Metrics for Hyperbolic tangent

start0.0ms (0.0%)

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

analyze0.0ms (0.0%)

Memory

0.5MiB live, 0.5MiB 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)

sample3.8s (81.2%)

Memory

105.1MiB live, 5 773.6MiB allocated; 855ms collecting garbage

Samples

1.5s	3 345×	2	valid
847.0ms	4 577×	1	valid
734.0ms	7 802×	0	exit
18.0ms	334×	0	valid

Precisions

Click to see histograms. Total time spent on operations: 2.3s

ival-exp: 1.5s (66.6% of total)

adjust: 285.0ms (12.3% of total)

ival-div!: 183.0ms (7.9% of total)

ival-neg: 144.0ms (6.2% of total)

ival-sub!: 88.0ms (3.8% of total)

ival-add!: 73.0ms (3.1% of total)

Bogosity

preprocess59.0ms (1.2%)

Memory

-29.3MiB live, 63.0MiB allocated; 9ms 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
▶	10.6%	(/.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

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

Calls

Call 1

Inputs

Outputs

series11.0ms (0.2%)

Memory

28.1MiB live, 28.1MiB allocated; 0ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	119	445

Stop Event

1×	iter-limit

Counts

7 → 29

Calls

Call 1

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

Outputs
#s(approx x 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 (neg x) (*.f64 #s(literal -1 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 (- (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) (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 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.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))) (+.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 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 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))))
#s(approx (+ (exp x) (exp (neg x))) (+.f64 (exp.f64 x) (exp.f64 (*.f64 #s(literal -1 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)))))

Calls

3 calls:

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

rewrite199.0ms (4.2%)

Memory

-17.1MiB live, 277.5MiB allocated; 22ms 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
x
(exp.f64 x)
(neg.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)))
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))

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

eval69.0ms (1.5%)

Memory: 11.4MiB live, 149.2MiB allocated; 11ms collecting garbage
Compiler: Compiled 16 625 to 2 559 computations (84.6% saved)

prune15.0ms (0.3%)

Memory

-19.5MiB live, 31.8MiB allocated; 4ms collecting garbage

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	741	4	745
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	742	4	746

Accuracy

100.0%

Counts

746 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	98.4%	(/.f64 (expm1.f64 (+.f64 x x)) (-.f64 (exp.f64 (+.f64 x x)) #s(literal -1 binary64)))
▶	98.4%	(*.f64 (sinh.f64 x) (/.f64 #s(literal 1 binary64) (cosh.f64 x)))
▶	100.0%	(tanh.f64 x)
▶	96.8%	#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))))))

Compiler

Compiled 43 to 30 computations (30.2% saved)

sample0.0ms (0.0%)

Memory

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

Calls

Call 1

Inputs
1
-1/3
2
-1

Outputs
#s(literal 1 binary64)
#s(literal -6004799503160661/18014398509481984 binary64)
#s(literal 2 binary64)
#s(literal -1 binary64)

Samples

0.0ms

1×

valid

Compiler

Compiled 6 to 6 computations (0.0% saved)

Precisions

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

adjust: 0.0ms (0.0% of total)

series21.0ms (0.4%)

Memory

21.5MiB live, 21.5MiB allocated; 0ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	188	740

Stop Event

1×	iter-limit

Counts

20 → 46

Calls

Call 1

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

Outputs
#s(approx x x)
#s(approx (pow x 2) (pow.f64 x #s(literal 2 binary64)))
#s(approx (* -1/3 (pow x 2)) (*.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 2 binary64))))
#s(approx (+ 1 (* -1/3 (pow x 2))) #s(literal 1 binary64))
#s(approx (+ 1 (* -1/3 (pow x 2))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 2 binary64)))))
#s(approx (* x (+ 1 (* -1/3 (pow x 2)))) (.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 (sinh x) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 2 binary64))))))
#s(approx (sinh x) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/6 binary64) (*.f64 #s(literal 1/120 binary64) (pow.f64 x #s(literal 2 binary64))))))))
#s(approx (sinh x) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/6 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/120 binary64) (.f64 #s(literal 1/5040 binary64) (pow.f64 x #s(literal 2 binary64))))))))))
#s(approx (cosh x) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))))
#s(approx (cosh x) (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/24 binary64) (pow.f64 x #s(literal 2 binary64)))))))
#s(approx (cosh x) (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/24 binary64) (*.f64 #s(literal 1/720 binary64) (pow.f64 x #s(literal 2 binary64)))))))))
#s(approx (/ 1 (cosh x)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)))))
#s(approx (/ 1 (cosh x)) (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 5/24 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64)))))
#s(approx (/ 1 (cosh 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 5/24 binary64) (*.f64 #s(literal -61/720 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal 1/2 binary64)))))
#s(approx (+ x x) (*.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)) (+.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 (- (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 (+ 1 (* -1/3 (pow x 2))) (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/3 binary64))))
#s(approx (* x (+ 1 (* -1/3 (pow x 2)))) (*.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 3 binary64))))
#s(approx (* x (+ 1 (* -1/3 (pow x 2)))) (*.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (/.f64 #s(literal 1 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 (-.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 (sinh x) (*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 x) (/.f64 #s(literal 1 binary64) (exp.f64 x)))))
#s(approx (cosh x) (*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 x) (/.f64 #s(literal 1 binary64) (exp.f64 x)))))
#s(approx (/ 1 (cosh x)) (/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (/.f64 #s(literal 1 binary64) (exp.f64 x)))))
#s(approx (- (exp (+ x x)) 1) (expm1.f64 (*.f64 #s(literal 2 binary64) x)))
#s(approx (exp (+ x x)) (exp.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)) 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 (* x (+ 1 (* -1/3 (pow x 2)))) (.f64 #s(literal -1 binary64) (.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 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 (.f64 #s(literal -1 binary64) x))) (+.f64 (exp.f64 x) (exp.f64 (.f64 #s(literal -1 binary64) x)))))
#s(approx (- (exp (+ x x)) 1) (expm1.f64 (neg.f64 (*.f64 #s(literal -2 binary64) x))))
#s(approx (exp (+ x x)) (exp.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)) 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))))))

