Metrics for Hyperbolic secant

start0.0ms (0%)

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

analyze0.0ms (0%)

Memory

1.2MiB live, 1.2MiB 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)

sample683.0ms (39.1%)

Memory

10.0MiB live, 842.5MiB allocated; 228ms collecting garbage

Samples

448.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 222.0ms

ival-exp: 124.0ms (56% of total)

ival-div!: 40.0ms (18.1% of total)

ival-neg: 35.0ms (15.8% of total)

ival-add!: 20.0ms (9% of total)

adjust: 1.0ms (0.5% of total)

Bogosity

preprocess41.0ms (2.4%)

Memory

-1.3MiB live, 44.1MiB allocated; 6ms collecting garbage

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	12	18
1	52	12
2	175	12
3	1155	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)

series3.0ms (0.2%)

Memory

5.9MiB live, 5.9MiB allocated; 0ms collecting garbage

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(hole binary64 1))
#s(approx (/ 2 (+ (exp x) (exp (neg x)))) #s(hole binary64 (+ 1 (* -1/2 (pow x 2)))))
#s(approx (/ 2 (+ (exp x) (exp (neg x)))) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 5/24 (pow x 2)) 1/2)))))
#s(approx (/ 2 (+ (exp x) (exp (neg x)))) #s(hole binary64 (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 5/24 (* -61/720 (pow x 2)))) 1/2)))))
#s(approx (+ (exp x) (exp (neg x))) #s(hole binary64 2))
#s(approx (+ (exp x) (exp (neg x))) #s(hole binary64 (+ 2 (pow x 2))))
#s(approx (+ (exp x) (exp (neg x))) #s(hole binary64 (+ 2 (* (pow x 2) (+ 1 (* 1/12 (pow x 2)))))))
#s(approx (+ (exp x) (exp (neg x))) #s(hole binary64 (+ 2 (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2)))))))))
#s(approx (exp x) #s(hole binary64 (+ 1 x)))
#s(approx (exp x) #s(hole binary64 (+ 1 (* x (+ 1 (* 1/2 x))))))
#s(approx (exp x) #s(hole binary64 (+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))))))
#s(approx x #s(hole binary64 x))
#s(approx (exp (neg x)) #s(hole binary64 (+ 1 (* -1 x))))
#s(approx (exp (neg x)) #s(hole binary64 (+ 1 (* x (- (* 1/2 x) 1)))))
#s(approx (exp (neg x)) #s(hole binary64 (+ 1 (* x (- (* x (+ 1/2 (* -1/6 x))) 1)))))
#s(approx (neg x) #s(hole binary64 (* -1 x)))
#s(approx (/ 2 (+ (exp x) (exp (neg x)))) #s(hole binary64 (/ 2 (+ (exp x) (exp (neg x))))))
#s(approx (+ (exp x) (exp (neg x))) #s(hole binary64 (+ (exp x) (exp (neg x)))))
#s(approx (exp x) #s(hole binary64 (exp x)))
#s(approx (exp (neg x)) #s(hole binary64 (exp (neg x))))
#s(approx (/ 2 (+ (exp x) (exp (neg x)))) #s(hole binary64 (/ 2 (+ (exp x) (exp (* -1 x))))))
#s(approx (+ (exp x) (exp (neg x))) #s(hole binary64 (+ (exp x) (exp (* -1 x)))))
#s(approx (exp (neg x)) #s(hole binary64 (exp (* -1 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))

rewrite148.0ms (8.5%)

Memory

-18.7MiB live, 154.9MiB allocated; 34ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	94	329
0	100	288
1	611	269
2	2467	265
0	8406	243
1	17351	243

Stop Event

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

Counts

30 → 227

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)
#s(approx (/ 2 (+ (exp x) (exp (neg x)))) #s(hole binary64 1))
#s(approx (/ 2 (+ (exp x) (exp (neg x)))) #s(hole binary64 (+ 1 (* -1/2 (pow x 2)))))
#s(approx (/ 2 (+ (exp x) (exp (neg x)))) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 5/24 (pow x 2)) 1/2)))))
#s(approx (/ 2 (+ (exp x) (exp (neg x)))) #s(hole binary64 (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 5/24 (* -61/720 (pow x 2)))) 1/2)))))
#s(approx (+ (exp x) (exp (neg x))) #s(hole binary64 2))
#s(approx (+ (exp x) (exp (neg x))) #s(hole binary64 (+ 2 (pow x 2))))
#s(approx (+ (exp x) (exp (neg x))) #s(hole binary64 (+ 2 (* (pow x 2) (+ 1 (* 1/12 (pow x 2)))))))
#s(approx (+ (exp x) (exp (neg x))) #s(hole binary64 (+ 2 (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2)))))))))
#s(approx (exp x) #s(hole binary64 (+ 1 x)))
#s(approx (exp x) #s(hole binary64 (+ 1 (* x (+ 1 (* 1/2 x))))))
#s(approx (exp x) #s(hole binary64 (+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))))))
#s(approx x #s(hole binary64 x))
#s(approx (exp (neg x)) #s(hole binary64 (+ 1 (* -1 x))))
#s(approx (exp (neg x)) #s(hole binary64 (+ 1 (* x (- (* 1/2 x) 1)))))
#s(approx (exp (neg x)) #s(hole binary64 (+ 1 (* x (- (* x (+ 1/2 (* -1/6 x))) 1)))))
#s(approx (neg x) #s(hole binary64 (* -1 x)))
#s(approx (/ 2 (+ (exp x) (exp (neg x)))) #s(hole binary64 (/ 2 (+ (exp x) (exp (neg x))))))
#s(approx (+ (exp x) (exp (neg x))) #s(hole binary64 (+ (exp x) (exp (neg x)))))
#s(approx (exp x) #s(hole binary64 (exp x)))
#s(approx (exp (neg x)) #s(hole binary64 (exp (neg x))))
#s(approx (/ 2 (+ (exp x) (exp (neg x)))) #s(hole binary64 (/ 2 (+ (exp x) (exp (* -1 x))))))
#s(approx (+ (exp x) (exp (neg x))) #s(hole binary64 (+ (exp x) (exp (* -1 x)))))
#s(approx (exp (neg x)) #s(hole binary64 (exp (* -1 x))))

