Metrics for expq2 (section 3.11)

start0.0ms (0.0%)

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

analyze11.0ms (0.5%)

Memory

-42.2MiB live, 3.0MiB allocated; 11ms collecting garbage

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0.0%	0.0%	75.2%	24.8%	0.0%	0.0%	0.0%	0
0.0%	0.0%	75.2%	24.8%	0.0%	0.0%	0.0%	1
50.0%	37.6%	37.6%	24.8%	0.0%	0.0%	0.0%	2
75.0%	56.4%	18.8%	24.8%	0.0%	0.0%	0.0%	3
87.5%	65.8%	9.4%	24.8%	0.0%	0.0%	0.0%	4
93.8%	70.5%	4.7%	24.8%	0.0%	0.0%	0.0%	5
96.9%	72.8%	2.3%	24.8%	0.0%	0.0%	0.0%	6
98.4%	74.0%	1.2%	24.8%	0.0%	0.0%	0.0%	7
99.2%	74.6%	0.6%	24.8%	0.0%	0.0%	0.0%	8
99.6%	74.9%	0.3%	24.8%	0.0%	0.0%	0.0%	9
99.8%	75.0%	0.1%	24.8%	0.0%	0.0%	0.0%	10
99.9%	75.1%	0.1%	24.8%	0.0%	0.0%	0.0%	11
100.0%	75.1%	0.0%	24.8%	0.0%	0.0%	0.0%	12

Compiler

Compiled 11 to 7 computations (36.4% saved)

sample559.0ms (27.4%)

Memory

48.6MiB live, 711.3MiB allocated; 149ms collecting garbage

Samples

400.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 216.0ms

ival-exp: 114.0ms (52.7% of total)

ival-expm1: 60.0ms (27.7% of total)

ival-div!: 42.0ms (19.4% of total)

adjust: 1.0ms (0.5% of total)

Bogosity

preprocess31.0ms (1.5%)

Memory

8.5MiB live, 53.9MiB allocated; 6ms collecting garbage

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	10	26
1	43	25
2	175	25
3	1003	23

Stop Event

1×	node-limit

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	35.9%	(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64)))

Compiler

Compiled 14 to 10 computations (28.6% 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)

series13.0ms (0.6%)

Memory

-19.3MiB live, 25.1MiB allocated; 6ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	59	166

Stop Event

1×	iter-limit

Counts

5 → 15

Calls

Call 1

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

Outputs
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 #s(literal 1 binary64) x))
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x)) x))
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/12 binary64) x)))) x))
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 #s(literal -1/720 binary64) (pow.f64 x #s(literal 2 binary64)))))))) x))
#s(approx (exp x) #s(literal 1 binary64))
#s(approx (exp x) (+.f64 #s(literal 1 binary64) x))
#s(approx (exp x) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) x)))))
#s(approx (exp x) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) x)))))))
#s(approx x x)
#s(approx (- (exp x) 1) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) x))))
#s(approx (- (exp x) 1) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) x))))))
#s(approx (- (exp x) 1) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 #s(literal 1/24 binary64) x))))))))
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 (exp.f64 x) (expm1.f64 x)))
#s(approx (exp x) (exp.f64 x))
#s(approx (- (exp x) 1) (expm1.f64 x))

Calls

3 calls:

Time	Variable	Point
5.0ms	x	inf
1.0ms	x	-inf
0.0ms	x	0

rewrite144.0ms (7.1%)

Memory

23.7MiB live, 251.8MiB allocated; 30ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	15
0	8	15
1	43	15
2	141	15
3	680	15
0	4185	11

Stop Event

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

Counts

5 → 568

Calls

Call 1

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

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

eval100.0ms (4.9%)

Memory: -19.4MiB live, 113.4MiB allocated; 42ms collecting garbage
Compiler: Compiled 12 191 to 1 912 computations (84.3% saved)

prune11.0ms (0.5%)

Memory

29.1MiB live, 29.1MiB allocated; 0ms collecting garbage

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	573	6	579
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	574	6	580

Accuracy

100.0%

Counts

580 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
	100.0%	(/.f64 (exp.f64 x) (expm1.f64 x))
▶	4.5%	(/.f64 #s(approx (exp x) (+.f64 #s(literal 1 binary64) x)) (-.f64 #s(approx (exp x) (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)))
▶	100.0%	(*.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 x)) (exp.f64 x))
▶	68.6%	#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/12 binary64) x)))) x))
▶	68.6%	#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x)) x))
▶	68.6%	#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 #s(literal 1 binary64) x))

Compiler

Compiled 144 to 100 computations (30.6% saved)

sample0.0ms (0.0%)

Memory

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

Calls

Call 1

Inputs
1
1/2
1/12

Outputs
#s(literal 1 binary64)
#s(literal 1/2 binary64)
#s(literal 6004799503160661/72057594037927936 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)

series16.0ms (0.8%)

Memory

-17.1MiB live, 28.6MiB allocated; 4ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	113	486

Stop Event

1×	iter-limit

Counts

24 → 35

Calls

Call 1

Inputs
(*.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 x)) (exp.f64 x))
(/.f64 #s(literal 1 binary64) (expm1.f64 x))
#s(literal 1 binary64)
(expm1.f64 x)
x
(exp.f64 x)
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal 1 binary64) x)
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x)) x))
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x)) x)
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x))
(*.f64 #s(literal 1/2 binary64) x)
#s(literal 1/2 binary64)
(/.f64 #s(approx (exp x) (+.f64 #s(literal 1 binary64) x)) (-.f64 #s(approx (exp x) (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)))
#s(approx (exp x) (+.f64 #s(literal 1 binary64) x))
(+.f64 #s(literal 1 binary64) x)
(-.f64 #s(approx (exp x) (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/12 binary64) x)))) x))
(/.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/12 binary64) x)))) x)
(+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/12 binary64) x))))
(.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/12 binary64) x)))
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/12 binary64) x))
(*.f64 #s(literal 1/12 binary64) x)
#s(literal 1/12 binary64)

Outputs
#s(approx (* (/ 1 (- (exp x) 1)) (exp x)) (/.f64 #s(literal 1 binary64) x))
#s(approx (* (/ 1 (- (exp x) 1)) (exp x)) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x)) x))
#s(approx (* (/ 1 (- (exp x) 1)) (exp x)) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/12 binary64) x)))) x))
#s(approx (* (/ 1 (- (exp x) 1)) (exp x)) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 #s(literal -1/720 binary64) (pow.f64 x #s(literal 2 binary64)))))))) x))
#s(approx (/ 1 (- (exp x) 1)) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) x)) x))
#s(approx (/ 1 (- (exp x) 1)) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 x (-.f64 (.f64 #s(literal 1/12 binary64) x) #s(literal 1/2 binary64)))) x))
#s(approx (/ 1 (- (exp x) 1)) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 x (-.f64 (.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 #s(literal -1/720 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal 1/2 binary64)))) x))
#s(approx (- (exp x) 1) x)
#s(approx (- (exp x) 1) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) x))))
#s(approx (- (exp x) 1) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) x))))))
#s(approx (- (exp x) 1) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 #s(literal 1/24 binary64) x))))))))
#s(approx (exp x) #s(literal 1 binary64))
#s(approx (exp x) (+.f64 #s(literal 1 binary64) x))
#s(approx (exp x) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) x)))))
#s(approx (exp x) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) x)))))))
#s(approx (+ 1 (* 1/2 x)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x)))
#s(approx (* 1/2 x) (*.f64 #s(literal 1/2 binary64) x))
#s(approx (+ 1 (* x (+ 1/2 (* 1/12 x)))) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/12 binary64) x)))))
#s(approx (* x (+ 1/2 (* 1/12 x))) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/12 binary64) x))))
#s(approx (+ 1/2 (* 1/12 x)) #s(literal 1/2 binary64))
#s(approx (+ 1/2 (* 1/12 x)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/12 binary64) x)))
#s(approx (* 1/12 x) (*.f64 #s(literal 1/12 binary64) x))
#s(approx (* (/ 1 (- (exp x) 1)) (exp x)) (/.f64 (exp.f64 x) (expm1.f64 x)))
#s(approx (/ 1 (- (exp x) 1)) (/.f64 #s(literal 1 binary64) (expm1.f64 x)))
#s(approx (- (exp x) 1) (expm1.f64 x))
#s(approx (exp x) (exp.f64 x))
#s(approx (/ (+ 1 (* 1/2 x)) x) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))
#s(approx (+ 1 (* 1/2 x)) (*.f64 x (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))
#s(approx (+ 1 x) (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))))
#s(approx (/ (+ 1 (* x (+ 1/2 (* 1/12 x)))) x) (.f64 x (+.f64 #s(literal 1/12 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))))
#s(approx (/ (+ 1 (* x (+ 1/2 (* 1/12 x)))) x) (*.f64 x (+.f64 #s(literal 1/12 binary64) (fma.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))))
#s(approx (+ 1 (* x (+ 1/2 (* 1/12 x)))) (*.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 2 binary64))))
#s(approx (+ 1 (* x (+ 1/2 (* 1/12 x)))) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/12 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))))
#s(approx (+ 1 (* x (+ 1/2 (* 1/12 x)))) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/12 binary64) (fma.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))))
#s(approx (/ (+ 1 (* x (+ 1/2 (* 1/12 x)))) x) (.f64 #s(literal -1 binary64) (.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) x)) #s(literal 1/12 binary64)))))

Calls

3 calls:

Time	Variable	Point
6.0ms	x	-inf
3.0ms	x	inf
1.0ms	x	0

rewrite140.0ms (6.9%)

Memory

9.9MiB live, 211.6MiB allocated; 43ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	27	143
0	44	141
1	210	133
2	788	133
3	3453	133
0	4214	126

Stop Event

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

Counts

24 → 732

Calls

Call 1

Inputs
(*.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 x)) (exp.f64 x))
(/.f64 #s(literal 1 binary64) (expm1.f64 x))
#s(literal 1 binary64)
(expm1.f64 x)
x
(exp.f64 x)
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal 1 binary64) x)
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x)) x))
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x)) x)
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x))
(*.f64 #s(literal 1/2 binary64) x)
#s(literal 1/2 binary64)
(/.f64 #s(approx (exp x) (+.f64 #s(literal 1 binary64) x)) (-.f64 #s(approx (exp x) (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)))
#s(approx (exp x) (+.f64 #s(literal 1 binary64) x))
(+.f64 #s(literal 1 binary64) x)
(-.f64 #s(approx (exp x) (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/12 binary64) x)))) x))
(/.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/12 binary64) x)))) x)
(+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/12 binary64) x))))
(.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/12 binary64) x)))
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/12 binary64) x))
(*.f64 #s(literal 1/12 binary64) x)
#s(literal 1/12 binary64)

