Metrics for Hyperbolic secant

start0.0ms (0%)

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

analyze0.0ms (0%)

Memory

1.6MiB live, 1.6MiB allocated; 0ms collecting garbage

Algorithm

1×

Search

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

Compiler

Compiled 10 to 9 computations (10% saved)

sample662.0ms (43.7%)

Memory

29.0MiB live, 903.6MiB allocated; 210ms collecting garbage

Samples

447.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 230.0ms

ival-exp: 123.0ms (53.5% of total)

ival-div!: 46.0ms (20% of total)

ival-neg: 35.0ms (15.2% of total)

ival-add!: 24.0ms (10.4% of total)

adjust: 1.0ms (0.4% of total)

Bogosity

preprocess63.0ms (4.2%)

Memory

-42.1MiB live, 26.5MiB allocated; 50ms collecting garbage

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	12	18
1	52	12
2	180	12
3	1390	12

Stop Event

1×	node-limit

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))

Symmetry

(abs x)

Compiler

Compiled 14 to 14 computations (0% saved)

series17.0ms (1.1%)

Memory

22.7MiB live, 22.7MiB allocated; 0ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	89	306

Stop Event

1×	iter-limit

Counts

7 → 23

Calls

Call 1

Inputs
(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
#s(literal 2 binary64)
(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
(exp.f64 x)
x
(exp.f64 (neg.f64 x))
(neg.f64 x)

Outputs
#s(approx (/ 2 (+ (exp x) (exp (neg x)))) #s(literal 1 binary64))
#s(approx (/ 2 (+ (exp x) (exp (neg x)))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)))))
#s(approx (/ 2 (+ (exp x) (exp (neg x)))) (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 5/24 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64)))))
#s(approx (/ 2 (+ (exp x) (exp (neg x)))) (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 5/24 binary64) (*.f64 #s(literal -61/720 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal 1/2 binary64)))))
#s(approx (+ (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) (+.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 x 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 (/ 2 (+ (exp x) (exp (neg x)))) (/.f64 #s(literal 2 binary64) (+.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 (/ 2 (+ (exp x) (exp (neg x)))) (/.f64 #s(literal 2 binary64) (+.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)))

Calls

3 calls:

Time	Variable		Point	Expression
2.0ms	x	@	inf	((/ 2 (+ (exp x) (exp (neg x)))) 2 (+ (exp x) (exp (neg x))) (exp x) x (exp (neg x)) (neg x))
2.0ms	x	@	-inf	((/ 2 (+ (exp x) (exp (neg x)))) 2 (+ (exp x) (exp (neg x))) (exp x) x (exp (neg x)) (neg x))
1.0ms	x	@	0	((/ 2 (+ (exp x) (exp (neg x)))) 2 (+ (exp x) (exp (neg x))) (exp x) x (exp (neg x)) (neg x))

Time

Variable

Point

Expression

2.0ms

inf

((/ 2 (+ (exp x) (exp (neg x)))) 2 (+ (exp x) (exp (neg x))) (exp x) x (exp (neg x)) (neg x))

2.0ms

-inf

((/ 2 (+ (exp x) (exp (neg x)))) 2 (+ (exp x) (exp (neg x))) (exp x) x (exp (neg x)) (neg x))

1.0ms

((/ 2 (+ (exp x) (exp (neg x)))) 2 (+ (exp x) (exp (neg x))) (exp x) x (exp (neg x)) (neg x))

rewrite267.0ms (17.6%)

Memory

-9.8MiB live, 359.9MiB allocated; 65ms collecting garbage

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	7	23
0	12	19
1	52	17
2	217	17
3	1269	17
0	8168	17

Stop Event

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

Counts

7 → 1 142

Calls

Call 1

Inputs
(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
#s(literal 2 binary64)
(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
(exp.f64 x)
x
(exp.f64 (neg.f64 x))
(neg.f64 x)

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

eval108.0ms (7.1%)

Memory: 18.7MiB live, 198.3MiB allocated; 40ms collecting garbage
Compiler: Compiled 11 050 to 3 379 computations (69.4% saved)

prune19.0ms (1.3%)

Memory

2.4MiB live, 48.7MiB allocated; 4ms collecting garbage

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	1 157	2	1 159
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	1 158	2	1 160

