Metrics for Hyperbolic tangent

start0.0ms (0.0%)

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

analyze0.0ms (0.0%)

Memory

0.7MiB live, 0.7MiB allocated; 0ms collecting garbage

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0.0%	0.0%	100.0%	0.0%	0.0%	0.0%	0.0%	0
0.0%	0.0%	100.0%	0.0%	0.0%	0.0%	0.0%	1
100.0%	100.0%	0.0%	0.0%	0.0%	0.0%	0.0%	2

Compiler

Compiled 15 to 9 computations (40.0% saved)

sample4.2s (83.4%)

Memory

117.7MiB live, 5 980.9MiB allocated; 1.8s collecting garbage

Samples

1.6s	3 267×	2	valid
1.1s	4 596×	1	valid
714.0ms	7 824×	0	exit
26.0ms	393×	0	valid

Precisions

Click to see histograms. Total time spent on operations: 2.9s

ival-exp: 2.0s (69.8% of total)

ival-div!: 341.0ms (11.9% of total)

adjust: 234.0ms (8.2% of total)

ival-add!: 104.0ms (3.6% of total)

ival-neg: 98.0ms (3.4% of total)

ival-sub!: 88.0ms (3.1% of total)

Bogosity

preprocess98.0ms (1.9%)

Memory

-24.6MiB live, 52.3MiB allocated; 64ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	7
1	76	7
2	326	7
3	3431	7

Stop Event

1×	node-limit

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	9.1%	(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))

Symmetry

(negabs x)

Compiler

Compiled 26 to 14 computations (46.2% saved)

sample0.0ms (0.0%)

Memory

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

Calls

Call 1

Inputs

Outputs

series11.0ms (0.2%)

Memory

33.4MiB live, 33.4MiB allocated; 0ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	119	457

Stop Event

1×	iter-limit

Counts

7 → 29

Calls

Call 1

Inputs
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
(exp.f64 x)
x
(exp.f64 (neg.f64 x))
(neg.f64 x)
(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))

Outputs
#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) x)
#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 2 binary64))))))
#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 2/15 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/3 binary64))))))
#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 2/15 binary64) (.f64 #s(literal -17/315 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal 1/3 binary64))))))
#s(approx (- (exp x) (exp (neg x))) (*.f64 #s(literal 2 binary64) x))
#s(approx (- (exp x) (exp (neg x))) (.f64 x (+.f64 #s(literal 2 binary64) (.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2 binary64))))))
#s(approx (- (exp x) (exp (neg x))) (.f64 x (+.f64 #s(literal 2 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 1/60 binary64) (pow.f64 x #s(literal 2 binary64))))))))
#s(approx (- (exp x) (exp (neg x))) (.f64 x (+.f64 #s(literal 2 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/3 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/60 binary64) (.f64 #s(literal 1/2520 binary64) (pow.f64 x #s(literal 2 binary64))))))))))
#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 (neg x)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x)))
#s(approx (exp (neg x)) (+.f64 #s(literal 1 binary64) (.f64 x (-.f64 (.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64)))))
#s(approx (exp (neg x)) (+.f64 #s(literal 1 binary64) (.f64 x (-.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/6 binary64) x))) #s(literal 1 binary64)))))
#s(approx (neg x) (*.f64 #s(literal -1 binary64) x))
#s(approx (+ (exp x) (exp (neg x))) #s(literal 2 binary64))
#s(approx (+ (exp x) (exp (neg x))) (+.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))))
#s(approx (+ (exp x) (exp (neg x))) (+.f64 #s(literal 2 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 2 binary64)))))))
#s(approx (+ (exp x) (exp (neg x))) (+.f64 #s(literal 2 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/12 binary64) (*.f64 #s(literal 1/360 binary64) (pow.f64 x #s(literal 2 binary64)))))))))
#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))))
#s(approx (- (exp x) (exp (neg x))) (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
#s(approx (exp x) (exp.f64 x))
#s(approx (exp (neg x)) (exp.f64 (neg.f64 x)))
#s(approx (+ (exp x) (exp (neg x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (/.f64 (-.f64 (exp.f64 x) (exp.f64 (.f64 #s(literal -1 binary64) x))) (+.f64 (exp.f64 x) (exp.f64 (.f64 #s(literal -1 binary64) x)))))
#s(approx (- (exp x) (exp (neg x))) (-.f64 (exp.f64 x) (exp.f64 (*.f64 #s(literal -1 binary64) x))))
#s(approx (exp (neg x)) (exp.f64 (*.f64 #s(literal -1 binary64) x)))
#s(approx (+ (exp x) (exp (neg x))) (+.f64 (exp.f64 x) (exp.f64 (*.f64 #s(literal -1 binary64) x))))

