Metrics for Hyperbolic tangent

start0.0ms (0.0%)

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

analyze0.0ms (0.0%)

Memory

0.5MiB live, 0.5MiB allocated; 0ms collecting garbage

Algorithm

1×

Search

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

Compiler

Compiled 15 to 9 computations (40.0% saved)

sample4.0s (79.9%)

Memory

122.3MiB live, 5 729.6MiB allocated; 1.4s collecting garbage

Samples

1.5s	3 291×	2	valid
1.1s	4 582×	1	valid
546.0ms	7 829×	0	exit
48.0ms	383×	0	valid

Precisions

Click to see histograms. Total time spent on operations: 2.6s

ival-exp: 1.7s (65.6% of total)

adjust: 374.0ms (14.5% of total)

ival-div!: 180.0ms (7.0% of total)

ival-add!: 136.0ms (5.3% of total)

ival-sub!: 105.0ms (4.1% of total)

ival-neg: 91.0ms (3.5% of total)

Bogosity

preprocess58.0ms (1.1%)

Memory

-28.4MiB live, 57.4MiB allocated; 29ms 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
▶	8.3%	(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))

Symmetry

(negabs x)

Compiler

Compiled 26 to 14 computations (46.2% saved)

sample0.0ms (0.0%)

Memory

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

Calls

Call 1

Inputs

Outputs

series11.0ms (0.2%)

Memory

23.0MiB live, 23.0MiB 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

rewrite156.0ms (3.1%)

