Metrics for expax (section 3.5)

analyze22.0ms (0.7%)

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)

sample2.1s (60.6%)

Results

640.0ms	3966×	body	256	valid
613.0ms	1332×	body	2048	valid
515.0ms	1813×	body	1024	valid
258.0ms	1145×	body	512	valid
21.0ms	289×	body	256	precondition

Bogosity

preprocess177.0ms (5.2%)

Algorithm

1×	egg-herbie

Rules

1040×	`associate-r`
988×	`times-frac`
972×	`fma-neg`
802×	`associate-l`
652×	`unswap-sqr`

Problems

132×	`(-.f64 (exp.f64 (*.f64 a x)) 1)`
123×	No Errors
1×	`(exp.f64 (*.f64 a x))`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	25	143
1	58	143
2	100	143
3	205	143
4	484	143
5	1364	143
6	4765	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)

localize24.0ms (0.7%)

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)

series3.0ms (0.1%)

Counts

1 → 24

Calls

6 calls:

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

rewrite173.0ms (5.1%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	17
1	82	17
2	890	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 x) (.f64 a 3)) (+.f64 (pow.f64 (pow.f64 (exp.f64 a) 2) x) (+.f64 1 (.f64 (pow.f64 (exp.f64 a) x) 1)))) (/.f64 1 (+.f64 (pow.f64 (pow.f64 (exp.f64 a) 2) x) (+.f64 1 (*.f64 (pow.f64 (exp.f64 a) x) 1)))))
(-.f64 (/.f64 (pow.f64 (pow.f64 (exp.f64 a) 2) x) (+.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 x) (.f64 a 3)) 1) (+.f64 (pow.f64 (pow.f64 (exp.f64 a) 2) x) (+.f64 1 (.f64 (pow.f64 (exp.f64 a) x) 1))))
(/.f64 (-.f64 (pow.f64 (pow.f64 (exp.f64 a) 2) x) 1) (+.f64 (pow.f64 (exp.f64 a) x) 1))
(/.f64 (neg.f64 (-.f64 (pow.f64 (exp.f64 x) (.f64 a 3)) 1)) (neg.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 a) 2) x) (+.f64 1 (.f64 (pow.f64 (exp.f64 a) x) 1)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (pow.f64 (exp.f64 a) 2) x) 1)) (neg.f64 (+.f64 (pow.f64 (exp.f64 a) x) 1)))
(/.f64 (+.f64 (pow.f64 (exp.f64 x) (.f64 a 3)) -1) (+.f64 (pow.f64 (pow.f64 (exp.f64 a) 2) x) (-.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) 2) x)) (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)

simplify70.0ms (2.1%)

Algorithm

1×	egg-herbie

Rules

758×	`fma-def`
616×	`associate-+l+`
598×	`associate-/l*`
506×	`*-commutative`
504×	`unswap-sqr`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	159	2457
1	350	2391
2	1054	2355
3	3864	2355

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 x) (.f64 a 3)) (+.f64 (pow.f64 (pow.f64 (exp.f64 a) 2) x) (+.f64 1 (.f64 (pow.f64 (exp.f64 a) x) 1)))) (/.f64 1 (+.f64 (pow.f64 (pow.f64 (exp.f64 a) 2) x) (+.f64 1 (*.f64 (pow.f64 (exp.f64 a) x) 1)))))
(-.f64 (/.f64 (pow.f64 (pow.f64 (exp.f64 a) 2) x) (+.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 x) (.f64 a 3)) 1) (+.f64 (pow.f64 (pow.f64 (exp.f64 a) 2) x) (+.f64 1 (.f64 (pow.f64 (exp.f64 a) x) 1))))
(/.f64 (-.f64 (pow.f64 (pow.f64 (exp.f64 a) 2) x) 1) (+.f64 (pow.f64 (exp.f64 a) x) 1))
(/.f64 (neg.f64 (-.f64 (pow.f64 (exp.f64 x) (.f64 a 3)) 1)) (neg.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 a) 2) x) (+.f64 1 (.f64 (pow.f64 (exp.f64 a) x) 1)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (pow.f64 (exp.f64 a) 2) x) 1)) (neg.f64 (+.f64 (pow.f64 (exp.f64 a) x) 1)))
(/.f64 (+.f64 (pow.f64 (exp.f64 x) (.f64 a 3)) -1) (+.f64 (pow.f64 (pow.f64 (exp.f64 a) 2) x) (-.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) 2) x)) (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 (.f64 x (*.f64 1/2 (pow.f64 a 2))) a))
(.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 1/24 (.f64 (pow.f64 a 4) (pow.f64 x 4)) (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 (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 (.f64 x (*.f64 1/2 (pow.f64 a 2))) a))
(.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 1/24 (.f64 (pow.f64 a 4) (pow.f64 x 4)) (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 (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 x) (.f64 a 3)) (+.f64 (pow.f64 (pow.f64 (exp.f64 a) 2) x) (+.f64 1 (.f64 (pow.f64 (exp.f64 a) x) 1)))) (/.f64 1 (+.f64 (pow.f64 (pow.f64 (exp.f64 a) 2) x) (+.f64 1 (*.f64 (pow.f64 (exp.f64 a) x) 1)))))
(/.f64 (+.f64 -1 (pow.f64 (exp.f64 x) (*.f64 a 3))) (+.f64 (pow.f64 (pow.f64 (exp.f64 a) 2) x) (+.f64 1 (pow.f64 (exp.f64 a) x))))
(/.f64 (+.f64 -1 (pow.f64 (exp.f64 x) (*.f64 a 3))) (+.f64 1 (+.f64 (pow.f64 (exp.f64 a) x) (pow.f64 (pow.f64 (exp.f64 a) 2) x))))
(/.f64 (-.f64 1 (pow.f64 (exp.f64 x) (*.f64 a 3))) (-.f64 -1 (+.f64 (pow.f64 (exp.f64 a) x) (pow.f64 (pow.f64 (exp.f64 a) 2) x))))
(-.f64 (/.f64 (pow.f64 (pow.f64 (exp.f64 a) 2) x) (+.f64 (pow.f64 (exp.f64 a) x) 1)) (/.f64 1 (+.f64 (pow.f64 (exp.f64 a) x) 1)))
(/.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 a) 2) x) -1) (+.f64 1 (pow.f64 (exp.f64 a) x)))
(/.f64 (+.f64 -1 (pow.f64 (pow.f64 (exp.f64 a) 2) x)) (+.f64 1 (pow.f64 (exp.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 x) (.f64 a 3)) 1) (+.f64 (pow.f64 (pow.f64 (exp.f64 a) 2) x) (+.f64 1 (.f64 (pow.f64 (exp.f64 a) x) 1))))
(/.f64 (+.f64 -1 (pow.f64 (exp.f64 x) (*.f64 a 3))) (+.f64 (pow.f64 (pow.f64 (exp.f64 a) 2) x) (+.f64 1 (pow.f64 (exp.f64 a) x))))
(/.f64 (+.f64 -1 (pow.f64 (exp.f64 x) (*.f64 a 3))) (+.f64 1 (+.f64 (pow.f64 (exp.f64 a) x) (pow.f64 (pow.f64 (exp.f64 a) 2) x))))
(/.f64 (-.f64 1 (pow.f64 (exp.f64 x) (*.f64 a 3))) (-.f64 -1 (+.f64 (pow.f64 (exp.f64 a) x) (pow.f64 (pow.f64 (exp.f64 a) 2) x))))
(/.f64 (-.f64 (pow.f64 (pow.f64 (exp.f64 a) 2) x) 1) (+.f64 (pow.f64 (exp.f64 a) x) 1))
(/.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 a) 2) x) -1) (+.f64 1 (pow.f64 (exp.f64 a) x)))
(/.f64 (+.f64 -1 (pow.f64 (pow.f64 (exp.f64 a) 2) x)) (+.f64 1 (pow.f64 (exp.f64 a) x)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (exp.f64 x) (.f64 a 3)) 1)) (neg.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 a) 2) x) (+.f64 1 (.f64 (pow.f64 (exp.f64 a) x) 1)))))
(/.f64 (+.f64 -1 (pow.f64 (exp.f64 x) (*.f64 a 3))) (+.f64 (pow.f64 (pow.f64 (exp.f64 a) 2) x) (+.f64 1 (pow.f64 (exp.f64 a) x))))
(/.f64 (+.f64 -1 (pow.f64 (exp.f64 x) (*.f64 a 3))) (+.f64 1 (+.f64 (pow.f64 (exp.f64 a) x) (pow.f64 (pow.f64 (exp.f64 a) 2) x))))
(/.f64 (-.f64 1 (pow.f64 (exp.f64 x) (*.f64 a 3))) (-.f64 -1 (+.f64 (pow.f64 (exp.f64 a) x) (pow.f64 (pow.f64 (exp.f64 a) 2) x))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (pow.f64 (exp.f64 a) 2) x) 1)) (neg.f64 (+.f64 (pow.f64 (exp.f64 a) x) 1)))
(/.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 a) 2) x) -1) (+.f64 1 (pow.f64 (exp.f64 a) x)))
(/.f64 (+.f64 -1 (pow.f64 (pow.f64 (exp.f64 a) 2) x)) (+.f64 1 (pow.f64 (exp.f64 a) x)))
(/.f64 (+.f64 (pow.f64 (exp.f64 x) (.f64 a 3)) -1) (+.f64 (pow.f64 (pow.f64 (exp.f64 a) 2) x) (-.f64 1 (.f64 (pow.f64 (exp.f64 a) x) -1))))
(/.f64 (+.f64 -1 (pow.f64 (exp.f64 x) (*.f64 a 3))) (+.f64 (pow.f64 (pow.f64 (exp.f64 a) 2) x) (+.f64 1 (pow.f64 (exp.f64 a) x))))
(/.f64 (+.f64 -1 (pow.f64 (exp.f64 x) (*.f64 a 3))) (+.f64 1 (+.f64 (pow.f64 (exp.f64 a) x) (pow.f64 (pow.f64 (exp.f64 a) 2) x))))
(/.f64 (-.f64 1 (pow.f64 (exp.f64 x) (*.f64 a 3))) (-.f64 -1 (+.f64 (pow.f64 (exp.f64 a) x) (pow.f64 (pow.f64 (exp.f64 a) 2) x))))
(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) 2) x)) (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))

eval19.0ms (0.6%)

