Metrics for expq2 (section 3.11)

start0.0ms (0.0%)

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

analyze2.0ms (0.1%)

Memory

7.3MiB live, 7.3MiB allocated; 0ms 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)

sample1.1s (43.3%)

Memory

-117.5MiB live, 957.3MiB allocated; 988ms collecting garbage

Samples

442.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 250.0ms

ival-exp: 99.0ms (39.6% of total)

ival-div!: 88.0ms (35.2% of total)

ival-expm1: 62.0ms (24.8% of total)

adjust: 2.0ms (0.8% of total)

Bogosity

preprocess27.0ms (1.0%)

Memory

28.7MiB live, 28.7MiB allocated; 0ms 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
▶	38.3%	(/.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

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

Calls

Call 1

Inputs
1

Outputs
#s(literal 1 binary64)

Samples

0.0ms

1×

valid

Compiler

Compiled 3 to 3 computations (0.0% saved)

Precisions

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

adjust: 0.0ms (0.0% of total)

series20.0ms (0.8%)

Memory

-29.5MiB live, 17.7MiB allocated; 11ms 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
13.0ms	x	-inf
1.0ms	x	inf
0.0ms	x	0

rewrite133.0ms (5.1%)

Memory

13.1MiB live, 198.5MiB allocated; 34ms 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)))
(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))
(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)
(-.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)

eval67.0ms (2.6%)

Memory: 2.6MiB live, 139.3MiB allocated; 34ms collecting garbage
Compiler: Compiled 12 191 to 1 912 computations (84.3% saved)

prune11.0ms (0.4%)

Memory

28.5MiB live, 28.5MiB allocated; 0ms collecting garbage

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	574	5	579
Fresh	0	0	0
Picked	0	1	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
✓	38.3%	(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64)))
▶	100.0%	(/.f64 (exp.f64 x) (expm1.f64 x))
▶	100.0%	(*.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 x)) (exp.f64 x))
▶	66.1%	#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))
▶	66.0%	#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x)) x))
▶	66.1%	#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 #s(literal 1 binary64) x))

Compiler

Compiled 121 to 91 computations (24.8% 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)

series17.0ms (0.7%)

Memory

-15.4MiB live, 30.3MiB allocated; 6ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	110	475

Stop Event

1×	iter-limit

Counts

21 → 34

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

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 (+ 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
5.0ms	x	0
4.0ms	x	-inf
3.0ms	x	inf

rewrite161.0ms (6.2%)

Memory

4.3MiB live, 228.7MiB allocated; 47ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	24	116
0	38	114
1	167	106
2	668	106
3	3155	106
0	5739	99

