Metrics for expax (section 3.5)

start0.0ms (0.0%)

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

analyze23.0ms (1.1%)

Memory

1.0MiB live, 45.8MiB allocated; 11ms 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)

sample717.0ms (36.5%)

Memory

16.6MiB live, 925.5MiB allocated; 315ms collecting garbage

Samples

389.0ms	8 256×	0	valid
12.0ms	306×	0	invalid

Precisions

Click to see histograms. Total time spent on operations: 144.0ms

ival-mult!: 74.0ms (51.5% of total)

ival-expm1: 67.0ms (46.7% of total)

adjust: 2.0ms (1.4% of total)

ival->: 1.0ms (0.7% of total)

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

Bogosity

preprocess39.0ms (2.0%)

Memory

2.8MiB live, 47.4MiB allocated; 9ms 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
▶	54.5%	(-.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

0.5MiB live, 0.5MiB 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)

series425.0ms (21.6%)

Memory

-126.5MiB live, 41.6MiB allocated; 885ms 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
414.0ms	x	-inf
1.0ms	a	-inf
1.0ms	a	0
1.0ms	a	inf
1.0ms	x	0

rewrite138.0ms (7.0%)

Memory

-22.6MiB live, 286.5MiB allocated; 43ms 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)

eval36.0ms (1.8%)

Memory: 13.5MiB live, 106.6MiB allocated; 10ms collecting garbage
Compiler: Compiled 7 059 to 1 088 computations (84.6% saved)

prune23.0ms (1.2%)

Memory

-13.3MiB live, 23.2MiB allocated; 17ms collecting garbage

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	374	5	379
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	375	5	380

Accuracy

100.0%

Counts

380 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	19.4%	(-.f64 #s(approx (exp (* a x)) (+.f64 #s(literal 1 binary64) (*.f64 a x))) #s(literal 1 binary64))
▶	17.8%	(-.f64 #s(approx (exp (* a x)) #s(literal 1 binary64)) #s(literal 1 binary64))
▶	100.0%	(expm1.f64 (*.f64 x a))
▶	56.4%	#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)))))
▶	64.5%	#s(approx (- (exp (* a x)) 1) (*.f64 a x))

Compiler

Compiled 104 to 84 computations (19.2% saved)

sample0.0ms (0.0%)

Memory

0.6MiB live, 0.6MiB allocated; 0ms collecting garbage

Calls

Call 1

Inputs
1
1/2
2

Outputs
#s(literal 1 binary64)
#s(literal 1/2 binary64)
#s(literal 2 binary64)

Samples

0.0ms

1×

valid

Compiler

Compiled 5 to 5 computations (0.0% saved)

Precisions

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

adjust: 0.0ms (0.0% of total)

series30.0ms (1.6%)

Memory

7.5MiB live, 49.2MiB allocated; 18ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	134	536

Stop Event

1×	iter-limit

Counts

20 → 32

Calls

Call 1

Inputs
(expm1.f64 (*.f64 x a))
(*.f64 x a)
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)
#s(approx (- (exp (* a x)) 1) (*.f64 a x))
(*.f64 a x)
(-.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))
#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)))))
(.f64 x (+.f64 a (.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 a #s(literal 2 binary64)) x))))
(+.f64 a (.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 a #s(literal 2 binary64)) x)))
(.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 a #s(literal 2 binary64)) x))
#s(literal 1/2 binary64)
(*.f64 (pow.f64 a #s(literal 2 binary64)) x)
(pow.f64 a #s(literal 2 binary64))
#s(literal 2 binary64)

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

Calls

6 calls:

Time	Variable	Point
3.0ms	x	-inf
2.0ms	a	0
1.0ms	a	-inf
1.0ms	x	inf
1.0ms	a	inf

rewrite168.0ms (8.6%)

Memory

15.9MiB live, 166.3MiB allocated; 50ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	23	119
0	35	115
1	184	115
2	523	115
3	1502	115
0	4230	109

Stop Event

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

Counts

20 → 447

Calls

Call 1

Inputs
(expm1.f64 (*.f64 x a))
(*.f64 x a)
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)
#s(approx (- (exp (* a x)) 1) (*.f64 a x))
(*.f64 a x)
(-.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))
#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)))))
(.f64 x (+.f64 a (.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 a #s(literal 2 binary64)) x))))
(+.f64 a (.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 a #s(literal 2 binary64)) x)))
(.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 a #s(literal 2 binary64)) x))
#s(literal 1/2 binary64)
(*.f64 (pow.f64 a #s(literal 2 binary64)) x)
(pow.f64 a #s(literal 2 binary64))
#s(literal 2 binary64)

