Metrics for Kahan's exp quotient

start0.0ms (0.0%)

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

analyze1.0ms (0.1%)

Memory

1.7MiB live, 1.7MiB allocated; 0ms collecting garbage

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0.0%	0.0%	100.0%	0.0%	0.0%	0.0%	0.0%	0
0.0%	0.0%	100.0%	0.0%	0.0%	0.0%	0.0%	1
50.0%	50.0%	50.0%	0.0%	0.0%	0.0%	0.0%	2
75.0%	75.0%	25.0%	0.0%	0.0%	0.0%	0.0%	3
87.5%	87.5%	12.5%	0.0%	0.0%	0.0%	0.0%	4
93.8%	93.7%	6.2%	0.0%	0.0%	0.0%	0.0%	5
96.9%	96.8%	3.1%	0.0%	0.0%	0.0%	0.0%	6
98.4%	98.4%	1.6%	0.0%	0.0%	0.0%	0.0%	7
99.2%	99.2%	0.8%	0.0%	0.0%	0.0%	0.0%	8
99.6%	99.6%	0.4%	0.0%	0.0%	0.0%	0.0%	9
99.8%	99.8%	0.2%	0.0%	0.0%	0.0%	0.0%	10
99.9%	99.9%	0.1%	0.0%	0.0%	0.0%	0.0%	11
100.0%	99.9%	0.0%	0.0%	0.0%	0.0%	0.0%	12

Compiler

Compiled 8 to 5 computations (37.5% saved)

sample568.0ms (26.4%)

Memory

22.0MiB live, 701.1MiB allocated; 160ms collecting garbage

Samples

312.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 135.0ms

ival-expm1: 73.0ms (53.9% of total)

ival-div!: 61.0ms (45.1% of total)

adjust: 2.0ms (1.5% of total)

Bogosity

preprocess73.0ms (3.4%)

Memory

-20.7MiB live, 37.1MiB allocated; 74ms 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
▶	50.1%	(/.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) x)

Compiler

Compiled 12 to 10 computations (16.7% saved)

sample0.0ms (0.0%)

Memory

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

Calls

Call 1

Inputs
1

Outputs
#s(literal 1 binary64)

Samples

0.0ms

1×

valid

Compiler

Compiled 3 to 3 computations (0.0% saved)

Precisions

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

adjust: 0.0ms (0.0% of total)

series11.0ms (0.5%)

Memory

18.1MiB live, 18.1MiB 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

rewrite140.0ms (6.5%)

Memory

15.2MiB live, 253.3MiB allocated; 32ms 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)))
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(/.f64 (fma.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 (fma.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 (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))
(-.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)))
(sqrt.f64 (exp.f64 (+.f64 x 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)

eval53.0ms (2.5%)

Memory: 3.0MiB live, 94.0MiB allocated; 11ms collecting garbage
Compiler: Compiled 8 047 to 1 634 computations (79.7% saved)

prune21.0ms (1.0%)

Memory

-27.8MiB live, 23.0MiB allocated; 12ms collecting garbage

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	540	6	546
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	541	6	547

Accuracy

100.0%

Counts

547 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
	27.1%	(/.f64 (/.f64 (-.f64 (*.f64 #s(literal -1 binary64) #s(literal -1 binary64)) (exp.f64 (+.f64 x x))) (-.f64 #s(literal -1 binary64) (exp.f64 x))) x)
▶	100.0%	(/.f64 (expm1.f64 x) x)
▶	99.9%	(*.f64 (/.f64 #s(literal 1 binary64) x) (expm1.f64 x))
▶	71.5%	#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)))))))
▶	54.5%	#s(approx (/ (- (exp x) 1) x) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x)))
▶	54.2%	#s(approx (/ (- (exp x) 1) x) #s(literal 1 binary64))

Compiler

Compiled 130 to 102 computations (21.5% saved)

sample0.0ms (0.0%)

Memory

0.4MiB live, 0.4MiB allocated; 0ms collecting garbage

Calls

Call 1

Inputs
1
1/2
1/6
1/24

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

Samples

0.0ms

1×

valid

Compiler

Compiled 6 to 6 computations (0.0% saved)

Precisions

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

adjust: 0.0ms (0.0% of total)

series12.0ms (0.5%)

Memory

16.2MiB live, 16.2MiB allocated; 0ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	96	533

Stop Event

1×	iter-limit

Counts

20 → 33

Calls

Call 1

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

Calls

3 calls:

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

rewrite135.0ms (6.3%)

Memory

31.9MiB live, 169.1MiB allocated; 11ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	23	110
0	34	108
1	172	108
2	712	108
3	2775	108
0	4695	94