Calls

3 calls:

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

rewrite142.0ms (2.8%)

Memory

21.4MiB live, 199.5MiB allocated; 25ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	33
0	13	18
1	68	18
2	329	18
3	2440	18
0	4608	18

Stop Event

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

Counts

7 → 721

Calls

Call 1

Inputs
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
(exp.f64 x)
x
(exp.f64 (neg.f64 x))
(neg.f64 x)
(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))

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

eval123.0ms (2.4%)

Memory: -40.8MiB live, 154.3MiB allocated; 67ms collecting garbage
Compiler: Compiled 16 606 to 2 553 computations (84.6% saved)

prune13.0ms (0.3%)

Memory

24.5MiB live, 24.5MiB allocated; 0ms collecting garbage

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	740	4	744
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	741	4	745

Accuracy

100.0%

Counts

745 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(/.f64 (neg.f64 (expm1.f64 (.f64 #s(literal -2 binary64) x))) (+.f64 (exp.f64 (.f64 #s(literal -2 binary64) x)) #s(literal 1 binary64)))
▶	98.8%	(/.f64 (expm1.f64 (+.f64 x x)) (-.f64 (exp.f64 (+.f64 x x)) #s(literal -1 binary64)))
▶	100.0%	(tanh.f64 x)
▶	97.7%	#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) x)

Compiler

Compiled 40 to 26 computations (35.0% 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 binary64)
#s(literal -2 binary64)
#s(literal 1 binary64)

Samples

0.0ms

1×

valid

Compiler

Compiled 5 to 5 computations (0.0% saved)

Precisions

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

adjust: 0.0ms (0.0% of total)

series20.0ms (0.4%)

Memory

-26.3MiB live, 20.1MiB allocated; 5ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	164	715

