Metrics for expq2 (section 3.11)

start0.0ms (0.0%)

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

analyze2.0ms (0.0%)

Memory

2.1MiB live, 2.1MiB 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)

sample649.0ms (8.6%)

Memory

3.0MiB live, 684.6MiB allocated; 241ms collecting garbage

Samples

463.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 231.0ms

ival-exp: 89.0ms (38.5% of total)

ival-expm1: 87.0ms (37.7% of total)

ival-div!: 43.0ms (18.6% of total)

adjust: 11.0ms (4.8% of total)

Bogosity

preprocess33.0ms (0.4%)

Memory

-8.7MiB live, 35.8MiB 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
▶	43.2%	(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64)))

Compiler

Compiled 14 to 10 computations (28.6% saved)

series17.0ms (0.2%)

Memory

-24.7MiB live, 21.1MiB allocated; 4ms 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
1.0ms	x	0

rewrite149.0ms (2.0%)

Memory

6.9MiB live, 192.9MiB allocated; 21ms 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 → 530

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))
(/.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)) #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)) #s(literal 8 binary64))
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eval379.0ms (5.0%)

Memory

20.8MiB live, 483.5MiB allocated; 91ms collecting garbage

Samples

208.0ms	3 474×	0	invalid
63.0ms	1 134×	0	valid

Compiler

Compiled 12 801 to 1 855 computations (85.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 84.0ms

ival-mult!: 64.0ms (76.0% of total)

ival-sub!: 14.0ms (16.6% of total)

adjust: 6.0ms (7.1% of total)

prune11.0ms (0.1%)

Memory

21.1MiB live, 21.1MiB allocated; 0ms collecting garbage

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	535	6	541
Fresh	0	0	0
Picked	1	0	1
Done	-1	1	0
Total	535	7	542

Accuracy

100.0%

Counts

542 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	43.2%	(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64)))
	5.3%	(/.f64 (exp.f64 x) (*.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 x))) (exp.f64 x)))
▶	98.5%	(/.f64 (exp.f64 x) #s(approx (- (exp x) 1) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) x)))))
▶	62.1%	#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))
▶	62.1%	#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/12 binary64) x)))) x))
▶	61.9%	#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x)) x))
▶	61.7%	#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 #s(literal 1 binary64) x))

Compiler

Compiled 199 to 149 computations (25.1% saved)

series23.0ms (0.3%)

Memory

-17.3MiB live, 28.3MiB allocated; 6ms 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
8.0ms	x	-inf
4.0ms	x	inf
3.0ms	x	0

rewrite1.6s (21.1%)

Memory

-139.7MiB live, 476.6MiB allocated; 2.9s collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	34	245
0	55	245
1	277	233
2	1194	233
0	4074	229

Stop Event

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

Counts

31 → 874

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))
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(/.f64 (-.f64 (.f64 (/.f64 #s(literal 1 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 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 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 (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 3 binary64)) (pow.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))) #s(literal 3 binary64))) (+.f64 (.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x)) (-.f64 (.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 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 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 (.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 (neg.f64 x) x))
(/.f64 (+.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 x x))
(/.f64 (-.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)) (neg.f64 (neg.f64 (neg.f64 x))))
(/.f64 (-.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)) (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)) (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)))

eval2.5s (32.8%)

Memory

74.3MiB live, 3 061.1MiB allocated; 1.3s collecting garbage

Samples

1.9s

27 136×

valid

Compiler

Compiled 26 917 to 4 133 computations (84.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 640.0ms

ival-mult!: 496.0ms (77.5% of total)

ival-sub!: 107.0ms (16.7% of total)

adjust: 37.0ms (5.8% of total)

prune32.0ms (0.4%)

Memory

9.5MiB live, 54.9MiB allocated; 24ms collecting garbage

Pruning

14 alts after pruning (10 fresh and 4 done)

	Pruned	Kept	Total
New	920	9	929
Fresh	0	1	1
Picked	5	0	5
Done	-3	4	1
Total	922	14	936

