Metrics for expq2 (section 3.11)

analyze185.0ms (6.5%)

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	75.2%	24.8%	0%	0%	0%	0
0%	0%	75.2%	24.8%	0%	0%	0%	1
0%	0%	75.2%	24.8%	0%	0%	0%	2
25%	18.8%	56.4%	24.8%	0%	0%	0%	3
37.5%	28.2%	47%	24.8%	0%	0%	0%	4
37.5%	28.2%	47%	24.8%	0%	0%	0%	5
40.6%	30.5%	44.6%	24.8%	0%	0%	0%	6
42.2%	31.7%	43.5%	24.8%	0%	0%	0%	7
42.2%	31.7%	43.5%	24.8%	0%	0%	0%	8
43%	32.3%	42.9%	24.8%	0%	0%	0%	9
43%	32.3%	42.9%	24.8%	0%	0%	0%	10
43.1%	32.4%	42.8%	24.8%	0%	0%	0%	11
43.1%	32.4%	42.8%	24.8%	0%	0%	0%	12

Compiler

Compiled 11 to 7 computations (36.4% saved)

sample1.3s (44.2%)

Results

640.0ms	2730×	body	1024	valid
351.0ms	3985×	body	256	valid
211.0ms	1371×	body	512	valid
45.0ms	167×	body	2048	valid
1.0ms	3×	body	1024	infinite

Bogosity

preprocess130.0ms (4.6%)

Algorithm

1×	egg-herbie

Rules

1256×	`distribute-lft-in`
946×	`fma-neg`
910×	`div-sub`
778×	`times-frac`
652×	`distribute-lft-neg-in`

Problems

159×	`(-.f64 (exp.f64 x) 1)`
97×	No Errors

Iterations

Useful iterations: 7 (0.0ms)

Iter	Nodes	Cost
0	15	104
1	33	102
2	46	102
3	68	102
4	135	82
5	439	82
6	2248	82
7	4558	78

Stop Event

1×	node limit

Calls

Call 1

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

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

Compiler

Compiled 25 to 14 computations (44% saved)

eval0.0ms (0%)

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

prune1.0ms (0%)

Alt Table

Click to see full alt table

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

Compiler

Compiled 12 to 8 computations (33.3% saved)

localize25.0ms (0.9%)

Localize:

Found 1 expressions with local error:

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

Compiler

Compiled 12 to 5 computations (58.3% saved)

series2.0ms (0.1%)

Counts

1 → 12

Calls

3 calls:

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

rewrite172.0ms (6%)

Algorithm

1×	batch-egg-rewrite

Rules

604×	`unpow-prod-down`
430×	`log-prod`
420×	`cbrt-prod`
391×	`log1p-expm1-u`
390×	`expm1-log1p-u`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	21
1	85	21
2	1067	21

Stop Event

1×	node limit

Counts

1 → 62

Calls

Call 1

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

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

simplify82.0ms (2.9%)

Algorithm

1×	egg-herbie

Rules

862×	`times-frac`
636×	`div-sub`
548×	`associate-/l*`
518×	`fma-def`
518×	`exp-prod`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	212	2362
1	523	2266
2	1408	2220
3	5548	1957

Stop Event

1×	node limit

Counts

74 → 103

Calls

Call 1

Inputs
(/.f64 1 x)
(+.f64 1/2 (/.f64 1 x))
(+.f64 1/2 (+.f64 (*.f64 1/12 x) (/.f64 1 x)))
(+.f64 1/2 (+.f64 (.f64 -1/720 (pow.f64 x 3)) (+.f64 (.f64 1/12 x) (/.f64 1 x))))
(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) 1))
(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) 1))
(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) 1))
(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) 1))
(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) 1))
(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) 1))
(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) 1))
(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) 1))
(+.f64 0 (/.f64 (exp.f64 x) (expm1.f64 x)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 (exp.f64 x) (expm1.f64 x)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (exp.f64 x) (expm1.f64 x))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (exp.f64 x) (expm1.f64 x))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (exp.f64 x) (expm1.f64 x))))))
(-.f64 (+.f64 1 (/.f64 (exp.f64 x) (expm1.f64 x))) 1)
(*.f64 (exp.f64 x) (/.f64 1 (expm1.f64 x)))
(*.f64 (/.f64 (exp.f64 x) (expm1.f64 x)) 1)
(*.f64 1 (/.f64 (exp.f64 x) (expm1.f64 x)))
(.f64 (pow.f64 (cbrt.f64 (exp.f64 x)) 2) (.f64 (cbrt.f64 (exp.f64 x)) (/.f64 1 (expm1.f64 x))))
(*.f64 (cbrt.f64 (/.f64 (exp.f64 x) (expm1.f64 x))) (cbrt.f64 (pow.f64 (-.f64 1 (exp.f64 (neg.f64 x))) -2)))
(*.f64 (cbrt.f64 (pow.f64 (-.f64 1 (exp.f64 (neg.f64 x))) -2)) (cbrt.f64 (/.f64 (exp.f64 x) (expm1.f64 x))))
(.f64 (sqrt.f64 (exp.f64 x)) (.f64 (sqrt.f64 (exp.f64 x)) (/.f64 1 (expm1.f64 x))))
(*.f64 (pow.f64 (-.f64 1 (exp.f64 (neg.f64 x))) -1/2) (pow.f64 (-.f64 1 (exp.f64 (neg.f64 x))) -1/2))
(*.f64 (neg.f64 (exp.f64 x)) (/.f64 1 (neg.f64 (expm1.f64 x))))
(*.f64 (/.f64 1 (expm1.f64 x)) (exp.f64 x))
(*.f64 (/.f64 1 (expm1.f64 x)) (pow.f64 (exp.f64 (neg.f64 x)) -1))
(*.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) -2) (/.f64 (exp.f64 x) (cbrt.f64 (expm1.f64 x))))
(*.f64 (pow.f64 (expm1.f64 x) -1/2) (/.f64 (exp.f64 x) (sqrt.f64 (expm1.f64 x))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (exp.f64 x)) 2) 1) (/.f64 (cbrt.f64 (exp.f64 x)) (expm1.f64 x)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (exp.f64 x)) 2) (sqrt.f64 (expm1.f64 x))) (/.f64 (cbrt.f64 (exp.f64 x)) (sqrt.f64 (expm1.f64 x))))
(*.f64 (/.f64 (sqrt.f64 (exp.f64 x)) 1) (/.f64 (sqrt.f64 (exp.f64 x)) (expm1.f64 x)))
(*.f64 (/.f64 (sqrt.f64 (exp.f64 x)) (pow.f64 (cbrt.f64 (expm1.f64 x)) 2)) (/.f64 (sqrt.f64 (exp.f64 x)) (cbrt.f64 (expm1.f64 x))))
(*.f64 (pow.f64 1 1/3) (/.f64 (exp.f64 x) (expm1.f64 x)))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (/.f64 (exp.f64 x) (expm1.f64 x)))) 3) (pow.f64 (sqrt.f64 (cbrt.f64 (/.f64 (exp.f64 x) (expm1.f64 x)))) 3))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (-.f64 1 (exp.f64 (neg.f64 x))) -3)) 1/3) (pow.f64 (sqrt.f64 (pow.f64 (-.f64 1 (exp.f64 (neg.f64 x))) -3)) 1/3))
(.f64 (pow.f64 (.f64 (pow.f64 (-.f64 1 (exp.f64 (neg.f64 x))) -2) (exp.f64 x)) 1/3) (/.f64 1 (cbrt.f64 (expm1.f64 x))))
(.f64 (pow.f64 (pow.f64 (.f64 (/.f64 (exp.f64 x) (expm1.f64 x)) (cbrt.f64 (/.f64 (exp.f64 x) (expm1.f64 x)))) 2) 1/3) (cbrt.f64 (cbrt.f64 (/.f64 (exp.f64 x) (expm1.f64 x)))))
(*.f64 (pow.f64 (pow.f64 (/.f64 (exp.f64 x) (expm1.f64 x)) 5/2) 1/3) (cbrt.f64 (pow.f64 (-.f64 1 (exp.f64 (neg.f64 x))) -1/2)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (-.f64 1 (exp.f64 (neg.f64 x)))) 2) -1) (cbrt.f64 (/.f64 (exp.f64 x) (expm1.f64 x))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (exp.f64 x)) -2) -1) (pow.f64 (/.f64 (expm1.f64 x) (cbrt.f64 (exp.f64 x))) -1))
(*.f64 (pow.f64 (pow.f64 (exp.f64 x) -1/2) -1) (pow.f64 (/.f64 (expm1.f64 x) (sqrt.f64 (exp.f64 x))) -1))
(*.f64 (pow.f64 (/.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) 2) 1) -1) (pow.f64 (/.f64 (cbrt.f64 (expm1.f64 x)) (exp.f64 x)) -1))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (pow.f64 (expm1.f64 x) 2) (pow.f64 (exp.f64 x) 2))) -1) (cbrt.f64 (/.f64 (exp.f64 x) (expm1.f64 x))))
(*.f64 (pow.f64 (/.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) 2) (sqrt.f64 (exp.f64 x))) -1) (pow.f64 (/.f64 (cbrt.f64 (expm1.f64 x)) (sqrt.f64 (exp.f64 x))) -1))
(*.f64 (pow.f64 (/.f64 (sqrt.f64 (expm1.f64 x)) 1) -1) (pow.f64 (/.f64 (sqrt.f64 (expm1.f64 x)) (exp.f64 x)) -1))
(*.f64 (pow.f64 (/.f64 (sqrt.f64 (expm1.f64 x)) (pow.f64 (cbrt.f64 (exp.f64 x)) 2)) -1) (pow.f64 (/.f64 (sqrt.f64 (expm1.f64 x)) (cbrt.f64 (exp.f64 x))) -1))
(*.f64 (pow.f64 (/.f64 (sqrt.f64 (expm1.f64 x)) (sqrt.f64 (exp.f64 x))) -1) (pow.f64 (/.f64 (sqrt.f64 (expm1.f64 x)) (sqrt.f64 (exp.f64 x))) -1))
(*.f64 (cbrt.f64 (sqrt.f64 (pow.f64 (-.f64 1 (exp.f64 (neg.f64 x))) -3))) (cbrt.f64 (sqrt.f64 (pow.f64 (-.f64 1 (exp.f64 (neg.f64 x))) -3))))
(.f64 (cbrt.f64 (.f64 (pow.f64 (-.f64 1 (exp.f64 (neg.f64 x))) -2) (exp.f64 x))) (/.f64 1 (cbrt.f64 (expm1.f64 x))))
(.f64 (cbrt.f64 (pow.f64 (.f64 (/.f64 (exp.f64 x) (expm1.f64 x)) (cbrt.f64 (/.f64 (exp.f64 x) (expm1.f64 x)))) 2)) (cbrt.f64 (cbrt.f64 (/.f64 (exp.f64 x) (expm1.f64 x)))))
(*.f64 (cbrt.f64 (pow.f64 (/.f64 (exp.f64 x) (expm1.f64 x)) 5/2)) (cbrt.f64 (pow.f64 (-.f64 1 (exp.f64 (neg.f64 x))) -1/2)))
(pow.f64 (/.f64 (exp.f64 x) (expm1.f64 x)) 1)
(pow.f64 (cbrt.f64 (/.f64 (exp.f64 x) (expm1.f64 x))) 3)
(pow.f64 (pow.f64 (-.f64 1 (exp.f64 (neg.f64 x))) -2) 1/2)
(pow.f64 (pow.f64 (-.f64 1 (exp.f64 (neg.f64 x))) -3) 1/3)
(pow.f64 (pow.f64 (-.f64 1 (exp.f64 (neg.f64 x))) -1/2) 2)
(pow.f64 (-.f64 1 (exp.f64 (neg.f64 x))) -1)
(pow.f64 (E.f64) (-.f64 x (log.f64 (expm1.f64 x))))
(pow.f64 (/.f64 (-.f64 1 (exp.f64 (neg.f64 x))) 1) -1)
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (-.f64 x (log.f64 (expm1.f64 x)))) 2)) (cbrt.f64 (-.f64 x (log.f64 (expm1.f64 x)))))
(pow.f64 (exp.f64 (sqrt.f64 (-.f64 x (log.f64 (expm1.f64 x))))) (sqrt.f64 (-.f64 x (log.f64 (expm1.f64 x)))))
(neg.f64 (/.f64 (exp.f64 x) (neg.f64 (expm1.f64 x))))
(sqrt.f64 (pow.f64 (-.f64 1 (exp.f64 (neg.f64 x))) -2))
(log.f64 (exp.f64 (/.f64 (exp.f64 x) (expm1.f64 x))))
(cbrt.f64 (pow.f64 (-.f64 1 (exp.f64 (neg.f64 x))) -3))
(cbrt.f64 (/.f64 (pow.f64 (neg.f64 (exp.f64 x)) 3) (pow.f64 (neg.f64 (expm1.f64 x)) 3)))
(expm1.f64 (log1p.f64 (/.f64 (exp.f64 x) (expm1.f64 x))))
(exp.f64 (-.f64 x (log.f64 (expm1.f64 x))))
(exp.f64 (.f64 (.f64 1/3 (-.f64 x (log.f64 (expm1.f64 x)))) 3))
(exp.f64 (.f64 (.f64 3 (-.f64 x (log.f64 (expm1.f64 x)))) 1/3))
(exp.f64 (.f64 (.f64 1/2 (-.f64 x (log.f64 (expm1.f64 x)))) 2))
(exp.f64 (*.f64 (-.f64 (log.f64 (expm1.f64 x)) x) -1))
(log1p.f64 (expm1.f64 (/.f64 (exp.f64 x) (expm1.f64 x))))