Memory

5.4MiB live, 195.5MiB allocated; 34ms 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
(.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)))
(tanh.f64 x)
(/.f64 (-.f64 (exp.f64 (+.f64 x #s(literal 0 binary64))) (fma.f64 (.f64 (cosh.f64 x) (/.f64 #s(literal 1/2 binary64) (cosh.f64 x))) (.f64 (cosh.f64 x) #s(literal 2 binary64)) (sinh.f64 (neg.f64 x)))) (*.f64 (cosh.f64 x) #s(literal 2 binary64)))
(/.f64 (-.f64 (exp.f64 (+.f64 x #s(literal 0 binary64))) (-.f64 (.f64 (.f64 (cosh.f64 x) (/.f64 #s(literal 1/2 binary64) (cosh.f64 x))) (.f64 (cosh.f64 x) #s(literal 2 binary64))) (sinh.f64 x))) (.f64 (cosh.f64 x) #s(literal 2 binary64)))
(/.f64 (-.f64 (-.f64 (exp.f64 (+.f64 x x)) #s(literal -1 binary64)) (fma.f64 (cosh.f64 x) (.f64 (cosh.f64 x) #s(literal 2 binary64)) (.f64 (.f64 (cosh.f64 x) #s(literal 2 binary64)) (sinh.f64 (neg.f64 x))))) (.f64 (*.f64 (cosh.f64 x) (cosh.f64 x)) #s(literal 4 binary64)))
(/.f64 (-.f64 (-.f64 (exp.f64 (+.f64 x x)) #s(literal -1 binary64)) (-.f64 (.f64 (cosh.f64 x) (.f64 (cosh.f64 x) #s(literal 2 binary64))) (.f64 (.f64 (cosh.f64 x) #s(literal 2 binary64)) (sinh.f64 x)))) (.f64 (.f64 (cosh.f64 x) (cosh.f64 x)) #s(literal 4 binary64)))
(/.f64 (-.f64 (.f64 (exp.f64 x) #s(literal -1 binary64)) (.f64 (exp.f64 (neg.f64 x)) #s(literal -1 binary64))) (*.f64 #s(literal -2 binary64) (cosh.f64 x)))
(/.f64 (-.f64 (neg.f64 (exp.f64 x)) (.f64 (exp.f64 (neg.f64 x)) #s(literal -1 binary64))) (.f64 #s(literal -2 binary64) (cosh.f64 x)))
(/.f64 (-.f64 (fma.f64 (.f64 (cosh.f64 x) (/.f64 #s(literal 1/2 binary64) (cosh.f64 x))) (.f64 (cosh.f64 x) #s(literal 2 binary64)) (sinh.f64 x)) (fma.f64 (.f64 (cosh.f64 x) (/.f64 #s(literal 1/2 binary64) (cosh.f64 x))) (.f64 (cosh.f64 x) #s(literal 2 binary64)) (sinh.f64 (neg.f64 x)))) (*.f64 (cosh.f64 x) #s(literal 2 binary64)))
(/.f64 (-.f64 (exp.f64 x) (fma.f64 (.f64 (cosh.f64 x) (/.f64 #s(literal 1/2 binary64) (cosh.f64 x))) (.f64 (cosh.f64 x) #s(literal 2 binary64)) (sinh.f64 (neg.f64 x)))) (*.f64 (cosh.f64 x) #s(literal 2 binary64)))
(/.f64 (-.f64 (fma.f64 (.f64 (cosh.f64 x) (/.f64 #s(literal 1/2 binary64) (cosh.f64 x))) (.f64 (cosh.f64 x) #s(literal 2 binary64)) (sinh.f64 x)) (-.f64 (.f64 (.f64 (cosh.f64 x) (/.f64 #s(literal 1/2 binary64) (cosh.f64 x))) (.f64 (cosh.f64 x) #s(literal 2 binary64))) (sinh.f64 x))) (.f64 (cosh.f64 x) #s(literal 2 binary64)))
(/.f64 (-.f64 (exp.f64 x) (-.f64 (.f64 (.f64 (cosh.f64 x) (/.f64 #s(literal 1/2 binary64) (cosh.f64 x))) (.f64 (cosh.f64 x) #s(literal 2 binary64))) (sinh.f64 x))) (.f64 (cosh.f64 x) #s(literal 2 binary64)))
(/.f64 (-.f64 (/.f64 (exp.f64 x) (cosh.f64 x)) (/.f64 (exp.f64 (neg.f64 x)) (cosh.f64 x))) #s(literal 2 binary64))
(/.f64 (-.f64 (/.f64 (exp.f64 x) #s(literal -2 binary64)) (/.f64 (exp.f64 (neg.f64 x)) #s(literal -2 binary64))) (neg.f64 (cosh.f64 x)))
(/.f64 (-.f64 (neg.f64 (*.f64 (exp.f64 x) #s(literal 1/2 binary64))) (/.f64 (exp.f64 (neg.f64 x)) #s(literal -2 binary64))) (neg.f64 (cosh.f64 x)))
(/.f64 (-.f64 (fma.f64 (cosh.f64 x) (.f64 (cosh.f64 x) #s(literal 2 binary64)) (.f64 (sinh.f64 x) (.f64 (cosh.f64 x) #s(literal 2 binary64)))) (fma.f64 (cosh.f64 x) (.f64 (cosh.f64 x) #s(literal 2 binary64)) (.f64 (.f64 (cosh.f64 x) #s(literal 2 binary64)) (sinh.f64 (neg.f64 x))))) (.f64 (.f64 (cosh.f64 x) (cosh.f64 x)) #s(literal 4 binary64)))
(/.f64 (-.f64 (fma.f64 (cosh.f64 x) (.f64 (cosh.f64 x) #s(literal 2 binary64)) (.f64 (.f64 (cosh.f64 x) #s(literal 2 binary64)) (sinh.f64 x))) (fma.f64 (cosh.f64 x) (.f64 (cosh.f64 x) #s(literal 2 binary64)) (.f64 (.f64 (cosh.f64 x) #s(literal 2 binary64)) (sinh.f64 (neg.f64 x))))) (.f64 (.f64 (cosh.f64 x) (cosh.f64 x)) #s(literal 4 binary64)))
(/.f64 (-.f64 (fma.f64 (cosh.f64 x) (.f64 (cosh.f64 x) #s(literal 2 binary64)) (.f64 (sinh.f64 x) (.f64 (cosh.f64 x) #s(literal 2 binary64)))) (-.f64 (.f64 (cosh.f64 x) (.f64 (cosh.f64 x) #s(literal 2 binary64))) (.f64 (.f64 (cosh.f64 x) #s(literal 2 binary64)) (sinh.f64 x)))) (.f64 (*.f64 (cosh.f64 x) (cosh.f64 x)) #s(literal 4 binary64)))
(/.f64 (-.f64 (fma.f64 (cosh.f64 x) (.f64 (cosh.f64 x) #s(literal 2 binary64)) (.f64 (.f64 (cosh.f64 x) #s(literal 2 binary64)) (sinh.f64 x))) (-.f64 (.f64 (cosh.f64 x) (.f64 (cosh.f64 x) #s(literal 2 binary64))) (.f64 (.f64 (cosh.f64 x) #s(literal 2 binary64)) (sinh.f64 x)))) (.f64 (*.f64 (cosh.f64 x) (cosh.f64 x)) #s(literal 4 binary64)))
(/.f64 (-.f64 (/.f64 (exp.f64 x) #s(literal -2 binary64)) (neg.f64 (*.f64 (exp.f64 (neg.f64 x)) #s(literal 1/2 binary64)))) (neg.f64 (cosh.f64 x)))
(/.f64 (-.f64 (neg.f64 (.f64 (exp.f64 x) #s(literal 1/2 binary64))) (neg.f64 (.f64 (exp.f64 (neg.f64 x)) #s(literal 1/2 binary64)))) (neg.f64 (cosh.f64 x)))
(/.f64 (-.f64 (fma.f64 (cosh.f64 x) (.f64 (cosh.f64 x) #s(literal 2 binary64)) (.f64 (sinh.f64 x) (.f64 (cosh.f64 x) #s(literal 2 binary64)))) (/.f64 (.f64 (cosh.f64 x) #s(literal 2 binary64)) (exp.f64 x))) (.f64 (.f64 (cosh.f64 x) (cosh.f64 x)) #s(literal 4 binary64)))
(/.f64 (-.f64 (fma.f64 (cosh.f64 x) (.f64 (cosh.f64 x) #s(literal 2 binary64)) (.f64 (.f64 (cosh.f64 x) #s(literal 2 binary64)) (sinh.f64 x))) (/.f64 (.f64 (cosh.f64 x) #s(literal 2 binary64)) (exp.f64 x))) (.f64 (.f64 (cosh.f64 x) (cosh.f64 x)) #s(literal 4 binary64)))
(/.f64 (-.f64 (.f64 (exp.f64 x) #s(literal -1 binary64)) (neg.f64 (exp.f64 (neg.f64 x)))) (.f64 #s(literal -2 binary64) (cosh.f64 x)))
(/.f64 (-.f64 (fma.f64 (.f64 (cosh.f64 x) (/.f64 #s(literal 1/2 binary64) (cosh.f64 x))) (.f64 (cosh.f64 x) #s(literal 2 binary64)) (sinh.f64 x)) (exp.f64 (neg.f64 x))) (*.f64 (cosh.f64 x) #s(literal 2 binary64)))
(/.f64 (neg.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (cosh.f64 x)) (expm1.f64 (+.f64 x x)))) (neg.f64 (exp.f64 x)))
(/.f64 (neg.f64 (.f64 #s(literal 1 binary64) (-.f64 (exp.f64 (+.f64 x #s(literal 0 binary64))) (exp.f64 (neg.f64 x))))) (.f64 #s(literal -2 binary64) (cosh.f64 x)))
(/.f64 (neg.f64 (.f64 #s(literal 1 binary64) (-.f64 (-.f64 (exp.f64 (+.f64 x x)) #s(literal -1 binary64)) (/.f64 (.f64 (cosh.f64 x) #s(literal 2 binary64)) (exp.f64 x))))) (neg.f64 (.f64 (.f64 (cosh.f64 x) (cosh.f64 x)) #s(literal 4 binary64))))
(/.f64 (neg.f64 (.f64 #s(literal 1 binary64) (neg.f64 (expm1.f64 (.f64 #s(literal -2 binary64) x))))) (neg.f64 (+.f64 (exp.f64 (*.f64 #s(literal -2 binary64) x)) #s(literal 1 binary64))))
(/.f64 (neg.f64 (.f64 #s(literal 1 binary64) (.f64 #s(literal -2 binary64) (sinh.f64 x)))) (*.f64 (cosh.f64 x) #s(literal 2 binary64)))
(/.f64 (neg.f64 (.f64 #s(literal 1/2 binary64) (.f64 (sinh.f64 x) #s(literal 2 binary64)))) (neg.f64 (cosh.f64 x)))
(/.f64 (neg.f64 (.f64 #s(literal -1 binary64) (.f64 (sinh.f64 x) #s(literal 2 binary64)))) (*.f64 (cosh.f64 x) #s(literal 2 binary64)))
(/.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (tanh.f64 x))) #s(literal -2 binary64))
(/.f64 (neg.f64 (*.f64 (expm1.f64 (+.f64 x x)) (/.f64 #s(literal 1/2 binary64) (cosh.f64 x)))) (neg.f64 (exp.f64 x)))
(/.f64 (neg.f64 (/.f64 (-.f64 (exp.f64 (+.f64 x #s(literal 0 binary64))) (exp.f64 (neg.f64 x))) (cosh.f64 x))) #s(literal -2 binary64))
(/.f64 (neg.f64 (/.f64 (-.f64 (exp.f64 (+.f64 x #s(literal 0 binary64))) (exp.f64 (neg.f64 x))) #s(literal 2 binary64))) (neg.f64 (cosh.f64 x)))
(/.f64 (neg.f64 (/.f64 (-.f64 (/.f64 (.f64 (cosh.f64 x) #s(literal 2 binary64)) (exp.f64 x)) (-.f64 (exp.f64 (+.f64 x x)) #s(literal -1 binary64))) (.f64 #s(literal -2 binary64) (cosh.f64 x)))) (*.f64 #s(literal -2 binary64) (cosh.f64 x)))