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

eval49.0ms (2.5%)

Memory: 3.7MiB live, 93.8MiB allocated; 7ms collecting garbage
Compiler: Compiled 9 502 to 1 713 computations (82.0% saved)

prune37.0ms (1.9%)

Memory

-39.7MiB live, 17.8MiB allocated; 42ms collecting garbage

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	463	2	465
Fresh	0	0	0
Picked	2	3	5
Done	0	0	0
Total	465	5	470

Accuracy

100.0%

Counts

470 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	19.4%	(-.f64 #s(approx (exp (* a x)) (fma.f64 x a #s(literal 1 binary64))) #s(literal 1 binary64))
✓	17.8%	(-.f64 #s(approx (exp (* a x)) #s(literal 1 binary64)) #s(literal 1 binary64))
✓	100.0%	(expm1.f64 (*.f64 x a))
▶	56.4%	#s(approx (- (exp (* a x)) 1) (.f64 (fma.f64 (.f64 (*.f64 a a) x) #s(literal 1/2 binary64) a) x))
✓	64.5%	#s(approx (- (exp (* a x)) 1) (*.f64 a x))

Compiler

Compiled 50 to 39 computations (22.0% saved)

sample0.0ms (0.0%)

Memory

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

Calls

Call 1

Inputs
1/2
1

Outputs
#s(literal 1/2 binary64)
#s(literal 1 binary64)

Samples

0.0ms

1×

valid

Compiler

Compiled 4 to 4 computations (0.0% saved)

Precisions

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

adjust: 0.0ms (0.0% of total)

series12.0ms (0.6%)

Memory

21.0MiB live, 21.0MiB allocated; 0ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	138	532

Stop Event

1×	iter-limit

Counts

12 → 32

Calls

Call 1

Inputs
#s(approx (- (exp (* a x)) 1) (.f64 (fma.f64 (.f64 (*.f64 a a) x) #s(literal 1/2 binary64) a) x))
(.f64 (fma.f64 (.f64 (*.f64 a a) x) #s(literal 1/2 binary64) a) x)
(fma.f64 (.f64 (.f64 a a) x) #s(literal 1/2 binary64) a)
(.f64 (.f64 a a) x)
(*.f64 a a)
a
x
#s(literal 1/2 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)))
(fma.f64 x a #s(literal 1 binary64))
#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 (+ (* (* (* a a) x) 1/2) a) a)
#s(approx (+ (* (* (* a a) x) 1/2) a) (.f64 a (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (*.f64 a x)))))
#s(approx (* (* a a) x) (*.f64 (pow.f64 a #s(literal 2 binary64)) x))
#s(approx (* a a) (pow.f64 a #s(literal 2 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 (* a x)) 1) (expm1.f64 (*.f64 a x)))
#s(approx (* (+ (* (* (* a a) x) 1/2) a) x) (.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))))
#s(approx (* (+ (* (* (* a a) x) 1/2) a) x) (*.f64 (pow.f64 a #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)) (/.f64 x a))))
#s(approx (+ (* (* (* a a) x) 1/2) a) (.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 a #s(literal 2 binary64)) x)))
#s(approx (+ (* (* (* a a) x) 1/2) a) (*.f64 (pow.f64 a #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) x (/.f64 #s(literal 1 binary64) a))))
#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 (+ (* (* (* a a) x) 1/2) a) (+.f64 a (.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 a #s(literal 2 binary64)) 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 (* (+ (* (* (* a a) x) 1/2) a) x) (*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) (pow.f64 a #s(literal 2 binary64)) (/.f64 a x))))
#s(approx (+ (* (* (* a a) x) 1/2) a) (*.f64 x (fma.f64 #s(literal 1/2 binary64) (pow.f64 a #s(literal 2 binary64)) (/.f64 a x))))
#s(approx (+ (* x a) 1) (*.f64 x (+.f64 a (/.f64 #s(literal 1 binary64) x))))
#s(approx (+ (* (* (* a a) x) 1/2) a) (.f64 #s(literal -1 binary64) (.f64 x (fma.f64 #s(literal -1 binary64) (/.f64 a x) (*.f64 #s(literal -1/2 binary64) (pow.f64 a #s(literal 2 binary64)))))))
#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
1.0ms	x	-inf
1.0ms	a	-inf
1.0ms	a	inf
1.0ms	x	inf
1.0ms	a	0

rewrite140.0ms (7.1%)