Accuracy

100.0%

Counts

936 → 14

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	43.2%	(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64)))
	5.3%	(/.f64 (exp.f64 x) (*.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 x))) (exp.f64 x)))
✓	98.5%	(/.f64 (exp.f64 x) #s(approx (- (exp x) 1) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) x)))))
▶	80.9%	(/.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)))))
▶	34.8%	#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 (-.f64 x (.f64 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)) x))) (.f64 x x)))
✓	61.9%	#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x)) x))
✓	61.7%	#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 #s(literal 1 binary64) x))
▶	62.1%	#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)))
▶	62.1%	#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)))
▶	61.9%	#s(approx (/ (exp x) (- (exp x) 1)) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) x)))
	32.9%	#s(approx (/ (exp x) (- (exp x) 1)) (+.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))))
	62.1%	#s(approx (/ (exp x) (- (exp x) 1)) (+.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)))
	62.1%	#s(approx (/ (exp x) (- (exp x) 1)) (+.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (.f64 (.f64 x x) #s(literal 1/12 binary64)) #s(literal -1 binary64)) x)))
	35.0%	#s(approx (/ (exp x) (- (exp x) 1)) (+.f64 #s(literal 1/2 binary64) (/.f64 x (*.f64 x x))))

Compiler

Compiled 452 to 314 computations (30.5% saved)

series32.0ms (0.4%)

Memory

-3.8MiB live, 41.2MiB allocated; 21ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	218	1551

Stop Event

1×	iter-limit

Counts

34 → 73

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 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)))
(-.f64 #s(literal -1/2 binary64) (.f64 (-.f64 (.f64 (*.f64 x x) #s(literal -1/720 binary64)) #s(literal -1/12 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)) x)
(.f64 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)) x))
(-.f64 x (.f64 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)) x)))
(/.f64 (-.f64 x (.f64 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)) x))) (.f64 x x))
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 (-.f64 x (.f64 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)) 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 (* 1/2 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 (* 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 (- -1/2 (* (- (* (* x x) -1/720) -1/12) x)) #s(literal -1/2 binary64))
#s(approx (- -1/2 (* (- (* (* x x) -1/720) -1/12) x)) (-.f64 (*.f64 #s(literal -1/12 binary64) x) #s(literal 1/2 binary64)))
#s(approx (- -1/2 (* (- (* (* x x) -1/720) -1/12) x)) (-.f64 (.f64 x (-.f64 (.f64 #s(literal 1/720 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/12 binary64))) #s(literal 1/2 binary64)))
#s(approx (* (- -1/2 (* (- (* (* x x) -1/720) -1/12) x)) x) (*.f64 #s(literal -1/2 binary64) x))
#s(approx (* (- -1/2 (* (- (* (* x x) -1/720) -1/12) x)) x) (.f64 x (-.f64 (.f64 #s(literal -1/12 binary64) x) #s(literal 1/2 binary64))))
#s(approx (* (- -1/2 (* (- (* (* x x) -1/720) -1/12) x)) x) (.f64 x (-.f64 (.f64 x (-.f64 (*.f64 #s(literal 1/720 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/12 binary64))) #s(literal 1/2 binary64))))
#s(approx (* x (* (- -1/2 (* (- (* (* x x) -1/720) -1/12) x)) x)) (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64))))
#s(approx (* x (* (- -1/2 (* (- (* (* x x) -1/720) -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 (* (- -1/2 (* (- (* (* x x) -1/720) -1/12) x)) x)) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 x (-.f64 (*.f64 #s(literal 1/720 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/12 binary64))) #s(literal 1/2 binary64))))
#s(approx (- x (* x (* (- -1/2 (* (- (* (* x x) -1/720) -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 (* (- -1/2 (* (- (* (* x x) -1/720) -1/12) x)) x))) (.f64 x (+.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 (- 1/2 (/ -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 (- -1/2 (* (- (* (* x x) -1/720) -1/12) x)) (*.f64 #s(literal 1/720 binary64) (pow.f64 x #s(literal 3 binary64))))
#s(approx (- -1/2 (* (- (* (* x x) -1/720) -1/12) x)) (.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 x) -1/720) -1/12) x)) (.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 (* (- -1/2 (* (- (* (* x x) -1/720) -1/12) x)) x) (*.f64 #s(literal 1/720 binary64) (pow.f64 x #s(literal 4 binary64))))
#s(approx (* (- -1/2 (* (- (* (* x x) -1/720) -1/12) x)) x) (.f64 (pow.f64 x #s(literal 4 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 x) -1/720) -1/12) x)) x) (.f64 (pow.f64 x #s(literal 4 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 (* (- -1/2 (* (- (* (* x x) -1/720) -1/12) x)) x)) (*.f64 #s(literal 1/720 binary64) (pow.f64 x #s(literal 5 binary64))))
#s(approx (* x (* (- -1/2 (* (- (* (* x x) -1/720) -1/12) x)) x)) (.f64 (pow.f64 x #s(literal 5 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 (* (- -1/2 (* (- (* (* x x) -1/720) -1/12) x)) x)) (.f64 (pow.f64 x #s(literal 5 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 (* (- -1/2 (* (- (* (* x x) -1/720) -1/12) x)) x))) (*.f64 #s(literal -1/720 binary64) (pow.f64 x #s(literal 5 binary64))))
#s(approx (- x (* x (* (- -1/2 (* (- (* (* x x) -1/720) -1/12) x)) x))) (.f64 (pow.f64 x #s(literal 5 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 (* (- -1/2 (* (- (* (* x x) -1/720) -1/12) x)) x))) (.f64 (pow.f64 x #s(literal 5 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 (* (- -1/2 (* (- (* (* x x) -1/720) -1/12) x)) x))) (.f64 (pow.f64 x #s(literal 5 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))))))))
#s(approx (- -1/2 (* (- (* (* x x) -1/720) -1/12) x)) (.f64 #s(literal -1 binary64) (.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 x) -1/720) -1/12) x)) (.f64 #s(literal -1 binary64) (.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 x) -1/720) -1/12) x)) x)) (.f64 #s(literal -1 binary64) (.f64 (pow.f64 x #s(literal 5 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 x) -1/720) -1/12) x)) x)) (.f64 #s(literal -1 binary64) (.f64 (pow.f64 x #s(literal 5 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 (* (- -1/2 (* (- (* (* x x) -1/720) -1/12) x)) x))) (.f64 #s(literal -1 binary64) (.f64 (pow.f64 x #s(literal 5 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 (* (- -1/2 (* (- (* (* x x) -1/720) -1/12) x)) x))) (.f64 #s(literal -1 binary64) (.f64 (pow.f64 x #s(literal 5 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 (* (- -1/2 (* (- (* (* x x) -1/720) -1/12) x)) x))) (.f64 #s(literal -1 binary64) (.f64 (pow.f64 x #s(literal 5 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

