Metrics for Kahan's exp quotient

start0.0ms (0%)

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

analyze1.0ms (0.1%)

Memory

2.8MiB live, 2.8MiB allocated; 0ms collecting garbage

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	100%	0%	0%	0%	0%	0
0%	0%	100%	0%	0%	0%	0%	1
50%	50%	50%	0%	0%	0%	0%	2
75%	75%	25%	0%	0%	0%	0%	3
87.5%	87.5%	12.5%	0%	0%	0%	0%	4
93.8%	93.7%	6.2%	0%	0%	0%	0%	5
96.9%	96.8%	3.1%	0%	0%	0%	0%	6
98.4%	98.4%	1.6%	0%	0%	0%	0%	7
99.2%	99.2%	0.8%	0%	0%	0%	0%	8
99.6%	99.6%	0.4%	0%	0%	0%	0%	9
99.8%	99.8%	0.2%	0%	0%	0%	0%	10
99.9%	99.9%	0.1%	0%	0%	0%	0%	11
100%	99.9%	0%	0%	0%	0%	0%	12

Compiler

Compiled 8 to 5 computations (37.5% saved)

sample592.0ms (34.2%)

Memory

-16.1MiB live, 774.1MiB allocated; 250ms collecting garbage

Samples

430.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 152.0ms

ival-expm1: 97.0ms (64% of total)

ival-div!: 53.0ms (35% of total)

adjust: 1.0ms (0.7% of total)

Bogosity

preprocess35.0ms (2%)

Memory

-3.0MiB live, 40.4MiB allocated; 16ms collecting garbage

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	10	23
1	48	20
2	211	20
3	1294	20

Stop Event

1×	node-limit

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	54.5%	(/.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) x)

Compiler

Compiled 12 to 10 computations (16.7% saved)

series8.0ms (0.5%)

Memory

27.0MiB live, 27.0MiB allocated; 0ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	40	147

Stop Event

1×	iter-limit

Counts

5 → 14

Calls

Call 1

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

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

Calls

3 calls:

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

rewrite367.0ms (21.2%)

Memory

41.1MiB live, 289.3MiB allocated; 224ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	14
0	8	14
1	45	14
2	175	14
3	927	14
0	4077	10

Stop Event

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

Counts

5 → 537

Calls

Call 1

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

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

eval57.0ms (3.3%)

Memory: 5.9MiB live, 95.5MiB allocated; 16ms collecting garbage
Compiler: Compiled 8 051 to 1 634 computations (79.7% saved)

prune8.0ms (0.5%)

Memory

23.3MiB live, 23.3MiB allocated; 0ms collecting garbage

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	544	3	547
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	545	3	548

Accuracy

100.0%

Counts

548 → 3

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(/.f64 (expm1.f64 x) x)
▶	50.0%	#s(approx (/ (- (exp x) 1) x) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x)))
▶	49.7%	#s(approx (/ (- (exp x) 1) x) #s(literal 1 binary64))

Compiler

Compiled 24 to 20 computations (16.7% saved)

series5.0ms (0.3%)

Memory

10.1MiB live, 10.1MiB allocated; 0ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	38	127

Stop Event

1×	iter-limit

Counts

9 → 12

Calls

Call 1

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

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

Calls

3 calls:

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

rewrite105.0ms (6.1%)

Memory

-23.6MiB live, 168.7MiB allocated; 20ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	33
0	15	33
1	73	33
2	257	33
3	1075	33
0	4069	31

Stop Event

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

Counts

9 → 452

Calls

Call 1

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

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

eval46.0ms (2.7%)

Memory: -5.7MiB live, 90.7MiB allocated; 16ms collecting garbage
Compiler: Compiled 6 834 to 1 371 computations (79.9% saved)

prune8.0ms (0.5%)

Memory

15.5MiB live, 15.5MiB allocated; 0ms collecting garbage

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	453	2	455
Fresh	0	0	0
Picked	1	2	3
Done	0	0	0
Total	454	4	458

Accuracy

100.0%

Counts

458 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(/.f64 (expm1.f64 x) x)
▶	50.0%	#s(approx (/ (- (exp x) 1) x) (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)))
▶	49.9%	#s(approx (/ (- (exp x) 1) x) #s(approx (+ 1 (* 1/2 x)) (*.f64 x (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))))
✓	49.7%	#s(approx (/ (- (exp x) 1) x) #s(literal 1 binary64))

Compiler

Compiled 43 to 34 computations (20.9% saved)

series5.0ms (0.3%)

Memory

5.2MiB live, 5.2MiB allocated; 0ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	36	122

Stop Event

1×	iter-limit

Counts

10 → 12

Calls

Call 1

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

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

Calls

3 calls:

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

rewrite100.0ms (5.8%)

Memory

3.8MiB live, 96.9MiB allocated; 5ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	66
0	20	67
1	130	55
2	425	55
3	2352	55
0	4235	51

Stop Event

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

Counts

10 → 328

Calls

Call 1

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

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

eval32.0ms (1.9%)

Memory: -2.5MiB live, 43.0MiB allocated; 3ms collecting garbage
Compiler: Compiled 7 248 to 1 378 computations (81% saved)

prune96.0ms (5.6%)

Memory

-40.0MiB live, 19.6MiB allocated; 102ms collecting garbage

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	277	3	280
Fresh	0	0	0
Picked	1	1	2
Done	0	2	2
Total	278	6	284