Outputs
(/.f64 1 x)
(+.f64 1/2 (/.f64 1 x))
(+.f64 (/.f64 1 x) 1/2)
(+.f64 1/2 (+.f64 (*.f64 1/12 x) (/.f64 1 x)))
(+.f64 1/2 (fma.f64 1/12 x (/.f64 1 x)))
(+.f64 1/2 (fma.f64 x 1/12 (/.f64 1 x)))
(+.f64 (/.f64 1 x) (fma.f64 x 1/12 1/2))
(+.f64 1/2 (+.f64 (.f64 -1/720 (pow.f64 x 3)) (+.f64 (.f64 1/12 x) (/.f64 1 x))))
(+.f64 1/2 (fma.f64 -1/720 (pow.f64 x 3) (fma.f64 1/12 x (/.f64 1 x))))
(+.f64 1/2 (fma.f64 -1/720 (pow.f64 x 3) (fma.f64 x 1/12 (/.f64 1 x))))
(+.f64 (fma.f64 x 1/12 (/.f64 1 x)) (fma.f64 -1/720 (pow.f64 x 3) 1/2))
(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) 1))
(/.f64 (exp.f64 x) (expm1.f64 x))
(/.f64 -1 (expm1.f64 (neg.f64 x)))
(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) 1))
(/.f64 (exp.f64 x) (expm1.f64 x))
(/.f64 -1 (expm1.f64 (neg.f64 x)))
(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) 1))
(/.f64 (exp.f64 x) (expm1.f64 x))
(/.f64 -1 (expm1.f64 (neg.f64 x)))
(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) 1))
(/.f64 (exp.f64 x) (expm1.f64 x))
(/.f64 -1 (expm1.f64 (neg.f64 x)))
(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) 1))
(/.f64 (exp.f64 x) (expm1.f64 x))
(/.f64 -1 (expm1.f64 (neg.f64 x)))
(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) 1))
(/.f64 (exp.f64 x) (expm1.f64 x))
(/.f64 -1 (expm1.f64 (neg.f64 x)))
(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) 1))
(/.f64 (exp.f64 x) (expm1.f64 x))
(/.f64 -1 (expm1.f64 (neg.f64 x)))
(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) 1))
(/.f64 (exp.f64 x) (expm1.f64 x))
(/.f64 -1 (expm1.f64 (neg.f64 x)))
(+.f64 0 (/.f64 (exp.f64 x) (expm1.f64 x)))
(/.f64 (exp.f64 x) (expm1.f64 x))
(/.f64 -1 (expm1.f64 (neg.f64 x)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 (exp.f64 x) (expm1.f64 x)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (exp.f64 x) (expm1.f64 x))))))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (exp.f64 (/.f64 (exp.f64 x) (expm1.f64 x)))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (exp.f64 x) (expm1.f64 x))))))
(*.f64 3 (log.f64 (cbrt.f64 (exp.f64 (/.f64 (exp.f64 x) (expm1.f64 x))))))
(*.f64 3 (log.f64 (cbrt.f64 (exp.f64 (/.f64 -1 (expm1.f64 (neg.f64 x)))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (exp.f64 x) (expm1.f64 x))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (exp.f64 x) (expm1.f64 x))))))
(/.f64 (exp.f64 x) (expm1.f64 x))
(/.f64 -1 (expm1.f64 (neg.f64 x)))
(-.f64 (+.f64 1 (/.f64 (exp.f64 x) (expm1.f64 x))) 1)
(/.f64 (exp.f64 x) (expm1.f64 x))
(/.f64 -1 (expm1.f64 (neg.f64 x)))
(*.f64 (exp.f64 x) (/.f64 1 (expm1.f64 x)))
(/.f64 (exp.f64 x) (expm1.f64 x))
(/.f64 -1 (expm1.f64 (neg.f64 x)))
(*.f64 (/.f64 (exp.f64 x) (expm1.f64 x)) 1)
(/.f64 (exp.f64 x) (expm1.f64 x))
(/.f64 -1 (expm1.f64 (neg.f64 x)))
(*.f64 1 (/.f64 (exp.f64 x) (expm1.f64 x)))
(/.f64 (exp.f64 x) (expm1.f64 x))
(/.f64 -1 (expm1.f64 (neg.f64 x)))
(.f64 (pow.f64 (cbrt.f64 (exp.f64 x)) 2) (.f64 (cbrt.f64 (exp.f64 x)) (/.f64 1 (expm1.f64 x))))
(/.f64 (exp.f64 x) (expm1.f64 x))
(/.f64 -1 (expm1.f64 (neg.f64 x)))
(*.f64 (cbrt.f64 (/.f64 (exp.f64 x) (expm1.f64 x))) (cbrt.f64 (pow.f64 (-.f64 1 (exp.f64 (neg.f64 x))) -2)))
(*.f64 (cbrt.f64 (/.f64 -1 (expm1.f64 (neg.f64 x)))) (cbrt.f64 (pow.f64 (neg.f64 (expm1.f64 (neg.f64 x))) -2)))
(*.f64 (cbrt.f64 (pow.f64 (-.f64 1 (exp.f64 (neg.f64 x))) -2)) (cbrt.f64 (/.f64 (exp.f64 x) (expm1.f64 x))))
(*.f64 (cbrt.f64 (/.f64 (exp.f64 x) (expm1.f64 x))) (cbrt.f64 (pow.f64 (-.f64 1 (exp.f64 (neg.f64 x))) -2)))
(*.f64 (cbrt.f64 (/.f64 -1 (expm1.f64 (neg.f64 x)))) (cbrt.f64 (pow.f64 (neg.f64 (expm1.f64 (neg.f64 x))) -2)))
(.f64 (sqrt.f64 (exp.f64 x)) (.f64 (sqrt.f64 (exp.f64 x)) (/.f64 1 (expm1.f64 x))))
(/.f64 (exp.f64 x) (expm1.f64 x))
(/.f64 -1 (expm1.f64 (neg.f64 x)))
(*.f64 (pow.f64 (-.f64 1 (exp.f64 (neg.f64 x))) -1/2) (pow.f64 (-.f64 1 (exp.f64 (neg.f64 x))) -1/2))
(/.f64 (exp.f64 x) (expm1.f64 x))
(/.f64 -1 (expm1.f64 (neg.f64 x)))
(*.f64 (neg.f64 (exp.f64 x)) (/.f64 1 (neg.f64 (expm1.f64 x))))
(/.f64 (exp.f64 x) (expm1.f64 x))
(/.f64 -1 (expm1.f64 (neg.f64 x)))
(*.f64 (/.f64 1 (expm1.f64 x)) (exp.f64 x))
(/.f64 (exp.f64 x) (expm1.f64 x))
(/.f64 -1 (expm1.f64 (neg.f64 x)))
(*.f64 (/.f64 1 (expm1.f64 x)) (pow.f64 (exp.f64 (neg.f64 x)) -1))
(/.f64 (exp.f64 x) (expm1.f64 x))
(/.f64 -1 (expm1.f64 (neg.f64 x)))
(*.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) -2) (/.f64 (exp.f64 x) (cbrt.f64 (expm1.f64 x))))
(/.f64 (exp.f64 x) (expm1.f64 x))
(/.f64 -1 (expm1.f64 (neg.f64 x)))
(*.f64 (pow.f64 (expm1.f64 x) -1/2) (/.f64 (exp.f64 x) (sqrt.f64 (expm1.f64 x))))
(/.f64 (pow.f64 (expm1.f64 x) -1/2) (/.f64 (sqrt.f64 (expm1.f64 x)) (exp.f64 x)))
(/.f64 (exp.f64 x) (/.f64 (sqrt.f64 (expm1.f64 x)) (pow.f64 (expm1.f64 x) -1/2)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (exp.f64 x)) 2) 1) (/.f64 (cbrt.f64 (exp.f64 x)) (expm1.f64 x)))
(/.f64 (exp.f64 x) (expm1.f64 x))
(/.f64 -1 (expm1.f64 (neg.f64 x)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (exp.f64 x)) 2) (sqrt.f64 (expm1.f64 x))) (/.f64 (cbrt.f64 (exp.f64 x)) (sqrt.f64 (expm1.f64 x))))
(/.f64 (exp.f64 x) (expm1.f64 x))
(/.f64 -1 (expm1.f64 (neg.f64 x)))
(*.f64 (/.f64 (sqrt.f64 (exp.f64 x)) 1) (/.f64 (sqrt.f64 (exp.f64 x)) (expm1.f64 x)))
(/.f64 (exp.f64 x) (expm1.f64 x))
(/.f64 -1 (expm1.f64 (neg.f64 x)))
(*.f64 (/.f64 (sqrt.f64 (exp.f64 x)) (pow.f64 (cbrt.f64 (expm1.f64 x)) 2)) (/.f64 (sqrt.f64 (exp.f64 x)) (cbrt.f64 (expm1.f64 x))))
(/.f64 (exp.f64 x) (expm1.f64 x))
(/.f64 -1 (expm1.f64 (neg.f64 x)))
(*.f64 (pow.f64 1 1/3) (/.f64 (exp.f64 x) (expm1.f64 x)))
(/.f64 (exp.f64 x) (expm1.f64 x))
(/.f64 -1 (expm1.f64 (neg.f64 x)))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (/.f64 (exp.f64 x) (expm1.f64 x)))) 3) (pow.f64 (sqrt.f64 (cbrt.f64 (/.f64 (exp.f64 x) (expm1.f64 x)))) 3))
(/.f64 (exp.f64 x) (expm1.f64 x))
(/.f64 -1 (expm1.f64 (neg.f64 x)))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (-.f64 1 (exp.f64 (neg.f64 x))) -3)) 1/3) (pow.f64 (sqrt.f64 (pow.f64 (-.f64 1 (exp.f64 (neg.f64 x))) -3)) 1/3))
(*.f64 (cbrt.f64 (sqrt.f64 (pow.f64 (-.f64 1 (exp.f64 (neg.f64 x))) -3))) (cbrt.f64 (sqrt.f64 (pow.f64 (-.f64 1 (exp.f64 (neg.f64 x))) -3))))
(*.f64 (cbrt.f64 (pow.f64 (-.f64 1 (exp.f64 (neg.f64 x))) -3/2)) (cbrt.f64 (pow.f64 (-.f64 1 (exp.f64 (neg.f64 x))) -3/2)))
(pow.f64 (pow.f64 (pow.f64 (neg.f64 (expm1.f64 (neg.f64 x))) -3/2) 1/6) 4)
(.f64 (pow.f64 (.f64 (pow.f64 (-.f64 1 (exp.f64 (neg.f64 x))) -2) (exp.f64 x)) 1/3) (/.f64 1 (cbrt.f64 (expm1.f64 x))))
(.f64 (cbrt.f64 (.f64 (exp.f64 x) (pow.f64 (-.f64 1 (exp.f64 (neg.f64 x))) -2))) (/.f64 1 (cbrt.f64 (expm1.f64 x))))
(/.f64 (cbrt.f64 (*.f64 (exp.f64 x) (pow.f64 (-.f64 1 (exp.f64 (neg.f64 x))) -2))) (cbrt.f64 (expm1.f64 x)))
(/.f64 (cbrt.f64 (*.f64 (exp.f64 x) (pow.f64 (neg.f64 (expm1.f64 (neg.f64 x))) -2))) (cbrt.f64 (expm1.f64 x)))
(.f64 (pow.f64 (pow.f64 (.f64 (/.f64 (exp.f64 x) (expm1.f64 x)) (cbrt.f64 (/.f64 (exp.f64 x) (expm1.f64 x)))) 2) 1/3) (cbrt.f64 (cbrt.f64 (/.f64 (exp.f64 x) (expm1.f64 x)))))
(.f64 (cbrt.f64 (pow.f64 (.f64 (/.f64 (exp.f64 x) (expm1.f64 x)) (cbrt.f64 (/.f64 (exp.f64 x) (expm1.f64 x)))) 2)) (cbrt.f64 (cbrt.f64 (/.f64 (exp.f64 x) (expm1.f64 x)))))
(*.f64 (cbrt.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 (exp.f64 x) (expm1.f64 x))) 4) 2)) (cbrt.f64 (cbrt.f64 (/.f64 (exp.f64 x) (expm1.f64 x)))))
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (/.f64 (exp.f64 x) (expm1.f64 x))) 8)) (cbrt.f64 (cbrt.f64 (/.f64 (exp.f64 x) (expm1.f64 x)))))
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (/.f64 -1 (expm1.f64 (neg.f64 x)))) 8)) (cbrt.f64 (cbrt.f64 (/.f64 -1 (expm1.f64 (neg.f64 x))))))
(*.f64 (pow.f64 (pow.f64 (/.f64 (exp.f64 x) (expm1.f64 x)) 5/2) 1/3) (cbrt.f64 (pow.f64 (-.f64 1 (exp.f64 (neg.f64 x))) -1/2)))
(*.f64 (cbrt.f64 (pow.f64 (/.f64 (exp.f64 x) (expm1.f64 x)) 5/2)) (cbrt.f64 (pow.f64 (-.f64 1 (exp.f64 (neg.f64 x))) -1/2)))
(*.f64 (cbrt.f64 (pow.f64 (/.f64 -1 (expm1.f64 (neg.f64 x))) 5/2)) (cbrt.f64 (pow.f64 (neg.f64 (expm1.f64 (neg.f64 x))) -1/2)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (-.f64 1 (exp.f64 (neg.f64 x)))) 2) -1) (cbrt.f64 (/.f64 (exp.f64 x) (expm1.f64 x))))
(*.f64 (cbrt.f64 (/.f64 (exp.f64 x) (expm1.f64 x))) (/.f64 1 (pow.f64 (cbrt.f64 (-.f64 1 (exp.f64 (neg.f64 x)))) 2)))
(/.f64 (*.f64 1 (cbrt.f64 (/.f64 (exp.f64 x) (expm1.f64 x)))) (pow.f64 (cbrt.f64 (-.f64 1 (exp.f64 (neg.f64 x)))) 2))
(/.f64 (cbrt.f64 (/.f64 (exp.f64 x) (expm1.f64 x))) (pow.f64 (cbrt.f64 (-.f64 1 (exp.f64 (neg.f64 x)))) 2))
(/.f64 (cbrt.f64 (/.f64 -1 (expm1.f64 (neg.f64 x)))) (pow.f64 (cbrt.f64 (neg.f64 (expm1.f64 (neg.f64 x)))) 2))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (exp.f64 x)) -2) -1) (pow.f64 (/.f64 (expm1.f64 x) (cbrt.f64 (exp.f64 x))) -1))
(/.f64 (exp.f64 x) (expm1.f64 x))
(/.f64 -1 (expm1.f64 (neg.f64 x)))
(*.f64 (pow.f64 (pow.f64 (exp.f64 x) -1/2) -1) (pow.f64 (/.f64 (expm1.f64 x) (sqrt.f64 (exp.f64 x))) -1))
(*.f64 (/.f64 1 (pow.f64 (exp.f64 x) -1/2)) (/.f64 1 (/.f64 (expm1.f64 x) (sqrt.f64 (exp.f64 x)))))
(/.f64 (*.f64 1 (/.f64 (sqrt.f64 (exp.f64 x)) (expm1.f64 x))) (pow.f64 (exp.f64 x) -1/2))
(/.f64 (/.f64 (sqrt.f64 (exp.f64 x)) (expm1.f64 x)) (pow.f64 (exp.f64 x) -1/2))
(*.f64 (pow.f64 (/.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) 2) 1) -1) (pow.f64 (/.f64 (cbrt.f64 (expm1.f64 x)) (exp.f64 x)) -1))
(/.f64 (exp.f64 x) (expm1.f64 x))
(/.f64 -1 (expm1.f64 (neg.f64 x)))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (pow.f64 (expm1.f64 x) 2) (pow.f64 (exp.f64 x) 2))) -1) (cbrt.f64 (/.f64 (exp.f64 x) (expm1.f64 x))))
(*.f64 (cbrt.f64 (/.f64 (exp.f64 x) (expm1.f64 x))) (/.f64 1 (cbrt.f64 (/.f64 (pow.f64 (expm1.f64 x) 2) (pow.f64 (exp.f64 x) 2)))))
(/.f64 (*.f64 1 (cbrt.f64 (/.f64 (exp.f64 x) (expm1.f64 x)))) (cbrt.f64 (/.f64 (pow.f64 (expm1.f64 x) 2) (pow.f64 (exp.f64 x) 2))))
(/.f64 (cbrt.f64 (/.f64 (exp.f64 x) (expm1.f64 x))) (cbrt.f64 (/.f64 1 (pow.f64 (/.f64 (exp.f64 x) (expm1.f64 x)) 2))))
(/.f64 (cbrt.f64 (/.f64 -1 (expm1.f64 (neg.f64 x)))) (cbrt.f64 (/.f64 1 (pow.f64 (neg.f64 (expm1.f64 (neg.f64 x))) -2))))
(*.f64 (pow.f64 (/.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) 2) (sqrt.f64 (exp.f64 x))) -1) (pow.f64 (/.f64 (cbrt.f64 (expm1.f64 x)) (sqrt.f64 (exp.f64 x))) -1))
(/.f64 (exp.f64 x) (expm1.f64 x))
(/.f64 -1 (expm1.f64 (neg.f64 x)))
(*.f64 (pow.f64 (/.f64 (sqrt.f64 (expm1.f64 x)) 1) -1) (pow.f64 (/.f64 (sqrt.f64 (expm1.f64 x)) (exp.f64 x)) -1))
(/.f64 (exp.f64 x) (expm1.f64 x))
(/.f64 -1 (expm1.f64 (neg.f64 x)))
(*.f64 (pow.f64 (/.f64 (sqrt.f64 (expm1.f64 x)) (pow.f64 (cbrt.f64 (exp.f64 x)) 2)) -1) (pow.f64 (/.f64 (sqrt.f64 (expm1.f64 x)) (cbrt.f64 (exp.f64 x))) -1))
(/.f64 (exp.f64 x) (expm1.f64 x))
(/.f64 -1 (expm1.f64 (neg.f64 x)))
(*.f64 (pow.f64 (/.f64 (sqrt.f64 (expm1.f64 x)) (sqrt.f64 (exp.f64 x))) -1) (pow.f64 (/.f64 (sqrt.f64 (expm1.f64 x)) (sqrt.f64 (exp.f64 x))) -1))
(/.f64 (exp.f64 x) (expm1.f64 x))
(/.f64 -1 (expm1.f64 (neg.f64 x)))
(*.f64 (cbrt.f64 (sqrt.f64 (pow.f64 (-.f64 1 (exp.f64 (neg.f64 x))) -3))) (cbrt.f64 (sqrt.f64 (pow.f64 (-.f64 1 (exp.f64 (neg.f64 x))) -3))))
(*.f64 (cbrt.f64 (pow.f64 (-.f64 1 (exp.f64 (neg.f64 x))) -3/2)) (cbrt.f64 (pow.f64 (-.f64 1 (exp.f64 (neg.f64 x))) -3/2)))
(pow.f64 (pow.f64 (pow.f64 (neg.f64 (expm1.f64 (neg.f64 x))) -3/2) 1/6) 4)
(.f64 (cbrt.f64 (.f64 (pow.f64 (-.f64 1 (exp.f64 (neg.f64 x))) -2) (exp.f64 x))) (/.f64 1 (cbrt.f64 (expm1.f64 x))))
(.f64 (cbrt.f64 (.f64 (exp.f64 x) (pow.f64 (-.f64 1 (exp.f64 (neg.f64 x))) -2))) (/.f64 1 (cbrt.f64 (expm1.f64 x))))
(/.f64 (cbrt.f64 (*.f64 (exp.f64 x) (pow.f64 (-.f64 1 (exp.f64 (neg.f64 x))) -2))) (cbrt.f64 (expm1.f64 x)))
(/.f64 (cbrt.f64 (*.f64 (exp.f64 x) (pow.f64 (neg.f64 (expm1.f64 (neg.f64 x))) -2))) (cbrt.f64 (expm1.f64 x)))
(.f64 (cbrt.f64 (pow.f64 (.f64 (/.f64 (exp.f64 x) (expm1.f64 x)) (cbrt.f64 (/.f64 (exp.f64 x) (expm1.f64 x)))) 2)) (cbrt.f64 (cbrt.f64 (/.f64 (exp.f64 x) (expm1.f64 x)))))
(*.f64 (cbrt.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 (exp.f64 x) (expm1.f64 x))) 4) 2)) (cbrt.f64 (cbrt.f64 (/.f64 (exp.f64 x) (expm1.f64 x)))))
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (/.f64 (exp.f64 x) (expm1.f64 x))) 8)) (cbrt.f64 (cbrt.f64 (/.f64 (exp.f64 x) (expm1.f64 x)))))
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (/.f64 -1 (expm1.f64 (neg.f64 x)))) 8)) (cbrt.f64 (cbrt.f64 (/.f64 -1 (expm1.f64 (neg.f64 x))))))
(*.f64 (cbrt.f64 (pow.f64 (/.f64 (exp.f64 x) (expm1.f64 x)) 5/2)) (cbrt.f64 (pow.f64 (-.f64 1 (exp.f64 (neg.f64 x))) -1/2)))
(*.f64 (cbrt.f64 (pow.f64 (/.f64 -1 (expm1.f64 (neg.f64 x))) 5/2)) (cbrt.f64 (pow.f64 (neg.f64 (expm1.f64 (neg.f64 x))) -1/2)))
(pow.f64 (/.f64 (exp.f64 x) (expm1.f64 x)) 1)
(/.f64 (exp.f64 x) (expm1.f64 x))
(/.f64 -1 (expm1.f64 (neg.f64 x)))
(pow.f64 (cbrt.f64 (/.f64 (exp.f64 x) (expm1.f64 x))) 3)
(/.f64 (exp.f64 x) (expm1.f64 x))
(/.f64 -1 (expm1.f64 (neg.f64 x)))
(pow.f64 (pow.f64 (-.f64 1 (exp.f64 (neg.f64 x))) -2) 1/2)
(/.f64 (exp.f64 x) (expm1.f64 x))
(/.f64 -1 (expm1.f64 (neg.f64 x)))
(pow.f64 (pow.f64 (-.f64 1 (exp.f64 (neg.f64 x))) -3) 1/3)
(cbrt.f64 (pow.f64 (-.f64 1 (exp.f64 (neg.f64 x))) -3))
(cbrt.f64 (pow.f64 (neg.f64 (expm1.f64 (neg.f64 x))) -3))
(pow.f64 (pow.f64 (-.f64 1 (exp.f64 (neg.f64 x))) -1/2) 2)
(/.f64 (exp.f64 x) (expm1.f64 x))
(/.f64 -1 (expm1.f64 (neg.f64 x)))
(pow.f64 (-.f64 1 (exp.f64 (neg.f64 x))) -1)
(/.f64 (exp.f64 x) (expm1.f64 x))
(/.f64 -1 (expm1.f64 (neg.f64 x)))
(pow.f64 (E.f64) (-.f64 x (log.f64 (expm1.f64 x))))
(/.f64 (exp.f64 x) (expm1.f64 x))
(/.f64 -1 (expm1.f64 (neg.f64 x)))
(pow.f64 (/.f64 (-.f64 1 (exp.f64 (neg.f64 x))) 1) -1)
(/.f64 (exp.f64 x) (expm1.f64 x))
(/.f64 -1 (expm1.f64 (neg.f64 x)))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (-.f64 x (log.f64 (expm1.f64 x)))) 2)) (cbrt.f64 (-.f64 x (log.f64 (expm1.f64 x)))))
(pow.f64 (exp.f64 (sqrt.f64 (-.f64 x (log.f64 (expm1.f64 x))))) (sqrt.f64 (-.f64 x (log.f64 (expm1.f64 x)))))
(neg.f64 (/.f64 (exp.f64 x) (neg.f64 (expm1.f64 x))))
(/.f64 (exp.f64 x) (expm1.f64 x))
(/.f64 -1 (expm1.f64 (neg.f64 x)))
(sqrt.f64 (pow.f64 (-.f64 1 (exp.f64 (neg.f64 x))) -2))
(/.f64 (exp.f64 x) (expm1.f64 x))
(/.f64 -1 (expm1.f64 (neg.f64 x)))
(log.f64 (exp.f64 (/.f64 (exp.f64 x) (expm1.f64 x))))
(/.f64 (exp.f64 x) (expm1.f64 x))
(/.f64 -1 (expm1.f64 (neg.f64 x)))
(cbrt.f64 (pow.f64 (-.f64 1 (exp.f64 (neg.f64 x))) -3))
(cbrt.f64 (pow.f64 (neg.f64 (expm1.f64 (neg.f64 x))) -3))
(cbrt.f64 (/.f64 (pow.f64 (neg.f64 (exp.f64 x)) 3) (pow.f64 (neg.f64 (expm1.f64 x)) 3)))
(/.f64 (exp.f64 x) (expm1.f64 x))
(/.f64 -1 (expm1.f64 (neg.f64 x)))
(expm1.f64 (log1p.f64 (/.f64 (exp.f64 x) (expm1.f64 x))))
(/.f64 (exp.f64 x) (expm1.f64 x))
(/.f64 -1 (expm1.f64 (neg.f64 x)))
(exp.f64 (-.f64 x (log.f64 (expm1.f64 x))))
(/.f64 (exp.f64 x) (expm1.f64 x))
(/.f64 -1 (expm1.f64 (neg.f64 x)))
(exp.f64 (.f64 (.f64 1/3 (-.f64 x (log.f64 (expm1.f64 x)))) 3))
(/.f64 (exp.f64 x) (expm1.f64 x))
(/.f64 -1 (expm1.f64 (neg.f64 x)))
(exp.f64 (.f64 (.f64 3 (-.f64 x (log.f64 (expm1.f64 x)))) 1/3))
(/.f64 (exp.f64 x) (expm1.f64 x))
(/.f64 -1 (expm1.f64 (neg.f64 x)))
(exp.f64 (.f64 (.f64 1/2 (-.f64 x (log.f64 (expm1.f64 x)))) 2))
(/.f64 (exp.f64 x) (expm1.f64 x))
(/.f64 -1 (expm1.f64 (neg.f64 x)))
(exp.f64 (*.f64 (-.f64 (log.f64 (expm1.f64 x)) x) -1))
(/.f64 (exp.f64 x) (expm1.f64 x))
(/.f64 -1 (expm1.f64 (neg.f64 x)))
(log1p.f64 (expm1.f64 (/.f64 (exp.f64 x) (expm1.f64 x))))
(/.f64 (exp.f64 x) (expm1.f64 x))
(/.f64 -1 (expm1.f64 (neg.f64 x)))

