Metrics for Hyperbolic tangent

start0.0ms (0%)

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

analyze0.0ms (0%)

Memory

1.4MiB live, 1.4MiB allocated; 0ms collecting garbage

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	100%	0%	0%	0%	0%	0
0%	0%	100%	0%	0%	0%	0%	1
100%	100%	0%	0%	0%	0%	0%	2

Compiler

Compiled 15 to 9 computations (40% saved)

sample4.3s (84.8%)

Memory

-12.5MiB live, 4 085.6MiB allocated; 2.0s collecting garbage

Samples

1.6s	4 628×	1	valid
1.4s	3 246×	2	valid
554.0ms	7 549×	0	exit
53.0ms	382×	0	valid

Precisions

Click to see histograms. Total time spent on operations: 3.0s

ival-exp: 2.3s (77.1% of total)

adjust: 271.0ms (9% of total)

ival-div!: 202.0ms (6.7% of total)

ival-sub!: 89.0ms (3% of total)

ival-add!: 67.0ms (2.2% of total)

ival-neg: 60.0ms (2% of total)

Bogosity

preprocess52.0ms (1%)

Memory

-23.0MiB live, 23.7MiB allocated; 4ms 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
▶	10.0%	(/.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)

series8.0ms (0.2%)

Memory

15.4MiB live, 15.4MiB 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

rewrite157.0ms (3.1%)

Memory

-3.2MiB live, 183.1MiB allocated; 23ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	33
0	13	18
1	66	18
2	721	18
0	8607	18

Stop Event

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

Counts

7 → 690

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

eval116.0ms (2.3%)

Memory: 1.7MiB live, 122.5MiB allocated; 58ms collecting garbage
Compiler: Compiled 21 501 to 2 499 computations (88.4% saved)

prune34.0ms (0.7%)

Memory

-27.6MiB live, 19.7MiB allocated; 2ms collecting garbage

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	710	3	713
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	711	3	714

Accuracy

100.0%

Counts

714 → 3

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(tanh.f64 x)
▶	96.6%	#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))))))
▶	96.3%	#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) x)

Status

Accuracy

Program

▶

100.0%

(tanh.f64 x)

▶

96.6%

#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))))))

▶

96.3%

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

Compiler

Compiled 40 to 25 computations (37.5% saved)

series9.0ms (0.2%)

Memory

16.0MiB live, 16.0MiB allocated; 0ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	65	296

Stop Event

1×	iter-limit

Counts

11 → 15

Calls

Call 1

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

Calls

3 calls:

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

rewrite90.0ms (1.7%)

Memory

-23.6MiB live, 72.4MiB allocated; 16ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	68
0	22	46
1	124	46
0	1266	43