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) (sinh.f64 x))) (neg.f64 (cosh.f64 x)))
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(/.f64 (+.f64 (pow.f64 (+.f64 (cosh.f64 x) (exp.f64 x)) #s(literal 3 binary64)) (pow.f64 (sinh.f64 (neg.f64 x)) #s(literal 3 binary64))) (fma.f64 (+.f64 (cosh.f64 x) (exp.f64 x)) (+.f64 (cosh.f64 x) (exp.f64 x)) (-.f64 (.f64 (sinh.f64 (neg.f64 x)) (sinh.f64 (neg.f64 x))) (.f64 (+.f64 (cosh.f64 x) (exp.f64 x)) (sinh.f64 (neg.f64 x))))))
(/.f64 (+.f64 (pow.f64 (cosh.f64 x) #s(literal 3 binary64)) (pow.f64 (-.f64 (exp.f64 x) (sinh.f64 x)) #s(literal 3 binary64))) (fma.f64 (cosh.f64 x) (cosh.f64 x) (-.f64 (.f64 (-.f64 (exp.f64 x) (sinh.f64 x)) (-.f64 (exp.f64 x) (sinh.f64 x))) (.f64 (cosh.f64 x) (-.f64 (exp.f64 x) (sinh.f64 x))))))
(/.f64 (-.f64 (.f64 (cosh.f64 x) (cosh.f64 x)) (.f64 (cosh.f64 x) (cosh.f64 x))) (-.f64 (cosh.f64 x) (cosh.f64 x)))
(/.f64 (+.f64 (pow.f64 (cosh.f64 x) #s(literal 3 binary64)) (pow.f64 (cosh.f64 x) #s(literal 3 binary64))) (fma.f64 (cosh.f64 x) (cosh.f64 x) (-.f64 (.f64 (cosh.f64 x) (cosh.f64 x)) (.f64 (cosh.f64 x) (cosh.f64 x)))))
(/.f64 (-.f64 (pow.f64 (+.f64 (cosh.f64 x) (exp.f64 x)) #s(literal 3 binary64)) (pow.f64 (sinh.f64 x) #s(literal 3 binary64))) (fma.f64 (+.f64 (cosh.f64 x) (exp.f64 x)) (+.f64 (cosh.f64 x) (exp.f64 x)) (fma.f64 (sinh.f64 x) (sinh.f64 x) (*.f64 (+.f64 (cosh.f64 x) (exp.f64 x)) (sinh.f64 x)))))
(/.f64 (-.f64 (pow.f64 (cosh.f64 x) #s(literal 3 binary64)) (pow.f64 (-.f64 (sinh.f64 x) (exp.f64 x)) #s(literal 3 binary64))) (fma.f64 (cosh.f64 x) (cosh.f64 x) (fma.f64 (-.f64 (sinh.f64 x) (exp.f64 x)) (-.f64 (sinh.f64 x) (exp.f64 x)) (*.f64 (cosh.f64 x) (-.f64 (sinh.f64 x) (exp.f64 x))))))
(/.f64 (-.f64 (pow.f64 (exp.f64 (neg.f64 x)) #s(literal 3 binary64)) (pow.f64 (neg.f64 (exp.f64 x)) #s(literal 3 binary64))) (+.f64 (exp.f64 (.f64 #s(literal -2 binary64) x)) (+.f64 (exp.f64 (+.f64 x x)) (.f64 (exp.f64 (neg.f64 x)) (neg.f64 (exp.f64 x))))))
(/.f64 (fma.f64 (cosh.f64 x) #s(literal 2 binary64) (*.f64 (cosh.f64 x) #s(literal 2 binary64))) #s(literal 2 binary64))
(/.f64 (fma.f64 (.f64 (cosh.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64) (.f64 #s(literal 2 binary64) (*.f64 (cosh.f64 x) #s(literal 2 binary64)))) #s(literal 4 binary64))
(/.f64 (.f64 (.f64 (cosh.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 2 binary64))
(/.f64 (.f64 #s(literal 2 binary64) (.f64 (cosh.f64 x) #s(literal 2 binary64))) #s(literal 2 binary64))
(/.f64 (neg.f64 (-.f64 (exp.f64 (+.f64 x x)) #s(literal -1 binary64))) (neg.f64 (exp.f64 x)))
(/.f64 (-.f64 (exp.f64 (+.f64 x x)) (exp.f64 (.f64 #s(literal -2 binary64) x))) (.f64 (sinh.f64 x) #s(literal 2 binary64)))
(/.f64 (+.f64 (pow.f64 (exp.f64 (neg.f64 x)) #s(literal 3 binary64)) (pow.f64 (exp.f64 x) #s(literal 3 binary64))) (+.f64 (exp.f64 (.f64 #s(literal -2 binary64) x)) (-.f64 (exp.f64 (+.f64 x x)) (.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)))))
(/.f64 (-.f64 (pow.f64 (exp.f64 x) #s(literal 3 binary64)) (pow.f64 (neg.f64 (exp.f64 (neg.f64 x))) #s(literal 3 binary64))) (+.f64 (exp.f64 (+.f64 x x)) (+.f64 (exp.f64 (.f64 #s(literal -2 binary64) x)) (.f64 (exp.f64 x) (neg.f64 (exp.f64 (neg.f64 x)))))))
(/.f64 (-.f64 (exp.f64 (+.f64 x x)) #s(literal -1 binary64)) (exp.f64 x))
(/.f64 (+.f64 (pow.f64 (exp.f64 x) #s(literal 3 binary64)) (pow.f64 (exp.f64 (neg.f64 x)) #s(literal 3 binary64))) (+.f64 (exp.f64 (+.f64 x x)) (-.f64 (exp.f64 (.f64 #s(literal -2 binary64) x)) (.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (cosh.f64 x)))
(neg.f64 (*.f64 #s(literal -2 binary64) (cosh.f64 x)))
(fma.f64 (sqrt.f64 (neg.f64 (exp.f64 x))) (sqrt.f64 (neg.f64 (exp.f64 x))) (exp.f64 (neg.f64 x)))
(fma.f64 (sqrt.f64 (neg.f64 (exp.f64 (neg.f64 x)))) (sqrt.f64 (neg.f64 (exp.f64 (neg.f64 x)))) (exp.f64 x))
(fma.f64 (sqrt.f64 #s(literal 1 binary64)) (exp.f64 (neg.f64 x)) (exp.f64 x))
(fma.f64 (pow.f64 (neg.f64 (exp.f64 x)) #s(literal 1/2 binary64)) (pow.f64 (neg.f64 (exp.f64 x)) #s(literal 1/2 binary64)) (exp.f64 (neg.f64 x)))
(fma.f64 (pow.f64 (exp.f64 x) #s(literal 1/2 binary64)) (pow.f64 (exp.f64 x) #s(literal 1/2 binary64)) (exp.f64 (neg.f64 x)))
(fma.f64 (pow.f64 (neg.f64 (exp.f64 (neg.f64 x))) #s(literal 1/2 binary64)) (pow.f64 (neg.f64 (exp.f64 (neg.f64 x))) #s(literal 1/2 binary64)) (exp.f64 x))
(fma.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)) (exp.f64 (neg.f64 x)) (exp.f64 x))
(fma.f64 (pow.f64 (exp.f64 (neg.f64 x)) #s(literal 1/2 binary64)) (pow.f64 (exp.f64 (neg.f64 x)) #s(literal 1/2 binary64)) (exp.f64 x))
(fma.f64 (pow.f64 (neg.f64 (exp.f64 x)) #s(literal -1/2 binary64)) (pow.f64 (neg.f64 (exp.f64 x)) #s(literal -1/2 binary64)) (exp.f64 x))
(fma.f64 (pow.f64 (exp.f64 x) #s(literal -1/2 binary64)) (pow.f64 (exp.f64 x) #s(literal -1/2 binary64)) (exp.f64 x))
(fma.f64 (+.f64 #s(literal 1 binary64) (/.f64 (cosh.f64 x) (sinh.f64 (neg.f64 x)))) (sinh.f64 (neg.f64 x)) (exp.f64 x))
(fma.f64 (+.f64 #s(literal 1 binary64) (/.f64 (cosh.f64 x) (sinh.f64 x))) (sinh.f64 x) (exp.f64 (neg.f64 x)))
(fma.f64 (-.f64 #s(literal 1 binary64) (tanh.f64 (neg.f64 x))) (cosh.f64 x) (exp.f64 (neg.f64 x)))
(fma.f64 (pow.f64 (exp.f64 x) (/.f64 #s(literal -1 binary64) #s(literal 2 binary64))) (pow.f64 (exp.f64 x) (/.f64 #s(literal -1 binary64) #s(literal 2 binary64))) (exp.f64 x))
(fma.f64 (sqrt.f64 (exp.f64 (neg.f64 x))) (sqrt.f64 (exp.f64 (neg.f64 x))) (exp.f64 x))
(fma.f64 (sqrt.f64 (exp.f64 x)) (sqrt.f64 (exp.f64 x)) (exp.f64 (neg.f64 x)))
(fma.f64 (+.f64 #s(literal 1 binary64) (tanh.f64 (neg.f64 x))) (cosh.f64 x) (exp.f64 x))
(fma.f64 (+.f64 #s(literal 1 binary64) (tanh.f64 x)) (cosh.f64 x) (exp.f64 (neg.f64 x)))
(fma.f64 (-.f64 #s(literal 1 binary64) (tanh.f64 x)) (cosh.f64 x) (exp.f64 x))
(fma.f64 #s(literal -1 binary64) (neg.f64 (exp.f64 (neg.f64 x))) (exp.f64 x))
(fma.f64 (*.f64 #s(literal -2 binary64) (sinh.f64 x)) #s(literal 1/2 binary64) (+.f64 (cosh.f64 x) (exp.f64 x)))
(fma.f64 #s(literal 1 binary64) (cosh.f64 x) (*.f64 #s(literal 1 binary64) (cosh.f64 x)))
(fma.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 x)) (exp.f64 x))
(fma.f64 (sinh.f64 x) #s(literal 1 binary64) (+.f64 (cosh.f64 x) (exp.f64 (neg.f64 x))))
(fma.f64 (cosh.f64 x) #s(literal 1 binary64) (-.f64 (exp.f64 x) (sinh.f64 x)))
(fma.f64 (cosh.f64 x) #s(literal 1 binary64) (cosh.f64 x))
(fma.f64 #s(literal 2 binary64) (/.f64 (sinh.f64 x) #s(literal 2 binary64)) (+.f64 (cosh.f64 x) (exp.f64 (neg.f64 x))))
(fma.f64 #s(literal 2 binary64) (/.f64 (cosh.f64 x) #s(literal 2 binary64)) (-.f64 (exp.f64 x) (sinh.f64 x)))
(fma.f64 #s(literal 2 binary64) (/.f64 (cosh.f64 x) #s(literal 2 binary64)) (cosh.f64 x))
(fma.f64 (*.f64 (cosh.f64 x) #s(literal 2 binary64)) #s(literal 1/2 binary64) (-.f64 (exp.f64 x) (sinh.f64 x)))
(fma.f64 (*.f64 (cosh.f64 x) #s(literal 2 binary64)) #s(literal 1/2 binary64) (cosh.f64 x))
(fma.f64 (*.f64 (sinh.f64 x) #s(literal 2 binary64)) #s(literal 1/2 binary64) (+.f64 (cosh.f64 x) (exp.f64 (neg.f64 x))))
(fma.f64 (exp.f64 (neg.f64 x)) #s(literal 1 binary64) (exp.f64 x))
(-.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))))
(sqrt.f64 (.f64 (.f64 (cosh.f64 x) (cosh.f64 x)) #s(literal 4 binary64)))
(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)))