Compiler: Compiled 1050 to 514 computations (51% saved)

prune12.0ms (0.3%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	72	3	75
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	72	4	76

Accuracy

100.0%

Counts

76 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	68.5%	(*.f64 a x)
▶	100.0%	(log1p.f64 (expm1.f64 (expm1.f64 (*.f64 a x))))
✓	100.0%	(expm1.f64 (*.f64 a x))
▶	75.1%	(cbrt.f64 (pow.f64 (expm1.f64 (*.f64 a x)) 3))
▶	68.5%	(*.f64 a x)
▶	100.0%	(log1p.f64 (expm1.f64 (expm1.f64 (*.f64 a x))))
✓	100.0%	(expm1.f64 (*.f64 a x))
▶	75.1%	(cbrt.f64 (pow.f64 (expm1.f64 (*.f64 a x)) 3))

Compiler

Compiled 56 to 40 computations (28.6% saved)

localize63.0ms (1.9%)

Localize:

Found 6 expressions with local error:

New	Accuracy	Program
	100.0%	(expm1.f64 (*.f64 a x))
✓	100.0%	(expm1.f64 (expm1.f64 (*.f64 a x)))
✓	100.0%	(log1p.f64 (expm1.f64 (expm1.f64 (*.f64 a x))))
	100.0%	(expm1.f64 (*.f64 a x))
✓	99.7%	(pow.f64 (expm1.f64 (*.f64 a x)) 3)
✓	75.0%	(cbrt.f64 (pow.f64 (expm1.f64 (*.f64 a x)) 3))

Compiler

Compiled 51 to 13 computations (74.5% saved)

series10.0ms (0.3%)

Counts

4 → 96

Calls

24 calls:

Time	Variable		Point	Expression
2.0ms	a	@	0	(expm1.f64 (expm1.f64 (*.f64 a x)))
1.0ms	a	@	0	(pow.f64 (expm1.f64 (*.f64 a x)) 3)
1.0ms	x	@	0	(pow.f64 (expm1.f64 (*.f64 a x)) 3)
1.0ms	x	@	inf	(pow.f64 (expm1.f64 (*.f64 a x)) 3)
1.0ms	a	@	-inf	(pow.f64 (expm1.f64 (*.f64 a x)) 3)

rewrite190.0ms (5.6%)

Algorithm

1×	batch-egg-rewrite

Rules

798×	`unpow-prod-down`
560×	`log-prod`
466×	`log1p-expm1-u`
464×	`expm1-log1p-u`
434×	`add-exp-log`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	78
1	147	78
2	1366	78

