Metrics for expax (section 3.5)

analyze25.0ms (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)

Precisions

Click to see histograms. Total time spent on operations: 10.0ms

Operation ival-exp, time spent: 3.0ms, 29.0% of total-time

Operation ival-mult, time spent: 3.0ms, 29.0% of total-time

Operation ival-sub, time spent: 2.0ms, 19.0% of total-time

Operation ival->, time spent: 2.0ms, 19.0% of total-time

Operation const, time spent: 0.0ms, 0.0% of total-time

sample3.1s (59.5%)

Results

381.0ms	2914×	0	valid
1.7s	2860×	3	valid
370.0ms	1596×	1	valid
255.0ms	885×	2	valid
127.0ms	370×	0	precondition
0.0ms	1×	2	valid

Precisions

Click to see histograms. Total time spent on operations: 1.7s

Operation ival->, time spent: 505.0ms, 29.0% of total-time

Operation ival-sub, time spent: 448.0ms, 26.0% of total-time

Operation ival-exp, time spent: 400.0ms, 23.0% of total-time

Operation ival-mult, time spent: 325.0ms, 19.0% of total-time

Operation const, time spent: 46.0ms, 3.0% of total-time

Bogosity

preprocess229.0ms (4.4%)

Algorithm

1×	egg-herbie

Rules

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

FPErrors

Click to see full error table

Ground Truth	Overpredictions	Example	Underpredictions	Example	Subexpression
130	2	(-7.683588189792859e-228 4.741783548561091e-97)	0	-	`(-.f64 (exp.f64 (*.f64 a x)) 1)`
2	0	-	1	(-8.621680165101201e+181 -7.8902505643103e-181)	`(exp.f64 (*.f64 a x))`
0	0	-	0	-	`x`
0	0	-	0	-	`(*.f64 a x)`
0	0	-	0	-	`a`
0	0	-	0	-	`1`

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Calls

Call 1

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

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

Symmetry

(sort a x)

Compiler

Compiled 46 to 22 computations (52.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 65.0ms

Operation ival-sub, time spent: 24.0ms, 37.0% of total-time

Operation ival-exp, time spent: 22.0ms, 34.0% of total-time

Operation ival-mult, time spent: 16.0ms, 24.0% of total-time

Operation const, time spent: 4.0ms, 6.0% of total-time

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))

Compiler

Compiled 6 to 4 computations (33.3% saved)

localize22.0ms (0.4%)

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)

Precisions

Click to see histograms. Total time spent on operations: 5.0ms

Operation ival-expm1, time spent: 2.0ms, 42.0% of total-time

Operation ival-mult, time spent: 2.0ms, 42.0% of total-time

Operation const, time spent: 0.0ms, 0.0% of total-time

series2.0ms (0%)

Counts

1 → 24

Calls

6 calls:

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

rewrite176.0ms (3.4%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	17
1	82	17
2	890	17

Stop Event

1×	node limit

Counts

1 → 47

Calls

Call 1

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

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

simplify78.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 2 (0.0ms)

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

Stop Event

1×	node limit

Counts

71 → 75

Calls

Call 1

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

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

eval18.0ms (0.3%)

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

prune11.0ms (0.2%)

Pruning

4 alts after pruning (3 fresh and 1 done)

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

Accuracy

100.0%

Counts

76 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	37.4%	(pow.f64 (E.f64) (log.f64 (expm1.f64 (*.f64 a x))))
▶	66.1%	(*.f64 a x)
✓	100.0%	(expm1.f64 (*.f64 a x))
▶	37.5%	(exp.f64 (log.f64 (expm1.f64 (*.f64 a x))))

Compiler

Compiled 28 to 20 computations (28.6% saved)

localize60.0ms (1.2%)

Localize:

Found 7 expressions with local error:

New	Accuracy	Program
	100.0%	(expm1.f64 (*.f64 a x))
✓	97.5%	(pow.f64 (E.f64) (log.f64 (expm1.f64 (*.f64 a x))))
✓	92.3%	(log.f64 (expm1.f64 (*.f64 a x)))
✓	36.0%	(E.f64)
	100.0%	(expm1.f64 (*.f64 a x))
✓	97.7%	(exp.f64 (log.f64 (expm1.f64 (*.f64 a x))))
✓	92.3%	(log.f64 (expm1.f64 (*.f64 a x)))

Compiler

Compiled 50 to 9 computations (82% saved)

