Metrics for Hyperbolic secant

start0.0ms (0%)

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

analyze0.0ms (0%)

Memory

1.0MiB live, 1.0MiB allocated; 0ms collecting garbage

Algorithm

1×

Search

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

Compiler

Compiled 10 to 9 computations (10% saved)

sample645.0ms (27%)

Memory

33.9MiB live, 873.6MiB allocated; 188ms collecting garbage

Samples

448.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 269.0ms

ival-exp: 130.0ms (48.4% of total)

ival-div!: 61.0ms (22.7% of total)

ival-neg: 53.0ms (19.7% of total)

ival-add!: 23.0ms (8.6% of total)

adjust: 1.0ms (0.4% of total)

Bogosity

explain162.0ms (6.8%)

Memory

-34.5MiB live, 147.4MiB allocated; 89ms collecting garbage

FPErrors

Click to see full error table

Overpredictions	Example	Example	Subexpression
0	-	-	`(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))`
0	-	-	`#s(literal 2 binary64)`
0	-	-	`(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))`
0	-	-	`(exp.f64 x)`
1	(100.49406929494367)	-	`(exp.f64 (neg.f64 x))`
0	-	-	`(neg.f64 x)`
0	-	-	`x`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`exp.f64`	`(exp.f64 (neg.f64 x))`	sensitivity	1	2

Confusion

	Predicted +	Predicted -
+	0	0
-	1	255

Precision

0.0

Recall

0/0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	0	0	0
-	1	2	253

Precision?

0.0

Recall?

0/0

Freqs

test

number	freq
0	255
1	1

Total Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	0	0	0
-	1	0	0

Precision?

0.0

Recall?

0/0

Samples

25.0ms

512×

valid

Compiler

Compiled 58 to 25 computations (56.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 13.0ms

ival-exp: 7.0ms (53.7% of total)

ival-neg: 2.0ms (15.3% of total)

ival-div!: 2.0ms (15.3% of total)

ival-add!: 1.0ms (7.7% of total)

adjust: 0.0ms (0% of total)

preprocess68.0ms (2.9%)

Memory

-30.8MiB live, 12.8MiB allocated; 8ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	24
1	35	24
2	75	24
3	242	24
4	1827	24

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 16 to 14 computations (12.5% saved)

series3.0ms (0.1%)

Memory

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

Counts

7 → 25

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))
#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))
#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))

rewrite157.0ms (6.6%)

Memory

43.7MiB live, 174.9MiB allocated; 22ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	96	338
0	103	297
1	549	274
0	4704	254

Stop Event

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

Counts

32 → 86

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))
#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))
#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) (.f64 (.f64 (cosh.f64 x) #s(literal 2 binary64)) (.f64 #s(literal 2 binary64) (sinh.f64 x)))) (*.f64 #s(literal 2 binary64) (sinh.f64 x)))
(.f64 (/.f64 #s(literal 2 binary64) (+.f64 (pow.f64 (exp.f64 (neg.f64 x)) #s(literal 3 binary64)) (pow.f64 (exp.f64 x) #s(literal 3 binary64)))) (fma.f64 (exp.f64 x) (exp.f64 x) (expm1.f64 (.f64 (neg.f64 x) #s(literal 2 binary64)))))
(/.f64 #s(literal -2 binary64) (*.f64 #s(literal -2 binary64) (cosh.f64 x)))
(/.f64 #s(literal 1 binary64) (cosh.f64 x))
(/.f64 #s(literal 2 binary64) (neg.f64 (*.f64 #s(literal -2 binary64) (cosh.f64 x))))
(/.f64 #s(literal 2 binary64) (*.f64 (cosh.f64 x) #s(literal 2 binary64)))
(neg.f64 (/.f64 #s(literal -2 binary64) (*.f64 (cosh.f64 x) #s(literal 2 binary64))))
(neg.f64 (/.f64 #s(literal 2 binary64) (*.f64 #s(literal -2 binary64) (cosh.f64 x))))
(+.f64 (/.f64 #s(literal 1 binary64) (.f64 (cosh.f64 x) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (.f64 (cosh.f64 x) #s(literal 2 binary64))))
#s(literal 2 binary64)
(*.f64 (cosh.f64 x) #s(literal 2 binary64))
(*.f64 #s(literal 2 binary64) (cosh.f64 x))
(/.f64 (-.f64 (pow.f64 (exp.f64 (neg.f64 x)) #s(literal 2 binary64)) (pow.f64 (exp.f64 x) #s(literal 2 binary64))) (-.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)))
(/.f64 (neg.f64 (.f64 (.f64 (cosh.f64 x) #s(literal 2 binary64)) (.f64 #s(literal 2 binary64) (sinh.f64 x)))) (neg.f64 (.f64 #s(literal 2 binary64) (sinh.f64 x))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (exp.f64 (neg.f64 x)) #s(literal 3 binary64)) (pow.f64 (exp.f64 x) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (exp.f64 x) (exp.f64 x) (expm1.f64 (*.f64 (neg.f64 x) #s(literal 2 binary64))))))
(/.f64 (.f64 (.f64 (cosh.f64 x) #s(literal 2 binary64)) (.f64 #s(literal 2 binary64) (sinh.f64 x))) (.f64 #s(literal 2 binary64) (sinh.f64 x)))
(/.f64 (+.f64 (pow.f64 (exp.f64 (neg.f64 x)) #s(literal 3 binary64)) (pow.f64 (exp.f64 x) #s(literal 3 binary64))) (+.f64 (pow.f64 (exp.f64 (neg.f64 x)) #s(literal 2 binary64)) (expm1.f64 (*.f64 x #s(literal 2 binary64)))))
(/.f64 (+.f64 (pow.f64 (exp.f64 (neg.f64 x)) #s(literal 3 binary64)) (pow.f64 (exp.f64 x) #s(literal 3 binary64))) (fma.f64 (exp.f64 x) (exp.f64 x) (expm1.f64 (*.f64 (neg.f64 x) #s(literal 2 binary64)))))
(fma.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) (/.f64 x #s(literal 2 binary64))) (pow.f64 (exp.f64 #s(literal -1 binary64)) (/.f64 x #s(literal 2 binary64))) (exp.f64 x))
(fma.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 x)) (exp.f64 x))
(-.f64 (+.f64 (exp.f64 x) (cosh.f64 x)) (sinh.f64 x))
(-.f64 (/.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) (.f64 #s(literal 2 binary64) (sinh.f64 x))) (/.f64 (pow.f64 (exp.f64 (neg.f64 x)) #s(literal 2 binary64)) (.f64 #s(literal 2 binary64) (sinh.f64 x))))
(-.f64 (cosh.f64 x) (-.f64 (sinh.f64 x) (exp.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 (/.f64 (pow.f64 (exp.f64 x) #s(literal 3 binary64)) (fma.f64 (exp.f64 x) (exp.f64 x) (expm1.f64 (.f64 (neg.f64 x) #s(literal 2 binary64))))) (/.f64 (pow.f64 (exp.f64 (neg.f64 x)) #s(literal 3 binary64)) (fma.f64 (exp.f64 x) (exp.f64 x) (expm1.f64 (.f64 (neg.f64 x) #s(literal 2 binary64))))))
(+.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 (exp.f64 (neg.f64 x)) (exp.f64 x))
(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
(/.f64 (+.f64 (pow.f64 (cosh.f64 x) #s(literal 3 binary64)) (pow.f64 (sinh.f64 x) #s(literal 3 binary64))) (fma.f64 (cosh.f64 x) (cosh.f64 x) (-.f64 (.f64 (sinh.f64 x) (sinh.f64 x)) (.f64 (cosh.f64 x) (sinh.f64 x)))))
(/.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 x)))
(exp.f64 x)
(+.f64 (sinh.f64 x) (cosh.f64 x))
(+.f64 (cosh.f64 x) (sinh.f64 x))
x
(*.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) (/.f64 x #s(literal 2 binary64))) (pow.f64 (exp.f64 #s(literal -1 binary64)) (/.f64 x #s(literal 2 binary64))))
(*.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 x)))
(pow.f64 (exp.f64 #s(literal -1 binary64)) x)
(pow.f64 (exp.f64 x) #s(literal -1 binary64))
(/.f64 (-.f64 (.f64 (cosh.f64 x) (cosh.f64 x)) (.f64 (sinh.f64 (neg.f64 x)) (sinh.f64 (neg.f64 x)))) (-.f64 (cosh.f64 x) (sinh.f64 (neg.f64 x))))
(/.f64 (-.f64 (pow.f64 (cosh.f64 x) #s(literal 3 binary64)) (pow.f64 (sinh.f64 x) #s(literal 3 binary64))) (fma.f64 (cosh.f64 x) (cosh.f64 x) (fma.f64 (sinh.f64 x) (sinh.f64 x) (*.f64 (cosh.f64 x) (sinh.f64 x)))))
(/.f64 (+.f64 (pow.f64 (cosh.f64 x) #s(literal 3 binary64)) (pow.f64 (sinh.f64 (neg.f64 x)) #s(literal 3 binary64))) (fma.f64 (cosh.f64 x) (cosh.f64 x) (-.f64 (.f64 (sinh.f64 (neg.f64 x)) (sinh.f64 (neg.f64 x))) (.f64 (cosh.f64 x) (sinh.f64 (neg.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 (/.f64 #s(literal -1 binary64) (exp.f64 x)))
(-.f64 (cosh.f64 x) (sinh.f64 x))
(exp.f64 (-.f64 #s(literal 0 binary64) x))
(exp.f64 (*.f64 (log.f64 (exp.f64 #s(literal -1 binary64))) x))
(exp.f64 (neg.f64 x))
(+.f64 (sinh.f64 (neg.f64 x)) (cosh.f64 x))
(+.f64 (cosh.f64 x) (sinh.f64 (neg.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))
(neg.f64 (*.f64 #s(literal -1 binary64) (neg.f64 x)))
(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 (-.f64 (.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 (fma.f64 (.f64 #s(literal 5/24 binary64) x) x (-.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -61/720 binary64)) #s(literal 1/2 binary64))) (*.f64 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 x x (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64) #s(literal 2 binary64))))
#s(approx (+ (exp x) (exp (neg x))) (fma.f64 x x (fma.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 #s(literal 1/360 binary64) (*.f64 x x) #s(literal 1/12 binary64)) #s(literal 2 binary64))))
#s(approx (exp x) #s(literal 1 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)) #s(literal 1 binary64))
#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)))

eval10.0ms (0.4%)

Memory: -26.2MiB live, 18.4MiB allocated; 4ms collecting garbage
Compiler: Compiled 1 070 to 311 computations (70.9% saved)

prune3.0ms (0.1%)

Memory

8.4MiB live, 8.5MiB allocated; 0ms collecting garbage

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	73	5	78
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	74	5	79

Accuracy

100.0%

Counts

79 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	76.4%	(/.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))
▶	54.2%	(.f64 (/.f64 #s(literal 2 binary64) (.f64 (.f64 (cosh.f64 x) #s(literal 2 binary64)) (.f64 #s(literal 2 binary64) (sinh.f64 x)))) (*.f64 #s(literal 2 binary64) (sinh.f64 x)))
▶	53.3%	#s(approx (/ 2 (+ (exp x) (exp (neg x)))) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64)))
▶	53.9%	#s(approx (/ 2 (+ (exp x) (exp (neg x)))) #s(literal 1 binary64))

Compiler

Compiled 116 to 86 computations (25.9% saved)

series14.0ms (0.6%)

