow.f64 (cbrt.f64 (fma.f64 x -1/2 1)) -3)
(pow.f64 (/.f64 1 (cbrt.f64 (fma.f64 x -1/2 1))) 3)
(pow.f64 (pow.f64 (fma.f64 x -1/2 1) 2) -1/2)
(pow.f64 (pow.f64 (fma.f64 x -1/2 1) 3) -1/3)
(pow.f64 (pow.f64 (fma.f64 x -1/2 1) -2) 1/2)
(pow.f64 (pow.f64 (fma.f64 x -1/2 1) -3) 1/3)
(pow.f64 (sqrt.f64 (fma.f64 x -1/2 1)) -2)
(pow.f64 (pow.f64 (fma.f64 x -1/2 1) -1/2) 2)
(pow.f64 (E.f64) (neg.f64 (log1p.f64 (*.f64 x -1/2))))
(pow.f64 (neg.f64 (+.f64 -1 (*.f64 1/2 x))) -1)
(pow.f64 (exp.f64 -1) (log1p.f64 (*.f64 x -1/2)))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (neg.f64 (log1p.f64 (.f64 x -1/2)))) 2)) (cbrt.f64 (neg.f64 (log1p.f64 (.f64 x -1/2)))))
(pow.f64 (exp.f64 (sqrt.f64 (neg.f64 (log1p.f64 (.f64 x -1/2))))) (sqrt.f64 (neg.f64 (log1p.f64 (.f64 x -1/2)))))
(sqrt.f64 (pow.f64 (fma.f64 x -1/2 1) -2))
(log.f64 (exp.f64 (/.f64 1 (fma.f64 x -1/2 1))))
(cbrt.f64 (pow.f64 (fma.f64 x -1/2 1) -3))
(expm1.f64 (log1p.f64 (/.f64 1 (fma.f64 x -1/2 1))))
(exp.f64 (neg.f64 (log1p.f64 (*.f64 x -1/2))))
(exp.f64 (.f64 (.f64 1/3 (neg.f64 (log1p.f64 (*.f64 x -1/2)))) 3))
(exp.f64 (*.f64 (log.f64 (pow.f64 (fma.f64 x -1/2 1) -3)) 1/3))
(exp.f64 (.f64 (.f64 -1/2 (log1p.f64 (*.f64 x -1/2))) 2))
(log1p.f64 (expm1.f64 (/.f64 1 (fma.f64 x -1/2 1))))