Precisions

Click to see histograms. Total time spent on operations: 20.0ms

Operation ival-pow, time spent: 8.0ms, 39.0% of total-time

Operation ival-log, time spent: 4.0ms, 20.0% of total-time

Operation ival-e, time spent: 2.0ms, 10.0% of total-time

Operation ival-exp, time spent: 2.0ms, 10.0% of total-time

Operation ival-expm1, time spent: 2.0ms, 10.0% of total-time

Operation ival-mult, time spent: 2.0ms, 10.0% of total-time

Operation const, time spent: 0.0ms, 0.0% of total-time

series128.0ms (2.5%)

Counts

5 → 96

Calls

24 calls:

Time	Variable		Point	Expression
35.0ms	a	@	inf	(pow.f64 (E.f64) (log.f64 (expm1.f64 (*.f64 a x))))
27.0ms	a	@	inf	(log.f64 (expm1.f64 (*.f64 a x)))
23.0ms	a	@	-inf	(log.f64 (expm1.f64 (*.f64 a x)))
17.0ms	x	@	-inf	(log.f64 (expm1.f64 (*.f64 a x)))
13.0ms	x	@	inf	(log.f64 (expm1.f64 (*.f64 a x)))

rewrite101.0ms (2%)

Algorithm

1×	batch-egg-rewrite

Rules

890×	`unpow-prod-down`
564×	`log-prod`
486×	`log1p-expm1-u`
485×	`expm1-log1p-u`
450×	`add-exp-log`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	79
1	148	79
2	1519	79

Stop Event

1×	node limit

Counts

5 → 208

Calls

Call 1

Inputs
(log.f64 (expm1.f64 (*.f64 a x)))
(exp.f64 (log.f64 (expm1.f64 (*.f64 a x))))
(E.f64)
(log.f64 (expm1.f64 (*.f64 a x)))
(pow.f64 (E.f64) (log.f64 (expm1.f64 (*.f64 a x))))

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

simplify139.0ms (2.7%)

Algorithm

1×	egg-herbie

Rules

1380×	`distribute-lft-in`
1286×	`distribute-rgt-in`
716×	`sqr-pow`
640×	`associate-r`
558×	`associate-l`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	416	10158
1	1140	9704
2	3963	9436

Stop Event

1×	node limit

Counts

304 → 211

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

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

eval166.0ms (3.2%)

Compiler: Compiled 9973 to 4598 computations (53.9% saved)

prune61.0ms (1.2%)

Pruning

5 alts after pruning (1 fresh and 4 done)

	Pruned	Kept	Total
New	577	1	578
Fresh	0	0	0
Picked	0	3	3
Done	0	1	1
Total	577	5	582

Accuracy

100.0%

Counts

582 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	37.5%	(pow.f64 (exp.f64 1/2) (.f64 (log.f64 (expm1.f64 (.f64 a x))) 2))
✓	37.4%	(pow.f64 (E.f64) (log.f64 (expm1.f64 (*.f64 a x))))
✓	66.1%	(*.f64 a x)
✓	100.0%	(expm1.f64 (*.f64 a x))
✓	37.5%	(exp.f64 (log.f64 (expm1.f64 (*.f64 a x))))

Compiler

Compiled 40 to 30 computations (25% saved)

localize55.0ms (1.1%)

Localize:

Found 3 expressions with local error:

New	Accuracy	Program
	100.0%	(expm1.f64 (*.f64 a x))
✓	97.7%	(pow.f64 (exp.f64 1/2) (.f64 (log.f64 (expm1.f64 (.f64 a x))) 2))
	92.3%	(log.f64 (expm1.f64 (*.f64 a x)))

Compiler

Compiled 38 to 17 computations (55.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 26.0ms

Operation ival-pow, time spent: 8.0ms, 31.0% of total-time

Operation ival-mult, time spent: 6.0ms, 24.0% of total-time

Operation ival-exp, time spent: 5.0ms, 20.0% of total-time

Operation ival-log, time spent: 4.0ms, 16.0% of total-time

Operation const, time spent: 2.0ms, 8.0% of total-time

Operation ival-expm1, time spent: 2.0ms, 8.0% of total-time

series27.0ms (0.5%)

Counts

1 → 24

Calls

6 calls:

Time	Variable		Point	Expression
16.0ms	a	@	inf	(pow.f64 (exp.f64 1/2) (.f64 (log.f64 (expm1.f64 (.f64 a x))) 2))
7.0ms	x	@	inf	(pow.f64 (exp.f64 1/2) (.f64 (log.f64 (expm1.f64 (.f64 a x))) 2))
1.0ms	a	@	0	(pow.f64 (exp.f64 1/2) (.f64 (log.f64 (expm1.f64 (.f64 a x))) 2))
1.0ms	x	@	0	(pow.f64 (exp.f64 1/2) (.f64 (log.f64 (expm1.f64 (.f64 a x))) 2))
1.0ms	a	@	-inf	(pow.f64 (exp.f64 1/2) (.f64 (log.f64 (expm1.f64 (.f64 a x))) 2))

rewrite78.0ms (1.5%)