Memory

23.3MiB live, 23.3MiB allocated; 0ms collecting garbage

Counts

19 → 62

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 #s(literal 2 binary64) (.f64 (.f64 (cosh.f64 x) #s(literal 2 binary64)) (.f64 #s(literal 2 binary64) (sinh.f64 x)))) (*.f64 #s(literal 2 binary64) (sinh.f64 x)))
(/.f64 #s(literal 2 binary64) (.f64 (.f64 (cosh.f64 x) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (sinh.f64 x))))
(.f64 (.f64 (cosh.f64 x) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (sinh.f64 x)))
(*.f64 (cosh.f64 x) #s(literal 2 binary64))
(*.f64 #s(literal 2 binary64) (sinh.f64 x))
(sinh.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))
#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 (/ 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 (+ (* (* x x) -1/2) 1) #s(hole binary64 1))
#s(approx (+ (* (* x x) -1/2) 1) #s(hole binary64 (+ 1 (* -1/2 (pow x 2)))))
#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 (+ (* x x) 2) #s(hole binary64 2))
#s(approx (+ (* x x) 2) #s(hole binary64 (+ 2 (pow x 2))))
#s(approx (* (/ 2 (* (* (cosh x) 2) (* 2 (sinh x)))) (* 2 (sinh x))) #s(hole binary64 1))
#s(approx (* (/ 2 (* (* (cosh x) 2) (* 2 (sinh x)))) (* 2 (sinh x))) #s(hole binary64 (+ 1 (* -1/2 (pow x 2)))))
#s(approx (* (/ 2 (* (* (cosh x) 2) (* 2 (sinh x)))) (* 2 (sinh x))) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 5/24 (pow x 2)) 1/2)))))
#s(approx (* (/ 2 (* (* (cosh x) 2) (* 2 (sinh x)))) (* 2 (sinh x))) #s(hole binary64 (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 5/24 (* -61/720 (pow x 2)))) 1/2)))))
#s(approx (/ 2 (* (* (cosh x) 2) (* 2 (sinh x)))) #s(hole binary64 (/ 1/2 x)))
#s(approx (/ 2 (* (* (cosh x) 2) (* 2 (sinh x)))) #s(hole binary64 (/ (+ 1/2 (* -1/3 (pow x 2))) x)))
#s(approx (/ 2 (* (* (cosh x) 2) (* 2 (sinh x)))) #s(hole binary64 (/ (+ 1/2 (* (pow x 2) (- (* 7/45 (pow x 2)) 1/3))) x)))
#s(approx (/ 2 (* (* (cosh x) 2) (* 2 (sinh x)))) #s(hole binary64 (/ (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 7/45 (* -62/945 (pow x 2)))) 1/3))) x)))
#s(approx (* (* (cosh x) 2) (* 2 (sinh x))) #s(hole binary64 (* 4 x)))
#s(approx (* (* (cosh x) 2) (* 2 (sinh x))) #s(hole binary64 (* x (+ 4 (* 8/3 (pow x 2))))))
#s(approx (* (* (cosh x) 2) (* 2 (sinh x))) #s(hole binary64 (* x (+ 4 (* (pow x 2) (+ 8/3 (* 8/15 (pow x 2))))))))
#s(approx (* (* (cosh x) 2) (* 2 (sinh x))) #s(hole binary64 (* x (+ 4 (* (pow x 2) (+ 8/3 (* (pow x 2) (+ 8/15 (* 16/315 (pow x 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 (* 2 (sinh x)) #s(hole binary64 (* 2 x)))
#s(approx (* 2 (sinh x)) #s(hole binary64 (* x (+ 2 (* 1/3 (pow x 2))))))
#s(approx (* 2 (sinh x)) #s(hole binary64 (* x (+ 2 (* (pow x 2) (+ 1/3 (* 1/60 (pow x 2))))))))
#s(approx (* 2 (sinh x)) #s(hole binary64 (* x (+ 2 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/60 (* 1/2520 (pow x 2))))))))))
#s(approx (sinh x) #s(hole binary64 x))
#s(approx (sinh x) #s(hole binary64 (* x (+ 1 (* 1/6 (pow x 2))))))
#s(approx (sinh x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2))))))))
#s(approx (sinh x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (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)))
#s(approx (+ (* x x) 2) #s(hole binary64 (* (pow x 2) (+ 1 (* 2 (/ 1 (pow x 2)))))))
#s(approx (* (/ 2 (* (* (cosh x) 2) (* 2 (sinh x)))) (* 2 (sinh x))) #s(hole binary64 (/ 2 (+ (exp x) (/ 1 (exp x))))))
#s(approx (/ 2 (* (* (cosh x) 2) (* 2 (sinh x)))) #s(hole binary64 (/ 2 (* (+ (exp x) (/ 1 (exp x))) (- (exp x) (/ 1 (exp x)))))))
#s(approx (* (* (cosh x) 2) (* 2 (sinh x))) #s(hole binary64 (* (+ (exp x) (/ 1 (exp x))) (- (exp x) (/ 1 (exp x))))))
#s(approx (* (cosh x) 2) #s(hole binary64 (+ (exp x) (/ 1 (exp x)))))
#s(approx (* 2 (sinh x)) #s(hole binary64 (- (exp x) (/ 1 (exp x)))))
#s(approx (sinh 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 (* -1 x))))))
#s(approx (+ (exp x) (exp (neg x))) #s(hole binary64 (+ (exp x) (exp (* -1 x)))))

Calls

3 calls:

Time	Variable		Point	Expression
6.0ms	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) (* (/ 2 (* (* (cosh x) 2) (* 2 (sinh x)))) (* 2 (sinh x))) (/ 2 (* (* (cosh x) 2) (* 2 (sinh x)))) (* (* (cosh x) 2) (* 2 (sinh x))) (* (cosh x) 2) (* 2 (sinh x)) (sinh x))
5.0ms	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) (* (/ 2 (* (* (cosh x) 2) (* 2 (sinh x)))) (* 2 (sinh x))) (/ 2 (* (* (cosh x) 2) (* 2 (sinh x)))) (* (* (cosh x) 2) (* 2 (sinh x))) (* (cosh x) 2) (* 2 (sinh x)) (sinh x))
3.0ms	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) (* (/ 2 (* (* (cosh x) 2) (* 2 (sinh x)))) (* 2 (sinh x))) (/ 2 (* (* (cosh x) 2) (* 2 (sinh x)))) (* (* (cosh x) 2) (* 2 (sinh x))) (* (cosh x) 2) (* 2 (sinh x)) (sinh x))

Time

Variable

Point

Expression

6.0ms

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

5.0ms

-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) (* (/ 2 (* (* (cosh x) 2) (* 2 (sinh x)))) (* 2 (sinh x))) (/ 2 (* (* (cosh x) 2) (* 2 (sinh x)))) (* (* (cosh x) 2) (* 2 (sinh x))) (* (cosh x) 2) (* 2 (sinh x)) (sinh x))

3.0ms

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

rewrite233.0ms (9.7%)

Memory

-8.3MiB live, 204.9MiB allocated; 37ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	235	1156
0	255	1073
1	1261	1073
0	8231	1025

