Metrics for expax (section 3.5)

analyze23.0ms (0.9%)

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	99.9%	0.1%	0%	0%	0%	0
0%	0%	99.9%	0.1%	0%	0%	0%	1
0%	0%	99.9%	0.1%	0%	0%	0%	2
50%	50%	50%	0.1%	0%	0%	0%	3
50%	50%	50%	0.1%	0%	0%	0%	4
62.5%	62.4%	37.5%	0.1%	0%	0%	0%	5
66.7%	62.4%	31.2%	6.3%	0%	0%	0%	6
75.9%	68.7%	21.9%	9.5%	0%	0%	0%	7
80%	68.7%	17.2%	14.1%	0%	0%	0%	8
86%	71.8%	11.7%	16.5%	0%	0%	0%	9
88.9%	71.8%	9%	19.2%	0%	0%	0%	10
92.4%	73.4%	6%	20.6%	0%	0%	0%	11
94.1%	73.4%	4.6%	22%	0%	0%	0%	12

Compiler

Compiled 13 to 8 computations (38.5% saved)

sample1.8s (70.1%)

Results

686.0ms	1425×	body	2048	valid
446.0ms	1726×	body	1024	valid
417.0ms	3960×	body	256	valid
190.0ms	1145×	body	512	valid
27.0ms	300×	body	256	precondition

Bogosity

preprocess115.0ms (4.6%)

Algorithm

1×	egg-herbie

Rules

1042×	`associate-r`
992×	`times-frac`
972×	`fma-neg`
808×	`associate-l`
652×	`unswap-sqr`

Problems

133×	`(-.f64 (exp.f64 (*.f64 a x)) 1)`
122×	No Errors
1×	`(exp.f64 (*.f64 a x))`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	25	143
1	55	143
2	97	143
3	202	143
4	481	143
5	1364	143
6	4774	143

Stop Event

1×	node limit

Calls

Call 1

Inputs
(-.f64 (exp.f64 (*.f64 a x)) 1)
(-.f64 (exp.f64 (*.f64 a x)) 1)
(-.f64 (exp.f64 (*.f64 (neg.f64 a) x)) 1)
(-.f64 (exp.f64 (*.f64 a (neg.f64 x))) 1)
(neg.f64 (-.f64 (exp.f64 (*.f64 (neg.f64 a) x)) 1))
(neg.f64 (-.f64 (exp.f64 (*.f64 a (neg.f64 x))) 1))
(-.f64 (exp.f64 (*.f64 x a)) 1)

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

Symmetry

(sort a x)

Compiler

Compiled 27 to 14 computations (48.1% 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%	(expm1.f64 (*.f64 a x))
▶	100.0%	(expm1.f64 (*.f64 a x))

Compiler

Compiled 12 to 8 computations (33.3% saved)

localize20.0ms (0.8%)

Localize:

Found 1 expressions with local error:

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

Compiler

Compiled 12 to 5 computations (58.3% saved)

series2.0ms (0.1%)

Counts

1 → 24

Calls

6 calls:

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

rewrite100.0ms (4%)

Algorithm

1×	batch-egg-rewrite

Rules

486×	`unpow-prod-down`
384×	`log-prod`
368×	`cbrt-prod`
332×	`sqrt-prod`
321×	`log1p-expm1-u`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	17
1	82	17
2	887	17

Stop Event

1×	node limit

Counts

1 → 47

Calls

Call 1

Inputs
(expm1.f64 (*.f64 a x))

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

simplify64.0ms (2.5%)

Algorithm

1×	egg-herbie

Rules

1026×	`associate-/l*`
808×	`fma-def`
696×	`associate-/r*`
508×	`unswap-sqr`
500×	`div-sub`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	157	2337
1	343	2271
2	1054	2235
3	4040	2219

Stop Event

1×	node limit

Counts

71 → 75

Calls

Call 1

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

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

eval17.0ms (0.7%)

Compiler: Compiled 1058 to 502 computations (52.6% saved)

prune10.0ms (0.4%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	73	2	75
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	73	3	76

Accuracy

100.0%

Counts

76 → 3

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.0%	(pow.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))) 3)
▶	65.5%	(*.f64 a x)
✓	100.0%	(expm1.f64 (*.f64 a x))
▶	99.0%	(pow.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))) 3)
▶	65.5%	(*.f64 a x)
✓	100.0%	(expm1.f64 (*.f64 a x))

Compiler

Compiled 40 to 28 computations (30% saved)

localize39.0ms (1.5%)

Localize:

Found 3 expressions with local error:

New	Accuracy	Program
	100.0%	(expm1.f64 (*.f64 a x))
✓	99.5%	(pow.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))) 3)
✓	87.0%	(cbrt.f64 (expm1.f64 (*.f64 a x)))

Compiler

Compiled 30 to 9 computations (70% saved)

series18.0ms (0.7%)

Counts

2 → 32

Calls

12 calls:

Time	Variable		Point	Expression
3.0ms	x	@	-inf	(cbrt.f64 (expm1.f64 (*.f64 a x)))
2.0ms	x	@	-inf	(pow.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))) 3)
2.0ms	x	@	0	(pow.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))) 3)
2.0ms	a	@	inf	(cbrt.f64 (expm1.f64 (*.f64 a x)))
2.0ms	a	@	0	(pow.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))) 3)

rewrite64.0ms (2.5%)

Algorithm

1×	batch-egg-rewrite

Rules

702×	`unpow-prod-down`
484×	`log-prod`
428×	`cbrt-prod`
393×	`log1p-expm1-u`
392×	`expm1-log1p-u`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	38
1	118	38
2	1153	38

Stop Event

1×	node limit

Counts

2 → 82

Calls

Call 1

Inputs
(cbrt.f64 (expm1.f64 (*.f64 a x)))
(pow.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))) 3)

