Metrics for expax (section 3.5)

analyze21.0ms (0.5%)

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)

sample1.6s (41.3%)

Results

624.0ms	1472×	body	2048	valid
391.0ms	1707×	body	1024	valid
384.0ms	3905×	body	256	valid
180.0ms	1172×	body	512	valid
20.0ms	306×	body	256	precondition

Bogosity

preprocess125.0ms (3.2%)

Algorithm

1×	egg-herbie

Rules

1156×	`distribute-lft-in`
1114×	`distribute-rgt-in`
862×	`fma-neg`
760×	`associate-/r*`
758×	`associate-*r/`

Problems

139×	No Errors
115×	`(-.f64 (exp.f64 (*.f64 a x)) 1)`
2×	`(exp.f64 (*.f64 a x))`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	23	93
1	49	93
2	78	93
3	152	93
4	332	93
5	860	93
6	2814	93
7	7876	93

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)
(-.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)))
(expm1.f64 (*.f64 x (neg.f64 a)))
(-.f64 (exp.f64 (*.f64 a (neg.f64 x))) 1)
(expm1.f64 (*.f64 a (neg.f64 x)))
(expm1.f64 (*.f64 x (neg.f64 a)))
(-.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
▶	99.9%	(expm1.f64 (*.f64 a x))
▶	99.9%	(expm1.f64 (*.f64 a x))

Compiler

Compiled 12 to 8 computations (33.3% saved)

localize23.0ms (0.6%)

Localize:

Found 1 expressions with local error:

New	Accuracy	Program
✓	99.9%	(expm1.f64 (*.f64 a x))

Compiler

Compiled 12 to 5 computations (58.3% saved)

series1.0ms (0%)

Counts

1 → 24

Calls

6 calls:

Time	Variable		Point	Expression
0.0ms	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))

rewrite90.0ms (2.3%)

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)

simplify61.0ms (1.6%)

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 (0.4%)

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

prune20.0ms (0.5%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	71	4	75
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	71	5	76

Accuracy

100.0%

Counts

76 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	38.6%	(pow.f64 (E.f64) (log.f64 (expm1.f64 (*.f64 a x))))
▶	59.6%	(.f64 x (+.f64 a (.f64 x (*.f64 1/2 (pow.f64 a 2)))))
▶	64.2%	(*.f64 a x)
✓	99.9%	(expm1.f64 (*.f64 a x))
▶	75.1%	(cbrt.f64 (pow.f64 (expm1.f64 (*.f64 a x)) 3))
▶	38.6%	(pow.f64 (E.f64) (log.f64 (expm1.f64 (*.f64 a x))))
▶	59.6%	(.f64 x (+.f64 a (.f64 x (*.f64 1/2 (pow.f64 a 2)))))
▶	64.2%	(*.f64 a x)
✓	99.9%	(expm1.f64 (*.f64 a x))
▶	75.1%	(cbrt.f64 (pow.f64 (expm1.f64 (*.f64 a x)) 3))

Compiler

Compiled 84 to 60 computations (28.6% saved)

localize116.0ms (3%)

Localize:

Found 8 expressions with local error:

New	Accuracy	Program
	100.0%	(expm1.f64 (*.f64 a x))
✓	97.9%	(pow.f64 (E.f64) (log.f64 (expm1.f64 (*.f64 a x))))
✓	91.3%	(log.f64 (expm1.f64 (*.f64 a x)))
✓	33.4%	(E.f64)
✓	96.5%	(.f64 x (.f64 1/2 (pow.f64 a 2)))
	100.0%	(expm1.f64 (*.f64 a x))
✓	99.9%	(pow.f64 (expm1.f64 (*.f64 a x)) 3)
✓	88.5%	(cbrt.f64 (pow.f64 (expm1.f64 (*.f64 a x)) 3))

Compiler

Compiled 92 to 40 computations (56.5% saved)

series119.0ms (3%)

Counts

6 → 120

Calls

30 calls:

Time	Variable		Point	Expression
26.0ms	x	@	-inf	(log.f64 (expm1.f64 (*.f64 a x)))
23.0ms	a	@	inf	(log.f64 (expm1.f64 (*.f64 a x)))
17.0ms	a	@	-inf	(log.f64 (expm1.f64 (*.f64 a x)))
17.0ms	x	@	inf	(log.f64 (expm1.f64 (*.f64 a x)))
11.0ms	a	@	inf	(pow.f64 (E.f64) (log.f64 (expm1.f64 (*.f64 a x))))

rewrite93.0ms (2.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1042×	`log-prod`
824×	`log1p-expm1-u`
823×	`expm1-log1p-u`
716×	`pow-prod-down`
562×	`pow-prod-up`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	21	106
1	250	106
2	2571	106

Stop Event

1×	node limit

Counts

6 → 174

Calls

Call 1

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

simplify122.0ms (3.1%)

Algorithm

1×	egg-herbie

Rules

860×	`associate-r`
776×	`associate-l`
722×	`fma-def`
546×	`exp-prod`
544×	`log-prod`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	499	9002
1	1340	8520
2	4989	8183