Stop Event

1×	node limit

Counts

4 → 159

Calls

Call 1

Inputs
(cbrt.f64 (pow.f64 (expm1.f64 (*.f64 a x)) 3))
(pow.f64 (expm1.f64 (*.f64 a x)) 3)
(log1p.f64 (expm1.f64 (expm1.f64 (*.f64 a x))))
(expm1.f64 (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 (log1p.f64 (pow.f64 (expm1.f64 (expm1.f64 (.f64 a x))) 3)) (log.f64 (+.f64 1 (-.f64 (pow.f64 (expm1.f64 (expm1.f64 (.f64 a x))) 2) (expm1.f64 (expm1.f64 (*.f64 a x)))))))
(-.f64 (log.f64 (-.f64 1 (pow.f64 (expm1.f64 (expm1.f64 (.f64 a x))) 2))) (log.f64 (-.f64 1 (expm1.f64 (expm1.f64 (.f64 a x))))))
(.f64 (expm1.f64 (.f64 a x)) 1)
(.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 (cbrt.f64 (pow.f64 (cbrt.f64 (expm1.f64 (.f64 a x))) 2)) (pow.f64 (.f64 (cbrt.f64 (expm1.f64 (.f64 a x))) (pow.f64 (expm1.f64 (*.f64 a x)) 2)) 1/3))
(.f64 (cbrt.f64 (sqrt.f64 (expm1.f64 (.f64 a x)))) (pow.f64 (pow.f64 (expm1.f64 (*.f64 a x)) 5/2) 1/3))
(.f64 (pow.f64 (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (expm1.f64 (.f64 a x))) 2)) 2) 3/2) (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))) 2)) 3/2))
(.f64 (pow.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (expm1.f64 (.f64 a x))) 2)) 3/2) (pow.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))) 2)) 3/2))
(.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (expm1.f64 (.f64 a x)))) 3) (pow.f64 (sqrt.f64 (cbrt.f64 (expm1.f64 (*.f64 a x)))) 3))
(.f64 (pow.f64 (pow.f64 (expm1.f64 (.f64 a x)) 5/2) 1/3) (cbrt.f64 (sqrt.f64 (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 (cbrt.f64 (cbrt.f64 (expm1.f64 (.f64 a x)))) 2) 3) (cbrt.f64 (expm1.f64 (*.f64 a x))))
(/.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))
(pow.f64 (expm1.f64 (*.f64 a x)) 1)
(pow.f64 (pow.f64 (expm1.f64 (*.f64 a x)) 3) 1/3)
(pow.f64 (pow.f64 (expm1.f64 (*.f64 a x)) 2) 1/2)
(pow.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))) 3)
(pow.f64 (pow.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))) 2) 3/2)
(pow.f64 (pow.f64 (expm1.f64 (*.f64 a x)) 6) 1/6)
(pow.f64 (pow.f64 (expm1.f64 (*.f64 a x)) 9) 1/9)
(pow.f64 (sqrt.f64 (expm1.f64 (*.f64 a x))) 2)
(pow.f64 (pow.f64 (expm1.f64 (*.f64 a x)) 3/2) 2/3)
(pow.f64 (E.f64) (log.f64 (expm1.f64 (*.f64 a x))))
(pow.f64 (exp.f64 1/3) (log.f64 (pow.f64 (expm1.f64 (*.f64 a x)) 3)))
(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))
(log.f64 (exp.f64 (expm1.f64 (*.f64 a x))))
(expm1.f64 (*.f64 a x))
(exp.f64 (log.f64 (expm1.f64 (*.f64 a x))))
(exp.f64 (.f64 (.f64 2 (log.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))))) 3/2))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (expm1.f64 (.f64 a x)))) 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)
(+.f64 0 (pow.f64 (expm1.f64 (*.f64 a x)) 3))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (pow.f64 (expm1.f64 (.f64 a x)) 3))) 2)) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 (expm1.f64 (.f64 a x)) 3)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (expm1.f64 (.f64 a x)) 3)))) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (expm1.f64 (.f64 a x)) 3)))))
(-.f64 (+.f64 1 (pow.f64 (expm1.f64 (*.f64 a x)) 3)) 1)
(.f64 (expm1.f64 (.f64 a x)) (pow.f64 (expm1.f64 (*.f64 a x)) 2))
(.f64 (expm1.f64 (.f64 a x)) (pow.f64 (pow.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))) 4) 3/2))
(.f64 (pow.f64 (expm1.f64 (.f64 a x)) 3) 1)
(.f64 1 (pow.f64 (expm1.f64 (.f64 a x)) 3))
(.f64 (pow.f64 (expm1.f64 (.f64 a x)) 2) (expm1.f64 (*.f64 a x)))
(.f64 (pow.f64 (cbrt.f64 (expm1.f64 (.f64 a x))) 2) (.f64 (cbrt.f64 (expm1.f64 (.f64 a x))) (pow.f64 (expm1.f64 (*.f64 a x)) 2)))
(.f64 (sqrt.f64 (expm1.f64 (.f64 a x))) (pow.f64 (expm1.f64 (*.f64 a x)) 5/2))
(.f64 (pow.f64 (expm1.f64 (.f64 a x)) 3/2) (pow.f64 (expm1.f64 (*.f64 a x)) 3/2))
(.f64 (pow.f64 (expm1.f64 (.f64 a x)) 3/4) (pow.f64 (pow.f64 (expm1.f64 (*.f64 a x)) 3/2) 3/2))
(.f64 (pow.f64 (.f64 (expm1.f64 (.f64 a x)) (cbrt.f64 (expm1.f64 (.f64 a x)))) 2) (cbrt.f64 (expm1.f64 (*.f64 a x))))
(.f64 (pow.f64 (expm1.f64 (.f64 a x)) 5/2) (sqrt.f64 (expm1.f64 (*.f64 a x))))
(.f64 (pow.f64 (pow.f64 (cbrt.f64 (expm1.f64 (.f64 a x))) 4) 3/2) (expm1.f64 (*.f64 a x)))
(.f64 (pow.f64 (pow.f64 (expm1.f64 (.f64 a x)) 3/2) 3/2) (pow.f64 (expm1.f64 (*.f64 a x)) 3/4))
(.f64 (pow.f64 (pow.f64 (cbrt.f64 (expm1.f64 (.f64 a x))) 5) 3/2) (sqrt.f64 (expm1.f64 (*.f64 a x))))
(.f64 (pow.f64 (sqrt.f64 (pow.f64 (expm1.f64 (.f64 a x)) 9)) 1/3) (pow.f64 (sqrt.f64 (pow.f64 (expm1.f64 (*.f64 a x)) 9)) 1/3))
(.f64 (pow.f64 (pow.f64 (expm1.f64 (.f64 a x)) 7) 1/3) (pow.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))) 2))
(.f64 (pow.f64 (pow.f64 (expm1.f64 (.f64 a x)) 8) 1/3) (cbrt.f64 (expm1.f64 (*.f64 a x))))
(.f64 (pow.f64 (pow.f64 (expm1.f64 (.f64 a x)) 15/2) 1/3) (sqrt.f64 (expm1.f64 (*.f64 a x))))
(sqrt.f64 (pow.f64 (expm1.f64 (*.f64 a x)) 6))
(log.f64 (exp.f64 (pow.f64 (expm1.f64 (*.f64 a x)) 3)))
(cbrt.f64 (pow.f64 (expm1.f64 (*.f64 a x)) 9))
(expm1.f64 (log1p.f64 (pow.f64 (expm1.f64 (*.f64 a x)) 3)))
(exp.f64 (log.f64 (pow.f64 (expm1.f64 (*.f64 a x)) 3)))
(exp.f64 (.f64 (log.f64 (pow.f64 (expm1.f64 (.f64 a x)) 2)) 3/2))
(exp.f64 (.f64 (log.f64 (pow.f64 (expm1.f64 (.f64 a x)) 9)) 1/3))
(exp.f64 (.f64 (.f64 (log.f64 (expm1.f64 (*.f64 a x))) 3/2) 2))
(log1p.f64 (expm1.f64 (pow.f64 (expm1.f64 (*.f64 a x)) 3)))
(+.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 (log1p.f64 (pow.f64 (expm1.f64 (expm1.f64 (.f64 a x))) 3)) (log.f64 (+.f64 1 (-.f64 (pow.f64 (expm1.f64 (expm1.f64 (.f64 a x))) 2) (expm1.f64 (expm1.f64 (*.f64 a x)))))))
(-.f64 (log.f64 (-.f64 1 (pow.f64 (expm1.f64 (expm1.f64 (.f64 a x))) 2))) (log.f64 (-.f64 1 (expm1.f64 (expm1.f64 (.f64 a x))))))
(.f64 (expm1.f64 (.f64 a x)) 1)
(.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 (cbrt.f64 (pow.f64 (cbrt.f64 (expm1.f64 (.f64 a x))) 2)) (pow.f64 (.f64 (cbrt.f64 (expm1.f64 (.f64 a x))) (pow.f64 (expm1.f64 (*.f64 a x)) 2)) 1/3))
(.f64 (cbrt.f64 (sqrt.f64 (expm1.f64 (.f64 a x)))) (pow.f64 (pow.f64 (expm1.f64 (*.f64 a x)) 5/2) 1/3))
(.f64 (pow.f64 (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (expm1.f64 (.f64 a x))) 2)) 2) 3/2) (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))) 2)) 3/2))
(.f64 (pow.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (expm1.f64 (.f64 a x))) 2)) 3/2) (pow.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))) 2)) 3/2))
(.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (expm1.f64 (.f64 a x)))) 3) (pow.f64 (sqrt.f64 (cbrt.f64 (expm1.f64 (*.f64 a x)))) 3))
(.f64 (pow.f64 (pow.f64 (expm1.f64 (.f64 a x)) 5/2) 1/3) (cbrt.f64 (sqrt.f64 (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 (cbrt.f64 (cbrt.f64 (expm1.f64 (.f64 a x)))) 2) 3) (cbrt.f64 (expm1.f64 (*.f64 a x))))
(/.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))
(pow.f64 (expm1.f64 (*.f64 a x)) 1)
(pow.f64 (pow.f64 (expm1.f64 (*.f64 a x)) 3) 1/3)
(pow.f64 (pow.f64 (expm1.f64 (*.f64 a x)) 2) 1/2)
(pow.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))) 3)
(pow.f64 (pow.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))) 2) 3/2)
(pow.f64 (pow.f64 (expm1.f64 (*.f64 a x)) 6) 1/6)
(pow.f64 (pow.f64 (expm1.f64 (*.f64 a x)) 9) 1/9)
(pow.f64 (sqrt.f64 (expm1.f64 (*.f64 a x))) 2)
(pow.f64 (pow.f64 (expm1.f64 (*.f64 a x)) 3/2) 2/3)
(pow.f64 (E.f64) (log.f64 (expm1.f64 (*.f64 a x))))
(pow.f64 (exp.f64 1/3) (log.f64 (pow.f64 (expm1.f64 (*.f64 a x)) 3)))
(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))
(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 (log.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))))) 3/2))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (expm1.f64 (.f64 a x)))) 3))
(exp.f64 (.f64 (log.f64 (sqrt.f64 (expm1.f64 (.f64 a x)))) 2))
(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)
(+.f64 (exp.f64 (expm1.f64 (*.f64 a x))) -1)
(+.f64 0 (expm1.f64 (expm1.f64 (*.f64 a x))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (expm1.f64 (expm1.f64 (.f64 a x))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (expm1.f64 (expm1.f64 (.f64 a x)))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (expm1.f64 (expm1.f64 (.f64 a x)))))) (log.f64 (sqrt.f64 (exp.f64 (expm1.f64 (expm1.f64 (.f64 a x)))))))
(-.f64 (exp.f64 (expm1.f64 (*.f64 a x))) 1)
(.f64 (expm1.f64 (expm1.f64 (.f64 a x))) 1)
(.f64 1 (expm1.f64 (expm1.f64 (.f64 a x))))
(.f64 (cbrt.f64 (expm1.f64 (expm1.f64 (.f64 a x)))) (pow.f64 (cbrt.f64 (expm1.f64 (expm1.f64 (*.f64 a x)))) 2))
(.f64 (pow.f64 (cbrt.f64 (expm1.f64 (expm1.f64 (.f64 a x)))) 2) (cbrt.f64 (expm1.f64 (expm1.f64 (*.f64 a x)))))
(.f64 (sqrt.f64 (expm1.f64 (expm1.f64 (.f64 a x)))) (sqrt.f64 (expm1.f64 (expm1.f64 (*.f64 a x)))))
(.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 (expm1.f64 (.f64 a x))))) 2) 3) (cbrt.f64 (expm1.f64 (expm1.f64 (*.f64 a x)))))
(.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (expm1.f64 (expm1.f64 (.f64 a x))))) 3) (pow.f64 (sqrt.f64 (cbrt.f64 (expm1.f64 (expm1.f64 (*.f64 a x))))) 3))
(.f64 (pow.f64 (sqrt.f64 (pow.f64 (expm1.f64 (expm1.f64 (.f64 a x))) 3)) 1/3) (pow.f64 (sqrt.f64 (pow.f64 (expm1.f64 (expm1.f64 (*.f64 a x))) 3)) 1/3))
(.f64 (pow.f64 (pow.f64 (.f64 (expm1.f64 (expm1.f64 (.f64 a x))) (cbrt.f64 (expm1.f64 (expm1.f64 (.f64 a x))))) 2) 1/3) (cbrt.f64 (cbrt.f64 (expm1.f64 (expm1.f64 (*.f64 a x))))))
(.f64 (pow.f64 (pow.f64 (expm1.f64 (expm1.f64 (.f64 a x))) 5/2) 1/3) (cbrt.f64 (sqrt.f64 (expm1.f64 (expm1.f64 (*.f64 a x))))))
(/.f64 (-.f64 (pow.f64 (exp.f64 (expm1.f64 (.f64 a x))) 3) 1) (+.f64 (pow.f64 (exp.f64 (expm1.f64 (.f64 a x))) 2) (+.f64 1 (.f64 (exp.f64 (expm1.f64 (.f64 a x))) 1))))
(/.f64 (-.f64 (pow.f64 (exp.f64 (expm1.f64 (.f64 a x))) 2) 1) (+.f64 (exp.f64 (expm1.f64 (.f64 a x))) 1))
(pow.f64 (expm1.f64 (expm1.f64 (*.f64 a x))) 1)
(pow.f64 (cbrt.f64 (expm1.f64 (expm1.f64 (*.f64 a x)))) 3)
(pow.f64 (pow.f64 (expm1.f64 (expm1.f64 (*.f64 a x))) 2) 1/2)
(pow.f64 (pow.f64 (expm1.f64 (expm1.f64 (*.f64 a x))) 3) 1/3)
(pow.f64 (sqrt.f64 (expm1.f64 (expm1.f64 (*.f64 a x)))) 2)
(pow.f64 (E.f64) (log.f64 (expm1.f64 (expm1.f64 (*.f64 a x)))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (expm1.f64 (expm1.f64 (.f64 a x))))) 2)) (cbrt.f64 (log.f64 (expm1.f64 (expm1.f64 (.f64 a x))))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (expm1.f64 (expm1.f64 (.f64 a x)))))) (sqrt.f64 (log.f64 (expm1.f64 (expm1.f64 (.f64 a x))))))
(sqrt.f64 (pow.f64 (expm1.f64 (expm1.f64 (*.f64 a x))) 2))
(log.f64 (exp.f64 (expm1.f64 (expm1.f64 (*.f64 a x)))))
(cbrt.f64 (pow.f64 (expm1.f64 (expm1.f64 (*.f64 a x))) 3))
(exp.f64 (log.f64 (expm1.f64 (expm1.f64 (*.f64 a x)))))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (expm1.f64 (expm1.f64 (.f64 a x))))) 3))
(exp.f64 (.f64 (log.f64 (pow.f64 (expm1.f64 (expm1.f64 (.f64 a x))) 3)) 1/3))
(exp.f64 (.f64 (log.f64 (sqrt.f64 (expm1.f64 (expm1.f64 (.f64 a x))))) 2))
(log1p.f64 (expm1.f64 (expm1.f64 (expm1.f64 (*.f64 a x)))))
(fma.f64 1 (exp.f64 (expm1.f64 (*.f64 a x))) -1)
(fma.f64 (pow.f64 (cbrt.f64 (exp.f64 (expm1.f64 (.f64 a x)))) 2) (cbrt.f64 (exp.f64 (expm1.f64 (.f64 a x)))) -1)
(fma.f64 (sqrt.f64 (exp.f64 (expm1.f64 (.f64 a x)))) (sqrt.f64 (exp.f64 (expm1.f64 (.f64 a x)))) -1)

simplify196.0ms (5.8%)

