Metrics for expax (section 3.5)

start0.0ms (0.0%)

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

analyze18.0ms (1.6%)

Memory

35.0MiB live, 35.0MiB allocated; 0ms 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)

sample507.0ms (45.5%)

Memory

-8.4MiB live, 740.9MiB allocated; 139ms collecting garbage

Samples

283.0ms	8 256×	0	valid
14.0ms	330×	0	invalid

Precisions

Click to see histograms. Total time spent on operations: 125.0ms

ival-expm1: 71.0ms (56.8% of total)

ival-mult!: 50.0ms (40.0% of total)

adjust: 2.0ms (1.6% of total)

ival->: 1.0ms (0.8% of total)

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

Bogosity

preprocess42.0ms (3.8%)

Memory

-29.2MiB live, 33.6MiB allocated; 36ms 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
▶	52.8%	(-.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

0.2MiB live, 0.2MiB 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 (1.0%)

Memory

19.3MiB live, 19.3MiB allocated; 0ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	80	272

Stop Event

1×	iter-limit

Counts

6 → 17

Calls

Call 1

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

Outputs
#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 (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 a a)
#s(approx (- (exp (* a x)) 1) (expm1.f64 (*.f64 a x)))
#s(approx (exp (* a x)) (exp.f64 (*.f64 a 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))))))))))
#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 x x)

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

rewrite109.0ms (9.8%)

Memory

-6.8MiB live, 182.6MiB allocated; 17ms 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
(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))
(exp.f64 (*.f64 a x))
(*.f64 a x)
a
x
#s(literal 1 binary64)

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

eval33.0ms (3.0%)

Memory: 8.9MiB live, 53.9MiB allocated; 5ms collecting garbage
Compiler: Compiled 7 059 to 1 088 computations (84.6% saved)

prune7.0ms (0.7%)

Memory

12.5MiB live, 12.5MiB allocated; 0ms collecting garbage

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	375	4	379
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	376	4	380

Accuracy

100.0%

Counts

380 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	21.7%	(-.f64 #s(approx (exp (* a x)) (+.f64 #s(literal 1 binary64) (*.f64 a x))) #s(literal 1 binary64))
▶	20.3%	(-.f64 #s(approx (exp (* a x)) #s(literal 1 binary64)) #s(literal 1 binary64))
▶	100.0%	(expm1.f64 (*.f64 x a))
▶	68.6%	#s(approx (- (exp (* a x)) 1) (*.f64 a x))

Compiler

Compiled 34 to 28 computations (17.6% saved)

sample0.0ms (0.0%)

Memory

0.2MiB live, 0.2MiB 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 (0.7%)

Memory

10.8MiB live, 10.8MiB allocated; 0ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	99	332

Stop Event

1×	iter-limit

Counts

12 → 21

Calls

Call 1

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

Outputs
#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 a a)
#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) (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 (- (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 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 (+ 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

rewrite115.0ms (10.3%)

Memory

-23.9MiB live, 116.2MiB allocated; 14ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	64
0	22	62
1	131	62
2	329	62
3	932	62
0	4072	59

Stop Event

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

Counts

12 → 314

Calls

Call 1

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

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

eval41.0ms (3.7%)

Memory: 2.0MiB live, 46.5MiB allocated; 5ms collecting garbage
Compiler: Compiled 6 782 to 1 116 computations (83.5% saved)

prune7.0ms (0.6%)

Memory

11.4MiB live, 11.4MiB allocated; 0ms collecting garbage

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	327	1	328
Fresh	0	0	0
Picked	1	3	4
Done	0	0	0
Total	328	4	332

Accuracy

100.0%

Counts

332 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	21.7%	(-.f64 #s(approx (exp (* a x)) (fma.f64 x a #s(literal 1 binary64))) #s(literal 1 binary64))
✓	20.3%	(-.f64 #s(approx (exp (* a x)) #s(literal 1 binary64)) #s(literal 1 binary64))
✓	100.0%	(expm1.f64 (*.f64 x a))
✓	68.6%	#s(approx (- (exp (* a x)) 1) (*.f64 a x))

Compiler

Compiled 33 to 27 computations (18.2% saved)

sample0.0ms (0.0%)

Memory

0.2MiB live, 0.2MiB 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 (0.6%)