Stop Event

1×	node limit

Counts

294 → 243

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)))))))))
(+.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)))))))))))
(pow.f64 (-.f64 (exp.f64 (*.f64 a x)) 1) 3)
(pow.f64 (-.f64 (exp.f64 (*.f64 a x)) 1) 3)
(pow.f64 (-.f64 (exp.f64 (*.f64 a x)) 1) 3)
(pow.f64 (-.f64 (exp.f64 (*.f64 a x)) 1) 3)
(pow.f64 (-.f64 (exp.f64 (*.f64 a x)) 1) 3)
(pow.f64 (-.f64 (exp.f64 (*.f64 a x)) 1) 3)
(pow.f64 (-.f64 (exp.f64 (*.f64 a x)) 1) 3)
(pow.f64 (-.f64 (exp.f64 (*.f64 a x)) 1) 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))))
(+.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)))))))))
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(exp.f64 (.f64 (log.f64 (.f64 (sqrt.f64 (*.f64 x 1/2)) a)) 2))
(log1p.f64 (expm1.f64 (.f64 1/2 (.f64 (pow.f64 a 2) x))))
(+.f64 0 (E.f64))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (E.f64))) (cbrt.f64 (exp.f64 (E.f64))))) (log.f64 (cbrt.f64 (exp.f64 (E.f64)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (E.f64)))) (log.f64 (sqrt.f64 (exp.f64 (E.f64)))))
(-.f64 (exp.f64 (log1p.f64 (E.f64))) 1)
(*.f64 (E.f64) 1)
(*.f64 1 (E.f64))
(*.f64 (exp.f64 1/3) (exp.f64 2/3))
(*.f64 (exp.f64 2/3) (exp.f64 1/3))
(*.f64 (exp.f64 1/2) (exp.f64 1/2))
(pow.f64 (E.f64) 1)
(pow.f64 (exp.f64 1/3) 3)
(pow.f64 (exp.f64 2) 1/2)
(pow.f64 (exp.f64 3) 1/3)
(pow.f64 (exp.f64 1/2) 2)
(sqrt.f64 (exp.f64 2))
(log.f64 (exp.f64 (E.f64)))
(log.f64 (+.f64 1 (expm1.f64 (E.f64))))
(cbrt.f64 (exp.f64 3))
(expm1.f64 (log1p.f64 (E.f64)))
(exp.f64 1)
(log1p.f64 (expm1.f64 (E.f64)))
(+.f64 (log.f64 (expm1.f64 (*.f64 a x))) 0)
(+.f64 (log.f64 (sqrt.f64 (expm1.f64 (.f64 a x)))) (log.f64 (sqrt.f64 (expm1.f64 (.f64 a x)))))
(+.f64 0 (log.f64 (expm1.f64 (*.f64 a x))))
(+.f64 (.f64 2 (log.f64 (cbrt.f64 (expm1.f64 (.f64 a x))))) (log.f64 (cbrt.f64 (expm1.f64 (*.f64 a x)))))
(+.f64 (log.f64 (cbrt.f64 (expm1.f64 (.f64 a x)))) (.f64 2 (log.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))))))
(+.f64 (log.f64 (pow.f64 1 (log.f64 (expm1.f64 (.f64 a x))))) (log.f64 (expm1.f64 (.f64 a x))))
(+.f64 (log.f64 (pow.f64 (exp.f64 2/3) (log.f64 (expm1.f64 (.f64 a x))))) (log.f64 (cbrt.f64 (expm1.f64 (.f64 a x)))))
(+.f64 (log.f64 (exp.f64 (.f64 (.f64 3/2 (log.f64 (expm1.f64 (.f64 a x)))) 1/3))) (log.f64 (exp.f64 (.f64 (.f64 3/2 (log.f64 (expm1.f64 (.f64 a x)))) 1/3))))
(-.f64 (exp.f64 (log1p.f64 (log.f64 (expm1.f64 (*.f64 a x))))) 1)
(-.f64 (log.f64 (-.f64 (pow.f64 (pow.f64 (exp.f64 a) x) 3) 1)) (log.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 a) x) 2) (+.f64 1 (*.f64 (pow.f64 (exp.f64 a) x) 1)))))
(-.f64 (log.f64 (-.f64 (pow.f64 (pow.f64 (exp.f64 a) x) 2) 1)) (log.f64 (+.f64 (pow.f64 (exp.f64 a) x) 1)))
(.f64 3 (log.f64 (cbrt.f64 (expm1.f64 (.f64 a x)))))
(.f64 2 (log.f64 (sqrt.f64 (expm1.f64 (.f64 a x)))))
(.f64 (log.f64 (expm1.f64 (.f64 a x))) 1)
(.f64 1 (log.f64 (expm1.f64 (.f64 a x))))
(.f64 1/3 (.f64 3 (log.f64 (expm1.f64 (*.f64 a x)))))
(.f64 (.f64 3 (log.f64 (expm1.f64 (*.f64 a x)))) 1/3)
(.f64 (cbrt.f64 (log.f64 (expm1.f64 (.f64 a x)))) (pow.f64 (cbrt.f64 (log.f64 (expm1.f64 (*.f64 a x)))) 2))
(.f64 (pow.f64 (cbrt.f64 (log.f64 (expm1.f64 (.f64 a x)))) 2) (cbrt.f64 (log.f64 (expm1.f64 (*.f64 a x)))))
(.f64 (sqrt.f64 (log.f64 (expm1.f64 (.f64 a x)))) (sqrt.f64 (log.f64 (expm1.f64 (*.f64 a x)))))
(.f64 (log.f64 (sqrt.f64 (expm1.f64 (.f64 a x)))) 2)
(pow.f64 (log.f64 (expm1.f64 (*.f64 a x))) 1)
(pow.f64 (cbrt.f64 (log.f64 (expm1.f64 (*.f64 a x)))) 3)
(pow.f64 (pow.f64 (log.f64 (expm1.f64 (*.f64 a x))) 2) 1/2)
(pow.f64 (pow.f64 (log.f64 (expm1.f64 (*.f64 a x))) 3) 1/3)
(pow.f64 (sqrt.f64 (log.f64 (expm1.f64 (*.f64 a x)))) 2)
(sqrt.f64 (pow.f64 (log.f64 (expm1.f64 (*.f64 a x))) 2))
(cbrt.f64 (pow.f64 (log.f64 (expm1.f64 (*.f64 a x))) 3))
(expm1.f64 (log1p.f64 (log.f64 (expm1.f64 (*.f64 a x)))))
(exp.f64 (log.f64 (log.f64 (expm1.f64 (*.f64 a x)))))
(exp.f64 (.f64 (log.f64 (log.f64 (expm1.f64 (.f64 a x)))) 1))
(exp.f64 (.f64 (.f64 (log.f64 (log.f64 (expm1.f64 (*.f64 a x)))) 1) 1))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (log.f64 (expm1.f64 (.f64 a x))))) 3))
(exp.f64 (.f64 (.f64 3 (log.f64 (log.f64 (expm1.f64 (*.f64 a x))))) 1/3))
(exp.f64 (.f64 (log.f64 (sqrt.f64 (log.f64 (expm1.f64 (.f64 a x))))) 2))
(log1p.f64 (-.f64 (expm1.f64 (*.f64 a x)) 1))
(fma.f64 (log.f64 (expm1.f64 (.f64 a x))) 1/2 (log.f64 (sqrt.f64 (expm1.f64 (.f64 a x)))))
(fma.f64 1 (log.f64 (sqrt.f64 (expm1.f64 (.f64 a x)))) (log.f64 (sqrt.f64 (expm1.f64 (.f64 a x)))))
(fma.f64 (.f64 (cbrt.f64 (log.f64 (sqrt.f64 (expm1.f64 (.f64 a x))))) (cbrt.f64 (log.f64 (sqrt.f64 (expm1.f64 (.f64 a x)))))) (cbrt.f64 (log.f64 (sqrt.f64 (expm1.f64 (.f64 a x))))) (log.f64 (sqrt.f64 (expm1.f64 (*.f64 a x)))))
(fma.f64 (sqrt.f64 (log.f64 (sqrt.f64 (expm1.f64 (.f64 a x))))) (sqrt.f64 (log.f64 (sqrt.f64 (expm1.f64 (.f64 a x))))) (log.f64 (sqrt.f64 (expm1.f64 (*.f64 a x)))))
(+.f64 (pow.f64 (exp.f64 a) x) -1)
(+.f64 0 (expm1.f64 (*.f64 a x)))
(+.f64 (log.f64 (.f64 (cbrt.f64 (exp.f64 (expm1.f64 (.f64 a x)))) (cbrt.f64 (exp.f64 (expm1.f64 (.f64 a x)))))) (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 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 1 (log.f64 (expm1.f64 (.f64 a x)))) (expm1.f64 (*.f64 a x)))
(.f64 (pow.f64 (exp.f64 2/3) (log.f64 (expm1.f64 (.f64 a x)))) (cbrt.f64 (expm1.f64 (*.f64 a x))))
(.f64 (exp.f64 (.f64 (.f64 3/2 (log.f64 (expm1.f64 (.f64 a x)))) 1/3)) (exp.f64 (.f64 (.f64 3/2 (log.f64 (expm1.f64 (*.f64 a x)))) 1/3)))
(/.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))))
(log.f64 (+.f64 1 (expm1.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 (.f64 3 (log.f64 (expm1.f64 (.f64 a x)))) 1) 1/3))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (expm1.f64 (.f64 a x)))) 3))
(log1p.f64 (expm1.f64 (expm1.f64 (*.f64 a x))))
(fma.f64 1 (pow.f64 (exp.f64 a) x) -1)
(fma.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 a) x)) (cbrt.f64 (pow.f64 (exp.f64 a) 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 (.f64 a x) (+.f64 1 (.f64 a (.f64 x 1/2))))
(+.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 1/6 (.f64 (pow.f64 a 3) (pow.f64 x 3)) (.f64 (.f64 a x) (+.f64 1 (.f64 a (*.f64 x 1/2)))))
(+.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 1/6 (.f64 (pow.f64 a 3) (pow.f64 x 3)) (.f64 (.f64 a x) (+.f64 1 (.f64 a (.f64 x 1/2))))))
(-.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 (.f64 a x) (+.f64 1 (.f64 a (.f64 x 1/2))))
(+.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 1/6 (.f64 (pow.f64 a 3) (pow.f64 x 3)) (.f64 (.f64 a x) (+.f64 1 (.f64 a (*.f64 x 1/2)))))
(+.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 1/6 (.f64 (pow.f64 a 3) (pow.f64 x 3)) (.f64 (.f64 a x) (+.f64 1 (.f64 a (.f64 x 1/2))))))
(-.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 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 4) (.f64 (pow.f64 x 4) 3/2) (.f64 (pow.f64 a 5) (+.f64 (.f64 (pow.f64 x 5) 7/12) (.f64 (pow.f64 x 5) 2/3)))))
(+.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 (.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 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)) (.f64 (pow.f64 a 5) (+.f64 (.f64 (pow.f64 x 5) 7/12) (*.f64 (pow.f64 x 5) 2/3))))))
(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)
(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 (pow.f64 a 5) 7/12) (.f64 (pow.f64 a 5) 2/3)) (.f64 (pow.f64 a 4) (.f64 (pow.f64 x 4) 3/2))))
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(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 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)) (.f64 (pow.f64 x 5) (+.f64 (.f64 (pow.f64 a 5) 7/12) (*.f64 (pow.f64 a 5) 2/3))))))
(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)
(pow.f64 (-.f64 (exp.f64 (*.f64 a x)) 1) 3)
(pow.f64 (expm1.f64 (*.f64 a x)) 3)
(.f64 1/2 (.f64 (pow.f64 a 2) x))
(.f64 1/2 (.f64 x (pow.f64 a 2)))
(.f64 x (.f64 1/2 (pow.f64 a 2)))
(.f64 1/2 (.f64 (pow.f64 a 2) x))
(.f64 1/2 (.f64 x (pow.f64 a 2)))
(.f64 x (.f64 1/2 (pow.f64 a 2)))
(.f64 1/2 (.f64 (pow.f64 a 2) x))
(.f64 1/2 (.f64 x (pow.f64 a 2)))
(.f64 x (.f64 1/2 (pow.f64 a 2)))
(.f64 1/2 (.f64 (pow.f64 a 2) x))
(.f64 1/2 (.f64 x (pow.f64 a 2)))
(.f64 x (.f64 1/2 (pow.f64 a 2)))
(.f64 1/2 (.f64 (pow.f64 a 2) x))
(.f64 1/2 (.f64 x (pow.f64 a 2)))
(.f64 x (.f64 1/2 (pow.f64 a 2)))
(.f64 1/2 (.f64 (pow.f64 a 2) x))
(.f64 1/2 (.f64 x (pow.f64 a 2)))
(.f64 x (.f64 1/2 (pow.f64 a 2)))
(.f64 1/2 (.f64 (pow.f64 a 2) x))
(.f64 1/2 (.f64 x (pow.f64 a 2)))
(.f64 x (.f64 1/2 (pow.f64 a 2)))
(.f64 1/2 (.f64 (pow.f64 a 2) x))
(.f64 1/2 (.f64 x (pow.f64 a 2)))
(.f64 x (.f64 1/2 (pow.f64 a 2)))
(.f64 1/2 (.f64 (pow.f64 a 2) x))
(.f64 1/2 (.f64 x (pow.f64 a 2)))
(.f64 x (.f64 1/2 (pow.f64 a 2)))
(.f64 1/2 (.f64 (pow.f64 a 2) x))
(.f64 1/2 (.f64 x (pow.f64 a 2)))
(.f64 x (.f64 1/2 (pow.f64 a 2)))
(.f64 1/2 (.f64 (pow.f64 a 2) x))
(.f64 1/2 (.f64 x (pow.f64 a 2)))
(.f64 x (.f64 1/2 (pow.f64 a 2)))
(.f64 1/2 (.f64 (pow.f64 a 2) x))
(.f64 1/2 (.f64 x (pow.f64 a 2)))
(.f64 x (.f64 1/2 (pow.f64 a 2)))
(.f64 1/2 (.f64 (pow.f64 a 2) x))
(.f64 1/2 (.f64 x (pow.f64 a 2)))
(.f64 x (.f64 1/2 (pow.f64 a 2)))
(.f64 1/2 (.f64 (pow.f64 a 2) x))
(.f64 1/2 (.f64 x (pow.f64 a 2)))
(.f64 x (.f64 1/2 (pow.f64 a 2)))
(.f64 1/2 (.f64 (pow.f64 a 2) x))
(.f64 1/2 (.f64 x (pow.f64 a 2)))
(.f64 x (.f64 1/2 (pow.f64 a 2)))
(.f64 1/2 (.f64 (pow.f64 a 2) x))
(.f64 1/2 (.f64 x (pow.f64 a 2)))
(.f64 x (.f64 1/2 (pow.f64 a 2)))
(.f64 1/2 (.f64 (pow.f64 a 2) x))
(.f64 1/2 (.f64 x (pow.f64 a 2)))
(.f64 x (.f64 1/2 (pow.f64 a 2)))
(.f64 1/2 (.f64 (pow.f64 a 2) x))
(.f64 1/2 (.f64 x (pow.f64 a 2)))
(.f64 x (.f64 1/2 (pow.f64 a 2)))
(.f64 1/2 (.f64 (pow.f64 a 2) x))
(.f64 1/2 (.f64 x (pow.f64 a 2)))
(.f64 x (.f64 1/2 (pow.f64 a 2)))
(.f64 1/2 (.f64 (pow.f64 a 2) x))
(.f64 1/2 (.f64 x (pow.f64 a 2)))
(.f64 x (.f64 1/2 (pow.f64 a 2)))
(.f64 1/2 (.f64 (pow.f64 a 2) x))
(.f64 1/2 (.f64 x (pow.f64 a 2)))
(.f64 x (.f64 1/2 (pow.f64 a 2)))
(.f64 1/2 (.f64 (pow.f64 a 2) x))
(.f64 1/2 (.f64 x (pow.f64 a 2)))
(.f64 x (.f64 1/2 (pow.f64 a 2)))
(.f64 1/2 (.f64 (pow.f64 a 2) x))
(.f64 1/2 (.f64 x (pow.f64 a 2)))
(.f64 x (.f64 1/2 (pow.f64 a 2)))
(.f64 1/2 (.f64 (pow.f64 a 2) x))
(.f64 1/2 (.f64 x (pow.f64 a 2)))
(.f64 x (.f64 1/2 (pow.f64 a 2)))
(+.f64 (log.f64 a) (log.f64 x))
(+.f64 (log.f64 a) (+.f64 (log.f64 x) (.f64 1/2 (.f64 a x))))
(+.f64 (log.f64 a) (+.f64 (log.f64 x) (.f64 (.f64 1/2 a) x)))
(+.f64 (log.f64 a) (fma.f64 (*.f64 a x) 1/2 (log.f64 x)))
(+.f64 (log.f64 a) (fma.f64 1/2 (*.f64 a x) (log.f64 x)))
(+.f64 (log.f64 a) (+.f64 (log.f64 x) (+.f64 (.f64 1/2 (.f64 a x)) (.f64 1/2 (.f64 (pow.f64 a 2) (+.f64 (.f64 -1/4 (pow.f64 x 2)) (.f64 1/3 (pow.f64 x 2))))))))
(+.f64 (+.f64 (log.f64 a) (log.f64 x)) (.f64 1/2 (+.f64 (.f64 a x) (.f64 (pow.f64 a 2) (.f64 (pow.f64 x 2) 1/12)))))
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(+.f64 (+.f64 (log.f64 a) (log.f64 x)) (.f64 1/2 (+.f64 (.f64 a x) (.f64 (pow.f64 a 2) (.f64 (pow.f64 x 2) 1/12)))))
(+.f64 (log.f64 a) (fma.f64 1/2 (fma.f64 a x (.f64 (pow.f64 a 2) (.f64 (pow.f64 x 2) 1/12))) (log.f64 x)))
(+.f64 (log.f64 a) (fma.f64 1/2 (.f64 a (+.f64 x (.f64 a (*.f64 (pow.f64 x 2) 1/12)))) (log.f64 x)))
(log.f64 (-.f64 (exp.f64 (*.f64 a x)) 1))
(log.f64 (expm1.f64 (*.f64 a x)))
(log.f64 (-.f64 (exp.f64 (*.f64 a x)) 1))
(log.f64 (expm1.f64 (*.f64 a x)))
(log.f64 (-.f64 (exp.f64 (*.f64 a x)) 1))
(log.f64 (expm1.f64 (*.f64 a x)))
(log.f64 (-.f64 (exp.f64 (*.f64 a x)) 1))
(log.f64 (expm1.f64 (*.f64 a x)))
(log.f64 (-.f64 (exp.f64 (*.f64 a x)) 1))
(log.f64 (expm1.f64 (*.f64 a x)))
(log.f64 (-.f64 (exp.f64 (*.f64 a x)) 1))
(log.f64 (expm1.f64 (*.f64 a x)))
(log.f64 (-.f64 (exp.f64 (*.f64 a x)) 1))
(log.f64 (expm1.f64 (*.f64 a x)))
(log.f64 (-.f64 (exp.f64 (*.f64 a x)) 1))
(log.f64 (expm1.f64 (*.f64 a x)))
(+.f64 (log.f64 a) (log.f64 x))
(+.f64 (log.f64 a) (+.f64 (log.f64 x) (.f64 1/2 (.f64 a x))))
(+.f64 (log.f64 a) (+.f64 (log.f64 x) (.f64 (.f64 1/2 a) x)))
(+.f64 (log.f64 a) (fma.f64 (*.f64 a x) 1/2 (log.f64 x)))
(+.f64 (log.f64 a) (fma.f64 1/2 (*.f64 a x) (log.f64 x)))
(+.f64 (log.f64 a) (+.f64 (log.f64 x) (+.f64 (.f64 1/2 (.f64 a x)) (.f64 1/2 (.f64 (pow.f64 x 2) (+.f64 (.f64 -1/4 (pow.f64 a 2)) (.f64 1/3 (pow.f64 a 2))))))))
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(+.f64 (log.f64 a) (fma.f64 1/2 (fma.f64 a x (.f64 (pow.f64 a 2) (.f64 (pow.f64 x 2) 1/12))) (log.f64 x)))
(+.f64 (log.f64 a) (fma.f64 1/2 (.f64 a (+.f64 x (.f64 a (*.f64 (pow.f64 x 2) 1/12)))) (log.f64 x)))
(+.f64 (log.f64 a) (+.f64 (log.f64 x) (+.f64 (.f64 1/6 (.f64 (pow.f64 x 3) (+.f64 (.f64 -1/2 (pow.f64 a 3)) (.f64 1/2 (pow.f64 a 3))))) (+.f64 (.f64 1/2 (.f64 a x)) (.f64 1/2 (.f64 (pow.f64 x 2) (+.f64 (.f64 -1/4 (pow.f64 a 2)) (.f64 1/3 (pow.f64 a 2)))))))))
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(log.f64 (-.f64 (exp.f64 (*.f64 a x)) 1))
(log.f64 (expm1.f64 (*.f64 a x)))
(log.f64 (-.f64 (exp.f64 (*.f64 a x)) 1))
(log.f64 (expm1.f64 (*.f64 a x)))
(log.f64 (-.f64 (exp.f64 (*.f64 a x)) 1))
(log.f64 (expm1.f64 (*.f64 a x)))
(log.f64 (-.f64 (exp.f64 (*.f64 a x)) 1))
(log.f64 (expm1.f64 (*.f64 a x)))
(log.f64 (-.f64 (exp.f64 (*.f64 a x)) 1))
(log.f64 (expm1.f64 (*.f64 a x)))
(log.f64 (-.f64 (exp.f64 (*.f64 a x)) 1))
(log.f64 (expm1.f64 (*.f64 a x)))
(log.f64 (-.f64 (exp.f64 (*.f64 a x)) 1))
(log.f64 (expm1.f64 (*.f64 a x)))
(log.f64 (-.f64 (exp.f64 (*.f64 a x)) 1))
(log.f64 (expm1.f64 (*.f64 a x)))
(exp.f64 (*.f64 (log.f64 (E.f64)) (+.f64 (log.f64 a) (log.f64 x))))