Outputs
(+.f64 0 (cbrt.f64 (expm1.f64 (*.f64 a x))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (cbrt.f64 (expm1.f64 (.f64 a x))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (cbrt.f64 (expm1.f64 (.f64 a x)))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (cbrt.f64 (expm1.f64 (.f64 a x)))))) (log.f64 (sqrt.f64 (exp.f64 (cbrt.f64 (expm1.f64 (.f64 a x)))))))
(-.f64 (+.f64 1 (cbrt.f64 (expm1.f64 (*.f64 a x)))) 1)
(.f64 (cbrt.f64 (expm1.f64 (.f64 a x))) 1)
(.f64 1 (cbrt.f64 (expm1.f64 (.f64 a x))))
(.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 (.f64 a x)))) (pow.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 (*.f64 a x)))) 2))
(.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 (.f64 a x)))) 2) (cbrt.f64 (cbrt.f64 (expm1.f64 (*.f64 a x)))))
(.f64 (pow.f64 (expm1.f64 (.f64 a x)) 1/6) (pow.f64 (expm1.f64 (*.f64 a x)) 1/6))
(.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 (.f64 a x))))) 2) (pow.f64 (cbrt.f64 (.f64 (cbrt.f64 (expm1.f64 (.f64 a x))) (pow.f64 (expm1.f64 (*.f64 a x)) 2))) 1/3))
(.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 (.f64 a x))))) 2) (cbrt.f64 (cbrt.f64 (.f64 (cbrt.f64 (expm1.f64 (.f64 a x))) (pow.f64 (expm1.f64 (*.f64 a x)) 2)))))
(.f64 (cbrt.f64 (pow.f64 (expm1.f64 (.f64 a x)) 1/6)) (pow.f64 (pow.f64 (expm1.f64 (*.f64 a x)) 5/6) 1/3))
(.f64 (cbrt.f64 (pow.f64 (expm1.f64 (.f64 a x)) 1/6)) (cbrt.f64 (pow.f64 (expm1.f64 (*.f64 a x)) 5/6)))
(.f64 (pow.f64 (pow.f64 (expm1.f64 (.f64 a x)) 5/6) 1/3) (cbrt.f64 (pow.f64 (expm1.f64 (*.f64 a x)) 1/6)))
(.f64 (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (expm1.f64 (.f64 a x))) 8)) 1/3) (cbrt.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))))))
(.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 (.f64 a x))))) 3) (pow.f64 (sqrt.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))))) 3))
(.f64 (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 (.f64 a x)))) 4)) 3/2) (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))))) 2) 3/2))
(.f64 (pow.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 (.f64 a x)))) 2)) 3/2) (pow.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 (*.f64 a x)))) 2)) 3/2))
(.f64 (cbrt.f64 (pow.f64 (expm1.f64 (.f64 a x)) 5/6)) (cbrt.f64 (pow.f64 (expm1.f64 (*.f64 a x)) 1/6)))
(.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (expm1.f64 (.f64 a x))) 8))) (cbrt.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))))))
(/.f64 (cbrt.f64 (-.f64 (pow.f64 (pow.f64 (exp.f64 a) x) 2) 1)) (cbrt.f64 (+.f64 (pow.f64 (exp.f64 a) x) 1)))
(/.f64 (cbrt.f64 (-.f64 (pow.f64 (pow.f64 (exp.f64 a) x) 3) 1)) (cbrt.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 a) x) 2) (+.f64 1 (*.f64 (pow.f64 (exp.f64 a) x) 1)))))
(pow.f64 (expm1.f64 (*.f64 a x)) 1/3)
(pow.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))) 1)
(pow.f64 (pow.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))) 2) 1/2)
(pow.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 (*.f64 a x)))) 3)
(pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 (*.f64 a x)))) 2) 3/2)
(pow.f64 (pow.f64 (expm1.f64 (*.f64 a x)) 2) 1/6)
(pow.f64 (pow.f64 (expm1.f64 (*.f64 a x)) 3) 1/9)
(pow.f64 (pow.f64 (expm1.f64 (*.f64 a x)) 1/6) 2)
(pow.f64 (sqrt.f64 (expm1.f64 (*.f64 a x))) 2/3)
(pow.f64 (E.f64) (log.f64 (cbrt.f64 (expm1.f64 (*.f64 a x)))))
(pow.f64 (exp.f64 1/3) (log.f64 (expm1.f64 (*.f64 a x))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (cbrt.f64 (expm1.f64 (.f64 a x))))) 2)) (cbrt.f64 (log.f64 (cbrt.f64 (expm1.f64 (.f64 a x))))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (cbrt.f64 (expm1.f64 (.f64 a x)))))) (sqrt.f64 (log.f64 (cbrt.f64 (expm1.f64 (.f64 a x))))))
(sqrt.f64 (pow.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))) 2))
(log.f64 (exp.f64 (cbrt.f64 (expm1.f64 (*.f64 a x)))))
(expm1.f64 (log1p.f64 (cbrt.f64 (expm1.f64 (*.f64 a x)))))
(exp.f64 (log.f64 (cbrt.f64 (expm1.f64 (*.f64 a x)))))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 (.f64 a x))))) 3))
(exp.f64 (.f64 (.f64 1/6 (log.f64 (expm1.f64 (*.f64 a x)))) 2))
(exp.f64 (.f64 (.f64 2 (log.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 (*.f64 a x)))))) 3/2))
(log1p.f64 (expm1.f64 (cbrt.f64 (expm1.f64 (*.f64 a x)))))
(+.f64 (pow.f64 (exp.f64 a) x) -1)
(+.f64 0 (expm1.f64 (*.f64 a x)))
(+.f64 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (expm1.f64 (.f64 a x))) 2))) (log.f64 (cbrt.f64 (exp.f64 (expm1.f64 (.f64 a x))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (expm1.f64 (.f64 a x))))) (log.f64 (sqrt.f64 (exp.f64 (expm1.f64 (.f64 a x))))))
(-.f64 (pow.f64 (exp.f64 a) x) 1)
(.f64 (expm1.f64 (.f64 a x)) 1)
(.f64 (cbrt.f64 (expm1.f64 (.f64 a x))) (pow.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))) 2))
(.f64 (cbrt.f64 (expm1.f64 (.f64 a x))) (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 (*.f64 a x)))) 4) 3/2))
(.f64 1 (expm1.f64 (.f64 a x)))
(.f64 (pow.f64 (cbrt.f64 (expm1.f64 (.f64 a x))) 2) (cbrt.f64 (expm1.f64 (*.f64 a x))))
(.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 (.f64 a x)))) 2) (cbrt.f64 (.f64 (cbrt.f64 (expm1.f64 (.f64 a x))) (pow.f64 (expm1.f64 (*.f64 a x)) 2))))
(.f64 (pow.f64 (expm1.f64 (.f64 a x)) 1/6) (pow.f64 (expm1.f64 (*.f64 a x)) 5/6))
(.f64 (sqrt.f64 (expm1.f64 (.f64 a x))) (sqrt.f64 (expm1.f64 (*.f64 a x))))
(.f64 (pow.f64 (expm1.f64 (.f64 a x)) 1/4) (pow.f64 (sqrt.f64 (expm1.f64 (*.f64 a x))) 3/2))
(.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (expm1.f64 (.f64 a x))) 8)) (cbrt.f64 (cbrt.f64 (expm1.f64 (*.f64 a x)))))
(.f64 (pow.f64 (expm1.f64 (.f64 a x)) 5/6) (pow.f64 (expm1.f64 (*.f64 a x)) 1/6))
(.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 (.f64 a x)))) 4) 3/2) (cbrt.f64 (expm1.f64 (*.f64 a x))))
(.f64 (pow.f64 (sqrt.f64 (expm1.f64 (.f64 a x))) 3/2) (pow.f64 (expm1.f64 (*.f64 a x)) 1/4))
(.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 (.f64 a x)))) 5) 3/2) (pow.f64 (expm1.f64 (*.f64 a x)) 1/6))
(.f64 (pow.f64 (sqrt.f64 (pow.f64 (expm1.f64 (.f64 a x)) 3)) 1/3) (pow.f64 (sqrt.f64 (pow.f64 (expm1.f64 (*.f64 a x)) 3)) 1/3))
(.f64 (pow.f64 (pow.f64 (cbrt.f64 (expm1.f64 (.f64 a x))) 7) 1/3) (pow.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 (*.f64 a x)))) 2))
(.f64 (pow.f64 (pow.f64 (cbrt.f64 (expm1.f64 (.f64 a x))) 8) 1/3) (cbrt.f64 (cbrt.f64 (expm1.f64 (*.f64 a x)))))
(.f64 (pow.f64 (pow.f64 (expm1.f64 (.f64 a x)) 5/2) 1/3) (pow.f64 (expm1.f64 (*.f64 a x)) 1/6))
(.f64 (cbrt.f64 (sqrt.f64 (pow.f64 (expm1.f64 (.f64 a x)) 3))) (cbrt.f64 (sqrt.f64 (pow.f64 (expm1.f64 (*.f64 a x)) 3))))
(.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (expm1.f64 (.f64 a x))) 7)) (pow.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 (*.f64 a x)))) 2))
(/.f64 (-.f64 (pow.f64 (pow.f64 (exp.f64 a) x) 3) 1) (+.f64 (pow.f64 (pow.f64 (exp.f64 a) x) 2) (+.f64 1 (*.f64 (pow.f64 (exp.f64 a) x) 1))))
(/.f64 (-.f64 (pow.f64 (pow.f64 (exp.f64 a) x) 2) 1) (+.f64 (pow.f64 (exp.f64 a) x) 1))
(sqrt.f64 (pow.f64 (expm1.f64 (*.f64 a x)) 2))
(log.f64 (exp.f64 (expm1.f64 (*.f64 a x))))
(cbrt.f64 (pow.f64 (expm1.f64 (*.f64 a x)) 3))
(expm1.f64 (*.f64 a x))
(exp.f64 (log.f64 (expm1.f64 (*.f64 a x))))
(exp.f64 (.f64 (.f64 2/3 (log.f64 (expm1.f64 (*.f64 a x)))) 3/2))
(exp.f64 (.f64 (.f64 3 (log.f64 (expm1.f64 (*.f64 a x)))) 1/3))
(exp.f64 (.f64 (log.f64 (sqrt.f64 (expm1.f64 (.f64 a x)))) 2))
(log1p.f64 (expm1.f64 (expm1.f64 (*.f64 a x))))
(fma.f64 1 (pow.f64 (exp.f64 a) x) -1)
(fma.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 a) x)) 2) (cbrt.f64 (pow.f64 (exp.f64 a) x)) -1)
(fma.f64 (sqrt.f64 (pow.f64 (exp.f64 a) x)) (sqrt.f64 (pow.f64 (exp.f64 a) x)) -1)