Stop Event

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

Counts

11 → 144

Calls

Call 1

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

Outputs
#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) x)
x
#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 #s(literal 1 binary64) (/.f64 (.f64 (.f64 (.f64 x x) #s(literal -1/3 binary64)) x) x)) x)
(.f64 (.f64 (fma.f64 (*.f64 x x) #s(literal -1/3 binary64) #s(literal 1 binary64)) x) #s(literal 1 binary64))
(.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 x (-.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/9 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 (*.f64 x x) #s(literal -1/3 binary64))))
(/.f64 (.f64 x (fma.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/9 binary64)) (.f64 (.f64 x x) #s(literal -1/3 binary64)) #s(literal 1 binary64))) (fma.f64 (.f64 (.f64 x x) #s(literal -1/3 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) (.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/9 binary64))) x) (-.f64 #s(literal 1 binary64) (.f64 (*.f64 x x) #s(literal -1/3 binary64))))
(/.f64 (.f64 (fma.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/9 binary64)) (.f64 (.f64 x x) #s(literal -1/3 binary64)) #s(literal 1 binary64)) x) (fma.f64 (.f64 (.f64 x x) #s(literal -1/3 binary64)) (-.f64 (.f64 (*.f64 x x) #s(literal -1/3 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)))
(/.f64 (-.f64 (.f64 x x) (.f64 (.f64 (.f64 (.f64 x x) #s(literal -1/3 binary64)) x) (.f64 (.f64 (.f64 x x) #s(literal -1/3 binary64)) x))) (-.f64 x (.f64 (.f64 (*.f64 x x) #s(literal -1/3 binary64)) x)))
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (.f64 (.f64 (.f64 x x) #s(literal -1/3 binary64)) x) #s(literal 3 binary64))) (fma.f64 x x (-.f64 (.f64 (.f64 (.f64 (.f64 x x) #s(literal -1/3 binary64)) x) (.f64 (.f64 (.f64 x x) #s(literal -1/3 binary64)) x)) (.f64 x (.f64 (.f64 (.f64 x x) #s(literal -1/3 binary64)) x)))))
(fma.f64 (.f64 x (.f64 x x)) #s(literal -1/3 binary64) x)
(fma.f64 (.f64 x #s(literal -1/3 binary64)) (.f64 x x) 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) #s(literal -1/3 binary64)) x)))
(+.f64 (.f64 (.f64 (*.f64 x x) #s(literal -1/3 binary64)) x) x)
(+.f64 x (.f64 (.f64 (*.f64 x x) #s(literal -1/3 binary64)) x))
(.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) (.f64 x x)) #s(literal 1/9 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (.f64 (*.f64 x x) #s(literal -1/3 binary64)))))
(.f64 (fma.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/9 binary64)) (.f64 (.f64 x x) #s(literal -1/3 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (.f64 x x) #s(literal -1/3 binary64)) (-.f64 (.f64 (*.f64 x x) #s(literal -1/3 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))))
(.f64 (fma.f64 (.f64 x x) #s(literal -1/3 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))
(.f64 #s(literal 1 binary64) (fma.f64 (.f64 x x) #s(literal -1/3 binary64) #s(literal 1 binary64)))
(/.f64 (.f64 (fma.f64 (.f64 x x) #s(literal -1/3 binary64) #s(literal 1 binary64)) #s(literal 2 binary64)) #s(literal 2 binary64))
(/.f64 (fma.f64 (.f64 (.f64 x x) #s(literal -1/3 binary64)) #s(literal 2 binary64) #s(literal 2 binary64)) #s(literal 2 binary64))
(/.f64 (+.f64 #s(literal 2 binary64) (.f64 (.f64 (*.f64 x x) #s(literal -1/3 binary64)) #s(literal 2 binary64))) #s(literal 2 binary64))
(/.f64 (-.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/9 binary64)) #s(literal 1 binary64)) (-.f64 (.f64 (.f64 x x) #s(literal -1/3 binary64)) #s(literal 1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 #s(literal 1/3 binary64) (.f64 x x)) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/9 binary64) (.f64 #s(literal 1 binary64) (.f64 #s(literal 1/3 binary64) (.f64 x x))))))
(/.f64 (+.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) (.f64 (*.f64 x x) #s(literal -1/3 binary64)))) #s(literal 2 binary64))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/9 binary64)))) (neg.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal -1/3 binary64)))))