(*.f64 a x)
(+.f64 (exp.f64 (.f64 (log.f64 (E.f64)) (+.f64 (log.f64 a) (log.f64 x)))) (.f64 1/2 (.f64 a (.f64 x (.f64 (exp.f64 (.f64 (log.f64 (E.f64)) (+.f64 (log.f64 a) (log.f64 x)))) (log.f64 (E.f64)))))))
(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 (.f64 a x) (+.f64 1 (.f64 a (.f64 x 1/2))))
(+.f64 (exp.f64 (.f64 (log.f64 (E.f64)) (+.f64 (log.f64 a) (log.f64 x)))) (+.f64 (.f64 1/2 (.f64 a (.f64 x (.f64 (exp.f64 (.f64 (log.f64 (E.f64)) (+.f64 (log.f64 a) (log.f64 x)))) (log.f64 (E.f64)))))) (.f64 (pow.f64 a 2) (.f64 (exp.f64 (.f64 (log.f64 (E.f64)) (+.f64 (log.f64 a) (log.f64 x)))) (+.f64 (.f64 1/8 (.f64 (pow.f64 x 2) (pow.f64 (log.f64 (E.f64)) 2))) (.f64 1/2 (.f64 (log.f64 (E.f64)) (+.f64 (.f64 -1/4 (pow.f64 x 2)) (*.f64 1/3 (pow.f64 x 2))))))))))
(+.f64 (pow.f64 (E.f64) (+.f64 (log.f64 a) (log.f64 x))) (fma.f64 1/2 (.f64 (.f64 a x) (.f64 1 (pow.f64 (E.f64) (+.f64 (log.f64 a) (log.f64 x))))) (.f64 (pow.f64 a 2) (.f64 (pow.f64 (E.f64) (+.f64 (log.f64 a) (log.f64 x))) (fma.f64 1/8 (.f64 (pow.f64 x 2) 1) (.f64 1/2 (.f64 (pow.f64 x 2) 1/12)))))))
(+.f64 (exp.f64 (+.f64 (log.f64 a) (log.f64 x))) (fma.f64 (pow.f64 a 2) (.f64 (exp.f64 (+.f64 (log.f64 a) (log.f64 x))) (fma.f64 1/2 (.f64 (pow.f64 x 2) 1/12) (.f64 (pow.f64 x 2) 1/8))) (.f64 (.f64 a (.f64 x 1/2)) (exp.f64 (+.f64 (log.f64 a) (log.f64 x))))))
(+.f64 (.f64 (pow.f64 a 2) (.f64 1/2 (pow.f64 x 2))) (.f64 (.f64 a x) (+.f64 (.f64 (pow.f64 a 2) (fma.f64 1/2 (.f64 (pow.f64 x 2) 1/12) (*.f64 (pow.f64 x 2) 1/8))) 1)))
(+.f64 (exp.f64 (.f64 (log.f64 (E.f64)) (+.f64 (log.f64 a) (log.f64 x)))) (+.f64 (.f64 1/2 (.f64 a (.f64 x (.f64 (exp.f64 (.f64 (log.f64 (E.f64)) (+.f64 (log.f64 a) (log.f64 x)))) (log.f64 (E.f64)))))) (+.f64 (.f64 (pow.f64 a 2) (.f64 (exp.f64 (.f64 (log.f64 (E.f64)) (+.f64 (log.f64 a) (log.f64 x)))) (+.f64 (.f64 1/8 (.f64 (pow.f64 x 2) (pow.f64 (log.f64 (E.f64)) 2))) (.f64 1/2 (.f64 (log.f64 (E.f64)) (+.f64 (.f64 -1/4 (pow.f64 x 2)) (.f64 1/3 (pow.f64 x 2)))))))) (.f64 (pow.f64 a 3) (.f64 (exp.f64 (.f64 (log.f64 (E.f64)) (+.f64 (log.f64 a) (log.f64 x)))) (+.f64 (.f64 1/48 (.f64 (pow.f64 x 3) (pow.f64 (log.f64 (E.f64)) 3))) (+.f64 (.f64 1/6 (.f64 (log.f64 (E.f64)) (+.f64 (.f64 -1/2 (pow.f64 x 3)) (.f64 1/2 (pow.f64 x 3))))) (.f64 1/4 (.f64 x (.f64 (pow.f64 (log.f64 (E.f64)) 2) (+.f64 (.f64 -1/4 (pow.f64 x 2)) (*.f64 1/3 (pow.f64 x 2)))))))))))))
(+.f64 (pow.f64 (E.f64) (+.f64 (log.f64 a) (log.f64 x))) (fma.f64 1/2 (.f64 (.f64 a x) (.f64 1 (pow.f64 (E.f64) (+.f64 (log.f64 a) (log.f64 x))))) (fma.f64 (pow.f64 a 2) (.f64 (pow.f64 (E.f64) (+.f64 (log.f64 a) (log.f64 x))) (fma.f64 1/8 (.f64 (pow.f64 x 2) 1) (.f64 1/2 (.f64 (pow.f64 x 2) 1/12)))) (.f64 (.f64 (pow.f64 a 3) (pow.f64 (E.f64) (+.f64 (log.f64 a) (log.f64 x)))) (fma.f64 1/48 (.f64 (pow.f64 x 3) 1) (+.f64 (.f64 1/6 (.f64 (pow.f64 x 3) 0)) (.f64 1/4 (.f64 x (.f64 1 (.f64 (pow.f64 x 2) 1/12))))))))))
(+.f64 (exp.f64 (+.f64 (log.f64 a) (log.f64 x))) (fma.f64 1/2 (.f64 a (.f64 x (exp.f64 (+.f64 (log.f64 a) (log.f64 x))))) (fma.f64 (pow.f64 a 2) (.f64 (exp.f64 (+.f64 (log.f64 a) (log.f64 x))) (fma.f64 1/2 (.f64 (pow.f64 x 2) 1/12) (.f64 (pow.f64 x 2) 1/8))) (.f64 (pow.f64 a 3) (.f64 (exp.f64 (+.f64 (log.f64 a) (log.f64 x))) (fma.f64 (pow.f64 x 3) 1/48 (fma.f64 1/4 (.f64 (pow.f64 x 3) 1/12) 0)))))))
(+.f64 (.f64 (.f64 a x) (+.f64 1 (.f64 a (.f64 x 1/2)))) (.f64 (.f64 a x) (+.f64 (.f64 (fma.f64 1/2 (.f64 (pow.f64 x 2) 1/12) (.f64 (pow.f64 x 2) 1/8)) (pow.f64 a 2)) (.f64 (fma.f64 (pow.f64 x 3) 1/48 (.f64 1/4 (.f64 (pow.f64 x 3) 1/12))) (pow.f64 a 3)))))
(pow.f64 (-.f64 (exp.f64 (*.f64 a x)) 1) (log.f64 (E.f64)))
(expm1.f64 (*.f64 a x))
(pow.f64 (-.f64 (exp.f64 (*.f64 a x)) 1) (log.f64 (E.f64)))
(expm1.f64 (*.f64 a x))
(pow.f64 (-.f64 (exp.f64 (*.f64 a x)) 1) (log.f64 (E.f64)))
(expm1.f64 (*.f64 a x))
(pow.f64 (-.f64 (exp.f64 (*.f64 a x)) 1) (log.f64 (E.f64)))
(expm1.f64 (*.f64 a x))
(pow.f64 (-.f64 (exp.f64 (*.f64 a x)) 1) (log.f64 (E.f64)))
(expm1.f64 (*.f64 a x))
(pow.f64 (-.f64 (exp.f64 (*.f64 a x)) 1) (log.f64 (E.f64)))
(expm1.f64 (*.f64 a x))
(pow.f64 (-.f64 (exp.f64 (*.f64 a x)) 1) (log.f64 (E.f64)))
(expm1.f64 (*.f64 a x))
(pow.f64 (-.f64 (exp.f64 (*.f64 a x)) 1) (log.f64 (E.f64)))
(expm1.f64 (*.f64 a x))
(exp.f64 (*.f64 (log.f64 (E.f64)) (+.f64 (log.f64 a) (log.f64 x))))
(*.f64 a x)
(+.f64 (exp.f64 (.f64 (log.f64 (E.f64)) (+.f64 (log.f64 a) (log.f64 x)))) (.f64 1/2 (.f64 a (.f64 x (.f64 (exp.f64 (.f64 (log.f64 (E.f64)) (+.f64 (log.f64 a) (log.f64 x)))) (log.f64 (E.f64)))))))
(fma.f64 1/2 (.f64 (pow.f64 a 2) (pow.f64 x 2)) (.f64 a x))
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(.f64 1/2 (.f64 x (pow.f64 a 2)))
(.f64 x (.f64 1/2 (pow.f64 a 2)))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 1/2 (*.f64 (pow.f64 a 2) x)))) 3))
(.f64 1/2 (.f64 x (pow.f64 a 2)))
(.f64 x (.f64 1/2 (pow.f64 a 2)))
(exp.f64 (.f64 (.f64 3 (log.f64 (.f64 1/2 (.f64 (pow.f64 a 2) x)))) 1/3))
(.f64 1/2 (.f64 x (pow.f64 a 2)))
(.f64 x (.f64 1/2 (pow.f64 a 2)))
(exp.f64 (.f64 (log.f64 (.f64 (sqrt.f64 (*.f64 x 1/2)) a)) 2))
(.f64 1/2 (.f64 x (pow.f64 a 2)))
(.f64 x (.f64 1/2 (pow.f64 a 2)))
(log1p.f64 (expm1.f64 (.f64 1/2 (.f64 (pow.f64 a 2) x))))
(.f64 1/2 (.f64 x (pow.f64 a 2)))
(.f64 x (.f64 1/2 (pow.f64 a 2)))
(+.f64 0 (E.f64))
(E.f64)
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (E.f64))) (cbrt.f64 (exp.f64 (E.f64))))) (log.f64 (cbrt.f64 (exp.f64 (E.f64)))))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (exp.f64 (E.f64))))) (log.f64 (cbrt.f64 (exp.f64 (E.f64)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (E.f64)))) (log.f64 (sqrt.f64 (exp.f64 (E.f64)))))
(*.f64 2 (log.f64 (sqrt.f64 (exp.f64 (E.f64)))))
(-.f64 (exp.f64 (log1p.f64 (E.f64))) 1)
(E.f64)
(*.f64 (E.f64) 1)
(E.f64)
(*.f64 1 (E.f64))
(E.f64)
(*.f64 (exp.f64 1/3) (exp.f64 2/3))
(E.f64)
(*.f64 (exp.f64 2/3) (exp.f64 1/3))
(E.f64)
(*.f64 (exp.f64 1/2) (exp.f64 1/2))
(E.f64)
(pow.f64 (E.f64) 1)
(E.f64)
(pow.f64 (exp.f64 1/3) 3)
(E.f64)
(pow.f64 (exp.f64 2) 1/2)
(sqrt.f64 (exp.f64 2))
(pow.f64 (exp.f64 3) 1/3)
(cbrt.f64 (exp.f64 3))
(pow.f64 (exp.f64 1/2) 2)
(E.f64)
(sqrt.f64 (exp.f64 2))
(log.f64 (exp.f64 (E.f64)))
(E.f64)
(log.f64 (+.f64 1 (expm1.f64 (E.f64))))
(E.f64)
(cbrt.f64 (exp.f64 3))
(expm1.f64 (log1p.f64 (E.f64)))
(E.f64)
(exp.f64 1)
(E.f64)
(log1p.f64 (expm1.f64 (E.f64)))
(E.f64)
(+.f64 (log.f64 (expm1.f64 (*.f64 a x))) 0)
(log.f64 (expm1.f64 (*.f64 a x)))
(+.f64 (log.f64 (sqrt.f64 (expm1.f64 (.f64 a x)))) (log.f64 (sqrt.f64 (expm1.f64 (.f64 a x)))))
(log.f64 (expm1.f64 (*.f64 a x)))
(+.f64 0 (log.f64 (expm1.f64 (*.f64 a x))))
(log.f64 (expm1.f64 (*.f64 a x)))
(+.f64 (.f64 2 (log.f64 (cbrt.f64 (expm1.f64 (.f64 a x))))) (log.f64 (cbrt.f64 (expm1.f64 (*.f64 a x)))))
(log.f64 (expm1.f64 (*.f64 a x)))
(+.f64 (log.f64 (cbrt.f64 (expm1.f64 (.f64 a x)))) (.f64 2 (log.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))))))
(log.f64 (expm1.f64 (*.f64 a x)))
(+.f64 (log.f64 (pow.f64 1 (log.f64 (expm1.f64 (.f64 a x))))) (log.f64 (expm1.f64 (.f64 a x))))
(log.f64 (expm1.f64 (*.f64 a x)))
(+.f64 (log.f64 (pow.f64 (exp.f64 2/3) (log.f64 (expm1.f64 (.f64 a x))))) (log.f64 (cbrt.f64 (expm1.f64 (.f64 a x)))))
(+.f64 (log.f64 (cbrt.f64 (expm1.f64 (.f64 a x)))) (.f64 (log.f64 (expm1.f64 (*.f64 a x))) (log.f64 (exp.f64 2/3))))
(fma.f64 (log.f64 (expm1.f64 (.f64 a x))) 2/3 (log.f64 (cbrt.f64 (expm1.f64 (.f64 a x)))))
(+.f64 (log.f64 (exp.f64 (.f64 (.f64 3/2 (log.f64 (expm1.f64 (.f64 a x)))) 1/3))) (log.f64 (exp.f64 (.f64 (.f64 3/2 (log.f64 (expm1.f64 (.f64 a x)))) 1/3))))
(log.f64 (expm1.f64 (*.f64 a x)))
(-.f64 (exp.f64 (log1p.f64 (log.f64 (expm1.f64 (*.f64 a x))))) 1)
(log.f64 (expm1.f64 (*.f64 a x)))
(-.f64 (log.f64 (-.f64 (pow.f64 (pow.f64 (exp.f64 a) x) 3) 1)) (log.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 a) x) 2) (+.f64 1 (*.f64 (pow.f64 (exp.f64 a) x) 1)))))
(-.f64 (log.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 a) x) 3) -1)) (log.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 a) x) 2) (+.f64 1 (pow.f64 (exp.f64 a) x)))))
(-.f64 (log.f64 (+.f64 -1 (pow.f64 (pow.f64 (exp.f64 a) x) 3))) (log.f64 (+.f64 1 (+.f64 (pow.f64 (exp.f64 a) x) (pow.f64 (exp.f64 a) (*.f64 2 x))))))
(-.f64 (log.f64 (+.f64 -1 (pow.f64 (pow.f64 (exp.f64 a) x) 3))) (log1p.f64 (+.f64 (pow.f64 (exp.f64 a) x) (pow.f64 (exp.f64 a) (*.f64 2 x)))))
(-.f64 (log.f64 (-.f64 (pow.f64 (pow.f64 (exp.f64 a) x) 2) 1)) (log.f64 (+.f64 (pow.f64 (exp.f64 a) x) 1)))
(-.f64 (log.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 a) x) 2) -1)) (log.f64 (+.f64 1 (pow.f64 (exp.f64 a) x))))
(-.f64 (log.f64 (+.f64 -1 (pow.f64 (exp.f64 a) (*.f64 2 x)))) (log1p.f64 (pow.f64 (exp.f64 a) x)))
(-.f64 (log.f64 (expm1.f64 (*.f64 a (+.f64 x x)))) (log1p.f64 (pow.f64 (exp.f64 a) x)))
(.f64 3 (log.f64 (cbrt.f64 (expm1.f64 (.f64 a x)))))
(log.f64 (expm1.f64 (*.f64 a x)))
(.f64 2 (log.f64 (sqrt.f64 (expm1.f64 (.f64 a x)))))
(log.f64 (expm1.f64 (*.f64 a x)))
(.f64 (log.f64 (expm1.f64 (.f64 a x))) 1)
(log.f64 (expm1.f64 (*.f64 a x)))
(.f64 1 (log.f64 (expm1.f64 (.f64 a x))))
(log.f64 (expm1.f64 (*.f64 a x)))
(.f64 1/3 (.f64 3 (log.f64 (expm1.f64 (*.f64 a x)))))
(log.f64 (expm1.f64 (*.f64 a x)))
(.f64 (.f64 3 (log.f64 (expm1.f64 (*.f64 a x)))) 1/3)
(log.f64 (expm1.f64 (*.f64 a x)))
(.f64 (cbrt.f64 (log.f64 (expm1.f64 (.f64 a x)))) (pow.f64 (cbrt.f64 (log.f64 (expm1.f64 (*.f64 a x)))) 2))
(log.f64 (expm1.f64 (*.f64 a x)))
(.f64 (pow.f64 (cbrt.f64 (log.f64 (expm1.f64 (.f64 a x)))) 2) (cbrt.f64 (log.f64 (expm1.f64 (*.f64 a x)))))
(log.f64 (expm1.f64 (*.f64 a x)))
(.f64 (sqrt.f64 (log.f64 (expm1.f64 (.f64 a x)))) (sqrt.f64 (log.f64 (expm1.f64 (*.f64 a x)))))
(log.f64 (expm1.f64 (*.f64 a x)))
(.f64 (log.f64 (sqrt.f64 (expm1.f64 (.f64 a x)))) 2)
(log.f64 (expm1.f64 (*.f64 a x)))
(pow.f64 (log.f64 (expm1.f64 (*.f64 a x))) 1)
(log.f64 (expm1.f64 (*.f64 a x)))
(pow.f64 (cbrt.f64 (log.f64 (expm1.f64 (*.f64 a x)))) 3)
(log.f64 (expm1.f64 (*.f64 a x)))
(pow.f64 (pow.f64 (log.f64 (expm1.f64 (*.f64 a x))) 2) 1/2)
(log.f64 (expm1.f64 (*.f64 a x)))
(pow.f64 (pow.f64 (log.f64 (expm1.f64 (*.f64 a x))) 3) 1/3)
(log.f64 (expm1.f64 (*.f64 a x)))
(pow.f64 (sqrt.f64 (log.f64 (expm1.f64 (*.f64 a x)))) 2)
(log.f64 (expm1.f64 (*.f64 a x)))
(sqrt.f64 (pow.f64 (log.f64 (expm1.f64 (*.f64 a x))) 2))
(log.f64 (expm1.f64 (*.f64 a x)))
(cbrt.f64 (pow.f64 (log.f64 (expm1.f64 (*.f64 a x))) 3))
(log.f64 (expm1.f64 (*.f64 a x)))
(expm1.f64 (log1p.f64 (log.f64 (expm1.f64 (*.f64 a x)))))
(log.f64 (expm1.f64 (*.f64 a x)))
(exp.f64 (log.f64 (log.f64 (expm1.f64 (*.f64 a x)))))
(log.f64 (expm1.f64 (*.f64 a x)))
(exp.f64 (.f64 (log.f64 (log.f64 (expm1.f64 (.f64 a x)))) 1))
(log.f64 (expm1.f64 (*.f64 a x)))
(exp.f64 (.f64 (.f64 (log.f64 (log.f64 (expm1.f64 (*.f64 a x)))) 1) 1))
(log.f64 (expm1.f64 (*.f64 a x)))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (log.f64 (expm1.f64 (.f64 a x))))) 3))
(log.f64 (expm1.f64 (*.f64 a x)))
(exp.f64 (.f64 (.f64 3 (log.f64 (log.f64 (expm1.f64 (*.f64 a x))))) 1/3))
(log.f64 (expm1.f64 (*.f64 a x)))
(exp.f64 (.f64 (log.f64 (sqrt.f64 (log.f64 (expm1.f64 (.f64 a x))))) 2))
(log.f64 (expm1.f64 (*.f64 a x)))
(log1p.f64 (-.f64 (expm1.f64 (*.f64 a x)) 1))
(log.f64 (expm1.f64 (*.f64 a x)))
(fma.f64 (log.f64 (expm1.f64 (.f64 a x))) 1/2 (log.f64 (sqrt.f64 (expm1.f64 (.f64 a x)))))
(log.f64 (expm1.f64 (*.f64 a x)))
(fma.f64 1 (log.f64 (sqrt.f64 (expm1.f64 (.f64 a x)))) (log.f64 (sqrt.f64 (expm1.f64 (.f64 a x)))))
(log.f64 (expm1.f64 (*.f64 a x)))
(fma.f64 (.f64 (cbrt.f64 (log.f64 (sqrt.f64 (expm1.f64 (.f64 a x))))) (cbrt.f64 (log.f64 (sqrt.f64 (expm1.f64 (.f64 a x)))))) (cbrt.f64 (log.f64 (sqrt.f64 (expm1.f64 (.f64 a x))))) (log.f64 (sqrt.f64 (expm1.f64 (*.f64 a x)))))
(log.f64 (expm1.f64 (*.f64 a x)))
(fma.f64 (sqrt.f64 (log.f64 (sqrt.f64 (expm1.f64 (.f64 a x))))) (sqrt.f64 (log.f64 (sqrt.f64 (expm1.f64 (.f64 a x))))) (log.f64 (sqrt.f64 (expm1.f64 (*.f64 a x)))))
(log.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 (.f64 (cbrt.f64 (exp.f64 (expm1.f64 (.f64 a x)))) (cbrt.f64 (exp.f64 (expm1.f64 (.f64 a x)))))) (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 (log.f64 (sqrt.f64 (exp.f64 (expm1.f64 (.f64 a x))))) (log.f64 (sqrt.f64 (exp.f64 (expm1.f64 (.f64 a x))))))
(.f64 2 (log.f64 (sqrt.f64 (exp.f64 (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 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 1 (log.f64 (expm1.f64 (.f64 a x)))) (expm1.f64 (*.f64 a x)))
(expm1.f64 (*.f64 a x))
(.f64 (pow.f64 (exp.f64 2/3) (log.f64 (expm1.f64 (.f64 a x)))) (cbrt.f64 (expm1.f64 (*.f64 a x))))
(.f64 (cbrt.f64 (expm1.f64 (.f64 a x))) (pow.f64 (exp.f64 2/3) (log.f64 (expm1.f64 (*.f64 a x)))))
(.f64 (exp.f64 (.f64 (.f64 3/2 (log.f64 (expm1.f64 (.f64 a x)))) 1/3)) (exp.f64 (.f64 (.f64 3/2 (log.f64 (expm1.f64 (*.f64 a x)))) 1/3)))
(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 (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 (expm1.f64 (*.f64 a (+.f64 x x))) (+.f64 1 (pow.f64 (exp.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))
(log.f64 (+.f64 1 (expm1.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 (.f64 3 (log.f64 (expm1.f64 (.f64 a x)))) 1) 1/3))
(expm1.f64 (*.f64 a x))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (expm1.f64 (.f64 a x)))) 3))
(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 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 a) x)) (cbrt.f64 (pow.f64 (exp.f64 a) x))) (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))