eval103.0ms (2.0%)

Memory: 0.9MiB live, 155.0MiB allocated; 47ms collecting garbage
Compiler: Compiled 16 606 to 2 553 computations (84.6% saved)

prune17.0ms (0.3%)

Memory

-6.4MiB live, 38.5MiB allocated; 7ms collecting garbage

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	741	3	744
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	742	3	745

Accuracy

100.0%

Counts

745 → 3

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	98.8%	(*.f64 (expm1.f64 (+.f64 x x)) (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 (+.f64 x x)) #s(literal -1 binary64))))
▶	100.0%	(tanh.f64 x)
▶	98.6%	#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) x)

Compiler

Compiled 30 to 19 computations (36.7% saved)

sample0.0ms (0.0%)

Memory

0.6MiB live, 0.6MiB allocated; 0ms collecting garbage

Calls

Call 1

Inputs
1
-1

Outputs
#s(literal 1 binary64)
#s(literal -1 binary64)

Samples

0.0ms

1×

valid

Compiler

Compiled 4 to 4 computations (0.0% saved)

Precisions

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

adjust: 0.0ms (0.0% of total)

series20.0ms (0.4%)

Memory

-22.9MiB live, 31.7MiB allocated; 10ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	130	558

Stop Event

1×	iter-limit

Counts

11 → 33

Calls

Call 1

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

Outputs
#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) x)
#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 2 binary64))))))
#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 2/15 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/3 binary64))))))
#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 2/15 binary64) (.f64 #s(literal -17/315 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal 1/3 binary64))))))
#s(approx (- (exp (+ x x)) 1) (*.f64 #s(literal 2 binary64) x))
#s(approx (- (exp (+ x x)) 1) (.f64 x (+.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) x))))
#s(approx (- (exp (+ x x)) 1) (.f64 x (+.f64 #s(literal 2 binary64) (.f64 x (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 4/3 binary64) x))))))
#s(approx (- (exp (+ x x)) 1) (.f64 x (+.f64 #s(literal 2 binary64) (.f64 x (+.f64 #s(literal 2 binary64) (.f64 x (+.f64 #s(literal 4/3 binary64) (.f64 #s(literal 2/3 binary64) x))))))))
#s(approx (/ 1 (- (exp (+ x x)) -1)) #s(literal 1/2 binary64))
#s(approx (/ 1 (- (exp (+ x x)) -1)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x)))
#s(approx (/ 1 (- (exp (+ x x)) -1)) (+.f64 #s(literal 1/2 binary64) (.f64 x (-.f64 (.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64)))))
#s(approx (/ 1 (- (exp (+ x x)) -1)) (+.f64 #s(literal 1/2 binary64) (.f64 x (-.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/6 binary64) (*.f64 #s(literal -1/15 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal 1/2 binary64)))))
#s(approx (- (exp (+ x x)) -1) #s(literal 2 binary64))
#s(approx (- (exp (+ x x)) -1) (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) x)))
#s(approx (- (exp (+ x x)) -1) (+.f64 #s(literal 2 binary64) (.f64 x (+.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) x)))))
#s(approx (- (exp (+ x x)) -1) (+.f64 #s(literal 2 binary64) (.f64 x (+.f64 #s(literal 2 binary64) (.f64 x (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 4/3 binary64) x)))))))
#s(approx (exp (+ x x)) #s(literal 1 binary64))
#s(approx (exp (+ x x)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) x)))
#s(approx (exp (+ x x)) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) x)))))
#s(approx (exp (+ x x)) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 2 binary64) (.f64 x (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 4/3 binary64) x)))))))
#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))))
#s(approx (tanh x) (/.f64 (-.f64 (exp.f64 x) (/.f64 #s(literal 1 binary64) (exp.f64 x))) (+.f64 (exp.f64 x) (/.f64 #s(literal 1 binary64) (exp.f64 x)))))
#s(approx (* (- (exp (+ x x)) 1) (/ 1 (- (exp (+ x x)) -1))) (/.f64 (expm1.f64 (.f64 #s(literal 2 binary64) x)) (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 #s(literal 2 binary64) x)))))
#s(approx (- (exp (+ x x)) 1) (expm1.f64 (*.f64 #s(literal 2 binary64) x)))
#s(approx (/ 1 (- (exp (+ x x)) -1)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal 2 binary64) x)))))
#s(approx (- (exp (+ x x)) -1) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal 2 binary64) x))))
#s(approx (exp (+ x x)) (exp.f64 (*.f64 #s(literal 2 binary64) x)))
#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (/.f64 (-.f64 (exp.f64 x) (exp.f64 (.f64 #s(literal -1 binary64) x))) (+.f64 (exp.f64 x) (exp.f64 (.f64 #s(literal -1 binary64) x)))))
#s(approx (* (- (exp (+ x x)) 1) (/ 1 (- (exp (+ x x)) -1))) (/.f64 (expm1.f64 (neg.f64 (.f64 #s(literal -2 binary64) x))) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 (.f64 #s(literal -2 binary64) x))))))
#s(approx (- (exp (+ x x)) 1) (expm1.f64 (neg.f64 (*.f64 #s(literal -2 binary64) x))))
#s(approx (/ 1 (- (exp (+ x x)) -1)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 (*.f64 #s(literal -2 binary64) x))))))
#s(approx (- (exp (+ x x)) -1) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 (*.f64 #s(literal -2 binary64) x)))))
#s(approx (exp (+ x x)) (exp.f64 (neg.f64 (*.f64 #s(literal -2 binary64) x))))

Calls

3 calls:

Time	Variable	Point
8.0ms	x	inf
4.0ms	x	-inf
2.0ms	x	0

rewrite127.0ms (2.5%)

Memory

33.8MiB live, 168.5MiB allocated; 16ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	58
0	24	36
1	155	36
2	642	36
0	4140	35

Stop Event

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

Counts

11 → 786

Calls

Call 1

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

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

eval71.0ms (1.4%)

Memory: -18.4MiB live, 123.4MiB allocated; 21ms collecting garbage
Compiler: Compiled 12 104 to 1 876 computations (84.5% saved)

prune10.0ms (0.2%)

Memory

17.9MiB live, 18.0MiB allocated; 0ms collecting garbage

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	578	1	579
Fresh	0	0	0
Picked	1	2	3
Done	0	0	0
Total	579	3	582

Accuracy

100.0%

Counts

582 → 3

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	98.8%	(.f64 (expm1.f64 (+.f64 x x)) #s(approx (/ 1 (- (exp (+ x x)) -1)) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) x))))
✓	100.0%	(tanh.f64 x)
✓	98.6%	#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) x)

Status

Accuracy

Program

▶

98.8%

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

✓

100.0%

(tanh.f64 x)

✓

98.6%

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

Compiler

Compiled 36 to 25 computations (30.6% saved)

sample0.0ms (0.0%)

Memory

0.4MiB live, 0.4MiB allocated; 0ms collecting garbage

Calls

Call 1

Inputs
1/2
-1/2

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

Samples

0.0ms

1×

valid

Compiler

Compiled 4 to 4 computations (0.0% saved)

Precisions

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

adjust: 0.0ms (0.0% of total)

series8.0ms (0.2%)

Memory

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	104	373

Stop Event

1×	iter-limit

Counts

9 → 21

Calls

Call 1

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

Outputs
#s(approx (* (- (exp (+ x x)) 1) (/ 1 (- (exp (+ x x)) -1))) x)
#s(approx (* (- (exp (+ x x)) 1) (/ 1 (- (exp (+ x x)) -1))) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 2 binary64))))))
#s(approx (* (- (exp (+ x x)) 1) (/ 1 (- (exp (+ x x)) -1))) (.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 x)) 1) (/ 1 (- (exp (+ x x)) -1))) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 2/15 binary64) (.f64 #s(literal -17/315 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal 1/3 binary64))))))
#s(approx (- (exp (+ x x)) 1) (*.f64 #s(literal 2 binary64) x))
#s(approx (- (exp (+ x x)) 1) (.f64 x (+.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) x))))
#s(approx (- (exp (+ x x)) 1) (.f64 x (+.f64 #s(literal 2 binary64) (.f64 x (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 4/3 binary64) x))))))
#s(approx (- (exp (+ x x)) 1) (.f64 x (+.f64 #s(literal 2 binary64) (.f64 x (+.f64 #s(literal 2 binary64) (.f64 x (+.f64 #s(literal 4/3 binary64) (.f64 #s(literal 2/3 binary64) x))))))))
#s(approx (/ 1 (- (exp (+ x x)) -1)) #s(literal 1/2 binary64))
#s(approx (/ 1 (- (exp (+ x x)) -1)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x)))
#s(approx (/ 1 (- (exp (+ x x)) -1)) (+.f64 #s(literal 1/2 binary64) (.f64 x (-.f64 (.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64)))))
#s(approx (/ 1 (- (exp (+ x x)) -1)) (+.f64 #s(literal 1/2 binary64) (.f64 x (-.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/6 binary64) (*.f64 #s(literal -1/15 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal 1/2 binary64)))))
#s(approx (* -1/2 x) (*.f64 #s(literal -1/2 binary64) x))
#s(approx (* (- (exp (+ x x)) 1) (/ 1 (- (exp (+ x x)) -1))) (/.f64 (expm1.f64 (.f64 #s(literal 2 binary64) x)) (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 #s(literal 2 binary64) x)))))
#s(approx (- (exp (+ x x)) 1) (expm1.f64 (*.f64 #s(literal 2 binary64) x)))
#s(approx (/ 1 (- (exp (+ x x)) -1)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal 2 binary64) x)))))
#s(approx (+ 1/2 (* -1/2 x)) (.f64 x (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64))))
#s(approx (* (- (exp (+ x x)) 1) (/ 1 (- (exp (+ x x)) -1))) (/.f64 (expm1.f64 (neg.f64 (.f64 #s(literal -2 binary64) x))) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 (.f64 #s(literal -2 binary64) x))))))
#s(approx (- (exp (+ x x)) 1) (expm1.f64 (neg.f64 (*.f64 #s(literal -2 binary64) x))))
#s(approx (/ 1 (- (exp (+ x x)) -1)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 (*.f64 #s(literal -2 binary64) x))))))
#s(approx (+ 1/2 (* -1/2 x)) (.f64 #s(literal -1 binary64) (.f64 x (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))))