Outputs
(*.f64 (/.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 1/2 binary64))
(*.f64 (/.f64 #s(literal 1/2 binary64) (cosh.f64 x)) #s(literal 2 binary64))
(*.f64 #s(literal -2 binary64) (/.f64 #s(literal -1/2 binary64) (cosh.f64 x)))
(*.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 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 2 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 (.f64 #s(literal -2 binary64) (cosh.f64 x)) (.f64 #s(literal -2 binary64) (cosh.f64 x))))
(/.f64 (fma.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) (cosh.f64 x)) (cosh.f64 x)))
(/.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 1/2 binary64) (.f64 #s(literal -2 binary64) (cosh.f64 x)) (.f64 (cosh.f64 x) #s(literal -1 binary64))) (.f64 (cosh.f64 x) (.f64 #s(literal -2 binary64) (cosh.f64 x))))
(/.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 1/2 binary64) (.f64 (cosh.f64 x) #s(literal 2 binary64)) (cosh.f64 x)) (.f64 (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 (fma.f64 #s(literal 1 binary64) (.f64 (cosh.f64 x) #s(literal 2 binary64)) (.f64 (.f64 (cosh.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64))) (.f64 (.f64 (cosh.f64 x) #s(literal 2 binary64)) (.f64 (cosh.f64 x) #s(literal 2 binary64))))
(/.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) (cosh.f64 x))
(/.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 -1/2 binary64) (cosh.f64 x)) #s(literal 2 binary64)))
(neg.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (cosh.f64 x)) #s(literal -2 binary64)))
(neg.f64 (/.f64 #s(literal -1 binary64) (cosh.f64 x)))
(fma.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (cosh.f64 x) #s(literal 2 binary64))) #s(literal 2 binary64) (/.f64 #s(literal 1/2 binary64) (cosh.f64 x)))
(fma.f64 (/.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 1/2 binary64) (/.f64 #s(literal 0 binary64) (cosh.f64 x)))
(fma.f64 (/.f64 #s(literal 1/2 binary64) (cosh.f64 x)) #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1/2 binary64) (cosh.f64 x)) #s(literal 1 binary64)))
(fma.f64 (/.f64 #s(literal 1/2 binary64) (cosh.f64 x)) #s(literal 2 binary64) (/.f64 #s(literal 0 binary64) (cosh.f64 x)))
(fma.f64 #s(literal -2 binary64) (/.f64 #s(literal -1/2 binary64) (cosh.f64 x)) (/.f64 #s(literal 0 binary64) (cosh.f64 x)))
(fma.f64 #s(literal -1 binary64) (/.f64 #s(literal -1/2 binary64) (cosh.f64 x)) (/.f64 #s(literal 1/2 binary64) (cosh.f64 x)))
(fma.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (cosh.f64 x)) (/.f64 #s(literal 1/2 binary64) (cosh.f64 x)))
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (cosh.f64 x)) (/.f64 #s(literal 1/2 binary64) (cosh.f64 x)))
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (cosh.f64 x)) (/.f64 #s(literal 0 binary64) (cosh.f64 x)))
(fma.f64 (/.f64 #s(literal 1 binary64) (cosh.f64 x)) #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (cosh.f64 x)))
(fma.f64 #s(literal 2 binary64) (/.f64 #s(literal 1/2 binary64) (cosh.f64 x)) (/.f64 #s(literal 0 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 (/.f64 #s(literal 1/2 binary64) (cosh.f64 x)) #s(literal 1 binary64)) (.f64 (/.f64 #s(literal 1/2 binary64) (cosh.f64 x)) #s(literal 1 binary64)))
(+.f64 (/.f64 #s(literal 1/2 binary64) (cosh.f64 x)) (/.f64 #s(literal 1/2 binary64) (cosh.f64 x)))
(+.f64 (/.f64 #s(literal 1 binary64) (cosh.f64 x)) (/.f64 #s(literal 0 binary64) (cosh.f64 x)))
#s(literal 2 binary64)
(*.f64 #s(literal -2 binary64) (neg.f64 (cosh.f64 x)))
(*.f64 (cosh.f64 x) #s(literal 2 binary64))
(.f64 #s(literal 2 binary64) (.f64 (cosh.f64 (/.f64 (+.f64 (neg.f64 x) (neg.f64 x)) #s(literal 2 binary64))) (cosh.f64 (/.f64 (-.f64 (neg.f64 x) (neg.f64 x)) #s(literal 2 binary64)))))
(.f64 #s(literal 2 binary64) (.f64 (cosh.f64 (/.f64 (+.f64 (neg.f64 x) x) #s(literal 2 binary64))) (cosh.f64 (/.f64 (-.f64 (neg.f64 x) x) #s(literal 2 binary64)))))
(.f64 #s(literal 2 binary64) (.f64 (cosh.f64 (/.f64 (+.f64 x (neg.f64 x)) #s(literal 2 binary64))) (cosh.f64 (/.f64 (-.f64 x (neg.f64 x)) #s(literal 2 binary64)))))
(.f64 #s(literal 2 binary64) (.f64 (cosh.f64 (/.f64 (+.f64 x x) #s(literal 2 binary64))) (cosh.f64 (/.f64 (-.f64 x x) #s(literal 2 binary64)))))
(*.f64 #s(literal 2 binary64) (cosh.f64 x))
(/.f64 (fma.f64 (cosh.f64 x) #s(literal 2 binary64) (*.f64 (cosh.f64 x) #s(literal 2 binary64))) #s(literal 2 binary64))
(/.f64 (fma.f64 (.f64 (cosh.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64) (.f64 #s(literal 2 binary64) (*.f64 (cosh.f64 x) #s(literal 2 binary64)))) #s(literal 4 binary64))
(/.f64 (.f64 (.f64 (cosh.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 2 binary64))
(/.f64 (.f64 #s(literal 2 binary64) (.f64 (cosh.f64 x) #s(literal 2 binary64))) #s(literal 2 binary64))
(neg.f64 (*.f64 #s(literal -2 binary64) (cosh.f64 x)))
(fma.f64 (/.f64 (cosh.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64) (neg.f64 (-.f64 (sinh.f64 x) (exp.f64 x))))
(fma.f64 (/.f64 (cosh.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64) (+.f64 (sinh.f64 (neg.f64 x)) (exp.f64 x)))
(fma.f64 (/.f64 (cosh.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64) (+.f64 (sinh.f64 x) (exp.f64 (neg.f64 x))))
(fma.f64 (/.f64 (cosh.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64) (cosh.f64 x))
(fma.f64 (sqrt.f64 (exp.f64 (neg.f64 x))) (sqrt.f64 (exp.f64 (neg.f64 x))) (exp.f64 x))
(fma.f64 (sqrt.f64 (exp.f64 x)) (sqrt.f64 (exp.f64 x)) (exp.f64 (neg.f64 x)))
(fma.f64 #s(literal -2 binary64) (neg.f64 (cosh.f64 x)) (-.f64 (sinh.f64 x) (sinh.f64 x)))
(fma.f64 (cosh.f64 x) #s(literal 1 binary64) (neg.f64 (-.f64 (sinh.f64 x) (exp.f64 x))))
(fma.f64 (cosh.f64 x) #s(literal 1 binary64) (+.f64 (sinh.f64 (neg.f64 x)) (exp.f64 x)))
(fma.f64 (cosh.f64 x) #s(literal 1 binary64) (+.f64 (sinh.f64 x) (exp.f64 (neg.f64 x))))
(fma.f64 (cosh.f64 x) #s(literal 1 binary64) (cosh.f64 x))
(fma.f64 (cosh.f64 x) #s(literal 2 binary64) (-.f64 (sinh.f64 x) (sinh.f64 x)))
(fma.f64 #s(literal -1 binary64) (neg.f64 (exp.f64 (neg.f64 x))) (exp.f64 x))
(fma.f64 #s(literal 1 binary64) (cosh.f64 x) (neg.f64 (-.f64 (sinh.f64 x) (exp.f64 x))))
(fma.f64 #s(literal 1 binary64) (cosh.f64 x) (+.f64 (sinh.f64 (neg.f64 x)) (exp.f64 x)))
(fma.f64 #s(literal 1 binary64) (cosh.f64 x) (+.f64 (sinh.f64 x) (exp.f64 (neg.f64 x))))
(fma.f64 #s(literal 1 binary64) (cosh.f64 x) (cosh.f64 x))
(fma.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 x)) (exp.f64 x))
(fma.f64 (*.f64 (cosh.f64 x) #s(literal 2 binary64)) #s(literal 1/2 binary64) (neg.f64 (-.f64 (sinh.f64 x) (exp.f64 x))))
(fma.f64 (*.f64 (cosh.f64 x) #s(literal 2 binary64)) #s(literal 1/2 binary64) (+.f64 (sinh.f64 (neg.f64 x)) (exp.f64 x)))
(fma.f64 (*.f64 (cosh.f64 x) #s(literal 2 binary64)) #s(literal 1/2 binary64) (+.f64 (sinh.f64 x) (exp.f64 (neg.f64 x))))
(fma.f64 (*.f64 (cosh.f64 x) #s(literal 2 binary64)) #s(literal 1/2 binary64) (cosh.f64 x))
(fma.f64 #s(literal 2 binary64) (/.f64 (cosh.f64 x) #s(literal 2 binary64)) (neg.f64 (-.f64 (sinh.f64 x) (exp.f64 x))))
(fma.f64 #s(literal 2 binary64) (/.f64 (cosh.f64 x) #s(literal 2 binary64)) (+.f64 (sinh.f64 (neg.f64 x)) (exp.f64 x)))
(fma.f64 #s(literal 2 binary64) (/.f64 (cosh.f64 x) #s(literal 2 binary64)) (+.f64 (sinh.f64 x) (exp.f64 (neg.f64 x))))
(fma.f64 #s(literal 2 binary64) (/.f64 (cosh.f64 x) #s(literal 2 binary64)) (cosh.f64 x))
(fma.f64 #s(literal 2 binary64) (*.f64 (cosh.f64 (/.f64 (+.f64 (neg.f64 x) (neg.f64 x)) #s(literal 2 binary64))) (cosh.f64 (/.f64 (-.f64 (neg.f64 x) (neg.f64 x)) #s(literal 2 binary64)))) (-.f64 (sinh.f64 x) (sinh.f64 x)))
(fma.f64 #s(literal 2 binary64) (*.f64 (cosh.f64 (/.f64 (+.f64 (neg.f64 x) x) #s(literal 2 binary64))) (cosh.f64 (/.f64 (-.f64 (neg.f64 x) x) #s(literal 2 binary64)))) (-.f64 (sinh.f64 x) (sinh.f64 x)))
(fma.f64 #s(literal 2 binary64) (*.f64 (cosh.f64 (/.f64 (+.f64 x (neg.f64 x)) #s(literal 2 binary64))) (cosh.f64 (/.f64 (-.f64 x (neg.f64 x)) #s(literal 2 binary64)))) (-.f64 (sinh.f64 x) (sinh.f64 x)))
(fma.f64 #s(literal 2 binary64) (*.f64 (cosh.f64 (/.f64 (+.f64 x x) #s(literal 2 binary64))) (cosh.f64 (/.f64 (-.f64 x x) #s(literal 2 binary64)))) (-.f64 (sinh.f64 x) (sinh.f64 x)))
(fma.f64 #s(literal 2 binary64) (cosh.f64 x) (-.f64 (sinh.f64 x) (sinh.f64 x)))
(-.f64 (+.f64 (exp.f64 (neg.f64 x)) (cosh.f64 x)) (sinh.f64 (neg.f64 x)))
(-.f64 (+.f64 (exp.f64 x) (cosh.f64 x)) (sinh.f64 x))
(-.f64 (cosh.f64 x) (neg.f64 (+.f64 (sinh.f64 (neg.f64 x)) (exp.f64 x))))
(-.f64 (cosh.f64 x) (neg.f64 (+.f64 (sinh.f64 x) (exp.f64 (neg.f64 x)))))
(-.f64 (cosh.f64 x) (-.f64 (sinh.f64 x) (exp.f64 x)))
(-.f64 (cosh.f64 x) (neg.f64 (cosh.f64 x)))
(-.f64 (*.f64 (cosh.f64 x) #s(literal 2 binary64)) (+.f64 (sinh.f64 x) (sinh.f64 (neg.f64 x))))
(-.f64 (*.f64 (cosh.f64 x) #s(literal 2 binary64)) (+.f64 (sinh.f64 (neg.f64 x)) (sinh.f64 x)))
(-.f64 (exp.f64 (neg.f64 x)) (neg.f64 (exp.f64 x)))
(-.f64 (exp.f64 x) (neg.f64 (exp.f64 (neg.f64 x))))
(+.f64 (+.f64 (exp.f64 (neg.f64 x)) (cosh.f64 x)) (sinh.f64 x))
(+.f64 (+.f64 (exp.f64 x) (cosh.f64 x)) (sinh.f64 (neg.f64 x)))
(+.f64 (cosh.f64 x) (neg.f64 (-.f64 (sinh.f64 x) (exp.f64 x))))
(+.f64 (cosh.f64 x) (+.f64 (sinh.f64 (neg.f64 x)) (exp.f64 x)))
(+.f64 (cosh.f64 x) (+.f64 (sinh.f64 x) (exp.f64 (neg.f64 x))))
(+.f64 (cosh.f64 x) (cosh.f64 x))
(+.f64 (*.f64 (cosh.f64 x) #s(literal 2 binary64)) (-.f64 (sinh.f64 x) (sinh.f64 x)))
(+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x))
(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
(*.f64 (sqrt.f64 (exp.f64 x)) (sqrt.f64 (exp.f64 x)))
(pow.f64 (exp.f64 (+.f64 x x)) #s(literal 1/2 binary64))
(pow.f64 (E.f64) x)
(pow.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (neg.f64 x))
(pow.f64 (exp.f64 (neg.f64 x)) #s(literal -1 binary64))
(pow.f64 (exp.f64 x) #s(literal 1 binary64))
(/.f64 (fma.f64 #s(literal 2 binary64) (sinh.f64 x) (*.f64 (cosh.f64 x) #s(literal 2 binary64))) #s(literal 2 binary64))
(/.f64 (fma.f64 (cosh.f64 x) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 x))) #s(literal 2 binary64))
(/.f64 (-.f64 (.f64 (cosh.f64 x) #s(literal 2 binary64)) (neg.f64 (.f64 #s(literal 2 binary64) (sinh.f64 x)))) #s(literal 2 binary64))
(/.f64 (fma.f64 (.f64 #s(literal 2 binary64) (sinh.f64 x)) #s(literal 2 binary64) (.f64 #s(literal 2 binary64) (*.f64 (cosh.f64 x) #s(literal 2 binary64)))) #s(literal 4 binary64))
(/.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 4 binary64))
(/.f64 (-.f64 (.f64 (.f64 (cosh.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)) (.f64 #s(literal 2 binary64) (neg.f64 (.f64 #s(literal 2 binary64) (sinh.f64 x))))) #s(literal 4 binary64))
(/.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 x)))
(neg.f64 (neg.f64 (exp.f64 x)))
(fma.f64 (/.f64 (cosh.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64) (sinh.f64 x))
(fma.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 x)) #s(literal 1/2 binary64) (cosh.f64 x))
(fma.f64 (cosh.f64 x) #s(literal 1 binary64) (sinh.f64 x))
(fma.f64 #s(literal 1 binary64) (cosh.f64 x) (sinh.f64 x))
(fma.f64 (*.f64 (cosh.f64 x) #s(literal 2 binary64)) #s(literal 1/2 binary64) (sinh.f64 x))
(fma.f64 #s(literal 2 binary64) (/.f64 (cosh.f64 x) #s(literal 2 binary64)) (sinh.f64 x))
(sqrt.f64 (exp.f64 (+.f64 x x)))
(-.f64 (sinh.f64 x) (neg.f64 (cosh.f64 x)))
(-.f64 (cosh.f64 x) (sinh.f64 (neg.f64 x)))
(fabs.f64 (neg.f64 (exp.f64 x)))
(fabs.f64 (exp.f64 x))
(exp.f64 x)
(+.f64 (sinh.f64 x) (cosh.f64 x))
(+.f64 (cosh.f64 x) (sinh.f64 x))
x
(*.f64 (sqrt.f64 (exp.f64 (neg.f64 x))) (sqrt.f64 (exp.f64 (neg.f64 x))))
(*.f64 #s(literal -1 binary64) (neg.f64 (exp.f64 (neg.f64 x))))
(*.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 x)))
(pow.f64 (exp.f64 (*.f64 (neg.f64 x) #s(literal 2 binary64))) #s(literal 1/2 binary64))
(pow.f64 (exp.f64 (+.f64 x x)) #s(literal -1/2 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (E.f64)) x)
(pow.f64 (exp.f64 x) #s(literal -1 binary64))
(/.f64 (*.f64 #s(literal 2 binary64) (exp.f64 (neg.f64 x))) #s(literal 2 binary64))
(/.f64 (fma.f64 #s(literal 2 binary64) (sinh.f64 (neg.f64 x)) (*.f64 (cosh.f64 x) #s(literal 2 binary64))) #s(literal 2 binary64))
(/.f64 (fma.f64 (cosh.f64 x) #s(literal 2 binary64) (neg.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 x)))) #s(literal 2 binary64))
(/.f64 (-.f64 (.f64 (cosh.f64 x) #s(literal 2 binary64)) (.f64 #s(literal 2 binary64) (sinh.f64 x))) #s(literal 2 binary64))
(/.f64 (fma.f64 (neg.f64 (.f64 #s(literal 2 binary64) (sinh.f64 x))) #s(literal 2 binary64) (.f64 #s(literal 2 binary64) (*.f64 (cosh.f64 x) #s(literal 2 binary64)))) #s(literal 4 binary64))
(/.f64 (fma.f64 (.f64 (cosh.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64) (.f64 #s(literal 2 binary64) (neg.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 x))))) #s(literal 4 binary64))
(/.f64 (-.f64 (.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 4 binary64))
(/.f64 #s(literal -2 binary64) (*.f64 #s(literal 2 binary64) (neg.f64 (exp.f64 x))))
(/.f64 #s(literal -1 binary64) (neg.f64 (exp.f64 x)))
(/.f64 #s(literal 1 binary64) (exp.f64 x))
(/.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (exp.f64 x)))
(neg.f64 (neg.f64 (exp.f64 (neg.f64 x))))
(fma.f64 (/.f64 (cosh.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64) (*.f64 #s(literal 1 binary64) (sinh.f64 (neg.f64 x))))
(fma.f64 (/.f64 (cosh.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64) (*.f64 (sinh.f64 (neg.f64 x)) #s(literal 1 binary64)))
(fma.f64 (/.f64 (cosh.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64) (sinh.f64 (neg.f64 x)))
(fma.f64 (sqrt.f64 (exp.f64 (neg.f64 x))) (sqrt.f64 (exp.f64 (neg.f64 x))) (/.f64 #s(literal 0 binary64) (exp.f64 x)))
(fma.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 x))) #s(literal 1/2 binary64) (cosh.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) (*.f64 #s(literal 1 binary64) (sinh.f64 (neg.f64 x))))
(fma.f64 (cosh.f64 x) #s(literal 1 binary64) (*.f64 (sinh.f64 (neg.f64 x)) #s(literal 1 binary64)))
(fma.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 (neg.f64 x)) (cosh.f64 x))
(fma.f64 #s(literal 1 binary64) (cosh.f64 x) (*.f64 #s(literal 1 binary64) (sinh.f64 (neg.f64 x))))
(fma.f64 #s(literal 1 binary64) (cosh.f64 x) (*.f64 (sinh.f64 (neg.f64 x)) #s(literal 1 binary64)))
(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 (.f64 (cosh.f64 x) #s(literal 2 binary64)) #s(literal 1/2 binary64) (.f64 #s(literal 1 binary64) (sinh.f64 (neg.f64 x))))
(fma.f64 (.f64 (cosh.f64 x) #s(literal 2 binary64)) #s(literal 1/2 binary64) (.f64 (sinh.f64 (neg.f64 x)) #s(literal 1 binary64)))
(fma.f64 (*.f64 (cosh.f64 x) #s(literal 2 binary64)) #s(literal 1/2 binary64) (sinh.f64 (neg.f64 x)))
(fma.f64 #s(literal 2 binary64) (/.f64 (cosh.f64 x) #s(literal 2 binary64)) (*.f64 #s(literal 1 binary64) (sinh.f64 (neg.f64 x))))
(fma.f64 #s(literal 2 binary64) (/.f64 (cosh.f64 x) #s(literal 2 binary64)) (*.f64 (sinh.f64 (neg.f64 x)) #s(literal 1 binary64)))
(fma.f64 #s(literal 2 binary64) (/.f64 (cosh.f64 x) #s(literal 2 binary64)) (sinh.f64 (neg.f64 x)))
(sqrt.f64 (exp.f64 (*.f64 (neg.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 (neg.f64 (exp.f64 (neg.f64 x))))
(fabs.f64 (exp.f64 (neg.f64 x)))
(exp.f64 (neg.f64 x))
(+.f64 (*.f64 #s(literal 1 binary64) (sinh.f64 (neg.f64 x))) (cosh.f64 x))
(+.f64 (*.f64 (sinh.f64 (neg.f64 x)) #s(literal 1 binary64)) (cosh.f64 x))
(+.f64 (sinh.f64 (neg.f64 x)) (cosh.f64 x))
(+.f64 (cosh.f64 x) (*.f64 #s(literal 1 binary64) (sinh.f64 (neg.f64 x))))
(+.f64 (cosh.f64 x) (*.f64 (sinh.f64 (neg.f64 x)) #s(literal 1 binary64)))
(+.f64 (cosh.f64 x) (sinh.f64 (neg.f64 x)))
(+.f64 (exp.f64 (neg.f64 x)) (/.f64 #s(literal 0 binary64) (exp.f64 x)))
(*.f64 #s(literal -1 binary64) x)
(*.f64 #s(literal 1 binary64) (neg.f64 x))
(*.f64 (neg.f64 x) #s(literal 1 binary64))
(*.f64 x #s(literal -1 binary64))
(/.f64 (*.f64 #s(literal 2 binary64) (neg.f64 x)) #s(literal 2 binary64))
(/.f64 (*.f64 (neg.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64))
(neg.f64 (-.f64 x #s(literal 0 binary64)))
(neg.f64 (+.f64 #s(literal 0 binary64) x))
(neg.f64 x)
(fma.f64 #s(literal -1 binary64) x (*.f64 (neg.f64 x) #s(literal 0 binary64)))
(fma.f64 #s(literal -1 binary64) x (*.f64 #s(literal 0 binary64) (neg.f64 x)))
(fma.f64 #s(literal 1 binary64) (neg.f64 x) (*.f64 (neg.f64 x) #s(literal 0 binary64)))
(fma.f64 #s(literal 1 binary64) (neg.f64 x) (*.f64 #s(literal 0 binary64) (neg.f64 x)))
(fma.f64 (neg.f64 x) #s(literal 1 binary64) (*.f64 (neg.f64 x) #s(literal 0 binary64)))
(fma.f64 (neg.f64 x) #s(literal 1 binary64) (*.f64 #s(literal 0 binary64) (neg.f64 x)))
(fma.f64 x #s(literal -1 binary64) (*.f64 (neg.f64 x) #s(literal 0 binary64)))
(fma.f64 x #s(literal -1 binary64) (*.f64 #s(literal 0 binary64) (neg.f64 x)))
(-.f64 #s(literal 0 binary64) x)
(+.f64 #s(literal 0 binary64) (neg.f64 x))
(+.f64 (neg.f64 x) (*.f64 (neg.f64 x) #s(literal 0 binary64)))
(+.f64 (neg.f64 x) (*.f64 #s(literal 0 binary64) (neg.f64 x)))
#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)))
#s(approx (/ 2 (+ (exp x) (exp (neg x)))) (fma.f64 (fma.f64 #s(literal 5/24 binary64) (.f64 x x) #s(literal -1/2 binary64)) (.f64 x x) #s(literal 1 binary64)))
#s(approx (/ 2 (+ (exp x) (exp (neg x)))) (fma.f64 (.f64 (fma.f64 (fma.f64 #s(literal -61/720 binary64) (.f64 x x) #s(literal 5/24 binary64)) (*.f64 x x) #s(literal -1/2 binary64)) x) x #s(literal 1 binary64)))
#s(approx (+ (exp x) (exp (neg x))) #s(literal 2 binary64))
#s(approx (+ (exp x) (exp (neg x))) (fma.f64 x x #s(literal 2 binary64)))
#s(approx (+ (exp x) (exp (neg x))) (fma.f64 (fma.f64 #s(literal 1/12 binary64) (.f64 x x) #s(literal 1 binary64)) (.f64 x x) #s(literal 2 binary64)))
#s(approx (+ (exp x) (exp (neg x))) (fma.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/360 binary64) (.f64 x x) #s(literal 1/12 binary64)) (*.f64 x x) #s(literal 1 binary64)) x) x #s(literal 2 binary64)))
#s(approx (exp x) (-.f64 x #s(literal -1 binary64)))
#s(approx (exp x) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 1 binary64)))
#s(approx (exp x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x #s(literal 1 binary64)))
#s(approx x x)
#s(approx (exp (neg x)) (-.f64 #s(literal 1 binary64) x))
#s(approx (exp (neg x)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)) x #s(literal 1 binary64)))
#s(approx (exp (neg x)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x #s(literal 1 binary64)))
#s(approx (neg x) (neg.f64 x))
#s(approx (/ 2 (+ (exp x) (exp (neg x)))) (/.f64 #s(literal 1 binary64) (cosh.f64 x)))
#s(approx (+ (exp x) (exp (neg x))) (*.f64 (cosh.f64 x) #s(literal 2 binary64)))
#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 1 binary64) (cosh.f64 x)))
#s(approx (+ (exp x) (exp (neg x))) (*.f64 (cosh.f64 x) #s(literal 2 binary64)))
#s(approx (exp (neg x)) (exp.f64 (neg.f64 x)))

eval30.0ms (1.7%)

Memory: -4.1MiB live, 42.0MiB allocated; 3ms collecting garbage
Compiler: Compiled 1 459 to 694 computations (52.4% saved)

prune5.0ms (0.3%)

Memory

13.9MiB live, 13.9MiB allocated; 0ms collecting garbage

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	213	5	218
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	214	5	219

Accuracy

100.0%

Counts

219 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	54.3%	(/.f64 (.f64 (cosh.f64 x) #s(literal 2 binary64)) (.f64 (*.f64 (cosh.f64 x) #s(literal 2 binary64)) (cosh.f64 x)))
▶	77.5%	(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 x x #s(literal 2 binary64))))
▶	100.0%	(/.f64 #s(literal 1 binary64) (cosh.f64 x))
▶	54.5%	#s(approx (/ 2 (+ (exp x) (exp (neg x)))) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64)))
▶	54.9%	#s(approx (/ 2 (+ (exp x) (exp (neg x)))) #s(literal 1 binary64))

Compiler

Compiled 86 to 80 computations (7% saved)

series10.0ms (0.6%)

Memory

19.1MiB live, 19.1MiB allocated; 0ms collecting garbage

Counts

16 → 27

Calls

Call 1

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

Outputs
#s(approx (/ 1 (cosh x)) #s(hole binary64 1))
#s(approx (/ 1 (cosh x)) #s(hole binary64 (+ 1 (* -1/2 (pow x 2)))))
#s(approx (/ 1 (cosh x)) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 5/24 (pow x 2)) 1/2)))))
#s(approx (/ 1 (cosh x)) #s(hole binary64 (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 5/24 (* -61/720 (pow x 2)))) 1/2)))))
#s(approx (cosh x) #s(hole binary64 (+ 1 (* 1/2 (pow x 2)))))
#s(approx (cosh x) #s(hole binary64 (+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2)))))))
#s(approx (cosh x) #s(hole binary64 (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))))
#s(approx x #s(hole binary64 x))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx (+ (exp x) (exp (neg x))) #s(hole binary64 2))
#s(approx (+ (exp x) (exp (neg x))) #s(hole binary64 (+ 2 (pow x 2))))
#s(approx (+ (exp x) (exp (neg x))) #s(hole binary64 (+ 2 (* (pow x 2) (+ 1 (* 1/12 (pow x 2)))))))
#s(approx (+ (exp x) (exp (neg x))) #s(hole binary64 (+ 2 (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2)))))))))
#s(approx (* (* (cosh x) 2) (cosh x)) #s(hole binary64 (+ 2 (* 2 (pow x 2)))))
#s(approx (* (* (cosh x) 2) (cosh x)) #s(hole binary64 (+ 2 (* (pow x 2) (+ 2 (* 2/3 (pow x 2)))))))
#s(approx (* (* (cosh x) 2) (cosh x)) #s(hole binary64 (+ 2 (* (pow x 2) (+ 2 (* (pow x 2) (+ 2/3 (* 4/45 (pow x 2)))))))))
#s(approx (/ 1 (cosh x)) #s(hole binary64 (/ 2 (+ (exp x) (/ 1 (exp x))))))
#s(approx (cosh x) #s(hole binary64 (* 1/2 (+ (exp x) (/ 1 (exp x))))))
#s(approx (/ 2 (+ (exp x) (exp (neg x)))) #s(hole binary64 (/ 2 (+ (exp x) (exp (neg x))))))
#s(approx (+ (* (* x x) -1/2) 1) #s(hole binary64 (* -1/2 (pow x 2))))
#s(approx (+ (* (* x x) -1/2) 1) #s(hole binary64 (* (pow x 2) (- (/ 1 (pow x 2)) 1/2))))
#s(approx (+ (exp x) (exp (neg x))) #s(hole binary64 (+ (exp x) (exp (neg x)))))
#s(approx (+ (* x x) 2) #s(hole binary64 (* (pow x 2) (+ 1 (* 2 (/ 1 (pow x 2)))))))
#s(approx (* (cosh x) 2) #s(hole binary64 (+ (exp x) (/ 1 (exp x)))))
#s(approx (* (* (cosh x) 2) (cosh x)) #s(hole binary64 (* 1/2 (pow (+ (exp x) (/ 1 (exp x))) 2))))
#s(approx (/ 2 (+ (exp x) (exp (neg x)))) #s(hole binary64 (/ 2 (+ (exp x) (exp (* -1 x))))))
#s(approx (+ (exp x) (exp (neg x))) #s(hole binary64 (+ (exp x) (exp (* -1 x)))))