Stop Event

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

Counts

21 → 899

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

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 (-.f64 (.f64 (.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 x)) (.f64 #s(literal 2 binary64) (cosh.f64 x))) (expm1.f64 x)) (.f64 #s(literal 2 binary64) (sinh.f64 (neg.f64 x)))) (*.f64 #s(literal 2 binary64) (expm1.f64 x)))
(/.f64 (-.f64 (.f64 (.f64 (.f64 #s(literal 2 binary64) (cosh.f64 x)) (/.f64 #s(literal 1 binary64) (expm1.f64 x))) (expm1.f64 x)) (.f64 #s(literal 2 binary64) (sinh.f64 (neg.f64 x)))) (*.f64 #s(literal 2 binary64) (expm1.f64 x)))
(/.f64 (-.f64 (.f64 (.f64 #s(literal -1 binary64) (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 (cosh.f64 x) #s(literal -1 binary64)) (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 -1 binary64) (.f64 #s(literal 2 binary64) (cosh.f64 x))) (expm1.f64 x)) (.f64 (.f64 (neg.f64 (expm1.f64 x)) #s(literal 2 binary64)) (sinh.f64 (neg.f64 x)))) (.f64 (*.f64 (neg.f64 (expm1.f64 x)) #s(literal 2 binary64)) (expm1.f64 x)))
(/.f64 (-.f64 (.f64 (.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) (cosh.f64 x))) (expm1.f64 x)) (.f64 (.f64 (expm1.f64 x) #s(literal 2 binary64)) (sinh.f64 (neg.f64 x)))) (.f64 (*.f64 (expm1.f64 x) #s(literal 2 binary64)) (expm1.f64 x)))
(/.f64 (-.f64 (.f64 (.f64 (.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal -1 binary64)) (expm1.f64 x)) (.f64 (.f64 #s(literal 2 binary64) (neg.f64 (expm1.f64 x))) (sinh.f64 (neg.f64 x)))) (.f64 (*.f64 #s(literal 2 binary64) (neg.f64 (expm1.f64 x))) (expm1.f64 x)))
(/.f64 (-.f64 (.f64 (.f64 (.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 1 binary64)) (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 (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 (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))
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(-.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)
(*.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 (-.f64 (.f64 (.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 x)) (.f64 #s(literal 2 binary64) (cosh.f64 x))) (expm1.f64 x)) (.f64 #s(literal 2 binary64) (sinh.f64 (neg.f64 x)))) (*.f64 #s(literal 2 binary64) (expm1.f64 x)))
(/.f64 (-.f64 (.f64 (.f64 (.f64 #s(literal 2 binary64) (cosh.f64 x)) (/.f64 #s(literal 1 binary64) (expm1.f64 x))) (expm1.f64 x)) (.f64 #s(literal 2 binary64) (sinh.f64 (neg.f64 x)))) (*.f64 #s(literal 2 binary64) (expm1.f64 x)))
(/.f64 (-.f64 (.f64 (.f64 #s(literal -1 binary64) (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 (cosh.f64 x) #s(literal -1 binary64)) (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 -1 binary64) (.f64 #s(literal 2 binary64) (cosh.f64 x))) (expm1.f64 x)) (.f64 (.f64 (neg.f64 (expm1.f64 x)) #s(literal 2 binary64)) (sinh.f64 (neg.f64 x)))) (.f64 (*.f64 (neg.f64 (expm1.f64 x)) #s(literal 2 binary64)) (expm1.f64 x)))
(/.f64 (-.f64 (.f64 (.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) (cosh.f64 x))) (expm1.f64 x)) (.f64 (.f64 (expm1.f64 x) #s(literal 2 binary64)) (sinh.f64 (neg.f64 x)))) (.f64 (*.f64 (expm1.f64 x) #s(literal 2 binary64)) (expm1.f64 x)))
(/.f64 (-.f64 (.f64 (.f64 (.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal -1 binary64)) (expm1.f64 x)) (.f64 (.f64 #s(literal 2 binary64) (neg.f64 (expm1.f64 x))) (sinh.f64 (neg.f64 x)))) (.f64 (*.f64 #s(literal 2 binary64) (neg.f64 (expm1.f64 x))) (expm1.f64 x)))
(/.f64 (-.f64 (.f64 (.f64 (.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 1 binary64)) (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 (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 (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)))

eval166.0ms (6.4%)

Memory: -15.2MiB live, 236.7MiB allocated; 124ms collecting garbage
Compiler: Compiled 21 132 to 3 497 computations (83.5% saved)

prune29.0ms (1.1%)

Memory

7.2MiB live, 60.9MiB allocated; 9ms collecting garbage

Pruning

12 alts after pruning (9 fresh and 3 done)

	Pruned	Kept	Total
New	1 094	9	1 103
Fresh	0	0	0
Picked	2	3	5
Done	1	0	1
Total	1 097	12	1 109

Accuracy

100.0%

Counts

1 109 → 12

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(/.f64 (/.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 x))) (expm1.f64 x))
✓	100.0%	(/.f64 (exp.f64 x) (expm1.f64 x))
▶	98.0%	(/.f64 (exp.f64 x) #s(approx (- (exp x) 1) x))
✓	100.0%	(*.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 x)) (exp.f64 x))
	66.1%	#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))))
	66.1%	#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 x (.f64 (-.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/2 binary64) x)) x))) x))
✓	66.1%	#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 #s(literal 1 binary64) x))
▶	66.0%	#s(approx (/ (exp x) (- (exp x) 1)) (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)))
	66.1%	#s(approx (/ (exp x) (- (exp x) 1)) (-.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 #s(literal -1/12 binary64) x) (/.f64 #s(literal 1 binary64) x))))
	35.8%	#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))))
▶	66.1%	#s(approx (/ (exp x) (- (exp x) 1)) (+.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 1/12 binary64) x (/.f64 #s(literal 1 binary64) x))))
▶	66.1%	#s(approx (/ (exp x) (- (exp x) 1)) (*.f64 (fma.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)))

Compiler

Compiled 297 to 220 computations (25.9% saved)

sample0.0ms (0.0%)

Memory

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

Calls

Call 1

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

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

series14.0ms (0.6%)

Memory

-18.8MiB live, 27.5MiB allocated; 5ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	133	530