Stop Event

1×	iter-limit

Counts

17 → 45

Calls

Call 1

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

Outputs
#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) x)
#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 2 binary64))))))
#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 2/15 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/3 binary64))))))
#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 2/15 binary64) (.f64 #s(literal -17/315 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal 1/3 binary64))))))
#s(approx (- (exp (+ x x)) 1) (*.f64 #s(literal 2 binary64) x))
#s(approx (- (exp (+ x x)) 1) (.f64 x (+.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) x))))
#s(approx (- (exp (+ x x)) 1) (.f64 x (+.f64 #s(literal 2 binary64) (.f64 x (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 4/3 binary64) x))))))
#s(approx (- (exp (+ x x)) 1) (.f64 x (+.f64 #s(literal 2 binary64) (.f64 x (+.f64 #s(literal 2 binary64) (.f64 x (+.f64 #s(literal 4/3 binary64) (.f64 #s(literal 2/3 binary64) x))))))))
#s(approx (- (exp (+ x x)) -1) #s(literal 2 binary64))
#s(approx (- (exp (+ x x)) -1) (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) x)))
#s(approx (- (exp (+ x x)) -1) (+.f64 #s(literal 2 binary64) (.f64 x (+.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) x)))))
#s(approx (- (exp (+ x x)) -1) (+.f64 #s(literal 2 binary64) (.f64 x (+.f64 #s(literal 2 binary64) (.f64 x (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 4/3 binary64) x)))))))
#s(approx (exp (+ x x)) #s(literal 1 binary64))
#s(approx (exp (+ x x)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) x)))
#s(approx (exp (+ x x)) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) x)))))
#s(approx (exp (+ x x)) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 2 binary64) (.f64 x (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 4/3 binary64) x)))))))
#s(approx (neg (- (exp (* -2 x)) 1)) (.f64 x (+.f64 #s(literal 2 binary64) (.f64 #s(literal -2 binary64) x))))
#s(approx (neg (- (exp (* -2 x)) 1)) (.f64 x (+.f64 #s(literal 2 binary64) (.f64 x (-.f64 (*.f64 #s(literal 4/3 binary64) x) #s(literal 2 binary64))))))
#s(approx (neg (- (exp (* -2 x)) 1)) (.f64 x (+.f64 #s(literal 2 binary64) (.f64 x (-.f64 (.f64 x (+.f64 #s(literal 4/3 binary64) (.f64 #s(literal -2/3 binary64) x))) #s(literal 2 binary64))))))
#s(approx (- (exp (* -2 x)) 1) (*.f64 #s(literal -2 binary64) x))
#s(approx (- (exp (* -2 x)) 1) (.f64 x (-.f64 (.f64 #s(literal 2 binary64) x) #s(literal 2 binary64))))
#s(approx (- (exp (* -2 x)) 1) (.f64 x (-.f64 (.f64 x (+.f64 #s(literal 2 binary64) (*.f64 #s(literal -4/3 binary64) x))) #s(literal 2 binary64))))
#s(approx (- (exp (* -2 x)) 1) (.f64 x (-.f64 (.f64 x (+.f64 #s(literal 2 binary64) (.f64 x (-.f64 (.f64 #s(literal 2/3 binary64) x) #s(literal 4/3 binary64))))) #s(literal 2 binary64))))
#s(approx (+ (exp (* -2 x)) 1) (+.f64 #s(literal 2 binary64) (*.f64 #s(literal -2 binary64) x)))
#s(approx (+ (exp (* -2 x)) 1) (+.f64 #s(literal 2 binary64) (.f64 x (-.f64 (.f64 #s(literal 2 binary64) x) #s(literal 2 binary64)))))
#s(approx (+ (exp (* -2 x)) 1) (+.f64 #s(literal 2 binary64) (.f64 x (-.f64 (.f64 x (+.f64 #s(literal 2 binary64) (*.f64 #s(literal -4/3 binary64) x))) #s(literal 2 binary64)))))
#s(approx (exp (* -2 x)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -2 binary64) x)))
#s(approx (exp (* -2 x)) (+.f64 #s(literal 1 binary64) (.f64 x (-.f64 (.f64 #s(literal 2 binary64) x) #s(literal 2 binary64)))))
#s(approx (exp (* -2 x)) (+.f64 #s(literal 1 binary64) (.f64 x (-.f64 (.f64 x (+.f64 #s(literal 2 binary64) (*.f64 #s(literal -4/3 binary64) x))) #s(literal 2 binary64)))))
#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))))
#s(approx (tanh x) (/.f64 (-.f64 (exp.f64 x) (/.f64 #s(literal 1 binary64) (exp.f64 x))) (+.f64 (exp.f64 x) (/.f64 #s(literal 1 binary64) (exp.f64 x)))))
#s(approx (/ (- (exp (+ x x)) 1) (- (exp (+ x x)) -1)) (/.f64 (expm1.f64 (.f64 #s(literal 2 binary64) x)) (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 #s(literal 2 binary64) x)))))
#s(approx (- (exp (+ x x)) 1) (expm1.f64 (*.f64 #s(literal 2 binary64) x)))
#s(approx (- (exp (+ x x)) -1) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal 2 binary64) x))))
#s(approx (exp (+ x x)) (exp.f64 (*.f64 #s(literal 2 binary64) x)))
#s(approx (/ (neg (- (exp (* -2 x)) 1)) (+ (exp (* -2 x)) 1)) (/.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (.f64 #s(literal -2 binary64) x))) (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 #s(literal -2 binary64) x)))))
#s(approx (neg (- (exp (* -2 x)) 1)) (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))))
#s(approx (- (exp (* -2 x)) 1) (expm1.f64 (*.f64 #s(literal -2 binary64) x)))
#s(approx (+ (exp (* -2 x)) 1) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))))
#s(approx (exp (* -2 x)) (exp.f64 (*.f64 #s(literal -2 binary64) x)))
#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (/.f64 (-.f64 (exp.f64 x) (exp.f64 (.f64 #s(literal -1 binary64) x))) (+.f64 (exp.f64 x) (exp.f64 (.f64 #s(literal -1 binary64) x)))))
#s(approx (/ (- (exp (+ x x)) 1) (- (exp (+ x x)) -1)) (/.f64 (expm1.f64 (neg.f64 (.f64 #s(literal -2 binary64) x))) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 (.f64 #s(literal -2 binary64) x))))))
#s(approx (- (exp (+ x x)) 1) (expm1.f64 (neg.f64 (*.f64 #s(literal -2 binary64) x))))
#s(approx (- (exp (+ x x)) -1) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 (*.f64 #s(literal -2 binary64) x)))))
#s(approx (exp (+ x x)) (exp.f64 (neg.f64 (*.f64 #s(literal -2 binary64) x))))

