Metrics for Kahan's exp quotient

start0.0ms (0%)

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

analyze1.0ms (0%)

Memory

2.4MiB live, 2.4MiB allocated; 0ms collecting garbage

Algorithm

1×

Search

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

Compiler

Compiled 8 to 5 computations (37.5% saved)

sample519.0ms (11.7%)

Memory

-36.5MiB live, 485.2MiB allocated; 111ms collecting garbage

Samples

359.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 188.0ms

ival-expm1: 107.0ms (56.8% of total)

ival-div!: 80.0ms (42.5% of total)

adjust: 2.0ms (1.1% of total)

Bogosity

preprocess39.0ms (0.9%)

Memory

33.7MiB live, 33.7MiB allocated; 0ms 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
▶	51.8%	(/.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) x)

Compiler

Compiled 12 to 10 computations (16.7% saved)

series87.0ms (2%)

Memory

1.1MiB live, 48.0MiB allocated; 14ms collecting garbage

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

rewrite1.4s (31%)

Memory

-1.4MiB live, 1 200.8MiB allocated; 331ms collecting garbage

Counts

5 → 1 139

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) x) (expm1.f64 x))
(*.f64 (expm1.f64 x) (/.f64 #s(literal 1 binary64) x))
(*.f64 (/.f64 (expm1.f64 x) x) #s(literal 1 binary64))
(.f64 (.f64 x (expm1.f64 x)) (/.f64 #s(literal 1 binary64) (*.f64 x x)))
(*.f64 (/.f64 (expm1.f64 x) (+.f64 x x)) #s(literal 2 binary64))
(*.f64 (neg.f64 (expm1.f64 x)) (/.f64 #s(literal -1 binary64) x))
(*.f64 #s(literal 1 binary64) (/.f64 (expm1.f64 x) x))
(*.f64 #s(literal -1 binary64) (/.f64 (expm1.f64 x) (neg.f64 x)))
(*.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 (expm1.f64 x)))
(.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (*.f64 x (expm1.f64 x)))
(.f64 (.f64 #s(literal 1 binary64) (.f64 x (expm1.f64 x))) (/.f64 #s(literal 1 binary64) (.f64 x x)))
(.f64 (.f64 x (neg.f64 (expm1.f64 x))) (/.f64 #s(literal 1 binary64) (neg.f64 (*.f64 x x))))
(.f64 #s(literal 2 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 (expm1.f64 x) x)))
(+.f64 (/.f64 (cosh.f64 x) x) (/.f64 (-.f64 (sinh.f64 x) #s(literal 1 binary64)) x))
(+.f64 (/.f64 (sinh.f64 x) x) (+.f64 (/.f64 (cosh.f64 x) x) (/.f64 #s(literal -1 binary64) x)))
(+.f64 (/.f64 (exp.f64 x) x) (/.f64 #s(literal -1 binary64) x))
(+.f64 (/.f64 (expm1.f64 x) x) (*.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 0 binary64)))
(+.f64 (/.f64 (expm1.f64 x) x) (*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 0 binary64)))
(+.f64 (/.f64 (expm1.f64 x) x) #s(literal 0 binary64))
(+.f64 (/.f64 (-.f64 (sinh.f64 x) #s(literal 1 binary64)) x) (/.f64 (cosh.f64 x) x))
(+.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 (exp.f64 x) x))
(+.f64 (.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 (cosh.f64 x))) (.f64 (/.f64 #s(literal -1 binary64) x) (-.f64 #s(literal 1 binary64) (sinh.f64 x))))
(+.f64 (.f64 (/.f64 #s(literal -1 binary64) x) (-.f64 #s(literal 1 binary64) (cosh.f64 x))) (.f64 (/.f64 #s(literal -1 binary64) x) (sinh.f64 (neg.f64 x))))
(+.f64 (/.f64 (-.f64 (cosh.f64 x) #s(literal 1 binary64)) x) (/.f64 (sinh.f64 x) x))
(+.f64 (*.f64 (-.f64 (cosh.f64 x) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) x)) (/.f64 (sinh.f64 x) x))
(+.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (-.f64 (cosh.f64 x) #s(literal 1 binary64))) (/.f64 (sinh.f64 x) x))
(+.f64 (/.f64 #s(literal -1 binary64) x) (-.f64 #s(literal 0 binary64) (/.f64 (exp.f64 x) (neg.f64 x))))
(+.f64 (/.f64 #s(literal -1 binary64) x) (+.f64 #s(literal 0 binary64) (/.f64 (exp.f64 x) x)))
(+.f64 (/.f64 (expm1.f64 x) x) (*.f64 #s(literal 0 binary64) (neg.f64 (expm1.f64 x))))
(+.f64 (/.f64 (expm1.f64 x) x) (*.f64 (neg.f64 (expm1.f64 x)) #s(literal 0 binary64)))
(+.f64 (/.f64 (sinh.f64 x) x) (/.f64 (-.f64 (cosh.f64 x) #s(literal 1 binary64)) x))
(+.f64 (/.f64 (sinh.f64 x) x) (*.f64 (-.f64 (cosh.f64 x) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) x)))
(+.f64 (/.f64 (sinh.f64 x) x) (*.f64 (/.f64 #s(literal 1 binary64) x) (-.f64 (cosh.f64 x) #s(literal 1 binary64))))
(+.f64 (/.f64 (sinh.f64 x) x) (-.f64 (/.f64 (cosh.f64 x) x) (/.f64 #s(literal 1 binary64) x)))
(+.f64 (/.f64 (cosh.f64 x) x) (*.f64 (-.f64 #s(literal 1 binary64) (sinh.f64 x)) (/.f64 #s(literal -1 binary64) x)))
(-.f64 (/.f64 (exp.f64 x) x) (/.f64 #s(literal 1 binary64) x))
(-.f64 (/.f64 (-.f64 (sinh.f64 x) #s(literal 1 binary64)) x) (/.f64 (cosh.f64 x) (neg.f64 x)))
(-.f64 (/.f64 (cosh.f64 x) x) (/.f64 (-.f64 #s(literal 1 binary64) (sinh.f64 x)) x))
(-.f64 (/.f64 (expm1.f64 x) x) #s(literal 0 binary64))
(-.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 (exp.f64 x) (neg.f64 x)))
(-.f64 (/.f64 (-.f64 (cosh.f64 x) #s(literal 1 binary64)) x) (/.f64 (sinh.f64 x) (neg.f64 x)))
(-.f64 (/.f64 (cosh.f64 x) x) (*.f64 (/.f64 #s(literal -1 binary64) x) (-.f64 (sinh.f64 x) #s(literal 1 binary64))))
(-.f64 (/.f64 (cosh.f64 x) x) (*.f64 (-.f64 #s(literal 1 binary64) (sinh.f64 x)) (/.f64 #s(literal 1 binary64) x)))
(-.f64 (/.f64 (sinh.f64 x) x) (/.f64 (-.f64 #s(literal 1 binary64) (cosh.f64 x)) x))
(/.f64 (expm1.f64 x) x)
(/.f64 (/.f64 (expm1.f64 x) x) #s(literal 1 binary64))
(/.f64 (*.f64 (/.f64 #s(literal 2 binary64) x) (expm1.f64 x)) #s(literal 2 binary64))
(/.f64 (*.f64 (expm1.f64 x) (/.f64 #s(literal 2 binary64) x)) #s(literal 2 binary64))
(/.f64 (neg.f64 (expm1.f64 x)) (neg.f64 x))
(/.f64 (*.f64 (expm1.f64 x) #s(literal 2 binary64)) (+.f64 x x))