(/.f64 (neg.f64 (fma.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/9 binary64)) (.f64 (.f64 x x) #s(literal -1/3 binary64)) #s(literal 1 binary64))) (neg.f64 (fma.f64 (.f64 (.f64 x x) #s(literal -1/3 binary64)) (-.f64 (.f64 (.f64 x x) #s(literal -1/3 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/9 binary64))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal -1/3 binary64))))
(/.f64 (fma.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/9 binary64)) (.f64 (.f64 x x) #s(literal -1/3 binary64)) #s(literal 1 binary64)) (fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/9 binary64) (-.f64 #s(literal 1 binary64) (.f64 (*.f64 x x) #s(literal -1/3 binary64)))))
(/.f64 (fma.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/9 binary64)) (.f64 (.f64 x x) #s(literal -1/3 binary64)) #s(literal 1 binary64)) (fma.f64 (.f64 (.f64 x x) #s(literal -1/3 binary64)) (-.f64 (.f64 (.f64 x x) #s(literal -1/3 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)))
(/.f64 (fma.f64 (*.f64 x x) #s(literal -1/3 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal -1/3 binary64))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/9 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (.f64 (.f64 x x) #s(literal -1/3 binary64)) (-.f64 (.f64 (.f64 x x) #s(literal -1/3 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (fma.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/9 binary64)) (.f64 (.f64 x x) #s(literal -1/3 binary64)) #s(literal 1 binary64))))
(neg.f64 (-.f64 (.f64 #s(literal 1/3 binary64) (.f64 x x)) #s(literal 1 binary64)))
(fma.f64 (.f64 #s(literal 1 binary64) (.f64 x x)) #s(literal -1/3 binary64) #s(literal 1 binary64))
(fma.f64 (*.f64 #s(literal -1/3 binary64) x) x #s(literal 1 binary64))
(fma.f64 (/.f64 (.f64 (.f64 x x) #s(literal -1/3 binary64)) #s(literal 2 binary64)) #s(literal 2 binary64) #s(literal 1 binary64))
(fma.f64 (/.f64 (*.f64 x x) #s(literal 1 binary64)) #s(literal -1/3 binary64) #s(literal 1 binary64))
(fma.f64 (.f64 (.f64 x x) #s(literal -1/3 binary64)) #s(literal 1 binary64) #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 (*.f64 x x) #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 #s(literal -1/3 binary64) (*.f64 x x) #s(literal 1 binary64))
(fma.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal -1/3 binary64)) #s(literal 1 binary64))
(fma.f64 x (*.f64 x #s(literal -1/3 binary64)) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal -1/3 binary64)))) (/.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/9 binary64)) (-.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal -1/3 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 #s(literal 1 binary64) (fma.f64 (.f64 (.f64 x x) #s(literal -1/3 binary64)) (-.f64 (.f64 (.f64 x x) #s(literal -1/3 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) (/.f64 (.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/9 binary64)) (.f64 (.f64 x x) #s(literal -1/3 binary64))) (fma.f64 (.f64 (.f64 x x) #s(literal -1/3 binary64)) (-.f64 (.f64 (*.f64 x x) #s(literal -1/3 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))))
(+.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)))
#s(literal 1 binary64)
(.f64 (.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal -1/3 binary64))
(.f64 (.f64 #s(literal -1/3 binary64) x) x)
(.f64 (/.f64 (.f64 (*.f64 x x) #s(literal -1/3 binary64)) #s(literal 2 binary64)) #s(literal 2 binary64))
(.f64 (/.f64 (.f64 x x) #s(literal 1 binary64)) #s(literal -1/3 binary64))
(.f64 (.f64 (*.f64 x x) #s(literal -1/3 binary64)) #s(literal 1 binary64))
(.f64 (.f64 x x) #s(literal -1/3 binary64))
(.f64 #s(literal -1/3 binary64) (/.f64 (.f64 x x) #s(literal 1 binary64)))
(.f64 #s(literal -1/3 binary64) (.f64 x x))
(.f64 #s(literal 1 binary64) (.f64 (*.f64 x x) #s(literal -1/3 binary64)))
(.f64 x (.f64 x #s(literal -1/3 binary64)))
(/.f64 (.f64 #s(literal 2 binary64) (.f64 (*.f64 x x) #s(literal -1/3 binary64))) #s(literal 2 binary64))