Calls

3 calls:

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

rewrite120.0ms (2.4%)

Memory

-9.6MiB live, 134.0MiB allocated; 20ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	51
0	21	51
1	111	51
2	342	51
3	1581	51
0	4029	48

Stop Event

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

Counts

9 → 230

Calls

Call 1

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

Outputs
(.f64 (.f64 #s(approx (/ 1 (- (exp (+ x x)) -1)) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))) (-.f64 (exp.f64 x) #s(literal -1 binary64))) (expm1.f64 x))
(.f64 (+.f64 #s(literal 1 binary64) (/.f64 (neg.f64 #s(approx (/ 1 (- (exp (+ x x)) -1)) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) (.f64 (exp.f64 (+.f64 x x)) #s(approx (/ 1 (- (exp (+ x x)) -1)) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))))) (*.f64 (exp.f64 (+.f64 x x)) #s(approx (/ 1 (- (exp (+ x x)) -1)) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))))
(*.f64 (neg.f64 #s(approx (/ 1 (- (exp (+ x x)) -1)) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) (neg.f64 (expm1.f64 (+.f64 x x))))
(.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)) (.f64 (expm1.f64 x) #s(approx (/ 1 (- (exp (+ x x)) -1)) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))))
(*.f64 (neg.f64 (expm1.f64 (+.f64 x x))) (neg.f64 #s(approx (/ 1 (- (exp (+ x x)) -1)) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))))
(*.f64 #s(approx (/ 1 (- (exp (+ x x)) -1)) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))) (expm1.f64 (+.f64 x x)))
(*.f64 (expm1.f64 (+.f64 x x)) #s(approx (/ 1 (- (exp (+ x x)) -1)) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))
(/.f64 (-.f64 (.f64 (.f64 (exp.f64 (+.f64 x x)) #s(approx (/ 1 (- (exp (+ x x)) -1)) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) (.f64 (exp.f64 (+.f64 x x)) #s(approx (/ 1 (- (exp (+ x x)) -1)) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))) (.f64 (neg.f64 #s(approx (/ 1 (- (exp (+ x x)) -1)) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) (neg.f64 #s(approx (/ 1 (- (exp (+ x x)) -1)) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))))) (-.f64 (*.f64 (exp.f64 (+.f64 x x)) #s(approx (/ 1 (- (exp (+ x x)) -1)) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) (neg.f64 #s(approx (/ 1 (- (exp (+ x x)) -1)) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))))
(/.f64 (+.f64 (pow.f64 (.f64 (exp.f64 (+.f64 x x)) #s(approx (/ 1 (- (exp (+ x x)) -1)) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 3 binary64)) (pow.f64 (neg.f64 #s(approx (/ 1 (- (exp (+ x x)) -1)) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 3 binary64))) (fma.f64 (.f64 (exp.f64 (+.f64 x x)) #s(approx (/ 1 (- (exp (+ x x)) -1)) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) (.f64 (exp.f64 (+.f64 x x)) #s(approx (/ 1 (- (exp (+ x x)) -1)) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) (-.f64 (.f64 (neg.f64 #s(approx (/ 1 (- (exp (+ x x)) -1)) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) (neg.f64 #s(approx (/ 1 (- (exp (+ x x)) -1)) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))) (.f64 (.f64 (exp.f64 (+.f64 x x)) #s(approx (/ 1 (- (exp (+ x x)) -1)) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) (neg.f64 #s(approx (/ 1 (- (exp (+ x x)) -1)) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))))))
(neg.f64 (*.f64 (neg.f64 (expm1.f64 (+.f64 x x))) #s(approx (/ 1 (- (exp (+ x x)) -1)) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))))
(fma.f64 (*.f64 #s(approx (/ 1 (- (exp (+ x x)) -1)) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))) (neg.f64 (exp.f64 x))) (neg.f64 (exp.f64 x)) (neg.f64 #s(approx (/ 1 (- (exp (+ x x)) -1)) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))))
(fma.f64 (*.f64 #s(approx (/ 1 (- (exp (+ x x)) -1)) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))) (exp.f64 x)) (exp.f64 x) (neg.f64 #s(approx (/ 1 (- (exp (+ x x)) -1)) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))))
(fma.f64 (.f64 #s(approx (/ 1 (- (exp (+ x x)) -1)) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))) #s(literal 1 binary64)) #s(literal -1 binary64) (.f64 (exp.f64 (+.f64 x x)) #s(approx (/ 1 (- (exp (+ x x)) -1)) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))))
(fma.f64 (neg.f64 (exp.f64 x)) (*.f64 (neg.f64 (exp.f64 x)) #s(approx (/ 1 (- (exp (+ x x)) -1)) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) (neg.f64 #s(approx (/ 1 (- (exp (+ x x)) -1)) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))))
(fma.f64 (exp.f64 x) (*.f64 (exp.f64 x) #s(approx (/ 1 (- (exp (+ x x)) -1)) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) (neg.f64 #s(approx (/ 1 (- (exp (+ x x)) -1)) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))))
(fma.f64 (cosh.f64 (+.f64 x x)) #s(approx (/ 1 (- (exp (+ x x)) -1)) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))) (*.f64 (-.f64 (sinh.f64 (+.f64 x x)) #s(literal 1 binary64)) #s(approx (/ 1 (- (exp (+ x x)) -1)) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))))
(fma.f64 (exp.f64 (+.f64 x x)) #s(approx (/ 1 (- (exp (+ x x)) -1)) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))) (neg.f64 #s(approx (/ 1 (- (exp (+ x x)) -1)) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))))
(fma.f64 #s(approx (/ 1 (- (exp (+ x x)) -1)) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))) (cosh.f64 (+.f64 x x)) (*.f64 #s(approx (/ 1 (- (exp (+ x x)) -1)) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))) (-.f64 (sinh.f64 (+.f64 x x)) #s(literal 1 binary64))))
(fma.f64 #s(approx (/ 1 (- (exp (+ x x)) -1)) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))) (exp.f64 (+.f64 x x)) (neg.f64 #s(approx (/ 1 (- (exp (+ x x)) -1)) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))))
(fma.f64 #s(approx (/ 1 (- (exp (+ x x)) -1)) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))) #s(literal -1 binary64) (*.f64 (exp.f64 (+.f64 x x)) #s(approx (/ 1 (- (exp (+ x x)) -1)) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))))
(fma.f64 #s(literal -1 binary64) #s(approx (/ 1 (- (exp (+ x x)) -1)) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))) (*.f64 (exp.f64 (+.f64 x x)) #s(approx (/ 1 (- (exp (+ x x)) -1)) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))))
(fma.f64 #s(literal 1 binary64) (neg.f64 #s(approx (/ 1 (- (exp (+ x x)) -1)) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) (*.f64 (exp.f64 (+.f64 x x)) #s(approx (/ 1 (- (exp (+ x x)) -1)) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))))
(-.f64 (.f64 (exp.f64 (+.f64 x x)) #s(approx (/ 1 (- (exp (+ x x)) -1)) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) (.f64 (neg.f64 #s(approx (/ 1 (- (exp (+ x x)) -1)) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal -1 binary64)))
(-.f64 (.f64 (exp.f64 (+.f64 x x)) #s(approx (/ 1 (- (exp (+ x x)) -1)) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) (.f64 #s(literal 1 binary64) #s(approx (/ 1 (- (exp (+ x x)) -1)) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))))