Outputs
1
(+.f64 1 (*.f64 1/2 x))
(fma.f64 1/2 x 1)
(+.f64 1 (+.f64 (.f64 1/4 (pow.f64 x 2)) (.f64 1/2 x)))
(+.f64 1 (fma.f64 1/4 (pow.f64 x 2) (*.f64 1/2 x)))
(fma.f64 (*.f64 x -1/2) (fma.f64 x -1/2 -1) 1)
(fma.f64 x (+.f64 1/2 (*.f64 x 1/4)) 1)
(+.f64 1 (+.f64 (.f64 1/8 (pow.f64 x 3)) (+.f64 (.f64 1/4 (pow.f64 x 2)) (*.f64 1/2 x))))
(+.f64 1 (fma.f64 1/8 (pow.f64 x 3) (fma.f64 1/4 (pow.f64 x 2) (*.f64 1/2 x))))
(+.f64 1 (fma.f64 1/8 (pow.f64 x 3) (.f64 x (.f64 -1/2 (fma.f64 x -1/2 -1)))))
(fma.f64 x (+.f64 1/2 (*.f64 x 1/4)) (fma.f64 1/8 (pow.f64 x 3) 1))
(/.f64 -2 x)
(neg.f64 (+.f64 (.f64 2 (/.f64 1 x)) (.f64 4 (/.f64 1 (pow.f64 x 2)))))
(neg.f64 (+.f64 (/.f64 2 x) (/.f64 4 (pow.f64 x 2))))
(+.f64 (/.f64 -4 (pow.f64 x 2)) (/.f64 -2 x))
(-.f64 (/.f64 -2 x) (/.f64 4 (pow.f64 x 2)))
(neg.f64 (+.f64 (.f64 4 (/.f64 1 (pow.f64 x 2))) (+.f64 (.f64 8 (/.f64 1 (pow.f64 x 3))) (*.f64 2 (/.f64 1 x)))))
(neg.f64 (+.f64 (/.f64 4 (pow.f64 x 2)) (+.f64 (/.f64 2 x) (/.f64 8 (pow.f64 x 3)))))
(-.f64 (/.f64 -4 (pow.f64 x 2)) (+.f64 (/.f64 2 x) (/.f64 8 (pow.f64 x 3))))
(+.f64 (/.f64 -4 (pow.f64 x 2)) (-.f64 (/.f64 -2 x) (/.f64 8 (pow.f64 x 3))))
(+.f64 (-.f64 (/.f64 -2 x) (/.f64 4 (pow.f64 x 2))) (/.f64 -8 (pow.f64 x 3)))
(neg.f64 (+.f64 (.f64 4 (/.f64 1 (pow.f64 x 2))) (+.f64 (.f64 8 (/.f64 1 (pow.f64 x 3))) (+.f64 (.f64 16 (/.f64 1 (pow.f64 x 4))) (.f64 2 (/.f64 1 x))))))
(neg.f64 (+.f64 (/.f64 4 (pow.f64 x 2)) (+.f64 (/.f64 8 (pow.f64 x 3)) (+.f64 (/.f64 2 x) (/.f64 16 (pow.f64 x 4))))))
(-.f64 (/.f64 -4 (pow.f64 x 2)) (+.f64 (/.f64 2 x) (+.f64 (/.f64 8 (pow.f64 x 3)) (/.f64 16 (pow.f64 x 4)))))
(+.f64 (/.f64 -4 (pow.f64 x 2)) (-.f64 (/.f64 -2 x) (+.f64 (/.f64 8 (pow.f64 x 3)) (/.f64 16 (pow.f64 x 4)))))
(-.f64 (-.f64 (/.f64 -2 x) (/.f64 16 (pow.f64 x 4))) (+.f64 (/.f64 4 (pow.f64 x 2)) (/.f64 8 (pow.f64 x 3))))
(/.f64 -2 x)
(neg.f64 (+.f64 (.f64 2 (/.f64 1 x)) (.f64 4 (/.f64 1 (pow.f64 x 2)))))
(neg.f64 (+.f64 (/.f64 2 x) (/.f64 4 (pow.f64 x 2))))
(+.f64 (/.f64 -4 (pow.f64 x 2)) (/.f64 -2 x))
(-.f64 (/.f64 -2 x) (/.f64 4 (pow.f64 x 2)))
(neg.f64 (+.f64 (.f64 4 (/.f64 1 (pow.f64 x 2))) (+.f64 (.f64 8 (/.f64 1 (pow.f64 x 3))) (*.f64 2 (/.f64 1 x)))))
(neg.f64 (+.f64 (/.f64 4 (pow.f64 x 2)) (+.f64 (/.f64 2 x) (/.f64 8 (pow.f64 x 3)))))
(-.f64 (/.f64 -4 (pow.f64 x 2)) (+.f64 (/.f64 2 x) (/.f64 8 (pow.f64 x 3))))
(+.f64 (/.f64 -4 (pow.f64 x 2)) (-.f64 (/.f64 -2 x) (/.f64 8 (pow.f64 x 3))))
(+.f64 (-.f64 (/.f64 -2 x) (/.f64 4 (pow.f64 x 2))) (/.f64 -8 (pow.f64 x 3)))