(/.f64 (.f64 #s(literal 1/3 binary64) (.f64 x x)) #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 binary64) (.f64 (.f64 x x) #s(literal -1/3 binary64))))
#s(literal -1/3 binary64)
(*.f64 (fabs.f64 x) (fabs.f64 x))
(*.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 x)))
(*.f64 (neg.f64 x) (neg.f64 x))
(*.f64 x x)
(pow.f64 (exp.f64 (log.f64 x)) #s(literal 2 binary64))
(pow.f64 (*.f64 x x) #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 (cosh.f64 (.f64 (log.f64 x) #s(literal 2 binary64))) (sinh.f64 (.f64 (log.f64 x) #s(literal 2 binary64))))
#s(literal 2 binary64)
(tanh.f64 x)
(.f64 (/.f64 (.f64 (sinh.f64 x) #s(literal 2 binary64)) (+.f64 (exp.f64 (.f64 (neg.f64 x) #s(literal 3 binary64))) (exp.f64 (.f64 x #s(literal 3 binary64))))) (+.f64 (expm1.f64 (-.f64 (neg.f64 x) x)) (exp.f64 (+.f64 x x))))
(.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (exp.f64 (neg.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 (exp.f64 x) (/.f64 #s(literal 1/2 binary64) (cosh.f64 x))))
(*.f64 (/.f64 (neg.f64 (expm1.f64 (-.f64 (neg.f64 x) x))) (-.f64 (exp.f64 (-.f64 (neg.f64 x) x)) #s(literal -1 binary64))) #s(literal 1 binary64))
(*.f64 (/.f64 (neg.f64 (expm1.f64 (-.f64 (neg.f64 x) x))) #s(literal 2 binary64)) (/.f64 (exp.f64 x) (cosh.f64 x)))
(*.f64 (/.f64 #s(literal 2 binary64) (-.f64 (exp.f64 (-.f64 (neg.f64 x) x)) #s(literal -1 binary64))) (/.f64 (sinh.f64 x) (exp.f64 x)))
(.f64 (/.f64 #s(literal 1/2 binary64) (cosh.f64 x)) (.f64 (sinh.f64 x) #s(literal 2 binary64)))
(.f64 (neg.f64 (expm1.f64 (-.f64 (neg.f64 x) x))) (.f64 (exp.f64 x) (/.f64 #s(literal 1/2 binary64) (cosh.f64 x))))
(.f64 (.f64 #s(literal -2 binary64) (sinh.f64 x)) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal -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 (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 (sinh.f64 x) (.f64 (cosh.f64 x) #s(literal 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)))
(pow.f64 (/.f64 #s(literal 1 binary64) (tanh.f64 x)) #s(literal -1 binary64))
(/.f64 (.f64 (.f64 (sinh.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 (cosh.f64 x) #s(literal 2 binary64)))
(/.f64 (.f64 (-.f64 (exp.f64 (.f64 x #s(literal 3 binary64))) (exp.f64 (*.f64 (neg.f64 x) #s(literal 3 binary64)))) (/.f64 #s(literal 1/2 binary64) (cosh.f64 x))) (+.f64 (-.f64 (exp.f64 (-.f64 (neg.f64 x) x)) #s(literal -1 binary64)) (exp.f64 (+.f64 x x))))
(/.f64 (/.f64 (*.f64 (sinh.f64 x) #s(literal 2 binary64)) (-.f64 (exp.f64 (-.f64 (neg.f64 x) x)) #s(literal -1 binary64))) (exp.f64 x))
(/.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 (cosh.f64 x) #s(literal 2 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 (exp.f64 (neg.f64 x)) (/.f64 #s(literal 1/2 binary64) (cosh.f64 x))) (.f64 (exp.f64 (neg.f64 x)) (/.f64 #s(literal 1/2 binary64) (cosh.f64 x))))) (fma.f64 (exp.f64 x) (/.f64 #s(literal 1/2 binary64) (cosh.f64 x)) (*.f64 (exp.f64 (neg.f64 x)) (/.f64 #s(literal 1/2 binary64) (cosh.f64 x)))))
(/.f64 (-.f64 (pow.f64 (.f64 (exp.f64 x) (/.f64 #s(literal 1/2 binary64) (cosh.f64 x))) #s(literal 3 binary64)) (pow.f64 (.f64 (exp.f64 (neg.f64 x)) (/.f64 #s(literal 1/2 binary64) (cosh.f64 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))) (fma.f64 (.f64 (exp.f64 (neg.f64 x)) (/.f64 #s(literal 1/2 binary64) (cosh.f64 x))) (.f64 (exp.f64 (neg.f64 x)) (/.f64 #s(literal 1/2 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 1/2 binary64) (cosh.f64 x)))))))
(/.f64 (-.f64 (.f64 (exp.f64 x) (.f64 (cosh.f64 x) #s(literal 2 binary64))) (.f64 (.f64 (cosh.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x)))) (.f64 (.f64 (cosh.f64 x) #s(literal 2 binary64)) (*.f64 (cosh.f64 x) #s(literal 2 binary64))))
(/.f64 (.f64 (-.f64 (exp.f64 (+.f64 x x)) (exp.f64 (-.f64 (neg.f64 x) x))) #s(literal 1 binary64)) (.f64 (.f64 (cosh.f64 x) #s(literal 2 binary64)) (.f64 (cosh.f64 x) #s(literal 2 binary64))))