Algorithm

1×	egg-herbie

Rules

1368×	`distribute-lft-in`
1306×	`distribute-rgt-in`
604×	`sqr-pow`
574×	`associate-r`
562×	`fma-def`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	410	8589943499
1	1109	8747
2	3955	8651

Stop Event

1×	node limit

Counts

255 → 205

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 a 3) (pow.f64 x 3))
(+.f64 (.f64 (pow.f64 a 3) (pow.f64 x 3)) (.f64 (pow.f64 a 4) (+.f64 (*.f64 1/2 (pow.f64 x 4)) (pow.f64 x 4))))
(+.f64 (.f64 (pow.f64 a 3) (pow.f64 x 3)) (+.f64 (.f64 (pow.f64 a 4) (+.f64 (.f64 1/2 (pow.f64 x 4)) (pow.f64 x 4))) (.f64 (pow.f64 a 5) (+.f64 (.f64 1/6 (pow.f64 x 5)) (+.f64 (.f64 1/2 (pow.f64 x 5)) (.f64 x (+.f64 (.f64 1/4 (pow.f64 x 4)) (*.f64 1/3 (pow.f64 x 4)))))))))
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(.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 (cbrt.f64 (cbrt.f64 (expm1.f64 (.f64 a x)))) 2) 3) (cbrt.f64 (expm1.f64 (*.f64 a x))))
(/.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))
(pow.f64 (expm1.f64 (*.f64 a x)) 1)
(pow.f64 (pow.f64 (expm1.f64 (*.f64 a x)) 3) 1/3)
(pow.f64 (pow.f64 (expm1.f64 (*.f64 a x)) 2) 1/2)
(pow.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))) 3)
(pow.f64 (pow.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))) 2) 3/2)
(pow.f64 (pow.f64 (expm1.f64 (*.f64 a x)) 6) 1/6)
(pow.f64 (pow.f64 (expm1.f64 (*.f64 a x)) 9) 1/9)
(pow.f64 (sqrt.f64 (expm1.f64 (*.f64 a x))) 2)
(pow.f64 (pow.f64 (expm1.f64 (*.f64 a x)) 3/2) 2/3)
(pow.f64 (E.f64) (log.f64 (expm1.f64 (*.f64 a x))))
(pow.f64 (exp.f64 1/3) (log.f64 (pow.f64 (expm1.f64 (*.f64 a x)) 3)))
(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))
(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 (log.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))))) 3/2))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (expm1.f64 (.f64 a x)))) 3))
(exp.f64 (.f64 (log.f64 (sqrt.f64 (expm1.f64 (.f64 a x)))) 2))
(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)
(+.f64 (exp.f64 (expm1.f64 (*.f64 a x))) -1)
(+.f64 0 (expm1.f64 (expm1.f64 (*.f64 a x))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (expm1.f64 (expm1.f64 (.f64 a x))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (expm1.f64 (expm1.f64 (.f64 a x)))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (expm1.f64 (expm1.f64 (.f64 a x)))))) (log.f64 (sqrt.f64 (exp.f64 (expm1.f64 (expm1.f64 (.f64 a x)))))))
(-.f64 (exp.f64 (expm1.f64 (*.f64 a x))) 1)
(.f64 (expm1.f64 (expm1.f64 (.f64 a x))) 1)
(.f64 1 (expm1.f64 (expm1.f64 (.f64 a x))))
(.f64 (cbrt.f64 (expm1.f64 (expm1.f64 (.f64 a x)))) (pow.f64 (cbrt.f64 (expm1.f64 (expm1.f64 (*.f64 a x)))) 2))
(.f64 (pow.f64 (cbrt.f64 (expm1.f64 (expm1.f64 (.f64 a x)))) 2) (cbrt.f64 (expm1.f64 (expm1.f64 (*.f64 a x)))))
(.f64 (sqrt.f64 (expm1.f64 (expm1.f64 (.f64 a x)))) (sqrt.f64 (expm1.f64 (expm1.f64 (*.f64 a x)))))
(.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 (expm1.f64 (.f64 a x))))) 2) 3) (cbrt.f64 (expm1.f64 (expm1.f64 (*.f64 a x)))))
(.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (expm1.f64 (expm1.f64 (.f64 a x))))) 3) (pow.f64 (sqrt.f64 (cbrt.f64 (expm1.f64 (expm1.f64 (*.f64 a x))))) 3))
(.f64 (pow.f64 (sqrt.f64 (pow.f64 (expm1.f64 (expm1.f64 (.f64 a x))) 3)) 1/3) (pow.f64 (sqrt.f64 (pow.f64 (expm1.f64 (expm1.f64 (*.f64 a x))) 3)) 1/3))
(.f64 (pow.f64 (pow.f64 (.f64 (expm1.f64 (expm1.f64 (.f64 a x))) (cbrt.f64 (expm1.f64 (expm1.f64 (.f64 a x))))) 2) 1/3) (cbrt.f64 (cbrt.f64 (expm1.f64 (expm1.f64 (*.f64 a x))))))
(.f64 (pow.f64 (pow.f64 (expm1.f64 (expm1.f64 (.f64 a x))) 5/2) 1/3) (cbrt.f64 (sqrt.f64 (expm1.f64 (expm1.f64 (*.f64 a x))))))
(/.f64 (-.f64 (pow.f64 (exp.f64 (expm1.f64 (.f64 a x))) 3) 1) (+.f64 (pow.f64 (exp.f64 (expm1.f64 (.f64 a x))) 2) (+.f64 1 (.f64 (exp.f64 (expm1.f64 (.f64 a x))) 1))))
(/.f64 (-.f64 (pow.f64 (exp.f64 (expm1.f64 (.f64 a x))) 2) 1) (+.f64 (exp.f64 (expm1.f64 (.f64 a x))) 1))
(pow.f64 (expm1.f64 (expm1.f64 (*.f64 a x))) 1)
(pow.f64 (cbrt.f64 (expm1.f64 (expm1.f64 (*.f64 a x)))) 3)
(pow.f64 (pow.f64 (expm1.f64 (expm1.f64 (*.f64 a x))) 2) 1/2)
(pow.f64 (pow.f64 (expm1.f64 (expm1.f64 (*.f64 a x))) 3) 1/3)
(pow.f64 (sqrt.f64 (expm1.f64 (expm1.f64 (*.f64 a x)))) 2)
(pow.f64 (E.f64) (log.f64 (expm1.f64 (expm1.f64 (*.f64 a x)))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (expm1.f64 (expm1.f64 (.f64 a x))))) 2)) (cbrt.f64 (log.f64 (expm1.f64 (expm1.f64 (.f64 a x))))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (expm1.f64 (expm1.f64 (.f64 a x)))))) (sqrt.f64 (log.f64 (expm1.f64 (expm1.f64 (.f64 a x))))))
(sqrt.f64 (pow.f64 (expm1.f64 (expm1.f64 (*.f64 a x))) 2))
(log.f64 (exp.f64 (expm1.f64 (expm1.f64 (*.f64 a x)))))
(cbrt.f64 (pow.f64 (expm1.f64 (expm1.f64 (*.f64 a x))) 3))
(exp.f64 (log.f64 (expm1.f64 (expm1.f64 (*.f64 a x)))))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (expm1.f64 (expm1.f64 (.f64 a x))))) 3))
(exp.f64 (.f64 (log.f64 (pow.f64 (expm1.f64 (expm1.f64 (.f64 a x))) 3)) 1/3))
(exp.f64 (.f64 (log.f64 (sqrt.f64 (expm1.f64 (expm1.f64 (.f64 a x))))) 2))
(log1p.f64 (expm1.f64 (expm1.f64 (expm1.f64 (*.f64 a x)))))
(fma.f64 1 (exp.f64 (expm1.f64 (*.f64 a x))) -1)
(fma.f64 (pow.f64 (cbrt.f64 (exp.f64 (expm1.f64 (.f64 a x)))) 2) (cbrt.f64 (exp.f64 (expm1.f64 (.f64 a x)))) -1)
(fma.f64 (sqrt.f64 (exp.f64 (expm1.f64 (.f64 a x)))) (sqrt.f64 (exp.f64 (expm1.f64 (.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 (.f64 1/2 (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)))
(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 (.f64 1/2 (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))))
(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 (.f64 1/2 (pow.f64 a 2)) (pow.f64 x 2) (.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 (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 (.f64 1/2 (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)))
(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 (.f64 1/2 (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))))
(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 (.f64 1/2 (pow.f64 a 2)) (pow.f64 x 2) (.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 (exp.f64 (*.f64 a x)) 1)
(expm1.f64 (*.f64 a x))
(*.f64 (pow.f64 a 3) (pow.f64 x 3))
(+.f64 (.f64 (pow.f64 a 3) (pow.f64 x 3)) (.f64 (pow.f64 a 4) (+.f64 (*.f64 1/2 (pow.f64 x 4)) (pow.f64 x 4))))
(fma.f64 (pow.f64 a 3) (pow.f64 x 3) (.f64 (pow.f64 a 4) (.f64 3/2 (pow.f64 x 4))))
(fma.f64 (pow.f64 a 4) (.f64 (pow.f64 x 4) 3/2) (.f64 (pow.f64 a 3) (pow.f64 x 3)))
(+.f64 (.f64 (pow.f64 a 3) (pow.f64 x 3)) (+.f64 (.f64 (pow.f64 a 4) (+.f64 (.f64 1/2 (pow.f64 x 4)) (pow.f64 x 4))) (.f64 (pow.f64 a 5) (+.f64 (.f64 1/6 (pow.f64 x 5)) (+.f64 (.f64 1/2 (pow.f64 x 5)) (.f64 x (+.f64 (.f64 1/4 (pow.f64 x 4)) (*.f64 1/3 (pow.f64 x 4)))))))))
(fma.f64 (pow.f64 a 3) (pow.f64 x 3) (fma.f64 (pow.f64 a 4) (.f64 3/2 (pow.f64 x 4)) (.f64 (pow.f64 a 5) (fma.f64 1/6 (pow.f64 x 5) (fma.f64 1/2 (pow.f64 x 5) (.f64 x (.f64 (pow.f64 x 4) 7/12)))))))