(neg.f64 (+.f64 (.f64 4 (/.f64 1 (pow.f64 x 2))) (+.f64 (.f64 8 (/.f64 1 (pow.f64 x 3))) (+.f64 (.f64 16 (/.f64 1 (pow.f64 x 4))) (.f64 2 (/.f64 1 x))))))
(neg.f64 (+.f64 (/.f64 4 (pow.f64 x 2)) (+.f64 (/.f64 8 (pow.f64 x 3)) (+.f64 (/.f64 2 x) (/.f64 16 (pow.f64 x 4))))))
(-.f64 (/.f64 -4 (pow.f64 x 2)) (+.f64 (/.f64 2 x) (+.f64 (/.f64 8 (pow.f64 x 3)) (/.f64 16 (pow.f64 x 4)))))
(+.f64 (/.f64 -4 (pow.f64 x 2)) (-.f64 (/.f64 -2 x) (+.f64 (/.f64 8 (pow.f64 x 3)) (/.f64 16 (pow.f64 x 4)))))
(-.f64 (-.f64 (/.f64 -2 x) (/.f64 16 (pow.f64 x 4))) (+.f64 (/.f64 4 (pow.f64 x 2)) (/.f64 8 (pow.f64 x 3))))
(+.f64 0 (/.f64 1 (fma.f64 x -1/2 1)))
(/.f64 1 (fma.f64 x -1/2 1))
(/.f64 -1 (fma.f64 1/2 x -1))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 1 (fma.f64 x -1/2 1)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 1 (fma.f64 x -1/2 1))))))
(*.f64 3 (log.f64 (cbrt.f64 (exp.f64 (/.f64 1 (fma.f64 x -1/2 1))))))
(*.f64 3 (log.f64 (cbrt.f64 (exp.f64 (/.f64 -1 (fma.f64 1/2 x -1))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 1 (fma.f64 x -1/2 1))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 1 (fma.f64 x -1/2 1))))))
(/.f64 1 (fma.f64 x -1/2 1))
(/.f64 -1 (fma.f64 1/2 x -1))
(-.f64 (+.f64 1 (/.f64 1 (fma.f64 x -1/2 1))) 1)
(/.f64 1 (fma.f64 x -1/2 1))
(/.f64 -1 (fma.f64 1/2 x -1))
(*.f64 1 (/.f64 1 (fma.f64 x -1/2 1)))
(/.f64 1 (fma.f64 x -1/2 1))
(/.f64 -1 (fma.f64 1/2 x -1))
(*.f64 (/.f64 1 (fma.f64 x -1/2 1)) 1)
(/.f64 1 (fma.f64 x -1/2 1))
(/.f64 -1 (fma.f64 1/2 x -1))
(*.f64 (/.f64 1 (fma.f64 x -1/2 1)) (log.f64 (E.f64)))
(/.f64 1 (fma.f64 x -1/2 1))
(/.f64 -1 (fma.f64 1/2 x -1))
(.f64 -1 (/.f64 1 (+.f64 -1 (.f64 1/2 x))))
(/.f64 1 (fma.f64 x -1/2 1))
(/.f64 -1 (fma.f64 1/2 x -1))
(*.f64 (/.f64 1 (cbrt.f64 (fma.f64 x -1/2 1))) (pow.f64 (cbrt.f64 (fma.f64 x -1/2 1)) -2))
(/.f64 1 (fma.f64 x -1/2 1))
(/.f64 -1 (fma.f64 1/2 x -1))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 x -1/2 1)) -2) (/.f64 1 (cbrt.f64 (fma.f64 x -1/2 1))))
(/.f64 1 (fma.f64 x -1/2 1))
(/.f64 -1 (fma.f64 1/2 x -1))
(*.f64 (pow.f64 (fma.f64 x -1/2 1) -1/2) (pow.f64 (fma.f64 x -1/2 1) -1/2))
(/.f64 1 (fma.f64 x -1/2 1))
(/.f64 -1 (fma.f64 1/2 x -1))
(.f64 (/.f64 1 (fma.f64 (pow.f64 x 3) -1/8 1)) (fma.f64 (.f64 x -1/2) (fma.f64 x -1/2 -1) 1))
(/.f64 (fma.f64 (*.f64 x -1/2) (fma.f64 x -1/2 -1) 1) (fma.f64 (pow.f64 x 3) -1/8 1))
(/.f64 (fma.f64 x (+.f64 1/2 (*.f64 x 1/4)) 1) (fma.f64 (pow.f64 x 3) -1/8 1))
(.f64 (/.f64 1 (fma.f64 (pow.f64 x 3) -1/8 1)) (pow.f64 (/.f64 1 (fma.f64 (.f64 x -1/2) (fma.f64 x -1/2 -1) 1)) -1))