Algorithm

1×	batch-egg-rewrite

Rules

1162×	`unpow-prod-down`
690×	`log-prod`
575×	`log1p-expm1-u`
574×	`expm1-log1p-u`
498×	`pow-unpow`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	16	37
1	167	17
2	1853	17

Stop Event

1×	node limit

Counts

1 → 40

Calls

Call 1

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

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 (expm1.f64 (.f64 a x)) 1)
(.f64 (expm1.f64 (.f64 a x)) (pow.f64 1 (log.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 (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 (sqrt.f64 (sqrt.f64 (expm1.f64 (.f64 a x)))) (pow.f64 (pow.f64 (exp.f64 1/2) 3/2) (log.f64 (expm1.f64 (*.f64 a x)))))
(.f64 (pow.f64 (exp.f64 1) (.f64 2 (log.f64 (cbrt.f64 (expm1.f64 (.f64 a x)))))) (pow.f64 (exp.f64 1) (log.f64 (cbrt.f64 (expm1.f64 (.f64 a x))))))
(.f64 (pow.f64 1 1/3) (expm1.f64 (.f64 a x)))
(.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 (.f64 a x)))) 2) 3) (cbrt.f64 (expm1.f64 (*.f64 a x))))
(.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (expm1.f64 (.f64 a x)))) 3) (pow.f64 (sqrt.f64 (cbrt.f64 (expm1.f64 (*.f64 a x)))) 3))
(.f64 (pow.f64 (pow.f64 (exp.f64 1/2) 3/2) (log.f64 (expm1.f64 (.f64 a x)))) (sqrt.f64 (sqrt.f64 (expm1.f64 (*.f64 a x)))))
(.f64 (pow.f64 (pow.f64 (exp.f64 1/6) 5) (log.f64 (expm1.f64 (.f64 a x)))) (sqrt.f64 (cbrt.f64 (expm1.f64 (*.f64 a x)))))
(.f64 (pow.f64 (sqrt.f64 (pow.f64 (expm1.f64 (.f64 a x)) 3)) 1/3) (pow.f64 (sqrt.f64 (pow.f64 (expm1.f64 (*.f64 a x)) 3)) 1/3))
(.f64 (pow.f64 (pow.f64 (.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) (cbrt.f64 (sqrt.f64 (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 (pow.f64 (pow.f64 (exp.f64 a) x) 2) 1) (+.f64 (pow.f64 (exp.f64 a) x) 1))
(/.f64 (pow.f64 (exp.f64 1/2) (exp.f64 (log1p.f64 (.f64 (log.f64 (expm1.f64 (.f64 a x))) 2)))) (exp.f64 1/2))
(/.f64 (pow.f64 (exp.f64 1) (exp.f64 (log1p.f64 (log.f64 (expm1.f64 (*.f64 a x)))))) (exp.f64 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 (log.f64 (cbrt.f64 (expm1.f64 (.f64 a x)))) 3))
(exp.f64 (.f64 (.f64 3 (log.f64 (expm1.f64 (*.f64 a x)))) 1/3))
(exp.f64 (.f64 (log.f64 (pow.f64 (exp.f64 1/2) (pow.f64 (cbrt.f64 (.f64 (log.f64 (expm1.f64 (.f64 a x))) 2)) 2))) (cbrt.f64 (.f64 (log.f64 (expm1.f64 (*.f64 a x))) 2))))
(exp.f64 (.f64 (log.f64 (pow.f64 (exp.f64 1/2) (sqrt.f64 (.f64 (log.f64 (expm1.f64 (.f64 a x))) 2)))) (sqrt.f64 (.f64 (log.f64 (expm1.f64 (*.f64 a x))) 2))))
(log1p.f64 (expm1.f64 (expm1.f64 (*.f64 a x))))
(fma.f64 1 (pow.f64 (exp.f64 a) x) -1)
(fma.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 a) x)) 2) (cbrt.f64 (pow.f64 (exp.f64 a) x)) -1)
(fma.f64 (sqrt.f64 (pow.f64 (exp.f64 a) x)) (sqrt.f64 (pow.f64 (exp.f64 a) x)) -1)

simplify87.0ms (1.7%)