Stop Event

1×	iter-limit

Counts

23 → 39

Calls

Call 1

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

Outputs
#s(approx (/ (/ 1 (exp (neg x))) (- (exp x) 1)) (/.f64 #s(literal 1 binary64) x))
#s(approx (/ (/ 1 (exp (neg x))) (- (exp x) 1)) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x)) x))
#s(approx (/ (/ 1 (exp (neg 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 (/ (/ 1 (exp (neg 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 (/ 1 (exp (neg x))) #s(literal 1 binary64))
#s(approx (/ 1 (exp (neg x))) (+.f64 #s(literal 1 binary64) x))
#s(approx (/ 1 (exp (neg x))) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) x)))))
#s(approx (/ 1 (exp (neg 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 (exp (neg x)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x)))
#s(approx (exp (neg x)) (+.f64 #s(literal 1 binary64) (.f64 x (-.f64 (.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64)))))
#s(approx (exp (neg x)) (+.f64 #s(literal 1 binary64) (.f64 x (-.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/6 binary64) x))) #s(literal 1 binary64)))))
#s(approx (neg x) (*.f64 #s(literal -1 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 (+ (* 1/12 x) (/ 1 x)) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 2 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 (+ (* 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 (/ (/ 1 (exp (neg x))) (- (exp x) 1)) (/.f64 #s(literal 1 binary64) (*.f64 (exp.f64 (neg.f64 x)) (expm1.f64 x))))
#s(approx (/ 1 (exp (neg x))) (/.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 x))))
#s(approx (exp (neg x)) (exp.f64 (neg.f64 x)))
#s(approx (- (exp x) 1) (expm1.f64 x))
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 (exp.f64 x) (expm1.f64 x)))
#s(approx (- (/ 1 x) -1/2) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))
#s(approx (+ 1/2 (+ (* 1/12 x) (/ 1 x))) (*.f64 #s(literal 1/12 binary64) x))
#s(approx (+ 1/2 (+ (* 1/12 x) (/ 1 x))) (.f64 x (+.f64 #s(literal 1/12 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))))
#s(approx (+ 1/2 (+ (* 1/12 x) (/ 1 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 (+ (* 1/12 x) (/ 1 x)) (*.f64 x (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))
#s(approx (exp x) (exp.f64 x))
#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 (/ (/ 1 (exp (neg x))) (- (exp x) 1)) (/.f64 #s(literal 1 binary64) (.f64 (exp.f64 (.f64 #s(literal -1 binary64) x)) (expm1.f64 x))))
#s(approx (/ 1 (exp (neg x))) (/.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -1 binary64) x))))
#s(approx (exp (neg x)) (exp.f64 (*.f64 #s(literal -1 binary64) x)))
#s(approx (+ 1/2 (+ (* 1/12 x) (/ 1 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
3.0ms	x	-inf
2.0ms	x	inf
1.0ms	x	0

rewrite148.0ms (5.7%)

Memory

1.0MiB live, 237.1MiB allocated; 15ms collecting garbage

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	26	124
0	44	118
1	204	112
2	707	112
3	3466	112
0	4029	112

Stop Event

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

Counts

23 → 1 112

Calls

Call 1

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

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

eval103.0ms (4.0%)

Memory: 17.5MiB live, 241.0MiB allocated; 30ms collecting garbage
Compiler: Compiled 17 198 to 2 952 computations (82.8% saved)

prune35.0ms (1.4%)

Memory

-0.9MiB live, 61.1MiB allocated; 30ms collecting garbage

Pruning

12 alts after pruning (7 fresh and 5 done)

	Pruned	Kept	Total
New	904	4	908
Fresh	1	3	4
Picked	2	3	5
Done	1	2	3
Total	908	12	920

Accuracy

100.0%

Counts

920 → 12

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(/.f64 (exp.f64 x) (expm1.f64 x))
✓	98.0%	(/.f64 (exp.f64 x) #s(approx (- (exp x) 1) x))
	38.3%	(/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 x))))
▶	100.0%	#s(approx (/ (/ 1 (exp (neg x))) (- (exp x) 1)) (/.f64 #s(literal 1 binary64) (*.f64 (exp.f64 (neg.f64 x)) (expm1.f64 x))))
▶	66.1%	#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))))
✓	66.1%	#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 #s(literal 1 binary64) x))
▶	66.1%	#s(approx (/ (exp x) (- (exp x) 1)) (-.f64 (fma.f64 #s(literal 1/12 binary64) x (/.f64 #s(literal 1 binary64) x)) #s(literal -1/2 binary64)))
✓	66.0%	#s(approx (/ (exp x) (- (exp x) 1)) (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)))
▶	66.1%	#s(approx (/ (exp x) (- (exp x) 1)) (-.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 #s(literal -1/12 binary64) x) (/.f64 #s(literal 1 binary64) x))))
	35.8%	#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))))
✓	66.1%	#s(approx (/ (exp x) (- (exp x) 1)) (*.f64 (fma.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)))
▶	3.4%	#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (+ 1/2 (+ (* 1/12 x) (/ 1 x))) (*.f64 #s(literal 1/12 binary64) x)))