Memory

7.4MiB live, 7.4MiB 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
(-.f64 #s(approx (exp (* a x)) (fma.f64 x a #s(literal 1 binary64))) #s(literal 1 binary64))
#s(approx (exp (* a x)) (fma.f64 x a #s(literal 1 binary64)))
(fma.f64 x a #s(literal 1 binary64))
x
a
#s(literal 1 binary64)

Outputs
#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 (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 a a)
#s(approx (- (exp (* a x)) 1) (expm1.f64 (*.f64 a x)))
#s(approx (exp (* a x)) (exp.f64 (*.f64 a x)))
#s(approx (+ (* x a) 1) (*.f64 a (+.f64 x (/.f64 #s(literal 1 binary64) a))))
#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 (- (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 (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 x x)
#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	a	-inf
0.0ms	x	-inf
0.0ms	a	inf
0.0ms	x	inf
0.0ms	a	0

rewrite118.0ms (10.6%)

Memory

1.6MiB live, 93.2MiB allocated; 6ms 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
(-.f64 #s(approx (exp (* a x)) (fma.f64 x a #s(literal 1 binary64))) #s(literal 1 binary64))
#s(approx (exp (* a x)) (fma.f64 x a #s(literal 1 binary64)))
(fma.f64 x a #s(literal 1 binary64))
x
a
#s(literal 1 binary64)

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

eval11.0ms (1.0%)

Memory: 18.2MiB live, 18.2MiB allocated; 0ms collecting garbage
Compiler: Compiled 2 357 to 468 computations (80.1% saved)

prune11.0ms (1.0%)

Memory

-43.8MiB live, 6.5MiB allocated; 7ms collecting garbage

Pruning

4 alts after pruning (0 fresh and 4 done)

	Pruned	Kept	Total
New	118	0	118
Fresh	0	0	0
Picked	0	1	1
Done	0	3	3
Total	118	4	122

Accuracy

100.0%

Counts

122 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	21.7%	(-.f64 #s(approx (exp (* a x)) (fma.f64 x a #s(literal 1 binary64))) #s(literal 1 binary64))
✓	20.3%	(-.f64 #s(approx (exp (* a x)) #s(literal 1 binary64)) #s(literal 1 binary64))
✓	100.0%	(expm1.f64 (*.f64 x a))
✓	68.6%	#s(approx (- (exp (* a x)) 1) (*.f64 a x))

Compiler

Compiled 33 to 27 computations (18.2% saved)

regimes27.0ms (2.4%)

Memory

2.7MiB live, 47.6MiB allocated; 4ms collecting garbage

Accuracy

Total -0.0b remaining (-0.0%)

Threshold costs -0b (-0.0%)

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:

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

Results

Accuracy	Segments	Branch
20.3%	1	`a`
20.3%	1	`(*.f64 a x)`
20.3%	1	`(exp.f64 (*.f64 a x))`
20.3%	1	`(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))`
20.3%	1	`x`
68.6%	1	`(*.f64 a x)`
68.6%	1	`(exp.f64 (*.f64 a x))`
68.6%	1	`(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))`
68.6%	1	`a`
68.6%	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)

derivations14.0ms (1.3%)

Memory

26.3MiB live, 26.3MiB allocated; 0ms collecting garbage

Stop Event

1×

done

Compiler

Compiled 22 to 13 computations (40.9% saved)

preprocess28.0ms (2.5%)

Memory: 18.1MiB live, 62.9MiB allocated; 7ms collecting garbage
Remove: (sort a x)
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%)

analyze18.0ms (1.6%)

sample507.0ms (45.5%)

preprocess42.0ms (3.8%)

sample0.0ms (0.0%)

series11.0ms (1.0%)

rewrite109.0ms (9.8%)

eval33.0ms (3.0%)

prune7.0ms (0.7%)

sample0.0ms (0.0%)

series8.0ms (0.7%)

rewrite115.0ms (10.3%)

eval41.0ms (3.7%)

prune7.0ms (0.6%)

sample0.0ms (0.0%)

series6.0ms (0.6%)

rewrite118.0ms (10.6%)

eval11.0ms (1.0%)

prune11.0ms (1.0%)

regimes27.0ms (2.4%)

derivations14.0ms (1.3%)

preprocess28.0ms (2.5%)

end0.0ms (0.0%)

Profiling