Calls

3 calls:

Time	Variable	Point
6.0ms	x	inf
5.0ms	x	-inf
3.0ms	x	0

rewrite156.0ms (3.3%)

Memory

18.9MiB live, 249.4MiB allocated; 29ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	26	97
0	40	72
1	215	72
2	955	68
0	4132	65

Stop Event

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

Counts

20 → 996

Calls

Call 1

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

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

eval62.0ms (1.3%)

Memory: 11.2MiB live, 102.6MiB allocated; 9ms collecting garbage
Compiler: Compiled 12 624 to 2 115 computations (83.2% saved)

prune52.0ms (1.1%)

Memory

-38.0MiB live, 17.5MiB allocated; 17ms collecting garbage

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	598	2	600
Fresh	0	0	0
Picked	4	0	4
Done	-3	3	0
Total	599	5	604

Accuracy

100.0%

Counts

604 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	98.4%	(/.f64 (expm1.f64 (+.f64 x x)) (-.f64 (exp.f64 (+.f64 x x)) #s(literal -1 binary64)))
✓	98.4%	(*.f64 (sinh.f64 x) (/.f64 #s(literal 1 binary64) (cosh.f64 x)))
✓	100.0%	(tanh.f64 x)
▶	96.8%	#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (fma.f64 (.f64 (.f64 x x) x) #s(literal -1/3 binary64) x))
▶	96.1%	#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (.f64 x #s(approx (+ 1 ( -1/3 (pow x 2))) #s(literal 1 binary64))))

Compiler

Compiled 67 to 44 computations (34.3% saved)

sample0.0ms (0.0%)

Memory

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

Calls

Call 1

Inputs
1
-1/3

Outputs
#s(literal 1 binary64)
#s(literal -6004799503160661/18014398509481984 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)

series8.0ms (0.2%)

Memory

8.6MiB live, 8.6MiB allocated; 0ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	62	273

Stop Event

1×	iter-limit

Counts

10 → 15

Calls

Call 1

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

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

Calls

3 calls:

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

rewrite155.0ms (3.3%)

Memory

29.6MiB live, 167.5MiB allocated; 10ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	20	86
0	25	58
1	139	58
2	564	58
3	3256	58
0	4048	55

Stop Event

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

Counts

10 → 113

Calls

Call 1

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

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

eval34.0ms (0.7%)

Memory: -23.6MiB live, 27.4MiB allocated; 9ms collecting garbage
Compiler: Compiled 3 350 to 525 computations (84.3% saved)

prune4.0ms (0.1%)

Memory

9.1MiB live, 9.1MiB allocated; 0ms collecting garbage

Pruning

5 alts after pruning (0 fresh and 5 done)

	Pruned	Kept	Total
New	121	0	121
Fresh	0	0	0
Picked	2	0	2
Done	-2	5	3
Total	121	5	126

Accuracy

100.0%

Counts

126 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	98.4%	(/.f64 (expm1.f64 (+.f64 x x)) (-.f64 (exp.f64 (+.f64 x x)) #s(literal -1 binary64)))
✓	98.4%	(*.f64 (sinh.f64 x) (/.f64 #s(literal 1 binary64) (cosh.f64 x)))
✓	100.0%	(tanh.f64 x)
✓	96.8%	#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (fma.f64 (.f64 (.f64 x x) x) #s(literal -1/3 binary64) x))
✓	96.1%	#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (.f64 x #s(approx (+ 1 ( -1/3 (pow x 2))) #s(literal 1 binary64))))

Compiler

Compiled 67 to 44 computations (34.3% saved)

regimes12.0ms (0.2%)

Memory

-24.4MiB live, 21.5MiB allocated; 3ms collecting garbage

Counts

1 → 1

7 → 1

Calls

Call 1

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

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

Call 2

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

3.0ms	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
96.1%	1	`(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))`
96.1%	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 131 to 61 computations (53.4% saved)

derivations20.0ms (0.4%)

Memory

5.5MiB live, 52.9MiB allocated; 2ms collecting garbage

Stop Event

1×

done

Compiler

Compiled 27 to 18 computations (33.3% saved)

preprocess12.0ms (0.3%)

Memory: 34.6MiB live, 82.1MiB allocated; 2ms collecting garbage
Compiler: Compiled 94 to 63 computations (33.0% saved)

end0.0ms (0.0%)

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

start0.0ms (0.0%)

analyze0.0ms (0.0%)

sample3.8s (81.2%)

preprocess59.0ms (1.2%)

sample0.0ms (0.0%)

series11.0ms (0.2%)

rewrite199.0ms (4.2%)

eval69.0ms (1.5%)

prune15.0ms (0.3%)

sample0.0ms (0.0%)

series21.0ms (0.4%)

rewrite156.0ms (3.3%)

eval62.0ms (1.3%)

prune52.0ms (1.1%)

sample0.0ms (0.0%)

series8.0ms (0.2%)

rewrite155.0ms (3.3%)

eval34.0ms (0.7%)

prune4.0ms (0.1%)

regimes12.0ms (0.2%)

derivations20.0ms (0.4%)

preprocess12.0ms (0.3%)

end0.0ms (0.0%)

Profiling