(-.f64 (*.f64 (exp.f64 (+.f64 x x)) #s(approx (/ 1 (- (exp (+ x x)) -1)) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) (neg.f64 (neg.f64 #s(approx (/ 1 (- (exp (+ x x)) -1)) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))))
(+.f64 (.f64 #s(approx (/ 1 (- (exp (+ x x)) -1)) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))) (cosh.f64 (+.f64 x x))) (.f64 #s(approx (/ 1 (- (exp (+ x x)) -1)) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))) (-.f64 (sinh.f64 (+.f64 x x)) #s(literal 1 binary64))))
(+.f64 (.f64 (cosh.f64 (+.f64 x x)) #s(approx (/ 1 (- (exp (+ x x)) -1)) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) (.f64 (-.f64 (sinh.f64 (+.f64 x x)) #s(literal 1 binary64)) #s(approx (/ 1 (- (exp (+ x x)) -1)) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))))
(+.f64 (*.f64 (exp.f64 (+.f64 x x)) #s(approx (/ 1 (- (exp (+ x x)) -1)) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) (neg.f64 #s(approx (/ 1 (- (exp (+ x x)) -1)) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))))
(+.f64 (neg.f64 #s(approx (/ 1 (- (exp (+ x x)) -1)) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) (*.f64 (exp.f64 (+.f64 x x)) #s(approx (/ 1 (- (exp (+ x x)) -1)) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))))
(*.f64 (+.f64 (neg.f64 (exp.f64 x)) #s(literal 1 binary64)) (-.f64 (neg.f64 (exp.f64 x)) #s(literal 1 binary64)))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (sinh.f64 (+.f64 x x)) #s(literal 1 binary64)) (cosh.f64 (+.f64 x x)))) (cosh.f64 (+.f64 x x)))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (exp.f64 (+.f64 x x)) #s(literal -1 binary64))) #s(literal -1 binary64))
(*.f64 (expm1.f64 x) (-.f64 (exp.f64 x) #s(literal -1 binary64)))
(*.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)) (expm1.f64 x))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (exp.f64 (+.f64 x x)))) (exp.f64 (+.f64 x x)))
(.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (.f64 #s(literal -2 binary64) x))) (exp.f64 (+.f64 x x)))
(/.f64 (-.f64 (.f64 (neg.f64 (.f64 #s(literal 2 binary64) (sinh.f64 (+.f64 x x)))) #s(literal 2 binary64)) (.f64 #s(literal -2 binary64) (-.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) (cosh.f64 (+.f64 x x)))))) #s(literal -4 binary64))
(/.f64 (-.f64 (.f64 (neg.f64 (.f64 #s(literal 2 binary64) (sinh.f64 (+.f64 x x)))) #s(literal 4 binary64)) (.f64 #s(literal -2 binary64) (-.f64 #s(literal 4 binary64) (.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 (+.f64 x x))))))) #s(literal -8 binary64))
(/.f64 (-.f64 (.f64 (.f64 #s(literal 2 binary64) (sinh.f64 (+.f64 x x))) #s(literal 2 binary64)) (.f64 #s(literal 2 binary64) (-.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) (cosh.f64 (+.f64 x x)))))) #s(literal 4 binary64))
(/.f64 (-.f64 (.f64 (.f64 #s(literal 2 binary64) (sinh.f64 (+.f64 x x))) #s(literal 4 binary64)) (.f64 #s(literal 2 binary64) (-.f64 #s(literal 4 binary64) (.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 (+.f64 x x))))))) #s(literal 8 binary64))
(/.f64 (-.f64 (.f64 (fma.f64 (sinh.f64 (+.f64 x x)) #s(literal 2 binary64) (.f64 #s(literal 2 binary64) (cosh.f64 (+.f64 x x)))) #s(literal -2 binary64)) #s(literal -4 binary64)) #s(literal -4 binary64))
(/.f64 (-.f64 (.f64 (fma.f64 (sinh.f64 (+.f64 x x)) #s(literal 2 binary64) (.f64 #s(literal 2 binary64) (cosh.f64 (+.f64 x x)))) #s(literal 4 binary64)) #s(literal 8 binary64)) #s(literal 8 binary64))
(/.f64 (-.f64 (.f64 (fma.f64 (sinh.f64 (+.f64 x x)) #s(literal 2 binary64) (.f64 #s(literal 2 binary64) (cosh.f64 (+.f64 x x)))) #s(literal 2 binary64)) #s(literal 4 binary64)) #s(literal 4 binary64))
(/.f64 (-.f64 (.f64 (fma.f64 (sinh.f64 (+.f64 x x)) #s(literal 2 binary64) (.f64 #s(literal 2 binary64) (cosh.f64 (+.f64 x x)))) #s(literal 1 binary64)) #s(literal 2 binary64)) #s(literal 2 binary64))
(/.f64 (-.f64 (.f64 (fma.f64 (cosh.f64 (+.f64 x x)) #s(literal 2 binary64) (.f64 #s(literal 2 binary64) (sinh.f64 (+.f64 x x)))) #s(literal -2 binary64)) #s(literal -4 binary64)) #s(literal -4 binary64))
(/.f64 (-.f64 (.f64 (fma.f64 (cosh.f64 (+.f64 x x)) #s(literal 2 binary64) (.f64 #s(literal 2 binary64) (sinh.f64 (+.f64 x x)))) #s(literal 4 binary64)) #s(literal 8 binary64)) #s(literal 8 binary64))
(/.f64 (-.f64 (.f64 (fma.f64 (cosh.f64 (+.f64 x x)) #s(literal 2 binary64) (.f64 #s(literal 2 binary64) (sinh.f64 (+.f64 x x)))) #s(literal 2 binary64)) #s(literal 4 binary64)) #s(literal 4 binary64))
(/.f64 (-.f64 (.f64 (fma.f64 (cosh.f64 (+.f64 x x)) #s(literal 2 binary64) (.f64 #s(literal 2 binary64) (sinh.f64 (+.f64 x x)))) #s(literal 1 binary64)) #s(literal 2 binary64)) #s(literal 2 binary64))
(/.f64 (-.f64 (.f64 (fma.f64 (.f64 #s(literal 2 binary64) (sinh.f64 (+.f64 x x))) #s(literal 2 binary64) (.f64 (.f64 #s(literal 2 binary64) (cosh.f64 (+.f64 x x))) #s(literal 2 binary64))) #s(literal -2 binary64)) #s(literal -8 binary64)) #s(literal -8 binary64))
(/.f64 (-.f64 (.f64 (fma.f64 (.f64 #s(literal 2 binary64) (sinh.f64 (+.f64 x x))) #s(literal 2 binary64) (.f64 (.f64 #s(literal 2 binary64) (cosh.f64 (+.f64 x x))) #s(literal 2 binary64))) #s(literal 4 binary64)) #s(literal 16 binary64)) #s(literal 16 binary64))
(/.f64 (-.f64 (.f64 (fma.f64 (.f64 #s(literal 2 binary64) (sinh.f64 (+.f64 x x))) #s(literal 2 binary64) (.f64 (.f64 #s(literal 2 binary64) (cosh.f64 (+.f64 x x))) #s(literal 2 binary64))) #s(literal 2 binary64)) #s(literal 8 binary64)) #s(literal 8 binary64))
(/.f64 (-.f64 (.f64 (fma.f64 (.f64 #s(literal 2 binary64) (sinh.f64 (+.f64 x x))) #s(literal 2 binary64) (.f64 (.f64 #s(literal 2 binary64) (cosh.f64 (+.f64 x x))) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 4 binary64)) #s(literal 4 binary64))
(/.f64 (-.f64 (.f64 (fma.f64 (.f64 #s(literal 2 binary64) (cosh.f64 (+.f64 x x))) #s(literal 2 binary64) (.f64 (.f64 #s(literal 2 binary64) (sinh.f64 (+.f64 x x))) #s(literal 2 binary64))) #s(literal -2 binary64)) #s(literal -8 binary64)) #s(literal -8 binary64))
(/.f64 (-.f64 (.f64 (fma.f64 (.f64 #s(literal 2 binary64) (cosh.f64 (+.f64 x x))) #s(literal 2 binary64) (.f64 (.f64 #s(literal 2 binary64) (sinh.f64 (+.f64 x x))) #s(literal 2 binary64))) #s(literal 4 binary64)) #s(literal 16 binary64)) #s(literal 16 binary64))
(/.f64 (-.f64 (.f64 (fma.f64 (.f64 #s(literal 2 binary64) (cosh.f64 (+.f64 x x))) #s(literal 2 binary64) (.f64 (.f64 #s(literal 2 binary64) (sinh.f64 (+.f64 x x))) #s(literal 2 binary64))) #s(literal 2 binary64)) #s(literal 8 binary64)) #s(literal 8 binary64))
(/.f64 (-.f64 (.f64 (fma.f64 (.f64 #s(literal 2 binary64) (cosh.f64 (+.f64 x x))) #s(literal 2 binary64) (.f64 (.f64 #s(literal 2 binary64) (sinh.f64 (+.f64 x x))) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 4 binary64)) #s(literal 4 binary64))
(/.f64 (-.f64 (.f64 (fma.f64 #s(literal 2 binary64) (sinh.f64 (+.f64 x x)) (.f64 #s(literal 2 binary64) (cosh.f64 (+.f64 x x)))) #s(literal -2 binary64)) #s(literal -4 binary64)) #s(literal -4 binary64))
(/.f64 (-.f64 (.f64 (fma.f64 #s(literal 2 binary64) (sinh.f64 (+.f64 x x)) (.f64 #s(literal 2 binary64) (cosh.f64 (+.f64 x x)))) #s(literal 4 binary64)) #s(literal 8 binary64)) #s(literal 8 binary64))