(/.f64 (*.f64 (expm1.f64 x) #s(literal -2 binary64)) (neg.f64 (+.f64 x x)))
(/.f64 (.f64 #s(literal -2 binary64) (expm1.f64 x)) (.f64 #s(literal -2 binary64) x))
(/.f64 (*.f64 #s(literal -2 binary64) (expm1.f64 x)) (neg.f64 (+.f64 x x)))
(/.f64 (.f64 x (expm1.f64 x)) (.f64 x x))
(/.f64 (.f64 x (neg.f64 (expm1.f64 x))) (neg.f64 (.f64 x x)))
(/.f64 (fma.f64 (/.f64 #s(literal -1 binary64) x) x (exp.f64 x)) x)
(/.f64 (.f64 (.f64 x (expm1.f64 x)) #s(literal 1 binary64)) (*.f64 x x))
(/.f64 (*.f64 (neg.f64 (expm1.f64 x)) #s(literal 2 binary64)) (neg.f64 (+.f64 x x)))
(/.f64 (.f64 (.f64 (expm1.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64)) (neg.f64 (+.f64 x x)))
(/.f64 (.f64 (.f64 (expm1.f64 x) #s(literal 2 binary64)) (/.f64 #s(literal 2 binary64) x)) #s(literal 4 binary64))
(/.f64 (.f64 (.f64 (expm1.f64 x) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))
(/.f64 (.f64 (.f64 (expm1.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (+.f64 x x)))
(/.f64 (.f64 (.f64 (expm1.f64 x) #s(literal 2 binary64)) #s(literal -2 binary64)) (*.f64 #s(literal 2 binary64) (neg.f64 (+.f64 x x))))
(/.f64 (.f64 #s(literal 1 binary64) (.f64 x (expm1.f64 x))) (*.f64 x x))
(/.f64 (.f64 #s(literal 1 binary64) (.f64 x (neg.f64 (expm1.f64 x)))) (neg.f64 (*.f64 x x)))
(/.f64 (.f64 #s(literal -1 binary64) (.f64 (expm1.f64 x) #s(literal 2 binary64))) (neg.f64 (+.f64 x x)))
(/.f64 (*.f64 #s(literal -2 binary64) (/.f64 (expm1.f64 x) x)) #s(literal -2 binary64))
(/.f64 (.f64 #s(literal -2 binary64) (.f64 x (expm1.f64 x))) (.f64 #s(literal -2 binary64) (.f64 x x)))
(/.f64 (.f64 #s(literal -2 binary64) (.f64 x (neg.f64 (expm1.f64 x)))) (.f64 #s(literal -2 binary64) (neg.f64 (.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) (.f64 (expm1.f64 x) #s(literal 2 binary64))) (*.f64 (neg.f64 (+.f64 x x)) #s(literal 2 binary64)))
(/.f64 (.f64 #s(literal 2 binary64) (.f64 x (expm1.f64 x))) (.f64 #s(literal 2 binary64) (.f64 x x)))
(/.f64 (*.f64 #s(literal 2 binary64) (/.f64 (expm1.f64 x) x)) #s(literal 2 binary64))
(/.f64 (.f64 #s(literal 2 binary64) (.f64 (expm1.f64 x) #s(literal 2 binary64))) (*.f64 (+.f64 x x) #s(literal 2 binary64)))
(/.f64 (.f64 #s(literal 2 binary64) (.f64 x (neg.f64 (expm1.f64 x)))) (.f64 #s(literal 2 binary64) (neg.f64 (.f64 x x))))
(/.f64 (.f64 (/.f64 #s(literal 1 binary64) x) (.f64 (expm1.f64 x) #s(literal 2 binary64))) #s(literal 2 binary64))
(/.f64 (.f64 (/.f64 #s(literal 2 binary64) x) (.f64 (expm1.f64 x) #s(literal 2 binary64))) #s(literal 4 binary64))
(/.f64 (fma.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 x) (neg.f64 (exp.f64 x))) (neg.f64 x))
(/.f64 (fma.f64 (/.f64 #s(literal -1 binary64) x) (.f64 x x) (.f64 (exp.f64 x) x)) (*.f64 x x))
(/.f64 (fma.f64 (cosh.f64 x) #s(literal 1 binary64) (-.f64 (sinh.f64 x) #s(literal 1 binary64))) x)
(/.f64 (-.f64 (.f64 (exp.f64 x) #s(literal 2 binary64)) (.f64 x (/.f64 #s(literal 2 binary64) x))) (+.f64 x x))
(/.f64 (-.f64 (.f64 (exp.f64 x) (+.f64 x x)) (+.f64 x x)) (.f64 x (+.f64 x x)))
(/.f64 (-.f64 (*.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 x)) (exp.f64 x)) (neg.f64 x))
(/.f64 (/.f64 (*.f64 x (expm1.f64 x)) (fabs.f64 x)) (fabs.f64 x))
(/.f64 (fma.f64 (neg.f64 (exp.f64 x)) (neg.f64 (+.f64 x x)) (neg.f64 (+.f64 x x))) (*.f64 (neg.f64 x) (neg.f64 (+.f64 x x))))
(/.f64 (fma.f64 (/.f64 (exp.f64 x) x) (neg.f64 (+.f64 x x)) #s(literal 2 binary64)) (neg.f64 (+.f64 x x)))
(/.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cosh.f64 x)) #s(literal 2 binary64) (*.f64 #s(literal -2 binary64) (sinh.f64 x))) (neg.f64 (+.f64 x x)))
(/.f64 (fma.f64 (.f64 (exp.f64 x) x) (neg.f64 (+.f64 x x)) (.f64 (.f64 x x) #s(literal 2 binary64))) (.f64 (*.f64 x x) (neg.f64 (+.f64 x x))))
(/.f64 (fma.f64 (.f64 (exp.f64 x) x) (neg.f64 (+.f64 x x)) (.f64 #s(literal 2 binary64) (.f64 x x))) (.f64 (*.f64 x x) (neg.f64 (+.f64 x x))))
(/.f64 (fma.f64 (.f64 (exp.f64 x) x) (neg.f64 x) (.f64 x x)) (.f64 (.f64 x x) (neg.f64 x)))
(/.f64 (fma.f64 (.f64 (exp.f64 x) x) x (.f64 (.f64 x x) #s(literal -1 binary64))) (.f64 (*.f64 x x) x))
(/.f64 (fma.f64 (.f64 (exp.f64 x) x) x (.f64 #s(literal -1 binary64) (.f64 x x))) (.f64 (*.f64 x x) x))
(/.f64 (fma.f64 (exp.f64 x) (neg.f64 (+.f64 x x)) (+.f64 x x)) (*.f64 x (neg.f64 (+.f64 x x))))
(/.f64 (.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cosh.f64 x)) #s(literal 2 binary64) (.f64 #s(literal -2 binary64) (sinh.f64 x))) #s(literal 1 binary64)) (neg.f64 (+.f64 x x)))
(/.f64 (.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cosh.f64 x)) #s(literal 2 binary64) (.f64 #s(literal -2 binary64) (sinh.f64 x))) (/.f64 #s(literal -1 binary64) x)) #s(literal 2 binary64))
(/.f64 (.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cosh.f64 x)) #s(literal 2 binary64) (.f64 #s(literal -2 binary64) (sinh.f64 x))) #s(literal -1 binary64)) (+.f64 x x))
(/.f64 (.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cosh.f64 x)) #s(literal 2 binary64) (.f64 #s(literal -2 binary64) (sinh.f64 x))) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (neg.f64 (+.f64 x x))))
(/.f64 (.f64 (.f64 (neg.f64 (expm1.f64 x)) #s(literal 2 binary64)) #s(literal 1 binary64)) (neg.f64 (+.f64 x x)))
(/.f64 (.f64 (.f64 (neg.f64 (expm1.f64 x)) #s(literal 2 binary64)) (/.f64 #s(literal -1 binary64) x)) #s(literal 2 binary64))
(/.f64 (.f64 (.f64 (neg.f64 (expm1.f64 x)) #s(literal 2 binary64)) #s(literal -1 binary64)) (+.f64 x x))