eval22.0ms (0.8%)

Compiler: Compiled 1310 to 613 computations (53.2% saved)

prune18.0ms (0.6%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	98	5	103
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	98	6	104

Accuracy

100.0%

Counts

104 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(/.f64 (exp.f64 x) (expm1.f64 x))
▶	62.3%	(/.f64 1 x)
▶	100.0%	(/.f64 -1 (expm1.f64 (neg.f64 x)))
▶	62.6%	(+.f64 (/.f64 1 x) 1/2)
▶	62.9%	(+.f64 1/2 (+.f64 (*.f64 1/12 x) (/.f64 1 x)))
▶	63.9%	(cbrt.f64 (pow.f64 (neg.f64 (expm1.f64 (neg.f64 x))) -3))
✓	100.0%	(/.f64 (exp.f64 x) (expm1.f64 x))
▶	62.3%	(/.f64 1 x)
▶	100.0%	(/.f64 -1 (expm1.f64 (neg.f64 x)))
▶	62.6%	(+.f64 (/.f64 1 x) 1/2)
▶	62.9%	(+.f64 1/2 (+.f64 (*.f64 1/12 x) (/.f64 1 x)))
▶	63.9%	(cbrt.f64 (pow.f64 (neg.f64 (expm1.f64 (neg.f64 x))) -3))

Compiler

Compiled 148 to 120 computations (18.9% saved)

localize112.0ms (3.9%)

Localize:

Found 5 expressions with local error:

New	Accuracy	Program
✓	99.9%	(pow.f64 (neg.f64 (expm1.f64 (neg.f64 x))) -3)
✓	63.9%	(cbrt.f64 (pow.f64 (neg.f64 (expm1.f64 (neg.f64 x))) -3))
✓	100.0%	(+.f64 (*.f64 1/12 x) (/.f64 1 x))
✓	99.5%	(*.f64 1/12 x)
✓	100.0%	(/.f64 -1 (expm1.f64 (neg.f64 x)))

Compiler

Compiled 80 to 44 computations (45% saved)

series13.0ms (0.5%)

Counts

5 → 39

Calls

15 calls:

Time	Variable		Point	Expression
4.0ms	x	@	inf	(cbrt.f64 (pow.f64 (neg.f64 (expm1.f64 (neg.f64 x))) -3))
2.0ms	x	@	-inf	(pow.f64 (neg.f64 (expm1.f64 (neg.f64 x))) -3)
1.0ms	x	@	inf	(pow.f64 (neg.f64 (expm1.f64 (neg.f64 x))) -3)
1.0ms	x	@	inf	(/.f64 -1 (expm1.f64 (neg.f64 x)))
1.0ms	x	@	0	(+.f64 (*.f64 1/12 x) (/.f64 1 x))

rewrite109.0ms (3.8%)

Algorithm

1×	batch-egg-rewrite

Rules

1666×	`prod-diff`
748×	`log1p-expm1-u`
747×	`expm1-log1p-u`
554×	`fma-def`
262×	`expm1-udef`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	19	89
1	237	73
2	3026	73

Stop Event

1×	node limit

Counts

5 → 216

Calls

Call 1

Inputs
(/.f64 -1 (expm1.f64 (neg.f64 x)))
(*.f64 1/12 x)
(+.f64 (*.f64 1/12 x) (/.f64 1 x))
(cbrt.f64 (pow.f64 (neg.f64 (expm1.f64 (neg.f64 x))) -3))
(pow.f64 (neg.f64 (expm1.f64 (neg.f64 x))) -3)