Compiler

Compiled 285 to 212 computations (25.6% saved)

sample0.0ms (0.0%)

Memory

1.0MiB live, 1.0MiB allocated; 0ms collecting garbage

Calls

Call 1

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

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

series20.0ms (0.8%)

Memory

-2.7MiB live, 39.2MiB allocated; 12ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	144	497

Stop Event

1×	iter-limit

Counts

26 → 36

Calls

Call 1

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

Outputs
#s(approx (/ (/ 1 (exp (neg x))) (- (exp x) 1)) (/.f64 #s(literal 1 binary64) x))
#s(approx (/ (/ 1 (exp (neg x))) (- (exp x) 1)) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x)) x))
#s(approx (/ (/ 1 (exp (neg 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 (/ (/ 1 (exp (neg 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 (neg x)) (- (exp x) 1)) x)
#s(approx (* (exp (neg x)) (- (exp x) 1)) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) x))))
#s(approx (* (exp (neg x)) (- (exp x) 1)) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (-.f64 (*.f64 #s(literal 1/6 binary64) x) #s(literal 1/2 binary64))))))
#s(approx (* (exp (neg x)) (- (exp x) 1)) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (-.f64 (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 #s(literal -1/24 binary64) x))) #s(literal 1/2 binary64))))))
#s(approx (exp (neg x)) #s(literal 1 binary64))
#s(approx (exp (neg x)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x)))
#s(approx (exp (neg x)) (+.f64 #s(literal 1 binary64) (.f64 x (-.f64 (.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64)))))
#s(approx (exp (neg x)) (+.f64 #s(literal 1 binary64) (.f64 x (-.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/6 binary64) x))) #s(literal 1 binary64)))))
#s(approx (neg x) (*.f64 #s(literal -1 binary64) 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 (* 1/12 x) (*.f64 #s(literal 1/12 binary64) x))
#s(approx (+ (* 1/12 x) (/ 1 x)) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 2 binary64)))) x))
#s(approx (- (* -1/12 x) (/ 1 x)) (/.f64 #s(literal -1 binary64) x))
#s(approx (- (* -1/12 x) (/ 1 x)) (/.f64 (-.f64 (*.f64 #s(literal -1/12 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1 binary64)) x))
#s(approx (* -1/12 x) (*.f64 #s(literal -1/12 binary64) x))
#s(approx (/ (/ 1 (exp (neg x))) (- (exp x) 1)) (/.f64 #s(literal 1 binary64) (*.f64 (exp.f64 (neg.f64 x)) (expm1.f64 x))))
#s(approx (* (exp (neg x)) (- (exp x) 1)) (*.f64 (exp.f64 (neg.f64 x)) (expm1.f64 x)))
#s(approx (exp (neg x)) (exp.f64 (neg.f64 x)))
#s(approx (- (exp x) 1) (expm1.f64 x))
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 (exp.f64 x) (expm1.f64 x)))
#s(approx (+ 1/2 (+ (* 1/12 x) (/ 1 x))) (.f64 x (+.f64 #s(literal 1/12 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))))
#s(approx (+ 1/2 (+ (* 1/12 x) (/ 1 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 (+ (* 1/12 x) (/ 1 x)) (*.f64 x (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))
#s(approx (- (/ 1 x) -1/2) #s(literal 1/2 binary64))
#s(approx (- (/ 1 x) -1/2) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))
#s(approx (- (* -1/12 x) (/ 1 x)) (.f64 #s(literal -1 binary64) (.f64 x (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))))
#s(approx (/ (/ 1 (exp (neg x))) (- (exp x) 1)) (/.f64 #s(literal 1 binary64) (.f64 (exp.f64 (.f64 #s(literal -1 binary64) x)) (expm1.f64 x))))
#s(approx (* (exp (neg x)) (- (exp x) 1)) (.f64 (exp.f64 (.f64 #s(literal -1 binary64) x)) (expm1.f64 x)))
#s(approx (exp (neg x)) (exp.f64 (*.f64 #s(literal -1 binary64) x)))
#s(approx (+ 1/2 (+ (* 1/12 x) (/ 1 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
2.0ms	x	-inf
2.0ms	x	inf
1.0ms	x	0

rewrite160.0ms (6.2%)