Calls

3 calls:

Time	Variable		Point	Expression
4.0ms	x	@	-inf	((/ 1 (cosh x)) 1 (cosh x) x (/ 2 (+ (exp x) (exp (neg x)))) (/ 2 (+ (exp x) (exp (neg x)))) (+ (* (* x x) -1/2) 1) (* x x) -1/2 (/ 2 (+ (exp x) (exp (neg x)))) 2 (+ (exp x) (exp (neg x))) (+ (* x x) 2) (/ (* (cosh x) 2) (* (* (cosh x) 2) (cosh x))) (* (cosh x) 2) (* (* (cosh x) 2) (cosh x)))
3.0ms	x	@	inf	((/ 1 (cosh x)) 1 (cosh x) x (/ 2 (+ (exp x) (exp (neg x)))) (/ 2 (+ (exp x) (exp (neg x)))) (+ (* (* x x) -1/2) 1) (* x x) -1/2 (/ 2 (+ (exp x) (exp (neg x)))) 2 (+ (exp x) (exp (neg x))) (+ (* x x) 2) (/ (* (cosh x) 2) (* (* (cosh x) 2) (cosh x))) (* (cosh x) 2) (* (* (cosh x) 2) (cosh x)))
2.0ms	x	@	0	((/ 1 (cosh x)) 1 (cosh x) x (/ 2 (+ (exp x) (exp (neg x)))) (/ 2 (+ (exp x) (exp (neg x)))) (+ (* (* x x) -1/2) 1) (* x x) -1/2 (/ 2 (+ (exp x) (exp (neg x)))) 2 (+ (exp x) (exp (neg x))) (+ (* x x) 2) (/ (* (cosh x) 2) (* (* (cosh x) 2) (cosh x))) (* (cosh x) 2) (* (* (cosh x) 2) (cosh x)))

Time

Variable

Point

Expression

4.0ms

-inf

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

3.0ms

inf

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

2.0ms

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

rewrite198.0ms (11.3%)

Memory

-22.7MiB live, 215.9MiB allocated; 18ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	130	509
0	145	449
1	842	430
2	3912	408
0	8707	388
1	22462	388

Stop Event

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

Counts

43 → 622

Calls

Call 1

Inputs
(/.f64 #s(literal 1 binary64) (cosh.f64 x))
#s(literal 1 binary64)
(cosh.f64 x)
x
#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)))
(fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64))
(*.f64 x x)
#s(literal -1/2 binary64)
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 x x #s(literal 2 binary64))))
#s(literal 2 binary64)
#s(approx (+ (exp x) (exp (neg x))) (fma.f64 x x #s(literal 2 binary64)))
(fma.f64 x 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 (cosh.f64 x) #s(literal 2 binary64))
(.f64 (.f64 (cosh.f64 x) #s(literal 2 binary64)) (cosh.f64 x))
#s(approx (/ 1 (cosh x)) #s(hole binary64 1))
#s(approx (/ 1 (cosh x)) #s(hole binary64 (+ 1 (* -1/2 (pow x 2)))))
#s(approx (/ 1 (cosh x)) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 5/24 (pow x 2)) 1/2)))))
#s(approx (/ 1 (cosh x)) #s(hole binary64 (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 5/24 (* -61/720 (pow x 2)))) 1/2)))))
#s(approx (cosh x) #s(hole binary64 (+ 1 (* 1/2 (pow x 2)))))
#s(approx (cosh x) #s(hole binary64 (+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2)))))))
#s(approx (cosh x) #s(hole binary64 (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))))
#s(approx x #s(hole binary64 x))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx (+ (exp x) (exp (neg x))) #s(hole binary64 2))
#s(approx (+ (exp x) (exp (neg x))) #s(hole binary64 (+ 2 (pow x 2))))
#s(approx (+ (exp x) (exp (neg x))) #s(hole binary64 (+ 2 (* (pow x 2) (+ 1 (* 1/12 (pow x 2)))))))
#s(approx (+ (exp x) (exp (neg x))) #s(hole binary64 (+ 2 (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2)))))))))
#s(approx (* (* (cosh x) 2) (cosh x)) #s(hole binary64 (+ 2 (* 2 (pow x 2)))))
#s(approx (* (* (cosh x) 2) (cosh x)) #s(hole binary64 (+ 2 (* (pow x 2) (+ 2 (* 2/3 (pow x 2)))))))
#s(approx (* (* (cosh x) 2) (cosh x)) #s(hole binary64 (+ 2 (* (pow x 2) (+ 2 (* (pow x 2) (+ 2/3 (* 4/45 (pow x 2)))))))))
#s(approx (/ 1 (cosh x)) #s(hole binary64 (/ 2 (+ (exp x) (/ 1 (exp x))))))
#s(approx (cosh x) #s(hole binary64 (* 1/2 (+ (exp x) (/ 1 (exp x))))))
#s(approx (/ 2 (+ (exp x) (exp (neg x)))) #s(hole binary64 (/ 2 (+ (exp x) (exp (neg x))))))
#s(approx (+ (* (* x x) -1/2) 1) #s(hole binary64 (* -1/2 (pow x 2))))
#s(approx (+ (* (* x x) -1/2) 1) #s(hole binary64 (* (pow x 2) (- (/ 1 (pow x 2)) 1/2))))
#s(approx (+ (exp x) (exp (neg x))) #s(hole binary64 (+ (exp x) (exp (neg x)))))
#s(approx (+ (* x x) 2) #s(hole binary64 (* (pow x 2) (+ 1 (* 2 (/ 1 (pow x 2)))))))
#s(approx (* (cosh x) 2) #s(hole binary64 (+ (exp x) (/ 1 (exp x)))))
#s(approx (* (* (cosh x) 2) (cosh x)) #s(hole binary64 (* 1/2 (pow (+ (exp x) (/ 1 (exp x))) 2))))
#s(approx (/ 2 (+ (exp x) (exp (neg x)))) #s(hole binary64 (/ 2 (+ (exp x) (exp (* -1 x))))))
#s(approx (+ (exp x) (exp (neg x))) #s(hole binary64 (+ (exp x) (exp (* -1 x)))))

