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

3.2MiB live, 3.2MiB 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)

sample594.0ms (28.3%)

Memory

12.8MiB live, 1 052.3MiB allocated; 170ms collecting garbage

Samples

380.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 214.0ms

ival-exp: 121.0ms (56.5% of total)

ival-expm1: 47.0ms (21.9% of total)

ival-div!: 45.0ms (21.0% of total)

adjust: 2.0ms (0.9% of total)

Bogosity

preprocess32.0ms (1.5%)

Memory

-19.0MiB live, 34.0MiB allocated; 7ms 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
▶	39.1%	(/.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

0.4MiB live, 0.4MiB 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)

series15.0ms (0.7%)

Memory

29.6MiB live, 29.6MiB allocated; 0ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	59	188

Stop Event

1×	iter-limit

Counts

5 → 15

Calls

Call 1

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

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

Calls

3 calls:

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

rewrite158.0ms (7.5%)

Memory

-13.2MiB live, 263.9MiB allocated; 26ms 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	15

Stop Event

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

Counts

5 → 512

Calls

Call 1

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

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

eval48.0ms (2.3%)

Memory: -1.7MiB live, 185.6MiB allocated; 17ms collecting garbage
Compiler: Compiled 12 435 to 1 819 computations (85.4% saved)

prune10.0ms (0.5%)

Memory

34.7MiB live, 34.7MiB allocated; 0ms collecting garbage

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	518	5	523
Fresh	0	0	0
Picked	1	0	1
Done	-1	1	0
Total	518	6	524

Accuracy

100.0%

Counts

524 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	39.1%	(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64)))
▶	99.4%	(/.f64 (exp.f64 x) #s(approx (- (exp x) 1) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) x)))))
▶	65.6%	#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))
▶	65.7%	#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))
▶	65.8%	#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x)) x))
▶	65.4%	#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 #s(literal 1 binary64) x))

Compiler

Compiled 177 to 133 computations (24.9% saved)

sample0.0ms (0.0%)

Memory

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

Calls

Call 1

Inputs
1
1/2
1/12
-1/720
2

Outputs
#s(literal 1 binary64)
#s(literal 1/2 binary64)
#s(literal 6004799503160661/72057594037927936 binary64)
#s(literal -6405119470038039/4611686018427387904 binary64)
#s(literal 2 binary64)

Samples

0.0ms

1×

valid

Compiler

Compiled 7 to 7 computations (0.0% saved)

Precisions

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

adjust: 0.0ms (0.0% of total)

series24.0ms (1.2%)

Memory

6.1MiB live, 52.2MiB allocated; 4ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	153	950

Stop Event

1×	iter-limit

Counts

31 → 52

Calls

Call 1

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

Outputs
#s(approx x 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 (* 1/2 x) (*.f64 #s(literal 1/2 binary64) x))
#s(approx (+ 1 (* 1/2 x)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x)))
#s(approx (* x (+ 1 (* 1/2 x))) (.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 #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 (* 1/12 x) (*.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 (* x (+ 1/2 (* 1/12 x))) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/12 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 (pow x 2) (pow.f64 x #s(literal 2 binary64)))
#s(approx (* -1/720 (pow x 2)) (*.f64 #s(literal -1/720 binary64) (pow.f64 x #s(literal 2 binary64))))
#s(approx (+ 1/12 (* -1/720 (pow x 2))) #s(literal 1/12 binary64))
#s(approx (+ 1/12 (* -1/720 (pow x 2))) (+.f64 #s(literal 1/12 binary64) (*.f64 #s(literal -1/720 binary64) (pow.f64 x #s(literal 2 binary64)))))
#s(approx (* x (+ 1/12 (* -1/720 (pow x 2)))) (.f64 x (+.f64 #s(literal 1/12 binary64) (.f64 #s(literal -1/720 binary64) (pow.f64 x #s(literal 2 binary64))))))
#s(approx (+ 1/2 (* x (+ 1/12 (* -1/720 (pow x 2))))) (+.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)))))))
#s(approx (* x (+ 1/2 (* x (+ 1/12 (* -1/720 (pow x 2)))))) (.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))))))))
#s(approx (+ 1 (* x (+ 1/2 (* x (+ 1/12 (* -1/720 (pow x 2))))))) (+.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)))))))))
#s(approx (exp x) (exp.f64 x))
#s(approx (+ 1 (* 1/2 x)) (*.f64 x (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))
#s(approx (* x (+ 1 (* 1/2 x))) (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64))))
#s(approx (* x (+ 1 (* 1/2 x))) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))
#s(approx (- (exp x) 1) (-.f64 (exp.f64 x) #s(literal 1 binary64)))
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64))))
#s(approx (/ (+ 1 (* 1/2 x)) x) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))
#s(approx (+ 1/2 (* 1/12 x)) (.f64 x (+.f64 #s(literal 1/12 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))))
#s(approx (* x (+ 1/2 (* 1/12 x))) (*.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 2 binary64))))
#s(approx (* 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) (+.f64 (.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 x (+.f64 #s(literal 1/12 binary64) (+.f64 (.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 (* -1/720 (pow x 2))) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) #s(literal 1/720 binary64))))
#s(approx (* x (+ 1/12 (* -1/720 (pow x 2)))) (*.f64 #s(literal -1/720 binary64) (pow.f64 x #s(literal 3 binary64))))
#s(approx (* x (+ 1/12 (* -1/720 (pow x 2)))) (.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) #s(literal 1/720 binary64))))
#s(approx (+ 1/2 (* x (+ 1/12 (* -1/720 (pow x 2))))) (.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 3 binary64))) (.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal 1/720 binary64))))
#s(approx (* x (+ 1/2 (* x (+ 1/12 (* -1/720 (pow x 2)))))) (*.f64 #s(literal -1/720 binary64) (pow.f64 x #s(literal 4 binary64))))
#s(approx (* x (+ 1/2 (* x (+ 1/12 (* -1/720 (pow x 2)))))) (.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) #s(literal 1/720 binary64))))
#s(approx (* x (+ 1/2 (* x (+ 1/12 (* -1/720 (pow x 2)))))) (.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 3 binary64))) (.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal 1/720 binary64))))
#s(approx (+ 1 (* x (+ 1/2 (* x (+ 1/12 (* -1/720 (pow x 2))))))) (.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 3 binary64))) (+.f64 (.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64))))) #s(literal 1/720 binary64))))
#s(approx (/ (+ 1 (* x (+ 1/2 (* x (+ 1/12 (* -1/720 (pow x 2))))))) x) (.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 3 binary64))) (+.f64 (.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64))))) #s(literal 1/720 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)))))
#s(approx (* x (+ 1/12 (* -1/720 (pow x 2)))) (.f64 #s(literal -1 binary64) (.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 #s(literal 1/720 binary64) (*.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))))
#s(approx (+ 1/2 (* x (+ 1/12 (* -1/720 (pow x 2))))) (.f64 #s(literal -1 binary64) (.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 #s(literal 1/720 binary64) (.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))) (pow.f64 x #s(literal 2 binary64))))))))
#s(approx (/ (+ 1 (* x (+ 1/2 (* x (+ 1/12 (* -1/720 (pow x 2))))))) x) (.f64 #s(literal -1 binary64) (.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (+.f64 #s(literal 1/720 binary64) (.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) (pow.f64 x #s(literal 3 binary64))))) (.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))))

Calls

3 calls:

Time	Variable	Point
7.0ms	x	inf
5.0ms	x	-inf
3.0ms	x	0

rewrite199.0ms (9.5%)

Memory

-21.2MiB live, 417.3MiB allocated; 45ms collecting garbage

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	34	245
0	55	245
1	277	233
2	1194	233
0	4074	233