Outputs
(-.f64 (exp.f64 (log1p.f64 (/.f64 -1 (expm1.f64 x)))) 1)
(*.f64 -1 (/.f64 -1 (expm1.f64 x)))
(*.f64 1 (/.f64 -1 (expm1.f64 x)))
(*.f64 (/.f64 -1 (expm1.f64 x)) -1)
(*.f64 (/.f64 -1 (expm1.f64 x)) 1)
(*.f64 (/.f64 1 (cbrt.f64 (expm1.f64 x))) (cbrt.f64 (cbrt.f64 (pow.f64 (expm1.f64 x) -6))))
(*.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (expm1.f64 x) -6))) (/.f64 1 (cbrt.f64 (expm1.f64 x))))
(*.f64 (/.f64 1 (sqrt.f64 (expm1.f64 x))) (/.f64 1 (sqrt.f64 (expm1.f64 x))))
(*.f64 (pow.f64 1 1/3) (/.f64 -1 (expm1.f64 x)))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (expm1.f64 x) -6)) 1/3) (/.f64 1 (cbrt.f64 (expm1.f64 x))))
(*.f64 (pow.f64 (pow.f64 (expm1.f64 x) -3/2) 1/3) (pow.f64 (pow.f64 (expm1.f64 x) -3/2) 1/3))
(pow.f64 (expm1.f64 x) -1)
(pow.f64 (pow.f64 (expm1.f64 x) -3) 1/3)
(pow.f64 (/.f64 -1 (expm1.f64 x)) 1)
(pow.f64 (/.f64 1 (cbrt.f64 (expm1.f64 x))) 3)
(pow.f64 (/.f64 1 (sqrt.f64 (expm1.f64 x))) 2)
(neg.f64 (/.f64 -1 (expm1.f64 x)))
(sqrt.f64 (cbrt.f64 (pow.f64 (expm1.f64 x) -6)))
(log.f64 (exp.f64 (/.f64 -1 (expm1.f64 x))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 -1 (expm1.f64 x)))))
(log.f64 (/.f64 1 (exp.f64 (/.f64 -1 (expm1.f64 x)))))
(log.f64 (/.f64 1 (+.f64 1 (expm1.f64 (/.f64 -1 (expm1.f64 x))))))
(cbrt.f64 (pow.f64 (expm1.f64 x) -3))
(expm1.f64 (log1p.f64 (/.f64 -1 (expm1.f64 x))))
(exp.f64 (neg.f64 (log.f64 (expm1.f64 x))))
(exp.f64 (.f64 (.f64 -3 (log.f64 (expm1.f64 x))) 1/3))
(exp.f64 (*.f64 (neg.f64 (log.f64 (expm1.f64 x))) 1))
(log1p.f64 (expm1.f64 (/.f64 -1 (expm1.f64 x))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x 1/12))) 1)
(pow.f64 (*.f64 x 1/12) 1)
(pow.f64 (cbrt.f64 (*.f64 x 1/12)) 3)
(pow.f64 (*.f64 (pow.f64 x 3) 1/1728) 1/3)
(pow.f64 (sqrt.f64 (*.f64 x 1/12)) 2)
(sqrt.f64 (*.f64 (pow.f64 x 2) 1/144))
(log.f64 (pow.f64 (exp.f64 x) 1/12))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 x 1/12))))
(cbrt.f64 (*.f64 (pow.f64 x 3) 1/1728))
(expm1.f64 (log1p.f64 (*.f64 x 1/12)))
(exp.f64 (log.f64 (*.f64 x 1/12)))
(exp.f64 (.f64 (log.f64 (.f64 x 1/12)) 1))
(log1p.f64 (expm1.f64 (*.f64 x 1/12)))
(-.f64 (*.f64 x 1/12) (/.f64 -1 x))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 x 1/12 (/.f64 -1 x)))) 1)
(-.f64 (/.f64 (*.f64 (pow.f64 x 2) 1/144) (fma.f64 x 1/12 (/.f64 -1 x))) (/.f64 (pow.f64 x -2) (fma.f64 x 1/12 (/.f64 -1 x))))
(*.f64 1 (fma.f64 x 1/12 (/.f64 -1 x)))
(*.f64 (cbrt.f64 (fma.f64 x 1/12 (/.f64 -1 x))) (pow.f64 (cbrt.f64 (fma.f64 x 1/12 (/.f64 -1 x))) 2))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 x 1/12 (/.f64 -1 x))) 2) (cbrt.f64 (fma.f64 x 1/12 (/.f64 -1 x))))
(*.f64 (pow.f64 (fma.f64 x 1/12 (/.f64 -1 x)) 2) (/.f64 1 (fma.f64 x 1/12 (/.f64 -1 x))))
(*.f64 (sqrt.f64 (fma.f64 x 1/12 (/.f64 -1 x))) (sqrt.f64 (fma.f64 x 1/12 (/.f64 -1 x))))
(.f64 (fma.f64 (pow.f64 x 3) 1/1728 (pow.f64 x -3)) (/.f64 1 (-.f64 (fma.f64 (pow.f64 x 2) 1/144 (pow.f64 x -2)) (/.f64 (.f64 x 1/12) x))))
(*.f64 (fma.f64 x 1/12 (/.f64 -1 x)) 1)
(.f64 (+.f64 (sqrt.f64 (.f64 x 1/12)) (pow.f64 x -1/2)) (-.f64 (sqrt.f64 (*.f64 x 1/12)) (pow.f64 x -1/2)))
(/.f64 1 (/.f64 (-.f64 (fma.f64 (pow.f64 x 2) 1/144 (pow.f64 x -2)) (/.f64 (*.f64 x 1/12) x)) (fma.f64 (pow.f64 x 3) 1/1728 (pow.f64 x -3))))
(/.f64 1 (/.f64 (fma.f64 x 1/12 (/.f64 -1 x)) (pow.f64 (fma.f64 x 1/12 (/.f64 -1 x)) 2)))
(/.f64 (pow.f64 (fma.f64 x 1/12 (/.f64 -1 x)) 2) (fma.f64 x 1/12 (/.f64 -1 x)))
(/.f64 (fma.f64 (pow.f64 x 3) 1/1728 (pow.f64 x -3)) (-.f64 (fma.f64 (pow.f64 x 2) 1/144 (pow.f64 x -2)) (/.f64 (*.f64 x 1/12) x)))
(/.f64 (fma.f64 (pow.f64 x 3) 1/1728 (pow.f64 x -3)) (+.f64 (pow.f64 x -2) (-.f64 (.f64 (pow.f64 x 2) 1/144) (/.f64 (.f64 x 1/12) x))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 x 3) 1/1728 (pow.f64 x -3))) (neg.f64 (-.f64 (fma.f64 (pow.f64 x 2) 1/144 (pow.f64 x -2)) (/.f64 (*.f64 x 1/12) x))))
(/.f64 (neg.f64 (pow.f64 (fma.f64 x 1/12 (/.f64 -1 x)) 2)) (neg.f64 (fma.f64 x 1/12 (/.f64 -1 x))))
(/.f64 (-.f64 (pow.f64 x -2) (.f64 (pow.f64 x 2) 1/144)) (-.f64 (/.f64 -1 x) (.f64 x 1/12)))
(/.f64 (-.f64 (.f64 (pow.f64 x 3) 1/1728) (pow.f64 x -3)) (fma.f64 (pow.f64 x 2) 1/144 (+.f64 (pow.f64 x -2) (/.f64 (.f64 x 1/12) x))))
(pow.f64 (cbrt.f64 (fma.f64 x 1/12 (/.f64 -1 x))) 3)
(pow.f64 (pow.f64 (fma.f64 x 1/12 (/.f64 -1 x)) 3) 1/3)
(pow.f64 (sqrt.f64 (fma.f64 x 1/12 (/.f64 -1 x))) 2)
(pow.f64 (fma.f64 x 1/12 (/.f64 -1 x)) 1)
(sqrt.f64 (pow.f64 (fma.f64 x 1/12 (/.f64 -1 x)) 2))
(log.f64 (exp.f64 (fma.f64 x 1/12 (/.f64 -1 x))))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 x 1/12 (/.f64 -1 x)))))
(log.f64 (/.f64 (pow.f64 (exp.f64 x) 1/12) (exp.f64 (/.f64 -1 x))))
(log.f64 (*.f64 (pow.f64 (exp.f64 x) 1/12) (+.f64 1 (expm1.f64 (/.f64 -1 x)))))
(log.f64 (.f64 (+.f64 1 (expm1.f64 (.f64 x 1/12))) (exp.f64 (/.f64 -1 x))))
(log.f64 (.f64 (+.f64 1 (expm1.f64 (.f64 x 1/12))) (+.f64 1 (expm1.f64 (/.f64 -1 x)))))
(log.f64 (.f64 (exp.f64 (/.f64 -1 x)) (+.f64 1 (expm1.f64 (.f64 x 1/12)))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (/.f64 -1 x))) (pow.f64 (exp.f64 x) 1/12)))
(log.f64 (.f64 (+.f64 1 (expm1.f64 (/.f64 -1 x))) (+.f64 1 (expm1.f64 (.f64 x 1/12)))))
(log.f64 (/.f64 (pow.f64 (exp.f64 x) 1/12) (+.f64 1 (expm1.f64 (/.f64 -1 x)))))
(log.f64 (/.f64 (+.f64 1 (expm1.f64 (*.f64 x 1/12))) (exp.f64 (/.f64 -1 x))))
(log.f64 (/.f64 (+.f64 1 (expm1.f64 (*.f64 x 1/12))) (+.f64 1 (expm1.f64 (/.f64 -1 x)))))
(cbrt.f64 (pow.f64 (fma.f64 x 1/12 (/.f64 -1 x)) 3))
(expm1.f64 (log1p.f64 (fma.f64 x 1/12 (/.f64 -1 x))))
(exp.f64 (log.f64 (fma.f64 x 1/12 (/.f64 -1 x))))
(exp.f64 (*.f64 (log.f64 (fma.f64 x 1/12 (/.f64 -1 x))) 1))
(log1p.f64 (expm1.f64 (fma.f64 x 1/12 (/.f64 -1 x))))
(fma.f64 -1 (/.f64 -1 x) (*.f64 x 1/12))
(fma.f64 x 1/12 (/.f64 -1 x))
(fma.f64 x 1/12 (neg.f64 (/.f64 -1 x)))
(fma.f64 x 1/12 (*.f64 (neg.f64 (cbrt.f64 (pow.f64 x -2))) (/.f64 1 (cbrt.f64 x))))
(fma.f64 x 1/12 (*.f64 (neg.f64 (pow.f64 x -1/2)) (pow.f64 x -1/2)))
(fma.f64 1/12 x (/.f64 -1 x))
(fma.f64 1/12 x (neg.f64 (/.f64 -1 x)))
(fma.f64 1/12 x (*.f64 (neg.f64 (cbrt.f64 (pow.f64 x -2))) (/.f64 1 (cbrt.f64 x))))
(fma.f64 1/12 x (*.f64 (neg.f64 (pow.f64 x -1/2)) (pow.f64 x -1/2)))
(fma.f64 (*.f64 x 1/12) 1 (/.f64 -1 x))
(fma.f64 (*.f64 x 1/12) 1 (neg.f64 (/.f64 -1 x)))
(fma.f64 (.f64 x 1/12) 1 (.f64 (neg.f64 (cbrt.f64 (pow.f64 x -2))) (/.f64 1 (cbrt.f64 x))))
(fma.f64 (.f64 x 1/12) 1 (.f64 (neg.f64 (pow.f64 x -1/2)) (pow.f64 x -1/2)))
(fma.f64 1 (*.f64 x 1/12) (/.f64 -1 x))
(fma.f64 1 (*.f64 x 1/12) (neg.f64 (/.f64 -1 x)))
(fma.f64 1 (.f64 x 1/12) (.f64 (neg.f64 (cbrt.f64 (pow.f64 x -2))) (/.f64 1 (cbrt.f64 x))))
(fma.f64 1 (.f64 x 1/12) (.f64 (neg.f64 (pow.f64 x -1/2)) (pow.f64 x -1/2)))
(fma.f64 1 (/.f64 -1 x) (*.f64 x 1/12))
(fma.f64 1 (fma.f64 x 1/12 (/.f64 -1 x)) (fma.f64 (neg.f64 (/.f64 -1 x)) 1 (/.f64 -1 x)))
(fma.f64 1 (fma.f64 x 1/12 (/.f64 -1 x)) (fma.f64 (neg.f64 (/.f64 1 (cbrt.f64 x))) (cbrt.f64 (pow.f64 x -2)) (/.f64 -1 x)))
(fma.f64 1 (fma.f64 x 1/12 (/.f64 -1 x)) (fma.f64 (neg.f64 (pow.f64 x -1/2)) (pow.f64 x -1/2) (/.f64 -1 x)))
(fma.f64 (/.f64 -1 x) 1 (*.f64 x 1/12))
(fma.f64 (/.f64 1 (cbrt.f64 x)) (cbrt.f64 (pow.f64 x -2)) (*.f64 x 1/12))
(fma.f64 (cbrt.f64 (pow.f64 x -2)) (/.f64 1 (cbrt.f64 x)) (*.f64 x 1/12))
(fma.f64 (cbrt.f64 (fma.f64 x 1/12 (/.f64 -1 x))) (pow.f64 (cbrt.f64 (fma.f64 x 1/12 (/.f64 -1 x))) 2) (fma.f64 (neg.f64 (/.f64 -1 x)) 1 (/.f64 -1 x)))
(fma.f64 (cbrt.f64 (fma.f64 x 1/12 (/.f64 -1 x))) (pow.f64 (cbrt.f64 (fma.f64 x 1/12 (/.f64 -1 x))) 2) (fma.f64 (neg.f64 (/.f64 1 (cbrt.f64 x))) (cbrt.f64 (pow.f64 x -2)) (/.f64 -1 x)))
(fma.f64 (cbrt.f64 (fma.f64 x 1/12 (/.f64 -1 x))) (pow.f64 (cbrt.f64 (fma.f64 x 1/12 (/.f64 -1 x))) 2) (fma.f64 (neg.f64 (pow.f64 x -1/2)) (pow.f64 x -1/2) (/.f64 -1 x)))
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 x 1/12 (/.f64 -1 x))) 2) (cbrt.f64 (fma.f64 x 1/12 (/.f64 -1 x))) (fma.f64 (neg.f64 (/.f64 -1 x)) 1 (/.f64 -1 x)))
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 x 1/12 (/.f64 -1 x))) 2) (cbrt.f64 (fma.f64 x 1/12 (/.f64 -1 x))) (fma.f64 (neg.f64 (/.f64 1 (cbrt.f64 x))) (cbrt.f64 (pow.f64 x -2)) (/.f64 -1 x)))
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 x 1/12 (/.f64 -1 x))) 2) (cbrt.f64 (fma.f64 x 1/12 (/.f64 -1 x))) (fma.f64 (neg.f64 (pow.f64 x -1/2)) (pow.f64 x -1/2) (/.f64 -1 x)))
(fma.f64 (cbrt.f64 (.f64 x 1/12)) (cbrt.f64 (.f64 (pow.f64 x 2) 1/144)) (/.f64 -1 x))
(fma.f64 (cbrt.f64 (.f64 x 1/12)) (cbrt.f64 (.f64 (pow.f64 x 2) 1/144)) (neg.f64 (/.f64 -1 x)))
(fma.f64 (cbrt.f64 (.f64 x 1/12)) (cbrt.f64 (.f64 (pow.f64 x 2) 1/144)) (*.f64 (neg.f64 (cbrt.f64 (pow.f64 x -2))) (/.f64 1 (cbrt.f64 x))))