simplify72.0ms (2.9%)

Algorithm

1×	egg-herbie

Rules

1134×	`times-frac`
1038×	`fma-def`
726×	`sqr-pow`
596×	`exp-prod`
522×	`log-prod`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	216	4294970972
1	443	3694
2	1228	3688
3	4312	3578

Stop Event

1×	node limit

Counts

114 → 107

Calls

Call 1

Inputs
(pow.f64 (-.f64 (exp.f64 (*.f64 a x)) 1) 1/3)
(pow.f64 (-.f64 (exp.f64 (*.f64 a x)) 1) 1/3)
(pow.f64 (-.f64 (exp.f64 (*.f64 a x)) 1) 1/3)
(pow.f64 (-.f64 (exp.f64 (*.f64 a x)) 1) 1/3)
(pow.f64 (-.f64 (exp.f64 (*.f64 a x)) 1) 1/3)
(pow.f64 (-.f64 (exp.f64 (*.f64 a x)) 1) 1/3)
(pow.f64 (-.f64 (exp.f64 (*.f64 a x)) 1) 1/3)
(pow.f64 (-.f64 (exp.f64 (*.f64 a x)) 1) 1/3)
(pow.f64 (-.f64 (exp.f64 (*.f64 a x)) 1) 1/3)
(pow.f64 (-.f64 (exp.f64 (*.f64 a x)) 1) 1/3)
(pow.f64 (-.f64 (exp.f64 (*.f64 a x)) 1) 1/3)
(pow.f64 (-.f64 (exp.f64 (*.f64 a x)) 1) 1/3)
(pow.f64 (-.f64 (exp.f64 (*.f64 a x)) 1) 1/3)
(pow.f64 (-.f64 (exp.f64 (*.f64 a x)) 1) 1/3)
(pow.f64 (-.f64 (exp.f64 (*.f64 a x)) 1) 1/3)
(pow.f64 (-.f64 (exp.f64 (*.f64 a x)) 1) 1/3)
(.f64 (pow.f64 1 1/3) (-.f64 (exp.f64 (.f64 a x)) 1))
(.f64 (pow.f64 1 1/3) (-.f64 (exp.f64 (.f64 a x)) 1))
(.f64 (pow.f64 1 1/3) (-.f64 (exp.f64 (.f64 a x)) 1))
(.f64 (pow.f64 1 1/3) (-.f64 (exp.f64 (.f64 a x)) 1))
(.f64 (pow.f64 1 1/3) (-.f64 (exp.f64 (.f64 a x)) 1))
(.f64 (pow.f64 1 1/3) (-.f64 (exp.f64 (.f64 a x)) 1))
(.f64 (pow.f64 1 1/3) (-.f64 (exp.f64 (.f64 a x)) 1))
(.f64 (pow.f64 1 1/3) (-.f64 (exp.f64 (.f64 a x)) 1))
(.f64 (pow.f64 1 1/3) (-.f64 (exp.f64 (.f64 a x)) 1))
(.f64 (pow.f64 1 1/3) (-.f64 (exp.f64 (.f64 a x)) 1))
(.f64 (pow.f64 1 1/3) (-.f64 (exp.f64 (.f64 a x)) 1))
(.f64 (pow.f64 1 1/3) (-.f64 (exp.f64 (.f64 a x)) 1))
(.f64 (pow.f64 1 1/3) (-.f64 (exp.f64 (.f64 a x)) 1))
(.f64 (pow.f64 1 1/3) (-.f64 (exp.f64 (.f64 a x)) 1))
(.f64 (pow.f64 1 1/3) (-.f64 (exp.f64 (.f64 a x)) 1))
(.f64 (pow.f64 1 1/3) (-.f64 (exp.f64 (.f64 a x)) 1))
(+.f64 0 (cbrt.f64 (expm1.f64 (*.f64 a x))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (cbrt.f64 (expm1.f64 (.f64 a x))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (cbrt.f64 (expm1.f64 (.f64 a x)))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (cbrt.f64 (expm1.f64 (.f64 a x)))))) (log.f64 (sqrt.f64 (exp.f64 (cbrt.f64 (expm1.f64 (.f64 a x)))))))
(-.f64 (+.f64 1 (cbrt.f64 (expm1.f64 (*.f64 a x)))) 1)
(.f64 (cbrt.f64 (expm1.f64 (.f64 a x))) 1)
(.f64 1 (cbrt.f64 (expm1.f64 (.f64 a x))))
(.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 (.f64 a x)))) (pow.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 (*.f64 a x)))) 2))
(.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 (.f64 a x)))) 2) (cbrt.f64 (cbrt.f64 (expm1.f64 (*.f64 a x)))))
(.f64 (pow.f64 (expm1.f64 (.f64 a x)) 1/6) (pow.f64 (expm1.f64 (*.f64 a x)) 1/6))
(.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 (.f64 a x))))) 2) (pow.f64 (cbrt.f64 (.f64 (cbrt.f64 (expm1.f64 (.f64 a x))) (pow.f64 (expm1.f64 (*.f64 a x)) 2))) 1/3))
(.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 (.f64 a x))))) 2) (cbrt.f64 (cbrt.f64 (.f64 (cbrt.f64 (expm1.f64 (.f64 a x))) (pow.f64 (expm1.f64 (*.f64 a x)) 2)))))
(.f64 (cbrt.f64 (pow.f64 (expm1.f64 (.f64 a x)) 1/6)) (pow.f64 (pow.f64 (expm1.f64 (*.f64 a x)) 5/6) 1/3))
(.f64 (cbrt.f64 (pow.f64 (expm1.f64 (.f64 a x)) 1/6)) (cbrt.f64 (pow.f64 (expm1.f64 (*.f64 a x)) 5/6)))
(.f64 (pow.f64 (pow.f64 (expm1.f64 (.f64 a x)) 5/6) 1/3) (cbrt.f64 (pow.f64 (expm1.f64 (*.f64 a x)) 1/6)))
(.f64 (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (expm1.f64 (.f64 a x))) 8)) 1/3) (cbrt.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))))))
(.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 (.f64 a x))))) 3) (pow.f64 (sqrt.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))))) 3))
(.f64 (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 (.f64 a x)))) 4)) 3/2) (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))))) 2) 3/2))
(.f64 (pow.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 (.f64 a x)))) 2)) 3/2) (pow.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 (*.f64 a x)))) 2)) 3/2))
(.f64 (cbrt.f64 (pow.f64 (expm1.f64 (.f64 a x)) 5/6)) (cbrt.f64 (pow.f64 (expm1.f64 (*.f64 a x)) 1/6)))
(.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (expm1.f64 (.f64 a x))) 8))) (cbrt.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))))))
(/.f64 (cbrt.f64 (-.f64 (pow.f64 (pow.f64 (exp.f64 a) x) 2) 1)) (cbrt.f64 (+.f64 (pow.f64 (exp.f64 a) x) 1)))
(/.f64 (cbrt.f64 (-.f64 (pow.f64 (pow.f64 (exp.f64 a) x) 3) 1)) (cbrt.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 a) x) 2) (+.f64 1 (*.f64 (pow.f64 (exp.f64 a) x) 1)))))
(pow.f64 (expm1.f64 (*.f64 a x)) 1/3)
(pow.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))) 1)