Outputs
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 (sinh.f64 x) (expm1.f64 x)) (/.f64 (cosh.f64 x) (expm1.f64 x)))) (/.f64 (cosh.f64 x) (expm1.f64 x)))
(*.f64 (/.f64 #s(literal -1 binary64) (expm1.f64 x)) (neg.f64 (exp.f64 x)))
(*.f64 (neg.f64 (exp.f64 x)) (/.f64 #s(literal -1 binary64) (expm1.f64 x)))
(.f64 #s(literal -1 binary64) (.f64 (/.f64 #s(literal -1 binary64) (expm1.f64 x)) (exp.f64 x)))
(*.f64 #s(literal -1 binary64) (/.f64 (neg.f64 (exp.f64 x)) (expm1.f64 x)))
(*.f64 (/.f64 (exp.f64 x) (expm1.f64 x)) #s(literal 1 binary64))
(*.f64 (exp.f64 x) (/.f64 #s(literal 1 binary64) (expm1.f64 x)))
(*.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 x)) (exp.f64 x))
(*.f64 #s(literal 1 binary64) (/.f64 (exp.f64 x) (expm1.f64 x)))
(/.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (/.f64 (exp.f64 x) (expm1.f64 x)))) #s(literal -2 binary64))
(/.f64 (neg.f64 (fma.f64 (/.f64 (cosh.f64 x) (expm1.f64 x)) (expm1.f64 x) (sinh.f64 x))) (neg.f64 (expm1.f64 x)))
(/.f64 (neg.f64 (fma.f64 (cosh.f64 x) (expm1.f64 x) (.f64 (sinh.f64 x) (expm1.f64 x)))) (neg.f64 (.f64 (expm1.f64 x) (expm1.f64 x))))
(/.f64 (neg.f64 (fma.f64 (cosh.f64 x) (expm1.f64 x) (.f64 (expm1.f64 x) (sinh.f64 x)))) (neg.f64 (.f64 (expm1.f64 x) (expm1.f64 x))))
(/.f64 (neg.f64 (.f64 #s(literal 2 binary64) (neg.f64 (exp.f64 x)))) (neg.f64 (.f64 #s(literal 2 binary64) (neg.f64 (expm1.f64 x)))))
(/.f64 (neg.f64 (.f64 #s(literal 2 binary64) (exp.f64 x))) (neg.f64 (.f64 #s(literal 2 binary64) (expm1.f64 x))))
(/.f64 (*.f64 #s(literal 2 binary64) (/.f64 (exp.f64 x) (expm1.f64 x))) #s(literal 2 binary64))
(/.f64 (fma.f64 (/.f64 (cosh.f64 x) (expm1.f64 x)) (expm1.f64 x) (sinh.f64 x)) (expm1.f64 x))
(/.f64 (fma.f64 (cosh.f64 x) (expm1.f64 x) (.f64 (sinh.f64 x) (expm1.f64 x))) (.f64 (expm1.f64 x) (expm1.f64 x)))
(/.f64 (-.f64 (.f64 (/.f64 (cosh.f64 x) (expm1.f64 x)) (/.f64 (cosh.f64 x) (expm1.f64 x))) (.f64 (/.f64 (sinh.f64 x) (expm1.f64 x)) (/.f64 (sinh.f64 x) (expm1.f64 x)))) (-.f64 (/.f64 (cosh.f64 x) (expm1.f64 x)) (/.f64 (sinh.f64 x) (expm1.f64 x))))
(/.f64 (+.f64 (pow.f64 (/.f64 (cosh.f64 x) (expm1.f64 x)) #s(literal 3 binary64)) (pow.f64 (/.f64 (sinh.f64 x) (expm1.f64 x)) #s(literal 3 binary64))) (fma.f64 (/.f64 (cosh.f64 x) (expm1.f64 x)) (/.f64 (cosh.f64 x) (expm1.f64 x)) (-.f64 (.f64 (/.f64 (sinh.f64 x) (expm1.f64 x)) (/.f64 (sinh.f64 x) (expm1.f64 x))) (.f64 (/.f64 (cosh.f64 x) (expm1.f64 x)) (/.f64 (sinh.f64 x) (expm1.f64 x))))))
(/.f64 (fma.f64 (cosh.f64 x) (expm1.f64 x) (.f64 (expm1.f64 x) (sinh.f64 x))) (.f64 (expm1.f64 x) (expm1.f64 x)))
(/.f64 (.f64 #s(literal 2 binary64) (neg.f64 (exp.f64 x))) (.f64 #s(literal 2 binary64) (neg.f64 (expm1.f64 x))))
(/.f64 (.f64 #s(literal 2 binary64) (exp.f64 x)) (.f64 #s(literal 2 binary64) (expm1.f64 x)))
(/.f64 (neg.f64 (exp.f64 x)) (neg.f64 (expm1.f64 x)))
(/.f64 (exp.f64 x) (expm1.f64 x))
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (expm1.f64 x)) (neg.f64 (exp.f64 x))))
(/.f64 #s(literal 1 binary64) (/.f64 (expm1.f64 x) (exp.f64 x)))
(neg.f64 (*.f64 (/.f64 #s(literal -1 binary64) (expm1.f64 x)) (exp.f64 x)))
(neg.f64 (*.f64 #s(literal -1 binary64) (/.f64 (exp.f64 x) (expm1.f64 x))))
(neg.f64 (/.f64 (neg.f64 (exp.f64 x)) (expm1.f64 x)))
(fma.f64 (*.f64 (sinh.f64 x) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (expm1.f64 x)) (/.f64 (cosh.f64 x) (expm1.f64 x)))
(fma.f64 (*.f64 (cosh.f64 x) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (expm1.f64 x)) (/.f64 (sinh.f64 x) (expm1.f64 x)))
(fma.f64 (/.f64 (sinh.f64 x) (expm1.f64 x)) #s(literal 1 binary64) (/.f64 (cosh.f64 x) (expm1.f64 x)))
(fma.f64 (/.f64 (cosh.f64 x) (expm1.f64 x)) #s(literal 1 binary64) (/.f64 (sinh.f64 x) (expm1.f64 x)))
(fma.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal -1 binary64) (expm1.f64 x)) (cosh.f64 x)) (/.f64 (sinh.f64 x) (expm1.f64 x)))
(fma.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal -1 binary64) (expm1.f64 x)) (sinh.f64 x)) (/.f64 (cosh.f64 x) (expm1.f64 x)))
(fma.f64 (sinh.f64 x) (/.f64 #s(literal 1 binary64) (expm1.f64 x)) (/.f64 (cosh.f64 x) (expm1.f64 x)))
(fma.f64 (cosh.f64 x) (/.f64 #s(literal 1 binary64) (expm1.f64 x)) (/.f64 (sinh.f64 x) (expm1.f64 x)))
(fma.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 x)) (sinh.f64 x) (/.f64 (cosh.f64 x) (expm1.f64 x)))
(fma.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 x)) (cosh.f64 x) (/.f64 (sinh.f64 x) (expm1.f64 x)))
(fma.f64 #s(literal 1 binary64) (/.f64 (sinh.f64 x) (expm1.f64 x)) (/.f64 (cosh.f64 x) (expm1.f64 x)))
(fma.f64 #s(literal 1 binary64) (/.f64 (cosh.f64 x) (expm1.f64 x)) (/.f64 (sinh.f64 x) (expm1.f64 x)))
(-.f64 (/.f64 (cosh.f64 x) (expm1.f64 x)) (*.f64 (/.f64 #s(literal -1 binary64) (expm1.f64 x)) (sinh.f64 x)))
(-.f64 (/.f64 (cosh.f64 x) (expm1.f64 x)) (*.f64 (sinh.f64 (neg.f64 x)) (/.f64 #s(literal 1 binary64) (expm1.f64 x))))
(-.f64 (/.f64 (cosh.f64 x) (expm1.f64 x)) (neg.f64 (/.f64 (sinh.f64 x) (expm1.f64 x))))
(-.f64 (/.f64 (cosh.f64 x) (expm1.f64 x)) (/.f64 (sinh.f64 (neg.f64 x)) (expm1.f64 x)))
(+.f64 (/.f64 (sinh.f64 x) (expm1.f64 x)) (/.f64 (cosh.f64 x) (expm1.f64 x)))
(+.f64 (/.f64 (cosh.f64 x) (expm1.f64 x)) (/.f64 (sinh.f64 x) (expm1.f64 x)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (expm1.f64 x)))
(*.f64 (/.f64 #s(literal -1 binary64) (expm1.f64 x)) #s(literal -1 binary64))
(*.f64 (pow.f64 (expm1.f64 x) (/.f64 #s(literal -1 binary64) #s(literal 2 binary64))) (pow.f64 (expm1.f64 x) (/.f64 #s(literal -1 binary64) #s(literal 2 binary64))))
(.f64 #s(literal -1 binary64) (.f64 (/.f64 #s(literal -1 binary64) (expm1.f64 x)) #s(literal 1 binary64)))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (expm1.f64 x)))
(*.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 x)) (pow.f64 (expm1.f64 x) #s(literal 0 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 x)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (expm1.f64 x)))
(pow.f64 (expm1.f64 x) #s(literal -1 binary64))
(/.f64 (neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 x)) #s(literal 2 binary64))) #s(literal -2 binary64))
(/.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (expm1.f64 x)))) #s(literal -2 binary64))
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 x)) #s(literal 2 binary64)) #s(literal 2 binary64))
(/.f64 (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (expm1.f64 x))) #s(literal 2 binary64))
(/.f64 (*.f64 (/.f64 #s(literal -1 binary64) x) x) (neg.f64 (expm1.f64 x)))
(/.f64 #s(literal -2 binary64) (neg.f64 (*.f64 (expm1.f64 x) #s(literal 2 binary64))))
(/.f64 #s(literal -2 binary64) (neg.f64 (*.f64 #s(literal 2 binary64) (expm1.f64 x))))
(/.f64 #s(literal -2 binary64) (*.f64 (neg.f64 (expm1.f64 x)) #s(literal 2 binary64)))
(/.f64 #s(literal -2 binary64) (*.f64 #s(literal 2 binary64) (neg.f64 (expm1.f64 x))))
(/.f64 #s(literal 2 binary64) (neg.f64 (*.f64 (neg.f64 (expm1.f64 x)) #s(literal 2 binary64))))
(/.f64 #s(literal 2 binary64) (neg.f64 (*.f64 #s(literal 2 binary64) (neg.f64 (expm1.f64 x)))))
(/.f64 #s(literal 2 binary64) (*.f64 (expm1.f64 x) #s(literal 2 binary64)))
(/.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (expm1.f64 x)))
(/.f64 #s(literal -1 binary64) (neg.f64 (expm1.f64 x)))
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (expm1.f64 x)) #s(literal -1 binary64)))
(/.f64 #s(literal 1 binary64) (pow.f64 (expm1.f64 x) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (expm1.f64 x) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (expm1.f64 x))
(neg.f64 (*.f64 (/.f64 #s(literal -1 binary64) (expm1.f64 x)) #s(literal 1 binary64)))
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 x)) #s(literal -1 binary64)))
(neg.f64 (/.f64 #s(literal -1 binary64) (expm1.f64 x)))
(fma.f64 (/.f64 #s(literal -1 binary64) (expm1.f64 x)) #s(literal -1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 x)) #s(literal 0 binary64)))
(fma.f64 (/.f64 #s(literal -1 binary64) (expm1.f64 x)) #s(literal -1 binary64) (*.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (expm1.f64 x))))
(fma.f64 (/.f64 #s(literal -1 binary64) (expm1.f64 x)) #s(literal -1 binary64) (/.f64 #s(literal 0 binary64) (expm1.f64 x)))
(fma.f64 #s(literal -1 binary64) (.f64 (/.f64 #s(literal -1 binary64) (expm1.f64 x)) #s(literal 1 binary64)) (.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 x)) #s(literal 0 binary64)))
(fma.f64 #s(literal -1 binary64) (.f64 (/.f64 #s(literal -1 binary64) (expm1.f64 x)) #s(literal 1 binary64)) (.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (expm1.f64 x))))
(fma.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal -1 binary64) (expm1.f64 x)) #s(literal 1 binary64)) (/.f64 #s(literal 0 binary64) (expm1.f64 x)))
(fma.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (expm1.f64 x)) (*.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 x)) #s(literal 0 binary64)))
(fma.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (expm1.f64 x)) (*.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (expm1.f64 x))))
(fma.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (expm1.f64 x)) (/.f64 #s(literal 0 binary64) (expm1.f64 x)))
(fma.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 x)) #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 x)) #s(literal 0 binary64)))
(fma.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 x)) #s(literal 1 binary64) (*.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (expm1.f64 x))))
(fma.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 x)) #s(literal 1 binary64) (/.f64 #s(literal 0 binary64) (expm1.f64 x)))
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (expm1.f64 x)) (*.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 x)) #s(literal 0 binary64)))
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (expm1.f64 x)) (*.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (expm1.f64 x))))
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (expm1.f64 x)) (/.f64 #s(literal 0 binary64) (expm1.f64 x)))
(exp.f64 (*.f64 (log.f64 (expm1.f64 x)) #s(literal -1 binary64)))
(+.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 x)) (*.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 x)) #s(literal 0 binary64)))
(+.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 x)) (*.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (expm1.f64 x))))
(+.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 x)) (/.f64 #s(literal 0 binary64) (expm1.f64 x)))
#s(literal 1 binary64)
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (exp.f64 x) #s(literal -1 binary64))) #s(literal -1 binary64))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (sinh.f64 x) #s(literal 1 binary64)) (cosh.f64 x))) (cosh.f64 x))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (exp.f64 x))) (exp.f64 x))
(*.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 x))) (exp.f64 x))
(*.f64 #s(literal 1 binary64) (expm1.f64 x))
(/.f64 (neg.f64 (-.f64 (*.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64))) #s(literal -2 binary64))
(/.f64 (-.f64 (*.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 2 binary64))
(/.f64 (-.f64 (*.f64 #s(literal -1 binary64) #s(literal -1 binary64)) (exp.f64 (+.f64 x x))) (-.f64 #s(literal -1 binary64) (exp.f64 x)))
(/.f64 (-.f64 (.f64 (cosh.f64 x) (cosh.f64 x)) (.f64 (-.f64 (sinh.f64 x) #s(literal 1 binary64)) (-.f64 (sinh.f64 x) #s(literal 1 binary64)))) (-.f64 (cosh.f64 x) (-.f64 (sinh.f64 x) #s(literal 1 binary64))))
(/.f64 (-.f64 (exp.f64 (+.f64 x x)) (*.f64 #s(literal 1 binary64) #s(literal 1 binary64))) (+.f64 (exp.f64 x) #s(literal 1 binary64)))
(/.f64 (+.f64 (pow.f64 #s(literal -1 binary64) #s(literal 3 binary64)) (pow.f64 (exp.f64 x) #s(literal 3 binary64))) (fma.f64 #s(literal -1 binary64) #s(literal -1 binary64) (-.f64 (exp.f64 (+.f64 x x)) (neg.f64 (exp.f64 x)))))
(/.f64 (+.f64 (pow.f64 (cosh.f64 x) #s(literal 3 binary64)) (pow.f64 (-.f64 (sinh.f64 x) #s(literal 1 binary64)) #s(literal 3 binary64))) (fma.f64 (cosh.f64 x) (cosh.f64 x) (-.f64 (.f64 (-.f64 (sinh.f64 x) #s(literal 1 binary64)) (-.f64 (sinh.f64 x) #s(literal 1 binary64))) (.f64 (cosh.f64 x) (-.f64 (sinh.f64 x) #s(literal 1 binary64))))))
(/.f64 (-.f64 (exp.f64 (+.f64 x x)) (*.f64 #s(literal -1 binary64) #s(literal -1 binary64))) (-.f64 (exp.f64 x) #s(literal -1 binary64)))
(/.f64 (+.f64 (pow.f64 (exp.f64 x) #s(literal 3 binary64)) (pow.f64 #s(literal -1 binary64) #s(literal 3 binary64))) (+.f64 (exp.f64 (+.f64 x x)) (-.f64 (*.f64 #s(literal -1 binary64) #s(literal -1 binary64)) (neg.f64 (exp.f64 x)))))