(/.f64 (.f64 (.f64 (neg.f64 (expm1.f64 x)) #s(literal 2 binary64)) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (neg.f64 (+.f64 x x))))
(/.f64 (.f64 (/.f64 #s(literal -1 binary64) x) (fma.f64 (-.f64 #s(literal 1 binary64) (cosh.f64 x)) #s(literal 2 binary64) (.f64 #s(literal -2 binary64) (sinh.f64 x)))) #s(literal 2 binary64))
(/.f64 (.f64 (/.f64 #s(literal -1 binary64) x) (.f64 (neg.f64 (expm1.f64 x)) #s(literal 2 binary64))) #s(literal 2 binary64))
(/.f64 (.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) (cosh.f64 x)) #s(literal 2 binary64) (.f64 #s(literal -2 binary64) (sinh.f64 x)))) (neg.f64 (+.f64 x x)))
(/.f64 (.f64 #s(literal 1 binary64) (.f64 (neg.f64 (expm1.f64 x)) #s(literal 2 binary64))) (neg.f64 (+.f64 x x)))
(/.f64 (.f64 #s(literal -1 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) (cosh.f64 x)) #s(literal 2 binary64) (.f64 #s(literal -2 binary64) (sinh.f64 x)))) (+.f64 x x))
(/.f64 (.f64 #s(literal -1 binary64) (.f64 (neg.f64 (expm1.f64 x)) #s(literal 2 binary64))) (+.f64 x x))
(/.f64 (.f64 #s(literal 2 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) (cosh.f64 x)) #s(literal 2 binary64) (.f64 #s(literal -2 binary64) (sinh.f64 x)))) (*.f64 (neg.f64 (+.f64 x x)) #s(literal 2 binary64)))
(/.f64 (.f64 #s(literal 2 binary64) (.f64 (neg.f64 (expm1.f64 x)) #s(literal 2 binary64))) (*.f64 (neg.f64 (+.f64 x x)) #s(literal 2 binary64)))
(/.f64 (fma.f64 (.f64 (cosh.f64 x) #s(literal 2 binary64)) x (.f64 (+.f64 x x) (-.f64 (sinh.f64 x) #s(literal 1 binary64)))) (*.f64 (+.f64 x x) x))
(/.f64 (fma.f64 (.f64 (cosh.f64 x) #s(literal 2 binary64)) x (.f64 (-.f64 (sinh.f64 x) #s(literal 1 binary64)) (+.f64 x x))) (*.f64 (+.f64 x x) x))
(/.f64 (fma.f64 (neg.f64 (cosh.f64 x)) x (.f64 (neg.f64 x) (-.f64 (sinh.f64 x) #s(literal 1 binary64)))) (neg.f64 (.f64 x x)))
(/.f64 (fma.f64 (neg.f64 (cosh.f64 x)) x (.f64 (-.f64 (sinh.f64 x) #s(literal 1 binary64)) (neg.f64 x))) (neg.f64 (.f64 x x)))
(/.f64 (fma.f64 x #s(literal 2 binary64) (.f64 (neg.f64 (+.f64 x x)) (exp.f64 x))) (.f64 (neg.f64 (+.f64 x x)) x))
(/.f64 (fma.f64 x #s(literal 2 binary64) (.f64 (exp.f64 x) (neg.f64 (+.f64 x x)))) (.f64 (neg.f64 (+.f64 x x)) x))
(/.f64 (fma.f64 x (cosh.f64 x) (.f64 x (-.f64 (sinh.f64 x) #s(literal 1 binary64)))) (.f64 x x))
(/.f64 (fma.f64 x (cosh.f64 x) (.f64 (-.f64 (sinh.f64 x) #s(literal 1 binary64)) x)) (.f64 x x))
(/.f64 (fma.f64 #s(literal 2 binary64) (.f64 x x) (.f64 (neg.f64 (+.f64 x x)) (.f64 (exp.f64 x) x))) (.f64 (neg.f64 (+.f64 x x)) (*.f64 x x)))
(/.f64 (fma.f64 #s(literal 2 binary64) (.f64 x x) (.f64 (.f64 (exp.f64 x) x) (neg.f64 (+.f64 x x)))) (.f64 (neg.f64 (+.f64 x x)) (*.f64 x x)))
(/.f64 (fma.f64 #s(literal -1 binary64) (.f64 x x) (.f64 x (.f64 (exp.f64 x) x))) (.f64 x (*.f64 x x)))
(/.f64 (fma.f64 #s(literal -1 binary64) (.f64 x x) (.f64 (.f64 (exp.f64 x) x) x)) (.f64 x (*.f64 x x)))
(/.f64 (fma.f64 (neg.f64 x) #s(literal 2 binary64) (.f64 (neg.f64 (+.f64 x x)) (neg.f64 (exp.f64 x)))) (.f64 (neg.f64 (+.f64 x x)) (neg.f64 x)))
(/.f64 (fma.f64 (neg.f64 x) #s(literal 2 binary64) (.f64 (neg.f64 (exp.f64 x)) (neg.f64 (+.f64 x x)))) (.f64 (neg.f64 (+.f64 x x)) (neg.f64 x)))
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(*.f64 #s(literal 4 binary64) #s(literal 1/4 binary64))
(*.f64 (/.f64 #s(literal 2 binary64) #s(literal 8 binary64)) #s(literal 4 binary64))
(*.f64 (/.f64 #s(literal 1 binary64) x) x)
(*.f64 x (/.f64 #s(literal 1 binary64) x))
(.f64 #s(literal -1 binary64) (.f64 (/.f64 #s(literal -1 binary64) x) x))
(fabs.f64 #s(literal 1 binary64))
(fabs.f64 #s(literal -1 binary64))
(+.f64 #s(literal 0 binary64) #s(literal 1 binary64))
(+.f64 #s(literal 1/2 binary64) #s(literal 1/2 binary64))
(+.f64 #s(literal 1 binary64) #s(literal 0 binary64))
(+.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 0 binary64)))
(-.f64 #s(literal 2 binary64) #s(literal 1 binary64))
(-.f64 #s(literal 0 binary64) #s(literal -1 binary64))
(-.f64 #s(literal 1 binary64) #s(literal 0 binary64))
(-.f64 #s(literal 1/2 binary64) #s(literal -1/2 binary64))
(-.f64 (.f64 (cosh.f64 #s(literal 1 binary64)) (cosh.f64 #s(literal 1 binary64))) (.f64 (sinh.f64 #s(literal 1 binary64)) (sinh.f64 #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) #s(literal 1 binary64))
(/.f64 #s(literal -1 binary64) #s(literal -1 binary64))
(/.f64 #s(literal 1/2 binary64) #s(literal 1/2 binary64))
(/.f64 #s(literal -2 binary64) #s(literal -2 binary64))
(/.f64 #s(literal 2 binary64) #s(literal 2 binary64))
(/.f64 #s(literal -4 binary64) #s(literal -4 binary64))
(/.f64 #s(literal 4 binary64) #s(literal 4 binary64))
(/.f64 #s(literal 8 binary64) #s(literal 8 binary64))
(/.f64 x x)
(/.f64 (*.f64 #s(literal 8 binary64) #s(literal 1 binary64)) #s(literal 8 binary64))
(/.f64 (neg.f64 x) (neg.f64 x))
(/.f64 (*.f64 #s(literal 8 binary64) #s(literal 1/2 binary64)) #s(literal 4 binary64))
(/.f64 (+.f64 x x) (+.f64 x x))
(/.f64 (+.f64 #s(literal 0 binary64) #s(literal -2 binary64)) #s(literal -2 binary64))
(/.f64 (+.f64 #s(literal -4 binary64) #s(literal 0 binary64)) #s(literal -4 binary64))
(/.f64 (+.f64 #s(literal 0 binary64) #s(literal -4 binary64)) #s(literal -4 binary64))
(/.f64 (-.f64 #s(literal -4 binary64) #s(literal 0 binary64)) #s(literal -4 binary64))
(/.f64 (exp.f64 #s(literal 1 binary64)) (exp.f64 #s(literal 1 binary64)))
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 x x)) #s(literal 2 binary64))
(/.f64 (*.f64 (/.f64 #s(literal 2 binary64) x) (+.f64 x x)) #s(literal 4 binary64))