Outputs
(*.f64 (pow.f64 (cosh.f64 x) #s(literal -2 binary64)) (cosh.f64 x))
(*.f64 (/.f64 #s(literal 1/2 binary64) (cosh.f64 x)) #s(literal 2 binary64))
(.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) (cosh.f64 x)) (cosh.f64 x)) (.f64 (cosh.f64 x) #s(literal 2 binary64)))
(*.f64 (/.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 1/2 binary64))
(.f64 (.f64 #s(literal -2 binary64) (cosh.f64 x)) (/.f64 #s(literal -1 binary64) (.f64 (.f64 (cosh.f64 x) (cosh.f64 x)) #s(literal 2 binary64))))
(.f64 #s(literal -2 binary64) (/.f64 #s(literal 1 binary64) (.f64 #s(literal -2 binary64) (cosh.f64 x))))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (cosh.f64 x)))
(*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 2 binary64) (cosh.f64 x)))
(*.f64 (cosh.f64 x) (pow.f64 (cosh.f64 x) #s(literal -2 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (cosh.f64 x)) #s(literal 1 binary64))
(.f64 (.f64 (cosh.f64 x) #s(literal 2 binary64)) (/.f64 (/.f64 #s(literal 1/2 binary64) (cosh.f64 x)) (cosh.f64 x)))
(.f64 #s(literal 2 binary64) (.f64 (cosh.f64 x) (/.f64 (/.f64 #s(literal 1/2 binary64) (cosh.f64 x)) (cosh.f64 x))))
(.f64 #s(literal 2 binary64) (/.f64 (cosh.f64 x) (.f64 (*.f64 (cosh.f64 x) (cosh.f64 x)) #s(literal 2 binary64))))
(*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1/2 binary64) (cosh.f64 x)))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (cosh.f64 x)))
(pow.f64 (neg.f64 (neg.f64 (cosh.f64 x))) #s(literal -1 binary64))
(pow.f64 (cosh.f64 x) #s(literal -1 binary64))
(/.f64 (fma.f64 (exp.f64 (neg.f64 x)) (.f64 (.f64 (cosh.f64 x) (cosh.f64 x)) #s(literal 2 binary64)) (.f64 (.f64 (.f64 (cosh.f64 x) (cosh.f64 x)) #s(literal 2 binary64)) (exp.f64 x))) (.f64 (.f64 (.f64 (cosh.f64 x) (cosh.f64 x)) #s(literal 2 binary64)) (.f64 (.f64 (cosh.f64 x) (cosh.f64 x)) #s(literal 2 binary64))))
(/.f64 (fma.f64 (exp.f64 x) (.f64 (.f64 (cosh.f64 x) (cosh.f64 x)) #s(literal 2 binary64)) (.f64 (.f64 (.f64 (cosh.f64 x) (cosh.f64 x)) #s(literal 2 binary64)) (exp.f64 (neg.f64 x)))) (.f64 (.f64 (.f64 (cosh.f64 x) (cosh.f64 x)) #s(literal 2 binary64)) (.f64 (.f64 (cosh.f64 x) (cosh.f64 x)) #s(literal 2 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 (*.f64 (cosh.f64 x) (cosh.f64 x)) #s(literal 4 binary64)))
(/.f64 (fma.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) (cosh.f64 x)) (cosh.f64 x)))
(/.f64 (+.f64 #s(literal -2 binary64) (.f64 (.f64 #s(literal -2 binary64) (cosh.f64 x)) (/.f64 #s(literal 1 binary64) (cosh.f64 x)))) (.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 1/2 binary64) (.f64 #s(literal -2 binary64) (cosh.f64 x)) (.f64 (cosh.f64 x) #s(literal -1 binary64))) (.f64 (.f64 #s(literal -2 binary64) (cosh.f64 x)) (cosh.f64 x)))
(/.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 (/.f64 #s(literal 1 binary64) (cosh.f64 x)) (.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 binary64) (cosh.f64 x)) (cosh.f64 x) #s(literal 1 binary64)) (*.f64 (cosh.f64 x) #s(literal 2 binary64)))
(/.f64 (+.f64 (/.f64 #s(literal 2 binary64) (cosh.f64 x)) (/.f64 #s(literal 2 binary64) (cosh.f64 x))) #s(literal 4 binary64))
(/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (cosh.f64 x)) (.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 (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 (+.f64 #s(literal 2 binary64) (.f64 (.f64 (cosh.f64 x) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (cosh.f64 x)))) (.f64 (.f64 (cosh.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)))
(/.f64 (fma.f64 #s(literal 1 binary64) (.f64 (cosh.f64 x) #s(literal 2 binary64)) (.f64 (cosh.f64 x) #s(literal 2 binary64))) (.f64 (.f64 (cosh.f64 x) (cosh.f64 x)) #s(literal 4 binary64)))
(/.f64 (-.f64 (.f64 (exp.f64 x) (.f64 (.f64 (cosh.f64 x) (cosh.f64 x)) #s(literal 2 binary64))) (.f64 (.f64 (.f64 (cosh.f64 x) (cosh.f64 x)) #s(literal 2 binary64)) (neg.f64 (exp.f64 (neg.f64 x))))) (.f64 (.f64 (.f64 (cosh.f64 x) (cosh.f64 x)) #s(literal 2 binary64)) (.f64 (*.f64 (cosh.f64 x) (cosh.f64 x)) #s(literal 2 binary64))))
(/.f64 (neg.f64 (.f64 (cosh.f64 x) (/.f64 #s(literal 2 binary64) (cosh.f64 x)))) (.f64 #s(literal -2 binary64) (cosh.f64 x)))
(/.f64 (neg.f64 (.f64 (.f64 (cosh.f64 x) #s(literal 2 binary64)) (pow.f64 (cosh.f64 x) #s(literal -2 binary64)))) #s(literal -2 binary64))
(/.f64 (neg.f64 (.f64 (.f64 (cosh.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64))) (neg.f64 (.f64 (.f64 (cosh.f64 x) (cosh.f64 x)) #s(literal 4 binary64))))
(/.f64 (neg.f64 (/.f64 #s(literal 2 binary64) (cosh.f64 x))) #s(literal -2 binary64))
(/.f64 (.f64 (cosh.f64 x) (/.f64 #s(literal 2 binary64) (cosh.f64 x))) (.f64 (cosh.f64 x) #s(literal 2 binary64)))
(/.f64 (.f64 (.f64 (cosh.f64 x) #s(literal 2 binary64)) (pow.f64 (cosh.f64 x) #s(literal -2 binary64))) #s(literal 2 binary64))
(/.f64 (.f64 (.f64 (cosh.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)) (.f64 (.f64 (cosh.f64 x) (cosh.f64 x)) #s(literal 4 binary64)))
(/.f64 (/.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 2 binary64))
(/.f64 (.f64 #s(literal -2 binary64) (cosh.f64 x)) (neg.f64 (neg.f64 (.f64 (*.f64 #s(literal -2 binary64) (cosh.f64 x)) (cosh.f64 x)))))
(/.f64 (.f64 #s(literal -2 binary64) (cosh.f64 x)) (.f64 #s(literal -1/2 binary64) (.f64 (.f64 (cosh.f64 x) (cosh.f64 x)) #s(literal 4 binary64))))
(/.f64 (.f64 #s(literal -2 binary64) (cosh.f64 x)) (.f64 (.f64 (.f64 (cosh.f64 x) (cosh.f64 x)) #s(literal 4 binary64)) #s(literal -1/2 binary64)))
(/.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 (neg.f64 (neg.f64 (cosh.f64 x)))))
(/.f64 #s(literal -1 binary64) (.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)) #s(literal -1/2 binary64)))
(/.f64 #s(literal -1 binary64) (neg.f64 (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 (*.f64 (cosh.f64 x) (cosh.f64 x)) #s(literal 2 binary64)))
(/.f64 #s(literal 2 binary64) (*.f64 (cosh.f64 x) #s(literal 2 binary64)))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (cosh.f64 x))))
(/.f64 #s(literal 1 binary64) (cosh.f64 x))
(neg.f64 (/.f64 #s(literal 2 binary64) (*.f64 #s(literal -2 binary64) (cosh.f64 x))))
(neg.f64 (/.f64 (.f64 #s(literal -2 binary64) (cosh.f64 x)) (.f64 (*.f64 (cosh.f64 x) (cosh.f64 x)) #s(literal 2 binary64))))
(neg.f64 (/.f64 #s(literal -1 binary64) (cosh.f64 x)))
(fma.f64 (pow.f64 (cosh.f64 x) #s(literal -2 binary64)) (cosh.f64 x) (/.f64 #s(literal 0 binary64) (neg.f64 (neg.f64 (cosh.f64 x)))))
(fma.f64 (pow.f64 (cosh.f64 x) #s(literal -2 binary64)) (cosh.f64 x) (/.f64 #s(literal 0 binary64) (cosh.f64 x)))
(fma.f64 (/.f64 #s(literal 1/2 binary64) (cosh.f64 x)) #s(literal 2 binary64) (/.f64 #s(literal 0 binary64) (neg.f64 (neg.f64 (cosh.f64 x)))))
(fma.f64 (/.f64 #s(literal 1/2 binary64) (cosh.f64 x)) #s(literal 2 binary64) (/.f64 #s(literal 0 binary64) (cosh.f64 x)))
(fma.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) (cosh.f64 x)) (cosh.f64 x)) (*.f64 (cosh.f64 x) #s(literal 2 binary64)) (/.f64 #s(literal 0 binary64) (neg.f64 (neg.f64 (cosh.f64 x)))))
(fma.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) (cosh.f64 x)) (cosh.f64 x)) (*.f64 (cosh.f64 x) #s(literal 2 binary64)) (/.f64 #s(literal 0 binary64) (cosh.f64 x)))
(fma.f64 (/.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 1/2 binary64) (/.f64 #s(literal 0 binary64) (neg.f64 (neg.f64 (cosh.f64 x)))))
(fma.f64 (/.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 1/2 binary64) (/.f64 #s(literal 0 binary64) (cosh.f64 x)))
(fma.f64 (.f64 #s(literal -2 binary64) (cosh.f64 x)) (/.f64 #s(literal -1 binary64) (.f64 (*.f64 (cosh.f64 x) (cosh.f64 x)) #s(literal 2 binary64))) (/.f64 #s(literal 0 binary64) (neg.f64 (neg.f64 (cosh.f64 x)))))
(fma.f64 (.f64 #s(literal -2 binary64) (cosh.f64 x)) (/.f64 #s(literal -1 binary64) (.f64 (*.f64 (cosh.f64 x) (cosh.f64 x)) #s(literal 2 binary64))) (/.f64 #s(literal 0 binary64) (cosh.f64 x)))
(fma.f64 #s(literal -2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal -2 binary64) (cosh.f64 x))) (/.f64 #s(literal 0 binary64) (neg.f64 (neg.f64 (cosh.f64 x)))))
(fma.f64 #s(literal -2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal -2 binary64) (cosh.f64 x))) (/.f64 #s(literal 0 binary64) (cosh.f64 x)))
(fma.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (cosh.f64 x)) (/.f64 #s(literal 0 binary64) (neg.f64 (neg.f64 (cosh.f64 x)))))
(fma.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (cosh.f64 x)) (/.f64 #s(literal 0 binary64) (cosh.f64 x)))
(fma.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 2 binary64) (cosh.f64 x)) (/.f64 #s(literal 0 binary64) (neg.f64 (neg.f64 (cosh.f64 x)))))
(fma.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 2 binary64) (cosh.f64 x)) (/.f64 #s(literal 0 binary64) (cosh.f64 x)))
(fma.f64 (cosh.f64 x) (pow.f64 (cosh.f64 x) #s(literal -2 binary64)) (/.f64 #s(literal 0 binary64) (neg.f64 (neg.f64 (cosh.f64 x)))))
(fma.f64 (cosh.f64 x) (pow.f64 (cosh.f64 x) #s(literal -2 binary64)) (/.f64 #s(literal 0 binary64) (cosh.f64 x)))
(fma.f64 (/.f64 #s(literal 1 binary64) (cosh.f64 x)) #s(literal 1 binary64) (/.f64 #s(literal 0 binary64) (neg.f64 (neg.f64 (cosh.f64 x)))))
(fma.f64 (/.f64 #s(literal 1 binary64) (cosh.f64 x)) #s(literal 1 binary64) (/.f64 #s(literal 0 binary64) (cosh.f64 x)))
(fma.f64 (*.f64 (cosh.f64 x) #s(literal 2 binary64)) (/.f64 (/.f64 #s(literal 1/2 binary64) (cosh.f64 x)) (cosh.f64 x)) (/.f64 #s(literal 0 binary64) (neg.f64 (neg.f64 (cosh.f64 x)))))
(fma.f64 (*.f64 (cosh.f64 x) #s(literal 2 binary64)) (/.f64 (/.f64 #s(literal 1/2 binary64) (cosh.f64 x)) (cosh.f64 x)) (/.f64 #s(literal 0 binary64) (cosh.f64 x)))
(fma.f64 #s(literal 2 binary64) (*.f64 (cosh.f64 x) (/.f64 (/.f64 #s(literal 1/2 binary64) (cosh.f64 x)) (cosh.f64 x))) (/.f64 #s(literal 0 binary64) (neg.f64 (neg.f64 (cosh.f64 x)))))
(fma.f64 #s(literal 2 binary64) (*.f64 (cosh.f64 x) (/.f64 (/.f64 #s(literal 1/2 binary64) (cosh.f64 x)) (cosh.f64 x))) (/.f64 #s(literal 0 binary64) (cosh.f64 x)))
(fma.f64 #s(literal 2 binary64) (/.f64 (cosh.f64 x) (.f64 (.f64 (cosh.f64 x) (cosh.f64 x)) #s(literal 2 binary64))) (/.f64 #s(literal 0 binary64) (neg.f64 (neg.f64 (cosh.f64 x)))))
(fma.f64 #s(literal 2 binary64) (/.f64 (cosh.f64 x) (.f64 (.f64 (cosh.f64 x) (cosh.f64 x)) #s(literal 2 binary64))) (/.f64 #s(literal 0 binary64) (cosh.f64 x)))
(fma.f64 #s(literal 2 binary64) (/.f64 #s(literal 1/2 binary64) (cosh.f64 x)) (/.f64 #s(literal 0 binary64) (neg.f64 (neg.f64 (cosh.f64 x)))))
(fma.f64 #s(literal 2 binary64) (/.f64 #s(literal 1/2 binary64) (cosh.f64 x)) (/.f64 #s(literal 0 binary64) (cosh.f64 x)))
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (cosh.f64 x)) (/.f64 #s(literal 1/2 binary64) (cosh.f64 x)))
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (cosh.f64 x)) (/.f64 #s(literal 0 binary64) (neg.f64 (neg.f64 (cosh.f64 x)))))
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (cosh.f64 x)) (/.f64 #s(literal 0 binary64) (cosh.f64 x)))
(-.f64 (/.f64 (.f64 (cosh.f64 x) (cosh.f64 x)) (neg.f64 (neg.f64 (cosh.f64 x)))) (/.f64 (.f64 (sinh.f64 x) (sinh.f64 x)) (neg.f64 (neg.f64 (cosh.f64 x)))))
(-.f64 (/.f64 (.f64 (cosh.f64 x) (cosh.f64 x)) (cosh.f64 x)) (/.f64 (.f64 (sinh.f64 x) (sinh.f64 x)) (cosh.f64 x)))
(-.f64 (/.f64 (+.f64 (exp.f64 x) (cosh.f64 x)) (neg.f64 (.f64 (.f64 #s(literal -2 binary64) (cosh.f64 x)) (cosh.f64 x)))) (/.f64 (sinh.f64 x) (neg.f64 (.f64 (.f64 #s(literal -2 binary64) (cosh.f64 x)) (cosh.f64 x)))))
(-.f64 (/.f64 (cosh.f64 x) (neg.f64 (.f64 (.f64 #s(literal -2 binary64) (cosh.f64 x)) (cosh.f64 x)))) (/.f64 (-.f64 (sinh.f64 x) (exp.f64 x)) (neg.f64 (.f64 (.f64 #s(literal -2 binary64) (cosh.f64 x)) (cosh.f64 x)))))
(-.f64 (/.f64 (exp.f64 (neg.f64 x)) (neg.f64 (.f64 (.f64 #s(literal -2 binary64) (cosh.f64 x)) (cosh.f64 x)))) (/.f64 (neg.f64 (exp.f64 x)) (neg.f64 (.f64 (.f64 #s(literal -2 binary64) (cosh.f64 x)) (cosh.f64 x)))))
(-.f64 (/.f64 (exp.f64 x) (neg.f64 (.f64 (.f64 #s(literal -2 binary64) (cosh.f64 x)) (cosh.f64 x)))) (/.f64 (neg.f64 (exp.f64 (neg.f64 x))) (neg.f64 (.f64 (.f64 #s(literal -2 binary64) (cosh.f64 x)) (cosh.f64 x)))))
(-.f64 (/.f64 (+.f64 (exp.f64 x) (cosh.f64 x)) (.f64 (.f64 (cosh.f64 x) (cosh.f64 x)) #s(literal 2 binary64))) (/.f64 (sinh.f64 x) (.f64 (.f64 (cosh.f64 x) (cosh.f64 x)) #s(literal 2 binary64))))
(-.f64 (/.f64 (/.f64 (exp.f64 x) (.f64 (cosh.f64 x) #s(literal 2 binary64))) (neg.f64 (neg.f64 (cosh.f64 x)))) (/.f64 (/.f64 (exp.f64 (neg.f64 x)) (.f64 #s(literal -2 binary64) (cosh.f64 x))) (neg.f64 (neg.f64 (cosh.f64 x)))))
(-.f64 (/.f64 (/.f64 (exp.f64 x) (.f64 (cosh.f64 x) #s(literal 2 binary64))) (cosh.f64 x)) (/.f64 (/.f64 (exp.f64 (neg.f64 x)) (.f64 #s(literal -2 binary64) (cosh.f64 x))) (cosh.f64 x)))
(-.f64 (/.f64 (cosh.f64 x) (.f64 (.f64 (cosh.f64 x) (cosh.f64 x)) #s(literal 2 binary64))) (/.f64 (-.f64 (sinh.f64 x) (exp.f64 x)) (.f64 (.f64 (cosh.f64 x) (cosh.f64 x)) #s(literal 2 binary64))))
(-.f64 (/.f64 (exp.f64 (neg.f64 x)) (.f64 (.f64 (cosh.f64 x) (cosh.f64 x)) #s(literal 2 binary64))) (/.f64 (neg.f64 (exp.f64 x)) (.f64 (.f64 (cosh.f64 x) (cosh.f64 x)) #s(literal 2 binary64))))
(-.f64 (/.f64 (exp.f64 (neg.f64 x)) (.f64 (.f64 (cosh.f64 x) (cosh.f64 x)) #s(literal 2 binary64))) (/.f64 (exp.f64 x) (.f64 (.f64 #s(literal -2 binary64) (cosh.f64 x)) (cosh.f64 x))))
(-.f64 (/.f64 (exp.f64 x) (.f64 (.f64 (cosh.f64 x) (cosh.f64 x)) #s(literal 2 binary64))) (/.f64 (exp.f64 (neg.f64 x)) (.f64 (.f64 #s(literal -2 binary64) (cosh.f64 x)) (cosh.f64 x))))
(-.f64 (/.f64 #s(literal 1/2 binary64) (cosh.f64 x)) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal -2 binary64) (cosh.f64 x))))
(fabs.f64 (/.f64 #s(literal 2 binary64) (*.f64 #s(literal -2 binary64) (cosh.f64 x))))
(fabs.f64 (/.f64 #s(literal 1 binary64) (cosh.f64 x)))
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(fma.f64 #s(literal 2 binary64) (fabs.f64 (*.f64 (cosh.f64 x) #s(literal 1/2 binary64))) (-.f64 (sinh.f64 x) (neg.f64 (exp.f64 (neg.f64 x)))))
(fma.f64 #s(literal 2 binary64) (fabs.f64 (*.f64 (cosh.f64 x) #s(literal 1/2 binary64))) (cosh.f64 x))
(fma.f64 #s(literal 2 binary64) (fabs.f64 (/.f64 (cosh.f64 x) #s(literal 2 binary64))) (+.f64 (sinh.f64 (neg.f64 x)) (exp.f64 x)))
(fma.f64 #s(literal 2 binary64) (fabs.f64 (/.f64 (cosh.f64 x) #s(literal 2 binary64))) (+.f64 (sinh.f64 x) (exp.f64 (neg.f64 x))))
(fma.f64 #s(literal 2 binary64) (fabs.f64 (/.f64 (cosh.f64 x) #s(literal 2 binary64))) (-.f64 (sinh.f64 x) (neg.f64 (exp.f64 (neg.f64 x)))))
(fma.f64 #s(literal 2 binary64) (fabs.f64 (/.f64 (cosh.f64 x) #s(literal 2 binary64))) (cosh.f64 x))
(fma.f64 #s(literal 2 binary64) (*.f64 (cosh.f64 x) #s(literal 1/2 binary64)) (+.f64 (sinh.f64 (neg.f64 x)) (exp.f64 x)))
(fma.f64 #s(literal 2 binary64) (*.f64 (cosh.f64 x) #s(literal 1/2 binary64)) (+.f64 (sinh.f64 x) (exp.f64 (neg.f64 x))))
(fma.f64 #s(literal 2 binary64) (*.f64 (cosh.f64 x) #s(literal 1/2 binary64)) (-.f64 (sinh.f64 x) (neg.f64 (exp.f64 (neg.f64 x)))))
(fma.f64 #s(literal 2 binary64) (*.f64 (cosh.f64 x) #s(literal 1/2 binary64)) (cosh.f64 x))
(fma.f64 #s(literal 2 binary64) (/.f64 (cosh.f64 x) #s(literal 2 binary64)) (+.f64 (sinh.f64 (neg.f64 x)) (exp.f64 x)))
(fma.f64 #s(literal 2 binary64) (/.f64 (cosh.f64 x) #s(literal 2 binary64)) (+.f64 (sinh.f64 x) (exp.f64 (neg.f64 x))))
(fma.f64 #s(literal 2 binary64) (/.f64 (cosh.f64 x) #s(literal 2 binary64)) (-.f64 (sinh.f64 x) (neg.f64 (exp.f64 (neg.f64 x)))))
(fma.f64 #s(literal 2 binary64) (/.f64 (cosh.f64 x) #s(literal 2 binary64)) (cosh.f64 x))
(fma.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 x)) (exp.f64 x))
(fma.f64 #s(literal 1 binary64) (cosh.f64 x) (+.f64 (sinh.f64 (neg.f64 x)) (exp.f64 x)))
(fma.f64 #s(literal 1 binary64) (cosh.f64 x) (+.f64 (sinh.f64 x) (exp.f64 (neg.f64 x))))
(fma.f64 #s(literal 1 binary64) (cosh.f64 x) (-.f64 (sinh.f64 x) (neg.f64 (exp.f64 (neg.f64 x)))))
(fma.f64 #s(literal 1 binary64) (cosh.f64 x) (cosh.f64 x))
(sqrt.f64 (.f64 (.f64 (cosh.f64 x) (cosh.f64 x)) #s(literal 4 binary64)))
(-.f64 (+.f64 (exp.f64 x) (cosh.f64 x)) (sinh.f64 x))
(-.f64 (exp.f64 (neg.f64 x)) (neg.f64 (exp.f64 x)))
(-.f64 (cosh.f64 x) (-.f64 (sinh.f64 x) (exp.f64 x)))
(-.f64 (exp.f64 x) (neg.f64 (exp.f64 (neg.f64 x))))
(fabs.f64 (-.f64 (sinh.f64 x) (+.f64 (exp.f64 x) (cosh.f64 x))))
(fabs.f64 (-.f64 (-.f64 (sinh.f64 x) (exp.f64 x)) (cosh.f64 x)))
(fabs.f64 (.f64 (.f64 #s(literal -2 binary64) (cosh.f64 x)) #s(literal -1 binary64)))
(fabs.f64 (.f64 (.f64 #s(literal -2 binary64) (cosh.f64 x)) #s(literal 1 binary64)))
(fabs.f64 (.f64 (.f64 (cosh.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64)))
(fabs.f64 (*.f64 #s(literal -2 binary64) (cosh.f64 x)))
(fabs.f64 (*.f64 (cosh.f64 x) #s(literal 2 binary64)))
(+.f64 (+.f64 (exp.f64 (neg.f64 x)) (cosh.f64 x)) (sinh.f64 x))
(+.f64 (+.f64 (exp.f64 x) (cosh.f64 x)) (sinh.f64 (neg.f64 x)))
(+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x))
(+.f64 (cosh.f64 x) (+.f64 (sinh.f64 (neg.f64 x)) (exp.f64 x)))
(+.f64 (cosh.f64 x) (+.f64 (sinh.f64 x) (exp.f64 (neg.f64 x))))
(+.f64 (cosh.f64 x) (-.f64 (sinh.f64 x) (neg.f64 (exp.f64 (neg.f64 x)))))
(+.f64 (cosh.f64 x) (cosh.f64 x))
(+.f64 (exp.f64 x) (exp.f64 (neg.f64 (neg.f64 (neg.f64 x)))))
(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
(.f64 (.f64 (cosh.f64 x) (cosh.f64 x)) #s(literal 2 binary64))
(.f64 (.f64 (*.f64 (cosh.f64 x) (cosh.f64 x)) #s(literal 4 binary64)) #s(literal 1/2 binary64))
(.f64 #s(literal 1/2 binary64) (.f64 (*.f64 (cosh.f64 x) (cosh.f64 x)) #s(literal 4 binary64)))
(.f64 (cosh.f64 x) (.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) (cosh.f64 x)))
(/.f64 (neg.f64 (.f64 (.f64 (cosh.f64 x) (cosh.f64 x)) #s(literal 4 binary64))) #s(literal -2 binary64))
(/.f64 (.f64 (.f64 (cosh.f64 x) (cosh.f64 x)) #s(literal 4 binary64)) #s(literal 2 binary64))
(neg.f64 (.f64 #s(literal -1/2 binary64) (.f64 (*.f64 (cosh.f64 x) (cosh.f64 x)) #s(literal 4 binary64))))
(neg.f64 (.f64 (.f64 (*.f64 (cosh.f64 x) (cosh.f64 x)) #s(literal 4 binary64)) #s(literal -1/2 binary64)))
(fma.f64 (-.f64 (exp.f64 (+.f64 x x)) #s(literal -2 binary64)) #s(literal 1/2 binary64) (.f64 (exp.f64 (.f64 (neg.f64 x) #s(literal 2 binary64))) #s(literal 1/2 binary64)))
(fma.f64 (exp.f64 (neg.f64 x)) (cosh.f64 x) (*.f64 (exp.f64 x) (cosh.f64 x)))
(fma.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 (+.f64 x x)) #s(literal -2 binary64)) (.f64 #s(literal 1/2 binary64) (exp.f64 (.f64 (neg.f64 x) #s(literal 2 binary64)))))
(fma.f64 (cosh.f64 x) (exp.f64 (neg.f64 x)) (*.f64 (cosh.f64 x) (exp.f64 x)))
(fma.f64 (cosh.f64 x) (exp.f64 x) (*.f64 (cosh.f64 x) (exp.f64 (neg.f64 x))))
(fma.f64 (exp.f64 x) (cosh.f64 x) (*.f64 (exp.f64 (neg.f64 x)) (cosh.f64 x)))
(-.f64 (/.f64 (-.f64 (exp.f64 (+.f64 x x)) #s(literal -2 binary64)) #s(literal 2 binary64)) (/.f64 (neg.f64 (exp.f64 (*.f64 (neg.f64 x) #s(literal 2 binary64)))) #s(literal 2 binary64)))
(fabs.f64 (/.f64 (neg.f64 (.f64 (.f64 (cosh.f64 x) (cosh.f64 x)) #s(literal 4 binary64))) #s(literal 2 binary64)))
(fabs.f64 (.f64 (.f64 (cosh.f64 x) (cosh.f64 x)) #s(literal 2 binary64)))
(+.f64 (/.f64 (.f64 (.f64 (cosh.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x))) #s(literal 2 binary64)) (/.f64 (.f64 (.f64 (cosh.f64 x) #s(literal 2 binary64)) (exp.f64 x)) #s(literal 2 binary64)))
(+.f64 (/.f64 (.f64 (.f64 (cosh.f64 x) #s(literal 2 binary64)) (exp.f64 x)) #s(literal 2 binary64)) (/.f64 (.f64 (.f64 (cosh.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x))) #s(literal 2 binary64)))
(+.f64 (/.f64 (.f64 (exp.f64 (neg.f64 x)) (.f64 (cosh.f64 x) #s(literal 2 binary64))) #s(literal 2 binary64)) (/.f64 (.f64 (exp.f64 x) (.f64 (cosh.f64 x) #s(literal 2 binary64))) #s(literal 2 binary64)))
(+.f64 (/.f64 (.f64 (exp.f64 x) (.f64 (cosh.f64 x) #s(literal 2 binary64))) #s(literal 2 binary64)) (/.f64 (.f64 (exp.f64 (neg.f64 x)) (.f64 (cosh.f64 x) #s(literal 2 binary64))) #s(literal 2 binary64)))
(+.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (neg.f64 x) #s(literal 2 binary64))) #s(literal 2 binary64)) #s(literal 2 binary64)) (/.f64 (exp.f64 (+.f64 x x)) #s(literal 2 binary64)))
(+.f64 (/.f64 (-.f64 (exp.f64 (+.f64 x x)) (.f64 #s(literal 2 binary64) (.f64 (exp.f64 x) (neg.f64 (exp.f64 (neg.f64 x)))))) #s(literal 2 binary64)) (/.f64 (exp.f64 (*.f64 (neg.f64 x) #s(literal 2 binary64))) #s(literal 2 binary64)))
(+.f64 (/.f64 (exp.f64 (*.f64 (neg.f64 x) #s(literal 2 binary64))) #s(literal 2 binary64)) (/.f64 (-.f64 (exp.f64 (+.f64 x x)) #s(literal -2 binary64)) #s(literal 2 binary64)))
(+.f64 (/.f64 (-.f64 (exp.f64 (+.f64 x x)) #s(literal -2 binary64)) #s(literal 2 binary64)) (/.f64 (exp.f64 (*.f64 (neg.f64 x) #s(literal 2 binary64))) #s(literal 2 binary64)))
(+.f64 (/.f64 (exp.f64 (+.f64 x x)) #s(literal 2 binary64)) (/.f64 (+.f64 #s(literal 2 binary64) (exp.f64 (*.f64 (neg.f64 x) #s(literal 2 binary64)))) #s(literal 2 binary64)))
(+.f64 (.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 (+.f64 x x)) #s(literal -2 binary64))) (.f64 #s(literal 1/2 binary64) (exp.f64 (*.f64 (neg.f64 x) #s(literal 2 binary64)))))
(+.f64 (.f64 (cosh.f64 x) (exp.f64 (neg.f64 x))) (.f64 (cosh.f64 x) (exp.f64 x)))
(+.f64 (.f64 (cosh.f64 x) (exp.f64 x)) (.f64 (cosh.f64 x) (exp.f64 (neg.f64 x))))
(+.f64 (.f64 (-.f64 (exp.f64 (+.f64 x x)) #s(literal -2 binary64)) #s(literal 1/2 binary64)) (.f64 (exp.f64 (*.f64 (neg.f64 x) #s(literal 2 binary64))) #s(literal 1/2 binary64)))
(+.f64 (.f64 (exp.f64 (neg.f64 x)) (cosh.f64 x)) (.f64 (exp.f64 x) (cosh.f64 x)))
(+.f64 (.f64 (exp.f64 x) (cosh.f64 x)) (.f64 (exp.f64 (neg.f64 x)) (cosh.f64 x)))
#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)))
#s(approx (/ 2 (+ (exp x) (exp (neg x)))) (fma.f64 (fma.f64 #s(literal 5/24 binary64) (.f64 x x) #s(literal -1/2 binary64)) (.f64 x x) #s(literal 1 binary64)))
#s(approx (/ 2 (+ (exp x) (exp (neg x)))) (fma.f64 (.f64 (fma.f64 (fma.f64 #s(literal -61/720 binary64) (.f64 x x) #s(literal 5/24 binary64)) (*.f64 x x) #s(literal -1/2 binary64)) x) x #s(literal 1 binary64)))
#s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)))
#s(approx (cosh x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 x x) #s(literal 1/2 binary64)) (.f64 x x) #s(literal 1 binary64)))
#s(approx (cosh x) (fma.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x) x #s(literal 1 binary64)))
#s(approx x x)
#s(approx (* x x) (*.f64 x x))
#s(approx (+ (exp x) (exp (neg x))) #s(literal 2 binary64))
#s(approx (+ (exp x) (exp (neg x))) (fma.f64 x x #s(literal 2 binary64)))
#s(approx (+ (exp x) (exp (neg x))) (fma.f64 (fma.f64 #s(literal 1/12 binary64) (.f64 x x) #s(literal 1 binary64)) (.f64 x x) #s(literal 2 binary64)))
#s(approx (+ (exp x) (exp (neg x))) (fma.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/360 binary64) (.f64 x x) #s(literal 1/12 binary64)) (*.f64 x x) #s(literal 1 binary64)) x) x #s(literal 2 binary64)))
#s(approx (* (* (cosh x) 2) (cosh x)) (fma.f64 x (+.f64 x x) #s(literal 2 binary64)))
#s(approx (* (* (cosh x) 2) (cosh x)) (fma.f64 (fma.f64 #s(literal 2/3 binary64) (.f64 x x) #s(literal 2 binary64)) (.f64 x x) #s(literal 2 binary64)))
#s(approx (* (* (cosh x) 2) (cosh x)) (fma.f64 (.f64 (fma.f64 (fma.f64 #s(literal 4/45 binary64) (.f64 x x) #s(literal 2/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x) x #s(literal 2 binary64)))
#s(approx (/ 2 (+ (exp x) (exp (neg x)))) (/.f64 #s(literal 1 binary64) (cosh.f64 x)))
#s(approx (cosh x) (cosh.f64 x))
#s(approx (/ 2 (+ (exp x) (exp (neg x)))) (/.f64 #s(literal 1 binary64) (cosh.f64 x)))
#s(approx (+ (* (* x x) -1/2) 1) (.f64 (.f64 x x) #s(literal -1/2 binary64)))
#s(approx (+ (* (* x x) -1/2) 1) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64)))
#s(approx (+ (exp x) (exp (neg x))) (*.f64 (cosh.f64 x) #s(literal 2 binary64)))
#s(approx (+ (* x x) 2) (fma.f64 x x #s(literal 2 binary64)))
#s(approx (+ (exp x) (exp (neg x))) (*.f64 (cosh.f64 x) #s(literal 2 binary64)))
#s(approx (* (* (cosh x) 2) (cosh x)) (.f64 (.f64 (cosh.f64 x) (cosh.f64 x)) #s(literal 2 binary64)))
#s(approx (/ 2 (+ (exp x) (exp (neg x)))) (/.f64 #s(literal 1 binary64) (cosh.f64 x)))
#s(approx (+ (exp x) (exp (neg x))) (*.f64 (cosh.f64 x) #s(literal 2 binary64)))