Stop Event

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

Counts

31 → 768

Calls

Call 1

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

Outputs
x
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (cosh.f64 x) (sinh.f64 x))) (sinh.f64 x))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (sinh.f64 (neg.f64 x)) (cosh.f64 x))) (cosh.f64 x))
(*.f64 (sqrt.f64 (exp.f64 x)) (sqrt.f64 (exp.f64 x)))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (sinh.f64 x) (cosh.f64 x))) (cosh.f64 x))
(pow.f64 (exp.f64 #s(literal 1 binary64)) x)
(pow.f64 (exp.f64 (+.f64 x x)) #s(literal 1/2 binary64))
(pow.f64 (exp.f64 x) #s(literal 1 binary64))
(/.f64 (+.f64 (.f64 (sinh.f64 x) #s(literal 2 binary64)) (.f64 #s(literal 2 binary64) (cosh.f64 x))) #s(literal 2 binary64))
(/.f64 (+.f64 (.f64 (cosh.f64 x) #s(literal 2 binary64)) (.f64 #s(literal 2 binary64) (sinh.f64 x))) #s(literal 2 binary64))
(/.f64 (+.f64 (.f64 (.f64 #s(literal 2 binary64) (sinh.f64 x)) #s(literal 2 binary64)) (.f64 (.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 2 binary64))) #s(literal 4 binary64))
(/.f64 (+.f64 (.f64 (.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 2 binary64)) (.f64 (.f64 #s(literal 2 binary64) (sinh.f64 x)) #s(literal 2 binary64))) #s(literal 4 binary64))
(/.f64 (-.f64 (.f64 (sinh.f64 x) (sinh.f64 x)) (.f64 (cosh.f64 x) (cosh.f64 x))) (-.f64 (sinh.f64 x) (cosh.f64 x)))
(/.f64 (-.f64 (.f64 (cosh.f64 x) (cosh.f64 x)) (.f64 (sinh.f64 (neg.f64 x)) (sinh.f64 (neg.f64 x)))) (exp.f64 (neg.f64 x)))
(/.f64 (+.f64 (pow.f64 (sinh.f64 x) #s(literal 3 binary64)) (pow.f64 (cosh.f64 x) #s(literal 3 binary64))) (+.f64 (.f64 (sinh.f64 x) (sinh.f64 x)) (-.f64 (.f64 (cosh.f64 x) (cosh.f64 x)) (*.f64 (sinh.f64 x) (cosh.f64 x)))))
(/.f64 (-.f64 (pow.f64 (cosh.f64 x) #s(literal 3 binary64)) (pow.f64 (sinh.f64 (neg.f64 x)) #s(literal 3 binary64))) (+.f64 (.f64 (cosh.f64 x) (cosh.f64 x)) (+.f64 (.f64 (sinh.f64 (neg.f64 x)) (sinh.f64 (neg.f64 x))) (*.f64 (cosh.f64 x) (sinh.f64 (neg.f64 x))))))
(/.f64 (+.f64 (.f64 #s(literal 2 binary64) (sinh.f64 x)) (.f64 #s(literal 2 binary64) (cosh.f64 x))) #s(literal 2 binary64))
(/.f64 (+.f64 (.f64 #s(literal 2 binary64) (cosh.f64 x)) (.f64 #s(literal 2 binary64) (sinh.f64 x))) #s(literal 2 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) (cosh.f64 x)))) #s(literal 4 binary64))
(/.f64 (+.f64 (.f64 (.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 2 binary64)) (.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) (sinh.f64 x)))) #s(literal 4 binary64))
(/.f64 (-.f64 (.f64 (cosh.f64 x) (cosh.f64 x)) (.f64 (sinh.f64 x) (sinh.f64 x))) (exp.f64 (neg.f64 x)))
(/.f64 (+.f64 (pow.f64 (cosh.f64 x) #s(literal 3 binary64)) (pow.f64 (sinh.f64 x) #s(literal 3 binary64))) (+.f64 (.f64 (cosh.f64 x) (cosh.f64 x)) (-.f64 (.f64 (sinh.f64 x) (sinh.f64 x)) (*.f64 (cosh.f64 x) (sinh.f64 x)))))
(neg.f64 (neg.f64 (exp.f64 x)))
(-.f64 (sinh.f64 x) (neg.f64 (cosh.f64 x)))
(-.f64 (cosh.f64 x) (sinh.f64 (neg.f64 x)))
(sqrt.f64 (exp.f64 (+.f64 x x)))
(fabs.f64 (neg.f64 (exp.f64 x)))
(fabs.f64 (exp.f64 x))
(exp.f64 x)
(+.f64 (sinh.f64 x) (cosh.f64 x))
(+.f64 (cosh.f64 x) (neg.f64 (sinh.f64 (neg.f64 x))))
(+.f64 (cosh.f64 x) (sinh.f64 x))
#s(literal 1 binary64)
#s(literal 1/2 binary64)
(*.f64 #s(literal 1/2 binary64) x)
(*.f64 x #s(literal 1/2 binary64))
(.f64 (+.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (.f64 #s(literal -1/2 binary64) x)) #s(literal 1 binary64))) #s(literal 1 binary64))
(.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (.f64 #s(literal 1/2 binary64) x))) (*.f64 #s(literal 1/2 binary64) x))
(.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) x))) (*.f64 #s(literal 1/2 binary64) x))
(.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal -1/2 binary64) x) #s(literal 1 binary64))) #s(literal 1 binary64))
(.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64))) #s(literal 1 binary64))
(/.f64 (+.f64 (.f64 (.f64 #s(literal 1/2 binary64) x) #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 2 binary64))
(/.f64 (-.f64 (.f64 #s(literal 1 binary64) #s(literal 1 binary64)) (.f64 (neg.f64 (.f64 #s(literal -1/2 binary64) x)) (neg.f64 (.f64 #s(literal -1/2 binary64) x)))) (-.f64 #s(literal 1 binary64) (neg.f64 (*.f64 #s(literal -1/2 binary64) x))))
(/.f64 (-.f64 (.f64 (.f64 #s(literal 1/2 binary64) x) (.f64 #s(literal 1/2 binary64) x)) (.f64 #s(literal -1 binary64) #s(literal -1 binary64))) (+.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal -1 binary64)))
(/.f64 (+.f64 (pow.f64 #s(literal 1 binary64) #s(literal 3 binary64)) (pow.f64 (neg.f64 (.f64 #s(literal -1/2 binary64) x)) #s(literal 3 binary64))) (+.f64 (.f64 #s(literal 1 binary64) #s(literal 1 binary64)) (-.f64 (.f64 (neg.f64 (.f64 #s(literal -1/2 binary64) x)) (neg.f64 (.f64 #s(literal -1/2 binary64) x))) (.f64 #s(literal 1 binary64) (neg.f64 (*.f64 #s(literal -1/2 binary64) x))))))
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(/.f64 (-.f64 (.f64 (-.f64 (.f64 (-.f64 (.f64 (.f64 x x) #s(literal -1/720 binary64)) #s(literal -1/12 binary64)) x) #s(literal -1/2 binary64)) x) #s(literal -1 binary64)) (neg.f64 (neg.f64 x)))
(/.f64 (-.f64 (.f64 (-.f64 (.f64 (-.f64 (.f64 (.f64 x x) #s(literal -1/720 binary64)) #s(literal -1/12 binary64)) x) #s(literal -1/2 binary64)) x) #s(literal -1 binary64)) x)
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 x) (.f64 (-.f64 (.f64 (-.f64 (.f64 (-.f64 (.f64 (*.f64 x x) #s(literal -1/720 binary64)) #s(literal -1/12 binary64)) x) #s(literal -1/2 binary64)) x) #s(literal -1 binary64)) #s(literal -1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 x (.f64 (-.f64 (.f64 (-.f64 (.f64 (-.f64 (.f64 (*.f64 x x) #s(literal -1/720 binary64)) #s(literal -1/12 binary64)) x) #s(literal -1/2 binary64)) x) #s(literal -1 binary64)) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (neg.f64 x) x) (+.f64 (.f64 #s(literal -1 binary64) x) (.f64 (.f64 (-.f64 (.f64 (-.f64 (.f64 (*.f64 x x) #s(literal -1/720 binary64)) #s(literal -1/12 binary64)) x) #s(literal -1/2 binary64)) x) (neg.f64 x)))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 x x) (+.f64 x (.f64 (.f64 (-.f64 (.f64 (-.f64 (.f64 (.f64 x x) #s(literal -1/720 binary64)) #s(literal -1/12 binary64)) x) #s(literal -1/2 binary64)) x) x))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (neg.f64 x) x) (+.f64 (.f64 #s(literal -1 binary64) x) (.f64 (neg.f64 x) (.f64 (-.f64 (.f64 (-.f64 (.f64 (*.f64 x x) #s(literal -1/720 binary64)) #s(literal -1/12 binary64)) x) #s(literal -1/2 binary64)) x)))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 x x) (+.f64 x (.f64 x (.f64 (-.f64 (.f64 (-.f64 (.f64 (.f64 x x) #s(literal -1/720 binary64)) #s(literal -1/12 binary64)) x) #s(literal -1/2 binary64)) x)))))
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (neg.f64 x)) (-.f64 (.f64 (-.f64 (.f64 (-.f64 (.f64 (.f64 x x) #s(literal -1/720 binary64)) #s(literal -1/12 binary64)) x) #s(literal -1/2 binary64)) x) #s(literal -1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 x) (-.f64 #s(literal -1 binary64) (.f64 (-.f64 (.f64 (-.f64 (.f64 (.f64 x x) #s(literal -1/720 binary64)) #s(literal -1/12 binary64)) x) #s(literal -1/2 binary64)) x))))
(/.f64 #s(literal 1 binary64) (/.f64 x (-.f64 (.f64 (-.f64 (.f64 (-.f64 (.f64 (.f64 x x) #s(literal -1/720 binary64)) #s(literal -1/12 binary64)) x) #s(literal -1/2 binary64)) x) #s(literal -1 binary64))))
(neg.f64 (-.f64 (neg.f64 (.f64 x (-.f64 (-.f64 (.f64 (*.f64 x x) #s(literal -1/720 binary64)) #s(literal -1/12 binary64)) (/.f64 #s(literal -1/2 binary64) x)))) (/.f64 #s(literal 1 binary64) x)))
(neg.f64 (-.f64 (-.f64 #s(literal -1/2 binary64) (.f64 (-.f64 (.f64 (*.f64 x x) #s(literal -1/720 binary64)) #s(literal -1/12 binary64)) x)) (/.f64 #s(literal 1 binary64) x)))
(-.f64 (.f64 x (-.f64 (-.f64 (.f64 (.f64 x x) #s(literal -1/720 binary64)) #s(literal -1/12 binary64)) (/.f64 #s(literal -1/2 binary64) x))) (.f64 (neg.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)))
(-.f64 (.f64 x (-.f64 (-.f64 (.f64 (*.f64 x x) #s(literal -1/720 binary64)) #s(literal -1/12 binary64)) (/.f64 #s(literal -1/2 binary64) x))) (neg.f64 (/.f64 #s(literal 1 binary64) x)))
(-.f64 (.f64 x (-.f64 (-.f64 (.f64 (*.f64 x x) #s(literal -1/720 binary64)) #s(literal -1/12 binary64)) (/.f64 #s(literal -1/2 binary64) x))) (/.f64 #s(literal -1 binary64) x))
(-.f64 (-.f64 (.f64 (-.f64 (.f64 (.f64 x x) #s(literal -1/720 binary64)) #s(literal -1/12 binary64)) x) #s(literal -1/2 binary64)) (.f64 (neg.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)))
(-.f64 (-.f64 (.f64 (-.f64 (.f64 (*.f64 x x) #s(literal -1/720 binary64)) #s(literal -1/12 binary64)) x) #s(literal -1/2 binary64)) (neg.f64 (/.f64 #s(literal 1 binary64) x)))
(-.f64 (-.f64 (.f64 (-.f64 (.f64 (*.f64 x x) #s(literal -1/720 binary64)) #s(literal -1/12 binary64)) x) #s(literal -1/2 binary64)) (/.f64 #s(literal -1 binary64) x))
(-.f64 (/.f64 #s(literal 1 binary64) x) (.f64 (-.f64 #s(literal -1/2 binary64) (.f64 (-.f64 (.f64 (.f64 x x) #s(literal -1/720 binary64)) #s(literal -1/12 binary64)) x)) (/.f64 x x)))
(-.f64 (/.f64 #s(literal 1 binary64) x) (.f64 (neg.f64 x) (-.f64 (-.f64 (.f64 (*.f64 x x) #s(literal -1/720 binary64)) #s(literal -1/12 binary64)) (/.f64 #s(literal -1/2 binary64) x))))
(-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (.f64 (-.f64 #s(literal -1/2 binary64) (.f64 (-.f64 (.f64 (.f64 x x) #s(literal -1/720 binary64)) #s(literal -1/12 binary64)) x)) x) (neg.f64 (neg.f64 x))))
(-.f64 (/.f64 #s(literal 1 binary64) x) (neg.f64 (.f64 x (-.f64 (-.f64 (.f64 (*.f64 x x) #s(literal -1/720 binary64)) #s(literal -1/12 binary64)) (/.f64 #s(literal -1/2 binary64) x)))))
(-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (.f64 (-.f64 #s(literal -1/2 binary64) (.f64 (-.f64 (.f64 (.f64 x x) #s(literal -1/720 binary64)) #s(literal -1/12 binary64)) x)) x) x))
(+.f64 (/.f64 (.f64 #s(literal -1 binary64) x) (.f64 (neg.f64 x) x)) (/.f64 (.f64 (.f64 (-.f64 (.f64 (-.f64 (.f64 (.f64 x x) #s(literal -1/720 binary64)) #s(literal -1/12 binary64)) x) #s(literal -1/2 binary64)) x) (neg.f64 x)) (.f64 (neg.f64 x) x)))
(+.f64 (/.f64 (.f64 #s(literal -1 binary64) x) (.f64 (neg.f64 x) x)) (/.f64 (.f64 (neg.f64 x) (.f64 (-.f64 (.f64 (-.f64 (.f64 (.f64 x x) #s(literal -1/720 binary64)) #s(literal -1/12 binary64)) x) #s(literal -1/2 binary64)) x)) (.f64 (neg.f64 x) x)))
(+.f64 (/.f64 x (.f64 x x)) (/.f64 (.f64 (.f64 (-.f64 (.f64 (-.f64 (.f64 (.f64 x x) #s(literal -1/720 binary64)) #s(literal -1/12 binary64)) x) #s(literal -1/2 binary64)) x) x) (*.f64 x x)))
(+.f64 (/.f64 x (.f64 x x)) (/.f64 (.f64 x (.f64 (-.f64 (.f64 (-.f64 (.f64 (.f64 x x) #s(literal -1/720 binary64)) #s(literal -1/12 binary64)) x) #s(literal -1/2 binary64)) x)) (*.f64 x x)))
(+.f64 (/.f64 (.f64 #s(literal 1/2 binary64) x) x) (/.f64 (-.f64 (.f64 (.f64 (-.f64 (.f64 (*.f64 x x) #s(literal -1/720 binary64)) #s(literal -1/12 binary64)) x) x) #s(literal -1 binary64)) (neg.f64 (neg.f64 x))))
(+.f64 (/.f64 (.f64 #s(literal 1/2 binary64) x) x) (/.f64 (-.f64 (.f64 (.f64 (-.f64 (.f64 (*.f64 x x) #s(literal -1/720 binary64)) #s(literal -1/12 binary64)) x) x) #s(literal -1 binary64)) x))
(+.f64 (.f64 x (-.f64 (-.f64 (.f64 (*.f64 x x) #s(literal -1/720 binary64)) #s(literal -1/12 binary64)) (/.f64 #s(literal -1/2 binary64) x))) (/.f64 #s(literal 1 binary64) x))
(+.f64 (-.f64 (.f64 (-.f64 (.f64 (*.f64 x x) #s(literal -1/720 binary64)) #s(literal -1/12 binary64)) x) #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) x))
(+.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) (/.f64 (.f64 (.f64 (-.f64 (.f64 (.f64 x x) #s(literal -1/720 binary64)) #s(literal -1/12 binary64)) x) x) (neg.f64 (neg.f64 x))))
(+.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) (/.f64 (.f64 (.f64 (-.f64 (.f64 (.f64 x x) #s(literal -1/720 binary64)) #s(literal -1/12 binary64)) x) x) x))
(+.f64 (/.f64 #s(literal 1 binary64) x) (neg.f64 (neg.f64 (.f64 x (-.f64 (-.f64 (.f64 (*.f64 x x) #s(literal -1/720 binary64)) #s(literal -1/12 binary64)) (/.f64 #s(literal -1/2 binary64) x))))))
(+.f64 (/.f64 #s(literal 1 binary64) x) (neg.f64 (/.f64 (.f64 (-.f64 #s(literal -1/2 binary64) (.f64 (-.f64 (.f64 (.f64 x x) #s(literal -1/720 binary64)) #s(literal -1/12 binary64)) x)) x) x)))
(+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (.f64 (neg.f64 (neg.f64 x)) (-.f64 (.f64 (-.f64 (.f64 (.f64 x x) #s(literal -1/720 binary64)) #s(literal -1/12 binary64)) x) #s(literal -1/2 binary64))) (neg.f64 (neg.f64 x))))
(+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (.f64 (neg.f64 (neg.f64 x)) (-.f64 (.f64 (-.f64 (.f64 (.f64 x x) #s(literal -1/720 binary64)) #s(literal -1/12 binary64)) x) #s(literal -1/2 binary64))) x))
(+.f64 (/.f64 #s(literal 1 binary64) x) (.f64 x (-.f64 (-.f64 (.f64 (*.f64 x x) #s(literal -1/720 binary64)) #s(literal -1/12 binary64)) (/.f64 #s(literal -1/2 binary64) x))))
(+.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (.f64 (.f64 (-.f64 (.f64 (.f64 x x) #s(literal -1/720 binary64)) #s(literal -1/12 binary64)) x) x) #s(literal -1 binary64)) x))
#s(approx (/ (exp x) (- (exp x) 1)) (-.f64 (-.f64 (.f64 (-.f64 (.f64 (*.f64 x x) #s(literal -1/720 binary64)) #s(literal -1/12 binary64)) x) #s(literal -1/2 binary64)) (/.f64 #s(literal -1 binary64) x)))

eval90.0ms (4.3%)

