Metrics for Kahan's exp quotient

start0.0ms (0.0%)

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

analyze1.0ms (0.1%)

Memory

1.6MiB live, 1.6MiB 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)

sample498.0ms (26.1%)

Memory

17.5MiB live, 676.5MiB allocated; 133ms collecting garbage

Samples

272.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 136.0ms

ival-expm1: 76.0ms (56.0% of total)

ival-div!: 59.0ms (43.4% of total)

adjust: 1.0ms (0.7% of total)

Bogosity

preprocess32.0ms (1.7%)

Memory

-1.3MiB live, 44.2MiB allocated; 6ms 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
▶	52.7%	(/.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) x)

Compiler

Compiled 12 to 10 computations (16.7% saved)

sample0.0ms (0.0%)

Memory

0.3MiB live, 0.3MiB 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)

series50.0ms (2.6%)

Memory

-17.3MiB live, 27.9MiB allocated; 6ms 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

rewrite633.0ms (33.2%)

Memory

-106.3MiB live, 252.1MiB allocated; 1.0s 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)

eval105.0ms (5.5%)

Memory: -10.6MiB live, 123.9MiB allocated; 16ms collecting garbage
Compiler: Compiled 8 047 to 1 634 computations (79.7% saved)

prune8.0ms (0.4%)

Memory

21.2MiB live, 21.2MiB allocated; 0ms collecting garbage

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	543	3	546
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	544	3	547

Accuracy

100.0%

Counts

547 → 3

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(/.f64 (expm1.f64 x) x)
▶	51.5%	#s(approx (/ (- (exp x) 1) x) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x)))
▶	51.4%	#s(approx (/ (- (exp x) 1) x) #s(literal 1 binary64))

Compiler

Compiled 24 to 20 computations (16.7% saved)

sample0.0ms (0.0%)

Memory

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

Calls

Call 1

Inputs
1
1/2

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

Samples

0.0ms

1×

valid

Compiler

Compiled 4 to 4 computations (0.0% saved)

Precisions

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

adjust: 0.0ms (0.0% of total)

series6.0ms (0.3%)

Memory

10.8MiB live, 10.8MiB allocated; 0ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	38	127

Stop Event

1×	iter-limit

Counts

9 → 12

Calls

Call 1

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

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

Calls

3 calls:

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

rewrite142.0ms (7.5%)

Memory

-24.2MiB live, 259.5MiB allocated; 40ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Counts

9 → 452

Calls

Call 1

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

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

eval41.0ms (2.2%)

Memory: 21.7MiB live, 112.1MiB allocated; 9ms collecting garbage
Compiler: Compiled 6 823 to 1 371 computations (79.9% saved)

prune16.0ms (0.8%)

Memory

-42.0MiB live, 23.8MiB allocated; 17ms collecting garbage

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	453	1	454
Fresh	0	0	0
Picked	1	2	3
Done	0	0	0
Total	454	3	457

Accuracy

100.0%

Counts

457 → 3

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(/.f64 (expm1.f64 x) x)
▶	51.5%	#s(approx (/ (- (exp x) 1) x) (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)))
✓	51.4%	#s(approx (/ (- (exp x) 1) x) #s(literal 1 binary64))

Compiler

Compiled 23 to 19 computations (17.4% saved)

sample0.0ms (0.0%)

Memory

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

Calls

Call 1

Inputs
1/2
1

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

Samples

0.0ms

1×

valid

Compiler

Compiled 4 to 4 computations (0.0% saved)

Precisions

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

adjust: 0.0ms (0.0% of total)

series5.0ms (0.2%)

Memory

8.8MiB live, 8.7MiB allocated; 0ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	33	80

Stop Event

1×	iter-limit

Counts

5 → 8

Calls

Call 1

Inputs
#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))
x
#s(literal 1/2 binary64)
#s(literal 1 binary64)

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

Calls

3 calls:

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

rewrite146.0ms (7.6%)

Memory

33.0MiB live, 223.0MiB allocated; 19ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	18
0	10	18
1	63	18
2	225	18
3	1061	18
0	4048	16

Stop Event

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

Counts

5 → 32

Calls

Call 1

Inputs
#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))
x
#s(literal 1/2 binary64)
#s(literal 1 binary64)

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

eval19.0ms (1.0%)

Memory: -39.1MiB live, 7.6MiB allocated; 2ms collecting garbage
Compiler: Compiled 595 to 149 computations (75.0% saved)

prune2.0ms (0.1%)

Memory

3.6MiB live, 3.6MiB allocated; 0ms collecting garbage

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	32	1	33
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	32	4	36