Calls

3 calls:

Time	Variable	Point
4.0ms	x	inf
3.0ms	x	-inf
2.0ms	x	0

rewrite125.0ms (2.5%)

Memory

29.8MiB live, 209.9MiB allocated; 13ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	23	83
0	35	53
1	203	53
2	782	53
0	4197	53

Stop Event

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

Counts

17 → 866

Calls

Call 1

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

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

eval62.0ms (1.2%)

Memory: 12.2MiB live, 100.0MiB allocated; 8ms collecting garbage
Compiler: Compiled 12 053 to 1 956 computations (83.8% saved)

prune16.0ms (0.3%)

Memory

-13.8MiB live, 34.8MiB allocated; 10ms collecting garbage

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	541	1	542
Fresh	0	0	0
Picked	1	3	4
Done	0	0	0
Total	542	4	546

Accuracy

100.0%

Counts

546 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	98.8%	(/.f64 (expm1.f64 (+.f64 x x)) (-.f64 (exp.f64 (+.f64 x x)) #s(literal -1 binary64)))
▶	100.0%	(/.f64 (expm1.f64 (.f64 #s(literal -2 binary64) x)) (-.f64 #s(literal -1 binary64) (exp.f64 (.f64 #s(literal -2 binary64) x))))
✓	100.0%	(tanh.f64 x)
✓	97.7%	#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) x)

Compiler

Compiled 39 to 25 computations (35.9% saved)

sample0.0ms (0.0%)

Memory

0.7MiB live, 0.7MiB allocated; 0ms collecting garbage

Calls

Call 1

Inputs
-2
-1

Outputs
#s(literal -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)

series7.0ms (0.1%)

Memory

15.3MiB live, 15.3MiB allocated; 0ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	84	312

Stop Event

1×	iter-limit

Counts

8 → 20

Calls

Call 1

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

Outputs
#s(approx (/ (- (exp (* -2 x)) 1) (- -1 (exp (* -2 x)))) x)
#s(approx (/ (- (exp (* -2 x)) 1) (- -1 (exp (* -2 x)))) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 2 binary64))))))
#s(approx (/ (- (exp (* -2 x)) 1) (- -1 (exp (* -2 x)))) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 2/15 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/3 binary64))))))
#s(approx (/ (- (exp (* -2 x)) 1) (- -1 (exp (* -2 x)))) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 2/15 binary64) (.f64 #s(literal -17/315 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal 1/3 binary64))))))
#s(approx (- (exp (* -2 x)) 1) (*.f64 #s(literal -2 binary64) x))
#s(approx (- (exp (* -2 x)) 1) (.f64 x (-.f64 (.f64 #s(literal 2 binary64) x) #s(literal 2 binary64))))
#s(approx (- (exp (* -2 x)) 1) (.f64 x (-.f64 (.f64 x (+.f64 #s(literal 2 binary64) (*.f64 #s(literal -4/3 binary64) x))) #s(literal 2 binary64))))
#s(approx (- (exp (* -2 x)) 1) (.f64 x (-.f64 (.f64 x (+.f64 #s(literal 2 binary64) (.f64 x (-.f64 (.f64 #s(literal 2/3 binary64) x) #s(literal 4/3 binary64))))) #s(literal 2 binary64))))
#s(approx (- -1 (exp (* -2 x))) #s(literal -2 binary64))
#s(approx (- -1 (exp (* -2 x))) (-.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 2 binary64)))
#s(approx (- -1 (exp (* -2 x))) (-.f64 (.f64 x (+.f64 #s(literal 2 binary64) (.f64 #s(literal -2 binary64) x))) #s(literal 2 binary64)))
#s(approx (- -1 (exp (* -2 x))) (-.f64 (.f64 x (+.f64 #s(literal 2 binary64) (.f64 x (-.f64 (*.f64 #s(literal 4/3 binary64) x) #s(literal 2 binary64))))) #s(literal 2 binary64)))
#s(approx (exp (* -2 x)) #s(literal 1 binary64))
#s(approx (exp (* -2 x)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -2 binary64) x)))
#s(approx (exp (* -2 x)) (+.f64 #s(literal 1 binary64) (.f64 x (-.f64 (.f64 #s(literal 2 binary64) x) #s(literal 2 binary64)))))
#s(approx (exp (* -2 x)) (+.f64 #s(literal 1 binary64) (.f64 x (-.f64 (.f64 x (+.f64 #s(literal 2 binary64) (*.f64 #s(literal -4/3 binary64) x))) #s(literal 2 binary64)))))
#s(approx (/ (- (exp (* -2 x)) 1) (- -1 (exp (* -2 x)))) (.f64 #s(literal -1 binary64) (/.f64 (expm1.f64 (.f64 #s(literal -2 binary64) x)) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))))))
#s(approx (- (exp (* -2 x)) 1) (expm1.f64 (*.f64 #s(literal -2 binary64) x)))
#s(approx (- -1 (exp (* -2 x))) (.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 #s(literal -2 binary64) x)))))
#s(approx (exp (* -2 x)) (exp.f64 (*.f64 #s(literal -2 binary64) x)))

