Metrics for Hyperbolic tangent

start0.0ms (0%)

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

analyze0.0ms (0%)

Memory

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

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	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)

sample5.0s (89.5%)

Memory

29.3MiB live, 4 322.3MiB allocated; 3.0s collecting garbage

Samples

2.4s	3 326×	2	valid
1.0s	4 567×	1	valid
772.0ms	7 678×	0	exit
20.0ms	363×	0	valid

Precisions

Click to see histograms. Total time spent on operations: 3.5s

ival-exp: 2.6s (74.9% of total)

ival-div!: 256.0ms (7.3% of total)

adjust: 255.0ms (7.2% of total)

ival-neg: 203.0ms (5.8% of total)

ival-sub!: 101.0ms (2.9% of total)

ival-add!: 67.0ms (1.9% of total)

Bogosity

preprocess54.0ms (1%)

Memory

-30.6MiB live, 60.6MiB allocated; 7ms 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
▶	8.0%	(/.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)

series12.0ms (0.2%)

Memory

17.9MiB live, 17.9MiB 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

rewrite158.0ms (2.8%)

Memory

-3.7MiB live, 187.8MiB allocated; 11ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Counts

7 → 721

Calls

Call 1

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

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

eval105.0ms (1.9%)

Memory: -3.3MiB live, 159.9MiB allocated; 21ms collecting garbage
Compiler: Compiled 16 606 to 2 553 computations (84.6% saved)

prune15.0ms (0.3%)

Memory

-23.8MiB live, 23.1MiB allocated; 2ms collecting garbage

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	742	2	744
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	743	2	745

Accuracy

100.0%

Counts

745 → 2

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(tanh.f64 x)
▶	97.9%	#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) x)

Compiler

Compiled 17 to 10 computations (41.2% saved)

series8.0ms (0.1%)

Memory

9.0MiB live, 9.0MiB allocated; 0ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	47	176

Stop Event

1×	iter-limit

Counts

3 → 7

Calls

Call 1

Inputs
#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) x)
x
(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 (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))))
#s(approx (tanh x) (/.f64 (-.f64 (exp.f64 x) (/.f64 #s(literal 1 binary64) (exp.f64 x))) (+.f64 (exp.f64 x) (/.f64 #s(literal 1 binary64) (exp.f64 x)))))
#s(approx (/ (- (exp x) (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
0.0ms	x	0

rewrite147.0ms (2.7%)

Memory

6.0MiB live, 152.3MiB allocated; 8ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	18
0	10	7
1	75	7
2	414	7
3	2796	7
0	4397	7

Stop Event

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

Counts

3 → 255

Calls

Call 1

Inputs
#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) x)
x
(tanh.f64 x)

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

eval26.0ms (0.5%)

Memory: 21.7MiB live, 67.0MiB allocated; 4ms collecting garbage
Compiler: Compiled 4 910 to 647 computations (86.8% saved)

prune11.0ms (0.2%)

Memory

-38.0MiB live, 12.4MiB allocated; 7ms collecting garbage

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	258	0	258
Fresh	0	0	0
Picked	0	2	2
Done	0	0	0
Total	258	2	260

Accuracy

100.0%

Counts

260 → 2

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(tanh.f64 x)
✓	97.9%	#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) x)

Compiler

Compiled 17 to 10 computations (41.2% saved)

regimes5.0ms (0.1%)

Memory

8.9MiB live, 8.9MiB allocated; 0ms collecting garbage

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

3 → 1

Calls

Call 1

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

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

Call 2

Inputs
#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) x)
(tanh.f64 x)
(/.f64 (-.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:

1.0ms	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
97.9%	1	`(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))`
97.9%	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 58 to 31 computations (46.6% saved)

derivations22.0ms (0.4%)

Memory

12.3MiB live, 12.3MiB allocated; 0ms collecting garbage

Stop Event

1×

done

Compiler

Compiled 17 to 9 computations (47.1% saved)

preprocess19.0ms (0.3%)

Memory: -23.3MiB live, 22.8MiB allocated; 4ms 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%)

sample5.0s (89.5%)

preprocess54.0ms (1%)

series12.0ms (0.2%)

rewrite158.0ms (2.8%)

eval105.0ms (1.9%)

prune15.0ms (0.3%)

series8.0ms (0.1%)

rewrite147.0ms (2.7%)

eval26.0ms (0.5%)

prune11.0ms (0.2%)

regimes5.0ms (0.1%)

derivations22.0ms (0.4%)

preprocess19.0ms (0.3%)

end0.0ms (0%)

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