(pow.f64 (pow.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))) 2) 1/2)
(pow.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 (*.f64 a x)))) 3)
(pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 (*.f64 a x)))) 2) 3/2)
(pow.f64 (pow.f64 (expm1.f64 (*.f64 a x)) 2) 1/6)
(pow.f64 (pow.f64 (expm1.f64 (*.f64 a x)) 3) 1/9)
(pow.f64 (pow.f64 (expm1.f64 (*.f64 a x)) 1/6) 2)
(pow.f64 (sqrt.f64 (expm1.f64 (*.f64 a x))) 2/3)
(pow.f64 (E.f64) (log.f64 (cbrt.f64 (expm1.f64 (*.f64 a x)))))
(pow.f64 (exp.f64 1/3) (log.f64 (expm1.f64 (*.f64 a x))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (cbrt.f64 (expm1.f64 (.f64 a x))))) 2)) (cbrt.f64 (log.f64 (cbrt.f64 (expm1.f64 (.f64 a x))))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (cbrt.f64 (expm1.f64 (.f64 a x)))))) (sqrt.f64 (log.f64 (cbrt.f64 (expm1.f64 (.f64 a x))))))
(sqrt.f64 (pow.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))) 2))
(log.f64 (exp.f64 (cbrt.f64 (expm1.f64 (*.f64 a x)))))
(expm1.f64 (log1p.f64 (cbrt.f64 (expm1.f64 (*.f64 a x)))))
(exp.f64 (log.f64 (cbrt.f64 (expm1.f64 (*.f64 a x)))))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 (.f64 a x))))) 3))
(exp.f64 (.f64 (.f64 1/6 (log.f64 (expm1.f64 (*.f64 a x)))) 2))
(exp.f64 (.f64 (.f64 2 (log.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 (*.f64 a x)))))) 3/2))
(log1p.f64 (expm1.f64 (cbrt.f64 (expm1.f64 (*.f64 a x)))))
(+.f64 (pow.f64 (exp.f64 a) x) -1)
(+.f64 0 (expm1.f64 (*.f64 a x)))
(+.f64 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (expm1.f64 (.f64 a x))) 2))) (log.f64 (cbrt.f64 (exp.f64 (expm1.f64 (.f64 a x))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (expm1.f64 (.f64 a x))))) (log.f64 (sqrt.f64 (exp.f64 (expm1.f64 (.f64 a x))))))
(-.f64 (pow.f64 (exp.f64 a) x) 1)
(.f64 (expm1.f64 (.f64 a x)) 1)
(.f64 (cbrt.f64 (expm1.f64 (.f64 a x))) (pow.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))) 2))
(.f64 (cbrt.f64 (expm1.f64 (.f64 a x))) (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 (*.f64 a x)))) 4) 3/2))
(.f64 1 (expm1.f64 (.f64 a x)))
(.f64 (pow.f64 (cbrt.f64 (expm1.f64 (.f64 a x))) 2) (cbrt.f64 (expm1.f64 (*.f64 a x))))
(.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 (.f64 a x)))) 2) (cbrt.f64 (.f64 (cbrt.f64 (expm1.f64 (.f64 a x))) (pow.f64 (expm1.f64 (*.f64 a x)) 2))))
(.f64 (pow.f64 (expm1.f64 (.f64 a x)) 1/6) (pow.f64 (expm1.f64 (*.f64 a x)) 5/6))
(.f64 (sqrt.f64 (expm1.f64 (.f64 a x))) (sqrt.f64 (expm1.f64 (*.f64 a x))))
(.f64 (pow.f64 (expm1.f64 (.f64 a x)) 1/4) (pow.f64 (sqrt.f64 (expm1.f64 (*.f64 a x))) 3/2))
(.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (expm1.f64 (.f64 a x))) 8)) (cbrt.f64 (cbrt.f64 (expm1.f64 (*.f64 a x)))))
(.f64 (pow.f64 (expm1.f64 (.f64 a x)) 5/6) (pow.f64 (expm1.f64 (*.f64 a x)) 1/6))
(.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 (.f64 a x)))) 4) 3/2) (cbrt.f64 (expm1.f64 (*.f64 a x))))
(.f64 (pow.f64 (sqrt.f64 (expm1.f64 (.f64 a x))) 3/2) (pow.f64 (expm1.f64 (*.f64 a x)) 1/4))
(.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 (.f64 a x)))) 5) 3/2) (pow.f64 (expm1.f64 (*.f64 a x)) 1/6))
(.f64 (pow.f64 (sqrt.f64 (pow.f64 (expm1.f64 (.f64 a x)) 3)) 1/3) (pow.f64 (sqrt.f64 (pow.f64 (expm1.f64 (*.f64 a x)) 3)) 1/3))
(.f64 (pow.f64 (pow.f64 (cbrt.f64 (expm1.f64 (.f64 a x))) 7) 1/3) (pow.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 (*.f64 a x)))) 2))
(.f64 (pow.f64 (pow.f64 (cbrt.f64 (expm1.f64 (.f64 a x))) 8) 1/3) (cbrt.f64 (cbrt.f64 (expm1.f64 (*.f64 a x)))))
(.f64 (pow.f64 (pow.f64 (expm1.f64 (.f64 a x)) 5/2) 1/3) (pow.f64 (expm1.f64 (*.f64 a x)) 1/6))
(.f64 (cbrt.f64 (sqrt.f64 (pow.f64 (expm1.f64 (.f64 a x)) 3))) (cbrt.f64 (sqrt.f64 (pow.f64 (expm1.f64 (*.f64 a x)) 3))))
(.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (expm1.f64 (.f64 a x))) 7)) (pow.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 (*.f64 a x)))) 2))
(/.f64 (-.f64 (pow.f64 (pow.f64 (exp.f64 a) x) 3) 1) (+.f64 (pow.f64 (pow.f64 (exp.f64 a) x) 2) (+.f64 1 (*.f64 (pow.f64 (exp.f64 a) x) 1))))
(/.f64 (-.f64 (pow.f64 (pow.f64 (exp.f64 a) x) 2) 1) (+.f64 (pow.f64 (exp.f64 a) x) 1))
(sqrt.f64 (pow.f64 (expm1.f64 (*.f64 a x)) 2))
(log.f64 (exp.f64 (expm1.f64 (*.f64 a x))))
(cbrt.f64 (pow.f64 (expm1.f64 (*.f64 a x)) 3))
(expm1.f64 (*.f64 a x))
(exp.f64 (log.f64 (expm1.f64 (*.f64 a x))))
(exp.f64 (.f64 (.f64 2/3 (log.f64 (expm1.f64 (*.f64 a x)))) 3/2))
(exp.f64 (.f64 (.f64 3 (log.f64 (expm1.f64 (*.f64 a x)))) 1/3))
(exp.f64 (.f64 (log.f64 (sqrt.f64 (expm1.f64 (.f64 a x)))) 2))
(log1p.f64 (expm1.f64 (expm1.f64 (*.f64 a x))))
(fma.f64 1 (pow.f64 (exp.f64 a) x) -1)
(fma.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 a) x)) 2) (cbrt.f64 (pow.f64 (exp.f64 a) x)) -1)
(fma.f64 (sqrt.f64 (pow.f64 (exp.f64 a) x)) (sqrt.f64 (pow.f64 (exp.f64 a) x)) -1)