eval173.0ms (4.5%)

Compiler: Compiled 10014 to 5268 computations (47.4% saved)

prune318.0ms (8.2%)

Pruning

7 alts after pruning (2 fresh and 5 done)

	Pruned	Kept	Total
New	541	2	543
Fresh	0	0	0
Picked	0	4	4
Done	0	1	1
Total	541	7	548

Accuracy

100.0%

Counts

548 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	38.6%	(pow.f64 (E.f64) (log.f64 (expm1.f64 (*.f64 a x))))
▶	38.5%	(.f64 (pow.f64 (exp.f64 2/3) (log.f64 (expm1.f64 (.f64 a x)))) (cbrt.f64 (expm1.f64 (*.f64 a x))))
▶	63.4%	(.f64 (.f64 a x) (+.f64 1 (.f64 a (.f64 x 1/2))))
✓	59.6%	(.f64 x (+.f64 a (.f64 x (*.f64 1/2 (pow.f64 a 2)))))
✓	64.2%	(*.f64 a x)
✓	99.9%	(expm1.f64 (*.f64 a x))
✓	75.1%	(cbrt.f64 (pow.f64 (expm1.f64 (*.f64 a x)) 3))
✓	38.6%	(pow.f64 (E.f64) (log.f64 (expm1.f64 (*.f64 a x))))
▶	38.5%	(.f64 (pow.f64 (exp.f64 2/3) (log.f64 (expm1.f64 (.f64 a x)))) (cbrt.f64 (expm1.f64 (*.f64 a x))))
▶	63.4%	(.f64 (.f64 a x) (+.f64 1 (.f64 a (.f64 x 1/2))))
✓	59.6%	(.f64 x (+.f64 a (.f64 x (*.f64 1/2 (pow.f64 a 2)))))
✓	64.2%	(*.f64 a x)
✓	99.9%	(expm1.f64 (*.f64 a x))
✓	75.1%	(cbrt.f64 (pow.f64 (expm1.f64 (*.f64 a x)) 3))

