Metrics for expax (section 3.5)

start0.0ms (0.0%)

Memory: 0.0MiB live, 0.0MiB allocated; 0ms collecting garbage

analyze31.0ms (2.1%)

Memory

-11.9MiB live, 25.5MiB allocated; 18ms collecting garbage

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0.0%	0.0%	99.9%	0.1%	0.0%	0.0%	0.0%	0
0.0%	0.0%	99.9%	0.1%	0.0%	0.0%	0.0%	1
0.0%	0.0%	99.9%	0.1%	0.0%	0.0%	0.0%	2
50.0%	50.0%	50.0%	0.1%	0.0%	0.0%	0.0%	3
50.0%	50.0%	50.0%	0.1%	0.0%	0.0%	0.0%	4
62.5%	62.4%	37.5%	0.1%	0.0%	0.0%	0.0%	5
66.7%	62.4%	31.2%	0.1%	0.0%	6.2%	0.0%	6
75.9%	68.7%	21.9%	0.1%	0.0%	9.4%	0.0%	7
80.0%	68.7%	17.2%	0.1%	0.0%	14.0%	0.0%	8
86.0%	71.8%	11.7%	0.1%	0.0%	16.4%	0.0%	9
88.9%	71.8%	9.0%	0.1%	0.0%	19.1%	0.0%	10
92.4%	73.4%	6.0%	0.1%	0.0%	20.5%	0.0%	11
94.1%	73.4%	4.6%	0.1%	0.0%	22.0%	0.0%	12

Compiler

Compiled 12 to 7 computations (41.7% saved)

sample582.0ms (38.1%)

Memory

28.3MiB live, 684.6MiB allocated; 151ms collecting garbage

Samples

296.0ms	8 256×	0	valid
13.0ms	324×	0	invalid

Precisions

Click to see histograms. Total time spent on operations: 147.0ms

ival-expm1: 92.0ms (62.8% of total)

ival-mult!: 51.0ms (34.8% of total)

ival->: 2.0ms (1.4% of total)

adjust: 1.0ms (0.7% of total)

ival-assert: 0.0ms (0.0% of total)

Bogosity

preprocess35.0ms (2.3%)

Memory

-17.1MiB live, 29.3MiB allocated; 13ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	19	40
1	64	40
2	134	40
3	608	40

Stop Event

1×	node-limit

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	50.5%	(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))

Symmetry

(sort a x)

Compiler

Compiled 12 to 12 computations (0.0% saved)

sample0.0ms (0.0%)

Memory

0.3MiB live, 0.3MiB allocated; 0ms collecting garbage

Calls

Call 1

Inputs
1

Outputs
#s(literal 1 binary64)

Samples

0.0ms

1×

valid

Compiler

Compiled 3 to 3 computations (0.0% saved)

Precisions

Click to see histograms. Total time spent on operations: 0.0ms

adjust: 0.0ms (0.0% of total)

series11.0ms (0.8%)

Memory

17.0MiB live, 17.0MiB allocated; 0ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	80	271

Stop Event

1×	iter-limit

Counts

6 → 17

Calls

Call 1

Inputs
a
x
(*.f64 a x)
(exp.f64 (*.f64 a x))
#s(literal 1 binary64)
(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))

Outputs
#s(approx a a)
#s(approx (* a x) (*.f64 a x))
#s(approx (exp (* a x)) #s(literal 1 binary64))
#s(approx (exp (* a x)) (+.f64 #s(literal 1 binary64) (*.f64 a x)))
#s(approx (exp (* a x)) (+.f64 #s(literal 1 binary64) (.f64 a (+.f64 x (.f64 #s(literal 1/2 binary64) (*.f64 a (pow.f64 x #s(literal 2 binary64))))))))
#s(approx (exp (* a x)) (+.f64 #s(literal 1 binary64) (.f64 a (+.f64 x (.f64 a (fma.f64 #s(literal 1/6 binary64) (.f64 a (pow.f64 x #s(literal 3 binary64))) (.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))))))))
#s(approx (- (exp (* a x)) 1) (.f64 a (+.f64 x (.f64 #s(literal 1/2 binary64) (*.f64 a (pow.f64 x #s(literal 2 binary64)))))))
#s(approx (- (exp (* a x)) 1) (.f64 a (+.f64 x (.f64 a (fma.f64 #s(literal 1/6 binary64) (.f64 a (pow.f64 x #s(literal 3 binary64))) (.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64))))))))
#s(approx (- (exp (* a x)) 1) (.f64 a (+.f64 x (.f64 a (fma.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)) (.f64 a (fma.f64 #s(literal 1/24 binary64) (.f64 a (pow.f64 x #s(literal 4 binary64))) (*.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 3 binary64))))))))))
#s(approx (exp (* a x)) (exp.f64 (*.f64 a x)))
#s(approx (- (exp (* a x)) 1) (expm1.f64 (*.f64 a x)))
#s(approx x x)
#s(approx (exp (* a x)) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 a (.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 a #s(literal 2 binary64)) x))))))
#s(approx (exp (* a x)) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 a (.f64 x (fma.f64 #s(literal 1/6 binary64) (.f64 (pow.f64 a #s(literal 3 binary64)) x) (.f64 #s(literal 1/2 binary64) (pow.f64 a #s(literal 2 binary64)))))))))
#s(approx (- (exp (* a x)) 1) (.f64 x (+.f64 a (.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 a #s(literal 2 binary64)) x)))))
#s(approx (- (exp (* a x)) 1) (.f64 x (+.f64 a (.f64 x (fma.f64 #s(literal 1/6 binary64) (.f64 (pow.f64 a #s(literal 3 binary64)) x) (.f64 #s(literal 1/2 binary64) (pow.f64 a #s(literal 2 binary64))))))))
#s(approx (- (exp (* a x)) 1) (.f64 x (+.f64 a (.f64 x (fma.f64 #s(literal 1/2 binary64) (pow.f64 a #s(literal 2 binary64)) (.f64 x (fma.f64 #s(literal 1/24 binary64) (.f64 (pow.f64 a #s(literal 4 binary64)) x) (*.f64 #s(literal 1/6 binary64) (pow.f64 a #s(literal 3 binary64))))))))))

Calls

6 calls:

Time	Variable	Point
1.0ms	a	-inf
1.0ms	a	0
1.0ms	x	-inf
1.0ms	a	inf
1.0ms	x	0

rewrite183.0ms (12.0%)

Memory

0.2MiB live, 200.4MiB allocated; 92ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	16
0	9	16
1	40	16
2	122	16
3	552	16
0	4051	14

Stop Event

1×	iter-limit
1×	node-limit
1×	iter-limit

Counts

6 → 366

Calls

Call 1

Inputs
a
x
(*.f64 a x)
(exp.f64 (*.f64 a x))
#s(literal 1 binary64)
(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))