(/.f64 (*.f64 (/.f64 #s(literal 2 binary64) x) x) #s(literal 2 binary64))
(/.f64 (*.f64 #s(literal -1 binary64) (+.f64 x x)) (neg.f64 (+.f64 x x)))
(/.f64 (.f64 #s(literal 2 binary64) (+.f64 x x)) (.f64 (+.f64 x x) #s(literal 2 binary64)))
(/.f64 (*.f64 #s(literal -2 binary64) x) (neg.f64 (+.f64 x x)))
(/.f64 (.f64 #s(literal -2 binary64) (+.f64 x x)) (.f64 (neg.f64 (+.f64 x x)) #s(literal 2 binary64)))
(copysign.f64 #s(literal 1 binary64) #s(literal 1 binary64))
(copysign.f64 #s(literal 1 binary64) #s(literal 2 binary64))
(cosh.f64 #s(literal 0 binary64))
(exp.f64 #s(literal 0 binary64))
(fma.f64 #s(literal 1 binary64) #s(literal 1 binary64) #s(literal 0 binary64))
(fma.f64 #s(literal 1/2 binary64) #s(literal 1 binary64) #s(literal 1/2 binary64))
(fma.f64 #s(literal 0 binary64) #s(literal 1 binary64) #s(literal 1 binary64))
(fma.f64 #s(literal -1 binary64) #s(literal -1 binary64) #s(literal 0 binary64))
(fma.f64 #s(literal 0 binary64) #s(literal -1 binary64) #s(literal 1 binary64))
(fma.f64 #s(literal 1 binary64) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
(fma.f64 #s(literal 2 binary64) #s(literal 1/2 binary64) #s(literal 0 binary64))
(fma.f64 #s(literal 0 binary64) #s(literal 1/2 binary64) #s(literal 1 binary64))
(fma.f64 #s(literal 0 binary64) #s(literal -2 binary64) #s(literal 1 binary64))
(fma.f64 #s(literal -1/2 binary64) #s(literal -2 binary64) #s(literal 0 binary64))
(fma.f64 #s(literal 1/2 binary64) #s(literal 2 binary64) #s(literal 0 binary64))
(fma.f64 #s(literal 0 binary64) #s(literal 2 binary64) #s(literal 1 binary64))
(fma.f64 #s(literal 1/4 binary64) #s(literal 2 binary64) #s(literal 1/2 binary64))
(fma.f64 #s(literal 1 binary64) #s(literal 0 binary64) #s(literal 1 binary64))
(fma.f64 #s(literal -1 binary64) #s(literal 0 binary64) #s(literal 1 binary64))
(fma.f64 #s(literal 1/2 binary64) #s(literal 0 binary64) #s(literal 1 binary64))
(fma.f64 #s(literal -2 binary64) #s(literal 0 binary64) #s(literal 1 binary64))
(fma.f64 #s(literal 2 binary64) #s(literal 0 binary64) #s(literal 1 binary64))
(fma.f64 #s(literal 0 binary64) #s(literal 0 binary64) #s(literal 1 binary64))
(fma.f64 #s(literal 4 binary64) #s(literal 0 binary64) #s(literal 1 binary64))
(fma.f64 x #s(literal 0 binary64) #s(literal 1 binary64))
(fma.f64 #s(literal -2 binary64) #s(literal -1/2 binary64) #s(literal 0 binary64))
(fma.f64 #s(literal 2 binary64) #s(literal 1/4 binary64) #s(literal 1/2 binary64))
(fma.f64 #s(literal 4 binary64) #s(literal 1/4 binary64) #s(literal 0 binary64))
(fma.f64 #s(literal 0 binary64) #s(literal 4 binary64) #s(literal 1 binary64))
(fma.f64 #s(literal 0 binary64) x #s(literal 1 binary64))
(fma.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) #s(literal 4 binary64) #s(literal 1/2 binary64))
(fma.f64 (/.f64 #s(literal 2 binary64) #s(literal 8 binary64)) #s(literal 4 binary64) #s(literal 0 binary64))
(fma.f64 (/.f64 #s(literal 0 binary64) #s(literal 8 binary64)) #s(literal 4 binary64) #s(literal 1 binary64))
(fma.f64 (/.f64 #s(literal 1 binary64) x) x #s(literal 0 binary64))
(fma.f64 (expm1.f64 x) #s(literal 0 binary64) #s(literal 1 binary64))
(fma.f64 #s(literal 0 binary64) (expm1.f64 x) #s(literal 1 binary64))
(fma.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))
(fma.f64 #s(literal 0 binary64) (/.f64 #s(literal -1 binary64) x) #s(literal 1 binary64))
(fma.f64 x (/.f64 #s(literal 1 binary64) x) #s(literal 0 binary64))
(fma.f64 #s(literal -1 binary64) (.f64 (/.f64 #s(literal -1 binary64) x) x) (.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 0 binary64)))
(fma.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal -1 binary64) x) x) #s(literal 0 binary64))
(fma.f64 #s(literal 1 binary64) #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 0 binary64)))
(fma.f64 #s(literal -1 binary64) #s(literal -1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 0 binary64)))
(fma.f64 #s(literal 2 binary64) #s(literal 1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 0 binary64)))
(fma.f64 #s(literal -1/2 binary64) #s(literal -2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 0 binary64)))
(fma.f64 #s(literal 1/2 binary64) #s(literal 2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 0 binary64)))
(fma.f64 #s(literal -2 binary64) #s(literal -1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 0 binary64)))
(fma.f64 #s(literal 4 binary64) #s(literal 1/4 binary64) (*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 0 binary64)))
(fma.f64 (/.f64 #s(literal 2 binary64) #s(literal 8 binary64)) #s(literal 4 binary64) (*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 0 binary64)))
(fma.f64 (/.f64 #s(literal 1 binary64) x) x (*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 0 binary64)))
(fma.f64 x (/.f64 #s(literal 1 binary64) x) (*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 0 binary64)))
(hypot.f64 #s(literal 1 binary64) #s(literal 0 binary64))
(hypot.f64 #s(literal -1 binary64) #s(literal 0 binary64))
(hypot.f64 #s(literal 0 binary64) #s(literal 1 binary64))
(hypot.f64 #s(literal 0 binary64) #s(literal -1 binary64))
(neg.f64 #s(literal -1 binary64))
(neg.f64 (*.f64 (/.f64 #s(literal -1 binary64) x) x))
(pow.f64 #s(literal 1 binary64) #s(literal -1 binary64))
(pow.f64 #s(literal 1 binary64) #s(literal 2 binary64))
(pow.f64 #s(literal 1 binary64) #s(literal 1/2 binary64))
(pow.f64 #s(literal 1 binary64) #s(literal 3 binary64))
(pow.f64 x #s(literal 0 binary64))
(sqrt.f64 #s(literal 1 binary64))