rewrite233.0ms (3.1%)

Memory

-15.2MiB live, 327.8MiB allocated; 146ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	37	290
0	57	278
1	310	278
2	1153	278
0	4051	276

Stop Event

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

Counts

34 → 841

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

Outputs
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 x #s(literal 1/2 binary64))
(neg.f64 (*.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 #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 (*.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64)))))
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(+.f64 (/.f64 x (.f64 x x)) (.f64 (.f64 x #s(literal -1 binary64)) (/.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) (.f64 x x))))
(+.f64 (/.f64 x (.f64 x x)) (.f64 (neg.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) (fabs.f64 x))) (/.f64 x (fabs.f64 x))))
(+.f64 (/.f64 x (.f64 x x)) (.f64 (neg.f64 (/.f64 x (fabs.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) (fabs.f64 x))))
(+.f64 (/.f64 x (.f64 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) (/.f64 x (*.f64 x x))))
(+.f64 (/.f64 x (.f64 x x)) (.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) (*.f64 x x))))
(+.f64 (/.f64 x (.f64 x 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 x 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 #s(literal -1 binary64) x) #s(literal -1 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))))

eval993.0ms (13.2%)

Memory

54.7MiB live, 1 361.7MiB allocated; 415ms collecting garbage

Samples

412.0ms	5 696×	0	invalid
319.0ms	6 080×	0	valid

Compiler

Compiled 26 459 to 3 915 computations (85.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 249.0ms

ival-mult!: 183.0ms (73.4% of total)

ival-sub!: 55.0ms (22.1% of total)

adjust: 12.0ms (4.8% of total)

prune31.0ms (0.4%)

Memory

4.6MiB live, 50.1MiB allocated; 17ms collecting garbage

Pruning

17 alts after pruning (10 fresh and 7 done)

	Pruned	Kept	Total
New	838	6	844
Fresh	1	4	5
Picked	5	0	5
Done	-3	7	4
Total	841	17	858