Stop Event

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

Counts

20 → 699

Calls

Call 1

Inputs
(/.f64 (expm1.f64 x) x)
(expm1.f64 x)
x
#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)
(*.f64 (/.f64 #s(literal 1 binary64) x) (expm1.f64 x))
(/.f64 #s(literal 1 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)))))))
(+.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 1/2 binary64) (.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 1/6 binary64) (.f64 #s(literal 1/24 binary64) x)))
(+.f64 #s(literal 1/6 binary64) (*.f64 #s(literal 1/24 binary64) x))
#s(literal 1/6 binary64)
(*.f64 #s(literal 1/24 binary64) x)
#s(literal 1/24 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 (fma.f64 (neg.f64 x) (exp.f64 x) x) (/.f64 #s(literal -1 binary64) (.f64 x x)))
(.f64 (-.f64 (.f64 (exp.f64 x) x) x) (/.f64 #s(literal 1 binary64) (*.f64 x x)))
(*.f64 (neg.f64 (expm1.f64 x)) (/.f64 #s(literal -1 binary64) x))
(.f64 #s(literal -1 binary64) (.f64 (/.f64 #s(literal -1 binary64) x) (expm1.f64 x)))
(*.f64 #s(literal -1 binary64) (/.f64 (neg.f64 (expm1.f64 x)) x))
(*.f64 (/.f64 #s(literal 1 binary64) x) (expm1.f64 x))
(*.f64 (/.f64 (expm1.f64 x) x) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 (expm1.f64 x) x))
(*.f64 (expm1.f64 x) (/.f64 #s(literal 1 binary64) x))
(/.f64 (-.f64 (.f64 (.f64 (neg.f64 x) (exp.f64 x)) (.f64 (neg.f64 x) x)) (.f64 (.f64 (neg.f64 x) x) (neg.f64 x))) (.f64 (.f64 (neg.f64 x) x) (.f64 (neg.f64 x) x)))
(/.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 (neg.f64 x) 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 #s(literal -1 binary64) (exp.f64 x)) #s(literal 2 binary64)) (.f64 (neg.f64 x) (.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) (*.f64 (neg.f64 x) #s(literal 2 binary64)))
(/.f64 (-.f64 (.f64 (.f64 #s(literal -1 binary64) (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)))
(/.f64 (-.f64 (.f64 (.f64 #s(literal -1 binary64) (exp.f64 x)) (.f64 (neg.f64 x) #s(literal 2 binary64))) (.f64 (neg.f64 x) #s(literal -2 binary64))) (.f64 (neg.f64 x) (.f64 (neg.f64 x) #s(literal 2 binary64))))
(/.f64 (-.f64 (.f64 (.f64 #s(literal -1 binary64) (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 (-.f64 (.f64 (.f64 #s(literal -1 binary64) (exp.f64 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 binary64) (exp.f64 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 (-.f64 (.f64 (.f64 #s(literal -1 binary64) (exp.f64 x)) (neg.f64 x)) (.f64 (neg.f64 x) #s(literal -1 binary64))) (.f64 x x))
(/.f64 (-.f64 (.f64 (.f64 #s(literal -1 binary64) (exp.f64 x)) x) (neg.f64 x)) (*.f64 (neg.f64 x) x))
(/.f64 (-.f64 (.f64 (.f64 (exp.f64 x) #s(literal -1 binary64)) #s(literal 2 binary64)) (.f64 (neg.f64 x) (.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) (*.f64 (neg.f64 x) #s(literal 2 binary64)))
(/.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 (neg.f64 x) #s(literal 2 binary64))) (.f64 (neg.f64 x) #s(literal -2 binary64))) (.f64 (neg.f64 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)) (.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 (-.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) (neg.f64 x)) (*.f64 (neg.f64 x) x))
(/.f64 (-.f64 (.f64 (fma.f64 (/.f64 (cosh.f64 x) x) x (sinh.f64 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 (-.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 (neg.f64 x) #s(literal 2 binary64))) (.f64 x #s(literal -2 binary64))) (.f64 x (*.f64 (neg.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)) (.f64 x #s(literal 2 binary64))) (.f64 x #s(literal 2 binary64))) (.f64 x (*.f64 x #s(literal 2 binary64))))
(/.f64 (-.f64 (.f64 (fma.f64 (/.f64 (cosh.f64 x) x) x (sinh.f64 x)) (neg.f64 x)) (neg.f64 x)) (.f64 (neg.f64 x) 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 (/.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) (.f64 (*.f64 x x) #s(literal 2 binary64)))
(/.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 (neg.f64 x) #s(literal 2 binary64))) (.f64 (.f64 x x) #s(literal -2 binary64))) (.f64 (.f64 x x) (.f64 (neg.f64 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)) (.f64 x #s(literal 2 binary64))) (.f64 (.f64 x x) #s(literal 2 binary64))) (.f64 (.f64 x x) (.f64 x #s(literal 2 binary64))))
(/.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 (/.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) (.f64 (*.f64 x x) #s(literal 2 binary64)))
(/.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 (neg.f64 x) #s(literal 2 binary64))) (.f64 (.f64 x x) #s(literal -2 binary64))) (.f64 (.f64 x x) (.f64 (neg.f64 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))) (.f64 x #s(literal 2 binary64))) (.f64 (.f64 x x) #s(literal 2 binary64))) (.f64 (.f64 x x) (.f64 x #s(literal 2 binary64))))
(/.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 (/.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) (.f64 (neg.f64 x) #s(literal 2 binary64)))
(/.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)))
(/.f64 (-.f64 (.f64 (neg.f64 (exp.f64 x)) (.f64 (neg.f64 x) #s(literal 2 binary64))) (.f64 (neg.f64 x) #s(literal -2 binary64))) (.f64 (neg.f64 x) (*.f64 (neg.f64 x) #s(literal 2 binary64))))
(/.f64 (-.f64 (.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 (-.f64 (.f64 (neg.f64 (exp.f64 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 (neg.f64 (exp.f64 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 (-.f64 (.f64 (exp.f64 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 (-.f64 (.f64 (exp.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 (exp.f64 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 (-.f64 (.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 (-.f64 (.f64 (exp.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 (exp.f64 x) (.f64 x #s(literal 2 binary64))) (.f64 x #s(literal 2 binary64))) (.f64 x (*.f64 x #s(literal 2 binary64))))