eval109.0ms (2.5%)

Memory: 8.7MiB live, 195.1MiB allocated; 14ms collecting garbage
Compiler: Compiled 14 865 to 2 982 computations (79.9% saved)

prune25.0ms (0.6%)

Memory

-9.3MiB live, 40.2MiB allocated; 8ms collecting garbage

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	1 145	4	1 149
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	1 146	4	1 150

Accuracy

100.0%

Counts

1 150 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	52.6%	(/.f64 (.f64 x (expm1.f64 x)) (.f64 x x))
▶	100.0%	(/.f64 (expm1.f64 x) x)
▶	52.7%	#s(approx (/ (- (exp x) 1) x) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x)))
▶	52.8%	#s(approx (/ (- (exp x) 1) x) #s(literal 1 binary64))

Compiler

Compiled 32 to 25 computations (21.9% saved)

series103.0ms (2.3%)

Memory

-9.9MiB live, 70.3MiB allocated; 32ms collecting garbage

Counts

12 → 17

Calls

Call 1

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

Calls

3 calls:

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

rewrite482.0ms (10.9%)

Memory

78.1MiB live, 186.7MiB allocated; 145ms collecting garbage

Counts

12 → 665

Calls

Call 1

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

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

eval48.0ms (1.1%)

Memory: -0.5MiB live, 45.9MiB allocated; 4ms collecting garbage
Compiler: Compiled 8 692 to 1 370 computations (84.2% saved)

prune14.0ms (0.3%)

Memory

12.5MiB live, 12.5MiB allocated; 0ms collecting garbage

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	638	3	641
Fresh	0	0	0
Picked	2	2	4
Done	0	0	0
Total	640	5	645

Accuracy

100.0%

Counts

645 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(/.f64 (expm1.f64 x) x)
▶	52.7%	(.f64 (/.f64 (expm1.f64 x) (.f64 x x)) x)
▶	52.7%	#s(approx (/ (- (exp x) 1) x) (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)))
▶	52.7%	#s(approx (/ (- (exp x) 1) x) (*.f64 (/.f64 #s(literal 1 binary64) x) x))
✓	52.8%	#s(approx (/ (- (exp x) 1) x) #s(literal 1 binary64))

Compiler

Compiled 43 to 33 computations (23.3% saved)

series88.0ms (2%)

Memory

-32.9MiB live, 14.3MiB allocated; 10ms collecting garbage

Counts

12 → 18

Calls

Call 1

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

Calls

3 calls:

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

rewrite133.0ms (3%)

Memory

22.6MiB live, 22.6MiB allocated; 0ms collecting garbage

Counts

12 → 43

Calls

Call 1

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

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

eval5.0ms (0.1%)

Memory: 4.0MiB live, 4.0MiB allocated; 0ms collecting garbage
Compiler: Compiled 624 to 158 computations (74.7% saved)

prune3.0ms (0.1%)

Memory

2.3MiB live, 2.3MiB allocated; 0ms collecting garbage

Pruning

6 alts after pruning (1 fresh and 5 done)

	Pruned	Kept	Total
New	45	1	46
Fresh	0	0	0
Picked	0	3	3
Done	0	2	2
Total	45	6	51

Accuracy

100.0%

Counts

51 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(/.f64 (expm1.f64 x) x)
✓	52.7%	(.f64 (/.f64 (expm1.f64 x) (.f64 x x)) x)
✓	52.7%	#s(approx (/ (- (exp x) 1) x) (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)))
✓	52.7%	#s(approx (/ (- (exp x) 1) x) (*.f64 (/.f64 #s(literal 1 binary64) x) x))
▶	3.4%	#s(approx (/ (- (exp x) 1) x) #s(approx (+ (* x 1/2) 1) (*.f64 #s(literal 1/2 binary64) x)))
✓	52.8%	#s(approx (/ (- (exp x) 1) x) #s(literal 1 binary64))

Compiler

Compiled 59 to 45 computations (23.7% saved)

series149.0ms (3.4%)

Memory

-34.7MiB live, 12.2MiB allocated; 76ms collecting garbage

Counts

5 → 8

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

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

Calls

3 calls:

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

rewrite1.2s (26.9%)