(fma.f64 (pow.f64 a 3) (pow.f64 x 3) (fma.f64 (pow.f64 a 4) (.f64 (pow.f64 x 4) 3/2) (.f64 (pow.f64 a 5) (+.f64 (.f64 x (.f64 (pow.f64 x 4) 7/12)) (*.f64 (pow.f64 x 5) 2/3)))))
(fma.f64 (pow.f64 a 3) (pow.f64 x 3) (fma.f64 (pow.f64 a 5) (+.f64 (.f64 (pow.f64 x 4) (.f64 7/12 x)) (.f64 (pow.f64 x 5) 2/3)) (.f64 (pow.f64 a 4) (*.f64 (pow.f64 x 4) 3/2))))
(+.f64 (.f64 (pow.f64 a 3) (pow.f64 x 3)) (+.f64 (.f64 (pow.f64 a 4) (+.f64 (.f64 1/2 (pow.f64 x 4)) (pow.f64 x 4))) (+.f64 (.f64 (pow.f64 a 5) (+.f64 (.f64 1/6 (pow.f64 x 5)) (+.f64 (.f64 1/2 (pow.f64 x 5)) (.f64 x (+.f64 (.f64 1/4 (pow.f64 x 4)) (.f64 1/3 (pow.f64 x 4))))))) (.f64 (pow.f64 a 6) (+.f64 (.f64 1/24 (pow.f64 x 6)) (+.f64 (.f64 1/6 (pow.f64 x 6)) (+.f64 (.f64 1/2 (.f64 (pow.f64 x 2) (+.f64 (.f64 1/4 (pow.f64 x 4)) (.f64 1/3 (pow.f64 x 4))))) (.f64 x (+.f64 (.f64 1/12 (pow.f64 x 5)) (*.f64 1/6 (pow.f64 x 5)))))))))))
(fma.f64 (pow.f64 a 3) (pow.f64 x 3) (fma.f64 (pow.f64 a 4) (.f64 3/2 (pow.f64 x 4)) (fma.f64 (pow.f64 a 5) (fma.f64 1/6 (pow.f64 x 5) (fma.f64 1/2 (pow.f64 x 5) (.f64 x (.f64 (pow.f64 x 4) 7/12)))) (.f64 (pow.f64 a 6) (fma.f64 1/24 (pow.f64 x 6) (fma.f64 1/6 (pow.f64 x 6) (fma.f64 1/2 (.f64 (pow.f64 x 2) (.f64 (pow.f64 x 4) 7/12)) (.f64 x (.f64 (pow.f64 x 5) 1/4)))))))))
(fma.f64 (pow.f64 a 3) (pow.f64 x 3) (fma.f64 (pow.f64 a 4) (.f64 (pow.f64 x 4) 3/2) (fma.f64 (pow.f64 a 5) (+.f64 (.f64 x (.f64 (pow.f64 x 4) 7/12)) (.f64 (pow.f64 x 5) 2/3)) (.f64 (pow.f64 a 6) (+.f64 (fma.f64 x (.f64 (pow.f64 x 5) 1/4) (.f64 1/2 (.f64 (pow.f64 x 6) 7/12))) (*.f64 (pow.f64 x 6) 5/24))))))
(fma.f64 (pow.f64 a 3) (pow.f64 x 3) (fma.f64 (pow.f64 a 4) (.f64 (pow.f64 x 4) 3/2) (fma.f64 (pow.f64 a 5) (+.f64 (.f64 (pow.f64 x 4) (.f64 7/12 x)) (.f64 (pow.f64 x 5) 2/3)) (.f64 (pow.f64 a 6) (+.f64 (fma.f64 1/2 (.f64 (pow.f64 x 6) 7/12) (.f64 1/4 (pow.f64 x 6))) (.f64 (pow.f64 x 6) 5/24))))))
(pow.f64 (-.f64 (exp.f64 (*.f64 a x)) 1) 3)
(pow.f64 (expm1.f64 (*.f64 a x)) 3)
(pow.f64 (-.f64 (exp.f64 (*.f64 a x)) 1) 3)
(pow.f64 (expm1.f64 (*.f64 a x)) 3)
(pow.f64 (-.f64 (exp.f64 (*.f64 a x)) 1) 3)
(pow.f64 (expm1.f64 (*.f64 a x)) 3)
(pow.f64 (-.f64 (exp.f64 (*.f64 a x)) 1) 3)
(pow.f64 (expm1.f64 (*.f64 a x)) 3)
(pow.f64 (-.f64 (exp.f64 (*.f64 a x)) 1) 3)
(pow.f64 (expm1.f64 (*.f64 a x)) 3)
(pow.f64 (-.f64 (exp.f64 (*.f64 a x)) 1) 3)
(pow.f64 (expm1.f64 (*.f64 a x)) 3)
(pow.f64 (-.f64 (exp.f64 (*.f64 a x)) 1) 3)
(pow.f64 (expm1.f64 (*.f64 a x)) 3)
(pow.f64 (-.f64 (exp.f64 (*.f64 a x)) 1) 3)
(pow.f64 (expm1.f64 (*.f64 a x)) 3)
(*.f64 (pow.f64 a 3) (pow.f64 x 3))
(+.f64 (.f64 (pow.f64 a 3) (pow.f64 x 3)) (.f64 (pow.f64 x 4) (+.f64 (*.f64 1/2 (pow.f64 a 4)) (pow.f64 a 4))))
(fma.f64 (pow.f64 a 3) (pow.f64 x 3) (.f64 (pow.f64 a 4) (.f64 3/2 (pow.f64 x 4))))
(fma.f64 (pow.f64 a 4) (.f64 (pow.f64 x 4) 3/2) (.f64 (pow.f64 a 3) (pow.f64 x 3)))
(+.f64 (.f64 (pow.f64 a 3) (pow.f64 x 3)) (+.f64 (.f64 (pow.f64 x 4) (+.f64 (.f64 1/2 (pow.f64 a 4)) (pow.f64 a 4))) (.f64 (pow.f64 x 5) (+.f64 (.f64 1/6 (pow.f64 a 5)) (+.f64 (.f64 1/2 (pow.f64 a 5)) (.f64 a (+.f64 (.f64 1/4 (pow.f64 a 4)) (*.f64 1/3 (pow.f64 a 4)))))))))
(fma.f64 (pow.f64 a 3) (pow.f64 x 3) (fma.f64 (pow.f64 x 4) (.f64 3/2 (pow.f64 a 4)) (.f64 (pow.f64 x 5) (fma.f64 1/6 (pow.f64 a 5) (fma.f64 1/2 (pow.f64 a 5) (.f64 a (.f64 (pow.f64 a 4) 7/12)))))))
(fma.f64 (pow.f64 a 3) (pow.f64 x 3) (fma.f64 (pow.f64 x 4) (.f64 (pow.f64 a 4) 3/2) (.f64 (pow.f64 x 5) (+.f64 (.f64 a (.f64 (pow.f64 a 4) 7/12)) (*.f64 (pow.f64 a 5) 2/3)))))
(fma.f64 (pow.f64 a 3) (pow.f64 x 3) (fma.f64 (pow.f64 x 5) (+.f64 (.f64 a (.f64 (pow.f64 a 4) 7/12)) (.f64 (pow.f64 a 5) 2/3)) (.f64 (pow.f64 a 4) (*.f64 (pow.f64 x 4) 3/2))))
(+.f64 (.f64 (pow.f64 a 3) (pow.f64 x 3)) (+.f64 (.f64 (pow.f64 x 4) (+.f64 (.f64 1/2 (pow.f64 a 4)) (pow.f64 a 4))) (+.f64 (.f64 (pow.f64 x 5) (+.f64 (.f64 1/6 (pow.f64 a 5)) (+.f64 (.f64 1/2 (pow.f64 a 5)) (.f64 a (+.f64 (.f64 1/4 (pow.f64 a 4)) (.f64 1/3 (pow.f64 a 4))))))) (.f64 (pow.f64 x 6) (+.f64 (.f64 1/24 (pow.f64 a 6)) (+.f64 (.f64 1/6 (pow.f64 a 6)) (+.f64 (.f64 1/2 (.f64 (pow.f64 a 2) (+.f64 (.f64 1/4 (pow.f64 a 4)) (.f64 1/3 (pow.f64 a 4))))) (.f64 a (+.f64 (.f64 1/12 (pow.f64 a 5)) (*.f64 1/6 (pow.f64 a 5)))))))))))
(fma.f64 (pow.f64 a 3) (pow.f64 x 3) (fma.f64 (pow.f64 x 4) (.f64 3/2 (pow.f64 a 4)) (fma.f64 (pow.f64 x 5) (fma.f64 1/6 (pow.f64 a 5) (fma.f64 1/2 (pow.f64 a 5) (.f64 a (.f64 (pow.f64 a 4) 7/12)))) (.f64 (pow.f64 x 6) (fma.f64 1/24 (pow.f64 a 6) (fma.f64 1/6 (pow.f64 a 6) (fma.f64 1/2 (.f64 (pow.f64 a 2) (.f64 (pow.f64 a 4) 7/12)) (.f64 a (.f64 (pow.f64 a 5) 1/4)))))))))
(fma.f64 (pow.f64 a 3) (pow.f64 x 3) (fma.f64 (pow.f64 x 4) (.f64 (pow.f64 a 4) 3/2) (fma.f64 (pow.f64 x 5) (+.f64 (.f64 a (.f64 (pow.f64 a 4) 7/12)) (.f64 (pow.f64 a 5) 2/3)) (.f64 (pow.f64 x 6) (+.f64 (fma.f64 a (.f64 (pow.f64 a 5) 1/4) (.f64 1/2 (.f64 (pow.f64 a 6) 7/12))) (*.f64 (pow.f64 a 6) 5/24))))))
(fma.f64 (pow.f64 a 3) (pow.f64 x 3) (fma.f64 (pow.f64 x 4) (.f64 (pow.f64 a 4) 3/2) (fma.f64 (pow.f64 x 5) (+.f64 (.f64 a (.f64 (pow.f64 a 4) 7/12)) (.f64 (pow.f64 a 5) 2/3)) (.f64 (pow.f64 x 6) (+.f64 (fma.f64 1/2 (.f64 (pow.f64 a 6) 7/12) (.f64 1/4 (pow.f64 a 6))) (.f64 (pow.f64 a 6) 5/24))))))
(pow.f64 (-.f64 (exp.f64 (*.f64 a x)) 1) 3)
(pow.f64 (expm1.f64 (*.f64 a x)) 3)
(pow.f64 (-.f64 (exp.f64 (*.f64 a x)) 1) 3)
(pow.f64 (expm1.f64 (*.f64 a x)) 3)
(pow.f64 (-.f64 (exp.f64 (*.f64 a x)) 1) 3)
(pow.f64 (expm1.f64 (*.f64 a x)) 3)
(pow.f64 (-.f64 (exp.f64 (*.f64 a x)) 1) 3)
(pow.f64 (expm1.f64 (*.f64 a x)) 3)
(pow.f64 (-.f64 (exp.f64 (*.f64 a x)) 1) 3)
(pow.f64 (expm1.f64 (*.f64 a x)) 3)
(pow.f64 (-.f64 (exp.f64 (*.f64 a x)) 1) 3)
(pow.f64 (expm1.f64 (*.f64 a x)) 3)
(pow.f64 (-.f64 (exp.f64 (*.f64 a x)) 1) 3)
(pow.f64 (expm1.f64 (*.f64 a x)) 3)
(pow.f64 (-.f64 (exp.f64 (*.f64 a x)) 1) 3)
(pow.f64 (expm1.f64 (*.f64 a x)) 3)
(*.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 (.f64 1/2 (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)))
(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 (.f64 1/2 (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))))
(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 (.f64 1/2 (pow.f64 a 2)) (pow.f64 x 2) (.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 (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 (.f64 1/2 (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)))
(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 (.f64 1/2 (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))))
(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 (.f64 1/2 (pow.f64 a 2)) (pow.f64 x 2) (.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 (exp.f64 (*.f64 a x)) 1)
(expm1.f64 (*.f64 a x))
(*.f64 a x)
(+.f64 (.f64 a x) (.f64 (pow.f64 a 2) (pow.f64 x 2)))
(fma.f64 a x (*.f64 (pow.f64 a 2) (pow.f64 x 2)))