(/.f64 (neg.f64 (.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 x) (exp.f64 x) x))) (neg.f64 (.f64 (neg.f64 x) x)))
(/.f64 (neg.f64 (.f64 #s(literal 1 binary64) (-.f64 (.f64 (exp.f64 x) x) x))) (*.f64 (neg.f64 x) x))
(/.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (/.f64 (expm1.f64 x) x))) #s(literal -2 binary64))
(/.f64 (neg.f64 (/.f64 (fma.f64 (neg.f64 x) (exp.f64 x) x) x)) x)
(/.f64 (neg.f64 (/.f64 (-.f64 (*.f64 (exp.f64 x) x) x) x)) (neg.f64 x))
(/.f64 (neg.f64 (fma.f64 (neg.f64 (exp.f64 x)) x (.f64 #s(literal -1 binary64) (neg.f64 x)))) (neg.f64 (.f64 (neg.f64 x) x)))
(/.f64 (neg.f64 (fma.f64 (neg.f64 (exp.f64 x)) x (.f64 (neg.f64 x) #s(literal -1 binary64)))) (neg.f64 (.f64 (neg.f64 x) x)))
(/.f64 (neg.f64 (-.f64 (.f64 (neg.f64 (exp.f64 x)) (neg.f64 x)) (.f64 (neg.f64 x) #s(literal -1 binary64)))) (*.f64 (neg.f64 x) x))
(/.f64 (neg.f64 (-.f64 (.f64 (neg.f64 (exp.f64 x)) x) (neg.f64 x))) (neg.f64 (.f64 (neg.f64 x) x)))
(/.f64 (neg.f64 (.f64 #s(literal 2 binary64) (fma.f64 (neg.f64 x) (exp.f64 x) x))) (neg.f64 (.f64 #s(literal 2 binary64) (*.f64 (neg.f64 x) x))))
(/.f64 (neg.f64 (.f64 #s(literal 2 binary64) (-.f64 (.f64 (exp.f64 x) x) x))) (neg.f64 (.f64 #s(literal 2 binary64) (.f64 x x))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (neg.f64 x) (exp.f64 x) x))) (neg.f64 (neg.f64 (*.f64 (neg.f64 x) x))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (.f64 (exp.f64 x) x) x))) (neg.f64 (.f64 (neg.f64 x) x)))
(/.f64 (neg.f64 (.f64 #s(literal 2 binary64) (neg.f64 (expm1.f64 x)))) (neg.f64 (.f64 #s(literal 2 binary64) (neg.f64 x))))
(/.f64 (neg.f64 (.f64 #s(literal 2 binary64) (expm1.f64 x))) (neg.f64 (.f64 #s(literal 2 binary64) x)))
(/.f64 (.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 x) (exp.f64 x) x)) (.f64 (neg.f64 x) x))
(/.f64 (.f64 #s(literal 1 binary64) (-.f64 (.f64 (exp.f64 x) x) x)) (*.f64 x x))
(/.f64 (*.f64 #s(literal 2 binary64) (/.f64 (expm1.f64 x) x)) #s(literal 2 binary64))
(/.f64 (/.f64 (fma.f64 (neg.f64 x) (exp.f64 x) x) x) (neg.f64 x))
(/.f64 (/.f64 (-.f64 (*.f64 (exp.f64 x) x) x) x) x)
(/.f64 (*.f64 (neg.f64 (expm1.f64 x)) #s(literal -1 binary64)) x)
(/.f64 (-.f64 (neg.f64 x) (.f64 (neg.f64 x) (exp.f64 x))) (.f64 x x))
(/.f64 (fma.f64 (neg.f64 (exp.f64 x)) x (.f64 #s(literal -1 binary64) (neg.f64 x))) (.f64 (neg.f64 x) x))
(/.f64 (-.f64 (.f64 (/.f64 (exp.f64 x) x) (/.f64 (exp.f64 x) x)) (.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal -1 binary64) x))) (-.f64 (/.f64 (exp.f64 x) x) (/.f64 #s(literal -1 binary64) x)))
(/.f64 (+.f64 (pow.f64 (/.f64 (exp.f64 x) x) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 3 binary64))) (fma.f64 (/.f64 (exp.f64 x) x) (/.f64 (exp.f64 x) x) (-.f64 (.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal -1 binary64) x)) (.f64 (/.f64 (exp.f64 x) x) (/.f64 #s(literal -1 binary64) x)))))
(/.f64 (fma.f64 (neg.f64 (exp.f64 x)) x (.f64 (neg.f64 x) #s(literal -1 binary64))) (.f64 (neg.f64 x) x))
(/.f64 (-.f64 (.f64 (neg.f64 (exp.f64 x)) (neg.f64 x)) (.f64 (neg.f64 x) #s(literal -1 binary64))) (*.f64 x x))
(/.f64 (-.f64 (.f64 (neg.f64 (exp.f64 x)) x) (neg.f64 x)) (.f64 (neg.f64 x) x))
(/.f64 (.f64 #s(literal 2 binary64) (fma.f64 (neg.f64 x) (exp.f64 x) x)) (.f64 #s(literal 2 binary64) (*.f64 (neg.f64 x) x)))
(/.f64 (.f64 #s(literal 2 binary64) (-.f64 (.f64 (exp.f64 x) x) x)) (.f64 #s(literal 2 binary64) (.f64 x x)))
(/.f64 (.f64 #s(literal 2 binary64) (neg.f64 (expm1.f64 x))) (.f64 #s(literal 2 binary64) (neg.f64 x)))
(/.f64 (.f64 #s(literal 2 binary64) (expm1.f64 x)) (.f64 #s(literal 2 binary64) x))
(/.f64 (neg.f64 (fma.f64 (neg.f64 x) (exp.f64 x) x)) (neg.f64 (*.f64 (neg.f64 x) x)))
(/.f64 (neg.f64 (-.f64 (.f64 (exp.f64 x) x) x)) (.f64 (neg.f64 x) x))
(/.f64 (-.f64 (.f64 (/.f64 (exp.f64 x) x) (/.f64 (exp.f64 x) x)) (.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x))) (+.f64 (/.f64 (exp.f64 x) x) (/.f64 #s(literal 1 binary64) x)))
(/.f64 (-.f64 (pow.f64 (/.f64 (exp.f64 x) x) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 3 binary64))) (fma.f64 (/.f64 (exp.f64 x) x) (/.f64 (exp.f64 x) x) (fma.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x) (*.f64 (/.f64 (exp.f64 x) x) (/.f64 #s(literal 1 binary64) x)))))
(/.f64 (fma.f64 (neg.f64 x) (exp.f64 x) x) (*.f64 (neg.f64 x) x))
(/.f64 (-.f64 (.f64 (exp.f64 x) x) x) (.f64 x x))
(/.f64 (neg.f64 (expm1.f64 x)) (neg.f64 x))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (neg.f64 x) x) (fma.f64 (neg.f64 x) (exp.f64 x) x)))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 x x) (-.f64 (.f64 (exp.f64 x) x) x)))
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 x) (neg.f64 (expm1.f64 x))))
(/.f64 #s(literal 1 binary64) (/.f64 x (expm1.f64 x)))
(/.f64 (expm1.f64 x) x)
(neg.f64 (*.f64 (/.f64 #s(literal -1 binary64) x) (expm1.f64 x)))
(neg.f64 (/.f64 (neg.f64 (expm1.f64 x)) x))
(fma.f64 (*.f64 (exp.f64 x) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal -1 binary64) x))
(fma.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1 binary64) (/.f64 (exp.f64 x) x))
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(neg.f64 (fma.f64 #s(literal -1/24 binary64) x #s(literal -1/6 binary64)))
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#s(literal 1/6 binary64)
(*.f64 #s(literal -1/24 binary64) (neg.f64 x))
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(*.f64 #s(literal 1/24 binary64) x)
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(neg.f64 (*.f64 #s(literal -1/24 binary64) x))
#s(literal 1/24 binary64)