Stop Event

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

Counts

81 → 305

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 #s(literal 2 binary64) (.f64 (.f64 (cosh.f64 x) #s(literal 2 binary64)) (.f64 #s(literal 2 binary64) (sinh.f64 x)))) (*.f64 #s(literal 2 binary64) (sinh.f64 x)))
(/.f64 #s(literal 2 binary64) (.f64 (.f64 (cosh.f64 x) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (sinh.f64 x))))
(.f64 (.f64 (cosh.f64 x) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (sinh.f64 x)))
(*.f64 (cosh.f64 x) #s(literal 2 binary64))
(*.f64 #s(literal 2 binary64) (sinh.f64 x))
(sinh.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))
#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 (/ 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 (+ (* (* x x) -1/2) 1) #s(hole binary64 1))
#s(approx (+ (* (* x x) -1/2) 1) #s(hole binary64 (+ 1 (* -1/2 (pow x 2)))))
#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 (+ (* x x) 2) #s(hole binary64 2))
#s(approx (+ (* x x) 2) #s(hole binary64 (+ 2 (pow x 2))))
#s(approx (* (/ 2 (* (* (cosh x) 2) (* 2 (sinh x)))) (* 2 (sinh x))) #s(hole binary64 1))
#s(approx (* (/ 2 (* (* (cosh x) 2) (* 2 (sinh x)))) (* 2 (sinh x))) #s(hole binary64 (+ 1 (* -1/2 (pow x 2)))))
#s(approx (* (/ 2 (* (* (cosh x) 2) (* 2 (sinh x)))) (* 2 (sinh x))) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 5/24 (pow x 2)) 1/2)))))
#s(approx (* (/ 2 (* (* (cosh x) 2) (* 2 (sinh x)))) (* 2 (sinh x))) #s(hole binary64 (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 5/24 (* -61/720 (pow x 2)))) 1/2)))))
#s(approx (/ 2 (* (* (cosh x) 2) (* 2 (sinh x)))) #s(hole binary64 (/ 1/2 x)))
#s(approx (/ 2 (* (* (cosh x) 2) (* 2 (sinh x)))) #s(hole binary64 (/ (+ 1/2 (* -1/3 (pow x 2))) x)))
#s(approx (/ 2 (* (* (cosh x) 2) (* 2 (sinh x)))) #s(hole binary64 (/ (+ 1/2 (* (pow x 2) (- (* 7/45 (pow x 2)) 1/3))) x)))
#s(approx (/ 2 (* (* (cosh x) 2) (* 2 (sinh x)))) #s(hole binary64 (/ (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 7/45 (* -62/945 (pow x 2)))) 1/3))) x)))
#s(approx (* (* (cosh x) 2) (* 2 (sinh x))) #s(hole binary64 (* 4 x)))
#s(approx (* (* (cosh x) 2) (* 2 (sinh x))) #s(hole binary64 (* x (+ 4 (* 8/3 (pow x 2))))))
#s(approx (* (* (cosh x) 2) (* 2 (sinh x))) #s(hole binary64 (* x (+ 4 (* (pow x 2) (+ 8/3 (* 8/15 (pow x 2))))))))
#s(approx (* (* (cosh x) 2) (* 2 (sinh x))) #s(hole binary64 (* x (+ 4 (* (pow x 2) (+ 8/3 (* (pow x 2) (+ 8/15 (* 16/315 (pow x 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 (* 2 (sinh x)) #s(hole binary64 (* 2 x)))
#s(approx (* 2 (sinh x)) #s(hole binary64 (* x (+ 2 (* 1/3 (pow x 2))))))
#s(approx (* 2 (sinh x)) #s(hole binary64 (* x (+ 2 (* (pow x 2) (+ 1/3 (* 1/60 (pow x 2))))))))
#s(approx (* 2 (sinh x)) #s(hole binary64 (* x (+ 2 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/60 (* 1/2520 (pow x 2))))))))))
#s(approx (sinh x) #s(hole binary64 x))
#s(approx (sinh x) #s(hole binary64 (* x (+ 1 (* 1/6 (pow x 2))))))
#s(approx (sinh x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2))))))))
#s(approx (sinh x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (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)))
#s(approx (+ (* x x) 2) #s(hole binary64 (* (pow x 2) (+ 1 (* 2 (/ 1 (pow x 2)))))))
#s(approx (* (/ 2 (* (* (cosh x) 2) (* 2 (sinh x)))) (* 2 (sinh x))) #s(hole binary64 (/ 2 (+ (exp x) (/ 1 (exp x))))))
#s(approx (/ 2 (* (* (cosh x) 2) (* 2 (sinh x)))) #s(hole binary64 (/ 2 (* (+ (exp x) (/ 1 (exp x))) (- (exp x) (/ 1 (exp x)))))))
#s(approx (* (* (cosh x) 2) (* 2 (sinh x))) #s(hole binary64 (* (+ (exp x) (/ 1 (exp x))) (- (exp x) (/ 1 (exp x))))))
#s(approx (* (cosh x) 2) #s(hole binary64 (+ (exp x) (/ 1 (exp x)))))
#s(approx (* 2 (sinh x)) #s(hole binary64 (- (exp x) (/ 1 (exp x)))))
#s(approx (sinh 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 (* -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 -1/2 binary64)) (pow.f64 (cosh.f64 x) #s(literal -1/2 binary64)))
(pow.f64 (cosh.f64 x) #s(literal -1 binary64))
(/.f64 #s(literal -1 binary64) (neg.f64 (cosh.f64 x)))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (cosh.f64 x))))
(/.f64 #s(literal 1 binary64) (pow.f64 (cosh.f64 x) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (cosh.f64 x))
(neg.f64 (/.f64 #s(literal -1 binary64) (cosh.f64 x)))
(neg.f64 (/.f64 #s(literal 1 binary64) (neg.f64 (cosh.f64 x))))
(exp.f64 (*.f64 (log.f64 (cosh.f64 x)) #s(literal -1 binary64)))
#s(literal 1 binary64)
(*.f64 (/.f64 (cosh.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 (cosh.f64 x) #s(literal 1 binary64)))
(/.f64 (*.f64 #s(literal -2 binary64) (cosh.f64 x)) #s(literal -2 binary64))
(/.f64 (*.f64 (cosh.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64))
(cosh.f64 (neg.f64 (neg.f64 x)))
(cosh.f64 (neg.f64 x))
(cosh.f64 x)
(+.f64 (/.f64 (exp.f64 (neg.f64 x)) #s(literal 2 binary64)) (/.f64 (exp.f64 x) #s(literal 2 binary64)))
(+.f64 (/.f64 (exp.f64 x) #s(literal 2 binary64)) (/.f64 (exp.f64 (neg.f64 x)) #s(literal 2 binary64)))
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)))
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/8 binary64))) (+.f64 #s(literal 1 binary64) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/4 binary64) (.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (.f64 x x))))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/4 binary64) #s(literal -1 binary64))) (neg.f64 (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal -1 binary64))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/4 binary64)))) (neg.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 x x) #s(literal 1 binary64))))
(/.f64 (neg.f64 (fma.f64 #s(literal -1/8 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64))) (neg.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/4 binary64) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (*.f64 x x) #s(literal -1/2 binary64)) #s(literal 1 binary64))))))
(/.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/8 binary64) (pow.f64 x #s(literal 6 binary64))))) (neg.f64 (+.f64 #s(literal 1 binary64) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/4 binary64) (.f64 #s(literal -1 binary64) (.f64 (.f64 x x) #s(literal -1/2 binary64)))))))
(/.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/4 binary64) #s(literal -1 binary64)) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal -1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/4 binary64))) (fma.f64 #s(literal 1/2 binary64) (.f64 x x) #s(literal 1 binary64)))
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(+.f64 (exp.f64 (neg.f64 x)) (exp.f64 (neg.f64 (neg.f64 x))))
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(sinh.f64 x)
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#s(approx (/ 1 (cosh x)) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64)))
#s(approx (/ 1 (cosh x)) (fma.f64 (-.f64 (.f64 #s(literal 5/24 binary64) (.f64 x x)) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))
#s(approx (/ 1 (cosh x)) (fma.f64 (-.f64 (.f64 (fma.f64 #s(literal -61/720 binary64) (.f64 x x) #s(literal 5/24 binary64)) (.f64 x x)) #s(literal 1/2 binary64)) (.f64 x x) #s(literal 1 binary64)))
#s(approx (cosh 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 (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)) (*.f64 x x) #s(literal 1 binary64)))
#s(approx x x)
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#s(approx (+ (* (* x x) -1/2) 1) #s(literal 1 binary64))
#s(approx (+ (* (* x x) -1/2) 1) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64)))
#s(approx (* x x) (*.f64 x x))
#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)))
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#s(approx (+ (* x x) 2) #s(literal 2 binary64))
#s(approx (+ (* x x) 2) (fma.f64 x x #s(literal 2 binary64)))
#s(approx (* (/ 2 (* (* (cosh x) 2) (* 2 (sinh x)))) (* 2 (sinh x))) #s(literal 1 binary64))
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#s(approx (/ 2 (* (* (cosh x) 2) (* 2 (sinh x)))) (/.f64 #s(literal 1/2 binary64) x))
#s(approx (/ 2 (* (* (cosh x) 2) (* 2 (sinh x)))) (/.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 x x) #s(literal 1/2 binary64)) x))
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#s(approx (* (* (cosh x) 2) (* 2 (sinh x))) (*.f64 #s(literal 4 binary64) x))
#s(approx (* (* (cosh x) 2) (* 2 (sinh x))) (.f64 (fma.f64 #s(literal 8/3 binary64) (.f64 x x) #s(literal 4 binary64)) x))
#s(approx (* (* (cosh x) 2) (* 2 (sinh x))) (.f64 (fma.f64 (fma.f64 #s(literal 8/15 binary64) (.f64 x x) #s(literal 8/3 binary64)) (*.f64 x x) #s(literal 4 binary64)) x))
#s(approx (* (* (cosh x) 2) (* 2 (sinh x))) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 16/315 binary64) (.f64 x x) #s(literal 8/15 binary64)) (.f64 x x) #s(literal 8/3 binary64)) (.f64 x x) #s(literal 4 binary64)) x))
#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 (fma.f64 (fma.f64 #s(literal 1/360 binary64) (.f64 x x) #s(literal 1/12 binary64)) (.f64 x x) #s(literal 1 binary64)) (*.f64 x x) #s(literal 2 binary64)))
#s(approx (* 2 (sinh x)) (*.f64 #s(literal 2 binary64) x))
#s(approx (* 2 (sinh x)) (.f64 (fma.f64 #s(literal 1/3 binary64) (.f64 x x) #s(literal 2 binary64)) x))
#s(approx (* 2 (sinh x)) (.f64 (fma.f64 (fma.f64 #s(literal 1/60 binary64) (.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x))
#s(approx (* 2 (sinh x)) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (.f64 x x) #s(literal 1/60 binary64)) (.f64 x x) #s(literal 1/3 binary64)) (.f64 x x) #s(literal 2 binary64)) x))
#s(approx (sinh x) x)
#s(approx (sinh x) (.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 x x) #s(literal 1 binary64)) x))
#s(approx (sinh x) (.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 x x) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1 binary64)) x))
#s(approx (sinh x) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (.f64 x x) #s(literal 1/120 binary64)) (.f64 x x) #s(literal 1/6 binary64)) (.f64 x x) #s(literal 1 binary64)) x))
#s(approx (/ 1 (cosh x)) (*.f64 (/.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 1/2 binary64)))
#s(approx (cosh x) (.f64 #s(literal 1/2 binary64) (.f64 (cosh.f64 x) #s(literal 2 binary64))))
#s(approx (/ 2 (+ (exp x) (exp (neg x)))) (*.f64 (/.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 1/2 binary64)))
#s(approx (+ (* (* x x) -1/2) 1) (.f64 (.f64 x x) #s(literal -1/2 binary64)))
#s(approx (+ (* (* x x) -1/2) 1) (.f64 (-.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/2 binary64)) (.f64 x x)))
#s(approx (* (cosh x) 2) (*.f64 (cosh.f64 x) #s(literal 2 binary64)))
#s(approx (+ (* x x) 2) (*.f64 x x))
#s(approx (+ (* x x) 2) (.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 2 binary64) #s(literal 1 binary64)) (.f64 x x)))
#s(approx (* (/ 2 (* (* (cosh x) 2) (* 2 (sinh x)))) (* 2 (sinh x))) (*.f64 (/.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 1/2 binary64)))
#s(approx (/ 2 (* (* (cosh x) 2) (* 2 (sinh x)))) (/.f64 (.f64 (/.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 1/2 binary64)) (.f64 (sinh.f64 x) #s(literal 2 binary64))))
#s(approx (* (* (cosh x) 2) (* 2 (sinh x))) (.f64 (.f64 (sinh.f64 x) #s(literal 2 binary64)) (*.f64 (cosh.f64 x) #s(literal 2 binary64))))
#s(approx (* (cosh x) 2) (*.f64 (cosh.f64 x) #s(literal 2 binary64)))
#s(approx (* 2 (sinh x)) (*.f64 (sinh.f64 x) #s(literal 2 binary64)))
#s(approx (sinh x) (.f64 (.f64 (sinh.f64 x) #s(literal 2 binary64)) #s(literal 1/2 binary64)))
#s(approx (/ 2 (+ (exp x) (exp (neg x)))) (*.f64 (/.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 1/2 binary64)))
#s(approx (* (cosh x) 2) (*.f64 (cosh.f64 x) #s(literal 2 binary64)))

eval47.0ms (1.9%)

Memory: 40.1MiB live, 90.1MiB allocated; 25ms collecting garbage
Compiler: Compiled 7 686 to 1 253 computations (83.7% saved)

prune15.0ms (0.6%)

Memory

-15.8MiB live, 22.9MiB allocated; 14ms collecting garbage

Pruning

9 alts after pruning (4 fresh and 5 done)

	Pruned	Kept	Total
New	341	4	345
Fresh	0	0	0
Picked	0	5	5
Done	0	0	0
Total	341	9	350

Accuracy

100.0%

Counts

350 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	76.4%	(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 x x #s(literal 2 binary64))))
▶	26.1%	(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) #s(approx (+ (* x x) 2) (*.f64 x x))))
▶	89.4%	(/.f64 #s(literal 2 binary64) #s(approx (* (cosh x) 2) (fma.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)) (*.f64 x x) #s(literal 2 binary64))))
▶	86.1%	(/.f64 #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))))
✓	100.0%	(/.f64 #s(literal 1 binary64) (cosh.f64 x))
▶	100.0%	(*.f64 (pow.f64 (cosh.f64 x) #s(literal -1/2 binary64)) (pow.f64 (cosh.f64 x) #s(literal -1/2 binary64)))
✓	54.2%	(.f64 (/.f64 #s(literal 2 binary64) (.f64 (.f64 (cosh.f64 x) #s(literal 2 binary64)) (.f64 #s(literal 2 binary64) (sinh.f64 x)))) (*.f64 #s(literal 2 binary64) (sinh.f64 x)))
✓	53.3%	#s(approx (/ 2 (+ (exp x) (exp (neg x)))) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64)))
✓	53.9%	#s(approx (/ 2 (+ (exp x) (exp (neg x)))) #s(literal 1 binary64))

Compiler

Compiled 126 to 87 computations (31% saved)

series12.0ms (0.5%)

Memory

-17.5MiB live, 28.7MiB allocated; 3ms collecting garbage

Counts

22 → 71

Calls

Call 1

Inputs
(*.f64 (pow.f64 (cosh.f64 x) #s(literal -1/2 binary64)) (pow.f64 (cosh.f64 x) #s(literal -1/2 binary64)))
(pow.f64 (cosh.f64 x) #s(literal -1/2 binary64))
(cosh.f64 x)
x
#s(literal -1/2 binary64)
(/.f64 #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(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)))
(fma.f64 (fma.f64 #s(literal 1/12 binary64) (.f64 x x) #s(literal 1 binary64)) (.f64 x x) #s(literal 2 binary64))
(fma.f64 #s(literal 1/12 binary64) (*.f64 x x) #s(literal 1 binary64))
#s(literal 1/12 binary64)
(*.f64 x x)
#s(literal 1 binary64)
(/.f64 #s(literal 2 binary64) #s(approx (* (cosh x) 2) (fma.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)) (*.f64 x x) #s(literal 2 binary64))))
#s(approx (* (cosh x) 2) (fma.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)) (*.f64 x x) #s(literal 2 binary64)))
(fma.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)) (*.f64 x x) #s(literal 2 binary64))
(fma.f64 (fma.f64 #s(literal 1/360 binary64) (.f64 x x) #s(literal 1/12 binary64)) (.f64 x x) #s(literal 1 binary64))
(fma.f64 #s(literal 1/360 binary64) (*.f64 x x) #s(literal 1/12 binary64))
#s(literal 1/360 binary64)
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) #s(approx (+ (* x x) 2) (*.f64 x x))))
#s(approx (+ (exp x) (exp (neg x))) #s(approx (+ (* x x) 2) (*.f64 x x)))
#s(approx (+ (* x x) 2) (*.f64 x x))