Memory

27.0MiB live, 258.9MiB allocated; 50ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	37	169
0	52	164
1	259	157
2	878	157
3	3536	157
0	4043	155

Stop Event

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

Counts

26 → 810

Calls

Call 1

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

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

eval88.0ms (3.4%)

Memory: 12.8MiB live, 197.2MiB allocated; 27ms collecting garbage
Compiler: Compiled 17 311 to 2 909 computations (83.2% saved)

prune16.0ms (0.6%)

Memory

-5.4MiB live, 40.5MiB allocated; 4ms collecting garbage

Pruning

6 alts after pruning (1 fresh and 5 done)

	Pruned	Kept	Total
New	720	1	721
Fresh	2	0	2
Picked	2	3	5
Done	3	2	5
Total	727	6	733

Accuracy

100.0%

Counts

733 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
	100.0%	#s(approx (/ (/ 1 (exp (neg x))) (- (exp x) 1)) (/.f64 #s(literal -1 binary64) (expm1.f64 (neg.f64 x))))
✓	66.1%	#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))))
✓	66.1%	#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 #s(literal 1 binary64) x))
✓	66.1%	#s(approx (/ (exp x) (- (exp x) 1)) (-.f64 (fma.f64 #s(literal 1/12 binary64) x (/.f64 #s(literal 1 binary64) x)) #s(literal -1/2 binary64)))
✓	66.0%	#s(approx (/ (exp x) (- (exp x) 1)) (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)))
✓	3.4%	#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (+ 1/2 (+ (* 1/12 x) (/ 1 x))) (*.f64 #s(literal 1/12 binary64) x)))

Compiler

Compiled 93 to 70 computations (24.7% saved)

regimes63.0ms (2.4%)

Memory

11.8MiB live, 152.4MiB allocated; 19ms collecting garbage

Counts

1 → 1

4 → 1

7 → 1

16 → 1

20 → 1

Calls

Call 1

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

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

Call 2

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

Call 3

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

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

Call 4

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

Outputs
#s(approx (/ (/ 1 (exp (neg x))) (- (exp x) 1)) (/.f64 #s(literal -1 binary64) (expm1.f64 (neg.f64 x))))

Call 5

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

15 calls:

11.0ms	(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64)))
6.0ms	(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64)))
6.0ms	x
5.0ms	x
5.0ms	x

Results

Accuracy	Segments	Branch
3.4%	1	`(exp.f64 x)`
3.4%	1	`(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64)))`
3.4%	1	`x`
66.1%	1	`(exp.f64 x)`
66.1%	1	`(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64)))`
66.1%	1	`x`
66.1%	1	`(exp.f64 x)`
66.1%	1	`(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64)))`
66.1%	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 330 to 124 computations (62.4% saved)

derivations137.0ms (5.3%)

Memory

-36.9MiB live, 161.3MiB allocated; 68ms collecting garbage

Stop Event

1×

fuel

Compiler

Compiled 71 to 35 computations (50.7% saved)

preprocess49.0ms (1.9%)

Memory: 20.6MiB live, 65.6MiB allocated; 7ms collecting garbage
Compiler: Compiled 84 to 46 computations (45.2% saved)

end0.0ms (0.0%)

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

start0.0ms (0.0%)

analyze2.0ms (0.1%)

sample1.1s (43.3%)

preprocess27.0ms (1.0%)

sample0.0ms (0.0%)

series20.0ms (0.8%)

rewrite133.0ms (5.1%)

eval67.0ms (2.6%)

prune11.0ms (0.4%)

sample0.0ms (0.0%)

series17.0ms (0.7%)

rewrite161.0ms (6.2%)

eval166.0ms (6.4%)

prune29.0ms (1.1%)

sample0.0ms (0.0%)

series14.0ms (0.6%)

rewrite148.0ms (5.7%)

eval103.0ms (4.0%)

prune35.0ms (1.4%)

sample0.0ms (0.0%)

series20.0ms (0.8%)

rewrite160.0ms (6.2%)

eval88.0ms (3.4%)

prune16.0ms (0.6%)

regimes63.0ms (2.4%)

derivations137.0ms (5.3%)

preprocess49.0ms (1.9%)

end0.0ms (0.0%)

Profiling