eval560.0ms (26.0%)

Memory: -69.4MiB live, 127.3MiB allocated; 861ms collecting garbage
Compiler: Compiled 13 066 to 2 371 computations (81.9% saved)

prune22.0ms (1.0%)

Memory

-37.0MiB live, 32.6MiB allocated; 14ms collecting garbage

Pruning

8 alts after pruning (5 fresh and 3 done)

	Pruned	Kept	Total
New	693	5	698
Fresh	1	0	1
Picked	2	3	5
Done	0	0	0
Total	696	8	704

Accuracy

100.0%

Counts

704 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(/.f64 (expm1.f64 x) x)
▶	23.5%	(.f64 (fma.f64 (neg.f64 x) (exp.f64 x) x) (/.f64 #s(literal -1 binary64) (.f64 x x)))
✓	99.9%	(*.f64 (/.f64 #s(literal 1 binary64) x) (expm1.f64 x))
▶	54.1%	(*.f64 (/.f64 #s(literal 1 binary64) x) #s(approx (- (exp x) 1) x))
▶	71.5%	#s(approx (/ (- (exp x) 1) x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)))
▶	54.5%	#s(approx (/ (- (exp x) 1) x) (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)))
▶	54.4%	#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)))))
✓	54.2%	#s(approx (/ (- (exp x) 1) x) #s(literal 1 binary64))

Compiler

Compiled 158 to 121 computations (23.4% saved)

sample0.0ms (0.0%)

Memory

0.5MiB live, 0.5MiB allocated; 0ms collecting garbage

Calls

Call 1

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

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

Samples

0.0ms

1×

valid

Compiler

Compiled 7 to 7 computations (0.0% saved)

Precisions

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

adjust: 0.0ms (0.0% of total)

series16.0ms (0.7%)

Memory

27.8MiB live, 27.8MiB allocated; 0ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	153	642

Stop Event

1×	iter-limit

Counts

25 → 45

Calls

Call 1

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

Calls

3 calls:

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

rewrite109.0ms (5.0%)

Memory

-33.3MiB live, 153.3MiB allocated; 22ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	30	153
0	49	148
1	249	138
2	814	133
0	4267	120

Stop Event

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

Counts

25 → 656

Calls

Call 1

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

Outputs
#s(approx (/ (- (exp x) 1) x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)))
(.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (fma.f64 (fma.f64 #s(literal -1/24 binary64) x #s(literal -1/6 binary64)) x #s(literal -1/2 binary64)) x) #s(literal 1 binary64))) #s(literal 1 binary64))
(.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #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 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x))) (*.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x))
(.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x))) (*.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x))
(*.f64 x (+.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) x)))
(*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64))))
(*.f64 x (-.f64 (/.f64 #s(literal 1 binary64) x) (fma.f64 (fma.f64 #s(literal -1/24 binary64) x #s(literal -1/6 binary64)) x #s(literal -1/2 binary64))))
(/.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x) (neg.f64 x) (neg.f64 x)) (neg.f64 x))
(/.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x) #s(literal 2 binary64) #s(literal 2 binary64)) #s(literal 2 binary64))
(/.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x) x x) x)
(/.f64 (-.f64 (.f64 #s(literal 1 binary64) #s(literal 1 binary64)) (.f64 (.f64 (fma.f64 (fma.f64 #s(literal -1/24 binary64) x #s(literal -1/6 binary64)) x #s(literal -1/2 binary64)) x) (.f64 (fma.f64 (fma.f64 #s(literal -1/24 binary64) x #s(literal -1/6 binary64)) x #s(literal -1/2 binary64)) x))) (+.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (fma.f64 #s(literal -1/24 binary64) x #s(literal -1/6 binary64)) x #s(literal -1/2 binary64)) x)))
(/.f64 (-.f64 (pow.f64 #s(literal 1 binary64) #s(literal 3 binary64)) (pow.f64 (.f64 (fma.f64 (fma.f64 #s(literal -1/24 binary64) x #s(literal -1/6 binary64)) x #s(literal -1/2 binary64)) x) #s(literal 3 binary64))) (fma.f64 #s(literal 1 binary64) #s(literal 1 binary64) (fma.f64 (.f64 (fma.f64 (fma.f64 #s(literal -1/24 binary64) x #s(literal -1/6 binary64)) x #s(literal -1/2 binary64)) x) (.f64 (fma.f64 (fma.f64 #s(literal -1/24 binary64) x #s(literal -1/6 binary64)) x #s(literal -1/2 binary64)) x) (.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (fma.f64 #s(literal -1/24 binary64) x #s(literal -1/6 binary64)) x #s(literal -1/2 binary64)) x)))))
(/.f64 (-.f64 (.f64 #s(literal 1 binary64) #s(literal 1 binary64)) (.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x) (.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x))) (-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x)))
(/.f64 (-.f64 (.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x) (.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x)) (.f64 #s(literal -1 binary64) #s(literal -1 binary64))) (+.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #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 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x) #s(literal 3 binary64))) (fma.f64 #s(literal 1 binary64) #s(literal 1 binary64) (-.f64 (.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x) (.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x)) (.f64 #s(literal 1 binary64) (.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x)))))
(/.f64 (-.f64 (pow.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x) #s(literal 3 binary64)) (pow.f64 #s(literal -1 binary64) #s(literal 3 binary64))) (fma.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x) (.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x) (fma.f64 #s(literal -1 binary64) #s(literal -1 binary64) (.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x) #s(literal -1 binary64)))))
(/.f64 (-.f64 (.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x) (.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x)) (.f64 #s(literal 1 binary64) #s(literal 1 binary64))) (-.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x) #s(literal 1 binary64)))
(/.f64 (+.f64 (pow.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x) #s(literal 3 binary64)) (pow.f64 #s(literal 1 binary64) #s(literal 3 binary64))) (fma.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x) (.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x) (-.f64 (.f64 #s(literal 1 binary64) #s(literal 1 binary64)) (.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x) #s(literal 1 binary64)))))
(neg.f64 (-.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/24 binary64) x #s(literal -1/6 binary64)) x #s(literal -1/2 binary64)) x) #s(literal 1 binary64)))
(neg.f64 (-.f64 #s(literal -1 binary64) (*.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x)))
(fma.f64 #s(literal -1/2 binary64) (neg.f64 x) (-.f64 (.f64 (.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x) x) #s(literal -1 binary64)))
(fma.f64 (*.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x) x (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)))
(fma.f64 (*.f64 x x) (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)))
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(neg.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)))
(fma.f64 (.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal 0 binary64) (.f64 (neg.f64 x) x)))
(fma.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (neg.f64 (fabs.f64 x))) (/.f64 x (fabs.f64 x)) (/.f64 #s(literal 0 binary64) (*.f64 (neg.f64 x) x)))
(fma.f64 (/.f64 x (neg.f64 (fabs.f64 x))) (/.f64 (/.f64 #s(literal 1 binary64) x) (fabs.f64 x)) (/.f64 #s(literal 0 binary64) (*.f64 (neg.f64 x) x)))
(fma.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (fabs.f64 x)) (/.f64 x (neg.f64 (fabs.f64 x))) (/.f64 #s(literal 0 binary64) (*.f64 (neg.f64 x) x)))
(fma.f64 (/.f64 x (fabs.f64 x)) (/.f64 (/.f64 #s(literal 1 binary64) x) (neg.f64 (fabs.f64 x))) (/.f64 #s(literal 0 binary64) (*.f64 (neg.f64 x) x)))
(fma.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 #s(literal -1 binary64) (fabs.f64 x)) (/.f64 #s(literal 0 binary64) (*.f64 (neg.f64 x) x)))
(fma.f64 (/.f64 #s(literal -1 binary64) (fabs.f64 x)) (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 #s(literal 0 binary64) (*.f64 (neg.f64 x) x)))
(fma.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 0 binary64) (*.f64 (neg.f64 x) x)))
(fma.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) #s(literal -1 binary64) (/.f64 #s(literal 0 binary64) (.f64 (neg.f64 x) x)))
(fma.f64 (/.f64 #s(literal -1 binary64) (.f64 x x)) #s(literal 1 binary64) (/.f64 #s(literal 0 binary64) (.f64 (neg.f64 x) x)))
(fma.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (.f64 x x)) (/.f64 #s(literal 0 binary64) (.f64 (neg.f64 x) x)))
(fma.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal 0 binary64) (*.f64 (neg.f64 x) x)))
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (.f64 x x)) (/.f64 #s(literal 0 binary64) (.f64 (neg.f64 x) x)))
(fma.f64 x (.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal -1 binary64) (.f64 x x))) (/.f64 #s(literal 0 binary64) (*.f64 (neg.f64 x) x)))
(fma.f64 x (/.f64 (/.f64 #s(literal 1 binary64) x) (.f64 (neg.f64 x) x)) (/.f64 #s(literal 0 binary64) (.f64 (neg.f64 x) x)))
(exp.f64 (.f64 (log.f64 (.f64 (neg.f64 x) x)) #s(literal -1 binary64)))
(+.f64 (/.f64 #s(literal -1 binary64) (.f64 x x)) (/.f64 #s(literal 0 binary64) (.f64 (neg.f64 x) x)))
#s(literal -1 binary64)
(*.f64 (pow.f64 (fabs.f64 x) (/.f64 #s(literal 2 binary64) #s(literal 2 binary64))) (pow.f64 (fabs.f64 x) (/.f64 #s(literal 2 binary64) #s(literal 2 binary64))))
(*.f64 (pow.f64 (neg.f64 x) (/.f64 #s(literal 2 binary64) #s(literal 2 binary64))) (pow.f64 (neg.f64 x) (/.f64 #s(literal 2 binary64) #s(literal 2 binary64))))
(*.f64 (neg.f64 (neg.f64 (fabs.f64 x))) (neg.f64 (neg.f64 (fabs.f64 x))))
(*.f64 (neg.f64 (neg.f64 (fabs.f64 x))) (fabs.f64 x))
(*.f64 (pow.f64 (fabs.f64 x) #s(literal 1 binary64)) (pow.f64 (fabs.f64 x) #s(literal 1 binary64)))
(*.f64 (pow.f64 (fabs.f64 x) #s(literal 1 binary64)) (fabs.f64 x))
(*.f64 (pow.f64 (neg.f64 x) #s(literal 1 binary64)) (pow.f64 (neg.f64 x) #s(literal 1 binary64)))
(*.f64 (pow.f64 (neg.f64 x) #s(literal 1 binary64)) (neg.f64 x))
(*.f64 (pow.f64 x (/.f64 #s(literal 2 binary64) #s(literal 2 binary64))) (pow.f64 x (/.f64 #s(literal 2 binary64) #s(literal 2 binary64))))
(*.f64 (neg.f64 (fabs.f64 x)) (neg.f64 (fabs.f64 x)))
(*.f64 (pow.f64 x #s(literal 1 binary64)) (pow.f64 x #s(literal 1 binary64)))
(*.f64 (pow.f64 x #s(literal 1 binary64)) x)
(*.f64 (fabs.f64 x) (neg.f64 (neg.f64 (fabs.f64 x))))
(*.f64 (fabs.f64 x) (fabs.f64 x))
(*.f64 (neg.f64 x) (neg.f64 x))
(*.f64 x x)
(pow.f64 (neg.f64 (fabs.f64 x)) #s(literal 2 binary64))
(pow.f64 (fabs.f64 x) #s(literal 2 binary64))
(pow.f64 (*.f64 x x) #s(literal 1 binary64))
(pow.f64 (neg.f64 x) #s(literal 2 binary64))
(pow.f64 x #s(literal 2 binary64))
(neg.f64 (*.f64 (neg.f64 x) x))
(sqrt.f64 (.f64 (.f64 x x) (*.f64 x x)))
(fabs.f64 (*.f64 (neg.f64 x) x))
(fabs.f64 (*.f64 x x))
(exp.f64 (*.f64 (log.f64 (fabs.f64 x)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (neg.f64 x)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)))