Memory: -7.7MiB live, 224.5MiB allocated; 24ms collecting garbage
Compiler: Compiled 24 668 to 3 942 computations (84.0% saved)

prune18.0ms (0.9%)

Memory

18.8MiB live, 65.3MiB allocated; 3ms collecting garbage

Pruning

10 alts after pruning (6 fresh and 4 done)

	Pruned	Kept	Total
New	820	6	826
Fresh	0	0	0
Picked	5	0	5
Done	-3	4	1
Total	822	10	832

Accuracy

100.0%

Counts

832 → 10

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	39.1%	(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64)))
✓	99.4%	(/.f64 (exp.f64 x) #s(approx (- (exp x) 1) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) x)))))
▶	82.2%	(/.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(approx (- (exp x) 1) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) x)))))
	35.8%	#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 (-.f64 x (.f64 x (.f64 (-.f64 #s(literal -1/2 binary64) (.f64 #s(literal 1/12 binary64) x)) x))) (.f64 x x)))
✓	65.7%	#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))
▶	65.7%	#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 #s(literal 2 binary64) (*.f64 x #s(literal 2 binary64))))
✓	65.4%	#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 #s(literal 1 binary64) x))
▶	65.7%	#s(approx (/ (exp x) (- (exp x) 1)) (-.f64 (-.f64 (.f64 (-.f64 (.f64 (*.f64 x x) #s(literal -1/720 binary64)) #s(literal -1/12 binary64)) x) #s(literal -1/2 binary64)) (/.f64 #s(literal -1 binary64) x)))
▶	65.8%	#s(approx (/ (exp x) (- (exp x) 1)) (-.f64 (-.f64 (*.f64 #s(literal 1/12 binary64) x) #s(literal -1/2 binary64)) (/.f64 #s(literal -1 binary64) x)))
▶	65.8%	#s(approx (/ (exp x) (- (exp x) 1)) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) x)))

Compiler

Compiled 264 to 191 computations (27.7% saved)

sample0.0ms (0.0%)

Memory

1.1MiB live, 1.1MiB allocated; 0ms collecting garbage

Calls

Call 1

Inputs
1
1/2
-1
2
1/12
-1/2
-1/720
-1/12

Outputs
#s(literal 1 binary64)
#s(literal 1/2 binary64)
#s(literal -1 binary64)
#s(literal 2 binary64)
#s(literal 6004799503160661/72057594037927936 binary64)
#s(literal -1/2 binary64)
#s(literal -6405119470038039/4611686018427387904 binary64)
#s(literal -6004799503160661/72057594037927936 binary64)

Samples

0.0ms

1×

valid

Compiler

Compiled 10 to 10 computations (0.0% saved)

Precisions

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

adjust: 0.0ms (0.0% of total)

series21.0ms (1.0%)

Memory

-7.2MiB live, 38.9MiB allocated; 4ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	151	683

Stop Event

1×	iter-limit

Counts

32 → 43

Calls

Call 1

Inputs
x
#s(literal 1 binary64)
#s(approx (exp x) #s(literal 1 binary64))
#s(literal 1/2 binary64)
(*.f64 #s(literal 1/2 binary64) x)
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x))
(.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 #s(literal 1/2 binary64) x))))
(/.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(approx (- (exp x) 1) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) x)))))
#s(literal -1 binary64)
(/.f64 #s(literal -1 binary64) x)
(-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) x))
#s(approx (/ (exp x) (- (exp x) 1)) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) x)))
#s(literal 2 binary64)
(*.f64 x #s(literal 2 binary64))
(/.f64 #s(literal 2 binary64) (*.f64 x #s(literal 2 binary64)))
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 #s(literal 2 binary64) (*.f64 x #s(literal 2 binary64))))
#s(literal 1/12 binary64)
(*.f64 #s(literal 1/12 binary64) x)
#s(literal -1/2 binary64)
(-.f64 (*.f64 #s(literal 1/12 binary64) x) #s(literal -1/2 binary64))
(-.f64 (-.f64 (*.f64 #s(literal 1/12 binary64) x) #s(literal -1/2 binary64)) (/.f64 #s(literal -1 binary64) x))
#s(approx (/ (exp x) (- (exp x) 1)) (-.f64 (-.f64 (*.f64 #s(literal 1/12 binary64) x) #s(literal -1/2 binary64)) (/.f64 #s(literal -1 binary64) x)))
(*.f64 x x)
#s(literal -1/720 binary64)
(.f64 (.f64 x x) #s(literal -1/720 binary64))
#s(literal -1/12 binary64)
(-.f64 (.f64 (.f64 x x) #s(literal -1/720 binary64)) #s(literal -1/12 binary64))
(.f64 (-.f64 (.f64 (*.f64 x x) #s(literal -1/720 binary64)) #s(literal -1/12 binary64)) x)
(-.f64 (.f64 (-.f64 (.f64 (*.f64 x x) #s(literal -1/720 binary64)) #s(literal -1/12 binary64)) x) #s(literal -1/2 binary64))
(-.f64 (-.f64 (.f64 (-.f64 (.f64 (*.f64 x x) #s(literal -1/720 binary64)) #s(literal -1/12 binary64)) x) #s(literal -1/2 binary64)) (/.f64 #s(literal -1 binary64) x))
#s(approx (/ (exp x) (- (exp x) 1)) (-.f64 (-.f64 (.f64 (-.f64 (.f64 (*.f64 x x) #s(literal -1/720 binary64)) #s(literal -1/12 binary64)) x) #s(literal -1/2 binary64)) (/.f64 #s(literal -1 binary64) x)))

Outputs
#s(approx x 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 (* 1/2 x) (*.f64 #s(literal 1/2 binary64) x))
#s(approx (+ 1 (* 1/2 x)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x)))
#s(approx (* x (+ 1 (* 1/2 x))) (.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 #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 (/ -1 x) (/.f64 #s(literal -1 binary64) x))
#s(approx (* x 2) (*.f64 #s(literal 2 binary64) x))
#s(approx (* 1/12 x) (*.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 (* x x) (pow.f64 x #s(literal 2 binary64)))
#s(approx (* (* x x) -1/720) (*.f64 #s(literal -1/720 binary64) (pow.f64 x #s(literal 2 binary64))))
#s(approx (- (* (* x x) -1/720) -1/12) #s(literal 1/12 binary64))
#s(approx (- (* (* x x) -1/720) -1/12) (+.f64 #s(literal 1/12 binary64) (*.f64 #s(literal -1/720 binary64) (pow.f64 x #s(literal 2 binary64)))))
#s(approx (* (- (* (* x x) -1/720) -1/12) x) (.f64 x (+.f64 #s(literal 1/12 binary64) (.f64 #s(literal -1/720 binary64) (pow.f64 x #s(literal 2 binary64))))))
#s(approx (- (* (- (* (* x x) -1/720) -1/12) x) -1/2) (+.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)))))))
#s(approx (exp x) (exp.f64 x))
#s(approx (+ 1 (* 1/2 x)) (*.f64 x (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))
#s(approx (* x (+ 1 (* 1/2 x))) (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64))))
#s(approx (* x (+ 1 (* 1/2 x))) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))
#s(approx (- (exp x) 1) (-.f64 (exp.f64 x) #s(literal 1 binary64)))
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64))))
#s(approx (- 1/2 (/ -1 x)) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))
#s(approx (- (* 1/12 x) -1/2) (.f64 x (+.f64 #s(literal 1/12 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))))
#s(approx (- (- (* 1/12 x) -1/2) (/ -1 x)) (.f64 x (+.f64 #s(literal 1/12 binary64) (+.f64 (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))))
#s(approx (- (* (* x x) -1/720) -1/12) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) #s(literal 1/720 binary64))))
#s(approx (* (- (* (* x x) -1/720) -1/12) x) (*.f64 #s(literal -1/720 binary64) (pow.f64 x #s(literal 3 binary64))))
#s(approx (* (- (* (* x x) -1/720) -1/12) x) (.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) #s(literal 1/720 binary64))))
#s(approx (- (* (- (* (* x x) -1/720) -1/12) x) -1/2) (.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 3 binary64))) (.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal 1/720 binary64))))
#s(approx (- (- (* (- (* (* x x) -1/720) -1/12) x) -1/2) (/ -1 x)) (.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 3 binary64))) (+.f64 (.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64))))) #s(literal 1/720 binary64))))
#s(approx (- (- (* 1/12 x) -1/2) (/ -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)))))
#s(approx (* (- (* (* x x) -1/720) -1/12) x) (.f64 #s(literal -1 binary64) (.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 #s(literal 1/720 binary64) (*.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))))
#s(approx (- (* (- (* (* x x) -1/720) -1/12) x) -1/2) (.f64 #s(literal -1 binary64) (.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 #s(literal 1/720 binary64) (.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))) (pow.f64 x #s(literal 2 binary64))))))))
#s(approx (- (- (* (- (* (* x x) -1/720) -1/12) x) -1/2) (/ -1 x)) (.f64 #s(literal -1 binary64) (.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (+.f64 #s(literal 1/720 binary64) (.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) (pow.f64 x #s(literal 3 binary64))))) (.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))))

Calls

3 calls:

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

rewrite183.0ms (8.7%)

Memory

-3.8MiB live, 255.3MiB allocated; 116ms collecting garbage

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	35	206
0	52	206
1	264	202
2	952	202
0	4222	202

Stop Event

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

Counts

32 → 510

Calls

Call 1

Inputs
x
#s(literal 1 binary64)
#s(approx (exp x) #s(literal 1 binary64))
#s(literal 1/2 binary64)
(*.f64 #s(literal 1/2 binary64) x)
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x))
(.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 #s(literal 1/2 binary64) x))))
(/.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(approx (- (exp x) 1) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) x)))))
#s(literal -1 binary64)
(/.f64 #s(literal -1 binary64) x)
(-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) x))
#s(approx (/ (exp x) (- (exp x) 1)) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) x)))
#s(literal 2 binary64)
(*.f64 x #s(literal 2 binary64))
(/.f64 #s(literal 2 binary64) (*.f64 x #s(literal 2 binary64)))
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 #s(literal 2 binary64) (*.f64 x #s(literal 2 binary64))))
#s(literal 1/12 binary64)
(*.f64 #s(literal 1/12 binary64) x)
#s(literal -1/2 binary64)
(-.f64 (*.f64 #s(literal 1/12 binary64) x) #s(literal -1/2 binary64))
(-.f64 (-.f64 (*.f64 #s(literal 1/12 binary64) x) #s(literal -1/2 binary64)) (/.f64 #s(literal -1 binary64) x))
#s(approx (/ (exp x) (- (exp x) 1)) (-.f64 (-.f64 (*.f64 #s(literal 1/12 binary64) x) #s(literal -1/2 binary64)) (/.f64 #s(literal -1 binary64) x)))
(*.f64 x x)
#s(literal -1/720 binary64)
(.f64 (.f64 x x) #s(literal -1/720 binary64))
#s(literal -1/12 binary64)
(-.f64 (.f64 (.f64 x x) #s(literal -1/720 binary64)) #s(literal -1/12 binary64))
(.f64 (-.f64 (.f64 (*.f64 x x) #s(literal -1/720 binary64)) #s(literal -1/12 binary64)) x)
(-.f64 (.f64 (-.f64 (.f64 (*.f64 x x) #s(literal -1/720 binary64)) #s(literal -1/12 binary64)) x) #s(literal -1/2 binary64))
(-.f64 (-.f64 (.f64 (-.f64 (.f64 (*.f64 x x) #s(literal -1/720 binary64)) #s(literal -1/12 binary64)) x) #s(literal -1/2 binary64)) (/.f64 #s(literal -1 binary64) x))
#s(approx (/ (exp x) (- (exp x) 1)) (-.f64 (-.f64 (.f64 (-.f64 (.f64 (*.f64 x x) #s(literal -1/720 binary64)) #s(literal -1/12 binary64)) x) #s(literal -1/2 binary64)) (/.f64 #s(literal -1 binary64) x)))