Memory

13.2MiB live, 103.6MiB allocated; 14ms collecting garbage

Counts

5 → 216

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

Outputs
#s(approx (/ (+ -1 (exp x)) x) #s(approx (+ 1 (* 1/2 x)) (*.f64 #s(literal 1/2 binary64) x)))
#s(approx (+ 1 (* 1/2 x)) (*.f64 #s(literal 1/2 binary64) x))
(*.f64 #s(literal 1/2 binary64) x)
(*.f64 x #s(literal 1/2 binary64))
(.f64 (.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64))
(*.f64 (neg.f64 x) #s(literal -1/2 binary64))
(*.f64 (/.f64 x #s(literal 4 binary64)) #s(literal 2 binary64))
(*.f64 (/.f64 x #s(literal 8 binary64)) #s(literal 4 binary64))
(*.f64 #s(literal -1/2 binary64) (neg.f64 x))
(.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) x))
(+.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 0 binary64))
(+.f64 #s(literal 0 binary64) (*.f64 #s(literal 1/2 binary64) x))
(-.f64 #s(literal 0 binary64) (*.f64 x #s(literal -1/2 binary64)))
(-.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64))))
(-.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x)))
(/.f64 x #s(literal 2 binary64))
(/.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64))
(/.f64 (neg.f64 x) #s(literal -2 binary64))
(/.f64 (+.f64 x x) #s(literal 4 binary64))
(fma.f64 x #s(literal 1/2 binary64) #s(literal 0 binary64))
(fma.f64 #s(literal 1/2 binary64) x #s(literal 0 binary64))
(fma.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64) #s(literal 0 binary64))
(fma.f64 (neg.f64 x) #s(literal -1/2 binary64) #s(literal 0 binary64))
(fma.f64 (/.f64 x #s(literal 4 binary64)) #s(literal 2 binary64) #s(literal 0 binary64))
(fma.f64 (/.f64 #s(literal 0 binary64) #s(literal 8 binary64)) #s(literal 4 binary64) (*.f64 #s(literal 1/2 binary64) x))
(fma.f64 (/.f64 x #s(literal 8 binary64)) #s(literal 4 binary64) #s(literal 0 binary64))
(fma.f64 (expm1.f64 x) #s(literal 0 binary64) (*.f64 #s(literal 1/2 binary64) x))
(fma.f64 #s(literal -1/2 binary64) (neg.f64 x) #s(literal 0 binary64))
(fma.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x) #s(literal 0 binary64))
(fma.f64 #s(literal 0 binary64) (expm1.f64 x) (*.f64 #s(literal 1/2 binary64) x))
(fma.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) x) (*.f64 #s(literal 1/2 binary64) x))
(fma.f64 #s(literal 0 binary64) (/.f64 #s(literal -1 binary64) x) (*.f64 #s(literal 1/2 binary64) x))
(fma.f64 #s(literal 0 binary64) #s(literal -1/2 binary64) (*.f64 #s(literal 1/2 binary64) x))
(fma.f64 #s(literal 0 binary64) #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) x))
(fma.f64 #s(literal 0 binary64) #s(literal -2 binary64) (*.f64 #s(literal 1/2 binary64) x))
(fma.f64 #s(literal 0 binary64) #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x))
(fma.f64 #s(literal 0 binary64) #s(literal -1 binary64) (*.f64 #s(literal 1/2 binary64) x))
(fma.f64 #s(literal 0 binary64) #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) x))
(fma.f64 #s(literal 0 binary64) #s(literal 4 binary64) (*.f64 #s(literal 1/2 binary64) x))
(fma.f64 #s(literal -1/2 binary64) #s(literal 0 binary64) (*.f64 #s(literal 1/2 binary64) x))
(fma.f64 #s(literal 1/2 binary64) #s(literal 0 binary64) (*.f64 #s(literal 1/2 binary64) x))
(fma.f64 #s(literal -2 binary64) #s(literal 0 binary64) (*.f64 #s(literal 1/2 binary64) x))
(fma.f64 #s(literal 1 binary64) #s(literal 0 binary64) (*.f64 #s(literal 1/2 binary64) x))
(fma.f64 #s(literal -1 binary64) #s(literal 0 binary64) (*.f64 #s(literal 1/2 binary64) x))
(fma.f64 #s(literal 2 binary64) #s(literal 0 binary64) (*.f64 #s(literal 1/2 binary64) x))
(fma.f64 #s(literal 4 binary64) #s(literal 0 binary64) (*.f64 #s(literal 1/2 binary64) x))
(fma.f64 #s(literal 0 binary64) #s(literal 0 binary64) (*.f64 #s(literal 1/2 binary64) x))
(fma.f64 x #s(literal 0 binary64) (*.f64 #s(literal 1/2 binary64) x))
(fma.f64 #s(literal 0 binary64) x (*.f64 #s(literal 1/2 binary64) x))
(neg.f64 (*.f64 x #s(literal -1/2 binary64)))
(neg.f64 (-.f64 (*.f64 x #s(literal -1/2 binary64)) #s(literal 0 binary64)))
#s(literal 1/2 binary64)
(*.f64 #s(literal 1 binary64) #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) #s(literal 1 binary64))
(*.f64 #s(literal 1/4 binary64) #s(literal 2 binary64))
(*.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) #s(literal 4 binary64))
(fabs.f64 #s(literal -1/2 binary64))
(fabs.f64 #s(literal 1/2 binary64))
(+.f64 #s(literal 0 binary64) #s(literal 1/2 binary64))
(+.f64 #s(literal 1/2 binary64) #s(literal 0 binary64))
(+.f64 #s(literal 1/4 binary64) #s(literal 1/4 binary64))
(-.f64 #s(literal 1 binary64) #s(literal 1/2 binary64))
(-.f64 #s(literal 1/2 binary64) #s(literal 0 binary64))
(/.f64 #s(literal -1 binary64) #s(literal -2 binary64))
(/.f64 #s(literal 1/2 binary64) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) #s(literal 2 binary64))
(/.f64 #s(literal 2 binary64) #s(literal 4 binary64))
(/.f64 #s(literal -2 binary64) #s(literal -4 binary64))
(/.f64 #s(literal 4 binary64) #s(literal 8 binary64))
(fma.f64 #s(literal 0 binary64) #s(literal -1/2 binary64) #s(literal 1/2 binary64))
(fma.f64 #s(literal 1/2 binary64) #s(literal 1/2 binary64) #s(literal 1/4 binary64))
(fma.f64 #s(literal 1 binary64) #s(literal 1/2 binary64) #s(literal 0 binary64))
(fma.f64 #s(literal 0 binary64) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
(fma.f64 #s(literal 0 binary64) #s(literal -2 binary64) #s(literal 1/2 binary64))
(fma.f64 #s(literal 1/2 binary64) #s(literal 1 binary64) #s(literal 0 binary64))
(fma.f64 #s(literal 0 binary64) #s(literal 1 binary64) #s(literal 1/2 binary64))
(fma.f64 #s(literal 0 binary64) #s(literal -1 binary64) #s(literal 1/2 binary64))
(fma.f64 #s(literal 0 binary64) #s(literal 2 binary64) #s(literal 1/2 binary64))
(fma.f64 #s(literal 1/4 binary64) #s(literal 2 binary64) #s(literal 0 binary64))
(fma.f64 #s(literal 0 binary64) #s(literal 4 binary64) #s(literal 1/2 binary64))
(fma.f64 #s(literal -1/2 binary64) #s(literal 0 binary64) #s(literal 1/2 binary64))
(fma.f64 #s(literal 1/2 binary64) #s(literal 0 binary64) #s(literal 1/2 binary64))
(fma.f64 #s(literal -2 binary64) #s(literal 0 binary64) #s(literal 1/2 binary64))
(fma.f64 #s(literal 1 binary64) #s(literal 0 binary64) #s(literal 1/2 binary64))
(fma.f64 #s(literal -1 binary64) #s(literal 0 binary64) #s(literal 1/2 binary64))
(fma.f64 #s(literal 2 binary64) #s(literal 0 binary64) #s(literal 1/2 binary64))
(fma.f64 #s(literal 4 binary64) #s(literal 0 binary64) #s(literal 1/2 binary64))
(fma.f64 #s(literal 0 binary64) #s(literal 0 binary64) #s(literal 1/2 binary64))
(fma.f64 x #s(literal 0 binary64) #s(literal 1/2 binary64))
(fma.f64 #s(literal 2 binary64) #s(literal 1/4 binary64) #s(literal 0 binary64))
(fma.f64 #s(literal 0 binary64) x #s(literal 1/2 binary64))
(fma.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) #s(literal 4 binary64) #s(literal 0 binary64))
(fma.f64 (/.f64 #s(literal 0 binary64) #s(literal 8 binary64)) #s(literal 4 binary64) #s(literal 1/2 binary64))
(fma.f64 (expm1.f64 x) #s(literal 0 binary64) #s(literal 1/2 binary64))
(fma.f64 #s(literal 0 binary64) (expm1.f64 x) #s(literal 1/2 binary64))
(fma.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))
(fma.f64 #s(literal 0 binary64) (/.f64 #s(literal -1 binary64) x) #s(literal 1/2 binary64))
(neg.f64 #s(literal -1/2 binary64))
(pow.f64 #s(literal 2 binary64) #s(literal -1 binary64))
x
(*.f64 x #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) x)
(.f64 (.f64 #s(literal 1/2 binary64) x) #s(literal 2 binary64))
(*.f64 (neg.f64 x) #s(literal -1 binary64))
(*.f64 (+.f64 x x) #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) (+.f64 x x))
(*.f64 #s(literal -1 binary64) (neg.f64 x))
(.f64 #s(literal 2 binary64) (.f64 #s(literal 1/2 binary64) x))
(*.f64 (/.f64 (+.f64 x x) #s(literal 8 binary64)) #s(literal 4 binary64))
(+.f64 x #s(literal 0 binary64))
(+.f64 #s(literal 0 binary64) x)
(+.f64 (.f64 #s(literal 1/2 binary64) x) (.f64 #s(literal 1/2 binary64) x))
(+.f64 x (.f64 #s(literal 0 binary64) (.f64 #s(literal 1/2 binary64) x)))
(+.f64 x (*.f64 #s(literal 0 binary64) (neg.f64 x)))
(+.f64 x (.f64 (.f64 #s(literal 1/2 binary64) x) #s(literal 0 binary64)))