(/.f64 (-.f64 (.f64 (fma.f64 #s(literal 2 binary64) (sinh.f64 (+.f64 x x)) (.f64 #s(literal 2 binary64) (cosh.f64 (+.f64 x x)))) #s(literal 2 binary64)) #s(literal 4 binary64)) #s(literal 4 binary64))
(/.f64 (-.f64 (.f64 (fma.f64 #s(literal 2 binary64) (sinh.f64 (+.f64 x x)) (.f64 #s(literal 2 binary64) (cosh.f64 (+.f64 x x)))) #s(literal 1 binary64)) #s(literal 2 binary64)) #s(literal 2 binary64))
(/.f64 (-.f64 (.f64 (fma.f64 #s(literal 2 binary64) (cosh.f64 (+.f64 x x)) (.f64 #s(literal 2 binary64) (sinh.f64 (+.f64 x x)))) #s(literal -2 binary64)) #s(literal -4 binary64)) #s(literal -4 binary64))
(/.f64 (-.f64 (.f64 (fma.f64 #s(literal 2 binary64) (cosh.f64 (+.f64 x x)) (.f64 #s(literal 2 binary64) (sinh.f64 (+.f64 x x)))) #s(literal 4 binary64)) #s(literal 8 binary64)) #s(literal 8 binary64))
(/.f64 (-.f64 (.f64 (fma.f64 #s(literal 2 binary64) (cosh.f64 (+.f64 x x)) (.f64 #s(literal 2 binary64) (sinh.f64 (+.f64 x x)))) #s(literal 2 binary64)) #s(literal 4 binary64)) #s(literal 4 binary64))
(/.f64 (-.f64 (.f64 (fma.f64 #s(literal 2 binary64) (cosh.f64 (+.f64 x x)) (.f64 #s(literal 2 binary64) (sinh.f64 (+.f64 x x)))) #s(literal 1 binary64)) #s(literal 2 binary64)) #s(literal 2 binary64))
(/.f64 (-.f64 (.f64 (fma.f64 (.f64 #s(literal 2 binary64) (sinh.f64 (+.f64 x x))) #s(literal 2 binary64) (.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) (cosh.f64 (+.f64 x x))))) #s(literal -2 binary64)) #s(literal -8 binary64)) #s(literal -8 binary64))
(/.f64 (-.f64 (.f64 (fma.f64 (.f64 #s(literal 2 binary64) (sinh.f64 (+.f64 x x))) #s(literal 2 binary64) (.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) (cosh.f64 (+.f64 x x))))) #s(literal 4 binary64)) #s(literal 16 binary64)) #s(literal 16 binary64))
(/.f64 (-.f64 (.f64 (fma.f64 (.f64 #s(literal 2 binary64) (sinh.f64 (+.f64 x x))) #s(literal 2 binary64) (.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) (cosh.f64 (+.f64 x x))))) #s(literal 2 binary64)) #s(literal 8 binary64)) #s(literal 8 binary64))
(/.f64 (-.f64 (.f64 (fma.f64 (.f64 #s(literal 2 binary64) (sinh.f64 (+.f64 x x))) #s(literal 2 binary64) (.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) (cosh.f64 (+.f64 x x))))) #s(literal 1 binary64)) #s(literal 4 binary64)) #s(literal 4 binary64))
(/.f64 (-.f64 (.f64 (fma.f64 (.f64 #s(literal 2 binary64) (cosh.f64 (+.f64 x x))) #s(literal 2 binary64) (.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) (sinh.f64 (+.f64 x x))))) #s(literal -2 binary64)) #s(literal -8 binary64)) #s(literal -8 binary64))
(/.f64 (-.f64 (.f64 (fma.f64 (.f64 #s(literal 2 binary64) (cosh.f64 (+.f64 x x))) #s(literal 2 binary64) (.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) (sinh.f64 (+.f64 x x))))) #s(literal 4 binary64)) #s(literal 16 binary64)) #s(literal 16 binary64))
(/.f64 (-.f64 (.f64 (fma.f64 (.f64 #s(literal 2 binary64) (cosh.f64 (+.f64 x x))) #s(literal 2 binary64) (.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) (sinh.f64 (+.f64 x x))))) #s(literal 2 binary64)) #s(literal 8 binary64)) #s(literal 8 binary64))
(/.f64 (-.f64 (.f64 (fma.f64 (.f64 #s(literal 2 binary64) (cosh.f64 (+.f64 x x))) #s(literal 2 binary64) (.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) (sinh.f64 (+.f64 x x))))) #s(literal 1 binary64)) #s(literal 4 binary64)) #s(literal 4 binary64))
(/.f64 (-.f64 (.f64 (neg.f64 (exp.f64 x)) #s(literal -2 binary64)) (.f64 (neg.f64 (exp.f64 (neg.f64 x))) #s(literal -2 binary64))) (*.f64 (neg.f64 (exp.f64 (neg.f64 x))) #s(literal -2 binary64)))
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(.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal -1/2 binary64) x) #s(literal 1/2 binary64))) #s(literal 1/2 binary64))
(/.f64 (-.f64 (.f64 (.f64 #s(literal -1/2 binary64) x) (.f64 #s(literal -1/2 binary64) x)) (.f64 #s(literal -1/2 binary64) #s(literal -1/2 binary64))) (+.f64 (*.f64 #s(literal -1/2 binary64) x) #s(literal -1/2 binary64)))
(/.f64 (-.f64 (pow.f64 (.f64 #s(literal -1/2 binary64) x) #s(literal 3 binary64)) (pow.f64 #s(literal -1/2 binary64) #s(literal 3 binary64))) (fma.f64 (.f64 #s(literal -1/2 binary64) x) (.f64 #s(literal -1/2 binary64) x) (fma.f64 #s(literal -1/2 binary64) #s(literal -1/2 binary64) (.f64 (*.f64 #s(literal -1/2 binary64) x) #s(literal -1/2 binary64)))))
(/.f64 (-.f64 (.f64 (.f64 #s(literal -1/2 binary64) x) (.f64 #s(literal -1/2 binary64) x)) (.f64 #s(literal 1/2 binary64) #s(literal 1/2 binary64))) (-.f64 (*.f64 #s(literal -1/2 binary64) x) #s(literal 1/2 binary64)))
(/.f64 (-.f64 (.f64 #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (.f64 (.f64 #s(literal 1/2 binary64) x) (.f64 #s(literal 1/2 binary64) x))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) x)))
(/.f64 (+.f64 (pow.f64 (.f64 #s(literal -1/2 binary64) x) #s(literal 3 binary64)) (pow.f64 #s(literal 1/2 binary64) #s(literal 3 binary64))) (fma.f64 (.f64 #s(literal -1/2 binary64) x) (.f64 #s(literal -1/2 binary64) x) (-.f64 (.f64 #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (.f64 (.f64 #s(literal -1/2 binary64) x) #s(literal 1/2 binary64)))))
(/.f64 (-.f64 (pow.f64 #s(literal 1/2 binary64) #s(literal 3 binary64)) (pow.f64 (.f64 #s(literal 1/2 binary64) x) #s(literal 3 binary64))) (fma.f64 #s(literal 1/2 binary64) #s(literal 1/2 binary64) (fma.f64 (.f64 #s(literal 1/2 binary64) x) (.f64 #s(literal 1/2 binary64) x) (.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) x)))))
(/.f64 (-.f64 (.f64 #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (.f64 (.f64 #s(literal -1/2 binary64) x) (.f64 #s(literal -1/2 binary64) x))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x)))
(/.f64 (+.f64 (pow.f64 #s(literal 1/2 binary64) #s(literal 3 binary64)) (pow.f64 (.f64 #s(literal -1/2 binary64) x) #s(literal 3 binary64))) (fma.f64 #s(literal 1/2 binary64) #s(literal 1/2 binary64) (-.f64 (.f64 (.f64 #s(literal -1/2 binary64) x) (.f64 #s(literal -1/2 binary64) x)) (.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) x)))))
(neg.f64 (+.f64 #s(literal -1/2 binary64) (*.f64 #s(literal 1/2 binary64) x)))
(neg.f64 (-.f64 #s(literal -1/2 binary64) (*.f64 #s(literal -1/2 binary64) x)))
(neg.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal -1/2 binary64)))
(fma.f64 (neg.f64 x) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
(fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))
(fma.f64 #s(literal 1/2 binary64) (neg.f64 x) #s(literal 1/2 binary64))
(fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))
(-.f64 (*.f64 #s(literal -1/2 binary64) x) #s(literal -1/2 binary64))
(-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) x))
(+.f64 (*.f64 #s(literal -1/2 binary64) x) #s(literal 1/2 binary64))
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x))
#s(literal 1/2 binary64)
(*.f64 (neg.f64 x) #s(literal 1/2 binary64))
(*.f64 #s(literal -1/2 binary64) x)
(*.f64 #s(literal 1/2 binary64) (neg.f64 x))
(*.f64 x #s(literal -1/2 binary64))
(neg.f64 (*.f64 #s(literal 1/2 binary64) x))
#s(literal -1/2 binary64)