Outputs
a
x
(*.f64 x a)
(*.f64 a x)
(.f64 (-.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (cosh.f64 (.f64 x a))) (sinh.f64 (.f64 x a)))) (sinh.f64 (.f64 x a)))
(.f64 (pow.f64 (exp.f64 (.f64 x (+.f64 a a))) (/.f64 #s(literal 1/2 binary64) #s(literal 2 binary64))) (pow.f64 (exp.f64 (*.f64 x (+.f64 a a))) (/.f64 #s(literal 1/2 binary64) #s(literal 2 binary64))))
(.f64 (sqrt.f64 (neg.f64 (exp.f64 (.f64 x a)))) (sqrt.f64 (neg.f64 (exp.f64 (*.f64 x a)))))
(.f64 (pow.f64 (neg.f64 (exp.f64 (.f64 x a))) #s(literal 1/2 binary64)) (pow.f64 (neg.f64 (exp.f64 (*.f64 x a))) #s(literal 1/2 binary64)))
(.f64 (pow.f64 (exp.f64 (.f64 x a)) #s(literal 1/2 binary64)) (pow.f64 (exp.f64 (*.f64 x a)) #s(literal 1/2 binary64)))
(.f64 (+.f64 #s(literal 1 binary64) (/.f64 (cosh.f64 (.f64 x a)) (sinh.f64 (.f64 x a)))) (sinh.f64 (.f64 x a)))
(.f64 (-.f64 #s(literal 1 binary64) (/.f64 (sinh.f64 (.f64 (neg.f64 x) a)) (cosh.f64 (.f64 x a)))) (cosh.f64 (.f64 x a)))
(.f64 (fma.f64 (sinh.f64 (.f64 x a)) #s(literal 2 binary64) (.f64 #s(literal 2 binary64) (cosh.f64 (.f64 x a)))) #s(literal 1/2 binary64))
(.f64 (fma.f64 (cosh.f64 (.f64 x a)) #s(literal 2 binary64) (.f64 #s(literal 2 binary64) (sinh.f64 (.f64 x a)))) #s(literal 1/2 binary64))
(.f64 (fma.f64 (.f64 #s(literal 2 binary64) (sinh.f64 (.f64 x a))) #s(literal 2 binary64) (.f64 (.f64 #s(literal 2 binary64) (cosh.f64 (.f64 x a))) #s(literal 2 binary64))) #s(literal 1/4 binary64))
(.f64 (fma.f64 (.f64 #s(literal 2 binary64) (cosh.f64 (.f64 x a))) #s(literal 2 binary64) (.f64 (.f64 #s(literal 2 binary64) (sinh.f64 (.f64 x a))) #s(literal 2 binary64))) #s(literal 1/4 binary64))
(*.f64 (pow.f64 (exp.f64 x) (/.f64 a #s(literal 2 binary64))) (pow.f64 (exp.f64 x) (/.f64 a #s(literal 2 binary64))))
(.f64 (fma.f64 #s(literal 2 binary64) (sinh.f64 (.f64 x a)) (.f64 #s(literal 2 binary64) (cosh.f64 (.f64 x a)))) #s(literal 1/2 binary64))
(.f64 (fma.f64 #s(literal 2 binary64) (cosh.f64 (.f64 x a)) (.f64 #s(literal 2 binary64) (sinh.f64 (.f64 x a)))) #s(literal 1/2 binary64))
(.f64 (fma.f64 (.f64 #s(literal 2 binary64) (sinh.f64 (.f64 x a))) #s(literal 2 binary64) (.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) (cosh.f64 (.f64 x a))))) #s(literal 1/4 binary64))
(.f64 (fma.f64 (.f64 #s(literal 2 binary64) (cosh.f64 (.f64 x a))) #s(literal 2 binary64) (.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) (sinh.f64 (.f64 x a))))) #s(literal 1/4 binary64))
(.f64 (sqrt.f64 (exp.f64 (.f64 x a))) (sqrt.f64 (exp.f64 (*.f64 x a))))
(.f64 (+.f64 #s(literal 1 binary64) (/.f64 (sinh.f64 (.f64 x a)) (cosh.f64 (.f64 x a)))) (cosh.f64 (.f64 x a)))
(*.f64 (pow.f64 (exp.f64 a) (/.f64 x #s(literal 2 binary64))) (pow.f64 (exp.f64 a) (/.f64 x #s(literal 2 binary64))))
(pow.f64 (exp.f64 (.f64 (.f64 (*.f64 x a) #s(literal 2 binary64)) #s(literal 2 binary64))) #s(literal 1/4 binary64))
(pow.f64 (exp.f64 (+.f64 a a)) (/.f64 x #s(literal 2 binary64)))
(pow.f64 (exp.f64 (*.f64 x (+.f64 a a))) #s(literal 1/2 binary64))
(pow.f64 (exp.f64 x) a)
(pow.f64 (exp.f64 a) x)
(/.f64 (fma.f64 (sinh.f64 (.f64 x a)) #s(literal -2 binary64) (neg.f64 (.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 x a))))) #s(literal -2 binary64))
(/.f64 (fma.f64 (cosh.f64 (.f64 x a)) #s(literal -2 binary64) (neg.f64 (.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 x a))))) #s(literal -2 binary64))
(/.f64 (-.f64 (.f64 (cosh.f64 (.f64 x a)) #s(literal -2 binary64)) (.f64 #s(literal 2 binary64) (sinh.f64 (.f64 x a)))) #s(literal -2 binary64))
(/.f64 (fma.f64 (neg.f64 (.f64 #s(literal 2 binary64) (sinh.f64 (.f64 x a)))) #s(literal -2 binary64) (.f64 (neg.f64 (.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 x a)))) #s(literal -2 binary64))) #s(literal 4 binary64))
(/.f64 (fma.f64 (neg.f64 (.f64 #s(literal 2 binary64) (sinh.f64 (.f64 x a)))) #s(literal 2 binary64) (.f64 (.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 x a))) #s(literal -2 binary64))) #s(literal -4 binary64))
(/.f64 (fma.f64 (.f64 #s(literal 2 binary64) (sinh.f64 (.f64 x a))) #s(literal -2 binary64) (.f64 (neg.f64 (.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 x a)))) #s(literal 2 binary64))) #s(literal -4 binary64))
(/.f64 (fma.f64 (neg.f64 (.f64 #s(literal 2 binary64) (cosh.f64 (.f64 x a)))) #s(literal -2 binary64) (.f64 (neg.f64 (.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 x a)))) #s(literal -2 binary64))) #s(literal 4 binary64))
(/.f64 (fma.f64 (neg.f64 (.f64 #s(literal 2 binary64) (cosh.f64 (.f64 x a)))) #s(literal 2 binary64) (.f64 (.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 x a))) #s(literal -2 binary64))) #s(literal -4 binary64))
(/.f64 (fma.f64 (.f64 #s(literal 2 binary64) (cosh.f64 (.f64 x a))) #s(literal -2 binary64) (.f64 (neg.f64 (.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 x a)))) #s(literal 2 binary64))) #s(literal -4 binary64))
(/.f64 (-.f64 (.f64 (sinh.f64 (.f64 x a)) (sinh.f64 (.f64 x a))) (.f64 (neg.f64 (cosh.f64 (.f64 x a))) (neg.f64 (cosh.f64 (.f64 x a))))) (+.f64 (sinh.f64 (.f64 x a)) (neg.f64 (cosh.f64 (.f64 x a)))))
(/.f64 (-.f64 (pow.f64 (sinh.f64 (.f64 x a)) #s(literal 3 binary64)) (pow.f64 (neg.f64 (cosh.f64 (.f64 x a))) #s(literal 3 binary64))) (fma.f64 (sinh.f64 (.f64 x a)) (sinh.f64 (.f64 x a)) (fma.f64 (neg.f64 (cosh.f64 (.f64 x a))) (neg.f64 (cosh.f64 (.f64 x a))) (.f64 (sinh.f64 (.f64 x a)) (neg.f64 (cosh.f64 (*.f64 x a)))))))
(/.f64 (+.f64 (neg.f64 (.f64 #s(literal 2 binary64) (sinh.f64 (.f64 x a)))) (neg.f64 (.f64 #s(literal 2 binary64) (cosh.f64 (.f64 x a))))) #s(literal -2 binary64))
(/.f64 (+.f64 (neg.f64 (.f64 #s(literal 2 binary64) (cosh.f64 (.f64 x a)))) (neg.f64 (.f64 #s(literal 2 binary64) (sinh.f64 (.f64 x a))))) #s(literal -2 binary64))
(/.f64 (-.f64 (neg.f64 (.f64 #s(literal 2 binary64) (cosh.f64 (.f64 x a)))) (.f64 #s(literal 2 binary64) (sinh.f64 (.f64 x a)))) #s(literal -2 binary64))
(/.f64 (fma.f64 (neg.f64 (.f64 #s(literal 2 binary64) (sinh.f64 (.f64 x a)))) #s(literal -2 binary64) (.f64 #s(literal -2 binary64) (neg.f64 (.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 x a)))))) #s(literal 4 binary64))
(/.f64 (fma.f64 (neg.f64 (.f64 #s(literal 2 binary64) (sinh.f64 (.f64 x a)))) #s(literal 2 binary64) (.f64 #s(literal -2 binary64) (.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 x a))))) #s(literal -4 binary64))
(/.f64 (fma.f64 (.f64 #s(literal 2 binary64) (sinh.f64 (.f64 x a))) #s(literal -2 binary64) (.f64 #s(literal 2 binary64) (neg.f64 (.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 x a)))))) #s(literal -4 binary64))
(/.f64 (fma.f64 (neg.f64 (.f64 #s(literal 2 binary64) (cosh.f64 (.f64 x a)))) #s(literal -2 binary64) (.f64 #s(literal -2 binary64) (neg.f64 (.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 x a)))))) #s(literal 4 binary64))
(/.f64 (fma.f64 (neg.f64 (.f64 #s(literal 2 binary64) (cosh.f64 (.f64 x a)))) #s(literal 2 binary64) (.f64 #s(literal -2 binary64) (.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 x a))))) #s(literal -4 binary64))
(/.f64 (fma.f64 (.f64 #s(literal 2 binary64) (cosh.f64 (.f64 x a))) #s(literal -2 binary64) (.f64 #s(literal 2 binary64) (neg.f64 (.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 x a)))))) #s(literal -4 binary64))
(/.f64 (-.f64 (.f64 (neg.f64 (.f64 #s(literal 2 binary64) (cosh.f64 (.f64 x a)))) #s(literal 2 binary64)) (.f64 #s(literal -2 binary64) (neg.f64 (.f64 #s(literal 2 binary64) (sinh.f64 (.f64 x a)))))) #s(literal -4 binary64))
(/.f64 (-.f64 (.f64 (neg.f64 (.f64 #s(literal 2 binary64) (cosh.f64 (.f64 x a)))) #s(literal -2 binary64)) (.f64 #s(literal -2 binary64) (.f64 #s(literal 2 binary64) (sinh.f64 (.f64 x a))))) #s(literal 4 binary64))
(/.f64 (-.f64 (.f64 (.f64 #s(literal 2 binary64) (cosh.f64 (.f64 x a))) #s(literal 2 binary64)) (.f64 #s(literal 2 binary64) (neg.f64 (.f64 #s(literal 2 binary64) (sinh.f64 (.f64 x a)))))) #s(literal 4 binary64))
(/.f64 (-.f64 (.f64 (.f64 #s(literal 2 binary64) (cosh.f64 (.f64 x a))) #s(literal -2 binary64)) (.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) (sinh.f64 (.f64 x a))))) #s(literal -4 binary64))
(/.f64 (neg.f64 (fma.f64 (sinh.f64 (.f64 x a)) #s(literal 2 binary64) (.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 x a))))) #s(literal -2 binary64))
(/.f64 (neg.f64 (fma.f64 (cosh.f64 (.f64 x a)) #s(literal 2 binary64) (.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 x a))))) #s(literal -2 binary64))
(/.f64 (neg.f64 (fma.f64 (.f64 #s(literal 2 binary64) (sinh.f64 (.f64 x a))) #s(literal 2 binary64) (.f64 (.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 x a))) #s(literal 2 binary64)))) #s(literal -4 binary64))
(/.f64 (neg.f64 (fma.f64 (.f64 #s(literal 2 binary64) (cosh.f64 (.f64 x a))) #s(literal 2 binary64) (.f64 (.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 x a))) #s(literal 2 binary64)))) #s(literal -4 binary64))
(/.f64 (neg.f64 (fma.f64 #s(literal 2 binary64) (sinh.f64 (.f64 x a)) (.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 x a))))) #s(literal -2 binary64))
(/.f64 (neg.f64 (fma.f64 #s(literal 2 binary64) (cosh.f64 (.f64 x a)) (.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 x a))))) #s(literal -2 binary64))
(/.f64 (neg.f64 (fma.f64 (.f64 #s(literal 2 binary64) (sinh.f64 (.f64 x a))) #s(literal 2 binary64) (.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 x a)))))) #s(literal -4 binary64))
(/.f64 (neg.f64 (fma.f64 (.f64 #s(literal 2 binary64) (cosh.f64 (.f64 x a))) #s(literal 2 binary64) (.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 x a)))))) #s(literal -4 binary64))
(/.f64 (fabs.f64 (fma.f64 (sinh.f64 (.f64 x a)) #s(literal 2 binary64) (.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 x a))))) #s(literal 2 binary64))
(/.f64 (fabs.f64 (fma.f64 (cosh.f64 (.f64 x a)) #s(literal 2 binary64) (.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 x a))))) #s(literal 2 binary64))
(/.f64 (fabs.f64 (fma.f64 (.f64 #s(literal 2 binary64) (sinh.f64 (.f64 x a))) #s(literal 2 binary64) (.f64 (.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 x a))) #s(literal 2 binary64)))) #s(literal 4 binary64))
(/.f64 (fabs.f64 (fma.f64 (.f64 #s(literal 2 binary64) (cosh.f64 (.f64 x a))) #s(literal 2 binary64) (.f64 (.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 x a))) #s(literal 2 binary64)))) #s(literal 4 binary64))
(/.f64 (fabs.f64 (fma.f64 #s(literal 2 binary64) (sinh.f64 (.f64 x a)) (.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 x a))))) #s(literal 2 binary64))
(/.f64 (fabs.f64 (fma.f64 #s(literal 2 binary64) (cosh.f64 (.f64 x a)) (.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 x a))))) #s(literal 2 binary64))
(/.f64 (fabs.f64 (fma.f64 (.f64 #s(literal 2 binary64) (sinh.f64 (.f64 x a))) #s(literal 2 binary64) (.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 x a)))))) #s(literal 4 binary64))
(/.f64 (fabs.f64 (fma.f64 (.f64 #s(literal 2 binary64) (cosh.f64 (.f64 x a))) #s(literal 2 binary64) (.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 x a)))))) #s(literal 4 binary64))
(/.f64 (fma.f64 (sinh.f64 (.f64 x a)) #s(literal 2 binary64) (.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 x a)))) #s(literal 2 binary64))
(/.f64 (fma.f64 (cosh.f64 (.f64 x a)) #s(literal 2 binary64) (.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 x a)))) #s(literal 2 binary64))
(/.f64 (fma.f64 (.f64 #s(literal 2 binary64) (sinh.f64 (.f64 x a))) #s(literal 2 binary64) (.f64 (.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 x a))) #s(literal 2 binary64))) #s(literal 4 binary64))
(/.f64 (fma.f64 (.f64 #s(literal 2 binary64) (cosh.f64 (.f64 x a))) #s(literal 2 binary64) (.f64 (.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 x a))) #s(literal 2 binary64))) #s(literal 4 binary64))
(/.f64 (-.f64 (.f64 (sinh.f64 (.f64 x a)) (sinh.f64 (.f64 x a))) (.f64 (cosh.f64 (.f64 x a)) (cosh.f64 (.f64 x a)))) (neg.f64 (exp.f64 (*.f64 (neg.f64 x) a))))
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(+.f64 #s(literal -1 binary64) (exp.f64 (*.f64 x a)))
(+.f64 (sinh.f64 (.f64 x a)) (.f64 #s(literal -2 binary64) (.f64 (sinh.f64 (.f64 (-.f64 #s(literal 0 binary64) (.f64 x a)) #s(literal 1/2 binary64))) (sinh.f64 (.f64 (+.f64 #s(literal 0 binary64) (*.f64 x a)) #s(literal 1/2 binary64))))))
(+.f64 (sinh.f64 (.f64 x a)) (.f64 #s(literal -2 binary64) (.f64 (sinh.f64 (.f64 (+.f64 #s(literal 0 binary64) (.f64 x a)) #s(literal 1/2 binary64))) (sinh.f64 (.f64 (-.f64 #s(literal 0 binary64) (*.f64 x a)) #s(literal 1/2 binary64))))))
(+.f64 (sinh.f64 (.f64 x a)) (-.f64 (cosh.f64 (.f64 x a)) #s(literal 1 binary64)))
(+.f64 (cosh.f64 (.f64 x a)) (-.f64 (sinh.f64 (.f64 x a)) #s(literal 1 binary64)))
(+.f64 (expm1.f64 (*.f64 x a)) #s(literal 0 binary64))
(+.f64 (exp.f64 (*.f64 x a)) #s(literal -1 binary64))

eval29.0ms (1.9%)

Memory: 18.3MiB live, 63.6MiB allocated; 6ms collecting garbage
Compiler: Compiled 7 053 to 1 091 computations (84.5% saved)

prune12.0ms (0.8%)

Memory

-39.0MiB live, 16.3MiB allocated; 10ms collecting garbage

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	375	3	378
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	376	3	379

Accuracy

100.0%

Counts

379 → 3

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	20.7%	(-.f64 #s(approx (exp (* a x)) (+.f64 #s(literal 1 binary64) (*.f64 a x))) #s(literal 1 binary64))
▶	18.4%	(-.f64 #s(approx (exp (* a x)) #s(literal 1 binary64)) #s(literal 1 binary64))
▶	100.0%	(expm1.f64 (*.f64 x a))