(/.f64 (-.f64 (pow.f64 (exp.f64 x) #s(literal 3 binary64)) (pow.f64 #s(literal 1 binary64) #s(literal 3 binary64))) (+.f64 (exp.f64 (+.f64 x x)) (fma.f64 #s(literal 1 binary64) #s(literal 1 binary64) (exp.f64 x))))
(neg.f64 (neg.f64 (expm1.f64 x)))
(expm1.f64 (/.f64 (+.f64 x x) #s(literal 2 binary64)))
(expm1.f64 (/.f64 (*.f64 x #s(literal 2 binary64)) #s(literal 2 binary64)))
(expm1.f64 (*.f64 (+.f64 x x) #s(literal 1/2 binary64)))
(expm1.f64 (.f64 (.f64 x #s(literal 2 binary64)) #s(literal 1/2 binary64)))
(expm1.f64 x)
(fma.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 x)) #s(literal 1/2 binary64) (+.f64 (cosh.f64 x) #s(literal -1 binary64)))
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(*.f64 (fma.f64 #s(literal -1/12 binary64) x #s(literal -1/2 binary64)) (neg.f64 x))
(.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 #s(literal 1/12 binary64) x) x) (.f64 #s(literal 1/2 binary64) x))) (*.f64 #s(literal 1/2 binary64) x))
(*.f64 (neg.f64 x) (fma.f64 #s(literal -1/12 binary64) x #s(literal -1/2 binary64)))
(*.f64 (fma.f64 #s(literal 1/12 binary64) x #s(literal 1/2 binary64)) x)
(*.f64 x (fma.f64 #s(literal 1/12 binary64) x #s(literal 1/2 binary64)))
(/.f64 (-.f64 (.f64 (.f64 (.f64 #s(literal 1/12 binary64) x) x) (.f64 (.f64 #s(literal 1/12 binary64) x) x)) (.f64 (.f64 #s(literal 1/2 binary64) x) (.f64 #s(literal 1/2 binary64) x))) (-.f64 (.f64 (.f64 #s(literal 1/12 binary64) x) x) (*.f64 #s(literal 1/2 binary64) x)))
(/.f64 (-.f64 (.f64 (.f64 #s(literal 1/2 binary64) x) (.f64 #s(literal 1/2 binary64) x)) (.f64 (.f64 (.f64 x x) #s(literal -1/12 binary64)) (.f64 (.f64 x x) #s(literal -1/12 binary64)))) (+.f64 (.f64 #s(literal 1/2 binary64) x) (.f64 (*.f64 x x) #s(literal -1/12 binary64))))
(/.f64 (+.f64 (pow.f64 (.f64 (.f64 #s(literal 1/12 binary64) x) x) #s(literal 3 binary64)) (pow.f64 (.f64 #s(literal 1/2 binary64) x) #s(literal 3 binary64))) (fma.f64 (.f64 (.f64 #s(literal 1/12 binary64) x) x) (.f64 (.f64 #s(literal 1/12 binary64) x) x) (-.f64 (.f64 (.f64 #s(literal 1/2 binary64) x) (.f64 #s(literal 1/2 binary64) x)) (.f64 (.f64 (.f64 #s(literal 1/12 binary64) x) x) (.f64 #s(literal 1/2 binary64) x)))))
(/.f64 (-.f64 (pow.f64 (.f64 #s(literal 1/2 binary64) x) #s(literal 3 binary64)) (pow.f64 (.f64 (.f64 x x) #s(literal -1/12 binary64)) #s(literal 3 binary64))) (fma.f64 (.f64 #s(literal 1/2 binary64) x) (.f64 #s(literal 1/2 binary64) x) (fma.f64 (.f64 (.f64 x x) #s(literal -1/12 binary64)) (.f64 (.f64 x x) #s(literal -1/12 binary64)) (.f64 (.f64 #s(literal 1/2 binary64) x) (.f64 (*.f64 x x) #s(literal -1/12 binary64))))))
(/.f64 (-.f64 (.f64 (.f64 #s(literal 1/2 binary64) x) (.f64 #s(literal 1/2 binary64) x)) (.f64 (.f64 (.f64 #s(literal 1/12 binary64) x) x) (.f64 (.f64 #s(literal 1/12 binary64) x) x))) (-.f64 (.f64 #s(literal 1/2 binary64) x) (.f64 (*.f64 #s(literal 1/12 binary64) x) x)))
(/.f64 (+.f64 (pow.f64 (.f64 #s(literal 1/2 binary64) x) #s(literal 3 binary64)) (pow.f64 (.f64 (.f64 #s(literal 1/12 binary64) x) x) #s(literal 3 binary64))) (fma.f64 (.f64 #s(literal 1/2 binary64) x) (.f64 #s(literal 1/2 binary64) x) (-.f64 (.f64 (.f64 (.f64 #s(literal 1/12 binary64) x) x) (.f64 (.f64 #s(literal 1/12 binary64) x) x)) (.f64 (.f64 #s(literal 1/2 binary64) x) (.f64 (.f64 #s(literal 1/12 binary64) x) x)))))
(neg.f64 (*.f64 (fma.f64 #s(literal -1/12 binary64) x #s(literal -1/2 binary64)) x))
(fma.f64 #s(literal -1/2 binary64) (neg.f64 x) (.f64 (.f64 #s(literal 1/12 binary64) x) x))
(fma.f64 (.f64 x x) #s(literal 1/12 binary64) (.f64 #s(literal 1/2 binary64) x))
(fma.f64 (neg.f64 x) #s(literal -1/2 binary64) (.f64 (.f64 #s(literal 1/12 binary64) x) x))
(fma.f64 (.f64 #s(literal 1/12 binary64) x) x (.f64 #s(literal 1/2 binary64) x))
(fma.f64 #s(literal 1/12 binary64) (.f64 x x) (.f64 #s(literal 1/2 binary64) x))
(fma.f64 #s(literal 1/2 binary64) x (.f64 (.f64 #s(literal 1/12 binary64) x) x))
(fma.f64 x (.f64 #s(literal 1/12 binary64) x) (.f64 #s(literal 1/2 binary64) x))
(fma.f64 x #s(literal 1/2 binary64) (.f64 (.f64 #s(literal 1/12 binary64) x) x))
(-.f64 (.f64 (.f64 #s(literal 1/12 binary64) x) x) (*.f64 #s(literal -1/2 binary64) x))
(-.f64 (.f64 #s(literal 1/2 binary64) x) (.f64 (*.f64 x x) #s(literal -1/12 binary64)))
(+.f64 (.f64 (.f64 #s(literal 1/12 binary64) x) x) (*.f64 #s(literal 1/2 binary64) x))
(+.f64 (.f64 #s(literal 1/2 binary64) x) (.f64 (*.f64 #s(literal 1/12 binary64) x) x))
(.f64 (.f64 (*.f64 (fma.f64 #s(literal 1/12 binary64) x #s(literal 1/2 binary64)) x) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) x))
(.f64 (.f64 (*.f64 (fma.f64 #s(literal 1/12 binary64) x #s(literal 1/2 binary64)) x) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) x))
(.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (*.f64 #s(literal 1/12 binary64) x) #s(literal 1 binary64)) #s(literal 1/2 binary64))) #s(literal 1/2 binary64))
(.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) (.f64 #s(literal 1/12 binary64) x))) (*.f64 #s(literal 1/12 binary64) x))
(*.f64 (-.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/2 binary64) x)) x)
(*.f64 (fma.f64 #s(literal -1/12 binary64) x #s(literal -1/2 binary64)) (/.f64 (neg.f64 x) x))
(.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/12 binary64) x))) (*.f64 #s(literal 1/12 binary64) x))
(.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal -1/12 binary64) x) #s(literal 1/2 binary64))) #s(literal 1/2 binary64))
(.f64 (.f64 (fma.f64 #s(literal -1/12 binary64) x #s(literal -1/2 binary64)) x) (/.f64 #s(literal -1 binary64) x))
(.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal 1/12 binary64) x) #s(literal 1/2 binary64))) #s(literal 1/2 binary64))
(*.f64 (neg.f64 x) (/.f64 (fma.f64 #s(literal -1/12 binary64) x #s(literal -1/2 binary64)) x))
(.f64 (.f64 (fma.f64 #s(literal 1/12 binary64) x #s(literal 1/2 binary64)) x) (/.f64 #s(literal 1 binary64) x))
(*.f64 (fma.f64 #s(literal 1/12 binary64) x #s(literal 1/2 binary64)) #s(literal 1 binary64))
(.f64 (/.f64 #s(literal 1 binary64) x) (.f64 (fma.f64 #s(literal 1/12 binary64) x #s(literal 1/2 binary64)) x))
(*.f64 x (-.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/2 binary64) x)))
(*.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/12 binary64) x #s(literal 1/2 binary64)))
(/.f64 (neg.f64 (.f64 (.f64 (fma.f64 #s(literal 1/12 binary64) x #s(literal 1/2 binary64)) x) #s(literal -1 binary64))) x)
(/.f64 (neg.f64 (.f64 (.f64 (fma.f64 #s(literal 1/12 binary64) x #s(literal 1/2 binary64)) x) #s(literal 1 binary64))) (neg.f64 x))
(/.f64 (.f64 (.f64 (fma.f64 #s(literal 1/12 binary64) x #s(literal 1/2 binary64)) x) #s(literal -1 binary64)) (neg.f64 x))
(/.f64 (.f64 (.f64 (fma.f64 #s(literal 1/12 binary64) x #s(literal 1/2 binary64)) x) #s(literal 1 binary64)) x)
(/.f64 (neg.f64 (.f64 (.f64 (fma.f64 #s(literal -1/12 binary64) x #s(literal -1/2 binary64)) x) x)) (neg.f64 (*.f64 (neg.f64 x) x)))
(/.f64 (-.f64 (.f64 #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (.f64 (.f64 (.f64 #s(literal 1/12 binary64) x) #s(literal 1 binary64)) (.f64 (.f64 #s(literal 1/12 binary64) x) #s(literal 1 binary64)))) (-.f64 #s(literal 1/2 binary64) (.f64 (.f64 #s(literal 1/12 binary64) x) #s(literal 1 binary64))))
(/.f64 (-.f64 (.f64 (.f64 #s(literal 1/12 binary64) x) (.f64 #s(literal 1/12 binary64) x)) (.f64 #s(literal -1/2 binary64) #s(literal -1/2 binary64))) (+.f64 (*.f64 #s(literal 1/12 binary64) x) #s(literal -1/2 binary64)))
(/.f64 (+.f64 (pow.f64 #s(literal 1/2 binary64) #s(literal 3 binary64)) (pow.f64 (.f64 (.f64 #s(literal 1/12 binary64) x) #s(literal 1 binary64)) #s(literal 3 binary64))) (fma.f64 #s(literal 1/2 binary64) #s(literal 1/2 binary64) (-.f64 (.f64 (.f64 (.f64 #s(literal 1/12 binary64) x) #s(literal 1 binary64)) (.f64 (.f64 #s(literal 1/12 binary64) x) #s(literal 1 binary64))) (.f64 #s(literal 1/2 binary64) (.f64 (.f64 #s(literal 1/12 binary64) x) #s(literal 1 binary64))))))
(/.f64 (-.f64 (pow.f64 (.f64 #s(literal 1/12 binary64) x) #s(literal 3 binary64)) (pow.f64 #s(literal -1/2 binary64) #s(literal 3 binary64))) (fma.f64 (.f64 #s(literal 1/12 binary64) x) (.f64 #s(literal 1/12 binary64) x) (fma.f64 #s(literal -1/2 binary64) #s(literal -1/2 binary64) (.f64 (*.f64 #s(literal 1/12 binary64) x) #s(literal -1/2 binary64)))))
(/.f64 (.f64 (.f64 (fma.f64 #s(literal 1/12 binary64) x #s(literal 1/2 binary64)) x) x) (*.f64 x x))
(/.f64 (-.f64 (.f64 (.f64 #s(literal 1/12 binary64) x) (.f64 #s(literal 1/12 binary64) x)) (.f64 #s(literal 1/2 binary64) #s(literal 1/2 binary64))) (-.f64 (*.f64 #s(literal 1/12 binary64) x) #s(literal 1/2 binary64)))
(/.f64 (-.f64 (.f64 #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (.f64 (.f64 #s(literal -1/12 binary64) x) (.f64 #s(literal -1/12 binary64) x))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/12 binary64) x)))
(/.f64 (+.f64 (pow.f64 (.f64 #s(literal 1/12 binary64) x) #s(literal 3 binary64)) (pow.f64 #s(literal 1/2 binary64) #s(literal 3 binary64))) (fma.f64 (.f64 #s(literal 1/12 binary64) x) (.f64 #s(literal 1/12 binary64) x) (-.f64 (.f64 #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (.f64 (.f64 #s(literal 1/12 binary64) x) #s(literal 1/2 binary64)))))
(/.f64 (-.f64 (pow.f64 #s(literal 1/2 binary64) #s(literal 3 binary64)) (pow.f64 (.f64 #s(literal -1/12 binary64) x) #s(literal 3 binary64))) (fma.f64 #s(literal 1/2 binary64) #s(literal 1/2 binary64) (fma.f64 (.f64 #s(literal -1/12 binary64) x) (.f64 #s(literal -1/12 binary64) x) (.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/12 binary64) x)))))
(/.f64 (.f64 (.f64 (fma.f64 #s(literal -1/12 binary64) x #s(literal -1/2 binary64)) x) x) (*.f64 (neg.f64 x) x))
(/.f64 (*.f64 (fma.f64 #s(literal -1/12 binary64) x #s(literal -1/2 binary64)) x) (neg.f64 x))
(/.f64 (-.f64 (.f64 #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (.f64 (.f64 #s(literal 1/12 binary64) x) (.f64 #s(literal 1/12 binary64) x))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/12 binary64) x)))
(/.f64 (+.f64 (pow.f64 #s(literal 1/2 binary64) #s(literal 3 binary64)) (pow.f64 (.f64 #s(literal 1/12 binary64) x) #s(literal 3 binary64))) (fma.f64 #s(literal 1/2 binary64) #s(literal 1/2 binary64) (-.f64 (.f64 (.f64 #s(literal 1/12 binary64) x) (.f64 #s(literal 1/12 binary64) x)) (.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/12 binary64) x)))))
(/.f64 (*.f64 (fma.f64 #s(literal 1/12 binary64) x #s(literal 1/2 binary64)) x) x)
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 x) (*.f64 (fma.f64 #s(literal -1/12 binary64) x #s(literal -1/2 binary64)) x)))
(/.f64 #s(literal 1 binary64) (/.f64 x (*.f64 (fma.f64 #s(literal 1/12 binary64) x #s(literal 1/2 binary64)) x)))
(neg.f64 (fma.f64 #s(literal -1/12 binary64) x #s(literal -1/2 binary64)))
(fma.f64 (*.f64 x x) (/.f64 #s(literal 1/12 binary64) x) #s(literal 1/2 binary64))
(fma.f64 (.f64 (.f64 #s(literal 1/12 binary64) x) x) (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))
(fma.f64 #s(literal -1/12 binary64) (neg.f64 x) #s(literal 1/2 binary64))
(fma.f64 (neg.f64 x) #s(literal -1/12 binary64) #s(literal 1/2 binary64))
(fma.f64 (*.f64 #s(literal 1/12 binary64) x) #s(literal 1 binary64) #s(literal 1/2 binary64))
(fma.f64 #s(literal 1/12 binary64) (/.f64 (*.f64 x x) x) #s(literal 1/2 binary64))
(fma.f64 #s(literal 1/12 binary64) x #s(literal 1/2 binary64))
(fma.f64 x (/.f64 (*.f64 #s(literal 1/12 binary64) x) x) #s(literal 1/2 binary64))
(fma.f64 x #s(literal 1/12 binary64) #s(literal 1/2 binary64))
(-.f64 (*.f64 #s(literal 1/12 binary64) x) #s(literal -1/2 binary64))
(-.f64 #s(literal 1/2 binary64) (neg.f64 (.f64 (.f64 #s(literal 1/12 binary64) x) #s(literal 1 binary64))))
(-.f64 #s(literal 1/2 binary64) (/.f64 (.f64 (.f64 x x) #s(literal -1/12 binary64)) x))
(-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/12 binary64) x))
(+.f64 (.f64 (.f64 #s(literal 1/12 binary64) x) #s(literal 1 binary64)) #s(literal 1/2 binary64))
(+.f64 (*.f64 #s(literal 1/12 binary64) x) #s(literal 1/2 binary64))
(+.f64 #s(literal 1/2 binary64) (.f64 (.f64 #s(literal 1/12 binary64) x) #s(literal 1 binary64)))
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/12 binary64) x))
(*.f64 #s(literal -1/12 binary64) (neg.f64 x))
(*.f64 (neg.f64 x) #s(literal -1/12 binary64))
(*.f64 #s(literal 1/12 binary64) x)
(*.f64 x #s(literal 1/12 binary64))
(neg.f64 (*.f64 #s(literal -1/12 binary64) x))
#s(literal 1/12 binary64)