Accuracy

100.0%

Counts

1 160 → 2

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(/.f64 #s(literal 1 binary64) (cosh.f64 x))
▶	52.6%	#s(approx (/ 2 (+ (exp x) (exp (neg x)))) #s(literal 1 binary64))

Compiler

Compiled 13 to 13 computations (0% saved)

series7.0ms (0.5%)

Memory

12.2MiB live, 12.2MiB allocated; 0ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	62	188

Stop Event

1×	iter-limit

Counts

5 → 12

Calls

Call 1

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

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

Calls

3 calls:

Time	Variable		Point	Expression
2.0ms	x	@	inf	((/ 2 (+ (exp x) (exp (neg x)))) 1 (/ 1 (cosh x)) (cosh x) x)
2.0ms	x	@	-inf	((/ 2 (+ (exp x) (exp (neg x)))) 1 (/ 1 (cosh x)) (cosh x) x)
1.0ms	x	@	0	((/ 2 (+ (exp x) (exp (neg x)))) 1 (/ 1 (cosh x)) (cosh x) x)

rewrite263.0ms (17.4%)

Memory

-14.7MiB live, 377.3MiB allocated; 72ms collecting garbage

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	11	18
0	13	16
1	63	14
2	264	14
3	1852	14
0	8388	14

Stop Event

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

Counts

5 → 493

Calls

Call 1

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

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

eval43.0ms (2.9%)

Memory: 12.3MiB live, 99.5MiB allocated; 11ms collecting garbage
Compiler: Compiled 5 006 to 1 215 computations (75.7% saved)

prune8.0ms (0.5%)

Memory

20.0MiB live, 20.0MiB allocated; 0ms collecting garbage

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	499	0	499
Fresh	0	0	0
Picked	0	2	2
Done	0	0	0
Total	499	2	501

Accuracy

100.0%

Counts

501 → 2

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(/.f64 #s(literal 1 binary64) (cosh.f64 x))
✓	52.6%	#s(approx (/ 2 (+ (exp x) (exp (neg x)))) #s(literal 1 binary64))

Compiler

Compiled 30 to 30 computations (0% saved)

regimes4.0ms (0.3%)

Memory

8.5MiB live, 8.6MiB allocated; 0ms collecting garbage

Counts

3 → 1

Calls

Call 1

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

Outputs
(/.f64 #s(literal 1 binary64) (cosh.f64 x))

Calls

3 calls:

1.0ms	x
1.0ms	(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
1.0ms	(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))

Results

Accuracy	Segments	Branch
100.0%	1	`(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))`
100.0%	1	`(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))`
100.0%	1	`x`

Compiler

Compiled 13 to 13 computations (0% saved)

regimes6.0ms (0.4%)

Memory

-50.4MiB live, 6.7MiB allocated; 6ms collecting garbage

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

Inputs
#s(approx (/ 2 (+ (exp x) (exp (neg x)))) #s(literal 1 binary64))

Outputs
#s(approx (/ 2 (+ (exp x) (exp (neg x)))) #s(literal 1 binary64))

Calls

3 calls:

3.0ms	(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
1.0ms	x
1.0ms	(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))

Results

Accuracy	Segments	Branch
52.6%	1	`(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))`
52.6%	1	`(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))`
52.6%	1	`x`

Compiler

Compiled 13 to 13 computations (0% saved)

derivations33.0ms (2.2%)

Memory

25.1MiB live, 25.1MiB allocated; 0ms collecting garbage

Stop Event

1×

done

Compiler

Compiled 11 to 11 computations (0% saved)

preprocess14.0ms (1%)

Memory: 17.0MiB live, 17.0MiB allocated; 0ms collecting garbage
Remove: (abs x)
Compiler: Compiled 44 to 44 computations (0% saved)

end0.0ms (0%)

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

start0.0ms (0%)

analyze0.0ms (0%)

sample662.0ms (43.7%)

preprocess63.0ms (4.2%)

series17.0ms (1.1%)

rewrite267.0ms (17.6%)

eval108.0ms (7.1%)

prune19.0ms (1.3%)

series7.0ms (0.5%)

rewrite263.0ms (17.4%)

eval43.0ms (2.9%)

prune8.0ms (0.5%)

regimes4.0ms (0.3%)

regimes6.0ms (0.4%)

derivations33.0ms (2.2%)

preprocess14.0ms (1%)

end0.0ms (0%)

Profiling