(.f64 (/.f64 1 (fma.f64 (pow.f64 x 3) -1/8 1)) (fma.f64 (.f64 x -1/2) (fma.f64 x -1/2 -1) 1))
(/.f64 (fma.f64 (*.f64 x -1/2) (fma.f64 x -1/2 -1) 1) (fma.f64 (pow.f64 x 3) -1/8 1))
(/.f64 (fma.f64 x (+.f64 1/2 (*.f64 x 1/4)) 1) (fma.f64 (pow.f64 x 3) -1/8 1))
(.f64 (/.f64 1 (-.f64 1 (pow.f64 (.f64 x -1/2) 2))) (-.f64 1 (*.f64 x -1/2)))
(/.f64 (fma.f64 1/2 x 1) (-.f64 1 (*.f64 1/4 (pow.f64 x 2))))
(/.f64 (fma.f64 1/2 x 1) (+.f64 1 (*.f64 (pow.f64 x 2) -1/4)))
(/.f64 (fma.f64 1/2 x 1) (neg.f64 (fma.f64 1/4 (pow.f64 x 2) -1)))
(.f64 (/.f64 1 (-.f64 1 (pow.f64 (.f64 x -1/2) 2))) (pow.f64 (/.f64 1 (-.f64 1 (*.f64 x -1/2))) -1))
(.f64 (/.f64 1 (-.f64 1 (pow.f64 (.f64 x -1/2) 2))) (-.f64 1 (*.f64 x -1/2)))
(/.f64 (fma.f64 1/2 x 1) (-.f64 1 (*.f64 1/4 (pow.f64 x 2))))
(/.f64 (fma.f64 1/2 x 1) (+.f64 1 (*.f64 (pow.f64 x 2) -1/4)))
(/.f64 (fma.f64 1/2 x 1) (neg.f64 (fma.f64 1/4 (pow.f64 x 2) -1)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 1 (cbrt.f64 (fma.f64 x -1/2 1)))) 2) 3) (/.f64 1 (cbrt.f64 (fma.f64 x -1/2 1))))
(/.f64 1 (fma.f64 x -1/2 1))
(/.f64 -1 (fma.f64 1/2 x -1))
(*.f64 (pow.f64 (sqrt.f64 (/.f64 1 (cbrt.f64 (fma.f64 x -1/2 1)))) 3) (pow.f64 (sqrt.f64 (/.f64 1 (cbrt.f64 (fma.f64 x -1/2 1)))) 3))
(/.f64 1 (fma.f64 x -1/2 1))
(/.f64 -1 (fma.f64 1/2 x -1))
(*.f64 (pow.f64 1 1/3) (/.f64 1 (fma.f64 x -1/2 1)))
(/.f64 1 (fma.f64 x -1/2 1))
(/.f64 -1 (fma.f64 1/2 x -1))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (fma.f64 x -1/2 1) -3)) 1/3) (pow.f64 (sqrt.f64 (pow.f64 (fma.f64 x -1/2 1) -3)) 1/3))
(*.f64 (cbrt.f64 (sqrt.f64 (pow.f64 (fma.f64 x -1/2 1) -3))) (cbrt.f64 (sqrt.f64 (pow.f64 (fma.f64 x -1/2 1) -3))))
(*.f64 (cbrt.f64 (pow.f64 (fma.f64 x -1/2 1) -3/2)) (cbrt.f64 (pow.f64 (fma.f64 x -1/2 1) -3/2)))
(pow.f64 (pow.f64 (pow.f64 (fma.f64 x -1/2 1) -3/2) 1/6) 4)
(.f64 (pow.f64 (.f64 (pow.f64 (fma.f64 x -1/2 1) -2) (pow.f64 (cbrt.f64 (fma.f64 x -1/2 1)) -2)) 1/3) (cbrt.f64 (/.f64 1 (cbrt.f64 (fma.f64 x -1/2 1)))))
(.f64 (cbrt.f64 (/.f64 1 (cbrt.f64 (fma.f64 x -1/2 1)))) (cbrt.f64 (.f64 (pow.f64 (cbrt.f64 (fma.f64 x -1/2 1)) -2) (pow.f64 (fma.f64 x -1/2 1) -2))))
(*.f64 (cbrt.f64 (cbrt.f64 (/.f64 -1 (fma.f64 1/2 x -1)))) (cbrt.f64 (pow.f64 (cbrt.f64 (/.f64 -1 (fma.f64 1/2 x -1))) 8)))
(*.f64 (pow.f64 (pow.f64 (fma.f64 x -1/2 1) -5/2) 1/3) (cbrt.f64 (pow.f64 (fma.f64 x -1/2 1) -1/2)))
(*.f64 (cbrt.f64 (pow.f64 (fma.f64 x -1/2 1) -5/2)) (cbrt.f64 (pow.f64 (fma.f64 x -1/2 1) -1/2)))
(pow.f64 (fma.f64 x -1/2 1) -1)
(/.f64 1 (fma.f64 x -1/2 1))
(/.f64 -1 (fma.f64 1/2 x -1))
(pow.f64 (/.f64 1 (fma.f64 x -1/2 1)) 1)
