Metrics for Hyperbolic secant

start0.0ms (0%)

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

analyze0.0ms (0%)

Memory

2.0MiB live, 2.0MiB 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)

sample888.0ms (41.4%)

Memory

24.6MiB live, 1 082.5MiB allocated; 401ms collecting garbage

Samples

536.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 237.0ms

ival-exp: 135.0ms (56.9% of total)

ival-div!: 40.0ms (16.9% of total)

ival-neg: 38.0ms (16% of total)

ival-add!: 23.0ms (9.7% of total)

adjust: 1.0ms (0.4% of total)

Bogosity

preprocess46.0ms (2.2%)

Memory

0.5MiB live, 44.3MiB allocated; 16ms 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)

series8.0ms (0.4%)

Memory

15.3MiB live, 15.3MiB 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
1.0ms	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	@	-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

1.0ms

inf

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

1.0ms

-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))

rewrite322.0ms (15%)

Memory

47.9MiB live, 401.3MiB allocated; 138ms 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
1	22153	17

Stop Event

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

Counts

7 → 982

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 (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 (.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 1/2 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 (/.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (cosh.f64 x))) #s(literal 1/2 binary64))
(.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 2 binary64) (.f64 #s(literal 1/2 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 (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 #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 1 binary64) (.f64 #s(literal 1/2 binary64) (cosh.f64 x))))
(*.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)) #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)) (/.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 (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)))
(/.f64 (neg.f64 (-.f64 (.f64 #s(literal 1/2 binary64) (.f64 #s(literal -2 binary64) (cosh.f64 x))) (cosh.f64 x))) (neg.f64 (.f64 (cosh.f64 x) (.f64 #s(literal -2 binary64) (cosh.f64 x)))))
(/.f64 (neg.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 (cosh.f64 x) #s(literal 2 binary64)) (cosh.f64 x))) (neg.f64 (.f64 (cosh.f64 x) (*.f64 (cosh.f64 x) #s(literal 2 binary64)))))
(/.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 (.f64 (*.f64 (cosh.f64 x) (cosh.f64 x)) #s(literal 4 binary64))))
(/.f64 (neg.f64 (fma.f64 #s(literal -2 binary64) (cosh.f64 x) (.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 (-.f64 (cosh.f64 x) (.f64 #s(literal -1/2 binary64) (.f64 (cosh.f64 x) #s(literal 2 binary64))))) (neg.f64 (.f64 (.f64 (cosh.f64 x) #s(literal 2 binary64)) (cosh.f64 x))))
(/.f64 (neg.f64 (fma.f64 #s(literal 1 binary64) (.f64 #s(literal -2 binary64) (cosh.f64 x)) (.f64 #s(literal -2 binary64) (cosh.f64 x)))) (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))
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(-.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 #s(literal 0 binary64) x))
(exp.f64 (*.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 (/.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) (exp.f64 x))) (/.f64 #s(literal 1 binary64) (.f64 #s(literal 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 (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)

eval124.0ms (5.8%)

Memory: 9.9MiB live, 191.1MiB allocated; 59ms collecting garbage
Compiler: Compiled 8 958 to 2 739 computations (69.4% saved)

prune24.0ms (1.1%)

Memory

-66.7MiB live, 39.7MiB allocated; 23ms collecting garbage

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	996	3	999
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	997	3	1 000

Accuracy

100.0%

Counts

1 000 → 3

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(/.f64 #s(literal 1 binary64) (cosh.f64 x))
▶	55.5%	#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)))))
▶	55.8%	#s(approx (/ 2 (+ (exp x) (exp (neg x)))) #s(literal 1 binary64))

Status

Accuracy

Program

▶

100.0%

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

▶

55.5%

#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)))))

▶

55.8%

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

Compiler

Compiled 27 to 27 computations (0% saved)

series9.0ms (0.4%)

Memory

16.8MiB live, 16.8MiB allocated; 0ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	68	225