eval89.0ms (4.4%)

Memory: 11.9MiB live, 197.3MiB allocated; 29ms collecting garbage
Compiler: Compiled 14 715 to 2 665 computations (81.9% saved)

prune23.0ms (1.1%)

Memory

6.4MiB live, 56.7MiB allocated; 10ms collecting garbage

Pruning

11 alts after pruning (9 fresh and 2 done)

	Pruned	Kept	Total
New	744	8	752
Fresh	0	1	1
Picked	3	2	5
Done	0	0	0
Total	747	11	758

Accuracy

100.0%

Counts

758 → 11

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(/.f64 (exp.f64 x) (expm1.f64 x))
▶	4.5%	(/.f64 #s(approx (exp x) (-.f64 x #s(literal -1 binary64))) (-.f64 #s(approx (exp x) (-.f64 x #s(literal -1 binary64))) #s(literal 1 binary64)))
✓	100.0%	(*.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 x)) (exp.f64 x))
	97.8%	(*.f64 (/.f64 #s(literal 1 binary64) #s(approx (- (exp x) 1) x)) (exp.f64 x))
	68.6%	#s(approx (/ (exp x) (- (exp x) 1)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) x) (.f64 (.f64 #s(literal 1/12 binary64) x) #s(literal 1 binary64))))
	68.6%	#s(approx (/ (exp x) (- (exp x) 1)) (fma.f64 x #s(literal 1/12 binary64) (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64))))
▶	39.7%	#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 (.f64 x (fma.f64 (fma.f64 #s(literal 1/12 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64))) (.f64 x x)))
✓	68.6%	#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 #s(literal 1 binary64) x))
▶	68.6%	#s(approx (/ (exp x) (- (exp x) 1)) (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)))
▶	40.0%	#s(approx (/ (exp x) (- (exp x) 1)) (+.f64 (/.f64 x (*.f64 x x)) (fma.f64 #s(literal 1/12 binary64) x #s(literal 1/2 binary64))))
	3.1%	#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (/ (+ 1 (* x (+ 1/2 (* 1/12 x)))) x) (.f64 x (+.f64 #s(literal 1/12 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))))

Compiler

Compiled 316 to 222 computations (29.7% saved)

sample0.0ms (0.0%)

Memory

0.7MiB live, 0.7MiB allocated; 0ms collecting garbage

Calls

Call 1

Inputs
1
-1/2
-1
1/12
1/2

Outputs
#s(literal 1 binary64)
#s(literal -1/2 binary64)
#s(literal -1 binary64)
#s(literal 6004799503160661/72057594037927936 binary64)
#s(literal 1/2 binary64)

Samples

0.0ms

1×

valid

Compiler

Compiled 7 to 7 computations (0.0% saved)

Precisions

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

adjust: 0.0ms (0.0% of total)

series11.0ms (0.5%)

Memory

-28.7MiB live, 18.3MiB allocated; 3ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	115	492

Stop Event

1×	iter-limit

Counts

25 → 34

Calls

Call 1

Inputs
(/.f64 (exp.f64 x) (expm1.f64 x))
(exp.f64 x)
x
(expm1.f64 x)
#s(approx (/ (exp x) (- (exp x) 1)) (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)))
(-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64))
(/.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
#s(literal -1/2 binary64)
(/.f64 #s(approx (exp x) (-.f64 x #s(literal -1 binary64))) (-.f64 #s(approx (exp x) (-.f64 x #s(literal -1 binary64))) #s(literal 1 binary64)))
#s(approx (exp x) (-.f64 x #s(literal -1 binary64)))
(-.f64 x #s(literal -1 binary64))
#s(literal -1 binary64)
(-.f64 #s(approx (exp x) (-.f64 x #s(literal -1 binary64))) #s(literal 1 binary64))
#s(approx (/ (exp x) (- (exp x) 1)) (+.f64 (/.f64 x (*.f64 x x)) (fma.f64 #s(literal 1/12 binary64) x #s(literal 1/2 binary64))))
(+.f64 (/.f64 x (*.f64 x x)) (fma.f64 #s(literal 1/12 binary64) x #s(literal 1/2 binary64)))
(/.f64 x (*.f64 x x))
(*.f64 x x)
(fma.f64 #s(literal 1/12 binary64) x #s(literal 1/2 binary64))
#s(literal 1/12 binary64)
#s(literal 1/2 binary64)
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 (.f64 x (fma.f64 (fma.f64 #s(literal 1/12 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64))) (.f64 x x)))
(/.f64 (.f64 x (fma.f64 (fma.f64 #s(literal 1/12 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64))) (.f64 x x))
(*.f64 x (fma.f64 (fma.f64 #s(literal 1/12 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)))
(fma.f64 (fma.f64 #s(literal 1/12 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64))