(/.f64 1 (fma.f64 x -1/2 1))
(/.f64 -1 (fma.f64 1/2 x -1))
(pow.f64 (cbrt.f64 (fma.f64 x -1/2 1)) -3)
(/.f64 1 (fma.f64 x -1/2 1))
(/.f64 -1 (fma.f64 1/2 x -1))
(pow.f64 (/.f64 1 (cbrt.f64 (fma.f64 x -1/2 1))) 3)
(/.f64 1 (fma.f64 x -1/2 1))
(/.f64 -1 (fma.f64 1/2 x -1))
(pow.f64 (pow.f64 (fma.f64 x -1/2 1) 2) -1/2)
(/.f64 1 (fma.f64 x -1/2 1))
(/.f64 -1 (fma.f64 1/2 x -1))
(pow.f64 (pow.f64 (fma.f64 x -1/2 1) 3) -1/3)
(*.f64 (pow.f64 (pow.f64 (fma.f64 x -1/2 1) 3) -1/6) (pow.f64 (pow.f64 (fma.f64 x -1/2 1) 3) -1/6))
(pow.f64 (pow.f64 (fma.f64 x -1/2 1) -2) 1/2)
(/.f64 1 (fma.f64 x -1/2 1))
(/.f64 -1 (fma.f64 1/2 x -1))
(pow.f64 (pow.f64 (fma.f64 x -1/2 1) -3) 1/3)
(/.f64 1 (fma.f64 x -1/2 1))
(/.f64 -1 (fma.f64 1/2 x -1))
(pow.f64 (sqrt.f64 (fma.f64 x -1/2 1)) -2)
(/.f64 1 (fma.f64 x -1/2 1))
(/.f64 -1 (fma.f64 1/2 x -1))
(pow.f64 (pow.f64 (fma.f64 x -1/2 1) -1/2) 2)
(/.f64 1 (fma.f64 x -1/2 1))
(/.f64 -1 (fma.f64 1/2 x -1))
(pow.f64 (E.f64) (neg.f64 (log1p.f64 (*.f64 x -1/2))))
(/.f64 1 (fma.f64 x -1/2 1))
(/.f64 -1 (fma.f64 1/2 x -1))
(pow.f64 (neg.f64 (+.f64 -1 (*.f64 1/2 x))) -1)
(/.f64 1 (fma.f64 x -1/2 1))
(/.f64 -1 (fma.f64 1/2 x -1))
(pow.f64 (exp.f64 -1) (log1p.f64 (*.f64 x -1/2)))
(/.f64 1 (fma.f64 x -1/2 1))
(/.f64 -1 (fma.f64 1/2 x -1))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (neg.f64 (log1p.f64 (.f64 x -1/2)))) 2)) (cbrt.f64 (neg.f64 (log1p.f64 (.f64 x -1/2)))))
(pow.f64 (exp.f64 (sqrt.f64 (neg.f64 (log1p.f64 (.f64 x -1/2))))) (sqrt.f64 (neg.f64 (log1p.f64 (.f64 x -1/2)))))
(sqrt.f64 (pow.f64 (fma.f64 x -1/2 1) -2))
(/.f64 1 (fma.f64 x -1/2 1))
(/.f64 -1 (fma.f64 1/2 x -1))
(log.f64 (exp.f64 (/.f64 1 (fma.f64 x -1/2 1))))
(/.f64 1 (fma.f64 x -1/2 1))
(/.f64 -1 (fma.f64 1/2 x -1))
(cbrt.f64 (pow.f64 (fma.f64 x -1/2 1) -3))
(/.f64 1 (fma.f64 x -1/2 1))
(/.f64 -1 (fma.f64 1/2 x -1))
(expm1.f64 (log1p.f64 (/.f64 1 (fma.f64 x -1/2 1))))
(/.f64 1 (fma.f64 x -1/2 1))
(/.f64 -1 (fma.f64 1/2 x -1))
(exp.f64 (neg.f64 (log1p.f64 (*.f64 x -1/2))))
(/.f64 1 (fma.f64 x -1/2 1))
(/.f64 -1 (fma.f64 1/2 x -1))
(exp.f64 (.f64 (.f64 1/3 (neg.f64 (log1p.f64 (*.f64 x -1/2)))) 3))
(/.f64 1 (fma.f64 x -1/2 1))
(/.f64 -1 (fma.f64 1/2 x -1))
(exp.f64 (*.f64 (log.f64 (pow.f64 (fma.f64 x -1/2 1) -3)) 1/3))
(/.f64 1 (fma.f64 x -1/2 1))
(/.f64 -1 (fma.f64 1/2 x -1))
(exp.f64 (.f64 (.f64 -1/2 (log1p.f64 (*.f64 x -1/2))) 2))
(/.f64 1 (fma.f64 x -1/2 1))
(/.f64 -1 (fma.f64 1/2 x -1))
(log1p.f64 (expm1.f64 (/.f64 1 (fma.f64 x -1/2 1))))
(/.f64 1 (fma.f64 x -1/2 1))
(/.f64 -1 (fma.f64 1/2 x -1))