(+.f64 x (*.f64 (neg.f64 x) #s(literal 0 binary64)))
(-.f64 x #s(literal 0 binary64))
(-.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x))
(-.f64 #s(literal 0 binary64) (neg.f64 x))
(-.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (neg.f64 x)))
(-.f64 x (*.f64 (neg.f64 x) #s(literal 0 binary64)))
(/.f64 x #s(literal 1 binary64))
(/.f64 (*.f64 x #s(literal -2 binary64)) #s(literal -2 binary64))
(/.f64 (+.f64 x x) #s(literal 2 binary64))
(/.f64 (*.f64 #s(literal -2 binary64) x) #s(literal -2 binary64))
(/.f64 (.f64 (.f64 #s(literal 1/2 binary64) x) #s(literal 4 binary64)) #s(literal 2 binary64))
(/.f64 (.f64 (.f64 #s(literal 1/2 binary64) x) #s(literal 8 binary64)) #s(literal 4 binary64))
(/.f64 (neg.f64 (+.f64 x x)) #s(literal -2 binary64))
(/.f64 (*.f64 (neg.f64 x) #s(literal -2 binary64)) #s(literal 2 binary64))
(/.f64 (*.f64 (+.f64 x x) #s(literal 2 binary64)) #s(literal 4 binary64))
(/.f64 (*.f64 (+.f64 x x) #s(literal -2 binary64)) #s(literal -4 binary64))
(/.f64 (*.f64 #s(literal -2 binary64) (+.f64 x x)) #s(literal -4 binary64))
(/.f64 (*.f64 #s(literal -2 binary64) (neg.f64 x)) #s(literal 2 binary64))
(/.f64 (*.f64 #s(literal 2 binary64) (+.f64 x x)) #s(literal 4 binary64))
(/.f64 (+.f64 #s(literal 0 binary64) (+.f64 x x)) #s(literal 2 binary64))
(/.f64 (/.f64 (+.f64 x x) #s(literal 1 binary64)) #s(literal 2 binary64))
(/.f64 (+.f64 #s(literal 0 binary64) (*.f64 (+.f64 x x) #s(literal 2 binary64))) #s(literal 4 binary64))
(/.f64 (+.f64 #s(literal 0 binary64) (*.f64 #s(literal 2 binary64) (+.f64 x x))) #s(literal 4 binary64))
(fma.f64 #s(literal 0 binary64) #s(literal -1/2 binary64) x)
(fma.f64 #s(literal 0 binary64) #s(literal 1/2 binary64) x)
(fma.f64 #s(literal 0 binary64) #s(literal -2 binary64) x)
(fma.f64 #s(literal 0 binary64) #s(literal 1 binary64) x)
(fma.f64 x #s(literal 1 binary64) #s(literal 0 binary64))
(fma.f64 #s(literal 0 binary64) #s(literal -1 binary64) x)
(fma.f64 #s(literal 0 binary64) #s(literal 2 binary64) x)
(fma.f64 #s(literal 0 binary64) #s(literal 4 binary64) x)
(fma.f64 #s(literal -1/2 binary64) #s(literal 0 binary64) x)
(fma.f64 #s(literal 1/2 binary64) #s(literal 0 binary64) x)
(fma.f64 #s(literal -2 binary64) #s(literal 0 binary64) x)
(fma.f64 #s(literal 1 binary64) #s(literal 0 binary64) x)
(fma.f64 #s(literal -1 binary64) #s(literal 0 binary64) x)
(fma.f64 #s(literal 2 binary64) #s(literal 0 binary64) x)
(fma.f64 #s(literal 4 binary64) #s(literal 0 binary64) x)
(fma.f64 #s(literal 0 binary64) #s(literal 0 binary64) x)
(fma.f64 x #s(literal 0 binary64) x)
(fma.f64 #s(literal 1 binary64) x #s(literal 0 binary64))
(fma.f64 #s(literal 0 binary64) x x)
(fma.f64 (.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) x))
(fma.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 2 binary64) #s(literal 0 binary64))
(fma.f64 (neg.f64 x) #s(literal -1 binary64) #s(literal 0 binary64))
(fma.f64 (neg.f64 x) #s(literal -1/2 binary64) (*.f64 #s(literal 1/2 binary64) x))
(fma.f64 (+.f64 x x) #s(literal 1/2 binary64) #s(literal 0 binary64))
(fma.f64 (/.f64 x #s(literal 4 binary64)) #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) x))
(fma.f64 (/.f64 #s(literal 0 binary64) #s(literal 8 binary64)) #s(literal 4 binary64) x)
(fma.f64 (/.f64 x #s(literal 8 binary64)) #s(literal 4 binary64) (*.f64 #s(literal 1/2 binary64) x))
(fma.f64 (expm1.f64 x) #s(literal 0 binary64) x)
(fma.f64 #s(literal -1/2 binary64) (neg.f64 x) (*.f64 #s(literal 1/2 binary64) x))
(fma.f64 #s(literal 1/2 binary64) (+.f64 x x) #s(literal 0 binary64))
(fma.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) x) (.f64 #s(literal 1/2 binary64) x))
(fma.f64 #s(literal -1 binary64) (neg.f64 x) #s(literal 0 binary64))
(fma.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) x) #s(literal 0 binary64))
(fma.f64 #s(literal 0 binary64) (expm1.f64 x) x)
(fma.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) x) x)
(fma.f64 #s(literal 0 binary64) (/.f64 #s(literal -1 binary64) x) x)
(fma.f64 x #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) x))
(fma.f64 #s(literal 1/2 binary64) x (*.f64 #s(literal 1/2 binary64) x))
(fma.f64 (/.f64 (+.f64 x x) #s(literal 8 binary64)) #s(literal 4 binary64) (.f64 #s(literal 0 binary64) (.f64 #s(literal 1/2 binary64) x)))
(fma.f64 (/.f64 (+.f64 x x) #s(literal 8 binary64)) #s(literal 4 binary64) (*.f64 #s(literal 0 binary64) (neg.f64 x)))
(fma.f64 (/.f64 (+.f64 x x) #s(literal 8 binary64)) #s(literal 4 binary64) (.f64 (.f64 #s(literal 1/2 binary64) x) #s(literal 0 binary64)))
(fma.f64 (/.f64 (+.f64 x x) #s(literal 8 binary64)) #s(literal 4 binary64) (*.f64 (neg.f64 x) #s(literal 0 binary64)))
(fma.f64 (/.f64 (+.f64 x x) #s(literal 8 binary64)) #s(literal 4 binary64) #s(literal 0 binary64))
(fma.f64 (+.f64 x x) #s(literal 1/2 binary64) (.f64 #s(literal 0 binary64) (.f64 #s(literal 1/2 binary64) x)))
(fma.f64 (+.f64 x x) #s(literal 1/2 binary64) (*.f64 #s(literal 0 binary64) (neg.f64 x)))
(fma.f64 (+.f64 x x) #s(literal 1/2 binary64) (.f64 (.f64 #s(literal 1/2 binary64) x) #s(literal 0 binary64)))
(fma.f64 (+.f64 x x) #s(literal 1/2 binary64) (*.f64 (neg.f64 x) #s(literal 0 binary64)))
(fma.f64 x #s(literal 1 binary64) (.f64 #s(literal 0 binary64) (.f64 #s(literal 1/2 binary64) x)))
(fma.f64 x #s(literal 1 binary64) (*.f64 #s(literal 0 binary64) (neg.f64 x)))
(fma.f64 x #s(literal 1 binary64) (.f64 (.f64 #s(literal 1/2 binary64) x) #s(literal 0 binary64)))
(fma.f64 x #s(literal 1 binary64) (*.f64 (neg.f64 x) #s(literal 0 binary64)))
(fma.f64 (neg.f64 x) #s(literal -1 binary64) (.f64 #s(literal 0 binary64) (.f64 #s(literal 1/2 binary64) x)))
(fma.f64 (neg.f64 x) #s(literal -1 binary64) (*.f64 #s(literal 0 binary64) (neg.f64 x)))
(fma.f64 (neg.f64 x) #s(literal -1 binary64) (.f64 (.f64 #s(literal 1/2 binary64) x) #s(literal 0 binary64)))
(fma.f64 (neg.f64 x) #s(literal -1 binary64) (*.f64 (neg.f64 x) #s(literal 0 binary64)))
(fma.f64 (.f64 #s(literal 1/2 binary64) x) #s(literal 2 binary64) (.f64 #s(literal 0 binary64) (*.f64 #s(literal 1/2 binary64) x)))
(fma.f64 (.f64 #s(literal 1/2 binary64) x) #s(literal 2 binary64) (.f64 #s(literal 0 binary64) (neg.f64 x)))
(fma.f64 (.f64 #s(literal 1/2 binary64) x) #s(literal 2 binary64) (.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 0 binary64)))
(fma.f64 (.f64 #s(literal 1/2 binary64) x) #s(literal 2 binary64) (.f64 (neg.f64 x) #s(literal 0 binary64)))
(fma.f64 #s(literal 1 binary64) x (.f64 #s(literal 0 binary64) (.f64 #s(literal 1/2 binary64) x)))
(fma.f64 #s(literal 1 binary64) x (*.f64 #s(literal 0 binary64) (neg.f64 x)))
(fma.f64 #s(literal 1 binary64) x (.f64 (.f64 #s(literal 1/2 binary64) x) #s(literal 0 binary64)))
(fma.f64 #s(literal 1 binary64) x (*.f64 (neg.f64 x) #s(literal 0 binary64)))
(fma.f64 #s(literal 2 binary64) (.f64 #s(literal 1/2 binary64) x) (.f64 #s(literal 0 binary64) (*.f64 #s(literal 1/2 binary64) x)))
(fma.f64 #s(literal 2 binary64) (.f64 #s(literal 1/2 binary64) x) (.f64 #s(literal 0 binary64) (neg.f64 x)))
(fma.f64 #s(literal 2 binary64) (.f64 #s(literal 1/2 binary64) x) (.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 0 binary64)))
(fma.f64 #s(literal 2 binary64) (.f64 #s(literal 1/2 binary64) x) (.f64 (neg.f64 x) #s(literal 0 binary64)))
(fma.f64 #s(literal -1 binary64) (neg.f64 x) (.f64 #s(literal 0 binary64) (.f64 #s(literal 1/2 binary64) x)))
(fma.f64 #s(literal -1 binary64) (neg.f64 x) (*.f64 #s(literal 0 binary64) (neg.f64 x)))
(fma.f64 #s(literal -1 binary64) (neg.f64 x) (.f64 (.f64 #s(literal 1/2 binary64) x) #s(literal 0 binary64)))
(fma.f64 #s(literal -1 binary64) (neg.f64 x) (*.f64 (neg.f64 x) #s(literal 0 binary64)))
(fma.f64 #s(literal 1/2 binary64) (+.f64 x x) (.f64 #s(literal 0 binary64) (.f64 #s(literal 1/2 binary64) x)))
(fma.f64 #s(literal 1/2 binary64) (+.f64 x x) (*.f64 #s(literal 0 binary64) (neg.f64 x)))
(fma.f64 #s(literal 1/2 binary64) (+.f64 x x) (.f64 (.f64 #s(literal 1/2 binary64) x) #s(literal 0 binary64)))
(fma.f64 #s(literal 1/2 binary64) (+.f64 x x) (*.f64 (neg.f64 x) #s(literal 0 binary64)))
(neg.f64 (neg.f64 x))
(neg.f64 (.f64 (.f64 #s(literal 1/2 binary64) x) #s(literal -2 binary64)))