Algorithm

1×	egg-herbie

Rules

1820×	`fma-def`
874×	`times-frac`
848×	`*-commutative`
738×	`distribute-lft-in`
680×	`distribute-rgt-in`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	203	2582
1	548	2164
2	1911	2007
3	6904	1983

Stop Event

1×	node limit

Counts

64 → 78

Calls

Call 1

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

Outputs
(exp.f64 (+.f64 (log.f64 a) (log.f64 x)))
(*.f64 a x)
(+.f64 (exp.f64 (+.f64 (log.f64 a) (log.f64 x))) (.f64 1/2 (.f64 a (*.f64 x (exp.f64 (+.f64 (log.f64 a) (log.f64 x)))))))
(fma.f64 a x (.f64 (.f64 a (pow.f64 x 2)) (*.f64 a 1/2)))
(.f64 (+.f64 (.f64 (.f64 a x) 1/2) 1) (.f64 a x))
(+.f64 (exp.f64 (+.f64 (log.f64 a) (log.f64 x))) (+.f64 (.f64 1/2 (.f64 a (.f64 x (exp.f64 (+.f64 (log.f64 a) (log.f64 x)))))) (.f64 (pow.f64 a 2) (.f64 (exp.f64 (+.f64 (log.f64 a) (log.f64 x))) (+.f64 (.f64 1/8 (pow.f64 x 2)) (.f64 1/2 (+.f64 (.f64 -1/4 (pow.f64 x 2)) (*.f64 1/3 (pow.f64 x 2)))))))))
(+.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))))) (.f64 (pow.f64 a 2) (.f64 (exp.f64 (+.f64 (log.f64 a) (log.f64 x))) (fma.f64 1/8 (pow.f64 x 2) (.f64 1/2 (.f64 (pow.f64 x 2) 1/12)))))))
(fma.f64 a x (fma.f64 1/2 (.f64 a (.f64 a (pow.f64 x 2))) (.f64 (fma.f64 1/8 (pow.f64 x 2) (.f64 (pow.f64 x 2) 1/24)) (*.f64 (pow.f64 a 3) x))))
(fma.f64 (.f64 (pow.f64 x 2) 1/6) (.f64 x (pow.f64 a 3)) (.f64 (+.f64 (.f64 (.f64 a x) 1/2) 1) (.f64 a x)))
(+.f64 (exp.f64 (+.f64 (log.f64 a) (log.f64 x))) (+.f64 (.f64 1/2 (.f64 a (.f64 x (exp.f64 (+.f64 (log.f64 a) (log.f64 x)))))) (+.f64 (.f64 (pow.f64 a 2) (.f64 (exp.f64 (+.f64 (log.f64 a) (log.f64 x))) (+.f64 (.f64 1/8 (pow.f64 x 2)) (.f64 1/2 (+.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 a) (log.f64 x))) (+.f64 (.f64 1/48 (pow.f64 x 3)) (+.f64 (.f64 1/6 (+.f64 (.f64 -1/2 (pow.f64 x 3)) (.f64 1/2 (pow.f64 x 3)))) (.f64 1/4 (.f64 x (+.f64 (.f64 -1/4 (pow.f64 x 2)) (*.f64 1/3 (pow.f64 x 2))))))))))))
(+.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 1/8 (pow.f64 x 2) (.f64 1/2 (.f64 (pow.f64 x 2) 1/12)))) (.f64 (pow.f64 a 3) (.f64 (exp.f64 (+.f64 (log.f64 a) (log.f64 x))) (fma.f64 1/48 (pow.f64 x 3) (fma.f64 1/6 (.f64 (pow.f64 x 3) 0) (.f64 1/4 (.f64 x (*.f64 (pow.f64 x 2) 1/12))))))))))
(fma.f64 a x (fma.f64 1/2 (.f64 a (.f64 a (pow.f64 x 2))) (fma.f64 (pow.f64 a 3) (.f64 (.f64 a x) (fma.f64 1/48 (pow.f64 x 3) (fma.f64 1/4 (.f64 (pow.f64 x 3) 1/12) 0))) (.f64 (fma.f64 1/8 (pow.f64 x 2) (.f64 (pow.f64 x 2) 1/24)) (.f64 (pow.f64 a 3) x)))))
(fma.f64 1/2 (.f64 (pow.f64 a 2) (pow.f64 x 2)) (fma.f64 a x (fma.f64 (fma.f64 1/4 (.f64 (pow.f64 x 3) 1/12) (.f64 1/48 (pow.f64 x 3))) (.f64 x (pow.f64 a 4)) (.f64 (.f64 (pow.f64 x 2) 1/6) (*.f64 x (pow.f64 a 3))))))
(-.f64 (exp.f64 (*.f64 a x)) 1)
(expm1.f64 (*.f64 a x))
(-.f64 (exp.f64 (*.f64 a x)) 1)
(expm1.f64 (*.f64 a x))
(-.f64 (exp.f64 (*.f64 a x)) 1)
(expm1.f64 (*.f64 a x))
(-.f64 (exp.f64 (*.f64 a x)) 1)
(expm1.f64 (*.f64 a x))
(-.f64 (exp.f64 (*.f64 a x)) 1)
(expm1.f64 (*.f64 a x))
(-.f64 (exp.f64 (*.f64 a x)) 1)
(expm1.f64 (*.f64 a x))
(-.f64 (exp.f64 (*.f64 a x)) 1)
(expm1.f64 (*.f64 a x))
(-.f64 (exp.f64 (*.f64 a x)) 1)
(expm1.f64 (*.f64 a x))
(exp.f64 (+.f64 (log.f64 a) (log.f64 x)))
(*.f64 a x)
(+.f64 (exp.f64 (+.f64 (log.f64 a) (log.f64 x))) (.f64 1/2 (.f64 a (*.f64 x (exp.f64 (+.f64 (log.f64 a) (log.f64 x)))))))