Outputs
x
#s(literal 1 binary64)
(*.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(literal 1 binary64))
#s(approx (exp x) #s(literal 1 binary64))
(/.f64 (*.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(literal 2 binary64)) #s(literal 2 binary64))
(neg.f64 (*.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(literal -1 binary64)))
(neg.f64 (neg.f64 #s(approx (exp x) #s(literal 1 binary64))))
(+.f64 (.f64 #s(literal 1 binary64) #s(approx (exp x) #s(literal 1 binary64))) (.f64 #s(literal 0 binary64) #s(approx (exp x) #s(literal 1 binary64))))
(+.f64 #s(approx (exp x) #s(literal 1 binary64)) (*.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(literal 0 binary64)))
#s(literal 1/2 binary64)
(*.f64 (neg.f64 x) #s(literal -1/2 binary64))
(*.f64 #s(literal -1/2 binary64) (neg.f64 x))
(.f64 (.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64))
(*.f64 #s(literal 1/2 binary64) x)
(.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) x))
(*.f64 x #s(literal 1/2 binary64))
(/.f64 x #s(literal 2 binary64))
(neg.f64 (*.f64 #s(literal -1/2 binary64) x))
(.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) x)) (.f64 #s(literal 1/2 binary64) x))
(.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal -1/2 binary64) x) #s(literal 1 binary64))) #s(literal 1 binary64))
(.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (.f64 #s(literal 1/2 binary64) x))) (*.f64 #s(literal 1/2 binary64) x))
(.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64))) #s(literal 1 binary64))
(/.f64 (+.f64 (.f64 (.f64 #s(literal 1/2 binary64) x) #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 2 binary64))
(/.f64 (-.f64 (.f64 (.f64 #s(literal 1/2 binary64) x) (.f64 #s(literal 1/2 binary64) x)) (.f64 #s(literal 1 binary64) #s(literal 1 binary64))) (-.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64)))
(/.f64 (-.f64 (.f64 #s(literal 1 binary64) #s(literal 1 binary64)) (.f64 (.f64 #s(literal -1/2 binary64) x) (.f64 #s(literal -1/2 binary64) x))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) x)))
(/.f64 (-.f64 (.f64 (.f64 #s(literal 1/2 binary64) x) (.f64 #s(literal 1/2 binary64) x)) (.f64 #s(literal -1 binary64) #s(literal -1 binary64))) (+.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal -1 binary64)))
(/.f64 (+.f64 (pow.f64 (.f64 #s(literal 1/2 binary64) x) #s(literal 3 binary64)) (pow.f64 #s(literal 1 binary64) #s(literal 3 binary64))) (+.f64 (.f64 (.f64 #s(literal 1/2 binary64) x) (.f64 #s(literal 1/2 binary64) x)) (-.f64 (.f64 #s(literal 1 binary64) #s(literal 1 binary64)) (.f64 #s(literal 1/2 binary64) x))))
(/.f64 (-.f64 (pow.f64 #s(literal 1 binary64) #s(literal 3 binary64)) (pow.f64 (.f64 #s(literal -1/2 binary64) x) #s(literal 3 binary64))) (+.f64 (.f64 #s(literal 1 binary64) #s(literal 1 binary64)) (+.f64 (.f64 (.f64 #s(literal -1/2 binary64) x) (.f64 #s(literal -1/2 binary64) x)) (.f64 #s(literal -1/2 binary64) x))))
(/.f64 (-.f64 (pow.f64 (.f64 #s(literal 1/2 binary64) x) #s(literal 3 binary64)) (pow.f64 #s(literal -1 binary64) #s(literal 3 binary64))) (+.f64 (.f64 (.f64 #s(literal 1/2 binary64) x) (.f64 #s(literal 1/2 binary64) x)) (+.f64 (.f64 #s(literal -1 binary64) #s(literal -1 binary64)) (.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal -1 binary64)))))
(/.f64 (-.f64 (.f64 #s(literal 1 binary64) #s(literal 1 binary64)) (.f64 (.f64 #s(literal 1/2 binary64) x) (.f64 #s(literal 1/2 binary64) x))) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x)))
(/.f64 (+.f64 (pow.f64 #s(literal 1 binary64) #s(literal 3 binary64)) (pow.f64 (.f64 #s(literal 1/2 binary64) x) #s(literal 3 binary64))) (+.f64 (.f64 #s(literal 1 binary64) #s(literal 1 binary64)) (-.f64 (.f64 (.f64 #s(literal 1/2 binary64) x) (.f64 #s(literal 1/2 binary64) x)) (.f64 #s(literal 1/2 binary64) x))))
(neg.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) x) #s(literal 1 binary64)))
(-.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal -1 binary64))
(-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) x))
(+.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x))
(.f64 (.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal -1 binary64)) #s(literal 1 binary64)) x)
(.f64 (+.f64 #s(literal 1 binary64) (/.f64 x (.f64 (.f64 x x) #s(literal 1/2 binary64)))) (.f64 (*.f64 x x) #s(literal 1/2 binary64)))
(.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (*.f64 #s(literal -1/2 binary64) x) x) x)) x)
(.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (*.f64 x x) #s(literal 1/2 binary64)) x)) x)
(.f64 (-.f64 (.f64 #s(literal 1/2 binary64) x) #s(literal -1 binary64)) x)
(.f64 (.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal -1 binary64)) x) #s(literal 1 binary64))
(.f64 #s(literal 1 binary64) (.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal -1 binary64)) x))
(.f64 x (.f64 #s(literal 1 binary64) (-.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal -1 binary64))))
(.f64 x (-.f64 (.f64 #s(literal 1/2 binary64) x) #s(literal -1 binary64)))
(/.f64 (-.f64 (.f64 (.f64 (.f64 x x) #s(literal 1/2 binary64)) (.f64 (.f64 x x) #s(literal 1/2 binary64))) (.f64 x x)) (-.f64 (.f64 (.f64 x x) #s(literal 1/2 binary64)) x))
(/.f64 (-.f64 (.f64 x x) (.f64 (.f64 (.f64 #s(literal -1/2 binary64) x) x) (.f64 (.f64 #s(literal -1/2 binary64) x) x))) (+.f64 x (.f64 (.f64 #s(literal -1/2 binary64) x) x)))
(/.f64 (+.f64 (pow.f64 (.f64 (.f64 x x) #s(literal 1/2 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (+.f64 (.f64 (.f64 (.f64 x x) #s(literal 1/2 binary64)) (.f64 (.f64 x x) #s(literal 1/2 binary64))) (-.f64 (.f64 x x) (.f64 (.f64 (*.f64 x x) #s(literal 1/2 binary64)) x))))
(/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (.f64 (.f64 #s(literal -1/2 binary64) x) x) #s(literal 3 binary64))) (+.f64 (.f64 x x) (+.f64 (.f64 (.f64 (.f64 #s(literal -1/2 binary64) x) x) (.f64 (.f64 #s(literal -1/2 binary64) x) x)) (.f64 x (.f64 (*.f64 #s(literal -1/2 binary64) x) x)))))
(/.f64 (-.f64 (.f64 x x) (.f64 (.f64 (.f64 x x) #s(literal 1/2 binary64)) (.f64 (.f64 x x) #s(literal 1/2 binary64)))) (-.f64 x (.f64 (.f64 x x) #s(literal 1/2 binary64))))
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (.f64 (.f64 x x) #s(literal 1/2 binary64)) #s(literal 3 binary64))) (+.f64 (.f64 x x) (-.f64 (.f64 (.f64 (.f64 x x) #s(literal 1/2 binary64)) (.f64 (.f64 x x) #s(literal 1/2 binary64))) (.f64 x (.f64 (*.f64 x x) #s(literal 1/2 binary64))))))
(neg.f64 (.f64 (-.f64 (.f64 #s(literal -1/2 binary64) x) #s(literal 1 binary64)) x))
(neg.f64 (.f64 (neg.f64 x) (-.f64 (.f64 #s(literal 1/2 binary64) x) #s(literal -1 binary64))))
(neg.f64 (.f64 (-.f64 (.f64 #s(literal 1/2 binary64) x) #s(literal -1 binary64)) (neg.f64 x)))
(neg.f64 (.f64 x (-.f64 (.f64 #s(literal -1/2 binary64) x) #s(literal 1 binary64))))
(neg.f64 (-.f64 (.f64 (.f64 #s(literal -1/2 binary64) x) x) x))
(-.f64 (.f64 (.f64 x x) #s(literal 1/2 binary64)) (neg.f64 x))
(-.f64 x (.f64 (.f64 #s(literal -1/2 binary64) x) x))
(+.f64 (.f64 (.f64 x x) #s(literal 1/2 binary64)) x)
(+.f64 x (.f64 (.f64 x x) #s(literal 1/2 binary64)))
#s(approx (- (exp x) 1) (.f64 (-.f64 (.f64 #s(literal 1/2 binary64) x) #s(literal -1 binary64)) x))
(neg.f64 (neg.f64 #s(approx (- (exp x) 1) (.f64 (-.f64 (.f64 #s(literal 1/2 binary64) x) #s(literal -1 binary64)) x))))
(.f64 (/.f64 #s(literal 1 binary64) #s(approx (- (exp x) 1) (.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal -1 binary64)) x))) #s(approx (exp x) #s(literal 1 binary64)))
(.f64 (neg.f64 #s(approx (exp x) #s(literal 1 binary64))) (/.f64 #s(literal -1 binary64) #s(approx (- (exp x) 1) (.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal -1 binary64)) x))))
(.f64 #s(approx (exp x) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) #s(approx (- (exp x) 1) (.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal -1 binary64)) x))))
(.f64 #s(literal 1 binary64) (/.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(approx (- (exp x) 1) (.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal -1 binary64)) x))))
(/.f64 (.f64 (neg.f64 #s(approx (exp x) #s(literal 1 binary64))) #s(literal 1 binary64)) (neg.f64 #s(approx (- (exp x) 1) (.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal -1 binary64)) x))))
(/.f64 (.f64 #s(literal -1 binary64) #s(approx (exp x) #s(literal 1 binary64))) (neg.f64 #s(approx (- (exp x) 1) (.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal -1 binary64)) x))))
(/.f64 (.f64 #s(literal 1 binary64) #s(approx (exp x) #s(literal 1 binary64))) #s(approx (- (exp x) 1) (.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal -1 binary64)) x)))
(/.f64 (.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(literal -1 binary64)) (neg.f64 #s(approx (- (exp x) 1) (.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal -1 binary64)) x))))
(/.f64 (neg.f64 #s(approx (exp x) #s(literal 1 binary64))) (neg.f64 #s(approx (- (exp x) 1) (.f64 (-.f64 (.f64 #s(literal 1/2 binary64) x) #s(literal -1 binary64)) x))))
(/.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(approx (- (exp x) 1) (.f64 (-.f64 (.f64 #s(literal 1/2 binary64) x) #s(literal -1 binary64)) x)))
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 #s(approx (- (exp x) 1) (.f64 (-.f64 (.f64 #s(literal 1/2 binary64) x) #s(literal -1 binary64)) x))) (neg.f64 #s(approx (exp x) #s(literal 1 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(approx (- (exp x) 1) (.f64 (-.f64 (.f64 #s(literal 1/2 binary64) x) #s(literal -1 binary64)) x)) #s(approx (exp x) #s(literal 1 binary64))))
(neg.f64 (.f64 (/.f64 #s(literal -1 binary64) #s(approx (- (exp x) 1) (.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal -1 binary64)) x))) #s(approx (exp x) #s(literal 1 binary64))))
(neg.f64 (/.f64 (neg.f64 #s(approx (exp x) #s(literal 1 binary64))) #s(approx (- (exp x) 1) (.f64 (-.f64 (.f64 #s(literal 1/2 binary64) x) #s(literal -1 binary64)) x))))
#s(literal -1 binary64)
(.f64 (.f64 #s(literal -1 binary64) (/.f64 #s(literal 2 binary64) x)) #s(literal 1/2 binary64))
(*.f64 (pow.f64 (neg.f64 x) (/.f64 #s(literal -1 binary64) #s(literal 2 binary64))) (pow.f64 (neg.f64 x) (/.f64 #s(literal -1 binary64) #s(literal 2 binary64))))
(*.f64 (/.f64 #s(literal -1/2 binary64) x) #s(literal 2 binary64))
(*.f64 (/.f64 #s(literal -2 binary64) x) #s(literal 1/2 binary64))
(*.f64 (/.f64 #s(literal 2 binary64) x) #s(literal -1/2 binary64))
(*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))
(*.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -2 binary64))
(.f64 #s(literal -2 binary64) (.f64 (/.f64 #s(literal -1/2 binary64) x) #s(literal -1 binary64)))
(*.f64 #s(literal -2 binary64) (/.f64 #s(literal 1/2 binary64) x))
(.f64 #s(literal 2 binary64) (.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1 binary64)))
(*.f64 #s(literal 2 binary64) (/.f64 #s(literal -1/2 binary64) x))
(*.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x))
(pow.f64 (neg.f64 x) #s(literal -1 binary64))
(/.f64 (*.f64 #s(literal -1 binary64) (/.f64 #s(literal 2 binary64) x)) #s(literal 2 binary64))
(/.f64 (*.f64 (/.f64 #s(literal -2 binary64) x) #s(literal -1 binary64)) #s(literal -2 binary64))
(/.f64 (*.f64 (/.f64 #s(literal 2 binary64) x) #s(literal -1 binary64)) #s(literal 2 binary64))
(/.f64 (/.f64 #s(literal -2 binary64) x) #s(literal 2 binary64))
(/.f64 (/.f64 #s(literal 2 binary64) x) #s(literal -2 binary64))
(/.f64 #s(literal -2 binary64) (+.f64 x x))
(/.f64 #s(literal 2 binary64) (*.f64 #s(literal -2 binary64) x))
(/.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1 binary64))
(/.f64 #s(literal -1 binary64) x)
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal -2 binary64) x) #s(literal 2 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 x x) #s(literal -2 binary64)))
(/.f64 #s(literal 1 binary64) (pow.f64 (neg.f64 x) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 x) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 x #s(literal -1 binary64)))
(/.f64 #s(literal 1 binary64) (neg.f64 x))
(neg.f64 (/.f64 #s(literal 1 binary64) x))
(-.f64 (/.f64 #s(literal -1/2 binary64) x) (/.f64 #s(literal 1/2 binary64) x))
(exp.f64 (*.f64 (log.f64 (neg.f64 x)) #s(literal -1 binary64)))
(+.f64 (.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1 binary64)) (.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1 binary64)))
(+.f64 (/.f64 #s(literal -1/2 binary64) x) (/.f64 #s(literal -1/2 binary64) x))
(+.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal 0 binary64) (neg.f64 x)))