Memory

7.0MiB live, 189.7MiB allocated; 32ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	71
0	23	71
1	117	71
2	345	71
3	1355	71
0	4165	69

Stop Event

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

Counts

12 → 226

Calls

Call 1

Inputs
#s(approx (- (exp (* a x)) 1) (.f64 (fma.f64 (.f64 (*.f64 a a) x) #s(literal 1/2 binary64) a) x))
(.f64 (fma.f64 (.f64 (*.f64 a a) x) #s(literal 1/2 binary64) a) x)
(fma.f64 (.f64 (.f64 a a) x) #s(literal 1/2 binary64) a)
(.f64 (.f64 a a) x)
(*.f64 a a)
a
x
#s(literal 1/2 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)))
(fma.f64 x a #s(literal 1 binary64))
#s(literal 1 binary64)

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

eval30.0ms (1.5%)

Memory: 12.3MiB live, 58.2MiB allocated; 3ms collecting garbage
Compiler: Compiled 6 088 to 1 183 computations (80.6% saved)

prune10.0ms (0.5%)

Memory

-33.3MiB live, 13.8MiB allocated; 2ms collecting garbage

Pruning

5 alts after pruning (0 fresh and 5 done)

	Pruned	Kept	Total
New	247	0	247
Fresh	0	0	0
Picked	0	2	2
Done	0	3	3
Total	247	5	252

Accuracy

100.0%

Counts

252 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	19.4%	(-.f64 #s(approx (exp (* a x)) (fma.f64 x a #s(literal 1 binary64))) #s(literal 1 binary64))
✓	17.8%	(-.f64 #s(approx (exp (* a x)) #s(literal 1 binary64)) #s(literal 1 binary64))
✓	100.0%	(expm1.f64 (*.f64 x a))
✓	56.4%	#s(approx (- (exp (* a x)) 1) (.f64 (fma.f64 (.f64 (*.f64 a a) x) #s(literal 1/2 binary64) a) x))
✓	64.5%	#s(approx (- (exp (* a x)) 1) (*.f64 a x))

Compiler

Compiled 50 to 39 computations (22.0% saved)

regimes35.0ms (1.8%)

Memory

11.6MiB live, 58.1MiB allocated; 2ms collecting garbage

Counts

1 → 1

4 → 1

8 → 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))
#s(approx (- (exp (* a x)) 1) (.f64 (fma.f64 (.f64 (*.f64 a a) x) #s(literal 1/2 binary64) a) x))
(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 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)))))

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

Calls

15 calls:

5.0ms	a
3.0ms	a
3.0ms	x
3.0ms	(*.f64 a x)
2.0ms	a

Results

Accuracy	Segments	Branch
17.8%	1	`(*.f64 a x)`
17.8%	1	`(exp.f64 (*.f64 a x))`
17.8%	1	`(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))`
17.8%	1	`x`
17.8%	1	`a`
64.5%	1	`(*.f64 a x)`
64.5%	1	`(exp.f64 (*.f64 a x))`
64.5%	1	`(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))`
64.5%	1	`a`
64.5%	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 131 to 85 computations (35.1% saved)

derivations15.0ms (0.7%)

Memory

18.5MiB live, 18.5MiB allocated; 0ms collecting garbage

Stop Event

1×

done

Compiler

Compiled 22 to 13 computations (40.9% saved)

preprocess36.0ms (1.8%)

Memory: -19.0MiB live, 31.8MiB allocated; 6ms 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%)

analyze23.0ms (1.1%)

sample717.0ms (36.5%)

preprocess39.0ms (2.0%)

sample0.0ms (0.0%)

series425.0ms (21.6%)

rewrite138.0ms (7.0%)

eval36.0ms (1.8%)

prune23.0ms (1.2%)

sample0.0ms (0.0%)

series30.0ms (1.6%)

rewrite168.0ms (8.6%)

eval49.0ms (2.5%)

prune37.0ms (1.9%)

sample0.0ms (0.0%)

series12.0ms (0.6%)

rewrite140.0ms (7.1%)

eval30.0ms (1.5%)

prune10.0ms (0.5%)

regimes35.0ms (1.8%)

derivations15.0ms (0.7%)

preprocess36.0ms (1.8%)

end0.0ms (0.0%)

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