Compiler

Compiled 24 to 20 computations (16.7% saved)

sample0.0ms (0.0%)

Memory

0.3MiB live, 0.3MiB allocated; 0ms collecting garbage

Calls

Call 1

Inputs
1

Outputs
#s(literal 1 binary64)

Samples

0.0ms

1×

valid

Compiler

Compiled 3 to 3 computations (0.0% saved)

Precisions

Click to see histograms. Total time spent on operations: 0.0ms

adjust: 0.0ms (0.0% of total)

series8.0ms (0.5%)

Memory

18.6MiB live, 18.6MiB allocated; 0ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	102	331

Stop Event

1×	iter-limit

Counts

11 → 21

Calls

Call 1

Inputs
x
a
(*.f64 x a)
(expm1.f64 (*.f64 x a))
#s(literal 1 binary64)
#s(approx (exp (* a x)) #s(literal 1 binary64))
(-.f64 #s(approx (exp (* a x)) #s(literal 1 binary64)) #s(literal 1 binary64))
(*.f64 a x)
(+.f64 #s(literal 1 binary64) (*.f64 a x))
#s(approx (exp (* a x)) (+.f64 #s(literal 1 binary64) (*.f64 a x)))
(-.f64 #s(approx (exp (* a x)) (+.f64 #s(literal 1 binary64) (*.f64 a x))) #s(literal 1 binary64))

Outputs
#s(approx a a)
#s(approx (* x a) (*.f64 a x))
#s(approx (- (exp (* x a)) 1) (.f64 a (+.f64 x (.f64 #s(literal 1/2 binary64) (*.f64 a (pow.f64 x #s(literal 2 binary64)))))))
#s(approx (- (exp (* x a)) 1) (.f64 a (+.f64 x (.f64 a (fma.f64 #s(literal 1/6 binary64) (.f64 a (pow.f64 x #s(literal 3 binary64))) (.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64))))))))
#s(approx (- (exp (* x a)) 1) (.f64 a (+.f64 x (.f64 a (fma.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)) (.f64 a (fma.f64 #s(literal 1/24 binary64) (.f64 a (pow.f64 x #s(literal 4 binary64))) (*.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 3 binary64))))))))))
#s(approx (exp (* a x)) #s(literal 1 binary64))
#s(approx (exp (* a x)) (+.f64 #s(literal 1 binary64) (*.f64 a x)))
#s(approx (exp (* a x)) (+.f64 #s(literal 1 binary64) (.f64 a (+.f64 x (.f64 #s(literal 1/2 binary64) (*.f64 a (pow.f64 x #s(literal 2 binary64))))))))
#s(approx (exp (* a x)) (+.f64 #s(literal 1 binary64) (.f64 a (+.f64 x (.f64 a (fma.f64 #s(literal 1/6 binary64) (.f64 a (pow.f64 x #s(literal 3 binary64))) (.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))))))))
#s(approx (- (exp (* x a)) 1) (expm1.f64 (*.f64 a x)))
#s(approx (exp (* a x)) (exp.f64 (*.f64 a x)))
#s(approx (+ 1 (* a x)) (*.f64 a (+.f64 x (/.f64 #s(literal 1 binary64) a))))
#s(approx (+ 1 (* a x)) (.f64 #s(literal -1 binary64) (.f64 a (-.f64 (*.f64 #s(literal -1 binary64) x) (/.f64 #s(literal 1 binary64) a)))))
#s(approx x x)
#s(approx (- (exp (* x a)) 1) (.f64 x (+.f64 a (.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 a #s(literal 2 binary64)) x)))))
#s(approx (- (exp (* x a)) 1) (.f64 x (+.f64 a (.f64 x (fma.f64 #s(literal 1/6 binary64) (.f64 (pow.f64 a #s(literal 3 binary64)) x) (.f64 #s(literal 1/2 binary64) (pow.f64 a #s(literal 2 binary64))))))))
#s(approx (- (exp (* x a)) 1) (.f64 x (+.f64 a (.f64 x (fma.f64 #s(literal 1/2 binary64) (pow.f64 a #s(literal 2 binary64)) (.f64 x (fma.f64 #s(literal 1/24 binary64) (.f64 (pow.f64 a #s(literal 4 binary64)) x) (*.f64 #s(literal 1/6 binary64) (pow.f64 a #s(literal 3 binary64))))))))))
#s(approx (exp (* a x)) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 a (.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 a #s(literal 2 binary64)) x))))))
#s(approx (exp (* a x)) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 a (.f64 x (fma.f64 #s(literal 1/6 binary64) (.f64 (pow.f64 a #s(literal 3 binary64)) x) (.f64 #s(literal 1/2 binary64) (pow.f64 a #s(literal 2 binary64)))))))))
#s(approx (+ 1 (* a x)) (*.f64 x (+.f64 a (/.f64 #s(literal 1 binary64) x))))
#s(approx (+ 1 (* a x)) (.f64 #s(literal -1 binary64) (.f64 x (-.f64 (*.f64 #s(literal -1 binary64) a) (/.f64 #s(literal 1 binary64) x)))))

Calls

6 calls:

Time	Variable	Point
1.0ms	x	inf
1.0ms	a	-inf
1.0ms	x	-inf
1.0ms	a	inf
0.0ms	a	0

rewrite178.0ms (11.6%)

Memory

-7.0MiB live, 272.0MiB allocated; 31ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	54
0	20	54
1	111	54
2	309	54
3	912	54
0	4052	51

Stop Event

1×	iter-limit
1×	node-limit
1×	iter-limit

Counts

11 → 313

Calls

Call 1

Inputs
x
a
(*.f64 x a)
(expm1.f64 (*.f64 x a))
#s(literal 1 binary64)
#s(approx (exp (* a x)) #s(literal 1 binary64))
(-.f64 #s(approx (exp (* a x)) #s(literal 1 binary64)) #s(literal 1 binary64))
(*.f64 a x)
(+.f64 #s(literal 1 binary64) (*.f64 a x))
#s(approx (exp (* a x)) (+.f64 #s(literal 1 binary64) (*.f64 a x)))
(-.f64 #s(approx (exp (* a x)) (+.f64 #s(literal 1 binary64) (*.f64 a x))) #s(literal 1 binary64))