Outputs
#s(approx (* (pow (cosh x) -1/2) (pow (cosh x) -1/2)) #s(hole binary64 1))
#s(approx (* (pow (cosh x) -1/2) (pow (cosh x) -1/2)) #s(hole binary64 (+ 1 (* -1/2 (pow x 2)))))
#s(approx (* (pow (cosh x) -1/2) (pow (cosh x) -1/2)) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 5/24 (pow x 2)) 1/2)))))
#s(approx (* (pow (cosh x) -1/2) (pow (cosh x) -1/2)) #s(hole binary64 (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 5/24 (* -61/720 (pow x 2)))) 1/2)))))
#s(approx (pow (cosh x) -1/2) #s(hole binary64 1))
#s(approx (pow (cosh x) -1/2) #s(hole binary64 (+ 1 (* -1/4 (pow x 2)))))
#s(approx (pow (cosh x) -1/2) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 7/96 (pow x 2)) 1/4)))))
#s(approx (pow (cosh x) -1/2) #s(hole binary64 (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 7/96 (* -139/5760 (pow x 2)))) 1/4)))))
#s(approx (cosh x) #s(hole binary64 1))
#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 (/ 2 (* (cosh x) 2)) #s(hole binary64 1))
#s(approx (/ 2 (* (cosh x) 2)) #s(hole binary64 (+ 1 (* -1/2 (pow x 2)))))
#s(approx (/ 2 (* (cosh x) 2)) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 5/24 (pow x 2)) 1/2)))))
#s(approx (/ 2 (* (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 (+ (* (+ (* 1/12 (* x x)) 1) (* x x)) 2) #s(hole binary64 2))
#s(approx (+ (* (+ (* 1/12 (* x x)) 1) (* x x)) 2) #s(hole binary64 (+ 2 (pow x 2))))
#s(approx (+ (* (+ (* 1/12 (* x x)) 1) (* x x)) 2) #s(hole binary64 (+ 2 (* (pow x 2) (+ 1 (* 1/12 (pow x 2)))))))
#s(approx (+ (* 1/12 (* x x)) 1) #s(hole binary64 1))
#s(approx (+ (* 1/12 (* x x)) 1) #s(hole binary64 (+ 1 (* 1/12 (pow x 2)))))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx (+ (* (+ (* (+ (* 1/360 (* x x)) 1/12) (* x x)) 1) (* x x)) 2) #s(hole binary64 2))
#s(approx (+ (* (+ (* (+ (* 1/360 (* x x)) 1/12) (* x x)) 1) (* x x)) 2) #s(hole binary64 (+ 2 (pow x 2))))
#s(approx (+ (* (+ (* (+ (* 1/360 (* x x)) 1/12) (* x x)) 1) (* x x)) 2) #s(hole binary64 (+ 2 (* (pow x 2) (+ 1 (* 1/12 (pow x 2)))))))
#s(approx (+ (* (+ (* (+ (* 1/360 (* x x)) 1/12) (* x x)) 1) (* x x)) 2) #s(hole binary64 (+ 2 (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2)))))))))
#s(approx (+ (* (+ (* 1/360 (* x x)) 1/12) (* x x)) 1) #s(hole binary64 1))
#s(approx (+ (* (+ (* 1/360 (* x x)) 1/12) (* x x)) 1) #s(hole binary64 (+ 1 (* 1/12 (pow x 2)))))
#s(approx (+ (* (+ (* 1/360 (* x x)) 1/12) (* x x)) 1) #s(hole binary64 (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2)))))))
#s(approx (+ (* 1/360 (* x x)) 1/12) #s(hole binary64 1/12))
#s(approx (+ (* 1/360 (* x x)) 1/12) #s(hole binary64 (+ 1/12 (* 1/360 (pow x 2)))))
#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 (+ (* x x) 2) #s(hole binary64 2))
#s(approx (+ (* x x) 2) #s(hole binary64 (+ 2 (pow x 2))))
#s(approx (* (pow (cosh x) -1/2) (pow (cosh x) -1/2)) #s(hole binary64 (/ 2 (+ (exp x) (/ 1 (exp x))))))
#s(approx (pow (cosh x) -1/2) #s(hole binary64 (* (sqrt 2) (sqrt (/ 1 (+ (exp x) (/ 1 (exp x))))))))
#s(approx (cosh x) #s(hole binary64 (* 1/2 (+ (exp x) (/ 1 (exp x))))))
#s(approx (/ 2 (* (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 (+ (* (+ (* 1/12 (* x x)) 1) (* x x)) 2) #s(hole binary64 (* 1/12 (pow x 4))))
#s(approx (+ (* (+ (* 1/12 (* x x)) 1) (* x x)) 2) #s(hole binary64 (* (pow x 4) (+ 1/12 (/ 1 (pow x 2))))))
#s(approx (+ (* (+ (* 1/12 (* x x)) 1) (* x x)) 2) #s(hole binary64 (* (pow x 4) (+ 1/12 (+ (/ 1 (pow x 2)) (/ 2 (pow x 4)))))))
#s(approx (+ (* 1/12 (* x x)) 1) #s(hole binary64 (* 1/12 (pow x 2))))
#s(approx (+ (* 1/12 (* x x)) 1) #s(hole binary64 (* (pow x 2) (+ 1/12 (/ 1 (pow x 2))))))
#s(approx (+ (* (+ (* (+ (* 1/360 (* x x)) 1/12) (* x x)) 1) (* x x)) 2) #s(hole binary64 (* 1/360 (pow x 6))))
#s(approx (+ (* (+ (* (+ (* 1/360 (* x x)) 1/12) (* x x)) 1) (* x x)) 2) #s(hole binary64 (* (pow x 6) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))))
#s(approx (+ (* (+ (* (+ (* 1/360 (* x x)) 1/12) (* x x)) 1) (* x x)) 2) #s(hole binary64 (* (pow x 6) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))))
#s(approx (+ (* (+ (* (+ (* 1/360 (* x x)) 1/12) (* x x)) 1) (* x x)) 2) #s(hole binary64 (* (pow x 6) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (+ (/ 1 (pow x 4)) (* 2 (/ 1 (pow x 6)))))))))
#s(approx (+ (* (+ (* 1/360 (* x x)) 1/12) (* x x)) 1) #s(hole binary64 (* 1/360 (pow x 4))))
#s(approx (+ (* (+ (* 1/360 (* x x)) 1/12) (* x x)) 1) #s(hole binary64 (* (pow x 4) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))))
#s(approx (+ (* (+ (* 1/360 (* x x)) 1/12) (* x x)) 1) #s(hole binary64 (* (pow x 4) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))))
#s(approx (+ (* 1/360 (* x x)) 1/12) #s(hole binary64 (* 1/360 (pow x 2))))
#s(approx (+ (* 1/360 (* x x)) 1/12) #s(hole binary64 (* (pow x 2) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))))
#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 (+ (* x x) 2) #s(hole binary64 (pow x 2)))
#s(approx (+ (* x x) 2) #s(hole binary64 (* (pow x 2) (+ 1 (* 2 (/ 1 (pow 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	((* (pow (cosh x) -1/2) (pow (cosh x) -1/2)) (pow (cosh x) -1/2) (cosh x) x -1/2 (/ 2 (* (cosh x) 2)) 2 (* (cosh x) 2) (+ (* (+ (* 1/12 (* x x)) 1) (* x x)) 2) (+ (* 1/12 (* x x)) 1) 1/12 (* x x) 1 (/ 2 (* (cosh x) 2)) (* (cosh x) 2) (+ (* (+ (* (+ (* 1/360 (* x x)) 1/12) (* x x)) 1) (* x x)) 2) (+ (* (+ (* 1/360 (* x x)) 1/12) (* x x)) 1) (+ (* 1/360 (* x x)) 1/12) 1/360 (/ 2 (+ (exp x) (exp (neg x)))) (+ (exp x) (exp (neg x))) (+ (* x x) 2))
3.0ms	x	@	-inf	((* (pow (cosh x) -1/2) (pow (cosh x) -1/2)) (pow (cosh x) -1/2) (cosh x) x -1/2 (/ 2 (* (cosh x) 2)) 2 (* (cosh x) 2) (+ (* (+ (* 1/12 (* x x)) 1) (* x x)) 2) (+ (* 1/12 (* x x)) 1) 1/12 (* x x) 1 (/ 2 (* (cosh x) 2)) (* (cosh x) 2) (+ (* (+ (* (+ (* 1/360 (* x x)) 1/12) (* x x)) 1) (* x x)) 2) (+ (* (+ (* 1/360 (* x x)) 1/12) (* x x)) 1) (+ (* 1/360 (* x x)) 1/12) 1/360 (/ 2 (+ (exp x) (exp (neg x)))) (+ (exp x) (exp (neg x))) (+ (* x x) 2))
2.0ms	x	@	0	((* (pow (cosh x) -1/2) (pow (cosh x) -1/2)) (pow (cosh x) -1/2) (cosh x) x -1/2 (/ 2 (* (cosh x) 2)) 2 (* (cosh x) 2) (+ (* (+ (* 1/12 (* x x)) 1) (* x x)) 2) (+ (* 1/12 (* x x)) 1) 1/12 (* x x) 1 (/ 2 (* (cosh x) 2)) (* (cosh x) 2) (+ (* (+ (* (+ (* 1/360 (* x x)) 1/12) (* x x)) 1) (* x x)) 2) (+ (* (+ (* 1/360 (* x x)) 1/12) (* x x)) 1) (+ (* 1/360 (* x x)) 1/12) 1/360 (/ 2 (+ (exp x) (exp (neg x)))) (+ (exp x) (exp (neg x))) (+ (* x x) 2))

Time

Variable

Point

Expression

4.0ms

inf

((* (pow (cosh x) -1/2) (pow (cosh x) -1/2)) (pow (cosh x) -1/2) (cosh x) x -1/2 (/ 2 (* (cosh x) 2)) 2 (* (cosh x) 2) (+ (* (+ (* 1/12 (* x x)) 1) (* x x)) 2) (+ (* 1/12 (* x x)) 1) 1/12 (* x x) 1 (/ 2 (* (cosh x) 2)) (* (cosh x) 2) (+ (* (+ (* (+ (* 1/360 (* x x)) 1/12) (* x x)) 1) (* x x)) 2) (+ (* (+ (* 1/360 (* x x)) 1/12) (* x x)) 1) (+ (* 1/360 (* x x)) 1/12) 1/360 (/ 2 (+ (exp x) (exp (neg x)))) (+ (exp x) (exp (neg x))) (+ (* x x) 2))

3.0ms

-inf

((* (pow (cosh x) -1/2) (pow (cosh x) -1/2)) (pow (cosh x) -1/2) (cosh x) x -1/2 (/ 2 (* (cosh x) 2)) 2 (* (cosh x) 2) (+ (* (+ (* 1/12 (* x x)) 1) (* x x)) 2) (+ (* 1/12 (* x x)) 1) 1/12 (* x x) 1 (/ 2 (* (cosh x) 2)) (* (cosh x) 2) (+ (* (+ (* (+ (* 1/360 (* x x)) 1/12) (* x x)) 1) (* x x)) 2) (+ (* (+ (* 1/360 (* x x)) 1/12) (* x x)) 1) (+ (* 1/360 (* x x)) 1/12) 1/360 (/ 2 (+ (exp x) (exp (neg x)))) (+ (exp x) (exp (neg x))) (+ (* x x) 2))

2.0ms

((* (pow (cosh x) -1/2) (pow (cosh x) -1/2)) (pow (cosh x) -1/2) (cosh x) x -1/2 (/ 2 (* (cosh x) 2)) 2 (* (cosh x) 2) (+ (* (+ (* 1/12 (* x x)) 1) (* x x)) 2) (+ (* 1/12 (* x x)) 1) 1/12 (* x x) 1 (/ 2 (* (cosh x) 2)) (* (cosh x) 2) (+ (* (+ (* (+ (* 1/360 (* x x)) 1/12) (* x x)) 1) (* x x)) 2) (+ (* (+ (* 1/360 (* x x)) 1/12) (* x x)) 1) (+ (* 1/360 (* x x)) 1/12) 1/360 (/ 2 (+ (exp x) (exp (neg x)))) (+ (exp x) (exp (neg x))) (+ (* x x) 2))

rewrite136.0ms (5.7%)