Outputs
(pow.f64 (-.f64 (exp.f64 (*.f64 a x)) 1) 1/3)
(cbrt.f64 (expm1.f64 (*.f64 a x)))
(pow.f64 (-.f64 (exp.f64 (*.f64 a x)) 1) 1/3)
(cbrt.f64 (expm1.f64 (*.f64 a x)))
(pow.f64 (-.f64 (exp.f64 (*.f64 a x)) 1) 1/3)
(cbrt.f64 (expm1.f64 (*.f64 a x)))
(pow.f64 (-.f64 (exp.f64 (*.f64 a x)) 1) 1/3)
(cbrt.f64 (expm1.f64 (*.f64 a x)))
(pow.f64 (-.f64 (exp.f64 (*.f64 a x)) 1) 1/3)
(cbrt.f64 (expm1.f64 (*.f64 a x)))
(pow.f64 (-.f64 (exp.f64 (*.f64 a x)) 1) 1/3)
(cbrt.f64 (expm1.f64 (*.f64 a x)))
(pow.f64 (-.f64 (exp.f64 (*.f64 a x)) 1) 1/3)
(cbrt.f64 (expm1.f64 (*.f64 a x)))
(pow.f64 (-.f64 (exp.f64 (*.f64 a x)) 1) 1/3)
(cbrt.f64 (expm1.f64 (*.f64 a x)))
(pow.f64 (-.f64 (exp.f64 (*.f64 a x)) 1) 1/3)
(cbrt.f64 (expm1.f64 (*.f64 a x)))
(pow.f64 (-.f64 (exp.f64 (*.f64 a x)) 1) 1/3)
(cbrt.f64 (expm1.f64 (*.f64 a x)))
(pow.f64 (-.f64 (exp.f64 (*.f64 a x)) 1) 1/3)
(cbrt.f64 (expm1.f64 (*.f64 a x)))
(pow.f64 (-.f64 (exp.f64 (*.f64 a x)) 1) 1/3)
(cbrt.f64 (expm1.f64 (*.f64 a x)))
(pow.f64 (-.f64 (exp.f64 (*.f64 a x)) 1) 1/3)
(cbrt.f64 (expm1.f64 (*.f64 a x)))
(pow.f64 (-.f64 (exp.f64 (*.f64 a x)) 1) 1/3)
(cbrt.f64 (expm1.f64 (*.f64 a x)))
(pow.f64 (-.f64 (exp.f64 (*.f64 a x)) 1) 1/3)
(cbrt.f64 (expm1.f64 (*.f64 a x)))
(pow.f64 (-.f64 (exp.f64 (*.f64 a x)) 1) 1/3)
(cbrt.f64 (expm1.f64 (*.f64 a x)))
(.f64 (pow.f64 1 1/3) (-.f64 (exp.f64 (.f64 a x)) 1))
(expm1.f64 (*.f64 a x))
(.f64 (pow.f64 1 1/3) (-.f64 (exp.f64 (.f64 a x)) 1))
(expm1.f64 (*.f64 a x))
(.f64 (pow.f64 1 1/3) (-.f64 (exp.f64 (.f64 a x)) 1))
(expm1.f64 (*.f64 a x))
(.f64 (pow.f64 1 1/3) (-.f64 (exp.f64 (.f64 a x)) 1))
(expm1.f64 (*.f64 a x))
(.f64 (pow.f64 1 1/3) (-.f64 (exp.f64 (.f64 a x)) 1))
(expm1.f64 (*.f64 a x))
(.f64 (pow.f64 1 1/3) (-.f64 (exp.f64 (.f64 a x)) 1))
(expm1.f64 (*.f64 a x))
(.f64 (pow.f64 1 1/3) (-.f64 (exp.f64 (.f64 a x)) 1))
(expm1.f64 (*.f64 a x))
(.f64 (pow.f64 1 1/3) (-.f64 (exp.f64 (.f64 a x)) 1))
(expm1.f64 (*.f64 a x))
(.f64 (pow.f64 1 1/3) (-.f64 (exp.f64 (.f64 a x)) 1))
(expm1.f64 (*.f64 a x))
(.f64 (pow.f64 1 1/3) (-.f64 (exp.f64 (.f64 a x)) 1))
(expm1.f64 (*.f64 a x))
(.f64 (pow.f64 1 1/3) (-.f64 (exp.f64 (.f64 a x)) 1))
(expm1.f64 (*.f64 a x))
(.f64 (pow.f64 1 1/3) (-.f64 (exp.f64 (.f64 a x)) 1))
(expm1.f64 (*.f64 a x))
(.f64 (pow.f64 1 1/3) (-.f64 (exp.f64 (.f64 a x)) 1))
(expm1.f64 (*.f64 a x))
(.f64 (pow.f64 1 1/3) (-.f64 (exp.f64 (.f64 a x)) 1))
(expm1.f64 (*.f64 a x))
(.f64 (pow.f64 1 1/3) (-.f64 (exp.f64 (.f64 a x)) 1))
(expm1.f64 (*.f64 a x))
(.f64 (pow.f64 1 1/3) (-.f64 (exp.f64 (.f64 a x)) 1))
(expm1.f64 (*.f64 a x))
(+.f64 0 (cbrt.f64 (expm1.f64 (*.f64 a x))))
(cbrt.f64 (expm1.f64 (*.f64 a x)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (cbrt.f64 (expm1.f64 (.f64 a x))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (cbrt.f64 (expm1.f64 (.f64 a x)))))))
(+.f64 (.f64 2 (log.f64 (cbrt.f64 (exp.f64 (cbrt.f64 (expm1.f64 (.f64 a x))))))) (log.f64 (cbrt.f64 (exp.f64 (cbrt.f64 (expm1.f64 (*.f64 a x)))))))
(.f64 3 (log.f64 (cbrt.f64 (exp.f64 (cbrt.f64 (expm1.f64 (.f64 a x)))))))
(.f64 (log.f64 (cbrt.f64 (exp.f64 (cbrt.f64 (expm1.f64 (.f64 a x)))))) 3)
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (cbrt.f64 (expm1.f64 (.f64 a x)))))) (log.f64 (sqrt.f64 (exp.f64 (cbrt.f64 (expm1.f64 (.f64 a x)))))))
(cbrt.f64 (expm1.f64 (*.f64 a x)))
(-.f64 (+.f64 1 (cbrt.f64 (expm1.f64 (*.f64 a x)))) 1)
(cbrt.f64 (expm1.f64 (*.f64 a x)))
(.f64 (cbrt.f64 (expm1.f64 (.f64 a x))) 1)
(cbrt.f64 (expm1.f64 (*.f64 a x)))
(.f64 1 (cbrt.f64 (expm1.f64 (.f64 a x))))
(cbrt.f64 (expm1.f64 (*.f64 a x)))
(.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 (.f64 a x)))) (pow.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 (*.f64 a x)))) 2))
(cbrt.f64 (expm1.f64 (*.f64 a x)))
(.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 (.f64 a x)))) 2) (cbrt.f64 (cbrt.f64 (expm1.f64 (*.f64 a x)))))
(cbrt.f64 (expm1.f64 (*.f64 a x)))
(.f64 (pow.f64 (expm1.f64 (.f64 a x)) 1/6) (pow.f64 (expm1.f64 (*.f64 a x)) 1/6))
(cbrt.f64 (expm1.f64 (*.f64 a x)))
(.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 (.f64 a x))))) 2) (pow.f64 (cbrt.f64 (.f64 (cbrt.f64 (expm1.f64 (.f64 a x))) (pow.f64 (expm1.f64 (*.f64 a x)) 2))) 1/3))
(.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 (.f64 a x))))) 2) (cbrt.f64 (cbrt.f64 (.f64 (cbrt.f64 (expm1.f64 (.f64 a x))) (pow.f64 (expm1.f64 (*.f64 a x)) 2)))))
(.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 (.f64 a x))))) 2) (cbrt.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))) 7))))
(.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 (.f64 a x))))) 2) (cbrt.f64 (cbrt.f64 (.f64 (cbrt.f64 (expm1.f64 (.f64 a x))) (pow.f64 (expm1.f64 (*.f64 a x)) 2)))))
(.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 (.f64 a x))))) 2) (cbrt.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))) 7))))
(.f64 (cbrt.f64 (pow.f64 (expm1.f64 (.f64 a x)) 1/6)) (pow.f64 (pow.f64 (expm1.f64 (*.f64 a x)) 5/6) 1/3))
(.f64 (cbrt.f64 (pow.f64 (expm1.f64 (.f64 a x)) 1/6)) (cbrt.f64 (pow.f64 (expm1.f64 (*.f64 a x)) 5/6)))
(.f64 (cbrt.f64 (pow.f64 (expm1.f64 (.f64 a x)) 1/6)) (cbrt.f64 (pow.f64 (expm1.f64 (*.f64 a x)) 5/6)))
(.f64 (pow.f64 (pow.f64 (expm1.f64 (.f64 a x)) 5/6) 1/3) (cbrt.f64 (pow.f64 (expm1.f64 (*.f64 a x)) 1/6)))
(.f64 (cbrt.f64 (pow.f64 (expm1.f64 (.f64 a x)) 1/6)) (cbrt.f64 (pow.f64 (expm1.f64 (*.f64 a x)) 5/6)))
(.f64 (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (expm1.f64 (.f64 a x))) 8)) 1/3) (cbrt.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))))))