eval20.0ms (0.4%)

Memory: 20.5MiB live, 20.5MiB allocated; 0ms collecting garbage
Compiler: Compiled 4 421 to 889 computations (79.9% saved)

prune8.0ms (0.2%)

Memory

6.1MiB live, 6.1MiB allocated; 0ms collecting garbage

Pruning

6 alts after pruning (0 fresh and 6 done)

	Pruned	Kept	Total
New	220	0	220
Fresh	0	0	0
Picked	0	1	1
Done	0	5	5
Total	220	6	226

Accuracy

100.0%

Counts

226 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(/.f64 (expm1.f64 x) x)
✓	52.7%	(.f64 (/.f64 (expm1.f64 x) (.f64 x x)) x)
✓	52.7%	#s(approx (/ (- (exp x) 1) x) (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)))
✓	52.7%	#s(approx (/ (- (exp x) 1) x) (*.f64 (/.f64 #s(literal 1 binary64) x) x))
✓	3.4%	#s(approx (/ (- (exp x) 1) x) #s(approx (+ (* x 1/2) 1) (*.f64 #s(literal 1/2 binary64) x)))
✓	52.8%	#s(approx (/ (- (exp x) 1) x) #s(literal 1 binary64))

Compiler

Compiled 59 to 45 computations (23.7% saved)

regimes10.0ms (0.2%)

Memory

9.0MiB live, 9.0MiB allocated; 0ms collecting garbage

Accuracy

Total -32.0b remaining (-105.9%)

Threshold costs -32b (-105.9%)

Counts

5 → 1

9 → 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)))
#s(approx (/ (- (exp x) 1) x) (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)))
#s(approx (/ (- (exp x) 1) x) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x)))
#s(approx (/ (- (exp x) 1) x) (*.f64 (/.f64 #s(literal 1 binary64) x) 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)))
#s(approx (/ (- (exp x) 1) x) (*.f64 (/.f64 #s(literal 1 binary64) x) x))
(/.f64 (expm1.f64 x) x)
(.f64 (/.f64 (expm1.f64 x) (.f64 x x)) x)
(/.f64 (.f64 x (expm1.f64 x)) (.f64 x x))
(/.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) x)

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

Calls

4 calls:

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

Results

Accuracy	Segments	Branch
52.8%	1	`(/.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) x)`
52.8%	1	`x`
100.0%	1	`(/.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) x)`
100.0%	1	`x`

Compiler

Compiled 99 to 43 computations (56.6% saved)

derivations0.0ms (0%)

Memory

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

Stop Event

1×

done

Compiler

Compiled 12 to 9 computations (25% saved)

preprocess19.0ms (0.4%)

Memory: -31.3MiB live, 15.5MiB allocated; 3ms collecting garbage
Compiler: Compiled 40 to 26 computations (35% saved)

end0.0ms (0%)

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

start0.0ms (0%)

analyze1.0ms (0%)

sample519.0ms (11.7%)

preprocess39.0ms (0.9%)

series87.0ms (2%)

rewrite1.4s (31%)

eval109.0ms (2.5%)

prune25.0ms (0.6%)

series103.0ms (2.3%)

rewrite482.0ms (10.9%)

eval48.0ms (1.1%)

prune14.0ms (0.3%)

series88.0ms (2%)

rewrite133.0ms (3%)

eval5.0ms (0.1%)

prune3.0ms (0.1%)

series149.0ms (3.4%)

rewrite1.2s (26.9%)

eval20.0ms (0.4%)

prune8.0ms (0.2%)

regimes10.0ms (0.2%)

derivations0.0ms (0%)

preprocess19.0ms (0.4%)

end0.0ms (0%)

Profiling