Compiler

Compiled 142 to 98 computations (31% saved)

localize87.0ms (2.2%)

Localize:

Found 6 expressions with local error:

New	Accuracy	Program
✓	99.5%	(exp.f64 2/3)
✓	97.2%	(pow.f64 (exp.f64 2/3) (log.f64 (expm1.f64 (*.f64 a x))))
	91.3%	(log.f64 (expm1.f64 (*.f64 a x)))
✓	91.2%	(cbrt.f64 (expm1.f64 (*.f64 a x)))
✓	100.0%	(+.f64 1 (.f64 a (.f64 x 1/2)))
✓	100.0%	(.f64 (.f64 a x) (+.f64 1 (.f64 a (.f64 x 1/2))))

Compiler

Compiled 80 to 35 computations (56.3% saved)

series36.0ms (0.9%)

Counts

5 → 88

Calls

24 calls:

Time	Variable		Point	Expression
15.0ms	a	@	inf	(pow.f64 (exp.f64 2/3) (log.f64 (expm1.f64 (*.f64 a x))))
6.0ms	x	@	inf	(pow.f64 (exp.f64 2/3) (log.f64 (expm1.f64 (*.f64 a x))))
2.0ms	a	@	inf	(cbrt.f64 (expm1.f64 (*.f64 a x)))
1.0ms	a	@	-inf	(cbrt.f64 (expm1.f64 (*.f64 a x)))
1.0ms	x	@	-inf	(cbrt.f64 (expm1.f64 (*.f64 a x)))

rewrite94.0ms (2.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1932×	`prod-diff`
718×	`log1p-expm1-u`
584×	`expm1-log1p-u`
432×	`expm1-udef`
432×	`log1p-udef`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	21	125
1	265	117
2	3342	117

Stop Event

1×	node limit

Counts

5 → 119

Calls

Call 1

Inputs
(.f64 (.f64 a x) (+.f64 1 (.f64 a (.f64 x 1/2))))
(+.f64 1 (.f64 a (.f64 x 1/2)))
(cbrt.f64 (expm1.f64 (*.f64 a x)))
(pow.f64 (exp.f64 2/3) (log.f64 (expm1.f64 (*.f64 a x))))
(exp.f64 2/3)

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

simplify94.0ms (2.4%)

Algorithm

1×	egg-herbie

Rules

1270×	`distribute-lft-in`
1254×	`distribute-rgt-in`
656×	`times-frac`
522×	`associate-l`
510×	`associate-r`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	333	7897
1	844	7421
2	3239	7209