(.f64 (.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal -1 binary64)) (/.f64 #s(literal 2 binary64) x)) #s(literal 1/2 binary64))
(.f64 (.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal -1 binary64)) #s(literal -2 binary64)) (/.f64 #s(literal -1/2 binary64) x))
(.f64 (.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal -1 binary64)) #s(literal 2 binary64)) (/.f64 #s(literal 1/2 binary64) x))
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(.f64 (.f64 x x) #s(literal -1/720 binary64))
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(.f64 x (.f64 #s(literal -1/720 binary64) x))
(neg.f64 (.f64 #s(literal 1/720 binary64) (.f64 x x)))
#s(literal -1/12 binary64)
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(/.f64 (-.f64 (.f64 (.f64 (-.f64 (.f64 #s(literal -1/720 binary64) (.f64 x x)) #s(literal -1/12 binary64)) x) x) (-.f64 (*.f64 #s(literal -1/2 binary64) x) #s(literal 1 binary64))) x)
(/.f64 (-.f64 (.f64 (.f64 (-.f64 (.f64 #s(literal -1/720 binary64) (.f64 x x)) #s(literal -1/12 binary64)) x) (neg.f64 x)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal -1 binary64))) (neg.f64 x))
(/.f64 (-.f64 (.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x)) (.f64 (-.f64 (.f64 (-.f64 (.f64 #s(literal -1/720 binary64) (.f64 x x)) #s(literal -1/12 binary64)) x) #s(literal -1/2 binary64)) (-.f64 (.f64 (-.f64 (.f64 #s(literal -1/720 binary64) (.f64 x x)) #s(literal -1/12 binary64)) x) #s(literal -1/2 binary64)))) (-.f64 (/.f64 #s(literal 1 binary64) x) (-.f64 (.f64 (-.f64 (.f64 #s(literal -1/720 binary64) (*.f64 x x)) #s(literal -1/12 binary64)) x) #s(literal -1/2 binary64))))
(/.f64 (-.f64 (.f64 (.f64 (-.f64 (.f64 #s(literal -1/720 binary64) (.f64 x x)) #s(literal -1/12 binary64)) x) (.f64 (-.f64 (.f64 #s(literal -1/720 binary64) (.f64 x x)) #s(literal -1/12 binary64)) x)) (.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) x)) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) x)))) (-.f64 (.f64 (-.f64 (.f64 #s(literal -1/720 binary64) (*.f64 x x)) #s(literal -1/12 binary64)) x) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) x))))
(/.f64 (-.f64 (.f64 (/.f64 (.f64 (-.f64 (.f64 (-.f64 (.f64 #s(literal -1/720 binary64) (.f64 x x)) #s(literal -1/12 binary64)) x) #s(literal -1/2 binary64)) x) x) (/.f64 (.f64 (-.f64 (.f64 (-.f64 (.f64 #s(literal -1/720 binary64) (.f64 x x)) #s(literal -1/12 binary64)) x) #s(literal -1/2 binary64)) x) x)) (.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal -1 binary64) x))) (+.f64 (/.f64 (.f64 (-.f64 (.f64 (-.f64 (.f64 #s(literal -1/720 binary64) (.f64 x x)) #s(literal -1/12 binary64)) x) #s(literal -1/2 binary64)) 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 (.f64 (-.f64 (.f64 #s(literal -1/720 binary64) (.f64 x x)) #s(literal -1/12 binary64)) x) #s(literal -1/2 binary64)) #s(literal 3 binary64))) (+.f64 (.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x)) (-.f64 (.f64 (-.f64 (.f64 (-.f64 (.f64 #s(literal -1/720 binary64) (.f64 x x)) #s(literal -1/12 binary64)) x) #s(literal -1/2 binary64)) (-.f64 (.f64 (-.f64 (.f64 #s(literal -1/720 binary64) (.f64 x x)) #s(literal -1/12 binary64)) x) #s(literal -1/2 binary64))) (.f64 (/.f64 #s(literal 1 binary64) x) (-.f64 (.f64 (-.f64 (.f64 #s(literal -1/720 binary64) (*.f64 x x)) #s(literal -1/12 binary64)) x) #s(literal -1/2 binary64))))))
(/.f64 (+.f64 (pow.f64 (.f64 (-.f64 (.f64 #s(literal -1/720 binary64) (.f64 x x)) #s(literal -1/12 binary64)) x) #s(literal 3 binary64)) (pow.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) x)) #s(literal 3 binary64))) (+.f64 (.f64 (.f64 (-.f64 (.f64 #s(literal -1/720 binary64) (.f64 x x)) #s(literal -1/12 binary64)) x) (.f64 (-.f64 (.f64 #s(literal -1/720 binary64) (.f64 x x)) #s(literal -1/12 binary64)) x)) (-.f64 (.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) x)) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) x))) (.f64 (.f64 (-.f64 (.f64 #s(literal -1/720 binary64) (*.f64 x x)) #s(literal -1/12 binary64)) x) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) x))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (.f64 (-.f64 (.f64 (-.f64 (.f64 #s(literal -1/720 binary64) (.f64 x x)) #s(literal -1/12 binary64)) x) #s(literal -1/2 binary64)) x) x) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 3 binary64))) (+.f64 (.f64 (/.f64 (.f64 (-.f64 (.f64 (-.f64 (.f64 #s(literal -1/720 binary64) (.f64 x x)) #s(literal -1/12 binary64)) x) #s(literal -1/2 binary64)) x) x) (/.f64 (.f64 (-.f64 (.f64 (-.f64 (.f64 #s(literal -1/720 binary64) (.f64 x x)) #s(literal -1/12 binary64)) x) #s(literal -1/2 binary64)) x) x)) (+.f64 (.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal -1 binary64) x)) (.f64 (/.f64 (.f64 (-.f64 (.f64 (-.f64 (.f64 #s(literal -1/720 binary64) (*.f64 x x)) #s(literal -1/12 binary64)) x) #s(literal -1/2 binary64)) x) x) (/.f64 #s(literal -1 binary64) x)))))
(/.f64 (-.f64 (.f64 (.f64 (-.f64 (.f64 (-.f64 (.f64 #s(literal -1/720 binary64) (.f64 x x)) #s(literal -1/12 binary64)) x) #s(literal -1/2 binary64)) x) x) (neg.f64 x)) (.f64 x x))
(/.f64 (-.f64 (.f64 (.f64 (-.f64 (.f64 (-.f64 (.f64 #s(literal -1/720 binary64) (.f64 x x)) #s(literal -1/12 binary64)) x) #s(literal -1/2 binary64)) x) (neg.f64 x)) x) (.f64 (neg.f64 x) x))
(/.f64 (-.f64 (.f64 (-.f64 #s(literal -1/2 binary64) (.f64 (-.f64 (.f64 #s(literal -1/720 binary64) (.f64 x x)) #s(literal -1/12 binary64)) x)) x) #s(literal 1 binary64)) (neg.f64 x))
(/.f64 (-.f64 (.f64 (-.f64 (.f64 (-.f64 (.f64 #s(literal -1/720 binary64) (.f64 x x)) #s(literal -1/12 binary64)) x) #s(literal -1/2 binary64)) (-.f64 (.f64 (-.f64 (.f64 #s(literal -1/720 binary64) (.f64 x x)) #s(literal -1/12 binary64)) x) #s(literal -1/2 binary64))) (.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x))) (-.f64 (-.f64 (.f64 (-.f64 (.f64 #s(literal -1/720 binary64) (*.f64 x x)) #s(literal -1/12 binary64)) x) #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) x)))
(/.f64 (-.f64 (.f64 (.f64 (-.f64 (.f64 #s(literal -1/720 binary64) (.f64 x x)) #s(literal -1/12 binary64)) x) (.f64 (-.f64 (.f64 #s(literal -1/720 binary64) (.f64 x x)) #s(literal -1/12 binary64)) x)) (.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) x)))) (+.f64 (.f64 (-.f64 (.f64 #s(literal -1/720 binary64) (*.f64 x x)) #s(literal -1/12 binary64)) x) (-.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) x))))
(/.f64 (+.f64 (pow.f64 (-.f64 (.f64 (-.f64 (.f64 #s(literal -1/720 binary64) (.f64 x x)) #s(literal -1/12 binary64)) x) #s(literal -1/2 binary64)) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 3 binary64))) (+.f64 (.f64 (-.f64 (.f64 (-.f64 (.f64 #s(literal -1/720 binary64) (.f64 x x)) #s(literal -1/12 binary64)) x) #s(literal -1/2 binary64)) (-.f64 (.f64 (-.f64 (.f64 #s(literal -1/720 binary64) (.f64 x x)) #s(literal -1/12 binary64)) x) #s(literal -1/2 binary64))) (-.f64 (.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x)) (.f64 (-.f64 (.f64 (-.f64 (.f64 #s(literal -1/720 binary64) (*.f64 x x)) #s(literal -1/12 binary64)) x) #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) x)))))
(/.f64 (-.f64 (pow.f64 (.f64 (-.f64 (.f64 #s(literal -1/720 binary64) (.f64 x x)) #s(literal -1/12 binary64)) x) #s(literal 3 binary64)) (pow.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))) (+.f64 (.f64 (.f64 (-.f64 (.f64 #s(literal -1/720 binary64) (.f64 x x)) #s(literal -1/12 binary64)) x) (.f64 (-.f64 (.f64 #s(literal -1/720 binary64) (.f64 x x)) #s(literal -1/12 binary64)) x)) (+.f64 (.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) x))) (.f64 (.f64 (-.f64 (.f64 #s(literal -1/720 binary64) (*.f64 x x)) #s(literal -1/12 binary64)) x) (-.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) x))))))
(/.f64 (-.f64 (.f64 (-.f64 (.f64 (-.f64 (.f64 #s(literal -1/720 binary64) (.f64 x x)) #s(literal -1/12 binary64)) x) #s(literal -1/2 binary64)) x) #s(literal -1 binary64)) x)
(/.f64 (-.f64 (.f64 (-.f64 (.f64 (-.f64 (.f64 #s(literal -1/720 binary64) (.f64 x x)) #s(literal -1/12 binary64)) x) #s(literal -1/2 binary64)) (-.f64 (.f64 (-.f64 (.f64 #s(literal -1/720 binary64) (.f64 x x)) #s(literal -1/12 binary64)) x) #s(literal -1/2 binary64))) (.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal -1 binary64) x))) (+.f64 (-.f64 (.f64 (-.f64 (.f64 #s(literal -1/720 binary64) (*.f64 x x)) #s(literal -1/12 binary64)) x) #s(literal -1/2 binary64)) (/.f64 #s(literal -1 binary64) x)))
(/.f64 (-.f64 (pow.f64 (-.f64 (.f64 (-.f64 (.f64 #s(literal -1/720 binary64) (.f64 x x)) #s(literal -1/12 binary64)) x) #s(literal -1/2 binary64)) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 3 binary64))) (+.f64 (.f64 (-.f64 (.f64 (-.f64 (.f64 #s(literal -1/720 binary64) (.f64 x x)) #s(literal -1/12 binary64)) x) #s(literal -1/2 binary64)) (-.f64 (.f64 (-.f64 (.f64 #s(literal -1/720 binary64) (.f64 x x)) #s(literal -1/12 binary64)) x) #s(literal -1/2 binary64))) (+.f64 (.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal -1 binary64) x)) (.f64 (-.f64 (.f64 (-.f64 (.f64 #s(literal -1/720 binary64) (*.f64 x x)) #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) (-.f64 #s(literal -1/2 binary64) (.f64 (-.f64 (.f64 #s(literal -1/720 binary64) (*.f64 x x)) #s(literal -1/12 binary64)) x))) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 x) (-.f64 (.f64 (-.f64 #s(literal -1/2 binary64) (.f64 (-.f64 (.f64 #s(literal -1/720 binary64) (.f64 x x)) #s(literal -1/12 binary64)) x)) x) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 x (-.f64 (.f64 (-.f64 (.f64 (-.f64 (.f64 #s(literal -1/720 binary64) (.f64 x x)) #s(literal -1/12 binary64)) x) #s(literal -1/2 binary64)) x) #s(literal -1 binary64))))
(neg.f64 (-.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) x)) (.f64 (-.f64 (.f64 #s(literal -1/720 binary64) (*.f64 x x)) #s(literal -1/12 binary64)) x)))
(-.f64 (/.f64 (.f64 (-.f64 (.f64 (-.f64 (.f64 #s(literal -1/720 binary64) (.f64 x x)) #s(literal -1/12 binary64)) x) #s(literal -1/2 binary64)) x) x) (/.f64 #s(literal -1 binary64) x))
(-.f64 (/.f64 #s(literal 1 binary64) x) (-.f64 #s(literal -1/2 binary64) (.f64 (-.f64 (.f64 #s(literal -1/720 binary64) (*.f64 x x)) #s(literal -1/12 binary64)) x)))
(-.f64 (-.f64 (.f64 (-.f64 (.f64 #s(literal -1/720 binary64) (*.f64 x x)) #s(literal -1/12 binary64)) x) #s(literal -1/2 binary64)) (/.f64 #s(literal -1 binary64) x))
(-.f64 (.f64 (-.f64 (.f64 #s(literal -1/720 binary64) (*.f64 x x)) #s(literal -1/12 binary64)) x) (-.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) x)))
(-.f64 #s(literal 1/2 binary64) (-.f64 (/.f64 #s(literal -1 binary64) x) (.f64 (-.f64 (.f64 #s(literal -1/720 binary64) (*.f64 x x)) #s(literal -1/12 binary64)) x)))
(+.f64 (.f64 (-.f64 (.f64 (-.f64 (.f64 (-.f64 (.f64 #s(literal -1/720 binary64) (.f64 x x)) #s(literal -1/12 binary64)) x) #s(literal -1/2 binary64)) x) #s(literal -1 binary64)) (/.f64 #s(literal 1/2 binary64) x)) (.f64 (-.f64 (.f64 (-.f64 (.f64 (-.f64 (.f64 #s(literal -1/720 binary64) (.f64 x x)) #s(literal -1/12 binary64)) x) #s(literal -1/2 binary64)) x) #s(literal -1 binary64)) (/.f64 #s(literal 1/2 binary64) x)))
(+.f64 (.f64 (/.f64 #s(literal 1/2 binary64) x) (-.f64 (.f64 (-.f64 (.f64 (-.f64 (.f64 #s(literal -1/720 binary64) (.f64 x x)) #s(literal -1/12 binary64)) x) #s(literal -1/2 binary64)) x) #s(literal -1 binary64))) (.f64 (/.f64 #s(literal 1/2 binary64) x) (-.f64 (.f64 (-.f64 (.f64 (-.f64 (.f64 #s(literal -1/720 binary64) (.f64 x x)) #s(literal -1/12 binary64)) x) #s(literal -1/2 binary64)) x) #s(literal -1 binary64))))
(+.f64 (neg.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) (.f64 (-.f64 (.f64 #s(literal -1/720 binary64) (*.f64 x x)) #s(literal -1/12 binary64)) x))) #s(literal 1/2 binary64))
(+.f64 (/.f64 (.f64 (-.f64 (.f64 (-.f64 (.f64 #s(literal -1/720 binary64) (.f64 x x)) #s(literal -1/12 binary64)) x) #s(literal -1/2 binary64)) x) x) (/.f64 #s(literal 1 binary64) x))
(+.f64 (/.f64 #s(literal 1 binary64) x) (-.f64 (.f64 (-.f64 (.f64 #s(literal -1/720 binary64) (*.f64 x x)) #s(literal -1/12 binary64)) x) #s(literal -1/2 binary64)))
(+.f64 (-.f64 (.f64 (-.f64 (.f64 #s(literal -1/720 binary64) (*.f64 x x)) #s(literal -1/12 binary64)) x) #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) x))
(+.f64 (.f64 (-.f64 (.f64 #s(literal -1/720 binary64) (*.f64 x x)) #s(literal -1/12 binary64)) x) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) x)))
#s(approx (/ (exp x) (- (exp x) 1)) (-.f64 (/.f64 #s(literal 1 binary64) x) (-.f64 #s(literal -1/2 binary64) (.f64 (-.f64 (.f64 #s(literal -1/720 binary64) (*.f64 x x)) #s(literal -1/12 binary64)) x))))

