Metrics for expax (section 3.5)

analyze35.0ms (1%)

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)

Operations

Operation ival-sub

Operation ival-mult

Operation ival-exp

Operation ival->

Operation const

sample2.2s (62.2%)

Results

956.0ms	2167×	body	1024	valid
722.0ms	3949×	body	256	valid
496.0ms	2140×	body	512	valid
35.0ms	307×	body	256	precondition

Operations

Operation ival-sub

Operation ival-mult

Operation ival-exp

Operation ival->

Operation const

Bogosity

preprocess125.0ms (3.5%)

Algorithm

1×	egg-herbie

Rules

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

Problems

130×	No Errors
125×	`(-.f64 (exp.f64 (*.f64 a x)) 1)`
1×	`(exp.f64 (*.f64 a x))`

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Calls

Call 1

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

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

Symmetry

(sort a x)

Compiler

Compiled 27 to 14 computations (48.1% saved)

Operations

Operation ival-sub

Operation ival-mult

Operation ival-exp

Operation const

eval0.0ms (0%)

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

prune1.0ms (0%)

Alt Table

Click to see full alt table

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

Compiler

Compiled 12 to 8 computations (33.3% saved)

localize24.0ms (0.7%)

Localize:

Found 1 expressions with local error:

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

Compiler

Compiled 12 to 5 computations (58.3% saved)

Operations

Operation ival-mult

Operation ival-expm1

Operation const

series2.0ms (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))

rewrite98.0ms (2.8%)

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)

simplify59.0ms (1.7%)

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))

eval18.0ms (0.5%)

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

prune16.0ms (0.4%)

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
▶	42.8%	(pow.f64 (sqrt.f64 (expm1.f64 (*.f64 a x))) 2)
▶	64.8%	(.f64 x (+.f64 a (.f64 x (*.f64 1/2 (pow.f64 a 2)))))
▶	68.1%	(*.f64 a x)
✓	100.0%	(expm1.f64 (*.f64 a x))
▶	40.9%	(exp.f64 (log.f64 (expm1.f64 (*.f64 a x))))
▶	42.8%	(pow.f64 (sqrt.f64 (expm1.f64 (*.f64 a x))) 2)
▶	64.8%	(.f64 x (+.f64 a (.f64 x (*.f64 1/2 (pow.f64 a 2)))))
▶	68.1%	(*.f64 a x)
✓	100.0%	(expm1.f64 (*.f64 a x))
▶	40.9%	(exp.f64 (log.f64 (expm1.f64 (*.f64 a x))))

Compiler

Compiled 82 to 58 computations (29.3% saved)

localize145.0ms (4.1%)

Localize:

Found 8 expressions with local error:

New	Accuracy	Program
	100.0%	(expm1.f64 (*.f64 a x))
✓	99.8%	(pow.f64 (sqrt.f64 (expm1.f64 (*.f64 a x))) 2)
✓	90.7%	(sqrt.f64 (expm1.f64 (*.f64 a x)))
✓	100.0%	(.f64 x (+.f64 a (.f64 x (*.f64 1/2 (pow.f64 a 2)))))
✓	97.5%	(.f64 x (.f64 1/2 (pow.f64 a 2)))
	100.0%	(expm1.f64 (*.f64 a x))
✓	97.9%	(exp.f64 (log.f64 (expm1.f64 (*.f64 a x))))
✓	90.6%	(log.f64 (expm1.f64 (*.f64 a x)))

Compiler

Compiled 89 to 37 computations (58.4% saved)

Operations

Operation ival-sqrt

Operation ival-pow

Operation ival-mult

Operation ival-log

Operation ival-expm1

Operation ival-exp

Operation ival-add

Operation const

series104.0ms (2.9%)

Counts

6 → 128

Calls

36 calls:

Time	Variable		Point	Expression
25.0ms	a	@	inf	(log.f64 (expm1.f64 (*.f64 a x)))
20.0ms	a	@	-inf	(log.f64 (expm1.f64 (*.f64 a x)))
19.0ms	x	@	-inf	(log.f64 (expm1.f64 (*.f64 a x)))
14.0ms	x	@	inf	(.f64 x (.f64 1/2 (pow.f64 a 2)))
12.0ms	x	@	inf	(log.f64 (expm1.f64 (*.f64 a x)))

rewrite219.0ms (6.1%)

Algorithm

1×	batch-egg-rewrite

Rules

1244×	`log-prod`
906×	`fma-def`
659×	`log1p-expm1-u`
658×	`expm1-log1p-u`
400×	`log-pow`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	21	144
1	264	140
2	3122	140

Stop Event

1×	node limit

Counts

6 → 222

Calls

Call 1

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

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

simplify137.0ms (3.8%)

Algorithm

1×	egg-herbie

Rules

884×	`associate-r`
850×	`log-prod`
770×	`associate-l`
542×	`cancel-sign-sub-inv`
534×	`exp-prod`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	464	12117
1	1064	11018
2	4299	10970

Stop Event

1×	node limit

Counts

350 → 264

Calls

Call 1

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

eval167.0ms (4.7%)

Compiler: Compiled 9289 to 4860 computations (47.7% saved)

prune61.0ms (1.7%)

Pruning

5 alts after pruning (0 fresh and 5 done)

	Pruned	Kept	Total
New	564	0	564
Fresh	0	0	0
Picked	0	4	4
Done	0	1	1
Total	564	5	569

Accuracy

100.0%

Counts

569 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	42.8%	(pow.f64 (sqrt.f64 (expm1.f64 (*.f64 a x))) 2)
✓	64.8%	(.f64 x (+.f64 a (.f64 x (*.f64 1/2 (pow.f64 a 2)))))
✓	68.1%	(*.f64 a x)
✓	100.0%	(expm1.f64 (*.f64 a x))
✓	40.9%	(exp.f64 (log.f64 (expm1.f64 (*.f64 a x))))

Compiler

Compiled 80 to 48 computations (40% saved)

regimes21.0ms (0.6%)

Counts

6 → 1

Calls

Call 1

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

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

Calls

5 calls:

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

Results

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

Compiler

Compiled 64 to 36 computations (43.8% saved)

regimes9.0ms (0.2%)

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

Inputs
(*.f64 a x)

Outputs
(*.f64 a x)

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
68.1%	1	`a`
68.1%	1	`x`
68.1%	1	`(*.f64 a x)`

Compiler

Compiled 16 to 10 computations (37.5% saved)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

2×	`*-commutative`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	30
1	11	30

Stop Event

1×	done
1×	saturated

Calls

Call 1

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

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

Compiler

Compiled 11 to 7 computations (36.4% saved)

soundness74.0ms (2.1%)

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Compiler

Compiled 12 to 7 computations (41.7% saved)

end0.0ms (0%)

preprocess34.0ms (1%)

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

analyze35.0ms (1%)

sample2.2s (62.2%)

preprocess125.0ms (3.5%)

eval0.0ms (0%)

prune1.0ms (0%)

localize24.0ms (0.7%)

series2.0ms (0%)

rewrite98.0ms (2.8%)

simplify59.0ms (1.7%)

eval18.0ms (0.5%)

prune16.0ms (0.4%)

localize145.0ms (4.1%)

series104.0ms (2.9%)

rewrite219.0ms (6.1%)

simplify137.0ms (3.8%)

eval167.0ms (4.7%)

prune61.0ms (1.7%)

regimes21.0ms (0.6%)

regimes9.0ms (0.2%)

simplify2.0ms (0.1%)

soundness74.0ms (2.1%)

end0.0ms (0%)

preprocess34.0ms (1%)

Profiling