Outputs
x
a
(*.f64 (neg.f64 (neg.f64 x)) a)
(*.f64 (neg.f64 x) (neg.f64 a))
(*.f64 (neg.f64 a) (neg.f64 x))
(*.f64 a (neg.f64 (neg.f64 x)))
(*.f64 a x)
(*.f64 x a)
(neg.f64 (*.f64 (neg.f64 x) a))
(.f64 (+.f64 #s(literal 1 binary64) (/.f64 (exp.f64 (.f64 a x)) #s(literal -1 binary64))) #s(literal -1 binary64))
(.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (sinh.f64 (.f64 a x)) #s(literal 1 binary64)) (cosh.f64 (.f64 a x)))) (cosh.f64 (.f64 a x)))
(.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (exp.f64 (.f64 a x)))) (exp.f64 (*.f64 a x)))
(.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (.f64 (neg.f64 x) a))) (exp.f64 (*.f64 a x)))
(/.f64 (-.f64 (.f64 (+.f64 #s(literal -1 binary64) (cosh.f64 (.f64 a x))) #s(literal 2 binary64)) (neg.f64 (.f64 #s(literal 2 binary64) (sinh.f64 (.f64 a x))))) #s(literal 2 binary64))
(/.f64 (-.f64 (.f64 (+.f64 #s(literal -1 binary64) (cosh.f64 (.f64 a x))) #s(literal -2 binary64)) (.f64 #s(literal 2 binary64) (sinh.f64 (.f64 a x)))) #s(literal -2 binary64))
(/.f64 (-.f64 (.f64 (sinh.f64 (.f64 a x)) #s(literal 2 binary64)) (-.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) (cosh.f64 (.f64 a x))))) #s(literal 2 binary64))
(/.f64 (-.f64 (.f64 (sinh.f64 (.f64 a x)) #s(literal 4 binary64)) (-.f64 #s(literal 4 binary64) (.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 a x)))))) #s(literal 4 binary64))
(/.f64 (-.f64 (.f64 (exp.f64 (.f64 a x)) #s(literal -2 binary64)) #s(literal -2 binary64)) #s(literal -2 binary64))
(/.f64 (-.f64 (.f64 (exp.f64 (.f64 a x)) #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))
(/.f64 (-.f64 (.f64 (expm1.f64 (.f64 a x)) #s(literal 2 binary64)) #s(literal 0 binary64)) #s(literal 2 binary64))
(/.f64 (fma.f64 (-.f64 (.f64 (sinh.f64 (.f64 a x)) #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal -2 binary64) (.f64 (neg.f64 (.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 a x)))) #s(literal 2 binary64))) #s(literal -4 binary64))
(/.f64 (fma.f64 (-.f64 (.f64 (sinh.f64 (.f64 a x)) #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 2 binary64) (.f64 (.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 a x))) #s(literal 2 binary64))) #s(literal 4 binary64))
(/.f64 (fma.f64 (-.f64 (.f64 #s(literal 2 binary64) (sinh.f64 (.f64 a x))) #s(literal 2 binary64)) #s(literal -2 binary64) (.f64 (neg.f64 (.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 a x)))) #s(literal 2 binary64))) #s(literal -4 binary64))
(/.f64 (fma.f64 (-.f64 (.f64 #s(literal 2 binary64) (sinh.f64 (.f64 a x))) #s(literal 2 binary64)) #s(literal 2 binary64) (.f64 (.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 a x))) #s(literal 2 binary64))) #s(literal 4 binary64))
(/.f64 (fma.f64 (-.f64 (.f64 (.f64 #s(literal 2 binary64) (sinh.f64 (.f64 a x))) #s(literal 2 binary64)) #s(literal 4 binary64)) #s(literal -2 binary64) (.f64 (neg.f64 (.f64 #s(literal 2 binary64) (cosh.f64 (.f64 a x)))) #s(literal 4 binary64))) #s(literal -8 binary64))
(/.f64 (fma.f64 (-.f64 (.f64 (.f64 #s(literal 2 binary64) (sinh.f64 (.f64 a x))) #s(literal 2 binary64)) #s(literal 4 binary64)) #s(literal 2 binary64) (.f64 (.f64 #s(literal 2 binary64) (cosh.f64 (.f64 a x))) #s(literal 4 binary64))) #s(literal 8 binary64))
(/.f64 (+.f64 #s(literal -4 binary64) (.f64 (fma.f64 (sinh.f64 (.f64 a x)) #s(literal 2 binary64) (.f64 #s(literal 2 binary64) (cosh.f64 (.f64 a x)))) #s(literal 2 binary64))) #s(literal 4 binary64))
(/.f64 (+.f64 #s(literal -4 binary64) (.f64 (fma.f64 (cosh.f64 (.f64 a x)) #s(literal 2 binary64) (.f64 #s(literal 2 binary64) (sinh.f64 (.f64 a x)))) #s(literal 2 binary64))) #s(literal 4 binary64))
(/.f64 (+.f64 #s(literal -8 binary64) (.f64 (fma.f64 (.f64 #s(literal 2 binary64) (sinh.f64 (.f64 a x))) #s(literal 2 binary64) (.f64 (.f64 #s(literal 2 binary64) (cosh.f64 (.f64 a x))) #s(literal 2 binary64))) #s(literal 2 binary64))) #s(literal 8 binary64))
(/.f64 (+.f64 #s(literal -8 binary64) (.f64 (fma.f64 (.f64 #s(literal 2 binary64) (cosh.f64 (.f64 a x))) #s(literal 2 binary64) (.f64 (.f64 #s(literal 2 binary64) (sinh.f64 (.f64 a x))) #s(literal 2 binary64))) #s(literal 2 binary64))) #s(literal 8 binary64))
(/.f64 (+.f64 #s(literal -4 binary64) (.f64 (fma.f64 #s(literal 2 binary64) (sinh.f64 (.f64 a x)) (.f64 #s(literal 2 binary64) (cosh.f64 (.f64 a x)))) #s(literal 2 binary64))) #s(literal 4 binary64))
(/.f64 (+.f64 #s(literal -4 binary64) (.f64 (fma.f64 #s(literal 2 binary64) (cosh.f64 (.f64 a x)) (.f64 #s(literal 2 binary64) (sinh.f64 (.f64 a x)))) #s(literal 2 binary64))) #s(literal 4 binary64))
(/.f64 (+.f64 #s(literal -8 binary64) (.f64 (fma.f64 (.f64 #s(literal 2 binary64) (sinh.f64 (.f64 a x))) #s(literal 2 binary64) (.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) (cosh.f64 (.f64 a x))))) #s(literal 2 binary64))) #s(literal 8 binary64))
(/.f64 (+.f64 #s(literal -8 binary64) (.f64 (fma.f64 (.f64 #s(literal 2 binary64) (cosh.f64 (.f64 a x))) #s(literal 2 binary64) (.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) (sinh.f64 (.f64 a x))))) #s(literal 2 binary64))) #s(literal 8 binary64))
(/.f64 (+.f64 #s(literal 4 binary64) (.f64 (fma.f64 (sinh.f64 (.f64 a x)) #s(literal 2 binary64) (.f64 #s(literal 2 binary64) (cosh.f64 (.f64 a x)))) #s(literal -2 binary64))) #s(literal -4 binary64))
(/.f64 (+.f64 #s(literal 4 binary64) (.f64 (fma.f64 (cosh.f64 (.f64 a x)) #s(literal 2 binary64) (.f64 #s(literal 2 binary64) (sinh.f64 (.f64 a x)))) #s(literal -2 binary64))) #s(literal -4 binary64))
(/.f64 (+.f64 #s(literal 8 binary64) (.f64 (fma.f64 (.f64 #s(literal 2 binary64) (sinh.f64 (.f64 a x))) #s(literal 2 binary64) (.f64 (.f64 #s(literal 2 binary64) (cosh.f64 (.f64 a x))) #s(literal 2 binary64))) #s(literal -2 binary64))) #s(literal -8 binary64))
(/.f64 (+.f64 #s(literal 8 binary64) (.f64 (fma.f64 (.f64 #s(literal 2 binary64) (cosh.f64 (.f64 a x))) #s(literal 2 binary64) (.f64 (.f64 #s(literal 2 binary64) (sinh.f64 (.f64 a x))) #s(literal 2 binary64))) #s(literal -2 binary64))) #s(literal -8 binary64))
(/.f64 (+.f64 #s(literal 4 binary64) (.f64 (fma.f64 #s(literal 2 binary64) (sinh.f64 (.f64 a x)) (.f64 #s(literal 2 binary64) (cosh.f64 (.f64 a x)))) #s(literal -2 binary64))) #s(literal -4 binary64))
(/.f64 (+.f64 #s(literal 4 binary64) (.f64 (fma.f64 #s(literal 2 binary64) (cosh.f64 (.f64 a x)) (.f64 #s(literal 2 binary64) (sinh.f64 (.f64 a x)))) #s(literal -2 binary64))) #s(literal -4 binary64))
(/.f64 (+.f64 #s(literal 8 binary64) (.f64 (fma.f64 (.f64 #s(literal 2 binary64) (sinh.f64 (.f64 a x))) #s(literal 2 binary64) (.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) (cosh.f64 (.f64 a x))))) #s(literal -2 binary64))) #s(literal -8 binary64))
(/.f64 (+.f64 #s(literal 8 binary64) (.f64 (fma.f64 (.f64 #s(literal 2 binary64) (cosh.f64 (.f64 a x))) #s(literal 2 binary64) (.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) (sinh.f64 (.f64 a x))))) #s(literal -2 binary64))) #s(literal -8 binary64))
(/.f64 (fma.f64 (neg.f64 (.f64 #s(literal 2 binary64) (cosh.f64 (.f64 a x)))) #s(literal 2 binary64) (.f64 (-.f64 (.f64 (sinh.f64 (*.f64 a x)) #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal -2 binary64))) #s(literal -4 binary64))
(/.f64 (fma.f64 (neg.f64 (.f64 #s(literal 2 binary64) (cosh.f64 (.f64 a x)))) #s(literal 2 binary64) (.f64 (-.f64 (.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 a x))) #s(literal 2 binary64)) #s(literal -2 binary64))) #s(literal -4 binary64))
(/.f64 (fma.f64 (neg.f64 (.f64 #s(literal 2 binary64) (cosh.f64 (.f64 a x)))) #s(literal 4 binary64) (.f64 (-.f64 (.f64 (.f64 #s(literal 2 binary64) (sinh.f64 (.f64 a x))) #s(literal 2 binary64)) #s(literal 4 binary64)) #s(literal -2 binary64))) #s(literal -8 binary64))
(/.f64 (fma.f64 (.f64 #s(literal 2 binary64) (cosh.f64 (.f64 a x))) #s(literal 2 binary64) (.f64 (-.f64 (.f64 (sinh.f64 (*.f64 a x)) #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 2 binary64))) #s(literal 4 binary64))
(/.f64 (fma.f64 (.f64 #s(literal 2 binary64) (cosh.f64 (.f64 a x))) #s(literal 2 binary64) (.f64 (-.f64 (.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 a x))) #s(literal 2 binary64)) #s(literal 2 binary64))) #s(literal 4 binary64))
(/.f64 (fma.f64 (.f64 #s(literal 2 binary64) (cosh.f64 (.f64 a x))) #s(literal 4 binary64) (.f64 (-.f64 (.f64 (.f64 #s(literal 2 binary64) (sinh.f64 (.f64 a x))) #s(literal 2 binary64)) #s(literal 4 binary64)) #s(literal 2 binary64))) #s(literal 8 binary64))
(/.f64 (-.f64 (.f64 (+.f64 #s(literal -1 binary64) (cosh.f64 (.f64 a x))) (+.f64 #s(literal -1 binary64) (cosh.f64 (.f64 a x)))) (.f64 (sinh.f64 (.f64 a x)) (sinh.f64 (.f64 a x)))) (-.f64 (+.f64 #s(literal -1 binary64) (cosh.f64 (.f64 a x))) (sinh.f64 (.f64 a x))))
(/.f64 (-.f64 (.f64 (-.f64 (sinh.f64 (.f64 a x)) #s(literal 1 binary64)) (-.f64 (sinh.f64 (.f64 a x)) #s(literal 1 binary64))) (.f64 (cosh.f64 (.f64 a x)) (cosh.f64 (.f64 a x)))) (-.f64 (-.f64 (sinh.f64 (.f64 a x)) #s(literal 1 binary64)) (cosh.f64 (.f64 a x))))
(/.f64 (-.f64 (.f64 (sinh.f64 (.f64 a x)) (sinh.f64 (.f64 a x))) (.f64 (+.f64 (cosh.f64 (.f64 a x)) #s(literal -1 binary64)) (+.f64 (cosh.f64 (.f64 a x)) #s(literal -1 binary64)))) (-.f64 (sinh.f64 (.f64 a x)) (+.f64 (cosh.f64 (.f64 a x)) #s(literal -1 binary64))))
(/.f64 (-.f64 (.f64 (sinh.f64 (.f64 a x)) (sinh.f64 (.f64 a x))) (.f64 (-.f64 (cosh.f64 (.f64 a x)) #s(literal 1 binary64)) (-.f64 (cosh.f64 (.f64 a x)) #s(literal 1 binary64)))) (-.f64 (sinh.f64 (.f64 a x)) (-.f64 (cosh.f64 (.f64 a x)) #s(literal 1 binary64))))
(/.f64 (-.f64 (.f64 (+.f64 #s(literal -1 binary64) (cosh.f64 (.f64 a x))) (+.f64 #s(literal -1 binary64) (cosh.f64 (.f64 a x)))) (.f64 (sinh.f64 (.f64 (neg.f64 x) a)) (sinh.f64 (.f64 (neg.f64 x) a)))) (+.f64 (+.f64 #s(literal -1 binary64) (cosh.f64 (.f64 a x))) (sinh.f64 (.f64 (neg.f64 x) a))))
(/.f64 (-.f64 (.f64 (sinh.f64 (.f64 a x)) (sinh.f64 (.f64 a x))) (.f64 (-.f64 #s(literal 1 binary64) (cosh.f64 (.f64 a x))) (-.f64 #s(literal 1 binary64) (cosh.f64 (.f64 a x))))) (+.f64 (sinh.f64 (.f64 a x)) (-.f64 #s(literal 1 binary64) (cosh.f64 (.f64 a x)))))
(/.f64 (-.f64 (.f64 (cosh.f64 (.f64 a x)) (cosh.f64 (.f64 a x))) (.f64 (-.f64 (sinh.f64 (.f64 (neg.f64 x) a)) #s(literal -1 binary64)) (-.f64 (sinh.f64 (.f64 (neg.f64 x) a)) #s(literal -1 binary64)))) (+.f64 (cosh.f64 (.f64 a x)) (-.f64 (sinh.f64 (.f64 (neg.f64 x) a)) #s(literal -1 binary64))))
(/.f64 (-.f64 (.f64 (cosh.f64 (.f64 a x)) (cosh.f64 (.f64 a x))) (.f64 (+.f64 (sinh.f64 (.f64 (neg.f64 x) a)) #s(literal 1 binary64)) (+.f64 (sinh.f64 (.f64 (neg.f64 x) a)) #s(literal 1 binary64)))) (+.f64 (cosh.f64 (.f64 a x)) (+.f64 (sinh.f64 (.f64 (neg.f64 x) a)) #s(literal 1 binary64))))
(/.f64 (-.f64 (.f64 (cosh.f64 (.f64 a x)) (cosh.f64 (.f64 a x))) (.f64 (neg.f64 (-.f64 (sinh.f64 (.f64 a x)) #s(literal 1 binary64))) (neg.f64 (-.f64 (sinh.f64 (.f64 a x)) #s(literal 1 binary64))))) (+.f64 (cosh.f64 (.f64 a x)) (neg.f64 (-.f64 (sinh.f64 (.f64 a x)) #s(literal 1 binary64)))))
(/.f64 (-.f64 (.f64 (expm1.f64 (.f64 a x)) (expm1.f64 (.f64 a x))) (.f64 #s(literal 0 binary64) #s(literal 0 binary64))) (+.f64 (expm1.f64 (*.f64 a x)) #s(literal 0 binary64)))
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(/.f64 (-.f64 (.f64 (fma.f64 a x #s(literal 1 binary64)) (fma.f64 a x #s(literal 1 binary64))) (.f64 #s(literal 0 binary64) #s(literal 0 binary64))) (-.f64 (fma.f64 a x #s(literal 1 binary64)) #s(literal 0 binary64)))
(/.f64 (-.f64 (.f64 #s(literal 1 binary64) #s(literal 1 binary64)) (.f64 (-.f64 #s(literal 0 binary64) (.f64 (neg.f64 x) a)) (-.f64 #s(literal 0 binary64) (.f64 (neg.f64 x) a)))) (-.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (*.f64 (neg.f64 x) a))))
(/.f64 (-.f64 (.f64 #s(literal 1 binary64) #s(literal 1 binary64)) (.f64 (+.f64 #s(literal 0 binary64) (.f64 a x)) (+.f64 #s(literal 0 binary64) (.f64 a x)))) (-.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) (*.f64 a x))))