eval70.0ms (3.2%)

Memory: 27.6MiB live, 124.4MiB allocated; 11ms collecting garbage
Compiler: Compiled 13 298 to 2 239 computations (83.2% saved)

prune15.0ms (0.7%)

Memory

-17.3MiB live, 29.2MiB allocated; 3ms collecting garbage

Pruning

11 alts after pruning (4 fresh and 7 done)

	Pruned	Kept	Total
New	685	4	689
Fresh	0	0	0
Picked	1	4	5
Done	0	3	3
Total	686	11	697

Accuracy

100.0%

Counts

697 → 11

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(/.f64 (expm1.f64 x) x)
▶	31.9%	(.f64 (/.f64 x (.f64 x x)) #s(approx (- (exp x) 1) x))
▶	50.3%	(.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (*.f64 x (expm1.f64 x)))
✓	99.9%	(*.f64 (/.f64 #s(literal 1 binary64) x) (expm1.f64 x))
✓	54.1%	(*.f64 (/.f64 #s(literal 1 binary64) x) #s(approx (- (exp x) 1) x))
✓	71.5%	#s(approx (/ (- (exp x) 1) x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)))
▶	68.5%	#s(approx (/ (- (exp x) 1) x) (fma.f64 (fma.f64 #s(approx (+ (* 1/24 x) 1/6) #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)))
✓	54.5%	#s(approx (/ (- (exp x) 1) x) (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)))
▶	3.9%	#s(approx (/ (- (exp x) 1) x) #s(approx (+ (* x 1/2) 1) (*.f64 #s(literal 1/2 binary64) x)))
✓	54.4%	#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)))))
✓	54.2%	#s(approx (/ (- (exp x) 1) x) #s(literal 1 binary64))