Memory

15.2MiB live, 115.4MiB allocated; 46ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	219	1448
0	242	1314
0	1117	1272

Stop Event

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

Counts

93 → 155

Calls

Call 1

Inputs
(*.f64 (pow.f64 (cosh.f64 x) #s(literal -1/2 binary64)) (pow.f64 (cosh.f64 x) #s(literal -1/2 binary64)))
(pow.f64 (cosh.f64 x) #s(literal -1/2 binary64))
(cosh.f64 x)
x
#s(literal -1/2 binary64)
(/.f64 #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(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)))
(fma.f64 (fma.f64 #s(literal 1/12 binary64) (.f64 x x) #s(literal 1 binary64)) (.f64 x x) #s(literal 2 binary64))
(fma.f64 #s(literal 1/12 binary64) (*.f64 x x) #s(literal 1 binary64))
#s(literal 1/12 binary64)
(*.f64 x x)
#s(literal 1 binary64)
(/.f64 #s(literal 2 binary64) #s(approx (* (cosh x) 2) (fma.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)) (*.f64 x x) #s(literal 2 binary64))))
#s(approx (* (cosh x) 2) (fma.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)) (*.f64 x x) #s(literal 2 binary64)))
(fma.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)) (*.f64 x x) #s(literal 2 binary64))
(fma.f64 (fma.f64 #s(literal 1/360 binary64) (.f64 x x) #s(literal 1/12 binary64)) (.f64 x x) #s(literal 1 binary64))
(fma.f64 #s(literal 1/360 binary64) (*.f64 x x) #s(literal 1/12 binary64))
#s(literal 1/360 binary64)
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) #s(approx (+ (* x x) 2) (*.f64 x x))))
#s(approx (+ (exp x) (exp (neg x))) #s(approx (+ (* x x) 2) (*.f64 x x)))
#s(approx (+ (* x x) 2) (*.f64 x x))
#s(approx (* (pow (cosh x) -1/2) (pow (cosh x) -1/2)) #s(hole binary64 1))
#s(approx (* (pow (cosh x) -1/2) (pow (cosh x) -1/2)) #s(hole binary64 (+ 1 (* -1/2 (pow x 2)))))
#s(approx (* (pow (cosh x) -1/2) (pow (cosh x) -1/2)) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 5/24 (pow x 2)) 1/2)))))
#s(approx (* (pow (cosh x) -1/2) (pow (cosh x) -1/2)) #s(hole binary64 (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 5/24 (* -61/720 (pow x 2)))) 1/2)))))
#s(approx (pow (cosh x) -1/2) #s(hole binary64 1))
#s(approx (pow (cosh x) -1/2) #s(hole binary64 (+ 1 (* -1/4 (pow x 2)))))
#s(approx (pow (cosh x) -1/2) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 7/96 (pow x 2)) 1/4)))))
#s(approx (pow (cosh x) -1/2) #s(hole binary64 (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 7/96 (* -139/5760 (pow x 2)))) 1/4)))))
#s(approx (cosh x) #s(hole binary64 1))
#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 (/ 2 (* (cosh x) 2)) #s(hole binary64 1))
#s(approx (/ 2 (* (cosh x) 2)) #s(hole binary64 (+ 1 (* -1/2 (pow x 2)))))
#s(approx (/ 2 (* (cosh x) 2)) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 5/24 (pow x 2)) 1/2)))))
#s(approx (/ 2 (* (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 (+ (* (+ (* 1/12 (* x x)) 1) (* x x)) 2) #s(hole binary64 2))
#s(approx (+ (* (+ (* 1/12 (* x x)) 1) (* x x)) 2) #s(hole binary64 (+ 2 (pow x 2))))
#s(approx (+ (* (+ (* 1/12 (* x x)) 1) (* x x)) 2) #s(hole binary64 (+ 2 (* (pow x 2) (+ 1 (* 1/12 (pow x 2)))))))
#s(approx (+ (* 1/12 (* x x)) 1) #s(hole binary64 1))
#s(approx (+ (* 1/12 (* x x)) 1) #s(hole binary64 (+ 1 (* 1/12 (pow x 2)))))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx (+ (* (+ (* (+ (* 1/360 (* x x)) 1/12) (* x x)) 1) (* x x)) 2) #s(hole binary64 2))
#s(approx (+ (* (+ (* (+ (* 1/360 (* x x)) 1/12) (* x x)) 1) (* x x)) 2) #s(hole binary64 (+ 2 (pow x 2))))
#s(approx (+ (* (+ (* (+ (* 1/360 (* x x)) 1/12) (* x x)) 1) (* x x)) 2) #s(hole binary64 (+ 2 (* (pow x 2) (+ 1 (* 1/12 (pow x 2)))))))
#s(approx (+ (* (+ (* (+ (* 1/360 (* x x)) 1/12) (* x x)) 1) (* x x)) 2) #s(hole binary64 (+ 2 (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2)))))))))
#s(approx (+ (* (+ (* 1/360 (* x x)) 1/12) (* x x)) 1) #s(hole binary64 1))
#s(approx (+ (* (+ (* 1/360 (* x x)) 1/12) (* x x)) 1) #s(hole binary64 (+ 1 (* 1/12 (pow x 2)))))
#s(approx (+ (* (+ (* 1/360 (* x x)) 1/12) (* x x)) 1) #s(hole binary64 (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2)))))))
#s(approx (+ (* 1/360 (* x x)) 1/12) #s(hole binary64 1/12))
#s(approx (+ (* 1/360 (* x x)) 1/12) #s(hole binary64 (+ 1/12 (* 1/360 (pow x 2)))))
#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 (+ (* x x) 2) #s(hole binary64 2))
#s(approx (+ (* x x) 2) #s(hole binary64 (+ 2 (pow x 2))))
#s(approx (* (pow (cosh x) -1/2) (pow (cosh x) -1/2)) #s(hole binary64 (/ 2 (+ (exp x) (/ 1 (exp x))))))
#s(approx (pow (cosh x) -1/2) #s(hole binary64 (* (sqrt 2) (sqrt (/ 1 (+ (exp x) (/ 1 (exp x))))))))
#s(approx (cosh x) #s(hole binary64 (* 1/2 (+ (exp x) (/ 1 (exp x))))))
#s(approx (/ 2 (* (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 (+ (* (+ (* 1/12 (* x x)) 1) (* x x)) 2) #s(hole binary64 (* 1/12 (pow x 4))))
#s(approx (+ (* (+ (* 1/12 (* x x)) 1) (* x x)) 2) #s(hole binary64 (* (pow x 4) (+ 1/12 (/ 1 (pow x 2))))))
#s(approx (+ (* (+ (* 1/12 (* x x)) 1) (* x x)) 2) #s(hole binary64 (* (pow x 4) (+ 1/12 (+ (/ 1 (pow x 2)) (/ 2 (pow x 4)))))))
#s(approx (+ (* 1/12 (* x x)) 1) #s(hole binary64 (* 1/12 (pow x 2))))
#s(approx (+ (* 1/12 (* x x)) 1) #s(hole binary64 (* (pow x 2) (+ 1/12 (/ 1 (pow x 2))))))
#s(approx (+ (* (+ (* (+ (* 1/360 (* x x)) 1/12) (* x x)) 1) (* x x)) 2) #s(hole binary64 (* 1/360 (pow x 6))))
#s(approx (+ (* (+ (* (+ (* 1/360 (* x x)) 1/12) (* x x)) 1) (* x x)) 2) #s(hole binary64 (* (pow x 6) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))))
#s(approx (+ (* (+ (* (+ (* 1/360 (* x x)) 1/12) (* x x)) 1) (* x x)) 2) #s(hole binary64 (* (pow x 6) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))))
#s(approx (+ (* (+ (* (+ (* 1/360 (* x x)) 1/12) (* x x)) 1) (* x x)) 2) #s(hole binary64 (* (pow x 6) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (+ (/ 1 (pow x 4)) (* 2 (/ 1 (pow x 6)))))))))
#s(approx (+ (* (+ (* 1/360 (* x x)) 1/12) (* x x)) 1) #s(hole binary64 (* 1/360 (pow x 4))))
#s(approx (+ (* (+ (* 1/360 (* x x)) 1/12) (* x x)) 1) #s(hole binary64 (* (pow x 4) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))))
#s(approx (+ (* (+ (* 1/360 (* x x)) 1/12) (* x x)) 1) #s(hole binary64 (* (pow x 4) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))))
#s(approx (+ (* 1/360 (* x x)) 1/12) #s(hole binary64 (* 1/360 (pow x 2))))
#s(approx (+ (* 1/360 (* x x)) 1/12) #s(hole binary64 (* (pow x 2) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))))
#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 (+ (* x x) 2) #s(hole binary64 (pow x 2)))
#s(approx (+ (* x x) 2) #s(hole binary64 (* (pow x 2) (+ 1 (* 2 (/ 1 (pow 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 (neg.f64 (pow.f64 (cosh.f64 x) #s(literal -1/2 binary64))) (neg.f64 (pow.f64 (cosh.f64 x) #s(literal -1/2 binary64))))
(*.f64 (fabs.f64 (pow.f64 (cosh.f64 x) #s(literal -1/2 binary64))) (fabs.f64 (pow.f64 (cosh.f64 x) #s(literal -1/2 binary64))))
(*.f64 (pow.f64 (cosh.f64 x) #s(literal -1/2 binary64)) (pow.f64 (cosh.f64 x) #s(literal -1/2 binary64)))
(pow.f64 (*.f64 (cosh.f64 x) (cosh.f64 x)) #s(literal -1/2 binary64))
(pow.f64 (pow.f64 (cosh.f64 x) #s(literal -1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (cosh.f64 x) #s(literal -1 binary64))
(*.f64 (pow.f64 (cosh.f64 x) #s(literal -1/4 binary64)) (pow.f64 (cosh.f64 x) #s(literal -1/4 binary64)))
(pow.f64 (cosh.f64 x) #s(literal -1/2 binary64))
(exp.f64 (*.f64 (log.f64 (cosh.f64 x)) #s(literal -1/2 binary64)))
(/.f64 (*.f64 (cosh.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64))
(cosh.f64 (neg.f64 x))
(cosh.f64 x)
x
#s(literal -1/2 binary64)
(/.f64 #s(literal -2 binary64) (neg.f64 #s(approx (+ (exp x) (exp (neg x))) (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/12 binary64) #s(literal 1 binary64)) (.f64 x x) #s(literal 2 binary64)))))
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/12 binary64) #s(literal 1 binary64)) (.f64 x x) #s(literal 2 binary64))))
#s(literal 2 binary64)
#s(approx (+ (exp x) (exp (neg x))) (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/12 binary64) #s(literal 1 binary64)) (.f64 x x) #s(literal 2 binary64)))
(/.f64 (-.f64 #s(literal 4 binary64) (.f64 (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/12 binary64) #s(literal 1 binary64)) x) x) (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/12 binary64) #s(literal 1 binary64)) x) x))) (-.f64 #s(literal 2 binary64) (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/12 binary64) #s(literal 1 binary64)) x) x)))
(/.f64 (-.f64 (.f64 (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/12 binary64) #s(literal 1 binary64)) x) x) (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/12 binary64) #s(literal 1 binary64)) x) x)) #s(literal 4 binary64)) (-.f64 (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/12 binary64) #s(literal 1 binary64)) x) x) #s(literal 2 binary64)))
(/.f64 (+.f64 #s(literal 8 binary64) (pow.f64 (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/12 binary64) #s(literal 1 binary64)) x) x) #s(literal 3 binary64))) (+.f64 #s(literal 4 binary64) (-.f64 (.f64 (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/12 binary64) #s(literal 1 binary64)) x) x) (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/12 binary64) #s(literal 1 binary64)) x) x)) (.f64 #s(literal 2 binary64) (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/12 binary64) #s(literal 1 binary64)) x) x)))))
(/.f64 (+.f64 (pow.f64 (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/12 binary64) #s(literal 1 binary64)) x) x) #s(literal 3 binary64)) #s(literal 8 binary64)) (fma.f64 (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/12 binary64) #s(literal 1 binary64)) x) x) (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/12 binary64) #s(literal 1 binary64)) x) x) (-.f64 #s(literal 4 binary64) (.f64 (.f64 (.f64 (fma.f64 (*.f64 x x) #s(literal 1/12 binary64) #s(literal 1 binary64)) x) x) #s(literal 2 binary64)))))
(fma.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/12 binary64) #s(literal 1 binary64)) x) x #s(literal 2 binary64))
(fma.f64 (fma.f64 (.f64 x x) #s(literal 1/12 binary64) #s(literal 1 binary64)) (.f64 x x) #s(literal 2 binary64))
(fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/12 binary64) #s(literal 1 binary64)) #s(literal 2 binary64))
(-.f64 #s(literal 2 binary64) (.f64 (neg.f64 (.f64 x x)) (fma.f64 (*.f64 x x) #s(literal 1/12 binary64) #s(literal 1 binary64))))
(+.f64 (.f64 (.f64 (fma.f64 (*.f64 x x) #s(literal 1/12 binary64) #s(literal 1 binary64)) x) x) #s(literal 2 binary64))
(+.f64 #s(literal 2 binary64) (.f64 (.f64 (fma.f64 (*.f64 x x) #s(literal 1/12 binary64) #s(literal 1 binary64)) x) x))
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 x x) #s(literal 1/12 binary64)) (.f64 (.f64 x x) #s(literal 1/12 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 (*.f64 x x) #s(literal 1/12 binary64))))
(/.f64 (-.f64 (.f64 (.f64 (.f64 x x) #s(literal 1/12 binary64)) (.f64 (.f64 x x) #s(literal 1/12 binary64))) #s(literal 1 binary64)) (-.f64 (.f64 (*.f64 x x) #s(literal 1/12 binary64)) #s(literal 1 binary64)))
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (.f64 (.f64 x x) #s(literal 1/12 binary64)) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (.f64 (.f64 (.f64 x x) #s(literal 1/12 binary64)) (.f64 (.f64 x x) #s(literal 1/12 binary64))) (.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal 1/12 binary64))))))
(/.f64 (+.f64 (pow.f64 (.f64 (.f64 x x) #s(literal 1/12 binary64)) #s(literal 3 binary64)) #s(literal 1 binary64)) (fma.f64 (.f64 (.f64 x x) #s(literal 1/12 binary64)) (.f64 (.f64 x x) #s(literal 1/12 binary64)) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (*.f64 x x) #s(literal 1/12 binary64)) #s(literal 1 binary64)))))
(fma.f64 (*.f64 #s(literal 1/12 binary64) x) x #s(literal 1 binary64))
(fma.f64 (*.f64 x x) #s(literal 1/12 binary64) #s(literal 1 binary64))
(fma.f64 #s(literal 1/12 binary64) (*.f64 x x) #s(literal 1 binary64))
(-.f64 #s(literal 1 binary64) (.f64 #s(literal -1/12 binary64) (.f64 x x)))
(+.f64 (.f64 (.f64 x x) #s(literal 1/12 binary64)) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal 1/12 binary64)))
#s(literal 1/12 binary64)
(*.f64 (pow.f64 x #s(literal 1 binary64)) (pow.f64 x #s(literal 1 binary64)))
(*.f64 (fabs.f64 x) (fabs.f64 x))
(*.f64 (neg.f64 x) (neg.f64 x))
(*.f64 x x)
(pow.f64 x #s(literal 2 binary64))
(exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)))
#s(literal 1 binary64)
(/.f64 #s(literal -2 binary64) (neg.f64 #s(approx (+ (exp x) (exp (neg x))) (fma.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) (.f64 x x) #s(literal 1 binary64)) (*.f64 x x) #s(literal 2 binary64)))))
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/360 binary64) #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 (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) (.f64 x x) #s(literal 1 binary64)) (*.f64 x x) #s(literal 2 binary64)))
(/.f64 (-.f64 #s(literal 4 binary64) (.f64 (.f64 (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) (.f64 x x) #s(literal 1 binary64)) x) x) (.f64 (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) (.f64 x x) #s(literal 1 binary64)) x) x))) (-.f64 #s(literal 2 binary64) (.f64 (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) (*.f64 x x) #s(literal 1 binary64)) x) x)))
(/.f64 (-.f64 (.f64 (.f64 (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) (.f64 x x) #s(literal 1 binary64)) x) x) (.f64 (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) (.f64 x x) #s(literal 1 binary64)) x) x)) #s(literal 4 binary64)) (-.f64 (.f64 (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) (*.f64 x x) #s(literal 1 binary64)) x) x) #s(literal 2 binary64)))