(/.f64 (+.f64 (pow.f64 (fma.f64 a x #s(literal 1 binary64)) #s(literal 3 binary64)) (pow.f64 #s(literal 0 binary64) #s(literal 3 binary64))) (fma.f64 (fma.f64 a x #s(literal 1 binary64)) (fma.f64 a x #s(literal 1 binary64)) (-.f64 (.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (.f64 (fma.f64 a x #s(literal 1 binary64)) #s(literal 0 binary64)))))
(/.f64 (+.f64 (pow.f64 #s(literal 1 binary64) #s(literal 3 binary64)) (pow.f64 (-.f64 #s(literal 0 binary64) (.f64 (neg.f64 x) a)) #s(literal 3 binary64))) (fma.f64 #s(literal 1 binary64) #s(literal 1 binary64) (-.f64 (.f64 (-.f64 #s(literal 0 binary64) (.f64 (neg.f64 x) a)) (-.f64 #s(literal 0 binary64) (.f64 (neg.f64 x) a))) (.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (.f64 (neg.f64 x) a))))))
(/.f64 (+.f64 (pow.f64 #s(literal 1 binary64) #s(literal 3 binary64)) (pow.f64 (+.f64 #s(literal 0 binary64) (.f64 a x)) #s(literal 3 binary64))) (fma.f64 #s(literal 1 binary64) #s(literal 1 binary64) (-.f64 (.f64 (+.f64 #s(literal 0 binary64) (.f64 a x)) (+.f64 #s(literal 0 binary64) (.f64 a x))) (.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) (.f64 a x))))))
(/.f64 (+.f64 (fma.f64 (*.f64 a x) #s(literal 2 binary64) #s(literal 2 binary64)) #s(literal 0 binary64)) #s(literal 2 binary64))
(/.f64 (fma.f64 (fma.f64 (*.f64 a x) #s(literal 2 binary64) #s(literal 2 binary64)) #s(literal 2 binary64) #s(literal 0 binary64)) #s(literal 4 binary64))
(/.f64 (neg.f64 (fma.f64 (*.f64 a x) #s(literal 2 binary64) #s(literal 2 binary64))) #s(literal -2 binary64))
(/.f64 (fma.f64 (*.f64 a x) #s(literal 2 binary64) #s(literal 2 binary64)) #s(literal 2 binary64))
(/.f64 (-.f64 (.f64 (.f64 a x) (.f64 a x)) (.f64 #s(literal -1 binary64) #s(literal -1 binary64))) (+.f64 (*.f64 a x) #s(literal -1 binary64)))
(/.f64 (-.f64 (pow.f64 (.f64 a x) #s(literal 3 binary64)) (pow.f64 #s(literal -1 binary64) #s(literal 3 binary64))) (fma.f64 (.f64 a x) (.f64 a x) (fma.f64 #s(literal -1 binary64) #s(literal -1 binary64) (.f64 (*.f64 a x) #s(literal -1 binary64)))))
(/.f64 (-.f64 (.f64 (.f64 a x) (.f64 a x)) (.f64 #s(literal 1 binary64) #s(literal 1 binary64))) (-.f64 (*.f64 a x) #s(literal 1 binary64)))
(/.f64 (-.f64 (.f64 #s(literal 1 binary64) #s(literal 1 binary64)) (.f64 (.f64 (neg.f64 x) a) (.f64 (neg.f64 x) a))) (+.f64 #s(literal 1 binary64) (*.f64 (neg.f64 x) a)))
(/.f64 (+.f64 (pow.f64 (.f64 a x) #s(literal 3 binary64)) (pow.f64 #s(literal 1 binary64) #s(literal 3 binary64))) (fma.f64 (.f64 a x) (.f64 a x) (-.f64 (.f64 #s(literal 1 binary64) #s(literal 1 binary64)) (.f64 (.f64 a x) #s(literal 1 binary64)))))
(/.f64 (-.f64 (pow.f64 #s(literal 1 binary64) #s(literal 3 binary64)) (pow.f64 (.f64 (neg.f64 x) a) #s(literal 3 binary64))) (fma.f64 #s(literal 1 binary64) #s(literal 1 binary64) (fma.f64 (.f64 (neg.f64 x) a) (.f64 (neg.f64 x) a) (.f64 #s(literal 1 binary64) (*.f64 (neg.f64 x) a)))))
(/.f64 (-.f64 (.f64 #s(literal 1 binary64) #s(literal 1 binary64)) (.f64 (.f64 a x) (.f64 a x))) (-.f64 #s(literal 1 binary64) (*.f64 a x)))
(/.f64 (+.f64 (pow.f64 #s(literal 1 binary64) #s(literal 3 binary64)) (pow.f64 (.f64 a x) #s(literal 3 binary64))) (fma.f64 #s(literal 1 binary64) #s(literal 1 binary64) (-.f64 (.f64 (.f64 a x) (.f64 a x)) (.f64 #s(literal 1 binary64) (.f64 a x)))))
(neg.f64 (+.f64 #s(literal -1 binary64) (*.f64 (neg.f64 x) a)))
(neg.f64 (-.f64 #s(literal -1 binary64) (*.f64 a x)))
(neg.f64 (fma.f64 (neg.f64 a) x #s(literal -1 binary64)))
(fma.f64 (neg.f64 (neg.f64 x)) a #s(literal 1 binary64))
(fma.f64 (neg.f64 x) (neg.f64 a) #s(literal 1 binary64))
(fma.f64 (neg.f64 a) (neg.f64 x) #s(literal 1 binary64))
(fma.f64 a (neg.f64 (neg.f64 x)) #s(literal 1 binary64))
(fma.f64 a x #s(literal 1 binary64))
(fma.f64 x a #s(literal 1 binary64))
(-.f64 (*.f64 a x) #s(literal -1 binary64))
(-.f64 #s(literal 1 binary64) (*.f64 (neg.f64 x) a))
(+.f64 (/.f64 (.f64 (.f64 a x) #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 1 binary64))
(+.f64 (fma.f64 a x #s(literal 1 binary64)) #s(literal 0 binary64))
(+.f64 (*.f64 a x) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (*.f64 (neg.f64 x) a)))
(+.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) (*.f64 a x)))
(+.f64 #s(literal 1 binary64) (*.f64 a x))
#s(approx (exp (* a x)) (fma.f64 a x #s(literal 1 binary64)))
(.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(approx (exp ( a x)) (fma.f64 a x #s(literal 1 binary64))) #s(literal -1 binary64))) #s(literal -1 binary64))
(.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) #s(approx (exp ( a x)) (fma.f64 a x #s(literal 1 binary64))))) #s(approx (exp (* a x)) (fma.f64 a x #s(literal 1 binary64))))
(.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (exp ( a x)) (fma.f64 a x #s(literal 1 binary64))))) #s(approx (exp (* a x)) (fma.f64 a x #s(literal 1 binary64))))
(/.f64 (-.f64 (.f64 (-.f64 #s(approx (exp ( a x)) (fma.f64 a x #s(literal 1 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)) #s(literal 0 binary64)) #s(literal 2 binary64))
(/.f64 (-.f64 (.f64 #s(approx (exp ( a x)) (fma.f64 a x #s(literal 1 binary64))) #s(literal -2 binary64)) #s(literal -2 binary64)) #s(literal -2 binary64))
(/.f64 (-.f64 (.f64 #s(approx (exp ( a x)) (fma.f64 a x #s(literal 1 binary64))) #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))
(/.f64 (-.f64 (.f64 #s(literal -1 binary64) #s(literal -1 binary64)) (.f64 (neg.f64 (neg.f64 #s(approx (exp (* a x)) (fma.f64 a x #s(literal 1 binary64))))) (neg.f64 (neg.f64 #s(approx (exp (* a x)) (fma.f64 a x #s(literal 1 binary64))))))) (-.f64 #s(literal -1 binary64) (neg.f64 (neg.f64 #s(approx (exp (* a x)) (fma.f64 a x #s(literal 1 binary64)))))))
(/.f64 (-.f64 (.f64 #s(literal -1 binary64) #s(literal -1 binary64)) (.f64 (neg.f64 #s(approx (exp (* a x)) (fma.f64 a x #s(literal 1 binary64)))) (neg.f64 #s(approx (exp (* a x)) (fma.f64 a x #s(literal 1 binary64)))))) (+.f64 #s(literal -1 binary64) (neg.f64 #s(approx (exp (* a x)) (fma.f64 a x #s(literal 1 binary64))))))
(/.f64 (-.f64 (.f64 (-.f64 #s(approx (exp ( a x)) (fma.f64 a x #s(literal 1 binary64))) #s(literal 1 binary64)) (-.f64 #s(approx (exp (* a x)) (fma.f64 a x #s(literal 1 binary64))) #s(literal 1 binary64))) (.f64 #s(literal 0 binary64) #s(literal 0 binary64))) (+.f64 (-.f64 #s(approx (exp ( a x)) (fma.f64 a x #s(literal 1 binary64))) #s(literal 1 binary64)) #s(literal 0 binary64)))
(/.f64 (+.f64 (pow.f64 #s(literal -1 binary64) #s(literal 3 binary64)) (pow.f64 (neg.f64 (neg.f64 #s(approx (exp (* a x)) (fma.f64 a x #s(literal 1 binary64))))) #s(literal 3 binary64))) (fma.f64 #s(literal -1 binary64) #s(literal -1 binary64) (-.f64 (.f64 (neg.f64 (neg.f64 #s(approx (exp ( a x)) (fma.f64 a x #s(literal 1 binary64))))) (neg.f64 (neg.f64 #s(approx (exp (* a x)) (fma.f64 a x #s(literal 1 binary64)))))) (.f64 #s(literal -1 binary64) (neg.f64 (neg.f64 #s(approx (exp ( a x)) (fma.f64 a x #s(literal 1 binary64)))))))))
(/.f64 (-.f64 (pow.f64 #s(literal -1 binary64) #s(literal 3 binary64)) (pow.f64 (neg.f64 #s(approx (exp (* a x)) (fma.f64 a x #s(literal 1 binary64)))) #s(literal 3 binary64))) (fma.f64 #s(literal -1 binary64) #s(literal -1 binary64) (fma.f64 (neg.f64 #s(approx (exp (* a x)) (fma.f64 a x #s(literal 1 binary64)))) (neg.f64 #s(approx (exp (* a x)) (fma.f64 a x #s(literal 1 binary64)))) (.f64 #s(literal -1 binary64) (neg.f64 #s(approx (exp ( a x)) (fma.f64 a x #s(literal 1 binary64))))))))
(/.f64 (-.f64 (pow.f64 (-.f64 #s(approx (exp (* a x)) (fma.f64 a x #s(literal 1 binary64))) #s(literal 1 binary64)) #s(literal 3 binary64)) (pow.f64 #s(literal 0 binary64) #s(literal 3 binary64))) (fma.f64 (-.f64 #s(approx (exp (* a x)) (fma.f64 a x #s(literal 1 binary64))) #s(literal 1 binary64)) (-.f64 #s(approx (exp (* a x)) (fma.f64 a x #s(literal 1 binary64))) #s(literal 1 binary64)) (fma.f64 #s(literal 0 binary64) #s(literal 0 binary64) (.f64 (-.f64 #s(approx (exp ( a x)) (fma.f64 a x #s(literal 1 binary64))) #s(literal 1 binary64)) #s(literal 0 binary64)))))
(/.f64 (-.f64 (-.f64 (.f64 #s(approx (exp ( a x)) (fma.f64 a x #s(literal 1 binary64))) #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 0 binary64)) #s(literal 2 binary64))
(/.f64 (-.f64 (.f64 (-.f64 (.f64 #s(approx (exp (* a x)) (fma.f64 a x #s(literal 1 binary64))) #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 0 binary64)) #s(literal 4 binary64))
(/.f64 (neg.f64 (-.f64 (.f64 #s(approx (exp ( a x)) (fma.f64 a x #s(literal 1 binary64))) #s(literal 2 binary64)) #s(literal 2 binary64))) #s(literal -2 binary64))
(/.f64 (-.f64 (.f64 #s(approx (exp ( a x)) (fma.f64 a x #s(literal 1 binary64))) #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 2 binary64))
(/.f64 (-.f64 (.f64 #s(literal -1 binary64) #s(literal -1 binary64)) (.f64 #s(approx (exp (* a x)) (fma.f64 a x #s(literal 1 binary64))) #s(approx (exp (* a x)) (fma.f64 a x #s(literal 1 binary64))))) (-.f64 #s(literal -1 binary64) #s(approx (exp (* a x)) (fma.f64 a x #s(literal 1 binary64)))))
(/.f64 (+.f64 (pow.f64 #s(literal -1 binary64) #s(literal 3 binary64)) (pow.f64 #s(approx (exp (* a x)) (fma.f64 a x #s(literal 1 binary64))) #s(literal 3 binary64))) (fma.f64 #s(literal -1 binary64) #s(literal -1 binary64) (-.f64 (.f64 #s(approx (exp ( a x)) (fma.f64 a x #s(literal 1 binary64))) #s(approx (exp (* a x)) (fma.f64 a x #s(literal 1 binary64)))) (.f64 #s(literal -1 binary64) #s(approx (exp ( a x)) (fma.f64 a x #s(literal 1 binary64)))))))
(/.f64 (-.f64 (.f64 #s(approx (exp ( a x)) (fma.f64 a x #s(literal 1 binary64))) #s(approx (exp (* a x)) (fma.f64 a x #s(literal 1 binary64)))) (.f64 #s(literal -1 binary64) #s(literal -1 binary64))) (-.f64 #s(approx (exp ( a x)) (fma.f64 a x #s(literal 1 binary64))) #s(literal -1 binary64)))
(/.f64 (+.f64 (pow.f64 #s(approx (exp (* a x)) (fma.f64 a x #s(literal 1 binary64))) #s(literal 3 binary64)) (pow.f64 #s(literal -1 binary64) #s(literal 3 binary64))) (fma.f64 #s(approx (exp (* a x)) (fma.f64 a x #s(literal 1 binary64))) #s(approx (exp (* a x)) (fma.f64 a x #s(literal 1 binary64))) (-.f64 (.f64 #s(literal -1 binary64) #s(literal -1 binary64)) (.f64 #s(approx (exp (* a x)) (fma.f64 a x #s(literal 1 binary64))) #s(literal -1 binary64)))))
(/.f64 (-.f64 (.f64 #s(approx (exp ( a x)) (fma.f64 a x #s(literal 1 binary64))) #s(approx (exp (* a x)) (fma.f64 a x #s(literal 1 binary64)))) (.f64 #s(literal 1 binary64) #s(literal 1 binary64))) (+.f64 #s(approx (exp ( a x)) (fma.f64 a x #s(literal 1 binary64))) #s(literal 1 binary64)))
(/.f64 (-.f64 (pow.f64 #s(approx (exp (* a x)) (fma.f64 a x #s(literal 1 binary64))) #s(literal 3 binary64)) (pow.f64 #s(literal 1 binary64) #s(literal 3 binary64))) (fma.f64 #s(approx (exp (* a x)) (fma.f64 a x #s(literal 1 binary64))) #s(approx (exp (* a x)) (fma.f64 a x #s(literal 1 binary64))) (fma.f64 #s(literal 1 binary64) #s(literal 1 binary64) (.f64 #s(approx (exp ( a x)) (fma.f64 a x #s(literal 1 binary64))) #s(literal 1 binary64)))))
(neg.f64 (-.f64 #s(literal 1 binary64) #s(approx (exp (* a x)) (fma.f64 a x #s(literal 1 binary64)))))
(-.f64 (/.f64 (.f64 #s(approx (exp ( a x)) (fma.f64 a x #s(literal 1 binary64))) #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 1 binary64))
(-.f64 #s(literal -1 binary64) (neg.f64 #s(approx (exp (* a x)) (fma.f64 a x #s(literal 1 binary64)))))
(-.f64 (-.f64 #s(approx (exp (* a x)) (fma.f64 a x #s(literal 1 binary64))) #s(literal 1 binary64)) #s(literal 0 binary64))
(-.f64 #s(approx (exp (* a x)) (fma.f64 a x #s(literal 1 binary64))) #s(literal 1 binary64))
(+.f64 #s(literal -1 binary64) (neg.f64 (neg.f64 #s(approx (exp (* a x)) (fma.f64 a x #s(literal 1 binary64))))))
(+.f64 #s(literal -1 binary64) #s(approx (exp (* a x)) (fma.f64 a x #s(literal 1 binary64))))
(+.f64 #s(approx (exp (* a x)) (fma.f64 a x #s(literal 1 binary64))) #s(literal -1 binary64))