(fma.f64 (cbrt.f64 (.f64 x 1/12)) (cbrt.f64 (.f64 (pow.f64 x 2) 1/144)) (*.f64 (neg.f64 (pow.f64 x -1/2)) (pow.f64 x -1/2)))
(fma.f64 (cbrt.f64 (.f64 (pow.f64 x 2) 1/144)) (cbrt.f64 (.f64 x 1/12)) (/.f64 -1 x))
(fma.f64 (cbrt.f64 (.f64 (pow.f64 x 2) 1/144)) (cbrt.f64 (.f64 x 1/12)) (neg.f64 (/.f64 -1 x)))
(fma.f64 (cbrt.f64 (.f64 (pow.f64 x 2) 1/144)) (cbrt.f64 (.f64 x 1/12)) (*.f64 (neg.f64 (cbrt.f64 (pow.f64 x -2))) (/.f64 1 (cbrt.f64 x))))
(fma.f64 (cbrt.f64 (.f64 (pow.f64 x 2) 1/144)) (cbrt.f64 (.f64 x 1/12)) (*.f64 (neg.f64 (pow.f64 x -1/2)) (pow.f64 x -1/2)))
(fma.f64 (cbrt.f64 (pow.f64 x 2)) (*.f64 (cbrt.f64 x) 1/12) (/.f64 -1 x))
(fma.f64 (cbrt.f64 (pow.f64 x 2)) (*.f64 (cbrt.f64 x) 1/12) (neg.f64 (/.f64 -1 x)))
(fma.f64 (cbrt.f64 (pow.f64 x 2)) (.f64 (cbrt.f64 x) 1/12) (.f64 (neg.f64 (cbrt.f64 (pow.f64 x -2))) (/.f64 1 (cbrt.f64 x))))
(fma.f64 (cbrt.f64 (pow.f64 x 2)) (.f64 (cbrt.f64 x) 1/12) (.f64 (neg.f64 (pow.f64 x -1/2)) (pow.f64 x -1/2)))
(fma.f64 (pow.f64 (fma.f64 x 1/12 (/.f64 -1 x)) 2) (/.f64 1 (fma.f64 x 1/12 (/.f64 -1 x))) (fma.f64 (neg.f64 (/.f64 -1 x)) 1 (/.f64 -1 x)))
(fma.f64 (pow.f64 (fma.f64 x 1/12 (/.f64 -1 x)) 2) (/.f64 1 (fma.f64 x 1/12 (/.f64 -1 x))) (fma.f64 (neg.f64 (/.f64 1 (cbrt.f64 x))) (cbrt.f64 (pow.f64 x -2)) (/.f64 -1 x)))
(fma.f64 (pow.f64 (fma.f64 x 1/12 (/.f64 -1 x)) 2) (/.f64 1 (fma.f64 x 1/12 (/.f64 -1 x))) (fma.f64 (neg.f64 (pow.f64 x -1/2)) (pow.f64 x -1/2) (/.f64 -1 x)))
(fma.f64 (pow.f64 x -1/2) (pow.f64 x -1/2) (*.f64 x 1/12))
(fma.f64 (sqrt.f64 (fma.f64 x 1/12 (/.f64 -1 x))) (sqrt.f64 (fma.f64 x 1/12 (/.f64 -1 x))) (fma.f64 (neg.f64 (/.f64 -1 x)) 1 (/.f64 -1 x)))
(fma.f64 (sqrt.f64 (fma.f64 x 1/12 (/.f64 -1 x))) (sqrt.f64 (fma.f64 x 1/12 (/.f64 -1 x))) (fma.f64 (neg.f64 (/.f64 1 (cbrt.f64 x))) (cbrt.f64 (pow.f64 x -2)) (/.f64 -1 x)))
(fma.f64 (sqrt.f64 (fma.f64 x 1/12 (/.f64 -1 x))) (sqrt.f64 (fma.f64 x 1/12 (/.f64 -1 x))) (fma.f64 (neg.f64 (pow.f64 x -1/2)) (pow.f64 x -1/2) (/.f64 -1 x)))
(fma.f64 (sqrt.f64 (.f64 x 1/12)) (sqrt.f64 (.f64 x 1/12)) (/.f64 -1 x))
(fma.f64 (sqrt.f64 (.f64 x 1/12)) (sqrt.f64 (.f64 x 1/12)) (neg.f64 (/.f64 -1 x)))
(fma.f64 (sqrt.f64 (.f64 x 1/12)) (sqrt.f64 (.f64 x 1/12)) (*.f64 (neg.f64 (cbrt.f64 (pow.f64 x -2))) (/.f64 1 (cbrt.f64 x))))
(fma.f64 (sqrt.f64 (.f64 x 1/12)) (sqrt.f64 (.f64 x 1/12)) (*.f64 (neg.f64 (pow.f64 x -1/2)) (pow.f64 x -1/2)))
(fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) 1/12) (/.f64 -1 x))
(fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) 1/12) (neg.f64 (/.f64 -1 x)))
(fma.f64 (sqrt.f64 x) (.f64 (sqrt.f64 x) 1/12) (.f64 (neg.f64 (cbrt.f64 (pow.f64 x -2))) (/.f64 1 (cbrt.f64 x))))
(fma.f64 (sqrt.f64 x) (.f64 (sqrt.f64 x) 1/12) (.f64 (neg.f64 (pow.f64 x -1/2)) (pow.f64 x -1/2)))
(fma.f64 (fma.f64 (pow.f64 x 3) 1/1728 (pow.f64 x -3)) (/.f64 1 (-.f64 (fma.f64 (pow.f64 x 2) 1/144 (pow.f64 x -2)) (/.f64 (*.f64 x 1/12) x))) (fma.f64 (neg.f64 (/.f64 -1 x)) 1 (/.f64 -1 x)))
(fma.f64 (fma.f64 (pow.f64 x 3) 1/1728 (pow.f64 x -3)) (/.f64 1 (-.f64 (fma.f64 (pow.f64 x 2) 1/144 (pow.f64 x -2)) (/.f64 (*.f64 x 1/12) x))) (fma.f64 (neg.f64 (/.f64 1 (cbrt.f64 x))) (cbrt.f64 (pow.f64 x -2)) (/.f64 -1 x)))
(fma.f64 (fma.f64 (pow.f64 x 3) 1/1728 (pow.f64 x -3)) (/.f64 1 (-.f64 (fma.f64 (pow.f64 x 2) 1/144 (pow.f64 x -2)) (/.f64 (*.f64 x 1/12) x))) (fma.f64 (neg.f64 (pow.f64 x -1/2)) (pow.f64 x -1/2) (/.f64 -1 x)))
(fma.f64 (fma.f64 x 1/12 (/.f64 -1 x)) 1 (fma.f64 (neg.f64 (/.f64 -1 x)) 1 (/.f64 -1 x)))
(fma.f64 (fma.f64 x 1/12 (/.f64 -1 x)) 1 (fma.f64 (neg.f64 (/.f64 1 (cbrt.f64 x))) (cbrt.f64 (pow.f64 x -2)) (/.f64 -1 x)))
(fma.f64 (fma.f64 x 1/12 (/.f64 -1 x)) 1 (fma.f64 (neg.f64 (pow.f64 x -1/2)) (pow.f64 x -1/2) (/.f64 -1 x)))
(fma.f64 (pow.f64 (cbrt.f64 (pow.f64 x 2)) -1) (pow.f64 (cbrt.f64 x) -1) (*.f64 x 1/12))
(fma.f64 (pow.f64 (sqrt.f64 x) -1) (pow.f64 (sqrt.f64 x) -1) (*.f64 x 1/12))
(fma.f64 (+.f64 (sqrt.f64 (.f64 x 1/12)) (pow.f64 x -1/2)) (-.f64 (sqrt.f64 (.f64 x 1/12)) (pow.f64 x -1/2)) (fma.f64 (neg.f64 (/.f64 -1 x)) 1 (/.f64 -1 x)))
(fma.f64 (+.f64 (sqrt.f64 (.f64 x 1/12)) (pow.f64 x -1/2)) (-.f64 (sqrt.f64 (.f64 x 1/12)) (pow.f64 x -1/2)) (fma.f64 (neg.f64 (/.f64 1 (cbrt.f64 x))) (cbrt.f64 (pow.f64 x -2)) (/.f64 -1 x)))
(fma.f64 (+.f64 (sqrt.f64 (.f64 x 1/12)) (pow.f64 x -1/2)) (-.f64 (sqrt.f64 (.f64 x 1/12)) (pow.f64 x -1/2)) (fma.f64 (neg.f64 (pow.f64 x -1/2)) (pow.f64 x -1/2) (/.f64 -1 x)))
(fma.f64 (*.f64 1/12 (cbrt.f64 (pow.f64 x 2))) (cbrt.f64 x) (/.f64 -1 x))
(fma.f64 (*.f64 1/12 (cbrt.f64 (pow.f64 x 2))) (cbrt.f64 x) (neg.f64 (/.f64 -1 x)))
(fma.f64 (.f64 1/12 (cbrt.f64 (pow.f64 x 2))) (cbrt.f64 x) (.f64 (neg.f64 (cbrt.f64 (pow.f64 x -2))) (/.f64 1 (cbrt.f64 x))))
(fma.f64 (.f64 1/12 (cbrt.f64 (pow.f64 x 2))) (cbrt.f64 x) (.f64 (neg.f64 (pow.f64 x -1/2)) (pow.f64 x -1/2)))
(fma.f64 (*.f64 1/12 (sqrt.f64 x)) (sqrt.f64 x) (/.f64 -1 x))
(fma.f64 (*.f64 1/12 (sqrt.f64 x)) (sqrt.f64 x) (neg.f64 (/.f64 -1 x)))
(fma.f64 (.f64 1/12 (sqrt.f64 x)) (sqrt.f64 x) (.f64 (neg.f64 (cbrt.f64 (pow.f64 x -2))) (/.f64 1 (cbrt.f64 x))))
(fma.f64 (.f64 1/12 (sqrt.f64 x)) (sqrt.f64 x) (.f64 (neg.f64 (pow.f64 x -1/2)) (pow.f64 x -1/2)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 -1 (expm1.f64 x)))) 1)
(*.f64 -1 (/.f64 -1 (expm1.f64 x)))
(*.f64 1 (/.f64 -1 (expm1.f64 x)))
(*.f64 (/.f64 -1 (expm1.f64 x)) -1)
(*.f64 (/.f64 -1 (expm1.f64 x)) 1)
(*.f64 (/.f64 1 (cbrt.f64 (expm1.f64 x))) (cbrt.f64 (cbrt.f64 (pow.f64 (expm1.f64 x) -6))))
(*.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (expm1.f64 x) -6))) (/.f64 1 (cbrt.f64 (expm1.f64 x))))
(*.f64 (/.f64 1 (sqrt.f64 (expm1.f64 x))) (/.f64 1 (sqrt.f64 (expm1.f64 x))))
(*.f64 (pow.f64 1 1/3) (/.f64 -1 (expm1.f64 x)))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (expm1.f64 x) -6)) 1/3) (/.f64 1 (cbrt.f64 (expm1.f64 x))))
(*.f64 (pow.f64 (pow.f64 (expm1.f64 x) -3/2) 1/3) (pow.f64 (pow.f64 (expm1.f64 x) -3/2) 1/3))
(/.f64 -1 (expm1.f64 x))
(/.f64 1 (expm1.f64 x))
(/.f64 (/.f64 1 (sqrt.f64 (expm1.f64 x))) (sqrt.f64 (expm1.f64 x)))
(/.f64 (/.f64 -1 (pow.f64 (cbrt.f64 (expm1.f64 x)) 2)) (cbrt.f64 (expm1.f64 x)))
(/.f64 (/.f64 -1 (sqrt.f64 (expm1.f64 x))) (sqrt.f64 (expm1.f64 x)))
(/.f64 (/.f64 1 (pow.f64 (cbrt.f64 (expm1.f64 x)) 2)) (cbrt.f64 (expm1.f64 x)))
(pow.f64 (expm1.f64 x) -1)
(pow.f64 (pow.f64 (expm1.f64 x) -3) 1/3)
(pow.f64 (/.f64 -1 (expm1.f64 x)) 1)
(pow.f64 (/.f64 1 (cbrt.f64 (expm1.f64 x))) 3)
(pow.f64 (/.f64 1 (sqrt.f64 (expm1.f64 x))) 2)
(neg.f64 (/.f64 -1 (expm1.f64 x)))
(sqrt.f64 (cbrt.f64 (pow.f64 (expm1.f64 x) -6)))
(log.f64 (exp.f64 (/.f64 -1 (expm1.f64 x))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 -1 (expm1.f64 x)))))
(log.f64 (/.f64 1 (exp.f64 (/.f64 -1 (expm1.f64 x)))))
(log.f64 (/.f64 1 (+.f64 1 (expm1.f64 (/.f64 -1 (expm1.f64 x))))))
(expm1.f64 (log1p.f64 (/.f64 -1 (expm1.f64 x))))
(exp.f64 (neg.f64 (log.f64 (expm1.f64 x))))
(exp.f64 (.f64 (.f64 -3 (log.f64 (expm1.f64 x))) 1/3))
(exp.f64 (*.f64 (neg.f64 (log.f64 (expm1.f64 x))) 1))
(log1p.f64 (expm1.f64 (/.f64 -1 (expm1.f64 x))))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (expm1.f64 x) -3))) 1)
(*.f64 -1 (pow.f64 (expm1.f64 x) -3))
(*.f64 1 (pow.f64 (expm1.f64 x) -3))
(*.f64 (pow.f64 (expm1.f64 x) -3) 1)
(*.f64 (/.f64 -1 (expm1.f64 x)) (cbrt.f64 (pow.f64 (expm1.f64 x) -6)))
(*.f64 (cbrt.f64 (pow.f64 (expm1.f64 x) -6)) (/.f64 -1 (expm1.f64 x)))
(*.f64 (pow.f64 (expm1.f64 x) -3/2) (pow.f64 (expm1.f64 x) -3/2))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) 2) -3) (pow.f64 (cbrt.f64 (expm1.f64 x)) -3))
(*.f64 (pow.f64 (sqrt.f64 (expm1.f64 x)) -3) (pow.f64 (sqrt.f64 (expm1.f64 x)) -3))
(.f64 (.f64 (cbrt.f64 (pow.f64 (expm1.f64 x) -6)) -1) (/.f64 -1 (expm1.f64 x)))
(.f64 (.f64 (cbrt.f64 (pow.f64 (expm1.f64 x) -6)) 1) (/.f64 -1 (expm1.f64 x)))
(.f64 (.f64 (cbrt.f64 (pow.f64 (expm1.f64 x) -6)) (cbrt.f64 (cbrt.f64 (pow.f64 (expm1.f64 x) -6)))) (/.f64 1 (cbrt.f64 (expm1.f64 x))))
(.f64 (.f64 (cbrt.f64 (pow.f64 (expm1.f64 x) -6)) (/.f64 1 (sqrt.f64 (expm1.f64 x)))) (/.f64 1 (sqrt.f64 (expm1.f64 x))))
(/.f64 (cbrt.f64 (pow.f64 (expm1.f64 x) -6)) (expm1.f64 x))
(/.f64 (*.f64 (cbrt.f64 (pow.f64 (expm1.f64 x) -6)) -1) (expm1.f64 x))
(/.f64 (*.f64 (cbrt.f64 (pow.f64 (expm1.f64 x) -6)) 1) (expm1.f64 x))
(sqrt.f64 (pow.f64 (expm1.f64 x) -6))
(log.f64 (exp.f64 (pow.f64 (expm1.f64 x) -3)))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (expm1.f64 x) -3))))
(cbrt.f64 (pow.f64 (pow.f64 (expm1.f64 x) -3) 3))
(expm1.f64 (log1p.f64 (pow.f64 (expm1.f64 x) -3)))
(exp.f64 (*.f64 -3 (log.f64 (expm1.f64 x))))
(exp.f64 (.f64 (.f64 -3 (log.f64 (expm1.f64 x))) 1))
(log1p.f64 (expm1.f64 (pow.f64 (expm1.f64 x) -3)))