Accuracy

100.0%

Counts

36 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(/.f64 (expm1.f64 x) x)
✓	51.5%	#s(approx (/ (- (exp x) 1) x) (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)))
▶	3.6%	#s(approx (/ (- (exp x) 1) x) #s(approx (+ (* x 1/2) 1) (*.f64 #s(literal 1/2 binary64) x)))
✓	51.4%	#s(approx (/ (- (exp x) 1) x) #s(literal 1 binary64))

Compiler

Compiled 39 to 31 computations (20.5% saved)

sample0.0ms (0.0%)

Memory

0.2MiB live, 0.2MiB allocated; 0ms collecting garbage

Calls

Call 1

Inputs
1/2

Outputs
#s(literal 1/2 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)

series5.0ms (0.3%)

Memory

7.6MiB live, 7.6MiB allocated; 0ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	33	79

Stop Event

1×	iter-limit

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

rewrite122.0ms (6.4%)

Memory

23.6MiB live, 254.5MiB allocated; 22ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	30
0	12	30
1	65	30
2	227	30
3	1063	30
0	4050	26

Stop Event

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

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(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))
(/.f64 (.f64 #s(literal 1 binary64) (.f64 x #s(literal 2 binary64))) #s(literal 4 binary64))
(/.f64 (.f64 (.f64 x #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 4 binary64))
#s(literal 1/2 binary64)
x

eval1.0ms (0.1%)

Memory: 3.9MiB live, 3.9MiB allocated; 0ms collecting garbage
Compiler: Compiled 173 to 57 computations (67.1% saved)

prune1.0ms (0.1%)

Memory

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

Pruning

4 alts after pruning (0 fresh and 4 done)

	Pruned	Kept	Total
New	10	0	10
Fresh	0	0	0
Picked	0	1	1
Done	0	3	3
Total	10	4	14

Accuracy

100.0%

Counts

14 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(/.f64 (expm1.f64 x) x)
✓	51.5%	#s(approx (/ (- (exp x) 1) x) (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)))
✓	3.6%	#s(approx (/ (- (exp x) 1) x) #s(approx (+ (* x 1/2) 1) (*.f64 #s(literal 1/2 binary64) x)))
✓	51.4%	#s(approx (/ (- (exp x) 1) x) #s(literal 1 binary64))

Compiler

Compiled 39 to 31 computations (20.5% saved)

regimes15.0ms (0.8%)

Memory

2.8MiB live, 48.9MiB allocated; 4ms collecting garbage

Counts

2 → 1

4 → 1

6 → 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)))

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 (expm1.f64 x) x)
(/.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) x)

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

Calls

6 calls:

5.0ms	x
2.0ms	x
2.0ms	(/.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) x)
2.0ms	(/.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) x)
2.0ms	x

Results

Accuracy	Segments	Branch
51.4%	1	`(/.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) x)`
51.4%	1	`x`
51.5%	1	`(/.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) x)`
51.5%	1	`x`
100.0%	1	`(/.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) x)`
100.0%	1	`x`

Compiler

Compiled 78 to 41 computations (47.4% saved)

derivations31.0ms (1.6%)

Memory

-17.8MiB live, 34.7MiB allocated; 7ms collecting garbage

Stop Event

1×

done

Compiler

Compiled 23 to 12 computations (47.8% saved)

preprocess28.0ms (1.4%)

Memory: 6.9MiB live, 53.1MiB allocated; 5ms collecting garbage
Compiler: Compiled 51 to 29 computations (43.1% saved)

end0.0ms (0.0%)

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

start0.0ms (0.0%)

analyze1.0ms (0.1%)

sample498.0ms (26.1%)

preprocess32.0ms (1.7%)

sample0.0ms (0.0%)

series50.0ms (2.6%)

rewrite633.0ms (33.2%)

eval105.0ms (5.5%)

prune8.0ms (0.4%)

sample0.0ms (0.0%)

series6.0ms (0.3%)

rewrite142.0ms (7.5%)

eval41.0ms (2.2%)

prune16.0ms (0.8%)

sample0.0ms (0.0%)

series5.0ms (0.2%)

rewrite146.0ms (7.6%)

eval19.0ms (1.0%)

prune2.0ms (0.1%)

sample0.0ms (0.0%)

series5.0ms (0.3%)

rewrite122.0ms (6.4%)

eval1.0ms (0.1%)

prune1.0ms (0.1%)

regimes15.0ms (0.8%)

derivations31.0ms (1.6%)

preprocess28.0ms (1.4%)

end0.0ms (0.0%)

Profiling