(fma.f64 (pow.f64 a 2) (pow.f64 x 2) (*.f64 a x))
(+.f64 (.f64 a x) (+.f64 (.f64 (pow.f64 a 2) (pow.f64 x 2)) (.f64 (pow.f64 a 3) (+.f64 (.f64 1/3 (pow.f64 x 3)) (*.f64 1/2 (pow.f64 x 3))))))
(fma.f64 a x (fma.f64 (pow.f64 a 2) (pow.f64 x 2) (.f64 (pow.f64 a 3) (.f64 (pow.f64 x 3) 5/6))))
(fma.f64 a x (fma.f64 (pow.f64 a 2) (pow.f64 x 2) (.f64 (pow.f64 x 3) (.f64 (pow.f64 a 3) 5/6))))
(+.f64 (.f64 a x) (+.f64 (.f64 (pow.f64 a 2) (pow.f64 x 2)) (+.f64 (.f64 (pow.f64 a 3) (+.f64 (.f64 1/3 (pow.f64 x 3)) (.f64 1/2 (pow.f64 x 3)))) (.f64 (pow.f64 a 4) (+.f64 (.f64 1/12 (pow.f64 x 4)) (+.f64 (.f64 1/8 (pow.f64 x 4)) (+.f64 (.f64 1/6 (pow.f64 x 4)) (.f64 1/4 (pow.f64 x 4)))))))))
(fma.f64 a x (fma.f64 (pow.f64 a 2) (pow.f64 x 2) (fma.f64 (pow.f64 a 3) (.f64 (pow.f64 x 3) 5/6) (.f64 (pow.f64 a 4) (fma.f64 1/12 (pow.f64 x 4) (fma.f64 1/8 (pow.f64 x 4) (*.f64 (pow.f64 x 4) 5/12)))))))
(fma.f64 a x (fma.f64 (pow.f64 a 2) (pow.f64 x 2) (fma.f64 (pow.f64 a 4) (fma.f64 (pow.f64 x 4) 1/12 (.f64 (pow.f64 x 4) 13/24)) (.f64 (pow.f64 x 3) (*.f64 (pow.f64 a 3) 5/6)))))
(-.f64 (exp.f64 (-.f64 (exp.f64 (*.f64 a x)) 1)) 1)
(expm1.f64 (expm1.f64 (*.f64 a x)))
(-.f64 (exp.f64 (-.f64 (exp.f64 (*.f64 a x)) 1)) 1)
(expm1.f64 (expm1.f64 (*.f64 a x)))
(-.f64 (exp.f64 (-.f64 (exp.f64 (*.f64 a x)) 1)) 1)
(expm1.f64 (expm1.f64 (*.f64 a x)))
(-.f64 (exp.f64 (-.f64 (exp.f64 (*.f64 a x)) 1)) 1)
(expm1.f64 (expm1.f64 (*.f64 a x)))
(-.f64 (exp.f64 (-.f64 (exp.f64 (*.f64 a x)) 1)) 1)
(expm1.f64 (expm1.f64 (*.f64 a x)))
(-.f64 (exp.f64 (-.f64 (exp.f64 (*.f64 a x)) 1)) 1)
(expm1.f64 (expm1.f64 (*.f64 a x)))
(-.f64 (exp.f64 (-.f64 (exp.f64 (*.f64 a x)) 1)) 1)
(expm1.f64 (expm1.f64 (*.f64 a x)))
(-.f64 (exp.f64 (-.f64 (exp.f64 (*.f64 a x)) 1)) 1)
(expm1.f64 (expm1.f64 (*.f64 a x)))
(*.f64 a x)
(+.f64 (.f64 a x) (.f64 (pow.f64 a 2) (pow.f64 x 2)))
(fma.f64 a x (*.f64 (pow.f64 a 2) (pow.f64 x 2)))
(fma.f64 (pow.f64 a 2) (pow.f64 x 2) (*.f64 a x))
(+.f64 (.f64 a x) (+.f64 (.f64 (pow.f64 a 2) (pow.f64 x 2)) (.f64 (pow.f64 x 3) (+.f64 (.f64 1/3 (pow.f64 a 3)) (*.f64 1/2 (pow.f64 a 3))))))
(fma.f64 a x (fma.f64 (pow.f64 a 2) (pow.f64 x 2) (.f64 (pow.f64 a 3) (.f64 (pow.f64 x 3) 5/6))))
(fma.f64 a x (fma.f64 (pow.f64 a 2) (pow.f64 x 2) (.f64 (pow.f64 x 3) (.f64 (pow.f64 a 3) 5/6))))
(+.f64 (.f64 a x) (+.f64 (.f64 (pow.f64 a 2) (pow.f64 x 2)) (+.f64 (.f64 (pow.f64 x 3) (+.f64 (.f64 1/3 (pow.f64 a 3)) (.f64 1/2 (pow.f64 a 3)))) (.f64 (pow.f64 x 4) (+.f64 (.f64 1/12 (pow.f64 a 4)) (+.f64 (.f64 1/8 (pow.f64 a 4)) (+.f64 (.f64 1/6 (pow.f64 a 4)) (.f64 1/4 (pow.f64 a 4)))))))))
(fma.f64 a x (fma.f64 (pow.f64 a 2) (pow.f64 x 2) (fma.f64 (pow.f64 x 3) (.f64 (pow.f64 a 3) 5/6) (.f64 (pow.f64 x 4) (fma.f64 1/12 (pow.f64 a 4) (fma.f64 1/8 (pow.f64 a 4) (*.f64 (pow.f64 a 4) 5/12)))))))
(fma.f64 a x (fma.f64 (pow.f64 a 2) (pow.f64 x 2) (fma.f64 (pow.f64 x 3) (.f64 (pow.f64 a 3) 5/6) (.f64 (pow.f64 x 4) (fma.f64 (pow.f64 a 4) 1/12 (*.f64 (pow.f64 a 4) 13/24))))))
(fma.f64 a x (fma.f64 (pow.f64 a 2) (pow.f64 x 2) (fma.f64 (pow.f64 x 4) (fma.f64 (pow.f64 a 4) 1/12 (.f64 (pow.f64 a 4) 13/24)) (.f64 (pow.f64 x 3) (*.f64 (pow.f64 a 3) 5/6)))))
(-.f64 (exp.f64 (-.f64 (exp.f64 (*.f64 a x)) 1)) 1)
(expm1.f64 (expm1.f64 (*.f64 a x)))
(-.f64 (exp.f64 (-.f64 (exp.f64 (*.f64 a x)) 1)) 1)
(expm1.f64 (expm1.f64 (*.f64 a x)))
(-.f64 (exp.f64 (-.f64 (exp.f64 (*.f64 a x)) 1)) 1)
(expm1.f64 (expm1.f64 (*.f64 a x)))
(-.f64 (exp.f64 (-.f64 (exp.f64 (*.f64 a x)) 1)) 1)
(expm1.f64 (expm1.f64 (*.f64 a x)))
(-.f64 (exp.f64 (-.f64 (exp.f64 (*.f64 a x)) 1)) 1)
(expm1.f64 (expm1.f64 (*.f64 a x)))
(-.f64 (exp.f64 (-.f64 (exp.f64 (*.f64 a x)) 1)) 1)
(expm1.f64 (expm1.f64 (*.f64 a x)))
(-.f64 (exp.f64 (-.f64 (exp.f64 (*.f64 a x)) 1)) 1)
(expm1.f64 (expm1.f64 (*.f64 a x)))
(-.f64 (exp.f64 (-.f64 (exp.f64 (*.f64 a x)) 1)) 1)
(expm1.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 (pow.f64 (cbrt.f64 (exp.f64 (expm1.f64 (.f64 a x)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (expm1.f64 (.f64 a x))))))
(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 (log1p.f64 (pow.f64 (expm1.f64 (expm1.f64 (.f64 a x))) 3)) (log.f64 (+.f64 1 (-.f64 (pow.f64 (expm1.f64 (expm1.f64 (.f64 a x))) 2) (expm1.f64 (expm1.f64 (*.f64 a x)))))))
(-.f64 (log1p.f64 (pow.f64 (expm1.f64 (expm1.f64 (.f64 a x))) 3)) (log1p.f64 (-.f64 (pow.f64 (expm1.f64 (expm1.f64 (.f64 a x))) 2) (expm1.f64 (expm1.f64 (*.f64 a x))))))
(-.f64 (log1p.f64 (pow.f64 (expm1.f64 (expm1.f64 (.f64 a x))) 3)) (log1p.f64 (.f64 (expm1.f64 (expm1.f64 (.f64 a x))) (-.f64 (expm1.f64 (expm1.f64 (.f64 a x))) 1))))
(-.f64 (log1p.f64 (pow.f64 (expm1.f64 (expm1.f64 (.f64 a x))) 3)) (log1p.f64 (.f64 (expm1.f64 (expm1.f64 (.f64 a x))) (+.f64 (expm1.f64 (expm1.f64 (.f64 a x))) -1))))
(-.f64 (log.f64 (-.f64 1 (pow.f64 (expm1.f64 (expm1.f64 (.f64 a x))) 2))) (log.f64 (-.f64 1 (expm1.f64 (expm1.f64 (.f64 a x))))))
(-.f64 (log1p.f64 (neg.f64 (pow.f64 (expm1.f64 (expm1.f64 (.f64 a x))) 2))) (log1p.f64 (neg.f64 (expm1.f64 (expm1.f64 (.f64 a x))))))
(.f64 (expm1.f64 (.f64 a x)) 1)
(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 (cbrt.f64 (pow.f64 (cbrt.f64 (expm1.f64 (.f64 a x))) 2)) (pow.f64 (.f64 (cbrt.f64 (expm1.f64 (.f64 a x))) (pow.f64 (expm1.f64 (*.f64 a x)) 2)) 1/3))
(.f64 (cbrt.f64 (pow.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 (cbrt.f64 (pow.f64 (cbrt.f64 (expm1.f64 (.f64 a x))) 2)) (cbrt.f64 (.f64 (expm1.f64 (.f64 a x)) (pow.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))) 4))))
(.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (expm1.f64 (.f64 a x))) 2)) (cbrt.f64 (pow.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))) 7)))
(.f64 (cbrt.f64 (sqrt.f64 (expm1.f64 (.f64 a x)))) (pow.f64 (pow.f64 (expm1.f64 (*.f64 a x)) 5/2) 1/3))
(.f64 (cbrt.f64 (sqrt.f64 (expm1.f64 (.f64 a x)))) (cbrt.f64 (pow.f64 (expm1.f64 (*.f64 a x)) 5/2)))
(.f64 (pow.f64 (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (expm1.f64 (.f64 a x))) 2)) 2) 3/2) (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))) 2)) 3/2))
(.f64 (pow.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (expm1.f64 (.f64 a x))) 2)) 3/2) (pow.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))) 2)) 3/2))
(expm1.f64 (*.f64 a x))
(.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (expm1.f64 (.f64 a x)))) 3) (pow.f64 (sqrt.f64 (cbrt.f64 (expm1.f64 (*.f64 a x)))) 3))
(expm1.f64 (*.f64 a x))
(.f64 (pow.f64 (pow.f64 (expm1.f64 (.f64 a x)) 5/2) 1/3) (cbrt.f64 (sqrt.f64 (expm1.f64 (*.f64 a x)))))
(.f64 (cbrt.f64 (sqrt.f64 (expm1.f64 (.f64 a x)))) (cbrt.f64 (pow.f64 (expm1.f64 (*.f64 a x)) 5/2)))
(.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 (cbrt.f64 (cbrt.f64 (expm1.f64 (.f64 a x)))) 2) 3) (cbrt.f64 (expm1.f64 (*.f64 a x))))
(expm1.f64 (*.f64 a x))
(/.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 -1 (pow.f64 (pow.f64 (exp.f64 a) x) 3)) (+.f64 1 (+.f64 (pow.f64 (exp.f64 a) x) (pow.f64 (exp.f64 a) (*.f64 2 x)))))