Accuracy

100.0%

Counts

858 → 17

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	43.2%	(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64)))
	5.3%	(/.f64 (exp.f64 x) (*.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 x))) (exp.f64 x)))
✓	98.5%	(/.f64 (exp.f64 x) #s(approx (- (exp x) 1) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) x)))))
▶	80.9%	(/.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))))
▶	90.8%	(/.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)))))))))
▶	87.9%	(/.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)))))))
✓	80.9%	(/.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)))))
✓	34.8%	#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 (-.f64 x (.f64 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)) x))) (.f64 x x)))
✓	61.9%	#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x)) x))
✓	61.7%	#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 #s(literal 1 binary64) x))
	62.1%	#s(approx (/ (exp x) (- (exp x) 1)) (-.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))))
✓	61.9%	#s(approx (/ (exp x) (- (exp x) 1)) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) x)))
	62.1%	#s(approx (/ (exp x) (- (exp x) 1)) (-.f64 #s(literal 1/2 binary64) (-.f64 (/.f64 #s(literal -1 binary64) x) (*.f64 #s(literal 1/12 binary64) x))))
	32.9%	#s(approx (/ (exp x) (- (exp x) 1)) (+.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 x x)) (/.f64 x (*.f64 x x))))
▶	62.1%	#s(approx (/ (exp x) (- (exp x) 1)) (+.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)))
	62.1%	#s(approx (/ (exp x) (- (exp x) 1)) (+.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (.f64 (.f64 x x) #s(literal 1/12 binary64)) #s(literal -1 binary64)) x)))
▶	35.0%	#s(approx (/ (exp x) (- (exp x) 1)) (+.f64 #s(literal 1/2 binary64) (/.f64 x (*.f64 x x))))

Compiler

Compiled 519 to 364 computations (29.9% saved)

series48.0ms (0.6%)

Memory

-55.3MiB live, 48.1MiB allocated; 42ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	249	1696

Stop Event

1×	iter-limit

Counts

43 → 82

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

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) (pow.f64 x #s(literal 2 binary64)))
#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 (* (* 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 #s(literal 1/12 binary64) x))
#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) x) (*.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 2 binary64))))
#s(approx (* (* (- (* (* x x) -1/720) -1/12) x) x) (.f64 (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))))))
#s(approx (- (* (* (- (* (* x x) -1/720) -1/12) x) x) -1) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 2 binary64)))))
#s(approx (- (* (* (- (* (* x x) -1/720) -1/12) x) x) -1) (+.f64 #s(literal 1 binary64) (.f64 (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)))))))
#s(approx (/ (- (* (* (- (* (* x x) -1/720) -1/12) x) x) -1) x) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 2 binary64)))) x))
#s(approx (/ (- (* (* (- (* (* x x) -1/720) -1/12) x) x) -1) x) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 (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)))))) x))
#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 (+ 1/2 (/ x (* x x))) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))
#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 (- (* (* 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) x) (*.f64 #s(literal -1/720 binary64) (pow.f64 x #s(literal 4 binary64))))
#s(approx (* (* (- (* (* x x) -1/720) -1/12) x) x) (.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 x) -1/720) -1/12) x) x) -1) (.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (+.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 (/ (- (* (* (- (* (* x x) -1/720) -1/12) x) x) -1) x) (.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (+.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 (+ 1/2 (/ (- (* (* (- (* (* x x) -1/720) -1/12) x) x) -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 #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 x) -1/720) -1/12) x) x) -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 (* 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) -1/720) -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) x) -1) x) (.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 binary64) (pow.f64 x #s(literal 2 binary64)))) (pow.f64 x #s(literal 2 binary64))))))))
#s(approx (+ 1/2 (/ (- (* (* (- (* (* x x) -1/720) -1/12) x) x) -1) x)) (.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 (+ 1/2 (/ (- (* (* (- (* (* x x) -1/720) -1/12) x) x) -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
26.0ms	x	-inf
6.0ms	x	inf
3.0ms	x	0

rewrite218.0ms (2.9%)

Memory

6.7MiB live, 330.4MiB allocated; 54ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	46	369
0	74	363
1	388	357
2	1634	357
0	4067	354

Stop Event

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

Counts

43 → 665

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

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

eval90.0ms (1.2%)

Memory: 28.2MiB live, 167.0MiB allocated; 50ms collecting garbage
Compiler: Compiled 25 042 to 4 260 computations (83.0% saved)

prune38.0ms (0.5%)

Memory

-46.9MiB live, 56.6MiB allocated; 32ms collecting garbage

Pruning

24 alts after pruning (13 fresh and 11 done)

	Pruned	Kept	Total
New	742	11	753
Fresh	3	2	5
Picked	5	0	5
Done	-4	11	7
Total	746	24	770