eval61.0ms (2.9%)

Memory: -8.4MiB live, 129.2MiB allocated; 10ms collecting garbage
Compiler: Compiled 14 796 to 2 439 computations (83.5% saved)

prune17.0ms (0.8%)

Memory

-8.8MiB live, 43.4MiB allocated; 4ms collecting garbage

Pruning

13 alts after pruning (5 fresh and 8 done)

	Pruned	Kept	Total
New	599	4	603
Fresh	0	1	1
Picked	5	0	5
Done	-4	8	4
Total	600	13	613

Accuracy

100.0%

Counts

613 → 13

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	39.1%	(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64)))
✓	99.4%	(/.f64 (exp.f64 x) #s(approx (- (exp x) 1) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) x)))))
▶	82.2%	(/.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(approx (- (exp x) 1) (-.f64 x (.f64 (.f64 #s(literal -1/2 binary64) x) x))))
▶	88.3%	(/.f64 #s(approx (exp x) #s(literal 1 binary64)) #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)))))))))
▶	86.0%	(/.f64 #s(approx (exp x) #s(literal 1 binary64)) #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)))))))
✓	82.2%	(/.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(approx (- (exp x) 1) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) x)))))
▶	35.8%	#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 (-.f64 x (.f64 x (.f64 (-.f64 #s(literal -1/2 binary64) (.f64 #s(literal 1/12 binary64) x)) x))) (.f64 x x)))
✓	65.7%	#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))
▶	65.7%	#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 #s(literal 2 binary64) (+.f64 x x)))
✓	65.4%	#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 #s(literal 1 binary64) x))
✓	65.7%	#s(approx (/ (exp x) (- (exp x) 1)) (-.f64 (-.f64 (.f64 (-.f64 (.f64 (*.f64 x x) #s(literal -1/720 binary64)) #s(literal -1/12 binary64)) x) #s(literal -1/2 binary64)) (/.f64 #s(literal -1 binary64) x)))
✓	65.8%	#s(approx (/ (exp x) (- (exp x) 1)) (-.f64 (-.f64 (*.f64 #s(literal 1/12 binary64) x) #s(literal -1/2 binary64)) (/.f64 #s(literal -1 binary64) x)))
✓	65.8%	#s(approx (/ (exp x) (- (exp x) 1)) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) x)))

Compiler

Compiled 320 to 229 computations (28.4% saved)

sample0.0ms (0.0%)

Memory

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

Calls

Call 1

Inputs
1
1/2
1/6
1/24
2
-1/2
1/12

Outputs
#s(literal 1 binary64)
#s(literal 1/2 binary64)
#s(literal 6004799503160661/36028797018963968 binary64)
#s(literal 6004799503160661/144115188075855872 binary64)
#s(literal 2 binary64)
#s(literal -1/2 binary64)
#s(literal 6004799503160661/72057594037927936 binary64)

Samples

0.0ms

1×

valid

Compiler

Compiled 9 to 9 computations (0.0% saved)

Precisions

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

adjust: 0.0ms (0.0% of total)

series28.0ms (1.3%)

Memory

15.3MiB live, 61.8MiB allocated; 2ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	218	1449