(/.f64 (.f64 (-.f64 (exp.f64 (.f64 x #s(literal 3 binary64))) (exp.f64 (.f64 (neg.f64 x) #s(literal 3 binary64)))) #s(literal 1 binary64)) (.f64 (+.f64 (-.f64 (exp.f64 (-.f64 (neg.f64 x) x)) #s(literal -1 binary64)) (exp.f64 (+.f64 x x))) (*.f64 (cosh.f64 x) #s(literal 2 binary64))))
(/.f64 (neg.f64 (expm1.f64 (+.f64 x x))) (neg.f64 (-.f64 (exp.f64 (+.f64 x x)) #s(literal -1 binary64))))
(/.f64 (neg.f64 (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 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (tanh.f64 x))))
(/.f64 (-.f64 (exp.f64 (+.f64 x x)) (exp.f64 (-.f64 (neg.f64 x) x))) (.f64 (.f64 (cosh.f64 x) #s(literal 2 binary64)) (*.f64 (cosh.f64 x) #s(literal 2 binary64))))
(/.f64 (-.f64 (exp.f64 (.f64 x #s(literal 3 binary64))) (exp.f64 (.f64 (neg.f64 x) #s(literal 3 binary64)))) (.f64 (+.f64 (-.f64 (exp.f64 (-.f64 (neg.f64 x) x)) #s(literal -1 binary64)) (exp.f64 (+.f64 x x))) (.f64 (cosh.f64 x) #s(literal 2 binary64))))
(/.f64 (.f64 #s(literal -2 binary64) (sinh.f64 x)) (.f64 #s(literal -2 binary64) (cosh.f64 x)))
(/.f64 (expm1.f64 (+.f64 x x)) (-.f64 (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)))
(/.f64 (sinh.f64 x) (cosh.f64 x))
(/.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (tanh.f64 x))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (exp.f64 (+.f64 x x)) #s(literal -1 binary64)) (expm1.f64 (+.f64 x x))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (exp.f64 (.f64 #s(literal -2 binary64) x)) #s(literal 1 binary64)) (neg.f64 (expm1.f64 (.f64 #s(literal -2 binary64) x)))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (tanh.f64 x)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (tanh.f64 x)))
(/.f64 (.f64 (sinh.f64 x) #s(literal 2 binary64)) (.f64 (cosh.f64 x) #s(literal 2 binary64)))
(neg.f64 (.f64 (.f64 #s(literal -2 binary64) (sinh.f64 x)) (/.f64 #s(literal 1/2 binary64) (cosh.f64 x))))
(neg.f64 (/.f64 (.f64 (sinh.f64 x) #s(literal 2 binary64)) (.f64 #s(literal -2 binary64) (cosh.f64 x))))
(neg.f64 (/.f64 (.f64 #s(literal -2 binary64) (sinh.f64 x)) (.f64 (cosh.f64 x) #s(literal 2 binary64))))
(neg.f64 (-.f64 (.f64 (exp.f64 (neg.f64 x)) (/.f64 #s(literal 1/2 binary64) (cosh.f64 x))) (.f64 (exp.f64 x) (/.f64 #s(literal 1/2 binary64) (cosh.f64 x)))))
(fma.f64 (/.f64 (exp.f64 x) (-.f64 (exp.f64 (+.f64 x x)) (exp.f64 (-.f64 (neg.f64 x) x)))) (.f64 (sinh.f64 x) #s(literal 2 binary64)) (neg.f64 (.f64 (exp.f64 (neg.f64 x)) (/.f64 #s(literal 1/2 binary64) (cosh.f64 x)))))
(fma.f64 (/.f64 (exp.f64 x) (-.f64 (exp.f64 (+.f64 x x)) (exp.f64 (-.f64 (neg.f64 x) x)))) (.f64 (sinh.f64 x) #s(literal 2 binary64)) (/.f64 (neg.f64 (exp.f64 (neg.f64 x))) (.f64 (cosh.f64 x) #s(literal 2 binary64))))
(fma.f64 (/.f64 (exp.f64 x) (+.f64 (exp.f64 (.f64 (neg.f64 x) #s(literal 3 binary64))) (exp.f64 (.f64 x #s(literal 3 binary64))))) (+.f64 (expm1.f64 (-.f64 (neg.f64 x) x)) (exp.f64 (+.f64 x x))) (neg.f64 (*.f64 (exp.f64 (neg.f64 x)) (/.f64 #s(literal 1/2 binary64) (cosh.f64 x)))))
(fma.f64 (/.f64 (exp.f64 x) (+.f64 (exp.f64 (.f64 (neg.f64 x) #s(literal 3 binary64))) (exp.f64 (.f64 x #s(literal 3 binary64))))) (+.f64 (expm1.f64 (-.f64 (neg.f64 x) x)) (exp.f64 (+.f64 x x))) (/.f64 (neg.f64 (exp.f64 (neg.f64 x))) (*.f64 (cosh.f64 x) #s(literal 2 binary64))))
(fma.f64 (exp.f64 x) (/.f64 #s(literal 1/2 binary64) (cosh.f64 x)) (neg.f64 (*.f64 (exp.f64 (neg.f64 x)) (/.f64 #s(literal 1/2 binary64) (cosh.f64 x)))))
(fma.f64 (exp.f64 x) (/.f64 #s(literal 1/2 binary64) (cosh.f64 x)) (/.f64 (neg.f64 (exp.f64 (neg.f64 x))) (*.f64 (cosh.f64 x) #s(literal 2 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 (exp.f64 x) (/.f64 #s(literal 1/2 binary64) (cosh.f64 x))) (.f64 (exp.f64 (neg.f64 x)) (/.f64 #s(literal 1/2 binary64) (cosh.f64 x))))
(+.f64 (.f64 (exp.f64 x) (/.f64 #s(literal 1/2 binary64) (cosh.f64 x))) (neg.f64 (.f64 (exp.f64 (neg.f64 x)) (/.f64 #s(literal 1/2 binary64) (cosh.f64 x)))))
(+.f64 (.f64 (exp.f64 x) (/.f64 #s(literal 1/2 binary64) (cosh.f64 x))) (/.f64 (neg.f64 (exp.f64 (neg.f64 x))) (.f64 (cosh.f64 x) #s(literal 2 binary64))))