simplify111.0ms (3.9%)

Algorithm

1×	egg-herbie

Rules

894×	`associate-/r*`
640×	`distribute-rgt-in`
630×	`associate-+l+`
612×	`distribute-lft-in`
586×	`associate-+r+`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	400	7940
1	945	7634
2	2804	7312

Stop Event

1×	node limit

Counts

255 → 280

Calls

Call 1

Inputs
(/.f64 1 x)
(+.f64 1/2 (/.f64 1 x))
(+.f64 1/2 (+.f64 (*.f64 1/12 x) (/.f64 1 x)))
(+.f64 1/2 (+.f64 (.f64 -1/720 (pow.f64 x 3)) (+.f64 (.f64 1/12 x) (/.f64 1 x))))
(/.f64 -1 (-.f64 (exp.f64 (neg.f64 x)) 1))
(/.f64 -1 (-.f64 (exp.f64 (neg.f64 x)) 1))
(/.f64 -1 (-.f64 (exp.f64 (neg.f64 x)) 1))
(/.f64 -1 (-.f64 (exp.f64 (neg.f64 x)) 1))
(/.f64 -1 (-.f64 (exp.f64 (*.f64 -1 x)) 1))
(/.f64 -1 (-.f64 (exp.f64 (*.f64 -1 x)) 1))
(/.f64 -1 (-.f64 (exp.f64 (*.f64 -1 x)) 1))
(/.f64 -1 (-.f64 (exp.f64 (*.f64 -1 x)) 1))
(/.f64 1 x)
(*.f64 1/12 x)
(*.f64 1/12 x)
(*.f64 -1 (/.f64 (cbrt.f64 -1) x))
(+.f64 (.f64 -1 (/.f64 (cbrt.f64 -1) x)) (.f64 -1/2 (cbrt.f64 -1)))
(+.f64 (.f64 -1 (.f64 x (+.f64 (.f64 -1/6 (cbrt.f64 -1)) (.f64 1/4 (cbrt.f64 -1))))) (+.f64 (.f64 -1 (/.f64 (cbrt.f64 -1) x)) (.f64 -1/2 (cbrt.f64 -1))))
(+.f64 (.f64 -1 (.f64 x (+.f64 (.f64 -1/6 (cbrt.f64 -1)) (.f64 1/4 (cbrt.f64 -1))))) (+.f64 (.f64 -1 (.f64 (pow.f64 x 2) (+.f64 (.f64 -1/12 (cbrt.f64 -1)) (+.f64 (.f64 1/24 (cbrt.f64 -1)) (.f64 1/2 (+.f64 (.f64 -1/6 (cbrt.f64 -1)) (.f64 1/4 (cbrt.f64 -1)))))))) (+.f64 (.f64 -1 (/.f64 (cbrt.f64 -1) x)) (*.f64 -1/2 (cbrt.f64 -1)))))
(/.f64 (cbrt.f64 -1) (-.f64 (exp.f64 (neg.f64 x)) 1))
(/.f64 (cbrt.f64 -1) (-.f64 (exp.f64 (neg.f64 x)) 1))
(/.f64 (cbrt.f64 -1) (-.f64 (exp.f64 (neg.f64 x)) 1))
(/.f64 (cbrt.f64 -1) (-.f64 (exp.f64 (neg.f64 x)) 1))
(/.f64 (cbrt.f64 -1) (-.f64 (exp.f64 (*.f64 -1 x)) 1))
(/.f64 (cbrt.f64 -1) (-.f64 (exp.f64 (*.f64 -1 x)) 1))
(/.f64 (cbrt.f64 -1) (-.f64 (exp.f64 (*.f64 -1 x)) 1))
(/.f64 (cbrt.f64 -1) (-.f64 (exp.f64 (*.f64 -1 x)) 1))
(/.f64 1 (pow.f64 x 3))
(+.f64 (*.f64 3/2 (/.f64 1 (pow.f64 x 2))) (/.f64 1 (pow.f64 x 3)))
(+.f64 (*.f64 3/2 (/.f64 1 (pow.f64 x 2))) (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3))))
(+.f64 3/8 (+.f64 (*.f64 3/2 (/.f64 1 (pow.f64 x 2))) (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3)))))
(/.f64 1 (pow.f64 (-.f64 1 (exp.f64 (neg.f64 x))) 3))
(/.f64 1 (pow.f64 (-.f64 1 (exp.f64 (neg.f64 x))) 3))
(/.f64 1 (pow.f64 (-.f64 1 (exp.f64 (neg.f64 x))) 3))
(/.f64 1 (pow.f64 (-.f64 1 (exp.f64 (neg.f64 x))) 3))
(/.f64 1 (pow.f64 (-.f64 1 (exp.f64 (*.f64 -1 x))) 3))
(/.f64 1 (pow.f64 (-.f64 1 (exp.f64 (*.f64 -1 x))) 3))
(/.f64 1 (pow.f64 (-.f64 1 (exp.f64 (*.f64 -1 x))) 3))
(/.f64 1 (pow.f64 (-.f64 1 (exp.f64 (*.f64 -1 x))) 3))
(-.f64 (exp.f64 (log1p.f64 (/.f64 -1 (expm1.f64 x)))) 1)
(*.f64 -1 (/.f64 -1 (expm1.f64 x)))
(*.f64 1 (/.f64 -1 (expm1.f64 x)))
(*.f64 (/.f64 -1 (expm1.f64 x)) -1)
(*.f64 (/.f64 -1 (expm1.f64 x)) 1)
(*.f64 (/.f64 1 (cbrt.f64 (expm1.f64 x))) (cbrt.f64 (cbrt.f64 (pow.f64 (expm1.f64 x) -6))))
(*.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (expm1.f64 x) -6))) (/.f64 1 (cbrt.f64 (expm1.f64 x))))
(*.f64 (/.f64 1 (sqrt.f64 (expm1.f64 x))) (/.f64 1 (sqrt.f64 (expm1.f64 x))))
(*.f64 (pow.f64 1 1/3) (/.f64 -1 (expm1.f64 x)))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (expm1.f64 x) -6)) 1/3) (/.f64 1 (cbrt.f64 (expm1.f64 x))))
(*.f64 (pow.f64 (pow.f64 (expm1.f64 x) -3/2) 1/3) (pow.f64 (pow.f64 (expm1.f64 x) -3/2) 1/3))
(pow.f64 (expm1.f64 x) -1)
(pow.f64 (pow.f64 (expm1.f64 x) -3) 1/3)
(pow.f64 (/.f64 -1 (expm1.f64 x)) 1)
(pow.f64 (/.f64 1 (cbrt.f64 (expm1.f64 x))) 3)
(pow.f64 (/.f64 1 (sqrt.f64 (expm1.f64 x))) 2)
(neg.f64 (/.f64 -1 (expm1.f64 x)))
(sqrt.f64 (cbrt.f64 (pow.f64 (expm1.f64 x) -6)))
(log.f64 (exp.f64 (/.f64 -1 (expm1.f64 x))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 -1 (expm1.f64 x)))))
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(/.f64 (/.f64 -1 (pow.f64 (cbrt.f64 (expm1.f64 x)) 2)) (cbrt.f64 (expm1.f64 x)))
(/.f64 (/.f64 -1 (sqrt.f64 (expm1.f64 x))) (sqrt.f64 (expm1.f64 x)))
(/.f64 (/.f64 1 (pow.f64 (cbrt.f64 (expm1.f64 x)) 2)) (cbrt.f64 (expm1.f64 x)))
(pow.f64 (expm1.f64 x) -1)
(pow.f64 (pow.f64 (expm1.f64 x) -3) 1/3)
(pow.f64 (/.f64 -1 (expm1.f64 x)) 1)
(pow.f64 (/.f64 1 (cbrt.f64 (expm1.f64 x))) 3)
(pow.f64 (/.f64 1 (sqrt.f64 (expm1.f64 x))) 2)
(neg.f64 (/.f64 -1 (expm1.f64 x)))
(sqrt.f64 (cbrt.f64 (pow.f64 (expm1.f64 x) -6)))
(log.f64 (exp.f64 (/.f64 -1 (expm1.f64 x))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 -1 (expm1.f64 x)))))
(log.f64 (/.f64 1 (exp.f64 (/.f64 -1 (expm1.f64 x)))))
(log.f64 (/.f64 1 (+.f64 1 (expm1.f64 (/.f64 -1 (expm1.f64 x))))))
(expm1.f64 (log1p.f64 (/.f64 -1 (expm1.f64 x))))
(exp.f64 (neg.f64 (log.f64 (expm1.f64 x))))
(exp.f64 (.f64 (.f64 -3 (log.f64 (expm1.f64 x))) 1/3))
(exp.f64 (*.f64 (neg.f64 (log.f64 (expm1.f64 x))) 1))
(log1p.f64 (expm1.f64 (/.f64 -1 (expm1.f64 x))))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (expm1.f64 x) -3))) 1)
(*.f64 -1 (pow.f64 (expm1.f64 x) -3))
(*.f64 1 (pow.f64 (expm1.f64 x) -3))
(*.f64 (pow.f64 (expm1.f64 x) -3) 1)
(*.f64 (/.f64 -1 (expm1.f64 x)) (cbrt.f64 (pow.f64 (expm1.f64 x) -6)))
(*.f64 (cbrt.f64 (pow.f64 (expm1.f64 x) -6)) (/.f64 -1 (expm1.f64 x)))
(*.f64 (pow.f64 (expm1.f64 x) -3/2) (pow.f64 (expm1.f64 x) -3/2))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) 2) -3) (pow.f64 (cbrt.f64 (expm1.f64 x)) -3))
(*.f64 (pow.f64 (sqrt.f64 (expm1.f64 x)) -3) (pow.f64 (sqrt.f64 (expm1.f64 x)) -3))
(.f64 (.f64 (cbrt.f64 (pow.f64 (expm1.f64 x) -6)) -1) (/.f64 -1 (expm1.f64 x)))
(.f64 (.f64 (cbrt.f64 (pow.f64 (expm1.f64 x) -6)) 1) (/.f64 -1 (expm1.f64 x)))
(.f64 (.f64 (cbrt.f64 (pow.f64 (expm1.f64 x) -6)) (cbrt.f64 (cbrt.f64 (pow.f64 (expm1.f64 x) -6)))) (/.f64 1 (cbrt.f64 (expm1.f64 x))))
(.f64 (.f64 (cbrt.f64 (pow.f64 (expm1.f64 x) -6)) (/.f64 1 (sqrt.f64 (expm1.f64 x)))) (/.f64 1 (sqrt.f64 (expm1.f64 x))))
(/.f64 (cbrt.f64 (pow.f64 (expm1.f64 x) -6)) (expm1.f64 x))
(/.f64 (*.f64 (cbrt.f64 (pow.f64 (expm1.f64 x) -6)) -1) (expm1.f64 x))
(/.f64 (*.f64 (cbrt.f64 (pow.f64 (expm1.f64 x) -6)) 1) (expm1.f64 x))
(sqrt.f64 (pow.f64 (expm1.f64 x) -6))
(log.f64 (exp.f64 (pow.f64 (expm1.f64 x) -3)))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (expm1.f64 x) -3))))
(cbrt.f64 (pow.f64 (pow.f64 (expm1.f64 x) -3) 3))
(expm1.f64 (log1p.f64 (pow.f64 (expm1.f64 x) -3)))
(exp.f64 (*.f64 -3 (log.f64 (expm1.f64 x))))
(exp.f64 (.f64 (.f64 -3 (log.f64 (expm1.f64 x))) 1))
(log1p.f64 (expm1.f64 (pow.f64 (expm1.f64 x) -3)))