(/.f64 (+.f64 -1 (pow.f64 (pow.f64 (exp.f64 x) a) 3)) (+.f64 1 (+.f64 (pow.f64 (exp.f64 x) a) (pow.f64 (exp.f64 a) (*.f64 2 x)))))
(/.f64 (-.f64 (pow.f64 (pow.f64 (exp.f64 a) x) 2) 1) (+.f64 (pow.f64 (exp.f64 a) x) 1))
(/.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 a) x) 2) -1) (+.f64 1 (pow.f64 (exp.f64 a) x)))
(/.f64 (+.f64 -1 (pow.f64 (exp.f64 a) (*.f64 2 x))) (+.f64 1 (pow.f64 (exp.f64 a) x)))
(/.f64 (+.f64 -1 (pow.f64 (exp.f64 a) (*.f64 2 x))) (+.f64 1 (pow.f64 (exp.f64 x) a)))
(pow.f64 (expm1.f64 (*.f64 a x)) 1)
(expm1.f64 (*.f64 a x))
(pow.f64 (pow.f64 (expm1.f64 (*.f64 a x)) 3) 1/3)
(expm1.f64 (*.f64 a x))
(pow.f64 (pow.f64 (expm1.f64 (*.f64 a x)) 2) 1/2)
(expm1.f64 (*.f64 a x))
(pow.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))) 3)
(expm1.f64 (*.f64 a x))
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(expm1.f64 (expm1.f64 (*.f64 a x)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (expm1.f64 (expm1.f64 (.f64 a x))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (expm1.f64 (expm1.f64 (.f64 a x)))))))
(+.f64 (.f64 2 (log.f64 (cbrt.f64 (exp.f64 (expm1.f64 (expm1.f64 (.f64 a x))))))) (log.f64 (cbrt.f64 (exp.f64 (expm1.f64 (expm1.f64 (*.f64 a x)))))))
(.f64 3 (log.f64 (cbrt.f64 (exp.f64 (expm1.f64 (expm1.f64 (.f64 a x)))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (expm1.f64 (expm1.f64 (.f64 a x)))))) (log.f64 (sqrt.f64 (exp.f64 (expm1.f64 (expm1.f64 (.f64 a x)))))))
(.f64 2 (log.f64 (sqrt.f64 (exp.f64 (expm1.f64 (expm1.f64 (.f64 a x)))))))
(-.f64 (exp.f64 (expm1.f64 (*.f64 a x))) 1)
(expm1.f64 (expm1.f64 (*.f64 a x)))
(.f64 (expm1.f64 (expm1.f64 (.f64 a x))) 1)
(expm1.f64 (expm1.f64 (*.f64 a x)))
(.f64 1 (expm1.f64 (expm1.f64 (.f64 a x))))
(expm1.f64 (expm1.f64 (*.f64 a x)))
(.f64 (cbrt.f64 (expm1.f64 (expm1.f64 (.f64 a x)))) (pow.f64 (cbrt.f64 (expm1.f64 (expm1.f64 (*.f64 a x)))) 2))
(expm1.f64 (expm1.f64 (*.f64 a x)))
(.f64 (pow.f64 (cbrt.f64 (expm1.f64 (expm1.f64 (.f64 a x)))) 2) (cbrt.f64 (expm1.f64 (expm1.f64 (*.f64 a x)))))
(expm1.f64 (expm1.f64 (*.f64 a x)))
(.f64 (sqrt.f64 (expm1.f64 (expm1.f64 (.f64 a x)))) (sqrt.f64 (expm1.f64 (expm1.f64 (*.f64 a x)))))
(expm1.f64 (expm1.f64 (*.f64 a x)))
(.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 (expm1.f64 (.f64 a x))))) 2) 3) (cbrt.f64 (expm1.f64 (expm1.f64 (*.f64 a x)))))
(expm1.f64 (expm1.f64 (*.f64 a x)))
(.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (expm1.f64 (expm1.f64 (.f64 a x))))) 3) (pow.f64 (sqrt.f64 (cbrt.f64 (expm1.f64 (expm1.f64 (*.f64 a x))))) 3))
(expm1.f64 (expm1.f64 (*.f64 a x)))
(.f64 (pow.f64 (sqrt.f64 (pow.f64 (expm1.f64 (expm1.f64 (.f64 a x))) 3)) 1/3) (pow.f64 (sqrt.f64 (pow.f64 (expm1.f64 (expm1.f64 (*.f64 a x))) 3)) 1/3))
(.f64 (cbrt.f64 (sqrt.f64 (pow.f64 (expm1.f64 (expm1.f64 (.f64 a x))) 3))) (cbrt.f64 (sqrt.f64 (pow.f64 (expm1.f64 (expm1.f64 (*.f64 a x))) 3))))
(.f64 (cbrt.f64 (pow.f64 (expm1.f64 (expm1.f64 (.f64 a x))) 3/2)) (cbrt.f64 (pow.f64 (expm1.f64 (expm1.f64 (*.f64 a x))) 3/2)))
(.f64 (pow.f64 (pow.f64 (.f64 (expm1.f64 (expm1.f64 (.f64 a x))) (cbrt.f64 (expm1.f64 (expm1.f64 (.f64 a x))))) 2) 1/3) (cbrt.f64 (cbrt.f64 (expm1.f64 (expm1.f64 (*.f64 a x))))))
(.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 (expm1.f64 (.f64 a x))))) (cbrt.f64 (pow.f64 (.f64 (expm1.f64 (expm1.f64 (.f64 a x))) (cbrt.f64 (expm1.f64 (expm1.f64 (*.f64 a x))))) 2)))
(.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 (expm1.f64 (.f64 a x))))) (cbrt.f64 (pow.f64 (pow.f64 (cbrt.f64 (expm1.f64 (expm1.f64 (*.f64 a x)))) 4) 2)))
(.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 (expm1.f64 (.f64 a x))))) (cbrt.f64 (pow.f64 (cbrt.f64 (expm1.f64 (expm1.f64 (*.f64 a x)))) 8)))
(.f64 (pow.f64 (pow.f64 (expm1.f64 (expm1.f64 (.f64 a x))) 5/2) 1/3) (cbrt.f64 (sqrt.f64 (expm1.f64 (expm1.f64 (*.f64 a x))))))
(.f64 (cbrt.f64 (pow.f64 (expm1.f64 (expm1.f64 (.f64 a x))) 5/2)) (cbrt.f64 (sqrt.f64 (expm1.f64 (expm1.f64 (*.f64 a x))))))
(/.f64 (-.f64 (pow.f64 (exp.f64 (expm1.f64 (.f64 a x))) 3) 1) (+.f64 (pow.f64 (exp.f64 (expm1.f64 (.f64 a x))) 2) (+.f64 1 (.f64 (exp.f64 (expm1.f64 (.f64 a x))) 1))))
(/.f64 (+.f64 (pow.f64 (exp.f64 (expm1.f64 (.f64 a x))) 3) -1) (+.f64 (pow.f64 (exp.f64 (expm1.f64 (.f64 a x))) 2) (+.f64 1 (exp.f64 (expm1.f64 (*.f64 a x))))))
(/.f64 (+.f64 -1 (pow.f64 (exp.f64 (expm1.f64 (.f64 a x))) 3)) (+.f64 1 (+.f64 (exp.f64 (expm1.f64 (.f64 a x))) (pow.f64 (exp.f64 (expm1.f64 (*.f64 a x))) 2))))
(/.f64 (-.f64 (pow.f64 (exp.f64 (expm1.f64 (.f64 a x))) 2) 1) (+.f64 (exp.f64 (expm1.f64 (.f64 a x))) 1))
(/.f64 (+.f64 (pow.f64 (exp.f64 (expm1.f64 (.f64 a x))) 2) -1) (+.f64 1 (exp.f64 (expm1.f64 (.f64 a x)))))
(/.f64 (+.f64 -1 (pow.f64 (exp.f64 (expm1.f64 (.f64 a x))) 2)) (+.f64 1 (exp.f64 (expm1.f64 (.f64 a x)))))
(pow.f64 (expm1.f64 (expm1.f64 (*.f64 a x))) 1)
(expm1.f64 (expm1.f64 (*.f64 a x)))
(pow.f64 (cbrt.f64 (expm1.f64 (expm1.f64 (*.f64 a x)))) 3)
(expm1.f64 (expm1.f64 (*.f64 a x)))
(pow.f64 (pow.f64 (expm1.f64 (expm1.f64 (*.f64 a x))) 2) 1/2)
(expm1.f64 (expm1.f64 (*.f64 a x)))
(pow.f64 (pow.f64 (expm1.f64 (expm1.f64 (*.f64 a x))) 3) 1/3)
(expm1.f64 (expm1.f64 (*.f64 a x)))
(pow.f64 (sqrt.f64 (expm1.f64 (expm1.f64 (*.f64 a x)))) 2)
(expm1.f64 (expm1.f64 (*.f64 a x)))
(pow.f64 (E.f64) (log.f64 (expm1.f64 (expm1.f64 (*.f64 a x)))))
(expm1.f64 (expm1.f64 (*.f64 a x)))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (expm1.f64 (expm1.f64 (.f64 a x))))) 2)) (cbrt.f64 (log.f64 (expm1.f64 (expm1.f64 (.f64 a x))))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (expm1.f64 (expm1.f64 (.f64 a x)))))) (sqrt.f64 (log.f64 (expm1.f64 (expm1.f64 (.f64 a x))))))
(sqrt.f64 (pow.f64 (expm1.f64 (expm1.f64 (*.f64 a x))) 2))
(expm1.f64 (expm1.f64 (*.f64 a x)))
(log.f64 (exp.f64 (expm1.f64 (expm1.f64 (*.f64 a x)))))
(expm1.f64 (expm1.f64 (*.f64 a x)))
(cbrt.f64 (pow.f64 (expm1.f64 (expm1.f64 (*.f64 a x))) 3))
(expm1.f64 (expm1.f64 (*.f64 a x)))
(exp.f64 (log.f64 (expm1.f64 (expm1.f64 (*.f64 a x)))))
(expm1.f64 (expm1.f64 (*.f64 a x)))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (expm1.f64 (expm1.f64 (.f64 a x))))) 3))
(expm1.f64 (expm1.f64 (*.f64 a x)))
(exp.f64 (.f64 (log.f64 (pow.f64 (expm1.f64 (expm1.f64 (.f64 a x))) 3)) 1/3))
(expm1.f64 (expm1.f64 (*.f64 a x)))
(exp.f64 (.f64 (log.f64 (sqrt.f64 (expm1.f64 (expm1.f64 (.f64 a x))))) 2))
(expm1.f64 (expm1.f64 (*.f64 a x)))
(log1p.f64 (expm1.f64 (expm1.f64 (expm1.f64 (*.f64 a x)))))
(expm1.f64 (expm1.f64 (*.f64 a x)))
(fma.f64 1 (exp.f64 (expm1.f64 (*.f64 a x))) -1)
(expm1.f64 (expm1.f64 (*.f64 a x)))
(fma.f64 (pow.f64 (cbrt.f64 (exp.f64 (expm1.f64 (.f64 a x)))) 2) (cbrt.f64 (exp.f64 (expm1.f64 (.f64 a x)))) -1)
(expm1.f64 (expm1.f64 (*.f64 a x)))
(fma.f64 (sqrt.f64 (exp.f64 (expm1.f64 (.f64 a x)))) (sqrt.f64 (exp.f64 (expm1.f64 (.f64 a x)))) -1)
(expm1.f64 (expm1.f64 (*.f64 a x)))