Accuracy

100.0%

Counts

284 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(/.f64 (expm1.f64 x) x)
✓	50.0%	#s(approx (/ (- (exp x) 1) x) (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)))
▶	49.9%	#s(approx (/ (- (exp x) 1) x) #s(approx (+ 1 (* 1/2 x)) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)) x)))
▶	49.6%	#s(approx (/ (- (exp x) 1) x) #s(approx (+ 1 (* 1/2 x)) (*.f64 x #s(approx (+ 1/2 (/ 1 x)) (/.f64 #s(literal 1 binary64) x)))))
▶	4.0%	#s(approx (/ (- (exp x) 1) x) #s(approx (+ 1 (* 1/2 x)) (*.f64 x #s(approx (+ 1/2 (/ 1 x)) #s(literal 1/2 binary64)))))
✓	49.7%	#s(approx (/ (- (exp x) 1) x) #s(literal 1 binary64))

Compiler

Compiled 89 to 65 computations (27% saved)

series5.0ms (0.3%)

Memory

12.4MiB live, 12.4MiB allocated; 0ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	36	122

Stop Event

1×	iter-limit

Counts

17 → 12

Calls

Call 1

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

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

Calls

3 calls:

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

rewrite119.0ms (6.9%)

Memory

11.7MiB live, 197.9MiB allocated; 24ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	24	166
0	29	166
1	131	166
2	415	160
3	1688	160
0	4671	145

Stop Event

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

Counts

17 → 239

Calls

Call 1

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

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

eval53.0ms (3.1%)

Memory: -19.0MiB live, 72.5MiB allocated; 8ms collecting garbage
Compiler: Compiled 7 884 to 1 482 computations (81.2% saved)

prune6.0ms (0.4%)

Memory

12.6MiB live, 12.6MiB allocated; 0ms collecting garbage

Pruning

7 alts after pruning (1 fresh and 6 done)

	Pruned	Kept	Total
New	292	1	293
Fresh	0	0	0
Picked	0	3	3
Done	0	3	3
Total	292	7	299

Accuracy

100.0%

Counts

299 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(/.f64 (expm1.f64 x) x)
✓	50.0%	#s(approx (/ (- (exp x) 1) x) (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)))
✓	49.9%	#s(approx (/ (- (exp x) 1) x) #s(approx (+ 1 (* 1/2 x)) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)) x)))
	25.2%	#s(approx (/ (- (exp x) 1) x) #s(approx (+ 1 (* 1/2 x)) (.f64 x #s(approx (+ 1/2 (/ 1 x)) (/.f64 x (.f64 x x))))))
✓	49.6%	#s(approx (/ (- (exp x) 1) x) #s(approx (+ 1 (* 1/2 x)) (*.f64 x #s(approx (+ 1/2 (/ 1 x)) (/.f64 #s(literal 1 binary64) x)))))
✓	4.0%	#s(approx (/ (- (exp x) 1) x) #s(approx (+ 1 (* 1/2 x)) (*.f64 x #s(approx (+ 1/2 (/ 1 x)) #s(literal 1/2 binary64)))))
✓	49.7%	#s(approx (/ (- (exp x) 1) x) #s(literal 1 binary64))

Compiler

Compiled 115 to 81 computations (29.6% saved)

regimes15.0ms (0.9%)

Memory

25.7MiB live, 25.7MiB allocated; 0ms collecting garbage

Accuracy

Total -29.7b remaining (-46.3%)

Threshold costs -29.7b (-46.3%)

Counts

2 → 1

8 → 1

10 → 1

Calls

Call 1

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

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

Call 2

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

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

Call 3

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

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

Calls

6 calls:

3.0ms	x
3.0ms	x
2.0ms	(/.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) x)
2.0ms	(/.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) x)
1.0ms	x

Results

Accuracy	Segments	Branch
49.7%	1	`(/.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) x)`
49.7%	1	`x`
50.0%	1	`(/.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) x)`
50.0%	1	`x`
100.0%	1	`(/.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) x)`
100.0%	1	`x`

Compiler

Compiled 174 to 65 computations (62.6% saved)

derivations31.0ms (1.8%)

Memory

-12.7MiB live, 32.8MiB allocated; 5ms collecting garbage

Stop Event

1×

fuel

Compiler

Compiled 23 to 12 computations (47.8% saved)

preprocess34.0ms (2%)

Memory: 8.7MiB live, 58.6MiB allocated; 13ms collecting garbage
Compiler: Compiled 51 to 29 computations (43.1% saved)

end0.0ms (0%)

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

start0.0ms (0%)

analyze1.0ms (0.1%)

sample592.0ms (34.2%)

preprocess35.0ms (2%)

series8.0ms (0.5%)

rewrite367.0ms (21.2%)

eval57.0ms (3.3%)

prune8.0ms (0.5%)

series5.0ms (0.3%)

rewrite105.0ms (6.1%)

eval46.0ms (2.7%)

prune8.0ms (0.5%)

series5.0ms (0.3%)

rewrite100.0ms (5.8%)

eval32.0ms (1.9%)

prune96.0ms (5.6%)

series5.0ms (0.3%)

rewrite119.0ms (6.9%)

eval53.0ms (3.1%)

prune6.0ms (0.4%)

regimes15.0ms (0.9%)

derivations31.0ms (1.8%)

preprocess34.0ms (2%)

end0.0ms (0%)

Profiling