(fma.f64 a x (.f64 (.f64 a (pow.f64 x 2)) (*.f64 a 1/2)))
(.f64 (+.f64 (.f64 (.f64 a x) 1/2) 1) (.f64 a x))
(+.f64 (exp.f64 (+.f64 (log.f64 a) (log.f64 x))) (+.f64 (.f64 1/2 (.f64 a (.f64 x (exp.f64 (+.f64 (log.f64 a) (log.f64 x)))))) (.f64 (pow.f64 x 2) (.f64 (exp.f64 (+.f64 (log.f64 a) (log.f64 x))) (+.f64 (.f64 1/8 (pow.f64 a 2)) (.f64 1/2 (+.f64 (.f64 -1/4 (pow.f64 a 2)) (*.f64 1/3 (pow.f64 a 2)))))))))
(+.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))))) (.f64 (pow.f64 x 2) (.f64 (exp.f64 (+.f64 (log.f64 a) (log.f64 x))) (fma.f64 1/8 (pow.f64 a 2) (.f64 1/2 (.f64 (pow.f64 a 2) 1/12)))))))
(fma.f64 a x (fma.f64 (pow.f64 x 2) (.f64 a (.f64 x (fma.f64 (pow.f64 a 2) 1/8 (.f64 (pow.f64 a 2) 1/24)))) (.f64 (.f64 a (pow.f64 x 2)) (.f64 a 1/2))))
(fma.f64 a x (.f64 (.f64 a x) (+.f64 (.f64 x (.f64 a 1/2)) (.f64 (pow.f64 x 2) (.f64 (pow.f64 a 2) 1/6)))))
(+.f64 (exp.f64 (+.f64 (log.f64 a) (log.f64 x))) (+.f64 (.f64 1/2 (.f64 a (.f64 x (exp.f64 (+.f64 (log.f64 a) (log.f64 x)))))) (+.f64 (.f64 (pow.f64 x 2) (.f64 (exp.f64 (+.f64 (log.f64 a) (log.f64 x))) (+.f64 (.f64 1/8 (pow.f64 a 2)) (.f64 1/2 (+.f64 (.f64 -1/4 (pow.f64 a 2)) (.f64 1/3 (pow.f64 a 2))))))) (.f64 (pow.f64 x 3) (.f64 (exp.f64 (+.f64 (log.f64 a) (log.f64 x))) (+.f64 (.f64 1/48 (pow.f64 a 3)) (+.f64 (.f64 1/6 (+.f64 (.f64 -1/2 (pow.f64 a 3)) (.f64 1/2 (pow.f64 a 3)))) (.f64 1/4 (.f64 a (+.f64 (.f64 -1/4 (pow.f64 a 2)) (*.f64 1/3 (pow.f64 a 2))))))))))))
(+.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 x 2) (.f64 (exp.f64 (+.f64 (log.f64 a) (log.f64 x))) (fma.f64 1/8 (pow.f64 a 2) (.f64 1/2 (.f64 (pow.f64 a 2) 1/12)))) (.f64 (pow.f64 x 3) (.f64 (exp.f64 (+.f64 (log.f64 a) (log.f64 x))) (fma.f64 1/48 (pow.f64 a 3) (fma.f64 1/6 (.f64 (pow.f64 a 3) 0) (.f64 1/4 (.f64 a (*.f64 (pow.f64 a 2) 1/12))))))))))
(fma.f64 a x (fma.f64 1/2 (.f64 a (.f64 a (pow.f64 x 2))) (fma.f64 (pow.f64 x 2) (.f64 a (.f64 x (fma.f64 (pow.f64 a 2) 1/8 (.f64 (pow.f64 a 2) 1/24)))) (.f64 (fma.f64 (pow.f64 a 3) 1/48 (fma.f64 1/4 (.f64 (pow.f64 a 3) 1/12) 0)) (.f64 (*.f64 (pow.f64 x 3) a) x)))))
(fma.f64 a x (fma.f64 1/2 (.f64 (pow.f64 a 2) (pow.f64 x 2)) (.f64 (.f64 a x) (+.f64 (.f64 (pow.f64 x 2) (.f64 (pow.f64 a 2) 1/6)) (.f64 (pow.f64 x 3) (fma.f64 (pow.f64 a 3) 1/48 (.f64 1/4 (.f64 (pow.f64 a 3) 1/12))))))))
(-.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 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 (expm1.f64 (.f64 a x)) 1)
(expm1.f64 (*.f64 a x))
(.f64 (expm1.f64 (.f64 a x)) (pow.f64 1 (log.f64 (expm1.f64 (*.f64 a x)))))
(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 (sqrt.f64 (sqrt.f64 (expm1.f64 (.f64 a x)))) (pow.f64 (pow.f64 (exp.f64 1/2) 3/2) (log.f64 (expm1.f64 (*.f64 a x)))))
(.f64 (pow.f64 (exp.f64 1) (.f64 2 (log.f64 (cbrt.f64 (expm1.f64 (.f64 a x)))))) (pow.f64 (exp.f64 1) (log.f64 (cbrt.f64 (expm1.f64 (.f64 a x))))))
(expm1.f64 (*.f64 a x))
(.f64 (pow.f64 1 1/3) (expm1.f64 (.f64 a x)))
(expm1.f64 (*.f64 a x))
(.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 (.f64 a x)))) 2) 3) (cbrt.f64 (expm1.f64 (*.f64 a x))))
(expm1.f64 (*.f64 a x))
(.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (expm1.f64 (.f64 a x)))) 3) (pow.f64 (sqrt.f64 (cbrt.f64 (expm1.f64 (*.f64 a x)))) 3))