eval27.0ms (1.8%)

Memory: 24.9MiB live, 70.2MiB allocated; 4ms collecting garbage
Compiler: Compiled 6 628 to 1 101 computations (83.4% saved)

prune17.0ms (1.1%)

Memory

-30.4MiB live, 18.4MiB allocated; 13ms collecting garbage

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	319	1	320
Fresh	0	0	0
Picked	3	0	3
Done	-2	2	0
Total	320	3	323

Accuracy

100.0%

Counts

323 → 3

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	20.7%	(-.f64 #s(approx (exp (* a x)) (fma.f64 x a #s(literal 1 binary64))) #s(literal 1 binary64))
✓	18.4%	(-.f64 #s(approx (exp (* a x)) #s(literal 1 binary64)) #s(literal 1 binary64))
✓	100.0%	(expm1.f64 (*.f64 x a))

Compiler

Compiled 23 to 19 computations (17.4% saved)

sample0.0ms (0.0%)

Memory

0.3MiB live, 0.3MiB allocated; 0ms collecting garbage

Calls

Call 1

Inputs
1

Outputs
#s(literal 1 binary64)

Samples

0.0ms

1×

valid

Compiler

Compiled 3 to 3 computations (0.0% saved)

Precisions

Click to see histograms. Total time spent on operations: 0.0ms

adjust: 0.0ms (0.0% of total)

series6.0ms (0.4%)

Memory

16.3MiB live, 16.3MiB allocated; 0ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	101	328

Stop Event

1×	iter-limit

Counts

6 → 21

Calls

Call 1

Inputs
a
x
#s(literal 1 binary64)
(fma.f64 x a #s(literal 1 binary64))
#s(approx (exp (* a x)) (fma.f64 x a #s(literal 1 binary64)))
(-.f64 #s(approx (exp (* a x)) (fma.f64 x a #s(literal 1 binary64))) #s(literal 1 binary64))

Outputs
#s(approx a a)
#s(approx (+ (* x a) 1) #s(literal 1 binary64))
#s(approx (+ (* x a) 1) (+.f64 #s(literal 1 binary64) (*.f64 a x)))
#s(approx (exp (* a x)) (+.f64 #s(literal 1 binary64) (.f64 a (+.f64 x (.f64 #s(literal 1/2 binary64) (*.f64 a (pow.f64 x #s(literal 2 binary64))))))))
#s(approx (exp (* a x)) (+.f64 #s(literal 1 binary64) (.f64 a (+.f64 x (.f64 a (fma.f64 #s(literal 1/6 binary64) (.f64 a (pow.f64 x #s(literal 3 binary64))) (.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))))))))
#s(approx (- (exp (* a x)) 1) (*.f64 a x))
#s(approx (- (exp (* a x)) 1) (.f64 a (+.f64 x (.f64 #s(literal 1/2 binary64) (*.f64 a (pow.f64 x #s(literal 2 binary64)))))))
#s(approx (- (exp (* a x)) 1) (.f64 a (+.f64 x (.f64 a (fma.f64 #s(literal 1/6 binary64) (.f64 a (pow.f64 x #s(literal 3 binary64))) (.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64))))))))
#s(approx (- (exp (* a x)) 1) (.f64 a (+.f64 x (.f64 a (fma.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)) (.f64 a (fma.f64 #s(literal 1/24 binary64) (.f64 a (pow.f64 x #s(literal 4 binary64))) (*.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 3 binary64))))))))))
#s(approx (+ (* x a) 1) (*.f64 a (+.f64 x (/.f64 #s(literal 1 binary64) a))))
#s(approx (exp (* a x)) (exp.f64 (*.f64 a x)))
#s(approx (- (exp (* a x)) 1) (expm1.f64 (*.f64 a x)))
#s(approx (+ (* x a) 1) (.f64 #s(literal -1 binary64) (.f64 a (-.f64 (*.f64 #s(literal -1 binary64) x) (/.f64 #s(literal 1 binary64) a)))))
#s(approx x x)
#s(approx (exp (* a x)) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 a (.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 a #s(literal 2 binary64)) x))))))
#s(approx (exp (* a x)) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 a (.f64 x (fma.f64 #s(literal 1/6 binary64) (.f64 (pow.f64 a #s(literal 3 binary64)) x) (.f64 #s(literal 1/2 binary64) (pow.f64 a #s(literal 2 binary64)))))))))
#s(approx (- (exp (* a x)) 1) (.f64 x (+.f64 a (.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 a #s(literal 2 binary64)) x)))))
#s(approx (- (exp (* a x)) 1) (.f64 x (+.f64 a (.f64 x (fma.f64 #s(literal 1/6 binary64) (.f64 (pow.f64 a #s(literal 3 binary64)) x) (.f64 #s(literal 1/2 binary64) (pow.f64 a #s(literal 2 binary64))))))))
#s(approx (- (exp (* a x)) 1) (.f64 x (+.f64 a (.f64 x (fma.f64 #s(literal 1/2 binary64) (pow.f64 a #s(literal 2 binary64)) (.f64 x (fma.f64 #s(literal 1/24 binary64) (.f64 (pow.f64 a #s(literal 4 binary64)) x) (*.f64 #s(literal 1/6 binary64) (pow.f64 a #s(literal 3 binary64))))))))))
#s(approx (+ (* x a) 1) (*.f64 x (+.f64 a (/.f64 #s(literal 1 binary64) x))))
#s(approx (+ (* x a) 1) (.f64 #s(literal -1 binary64) (.f64 x (-.f64 (*.f64 #s(literal -1 binary64) a) (/.f64 #s(literal 1 binary64) x)))))

Calls

6 calls:

Time	Variable	Point
0.0ms	x	-inf
0.0ms	a	-inf
0.0ms	a	inf
0.0ms	x	inf
0.0ms	a	0

rewrite127.0ms (8.3%)

Memory

25.5MiB live, 163.2MiB allocated; 11ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	27
0	11	27
1	59	27
2	167	27
3	548	27
4	3851	27
0	4018	27

Stop Event

1×	iter-limit
1×	node-limit
1×	iter-limit

Counts

6 → 105

Calls

Call 1

Inputs
a
x
#s(literal 1 binary64)
(fma.f64 x a #s(literal 1 binary64))
#s(approx (exp (* a x)) (fma.f64 x a #s(literal 1 binary64)))
(-.f64 #s(approx (exp (* a x)) (fma.f64 x a #s(literal 1 binary64))) #s(literal 1 binary64))