Outputs
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 #s(literal 1 binary64) x))
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x)) x))
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/12 binary64) x)))) x))
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 #s(literal -1/720 binary64) (pow.f64 x #s(literal 2 binary64)))))))) x))
#s(approx (exp x) #s(literal 1 binary64))
#s(approx (exp x) (+.f64 #s(literal 1 binary64) x))
#s(approx (exp x) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) x)))))
#s(approx (exp x) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) x)))))))
#s(approx x x)
#s(approx (- (exp x) 1) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) x))))
#s(approx (- (exp x) 1) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) x))))))
#s(approx (- (exp x) 1) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 #s(literal 1/24 binary64) x))))))))
#s(approx (* x x) (pow.f64 x #s(literal 2 binary64)))
#s(approx (+ (* 1/12 x) 1/2) #s(literal 1/2 binary64))
#s(approx (+ (* 1/12 x) 1/2) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/12 binary64) x)))
#s(approx (* x (+ (* (+ (* 1/12 x) 1/2) x) 1)) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/12 binary64) x))))))
#s(approx (+ (* (+ (* 1/12 x) 1/2) x) 1) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x)))
#s(approx (+ (* (+ (* 1/12 x) 1/2) x) 1) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/12 binary64) x)))))
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 (exp.f64 x) (expm1.f64 x)))
#s(approx (exp x) (exp.f64 x))
#s(approx (- (exp x) 1) (expm1.f64 x))
#s(approx (- (/ 1 x) -1/2) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))
#s(approx (- x -1) (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))))
#s(approx (+ (/ x (* x x)) (+ (* 1/12 x) 1/2)) (*.f64 #s(literal 1/12 binary64) x))
#s(approx (+ (/ x (* x x)) (+ (* 1/12 x) 1/2)) (.f64 x (+.f64 #s(literal 1/12 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))))
#s(approx (+ (/ x (* x x)) (+ (* 1/12 x) 1/2)) (*.f64 x (+.f64 #s(literal 1/12 binary64) (fma.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))))
#s(approx (* x (+ (* (+ (* 1/12 x) 1/2) x) 1)) (*.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 3 binary64))))
#s(approx (* x (+ (* (+ (* 1/12 x) 1/2) x) 1)) (.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 #s(literal 1/12 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))))
#s(approx (* x (+ (* (+ (* 1/12 x) 1/2) x) 1)) (*.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 #s(literal 1/12 binary64) (fma.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))))
#s(approx (+ (* (+ (* 1/12 x) 1/2) x) 1) (*.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 2 binary64))))
#s(approx (+ (* (+ (* 1/12 x) 1/2) x) 1) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/12 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))))
#s(approx (+ (* (+ (* 1/12 x) 1/2) x) 1) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/12 binary64) (fma.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))))
#s(approx (+ (/ x (* x x)) (+ (* 1/12 x) 1/2)) (.f64 #s(literal -1 binary64) (.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) x)) #s(literal 1/12 binary64)))))
#s(approx (* x (+ (* (+ (* 1/12 x) 1/2) x) 1)) (.f64 #s(literal -1 binary64) (.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) x)) #s(literal 1/12 binary64)))))

Calls

3 calls:

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

rewrite131.0ms (6.4%)

Memory

-0.7MiB live, 186.6MiB allocated; 15ms collecting garbage

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	28	152
0	45	144
1	232	136
2	860	136
0	4199	136

Stop Event

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

Counts

25 → 1 402

Calls

Call 1

Inputs
(/.f64 (exp.f64 x) (expm1.f64 x))
(exp.f64 x)
x
(expm1.f64 x)
#s(approx (/ (exp x) (- (exp x) 1)) (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)))
(-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64))
(/.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
#s(literal -1/2 binary64)
(/.f64 #s(approx (exp x) (-.f64 x #s(literal -1 binary64))) (-.f64 #s(approx (exp x) (-.f64 x #s(literal -1 binary64))) #s(literal 1 binary64)))
#s(approx (exp x) (-.f64 x #s(literal -1 binary64)))
(-.f64 x #s(literal -1 binary64))
#s(literal -1 binary64)
(-.f64 #s(approx (exp x) (-.f64 x #s(literal -1 binary64))) #s(literal 1 binary64))
#s(approx (/ (exp x) (- (exp x) 1)) (+.f64 (/.f64 x (*.f64 x x)) (fma.f64 #s(literal 1/12 binary64) x #s(literal 1/2 binary64))))
(+.f64 (/.f64 x (*.f64 x x)) (fma.f64 #s(literal 1/12 binary64) x #s(literal 1/2 binary64)))
(/.f64 x (*.f64 x x))
(*.f64 x x)
(fma.f64 #s(literal 1/12 binary64) x #s(literal 1/2 binary64))
#s(literal 1/12 binary64)
#s(literal 1/2 binary64)
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 (.f64 x (fma.f64 (fma.f64 #s(literal 1/12 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64))) (.f64 x x)))
(/.f64 (.f64 x (fma.f64 (fma.f64 #s(literal 1/12 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64))) (.f64 x x))
(*.f64 x (fma.f64 (fma.f64 #s(literal 1/12 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)))
(fma.f64 (fma.f64 #s(literal 1/12 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64))

Outputs
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 (sinh.f64 x) (expm1.f64 x)) (/.f64 (cosh.f64 x) (expm1.f64 x)))) (/.f64 (cosh.f64 x) (expm1.f64 x)))
(*.f64 (exp.f64 (+.f64 x #s(literal 0 binary64))) (/.f64 #s(literal 1 binary64) (expm1.f64 x)))
(*.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 x)) (exp.f64 x))
(*.f64 (neg.f64 (exp.f64 x)) (/.f64 #s(literal -1 binary64) (expm1.f64 x)))
(*.f64 (exp.f64 x) (/.f64 #s(literal 1 binary64) (expm1.f64 x)))
(/.f64 (fma.f64 (/.f64 (cosh.f64 x) (expm1.f64 x)) (expm1.f64 x) (sinh.f64 x)) (expm1.f64 x))
(/.f64 (fma.f64 (cosh.f64 x) (expm1.f64 x) (.f64 (sinh.f64 x) (expm1.f64 x))) (.f64 (expm1.f64 x) (expm1.f64 x)))
(/.f64 (-.f64 (.f64 (/.f64 (cosh.f64 x) (expm1.f64 x)) (/.f64 (cosh.f64 x) (expm1.f64 x))) (.f64 (/.f64 (sinh.f64 x) (expm1.f64 x)) (/.f64 (sinh.f64 x) (expm1.f64 x)))) (-.f64 (/.f64 (cosh.f64 x) (expm1.f64 x)) (/.f64 (sinh.f64 x) (expm1.f64 x))))
(/.f64 (+.f64 (pow.f64 (/.f64 (cosh.f64 x) (expm1.f64 x)) #s(literal 3 binary64)) (pow.f64 (/.f64 (sinh.f64 x) (expm1.f64 x)) #s(literal 3 binary64))) (fma.f64 (/.f64 (cosh.f64 x) (expm1.f64 x)) (/.f64 (cosh.f64 x) (expm1.f64 x)) (-.f64 (.f64 (/.f64 (sinh.f64 x) (expm1.f64 x)) (/.f64 (sinh.f64 x) (expm1.f64 x))) (.f64 (/.f64 (cosh.f64 x) (expm1.f64 x)) (/.f64 (sinh.f64 x) (expm1.f64 x))))))
(/.f64 (fma.f64 (cosh.f64 x) (expm1.f64 x) (.f64 (expm1.f64 x) (sinh.f64 x))) (.f64 (expm1.f64 x) (expm1.f64 x)))
(/.f64 (neg.f64 (exp.f64 (+.f64 x #s(literal 0 binary64)))) (neg.f64 (expm1.f64 x)))
(/.f64 (exp.f64 (+.f64 x #s(literal 0 binary64))) (expm1.f64 x))
(/.f64 (neg.f64 (exp.f64 x)) (neg.f64 (expm1.f64 x)))
(/.f64 #s(literal 1 binary64) (/.f64 (expm1.f64 x) (exp.f64 (+.f64 x #s(literal 0 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (expm1.f64 x)) (neg.f64 (exp.f64 x))))
(/.f64 #s(literal 1 binary64) (/.f64 (expm1.f64 x) (exp.f64 x)))
(/.f64 (exp.f64 x) (expm1.f64 x))
(neg.f64 (*.f64 (/.f64 #s(literal -1 binary64) (expm1.f64 x)) (exp.f64 x)))
(neg.f64 (/.f64 (exp.f64 (+.f64 x #s(literal 0 binary64))) (neg.f64 (expm1.f64 x))))
(neg.f64 (/.f64 (neg.f64 (exp.f64 x)) (expm1.f64 x)))
(fma.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 x)) (sinh.f64 x) (*.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 x)) (cosh.f64 x)))
(fma.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 x)) (cosh.f64 x) (*.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 x)) (sinh.f64 x)))
(fma.f64 (sinh.f64 x) (/.f64 #s(literal 1 binary64) (expm1.f64 x)) (/.f64 (cosh.f64 x) (expm1.f64 x)))
(fma.f64 (cosh.f64 x) (/.f64 #s(literal 1 binary64) (expm1.f64 x)) (/.f64 (sinh.f64 x) (expm1.f64 x)))
(-.f64 (/.f64 (cosh.f64 x) (expm1.f64 x)) (neg.f64 (/.f64 (sinh.f64 x) (expm1.f64 x))))
(-.f64 (/.f64 (cosh.f64 x) (expm1.f64 x)) (/.f64 (sinh.f64 (neg.f64 x)) (expm1.f64 x)))
(+.f64 (.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 x)) (sinh.f64 x)) (.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 x)) (cosh.f64 x)))
(+.f64 (.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 x)) (cosh.f64 x)) (.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 x)) (sinh.f64 x)))
(+.f64 (/.f64 (sinh.f64 x) (expm1.f64 x)) (/.f64 (cosh.f64 x) (expm1.f64 x)))
(+.f64 (/.f64 (cosh.f64 x) (expm1.f64 x)) (/.f64 (sinh.f64 x) (expm1.f64 x)))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (cosh.f64 x) (sinh.f64 x))) (sinh.f64 x))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (sinh.f64 (neg.f64 x)) (cosh.f64 x))) (cosh.f64 x))
(*.f64 (sqrt.f64 (exp.f64 x)) (sqrt.f64 (exp.f64 x)))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (sinh.f64 x) (cosh.f64 x))) (cosh.f64 x))
(pow.f64 (exp.f64 #s(literal 1 binary64)) x)
(pow.f64 (exp.f64 (+.f64 x x)) #s(literal 1/2 binary64))
(pow.f64 (exp.f64 x) #s(literal 1 binary64))
(/.f64 (fma.f64 (sinh.f64 x) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 x))) #s(literal 2 binary64))
(/.f64 (fma.f64 (cosh.f64 x) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 x))) #s(literal 2 binary64))
(/.f64 (fma.f64 (.f64 #s(literal 2 binary64) (sinh.f64 x)) #s(literal 2 binary64) (.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 2 binary64))) #s(literal 4 binary64))
(/.f64 (fma.f64 (.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 2 binary64) (.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 x)) #s(literal 2 binary64))) #s(literal 4 binary64))
(/.f64 (-.f64 (.f64 (sinh.f64 x) (sinh.f64 x)) (.f64 (cosh.f64 x) (cosh.f64 x))) (-.f64 (sinh.f64 x) (cosh.f64 x)))
(/.f64 (-.f64 (.f64 (cosh.f64 x) (cosh.f64 x)) (.f64 (sinh.f64 (neg.f64 x)) (sinh.f64 (neg.f64 x)))) (exp.f64 (neg.f64 x)))
(/.f64 (+.f64 (pow.f64 (sinh.f64 x) #s(literal 3 binary64)) (pow.f64 (cosh.f64 x) #s(literal 3 binary64))) (fma.f64 (sinh.f64 x) (sinh.f64 x) (-.f64 (.f64 (cosh.f64 x) (cosh.f64 x)) (.f64 (sinh.f64 x) (cosh.f64 x)))))
(/.f64 (-.f64 (pow.f64 (cosh.f64 x) #s(literal 3 binary64)) (pow.f64 (sinh.f64 (neg.f64 x)) #s(literal 3 binary64))) (fma.f64 (cosh.f64 x) (cosh.f64 x) (fma.f64 (sinh.f64 (neg.f64 x)) (sinh.f64 (neg.f64 x)) (*.f64 (cosh.f64 x) (sinh.f64 (neg.f64 x))))))
(/.f64 (fma.f64 #s(literal 2 binary64) (sinh.f64 x) (*.f64 #s(literal 2 binary64) (cosh.f64 x))) #s(literal 2 binary64))
(/.f64 (fma.f64 #s(literal 2 binary64) (cosh.f64 x) (*.f64 #s(literal 2 binary64) (sinh.f64 x))) #s(literal 2 binary64))
(/.f64 (fma.f64 (.f64 #s(literal 2 binary64) (sinh.f64 x)) #s(literal 2 binary64) (.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 x)))) #s(literal 4 binary64))
(/.f64 (fma.f64 (.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 2 binary64) (.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 x)))) #s(literal 4 binary64))
(/.f64 (-.f64 (.f64 (cosh.f64 x) (cosh.f64 x)) (.f64 (sinh.f64 x) (sinh.f64 x))) (exp.f64 (neg.f64 x)))
(/.f64 (+.f64 (pow.f64 (cosh.f64 x) #s(literal 3 binary64)) (pow.f64 (sinh.f64 x) #s(literal 3 binary64))) (fma.f64 (cosh.f64 x) (cosh.f64 x) (-.f64 (.f64 (sinh.f64 x) (sinh.f64 x)) (.f64 (cosh.f64 x) (sinh.f64 x)))))
(/.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 x)))
(neg.f64 (neg.f64 (exp.f64 x)))
(fma.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 x)) #s(literal 1/2 binary64) (cosh.f64 x))
(fma.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 1/2 binary64) (sinh.f64 x))
(-.f64 (sinh.f64 x) (neg.f64 (cosh.f64 x)))
(-.f64 (cosh.f64 x) (sinh.f64 (neg.f64 x)))
(sqrt.f64 (exp.f64 (+.f64 x x)))
(fabs.f64 (neg.f64 (exp.f64 x)))
(fabs.f64 (exp.f64 x))
(exp.f64 x)
(+.f64 (neg.f64 (neg.f64 (cosh.f64 x))) (sinh.f64 x))
(+.f64 (sinh.f64 x) (cosh.f64 x))
(+.f64 (cosh.f64 x) (sinh.f64 x))
x
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (sinh.f64 x) #s(literal 1 binary64)) (cosh.f64 x))) (cosh.f64 x))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (exp.f64 x) #s(literal -1 binary64))) #s(literal -1 binary64))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (exp.f64 x))) (exp.f64 x))
(*.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 x))) (exp.f64 x))
(/.f64 (-.f64 (*.f64 (exp.f64 x) (neg.f64 x)) (neg.f64 x)) (neg.f64 x))
(/.f64 (-.f64 (*.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 2 binary64))
(/.f64 (-.f64 (*.f64 (exp.f64 x) x) x) x)
(/.f64 (-.f64 (.f64 (cosh.f64 x) (cosh.f64 x)) (.f64 (-.f64 (sinh.f64 x) #s(literal 1 binary64)) (-.f64 (sinh.f64 x) #s(literal 1 binary64)))) (-.f64 (cosh.f64 x) (-.f64 (sinh.f64 x) #s(literal 1 binary64))))
(/.f64 (-.f64 (*.f64 #s(literal -1 binary64) #s(literal -1 binary64)) (exp.f64 (+.f64 x x))) (-.f64 #s(literal -1 binary64) (exp.f64 x)))
(/.f64 (+.f64 (pow.f64 (cosh.f64 x) #s(literal 3 binary64)) (pow.f64 (-.f64 (sinh.f64 x) #s(literal 1 binary64)) #s(literal 3 binary64))) (fma.f64 (cosh.f64 x) (cosh.f64 x) (-.f64 (.f64 (-.f64 (sinh.f64 x) #s(literal 1 binary64)) (-.f64 (sinh.f64 x) #s(literal 1 binary64))) (.f64 (cosh.f64 x) (-.f64 (sinh.f64 x) #s(literal 1 binary64))))))
(/.f64 (+.f64 (pow.f64 #s(literal -1 binary64) #s(literal 3 binary64)) (pow.f64 (exp.f64 x) #s(literal 3 binary64))) (fma.f64 #s(literal -1 binary64) #s(literal -1 binary64) (-.f64 (exp.f64 (+.f64 x x)) (*.f64 #s(literal -1 binary64) (exp.f64 x)))))
(/.f64 (-.f64 (exp.f64 (+.f64 x x)) (*.f64 #s(literal -1 binary64) #s(literal -1 binary64))) (-.f64 (exp.f64 x) #s(literal -1 binary64)))
(/.f64 (+.f64 (pow.f64 (exp.f64 x) #s(literal 3 binary64)) (pow.f64 #s(literal -1 binary64) #s(literal 3 binary64))) (+.f64 (exp.f64 (+.f64 x x)) (-.f64 (.f64 #s(literal -1 binary64) #s(literal -1 binary64)) (.f64 (exp.f64 x) #s(literal -1 binary64)))))
(/.f64 (-.f64 (exp.f64 (+.f64 x x)) (*.f64 #s(literal 1 binary64) #s(literal 1 binary64))) (+.f64 (exp.f64 x) #s(literal 1 binary64)))
(/.f64 (-.f64 (pow.f64 (exp.f64 x) #s(literal 3 binary64)) (pow.f64 #s(literal 1 binary64) #s(literal 3 binary64))) (+.f64 (exp.f64 (+.f64 x x)) (fma.f64 #s(literal 1 binary64) #s(literal 1 binary64) (exp.f64 (+.f64 x #s(literal 0 binary64))))))
(neg.f64 (neg.f64 (expm1.f64 x)))
(expm1.f64 x)
(fma.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 1/2 binary64) (-.f64 (sinh.f64 x) #s(literal 1 binary64)))
(-.f64 (sinh.f64 x) (-.f64 #s(literal 1 binary64) (cosh.f64 x)))
(-.f64 (cosh.f64 x) (neg.f64 (-.f64 (sinh.f64 x) #s(literal 1 binary64))))
(-.f64 #s(literal -1 binary64) (neg.f64 (exp.f64 x)))
(-.f64 (exp.f64 x) #s(literal 1 binary64))
(+.f64 (cosh.f64 x) (-.f64 (sinh.f64 x) #s(literal 1 binary64)))
(+.f64 #s(literal -1 binary64) (exp.f64 x))
(+.f64 (exp.f64 x) #s(literal -1 binary64))
#s(approx (/ (exp x) (- (exp x) 1)) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) x)))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))) #s(literal 1/2 binary64))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))) (/.f64 #s(literal 1 binary64) x))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) x))) (/.f64 #s(literal 1 binary64) x))
(/.f64 (fma.f64 #s(literal 1/2 binary64) (fabs.f64 x) (copysign.f64 #s(literal 1 binary64) x)) (fabs.f64 x))
(/.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 (neg.f64 x) x) (neg.f64 x)) (.f64 (neg.f64 x) x))
(/.f64 (fma.f64 #s(literal 1/2 binary64) (neg.f64 x) #s(literal -1 binary64)) (neg.f64 x))
(/.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 x x) x) (.f64 x x))
(/.f64 (-.f64 (.f64 #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) (.f64 x x))) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))
(/.f64 (+.f64 (pow.f64 #s(literal 1/2 binary64) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 3 binary64))) (fma.f64 #s(literal 1/2 binary64) #s(literal 1/2 binary64) (-.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))))
(/.f64 (neg.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64))) (neg.f64 x))
(/.f64 (neg.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal -1 binary64))) x)
(/.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x)
(/.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal -1 binary64)) (neg.f64 x))
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (.f64 #s(literal 1/2 binary64) #s(literal 1/2 binary64))) (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)))
(/.f64 (+.f64 (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 3 binary64)) (pow.f64 #s(literal 1/2 binary64) #s(literal 3 binary64))) (+.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (-.f64 (.f64 #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)))))
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(+.f64 (.f64 x (.f64 #s(literal 1/12 binary64) x)) (*.f64 x (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) x))))
(+.f64 (.f64 x #s(literal 1/2 binary64)) (.f64 x (fma.f64 #s(literal 1/12 binary64) x (/.f64 #s(literal 1 binary64) x))))
(+.f64 (.f64 (.f64 #s(literal 1/12 binary64) x) x) (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) x)) x))
(+.f64 (.f64 #s(literal 1/2 binary64) x) (.f64 (fma.f64 #s(literal 1/12 binary64) x (/.f64 #s(literal 1 binary64) x)) x))
(+.f64 (/.f64 (.f64 (.f64 (fma.f64 #s(literal 1/12 binary64) x #s(literal 1/2 binary64)) x) x) x) #s(literal 1 binary64))
(+.f64 (.f64 (fma.f64 #s(literal 1/12 binary64) x #s(literal 1/2 binary64)) x) (.f64 (/.f64 #s(literal 1 binary64) x) x))
(+.f64 (*.f64 (fma.f64 #s(literal 1/12 binary64) x #s(literal 1/2 binary64)) x) #s(literal 1 binary64))
(+.f64 (fma.f64 (fma.f64 #s(literal 1/12 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/12 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) #s(literal 0 binary64)))
(+.f64 #s(literal 1 binary64) (.f64 x (/.f64 (.f64 (fma.f64 #s(literal 1/12 binary64) x #s(literal 1/2 binary64)) x) x)))
(+.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 (fma.f64 #s(literal 1/12 binary64) x #s(literal 1/2 binary64)) x) x) x))
(+.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal 1/12 binary64) x #s(literal 1/2 binary64)) x))