(expm1.f64 (*.f64 a x))
(.f64 (pow.f64 (pow.f64 (exp.f64 1/2) 3/2) (log.f64 (expm1.f64 (.f64 a x)))) (sqrt.f64 (sqrt.f64 (expm1.f64 (*.f64 a x)))))
(.f64 (sqrt.f64 (sqrt.f64 (expm1.f64 (.f64 a x)))) (pow.f64 (pow.f64 (exp.f64 1/2) 3/2) (log.f64 (expm1.f64 (*.f64 a x)))))
(.f64 (pow.f64 (pow.f64 (exp.f64 1/6) 5) (log.f64 (expm1.f64 (.f64 a x)))) (sqrt.f64 (cbrt.f64 (expm1.f64 (*.f64 a x)))))
(.f64 (sqrt.f64 (cbrt.f64 (expm1.f64 (.f64 a x)))) (pow.f64 (pow.f64 (exp.f64 1/6) 5) (log.f64 (expm1.f64 (*.f64 a x)))))
(.f64 (pow.f64 (sqrt.f64 (pow.f64 (expm1.f64 (.f64 a x)) 3)) 1/3) (pow.f64 (sqrt.f64 (pow.f64 (expm1.f64 (*.f64 a x)) 3)) 1/3))
(.f64 (cbrt.f64 (sqrt.f64 (pow.f64 (expm1.f64 (.f64 a x)) 3))) (cbrt.f64 (sqrt.f64 (pow.f64 (expm1.f64 (*.f64 a x)) 3))))
(.f64 (cbrt.f64 (pow.f64 (expm1.f64 (.f64 a x)) 3/2)) (cbrt.f64 (pow.f64 (expm1.f64 (*.f64 a x)) 3/2)))
(pow.f64 (pow.f64 (pow.f64 (expm1.f64 (*.f64 a x)) 3/2) 1/6) 4)
(.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 (cbrt.f64 (expm1.f64 (.f64 a x)))) (cbrt.f64 (pow.f64 (.f64 (expm1.f64 (.f64 a x)) (cbrt.f64 (expm1.f64 (*.f64 a x)))) 2)))
(.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 (.f64 a x)))) (cbrt.f64 (pow.f64 (pow.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))) 4) 2)))
(.f64 (pow.f64 (pow.f64 (expm1.f64 (.f64 a x)) 5/2) 1/3) (cbrt.f64 (sqrt.f64 (expm1.f64 (*.f64 a x)))))
(.f64 (cbrt.f64 (pow.f64 (expm1.f64 (.f64 a x)) 5/2)) (cbrt.f64 (sqrt.f64 (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 (pow.f64 (exp.f64 a) (*.f64 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 (exp.f64 a) (.f64 x 3))) (+.f64 (pow.f64 (exp.f64 a) x) (+.f64 1 (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 x) a) (pow.f64 (exp.f64 x) (.f64 2 a)))))
(/.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 2 (.f64 a x))) (+.f64 1 (pow.f64 (exp.f64 x) a)))
(/.f64 (pow.f64 (exp.f64 1/2) (exp.f64 (log1p.f64 (.f64 (log.f64 (expm1.f64 (.f64 a x))) 2)))) (exp.f64 1/2))
(/.f64 (pow.f64 (exp.f64 1/2) (exp.f64 (log1p.f64 (.f64 2 (log.f64 (expm1.f64 (.f64 a x))))))) (exp.f64 1/2))
(/.f64 (pow.f64 (exp.f64 1) (exp.f64 (log1p.f64 (log.f64 (expm1.f64 (*.f64 a x)))))) (exp.f64 1))
(/.f64 (pow.f64 (E.f64) (exp.f64 (log1p.f64 (log.f64 (expm1.f64 (*.f64 a x)))))) (E.f64))
(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 (log.f64 (cbrt.f64 (expm1.f64 (.f64 a x)))) 3))
(expm1.f64 (*.f64 a x))
(exp.f64 (.f64 (.f64 3 (log.f64 (expm1.f64 (*.f64 a x)))) 1/3))
(expm1.f64 (*.f64 a x))
(exp.f64 (.f64 (log.f64 (pow.f64 (exp.f64 1/2) (pow.f64 (cbrt.f64 (.f64 (log.f64 (expm1.f64 (.f64 a x))) 2)) 2))) (cbrt.f64 (.f64 (log.f64 (expm1.f64 (*.f64 a x))) 2))))
(expm1.f64 (*.f64 a x))
(exp.f64 (.f64 (log.f64 (pow.f64 (exp.f64 1/2) (sqrt.f64 (.f64 (log.f64 (expm1.f64 (.f64 a x))) 2)))) (sqrt.f64 (.f64 (log.f64 (expm1.f64 (*.f64 a x))) 2))))
(expm1.f64 (*.f64 a x))
(log1p.f64 (expm1.f64 (expm1.f64 (*.f64 a x))))
(expm1.f64 (*.f64 a x))
(fma.f64 1 (pow.f64 (exp.f64 a) x) -1)
(expm1.f64 (*.f64 a x))
(fma.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 a) x)) 2) (cbrt.f64 (pow.f64 (exp.f64 a) x)) -1)
(expm1.f64 (*.f64 a x))
(fma.f64 (sqrt.f64 (pow.f64 (exp.f64 a) x)) (sqrt.f64 (pow.f64 (exp.f64 a) x)) -1)
(expm1.f64 (*.f64 a x))