(.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 (.f64 a x))))) (cbrt.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))) 8))))
(.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 (.f64 a x))))) 3) (pow.f64 (sqrt.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))))) 3))
(cbrt.f64 (expm1.f64 (*.f64 a x)))
(.f64 (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 (.f64 a x)))) 4)) 3/2) (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))))) 2) 3/2))
(.f64 (pow.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 (.f64 a x)))) 2)) 3/2) (pow.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 (*.f64 a x)))) 2)) 3/2))
(cbrt.f64 (expm1.f64 (*.f64 a x)))
(.f64 (cbrt.f64 (pow.f64 (expm1.f64 (.f64 a x)) 5/6)) (cbrt.f64 (pow.f64 (expm1.f64 (*.f64 a x)) 1/6)))
(.f64 (cbrt.f64 (pow.f64 (expm1.f64 (.f64 a x)) 1/6)) (cbrt.f64 (pow.f64 (expm1.f64 (*.f64 a x)) 5/6)))
(.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (expm1.f64 (.f64 a x))) 8))) (cbrt.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))))))
(.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 (.f64 a x))))) (cbrt.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))) 8))))
(/.f64 (cbrt.f64 (-.f64 (pow.f64 (pow.f64 (exp.f64 a) x) 2) 1)) (cbrt.f64 (+.f64 (pow.f64 (exp.f64 a) x) 1)))
(/.f64 (cbrt.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 a) x) 2) -1)) (cbrt.f64 (+.f64 1 (pow.f64 (exp.f64 a) x))))
(/.f64 (cbrt.f64 (+.f64 (pow.f64 (exp.f64 a) (*.f64 2 x)) -1)) (cbrt.f64 (+.f64 1 (pow.f64 (exp.f64 a) x))))
(/.f64 (cbrt.f64 (expm1.f64 (.f64 2 (.f64 a x)))) (cbrt.f64 (+.f64 1 (pow.f64 (exp.f64 a) x))))
(/.f64 (cbrt.f64 (-.f64 (pow.f64 (pow.f64 (exp.f64 a) x) 3) 1)) (cbrt.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 a) x) 2) (+.f64 1 (*.f64 (pow.f64 (exp.f64 a) x) 1)))))
(/.f64 (cbrt.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 a) x) 3) -1)) (cbrt.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 a) x) 2) (+.f64 1 (pow.f64 (exp.f64 a) x)))))
(/.f64 (cbrt.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 a) x) 3) -1)) (cbrt.f64 (+.f64 (pow.f64 (exp.f64 a) (*.f64 2 x)) (+.f64 1 (pow.f64 (exp.f64 a) x)))))
(/.f64 (cbrt.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 a) x) 3) -1)) (cbrt.f64 (+.f64 1 (+.f64 (pow.f64 (exp.f64 a) x) (pow.f64 (exp.f64 a) (*.f64 x 2))))))
(pow.f64 (expm1.f64 (*.f64 a x)) 1/3)
(cbrt.f64 (expm1.f64 (*.f64 a x)))
(pow.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))) 1)
(cbrt.f64 (expm1.f64 (*.f64 a x)))
(pow.f64 (pow.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))) 2) 1/2)
(cbrt.f64 (expm1.f64 (*.f64 a x)))
(pow.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 (*.f64 a x)))) 3)
(cbrt.f64 (expm1.f64 (*.f64 a x)))
(pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 (*.f64 a x)))) 2) 3/2)
(cbrt.f64 (expm1.f64 (*.f64 a x)))
(pow.f64 (pow.f64 (expm1.f64 (*.f64 a x)) 2) 1/6)
(cbrt.f64 (expm1.f64 (*.f64 a x)))
(pow.f64 (pow.f64 (expm1.f64 (*.f64 a x)) 3) 1/9)
(.f64 (pow.f64 (pow.f64 (expm1.f64 (.f64 a x)) 3) 1/18) (pow.f64 (pow.f64 (expm1.f64 (*.f64 a x)) 3) 1/18))
(pow.f64 (pow.f64 (expm1.f64 (*.f64 a x)) 1/6) 2)
(cbrt.f64 (expm1.f64 (*.f64 a x)))
(pow.f64 (sqrt.f64 (expm1.f64 (*.f64 a x))) 2/3)
(.f64 (pow.f64 (sqrt.f64 (expm1.f64 (.f64 a x))) 1/3) (pow.f64 (sqrt.f64 (expm1.f64 (*.f64 a x))) 1/3))
(.f64 (cbrt.f64 (sqrt.f64 (expm1.f64 (.f64 a x)))) (cbrt.f64 (sqrt.f64 (expm1.f64 (*.f64 a x)))))
(pow.f64 (E.f64) (log.f64 (cbrt.f64 (expm1.f64 (*.f64 a x)))))
(cbrt.f64 (expm1.f64 (*.f64 a x)))
(pow.f64 (exp.f64 1/3) (log.f64 (expm1.f64 (*.f64 a x))))
(cbrt.f64 (expm1.f64 (*.f64 a x)))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (cbrt.f64 (expm1.f64 (.f64 a x))))) 2)) (cbrt.f64 (log.f64 (cbrt.f64 (expm1.f64 (.f64 a x))))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (cbrt.f64 (expm1.f64 (.f64 a x)))))) (sqrt.f64 (log.f64 (cbrt.f64 (expm1.f64 (.f64 a x))))))
(sqrt.f64 (pow.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))) 2))
(cbrt.f64 (expm1.f64 (*.f64 a x)))
(log.f64 (exp.f64 (cbrt.f64 (expm1.f64 (*.f64 a x)))))
(cbrt.f64 (expm1.f64 (*.f64 a x)))
(expm1.f64 (log1p.f64 (cbrt.f64 (expm1.f64 (*.f64 a x)))))
(cbrt.f64 (expm1.f64 (*.f64 a x)))
(exp.f64 (log.f64 (cbrt.f64 (expm1.f64 (*.f64 a x)))))
(cbrt.f64 (expm1.f64 (*.f64 a x)))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 (.f64 a x))))) 3))
(cbrt.f64 (expm1.f64 (*.f64 a x)))
(exp.f64 (.f64 (.f64 1/6 (log.f64 (expm1.f64 (*.f64 a x)))) 2))
(cbrt.f64 (expm1.f64 (*.f64 a x)))
(exp.f64 (.f64 (.f64 2 (log.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 (*.f64 a x)))))) 3/2))
(cbrt.f64 (expm1.f64 (*.f64 a x)))
(log1p.f64 (expm1.f64 (cbrt.f64 (expm1.f64 (*.f64 a x)))))
(cbrt.f64 (expm1.f64 (*.f64 a x)))
(+.f64 (pow.f64 (exp.f64 a) x) -1)
(expm1.f64 (*.f64 a x))
(+.f64 0 (expm1.f64 (*.f64 a x)))
(expm1.f64 (*.f64 a x))
(+.f64 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (expm1.f64 (.f64 a x))) 2))) (log.f64 (cbrt.f64 (exp.f64 (expm1.f64 (.f64 a x))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (expm1.f64 (.f64 a x))))) (log.f64 (sqrt.f64 (exp.f64 (expm1.f64 (.f64 a x))))))
(expm1.f64 (*.f64 a x))
(-.f64 (pow.f64 (exp.f64 a) x) 1)
(expm1.f64 (*.f64 a x))
(.f64 (expm1.f64 (.f64 a x)) 1)
(expm1.f64 (*.f64 a x))
(.f64 (cbrt.f64 (expm1.f64 (.f64 a x))) (pow.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))) 2))
(expm1.f64 (*.f64 a x))