eval40.0ms (1.2%)

Compiler: Compiled 1092 to 931 computations (14.7% saved)

prune14.0ms (0.4%)

Pruning

7 alts after pruning (2 fresh and 5 done)

	Pruned	Kept	Total
New	86	1	87
Fresh	0	1	1
Picked	0	1	1
Done	0	4	4
Total	86	7	93

Accuracy

100.0%

Counts

93 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(/.f64 (expm1.f64 x) x)
✓	100.0%	(/.f64 1 (/.f64 x (expm1.f64 x)))
✓	55.3%	(/.f64 1 (+.f64 1 (*.f64 x -1/2)))
	6.3%	(/.f64 -2 x)
✓	78.2%	(-.f64 (+.f64 1 (/.f64 (expm1.f64 x) x)) 1)
✓	52.3%	(+.f64 1 (*.f64 1/2 x))
	52.1%	1

Compiler

Compiled 94 to 64 computations (31.9% saved)

regimes13.0ms (0.4%)

Counts

10 → 1

Calls

Call 1

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

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

Calls

2 calls:

8.0ms	x
3.0ms	(/.f64 (-.f64 (exp.f64 x) 1) x)

Results

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

Compiler

Compiled 62 to 38 computations (38.7% saved)

regimes10.0ms (0.3%)

Counts

4 → 1

Calls

Call 1

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

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

Calls

1 calls:

9.0ms

Results

Accuracy	Segments	Branch
55.3%	1	`x`

Compiler

Compiled 19 to 15 computations (21.1% saved)

regimes8.0ms (0.2%)

Counts

3 → 2

Calls

Call 1

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

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

Calls

1 calls:

7.0ms

Results

Accuracy	Segments	Branch
56.4%	2	`x`

Compiler

Compiled 12 to 9 computations (25% saved)

regimes8.0ms (0.2%)

Counts

2 → 2

Calls

Call 1

Inputs
1
(/.f64 -2 x)