eval147.0ms (7.2%)

Memory: -5.2MiB live, 199.7MiB allocated; 124ms collecting garbage
Compiler: Compiled 23 035 to 3 200 computations (86.1% saved)

prune36.0ms (1.8%)

Memory

-5.8MiB live, 40.8MiB allocated; 2ms collecting garbage

Pruning

13 alts after pruning (6 fresh and 7 done)

	Pruned	Kept	Total
New	954	2	956
Fresh	0	4	4
Picked	0	5	5
Done	0	2	2
Total	954	13	967

Accuracy

100.0%

Counts

967 → 13

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(/.f64 (exp.f64 x) (expm1.f64 x))
✓	4.5%	(/.f64 #s(approx (exp x) (-.f64 x #s(literal -1 binary64))) (-.f64 #s(approx (exp x) (-.f64 x #s(literal -1 binary64))) #s(literal 1 binary64)))
✓	100.0%	(*.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 x)) (exp.f64 x))
▶	97.8%	(*.f64 (/.f64 #s(literal 1 binary64) #s(approx (- (exp x) 1) x)) (exp.f64 x))
	68.6%	#s(approx (/ (exp x) (- (exp x) 1)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) x) (.f64 (.f64 #s(literal 1/12 binary64) x) #s(literal 1 binary64))))
▶	68.6%	#s(approx (/ (exp x) (- (exp x) 1)) (fma.f64 x #s(literal 1/12 binary64) (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64))))
✓	39.7%	#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 (.f64 x (fma.f64 (fma.f64 #s(literal 1/12 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64))) (.f64 x x)))
✓	68.6%	#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 #s(literal 1 binary64) x))
▶	40.0%	#s(approx (/ (exp x) (- (exp x) 1)) (-.f64 (/.f64 x (*.f64 x x)) #s(literal -1/2 binary64)))
✓	68.6%	#s(approx (/ (exp x) (- (exp x) 1)) (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)))
✓	40.0%	#s(approx (/ (exp x) (- (exp x) 1)) (+.f64 (/.f64 x (*.f64 x x)) (fma.f64 #s(literal 1/12 binary64) x #s(literal 1/2 binary64))))
▶	3.1%	#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (/ (+ 1 (* x (+ 1/2 (* 1/12 x)))) x) (.f64 x (+.f64 #s(literal 1/12 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))))
▶	3.5%	#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (+ (/ x (* x x)) (+ (* 1/12 x) 1/2)) (*.f64 #s(literal 1/12 binary64) x)))

Compiler

Compiled 320 to 226 computations (29.4% saved)

sample0.0ms (0.0%)

Memory

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

Calls

Call 1

Inputs
1
1/12
-1/2
1/2

Outputs
#s(literal 1 binary64)
#s(literal 6004799503160661/72057594037927936 binary64)
#s(literal -1/2 binary64)
#s(literal 1/2 binary64)

Samples

0.0ms

1×

valid

Compiler

Compiled 6 to 6 computations (0.0% saved)

Precisions

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

adjust: 0.0ms (0.0% of total)

series10.0ms (0.5%)

Memory

14.8MiB live, 14.8MiB allocated; 0ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	110	410

Stop Event

1×	iter-limit

Counts

25 → 31

Calls

Call 1

Inputs
(*.f64 (/.f64 #s(literal 1 binary64) #s(approx (- (exp x) 1) x)) (exp.f64 x))
(/.f64 #s(literal 1 binary64) #s(approx (- (exp x) 1) x))
#s(literal 1 binary64)
#s(approx (- (exp x) 1) x)
x
(exp.f64 x)
#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (+ (/ x (* x x)) (+ (* 1/12 x) 1/2)) (*.f64 #s(literal 1/12 binary64) x)))
#s(approx (+ (/ x (* x x)) (+ (* 1/12 x) 1/2)) (*.f64 #s(literal 1/12 binary64) x))
(*.f64 #s(literal 1/12 binary64) x)
#s(literal 1/12 binary64)
#s(approx (/ (exp x) (- (exp x) 1)) (-.f64 (/.f64 x (*.f64 x x)) #s(literal -1/2 binary64)))
(-.f64 (/.f64 x (*.f64 x x)) #s(literal -1/2 binary64))
(/.f64 x (*.f64 x x))
(*.f64 x x)
#s(literal -1/2 binary64)
#s(approx (/ (exp x) (- (exp x) 1)) (fma.f64 x #s(literal 1/12 binary64) (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64))))
(fma.f64 x #s(literal 1/12 binary64) (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)))
(-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64))
(/.f64 #s(literal 1 binary64) x)
#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (/ (+ 1 (* x (+ 1/2 (* 1/12 x)))) x) (.f64 x (+.f64 #s(literal 1/12 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))))
#s(approx (/ (+ 1 (* x (+ 1/2 (* 1/12 x)))) x) (.f64 x (+.f64 #s(literal 1/12 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))))
(.f64 x (+.f64 #s(literal 1/12 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))
(+.f64 #s(literal 1/12 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))
(*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))
#s(literal 1/2 binary64)