Stop Event

1×	node limit

Counts

207 → 180

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 1/2 (.f64 (pow.f64 a 2) (pow.f64 x 2))) (*.f64 a x))
(+.f64 (.f64 1/2 (.f64 (pow.f64 a 2) (pow.f64 x 2))) (*.f64 a x))
(.f64 1/2 (.f64 (pow.f64 a 2) (pow.f64 x 2)))
(+.f64 (.f64 1/2 (.f64 (pow.f64 a 2) (pow.f64 x 2))) (*.f64 a x))
(+.f64 (.f64 1/2 (.f64 (pow.f64 a 2) (pow.f64 x 2))) (*.f64 a x))
(+.f64 (.f64 1/2 (.f64 (pow.f64 a 2) (pow.f64 x 2))) (*.f64 a x))
(.f64 1/2 (.f64 (pow.f64 a 2) (pow.f64 x 2)))
(+.f64 (.f64 1/2 (.f64 (pow.f64 a 2) (pow.f64 x 2))) (*.f64 a x))
(+.f64 (.f64 1/2 (.f64 (pow.f64 a 2) (pow.f64 x 2))) (*.f64 a x))
(+.f64 (.f64 1/2 (.f64 (pow.f64 a 2) (pow.f64 x 2))) (*.f64 a x))
(*.f64 a x)
(+.f64 (.f64 1/2 (.f64 (pow.f64 a 2) (pow.f64 x 2))) (*.f64 a x))
(+.f64 (.f64 1/2 (.f64 (pow.f64 a 2) (pow.f64 x 2))) (*.f64 a x))
(+.f64 (.f64 1/2 (.f64 (pow.f64 a 2) (pow.f64 x 2))) (*.f64 a x))
(.f64 1/2 (.f64 (pow.f64 a 2) (pow.f64 x 2)))
(+.f64 (.f64 1/2 (.f64 (pow.f64 a 2) (pow.f64 x 2))) (*.f64 a x))
(+.f64 (.f64 1/2 (.f64 (pow.f64 a 2) (pow.f64 x 2))) (*.f64 a x))
(+.f64 (.f64 1/2 (.f64 (pow.f64 a 2) (pow.f64 x 2))) (*.f64 a x))
(.f64 1/2 (.f64 (pow.f64 a 2) (pow.f64 x 2)))
(+.f64 (.f64 1/2 (.f64 (pow.f64 a 2) (pow.f64 x 2))) (*.f64 a x))
(+.f64 (.f64 1/2 (.f64 (pow.f64 a 2) (pow.f64 x 2))) (*.f64 a x))
(+.f64 (.f64 1/2 (.f64 (pow.f64 a 2) (pow.f64 x 2))) (*.f64 a x))
1
(+.f64 1 (.f64 1/2 (.f64 a x)))
(+.f64 1 (.f64 1/2 (.f64 a x)))
(+.f64 1 (.f64 1/2 (.f64 a x)))
(.f64 1/2 (.f64 a x))
(+.f64 1 (.f64 1/2 (.f64 a x)))
(+.f64 1 (.f64 1/2 (.f64 a x)))
(+.f64 1 (.f64 1/2 (.f64 a x)))
(.f64 1/2 (.f64 a x))
(+.f64 1 (.f64 1/2 (.f64 a x)))
(+.f64 1 (.f64 1/2 (.f64 a x)))
(+.f64 1 (.f64 1/2 (.f64 a x)))
1
(+.f64 1 (.f64 1/2 (.f64 a x)))
(+.f64 1 (.f64 1/2 (.f64 a x)))
(+.f64 1 (.f64 1/2 (.f64 a x)))
(.f64 1/2 (.f64 a x))
(+.f64 1 (.f64 1/2 (.f64 a x)))
(+.f64 1 (.f64 1/2 (.f64 a x)))
(+.f64 1 (.f64 1/2 (.f64 a x)))
(.f64 1/2 (.f64 a x))
(+.f64 1 (.f64 1/2 (.f64 a x)))
(+.f64 1 (.f64 1/2 (.f64 a x)))
(+.f64 1 (.f64 1/2 (.f64 a x)))
(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)
(exp.f64 (*.f64 2/3 (+.f64 (log.f64 a) (log.f64 x))))
(+.f64 (exp.f64 (.f64 2/3 (+.f64 (log.f64 a) (log.f64 x)))) (.f64 1/3 (.f64 a (.f64 x (exp.f64 (*.f64 2/3 (+.f64 (log.f64 a) (log.f64 x))))))))
(+.f64 (exp.f64 (.f64 2/3 (+.f64 (log.f64 a) (log.f64 x)))) (+.f64 (.f64 1/3 (.f64 a (.f64 x (exp.f64 (.f64 2/3 (+.f64 (log.f64 a) (log.f64 x))))))) (.f64 (pow.f64 a 2) (.f64 (exp.f64 (.f64 2/3 (+.f64 (log.f64 a) (log.f64 x)))) (+.f64 (.f64 1/18 (pow.f64 x 2)) (.f64 1/3 (+.f64 (.f64 -1/4 (pow.f64 x 2)) (.f64 1/3 (pow.f64 x 2)))))))))
(+.f64 (exp.f64 (.f64 2/3 (+.f64 (log.f64 a) (log.f64 x)))) (+.f64 (.f64 1/3 (.f64 a (.f64 x (exp.f64 (.f64 2/3 (+.f64 (log.f64 a) (log.f64 x))))))) (+.f64 (.f64 (pow.f64 a 2) (.f64 (exp.f64 (.f64 2/3 (+.f64 (log.f64 a) (log.f64 x)))) (+.f64 (.f64 1/18 (pow.f64 x 2)) (.f64 1/3 (+.f64 (.f64 -1/4 (pow.f64 x 2)) (.f64 1/3 (pow.f64 x 2))))))) (.f64 (pow.f64 a 3) (.f64 (exp.f64 (.f64 2/3 (+.f64 (log.f64 a) (log.f64 x)))) (+.f64 (.f64 1/162 (pow.f64 x 3)) (+.f64 (.f64 1/9 (.f64 x (+.f64 (.f64 -1/4 (pow.f64 x 2)) (.f64 1/3 (pow.f64 x 2))))) (.f64 1/9 (+.f64 (.f64 -1/2 (pow.f64 x 3)) (*.f64 1/2 (pow.f64 x 3)))))))))))
(pow.f64 (pow.f64 (-.f64 (exp.f64 (*.f64 a x)) 1) 2) 1/3)
(pow.f64 (pow.f64 (-.f64 (exp.f64 (*.f64 a x)) 1) 2) 1/3)
(pow.f64 (pow.f64 (-.f64 (exp.f64 (*.f64 a x)) 1) 2) 1/3)
(pow.f64 (pow.f64 (-.f64 (exp.f64 (*.f64 a x)) 1) 2) 1/3)
(pow.f64 (pow.f64 (-.f64 (exp.f64 (*.f64 a x)) 1) 2) 1/3)
(pow.f64 (pow.f64 (-.f64 (exp.f64 (*.f64 a x)) 1) 2) 1/3)
(pow.f64 (pow.f64 (-.f64 (exp.f64 (*.f64 a x)) 1) 2) 1/3)
(pow.f64 (pow.f64 (-.f64 (exp.f64 (*.f64 a x)) 1) 2) 1/3)
(exp.f64 (*.f64 2/3 (+.f64 (log.f64 a) (log.f64 x))))
(+.f64 (exp.f64 (.f64 2/3 (+.f64 (log.f64 a) (log.f64 x)))) (.f64 1/3 (.f64 a (.f64 x (exp.f64 (*.f64 2/3 (+.f64 (log.f64 a) (log.f64 x))))))))
(+.f64 (exp.f64 (.f64 2/3 (+.f64 (log.f64 a) (log.f64 x)))) (+.f64 (.f64 1/3 (.f64 a (.f64 x (exp.f64 (.f64 2/3 (+.f64 (log.f64 a) (log.f64 x))))))) (.f64 (pow.f64 x 2) (.f64 (exp.f64 (.f64 2/3 (+.f64 (log.f64 a) (log.f64 x)))) (+.f64 (.f64 1/18 (pow.f64 a 2)) (.f64 1/3 (+.f64 (.f64 -1/4 (pow.f64 a 2)) (.f64 1/3 (pow.f64 a 2)))))))))
(+.f64 (exp.f64 (.f64 2/3 (+.f64 (log.f64 a) (log.f64 x)))) (+.f64 (.f64 1/3 (.f64 a (.f64 x (exp.f64 (.f64 2/3 (+.f64 (log.f64 a) (log.f64 x))))))) (+.f64 (.f64 (pow.f64 x 2) (.f64 (exp.f64 (.f64 2/3 (+.f64 (log.f64 a) (log.f64 x)))) (+.f64 (.f64 1/18 (pow.f64 a 2)) (.f64 1/3 (+.f64 (.f64 -1/4 (pow.f64 a 2)) (.f64 1/3 (pow.f64 a 2))))))) (.f64 (pow.f64 x 3) (.f64 (exp.f64 (.f64 2/3 (+.f64 (log.f64 a) (log.f64 x)))) (+.f64 (.f64 1/162 (pow.f64 a 3)) (+.f64 (.f64 1/9 (.f64 a (+.f64 (.f64 -1/4 (pow.f64 a 2)) (.f64 1/3 (pow.f64 a 2))))) (.f64 1/9 (+.f64 (.f64 -1/2 (pow.f64 a 3)) (*.f64 1/2 (pow.f64 a 3)))))))))))
(pow.f64 (pow.f64 (-.f64 (exp.f64 (*.f64 a x)) 1) 2) 1/3)
(pow.f64 (pow.f64 (-.f64 (exp.f64 (*.f64 a x)) 1) 2) 1/3)
(pow.f64 (pow.f64 (-.f64 (exp.f64 (*.f64 a x)) 1) 2) 1/3)
(pow.f64 (pow.f64 (-.f64 (exp.f64 (*.f64 a x)) 1) 2) 1/3)
(pow.f64 (pow.f64 (-.f64 (exp.f64 (*.f64 a x)) 1) 2) 1/3)
(pow.f64 (pow.f64 (-.f64 (exp.f64 (*.f64 a x)) 1) 2) 1/3)
(pow.f64 (pow.f64 (-.f64 (exp.f64 (*.f64 a x)) 1) 2) 1/3)
(pow.f64 (pow.f64 (-.f64 (exp.f64 (*.f64 a x)) 1) 2) 1/3)
(+.f64 (.f64 a x) (.f64 (pow.f64 (*.f64 a x) 2) 1/2))
(+.f64 (.f64 a x) (.f64 (.f64 (pow.f64 (.f64 a x) 2) 1/2) 1))
(+.f64 (.f64 (pow.f64 (.f64 a x) 2) 1/2) (*.f64 a x))
(-.f64 (exp.f64 (log1p.f64 (.f64 a (.f64 x (fma.f64 a (*.f64 x 1/2) 1))))) 1)
(/.f64 (+.f64 (pow.f64 (.f64 a x) 3) (pow.f64 (.f64 (pow.f64 (.f64 a x) 2) 1/2) 3)) (+.f64 (pow.f64 (.f64 a x) 2) (-.f64 (.f64 (.f64 (pow.f64 (.f64 a x) 2) 1/2) (.f64 (pow.f64 (.f64 a x) 2) 1/2)) (.f64 (.f64 a x) (.f64 (pow.f64 (*.f64 a x) 2) 1/2)))))
(/.f64 (-.f64 (pow.f64 (.f64 a x) 2) (.f64 (.f64 (pow.f64 (.f64 a x) 2) 1/2) (.f64 (pow.f64 (.f64 a x) 2) 1/2))) (-.f64 (.f64 a x) (.f64 (pow.f64 (*.f64 a x) 2) 1/2)))
(/.f64 (.f64 (.f64 a x) (+.f64 1 (pow.f64 (.f64 a (.f64 x 1/2)) 3))) (+.f64 1 (-.f64 (pow.f64 (.f64 a (.f64 x 1/2)) 2) (.f64 a (.f64 x 1/2)))))
(/.f64 (.f64 (.f64 a x) (-.f64 1 (pow.f64 (.f64 a (.f64 x 1/2)) 2))) (-.f64 1 (.f64 a (.f64 x 1/2))))
(/.f64 (.f64 (+.f64 1 (pow.f64 (.f64 a (.f64 x 1/2)) 3)) (.f64 a x)) (+.f64 1 (-.f64 (pow.f64 (.f64 a (.f64 x 1/2)) 2) (.f64 a (.f64 x 1/2)))))
(/.f64 (.f64 (-.f64 1 (pow.f64 (.f64 a (.f64 x 1/2)) 2)) (.f64 a x)) (-.f64 1 (.f64 a (.f64 x 1/2))))
(pow.f64 (.f64 a (.f64 x (fma.f64 a (*.f64 x 1/2) 1))) 1)
(pow.f64 (cbrt.f64 (.f64 a (.f64 x (fma.f64 a (*.f64 x 1/2) 1)))) 3)
(pow.f64 (pow.f64 (.f64 a (.f64 x (fma.f64 a (*.f64 x 1/2) 1))) 3) 1/3)
(pow.f64 (sqrt.f64 (.f64 a (.f64 x (fma.f64 a (*.f64 x 1/2) 1)))) 2)
(sqrt.f64 (pow.f64 (.f64 a (.f64 x (fma.f64 a (*.f64 x 1/2) 1))) 2))
(log.f64 (pow.f64 (pow.f64 (exp.f64 x) a) (fma.f64 a (*.f64 x 1/2) 1)))
(log.f64 (+.f64 1 (expm1.f64 (.f64 a (.f64 x (fma.f64 a (*.f64 x 1/2) 1))))))
(cbrt.f64 (pow.f64 (.f64 a (.f64 x (fma.f64 a (*.f64 x 1/2) 1))) 3))
(cbrt.f64 (.f64 (pow.f64 (.f64 a x) 3) (pow.f64 (fma.f64 a (*.f64 x 1/2) 1) 3)))
(cbrt.f64 (.f64 (pow.f64 (fma.f64 a (.f64 x 1/2) 1) 3) (pow.f64 (*.f64 a x) 3)))
(expm1.f64 (log1p.f64 (.f64 a (.f64 x (fma.f64 a (*.f64 x 1/2) 1)))))
(exp.f64 (log.f64 (.f64 a (.f64 x (fma.f64 a (*.f64 x 1/2) 1)))))
(exp.f64 (.f64 (log.f64 (.f64 a (.f64 x (fma.f64 a (.f64 x 1/2) 1)))) 1))
(log1p.f64 (expm1.f64 (.f64 a (.f64 x (fma.f64 a (*.f64 x 1/2) 1)))))
(fma.f64 a x (.f64 (pow.f64 (.f64 a x) 2) 1/2))
(fma.f64 x a (.f64 (pow.f64 (.f64 a x) 2) 1/2))
(fma.f64 (.f64 a x) 1 (.f64 (pow.f64 (*.f64 a x) 2) 1/2))
(fma.f64 1 (.f64 a x) (.f64 (pow.f64 (*.f64 a x) 2) 1/2))
(fma.f64 (pow.f64 (cbrt.f64 (.f64 a x)) 2) (cbrt.f64 (.f64 a x)) (.f64 (pow.f64 (.f64 a x) 2) 1/2))
(fma.f64 (sqrt.f64 (.f64 a x)) (sqrt.f64 (.f64 a x)) (.f64 (pow.f64 (.f64 a x) 2) 1/2))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 a (*.f64 x 1/2) 1))) 1)
(-.f64 (/.f64 1 (-.f64 1 (.f64 a (.f64 x 1/2)))) (/.f64 (pow.f64 (.f64 a (.f64 x 1/2)) 2) (-.f64 1 (.f64 a (.f64 x 1/2)))))
(.f64 1 (fma.f64 a (.f64 x 1/2) 1))
(.f64 (fma.f64 a (.f64 x 1/2) 1) 1)
(.f64 (cbrt.f64 (fma.f64 a (.f64 x 1/2) 1)) (pow.f64 (cbrt.f64 (fma.f64 a (*.f64 x 1/2) 1)) 2))
(.f64 (pow.f64 (cbrt.f64 (fma.f64 a (.f64 x 1/2) 1)) 2) (cbrt.f64 (fma.f64 a (*.f64 x 1/2) 1)))
(.f64 (sqrt.f64 (fma.f64 a (.f64 x 1/2) 1)) (sqrt.f64 (fma.f64 a (*.f64 x 1/2) 1)))
(.f64 (+.f64 1 (pow.f64 (.f64 a (.f64 x 1/2)) 3)) (/.f64 1 (+.f64 1 (-.f64 (pow.f64 (.f64 a (.f64 x 1/2)) 2) (.f64 a (*.f64 x 1/2))))))
(.f64 (-.f64 1 (pow.f64 (.f64 a (.f64 x 1/2)) 2)) (/.f64 1 (-.f64 1 (.f64 a (*.f64 x 1/2)))))
(/.f64 1 (/.f64 (+.f64 1 (-.f64 (pow.f64 (.f64 a (.f64 x 1/2)) 2) (.f64 a (.f64 x 1/2)))) (+.f64 1 (pow.f64 (.f64 a (.f64 x 1/2)) 3))))
(/.f64 1 (/.f64 (-.f64 1 (.f64 a (.f64 x 1/2))) (-.f64 1 (pow.f64 (.f64 a (.f64 x 1/2)) 2))))
(/.f64 (+.f64 1 (pow.f64 (.f64 a (.f64 x 1/2)) 3)) (+.f64 1 (-.f64 (pow.f64 (.f64 a (.f64 x 1/2)) 2) (.f64 a (.f64 x 1/2)))))
(/.f64 (+.f64 1 (pow.f64 (.f64 a (.f64 x 1/2)) 3)) (+.f64 (pow.f64 (.f64 a (.f64 x 1/2)) 2) (-.f64 1 (.f64 a (.f64 x 1/2)))))
(/.f64 (-.f64 1 (pow.f64 (.f64 a (.f64 x 1/2)) 2)) (-.f64 1 (.f64 a (.f64 x 1/2))))
(/.f64 (neg.f64 (+.f64 1 (pow.f64 (.f64 a (.f64 x 1/2)) 3))) (neg.f64 (+.f64 1 (-.f64 (pow.f64 (.f64 a (.f64 x 1/2)) 2) (.f64 a (.f64 x 1/2))))))
(/.f64 (neg.f64 (-.f64 1 (pow.f64 (.f64 a (.f64 x 1/2)) 2))) (neg.f64 (-.f64 1 (.f64 a (.f64 x 1/2)))))
(/.f64 (-.f64 (pow.f64 (.f64 a (.f64 x 1/2)) 2) 1) (-.f64 (.f64 a (.f64 x 1/2)) 1))
(pow.f64 (fma.f64 a (*.f64 x 1/2) 1) 1)
(pow.f64 (cbrt.f64 (fma.f64 a (*.f64 x 1/2) 1)) 3)
(pow.f64 (pow.f64 (fma.f64 a (*.f64 x 1/2) 1) 3) 1/3)
(pow.f64 (sqrt.f64 (fma.f64 a (*.f64 x 1/2) 1)) 2)
(sqrt.f64 (pow.f64 (fma.f64 a (*.f64 x 1/2) 1) 2))
(log.f64 (exp.f64 (fma.f64 a (*.f64 x 1/2) 1)))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 a (*.f64 x 1/2) 1))))
(cbrt.f64 (pow.f64 (fma.f64 a (*.f64 x 1/2) 1) 3))
(expm1.f64 (log1p.f64 (fma.f64 a (*.f64 x 1/2) 1)))
(exp.f64 (log1p.f64 (.f64 a (.f64 x 1/2))))
(exp.f64 (.f64 (log1p.f64 (.f64 a (*.f64 x 1/2))) 1))
(log1p.f64 (expm1.f64 (fma.f64 a (*.f64 x 1/2) 1)))
(fma.f64 a (*.f64 x 1/2) 1)
(fma.f64 (*.f64 a x) 1/2 1)
(fma.f64 1 (.f64 a (.f64 x 1/2)) 1)
(fma.f64 (*.f64 x 1/2) a 1)
(fma.f64 (pow.f64 (cbrt.f64 (.f64 a (.f64 x 1/2))) 2) (cbrt.f64 (.f64 a (.f64 x 1/2))) 1)
(fma.f64 (sqrt.f64 (.f64 a (.f64 x 1/2))) (sqrt.f64 (.f64 a (.f64 x 1/2))) 1)
(-.f64 (exp.f64 (log1p.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))))) 1)
(.f64 1 (cbrt.f64 (expm1.f64 (.f64 a x))))
(.f64 (cbrt.f64 (expm1.f64 (.f64 a x))) 1)
(.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 (.f64 a x)))) (cbrt.f64 (cbrt.f64 (pow.f64 (expm1.f64 (*.f64 a x)) 2))))
(.f64 (cbrt.f64 (cbrt.f64 (pow.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 1 1/3) (cbrt.f64 (expm1.f64 (.f64 a x))))
(.f64 (pow.f64 (cbrt.f64 (pow.f64 (expm1.f64 (.f64 a x)) 2)) 1/3) (cbrt.f64 (cbrt.f64 (expm1.f64 (*.f64 a x)))))
(.f64 (pow.f64 (sqrt.f64 (expm1.f64 (.f64 a x))) 1/3) (pow.f64 (sqrt.f64 (expm1.f64 (*.f64 a x))) 1/3))
(pow.f64 (expm1.f64 (*.f64 a x)) 1/3)
(pow.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))) 1)
(pow.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 (*.f64 a x)))) 3)
(pow.f64 (pow.f64 (expm1.f64 (*.f64 a x)) 1/6) 2)
(sqrt.f64 (cbrt.f64 (pow.f64 (expm1.f64 (*.f64 a x)) 2)))
(log.f64 (exp.f64 (cbrt.f64 (expm1.f64 (*.f64 a x)))))
(log.f64 (+.f64 1 (expm1.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 (expm1.f64 (.f64 a x))) 1/3))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (expm1.f64 (.f64 a x)))) 1))
(log1p.f64 (expm1.f64 (cbrt.f64 (expm1.f64 (*.f64 a x)))))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (exp.f64 2/3) (log.f64 (expm1.f64 (*.f64 a x)))))) 1)
(.f64 1 (pow.f64 (exp.f64 2/3) (log.f64 (expm1.f64 (.f64 a x)))))
(.f64 (pow.f64 (exp.f64 2/3) (log.f64 (expm1.f64 (.f64 a x)))) 1)
(.f64 (cbrt.f64 (pow.f64 (exp.f64 2/3) (log.f64 (expm1.f64 (.f64 a x))))) (cbrt.f64 (pow.f64 (exp.f64 4/3) (log.f64 (expm1.f64 (*.f64 a x))))))
(.f64 (cbrt.f64 (pow.f64 (exp.f64 4/3) (log.f64 (expm1.f64 (.f64 a x))))) (cbrt.f64 (pow.f64 (exp.f64 2/3) (log.f64 (expm1.f64 (*.f64 a x))))))
(.f64 (sqrt.f64 (pow.f64 (exp.f64 2/3) (log.f64 (expm1.f64 (.f64 a x))))) (sqrt.f64 (pow.f64 (exp.f64 2/3) (log.f64 (expm1.f64 (*.f64 a x))))))
(.f64 (pow.f64 1 (log.f64 (expm1.f64 (.f64 a x)))) (pow.f64 (exp.f64 2/3) (log.f64 (expm1.f64 (*.f64 a x)))))
(.f64 (pow.f64 (cbrt.f64 (exp.f64 4/3)) (log.f64 (expm1.f64 (.f64 a x)))) (pow.f64 (cbrt.f64 (exp.f64 2/3)) (log.f64 (expm1.f64 (*.f64 a x)))))
(.f64 (pow.f64 (sqrt.f64 (exp.f64 2/3)) (log.f64 (expm1.f64 (.f64 a x)))) (pow.f64 (sqrt.f64 (exp.f64 2/3)) (log.f64 (expm1.f64 (*.f64 a x)))))
(sqrt.f64 (pow.f64 (exp.f64 4/3) (log.f64 (expm1.f64 (*.f64 a x)))))
(log.f64 (exp.f64 (pow.f64 (exp.f64 2/3) (log.f64 (expm1.f64 (*.f64 a x))))))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (exp.f64 2/3) (log.f64 (expm1.f64 (*.f64 a x)))))))
(cbrt.f64 (pow.f64 (pow.f64 (exp.f64 2/3) (log.f64 (expm1.f64 (*.f64 a x)))) 3))
(expm1.f64 (log1p.f64 (pow.f64 (exp.f64 2/3) (log.f64 (expm1.f64 (*.f64 a x))))))
(exp.f64 (.f64 (log.f64 (expm1.f64 (.f64 a x))) 2/3))
(exp.f64 (.f64 (.f64 (log.f64 (expm1.f64 (*.f64 a x))) 2/3) 1))
(log1p.f64 (expm1.f64 (pow.f64 (exp.f64 2/3) (log.f64 (expm1.f64 (*.f64 a x))))))
(-.f64 (exp.f64 (log1p.f64 (exp.f64 2/3))) 1)
(*.f64 1 (exp.f64 2/3))
(*.f64 (exp.f64 2/3) 1)
(*.f64 (cbrt.f64 (exp.f64 2/3)) (cbrt.f64 (exp.f64 4/3)))
(*.f64 (cbrt.f64 (exp.f64 4/3)) (cbrt.f64 (exp.f64 2/3)))
(*.f64 (sqrt.f64 (exp.f64 2/3)) (sqrt.f64 (exp.f64 2/3)))
(pow.f64 (exp.f64 2/3) 1)
(pow.f64 (cbrt.f64 (exp.f64 2/3)) 3)
(pow.f64 (pow.f64 (exp.f64 2/3) 3) 1/3)
(pow.f64 (sqrt.f64 (exp.f64 2/3)) 2)
(sqrt.f64 (exp.f64 4/3))
(log.f64 (exp.f64 (exp.f64 2/3)))
(log.f64 (+.f64 1 (expm1.f64 (exp.f64 2/3))))
(cbrt.f64 (pow.f64 (exp.f64 2/3) 3))
(expm1.f64 (log1p.f64 (exp.f64 2/3)))
(log1p.f64 (expm1.f64 (exp.f64 2/3)))