(/.f64 (+.f64 #s(literal 8 binary64) (pow.f64 (.f64 (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) (.f64 x x) #s(literal 1 binary64)) x) x) #s(literal 3 binary64))) (+.f64 #s(literal 4 binary64) (-.f64 (.f64 (.f64 (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) (.f64 x x) #s(literal 1 binary64)) x) x) (.f64 (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) (.f64 x x) #s(literal 1 binary64)) x) x)) (.f64 #s(literal 2 binary64) (.f64 (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) (.f64 x x) #s(literal 1 binary64)) x) x)))))
(/.f64 (+.f64 (pow.f64 (.f64 (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) (.f64 x x) #s(literal 1 binary64)) x) x) #s(literal 3 binary64)) #s(literal 8 binary64)) (fma.f64 (.f64 (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) (.f64 x x) #s(literal 1 binary64)) x) x) (.f64 (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) (.f64 x x) #s(literal 1 binary64)) x) x) (-.f64 #s(literal 4 binary64) (.f64 (.f64 (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) (*.f64 x x) #s(literal 1 binary64)) x) x) #s(literal 2 binary64)))))
(fma.f64 (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) (*.f64 x x) #s(literal 1 binary64)) x) x #s(literal 2 binary64))
(fma.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) (.f64 x x) #s(literal 1 binary64)) (*.f64 x x) #s(literal 2 binary64))
(fma.f64 (.f64 x x) (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) (*.f64 x x) #s(literal 1 binary64)) #s(literal 2 binary64))
(-.f64 #s(literal 2 binary64) (.f64 (neg.f64 (.f64 x x)) (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) (.f64 x x) #s(literal 1 binary64))))
(+.f64 (.f64 (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) (.f64 x x) #s(literal 1 binary64)) x) x) #s(literal 2 binary64))
(+.f64 #s(literal 2 binary64) (.f64 (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) (.f64 x x) #s(literal 1 binary64)) x) x))
(/.f64 (-.f64 (.f64 (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) x) x) (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) x) x)) #s(literal 1 binary64)) (-.f64 (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) x) x) #s(literal 1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) x) x) (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) x) x))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) x) x)))
(/.f64 (+.f64 (pow.f64 (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) x) x) #s(literal 3 binary64)) #s(literal 1 binary64)) (fma.f64 (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) x) x) (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) x) x) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) x) x) #s(literal 1 binary64)))))
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) x) x) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (.f64 (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) x) x) (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) x) x)) (.f64 #s(literal 1 binary64) (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) x) x)))))
(fma.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) x) x #s(literal 1 binary64))
(fma.f64 (fma.f64 (.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) (.f64 x x) #s(literal 1 binary64))
(fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) #s(literal 1 binary64))
(-.f64 #s(literal 1 binary64) (.f64 (neg.f64 (.f64 x x)) (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64))))
(+.f64 (.f64 (.f64 (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) x) x) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) x) x))
(/.f64 (-.f64 #s(literal 1/144 binary64) (.f64 (.f64 (.f64 x x) #s(literal 1/360 binary64)) (.f64 (.f64 x x) #s(literal 1/360 binary64)))) (-.f64 #s(literal 1/12 binary64) (.f64 (*.f64 x x) #s(literal 1/360 binary64))))
(/.f64 (-.f64 (.f64 (.f64 (.f64 x x) #s(literal 1/360 binary64)) (.f64 (.f64 x x) #s(literal 1/360 binary64))) #s(literal 1/144 binary64)) (-.f64 (.f64 (*.f64 x x) #s(literal 1/360 binary64)) #s(literal 1/12 binary64)))
(/.f64 (+.f64 #s(literal 1/1728 binary64) (pow.f64 (.f64 (.f64 x x) #s(literal 1/360 binary64)) #s(literal 3 binary64))) (+.f64 #s(literal 1/144 binary64) (-.f64 (.f64 (.f64 (.f64 x x) #s(literal 1/360 binary64)) (.f64 (.f64 x x) #s(literal 1/360 binary64))) (.f64 #s(literal 1/12 binary64) (.f64 (.f64 x x) #s(literal 1/360 binary64))))))
(/.f64 (+.f64 (pow.f64 (.f64 (.f64 x x) #s(literal 1/360 binary64)) #s(literal 3 binary64)) #s(literal 1/1728 binary64)) (fma.f64 (.f64 (.f64 x x) #s(literal 1/360 binary64)) (.f64 (.f64 x x) #s(literal 1/360 binary64)) (-.f64 #s(literal 1/144 binary64) (.f64 (.f64 (*.f64 x x) #s(literal 1/360 binary64)) #s(literal 1/12 binary64)))))
(fma.f64 (*.f64 #s(literal 1/360 binary64) x) x #s(literal 1/12 binary64))
(fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64))
(fma.f64 #s(literal 1/360 binary64) (*.f64 x x) #s(literal 1/12 binary64))
(-.f64 #s(literal 1/12 binary64) (.f64 #s(literal -1/360 binary64) (.f64 x x)))
(+.f64 (.f64 (.f64 x x) #s(literal 1/360 binary64)) #s(literal 1/12 binary64))
(+.f64 #s(literal 1/12 binary64) (.f64 (.f64 x x) #s(literal 1/360 binary64)))
#s(literal 1/360 binary64)
(/.f64 #s(literal -2 binary64) (neg.f64 #s(approx (+ (exp x) (exp (neg x))) #s(approx (+ (* x x) 2) (*.f64 x x)))))
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) #s(approx (+ (* x x) 2) (*.f64 x x))))
#s(approx (+ (exp x) (exp (neg x))) #s(approx (+ (* x x) 2) (*.f64 x x)))
#s(approx (+ (* x x) 2) (*.f64 x x))
#s(approx (* (pow (cosh x) -1/2) (pow (cosh x) -1/2)) #s(literal 1 binary64))
#s(approx (* (pow (cosh x) -1/2) (pow (cosh x) -1/2)) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64)))
#s(approx (* (pow (cosh x) -1/2) (pow (cosh x) -1/2)) (fma.f64 (-.f64 (.f64 #s(literal 5/24 binary64) (.f64 x x)) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))
#s(approx (* (pow (cosh x) -1/2) (pow (cosh x) -1/2)) (fma.f64 (-.f64 (.f64 (fma.f64 #s(literal -61/720 binary64) (.f64 x x) #s(literal 5/24 binary64)) (.f64 x x)) #s(literal 1/2 binary64)) (.f64 x x) #s(literal 1 binary64)))
#s(approx (pow (cosh x) -1/2) #s(literal 1 binary64))
#s(approx (pow (cosh x) -1/2) (fma.f64 #s(literal -1/4 binary64) (*.f64 x x) #s(literal 1 binary64)))
#s(approx (pow (cosh x) -1/2) (fma.f64 (-.f64 (.f64 #s(literal 7/96 binary64) (.f64 x x)) #s(literal 1/4 binary64)) (*.f64 x x) #s(literal 1 binary64)))
#s(approx (pow (cosh x) -1/2) (fma.f64 (-.f64 (.f64 (fma.f64 #s(literal -139/5760 binary64) (.f64 x x) #s(literal 7/96 binary64)) (.f64 x x)) #s(literal 1/4 binary64)) (.f64 x x) #s(literal 1 binary64)))
#s(approx (cosh 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 (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)) (*.f64 x x) #s(literal 1 binary64)))
#s(approx x x)
#s(approx (/ 2 (* (cosh x) 2)) #s(literal 1 binary64))
#s(approx (/ 2 (* (cosh x) 2)) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64)))
#s(approx (/ 2 (* (cosh x) 2)) (fma.f64 (-.f64 (.f64 #s(literal 5/24 binary64) (.f64 x x)) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))
#s(approx (/ 2 (* (cosh x) 2)) (fma.f64 (-.f64 (.f64 (fma.f64 #s(literal -61/720 binary64) (.f64 x x) #s(literal 5/24 binary64)) (.f64 x x)) #s(literal 1/2 binary64)) (.f64 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 (.f64 x x) #s(literal 1/12 binary64) #s(literal 1 binary64)) (.f64 x x) #s(literal 2 binary64)))
#s(approx (+ (exp x) (exp (neg x))) (fma.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) (.f64 x x) #s(literal 1 binary64)) (*.f64 x x) #s(literal 2 binary64)))
#s(approx (+ (* (+ (* 1/12 (* x x)) 1) (* x x)) 2) #s(literal 2 binary64))
#s(approx (+ (* (+ (* 1/12 (* x x)) 1) (* x x)) 2) (fma.f64 x x #s(literal 2 binary64)))
#s(approx (+ (* (+ (* 1/12 (* x x)) 1) (* x x)) 2) (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/12 binary64) #s(literal 1 binary64)) (.f64 x x) #s(literal 2 binary64)))
#s(approx (+ (* 1/12 (* x x)) 1) #s(literal 1 binary64))
#s(approx (+ (* 1/12 (* x x)) 1) (fma.f64 (*.f64 x x) #s(literal 1/12 binary64) #s(literal 1 binary64)))
#s(approx (* x x) (*.f64 x x))
#s(approx (+ (* (+ (* (+ (* 1/360 (* x x)) 1/12) (* x x)) 1) (* x x)) 2) #s(literal 2 binary64))
#s(approx (+ (* (+ (* (+ (* 1/360 (* x x)) 1/12) (* x x)) 1) (* x x)) 2) (fma.f64 x x #s(literal 2 binary64)))
#s(approx (+ (* (+ (* (+ (* 1/360 (* x x)) 1/12) (* x x)) 1) (* x x)) 2) (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/12 binary64) #s(literal 1 binary64)) (.f64 x x) #s(literal 2 binary64)))
#s(approx (+ (* (+ (* (+ (* 1/360 (* x x)) 1/12) (* x x)) 1) (* x x)) 2) (fma.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) (.f64 x x) #s(literal 1 binary64)) (*.f64 x x) #s(literal 2 binary64)))
#s(approx (+ (* (+ (* 1/360 (* x x)) 1/12) (* x x)) 1) #s(literal 1 binary64))
#s(approx (+ (* (+ (* 1/360 (* x x)) 1/12) (* x x)) 1) (fma.f64 (*.f64 x x) #s(literal 1/12 binary64) #s(literal 1 binary64)))
#s(approx (+ (* (+ (* 1/360 (* x x)) 1/12) (* x x)) 1) (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) (.f64 x x) #s(literal 1 binary64)))
#s(approx (+ (* 1/360 (* x x)) 1/12) #s(literal 1/12 binary64))
#s(approx (+ (* 1/360 (* x x)) 1/12) (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)))
#s(approx (/ 2 (* (cosh x) 2)) #s(literal 1 binary64))
#s(approx (/ 2 (* (cosh x) 2)) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64)))
#s(approx (/ 2 (* (cosh x) 2)) (fma.f64 (-.f64 (.f64 #s(literal 5/24 binary64) (.f64 x x)) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))
#s(approx (/ 2 (* (cosh x) 2)) (fma.f64 (-.f64 (.f64 (fma.f64 #s(literal -61/720 binary64) (.f64 x x) #s(literal 5/24 binary64)) (.f64 x x)) #s(literal 1/2 binary64)) (.f64 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 (.f64 x x) #s(literal 1/12 binary64) #s(literal 1 binary64)) (.f64 x x) #s(literal 2 binary64)))
#s(approx (+ (exp x) (exp (neg x))) (fma.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) (.f64 x x) #s(literal 1 binary64)) (*.f64 x x) #s(literal 2 binary64)))
#s(approx (+ (* x x) 2) #s(literal 2 binary64))
#s(approx (+ (* x x) 2) (fma.f64 x x #s(literal 2 binary64)))
#s(approx (* (pow (cosh x) -1/2) (pow (cosh x) -1/2)) (/.f64 #s(literal 2 binary64) (*.f64 (cosh.f64 x) #s(literal 2 binary64))))
#s(approx (pow (cosh x) -1/2) (sqrt.f64 (.f64 #s(literal 2 binary64) (pow.f64 (.f64 (cosh.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64)))))
#s(approx (cosh x) (.f64 #s(literal 1/2 binary64) (.f64 (cosh.f64 x) #s(literal 2 binary64))))
#s(approx (/ 2 (* (cosh x) 2)) (/.f64 #s(literal 2 binary64) (*.f64 (cosh.f64 x) #s(literal 2 binary64))))
#s(approx (+ (exp x) (exp (neg x))) (*.f64 (cosh.f64 x) #s(literal 2 binary64)))
#s(approx (+ (* (+ (* 1/12 (* x x)) 1) (* x x)) 2) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64)))
#s(approx (+ (* (+ (* 1/12 (* x x)) 1) (* x x)) 2) (*.f64 (+.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/12 binary64)) (pow.f64 x #s(literal 4 binary64))))
#s(approx (+ (* (+ (* 1/12 (* x x)) 1) (* x x)) 2) (*.f64 (+.f64 (+.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/12 binary64)) (/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 4 binary64)))) (pow.f64 x #s(literal 4 binary64))))
#s(approx (+ (* 1/12 (* x x)) 1) (.f64 (.f64 x x) #s(literal 1/12 binary64)))
#s(approx (+ (* 1/12 (* x x)) 1) (.f64 (+.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/12 binary64)) (.f64 x x)))
#s(approx (+ (* (+ (* (+ (* 1/360 (* x x)) 1/12) (* x x)) 1) (* x x)) 2) (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/360 binary64)))
#s(approx (+ (* (+ (* (+ (* 1/360 (* x x)) 1/12) (* x x)) 1) (* x x)) 2) (*.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/12 binary64) #s(literal 1/360 binary64)) (pow.f64 x #s(literal 6 binary64))))
#s(approx (+ (* (+ (* (+ (* 1/360 (* x x)) 1/12) (* x x)) 1) (* x x)) 2) (*.f64 (+.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/12 binary64) (pow.f64 x #s(literal -4 binary64))) #s(literal 1/360 binary64)) (pow.f64 x #s(literal 6 binary64))))
#s(approx (+ (* (+ (* (+ (* 1/360 (* x x)) 1/12) (* x x)) 1) (* x x)) 2) (*.f64 (+.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/12 binary64) (fma.f64 (pow.f64 x #s(literal -6 binary64)) #s(literal 2 binary64) (pow.f64 x #s(literal -4 binary64)))) #s(literal 1/360 binary64)) (pow.f64 x #s(literal 6 binary64))))
#s(approx (+ (* (+ (* 1/360 (* x x)) 1/12) (* x x)) 1) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/360 binary64)))
#s(approx (+ (* (+ (* 1/360 (* x x)) 1/12) (* x x)) 1) (*.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/12 binary64) #s(literal 1/360 binary64)) (pow.f64 x #s(literal 4 binary64))))
#s(approx (+ (* (+ (* 1/360 (* x x)) 1/12) (* x x)) 1) (*.f64 (+.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/12 binary64) (pow.f64 x #s(literal -4 binary64))) #s(literal 1/360 binary64)) (pow.f64 x #s(literal 4 binary64))))
#s(approx (+ (* 1/360 (* x x)) 1/12) (.f64 (.f64 x x) #s(literal 1/360 binary64)))
#s(approx (+ (* 1/360 (* x x)) 1/12) (.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/12 binary64) #s(literal 1/360 binary64)) (.f64 x x)))
#s(approx (/ 2 (* (cosh x) 2)) (/.f64 #s(literal 2 binary64) (*.f64 (cosh.f64 x) #s(literal 2 binary64))))
#s(approx (+ (exp x) (exp (neg x))) (*.f64 (cosh.f64 x) #s(literal 2 binary64)))
#s(approx (+ (* x x) 2) (*.f64 x x))
#s(approx (+ (* x x) 2) (.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 2 binary64) #s(literal 1 binary64)) (.f64 x x)))
#s(approx (/ 2 (* (cosh x) 2)) (/.f64 #s(literal 2 binary64) (*.f64 (cosh.f64 x) #s(literal 2 binary64))))
#s(approx (+ (exp x) (exp (neg x))) (*.f64 (cosh.f64 x) #s(literal 2 binary64)))