Calls

3 calls:

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

rewrite115.0ms (2.3%)

Memory

-18.5MiB live, 167.3MiB allocated; 16ms collecting garbage

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	8	31
0	14	31
1	70	31
2	251	31
3	1236	22
0	4268	22

Stop Event

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

Counts

8 → 473

Calls

Call 1

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

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

eval50.0ms (1.0%)

Memory: 35.7MiB live, 79.6MiB allocated; 4ms collecting garbage
Compiler: Compiled 11 930 to 1 544 computations (87.1% saved)

prune11.0ms (0.2%)

Memory

-17.8MiB live, 27.7MiB allocated; 3ms collecting garbage

Pruning

4 alts after pruning (0 fresh and 4 done)

	Pruned	Kept	Total
New	488	0	488
Fresh	0	0	0
Picked	0	1	1
Done	0	3	3
Total	488	4	492

Accuracy

100.0%

Counts

492 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	98.8%	(/.f64 (expm1.f64 (+.f64 x x)) (-.f64 (exp.f64 (+.f64 x x)) #s(literal -1 binary64)))
✓	100.0%	(/.f64 (expm1.f64 (.f64 #s(literal -2 binary64) x)) (-.f64 #s(literal -1 binary64) (exp.f64 (.f64 #s(literal -2 binary64) x))))
✓	100.0%	(tanh.f64 x)
✓	97.7%	#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) x)

Compiler

Compiled 39 to 25 computations (35.9% saved)

regimes8.0ms (0.2%)

Memory

30.5MiB live, 30.5MiB allocated; 0ms collecting garbage

Counts

1 → 1

6 → 1

Calls

Call 1

Inputs
#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) x)

Outputs
#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) x)

Call 2

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

Outputs
(tanh.f64 x)

Calls

4 calls:

2.0ms	x
2.0ms	(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
1.0ms	x
1.0ms	(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))

Results

Accuracy	Segments	Branch
97.7%	1	`(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))`
97.7%	1	`x`
100.0%	1	`(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))`
100.0%	1	`x`

Compiler

Compiled 92 to 47 computations (48.9% saved)

derivations23.0ms (0.5%)

Memory

-35.7MiB live, 6.3MiB allocated; 5ms collecting garbage

Stop Event

1×

done

Compiler

Compiled 17 to 9 computations (47.1% saved)

preprocess13.0ms (0.3%)

Memory: 23.7MiB live, 23.7MiB allocated; 0ms collecting garbage
Compiler: Compiled 64 to 36 computations (43.8% saved)

end0.0ms (0.0%)

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

start0.0ms (0.0%)

analyze0.0ms (0.0%)

sample4.2s (83.4%)

preprocess98.0ms (1.9%)

sample0.0ms (0.0%)

series11.0ms (0.2%)

rewrite142.0ms (2.8%)

eval123.0ms (2.4%)

prune13.0ms (0.3%)

sample0.0ms (0.0%)

series20.0ms (0.4%)

rewrite125.0ms (2.5%)

eval62.0ms (1.2%)

prune16.0ms (0.3%)

sample0.0ms (0.0%)

series7.0ms (0.1%)

rewrite115.0ms (2.3%)

eval50.0ms (1.0%)

prune11.0ms (0.2%)

regimes8.0ms (0.2%)

derivations23.0ms (0.5%)

preprocess13.0ms (0.3%)

end0.0ms (0.0%)

Profiling