Outputs
#s(approx (* (/ 1 (- (exp x) 1)) (exp x)) (/.f64 #s(literal 1 binary64) x))
#s(approx (* (/ 1 (- (exp x) 1)) (exp x)) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x)) x))
#s(approx (* (/ 1 (- (exp x) 1)) (exp x)) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/12 binary64) x)))) x))
#s(approx (* (/ 1 (- (exp x) 1)) (exp x)) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 #s(literal -1/720 binary64) (pow.f64 x #s(literal 2 binary64)))))))) x))
#s(approx (/ 1 (- (exp x) 1)) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) x)) x))
#s(approx (/ 1 (- (exp x) 1)) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 x (-.f64 (.f64 #s(literal 1/12 binary64) x) #s(literal 1/2 binary64)))) x))
#s(approx (/ 1 (- (exp x) 1)) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 x (-.f64 (.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 #s(literal -1/720 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal 1/2 binary64)))) x))
#s(approx (- (exp x) 1) x)
#s(approx (- (exp x) 1) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) x))))
#s(approx (- (exp x) 1) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) x))))))
#s(approx (- (exp x) 1) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 #s(literal 1/24 binary64) x))))))))
#s(approx (exp x) #s(literal 1 binary64))
#s(approx (exp x) (+.f64 #s(literal 1 binary64) x))
#s(approx (exp x) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) x)))))
#s(approx (exp x) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) x)))))))
#s(approx (* 1/12 x) (*.f64 #s(literal 1/12 binary64) x))
#s(approx (* x x) (pow.f64 x #s(literal 2 binary64)))
#s(approx (* x (+ 1/12 (* 1/2 (/ 1 x)))) #s(literal 1/2 binary64))
#s(approx (* x (+ 1/12 (* 1/2 (/ 1 x)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/12 binary64) x)))
#s(approx (+ 1/12 (* 1/2 (/ 1 x))) (/.f64 #s(literal 1/2 binary64) x))
#s(approx (+ 1/12 (* 1/2 (/ 1 x))) (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/12 binary64) x)) x))
#s(approx (* (/ 1 (- (exp x) 1)) (exp x)) (/.f64 (exp.f64 x) (expm1.f64 x)))
#s(approx (/ 1 (- (exp x) 1)) (/.f64 #s(literal 1 binary64) (expm1.f64 x)))
#s(approx (- (exp x) 1) (expm1.f64 x))
#s(approx (exp x) (exp.f64 x))
#s(approx (+ (/ x (* x x)) (+ (* 1/12 x) 1/2)) (.f64 x (+.f64 #s(literal 1/12 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))))
#s(approx (+ (/ x (* x x)) (+ (* 1/12 x) 1/2)) (*.f64 x (+.f64 #s(literal 1/12 binary64) (fma.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))))
#s(approx (- (/ x (* x x)) -1/2) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))
#s(approx (+ 1/12 (* 1/2 (/ 1 x))) #s(literal 1/12 binary64))
#s(approx (+ 1/12 (* 1/2 (/ 1 x))) (+.f64 #s(literal 1/12 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))
#s(approx (+ (/ x (* x x)) (+ (* 1/12 x) 1/2)) (.f64 #s(literal -1 binary64) (.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) x)) #s(literal 1/12 binary64)))))

Calls

3 calls:

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

rewrite137.0ms (6.7%)

Memory

-17.4MiB live, 218.6MiB allocated; 15ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	37	206
0	52	200
1	296	170
2	1163	170
0	4071	153

Stop Event

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

Counts

25 → 997

Calls

Call 1

Inputs
(*.f64 (/.f64 #s(literal 1 binary64) #s(approx (- (exp x) 1) x)) (exp.f64 x))
(/.f64 #s(literal 1 binary64) #s(approx (- (exp x) 1) x))
#s(literal 1 binary64)
#s(approx (- (exp x) 1) x)
x
(exp.f64 x)
#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (+ (/ x (* x x)) (+ (* 1/12 x) 1/2)) (*.f64 #s(literal 1/12 binary64) x)))
#s(approx (+ (/ x (* x x)) (+ (* 1/12 x) 1/2)) (*.f64 #s(literal 1/12 binary64) x))
(*.f64 #s(literal 1/12 binary64) x)
#s(literal 1/12 binary64)
#s(approx (/ (exp x) (- (exp x) 1)) (-.f64 (/.f64 x (*.f64 x x)) #s(literal -1/2 binary64)))
(-.f64 (/.f64 x (*.f64 x x)) #s(literal -1/2 binary64))
(/.f64 x (*.f64 x x))
(*.f64 x x)
#s(literal -1/2 binary64)
#s(approx (/ (exp x) (- (exp x) 1)) (fma.f64 x #s(literal 1/12 binary64) (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64))))
(fma.f64 x #s(literal 1/12 binary64) (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)))
(-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64))
(/.f64 #s(literal 1 binary64) x)
#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (/ (+ 1 (* x (+ 1/2 (* 1/12 x)))) x) (.f64 x (+.f64 #s(literal 1/12 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))))
#s(approx (/ (+ 1 (* x (+ 1/2 (* 1/12 x)))) x) (.f64 x (+.f64 #s(literal 1/12 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))))
(.f64 x (+.f64 #s(literal 1/12 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))
(+.f64 #s(literal 1/12 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))
(*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))
#s(literal 1/2 binary64)

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

eval94.0ms (4.6%)

Memory: 11.2MiB live, 195.0MiB allocated; 25ms collecting garbage
Compiler: Compiled 20 342 to 2 997 computations (85.3% saved)

prune30.0ms (1.5%)

Memory

15.6MiB live, 64.4MiB allocated; 17ms collecting garbage

Pruning

14 alts after pruning (5 fresh and 9 done)

	Pruned	Kept	Total
New	826	4	830
Fresh	0	1	1
Picked	2	3	5
Done	1	6	7
Total	829	14	843

Accuracy

100.0%

Counts

843 → 14

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(/.f64 (exp.f64 x) (expm1.f64 x))
	97.8%	(/.f64 (exp.f64 x) #s(approx (- (exp x) 1) x))
✓	100.0%	(*.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 x)) (exp.f64 x))
	68.6%	#s(approx (/ (exp x) (- (exp x) 1)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) x) (.f64 (.f64 #s(literal 1/12 binary64) x) #s(literal 1 binary64))))
✓	68.6%	#s(approx (/ (exp x) (- (exp x) 1)) (fma.f64 x #s(literal 1/12 binary64) (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64))))
✓	39.7%	#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 (.f64 x (fma.f64 (fma.f64 #s(literal 1/12 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64))) (.f64 x x)))
✓	68.6%	#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 #s(literal 1 binary64) x))
✓	40.0%	#s(approx (/ (exp x) (- (exp x) 1)) (-.f64 (/.f64 x (*.f64 x x)) #s(literal -1/2 binary64)))
✓	68.6%	#s(approx (/ (exp x) (- (exp x) 1)) (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)))
✓	40.0%	#s(approx (/ (exp x) (- (exp x) 1)) (+.f64 (/.f64 x (*.f64 x x)) (fma.f64 #s(literal 1/12 binary64) x #s(literal 1/2 binary64))))
	3.1%	#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (/ (+ 1 (* x (+ 1/2 (* 1/12 x)))) x) (fma.f64 x #s(literal 1/12 binary64) #s(literal 1/2 binary64))))
	3.0%	#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (/ (+ 1 (* x (+ 1/2 (* 1/12 x)))) x) (.f64 (.f64 (fma.f64 #s(literal 1/12 binary64) x #s(literal 1/2 binary64)) x) (/.f64 #s(literal 1 binary64) x))))
	3.3%	#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (/ (+ 1 (* x (+ 1/2 (* 1/12 x)))) x) #s(approx (* x (+ 1/12 (* 1/2 (/ 1 x)))) #s(literal 1/2 binary64))))
✓	3.5%	#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (+ (/ x (* x x)) (+ (* 1/12 x) 1/2)) (*.f64 #s(literal 1/12 binary64) x)))

Compiler

Compiled 244 to 171 computations (29.9% saved)

regimes117.0ms (5.7%)

Memory

-8.3MiB live, 278.7MiB allocated; 44ms collecting garbage

Counts

1 → 1

2 → 1

4 → 1

7 → 1

11 → 1

15 → 1

18 → 1

19 → 1

21 → 1

Calls

Call 1

Inputs
#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (/ (+ 1 (* x (+ 1/2 (* 1/12 x)))) x) #s(approx (* x (+ 1/12 (* 1/2 (/ 1 x)))) #s(literal 1/2 binary64))))

Outputs
#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (/ (+ 1 (* x (+ 1/2 (* 1/12 x)))) x) #s(approx (* x (+ 1/12 (* 1/2 (/ 1 x)))) #s(literal 1/2 binary64))))

Call 2

Inputs

#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (/ (+ 1 (* x (+ 1/2 (* 1/12 x)))) x) #s(approx (* x (+ 1/12 (* 1/2 (/ 1 x)))) #s(literal 1/2 binary64))))

#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (+ (/ x (* x x)) (+ (* 1/12 x) 1/2)) (*.f64 #s(literal 1/12 binary64) x)))

Outputs
#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (+ (/ x (* x x)) (+ (* 1/12 x) 1/2)) (*.f64 #s(literal 1/12 binary64) x)))

Call 3

Inputs
#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (/ (+ 1 (* x (+ 1/2 (* 1/12 x)))) x) #s(approx (* x (+ 1/12 (* 1/2 (/ 1 x)))) #s(literal 1/2 binary64))))
#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (+ (/ x (* x x)) (+ (* 1/12 x) 1/2)) (*.f64 #s(literal 1/12 binary64) x)))
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 #s(literal 1 binary64) x))
#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (/ (+ 1 (* x (+ 1/2 (* 1/12 x)))) x) (fma.f64 x #s(literal 1/12 binary64) #s(literal 1/2 binary64))))

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

Call 4

Inputs
#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (/ (+ 1 (* x (+ 1/2 (* 1/12 x)))) x) #s(approx (* x (+ 1/12 (* 1/2 (/ 1 x)))) #s(literal 1/2 binary64))))
#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (+ (/ x (* x x)) (+ (* 1/12 x) 1/2)) (*.f64 #s(literal 1/12 binary64) x)))
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 #s(literal 1 binary64) x))
#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (/ (+ 1 (* x (+ 1/2 (* 1/12 x)))) x) (fma.f64 x #s(literal 1/12 binary64) #s(literal 1/2 binary64))))
#s(approx (/ (exp x) (- (exp x) 1)) (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)))
#s(approx (/ (exp x) (- (exp x) 1)) (-.f64 (/.f64 x (*.f64 x x)) #s(literal -1/2 binary64)))
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x)) x))

Outputs
#s(approx (/ (exp x) (- (exp x) 1)) (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)))

Call 5

Inputs
#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (/ (+ 1 (* x (+ 1/2 (* 1/12 x)))) x) #s(approx (* x (+ 1/12 (* 1/2 (/ 1 x)))) #s(literal 1/2 binary64))))
#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (+ (/ x (* x x)) (+ (* 1/12 x) 1/2)) (*.f64 #s(literal 1/12 binary64) x)))
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 #s(literal 1 binary64) x))
#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (/ (+ 1 (* x (+ 1/2 (* 1/12 x)))) x) (fma.f64 x #s(literal 1/12 binary64) #s(literal 1/2 binary64))))
#s(approx (/ (exp x) (- (exp x) 1)) (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)))
#s(approx (/ (exp x) (- (exp x) 1)) (-.f64 (/.f64 x (*.f64 x x)) #s(literal -1/2 binary64)))
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x)) x))
#s(approx (/ (exp x) (- (exp x) 1)) (fma.f64 x #s(literal 1/12 binary64) (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64))))
(/.f64 #s(approx (exp x) (-.f64 x #s(literal -1 binary64))) (-.f64 #s(approx (exp x) (-.f64 x #s(literal -1 binary64))) #s(literal 1 binary64)))
(/.f64 #s(approx (exp x) (+.f64 #s(literal 1 binary64) x)) (-.f64 #s(approx (exp x) (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)))
#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (/ (+ 1 (* x (+ 1/2 (* 1/12 x)))) x) (.f64 x (+.f64 #s(literal 1/12 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))))