Compiler

Compiled 134 to 103 computations (23.1% saved)

sample0.0ms (0.0%)

Memory

0.4MiB live, 0.4MiB allocated; 0ms collecting garbage

Calls

Call 1

Inputs
1/2
1/6
1

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

Samples

0.0ms

1×

valid

Compiler

Compiled 5 to 5 computations (0.0% saved)

Precisions

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

adjust: 0.0ms (0.0% of total)

series11.0ms (0.5%)

Memory

23.7MiB live, 23.7MiB allocated; 0ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	112	514

Stop Event

1×	iter-limit

Counts

19 → 35

Calls

Call 1

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

Calls

3 calls:

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

rewrite119.0ms (5.5%)

Memory

-10.0MiB live, 131.3MiB allocated; 13ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	27	121
0	40	121
1	176	109
2	630	107
3	3489	107
0	4002	101

Stop Event

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

Counts

19 → 748

Calls

Call 1

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

Outputs
#s(approx (/ (- (exp x) 1) x) #s(approx (+ (* x 1/2) 1) (*.f64 #s(literal 1/2 binary64) x)))
#s(approx (+ (* x 1/2) 1) (*.f64 #s(literal 1/2 binary64) x))
(*.f64 #s(literal 1/2 binary64) x)
(*.f64 x #s(literal 1/2 binary64))
(neg.f64 (*.f64 #s(literal -1/2 binary64) x))
#s(literal 1/2 binary64)
x
#s(approx (/ (- (exp x) 1) x) (fma.f64 (fma.f64 #s(approx (+ (* 1/24 x) 1/6) #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)))
(.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (-.f64 #s(literal -1/2 binary64) (.f64 #s(approx (+ ( 1/24 x) 1/6) #s(literal 1/6 binary64)) x)) x) #s(literal 1 binary64))) #s(literal 1 binary64))
(.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (fma.f64 #s(approx (+ (* 1/24 x) 1/6) #s(literal 1/6 binary64)) x #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 (fma.f64 #s(approx (+ (* 1/24 x) 1/6) #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x))) (.f64 (fma.f64 #s(approx (+ ( 1/24 x) 1/6) #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x))
(.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 (fma.f64 #s(approx (+ (* 1/24 x) 1/6) #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x))) (.f64 (fma.f64 #s(approx (+ ( 1/24 x) 1/6) #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x))
(.f64 x (+.f64 (fma.f64 #s(approx (+ ( 1/24 x) 1/6) #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) x)))
(.f64 x (+.f64 (/.f64 #s(literal 1 binary64) x) (fma.f64 #s(approx (+ ( 1/24 x) 1/6) #s(literal 1/6 binary64)) x #s(literal 1/2 binary64))))
(/.f64 (fma.f64 (.f64 (fma.f64 #s(approx (+ ( 1/24 x) 1/6) #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x) (neg.f64 x) (neg.f64 x)) (neg.f64 x))
(/.f64 (fma.f64 (.f64 (fma.f64 #s(approx (+ ( 1/24 x) 1/6) #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x) #s(literal 2 binary64) #s(literal 2 binary64)) #s(literal 2 binary64))
(/.f64 (fma.f64 (.f64 (fma.f64 #s(approx (+ ( 1/24 x) 1/6) #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x) x x) x)
(/.f64 (-.f64 (.f64 #s(literal 1 binary64) #s(literal 1 binary64)) (.f64 (.f64 (-.f64 #s(literal -1/2 binary64) (.f64 #s(approx (+ (* 1/24 x) 1/6) #s(literal 1/6 binary64)) x)) x) (.f64 (-.f64 #s(literal -1/2 binary64) (.f64 #s(approx (+ (* 1/24 x) 1/6) #s(literal 1/6 binary64)) x)) x))) (+.f64 #s(literal 1 binary64) (.f64 (-.f64 #s(literal -1/2 binary64) (.f64 #s(approx (+ (* 1/24 x) 1/6) #s(literal 1/6 binary64)) x)) x)))
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(/.f64 (*.f64 #s(literal -1 binary64) #s(approx (- (exp x) 1) x)) (neg.f64 x))
(/.f64 (.f64 #s(literal 2 binary64) #s(approx (- (exp x) 1) x)) (.f64 #s(literal 2 binary64) x))
(/.f64 (neg.f64 (*.f64 #s(approx (- (exp x) 1) x) (copysign.f64 #s(literal 1 binary64) x))) (neg.f64 (fabs.f64 x)))
(/.f64 (neg.f64 (.f64 (neg.f64 x) #s(approx (- (exp x) 1) x))) (.f64 x x))
(/.f64 (*.f64 #s(approx (- (exp x) 1) x) (copysign.f64 #s(literal 1 binary64) x)) (fabs.f64 x))
(/.f64 (neg.f64 #s(approx (- (exp x) 1) x)) (neg.f64 x))
(/.f64 (.f64 (neg.f64 x) #s(approx (- (exp x) 1) x)) (.f64 (neg.f64 x) x))
(/.f64 (.f64 #s(approx (- (exp x) 1) x) x) (.f64 x x))
(/.f64 #s(approx (- (exp x) 1) x) x)
(/.f64 #s(literal 1 binary64) (/.f64 x #s(approx (- (exp x) 1) x)))
(/.f64 #s(literal 1 binary64) (/.f64 (fabs.f64 x) (*.f64 #s(approx (- (exp x) 1) x) (copysign.f64 #s(literal 1 binary64) x))))
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 x) (neg.f64 #s(approx (- (exp x) 1) x))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (neg.f64 x) x) (.f64 (neg.f64 x) #s(approx (- (exp x) 1) x))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 x x) (.f64 #s(approx (- (exp x) 1) x) x)))
(neg.f64 (*.f64 (/.f64 #s(literal -1 binary64) x) #s(approx (- (exp x) 1) x)))
(neg.f64 (*.f64 #s(literal -1 binary64) (/.f64 #s(approx (- (exp x) 1) x) x)))
(neg.f64 (.f64 (.f64 #s(approx (- (exp x) 1) x) x) (/.f64 #s(literal -1 binary64) (*.f64 x x))))
(neg.f64 (/.f64 (.f64 (neg.f64 x) #s(approx (- (exp x) 1) x)) (.f64 x x)))
(neg.f64 (/.f64 (.f64 #s(approx (- (exp x) 1) x) x) (.f64 (neg.f64 x) x)))
(neg.f64 (/.f64 #s(approx (- (exp x) 1) x) (neg.f64 x)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) x))
(*.f64 (pow.f64 x (/.f64 #s(literal -1 binary64) #s(literal 2 binary64))) (pow.f64 x (/.f64 #s(literal -1 binary64) #s(literal 2 binary64))))
(*.f64 (/.f64 #s(literal -1 binary64) (fabs.f64 x)) (/.f64 x (neg.f64 (fabs.f64 x))))
(*.f64 (/.f64 #s(literal 1 binary64) (neg.f64 (fabs.f64 x))) (/.f64 x (neg.f64 (fabs.f64 x))))
(*.f64 (/.f64 x (neg.f64 (fabs.f64 x))) (/.f64 #s(literal -1 binary64) (fabs.f64 x)))
(*.f64 (/.f64 x (neg.f64 (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (neg.f64 (fabs.f64 x))))
(.f64 (/.f64 #s(literal -1 binary64) (.f64 x x)) (neg.f64 x))
(*.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (copysign.f64 #s(literal 1 binary64) x))
(*.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64))