Outputs
a
x
#s(literal 1 binary64)
(*.f64 (/.f64 (fma.f64 x (+.f64 a a) #s(literal 2 binary64)) #s(literal 8 binary64)) #s(literal 4 binary64))
(*.f64 (/.f64 (fma.f64 x (+.f64 a a) #s(literal 2 binary64)) #s(literal 4 binary64)) #s(literal 2 binary64))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 0 binary64) (fma.f64 x a #s(literal 1 binary64)))) (fma.f64 x a #s(literal 1 binary64)))
(.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (neg.f64 x) a) #s(literal 1 binary64))) #s(literal 1 binary64))
(*.f64 (fma.f64 x (+.f64 a a) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 x a) #s(literal 1 binary64))) #s(literal 1 binary64))
(.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (.f64 x a))) (*.f64 x a))
(.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 x a))) (*.f64 x a))
(/.f64 (/.f64 (fma.f64 x (+.f64 a a) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64))
(/.f64 (fma.f64 (*.f64 x a) #s(literal -2 binary64) #s(literal -2 binary64)) #s(literal -2 binary64))
(/.f64 (fma.f64 (*.f64 x a) #s(literal 1 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))
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(/.f64 (+.f64 (pow.f64 (fma.f64 x a #s(literal 1 binary64)) #s(literal 3 binary64)) (pow.f64 #s(literal 0 binary64) #s(literal 3 binary64))) (fma.f64 (fma.f64 x a #s(literal 1 binary64)) (fma.f64 x a #s(literal 1 binary64)) (-.f64 (.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (.f64 (fma.f64 x a #s(literal 1 binary64)) #s(literal 0 binary64)))))
(/.f64 (fma.f64 (fma.f64 x (+.f64 a a) #s(literal 2 binary64)) #s(literal 2 binary64) #s(literal 0 binary64)) #s(literal 4 binary64))
(/.f64 (neg.f64 (fma.f64 x (+.f64 a a) #s(literal 2 binary64))) #s(literal -2 binary64))
(/.f64 (fma.f64 x (+.f64 a a) #s(literal 2 binary64)) #s(literal 2 binary64))
(/.f64 (-.f64 (.f64 #s(literal 1 binary64) #s(literal 1 binary64)) (.f64 (.f64 (neg.f64 x) a) (.f64 (neg.f64 x) a))) (+.f64 #s(literal 1 binary64) (*.f64 (neg.f64 x) a)))
(/.f64 (-.f64 (pow.f64 #s(literal 1 binary64) #s(literal 3 binary64)) (pow.f64 (.f64 (neg.f64 x) a) #s(literal 3 binary64))) (fma.f64 #s(literal 1 binary64) #s(literal 1 binary64) (fma.f64 (.f64 (neg.f64 x) a) (.f64 (neg.f64 x) a) (.f64 #s(literal 1 binary64) (*.f64 (neg.f64 x) a)))))
(/.f64 (-.f64 (.f64 #s(literal 1 binary64) #s(literal 1 binary64)) (.f64 (.f64 x a) (.f64 x a))) (-.f64 #s(literal 1 binary64) (*.f64 x a)))
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(/.f64 (-.f64 (pow.f64 (.f64 x a) #s(literal 3 binary64)) (pow.f64 #s(literal -1 binary64) #s(literal 3 binary64))) (fma.f64 (.f64 x a) (.f64 x a) (fma.f64 #s(literal -1 binary64) #s(literal -1 binary64) (.f64 (*.f64 x a) #s(literal -1 binary64)))))
(/.f64 (-.f64 (.f64 (.f64 x a) (.f64 x a)) (.f64 #s(literal 1 binary64) #s(literal 1 binary64))) (-.f64 (*.f64 x a) #s(literal 1 binary64)))
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(/.f64 (fma.f64 x a #s(literal 1 binary64)) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (fma.f64 x (+.f64 a a) #s(literal 2 binary64))))
(neg.f64 (-.f64 #s(literal -1 binary64) (*.f64 x a)))
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(fma.f64 (/.f64 (fma.f64 x (+.f64 a a) #s(literal 2 binary64)) #s(literal 4 binary64)) #s(literal 2 binary64) #s(literal 0 binary64))
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(fma.f64 (neg.f64 x) (neg.f64 a) #s(literal 1 binary64))
(fma.f64 (neg.f64 a) (neg.f64 x) #s(literal 1 binary64))
(fma.f64 x a #s(literal 1 binary64))
(fma.f64 a x #s(literal 1 binary64))
(-.f64 (+.f64 (fma.f64 x a #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))
(-.f64 (*.f64 x a) #s(literal -1 binary64))
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(-.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) (*.f64 (neg.f64 x) a)))
(-.f64 #s(literal 1 binary64) (-.f64 (*.f64 (neg.f64 x) a) #s(literal 0 binary64)))
(-.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (*.f64 x a)))
(-.f64 #s(literal 1 binary64) (*.f64 (neg.f64 x) a))
(+.f64 (fma.f64 x a #s(literal 1/2 binary64)) #s(literal 1/2 binary64))
(+.f64 (/.f64 (*.f64 x (+.f64 a a)) #s(literal 2 binary64)) #s(literal 1 binary64))
(+.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 x a)))
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(+.f64 #s(literal 0 binary64) (fma.f64 x a #s(literal 1 binary64)))
(+.f64 (*.f64 x a) #s(literal 1 binary64))
(+.f64 (fma.f64 x a #s(literal 1 binary64)) #s(literal 0 binary64))
(+.f64 #s(literal 1 binary64) (*.f64 x a))
#s(approx (exp (* a x)) (fma.f64 x a #s(literal 1 binary64)))
(neg.f64 (neg.f64 #s(approx (exp (* a x)) (fma.f64 x a #s(literal 1 binary64)))))
(.f64 (/.f64 (fma.f64 #s(literal 2 binary64) #s(approx (exp ( a x)) (fma.f64 x a #s(literal 1 binary64))) #s(literal -2 binary64)) #s(literal 8 binary64)) #s(literal 4 binary64))
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(.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 0 binary64) (-.f64 #s(approx (exp ( a x)) (fma.f64 x a #s(literal 1 binary64))) #s(literal 1 binary64)))) (-.f64 #s(approx (exp (* a x)) (fma.f64 x a #s(literal 1 binary64))) #s(literal 1 binary64)))
(.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(approx (exp ( a x)) (fma.f64 x a #s(literal 1 binary64))) #s(literal -1 binary64))) #s(literal -1 binary64))
(.f64 (fma.f64 #s(literal 2 binary64) #s(approx (exp ( a x)) (fma.f64 x a #s(literal 1 binary64))) #s(literal -2 binary64)) #s(literal 1/2 binary64))
(.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) #s(approx (exp ( a x)) (fma.f64 x a #s(literal 1 binary64))))) #s(approx (exp (* a x)) (fma.f64 x a #s(literal 1 binary64))))
(.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (exp ( a x)) (fma.f64 x a #s(literal 1 binary64))))) #s(approx (exp (* a x)) (fma.f64 x a #s(literal 1 binary64))))
(/.f64 (/.f64 (fma.f64 #s(literal 2 binary64) #s(approx (exp (* a x)) (fma.f64 x a #s(literal 1 binary64))) #s(literal -2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64))
(/.f64 (fma.f64 #s(approx (exp (* a x)) (fma.f64 x a #s(literal 1 binary64))) #s(literal -2 binary64) #s(literal 2 binary64)) #s(literal -2 binary64))
(/.f64 (-.f64 (.f64 (-.f64 #s(approx (exp ( a x)) (fma.f64 x a #s(literal 1 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)) #s(literal 0 binary64)) #s(literal 2 binary64))
(/.f64 (-.f64 (.f64 #s(approx (exp ( a x)) (fma.f64 x a #s(literal 1 binary64))) #s(literal -2 binary64)) #s(literal -2 binary64)) #s(literal -2 binary64))
(/.f64 (-.f64 (.f64 #s(approx (exp ( a x)) (fma.f64 x a #s(literal 1 binary64))) #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))
(/.f64 (-.f64 (.f64 #s(literal -1 binary64) #s(literal -1 binary64)) (.f64 (neg.f64 #s(approx (exp (* a x)) (fma.f64 x a #s(literal 1 binary64)))) (neg.f64 #s(approx (exp (* a x)) (fma.f64 x a #s(literal 1 binary64)))))) (+.f64 #s(literal -1 binary64) (neg.f64 #s(approx (exp (* a x)) (fma.f64 x a #s(literal 1 binary64))))))
(/.f64 (-.f64 (.f64 (-.f64 #s(approx (exp ( a x)) (fma.f64 x a #s(literal 1 binary64))) #s(literal 1 binary64)) (-.f64 #s(approx (exp (* a x)) (fma.f64 x a #s(literal 1 binary64))) #s(literal 1 binary64))) (.f64 #s(literal 0 binary64) #s(literal 0 binary64))) (-.f64 #s(approx (exp ( a x)) (fma.f64 x a #s(literal 1 binary64))) #s(literal 1 binary64)))
(/.f64 (-.f64 (pow.f64 #s(literal -1 binary64) #s(literal 3 binary64)) (pow.f64 (neg.f64 #s(approx (exp (* a x)) (fma.f64 x a #s(literal 1 binary64)))) #s(literal 3 binary64))) (fma.f64 #s(literal -1 binary64) #s(literal -1 binary64) (fma.f64 (neg.f64 #s(approx (exp (* a x)) (fma.f64 x a #s(literal 1 binary64)))) (neg.f64 #s(approx (exp (* a x)) (fma.f64 x a #s(literal 1 binary64)))) (.f64 #s(literal -1 binary64) (neg.f64 #s(approx (exp ( a x)) (fma.f64 x a #s(literal 1 binary64))))))))
(/.f64 (-.f64 (pow.f64 (-.f64 #s(approx (exp (* a x)) (fma.f64 x a #s(literal 1 binary64))) #s(literal 1 binary64)) #s(literal 3 binary64)) (pow.f64 #s(literal 0 binary64) #s(literal 3 binary64))) (fma.f64 (-.f64 #s(approx (exp (* a x)) (fma.f64 x a #s(literal 1 binary64))) #s(literal 1 binary64)) (-.f64 #s(approx (exp (* a x)) (fma.f64 x a #s(literal 1 binary64))) #s(literal 1 binary64)) (fma.f64 #s(literal 0 binary64) #s(literal 0 binary64) (.f64 (-.f64 #s(approx (exp ( a x)) (fma.f64 x a #s(literal 1 binary64))) #s(literal 1 binary64)) #s(literal 0 binary64)))))
(/.f64 (-.f64 (.f64 (fma.f64 #s(literal 2 binary64) #s(approx (exp ( a x)) (fma.f64 x a #s(literal 1 binary64))) #s(literal -2 binary64)) #s(literal 2 binary64)) #s(literal 0 binary64)) #s(literal 4 binary64))
(/.f64 (neg.f64 (fma.f64 #s(literal 2 binary64) #s(approx (exp (* a x)) (fma.f64 x a #s(literal 1 binary64))) #s(literal -2 binary64))) #s(literal -2 binary64))
(/.f64 (fma.f64 #s(literal 2 binary64) #s(approx (exp (* a x)) (fma.f64 x a #s(literal 1 binary64))) #s(literal -2 binary64)) #s(literal 2 binary64))
(/.f64 (-.f64 (.f64 #s(literal -1 binary64) #s(literal -1 binary64)) (.f64 #s(approx (exp (* a x)) (fma.f64 x a #s(literal 1 binary64))) #s(approx (exp (* a x)) (fma.f64 x a #s(literal 1 binary64))))) (-.f64 #s(literal -1 binary64) #s(approx (exp (* a x)) (fma.f64 x a #s(literal 1 binary64)))))
(/.f64 (+.f64 (pow.f64 #s(literal -1 binary64) #s(literal 3 binary64)) (pow.f64 #s(approx (exp (* a x)) (fma.f64 x a #s(literal 1 binary64))) #s(literal 3 binary64))) (fma.f64 #s(literal -1 binary64) #s(literal -1 binary64) (-.f64 (.f64 #s(approx (exp ( a x)) (fma.f64 x a #s(literal 1 binary64))) #s(approx (exp (* a x)) (fma.f64 x a #s(literal 1 binary64)))) (.f64 #s(literal -1 binary64) #s(approx (exp ( a x)) (fma.f64 x a #s(literal 1 binary64)))))))
(/.f64 (-.f64 (.f64 #s(approx (exp ( a x)) (fma.f64 x a #s(literal 1 binary64))) #s(approx (exp (* a x)) (fma.f64 x a #s(literal 1 binary64)))) (.f64 #s(literal -1 binary64) #s(literal -1 binary64))) (-.f64 #s(approx (exp ( a x)) (fma.f64 x a #s(literal 1 binary64))) #s(literal -1 binary64)))
(/.f64 (+.f64 (pow.f64 #s(approx (exp (* a x)) (fma.f64 x a #s(literal 1 binary64))) #s(literal 3 binary64)) (pow.f64 #s(literal -1 binary64) #s(literal 3 binary64))) (fma.f64 #s(approx (exp (* a x)) (fma.f64 x a #s(literal 1 binary64))) #s(approx (exp (* a x)) (fma.f64 x a #s(literal 1 binary64))) (-.f64 (.f64 #s(literal -1 binary64) #s(literal -1 binary64)) (.f64 #s(approx (exp (* a x)) (fma.f64 x a #s(literal 1 binary64))) #s(literal -1 binary64)))))
(/.f64 (-.f64 (.f64 #s(approx (exp ( a x)) (fma.f64 x a #s(literal 1 binary64))) #s(approx (exp (* a x)) (fma.f64 x a #s(literal 1 binary64)))) (.f64 #s(literal 1 binary64) #s(literal 1 binary64))) (+.f64 #s(approx (exp ( a x)) (fma.f64 x a #s(literal 1 binary64))) #s(literal 1 binary64)))
(/.f64 (-.f64 (pow.f64 #s(approx (exp (* a x)) (fma.f64 x a #s(literal 1 binary64))) #s(literal 3 binary64)) (pow.f64 #s(literal 1 binary64) #s(literal 3 binary64))) (fma.f64 #s(approx (exp (* a x)) (fma.f64 x a #s(literal 1 binary64))) #s(approx (exp (* a x)) (fma.f64 x a #s(literal 1 binary64))) (fma.f64 #s(literal 1 binary64) #s(literal 1 binary64) (.f64 #s(approx (exp ( a x)) (fma.f64 x a #s(literal 1 binary64))) #s(literal 1 binary64)))))
(/.f64 (-.f64 #s(approx (exp (* a x)) (fma.f64 x a #s(literal 1 binary64))) #s(literal 1 binary64)) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (fma.f64 #s(literal 2 binary64) #s(approx (exp (* a x)) (fma.f64 x a #s(literal 1 binary64))) #s(literal -2 binary64))))
(neg.f64 (-.f64 #s(literal 1 binary64) #s(approx (exp (* a x)) (fma.f64 x a #s(literal 1 binary64)))))
(fma.f64 (/.f64 (fma.f64 #s(literal 2 binary64) #s(approx (exp (* a x)) (fma.f64 x a #s(literal 1 binary64))) #s(literal -2 binary64)) #s(literal 8 binary64)) #s(literal 4 binary64) #s(literal 0 binary64))
(fma.f64 (/.f64 (fma.f64 #s(literal 2 binary64) #s(approx (exp (* a x)) (fma.f64 x a #s(literal 1 binary64))) #s(literal -2 binary64)) #s(literal 4 binary64)) #s(literal 2 binary64) #s(literal 0 binary64))
(fma.f64 (-.f64 #s(literal 1 binary64) (/.f64 (neg.f64 #s(approx (exp (* a x)) (fma.f64 x a #s(literal 1 binary64)))) #s(literal -1 binary64))) #s(literal -1 binary64) #s(literal 0 binary64))
(fma.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 0 binary64) (-.f64 #s(approx (exp (* a x)) (fma.f64 x a #s(literal 1 binary64))) #s(literal 1 binary64)))) (-.f64 #s(approx (exp (* a x)) (fma.f64 x a #s(literal 1 binary64))) #s(literal 1 binary64)) #s(literal 0 binary64))
(fma.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(approx (exp (* a x)) (fma.f64 x a #s(literal 1 binary64))) #s(literal -1 binary64))) #s(literal -1 binary64) #s(literal 0 binary64))
(fma.f64 (fma.f64 #s(literal 2 binary64) #s(approx (exp (* a x)) (fma.f64 x a #s(literal 1 binary64))) #s(literal -2 binary64)) #s(literal 1/2 binary64) #s(literal 0 binary64))
(fma.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) #s(approx (exp (* a x)) (fma.f64 x a #s(literal 1 binary64))))) #s(approx (exp (* a x)) (fma.f64 x a #s(literal 1 binary64))) #s(literal 0 binary64))
(fma.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (exp (* a x)) (fma.f64 x a #s(literal 1 binary64))))) #s(approx (exp (* a x)) (fma.f64 x a #s(literal 1 binary64))) #s(literal 0 binary64))
(-.f64 (-.f64 #s(approx (exp (* a x)) (fma.f64 x a #s(literal 1 binary64))) #s(literal 1/2 binary64)) #s(literal 1/2 binary64))
(-.f64 (-.f64 #s(approx (exp (* a x)) (fma.f64 x a #s(literal 1 binary64))) #s(literal 0 binary64)) #s(literal 1 binary64))
(-.f64 (/.f64 (.f64 #s(literal 2 binary64) #s(approx (exp ( a x)) (fma.f64 x a #s(literal 1 binary64)))) #s(literal 2 binary64)) #s(literal 1 binary64))
(-.f64 #s(literal -1 binary64) (neg.f64 #s(approx (exp (* a x)) (fma.f64 x a #s(literal 1 binary64)))))
(-.f64 (-.f64 #s(approx (exp (* a x)) (fma.f64 x a #s(literal 1 binary64))) #s(literal 1 binary64)) #s(literal 0 binary64))
(-.f64 #s(approx (exp (* a x)) (fma.f64 x a #s(literal 1 binary64))) #s(literal 1 binary64))
(+.f64 (-.f64 (-.f64 #s(approx (exp (* a x)) (fma.f64 x a #s(literal 1 binary64))) #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))
(+.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (neg.f64 #s(approx (exp (* a x)) (fma.f64 x a #s(literal 1 binary64))))))
(+.f64 #s(literal -1 binary64) (+.f64 #s(literal 0 binary64) #s(approx (exp (* a x)) (fma.f64 x a #s(literal 1 binary64)))))
(+.f64 #s(literal -1 binary64) (-.f64 #s(approx (exp (* a x)) (fma.f64 x a #s(literal 1 binary64))) #s(literal 0 binary64)))
(+.f64 #s(literal -1 binary64) #s(approx (exp (* a x)) (fma.f64 x a #s(literal 1 binary64))))
(+.f64 (-.f64 #s(approx (exp (* a x)) (fma.f64 x a #s(literal 1 binary64))) #s(literal 1 binary64)) #s(literal 0 binary64))
(+.f64 #s(approx (exp (* a x)) (fma.f64 x a #s(literal 1 binary64))) #s(literal -1 binary64))

