Metrics for expax (section 3.5)

analyze27.0ms (0.6%)

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: 14.0ms

Operation ival-exp, time spent: 7.0ms, 49.0% of total-time

Operation ival-mult, time spent: 3.0ms, 21.0% of total-time

Operation ival-sub, time spent: 2.0ms, 14.0% of total-time

Operation ival->, time spent: 2.0ms, 14.0% of total-time

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

sample2.2s (51.3%)

Results

333.0ms	2704×	0	valid
446.0ms	2274×	1	valid
866.0ms	2114×	3	valid
350.0ms	1163×	2	valid
28.0ms	314×	0	precondition
0.0ms	1×	1	valid

Precisions

Click to see histograms. Total time spent on operations: 1.1s

Operation ival-exp, time spent: 426.0ms, 37.0% of total-time

Operation ival-sub, time spent: 393.0ms, 35.0% of total-time

Operation ival-mult, time spent: 179.0ms, 16.0% of total-time

Operation ival->, time spent: 98.0ms, 9.0% of total-time

Operation const, time spent: 41.0ms, 4.0% of total-time

Bogosity

preprocess482.0ms (11.2%)

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	Example	Example	Subexpression
2	-	-	`(-.f64 (exp.f64 (*.f64 a x)) 1)`
0	-	-	`x`
0	-	-	`(*.f64 a x)`
0	-	-	`(exp.f64 (*.f64 a x))`
0	-	-	`a`
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: 224.0ms

Operation ival-exp, time spent: 122.0ms, 54.0% of total-time

Operation ival-sub, time spent: 63.0ms, 28.0% of total-time

Operation ival-mult, time spent: 31.0ms, 14.0% of total-time

Operation const, time spent: 9.0ms, 4.0% 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
▶	99.9%	(expm1.f64 (*.f64 a x))

Compiler

Compiled 6 to 4 computations (33.3% saved)

localize320.0ms (7.5%)

Localize:

Found 1 expressions with local error:

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

Compiler

Compiled 12 to 5 computations (58.3% saved)

Precisions

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

Operation ival-expm1, time spent: 2.0ms, 44.0% of total-time

Operation ival-mult, time spent: 2.0ms, 44.0% 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))

rewrite236.0ms (5.5%)

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)

simplify72.0ms (1.7%)

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 (0.4%)

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

prune11.0ms (0.3%)

Pruning

4 alts after pruning (3 fresh and 1 done)

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

Accuracy

100.0%

Counts

76 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	98.9%	(pow.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))) 3)
▶	61.5%	(.f64 x (+.f64 (.f64 x (*.f64 1/2 (pow.f64 a 2))) a))
▶	65.7%	(*.f64 a x)
✓	99.9%	(expm1.f64 (*.f64 a x))

Compiler

Compiled 33 to 23 computations (30.3% saved)

localize767.0ms (17.9%)

Compiler: Compiled 69 to 35 computations (49.3% saved)
Precisions: Click to see histograms. Total time spent on operations: 586.0ms
Operation ival-expm1, time spent: 262.0ms, 45.0% of total-time
Operation ival-pow, time spent: 116.0ms, 20.0% of total-time
Operation ival-mult, time spent: 114.0ms, 19.0% of total-time
Operation ival-add, time spent: 56.0ms, 10.0% of total-time
Operation ival-cbrt, time spent: 21.0ms, 4.0% of total-time
Operation const, time spent: 17.0ms, 3.0% of total-time

eval0.0ms (0%)

Compiler: Compiled 2 to 2 computations (0% saved)

prune3.0ms (0.1%)

Pruning

4 alts after pruning (0 fresh and 4 done)

	Kept	Total
New	0	0
Fresh	0	0
Picked	3	3
Done	1	1
Total	4	4

Accuracy

100.0%

Counts

4 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	98.9%	(pow.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))) 3)
✓	61.5%	(.f64 x (+.f64 (.f64 x (*.f64 1/2 (pow.f64 a 2))) a))
✓	65.7%	(*.f64 a x)
✓	99.9%	(expm1.f64 (*.f64 a x))

Compiler

Compiled 66 to 40 computations (39.4% saved)

regimes18.0ms (0.4%)

Counts

5 → 1

Calls

Call 1

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

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

Calls

5 calls:

6.0ms	x
4.0ms	a
4.0ms	(*.f64 a x)
2.0ms	(-.f64 (exp.f64 (*.f64 a x)) 1)
2.0ms	(exp.f64 (*.f64 a x))

Results

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

Compiler

Compiled 25 to 17 computations (32% saved)

regimes9.0ms (0.2%)

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

Inputs
(*.f64 a x)

Outputs
(*.f64 a x)

Calls

3 calls:

4.0ms	a
3.0ms	x
2.0ms	(*.f64 a x)

Results

Accuracy	Segments	Branch
65.7%	1	`a`
65.7%	1	`x`
65.7%	1	`(*.f64 a x)`

Compiler

Compiled 11 to 7 computations (36.4% saved)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

2×	`*-commutative`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	30
1	11	30

Stop Event

1×	done
1×	saturated

Calls

Call 1

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

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

Compiler

Compiled 11 to 7 computations (36.4% saved)

soundness84.0ms (2%)

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%)

preprocess33.0ms (0.8%)

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

analyze27.0ms (0.6%)

sample2.2s (51.3%)

preprocess482.0ms (11.2%)

eval0.0ms (0%)

prune1.0ms (0%)

localize320.0ms (7.5%)

series2.0ms (0%)

rewrite236.0ms (5.5%)

simplify72.0ms (1.7%)

eval18.0ms (0.4%)

prune11.0ms (0.3%)

localize767.0ms (17.9%)

eval0.0ms (0%)

prune3.0ms (0.1%)

regimes18.0ms (0.4%)

regimes9.0ms (0.2%)

simplify2.0ms (0.1%)

soundness84.0ms (2%)

end0.0ms (0%)

preprocess33.0ms (0.8%)

Profiling