(*.f64 (copysign.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (fabs.f64 x)))
(*.f64 (/.f64 #s(literal 1 binary64) x) (pow.f64 x #s(literal 0 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) x) (pow.f64 #s(literal 1 binary64) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))
(.f64 (neg.f64 x) (/.f64 #s(literal -1 binary64) (.f64 x x)))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x))
(.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)))
(.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (pow.f64 x #s(literal 1 binary64)))
(.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) x)
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))
(.f64 x (/.f64 #s(literal 1 binary64) (.f64 x x)))
(pow.f64 x #s(literal -1 binary64))
(/.f64 (/.f64 (neg.f64 x) (fabs.f64 x)) (neg.f64 (fabs.f64 x)))
(/.f64 (/.f64 x (neg.f64 (fabs.f64 x))) (neg.f64 (fabs.f64 x)))
(/.f64 (*.f64 #s(literal 1 binary64) (copysign.f64 #s(literal 1 binary64) x)) (fabs.f64 x))
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) x) (fabs.f64 x))
(/.f64 (*.f64 (/.f64 #s(literal -1 binary64) x) x) (neg.f64 x))
(/.f64 (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))
(/.f64 (.f64 (neg.f64 x) (copysign.f64 #s(literal 1 binary64) x)) (.f64 (neg.f64 x) (fabs.f64 x)))
(/.f64 (.f64 (neg.f64 x) #s(literal -1 binary64)) (.f64 x x))
(/.f64 (.f64 (neg.f64 x) #s(literal 1 binary64)) (.f64 (neg.f64 x) x))
(/.f64 (.f64 #s(literal 2 binary64) (copysign.f64 #s(literal 1 binary64) x)) (.f64 #s(literal 2 binary64) (fabs.f64 x)))
(/.f64 (.f64 #s(literal 2 binary64) (neg.f64 x)) (.f64 #s(literal 2 binary64) (*.f64 (neg.f64 x) x)))
(/.f64 (.f64 #s(literal 2 binary64) x) (.f64 #s(literal 2 binary64) (*.f64 x x)))
(/.f64 (.f64 x (copysign.f64 #s(literal 1 binary64) x)) (.f64 x (fabs.f64 x)))
(/.f64 (neg.f64 (copysign.f64 #s(literal 1 binary64) x)) (neg.f64 (fabs.f64 x)))
(/.f64 (copysign.f64 #s(literal 1 binary64) x) (fabs.f64 x))
(/.f64 #s(literal -2 binary64) (*.f64 #s(literal 2 binary64) (neg.f64 x)))
(/.f64 (.f64 (neg.f64 x) x) (.f64 (neg.f64 x) (*.f64 x x)))
(/.f64 (.f64 (neg.f64 x) x) (.f64 x (*.f64 (neg.f64 x) x)))
(/.f64 (neg.f64 x) (*.f64 (neg.f64 x) x))
(/.f64 #s(literal -1 binary64) (neg.f64 x))
(/.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) x))
(/.f64 (.f64 x x) (.f64 (neg.f64 x) (*.f64 (neg.f64 x) x)))
(/.f64 (.f64 x x) (.f64 x (*.f64 x x)))
(/.f64 #s(literal 1 binary64) (/.f64 (fabs.f64 x) (copysign.f64 #s(literal 1 binary64) x)))
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 x) #s(literal -1 binary64)))
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (neg.f64 x) x) (neg.f64 x)))
(/.f64 #s(literal 1 binary64) (/.f64 x #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x x) x))
(/.f64 #s(literal 1 binary64) x)
(/.f64 x (*.f64 x x))
(neg.f64 (/.f64 #s(literal -1 binary64) x))
(fma.f64 (/.f64 #s(literal -1 binary64) (fabs.f64 x)) (/.f64 x (neg.f64 (fabs.f64 x))) (/.f64 #s(literal 0 binary64) x))
(fma.f64 (/.f64 #s(literal 1 binary64) (neg.f64 (fabs.f64 x))) (/.f64 x (neg.f64 (fabs.f64 x))) (/.f64 #s(literal 0 binary64) x))
(fma.f64 (/.f64 x (neg.f64 (fabs.f64 x))) (/.f64 #s(literal -1 binary64) (fabs.f64 x)) (/.f64 #s(literal 0 binary64) x))
(fma.f64 (/.f64 x (neg.f64 (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (neg.f64 (fabs.f64 x))) (/.f64 #s(literal 0 binary64) x))
(fma.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) (neg.f64 x) (/.f64 #s(literal 0 binary64) x))
(fma.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (copysign.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) x))
(fma.f64 (copysign.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 #s(literal 0 binary64) x))
(fma.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64) (/.f64 #s(literal 0 binary64) x))
(fma.f64 (neg.f64 x) (/.f64 #s(literal -1 binary64) (*.f64 x x)) (/.f64 #s(literal 0 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) (*.f64 x x)) x (/.f64 #s(literal 0 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) x))
(exp.f64 (*.f64 (log.f64 x) #s(literal -1 binary64)))
(+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 0 binary64) x))
(.f64 (.f64 #s(approx (- (exp x) 1) x) x) (/.f64 #s(literal 1 binary64) x))
(*.f64 #s(approx (- (exp x) 1) x) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) #s(approx (- (exp x) 1) x))
(*.f64 x (/.f64 #s(approx (- (exp x) 1) x) x))
#s(approx (- (exp x) 1) x)
(/.f64 (*.f64 #s(approx (- (exp x) 1) x) #s(literal 2 binary64)) #s(literal 2 binary64))
(/.f64 (*.f64 #s(literal 2 binary64) #s(approx (- (exp x) 1) x)) #s(literal 2 binary64))
(/.f64 (*.f64 (neg.f64 x) #s(approx (- (exp x) 1) x)) (neg.f64 x))
(/.f64 (*.f64 #s(approx (- (exp x) 1) x) x) x)
(/.f64 #s(literal 1 binary64) (/.f64 x (*.f64 #s(approx (- (exp x) 1) x) x)))
(neg.f64 (*.f64 #s(literal -1 binary64) #s(approx (- (exp x) 1) x)))
(neg.f64 (neg.f64 #s(approx (- (exp x) 1) x)))
(fma.f64 (.f64 #s(approx (- (exp x) 1) x) x) (/.f64 #s(literal 1 binary64) x) (.f64 #s(approx (- (exp x) 1) x) #s(literal 0 binary64)))
(fma.f64 (.f64 #s(approx (- (exp x) 1) x) x) (/.f64 #s(literal 1 binary64) x) (.f64 #s(literal 0 binary64) #s(approx (- (exp x) 1) x)))
(fma.f64 #s(approx (- (exp x) 1) x) #s(literal 1 binary64) (*.f64 #s(approx (- (exp x) 1) x) #s(literal 0 binary64)))
(fma.f64 #s(approx (- (exp x) 1) x) #s(literal 1 binary64) (*.f64 #s(literal 0 binary64) #s(approx (- (exp x) 1) x)))
(fma.f64 #s(literal 1 binary64) #s(approx (- (exp x) 1) x) (*.f64 #s(approx (- (exp x) 1) x) #s(literal 0 binary64)))
(fma.f64 #s(literal 1 binary64) #s(approx (- (exp x) 1) x) (*.f64 #s(literal 0 binary64) #s(approx (- (exp x) 1) x)))
(fma.f64 x (/.f64 #s(approx (- (exp x) 1) x) x) (*.f64 #s(approx (- (exp x) 1) x) #s(literal 0 binary64)))
(fma.f64 x (/.f64 #s(approx (- (exp x) 1) x) x) (*.f64 #s(literal 0 binary64) #s(approx (- (exp x) 1) x)))
(+.f64 #s(approx (- (exp x) 1) x) (*.f64 #s(approx (- (exp x) 1) x) #s(literal 0 binary64)))
(+.f64 #s(approx (- (exp x) 1) x) (*.f64 #s(literal 0 binary64) #s(approx (- (exp x) 1) x)))