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

eval78.0ms (2%)

Compiler: Compiled 5536 to 2817 computations (49.1% saved)

prune41.0ms (1.1%)

Pruning

9 alts after pruning (3 fresh and 6 done)

	Pruned	Kept	Total
New	239	3	242
Fresh	0	0	0
Picked	0	2	2
Done	1	4	5
Total	240	9	249

Accuracy

100.0%

Counts

249 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	38.6%	(pow.f64 (E.f64) (log.f64 (expm1.f64 (*.f64 a x))))
▶	38.3%	(.f64 (pow.f64 (exp.f64 2/3) (log.f64 (expm1.f64 (.f64 a x)))) (pow.f64 (expm1.f64 (*.f64 a x)) 1/3))
✓	38.5%	(.f64 (pow.f64 (exp.f64 2/3) (log.f64 (expm1.f64 (.f64 a x)))) (cbrt.f64 (expm1.f64 (*.f64 a x))))
✓	63.4%	(.f64 (.f64 a x) (+.f64 1 (.f64 a (.f64 x 1/2))))
▶	21.4%	(.f64 (.f64 a x) (.f64 a (.f64 x 1/2)))
▶	63.4%	(.f64 x (.f64 a (fma.f64 a (*.f64 x 1/2) 1)))
✓	64.2%	(*.f64 a x)
✓	99.9%	(expm1.f64 (*.f64 a x))
✓	75.1%	(cbrt.f64 (pow.f64 (expm1.f64 (*.f64 a x)) 3))
✓	38.6%	(pow.f64 (E.f64) (log.f64 (expm1.f64 (*.f64 a x))))
▶	38.3%	(.f64 (pow.f64 (exp.f64 2/3) (log.f64 (expm1.f64 (.f64 a x)))) (pow.f64 (expm1.f64 (*.f64 a x)) 1/3))
✓	38.5%	(.f64 (pow.f64 (exp.f64 2/3) (log.f64 (expm1.f64 (.f64 a x)))) (cbrt.f64 (expm1.f64 (*.f64 a x))))
✓	63.4%	(.f64 (.f64 a x) (+.f64 1 (.f64 a (.f64 x 1/2))))
▶	21.4%	(.f64 (.f64 a x) (.f64 a (.f64 x 1/2)))
▶	63.4%	(.f64 x (.f64 a (fma.f64 a (*.f64 x 1/2) 1)))
✓	64.2%	(*.f64 a x)
✓	99.9%	(expm1.f64 (*.f64 a x))
✓	75.1%	(cbrt.f64 (pow.f64 (expm1.f64 (*.f64 a x)) 3))

Compiler

Compiled 196 to 132 computations (32.7% saved)

localize116.0ms (3%)

Localize:

Found 6 expressions with local error:

New	Accuracy	Program
	99.5%	(exp.f64 2/3)
	97.2%	(pow.f64 (exp.f64 2/3) (log.f64 (expm1.f64 (*.f64 a x))))
	91.3%	(log.f64 (expm1.f64 (*.f64 a x)))
✓	89.8%	(pow.f64 (expm1.f64 (*.f64 a x)) 1/3)
✓	99.9%	(.f64 (.f64 a x) (.f64 a (.f64 x 1/2)))
✓	100.0%	(.f64 a (fma.f64 a (.f64 x 1/2) 1))

Compiler

Compiled 104 to 50 computations (51.9% saved)

series6.0ms (0.1%)

Counts

3 → 64

Calls

18 calls:

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

rewrite79.0ms (2%)

Algorithm

1×	batch-egg-rewrite

Rules

1188×	`log-prod`
886×	`log1p-expm1-u`
885×	`expm1-log1p-u`
460×	`pow-exp`
356×	`log-pow`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	20	88
1	215	76
2	2513	76

Stop Event

1×	node limit

Counts

3 → 74

Calls

Call 1

Inputs
(.f64 a (fma.f64 a (.f64 x 1/2) 1))
(.f64 (.f64 a x) (.f64 a (.f64 x 1/2)))
(pow.f64 (expm1.f64 (*.f64 a x)) 1/3)

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

simplify75.0ms (1.9%)

Algorithm

1×	egg-herbie

Rules

1050×	`log-prod`
872×	`fma-def`
710×	`unswap-sqr`
698×	`distribute-lft-in`
680×	`distribute-rgt-in`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	206	4226
1	420	3677
2	1254	3552
3	5186	3552