(.f64 (cbrt.f64 (expm1.f64 (.f64 a x))) (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 (*.f64 a x)))) 4) 3/2))
(.f64 1 (expm1.f64 (.f64 a x)))
(expm1.f64 (*.f64 a x))
(.f64 (pow.f64 (cbrt.f64 (expm1.f64 (.f64 a x))) 2) (cbrt.f64 (expm1.f64 (*.f64 a x))))
(expm1.f64 (*.f64 a x))
(.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 (.f64 a x)))) 2) (cbrt.f64 (.f64 (cbrt.f64 (expm1.f64 (.f64 a x))) (pow.f64 (expm1.f64 (*.f64 a x)) 2))))
(.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 (.f64 a x)))) 2) (cbrt.f64 (pow.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))) 7)))
(.f64 (pow.f64 (expm1.f64 (.f64 a x)) 1/6) (pow.f64 (expm1.f64 (*.f64 a x)) 5/6))
(.f64 (pow.f64 (expm1.f64 (.f64 a x)) 5/6) (pow.f64 (expm1.f64 (*.f64 a x)) 1/6))
(.f64 (sqrt.f64 (expm1.f64 (.f64 a x))) (sqrt.f64 (expm1.f64 (*.f64 a x))))
(expm1.f64 (*.f64 a x))
(.f64 (pow.f64 (expm1.f64 (.f64 a x)) 1/4) (pow.f64 (sqrt.f64 (expm1.f64 (*.f64 a x))) 3/2))
(.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (expm1.f64 (.f64 a x))) 8)) (cbrt.f64 (cbrt.f64 (expm1.f64 (*.f64 a x)))))
(.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 (.f64 a x)))) (cbrt.f64 (pow.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))) 8)))
(.f64 (pow.f64 (expm1.f64 (.f64 a x)) 5/6) (pow.f64 (expm1.f64 (*.f64 a x)) 1/6))
(.f64 (pow.f64 (expm1.f64 (.f64 a x)) 1/6) (pow.f64 (expm1.f64 (*.f64 a x)) 5/6))
(.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 (.f64 a x)))) 4) 3/2) (cbrt.f64 (expm1.f64 (*.f64 a x))))
(.f64 (cbrt.f64 (expm1.f64 (.f64 a x))) (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 (*.f64 a x)))) 4) 3/2))
(.f64 (pow.f64 (sqrt.f64 (expm1.f64 (.f64 a x))) 3/2) (pow.f64 (expm1.f64 (*.f64 a x)) 1/4))
(.f64 (pow.f64 (expm1.f64 (.f64 a x)) 1/4) (pow.f64 (sqrt.f64 (expm1.f64 (*.f64 a x))) 3/2))
(.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 (.f64 a x)))) 5) 3/2) (pow.f64 (expm1.f64 (*.f64 a x)) 1/6))
(.f64 (pow.f64 (expm1.f64 (.f64 a x)) 1/6) (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 (*.f64 a x)))) 5) 3/2))
(.f64 (pow.f64 (sqrt.f64 (pow.f64 (expm1.f64 (.f64 a x)) 3)) 1/3) (pow.f64 (sqrt.f64 (pow.f64 (expm1.f64 (*.f64 a x)) 3)) 1/3))
(expm1.f64 (*.f64 a x))
(.f64 (pow.f64 (pow.f64 (cbrt.f64 (expm1.f64 (.f64 a x))) 7) 1/3) (pow.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 (*.f64 a x)))) 2))
(.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 (.f64 a x)))) 2) (cbrt.f64 (.f64 (cbrt.f64 (expm1.f64 (.f64 a x))) (pow.f64 (expm1.f64 (*.f64 a x)) 2))))
(.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 (.f64 a x)))) 2) (cbrt.f64 (pow.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))) 7)))
(.f64 (pow.f64 (pow.f64 (cbrt.f64 (expm1.f64 (.f64 a x))) 8) 1/3) (cbrt.f64 (cbrt.f64 (expm1.f64 (*.f64 a x)))))
(.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 (.f64 a x)))) (cbrt.f64 (pow.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))) 8)))
(.f64 (pow.f64 (pow.f64 (expm1.f64 (.f64 a x)) 5/2) 1/3) (pow.f64 (expm1.f64 (*.f64 a x)) 1/6))
(.f64 (pow.f64 (expm1.f64 (.f64 a x)) 1/6) (cbrt.f64 (pow.f64 (expm1.f64 (*.f64 a x)) 5/2)))
(.f64 (cbrt.f64 (pow.f64 (expm1.f64 (.f64 a x)) 5/2)) (pow.f64 (expm1.f64 (*.f64 a x)) 1/6))
(.f64 (cbrt.f64 (sqrt.f64 (pow.f64 (expm1.f64 (.f64 a x)) 3))) (cbrt.f64 (sqrt.f64 (pow.f64 (expm1.f64 (*.f64 a x)) 3))))
(expm1.f64 (*.f64 a x))
(.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (expm1.f64 (.f64 a x))) 7)) (pow.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 (*.f64 a x)))) 2))
(.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 (.f64 a x)))) 2) (cbrt.f64 (.f64 (cbrt.f64 (expm1.f64 (.f64 a x))) (pow.f64 (expm1.f64 (*.f64 a x)) 2))))
(.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 (.f64 a x)))) 2) (cbrt.f64 (pow.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))) 7)))
(/.f64 (-.f64 (pow.f64 (pow.f64 (exp.f64 a) x) 3) 1) (+.f64 (pow.f64 (pow.f64 (exp.f64 a) x) 2) (+.f64 1 (*.f64 (pow.f64 (exp.f64 a) x) 1))))
(/.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 a) x) 3) -1) (+.f64 (pow.f64 (pow.f64 (exp.f64 a) x) 2) (+.f64 1 (pow.f64 (exp.f64 a) x))))
(/.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 a) x) 3) -1) (+.f64 (pow.f64 (exp.f64 a) (*.f64 2 x)) (+.f64 1 (pow.f64 (exp.f64 a) x))))
(/.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 a) x) 3) -1) (+.f64 1 (+.f64 (pow.f64 (exp.f64 a) x) (pow.f64 (exp.f64 a) (*.f64 x 2)))))
(/.f64 (-.f64 (pow.f64 (pow.f64 (exp.f64 a) x) 2) 1) (+.f64 (pow.f64 (exp.f64 a) x) 1))
(expm1.f64 (*.f64 a x))
(sqrt.f64 (pow.f64 (expm1.f64 (*.f64 a x)) 2))
(expm1.f64 (*.f64 a x))
(log.f64 (exp.f64 (expm1.f64 (*.f64 a x))))
(expm1.f64 (*.f64 a x))
(cbrt.f64 (pow.f64 (expm1.f64 (*.f64 a x)) 3))
(expm1.f64 (*.f64 a x))
(expm1.f64 (*.f64 a x))
(exp.f64 (log.f64 (expm1.f64 (*.f64 a x))))
(expm1.f64 (*.f64 a x))
(exp.f64 (.f64 (.f64 2/3 (log.f64 (expm1.f64 (*.f64 a x)))) 3/2))
(expm1.f64 (*.f64 a x))
(exp.f64 (.f64 (.f64 3 (log.f64 (expm1.f64 (*.f64 a x)))) 1/3))
(expm1.f64 (*.f64 a x))
(exp.f64 (.f64 (log.f64 (sqrt.f64 (expm1.f64 (.f64 a x)))) 2))
(expm1.f64 (*.f64 a x))
(log1p.f64 (expm1.f64 (expm1.f64 (*.f64 a x))))
(expm1.f64 (*.f64 a x))
(fma.f64 1 (pow.f64 (exp.f64 a) x) -1)
(expm1.f64 (*.f64 a x))
(fma.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 a) x)) 2) (cbrt.f64 (pow.f64 (exp.f64 a) x)) -1)
(expm1.f64 (*.f64 a x))
(fma.f64 (sqrt.f64 (pow.f64 (exp.f64 a) x)) (sqrt.f64 (pow.f64 (exp.f64 a) x)) -1)
(expm1.f64 (*.f64 a x))