eval21.0ms (0.9%)

Memory: 17.1MiB live, 62.3MiB allocated; 4ms collecting garbage
Compiler: Compiled 4 542 to 764 computations (83.2% saved)

prune13.0ms (0.6%)

Memory

-8.4MiB live, 38.2MiB allocated; 3ms collecting garbage

Pruning

14 alts after pruning (9 fresh and 5 done)

	Pruned	Kept	Total
New	172	9	181
Fresh	0	0	0
Picked	3	1	4
Done	1	4	5
Total	176	14	190

Accuracy

100.0%

Counts

190 → 14

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(pow.f64 (pow.f64 (cosh.f64 x) #s(literal -1/2 binary64)) #s(literal 2 binary64))
✓	76.4%	(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 x x #s(literal 2 binary64))))
✓	26.1%	(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) #s(approx (+ (* x x) 2) (*.f64 x x))))
	89.4%	(/.f64 #s(literal 2 binary64) #s(approx (* (cosh x) 2) (fma.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/360 binary64) x) x #s(literal 1/12 binary64)) (.f64 x x) #s(literal 1 binary64)) (*.f64 x x) #s(literal 2 binary64))))
▶	89.4%	(/.f64 #s(literal 2 binary64) #s(approx (* (cosh x) 2) (fma.f64 (fma.f64 (-.f64 #s(literal 1/12 binary64) (.f64 #s(literal -1/360 binary64) (.f64 x x))) (.f64 x x) #s(literal 1 binary64)) (.f64 x x) #s(literal 2 binary64))))
▶	89.4%	(/.f64 #s(literal 2 binary64) #s(approx (* (cosh x) 2) (fma.f64 (fma.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) x) x #s(literal 1 binary64)) (*.f64 x x) #s(literal 2 binary64))))
▶	86.1%	(/.f64 #s(literal 2 binary64) #s(approx (* (cosh x) 2) (fma.f64 (fma.f64 (.f64 #s(literal 1/12 binary64) x) x #s(literal 1 binary64)) (.f64 x x) #s(literal 2 binary64))))
	89.4%	(/.f64 #s(literal 2 binary64) #s(approx (* (cosh x) 2) (fma.f64 (fma.f64 #s(approx (+ (* 1/360 (* x x)) 1/12) (.f64 (.f64 x x) #s(literal 1/360 binary64))) (.f64 x x) #s(literal 1 binary64)) (.f64 x x) #s(literal 2 binary64))))
	86.1%	(/.f64 #s(literal 2 binary64) #s(approx (* (cosh x) 2) (fma.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/12 binary64) #s(literal 1 binary64)) x) x #s(literal 2 binary64))))
▶	86.0%	(/.f64 #s(literal 2 binary64) #s(approx (* (cosh x) 2) (fma.f64 #s(approx (+ (* 1/12 (* x x)) 1) (.f64 (.f64 x x) #s(literal 1/12 binary64))) (*.f64 x x) #s(literal 2 binary64))))
	59.8%	(/.f64 #s(literal 2 binary64) #s(approx (* (cosh x) 2) (/.f64 (-.f64 (.f64 (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/12 binary64) #s(literal 1 binary64)) x) x) (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/12 binary64) #s(literal 1 binary64)) x) x)) #s(literal 4 binary64)) (-.f64 (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/12 binary64) #s(literal 1 binary64)) x) x) #s(literal 2 binary64)))))
✓	100.0%	(/.f64 #s(literal 1 binary64) (cosh.f64 x))
✓	53.3%	#s(approx (/ 2 (+ (exp x) (exp (neg x)))) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64)))
✓	53.9%	#s(approx (/ 2 (+ (exp x) (exp (neg x)))) #s(literal 1 binary64))