Stop Event

1×	node limit

Counts

138 → 94

Calls

Call 1

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

Outputs
a
(+.f64 a (.f64 1/2 (.f64 (pow.f64 a 2) x)))
(.f64 a (fma.f64 a (.f64 1/2 x) 1))
(fma.f64 (pow.f64 a 2) (*.f64 1/2 x) a)
(+.f64 a (.f64 1/2 (.f64 (pow.f64 a 2) x)))
(.f64 a (fma.f64 a (.f64 1/2 x) 1))
(fma.f64 (pow.f64 a 2) (*.f64 1/2 x) a)
(+.f64 a (.f64 1/2 (.f64 (pow.f64 a 2) x)))
(.f64 a (fma.f64 a (.f64 1/2 x) 1))
(fma.f64 (pow.f64 a 2) (*.f64 1/2 x) a)
(.f64 1/2 (.f64 (pow.f64 a 2) x))
(.f64 (pow.f64 a 2) (.f64 1/2 x))
(+.f64 a (.f64 1/2 (.f64 (pow.f64 a 2) x)))
(.f64 a (fma.f64 a (.f64 1/2 x) 1))
(fma.f64 (pow.f64 a 2) (*.f64 1/2 x) a)
(+.f64 a (.f64 1/2 (.f64 (pow.f64 a 2) x)))
(.f64 a (fma.f64 a (.f64 1/2 x) 1))
(fma.f64 (pow.f64 a 2) (*.f64 1/2 x) a)
(+.f64 a (.f64 1/2 (.f64 (pow.f64 a 2) x)))
(.f64 a (fma.f64 a (.f64 1/2 x) 1))
(fma.f64 (pow.f64 a 2) (*.f64 1/2 x) a)
(.f64 1/2 (.f64 (pow.f64 a 2) x))
(.f64 (pow.f64 a 2) (.f64 1/2 x))
(+.f64 a (.f64 1/2 (.f64 (pow.f64 a 2) x)))
(.f64 a (fma.f64 a (.f64 1/2 x) 1))
(fma.f64 (pow.f64 a 2) (*.f64 1/2 x) a)
(+.f64 a (.f64 1/2 (.f64 (pow.f64 a 2) x)))
(.f64 a (fma.f64 a (.f64 1/2 x) 1))
(fma.f64 (pow.f64 a 2) (*.f64 1/2 x) a)
(+.f64 a (.f64 1/2 (.f64 (pow.f64 a 2) x)))
(.f64 a (fma.f64 a (.f64 1/2 x) 1))
(fma.f64 (pow.f64 a 2) (*.f64 1/2 x) a)
a
(+.f64 a (.f64 1/2 (.f64 (pow.f64 a 2) x)))
(.f64 a (fma.f64 a (.f64 1/2 x) 1))
(fma.f64 (pow.f64 a 2) (*.f64 1/2 x) a)
(+.f64 a (.f64 1/2 (.f64 (pow.f64 a 2) x)))
(.f64 a (fma.f64 a (.f64 1/2 x) 1))
(fma.f64 (pow.f64 a 2) (*.f64 1/2 x) a)
(+.f64 a (.f64 1/2 (.f64 (pow.f64 a 2) x)))
(.f64 a (fma.f64 a (.f64 1/2 x) 1))
(fma.f64 (pow.f64 a 2) (*.f64 1/2 x) a)
(.f64 1/2 (.f64 (pow.f64 a 2) x))
(.f64 (pow.f64 a 2) (.f64 1/2 x))
(+.f64 a (.f64 1/2 (.f64 (pow.f64 a 2) x)))
(.f64 a (fma.f64 a (.f64 1/2 x) 1))
(fma.f64 (pow.f64 a 2) (*.f64 1/2 x) a)
(+.f64 a (.f64 1/2 (.f64 (pow.f64 a 2) x)))
(.f64 a (fma.f64 a (.f64 1/2 x) 1))
(fma.f64 (pow.f64 a 2) (*.f64 1/2 x) a)
(+.f64 a (.f64 1/2 (.f64 (pow.f64 a 2) x)))
(.f64 a (fma.f64 a (.f64 1/2 x) 1))
(fma.f64 (pow.f64 a 2) (*.f64 1/2 x) a)
(.f64 1/2 (.f64 (pow.f64 a 2) x))
(.f64 (pow.f64 a 2) (.f64 1/2 x))
(+.f64 a (.f64 1/2 (.f64 (pow.f64 a 2) x)))
(.f64 a (fma.f64 a (.f64 1/2 x) 1))
(fma.f64 (pow.f64 a 2) (*.f64 1/2 x) a)
(+.f64 a (.f64 1/2 (.f64 (pow.f64 a 2) x)))
(.f64 a (fma.f64 a (.f64 1/2 x) 1))
(fma.f64 (pow.f64 a 2) (*.f64 1/2 x) a)
(+.f64 a (.f64 1/2 (.f64 (pow.f64 a 2) x)))
(.f64 a (fma.f64 a (.f64 1/2 x) 1))
(fma.f64 (pow.f64 a 2) (*.f64 1/2 x) a)
(.f64 1/2 (.f64 (pow.f64 a 2) (pow.f64 x 2)))
(.f64 1/2 (pow.f64 (.f64 a x) 2))
(.f64 1/2 (.f64 (pow.f64 a 2) (pow.f64 x 2)))
(.f64 1/2 (pow.f64 (.f64 a x) 2))
(.f64 1/2 (.f64 (pow.f64 a 2) (pow.f64 x 2)))
(.f64 1/2 (pow.f64 (.f64 a x) 2))
(.f64 1/2 (.f64 (pow.f64 a 2) (pow.f64 x 2)))
(.f64 1/2 (pow.f64 (.f64 a x) 2))
(.f64 1/2 (.f64 (pow.f64 a 2) (pow.f64 x 2)))
(.f64 1/2 (pow.f64 (.f64 a x) 2))
(.f64 1/2 (.f64 (pow.f64 a 2) (pow.f64 x 2)))
(.f64 1/2 (pow.f64 (.f64 a x) 2))
(.f64 1/2 (.f64 (pow.f64 a 2) (pow.f64 x 2)))
(.f64 1/2 (pow.f64 (.f64 a x) 2))
(.f64 1/2 (.f64 (pow.f64 a 2) (pow.f64 x 2)))
(.f64 1/2 (pow.f64 (.f64 a x) 2))
(.f64 1/2 (.f64 (pow.f64 a 2) (pow.f64 x 2)))
(.f64 1/2 (pow.f64 (.f64 a x) 2))
(.f64 1/2 (.f64 (pow.f64 a 2) (pow.f64 x 2)))
(.f64 1/2 (pow.f64 (.f64 a x) 2))
(.f64 1/2 (.f64 (pow.f64 a 2) (pow.f64 x 2)))
(.f64 1/2 (pow.f64 (.f64 a x) 2))
(.f64 1/2 (.f64 (pow.f64 a 2) (pow.f64 x 2)))
(.f64 1/2 (pow.f64 (.f64 a x) 2))
(.f64 1/2 (.f64 (pow.f64 a 2) (pow.f64 x 2)))
(.f64 1/2 (pow.f64 (.f64 a x) 2))
(.f64 1/2 (.f64 (pow.f64 a 2) (pow.f64 x 2)))
(.f64 1/2 (pow.f64 (.f64 a x) 2))
(.f64 1/2 (.f64 (pow.f64 a 2) (pow.f64 x 2)))
(.f64 1/2 (pow.f64 (.f64 a x) 2))
(.f64 1/2 (.f64 (pow.f64 a 2) (pow.f64 x 2)))
(.f64 1/2 (pow.f64 (.f64 a x) 2))
(.f64 1/2 (.f64 (pow.f64 a 2) (pow.f64 x 2)))
(.f64 1/2 (pow.f64 (.f64 a x) 2))
(.f64 1/2 (.f64 (pow.f64 a 2) (pow.f64 x 2)))
(.f64 1/2 (pow.f64 (.f64 a x) 2))
(.f64 1/2 (.f64 (pow.f64 a 2) (pow.f64 x 2)))
(.f64 1/2 (pow.f64 (.f64 a x) 2))
(.f64 1/2 (.f64 (pow.f64 a 2) (pow.f64 x 2)))
(.f64 1/2 (pow.f64 (.f64 a x) 2))
(.f64 1/2 (.f64 (pow.f64 a 2) (pow.f64 x 2)))
(.f64 1/2 (pow.f64 (.f64 a x) 2))
(.f64 1/2 (.f64 (pow.f64 a 2) (pow.f64 x 2)))
(.f64 1/2 (pow.f64 (.f64 a x) 2))
(.f64 1/2 (.f64 (pow.f64 a 2) (pow.f64 x 2)))
(.f64 1/2 (pow.f64 (.f64 a x) 2))
(.f64 1/2 (.f64 (pow.f64 a 2) (pow.f64 x 2)))
(.f64 1/2 (pow.f64 (.f64 a x) 2))
(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)))
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(pow.f64 (pow.f64 (.f64 a (fma.f64 a (.f64 x 1/2) 1)) 3) 1/3)
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(.f64 1/2 (.f64 (pow.f64 a 2) (pow.f64 x 2)))
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(.f64 1/2 (.f64 (pow.f64 a 2) (pow.f64 x 2)))
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(.f64 1/2 (.f64 (pow.f64 a 2) (pow.f64 x 2)))
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(.f64 1/2 (.f64 (pow.f64 a 2) (pow.f64 x 2)))
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(.f64 1/2 (.f64 (pow.f64 a 2) (pow.f64 x 2)))
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(.f64 1/2 (.f64 (pow.f64 a 2) (pow.f64 x 2)))
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(.f64 1/2 (.f64 (pow.f64 a 2) (pow.f64 x 2)))
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(.f64 1/2 (.f64 (pow.f64 a 2) (pow.f64 x 2)))
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(.f64 1/2 (.f64 (pow.f64 a 2) (pow.f64 x 2)))
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(.f64 1/2 (.f64 (pow.f64 a 2) (pow.f64 x 2)))
(.f64 1/2 (pow.f64 (.f64 a x) 2))
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(.f64 1/2 (.f64 (pow.f64 a 2) (pow.f64 x 2)))
(.f64 1/2 (pow.f64 (.f64 a x) 2))
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(.f64 1/2 (.f64 (pow.f64 a 2) (pow.f64 x 2)))
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(.f64 1/2 (.f64 (pow.f64 a 2) (pow.f64 x 2)))
(.f64 1/2 (pow.f64 (.f64 a x) 2))
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(.f64 1/2 (.f64 (pow.f64 a 2) (pow.f64 x 2)))
(.f64 1/2 (pow.f64 (.f64 a x) 2))
(exp.f64 (.f64 (.f64 3 (log.f64 (.f64 (pow.f64 (.f64 a x) 2) 1/2))) 1/3))
(.f64 1/2 (.f64 (pow.f64 a 2) (pow.f64 x 2)))
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(.f64 1/2 (.f64 (pow.f64 a 2) (pow.f64 x 2)))
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(.f64 (cbrt.f64 (expm1.f64 (.f64 a x))) 1)
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(.f64 (cbrt.f64 (expm1.f64 (.f64 a x))) (log.f64 (exp.f64 1)))
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(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 (exp.f64 (.f64 (.f64 2/3 (log.f64 (expm1.f64 (.f64 a x)))) 1/3)) (cbrt.f64 (cbrt.f64 (expm1.f64 (*.f64 a x)))))
(.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 (.f64 a x)))) (exp.f64 (.f64 1/3 (.f64 2/3 (log.f64 (expm1.f64 (*.f64 a x)))))))
(.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 (.f64 a x)))) (exp.f64 (.f64 (log.f64 (expm1.f64 (.f64 a x))) 2/9)))
(.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 (.f64 a x)))) (pow.f64 (exp.f64 2/9) (log.f64 (expm1.f64 (*.f64 a x)))))
(.f64 (exp.f64 (.f64 (log.f64 (sqrt.f64 (expm1.f64 (.f64 a x)))) 1/3)) (exp.f64 (.f64 (log.f64 (sqrt.f64 (expm1.f64 (*.f64 a x)))) 1/3)))
(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)))
(log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))))))
(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 (expm1.f64 (.f64 a x)))) 1))
(cbrt.f64 (expm1.f64 (*.f64 a x)))
(exp.f64 (.f64 (.f64 (log.f64 (expm1.f64 (*.f64 a x))) 1) 1/3))
(cbrt.f64 (expm1.f64 (*.f64 a x)))
(exp.f64 (.f64 (.f64 (log.f64 (cbrt.f64 (expm1.f64 (*.f64 a x)))) 1) 1))
(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 2 (log.f64 (expm1.f64 (*.f64 a x)))) 1/6))
(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 (log.f64 (expm1.f64 (*.f64 a x))) 1/6) 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)))

eval87.0ms (2.2%)

Compiler: Compiled 5063 to 2695 computations (46.8% saved)

prune37.0ms (0.9%)

Pruning

9 alts after pruning (1 fresh and 8 done)

	Pruned	Kept	Total
New	218	1	219
Fresh	0	0	0
Picked	1	2	3
Done	0	6	6
Total	219	9	228

Accuracy

100.0%

Counts

228 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	38.6%	(pow.f64 (E.f64) (log.f64 (expm1.f64 (*.f64 a x))))
✓	38.3%	(.f64 (pow.f64 (exp.f64 2/3) (log.f64 (expm1.f64 (.f64 a x)))) (pow.f64 (expm1.f64 (*.f64 a x)) 1/3))
✓	38.5%	(.f64 (pow.f64 (exp.f64 2/3) (log.f64 (expm1.f64 (.f64 a x)))) (cbrt.f64 (expm1.f64 (*.f64 a x))))
✓	63.4%	(.f64 (.f64 a x) (+.f64 1 (.f64 a (.f64 x 1/2))))
✓	21.4%	(.f64 (.f64 a x) (.f64 a (.f64 x 1/2)))
	63.4%	(.f64 x (+.f64 (.f64 (.f64 a (.f64 x 1/2)) a) a))
✓	64.2%	(*.f64 a x)
✓	99.9%	(expm1.f64 (*.f64 a x))
✓	75.1%	(cbrt.f64 (pow.f64 (expm1.f64 (*.f64 a x)) 3))

Compiler

Compiled 209 to 119 computations (43.1% saved)

regimes28.0ms (0.7%)

Counts

12 → 1

Calls

Call 1

Inputs
(*.f64 a x)
(.f64 (.f64 a x) (.f64 a (.f64 x 1/2)))
(.f64 x (+.f64 (.f64 (.f64 a (.f64 x 1/2)) a) a))
(.f64 (.f64 a x) (+.f64 1 (.f64 a (.f64 x 1/2))))
(expm1.f64 (*.f64 a x))
(-.f64 (exp.f64 (*.f64 a x)) 1)
(.f64 x (.f64 a (fma.f64 a (*.f64 x 1/2) 1)))
(.f64 x (+.f64 a (.f64 x (*.f64 1/2 (pow.f64 a 2)))))
(cbrt.f64 (pow.f64 (expm1.f64 (*.f64 a x)) 3))
(pow.f64 (E.f64) (log.f64 (expm1.f64 (*.f64 a x))))
(.f64 (pow.f64 (exp.f64 2/3) (log.f64 (expm1.f64 (.f64 a x)))) (cbrt.f64 (expm1.f64 (*.f64 a x))))
(.f64 (pow.f64 (exp.f64 2/3) (log.f64 (expm1.f64 (.f64 a x)))) (pow.f64 (expm1.f64 (*.f64 a x)) 1/3))

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

Calls

5 calls:

8.0ms	x
7.0ms	a
5.0ms	(*.f64 a x)
2.0ms	(-.f64 (exp.f64 (*.f64 a x)) 1)
2.0ms	(exp.f64 (*.f64 a x))

Results

Accuracy	Segments	Branch
99.9%	1	`a`
99.9%	1	`x`
99.9%	1	`(-.f64 (exp.f64 (*.f64 a x)) 1)`
99.9%	1	`(exp.f64 (*.f64 a x))`
99.9%	1	`(*.f64 a x)`

Compiler

Compiled 135 to 70 computations (48.1% saved)

regimes12.0ms (0.3%)

Accuracy

Total -27.4b remaining (-119.6%)

Threshold costs -27.4b (-119.6%)

Counts

4 → 1

Calls

Call 1

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

Outputs
(*.f64 a x)

Calls

3 calls:

4.0ms	(*.f64 a x)
4.0ms	a
4.0ms	x

Results

Accuracy	Segments	Branch
64.2%	1	`a`
64.2%	1	`x`
64.2%	1	`(*.f64 a x)`

Compiler

Compiled 47 to 26 computations (44.7% saved)

simplify2.0ms (0%)

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×	fuel
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)

soundness83.0ms (2.1%)

Rules

1156×	`distribute-lft-in`
1114×	`distribute-rgt-in`
862×	`fma-neg`
760×	`associate-/r*`
758×	`associate-*r/`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	23	93
1	49	93
2	78	93
3	152	93
4	332	93
5	860	93
6	2814	93
7	7876	93

Stop Event

1×	node limit

Compiler

Compiled 12 to 7 computations (41.7% saved)

end0.0ms (0%)

preprocess32.0ms (0.8%)

Remove: (sort a x)
Compiler: Compiled 58 to 36 computations (37.9% saved)

analyze21.0ms (0.5%)

sample1.6s (41.3%)

preprocess125.0ms (3.2%)

eval0.0ms (0%)

prune1.0ms (0%)

localize23.0ms (0.6%)

series1.0ms (0%)

rewrite90.0ms (2.3%)

simplify61.0ms (1.6%)

eval17.0ms (0.4%)

prune20.0ms (0.5%)

localize116.0ms (3%)

series119.0ms (3%)

rewrite93.0ms (2.4%)

simplify122.0ms (3.1%)

eval173.0ms (4.5%)

prune318.0ms (8.2%)

localize87.0ms (2.2%)

series36.0ms (0.9%)

rewrite94.0ms (2.4%)

simplify94.0ms (2.4%)

eval78.0ms (2%)

prune41.0ms (1.1%)

localize116.0ms (3%)

series6.0ms (0.1%)

rewrite79.0ms (2%)

simplify75.0ms (1.9%)

eval87.0ms (2.2%)

prune37.0ms (0.9%)

regimes28.0ms (0.7%)

regimes12.0ms (0.3%)

simplify2.0ms (0%)

soundness83.0ms (2.1%)

end0.0ms (0%)

preprocess32.0ms (0.8%)

Profiling