eval33.0ms (0.6%)

Memory: -17.1MiB live, 69.8MiB allocated; 12ms collecting garbage
Compiler: Compiled 7 312 to 973 computations (86.7% saved)

prune5.0ms (0.1%)

Memory

9.2MiB live, 9.2MiB allocated; 0ms collecting garbage

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	242	1	243
Fresh	0	0	0
Picked	1	0	1
Done	0	2	2
Total	243	3	246

Accuracy

100.0%

Counts

246 → 3

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	98.8%	(*.f64 (expm1.f64 (+.f64 x x)) #s(approx (/ 1 (- (exp (+ x x)) -1)) (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))
✓	100.0%	(tanh.f64 x)
✓	98.6%	#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) x)

Status

Accuracy

Program

▶

98.8%

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

✓

100.0%

(tanh.f64 x)

✓

98.6%

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

Compiler

Compiled 35 to 24 computations (31.4% saved)

sample0.0ms (0.0%)

Memory

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

Calls

Call 1

Inputs
-1/2
1/2

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

Samples

0.0ms

1×

valid

Compiler

Compiled 4 to 4 computations (0.0% saved)

Precisions

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

adjust: 0.0ms (0.0% of total)

series7.0ms (0.1%)

Memory

9.4MiB live, 9.4MiB allocated; 0ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	106	372

Stop Event

1×	iter-limit

Counts

8 → 21

Calls

Call 1

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

Outputs
#s(approx (* (- (exp (+ x x)) 1) (/ 1 (- (exp (+ x x)) -1))) x)
#s(approx (* (- (exp (+ x x)) 1) (/ 1 (- (exp (+ x x)) -1))) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 2 binary64))))))
#s(approx (* (- (exp (+ x x)) 1) (/ 1 (- (exp (+ x x)) -1))) (.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 x)) 1) (/ 1 (- (exp (+ x x)) -1))) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 2/15 binary64) (.f64 #s(literal -17/315 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal 1/3 binary64))))))
#s(approx (- (exp (+ x x)) 1) (*.f64 #s(literal 2 binary64) x))
#s(approx (- (exp (+ x x)) 1) (.f64 x (+.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) x))))
#s(approx (- (exp (+ x x)) 1) (.f64 x (+.f64 #s(literal 2 binary64) (.f64 x (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 4/3 binary64) x))))))
#s(approx (- (exp (+ x x)) 1) (.f64 x (+.f64 #s(literal 2 binary64) (.f64 x (+.f64 #s(literal 2 binary64) (.f64 x (+.f64 #s(literal 4/3 binary64) (.f64 #s(literal 2/3 binary64) x))))))))
#s(approx (/ 1 (- (exp (+ x x)) -1)) #s(literal 1/2 binary64))
#s(approx (/ 1 (- (exp (+ x x)) -1)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x)))
#s(approx (/ 1 (- (exp (+ x x)) -1)) (+.f64 #s(literal 1/2 binary64) (.f64 x (-.f64 (.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64)))))
#s(approx (/ 1 (- (exp (+ x x)) -1)) (+.f64 #s(literal 1/2 binary64) (.f64 x (-.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/6 binary64) (*.f64 #s(literal -1/15 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal 1/2 binary64)))))
#s(approx (* (- (exp (+ x x)) 1) (/ 1 (- (exp (+ x x)) -1))) (/.f64 (expm1.f64 (.f64 #s(literal 2 binary64) x)) (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 #s(literal 2 binary64) x)))))
#s(approx (- (exp (+ x x)) 1) (expm1.f64 (*.f64 #s(literal 2 binary64) x)))
#s(approx (/ 1 (- (exp (+ x x)) -1)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal 2 binary64) x)))))
#s(approx (+ (* x -1/2) 1/2) (*.f64 #s(literal -1/2 binary64) x))
#s(approx (+ (* x -1/2) 1/2) (.f64 x (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64))))
#s(approx (* (- (exp (+ x x)) 1) (/ 1 (- (exp (+ x x)) -1))) (/.f64 (expm1.f64 (neg.f64 (.f64 #s(literal -2 binary64) x))) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 (.f64 #s(literal -2 binary64) x))))))
#s(approx (- (exp (+ x x)) 1) (expm1.f64 (neg.f64 (*.f64 #s(literal -2 binary64) x))))
#s(approx (/ 1 (- (exp (+ x x)) -1)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 (*.f64 #s(literal -2 binary64) x))))))
#s(approx (+ (* x -1/2) 1/2) (.f64 #s(literal -1 binary64) (.f64 x (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))))

Calls

3 calls:

Time	Variable	Point
1.0ms	x	-inf
1.0ms	x	inf
0.0ms	x	0

rewrite187.0ms (3.7%)

Memory

-31.7MiB live, 135.0MiB allocated; 129ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	45
0	20	45
1	107	45
2	320	45
3	1586	45
0	4031	45

Stop Event

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

Counts

8 → 225

Calls

Call 1

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

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

eval28.0ms (0.6%)

Memory: 15.5MiB live, 59.4MiB allocated; 6ms collecting garbage
Compiler: Compiled 7 080 to 956 computations (86.5% saved)

prune17.0ms (0.3%)

Memory

-33.6MiB live, 20.2MiB allocated; 14ms collecting garbage

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	240	0	240
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	240	3	243

Accuracy

100.0%

Counts

243 → 3

Alt Table

Click to see full alt table

Status

Accuracy

Program

✓

98.8%

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

✓

100.0%

(tanh.f64 x)

✓

98.6%

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

Compiler

Compiled 35 to 24 computations (31.4% saved)

regimes8.0ms (0.2%)

Memory

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

Counts

1 → 1

6 → 1

Calls

Call 1

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

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

Call 2

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

Outputs
(tanh.f64 x)

Calls

4 calls:

3.0ms	x
2.0ms	(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
1.0ms	x
1.0ms	(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))

Results

Accuracy	Segments	Branch
98.6%	1	`(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))`
98.6%	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 108 to 54 computations (50.0% saved)

derivations18.0ms (0.4%)

Memory

14.4MiB live, 14.4MiB allocated; 0ms collecting garbage

Stop Event

1×

done

Compiler

Compiled 17 to 9 computations (47.1% saved)

preprocess14.0ms (0.3%)

Memory: -23.1MiB live, 22.1MiB allocated; 5ms collecting garbage
Compiler: Compiled 64 to 36 computations (43.8% saved)

end0.0ms (0.0%)

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

start0.0ms (0.0%)

analyze0.0ms (0.0%)

sample4.0s (79.9%)

preprocess58.0ms (1.1%)

sample0.0ms (0.0%)

series11.0ms (0.2%)

rewrite156.0ms (3.1%)

eval103.0ms (2.0%)

prune17.0ms (0.3%)

sample0.0ms (0.0%)

series20.0ms (0.4%)

rewrite127.0ms (2.5%)

eval71.0ms (1.4%)

prune10.0ms (0.2%)

sample0.0ms (0.0%)

series8.0ms (0.2%)

rewrite120.0ms (2.4%)

eval33.0ms (0.6%)

prune5.0ms (0.1%)

sample0.0ms (0.0%)

series7.0ms (0.1%)

rewrite187.0ms (3.7%)

eval28.0ms (0.6%)

prune17.0ms (0.3%)

regimes8.0ms (0.2%)

derivations18.0ms (0.4%)

preprocess14.0ms (0.3%)

end0.0ms (0.0%)

Profiling