Metrics for expm1 (example 3.7)

start0.0ms (0%)

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

analyze0.0ms (0%)

Memory

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

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	50%	50%	0%	0%	0%	0
100%	50%	0%	50%	0%	0%	0%	1

Compiler

Compiled 9 to 6 computations (33.3% saved)

sample375.0ms (17.6%)

Memory

33.0MiB live, 215.8MiB allocated; 83ms collecting garbage

Samples

245.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 117.0ms

ival-expm1: 116.0ms (98.8% of total)

adjust: 1.0ms (0.9% of total)

Bogosity

preprocess93.0ms (4.4%)

Memory

-30.8MiB live, 61.5MiB allocated; 9ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	14
1	29	14
2	96	14
3	612	14
4	7951	14

Stop Event

1×	node-limit

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	8.1%	(-.f64 (exp.f64 x) #s(literal 1 binary64))

Compiler

Compiled 8 to 8 computations (0% saved)

series68.0ms (3.2%)

Memory

38.5MiB live, 38.5MiB allocated; 0ms collecting garbage

Counts

4 → 10

Calls

Call 1

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

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

Calls

3 calls:

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

rewrite547.0ms (25.7%)

Memory

6.8MiB live, 569.3MiB allocated; 195ms collecting garbage

Counts

4 → 356

Calls

Call 1

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

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

eval49.0ms (2.3%)

Memory: 1.4MiB live, 55.8MiB allocated; 14ms collecting garbage
Compiler: Compiled 3 581 to 832 computations (76.8% saved)

prune10.0ms (0.5%)

Memory

-31.6MiB live, 15.1MiB allocated; 3ms collecting garbage

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	359	3	362
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	360	3	363

Accuracy

100.0%

Counts

363 → 3

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	6.9%	(-.f64 #s(approx (exp x) (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))
▶	100.0%	(expm1.f64 x)
▶	98.0%	#s(approx (- (exp x) 1) x)

Compiler

Compiled 16 to 13 computations (18.8% saved)

series67.0ms (3.2%)

Memory

8.5MiB live, 55.4MiB allocated; 3ms collecting garbage

Counts

7 → 11

Calls

Call 1

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

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

Calls

3 calls:

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

rewrite569.0ms (26.7%)

Memory

27.6MiB live, 550.7MiB allocated; 126ms collecting garbage

Counts

7 → 333

Calls

Call 1

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

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

eval42.0ms (2%)

Memory: -30.5MiB live, 61.4MiB allocated; 8ms collecting garbage
Compiler: Compiled 4 071 to 1 018 computations (75% saved)

prune6.0ms (0.3%)

Memory

14.6MiB live, 14.6MiB allocated; 0ms collecting garbage

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	374	2	376
Fresh	0	0	0
Picked	1	2	3
Done	0	0	0
Total	375	4	379

Accuracy

100.0%

Counts

379 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	6.9%	(-.f64 #s(approx (exp x) (-.f64 x #s(literal -1 binary64))) #s(literal 1 binary64))
✓	100.0%	(expm1.f64 x)
▶	6.9%	#s(approx (- (exp x) 1) (-.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)))
✓	98.0%	#s(approx (- (exp x) 1) x)

Compiler

Compiled 26 to 22 computations (15.4% saved)

series71.0ms (3.3%)

Memory

0.3MiB live, 51.2MiB allocated; 8ms collecting garbage

Counts

9 → 15

Calls

Call 1

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

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

Calls

3 calls:

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

rewrite152.0ms (7.2%)