eval44.0ms (2.9%)

Memory: -43.3MiB live, 17.8MiB allocated; 33ms collecting garbage
Compiler: Compiled 2 398 to 473 computations (80.3% saved)

prune3.0ms (0.2%)

Memory

6.8MiB live, 6.8MiB allocated; 0ms collecting garbage

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	120	1	121
Fresh	0	0	0
Picked	1	0	1
Done	0	2	2
Total	121	3	124

Accuracy

100.0%

Counts

124 → 3

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	18.4%	(-.f64 #s(approx (exp (* a x)) #s(literal 1 binary64)) #s(literal 1 binary64))
✓	100.0%	(expm1.f64 (*.f64 x a))
▶	69.3%	#s(approx (- (exp (* a x)) 1) (*.f64 a x))

Compiler

Compiled 22 to 19 computations (13.6% saved)

sample0.0ms (0.0%)

Memory

0.1MiB live, 0.1MiB allocated; 0ms collecting garbage

Calls

Call 1

Inputs

Outputs

series6.0ms (0.4%)

Memory

8.4MiB live, 8.4MiB allocated; 0ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	68	160

Stop Event

1×	iter-limit

Counts

4 → 10

Calls

Call 1

Inputs
a
x
(*.f64 a x)
#s(approx (- (exp (* a x)) 1) (*.f64 a x))

Outputs
#s(approx a a)
#s(approx (* a x) (*.f64 a x))
#s(approx (- (exp (* a x)) 1) (.f64 a (+.f64 x (.f64 #s(literal 1/2 binary64) (*.f64 a (pow.f64 x #s(literal 2 binary64)))))))
#s(approx (- (exp (* a x)) 1) (.f64 a (+.f64 x (.f64 a (fma.f64 #s(literal 1/6 binary64) (.f64 a (pow.f64 x #s(literal 3 binary64))) (.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64))))))))
#s(approx (- (exp (* a x)) 1) (.f64 a (+.f64 x (.f64 a (fma.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)) (.f64 a (fma.f64 #s(literal 1/24 binary64) (.f64 a (pow.f64 x #s(literal 4 binary64))) (*.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 3 binary64))))))))))
#s(approx (- (exp (* a x)) 1) (expm1.f64 (*.f64 a x)))
#s(approx x x)
#s(approx (- (exp (* a x)) 1) (.f64 x (+.f64 a (.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 a #s(literal 2 binary64)) x)))))
#s(approx (- (exp (* a x)) 1) (.f64 x (+.f64 a (.f64 x (fma.f64 #s(literal 1/6 binary64) (.f64 (pow.f64 a #s(literal 3 binary64)) x) (.f64 #s(literal 1/2 binary64) (pow.f64 a #s(literal 2 binary64))))))))
#s(approx (- (exp (* a x)) 1) (.f64 x (+.f64 a (.f64 x (fma.f64 #s(literal 1/2 binary64) (pow.f64 a #s(literal 2 binary64)) (.f64 x (fma.f64 #s(literal 1/24 binary64) (.f64 (pow.f64 a #s(literal 4 binary64)) x) (*.f64 #s(literal 1/6 binary64) (pow.f64 a #s(literal 3 binary64))))))))))

Calls

6 calls:

Time	Variable	Point
0.0ms	a	-inf
0.0ms	x	-inf
0.0ms	a	inf
0.0ms	x	inf
0.0ms	a	0

rewrite118.0ms (7.8%)

Memory

20.9MiB live, 256.9MiB allocated; 21ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	15
0	9	15
1	40	15
2	122	15
3	552	15
0	4044	13

Stop Event

1×	iter-limit
1×	node-limit
1×	iter-limit

Counts

4 → 5

Calls

Call 1

Inputs
a
x
(*.f64 a x)
#s(approx (- (exp (* a x)) 1) (*.f64 a x))

Outputs
a
x
(*.f64 x a)
(*.f64 a x)
#s(approx (- (exp (* a x)) 1) (*.f64 x a))

eval1.0ms (0.1%)

Memory: 4.3MiB live, 4.3MiB allocated; 0ms collecting garbage
Compiler: Compiled 219 to 74 computations (66.2% saved)

prune4.0ms (0.3%)

Memory

-41.5MiB live, 4.0MiB allocated; 6ms collecting garbage

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	12	0	12
Fresh	0	0	0
Picked	1	0	1
Done	-1	3	2
Total	12	3	15

Accuracy

100.0%

Counts

15 → 3

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	18.4%	(-.f64 #s(approx (exp (* a x)) #s(literal 1 binary64)) #s(literal 1 binary64))
✓	100.0%	(expm1.f64 (*.f64 x a))
✓	69.3%	#s(approx (- (exp (* a x)) 1) (*.f64 a x))

Compiler

Compiled 22 to 19 computations (13.6% saved)

regimes35.0ms (2.3%)

Memory

-2.0MiB live, 96.3MiB allocated; 11ms collecting garbage

Counts

1 → 1

4 → 1

6 → 1

Calls

Call 1

Inputs
(-.f64 #s(approx (exp (* a x)) #s(literal 1 binary64)) #s(literal 1 binary64))

Outputs
(-.f64 #s(approx (exp (* a x)) #s(literal 1 binary64)) #s(literal 1 binary64))

Call 2

Inputs
(-.f64 #s(approx (exp (* a x)) #s(literal 1 binary64)) #s(literal 1 binary64))
#s(approx (- (exp (* a x)) 1) (*.f64 a x))
(-.f64 #s(approx (exp (* a x)) (fma.f64 x a #s(literal 1 binary64))) #s(literal 1 binary64))
(-.f64 #s(approx (exp (* a x)) (+.f64 #s(literal 1 binary64) (*.f64 a x))) #s(literal 1 binary64))

Outputs
#s(approx (- (exp (* a x)) 1) (*.f64 a x))

Call 3

Inputs
(-.f64 #s(approx (exp (* a x)) #s(literal 1 binary64)) #s(literal 1 binary64))
#s(approx (- (exp (* a x)) 1) (*.f64 a x))
(-.f64 #s(approx (exp (* a x)) (fma.f64 x a #s(literal 1 binary64))) #s(literal 1 binary64))
(-.f64 #s(approx (exp (* a x)) (+.f64 #s(literal 1 binary64) (*.f64 a x))) #s(literal 1 binary64))
(expm1.f64 (*.f64 x a))
(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))

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

Calls

15 calls:

6.0ms	x
4.0ms	x
3.0ms	a
3.0ms	x
2.0ms	(*.f64 a x)

Results

Accuracy	Segments	Branch
18.4%	1	`x`
18.4%	1	`(exp.f64 (*.f64 a x))`
18.4%	1	`(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))`
18.4%	1	`a`
18.4%	1	`(*.f64 a x)`
69.3%	1	`(*.f64 a x)`
69.3%	1	`(exp.f64 (*.f64 a x))`
69.3%	1	`(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))`
69.3%	1	`a`
69.3%	1	`x`
100.0%	1	`(*.f64 a x)`
100.0%	1	`(exp.f64 (*.f64 a x))`
100.0%	1	`(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))`
100.0%	1	`a`
100.0%	1	`x`

Compiler

Compiled 96 to 72 computations (25.0% saved)

derivations27.0ms (1.8%)

Memory

32.9MiB live, 32.9MiB allocated; 0ms collecting garbage

Stop Event

1×

done

Compiler

Compiled 22 to 13 computations (40.9% saved)

preprocess39.0ms (2.6%)

Memory: -21.3MiB live, 25.0MiB allocated; 3ms collecting garbage
Compiler: Compiled 76 to 61 computations (19.7% saved)

end0.0ms (0.0%)

Memory: 0.0MiB live, 0.0MiB allocated; 0ms collecting garbage

start0.0ms (0.0%)

analyze31.0ms (2.1%)

sample582.0ms (38.1%)

preprocess35.0ms (2.3%)

sample0.0ms (0.0%)

series11.0ms (0.8%)

rewrite183.0ms (12.0%)

eval29.0ms (1.9%)

prune12.0ms (0.8%)

sample0.0ms (0.0%)

series8.0ms (0.5%)

rewrite178.0ms (11.6%)

eval27.0ms (1.8%)

prune17.0ms (1.1%)

sample0.0ms (0.0%)

series6.0ms (0.4%)

rewrite127.0ms (8.3%)

eval44.0ms (2.9%)

prune3.0ms (0.2%)

sample0.0ms (0.0%)

series6.0ms (0.4%)

rewrite118.0ms (7.8%)

eval1.0ms (0.1%)

prune4.0ms (0.3%)

regimes35.0ms (2.3%)

derivations27.0ms (1.8%)

preprocess39.0ms (2.6%)

end0.0ms (0.0%)

Profiling