Stop Event

1×	iter-limit

Counts

11 → 15

Calls

Call 1

Inputs
#s(approx (/ 2 (+ (exp x) (exp (neg x)))) #s(literal 1 binary64))
#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)))))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64))))
(*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)))
#s(literal -1/2 binary64)
(pow.f64 x #s(literal 2 binary64))
x
#s(literal 2 binary64)
(/.f64 #s(literal 1 binary64) (cosh.f64 x))
(cosh.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 (* -1/2 (pow x 2)) (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64))))
#s(approx (pow x 2) (pow.f64 x #s(literal 2 binary64)))
#s(approx x x)
#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 (/ 2 (+ (exp x) (exp (neg x)))) (/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))))
#s(approx (+ 1 (* -1/2 (pow x 2))) (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64))))
#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 (/ 2 (+ (exp x) (exp (neg x)))) (+ 1 (* -1/2 (pow x 2))) (* -1/2 (pow x 2)) -1/2 (pow x 2) x 2 (/ 1 (cosh x)) (cosh x))
2.0ms	x	@	-inf	((/ 2 (+ (exp x) (exp (neg x)))) 1 (/ 2 (+ (exp x) (exp (neg x)))) (+ 1 (* -1/2 (pow x 2))) (* -1/2 (pow x 2)) -1/2 (pow x 2) x 2 (/ 1 (cosh x)) (cosh x))
1.0ms	x	@	0	((/ 2 (+ (exp x) (exp (neg x)))) 1 (/ 2 (+ (exp x) (exp (neg x)))) (+ 1 (* -1/2 (pow x 2))) (* -1/2 (pow x 2)) -1/2 (pow x 2) x 2 (/ 1 (cosh x)) (cosh x))

Time

Variable

Point

Expression

2.0ms

inf

((/ 2 (+ (exp x) (exp (neg x)))) 1 (/ 2 (+ (exp x) (exp (neg x)))) (+ 1 (* -1/2 (pow x 2))) (* -1/2 (pow x 2)) -1/2 (pow x 2) x 2 (/ 1 (cosh x)) (cosh x))

2.0ms

-inf

((/ 2 (+ (exp x) (exp (neg x)))) 1 (/ 2 (+ (exp x) (exp (neg x)))) (+ 1 (* -1/2 (pow x 2))) (* -1/2 (pow x 2)) -1/2 (pow x 2) x 2 (/ 1 (cosh x)) (cosh x))

1.0ms

((/ 2 (+ (exp x) (exp (neg x)))) 1 (/ 2 (+ (exp x) (exp (neg x)))) (+ 1 (* -1/2 (pow x 2))) (* -1/2 (pow x 2)) -1/2 (pow x 2) x 2 (/ 1 (cosh x)) (cosh x))

rewrite250.0ms (11.7%)

Memory

0.4MiB live, 372.9MiB allocated; 51ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	51
0	21	47
1	101	43
2	366	43
3	2085	43
0	8809	41
1	22002	41

Stop Event

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

Counts

11 → 513

Calls

Call 1

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

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

eval143.0ms (6.7%)

Memory: 7.8MiB live, 95.1MiB allocated; 10ms collecting garbage
Compiler: Compiled 4 653 to 1 227 computations (73.6% saved)

prune11.0ms (0.5%)

Memory

-17.8MiB live, 27.2MiB allocated; 4ms collecting garbage

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	518	1	519
Fresh	0	0	0
Picked	1	2	3
Done	0	0	0
Total	519	3	522

Accuracy

100.0%

Counts

522 → 3

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(/.f64 #s(literal 1 binary64) (cosh.f64 x))
▶	55.5%	#s(approx (/ 2 (+ (exp x) (exp (neg x)))) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64)))
✓	55.8%	#s(approx (/ 2 (+ (exp x) (exp (neg x)))) #s(literal 1 binary64))

Status

Accuracy

Program

✓

100.0%

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

▶

55.5%

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

✓

55.8%

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

Compiler

Compiled 25 to 25 computations (0% saved)

series5.0ms (0.2%)

Memory

18.4MiB live, 18.4MiB allocated; 0ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	46	151