Stop Event

1×	iter-limit

Counts

41 → 77

Calls

Call 1

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

Outputs
#s(approx x 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 (* 1/24 x) (*.f64 #s(literal 1/24 binary64) x))
#s(approx (+ 1/6 (* 1/24 x)) #s(literal 1/6 binary64))
#s(approx (+ 1/6 (* 1/24 x)) (+.f64 #s(literal 1/6 binary64) (*.f64 #s(literal 1/24 binary64) x)))
#s(approx (* x (+ 1/6 (* 1/24 x))) (*.f64 #s(literal 1/6 binary64) x))
#s(approx (* x (+ 1/6 (* 1/24 x))) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 #s(literal 1/24 binary64) x))))
#s(approx (+ 1/2 (* x (+ 1/6 (* 1/24 x)))) #s(literal 1/2 binary64))
#s(approx (+ 1/2 (* x (+ 1/6 (* 1/24 x)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) x)))
#s(approx (+ 1/2 (* x (+ 1/6 (* 1/24 x)))) (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 #s(literal 1/24 binary64) x)))))
#s(approx (* x (+ 1/2 (* x (+ 1/6 (* 1/24 x))))) (*.f64 #s(literal 1/2 binary64) x))
#s(approx (* x (+ 1/2 (* x (+ 1/6 (* 1/24 x))))) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/6 binary64) x))))
#s(approx (* x (+ 1/2 (* x (+ 1/6 (* 1/24 x))))) (.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 (* x (+ 1/2 (* x (+ 1/6 (* 1/24 x)))))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x)))
#s(approx (+ 1 (* x (+ 1/2 (* x (+ 1/6 (* 1/24 x)))))) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/6 binary64) x)))))
#s(approx (+ 1 (* x (+ 1/2 (* x (+ 1/6 (* 1/24 x)))))) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 #s(literal 1/24 binary64) x)))))))
#s(approx (* x (+ 1 (* x (+ 1/2 (* x (+ 1/6 (* 1/24 x))))))) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) x))))
#s(approx (* x (+ 1 (* x (+ 1/2 (* x (+ 1/6 (* 1/24 x))))))) (.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 (+ 1 (* x (+ 1/2 (* x (+ 1/6 (* 1/24 x))))))) (.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 #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 (+ x x) (*.f64 #s(literal 2 binary64) x))
#s(approx (* -1/2 x) (*.f64 #s(literal -1/2 binary64) x))
#s(approx (* (* -1/2 x) x) (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64))))
#s(approx (* 1/12 x) (*.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 (*.f64 #s(literal -1/12 binary64) x) #s(literal 1/2 binary64)))
#s(approx (* (- -1/2 (* 1/12 x)) x) (.f64 x (-.f64 (.f64 #s(literal -1/12 binary64) x) #s(literal 1/2 binary64))))
#s(approx (* x (* (- -1/2 (* 1/12 x)) x)) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 #s(literal -1/12 binary64) x) #s(literal 1/2 binary64))))
#s(approx (- x (* x (* (- -1/2 (* 1/12 x)) x))) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/12 binary64) x))))))
#s(approx (* x x) (pow.f64 x #s(literal 2 binary64)))
#s(approx (exp x) (exp.f64 x))
#s(approx (+ 1/6 (* 1/24 x)) (.f64 x (+.f64 #s(literal 1/24 binary64) (.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) x)))))
#s(approx (* x (+ 1/6 (* 1/24 x))) (*.f64 #s(literal 1/24 binary64) (pow.f64 x #s(literal 2 binary64))))
#s(approx (* x (+ 1/6 (* 1/24 x))) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/24 binary64) (.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) x)))))
#s(approx (+ 1/2 (* x (+ 1/6 (* 1/24 x)))) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/24 binary64) (+.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64))) (.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) x))))))
#s(approx (* x (+ 1/2 (* x (+ 1/6 (* 1/24 x))))) (*.f64 #s(literal 1/24 binary64) (pow.f64 x #s(literal 3 binary64))))
#s(approx (* x (+ 1/2 (* x (+ 1/6 (* 1/24 x))))) (.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 #s(literal 1/24 binary64) (.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) x)))))
#s(approx (* x (+ 1/2 (* x (+ 1/6 (* 1/24 x))))) (.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 #s(literal 1/24 binary64) (+.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64))) (.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) x))))))
#s(approx (+ 1 (* x (+ 1/2 (* x (+ 1/6 (* 1/24 x)))))) (.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 #s(literal 1/24 binary64) (+.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64))) (+.f64 (.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))))))
#s(approx (* x (+ 1 (* x (+ 1/2 (* x (+ 1/6 (* 1/24 x))))))) (*.f64 #s(literal 1/24 binary64) (pow.f64 x #s(literal 4 binary64))))
#s(approx (* x (+ 1 (* x (+ 1/2 (* x (+ 1/6 (* 1/24 x))))))) (.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 #s(literal 1/24 binary64) (.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) x)))))
#s(approx (* x (+ 1 (* x (+ 1/2 (* x (+ 1/6 (* 1/24 x))))))) (.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 #s(literal 1/24 binary64) (+.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64))) (.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) x))))))
#s(approx (* x (+ 1 (* x (+ 1/2 (* x (+ 1/6 (* 1/24 x))))))) (.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 #s(literal 1/24 binary64) (+.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64))) (+.f64 (.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))))))
#s(approx (- (exp x) 1) (-.f64 (exp.f64 x) #s(literal 1 binary64)))
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64))))
#s(approx (- x (* (* -1/2 x) x)) (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64))))
#s(approx (- x (* (* -1/2 x) x)) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))
#s(approx (+ 1/2 (* 1/6 x)) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))))
#s(approx (* x (+ 1/2 (* 1/6 x))) (*.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 2 binary64))))
#s(approx (* x (+ 1/2 (* 1/6 x))) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/6 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))))
#s(approx (+ 1 (* x (+ 1/2 (* 1/6 x)))) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/6 binary64) (+.f64 (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))))
#s(approx (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))) (*.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 3 binary64))))
#s(approx (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))) (.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 #s(literal 1/6 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))))
#s(approx (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))) (.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 #s(literal 1/6 binary64) (+.f64 (.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 (- -1/2 (* 1/12 x)) (*.f64 #s(literal -1/12 binary64) x))
#s(approx (- -1/2 (* 1/12 x)) (.f64 #s(literal -1 binary64) (.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)) x) (*.f64 #s(literal -1/12 binary64) (pow.f64 x #s(literal 2 binary64))))
#s(approx (* (- -1/2 (* 1/12 x)) x) (.f64 #s(literal -1 binary64) (.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 (* x (* (- -1/2 (* 1/12 x)) x)) (*.f64 #s(literal -1/12 binary64) (pow.f64 x #s(literal 3 binary64))))
#s(approx (* x (* (- -1/2 (* 1/12 x)) x)) (.f64 #s(literal -1 binary64) (.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 #s(literal 1/12 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))))
#s(approx (- x (* x (* (- -1/2 (* 1/12 x)) x))) (*.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 3 binary64))))
#s(approx (- x (* x (* (- -1/2 (* 1/12 x)) x))) (.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 #s(literal 1/12 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))))
#s(approx (- x (* x (* (- -1/2 (* 1/12 x)) x))) (.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 #s(literal 1/12 binary64) (+.f64 (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))))
#s(approx (/ (- x (* x (* (- -1/2 (* 1/12 x)) x))) (* x x)) (.f64 x (+.f64 #s(literal 1/12 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))))
#s(approx (/ (- x (* x (* (- -1/2 (* 1/12 x)) x))) (* x x)) (.f64 x (+.f64 #s(literal 1/12 binary64) (+.f64 (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))))
#s(approx (* x (+ 1/2 (* x (+ 1/6 (* 1/24 x))))) (.f64 #s(literal -1 binary64) (.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1/6 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))) x)) #s(literal 1/24 binary64)))))
#s(approx (+ 1 (* x (+ 1/2 (* x (+ 1/6 (* 1/24 x)))))) (.f64 #s(literal -1 binary64) (.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1/6 binary64) (+.f64 (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))) x)) #s(literal 1/24 binary64)))))
#s(approx (* x (+ 1 (* x (+ 1/2 (* x (+ 1/6 (* 1/24 x))))))) (.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 #s(literal 1/24 binary64) (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) x)) #s(literal 1/6 binary64)) x)))))
#s(approx (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))) (.f64 #s(literal -1 binary64) (.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) x)) #s(literal 1/6 binary64)))))
#s(approx (- x (* x (* (- -1/2 (* 1/12 x)) x))) (.f64 #s(literal -1 binary64) (.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) x)) #s(literal 1/12 binary64)))))
#s(approx (/ (- x (* x (* (- -1/2 (* 1/12 x)) x))) (* 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
7.0ms	x	-inf
7.0ms	x	inf
3.0ms	x	0

rewrite173.0ms (8.2%)

Memory

7.3MiB live, 288.5MiB allocated; 16ms collecting garbage

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	44	333
0	71	333
1	363	329
2	1503	323
0	4018	323

Stop Event

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

Counts

41 → 577

Calls

Call 1

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

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

eval82.0ms (3.9%)

Memory: -8.8MiB live, 133.2MiB allocated; 22ms collecting garbage
Compiler: Compiled 21 623 to 3 673 computations (83.0% saved)

prune24.0ms (1.1%)

Memory

5.9MiB live, 52.3MiB allocated; 4ms collecting garbage

Pruning

19 alts after pruning (6 fresh and 13 done)

	Pruned	Kept	Total
New	626	6	632
Fresh	0	0	0
Picked	5	0	5
Done	-5	13	8
Total	626	19	645

Accuracy

100.0%

Counts

645 → 19

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	39.1%	(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64)))
✓	99.4%	(/.f64 (exp.f64 x) #s(approx (- (exp x) 1) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) x)))))
	38.7%	(/.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(approx (- (exp x) 1) (/.f64 (-.f64 (.f64 (.f64 (.f64 (-.f64 (.f64 (-.f64 (.f64 #s(literal 1/24 binary64) x) #s(literal -1/6 binary64)) x) #s(literal -1/2 binary64)) x) x) (.f64 (.f64 (-.f64 (.f64 (-.f64 (.f64 #s(literal 1/24 binary64) x) #s(literal -1/6 binary64)) x) #s(literal -1/2 binary64)) x) x)) (.f64 x x)) (-.f64 (.f64 (.f64 (-.f64 (.f64 (-.f64 (.f64 #s(literal 1/24 binary64) x) #s(literal -1/6 binary64)) x) #s(literal -1/2 binary64)) x) x) x))))
	38.4%	(/.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(approx (- (exp x) 1) (/.f64 (-.f64 (.f64 (.f64 (.f64 (-.f64 (.f64 #s(literal 1/6 binary64) x) #s(literal -1/2 binary64)) x) x) (.f64 (.f64 (-.f64 (.f64 #s(literal 1/6 binary64) x) #s(literal -1/2 binary64)) x) x)) (.f64 x x)) (-.f64 (.f64 (.f64 (-.f64 (*.f64 #s(literal 1/6 binary64) x) #s(literal -1/2 binary64)) x) x) x))))
✓	82.2%	(/.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(approx (- (exp x) 1) (-.f64 x (.f64 (.f64 #s(literal -1/2 binary64) x) x))))
	86.0%	(/.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(approx (- (exp x) 1) (.f64 x (+.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) x)) (.f64 (.f64 x x) #s(literal 1/6 binary64))))))
	88.3%	(/.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(approx (- (exp x) 1) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 (-.f64 (.f64 #s(literal 1/6 binary64) x) #s(literal -1/2 binary64)) (.f64 (*.f64 x x) #s(literal 1/24 binary64))))))))
	88.3%	(/.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(approx (- (exp x) 1) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (/.f64 (-.f64 (.f64 (.f64 #s(literal 1/24 binary64) x) (.f64 #s(literal 1/24 binary64) x)) (.f64 #s(literal 1/6 binary64) #s(literal 1/6 binary64))) (-.f64 (.f64 #s(literal 1/24 binary64) x) #s(literal 1/6 binary64))))))))))
✓	88.3%	(/.f64 #s(approx (exp x) #s(literal 1 binary64)) #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)))))))))
✓	86.0%	(/.f64 #s(approx (exp x) #s(literal 1 binary64)) #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)))))))
✓	82.2%	(/.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(approx (- (exp x) 1) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) x)))))
	26.9%	(/.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(approx (- (exp x) 1) #s(approx (* x (+ 1 (* x (+ 1/2 (* x (+ 1/6 (* 1/24 x))))))) (*.f64 #s(literal 1/24 binary64) (pow.f64 x #s(literal 4 binary64))))))
✓	35.8%	#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 (-.f64 x (.f64 x (.f64 (-.f64 #s(literal -1/2 binary64) (.f64 #s(literal 1/12 binary64) x)) x))) (.f64 x x)))
✓	65.7%	#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))
✓	65.7%	#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 #s(literal 2 binary64) (+.f64 x x)))
✓	65.4%	#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 #s(literal 1 binary64) x))
✓	65.7%	#s(approx (/ (exp x) (- (exp x) 1)) (-.f64 (-.f64 (.f64 (-.f64 (.f64 (*.f64 x x) #s(literal -1/720 binary64)) #s(literal -1/12 binary64)) x) #s(literal -1/2 binary64)) (/.f64 #s(literal -1 binary64) x)))
✓	65.8%	#s(approx (/ (exp x) (- (exp x) 1)) (-.f64 (-.f64 (*.f64 #s(literal 1/12 binary64) x) #s(literal -1/2 binary64)) (/.f64 #s(literal -1 binary64) x)))
✓	65.8%	#s(approx (/ (exp x) (- (exp x) 1)) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) x)))

Compiler

Compiled 441 to 281 computations (36.3% saved)

regimes109.0ms (5.2%)

Memory

1.8MiB live, 286.0MiB allocated; 27ms collecting garbage

Counts

1 → 1

6 → 1

9 → 1

10 → 1

13 → 2

16 → 2

17 → 3

19 → 3

22 → 1

Calls

Call 1

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

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

Call 2

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

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

Call 3

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

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

Call 4

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

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

Call 5

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

Outputs

(/.f64 #s(approx (exp x) #s(literal 1 binary64)) #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) (- (exp x) 1)) (-.f64 (-.f64 (*.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal -1/720 binary64)) #s(literal -1/12 binary64)) x) #s(literal -1/2 binary64)) (/.f64 #s(literal -1 binary64) x)))

Call 6

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

Outputs

(/.f64 #s(approx (exp x) #s(literal 1 binary64)) #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 (-.f64 (*.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal -1/720 binary64)) #s(literal -1/12 binary64)) x) #s(literal -1/2 binary64)) (/.f64 #s(literal -1 binary64) x)))

Call 7

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

Outputs

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

(/.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(approx (- (exp x) 1) (/.f64 (-.f64 (*.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal 1/6 binary64) x) #s(literal -1/2 binary64)) x) x) (*.f64 (*.f64 (-.f64 (*.f64 #s(literal 1/6 binary64) x) #s(literal -1/2 binary64)) x) x)) (*.f64 x x)) (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal 1/6 binary64) x) #s(literal -1/2 binary64)) x) x) x))))

#s(approx (/ (exp x) (- (exp x) 1)) (-.f64 (-.f64 (*.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal -1/720 binary64)) #s(literal -1/12 binary64)) x) #s(literal -1/2 binary64)) (/.f64 #s(literal -1 binary64) x)))