Outputs
(/.f64 1 x)
(+.f64 1/2 (/.f64 1 x))
(+.f64 1/2 (+.f64 (*.f64 1/12 x) (/.f64 1 x)))
(+.f64 1/2 (fma.f64 x 1/12 (/.f64 1 x)))
(+.f64 1/2 (+.f64 (.f64 -1/720 (pow.f64 x 3)) (+.f64 (.f64 1/12 x) (/.f64 1 x))))
(+.f64 1/2 (fma.f64 -1/720 (pow.f64 x 3) (fma.f64 x 1/12 (/.f64 1 x))))
(/.f64 -1 (-.f64 (exp.f64 (neg.f64 x)) 1))
(/.f64 -1 (expm1.f64 (neg.f64 x)))
(/.f64 -1 (-.f64 (exp.f64 (neg.f64 x)) 1))
(/.f64 -1 (expm1.f64 (neg.f64 x)))
(/.f64 -1 (-.f64 (exp.f64 (neg.f64 x)) 1))
(/.f64 -1 (expm1.f64 (neg.f64 x)))
(/.f64 -1 (-.f64 (exp.f64 (neg.f64 x)) 1))
(/.f64 -1 (expm1.f64 (neg.f64 x)))
(/.f64 -1 (-.f64 (exp.f64 (*.f64 -1 x)) 1))
(/.f64 -1 (expm1.f64 (neg.f64 x)))
(/.f64 -1 (-.f64 (exp.f64 (*.f64 -1 x)) 1))
(/.f64 -1 (expm1.f64 (neg.f64 x)))
(/.f64 -1 (-.f64 (exp.f64 (*.f64 -1 x)) 1))
(/.f64 -1 (expm1.f64 (neg.f64 x)))
(/.f64 -1 (-.f64 (exp.f64 (*.f64 -1 x)) 1))
(/.f64 -1 (expm1.f64 (neg.f64 x)))
(/.f64 1 x)
(*.f64 1/12 x)
(*.f64 x 1/12)
(*.f64 1/12 x)
(*.f64 x 1/12)
(*.f64 -1 (/.f64 (cbrt.f64 -1) x))
(neg.f64 (/.f64 (cbrt.f64 -1) x))
(/.f64 (neg.f64 (cbrt.f64 -1)) x)
(+.f64 (.f64 -1 (/.f64 (cbrt.f64 -1) x)) (.f64 -1/2 (cbrt.f64 -1)))
(fma.f64 -1 (/.f64 (cbrt.f64 -1) x) (*.f64 (cbrt.f64 -1) -1/2))
(-.f64 (*.f64 (cbrt.f64 -1) -1/2) (/.f64 (cbrt.f64 -1) x))
(+.f64 (.f64 -1 (.f64 x (+.f64 (.f64 -1/6 (cbrt.f64 -1)) (.f64 1/4 (cbrt.f64 -1))))) (+.f64 (.f64 -1 (/.f64 (cbrt.f64 -1) x)) (.f64 -1/2 (cbrt.f64 -1))))
(fma.f64 -1 (.f64 x (.f64 (cbrt.f64 -1) 1/12)) (fma.f64 -1 (/.f64 (cbrt.f64 -1) x) (*.f64 (cbrt.f64 -1) -1/2)))
(-.f64 (-.f64 (.f64 (cbrt.f64 -1) -1/2) (/.f64 (cbrt.f64 -1) x)) (.f64 x (*.f64 1/12 (cbrt.f64 -1))))
(+.f64 (-.f64 (.f64 (cbrt.f64 -1) -1/2) (/.f64 (cbrt.f64 -1) x)) (.f64 x (*.f64 (cbrt.f64 -1) -1/12)))
(+.f64 (.f64 -1 (.f64 x (+.f64 (.f64 -1/6 (cbrt.f64 -1)) (.f64 1/4 (cbrt.f64 -1))))) (+.f64 (.f64 -1 (.f64 (pow.f64 x 2) (+.f64 (.f64 -1/12 (cbrt.f64 -1)) (+.f64 (.f64 1/24 (cbrt.f64 -1)) (.f64 1/2 (+.f64 (.f64 -1/6 (cbrt.f64 -1)) (.f64 1/4 (cbrt.f64 -1)))))))) (+.f64 (.f64 -1 (/.f64 (cbrt.f64 -1) x)) (*.f64 -1/2 (cbrt.f64 -1)))))
(fma.f64 -1 (.f64 x (.f64 (cbrt.f64 -1) 1/12)) (fma.f64 -1 (.f64 (pow.f64 x 2) (fma.f64 -1/12 (cbrt.f64 -1) (fma.f64 1/24 (cbrt.f64 -1) (.f64 1/2 (.f64 (cbrt.f64 -1) 1/12))))) (fma.f64 -1 (/.f64 (cbrt.f64 -1) x) (.f64 (cbrt.f64 -1) -1/2))))
(-.f64 (-.f64 (-.f64 (.f64 (cbrt.f64 -1) -1/2) (/.f64 (cbrt.f64 -1) x)) (.f64 (pow.f64 x 2) (+.f64 (.f64 (cbrt.f64 -1) 1/24) (.f64 (cbrt.f64 -1) -1/24)))) (.f64 x (.f64 1/12 (cbrt.f64 -1))))
(+.f64 (.f64 (cbrt.f64 -1) -1/2) (-.f64 (.f64 x (-.f64 (.f64 (cbrt.f64 -1) -1/12) (.f64 x (*.f64 (cbrt.f64 -1) 0)))) (/.f64 (cbrt.f64 -1) x)))
(/.f64 (cbrt.f64 -1) (-.f64 (exp.f64 (neg.f64 x)) 1))
(/.f64 (cbrt.f64 -1) (expm1.f64 (neg.f64 x)))
(/.f64 (cbrt.f64 -1) (-.f64 (exp.f64 (neg.f64 x)) 1))
(/.f64 (cbrt.f64 -1) (expm1.f64 (neg.f64 x)))
(/.f64 (cbrt.f64 -1) (-.f64 (exp.f64 (neg.f64 x)) 1))
(/.f64 (cbrt.f64 -1) (expm1.f64 (neg.f64 x)))
(/.f64 (cbrt.f64 -1) (-.f64 (exp.f64 (neg.f64 x)) 1))
(/.f64 (cbrt.f64 -1) (expm1.f64 (neg.f64 x)))
(/.f64 (cbrt.f64 -1) (-.f64 (exp.f64 (*.f64 -1 x)) 1))
(/.f64 (cbrt.f64 -1) (expm1.f64 (neg.f64 x)))
(/.f64 (cbrt.f64 -1) (-.f64 (exp.f64 (*.f64 -1 x)) 1))
(/.f64 (cbrt.f64 -1) (expm1.f64 (neg.f64 x)))
(/.f64 (cbrt.f64 -1) (-.f64 (exp.f64 (*.f64 -1 x)) 1))
(/.f64 (cbrt.f64 -1) (expm1.f64 (neg.f64 x)))
(/.f64 (cbrt.f64 -1) (-.f64 (exp.f64 (*.f64 -1 x)) 1))
(/.f64 (cbrt.f64 -1) (expm1.f64 (neg.f64 x)))
(/.f64 1 (pow.f64 x 3))
(+.f64 (*.f64 3/2 (/.f64 1 (pow.f64 x 2))) (/.f64 1 (pow.f64 x 3)))
(+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 3/2 (pow.f64 x 2)))
(fma.f64 3/2 (pow.f64 x -2) (/.f64 1 (pow.f64 x 3)))
(+.f64 (*.f64 3/2 (/.f64 1 (pow.f64 x 2))) (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3))))
(+.f64 (/.f64 3/2 (pow.f64 x 2)) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 x)))
(+.f64 (/.f64 1 (pow.f64 x 3)) (+.f64 (/.f64 3/2 (pow.f64 x 2)) (/.f64 1 x)))
(+.f64 (/.f64 1 (pow.f64 x 3)) (fma.f64 3/2 (pow.f64 x -2) (/.f64 1 x)))
(+.f64 3/8 (+.f64 (*.f64 3/2 (/.f64 1 (pow.f64 x 2))) (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3)))))
(+.f64 (+.f64 (/.f64 3/2 (pow.f64 x 2)) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 x))) 3/8)
(+.f64 (+.f64 (/.f64 3/2 (pow.f64 x 2)) (/.f64 1 x)) (+.f64 (/.f64 1 (pow.f64 x 3)) 3/8))
(+.f64 (fma.f64 3/2 (pow.f64 x -2) (/.f64 1 x)) (+.f64 (/.f64 1 (pow.f64 x 3)) 3/8))
(/.f64 1 (pow.f64 (-.f64 1 (exp.f64 (neg.f64 x))) 3))
(/.f64 1 (pow.f64 (-.f64 0 (expm1.f64 (neg.f64 x))) 3))
(/.f64 1 (pow.f64 (-.f64 1 (exp.f64 (neg.f64 x))) 3))
(/.f64 1 (pow.f64 (-.f64 0 (expm1.f64 (neg.f64 x))) 3))
(/.f64 1 (pow.f64 (-.f64 1 (exp.f64 (neg.f64 x))) 3))
(/.f64 1 (pow.f64 (-.f64 0 (expm1.f64 (neg.f64 x))) 3))
(/.f64 1 (pow.f64 (-.f64 1 (exp.f64 (neg.f64 x))) 3))
(/.f64 1 (pow.f64 (-.f64 0 (expm1.f64 (neg.f64 x))) 3))
(/.f64 1 (pow.f64 (-.f64 1 (exp.f64 (*.f64 -1 x))) 3))
(/.f64 1 (pow.f64 (-.f64 1 (exp.f64 (neg.f64 x))) 3))
(/.f64 1 (pow.f64 (-.f64 0 (expm1.f64 (neg.f64 x))) 3))
(/.f64 1 (pow.f64 (-.f64 1 (exp.f64 (*.f64 -1 x))) 3))
(/.f64 1 (pow.f64 (-.f64 1 (exp.f64 (neg.f64 x))) 3))
(/.f64 1 (pow.f64 (-.f64 0 (expm1.f64 (neg.f64 x))) 3))
(/.f64 1 (pow.f64 (-.f64 1 (exp.f64 (*.f64 -1 x))) 3))
(/.f64 1 (pow.f64 (-.f64 1 (exp.f64 (neg.f64 x))) 3))
(/.f64 1 (pow.f64 (-.f64 0 (expm1.f64 (neg.f64 x))) 3))
(/.f64 1 (pow.f64 (-.f64 1 (exp.f64 (*.f64 -1 x))) 3))
(/.f64 1 (pow.f64 (-.f64 1 (exp.f64 (neg.f64 x))) 3))
(/.f64 1 (pow.f64 (-.f64 0 (expm1.f64 (neg.f64 x))) 3))
(-.f64 (exp.f64 (log1p.f64 (/.f64 -1 (expm1.f64 x)))) 1)
(/.f64 -1 (expm1.f64 x))
(*.f64 -1 (/.f64 -1 (expm1.f64 x)))
(/.f64 1 (expm1.f64 x))
(*.f64 1 (/.f64 -1 (expm1.f64 x)))
(/.f64 -1 (expm1.f64 x))
(*.f64 (/.f64 -1 (expm1.f64 x)) -1)
(/.f64 1 (expm1.f64 x))
(*.f64 (/.f64 -1 (expm1.f64 x)) 1)
(/.f64 -1 (expm1.f64 x))
(*.f64 (/.f64 1 (cbrt.f64 (expm1.f64 x))) (cbrt.f64 (cbrt.f64 (pow.f64 (expm1.f64 x) -6))))
(/.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (expm1.f64 x) -6))) (cbrt.f64 (expm1.f64 x)))
(*.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (expm1.f64 x) -6))) (/.f64 1 (cbrt.f64 (expm1.f64 x))))
(*.f64 (/.f64 1 (cbrt.f64 (expm1.f64 x))) (cbrt.f64 (cbrt.f64 (pow.f64 (expm1.f64 x) -6))))
(/.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (expm1.f64 x) -6))) (cbrt.f64 (expm1.f64 x)))
(*.f64 (/.f64 1 (sqrt.f64 (expm1.f64 x))) (/.f64 1 (sqrt.f64 (expm1.f64 x))))
(/.f64 1 (expm1.f64 x))
(*.f64 (pow.f64 1 1/3) (/.f64 -1 (expm1.f64 x)))
(/.f64 -1 (expm1.f64 x))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (expm1.f64 x) -6)) 1/3) (/.f64 1 (cbrt.f64 (expm1.f64 x))))
(*.f64 (/.f64 1 (cbrt.f64 (expm1.f64 x))) (cbrt.f64 (cbrt.f64 (pow.f64 (expm1.f64 x) -6))))
(/.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (expm1.f64 x) -6))) (cbrt.f64 (expm1.f64 x)))
(*.f64 (pow.f64 (pow.f64 (expm1.f64 x) -3/2) 1/3) (pow.f64 (pow.f64 (expm1.f64 x) -3/2) 1/3))
(*.f64 (cbrt.f64 (pow.f64 (expm1.f64 x) -3/2)) (cbrt.f64 (pow.f64 (expm1.f64 x) -3/2)))
(pow.f64 (expm1.f64 x) -1)
(/.f64 1 (expm1.f64 x))
(pow.f64 (pow.f64 (expm1.f64 x) -3) 1/3)
(/.f64 1 (expm1.f64 x))
(pow.f64 (/.f64 -1 (expm1.f64 x)) 1)
(/.f64 -1 (expm1.f64 x))
(pow.f64 (/.f64 1 (cbrt.f64 (expm1.f64 x))) 3)
(/.f64 1 (expm1.f64 x))
(pow.f64 (/.f64 1 (sqrt.f64 (expm1.f64 x))) 2)
(/.f64 1 (expm1.f64 x))
(neg.f64 (/.f64 -1 (expm1.f64 x)))
(/.f64 1 (expm1.f64 x))
(sqrt.f64 (cbrt.f64 (pow.f64 (expm1.f64 x) -6)))
(log.f64 (exp.f64 (/.f64 -1 (expm1.f64 x))))
(/.f64 -1 (expm1.f64 x))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 -1 (expm1.f64 x)))))
(/.f64 -1 (expm1.f64 x))
(log.f64 (/.f64 1 (exp.f64 (/.f64 -1 (expm1.f64 x)))))
(/.f64 1 (expm1.f64 x))
(log.f64 (/.f64 1 (+.f64 1 (expm1.f64 (/.f64 -1 (expm1.f64 x))))))
(/.f64 1 (expm1.f64 x))
(cbrt.f64 (pow.f64 (expm1.f64 x) -3))
(/.f64 1 (expm1.f64 x))
(expm1.f64 (log1p.f64 (/.f64 -1 (expm1.f64 x))))
(/.f64 -1 (expm1.f64 x))
(exp.f64 (neg.f64 (log.f64 (expm1.f64 x))))
(/.f64 1 (expm1.f64 x))
(exp.f64 (.f64 (.f64 -3 (log.f64 (expm1.f64 x))) 1/3))
(/.f64 1 (expm1.f64 x))
(exp.f64 (*.f64 (neg.f64 (log.f64 (expm1.f64 x))) 1))
(/.f64 1 (expm1.f64 x))
(log1p.f64 (expm1.f64 (/.f64 -1 (expm1.f64 x))))
(/.f64 -1 (expm1.f64 x))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x 1/12))) 1)
(*.f64 x 1/12)
(pow.f64 (*.f64 x 1/12) 1)
(*.f64 x 1/12)
(pow.f64 (cbrt.f64 (*.f64 x 1/12)) 3)
(*.f64 x 1/12)
(pow.f64 (*.f64 (pow.f64 x 3) 1/1728) 1/3)
(cbrt.f64 (*.f64 (pow.f64 x 3) 1/1728))
(pow.f64 (sqrt.f64 (*.f64 x 1/12)) 2)
(*.f64 x 1/12)
(sqrt.f64 (*.f64 (pow.f64 x 2) 1/144))
(log.f64 (pow.f64 (exp.f64 x) 1/12))
(*.f64 x 1/12)
(log.f64 (+.f64 1 (expm1.f64 (*.f64 x 1/12))))
(*.f64 x 1/12)
(cbrt.f64 (*.f64 (pow.f64 x 3) 1/1728))
(expm1.f64 (log1p.f64 (*.f64 x 1/12)))
(*.f64 x 1/12)
(exp.f64 (log.f64 (*.f64 x 1/12)))
(*.f64 x 1/12)
(exp.f64 (.f64 (log.f64 (.f64 x 1/12)) 1))
(*.f64 x 1/12)
(log1p.f64 (expm1.f64 (*.f64 x 1/12)))
(*.f64 x 1/12)
(-.f64 (*.f64 x 1/12) (/.f64 -1 x))
(fma.f64 x 1/12 (/.f64 1 x))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 x 1/12 (/.f64 -1 x)))) 1)
(fma.f64 x 1/12 (/.f64 -1 x))
(-.f64 (/.f64 (*.f64 (pow.f64 x 2) 1/144) (fma.f64 x 1/12 (/.f64 -1 x))) (/.f64 (pow.f64 x -2) (fma.f64 x 1/12 (/.f64 -1 x))))
(-.f64 (/.f64 1/144 (/.f64 (fma.f64 x 1/12 (/.f64 -1 x)) (pow.f64 x 2))) (/.f64 (pow.f64 x -2) (fma.f64 x 1/12 (/.f64 -1 x))))
(*.f64 1 (fma.f64 x 1/12 (/.f64 -1 x)))
(fma.f64 x 1/12 (/.f64 -1 x))
(*.f64 (cbrt.f64 (fma.f64 x 1/12 (/.f64 -1 x))) (pow.f64 (cbrt.f64 (fma.f64 x 1/12 (/.f64 -1 x))) 2))
(fma.f64 x 1/12 (/.f64 -1 x))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 x 1/12 (/.f64 -1 x))) 2) (cbrt.f64 (fma.f64 x 1/12 (/.f64 -1 x))))
(fma.f64 x 1/12 (/.f64 -1 x))
(*.f64 (pow.f64 (fma.f64 x 1/12 (/.f64 -1 x)) 2) (/.f64 1 (fma.f64 x 1/12 (/.f64 -1 x))))
(fma.f64 x 1/12 (/.f64 -1 x))
(*.f64 (sqrt.f64 (fma.f64 x 1/12 (/.f64 -1 x))) (sqrt.f64 (fma.f64 x 1/12 (/.f64 -1 x))))
(fma.f64 x 1/12 (/.f64 -1 x))
(.f64 (fma.f64 (pow.f64 x 3) 1/1728 (pow.f64 x -3)) (/.f64 1 (-.f64 (fma.f64 (pow.f64 x 2) 1/144 (pow.f64 x -2)) (/.f64 (.f64 x 1/12) x))))
(/.f64 1 (/.f64 (-.f64 (fma.f64 (pow.f64 x 2) 1/144 (pow.f64 x -2)) (/.f64 (*.f64 x 1/12) x)) (fma.f64 (pow.f64 x 3) 1/1728 (pow.f64 x -3))))
(/.f64 (fma.f64 (pow.f64 x 3) 1/1728 (pow.f64 x -3)) (+.f64 (pow.f64 x -2) (fma.f64 (pow.f64 x 2) 1/144 (/.f64 (*.f64 x -1/12) x))))
(/.f64 (fma.f64 (pow.f64 x 3) 1/1728 (pow.f64 x -3)) (+.f64 -1/12 (fma.f64 (pow.f64 x 2) 1/144 (pow.f64 x -2))))
(*.f64 (fma.f64 x 1/12 (/.f64 -1 x)) 1)
(fma.f64 x 1/12 (/.f64 -1 x))
(.f64 (+.f64 (sqrt.f64 (.f64 x 1/12)) (pow.f64 x -1/2)) (-.f64 (sqrt.f64 (*.f64 x 1/12)) (pow.f64 x -1/2)))
(fma.f64 x 1/12 (/.f64 -1 x))
(/.f64 1 (/.f64 (-.f64 (fma.f64 (pow.f64 x 2) 1/144 (pow.f64 x -2)) (/.f64 (*.f64 x 1/12) x)) (fma.f64 (pow.f64 x 3) 1/1728 (pow.f64 x -3))))
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(/.f64 1 (expm1.f64 x))
(pow.f64 (expm1.f64 x) -1)
(/.f64 1 (expm1.f64 x))
(pow.f64 (pow.f64 (expm1.f64 x) -3) 1/3)
(/.f64 1 (expm1.f64 x))
(pow.f64 (/.f64 -1 (expm1.f64 x)) 1)
(/.f64 -1 (expm1.f64 x))
(pow.f64 (/.f64 1 (cbrt.f64 (expm1.f64 x))) 3)
(/.f64 1 (expm1.f64 x))
(pow.f64 (/.f64 1 (sqrt.f64 (expm1.f64 x))) 2)
(/.f64 1 (expm1.f64 x))
(neg.f64 (/.f64 -1 (expm1.f64 x)))
(/.f64 1 (expm1.f64 x))
(sqrt.f64 (cbrt.f64 (pow.f64 (expm1.f64 x) -6)))
(log.f64 (exp.f64 (/.f64 -1 (expm1.f64 x))))
(/.f64 -1 (expm1.f64 x))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 -1 (expm1.f64 x)))))
(/.f64 -1 (expm1.f64 x))
(log.f64 (/.f64 1 (exp.f64 (/.f64 -1 (expm1.f64 x)))))
(/.f64 1 (expm1.f64 x))
(log.f64 (/.f64 1 (+.f64 1 (expm1.f64 (/.f64 -1 (expm1.f64 x))))))
(/.f64 1 (expm1.f64 x))
(expm1.f64 (log1p.f64 (/.f64 -1 (expm1.f64 x))))
(/.f64 -1 (expm1.f64 x))
(exp.f64 (neg.f64 (log.f64 (expm1.f64 x))))
(/.f64 1 (expm1.f64 x))
(exp.f64 (.f64 (.f64 -3 (log.f64 (expm1.f64 x))) 1/3))
(/.f64 1 (expm1.f64 x))
(exp.f64 (*.f64 (neg.f64 (log.f64 (expm1.f64 x))) 1))
(/.f64 1 (expm1.f64 x))
(log1p.f64 (expm1.f64 (/.f64 -1 (expm1.f64 x))))
(/.f64 -1 (expm1.f64 x))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (expm1.f64 x) -3))) 1)
(pow.f64 (expm1.f64 x) -3)
(*.f64 -1 (pow.f64 (expm1.f64 x) -3))
(neg.f64 (pow.f64 (expm1.f64 x) -3))
(*.f64 1 (pow.f64 (expm1.f64 x) -3))
(pow.f64 (expm1.f64 x) -3)
(*.f64 (pow.f64 (expm1.f64 x) -3) 1)
(pow.f64 (expm1.f64 x) -3)
(*.f64 (/.f64 -1 (expm1.f64 x)) (cbrt.f64 (pow.f64 (expm1.f64 x) -6)))
(/.f64 (neg.f64 (cbrt.f64 (pow.f64 (expm1.f64 x) -6))) (expm1.f64 x))
(neg.f64 (/.f64 (cbrt.f64 (pow.f64 (expm1.f64 x) -6)) (expm1.f64 x)))
(*.f64 (cbrt.f64 (pow.f64 (expm1.f64 x) -6)) (/.f64 -1 (expm1.f64 x)))
(*.f64 (/.f64 -1 (expm1.f64 x)) (cbrt.f64 (pow.f64 (expm1.f64 x) -6)))
(/.f64 (neg.f64 (cbrt.f64 (pow.f64 (expm1.f64 x) -6))) (expm1.f64 x))
(neg.f64 (/.f64 (cbrt.f64 (pow.f64 (expm1.f64 x) -6)) (expm1.f64 x)))
(*.f64 (pow.f64 (expm1.f64 x) -3/2) (pow.f64 (expm1.f64 x) -3/2))
(pow.f64 (expm1.f64 x) -3)
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) 2) -3) (pow.f64 (cbrt.f64 (expm1.f64 x)) -3))
(*.f64 (pow.f64 (sqrt.f64 (expm1.f64 x)) -3) (pow.f64 (sqrt.f64 (expm1.f64 x)) -3))
(pow.f64 (sqrt.f64 (expm1.f64 x)) -6)
(.f64 (.f64 (cbrt.f64 (pow.f64 (expm1.f64 x) -6)) -1) (/.f64 -1 (expm1.f64 x)))
(*.f64 (cbrt.f64 (pow.f64 (expm1.f64 x) -6)) (/.f64 1 (expm1.f64 x)))
(/.f64 (cbrt.f64 (pow.f64 (expm1.f64 x) -6)) (expm1.f64 x))
(.f64 (.f64 (cbrt.f64 (pow.f64 (expm1.f64 x) -6)) 1) (/.f64 -1 (expm1.f64 x)))
(*.f64 (/.f64 -1 (expm1.f64 x)) (cbrt.f64 (pow.f64 (expm1.f64 x) -6)))
(/.f64 (neg.f64 (cbrt.f64 (pow.f64 (expm1.f64 x) -6))) (expm1.f64 x))
(neg.f64 (/.f64 (cbrt.f64 (pow.f64 (expm1.f64 x) -6)) (expm1.f64 x)))
(.f64 (.f64 (cbrt.f64 (pow.f64 (expm1.f64 x) -6)) (cbrt.f64 (cbrt.f64 (pow.f64 (expm1.f64 x) -6)))) (/.f64 1 (cbrt.f64 (expm1.f64 x))))
(.f64 (/.f64 1 (cbrt.f64 (expm1.f64 x))) (.f64 (cbrt.f64 (pow.f64 (expm1.f64 x) -6)) (cbrt.f64 (cbrt.f64 (pow.f64 (expm1.f64 x) -6)))))
(*.f64 (cbrt.f64 (pow.f64 (expm1.f64 x) -6)) (/.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (expm1.f64 x) -6))) (cbrt.f64 (expm1.f64 x))))
(.f64 (.f64 (cbrt.f64 (pow.f64 (expm1.f64 x) -6)) (/.f64 1 (sqrt.f64 (expm1.f64 x)))) (/.f64 1 (sqrt.f64 (expm1.f64 x))))
(*.f64 (cbrt.f64 (pow.f64 (expm1.f64 x) -6)) (/.f64 1 (expm1.f64 x)))
(/.f64 (cbrt.f64 (pow.f64 (expm1.f64 x) -6)) (expm1.f64 x))
(/.f64 (cbrt.f64 (pow.f64 (expm1.f64 x) -6)) (expm1.f64 x))
(*.f64 (cbrt.f64 (pow.f64 (expm1.f64 x) -6)) (/.f64 1 (expm1.f64 x)))
(/.f64 (*.f64 (cbrt.f64 (pow.f64 (expm1.f64 x) -6)) -1) (expm1.f64 x))
(*.f64 (/.f64 -1 (expm1.f64 x)) (cbrt.f64 (pow.f64 (expm1.f64 x) -6)))
(/.f64 (neg.f64 (cbrt.f64 (pow.f64 (expm1.f64 x) -6))) (expm1.f64 x))
(neg.f64 (/.f64 (cbrt.f64 (pow.f64 (expm1.f64 x) -6)) (expm1.f64 x)))
(/.f64 (*.f64 (cbrt.f64 (pow.f64 (expm1.f64 x) -6)) 1) (expm1.f64 x))
(*.f64 (cbrt.f64 (pow.f64 (expm1.f64 x) -6)) (/.f64 1 (expm1.f64 x)))
(/.f64 (cbrt.f64 (pow.f64 (expm1.f64 x) -6)) (expm1.f64 x))
(sqrt.f64 (pow.f64 (expm1.f64 x) -6))
(pow.f64 (expm1.f64 x) -3)
(log.f64 (exp.f64 (pow.f64 (expm1.f64 x) -3)))
(pow.f64 (expm1.f64 x) -3)
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (expm1.f64 x) -3))))
(pow.f64 (expm1.f64 x) -3)
(cbrt.f64 (pow.f64 (pow.f64 (expm1.f64 x) -3) 3))
(pow.f64 (expm1.f64 x) -3)
(expm1.f64 (log1p.f64 (pow.f64 (expm1.f64 x) -3)))
(pow.f64 (expm1.f64 x) -3)
(exp.f64 (*.f64 -3 (log.f64 (expm1.f64 x))))
(pow.f64 (expm1.f64 x) -3)
(exp.f64 (.f64 (.f64 -3 (log.f64 (expm1.f64 x))) 1))
(pow.f64 (expm1.f64 x) -3)
(log1p.f64 (expm1.f64 (pow.f64 (expm1.f64 x) -3)))
(pow.f64 (expm1.f64 x) -3)