Stop Event

1×	iter-limit

Counts

6 → 10

Calls

Call 1

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

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 (* x x) (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 (+ (* (* x x) -1/2) 1) (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64))))
#s(approx (+ (* (* x x) -1/2) 1) (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64))))
#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
1.0ms	x	@	inf	((/ 2 (+ (exp x) (exp (neg x)))) (+ (* (* x x) -1/2) 1) (* x x) x -1/2 1)
1.0ms	x	@	-inf	((/ 2 (+ (exp x) (exp (neg x)))) (+ (* (* x x) -1/2) 1) (* x x) x -1/2 1)
0.0ms	x	@	0	((/ 2 (+ (exp x) (exp (neg x)))) (+ (* (* x x) -1/2) 1) (* x x) x -1/2 1)

Time

Variable

Point

Expression

1.0ms

inf

((/ 2 (+ (exp x) (exp (neg x)))) (+ (* (* x x) -1/2) 1) (* x x) x -1/2 1)

1.0ms

-inf

((/ 2 (+ (exp x) (exp (neg x)))) (+ (* (* x x) -1/2) 1) (* x x) x -1/2 1)

0.0ms

((/ 2 (+ (exp x) (exp (neg x)))) (+ (* (* x x) -1/2) 1) (* x x) x -1/2 1)

rewrite247.0ms (11.5%)

Memory

18.3MiB live, 402.9MiB allocated; 57ms collecting garbage

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	12	27
0	15	25
1	83	23
2	321	23
3	1707	23
0	8120	23
1	22672	23

Stop Event

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

Counts

6 → 63

Calls

Call 1

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

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

eval11.0ms (0.5%)

Memory: -37.3MiB live, 17.3MiB allocated; 7ms collecting garbage
Compiler: Compiled 412 to 245 computations (40.5% saved)

prune4.0ms (0.2%)

Memory

13.8MiB live, 13.8MiB allocated; 0ms collecting garbage

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	67	0	67
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	67	3	70

Accuracy

100.0%

Counts

70 → 3

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(/.f64 #s(literal 1 binary64) (cosh.f64 x))
✓	55.5%	#s(approx (/ 2 (+ (exp x) (exp (neg x)))) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64)))
✓	55.8%	#s(approx (/ 2 (+ (exp x) (exp (neg x)))) #s(literal 1 binary64))

Status

Accuracy

Program

✓

100.0%

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

✓

55.5%

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

✓

55.8%

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

Compiler

Compiled 55 to 50 computations (9.1% saved)

regimes7.0ms (0.3%)

Memory

-24.9MiB live, 20.2MiB allocated; 4ms collecting garbage

Counts

5 → 1

Calls

Call 1

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

2.0ms	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)

regimes4.0ms (0.2%)

Memory

14.0MiB live, 14.0MiB allocated; 0ms collecting garbage

Accuracy

Total -0.4b remaining (-1.4%)

Threshold costs -0.4b (-1.4%)

Counts

2 → 1

Calls

Call 1

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

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

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
55.8%	1	`(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))`
55.8%	1	`(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))`
55.8%	1	`x`

Compiler

Compiled 13 to 13 computations (0% saved)

derivations28.0ms (1.3%)

Memory

-10.5MiB live, 35.6MiB allocated; 3ms collecting garbage

Stop Event

1×

done

Compiler

Compiled 11 to 11 computations (0% saved)

preprocess15.0ms (0.7%)

Memory: 33.0MiB live, 33.0MiB 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%)

sample888.0ms (41.4%)

preprocess46.0ms (2.2%)

series8.0ms (0.4%)

rewrite322.0ms (15%)

eval124.0ms (5.8%)

prune24.0ms (1.1%)

series9.0ms (0.4%)

rewrite250.0ms (11.7%)

eval143.0ms (6.7%)

prune11.0ms (0.5%)

series5.0ms (0.2%)

rewrite247.0ms (11.5%)

eval11.0ms (0.5%)

prune4.0ms (0.2%)

regimes7.0ms (0.3%)

regimes4.0ms (0.2%)

derivations28.0ms (1.3%)

preprocess15.0ms (0.7%)

end0.0ms (0%)

Profiling