Accuracy

100.0%

Counts

770 → 24

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	43.2%	(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64)))
	5.3%	(/.f64 (exp.f64 x) (*.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 x))) (exp.f64 x)))
✓	98.5%	(/.f64 (exp.f64 x) #s(approx (- (exp x) 1) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) x)))))
	34.8%	(/.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))))
	36.8%	(/.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))))
✓	80.9%	(/.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))))
	87.9%	(/.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(approx (- (exp x) 1) (+.f64 (.f64 (.f64 (-.f64 (*.f64 #s(literal 1/6 binary64) x) #s(literal -1/2 binary64)) x) x) x)))
	87.9%	(/.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 #s(literal 1/6 binary64) x) x)))))
	90.8%	(/.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))))))))
✓	90.8%	(/.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)))))))))
	90.8%	(/.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 #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))))))))))))
✓	80.9%	(/.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)))))
	33.2%	(/.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))))))
✓	34.8%	#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 (-.f64 x (.f64 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)) x))) (.f64 x x)))
✓	61.9%	#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x)) x))
✓	61.7%	#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 #s(literal 1 binary64) x))
	62.1%	#s(approx (/ (exp x) (- (exp x) 1)) (-.f64 (.f64 (-.f64 (.f64 #s(literal -1/720 binary64) (*.f64 x x)) #s(literal -1/12 binary64)) x) (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1/2 binary64))))
✓	61.9%	#s(approx (/ (exp x) (- (exp x) 1)) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) x)))
	62.1%	#s(approx (/ (exp x) (- (exp x) 1)) (-.f64 #s(literal 1/2 binary64) (-.f64 (/.f64 #s(literal -1 binary64) x) (*.f64 #s(literal 1/12 binary64) x))))
✓	62.1%	#s(approx (/ (exp x) (- (exp x) 1)) (+.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)))
	62.1%	#s(approx (/ (exp x) (- (exp x) 1)) (+.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (.f64 (.f64 #s(approx (- (* (* x x) -1/720) -1/12) #s(literal 1/12 binary64)) x) x) #s(literal -1 binary64)) x)))
	26.2%	#s(approx (/ (exp x) (- (exp x) 1)) (+.f64 #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) x) (.f64 x x)) (.f64 x x)) (.f64 x (*.f64 x x)))))
✓	35.0%	#s(approx (/ (exp x) (- (exp x) 1)) (+.f64 #s(literal 1/2 binary64) (/.f64 x (*.f64 x x))))
	62.1%	#s(approx (/ (exp x) (- (exp x) 1)) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (/.f64 x (-.f64 (.f64 (.f64 (-.f64 (.f64 #s(literal -1/720 binary64) (.f64 x x)) #s(literal -1/12 binary64)) x) x) #s(literal -1 binary64))))))

Compiler

Compiled 568 to 370 computations (34.9% saved)

regimes184.0ms (2.4%)

Memory

50.6MiB live, 286.9MiB allocated; 41ms collecting garbage

Counts

1 → 1

4 → 1

6 → 1

8 → 2

11 → 2

13 → 2

18 → 2

26 → 2

27 → 3

29 → 3

33 → 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 1/2 binary64) (/.f64 x (*.f64 x x))))
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x)) x))

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

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

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)))))

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

Outputs

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

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

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 #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))))

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

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

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 #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))))

Call 10

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

Call 11

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

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

28 calls:

44.0ms	(exp.f64 x)
12.0ms	x
11.0ms	(exp.f64 x)
11.0ms	(exp.f64 x)
8.0ms	x

Results

Accuracy	Segments	Branch
61.7%	1	`(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64)))`
61.7%	1	`(exp.f64 x)`
61.7%	1	`x`
61.9%	1	`x`
61.9%	1	`(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64)))`
61.9%	1	`(exp.f64 x)`
62.1%	1	`(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64)))`
62.1%	1	`(exp.f64 x)`
62.1%	1	`x`
82.6%	2	`(exp.f64 x)`
82.6%	2	`x`
80.9%	1	`(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64)))`
82.6%	2	`(exp.f64 x)`
82.6%	2	`x`
89.6%	2	`(exp.f64 x)`
89.6%	2	`x`
87.9%	1	`(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64)))`
89.8%	2	`x`
89.8%	2	`(exp.f64 x)`
92.6%	2	`(exp.f64 x)`
92.6%	2	`x`
95.2%	3	`x`
92.6%	2	`(exp.f64 x)`
90.8%	1	`(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64)))`
96.3%	3	`x`
98.5%	1	`(exp.f64 x)`
98.5%	1	`(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64)))`
98.5%	1	`x`

Compiler

Compiled 861 to 278 computations (67.7% saved)

bsearch28.0ms (0.4%)