eval52.0ms (3%)

Memory: 2.6MiB live, 93.7MiB allocated; 8ms collecting garbage
Compiler: Compiled 5 870 to 1 618 computations (72.4% saved)

prune9.0ms (0.5%)

Memory

24.8MiB live, 24.8MiB allocated; 0ms collecting garbage

Pruning

5 alts after pruning (1 fresh and 4 done)

	Pruned	Kept	Total
New	541	1	542
Fresh	0	0	0
Picked	1	4	5
Done	0	0	0
Total	542	5	547

Accuracy

100.0%

Counts

547 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	54.3%	(/.f64 (.f64 (cosh.f64 x) #s(literal 2 binary64)) (.f64 (*.f64 (cosh.f64 x) (cosh.f64 x)) #s(literal 2 binary64)))
✓	77.5%	(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 x x #s(literal 2 binary64))))
✓	100.0%	(/.f64 #s(literal 1 binary64) (cosh.f64 x))
✓	54.5%	#s(approx (/ 2 (+ (exp x) (exp (neg x)))) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64)))
✓	54.9%	#s(approx (/ 2 (+ (exp x) (exp (neg x)))) #s(literal 1 binary64))

Compiler

Compiled 43 to 41 computations (4.7% saved)

series4.0ms (0.2%)

Memory

-40.8MiB live, 6.3MiB allocated; 1ms collecting garbage

Counts

7 → 23

Calls

Call 1

Inputs
(/.f64 (.f64 (cosh.f64 x) #s(literal 2 binary64)) (.f64 (*.f64 (cosh.f64 x) (cosh.f64 x)) #s(literal 2 binary64)))
(*.f64 (cosh.f64 x) #s(literal 2 binary64))
(cosh.f64 x)
x
#s(literal 2 binary64)
(.f64 (.f64 (cosh.f64 x) (cosh.f64 x)) #s(literal 2 binary64))
(*.f64 (cosh.f64 x) (cosh.f64 x))

Outputs
#s(approx (/ (* (cosh x) 2) (* (* (cosh x) (cosh x)) 2)) #s(hole binary64 1))
#s(approx (/ (* (cosh x) 2) (* (* (cosh x) (cosh x)) 2)) #s(hole binary64 (+ 1 (* -1/2 (pow x 2)))))
#s(approx (/ (* (cosh x) 2) (* (* (cosh x) (cosh x)) 2)) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 5/24 (pow x 2)) 1/2)))))
#s(approx (/ (* (cosh x) 2) (* (* (cosh x) (cosh x)) 2)) #s(hole binary64 (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 5/24 (* -61/720 (pow x 2)))) 1/2)))))
#s(approx (* (cosh x) 2) #s(hole binary64 2))
#s(approx (* (cosh x) 2) #s(hole binary64 (+ 2 (pow x 2))))
#s(approx (* (cosh x) 2) #s(hole binary64 (+ 2 (* (pow x 2) (+ 1 (* 1/12 (pow x 2)))))))
#s(approx (* (cosh x) 2) #s(hole binary64 (+ 2 (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2)))))))))
#s(approx (cosh x) #s(hole binary64 (+ 1 (* 1/2 (pow x 2)))))
#s(approx (cosh x) #s(hole binary64 (+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2)))))))
#s(approx (cosh x) #s(hole binary64 (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))))
#s(approx x #s(hole binary64 x))
#s(approx (* (* (cosh x) (cosh x)) 2) #s(hole binary64 (+ 2 (* 2 (pow x 2)))))
#s(approx (* (* (cosh x) (cosh x)) 2) #s(hole binary64 (+ 2 (* (pow x 2) (+ 2 (* 2/3 (pow x 2)))))))
#s(approx (* (* (cosh x) (cosh x)) 2) #s(hole binary64 (+ 2 (* (pow x 2) (+ 2 (* (pow x 2) (+ 2/3 (* 4/45 (pow x 2)))))))))
#s(approx (* (cosh x) (cosh x)) #s(hole binary64 (+ 1 (pow x 2))))
#s(approx (* (cosh x) (cosh x)) #s(hole binary64 (+ 1 (* (pow x 2) (+ 1 (* 1/3 (pow x 2)))))))
#s(approx (* (cosh x) (cosh x)) #s(hole binary64 (+ 1 (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/3 (* 2/45 (pow x 2)))))))))
#s(approx (/ (* (cosh x) 2) (* (* (cosh x) (cosh x)) 2)) #s(hole binary64 (/ 2 (+ (exp x) (/ 1 (exp x))))))
#s(approx (* (cosh x) 2) #s(hole binary64 (+ (exp x) (/ 1 (exp x)))))
#s(approx (cosh x) #s(hole binary64 (* 1/2 (+ (exp x) (/ 1 (exp x))))))
#s(approx (* (* (cosh x) (cosh x)) 2) #s(hole binary64 (* 1/2 (pow (+ (exp x) (/ 1 (exp x))) 2))))
#s(approx (* (cosh x) (cosh x)) #s(hole binary64 (* 1/4 (pow (+ (exp x) (/ 1 (exp x))) 2))))

Calls

3 calls:

Time	Variable		Point	Expression
2.0ms	x	@	-inf	((/ (* (cosh x) 2) (* (* (cosh x) (cosh x)) 2)) (* (cosh x) 2) (cosh x) x 2 (* (* (cosh x) (cosh x)) 2) (* (cosh x) (cosh x)))
1.0ms	x	@	inf	((/ (* (cosh x) 2) (* (* (cosh x) (cosh x)) 2)) (* (cosh x) 2) (cosh x) x 2 (* (* (cosh x) (cosh x)) 2) (* (cosh x) (cosh x)))
0.0ms	x	@	0	((/ (* (cosh x) 2) (* (* (cosh x) (cosh x)) 2)) (* (cosh x) 2) (cosh x) x 2 (* (* (cosh x) (cosh x)) 2) (* (cosh x) (cosh x)))

Time

Variable

Point

Expression

2.0ms

-inf

((/ (* (cosh x) 2) (* (* (cosh x) (cosh x)) 2)) (* (cosh x) 2) (cosh x) x 2 (* (* (cosh x) (cosh x)) 2) (* (cosh x) (cosh x)))

1.0ms

inf

((/ (* (cosh x) 2) (* (* (cosh x) (cosh x)) 2)) (* (cosh x) 2) (cosh x) x 2 (* (* (cosh x) (cosh x)) 2) (* (cosh x) (cosh x)))

0.0ms

((/ (* (cosh x) 2) (* (* (cosh x) (cosh x)) 2)) (* (cosh x) 2) (cosh x) x 2 (* (* (cosh x) (cosh x)) 2) (* (cosh x) (cosh x)))

rewrite187.0ms (10.7%)

Memory

24.7MiB live, 213.7MiB allocated; 14ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	116	433
0	126	400
1	794	372
2	3688	362
0	8391	332
1	21380	332

Stop Event

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

Counts

30 → 734

Calls

Call 1

Inputs
(/.f64 (.f64 (cosh.f64 x) #s(literal 2 binary64)) (.f64 (*.f64 (cosh.f64 x) (cosh.f64 x)) #s(literal 2 binary64)))
(*.f64 (cosh.f64 x) #s(literal 2 binary64))
(cosh.f64 x)
x
#s(literal 2 binary64)
(.f64 (.f64 (cosh.f64 x) (cosh.f64 x)) #s(literal 2 binary64))
(*.f64 (cosh.f64 x) (cosh.f64 x))
#s(approx (/ (* (cosh x) 2) (* (* (cosh x) (cosh x)) 2)) #s(hole binary64 1))
#s(approx (/ (* (cosh x) 2) (* (* (cosh x) (cosh x)) 2)) #s(hole binary64 (+ 1 (* -1/2 (pow x 2)))))
#s(approx (/ (* (cosh x) 2) (* (* (cosh x) (cosh x)) 2)) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 5/24 (pow x 2)) 1/2)))))
#s(approx (/ (* (cosh x) 2) (* (* (cosh x) (cosh x)) 2)) #s(hole binary64 (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 5/24 (* -61/720 (pow x 2)))) 1/2)))))
#s(approx (* (cosh x) 2) #s(hole binary64 2))
#s(approx (* (cosh x) 2) #s(hole binary64 (+ 2 (pow x 2))))
#s(approx (* (cosh x) 2) #s(hole binary64 (+ 2 (* (pow x 2) (+ 1 (* 1/12 (pow x 2)))))))
#s(approx (* (cosh x) 2) #s(hole binary64 (+ 2 (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2)))))))))
#s(approx (cosh x) #s(hole binary64 (+ 1 (* 1/2 (pow x 2)))))
#s(approx (cosh x) #s(hole binary64 (+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2)))))))
#s(approx (cosh x) #s(hole binary64 (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))))
#s(approx x #s(hole binary64 x))
#s(approx (* (* (cosh x) (cosh x)) 2) #s(hole binary64 (+ 2 (* 2 (pow x 2)))))
#s(approx (* (* (cosh x) (cosh x)) 2) #s(hole binary64 (+ 2 (* (pow x 2) (+ 2 (* 2/3 (pow x 2)))))))
#s(approx (* (* (cosh x) (cosh x)) 2) #s(hole binary64 (+ 2 (* (pow x 2) (+ 2 (* (pow x 2) (+ 2/3 (* 4/45 (pow x 2)))))))))
#s(approx (* (cosh x) (cosh x)) #s(hole binary64 (+ 1 (pow x 2))))
#s(approx (* (cosh x) (cosh x)) #s(hole binary64 (+ 1 (* (pow x 2) (+ 1 (* 1/3 (pow x 2)))))))
#s(approx (* (cosh x) (cosh x)) #s(hole binary64 (+ 1 (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/3 (* 2/45 (pow x 2)))))))))
#s(approx (/ (* (cosh x) 2) (* (* (cosh x) (cosh x)) 2)) #s(hole binary64 (/ 2 (+ (exp x) (/ 1 (exp x))))))
#s(approx (* (cosh x) 2) #s(hole binary64 (+ (exp x) (/ 1 (exp x)))))
#s(approx (cosh x) #s(hole binary64 (* 1/2 (+ (exp x) (/ 1 (exp x))))))
#s(approx (* (* (cosh x) (cosh x)) 2) #s(hole binary64 (* 1/2 (pow (+ (exp x) (/ 1 (exp x))) 2))))
#s(approx (* (cosh x) (cosh x)) #s(hole binary64 (* 1/4 (pow (+ (exp x) (/ 1 (exp x))) 2))))