eval48.0ms (1.9%)

Compiler: Compiled 2838 to 1379 computations (51.4% saved)

prune30.0ms (1.2%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	182	0	182
Fresh	0	0	0
Picked	0	2	2
Done	0	1	1
Total	182	3	185

Accuracy

100.0%

Counts

185 → 3

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.0%	(pow.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))) 3)
✓	65.5%	(*.f64 a x)
✓	100.0%	(expm1.f64 (*.f64 a x))

Compiler

Compiled 42 to 24 computations (42.9% saved)

regimes17.0ms (0.7%)

Counts

4 → 1

Calls

Call 1

Inputs
(*.f64 a x)
(expm1.f64 (*.f64 a x))
(-.f64 (exp.f64 (*.f64 a x)) 1)
(pow.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))) 3)

Outputs
(expm1.f64 (*.f64 a x))

Calls

5 calls:

5.0ms	x
4.0ms	a
3.0ms	(*.f64 a x)
2.0ms	(-.f64 (exp.f64 (*.f64 a x)) 1)
2.0ms	(exp.f64 (*.f64 a x))

Results

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

Compiler

Compiled 47 to 27 computations (42.6% saved)

regimes8.0ms (0.3%)

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

Inputs
(*.f64 a x)

Outputs
(*.f64 a x)

Calls

3 calls:

3.0ms	x
3.0ms	a
2.0ms	(*.f64 a x)

Results

Accuracy	Segments	Branch
65.5%	1	`a`
65.5%	1	`x`
65.5%	1	`(*.f64 a x)`

Compiler

Compiled 16 to 10 computations (37.5% saved)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

2×	`*-commutative`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	30
1	11	30

Stop Event

1×	done
1×	saturated

Calls

Call 1

Inputs
(expm1.f64 (*.f64 a x))
(*.f64 a x)

Outputs
(expm1.f64 (*.f64 a x))
(*.f64 a x)

Compiler

Compiled 11 to 7 computations (36.4% saved)

soundness72.0ms (2.8%)

Rules

1042×	`associate-r`
992×	`times-frac`
972×	`fma-neg`
808×	`associate-l`
652×	`unswap-sqr`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	25	143
1	55	143
2	97	143
3	202	143
4	481	143
5	1364	143
6	4774	143

Stop Event

1×	node limit

Compiler

Compiled 12 to 7 computations (41.7% saved)

end0.0ms (0%)

preprocess34.0ms (1.3%)

Remove: (sort a x)
Compiler: Compiled 82 to 52 computations (36.6% saved)

analyze23.0ms (0.9%)

sample1.8s (70.1%)

preprocess115.0ms (4.6%)

eval0.0ms (0%)

prune1.0ms (0%)

localize20.0ms (0.8%)

series2.0ms (0.1%)

rewrite100.0ms (4%)

simplify64.0ms (2.5%)

eval17.0ms (0.7%)

prune10.0ms (0.4%)

localize39.0ms (1.5%)

series18.0ms (0.7%)

rewrite64.0ms (2.5%)

simplify72.0ms (2.9%)

eval48.0ms (1.9%)

prune30.0ms (1.2%)

regimes17.0ms (0.7%)

regimes8.0ms (0.3%)

simplify2.0ms (0.1%)

soundness72.0ms (2.8%)

end0.0ms (0%)

preprocess34.0ms (1.3%)

Profiling