eval79.0ms (3.7%)

Memory: 3.1MiB live, 142.4MiB allocated; 27ms collecting garbage
Compiler: Compiled 14 216 to 2 279 computations (84.0% saved)

prune19.0ms (0.9%)

Memory

-9.7MiB live, 36.0MiB allocated; 6ms collecting garbage

Pruning

11 alts after pruning (0 fresh and 11 done)

	Pruned	Kept	Total
New	818	0	818
Fresh	0	0	0
Picked	0	4	4
Done	0	7	7
Total	818	11	829

Accuracy

100.0%

Counts

829 → 11

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(/.f64 (expm1.f64 x) x)
✓	31.9%	(.f64 (/.f64 x (.f64 x x)) #s(approx (- (exp x) 1) x))
✓	50.3%	(.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (*.f64 x (expm1.f64 x)))
✓	99.9%	(*.f64 (/.f64 #s(literal 1 binary64) x) (expm1.f64 x))
✓	54.1%	(*.f64 (/.f64 #s(literal 1 binary64) x) #s(approx (- (exp x) 1) x))
✓	71.5%	#s(approx (/ (- (exp x) 1) x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)))
✓	68.5%	#s(approx (/ (- (exp x) 1) x) (fma.f64 (fma.f64 #s(approx (+ (* 1/24 x) 1/6) #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)))
✓	54.5%	#s(approx (/ (- (exp x) 1) x) (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)))
✓	3.9%	#s(approx (/ (- (exp x) 1) x) #s(approx (+ (* x 1/2) 1) (*.f64 #s(literal 1/2 binary64) x)))
✓	54.4%	#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)))))
✓	54.2%	#s(approx (/ (- (exp x) 1) x) #s(literal 1 binary64))

Compiler

Compiled 134 to 103 computations (23.1% saved)

regimes31.0ms (1.4%)

Memory

12.1MiB live, 57.5MiB allocated; 4ms collecting garbage

Counts

2 → 1

7 → 1

8 → 1

16 → 1

Calls

Call 1

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

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

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

Call 4

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

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

Calls

8 calls:

6.0ms	(/.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) x)
5.0ms	x
4.0ms	(/.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) x)
3.0ms	x
3.0ms	x

Results

Accuracy	Segments	Branch
54.2%	1	`(/.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) x)`
54.2%	1	`x`
54.5%	1	`x`
54.5%	1	`(/.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) x)`
68.5%	1	`(/.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) x)`
68.5%	1	`x`
100.0%	1	`(/.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) x)`
100.0%	1	`x`

Compiler

Compiled 227 to 96 computations (57.7% saved)

derivations46.0ms (2.1%)

Memory

10.5MiB live, 55.6MiB allocated; 6ms collecting garbage

Stop Event

1×

done

Compiler

Compiled 43 to 21 computations (51.2% saved)

preprocess44.0ms (2.0%)

Memory: -3.0MiB live, 62.7MiB allocated; 38ms collecting garbage
Compiler: Compiled 71 to 38 computations (46.5% saved)

end0.0ms (0.0%)

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

start0.0ms (0.0%)

analyze1.0ms (0.1%)

sample568.0ms (26.4%)

preprocess73.0ms (3.4%)

sample0.0ms (0.0%)

series11.0ms (0.5%)

rewrite140.0ms (6.5%)

eval53.0ms (2.5%)

prune21.0ms (1.0%)

sample0.0ms (0.0%)

series12.0ms (0.5%)

rewrite135.0ms (6.3%)

eval560.0ms (26.0%)

prune22.0ms (1.0%)

sample0.0ms (0.0%)

series16.0ms (0.7%)

rewrite109.0ms (5.0%)

eval70.0ms (3.2%)

prune15.0ms (0.7%)

sample0.0ms (0.0%)

series11.0ms (0.5%)

rewrite119.0ms (5.5%)

eval79.0ms (3.7%)

prune19.0ms (0.9%)

regimes31.0ms (1.4%)

derivations46.0ms (2.1%)

preprocess44.0ms (2.0%)

end0.0ms (0.0%)

Profiling