Memory

-2.9MiB live, 42.8MiB allocated; 5ms collecting garbage

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
11.0ms	-1754.4675781369326	-1.3893287654617221
15.0ms	-3.251466667595543e+77	-1.9556726348498942e+74

Samples

14.0ms

256×

valid

Compiler

Compiled 1 306 to 672 computations (48.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 9.0ms

adjust: 3.0ms (34.4% of total)

ival-exp: 2.0ms (22.9% of total)

ival-expm1: 2.0ms (22.9% of total)

ival-div!: 1.0ms (11.5% of total)

bsearch27.0ms (0.4%)

Memory

-8.0MiB live, 37.1MiB allocated; 8ms collecting garbage

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
10.0ms	-1754.4675781369326	-1.3893287654617221
15.0ms	-2.4921634917761185e+104	-8.702752360965059e+102

Samples

15.0ms

224×

valid

Compiler

Compiled 1 016 to 564 computations (44.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 5.0ms

ival-exp: 2.0ms (41.0% of total)

ival-expm1: 1.0ms (20.5% of total)

ival-div!: 1.0ms (20.5% of total)

adjust: 0.0ms (0.0% of total)

bsearch0.0ms (0.0%)

Memory

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

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.0	0.24924254870248796

Compiler

Compiled 11 to 9 computations (18.2% saved)

bsearch2.0ms (0.0%)

Memory

3.7MiB live, 3.7MiB allocated; 0ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
2.0ms	-1754.4675781369326	-1.3893287654617221

Compiler

Compiled 362 to 280 computations (22.7% saved)

bsearch8.0ms (0.1%)

Memory

13.9MiB live, 13.9MiB allocated; 0ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
7.0ms	-1754.4675781369326	-1.3893287654617221

Samples

4.0ms

80×

valid

Compiler

Compiled 330 to 256 computations (22.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 2.0ms

ival-exp: 1.0ms (56.3% of total)

ival-expm1: 1.0ms (56.3% of total)

adjust: 0.0ms (0.0% of total)

ival-div!: 0.0ms (0.0% of total)

bsearch22.0ms (0.3%)

Memory

-40.8MiB live, 16.0MiB allocated; 16ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
21.0ms	-1754.4675781369326	-1.3893287654617221

Samples

4.0ms

96×

valid

Compiler

Compiled 298 to 232 computations (22.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 2.0ms

ival-exp: 1.0ms (48.4% of total)

ival-expm1: 1.0ms (48.4% of total)

ival-div!: 1.0ms (48.4% of total)

adjust: 0.0ms (0.0% of total)

bsearch2.0ms (0.0%)

Memory

3.0MiB live, 3.0MiB allocated; 0ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
2.0ms	-1754.4675781369326	-1.3893287654617221

Compiler

Compiled 282 to 224 computations (20.6% saved)

derivations129.0ms (1.7%)

Memory

-3.3MiB live, 132.4MiB allocated; 21ms collecting garbage

Stop Event

1×

fuel

Compiler

Compiled 489 to 103 computations (78.9% saved)

preprocess87.0ms (1.2%)

Memory: 20.0MiB live, 211.2MiB allocated; 24ms collecting garbage
Compiler: Compiled 496 to 108 computations (78.2% saved)

end0.0ms (0.0%)

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

start0.0ms (0.0%)

analyze2.0ms (0.0%)

sample649.0ms (8.6%)

preprocess33.0ms (0.4%)

series17.0ms (0.2%)

rewrite149.0ms (2.0%)

eval379.0ms (5.0%)

prune11.0ms (0.1%)

series23.0ms (0.3%)

rewrite1.6s (21.1%)

eval2.5s (32.8%)

prune32.0ms (0.4%)

series32.0ms (0.4%)

rewrite233.0ms (3.1%)

eval993.0ms (13.2%)

prune31.0ms (0.4%)

series48.0ms (0.6%)

rewrite218.0ms (2.9%)

eval90.0ms (1.2%)

prune38.0ms (0.5%)

regimes184.0ms (2.4%)

bsearch28.0ms (0.4%)

bsearch27.0ms (0.4%)

bsearch0.0ms (0.0%)

bsearch2.0ms (0.0%)

bsearch8.0ms (0.1%)

bsearch22.0ms (0.3%)

bsearch2.0ms (0.0%)

derivations129.0ms (1.7%)

preprocess87.0ms (1.2%)

end0.0ms (0.0%)

Profiling