Outputs
#s(approx (/ (exp x) (- (exp x) 1)) (fma.f64 x #s(literal 1/12 binary64) (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64))))

Call 6

Inputs
#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (/ (+ 1 (* x (+ 1/2 (* 1/12 x)))) x) #s(approx (* x (+ 1/12 (* 1/2 (/ 1 x)))) #s(literal 1/2 binary64))))
#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (+ (/ x (* x x)) (+ (* 1/12 x) 1/2)) (*.f64 #s(literal 1/12 binary64) x)))
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 #s(literal 1 binary64) x))
#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (/ (+ 1 (* x (+ 1/2 (* 1/12 x)))) x) (fma.f64 x #s(literal 1/12 binary64) #s(literal 1/2 binary64))))
#s(approx (/ (exp x) (- (exp x) 1)) (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)))
#s(approx (/ (exp x) (- (exp x) 1)) (-.f64 (/.f64 x (*.f64 x x)) #s(literal -1/2 binary64)))
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x)) x))
#s(approx (/ (exp x) (- (exp x) 1)) (fma.f64 x #s(literal 1/12 binary64) (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64))))
(/.f64 #s(approx (exp x) (-.f64 x #s(literal -1 binary64))) (-.f64 #s(approx (exp x) (-.f64 x #s(literal -1 binary64))) #s(literal 1 binary64)))
(/.f64 #s(approx (exp x) (+.f64 #s(literal 1 binary64) x)) (-.f64 #s(approx (exp x) (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)))
#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (/ (+ 1 (* x (+ 1/2 (* 1/12 x)))) x) (.f64 x (+.f64 #s(literal 1/12 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))))
(/.f64 (exp.f64 x) #s(approx (- (exp x) 1) x))
#s(approx (/ (exp x) (- (exp x) 1)) (+.f64 (/.f64 x (*.f64 x x)) (fma.f64 #s(literal 1/12 binary64) x #s(literal 1/2 binary64))))
#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (/ (+ 1 (* x (+ 1/2 (* 1/12 x)))) x) (.f64 (.f64 (fma.f64 #s(literal 1/12 binary64) x #s(literal 1/2 binary64)) x) (/.f64 #s(literal 1 binary64) x))))
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/12 binary64) x)))) x))

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

Call 7

Inputs
#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (/ (+ 1 (* x (+ 1/2 (* 1/12 x)))) x) #s(approx (* x (+ 1/12 (* 1/2 (/ 1 x)))) #s(literal 1/2 binary64))))
#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (+ (/ x (* x x)) (+ (* 1/12 x) 1/2)) (*.f64 #s(literal 1/12 binary64) x)))
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 #s(literal 1 binary64) x))
#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (/ (+ 1 (* x (+ 1/2 (* 1/12 x)))) x) (fma.f64 x #s(literal 1/12 binary64) #s(literal 1/2 binary64))))
#s(approx (/ (exp x) (- (exp x) 1)) (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)))
#s(approx (/ (exp x) (- (exp x) 1)) (-.f64 (/.f64 x (*.f64 x x)) #s(literal -1/2 binary64)))
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x)) x))
#s(approx (/ (exp x) (- (exp x) 1)) (fma.f64 x #s(literal 1/12 binary64) (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64))))
(/.f64 #s(approx (exp x) (-.f64 x #s(literal -1 binary64))) (-.f64 #s(approx (exp x) (-.f64 x #s(literal -1 binary64))) #s(literal 1 binary64)))
(/.f64 #s(approx (exp x) (+.f64 #s(literal 1 binary64) x)) (-.f64 #s(approx (exp x) (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)))
#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (/ (+ 1 (* x (+ 1/2 (* 1/12 x)))) x) (.f64 x (+.f64 #s(literal 1/12 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))))
(/.f64 (exp.f64 x) #s(approx (- (exp x) 1) x))
#s(approx (/ (exp x) (- (exp x) 1)) (+.f64 (/.f64 x (*.f64 x x)) (fma.f64 #s(literal 1/12 binary64) x #s(literal 1/2 binary64))))
#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (/ (+ 1 (* x (+ 1/2 (* 1/12 x)))) x) (.f64 (.f64 (fma.f64 #s(literal 1/12 binary64) x #s(literal 1/2 binary64)) x) (/.f64 #s(literal 1 binary64) x))))
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/12 binary64) x)))) x))
(*.f64 (/.f64 #s(literal 1 binary64) #s(approx (- (exp x) 1) x)) (exp.f64 x))
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 (.f64 x (fma.f64 (fma.f64 #s(literal 1/12 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64))) (.f64 x x)))
#s(approx (/ (exp x) (- (exp x) 1)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) x) (.f64 (.f64 #s(literal 1/12 binary64) x) #s(literal 1 binary64))))

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

Call 8

Inputs
#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (/ (+ 1 (* x (+ 1/2 (* 1/12 x)))) x) #s(approx (* x (+ 1/12 (* 1/2 (/ 1 x)))) #s(literal 1/2 binary64))))
#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (+ (/ x (* x x)) (+ (* 1/12 x) 1/2)) (*.f64 #s(literal 1/12 binary64) x)))
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 #s(literal 1 binary64) x))
#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (/ (+ 1 (* x (+ 1/2 (* 1/12 x)))) x) (fma.f64 x #s(literal 1/12 binary64) #s(literal 1/2 binary64))))
#s(approx (/ (exp x) (- (exp x) 1)) (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)))
#s(approx (/ (exp x) (- (exp x) 1)) (-.f64 (/.f64 x (*.f64 x x)) #s(literal -1/2 binary64)))
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x)) x))
#s(approx (/ (exp x) (- (exp x) 1)) (fma.f64 x #s(literal 1/12 binary64) (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64))))
(/.f64 #s(approx (exp x) (-.f64 x #s(literal -1 binary64))) (-.f64 #s(approx (exp x) (-.f64 x #s(literal -1 binary64))) #s(literal 1 binary64)))
(/.f64 #s(approx (exp x) (+.f64 #s(literal 1 binary64) x)) (-.f64 #s(approx (exp x) (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)))
#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (/ (+ 1 (* x (+ 1/2 (* 1/12 x)))) x) (.f64 x (+.f64 #s(literal 1/12 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))))
(/.f64 (exp.f64 x) #s(approx (- (exp x) 1) x))
#s(approx (/ (exp x) (- (exp x) 1)) (+.f64 (/.f64 x (*.f64 x x)) (fma.f64 #s(literal 1/12 binary64) x #s(literal 1/2 binary64))))
#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (/ (+ 1 (* x (+ 1/2 (* 1/12 x)))) x) (.f64 (.f64 (fma.f64 #s(literal 1/12 binary64) x #s(literal 1/2 binary64)) x) (/.f64 #s(literal 1 binary64) x))))
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/12 binary64) x)))) x))
(*.f64 (/.f64 #s(literal 1 binary64) #s(approx (- (exp x) 1) x)) (exp.f64 x))
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 (.f64 x (fma.f64 (fma.f64 #s(literal 1/12 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64))) (.f64 x x)))
#s(approx (/ (exp x) (- (exp x) 1)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) x) (.f64 (.f64 #s(literal 1/12 binary64) x) #s(literal 1 binary64))))
(/.f64 (exp.f64 x) (expm1.f64 x))

Outputs
(/.f64 (exp.f64 x) (expm1.f64 x))

Call 9

Inputs
#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (/ (+ 1 (* x (+ 1/2 (* 1/12 x)))) x) #s(approx (* x (+ 1/12 (* 1/2 (/ 1 x)))) #s(literal 1/2 binary64))))
#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (+ (/ x (* x x)) (+ (* 1/12 x) 1/2)) (*.f64 #s(literal 1/12 binary64) x)))
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 #s(literal 1 binary64) x))
#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (/ (+ 1 (* x (+ 1/2 (* 1/12 x)))) x) (fma.f64 x #s(literal 1/12 binary64) #s(literal 1/2 binary64))))
#s(approx (/ (exp x) (- (exp x) 1)) (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)))
#s(approx (/ (exp x) (- (exp x) 1)) (-.f64 (/.f64 x (*.f64 x x)) #s(literal -1/2 binary64)))
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x)) x))
#s(approx (/ (exp x) (- (exp x) 1)) (fma.f64 x #s(literal 1/12 binary64) (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64))))
(/.f64 #s(approx (exp x) (-.f64 x #s(literal -1 binary64))) (-.f64 #s(approx (exp x) (-.f64 x #s(literal -1 binary64))) #s(literal 1 binary64)))
(/.f64 #s(approx (exp x) (+.f64 #s(literal 1 binary64) x)) (-.f64 #s(approx (exp x) (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)))
#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (/ (+ 1 (* x (+ 1/2 (* 1/12 x)))) x) (.f64 x (+.f64 #s(literal 1/12 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))))
(/.f64 (exp.f64 x) #s(approx (- (exp x) 1) x))
#s(approx (/ (exp x) (- (exp x) 1)) (+.f64 (/.f64 x (*.f64 x x)) (fma.f64 #s(literal 1/12 binary64) x #s(literal 1/2 binary64))))
#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (/ (+ 1 (* x (+ 1/2 (* 1/12 x)))) x) (.f64 (.f64 (fma.f64 #s(literal 1/12 binary64) x #s(literal 1/2 binary64)) x) (/.f64 #s(literal 1 binary64) x))))
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/12 binary64) x)))) x))
(*.f64 (/.f64 #s(literal 1 binary64) #s(approx (- (exp x) 1) x)) (exp.f64 x))
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 (.f64 x (fma.f64 (fma.f64 #s(literal 1/12 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64))) (.f64 x x)))
#s(approx (/ (exp x) (- (exp x) 1)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) x) (.f64 (.f64 #s(literal 1/12 binary64) x) #s(literal 1 binary64))))
(/.f64 (exp.f64 x) (expm1.f64 x))
(*.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 x)) (exp.f64 x))
(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64)))

Outputs
(*.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 x)) (exp.f64 x))

Calls

27 calls:

17.0ms	x
10.0ms	x
6.0ms	(exp.f64 x)
6.0ms	x
6.0ms	(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64)))

Results

Accuracy	Segments	Branch
3.3%	1	`(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64)))`
3.3%	1	`(exp.f64 x)`
3.3%	1	`x`
3.5%	1	`(exp.f64 x)`
3.5%	1	`(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64)))`
3.5%	1	`x`
68.6%	1	`(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64)))`
68.6%	1	`(exp.f64 x)`
68.6%	1	`x`
68.6%	1	`(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64)))`
68.6%	1	`(exp.f64 x)`
68.6%	1	`x`
68.6%	1	`(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64)))`
68.6%	1	`(exp.f64 x)`
68.6%	1	`x`
97.8%	1	`(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64)))`
97.8%	1	`(exp.f64 x)`
97.8%	1	`x`
97.8%	1	`(exp.f64 x)`
97.8%	1	`(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64)))`
97.8%	1	`x`
100.0%	1	`(exp.f64 x)`
100.0%	1	`(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64)))`
100.0%	1	`x`
100.0%	1	`(exp.f64 x)`
100.0%	1	`(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64)))`
100.0%	1	`x`

Compiler

Compiled 445 to 164 computations (63.1% saved)

derivations114.0ms (5.6%)

Memory

3.5MiB live, 141.1MiB allocated; 28ms collecting garbage

Stop Event

1×

fuel

Compiler

Compiled 126 to 45 computations (64.3% saved)

preprocess72.0ms (3.5%)

Memory: 5.2MiB live, 192.0MiB allocated; 24ms collecting garbage
Compiler: Compiled 139 to 56 computations (59.7% saved)

end0.0ms (0.0%)

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

start0.0ms (0.0%)

analyze11.0ms (0.5%)

sample559.0ms (27.4%)

preprocess31.0ms (1.5%)

sample0.0ms (0.0%)

series13.0ms (0.6%)

rewrite144.0ms (7.1%)

eval100.0ms (4.9%)

prune11.0ms (0.5%)

sample0.0ms (0.0%)

series16.0ms (0.8%)

rewrite140.0ms (6.9%)

eval89.0ms (4.4%)

prune23.0ms (1.1%)

sample0.0ms (0.0%)

series11.0ms (0.5%)

rewrite131.0ms (6.4%)

eval147.0ms (7.2%)

prune36.0ms (1.8%)

sample0.0ms (0.0%)

series10.0ms (0.5%)

rewrite137.0ms (6.7%)

eval94.0ms (4.6%)

prune30.0ms (1.5%)

regimes117.0ms (5.7%)

derivations114.0ms (5.6%)

preprocess72.0ms (3.5%)

end0.0ms (0.0%)

Profiling