eval18.0ms (0.4%)

Memory: 45.4MiB live, 45.4MiB allocated; 0ms collecting garbage
Compiler: Compiled 3 709 to 554 computations (85.1% saved)

prune21.0ms (0.4%)

Memory

-35.4MiB live, 9.0MiB allocated; 6ms collecting garbage

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	149	1	150
Fresh	0	0	0
Picked	1	2	3
Done	0	0	0
Total	150	3	153

Accuracy

100.0%

Counts

153 → 3

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(tanh.f64 x)
▶	96.6%	#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (fma.f64 (.f64 (.f64 x x) #s(literal -1/3 binary64)) x x))
✓	96.3%	#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) x)

Status

Accuracy

Program

✓

100.0%

(tanh.f64 x)

▶

96.6%

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

✓

96.3%

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

Compiler

Compiled 39 to 22 computations (43.6% saved)

series6.0ms (0.1%)

Memory

15.4MiB live, 15.4MiB allocated; 0ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	59	232

Stop Event

1×	iter-limit

Counts

6 → 11

Calls

Call 1

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

Calls

3 calls:

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

rewrite185.0ms (3.6%)

Memory

9.6MiB live, 187.5MiB allocated; 35ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	40
0	16	29
1	97	27
2	1031	27
0	8446	25

Stop Event

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

Counts

6 → 117

Calls

Call 1

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

Outputs
#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (fma.f64 (.f64 #s(literal -1/3 binary64) (.f64 x x)) x x))
(.f64 (.f64 (+.f64 (/.f64 x (.f64 (.f64 #s(literal -1/3 binary64) (.f64 x x)) x)) #s(literal 1 binary64)) (.f64 #s(literal -1/3 binary64) (*.f64 x x))) x)
(.f64 (.f64 (+.f64 (/.f64 x (.f64 (.f64 #s(literal -1/3 binary64) (.f64 x x)) x)) #s(literal 1 binary64)) (.f64 x x)) (*.f64 #s(literal -1/3 binary64) x))
(.f64 (.f64 (+.f64 (/.f64 x (.f64 (.f64 #s(literal -1/3 binary64) (.f64 x x)) x)) #s(literal 1 binary64)) x) (.f64 #s(literal -1/3 binary64) (*.f64 x x)))
(.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 (neg.f64 x) (.f64 (.f64 #s(literal -1/3 binary64) (.f64 x x)) x))) (.f64 (.f64 #s(literal -1/3 binary64) (*.f64 x x)) x))
(.f64 (fma.f64 #s(literal -1/3 binary64) (.f64 x x) #s(literal 1 binary64)) x)
(.f64 (+.f64 (/.f64 x (.f64 (.f64 #s(literal -1/3 binary64) (.f64 x x)) x)) #s(literal 1 binary64)) (.f64 (.f64 #s(literal -1/3 binary64) (*.f64 x x)) x))
(.f64 (-.f64 (.f64 #s(literal 1/9 binary64) (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x))) (.f64 x x)) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 (.f64 #s(literal -1/3 binary64) (*.f64 x x)) x) x)))
(.f64 (fma.f64 (pow.f64 (.f64 (.f64 x x) x) #s(literal 3 binary64)) #s(literal -1/27 binary64) (.f64 (.f64 x x) x)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/9 binary64) (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x)) (.f64 x (-.f64 x (.f64 (.f64 #s(literal -1/3 binary64) (.f64 x x)) x))))))
(.f64 (.f64 (.f64 #s(literal -1/3 binary64) (.f64 x x)) x) (+.f64 (/.f64 x (.f64 (.f64 #s(literal -1/3 binary64) (*.f64 x x)) x)) #s(literal 1 binary64)))
(.f64 x (fma.f64 #s(literal -1/3 binary64) (.f64 x x) #s(literal 1 binary64)))
(pow.f64 (/.f64 (-.f64 x (.f64 (.f64 #s(literal -1/3 binary64) (.f64 x x)) x)) (-.f64 (.f64 x x) (.f64 #s(literal 1/9 binary64) (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x))))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 #s(literal 1/9 binary64) (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x)) (.f64 x (-.f64 x (.f64 (.f64 #s(literal -1/3 binary64) (.f64 x x)) x)))) (fma.f64 (pow.f64 (.f64 (.f64 x x) x) #s(literal 3 binary64)) #s(literal -1/27 binary64) (.f64 (*.f64 x x) x))) #s(literal -1 binary64))
(/.f64 (-.f64 (.f64 (/.f64 (.f64 #s(literal 1/9 binary64) (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x))) (-.f64 (.f64 (.f64 #s(literal -1/3 binary64) (.f64 x x)) x) x)) (-.f64 (.f64 (.f64 #s(literal -1/3 binary64) (.f64 x x)) x) x)) (.f64 x x)) (-.f64 (.f64 (.f64 #s(literal -1/3 binary64) (*.f64 x x)) x) x))
(/.f64 (fma.f64 (.f64 (pow.f64 (.f64 (.f64 x x) x) #s(literal 3 binary64)) #s(literal -1/27 binary64)) (fma.f64 #s(literal 1/9 binary64) (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x)) (.f64 x (-.f64 x (.f64 (.f64 #s(literal -1/3 binary64) (.f64 x x)) x)))) (.f64 (.f64 (.f64 x x) x) (fma.f64 #s(literal 1/9 binary64) (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x)) (.f64 x (-.f64 x (.f64 (.f64 #s(literal -1/3 binary64) (.f64 x x)) x)))))) (.f64 (fma.f64 #s(literal 1/9 binary64) (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x)) (.f64 x (-.f64 x (.f64 (.f64 #s(literal -1/3 binary64) (.f64 x x)) x)))) (fma.f64 #s(literal 1/9 binary64) (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x)) (.f64 x (-.f64 x (.f64 (.f64 #s(literal -1/3 binary64) (*.f64 x x)) x))))))
(/.f64 (-.f64 (.f64 (/.f64 (.f64 (pow.f64 (.f64 (.f64 x x) x) #s(literal 3 binary64)) #s(literal -1/27 binary64)) (fma.f64 #s(literal 1/9 binary64) (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x)) (.f64 x (-.f64 x (.f64 (.f64 #s(literal -1/3 binary64) (.f64 x x)) x))))) (/.f64 (.f64 (pow.f64 (.f64 (.f64 x x) x) #s(literal 3 binary64)) #s(literal -1/27 binary64)) (fma.f64 #s(literal 1/9 binary64) (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x)) (.f64 x (-.f64 x (.f64 (.f64 #s(literal -1/3 binary64) (.f64 x x)) x)))))) (.f64 (/.f64 (.f64 (.f64 x x) x) (fma.f64 #s(literal 1/9 binary64) (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x)) (.f64 x (-.f64 x (.f64 (.f64 #s(literal -1/3 binary64) (.f64 x x)) x))))) (/.f64 (.f64 (.f64 x x) x) (fma.f64 #s(literal 1/9 binary64) (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x)) (.f64 x (-.f64 x (.f64 (.f64 #s(literal -1/3 binary64) (.f64 x x)) x))))))) (-.f64 (/.f64 (.f64 (pow.f64 (.f64 (.f64 x x) x) #s(literal 3 binary64)) #s(literal -1/27 binary64)) (fma.f64 #s(literal 1/9 binary64) (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x)) (.f64 x (-.f64 x (.f64 (.f64 #s(literal -1/3 binary64) (.f64 x x)) x))))) (/.f64 (.f64 (.f64 x x) x) (fma.f64 #s(literal 1/9 binary64) (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x)) (.f64 x (-.f64 x (.f64 (.f64 #s(literal -1/3 binary64) (*.f64 x x)) x)))))))