Memory

25.4MiB live, 117.1MiB allocated; 11ms collecting garbage

Counts

9 → 20

Calls

Call 1

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

Outputs
#s(approx (+ (exp x) -1) (+.f64 #s(literal 0 binary64) x))
(+.f64 #s(literal 0 binary64) x)
(+.f64 #s(literal 1 binary64) (neg.f64 (-.f64 #s(literal 1 binary64) x)))
(-.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x))
(neg.f64 (-.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)))
#s(literal 1 binary64)
(cosh.f64 #s(literal 0 binary64))
(exp.f64 #s(literal 0 binary64))
(neg.f64 #s(literal -1 binary64))
(+.f64 #s(literal 1 binary64) (neg.f64 x))
(-.f64 #s(literal 1 binary64) x)
(neg.f64 (-.f64 x #s(literal 1 binary64)))
x
(-.f64 #s(approx (exp x) (-.f64 x #s(literal -1 binary64))) #s(literal 1 binary64))
#s(approx (exp x) (-.f64 x #s(literal -1 binary64)))
(+.f64 x #s(literal 1 binary64))
(-.f64 x #s(literal -1 binary64))
(neg.f64 (-.f64 #s(literal -1 binary64) x))
#s(literal -1 binary64)
(neg.f64 #s(literal 1 binary64))

eval3.0ms (0.1%)

Memory: 6.2MiB live, 6.2MiB allocated; 0ms collecting garbage
Compiler: Compiled 347 to 120 computations (65.4% saved)

prune3.0ms (0.2%)

Memory

-43.4MiB live, 3.4MiB allocated; 2ms collecting garbage

Pruning

4 alts after pruning (0 fresh and 4 done)

	Pruned	Kept	Total
New	29	0	29
Fresh	0	0	0
Picked	0	2	2
Done	0	2	2
Total	29	4	33

Accuracy

100.0%

Counts

33 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	6.9%	(-.f64 #s(approx (exp x) (-.f64 x #s(literal -1 binary64))) #s(literal 1 binary64))
✓	100.0%	(expm1.f64 x)
✓	6.9%	#s(approx (- (exp x) 1) (-.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)))
✓	98.0%	#s(approx (- (exp x) 1) x)

Compiler

Compiled 26 to 22 computations (15.4% saved)

regimes24.0ms (1.1%)

Memory

36.3MiB live, 36.3MiB allocated; 0ms collecting garbage

Accuracy

Total -58.4b remaining (-4633.7%)

Threshold costs -58.4b (-4633.7%)

Counts

4 → 1

6 → 1

Calls

Call 1

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

Outputs
#s(approx (- (exp x) 1) x)

Call 2

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

Outputs
(expm1.f64 x)

Calls

6 calls:

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

Results

Accuracy	Segments	Branch
98.0%	1	`(exp.f64 x)`
98.0%	1	`(-.f64 (exp.f64 x) #s(literal 1 binary64))`
98.0%	1	`x`
100.0%	1	`(exp.f64 x)`
100.0%	1	`(-.f64 (exp.f64 x) #s(literal 1 binary64))`
100.0%	1	`x`

Compiler

Compiled 52 to 33 computations (36.5% saved)

derivations0.0ms (0%)

Memory

0.8MiB live, 0.8MiB allocated; 0ms collecting garbage

Stop Event

1×

done

Compiler

Compiled 8 to 6 computations (25% saved)

preprocess51.0ms (2.4%)

Memory: -17.4MiB live, 30.1MiB allocated; 50ms collecting garbage
Compiler: Compiled 14 to 12 computations (14.3% saved)

end0.0ms (0%)

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

start0.0ms (0%)

analyze0.0ms (0%)

sample375.0ms (17.6%)

preprocess93.0ms (4.4%)

series68.0ms (3.2%)

rewrite547.0ms (25.7%)

eval49.0ms (2.3%)

prune10.0ms (0.5%)

series67.0ms (3.2%)

rewrite569.0ms (26.7%)

eval42.0ms (2%)

prune6.0ms (0.3%)

series71.0ms (3.3%)

rewrite152.0ms (7.2%)

eval3.0ms (0.1%)

prune3.0ms (0.2%)

regimes24.0ms (1.1%)

derivations0.0ms (0%)

preprocess51.0ms (2.4%)

end0.0ms (0%)

Profiling