Outputs
(/.f64 -2 x)
1

Calls

1 calls:

8.0ms

Results

Accuracy	Segments	Branch
55.3%	2	`x`

Compiler

Compiled 7 to 5 computations (28.6% saved)

regimes3.0ms (0.1%)

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

Inputs
1

Outputs
1

Calls

1 calls:

3.0ms

Results

Accuracy	Segments	Branch
52.1%	1	`x`

Compiler

Compiled 4 to 3 computations (25% saved)

bsearch20.0ms (0.6%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
20.0ms	-1.6783975152982054	-7.807311802828088e-12

Results

18.0ms

160×

body

256

valid

Compiler

Compiled 131 to 108 computations (17.6% saved)

bsearch17.0ms (0.5%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
17.0ms	-256334.19476007664	-1.6783975152982054

Results

16.0ms

144×

body

256

valid

Compiler

Compiled 83 to 71 computations (14.5% saved)

simplify3.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	26	101
1	32	101

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(/.f64 (expm1.f64 x) x)
(/.f64 1 (+.f64 1 (*.f64 x -1/2)))
(if (<=.f64 x -6980579422424269/4503599627370496) (/.f64 -2 x) (+.f64 1 (*.f64 1/2 x)))
(if (<=.f64 x -2) (/.f64 -2 x) 1)
1

Outputs
(/.f64 (expm1.f64 x) x)
(/.f64 1 (+.f64 1 (*.f64 x -1/2)))
(if (<=.f64 x -6980579422424269/4503599627370496) (/.f64 -2 x) (+.f64 1 (*.f64 1/2 x)))
(if (<=.f64 x -6980579422424269/4503599627370496) (/.f64 -2 x) (+.f64 1 (*.f64 x 1/2)))
(if (<=.f64 x -2) (/.f64 -2 x) 1)
1

Compiler

Compiled 37 to 29 computations (21.6% saved)

soundness604.0ms (17.5%)

Rules

1784×	`div-sub`
1738×	`prod-diff`
1494×	`fma-neg`
1136×	`fma-def`
1012×	`times-frac`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	88
1	36	88
2	65	86
3	144	80
4	380	80
5	1034	80
6	4094	80
7	7626	80
0	8	17
1	68	17
2	882	17
0	16	91
1	228	91
2	2731	91
0	426	14395
1	970	14019
2	3734	14019

Stop Event

1×	node limit
1×	node limit
1×	node limit
1×	node limit

Compiler

Compiled 56 to 37 computations (33.9% saved)

end0.0ms (0%)

preprocess58.0ms (1.7%)

Compiler: Compiled 126 to 90 computations (28.6% saved)

analyze1.0ms (0%)

sample1.2s (33.7%)

preprocess117.0ms (3.4%)

eval0.0ms (0%)

prune1.0ms (0%)

localize31.0ms (0.9%)

series2.0ms (0%)

rewrite105.0ms (3%)

simplify72.0ms (2.1%)

eval22.0ms (0.6%)

prune14.0ms (0.4%)

localize236.0ms (6.8%)

series29.0ms (0.9%)

rewrite138.0ms (4%)

simplify197.0ms (5.7%)

eval101.0ms (2.9%)

prune70.0ms (2%)

localize25.0ms (0.7%)

series0.0ms (0%)

rewrite55.0ms (1.6%)

simplify69.0ms (2%)

eval40.0ms (1.2%)

prune20.0ms (0.6%)

localize31.0ms (0.9%)

series2.0ms (0%)

rewrite52.0ms (1.5%)

simplify61.0ms (1.8%)

eval40.0ms (1.2%)

prune14.0ms (0.4%)

regimes13.0ms (0.4%)

regimes10.0ms (0.3%)

regimes8.0ms (0.2%)

regimes8.0ms (0.2%)

regimes3.0ms (0.1%)

bsearch20.0ms (0.6%)

bsearch17.0ms (0.5%)

simplify3.0ms (0.1%)

soundness604.0ms (17.5%)

end0.0ms (0%)

preprocess58.0ms (1.7%)

Profiling