(/.f64 (-.f64 (.f64 (/.f64 (.f64 #s(literal 1/9 binary64) (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x))) (-.f64 (.f64 (.f64 #s(literal -1/3 binary64) (.f64 x x)) x) x)) (/.f64 (.f64 #s(literal 1/9 binary64) (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x))) (-.f64 (.f64 (.f64 #s(literal -1/3 binary64) (.f64 x x)) x) x))) (.f64 (/.f64 (.f64 x x) (-.f64 (.f64 (.f64 #s(literal -1/3 binary64) (.f64 x x)) x) x)) (/.f64 (.f64 x x) (-.f64 (.f64 (.f64 #s(literal -1/3 binary64) (.f64 x x)) x) x)))) (+.f64 (/.f64 (.f64 #s(literal 1/9 binary64) (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x))) (-.f64 (.f64 (.f64 #s(literal -1/3 binary64) (.f64 x x)) x) x)) (/.f64 (.f64 x x) (-.f64 (.f64 (.f64 #s(literal -1/3 binary64) (*.f64 x x)) x) x))))
(/.f64 (-.f64 (.f64 x x) (.f64 (.f64 (neg.f64 (.f64 #s(literal -1/3 binary64) (.f64 x x))) x) (.f64 (neg.f64 (.f64 #s(literal -1/3 binary64) (.f64 x x))) x))) (+.f64 x (.f64 (neg.f64 (.f64 #s(literal -1/3 binary64) (*.f64 x x))) x)))
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(+.f64 (/.f64 (.f64 (cosh.f64 x) (exp.f64 x)) (/.f64 (fma.f64 #s(literal 1/9 binary64) (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x)) (.f64 x (-.f64 x (.f64 (.f64 #s(literal -1/3 binary64) (.f64 x x)) x)))) (fma.f64 (pow.f64 (.f64 (.f64 x x) x) #s(literal 3 binary64)) #s(literal -1/27 binary64) (.f64 (.f64 x x) x)))) (/.f64 (.f64 (sinh.f64 (neg.f64 x)) (exp.f64 x)) (/.f64 (fma.f64 #s(literal 1/9 binary64) (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x)) (.f64 x (-.f64 x (.f64 (.f64 #s(literal -1/3 binary64) (.f64 x x)) x)))) (fma.f64 (pow.f64 (.f64 (.f64 x x) x) #s(literal 3 binary64)) #s(literal -1/27 binary64) (.f64 (.f64 x x) x)))))
(+.f64 (/.f64 (.f64 #s(literal 1/9 binary64) (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x))) (-.f64 (.f64 (.f64 #s(literal -1/3 binary64) (.f64 x x)) x) x)) (/.f64 (.f64 x (neg.f64 x)) (-.f64 (.f64 (.f64 #s(literal -1/3 binary64) (*.f64 x x)) x) x)))
(+.f64 (/.f64 (.f64 #s(literal 1/9 binary64) (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x))) (-.f64 (.f64 (.f64 #s(literal -1/3 binary64) (.f64 x x)) x) x)) (/.f64 (.f64 (neg.f64 (fabs.f64 x)) (fabs.f64 x)) (-.f64 (.f64 (.f64 #s(literal -1/3 binary64) (*.f64 x x)) x) x)))
(+.f64 (/.f64 (.f64 #s(literal 1/9 binary64) (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x))) (-.f64 (.f64 (.f64 #s(literal -1/3 binary64) (.f64 x x)) x) x)) (/.f64 (.f64 (neg.f64 x) x) (-.f64 (.f64 (.f64 #s(literal -1/3 binary64) (*.f64 x x)) x) x)))
(+.f64 (/.f64 (.f64 #s(literal 1/9 binary64) (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x))) (-.f64 (.f64 (.f64 #s(literal -1/3 binary64) (.f64 x x)) x) x)) (/.f64 (neg.f64 (.f64 x x)) (-.f64 (.f64 (.f64 #s(literal -1/3 binary64) (*.f64 x x)) x) x)))
(+.f64 (/.f64 (.f64 (.f64 x x) x) (fma.f64 #s(literal 1/9 binary64) (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x)) (.f64 x (-.f64 x (.f64 (.f64 #s(literal -1/3 binary64) (.f64 x x)) x))))) (/.f64 (.f64 (pow.f64 (.f64 (.f64 x x) x) #s(literal 3 binary64)) #s(literal -1/27 binary64)) (fma.f64 #s(literal 1/9 binary64) (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x)) (.f64 x (-.f64 x (.f64 (.f64 #s(literal -1/3 binary64) (*.f64 x x)) x))))))
(+.f64 (/.f64 (.f64 (pow.f64 (.f64 (.f64 x x) x) #s(literal 3 binary64)) #s(literal -1/27 binary64)) (fma.f64 #s(literal 1/9 binary64) (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x)) (.f64 x (-.f64 x (.f64 (.f64 #s(literal -1/3 binary64) (.f64 x x)) x))))) (/.f64 (.f64 (.f64 x x) x) (fma.f64 #s(literal 1/9 binary64) (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x)) (.f64 x (-.f64 x (.f64 (.f64 #s(literal -1/3 binary64) (*.f64 x x)) x))))))
(+.f64 (.f64 (.f64 #s(literal -1/3 binary64) (*.f64 x x)) x) x)
(+.f64 x (.f64 (.f64 #s(literal -1/3 binary64) (*.f64 x x)) x))
(.f64 (.f64 #s(literal -1/3 binary64) (fabs.f64 x)) (fabs.f64 x))
(.f64 (.f64 #s(literal -1/3 binary64) (neg.f64 x)) (neg.f64 x))
(.f64 (.f64 #s(literal -1/3 binary64) x) x)
(.f64 (fabs.f64 x) (.f64 (fabs.f64 x) #s(literal -1/3 binary64)))
(.f64 #s(literal -1/3 binary64) (.f64 x x))
(.f64 (.f64 x x) #s(literal -1/3 binary64))
(.f64 (neg.f64 x) (.f64 (neg.f64 x) #s(literal -1/3 binary64)))
(.f64 x (.f64 #s(literal -1/3 binary64) x))
(*.f64 (neg.f64 (neg.f64 (fabs.f64 x))) (neg.f64 (neg.f64 (fabs.f64 x))))
(*.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.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 (fabs.f64 x) (fabs.f64 x))
(*.f64 (neg.f64 x) (neg.f64 x))
(*.f64 x x)
(pow.f64 (exp.f64 (log.f64 x)) #s(literal 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))
(neg.f64 (*.f64 x (neg.f64 x)))
(neg.f64 (*.f64 (neg.f64 x) x))
(sqrt.f64 (.f64 (.f64 x x) (*.f64 x x)))
(fabs.f64 (*.f64 x (neg.f64 x)))
(fabs.f64 (*.f64 (neg.f64 x) x))
(fabs.f64 (neg.f64 (*.f64 x x)))
(fabs.f64 (*.f64 x x))
(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 (cosh.f64 (.f64 (log.f64 x) #s(literal 2 binary64))) (sinh.f64 (.f64 (log.f64 x) #s(literal 2 binary64))))
x
#s(literal -1/3 binary64)