Outputs
(.f64 (/.f64 (/.f64 (cosh.f64 x) (.f64 (cosh.f64 x) (cosh.f64 x))) (*.f64 #s(literal 2 binary64) (exp.f64 x))) (/.f64 #s(literal 2 binary64) (exp.f64 (neg.f64 x))))
(*.f64 (/.f64 (cosh.f64 x) (neg.f64 (neg.f64 (cosh.f64 x)))) (/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (cosh.f64 x)))))
(.f64 (/.f64 (/.f64 (cosh.f64 x) (neg.f64 (cosh.f64 x))) (.f64 #s(literal 2 binary64) (exp.f64 x))) (/.f64 (/.f64 #s(literal -2 binary64) (cosh.f64 x)) (exp.f64 (neg.f64 x))))
(.f64 (/.f64 (/.f64 #s(literal -2 binary64) (cosh.f64 x)) (.f64 #s(literal 2 binary64) (exp.f64 x))) (/.f64 (/.f64 (cosh.f64 x) (neg.f64 (cosh.f64 x))) (exp.f64 (neg.f64 x))))
(*.f64 (/.f64 (/.f64 (cosh.f64 x) (neg.f64 (cosh.f64 x))) #s(literal 2 binary64)) (/.f64 (/.f64 #s(literal -2 binary64) (cosh.f64 x)) #s(literal 1 binary64)))
(*.f64 (/.f64 (/.f64 #s(literal -2 binary64) (cosh.f64 x)) #s(literal 1 binary64)) (/.f64 (/.f64 (cosh.f64 x) (neg.f64 (cosh.f64 x))) #s(literal 2 binary64)))
(*.f64 (/.f64 (/.f64 (cosh.f64 x) (neg.f64 (cosh.f64 x))) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal -2 binary64) (cosh.f64 x)) #s(literal 2 binary64)))
(*.f64 (/.f64 (/.f64 #s(literal -2 binary64) (cosh.f64 x)) #s(literal 2 binary64)) (/.f64 (/.f64 (cosh.f64 x) (neg.f64 (cosh.f64 x))) #s(literal 1 binary64)))
(.f64 (/.f64 (/.f64 (cosh.f64 x) (cosh.f64 x)) (.f64 #s(literal 2 binary64) (exp.f64 x))) (/.f64 (/.f64 #s(literal 2 binary64) (cosh.f64 x)) (exp.f64 (neg.f64 x))))
(.f64 (/.f64 (/.f64 #s(literal 2 binary64) (cosh.f64 x)) (.f64 #s(literal 2 binary64) (exp.f64 x))) (/.f64 (/.f64 (cosh.f64 x) (cosh.f64 x)) (exp.f64 (neg.f64 x))))
(*.f64 (/.f64 (/.f64 (cosh.f64 x) (cosh.f64 x)) #s(literal 2 binary64)) (/.f64 (/.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 1 binary64)))
(*.f64 (/.f64 (/.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 1 binary64)) (/.f64 (/.f64 (cosh.f64 x) (cosh.f64 x)) #s(literal 2 binary64)))
(*.f64 (/.f64 (/.f64 (cosh.f64 x) (cosh.f64 x)) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 2 binary64)))
(*.f64 (/.f64 (/.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 2 binary64)) (/.f64 (/.f64 (cosh.f64 x) (cosh.f64 x)) #s(literal 1 binary64)))
(.f64 (/.f64 (/.f64 (cosh.f64 x) (.f64 (cosh.f64 x) (cosh.f64 x))) #s(literal 2 binary64)) #s(literal 2 binary64))
(.f64 (/.f64 (/.f64 (cosh.f64 x) (.f64 (cosh.f64 x) (cosh.f64 x))) #s(literal 1 binary64)) #s(literal 1 binary64))
(.f64 (/.f64 (.f64 (cosh.f64 x) #s(literal 2 binary64)) (neg.f64 (neg.f64 (cosh.f64 x)))) (/.f64 #s(literal 1/2 binary64) (neg.f64 (neg.f64 (cosh.f64 x)))))
(.f64 (/.f64 #s(literal 1/2 binary64) (neg.f64 (neg.f64 (cosh.f64 x)))) (/.f64 (.f64 (cosh.f64 x) #s(literal 2 binary64)) (neg.f64 (neg.f64 (cosh.f64 x)))))
(.f64 (/.f64 (cosh.f64 x) (neg.f64 (.f64 (cosh.f64 x) (cosh.f64 x)))) #s(literal -1 binary64))
(.f64 (/.f64 (.f64 (cosh.f64 x) #s(literal 2 binary64)) (*.f64 #s(literal -2 binary64) (cosh.f64 x))) (/.f64 #s(literal 1 binary64) (neg.f64 (cosh.f64 x))))
(.f64 (/.f64 #s(literal 1/2 binary64) (neg.f64 (cosh.f64 x))) (/.f64 (.f64 #s(literal -2 binary64) (cosh.f64 x)) (cosh.f64 x)))
(.f64 (/.f64 (.f64 (cosh.f64 x) #s(literal 2 binary64)) (pow.f64 (*.f64 (cosh.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64))) #s(literal 2 binary64))
(.f64 (/.f64 #s(literal 2 binary64) (neg.f64 (.f64 (cosh.f64 x) (cosh.f64 x)))) (/.f64 (neg.f64 (cosh.f64 x)) #s(literal 2 binary64)))
(.f64 (/.f64 (.f64 (cosh.f64 x) #s(literal 2 binary64)) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (cosh.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64))))
(.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 (cosh.f64 x) (.f64 #s(literal -2 binary64) (cosh.f64 x))) (/.f64 #s(literal -2 binary64) (cosh.f64 x)))
(.f64 (/.f64 (cosh.f64 x) (pow.f64 (.f64 (cosh.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64))) #s(literal 4 binary64))
(.f64 (/.f64 (cosh.f64 x) #s(literal 1/2 binary64)) (/.f64 #s(literal 2 binary64) (pow.f64 (.f64 (cosh.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64))))
(.f64 (/.f64 #s(literal -2 binary64) (.f64 (cosh.f64 x) (cosh.f64 x))) (/.f64 (cosh.f64 x) #s(literal -2 binary64)))
(.f64 (/.f64 #s(literal 2 binary64) (pow.f64 (.f64 (cosh.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64))) (/.f64 (cosh.f64 x) #s(literal 1/2 binary64)))
(.f64 (/.f64 (neg.f64 (cosh.f64 x)) (cosh.f64 x)) (.f64 (/.f64 #s(literal -2 binary64) (cosh.f64 x)) #s(literal 1/2 binary64)))
(.f64 (/.f64 (neg.f64 (cosh.f64 x)) (.f64 (cosh.f64 x) (cosh.f64 x))) #s(literal -1 binary64))
(.f64 (/.f64 (neg.f64 (cosh.f64 x)) #s(literal 2 binary64)) (/.f64 #s(literal 2 binary64) (neg.f64 (.f64 (cosh.f64 x) (cosh.f64 x)))))
(.f64 (/.f64 (.f64 (cosh.f64 x) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (exp.f64 x))) (/.f64 (pow.f64 (cosh.f64 x) #s(literal -2 binary64)) (exp.f64 (neg.f64 x))))
(.f64 (/.f64 (cosh.f64 x) (.f64 #s(literal 2 binary64) (exp.f64 x))) (/.f64 (/.f64 #s(literal 2 binary64) (*.f64 (cosh.f64 x) (cosh.f64 x))) (exp.f64 (neg.f64 x))))
(*.f64 (/.f64 (cosh.f64 x) #s(literal 1 binary64)) (pow.f64 (cosh.f64 x) #s(literal -2 binary64)))
(.f64 (/.f64 (.f64 (cosh.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1/2 binary64) (*.f64 (cosh.f64 x) (cosh.f64 x))))
(.f64 (/.f64 #s(literal 1/2 binary64) (cosh.f64 x)) (/.f64 (.f64 (cosh.f64 x) #s(literal 2 binary64)) (cosh.f64 x)))
(.f64 (/.f64 (cosh.f64 x) #s(literal -2 binary64)) (/.f64 #s(literal -2 binary64) (.f64 (cosh.f64 x) (cosh.f64 x))))
(*.f64 (/.f64 #s(literal 1 binary64) (cosh.f64 x)) (/.f64 (cosh.f64 x) (cosh.f64 x)))
(.f64 (/.f64 (.f64 #s(literal -2 binary64) (cosh.f64 x)) (cosh.f64 x)) (/.f64 #s(literal 1/2 binary64) (neg.f64 (cosh.f64 x))))
(.f64 (/.f64 (.f64 #s(literal -2 binary64) (cosh.f64 x)) (cosh.f64 x)) (*.f64 (/.f64 #s(literal -2 binary64) (cosh.f64 x)) #s(literal 1/4 binary64)))
(.f64 (/.f64 (.f64 (cosh.f64 x) #s(literal 2 binary64)) (cosh.f64 x)) (/.f64 #s(literal 1/2 binary64) (cosh.f64 x)))
(.f64 (/.f64 (.f64 (cosh.f64 x) #s(literal 2 binary64)) (cosh.f64 x)) (*.f64 (/.f64 #s(literal 1 binary64) (cosh.f64 x)) #s(literal 1/2 binary64)))
(.f64 (.f64 (/.f64 #s(literal -2 binary64) (cosh.f64 x)) #s(literal 1/2 binary64)) (/.f64 (cosh.f64 x) (neg.f64 (cosh.f64 x))))
(*.f64 (pow.f64 (cosh.f64 x) #s(literal -2 binary64)) (cosh.f64 x))
(*.f64 (/.f64 (cosh.f64 x) (neg.f64 (cosh.f64 x))) (/.f64 #s(literal 1 binary64) (neg.f64 (cosh.f64 x))))
(.f64 (/.f64 (cosh.f64 x) (neg.f64 (cosh.f64 x))) (.f64 (/.f64 #s(literal -2 binary64) (cosh.f64 x)) #s(literal 1/2 binary64)))
(.f64 (/.f64 #s(literal -2 binary64) (cosh.f64 x)) (/.f64 (cosh.f64 x) (.f64 #s(literal -2 binary64) (cosh.f64 x))))
(.f64 (/.f64 #s(literal -2 binary64) (cosh.f64 x)) (/.f64 (neg.f64 (cosh.f64 x)) (.f64 (cosh.f64 x) #s(literal 2 binary64))))
(*.f64 (/.f64 (cosh.f64 x) (cosh.f64 x)) (/.f64 #s(literal 1 binary64) (cosh.f64 x)))
(.f64 (.f64 #s(literal 1/2 binary64) (cosh.f64 x)) (/.f64 (/.f64 #s(literal 2 binary64) (*.f64 (cosh.f64 x) (cosh.f64 x))) #s(literal 1 binary64)))
(.f64 (.f64 #s(literal 1/2 binary64) (cosh.f64 x)) (/.f64 #s(literal 2 binary64) (*.f64 (cosh.f64 x) (cosh.f64 x))))
(.f64 (/.f64 #s(literal 2 binary64) (.f64 (cosh.f64 x) (cosh.f64 x))) (*.f64 #s(literal 1/2 binary64) (cosh.f64 x)))
(.f64 (.f64 (/.f64 #s(literal 1/2 binary64) (cosh.f64 x)) (cosh.f64 x)) (/.f64 #s(literal 2 binary64) (cosh.f64 x)))
(.f64 (/.f64 #s(literal 2 binary64) (cosh.f64 x)) (.f64 (/.f64 #s(literal 1/2 binary64) (cosh.f64 x)) (cosh.f64 x)))
(.f64 #s(literal 4 binary64) (/.f64 (cosh.f64 x) (pow.f64 (.f64 (cosh.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64))))
(.f64 (/.f64 (.f64 (cosh.f64 x) #s(literal 2 binary64)) (*.f64 (cosh.f64 x) (cosh.f64 x))) #s(literal 1/2 binary64))
(.f64 (/.f64 #s(literal 1/2 binary64) (.f64 (cosh.f64 x) (cosh.f64 x))) (*.f64 (cosh.f64 x) #s(literal 2 binary64)))
(.f64 #s(literal -1 binary64) (/.f64 (cosh.f64 x) (neg.f64 (.f64 (cosh.f64 x) (cosh.f64 x)))))
(.f64 #s(literal -1 binary64) (/.f64 (neg.f64 (cosh.f64 x)) (.f64 (cosh.f64 x) (cosh.f64 x))))
(.f64 (.f64 #s(literal -2 binary64) (cosh.f64 x)) (*.f64 (pow.f64 (cosh.f64 x) #s(literal -2 binary64)) #s(literal -1/2 binary64)))
(.f64 (.f64 (cosh.f64 x) #s(literal 2 binary64)) (/.f64 #s(literal 1/2 binary64) (*.f64 (cosh.f64 x) (cosh.f64 x))))
(.f64 (exp.f64 (neg.f64 x)) (/.f64 (/.f64 (cosh.f64 x) (.f64 (cosh.f64 x) (cosh.f64 x))) (exp.f64 (neg.f64 x))))
(.f64 #s(literal 1 binary64) (/.f64 (/.f64 (cosh.f64 x) (.f64 (cosh.f64 x) (cosh.f64 x))) #s(literal 1 binary64)))
(.f64 #s(literal 1 binary64) (/.f64 (cosh.f64 x) (.f64 (cosh.f64 x) (cosh.f64 x))))
(.f64 (/.f64 (cosh.f64 x) (.f64 (cosh.f64 x) (cosh.f64 x))) #s(literal 1 binary64))
(*.f64 (cosh.f64 x) (/.f64 (pow.f64 (cosh.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64)))
(*.f64 (cosh.f64 x) (pow.f64 (cosh.f64 x) #s(literal -2 binary64)))
(.f64 #s(literal 2 binary64) (/.f64 (/.f64 (cosh.f64 x) (.f64 (cosh.f64 x) (cosh.f64 x))) #s(literal 2 binary64)))
(.f64 #s(literal 2 binary64) (.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (cosh.f64 x) (cosh.f64 x))) (cosh.f64 x)))
(/.f64 (.f64 (/.f64 #s(literal 2 binary64) (.f64 (cosh.f64 x) (cosh.f64 x))) (*.f64 #s(literal -2 binary64) (cosh.f64 x))) #s(literal -4 binary64))
(/.f64 (.f64 (/.f64 #s(literal 2 binary64) (.f64 (cosh.f64 x) (cosh.f64 x))) (*.f64 (cosh.f64 x) #s(literal 2 binary64))) #s(literal 4 binary64))
(/.f64 (.f64 (/.f64 #s(literal 2 binary64) (cosh.f64 x)) (.f64 #s(literal -2 binary64) (cosh.f64 x))) (.f64 (.f64 (cosh.f64 x) #s(literal 2 binary64)) #s(literal -2 binary64)))
(/.f64 (.f64 (/.f64 #s(literal 2 binary64) (cosh.f64 x)) (.f64 (cosh.f64 x) #s(literal 2 binary64))) (.f64 (.f64 (cosh.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)))
(/.f64 (.f64 (/.f64 (.f64 #s(literal -2 binary64) (cosh.f64 x)) (cosh.f64 x)) #s(literal 1 binary64)) (*.f64 #s(literal -2 binary64) (cosh.f64 x)))
(/.f64 (.f64 (/.f64 (.f64 (cosh.f64 x) #s(literal 2 binary64)) (cosh.f64 x)) #s(literal 1 binary64)) (*.f64 (cosh.f64 x) #s(literal 2 binary64)))
(/.f64 (.f64 (/.f64 #s(literal 1 binary64) (cosh.f64 x)) (.f64 #s(literal 2 binary64) (.f64 (cosh.f64 x) #s(literal 2 binary64)))) (.f64 (*.f64 (cosh.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)))
(/.f64 (.f64 (/.f64 #s(literal 1 binary64) (cosh.f64 x)) (.f64 (.f64 (cosh.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64))) (.f64 (*.f64 (cosh.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)))
(/.f64 (.f64 (pow.f64 (cosh.f64 x) #s(literal -2 binary64)) (.f64 #s(literal 2 binary64) (*.f64 (cosh.f64 x) #s(literal 2 binary64)))) #s(literal 4 binary64))
(/.f64 (.f64 (pow.f64 (cosh.f64 x) #s(literal -2 binary64)) (.f64 (*.f64 (cosh.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64))) #s(literal 4 binary64))
(/.f64 (.f64 #s(literal -1 binary64) (.f64 #s(literal 2 binary64) (.f64 (cosh.f64 x) #s(literal 2 binary64)))) (.f64 (.f64 (.f64 (cosh.f64 x) (cosh.f64 x)) #s(literal -2 binary64)) #s(literal 2 binary64)))
(/.f64 (.f64 #s(literal -1 binary64) (.f64 (.f64 (cosh.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64))) (.f64 (.f64 (.f64 (cosh.f64 x) (cosh.f64 x)) #s(literal -2 binary64)) #s(literal 2 binary64)))
(/.f64 (.f64 #s(literal 1/2 binary64) (.f64 #s(literal 2 binary64) (.f64 (cosh.f64 x) #s(literal 2 binary64)))) (.f64 (*.f64 (cosh.f64 x) (cosh.f64 x)) #s(literal 2 binary64)))
(/.f64 (.f64 #s(literal 1/2 binary64) (.f64 (.f64 (cosh.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64))) (.f64 (*.f64 (cosh.f64 x) (cosh.f64 x)) #s(literal 2 binary64)))
(/.f64 (.f64 (.f64 #s(literal 2 binary64) (.f64 (cosh.f64 x) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (cosh.f64 x))) (.f64 #s(literal 2 binary64) (*.f64 (cosh.f64 x) #s(literal 2 binary64))))
(/.f64 (.f64 (.f64 #s(literal 2 binary64) (*.f64 (cosh.f64 x) #s(literal 2 binary64))) (pow.f64 (cosh.f64 x) #s(literal -2 binary64))) #s(literal 4 binary64))
(/.f64 (.f64 (.f64 #s(literal 2 binary64) (.f64 (cosh.f64 x) #s(literal 2 binary64))) #s(literal -1 binary64)) (.f64 #s(literal 2 binary64) (.f64 (.f64 (cosh.f64 x) (cosh.f64 x)) #s(literal -2 binary64))))
(/.f64 (.f64 (.f64 #s(literal 2 binary64) (.f64 (cosh.f64 x) #s(literal 2 binary64))) #s(literal 1/2 binary64)) (.f64 (*.f64 (cosh.f64 x) (cosh.f64 x)) #s(literal 2 binary64)))
(/.f64 (.f64 (.f64 (.f64 (cosh.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (cosh.f64 x))) (.f64 #s(literal 2 binary64) (*.f64 (cosh.f64 x) #s(literal 2 binary64))))
(/.f64 (.f64 (.f64 (*.f64 (cosh.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)) (pow.f64 (cosh.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 -1 binary64)) (.f64 #s(literal 2 binary64) (.f64 (.f64 (cosh.f64 x) (cosh.f64 x)) #s(literal -2 binary64))))
(/.f64 (.f64 (.f64 (.f64 (cosh.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 1/2 binary64)) (.f64 (*.f64 (cosh.f64 x) (cosh.f64 x)) #s(literal 2 binary64)))
(/.f64 (.f64 (.f64 (exp.f64 x) #s(literal -1 binary64)) (.f64 (/.f64 (cosh.f64 x) (.f64 (cosh.f64 x) (cosh.f64 x))) #s(literal 2 binary64))) (*.f64 (neg.f64 (exp.f64 x)) #s(literal 2 binary64)))
(/.f64 (.f64 (.f64 (exp.f64 x) #s(literal -1 binary64)) (.f64 (.f64 (cosh.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64))) (.f64 (neg.f64 (exp.f64 x)) (.f64 (*.f64 (cosh.f64 x) (cosh.f64 x)) #s(literal 2 binary64))))
(/.f64 (.f64 (.f64 (exp.f64 x) #s(literal -1 binary64)) (/.f64 (.f64 (cosh.f64 x) #s(literal 2 binary64)) (cosh.f64 x))) (.f64 (neg.f64 (exp.f64 x)) (*.f64 (cosh.f64 x) #s(literal 2 binary64))))
(/.f64 (.f64 (.f64 (exp.f64 x) #s(literal -1 binary64)) (.f64 (cosh.f64 x) #s(literal 1 binary64))) (.f64 (neg.f64 (exp.f64 x)) (*.f64 (cosh.f64 x) (cosh.f64 x))))
(/.f64 (.f64 (.f64 (exp.f64 x) #s(literal -1 binary64)) (/.f64 (cosh.f64 x) (neg.f64 (cosh.f64 x)))) (*.f64 (neg.f64 (exp.f64 x)) (neg.f64 (cosh.f64 x))))
(/.f64 (.f64 (.f64 (exp.f64 x) #s(literal -1 binary64)) (/.f64 (cosh.f64 x) (cosh.f64 x))) (*.f64 (neg.f64 (exp.f64 x)) (cosh.f64 x)))
(/.f64 (.f64 (.f64 (exp.f64 x) #s(literal -1 binary64)) (.f64 (.f64 (cosh.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64))) (.f64 (neg.f64 (exp.f64 x)) (.f64 #s(literal 2 binary64) (.f64 (.f64 (cosh.f64 x) (cosh.f64 x)) #s(literal 2 binary64)))))
(/.f64 (.f64 (.f64 (exp.f64 x) #s(literal -1 binary64)) (neg.f64 (/.f64 (.f64 (cosh.f64 x) #s(literal 2 binary64)) (.f64 (cosh.f64 x) (cosh.f64 x))))) (*.f64 (neg.f64 (exp.f64 x)) #s(literal -2 binary64)))
(/.f64 (.f64 (.f64 (exp.f64 x) #s(literal -1 binary64)) (/.f64 (.f64 (cosh.f64 x) #s(literal 2 binary64)) (.f64 (cosh.f64 x) (cosh.f64 x)))) (*.f64 (neg.f64 (exp.f64 x)) #s(literal 2 binary64)))
(/.f64 (.f64 (.f64 (exp.f64 x) #s(literal -1 binary64)) (neg.f64 (cosh.f64 x))) (.f64 (neg.f64 (exp.f64 x)) (neg.f64 (.f64 (cosh.f64 x) (cosh.f64 x)))))
(/.f64 (.f64 (.f64 (exp.f64 x) #s(literal -1 binary64)) (cosh.f64 x)) (.f64 (neg.f64 (exp.f64 x)) (.f64 (cosh.f64 x) (cosh.f64 x))))
(/.f64 (.f64 (exp.f64 (+.f64 x #s(literal 0 binary64))) (.f64 (/.f64 (cosh.f64 x) (.f64 (cosh.f64 x) (cosh.f64 x))) #s(literal 2 binary64))) (.f64 (exp.f64 x) #s(literal 2 binary64)))
(/.f64 (.f64 (exp.f64 (+.f64 x #s(literal 0 binary64))) (.f64 (.f64 (cosh.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64))) (.f64 (exp.f64 x) (.f64 (.f64 (cosh.f64 x) (cosh.f64 x)) #s(literal 2 binary64))))
(/.f64 (.f64 (exp.f64 (+.f64 x #s(literal 0 binary64))) (/.f64 (.f64 (cosh.f64 x) #s(literal 2 binary64)) (cosh.f64 x))) (.f64 (exp.f64 x) (.f64 (cosh.f64 x) #s(literal 2 binary64))))
(/.f64 (.f64 (exp.f64 (+.f64 x #s(literal 0 binary64))) (.f64 (cosh.f64 x) #s(literal 1 binary64))) (.f64 (exp.f64 x) (.f64 (cosh.f64 x) (cosh.f64 x))))
(/.f64 (.f64 (exp.f64 (+.f64 x #s(literal 0 binary64))) (/.f64 (cosh.f64 x) (neg.f64 (cosh.f64 x)))) (.f64 (exp.f64 x) (neg.f64 (cosh.f64 x))))
(/.f64 (.f64 (exp.f64 (+.f64 x #s(literal 0 binary64))) (/.f64 (cosh.f64 x) (cosh.f64 x))) (.f64 (exp.f64 x) (cosh.f64 x)))
(/.f64 (.f64 (exp.f64 (+.f64 x #s(literal 0 binary64))) (.f64 (.f64 (cosh.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64))) (.f64 (exp.f64 x) (.f64 #s(literal 2 binary64) (.f64 (*.f64 (cosh.f64 x) (cosh.f64 x)) #s(literal 2 binary64)))))
(/.f64 (.f64 (exp.f64 (+.f64 x #s(literal 0 binary64))) (neg.f64 (/.f64 (.f64 (cosh.f64 x) #s(literal 2 binary64)) (.f64 (cosh.f64 x) (cosh.f64 x))))) (.f64 (exp.f64 x) #s(literal -2 binary64)))
(/.f64 (.f64 (exp.f64 (+.f64 x #s(literal 0 binary64))) (/.f64 (.f64 (cosh.f64 x) #s(literal 2 binary64)) (.f64 (cosh.f64 x) (cosh.f64 x)))) (.f64 (exp.f64 x) #s(literal 2 binary64)))
(/.f64 (.f64 (exp.f64 (+.f64 x #s(literal 0 binary64))) (neg.f64 (cosh.f64 x))) (.f64 (exp.f64 x) (neg.f64 (*.f64 (cosh.f64 x) (cosh.f64 x)))))
(/.f64 (.f64 (exp.f64 (+.f64 x #s(literal 0 binary64))) (cosh.f64 x)) (.f64 (exp.f64 x) (*.f64 (cosh.f64 x) (cosh.f64 x))))
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(fabs.f64 (neg.f64 (*.f64 (cosh.f64 x) (cosh.f64 x))))
(fabs.f64 (*.f64 (cosh.f64 x) (cosh.f64 x)))
(+.f64 (/.f64 (.f64 (.f64 (cosh.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x))) #s(literal 4 binary64)) (/.f64 (.f64 (.f64 (cosh.f64 x) #s(literal 2 binary64)) (exp.f64 x)) #s(literal 4 binary64)))
(+.f64 (/.f64 (.f64 (.f64 (cosh.f64 x) #s(literal 2 binary64)) (exp.f64 x)) #s(literal 4 binary64)) (/.f64 (.f64 (.f64 (cosh.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x))) #s(literal 4 binary64)))
(+.f64 (/.f64 (.f64 (exp.f64 (neg.f64 x)) (.f64 (cosh.f64 x) #s(literal 2 binary64))) #s(literal 4 binary64)) (/.f64 (.f64 (exp.f64 x) (.f64 (cosh.f64 x) #s(literal 2 binary64))) #s(literal 4 binary64)))
(+.f64 (/.f64 (.f64 (exp.f64 x) (.f64 (cosh.f64 x) #s(literal 2 binary64))) #s(literal 4 binary64)) (/.f64 (.f64 (exp.f64 (neg.f64 x)) (.f64 (cosh.f64 x) #s(literal 2 binary64))) #s(literal 4 binary64)))
(+.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (neg.f64 x) #s(literal 2 binary64))) #s(literal 2 binary64)) #s(literal 4 binary64)) (/.f64 (exp.f64 (+.f64 x x)) #s(literal 4 binary64)))
(+.f64 (/.f64 (-.f64 (exp.f64 (+.f64 x x)) (.f64 #s(literal 2 binary64) (.f64 (exp.f64 x) (neg.f64 (exp.f64 (neg.f64 x)))))) #s(literal 4 binary64)) (/.f64 (exp.f64 (*.f64 (neg.f64 x) #s(literal 2 binary64))) #s(literal 4 binary64)))
(+.f64 (/.f64 (exp.f64 (*.f64 (neg.f64 x) #s(literal 2 binary64))) #s(literal 4 binary64)) (/.f64 (-.f64 (exp.f64 (+.f64 x x)) #s(literal -2 binary64)) #s(literal 4 binary64)))
(+.f64 (/.f64 (-.f64 (exp.f64 (+.f64 x x)) #s(literal -2 binary64)) #s(literal 4 binary64)) (/.f64 (exp.f64 (*.f64 (neg.f64 x) #s(literal 2 binary64))) #s(literal 4 binary64)))
(+.f64 (/.f64 (exp.f64 (+.f64 x x)) #s(literal 4 binary64)) (/.f64 (+.f64 #s(literal 2 binary64) (exp.f64 (*.f64 (neg.f64 x) #s(literal 2 binary64)))) #s(literal 4 binary64)))
(+.f64 (/.f64 (.f64 (.f64 (cosh.f64 x) (cosh.f64 x)) #s(literal 1 binary64)) #s(literal 2 binary64)) (/.f64 (.f64 (.f64 (cosh.f64 x) (cosh.f64 x)) #s(literal 1 binary64)) #s(literal 2 binary64)))
(+.f64 (/.f64 (.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 (+.f64 x x)) #s(literal -2 binary64))) #s(literal 2 binary64)) (/.f64 (.f64 #s(literal 1/2 binary64) (exp.f64 (*.f64 (neg.f64 x) #s(literal 2 binary64)))) #s(literal 2 binary64)))
(+.f64 (/.f64 (.f64 #s(literal 1 binary64) (.f64 (cosh.f64 x) (cosh.f64 x))) #s(literal 2 binary64)) (/.f64 (.f64 #s(literal 1 binary64) (.f64 (cosh.f64 x) (cosh.f64 x))) #s(literal 2 binary64)))
(+.f64 (/.f64 (.f64 (-.f64 (exp.f64 (+.f64 x x)) #s(literal -2 binary64)) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (/.f64 (.f64 (exp.f64 (*.f64 (neg.f64 x) #s(literal 2 binary64))) #s(literal 1/2 binary64)) #s(literal 2 binary64)))
(+.f64 (/.f64 (.f64 (cosh.f64 x) (cosh.f64 x)) #s(literal 2 binary64)) (/.f64 (.f64 (cosh.f64 x) (cosh.f64 x)) #s(literal 2 binary64)))
#s(approx (/ (* (cosh x) 2) (* (* (cosh x) (cosh x)) 2)) #s(literal 1 binary64))
#s(approx (/ (* (cosh x) 2) (* (* (cosh x) (cosh x)) 2)) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64)))
#s(approx (/ (* (cosh x) 2) (* (* (cosh x) (cosh x)) 2)) (fma.f64 (fma.f64 #s(literal 5/24 binary64) (.f64 x x) #s(literal -1/2 binary64)) (.f64 x x) #s(literal 1 binary64)))
#s(approx (/ (* (cosh x) 2) (* (* (cosh x) (cosh x)) 2)) (fma.f64 (.f64 (fma.f64 (fma.f64 #s(literal -61/720 binary64) (.f64 x x) #s(literal 5/24 binary64)) (*.f64 x x) #s(literal -1/2 binary64)) x) x #s(literal 1 binary64)))
#s(approx (* (cosh x) 2) #s(literal 2 binary64))
#s(approx (* (cosh x) 2) (fma.f64 x x #s(literal 2 binary64)))
#s(approx (* (cosh x) 2) (fma.f64 (fma.f64 #s(literal 1/12 binary64) (.f64 x x) #s(literal 1 binary64)) (.f64 x x) #s(literal 2 binary64)))
#s(approx (* (cosh x) 2) (fma.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/360 binary64) (.f64 x x) #s(literal 1/12 binary64)) (*.f64 x x) #s(literal 1 binary64)) x) x #s(literal 2 binary64)))
#s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)))
#s(approx (cosh x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 x x) #s(literal 1/2 binary64)) (.f64 x x) #s(literal 1 binary64)))
#s(approx (cosh x) (fma.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x) x #s(literal 1 binary64)))
#s(approx x x)
#s(approx (* (* (cosh x) (cosh x)) 2) (fma.f64 x (+.f64 x x) #s(literal 2 binary64)))
#s(approx (* (* (cosh x) (cosh x)) 2) (fma.f64 (fma.f64 #s(literal 2/3 binary64) (.f64 x x) #s(literal 2 binary64)) (.f64 x x) #s(literal 2 binary64)))
#s(approx (* (* (cosh x) (cosh x)) 2) (fma.f64 (.f64 (fma.f64 (fma.f64 #s(literal 4/45 binary64) (.f64 x x) #s(literal 2/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x) x #s(literal 2 binary64)))
#s(approx (* (cosh x) (cosh x)) (fma.f64 x x #s(literal 1 binary64)))
#s(approx (* (cosh x) (cosh x)) (fma.f64 (fma.f64 #s(literal 1/3 binary64) (.f64 x x) #s(literal 1 binary64)) (.f64 x x) #s(literal 1 binary64)))
#s(approx (* (cosh x) (cosh x)) (fma.f64 (.f64 (fma.f64 (fma.f64 #s(literal 2/45 binary64) (.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 1 binary64)) x) x #s(literal 1 binary64)))
#s(approx (/ (* (cosh x) 2) (* (* (cosh x) (cosh x)) 2)) (/.f64 #s(literal 1 binary64) (cosh.f64 x)))
#s(approx (* (cosh x) 2) (*.f64 (cosh.f64 x) #s(literal 2 binary64)))
#s(approx (cosh x) (cosh.f64 x))
#s(approx (* (* (cosh x) (cosh x)) 2) (.f64 (.f64 (cosh.f64 x) (cosh.f64 x)) #s(literal 2 binary64)))
#s(approx (* (cosh x) (cosh x)) (.f64 #s(literal 1/4 binary64) (pow.f64 (.f64 (cosh.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64))))