eval78.0ms (1.5%)

Compiler: Compiled 4455 to 2476 computations (44.4% saved)

prune32.0ms (0.6%)

Pruning

6 alts after pruning (1 fresh and 5 done)

	Pruned	Kept	Total
New	219	1	220
Fresh	0	0	0
Picked	0	1	1
Done	0	4	4
Total	219	6	225

Accuracy

100.0%

Counts

225 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	37.5%	(pow.f64 (exp.f64 1/2) (.f64 (log.f64 (expm1.f64 (.f64 a x))) 2))
✓	37.4%	(pow.f64 (E.f64) (log.f64 (expm1.f64 (*.f64 a x))))
▶	65.3%	(.f64 (+.f64 (.f64 (.f64 a x) 1/2) 1) (.f64 a x))
✓	66.1%	(*.f64 a x)
✓	100.0%	(expm1.f64 (*.f64 a x))
✓	37.5%	(exp.f64 (log.f64 (expm1.f64 (*.f64 a x))))

Compiler

Compiled 53 to 38 computations (28.3% saved)

localize47.0ms (0.9%)

Localize:

Found 3 expressions with local error:

New	Accuracy	Program
✓	100.0%	(+.f64 (.f64 (.f64 a x) 1/2) 1)
✓	99.9%	(.f64 (+.f64 (.f64 (.f64 a x) 1/2) 1) (.f64 a x))
✓	99.7%	(.f64 (.f64 a x) 1/2)