eval13.0ms (0.2%)

Memory: 26.4MiB live, 26.4MiB allocated; 0ms collecting garbage
Compiler: Compiled 5 765 to 532 computations (90.8% saved)

prune16.0ms (0.3%)

Memory

-35.9MiB live, 8.7MiB allocated; 4ms collecting garbage

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	123	0	123
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	123	3	126

Accuracy

100.0%

Counts

126 → 3

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(tanh.f64 x)
✓	96.6%	#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (fma.f64 (.f64 (.f64 x x) #s(literal -1/3 binary64)) x x))
✓	96.3%	#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) x)

Status

Accuracy

Program

✓

100.0%

(tanh.f64 x)

✓

96.6%

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

✓

96.3%

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

Compiler

Compiled 39 to 22 computations (43.6% saved)

regimes6.0ms (0.1%)

Memory

19.6MiB live, 19.6MiB allocated; 0ms collecting garbage

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

5 → 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)
#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (fma.f64 (.f64 (.f64 x x) #s(literal -1/3 binary64)) 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))))))
(/.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
1.0ms	(/.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
96.3%	1	`(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))`
96.3%	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 103 to 43 computations (58.3% saved)

derivations33.0ms (0.7%)

Memory

-19.5MiB live, 25.7MiB allocated; 5ms collecting garbage

Stop Event

1×

done

Compiler

Compiled 17 to 9 computations (47.1% saved)

preprocess17.0ms (0.3%)

Memory: 40.5MiB live, 40.5MiB allocated; 0ms collecting garbage
Remove: (negabs x)
Compiler: Compiled 64 to 36 computations (43.8% saved)

end0.0ms (0%)

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

start0.0ms (0%)

analyze0.0ms (0%)

sample4.3s (84.8%)

preprocess52.0ms (1%)

series8.0ms (0.2%)

rewrite157.0ms (3.1%)

eval116.0ms (2.3%)

prune34.0ms (0.7%)

series9.0ms (0.2%)

rewrite90.0ms (1.7%)

eval18.0ms (0.4%)

prune21.0ms (0.4%)

series6.0ms (0.1%)

rewrite185.0ms (3.6%)

eval13.0ms (0.2%)

prune16.0ms (0.3%)

regimes6.0ms (0.1%)

derivations33.0ms (0.7%)

preprocess17.0ms (0.3%)

end0.0ms (0%)

Profiling