eval59.0ms (3.4%)

Memory: 13.9MiB live, 112.6MiB allocated; 18ms collecting garbage
Compiler: Compiled 8 350 to 2 085 computations (75% saved)

prune13.0ms (0.8%)

Memory

-12.7MiB live, 32.9MiB allocated; 4ms collecting garbage

Pruning

5 alts after pruning (1 fresh and 4 done)

	Pruned	Kept	Total
New	726	1	727
Fresh	0	0	0
Picked	1	0	1
Done	0	4	4
Total	727	5	732

Accuracy

100.0%

Counts

732 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	54.3%	(/.f64 (cosh.f64 x) (*.f64 (cosh.f64 x) (cosh.f64 x)))
✓	77.5%	(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 x x #s(literal 2 binary64))))
✓	100.0%	(/.f64 #s(literal 1 binary64) (cosh.f64 x))
✓	54.5%	#s(approx (/ 2 (+ (exp x) (exp (neg x)))) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64)))
✓	54.9%	#s(approx (/ 2 (+ (exp x) (exp (neg x)))) #s(literal 1 binary64))

Compiler

Compiled 40 to 38 computations (5% saved)

series2.0ms (0.1%)

Memory

4.0MiB live, 4.0MiB allocated; 0ms collecting garbage

Counts

4 → 14

Calls

Call 1

Inputs
(/.f64 (cosh.f64 x) (*.f64 (cosh.f64 x) (cosh.f64 x)))
(cosh.f64 x)
x
(*.f64 (cosh.f64 x) (cosh.f64 x))

Outputs
#s(approx (/ (cosh x) (* (cosh x) (cosh x))) #s(hole binary64 1))
#s(approx (/ (cosh x) (* (cosh x) (cosh x))) #s(hole binary64 (+ 1 (* -1/2 (pow x 2)))))
#s(approx (/ (cosh x) (* (cosh x) (cosh x))) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 5/24 (pow x 2)) 1/2)))))
#s(approx (/ (cosh x) (* (cosh x) (cosh x))) #s(hole binary64 (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 5/24 (* -61/720 (pow x 2)))) 1/2)))))
#s(approx (cosh x) #s(hole binary64 (+ 1 (* 1/2 (pow x 2)))))
#s(approx (cosh x) #s(hole binary64 (+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2)))))))
#s(approx (cosh x) #s(hole binary64 (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))))
#s(approx x #s(hole binary64 x))
#s(approx (* (cosh x) (cosh x)) #s(hole binary64 (+ 1 (pow x 2))))
#s(approx (* (cosh x) (cosh x)) #s(hole binary64 (+ 1 (* (pow x 2) (+ 1 (* 1/3 (pow x 2)))))))
#s(approx (* (cosh x) (cosh x)) #s(hole binary64 (+ 1 (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/3 (* 2/45 (pow x 2)))))))))
#s(approx (/ (cosh x) (* (cosh x) (cosh x))) #s(hole binary64 (/ 2 (+ (exp x) (/ 1 (exp x))))))
#s(approx (cosh x) #s(hole binary64 (* 1/2 (+ (exp x) (/ 1 (exp x))))))
#s(approx (* (cosh x) (cosh x)) #s(hole binary64 (* 1/4 (pow (+ (exp x) (/ 1 (exp x))) 2))))

Calls

3 calls:

Time	Variable		Point	Expression
1.0ms	x	@	inf	((/ (cosh x) (* (cosh x) (cosh x))) (cosh x) x (* (cosh x) (cosh x)))
1.0ms	x	@	-inf	((/ (cosh x) (* (cosh x) (cosh x))) (cosh x) x (* (cosh x) (cosh x)))
0.0ms	x	@	0	((/ (cosh x) (* (cosh x) (cosh x))) (cosh x) x (* (cosh x) (cosh x)))

Time

Variable

Point

Expression

1.0ms

inf

((/ (cosh x) (* (cosh x) (cosh x))) (cosh x) x (* (cosh x) (cosh x)))

1.0ms

-inf

((/ (cosh x) (* (cosh x) (cosh x))) (cosh x) x (* (cosh x) (cosh x)))

0.0ms

((/ (cosh x) (* (cosh x) (cosh x))) (cosh x) x (* (cosh x) (cosh x)))

rewrite151.0ms (8.7%)

Memory

0.2MiB live, 145.7MiB allocated; 8ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	75	245
0	80	231
1	509	201
2	2287	193
0	8238	175
1	17599	175