eval173.0ms (5.1%)

Compiler: Compiled 8758 to 4734 computations (45.9% saved)

prune49.0ms (1.4%)

Pruning

4 alts after pruning (0 fresh and 4 done)

	Pruned	Kept	Total
New	505	0	505
Fresh	0	0	0
Picked	0	3	3
Done	0	1	1
Total	505	4	509

Accuracy

100.0%

Counts

509 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	68.5%	(*.f64 a x)
✓	100.0%	(log1p.f64 (expm1.f64 (expm1.f64 (*.f64 a x))))
✓	100.0%	(expm1.f64 (*.f64 a x))
✓	75.1%	(cbrt.f64 (pow.f64 (expm1.f64 (*.f64 a x)) 3))

Compiler

Compiled 56 to 32 computations (42.9% saved)

regimes20.0ms (0.6%)

Counts

5 → 1

Calls

Call 1

Inputs
(*.f64 a x)
(expm1.f64 (*.f64 a x))
(-.f64 (exp.f64 (*.f64 a x)) 1)
(log1p.f64 (expm1.f64 (expm1.f64 (*.f64 a x))))
(cbrt.f64 (pow.f64 (expm1.f64 (*.f64 a x)) 3))

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

Calls

5 calls:

5.0ms	x
5.0ms	a
4.0ms	(*.f64 a x)
4.0ms	(-.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 53 to 29 computations (45.3% saved)

regimes9.0ms (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
68.5%	1	`a`
68.5%	1	`x`
68.5%	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)

soundness86.0ms (2.5%)

Rules

1040×	`associate-r`
988×	`times-frac`
972×	`fma-neg`
802×	`associate-l`
652×	`unswap-sqr`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	25	143
1	58	143
2	100	143
3	205	143
4	484	143
5	1364	143
6	4765	143

Stop Event

1×	node limit

Compiler

Compiled 12 to 7 computations (41.7% saved)

end0.0ms (0%)

preprocess37.0ms (1.1%)

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

analyze22.0ms (0.7%)

sample2.1s (60.6%)

preprocess177.0ms (5.2%)

eval0.0ms (0%)

prune1.0ms (0%)

localize24.0ms (0.7%)

series3.0ms (0.1%)

rewrite173.0ms (5.1%)

simplify70.0ms (2.1%)

eval19.0ms (0.6%)

prune12.0ms (0.3%)

localize63.0ms (1.9%)

series10.0ms (0.3%)

rewrite190.0ms (5.6%)

simplify196.0ms (5.8%)

eval173.0ms (5.1%)

prune49.0ms (1.4%)

regimes20.0ms (0.6%)

regimes9.0ms (0.3%)

simplify2.0ms (0.1%)

soundness86.0ms (2.5%)

end0.0ms (0%)

preprocess37.0ms (1.1%)

Profiling