Compiler

Compiled 33 to 17 computations (48.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 21.0ms

Operation ival-mult, time spent: 10.0ms, 47.0% of total-time

Operation ival-add, time spent: 10.0ms, 47.0% of total-time

Operation const, time spent: 2.0ms, 9.0% of total-time

series7.0ms (0.1%)

Counts

3 → 72

Calls

18 calls:

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

rewrite103.0ms (2%)

Algorithm

1×	batch-egg-rewrite

Rules

1230×	`unpow-prod-down`
788×	`log-prod`
740×	`prod-diff`
663×	`log1p-expm1-u`
663×	`expm1-log1p-u`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	79
1	149	79
2	1838	79

Stop Event

1×	node limit

Counts

3 → 156

Calls

Call 1

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

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

simplify106.0ms (2%)

Algorithm

1×	egg-herbie

Rules

1214×	`distribute-lft-in`
1196×	`distribute-rgt-in`
784×	`times-frac`
666×	`log-prod`
478×	`fma-neg`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	337	8110
1	789	7464
2	2537	7402

Stop Event

1×	node limit

Counts

228 → 207

Calls

Call 1

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

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

eval73.0ms (1.4%)

Compiler: Compiled 3772 to 2221 computations (41.1% saved)

prune31.0ms (0.6%)

Pruning

7 alts after pruning (2 fresh and 5 done)

	Pruned	Kept	Total
New	205	2	207
Fresh	0	0	0
Picked	0	1	1
Done	1	4	5
Total	206	7	213

Accuracy

100.0%

Counts

213 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	37.5%	(pow.f64 (exp.f64 1/2) (.f64 (log.f64 (expm1.f64 (.f64 a x))) 2))
	65.2%	(+.f64 (.f64 (.f64 a (.f64 x 1/2)) (.f64 a x)) (*.f64 a x))
✓	65.3%	(.f64 (+.f64 (.f64 (.f64 a x) 1/2) 1) (.f64 a x))
	65.2%	(.f64 a (.f64 x (fma.f64 x (*.f64 1/2 a) 1)))
✓	66.1%	(*.f64 a x)
✓	100.0%	(expm1.f64 (*.f64 a x))
✓	37.5%	(exp.f64 (log.f64 (expm1.f64 (*.f64 a x))))

Compiler

Compiled 143 to 79 computations (44.8% saved)

regimes23.0ms (0.4%)

Counts

9 → 1

Calls

Call 1

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

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

Calls

5 calls:

6.0ms	a
6.0ms	x
6.0ms	(*.f64 a x)
2.0ms	(exp.f64 (*.f64 a x))
2.0ms	(-.f64 (exp.f64 (*.f64 a x)) 1)

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 25 to 17 computations (32% saved)

regimes10.0ms (0.2%)

Accuracy

Total -1.0b remaining (-4.4%)

Threshold costs -1b (-4.4%)

Counts

3 → 1

Calls

Call 1

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

Outputs
(*.f64 a x)

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
66.1%	1	`a`
66.1%	1	`x`
66.1%	1	`(*.f64 a x)`

Compiler

Compiled 11 to 7 computations (36.4% 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 (1.6%)

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Compiler

Compiled 12 to 7 computations (41.7% saved)

end0.0ms (0%)

preprocess40.0ms (0.8%)

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

analyze25.0ms (0.5%)

sample3.1s (59.5%)

preprocess229.0ms (4.4%)

eval0.0ms (0%)

prune1.0ms (0%)

localize22.0ms (0.4%)

series2.0ms (0%)

rewrite176.0ms (3.4%)

simplify78.0ms (1.5%)

eval18.0ms (0.3%)

prune11.0ms (0.2%)

localize60.0ms (1.2%)

series128.0ms (2.5%)

rewrite101.0ms (2%)

simplify139.0ms (2.7%)

eval166.0ms (3.2%)

prune61.0ms (1.2%)

localize55.0ms (1.1%)

series27.0ms (0.5%)

rewrite78.0ms (1.5%)

simplify87.0ms (1.7%)

eval78.0ms (1.5%)

prune32.0ms (0.6%)

localize47.0ms (0.9%)

series7.0ms (0.1%)

rewrite103.0ms (2%)

simplify106.0ms (2%)

eval73.0ms (1.4%)

prune31.0ms (0.6%)

regimes23.0ms (0.4%)

regimes10.0ms (0.2%)

simplify2.0ms (0%)

soundness83.0ms (1.6%)

end0.0ms (0%)

preprocess40.0ms (0.8%)

Profiling