Stop Event

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

Counts

18 → 323

Calls

Call 1

Inputs
(/.f64 (cosh.f64 x) (*.f64 (cosh.f64 x) (cosh.f64 x)))
(cosh.f64 x)
x
(*.f64 (cosh.f64 x) (cosh.f64 x))
#s(approx (/ (cosh x) (* (cosh x) (cosh x))) #s(hole binary64 1))
#s(approx (/ (cosh x) (* (cosh x) (cosh x))) #s(hole binary64 (+ 1 (* -1/2 (pow x 2)))))
#s(approx (/ (cosh x) (* (cosh x) (cosh x))) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 5/24 (pow x 2)) 1/2)))))
#s(approx (/ (cosh x) (* (cosh x) (cosh x))) #s(hole binary64 (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 5/24 (* -61/720 (pow x 2)))) 1/2)))))
#s(approx (cosh x) #s(hole binary64 (+ 1 (* 1/2 (pow x 2)))))
#s(approx (cosh x) #s(hole binary64 (+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2)))))))
#s(approx (cosh x) #s(hole binary64 (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))))
#s(approx x #s(hole binary64 x))
#s(approx (* (cosh x) (cosh x)) #s(hole binary64 (+ 1 (pow x 2))))
#s(approx (* (cosh x) (cosh x)) #s(hole binary64 (+ 1 (* (pow x 2) (+ 1 (* 1/3 (pow x 2)))))))
#s(approx (* (cosh x) (cosh x)) #s(hole binary64 (+ 1 (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/3 (* 2/45 (pow x 2)))))))))
#s(approx (/ (cosh x) (* (cosh x) (cosh x))) #s(hole binary64 (/ 2 (+ (exp x) (/ 1 (exp x))))))
#s(approx (cosh x) #s(hole binary64 (* 1/2 (+ (exp x) (/ 1 (exp x))))))
#s(approx (* (cosh x) (cosh x)) #s(hole binary64 (* 1/4 (pow (+ (exp x) (/ 1 (exp x))) 2))))

Outputs
(.f64 (/.f64 (.f64 #s(literal 2 binary64) (cosh.f64 x)) (*.f64 #s(literal 2 binary64) (exp.f64 x))) (/.f64 (pow.f64 (cosh.f64 x) #s(literal -2 binary64)) (exp.f64 (neg.f64 x))))
(.f64 (/.f64 (.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 1 binary64)) (/.f64 (pow.f64 (cosh.f64 x) #s(literal -2 binary64)) #s(literal 2 binary64)))
(.f64 (/.f64 (.f64 #s(literal 2 binary64) (exp.f64 x)) #s(literal 2 binary64)) (/.f64 (exp.f64 (neg.f64 x)) (cosh.f64 x)))
(.f64 (/.f64 (exp.f64 (+.f64 x #s(literal 0 binary64))) (.f64 #s(literal 2 binary64) (cosh.f64 x))) (/.f64 (exp.f64 (neg.f64 x)) #s(literal 1/2 binary64)))
(.f64 (/.f64 (exp.f64 (+.f64 x #s(literal 0 binary64))) #s(literal 1/2 binary64)) (/.f64 (exp.f64 (neg.f64 x)) (.f64 #s(literal 2 binary64) (cosh.f64 x))))
(.f64 (/.f64 (.f64 (cosh.f64 x) (/.f64 #s(literal 1/2 binary64) (cosh.f64 x))) (*.f64 #s(literal 2 binary64) (cosh.f64 x))) #s(literal 4 binary64))
(.f64 (/.f64 (.f64 (cosh.f64 x) (/.f64 #s(literal 1/2 binary64) (cosh.f64 x))) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) (cosh.f64 x)))
(.f64 (/.f64 (exp.f64 (neg.f64 x)) #s(literal 1/2 binary64)) (/.f64 (exp.f64 x) (.f64 #s(literal 2 binary64) (cosh.f64 x))))
(.f64 (/.f64 (exp.f64 x) #s(literal 1/2 binary64)) (/.f64 (exp.f64 (neg.f64 x)) (.f64 #s(literal 2 binary64) (cosh.f64 x))))
(.f64 (/.f64 (cosh.f64 x) #s(literal 1/2 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (cosh.f64 x)) (.f64 #s(literal 2 binary64) (cosh.f64 x))))
(.f64 (/.f64 (.f64 #s(literal 2 binary64) (cosh.f64 x)) (neg.f64 (cosh.f64 x))) (/.f64 #s(literal 1/2 binary64) (neg.f64 (cosh.f64 x))))
(.f64 (/.f64 #s(literal 1/2 binary64) (neg.f64 (cosh.f64 x))) (/.f64 (.f64 #s(literal 2 binary64) (cosh.f64 x)) (neg.f64 (cosh.f64 x))))
(.f64 (/.f64 (.f64 #s(literal 2 binary64) (cosh.f64 x)) (cosh.f64 x)) (/.f64 #s(literal 1/2 binary64) (cosh.f64 x)))
(.f64 (/.f64 #s(literal 1/2 binary64) (cosh.f64 x)) (/.f64 (.f64 #s(literal 2 binary64) (cosh.f64 x)) (cosh.f64 x)))
(.f64 (/.f64 (exp.f64 (neg.f64 x)) (.f64 #s(literal 2 binary64) (cosh.f64 x))) (/.f64 (exp.f64 x) #s(literal 1/2 binary64)))
(.f64 (/.f64 (exp.f64 x) (.f64 #s(literal 2 binary64) (cosh.f64 x))) (/.f64 (exp.f64 (neg.f64 x)) #s(literal 1/2 binary64)))
(.f64 (.f64 (.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) (*.f64 (cosh.f64 x) (cosh.f64 x)))))
(.f64 (.f64 (cosh.f64 x) #s(literal 1 binary64)) (pow.f64 (cosh.f64 x) #s(literal -2 binary64)))
(.f64 (/.f64 (.f64 #s(literal 2 binary64) (cosh.f64 x)) (*.f64 (cosh.f64 x) (cosh.f64 x))) #s(literal 1/2 binary64))
(.f64 (.f64 (cosh.f64 x) (/.f64 #s(literal 1/2 binary64) (cosh.f64 x))) (/.f64 (/.f64 #s(literal 1 binary64) (cosh.f64 x)) #s(literal 1/2 binary64)))
(.f64 (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (cosh.f64 x))) #s(literal 2 binary64))
(*.f64 (pow.f64 (cosh.f64 x) #s(literal -2 binary64)) (cosh.f64 x))
(.f64 #s(literal -2 binary64) (/.f64 #s(literal -1 binary64) (.f64 #s(literal 2 binary64) (cosh.f64 x))))
(*.f64 (neg.f64 (cosh.f64 x)) (neg.f64 (pow.f64 (cosh.f64 x) #s(literal -2 binary64))))
(.f64 (.f64 #s(literal 2 binary64) (cosh.f64 x)) (/.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) (.f64 (cosh.f64 x) (cosh.f64 x)))))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (cosh.f64 x)))
(*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 2 binary64) (cosh.f64 x)))
(.f64 #s(literal 2 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (cosh.f64 x))))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (cosh.f64 x)))
(*.f64 (cosh.f64 x) (/.f64 (pow.f64 (cosh.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64)))
(*.f64 (cosh.f64 x) (pow.f64 (cosh.f64 x) #s(literal -2 binary64)))
(pow.f64 (cosh.f64 x) #s(literal -1 binary64))
(/.f64 (fma.f64 #s(literal -1 binary64) (neg.f64 (.f64 #s(literal 2 binary64) (cosh.f64 x))) (.f64 (neg.f64 (.f64 #s(literal 2 binary64) (cosh.f64 x))) #s(literal -1 binary64))) (.f64 #s(literal 4 binary64) (*.f64 (cosh.f64 x) (cosh.f64 x))))
(/.f64 (fma.f64 #s(literal -1 binary64) (.f64 #s(literal 2 binary64) (cosh.f64 x)) (.f64 (neg.f64 (.f64 #s(literal 2 binary64) (cosh.f64 x))) #s(literal 1 binary64))) (.f64 (neg.f64 (.f64 #s(literal 2 binary64) (cosh.f64 x))) (.f64 #s(literal 2 binary64) (cosh.f64 x))))
(/.f64 (fma.f64 #s(literal 1 binary64) (neg.f64 (.f64 #s(literal 2 binary64) (cosh.f64 x))) (.f64 (.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal -1 binary64))) (.f64 (.f64 #s(literal 2 binary64) (cosh.f64 x)) (neg.f64 (.f64 #s(literal 2 binary64) (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))) (.f64 #s(literal 4 binary64) (*.f64 (cosh.f64 x) (cosh.f64 x))))
(/.f64 (.f64 (/.f64 #s(literal -1 binary64) (cosh.f64 x)) (neg.f64 (.f64 #s(literal 2 binary64) (cosh.f64 x)))) (*.f64 (neg.f64 (cosh.f64 x)) #s(literal -2 binary64)))
(/.f64 (.f64 (/.f64 #s(literal -1 binary64) (cosh.f64 x)) (.f64 #s(literal 2 binary64) (cosh.f64 x))) (*.f64 (neg.f64 (cosh.f64 x)) #s(literal 2 binary64)))
(/.f64 (.f64 #s(literal -1 binary64) (neg.f64 (.f64 #s(literal 2 binary64) (cosh.f64 x)))) (.f64 (.f64 (neg.f64 (cosh.f64 x)) (cosh.f64 x)) #s(literal -2 binary64)))
(/.f64 (.f64 #s(literal -1 binary64) (.f64 #s(literal 2 binary64) (cosh.f64 x))) (.f64 (.f64 (neg.f64 (cosh.f64 x)) (cosh.f64 x)) #s(literal 2 binary64)))
(/.f64 (.f64 (/.f64 #s(literal 1 binary64) (cosh.f64 x)) (neg.f64 (.f64 #s(literal 2 binary64) (cosh.f64 x)))) (*.f64 (cosh.f64 x) #s(literal -2 binary64)))
(/.f64 (.f64 (/.f64 #s(literal 1 binary64) (cosh.f64 x)) (.f64 #s(literal 2 binary64) (cosh.f64 x))) (*.f64 (cosh.f64 x) #s(literal 2 binary64)))
(/.f64 (.f64 (.f64 (exp.f64 x) #s(literal -1 binary64)) (.f64 (cosh.f64 x) #s(literal 1 binary64))) (.f64 (neg.f64 (exp.f64 x)) (*.f64 (cosh.f64 x) (cosh.f64 x))))
(/.f64 (.f64 (.f64 (exp.f64 x) #s(literal -1 binary64)) (/.f64 (.f64 #s(literal 2 binary64) (cosh.f64 x)) (.f64 (cosh.f64 x) (cosh.f64 x)))) (*.f64 (neg.f64 (exp.f64 x)) #s(literal 2 binary64)))
(/.f64 (.f64 (.f64 (exp.f64 x) #s(literal -1 binary64)) (.f64 (.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 1 binary64))) (.f64 (neg.f64 (exp.f64 x)) (.f64 #s(literal 2 binary64) (*.f64 (cosh.f64 x) (cosh.f64 x)))))
(/.f64 (.f64 (.f64 (exp.f64 x) #s(literal -1 binary64)) #s(literal -2 binary64)) (.f64 (neg.f64 (exp.f64 x)) (neg.f64 (.f64 #s(literal 2 binary64) (cosh.f64 x)))))
(/.f64 (.f64 (exp.f64 (+.f64 x #s(literal 0 binary64))) (.f64 (cosh.f64 x) #s(literal 1 binary64))) (.f64 (exp.f64 x) (.f64 (cosh.f64 x) (cosh.f64 x))))
(/.f64 (.f64 (exp.f64 (+.f64 x #s(literal 0 binary64))) (/.f64 (.f64 #s(literal 2 binary64) (cosh.f64 x)) (.f64 (cosh.f64 x) (cosh.f64 x)))) (.f64 (exp.f64 x) #s(literal 2 binary64)))
(/.f64 (.f64 (exp.f64 (+.f64 x #s(literal 0 binary64))) (.f64 (.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 1 binary64))) (.f64 (exp.f64 x) (.f64 #s(literal 2 binary64) (.f64 (cosh.f64 x) (cosh.f64 x)))))
(/.f64 (.f64 (exp.f64 (+.f64 x #s(literal 0 binary64))) #s(literal -2 binary64)) (.f64 (exp.f64 x) (neg.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)))))
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x
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(+.f64 (.f64 (-.f64 (exp.f64 (+.f64 x x)) #s(literal -2 binary64)) #s(literal 1/4 binary64)) (.f64 (exp.f64 (*.f64 (neg.f64 x) #s(literal 2 binary64))) #s(literal 1/4 binary64)))
#s(approx (/ (cosh x) (* (cosh x) (cosh x))) #s(literal 1 binary64))
#s(approx (/ (cosh x) (* (cosh x) (cosh x))) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64)))
#s(approx (/ (cosh x) (* (cosh x) (cosh x))) (fma.f64 (fma.f64 #s(literal 5/24 binary64) (.f64 x x) #s(literal -1/2 binary64)) (.f64 x x) #s(literal 1 binary64)))
#s(approx (/ (cosh x) (* (cosh x) (cosh x))) (fma.f64 (.f64 (fma.f64 (fma.f64 #s(literal -61/720 binary64) (.f64 x x) #s(literal 5/24 binary64)) (*.f64 x x) #s(literal -1/2 binary64)) x) x #s(literal 1 binary64)))
#s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)))
#s(approx (cosh x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 x x) #s(literal 1/2 binary64)) (.f64 x x) #s(literal 1 binary64)))
#s(approx (cosh x) (fma.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x) x #s(literal 1 binary64)))
#s(approx x x)
#s(approx (* (cosh x) (cosh x)) (fma.f64 x x #s(literal 1 binary64)))
#s(approx (* (cosh x) (cosh x)) (fma.f64 (fma.f64 #s(literal 1/3 binary64) (.f64 x x) #s(literal 1 binary64)) (.f64 x x) #s(literal 1 binary64)))
#s(approx (* (cosh x) (cosh x)) (fma.f64 (.f64 (fma.f64 (fma.f64 #s(literal 2/45 binary64) (.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 1 binary64)) x) x #s(literal 1 binary64)))
#s(approx (/ (cosh x) (* (cosh x) (cosh x))) (/.f64 #s(literal 1 binary64) (cosh.f64 x)))
#s(approx (cosh x) (cosh.f64 x))
#s(approx (* (cosh x) (cosh x)) (*.f64 (cosh.f64 x) (cosh.f64 x)))

eval23.0ms (1.3%)

Memory: 6.2MiB live, 52.2MiB allocated; 3ms collecting garbage
Compiler: Compiled 3 385 to 827 computations (75.6% saved)

prune27.0ms (1.6%)

Memory

-28.3MiB live, 18.9MiB allocated; 2ms collecting garbage

Pruning

5 alts after pruning (0 fresh and 5 done)

	Pruned	Kept	Total
New	318	0	318
Fresh	0	0	0
Picked	0	1	1
Done	0	4	4
Total	318	5	323

Accuracy

100.0%

Counts

323 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	54.3%	(/.f64 (cosh.f64 x) (*.f64 (cosh.f64 x) (cosh.f64 x)))
✓	77.5%	(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 x x #s(literal 2 binary64))))
✓	100.0%	(/.f64 #s(literal 1 binary64) (cosh.f64 x))
✓	54.5%	#s(approx (/ 2 (+ (exp x) (exp (neg x)))) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64)))
✓	54.9%	#s(approx (/ 2 (+ (exp x) (exp (neg x)))) #s(literal 1 binary64))

Compiler

Compiled 92 to 69 computations (25% saved)

regimes7.0ms (0.4%)

Memory

13.5MiB live, 13.5MiB allocated; 0ms collecting garbage

Counts

8 → 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 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 x x #s(literal 2 binary64))))
(/.f64 #s(literal 1 binary64) (cosh.f64 x))
(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(/.f64 (cosh.f64 x) (*.f64 (cosh.f64 x) (cosh.f64 x)))
(/.f64 (.f64 (cosh.f64 x) #s(literal 2 binary64)) (.f64 (*.f64 (cosh.f64 x) (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)))

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

Calls

3 calls:

3.0ms	x
2.0ms	(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
2.0ms	(+.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

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

Counts

3 → 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 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 x x #s(literal 2 binary64))))

Outputs
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 x x #s(literal 2 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
77.5%	1	`(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))`
77.5%	1	`(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))`
77.5%	1	`x`

Compiler

Compiled 13 to 13 computations (0% saved)

regimes3.0ms (0.2%)

Memory

11.5MiB live, 11.5MiB allocated; 0ms collecting garbage

Accuracy

Total -0.4b remaining (-1.3%)

Threshold costs -0.4b (-1.3%)

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
54.9%	1	`x`
54.9%	1	`(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))`
54.9%	1	`(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))`

Compiler

Compiled 13 to 13 computations (0% saved)

derivations66.0ms (3.7%)

Memory

-39.6MiB live, 57.8MiB allocated; 5ms collecting garbage

Stop Event

1×

done

Compiler

Compiled 19 to 15 computations (21.1% saved)

preprocess20.0ms (1.1%)

Memory: 41.9MiB live, 41.9MiB allocated; 0ms collecting garbage
Remove: (abs x)
Compiler: Compiled 70 to 66 computations (5.7% saved)

end0.0ms (0%)

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

start0.0ms (0%)

analyze0.0ms (0%)

sample683.0ms (39.1%)

preprocess41.0ms (2.4%)

series3.0ms (0.2%)

rewrite148.0ms (8.5%)

eval30.0ms (1.7%)

prune5.0ms (0.3%)

series10.0ms (0.6%)

rewrite198.0ms (11.3%)

eval52.0ms (3%)

prune9.0ms (0.5%)

series4.0ms (0.2%)

rewrite187.0ms (10.7%)

eval59.0ms (3.4%)

prune13.0ms (0.8%)

series2.0ms (0.1%)

rewrite151.0ms (8.7%)

eval23.0ms (1.3%)

prune27.0ms (1.6%)

regimes7.0ms (0.4%)

regimes4.0ms (0.2%)

regimes3.0ms (0.2%)

derivations66.0ms (3.7%)

preprocess20.0ms (1.1%)

end0.0ms (0%)

Profiling