Call 8

Inputs
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 #s(literal 1 binary64) x))
#s(approx (/ (exp x) (- (exp x) 1)) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) x)))
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 #s(literal 2 binary64) (+.f64 x x)))
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 #s(literal 2 binary64) (*.f64 x #s(literal 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 (-.f64 (*.f64 #s(literal 1/12 binary64) x) #s(literal -1/2 binary64)) (/.f64 #s(literal -1 binary64) x)))
(/.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(approx (- (exp x) 1) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) x)))))
(/.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(approx (- (exp x) 1) (-.f64 x (.f64 (.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))
(/.f64 #s(approx (exp x) #s(literal 1 binary64)) #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) (- (exp x) 1)) (-.f64 (-.f64 (.f64 (-.f64 (.f64 (*.f64 x x) #s(literal -1/720 binary64)) #s(literal -1/12 binary64)) x) #s(literal -1/2 binary64)) (/.f64 #s(literal -1 binary64) x)))
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 (-.f64 x (.f64 x (.f64 (-.f64 #s(literal -1/2 binary64) (.f64 #s(literal 1/12 binary64) x)) x))) (.f64 x x)))
(/.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(approx (- (exp x) 1) (.f64 x (+.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) x)) (.f64 (.f64 x x) #s(literal 1/6 binary64))))))
(/.f64 #s(approx (exp x) #s(literal 1 binary64)) #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)))))))))
(/.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(approx (- (exp x) 1) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 (-.f64 (.f64 #s(literal 1/6 binary64) x) #s(literal -1/2 binary64)) (.f64 (*.f64 x x) #s(literal 1/24 binary64))))))))
(/.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(approx (- (exp x) 1) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (/.f64 (-.f64 (.f64 (.f64 #s(literal 1/24 binary64) x) (.f64 #s(literal 1/24 binary64) x)) (.f64 #s(literal 1/6 binary64) #s(literal 1/6 binary64))) (-.f64 (.f64 #s(literal 1/24 binary64) x) #s(literal 1/6 binary64))))))))))
(/.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(approx (- (exp x) 1) (/.f64 (-.f64 (.f64 (.f64 (.f64 (-.f64 (.f64 #s(literal 1/6 binary64) x) #s(literal -1/2 binary64)) x) x) (.f64 (.f64 (-.f64 (.f64 #s(literal 1/6 binary64) x) #s(literal -1/2 binary64)) x) x)) (.f64 x x)) (-.f64 (.f64 (.f64 (-.f64 (*.f64 #s(literal 1/6 binary64) x) #s(literal -1/2 binary64)) x) x) x))))
(/.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(approx (- (exp x) 1) (/.f64 (-.f64 (.f64 (.f64 (.f64 (-.f64 (.f64 (-.f64 (.f64 #s(literal 1/24 binary64) x) #s(literal -1/6 binary64)) x) #s(literal -1/2 binary64)) x) x) (.f64 (.f64 (-.f64 (.f64 (-.f64 (.f64 #s(literal 1/24 binary64) x) #s(literal -1/6 binary64)) x) #s(literal -1/2 binary64)) x) x)) (.f64 x x)) (-.f64 (.f64 (.f64 (-.f64 (.f64 (-.f64 (.f64 #s(literal 1/24 binary64) x) #s(literal -1/6 binary64)) x) #s(literal -1/2 binary64)) x) x) x))))
(/.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(approx (- (exp x) 1) #s(approx (* x (+ 1 (* x (+ 1/2 (* x (+ 1/6 (* 1/24 x))))))) (*.f64 #s(literal 1/24 binary64) (pow.f64 x #s(literal 4 binary64))))))

Outputs

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

(/.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(approx (- (exp x) 1) (/.f64 (-.f64 (*.f64 (*.f64 (*.f64 (-.f64 (*.f64 (-.f64 (*.f64 #s(literal 1/24 binary64) x) #s(literal -1/6 binary64)) x) #s(literal -1/2 binary64)) x) x) (*.f64 (*.f64 (-.f64 (*.f64 (-.f64 (*.f64 #s(literal 1/24 binary64) x) #s(literal -1/6 binary64)) x) #s(literal -1/2 binary64)) x) x)) (*.f64 x x)) (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 (-.f64 (*.f64 #s(literal 1/24 binary64) x) #s(literal -1/6 binary64)) x) #s(literal -1/2 binary64)) x) x) x))))

#s(approx (/ (exp x) (- (exp x) 1)) (-.f64 (-.f64 (*.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal -1/720 binary64)) #s(literal -1/12 binary64)) x) #s(literal -1/2 binary64)) (/.f64 #s(literal -1 binary64) x)))

Call 9

Inputs
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 #s(literal 1 binary64) x))
#s(approx (/ (exp x) (- (exp x) 1)) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) x)))
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 #s(literal 2 binary64) (+.f64 x x)))
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 #s(literal 2 binary64) (*.f64 x #s(literal 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 (-.f64 (*.f64 #s(literal 1/12 binary64) x) #s(literal -1/2 binary64)) (/.f64 #s(literal -1 binary64) x)))
(/.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(approx (- (exp x) 1) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) x)))))
(/.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(approx (- (exp x) 1) (-.f64 x (.f64 (.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))
(/.f64 #s(approx (exp x) #s(literal 1 binary64)) #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) (- (exp x) 1)) (-.f64 (-.f64 (.f64 (-.f64 (.f64 (*.f64 x x) #s(literal -1/720 binary64)) #s(literal -1/12 binary64)) x) #s(literal -1/2 binary64)) (/.f64 #s(literal -1 binary64) x)))
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 (-.f64 x (.f64 x (.f64 (-.f64 #s(literal -1/2 binary64) (.f64 #s(literal 1/12 binary64) x)) x))) (.f64 x x)))
(/.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(approx (- (exp x) 1) (.f64 x (+.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) x)) (.f64 (.f64 x x) #s(literal 1/6 binary64))))))
(/.f64 #s(approx (exp x) #s(literal 1 binary64)) #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)))))))))
(/.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(approx (- (exp x) 1) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 (-.f64 (.f64 #s(literal 1/6 binary64) x) #s(literal -1/2 binary64)) (.f64 (*.f64 x x) #s(literal 1/24 binary64))))))))
(/.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(approx (- (exp x) 1) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (/.f64 (-.f64 (.f64 (.f64 #s(literal 1/24 binary64) x) (.f64 #s(literal 1/24 binary64) x)) (.f64 #s(literal 1/6 binary64) #s(literal 1/6 binary64))) (-.f64 (.f64 #s(literal 1/24 binary64) x) #s(literal 1/6 binary64))))))))))
(/.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(approx (- (exp x) 1) (/.f64 (-.f64 (.f64 (.f64 (.f64 (-.f64 (.f64 #s(literal 1/6 binary64) x) #s(literal -1/2 binary64)) x) x) (.f64 (.f64 (-.f64 (.f64 #s(literal 1/6 binary64) x) #s(literal -1/2 binary64)) x) x)) (.f64 x x)) (-.f64 (.f64 (.f64 (-.f64 (*.f64 #s(literal 1/6 binary64) x) #s(literal -1/2 binary64)) x) x) x))))
(/.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(approx (- (exp x) 1) (/.f64 (-.f64 (.f64 (.f64 (.f64 (-.f64 (.f64 (-.f64 (.f64 #s(literal 1/24 binary64) x) #s(literal -1/6 binary64)) x) #s(literal -1/2 binary64)) x) x) (.f64 (.f64 (-.f64 (.f64 (-.f64 (.f64 #s(literal 1/24 binary64) x) #s(literal -1/6 binary64)) x) #s(literal -1/2 binary64)) x) x)) (.f64 x x)) (-.f64 (.f64 (.f64 (-.f64 (.f64 (-.f64 (.f64 #s(literal 1/24 binary64) x) #s(literal -1/6 binary64)) x) #s(literal -1/2 binary64)) x) x) x))))
(/.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(approx (- (exp x) 1) #s(approx (* x (+ 1 (* x (+ 1/2 (* x (+ 1/6 (* 1/24 x))))))) (*.f64 #s(literal 1/24 binary64) (pow.f64 x #s(literal 4 binary64))))))
(/.f64 (exp.f64 x) #s(approx (- (exp x) 1) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) 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))
(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64)))

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

Calls

23 calls:

11.0ms	x
9.0ms	(exp.f64 x)
8.0ms	x
6.0ms	x
5.0ms	x

Results

Accuracy	Segments	Branch
65.4%	1	`(exp.f64 x)`
65.4%	1	`(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64)))`
65.4%	1	`x`
65.8%	1	`(exp.f64 x)`
65.8%	1	`(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64)))`
65.8%	1	`x`
82.2%	1	`(exp.f64 x)`
82.2%	1	`(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64)))`
82.2%	1	`x`
86.0%	1	`(exp.f64 x)`
86.0%	1	`x`
86.0%	1	`(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64)))`
87.5%	2	`(exp.f64 x)`
87.5%	2	`x`
89.8%	2	`(exp.f64 x)`
89.8%	2	`x`
93.4%	3	`x`
89.8%	2	`(exp.f64 x)`
88.3%	1	`(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64)))`
96.0%	3	`x`
99.4%	1	`(exp.f64 x)`
99.4%	1	`(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64)))`
99.4%	1	`x`

Compiler

Compiled 561 to 206 computations (63.3% saved)

bsearch30.0ms (1.4%)

Memory

28.3MiB live, 74.0MiB allocated; 4ms collecting garbage

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
14.0ms	-3003471.47793503	-1.564612198067927e-6
15.0ms	-1.373584572740649e+79	-5.567553939842343e+74

Samples

11.0ms

288×

valid

Compiler

Compiled 1 466 to 754 computations (48.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 6.0ms

ival-exp: 2.0ms (35.8% of total)

ival-expm1: 2.0ms (35.8% of total)

ival-div!: 2.0ms (35.8% of total)

adjust: 0.0ms (0.0% of total)

bsearch20.0ms (0.9%)

Memory

-15.2MiB live, 30.6MiB allocated; 6ms collecting garbage

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
2.0ms	-3003471.47793503	-1.564612198067927e-6
16.0ms	-1.1789866146558743e+105	-1.5863855182260618e+93

Samples

10.0ms

160×

valid

Compiler

Compiled 1 350 to 748 computations (44.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 3.0ms

ival-exp: 1.0ms (34.9% of total)

ival-expm1: 1.0ms (34.9% of total)

ival-div!: 1.0ms (34.9% of total)

adjust: 0.0ms (0.0% of total)

bsearch2.0ms (0.1%)

Memory

5.0MiB live, 5.0MiB allocated; 0ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
2.0ms	-3003471.47793503	-1.564612198067927e-6

Compiler

Compiled 490 to 378 computations (22.9% saved)

bsearch2.0ms (0.1%)

Memory

4.5MiB live, 4.5MiB allocated; 0ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
2.0ms	-3003471.47793503	-1.564612198067927e-6

Compiler

Compiled 450 to 348 computations (22.7% saved)

derivations63.0ms (3.0%)

Memory

-27.2MiB live, 63.6MiB allocated; 18ms collecting garbage

Stop Event

1×

fuel

Compiler

Compiled 387 to 82 computations (78.8% saved)

preprocess95.0ms (4.5%)

Memory: 5.0MiB live, 189.6MiB allocated; 45ms collecting garbage
Compiler: Compiled 394 to 87 computations (77.9% saved)

end0.0ms (0.0%)

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

start0.0ms (0.0%)

analyze2.0ms (0.1%)

sample594.0ms (28.3%)

preprocess32.0ms (1.5%)

sample0.0ms (0.0%)

series15.0ms (0.7%)

rewrite158.0ms (7.5%)

eval48.0ms (2.3%)

prune10.0ms (0.5%)

sample0.0ms (0.0%)

series24.0ms (1.2%)

rewrite199.0ms (9.5%)

eval90.0ms (4.3%)

prune18.0ms (0.9%)

sample0.0ms (0.0%)

series21.0ms (1.0%)

rewrite183.0ms (8.7%)

eval61.0ms (2.9%)

prune17.0ms (0.8%)

sample0.0ms (0.0%)

series28.0ms (1.3%)

rewrite173.0ms (8.2%)

eval82.0ms (3.9%)

prune24.0ms (1.1%)

regimes109.0ms (5.2%)

bsearch30.0ms (1.4%)

bsearch20.0ms (0.9%)

bsearch2.0ms (0.1%)

bsearch2.0ms (0.1%)

derivations63.0ms (3.0%)

preprocess95.0ms (4.5%)

end0.0ms (0.0%)

Profiling