eval103.0ms (3.6%)

Compiler: Compiled 4271 to 3237 computations (24.2% saved)

prune36.0ms (1.3%)

Pruning

6 alts after pruning (0 fresh and 6 done)

	Pruned	Kept	Total
New	280	0	280
Fresh	0	0	0
Picked	0	5	5
Done	0	1	1
Total	280	6	286

Accuracy

100.0%

Counts

286 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(/.f64 (exp.f64 x) (expm1.f64 x))
✓	62.3%	(/.f64 1 x)
✓	100.0%	(/.f64 -1 (expm1.f64 (neg.f64 x)))
✓	62.6%	(+.f64 (/.f64 1 x) 1/2)
✓	62.9%	(+.f64 1/2 (+.f64 (*.f64 1/12 x) (/.f64 1 x)))
✓	63.9%	(cbrt.f64 (pow.f64 (neg.f64 (expm1.f64 (neg.f64 x))) -3))

Compiler

Compiled 82 to 60 computations (26.8% saved)

regimes49.0ms (1.7%)

Counts

7 → 1

Calls

Call 1

Inputs
(/.f64 1 x)
(+.f64 (/.f64 1 x) 1/2)
(+.f64 1/2 (+.f64 (*.f64 1/12 x) (/.f64 1 x)))
(/.f64 -1 (expm1.f64 (neg.f64 x)))
(/.f64 (exp.f64 x) (expm1.f64 x))
(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) 1))
(cbrt.f64 (pow.f64 (neg.f64 (expm1.f64 (neg.f64 x))) -3))

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

Calls

3 calls:

40.0ms	(exp.f64 x)
5.0ms	x
2.0ms	(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) 1))

Results

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

Compiler

Compiled 55 to 36 computations (34.5% saved)

regimes5.0ms (0.2%)

Counts

4 → 1

Calls

Call 1

Inputs
(/.f64 1 x)
(+.f64 (/.f64 1 x) 1/2)
(+.f64 1/2 (+.f64 (*.f64 1/12 x) (/.f64 1 x)))
(/.f64 -1 (expm1.f64 (neg.f64 x)))

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

Calls

1 calls:

4.0ms

Results

Accuracy	Segments	Branch
100.0%	1	`x`

Compiler

Compiled 25 to 19 computations (24% saved)

regimes4.0ms (0.1%)

Counts

3 → 1

Calls

Call 1

Inputs
(/.f64 1 x)
(+.f64 (/.f64 1 x) 1/2)
(+.f64 1/2 (+.f64 (*.f64 1/12 x) (/.f64 1 x)))

Outputs
(+.f64 1/2 (+.f64 (*.f64 1/12 x) (/.f64 1 x)))

Calls

1 calls:

3.0ms

Results

Accuracy	Segments	Branch
62.9%	1	`x`

Compiler

Compiled 20 to 15 computations (25% saved)

regimes6.0ms (0.2%)

Counts

2 → 1

Calls

Call 1

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

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

Calls

1 calls:

5.0ms

Results

Accuracy	Segments	Branch
62.6%	1	`x`

Compiler

Compiled 11 to 8 computations (27.3% saved)

regimes3.0ms (0.1%)

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

Inputs
(/.f64 1 x)

Outputs
(/.f64 1 x)

Calls

1 calls:

3.0ms

Results

Accuracy	Segments	Branch
62.3%	1	`x`

Compiler

Compiled 6 to 4 computations (33.3% saved)

simplify4.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

8×	`+-commutative`
4×	`*-commutative`
3×	`1-exp`
2×	`sub-neg`
2×	`neg-mul-1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	21	96
1	32	96
2	34	96
3	35	96

Stop Event

1×	done
1×	saturated

Calls

Call 1

Inputs
(/.f64 (exp.f64 x) (expm1.f64 x))
(/.f64 -1 (expm1.f64 (neg.f64 x)))
(+.f64 1/2 (+.f64 (*.f64 1/12 x) (/.f64 1 x)))
(+.f64 (/.f64 1 x) 1/2)
(/.f64 1 x)

Outputs
(/.f64 (exp.f64 x) (expm1.f64 x))
(/.f64 -1 (expm1.f64 (neg.f64 x)))
(+.f64 1/2 (+.f64 (*.f64 1/12 x) (/.f64 1 x)))
(+.f64 1/2 (+.f64 (*.f64 x 1/12) (/.f64 1 x)))
(+.f64 (/.f64 1 x) 1/2)
(+.f64 1/2 (/.f64 1 x))
(/.f64 1 x)

Compiler

Compiled 32 to 25 computations (21.9% saved)

soundness346.0ms (12.1%)

Rules

1256×	`distribute-lft-in`
946×	`fma-neg`
910×	`div-sub`
862×	`times-frac`
862×	`times-frac`

Iterations

Useful iterations: 7 (0.0ms)

Iter	Nodes	Cost
0	15	104
1	33	102
2	46	102
3	68	102
4	135	82
5	439	82
6	2248	82
7	4558	78
0	212	2362
1	523	2266
2	1408	2220
3	5548	1957
0	212	2362
1	523	2266
2	1408	2220
3	5548	1957

Stop Event

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

Compiler

Compiled 173 to 94 computations (45.7% saved)

end0.0ms (0%)

preprocess52.0ms (1.8%)

Compiler: Compiled 86 to 64 computations (25.6% saved)

analyze185.0ms (6.5%)

sample1.3s (44.2%)

preprocess130.0ms (4.6%)

eval0.0ms (0%)

prune1.0ms (0%)

localize25.0ms (0.9%)

series2.0ms (0.1%)

rewrite172.0ms (6%)

simplify82.0ms (2.9%)

eval22.0ms (0.8%)

prune18.0ms (0.6%)

localize112.0ms (3.9%)

series13.0ms (0.5%)

rewrite109.0ms (3.8%)

simplify111.0ms (3.9%)

eval103.0ms (3.6%)

prune36.0ms (1.3%)

regimes49.0ms (1.7%)

regimes5.0ms (0.2%)

regimes4.0ms (0.1%)

regimes6.0ms (0.2%)

regimes3.0ms (0.1%)

simplify4.0ms (0.1%)

soundness346.0ms (12.1%)

end0.0ms (0%)

preprocess52.0ms (1.8%)

Profiling