Compiler

Compiled 480 to 309 computations (35.6% saved)

series16.0ms (0.7%)

Memory

-8.1MiB live, 37.3MiB allocated; 2ms collecting garbage

Counts

33 → 90

Calls

Call 1

Inputs
(pow.f64 (pow.f64 (cosh.f64 x) #s(literal -1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (cosh.f64 x) #s(literal -1/2 binary64))
(cosh.f64 x)
x
#s(literal -1/2 binary64)
#s(literal 2 binary64)
(/.f64 #s(literal 2 binary64) #s(approx (* (cosh x) 2) (fma.f64 #s(approx (+ (* 1/12 (* x x)) 1) (.f64 (.f64 x x) #s(literal 1/12 binary64))) (*.f64 x x) #s(literal 2 binary64))))
#s(approx (* (cosh x) 2) (fma.f64 #s(approx (+ (* 1/12 (* x x)) 1) (.f64 (.f64 x x) #s(literal 1/12 binary64))) (*.f64 x x) #s(literal 2 binary64)))
(fma.f64 #s(approx (+ (* 1/12 (* x x)) 1) (.f64 (.f64 x x) #s(literal 1/12 binary64))) (*.f64 x x) #s(literal 2 binary64))
#s(approx (+ (* 1/12 (* x x)) 1) (.f64 (.f64 x x) #s(literal 1/12 binary64)))
(.f64 (.f64 x x) #s(literal 1/12 binary64))
(*.f64 x x)
#s(literal 1/12 binary64)
(/.f64 #s(literal 2 binary64) #s(approx (* (cosh x) 2) (fma.f64 (fma.f64 (.f64 #s(literal 1/12 binary64) x) x #s(literal 1 binary64)) (.f64 x x) #s(literal 2 binary64))))
#s(approx (* (cosh x) 2) (fma.f64 (fma.f64 (.f64 #s(literal 1/12 binary64) x) x #s(literal 1 binary64)) (.f64 x x) #s(literal 2 binary64)))
(fma.f64 (fma.f64 (.f64 #s(literal 1/12 binary64) x) x #s(literal 1 binary64)) (.f64 x x) #s(literal 2 binary64))
(fma.f64 (*.f64 #s(literal 1/12 binary64) x) x #s(literal 1 binary64))
(*.f64 #s(literal 1/12 binary64) x)
#s(literal 1 binary64)
(/.f64 #s(literal 2 binary64) #s(approx (* (cosh x) 2) (fma.f64 (fma.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) x) x #s(literal 1 binary64)) (*.f64 x x) #s(literal 2 binary64))))
#s(approx (* (cosh x) 2) (fma.f64 (fma.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) x) x #s(literal 1 binary64)) (*.f64 x x) #s(literal 2 binary64)))
(fma.f64 (fma.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) x) x #s(literal 1 binary64)) (*.f64 x x) #s(literal 2 binary64))
(fma.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) x) x #s(literal 1 binary64))
(.f64 (fma.f64 (.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) x)
(fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64))
#s(literal 1/360 binary64)
(/.f64 #s(literal 2 binary64) #s(approx (* (cosh x) 2) (fma.f64 (fma.f64 (-.f64 #s(literal 1/12 binary64) (.f64 #s(literal -1/360 binary64) (.f64 x x))) (.f64 x x) #s(literal 1 binary64)) (.f64 x x) #s(literal 2 binary64))))
#s(approx (* (cosh x) 2) (fma.f64 (fma.f64 (-.f64 #s(literal 1/12 binary64) (.f64 #s(literal -1/360 binary64) (.f64 x x))) (.f64 x x) #s(literal 1 binary64)) (.f64 x x) #s(literal 2 binary64)))
(fma.f64 (fma.f64 (-.f64 #s(literal 1/12 binary64) (.f64 #s(literal -1/360 binary64) (.f64 x x))) (.f64 x x) #s(literal 1 binary64)) (.f64 x x) #s(literal 2 binary64))
(fma.f64 (-.f64 #s(literal 1/12 binary64) (.f64 #s(literal -1/360 binary64) (.f64 x x))) (*.f64 x x) #s(literal 1 binary64))
(-.f64 #s(literal 1/12 binary64) (.f64 #s(literal -1/360 binary64) (.f64 x x)))
(.f64 #s(literal -1/360 binary64) (.f64 x x))
#s(literal -1/360 binary64)

Outputs
#s(approx (pow (pow (cosh x) -1/2) 2) #s(hole binary64 1))
#s(approx (pow (pow (cosh x) -1/2) 2) #s(hole binary64 (+ 1 (* -1/2 (pow x 2)))))
#s(approx (pow (pow (cosh x) -1/2) 2) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 5/24 (pow x 2)) 1/2)))))
#s(approx (pow (pow (cosh x) -1/2) 2) #s(hole binary64 (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 5/24 (* -61/720 (pow x 2)))) 1/2)))))
#s(approx (pow (cosh x) -1/2) #s(hole binary64 1))
#s(approx (pow (cosh x) -1/2) #s(hole binary64 (+ 1 (* -1/4 (pow x 2)))))
#s(approx (pow (cosh x) -1/2) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 7/96 (pow x 2)) 1/4)))))
#s(approx (pow (cosh x) -1/2) #s(hole binary64 (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 7/96 (* -139/5760 (pow x 2)))) 1/4)))))
#s(approx (cosh x) #s(hole binary64 1))
#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 (/ 2 (* (cosh x) 2)) #s(hole binary64 1))
#s(approx (/ 2 (* (cosh x) 2)) #s(hole binary64 (+ 1 (* -1/2 (pow x 2)))))
#s(approx (/ 2 (* (cosh x) 2)) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 5/24 (pow x 2)) 1/2)))))
#s(approx (/ 2 (* (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 (+ (* (+ (* 1/12 (* x x)) 1) (* x x)) 2) #s(hole binary64 2))
#s(approx (+ (* (+ (* 1/12 (* x x)) 1) (* x x)) 2) #s(hole binary64 (+ 2 (pow x 2))))
#s(approx (+ (* (+ (* 1/12 (* x x)) 1) (* x x)) 2) #s(hole binary64 (+ 2 (* (pow x 2) (+ 1 (* 1/12 (pow x 2)))))))
#s(approx (+ (* 1/12 (* x x)) 1) #s(hole binary64 1))
#s(approx (+ (* 1/12 (* x x)) 1) #s(hole binary64 (+ 1 (* 1/12 (pow x 2)))))
#s(approx (* (* x x) 1/12) #s(hole binary64 (* 1/12 (pow x 2))))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx (+ (* (+ (* (* 1/12 x) x) 1) (* x x)) 2) #s(hole binary64 2))
#s(approx (+ (* (+ (* (* 1/12 x) x) 1) (* x x)) 2) #s(hole binary64 (+ 2 (pow x 2))))
#s(approx (+ (* (+ (* (* 1/12 x) x) 1) (* x x)) 2) #s(hole binary64 (+ 2 (* (pow x 2) (+ 1 (* 1/12 (pow x 2)))))))
#s(approx (+ (* (* 1/12 x) x) 1) #s(hole binary64 1))
#s(approx (+ (* (* 1/12 x) x) 1) #s(hole binary64 (+ 1 (* 1/12 (pow x 2)))))
#s(approx (* 1/12 x) #s(hole binary64 (* 1/12 x)))
#s(approx (+ (* (+ (* (* (+ (* (* x x) 1/360) 1/12) x) x) 1) (* x x)) 2) #s(hole binary64 2))
#s(approx (+ (* (+ (* (* (+ (* (* x x) 1/360) 1/12) x) x) 1) (* x x)) 2) #s(hole binary64 (+ 2 (pow x 2))))
#s(approx (+ (* (+ (* (* (+ (* (* x x) 1/360) 1/12) x) x) 1) (* x x)) 2) #s(hole binary64 (+ 2 (* (pow x 2) (+ 1 (* 1/12 (pow x 2)))))))
#s(approx (+ (* (+ (* (* (+ (* (* x x) 1/360) 1/12) x) x) 1) (* x x)) 2) #s(hole binary64 (+ 2 (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2)))))))))
#s(approx (+ (* (* (+ (* (* x x) 1/360) 1/12) x) x) 1) #s(hole binary64 1))
#s(approx (+ (* (* (+ (* (* x x) 1/360) 1/12) x) x) 1) #s(hole binary64 (+ 1 (* 1/12 (pow x 2)))))
#s(approx (+ (* (* (+ (* (* x x) 1/360) 1/12) x) x) 1) #s(hole binary64 (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2)))))))
#s(approx (* (+ (* (* x x) 1/360) 1/12) x) #s(hole binary64 (* 1/12 x)))
#s(approx (* (+ (* (* x x) 1/360) 1/12) x) #s(hole binary64 (* x (+ 1/12 (* 1/360 (pow x 2))))))
#s(approx (+ (* (* x x) 1/360) 1/12) #s(hole binary64 1/12))
#s(approx (+ (* (* x x) 1/360) 1/12) #s(hole binary64 (+ 1/12 (* 1/360 (pow x 2)))))
#s(approx (+ (* (+ (* (- 1/12 (* -1/360 (* x x))) (* x x)) 1) (* x x)) 2) #s(hole binary64 2))
#s(approx (+ (* (+ (* (- 1/12 (* -1/360 (* x x))) (* x x)) 1) (* x x)) 2) #s(hole binary64 (+ 2 (pow x 2))))
#s(approx (+ (* (+ (* (- 1/12 (* -1/360 (* x x))) (* x x)) 1) (* x x)) 2) #s(hole binary64 (+ 2 (* (pow x 2) (+ 1 (* 1/12 (pow x 2)))))))
#s(approx (+ (* (+ (* (- 1/12 (* -1/360 (* x x))) (* x x)) 1) (* x x)) 2) #s(hole binary64 (+ 2 (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2)))))))))
#s(approx (+ (* (- 1/12 (* -1/360 (* x x))) (* x x)) 1) #s(hole binary64 1))
#s(approx (+ (* (- 1/12 (* -1/360 (* x x))) (* x x)) 1) #s(hole binary64 (+ 1 (* 1/12 (pow x 2)))))
#s(approx (+ (* (- 1/12 (* -1/360 (* x x))) (* x x)) 1) #s(hole binary64 (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2)))))))
#s(approx (- 1/12 (* -1/360 (* x x))) #s(hole binary64 1/12))
#s(approx (- 1/12 (* -1/360 (* x x))) #s(hole binary64 (+ 1/12 (* 1/360 (pow x 2)))))
#s(approx (* -1/360 (* x x)) #s(hole binary64 (* -1/360 (pow x 2))))
#s(approx (pow (pow (cosh x) -1/2) 2) #s(hole binary64 (/ 2 (+ (exp x) (/ 1 (exp x))))))
#s(approx (pow (cosh x) -1/2) #s(hole binary64 (* (sqrt 2) (sqrt (/ 1 (+ (exp x) (/ 1 (exp x))))))))
#s(approx (cosh x) #s(hole binary64 (* 1/2 (+ (exp x) (/ 1 (exp x))))))
#s(approx (/ 2 (* (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 (+ (* (+ (* 1/12 (* x x)) 1) (* x x)) 2) #s(hole binary64 (* 1/12 (pow x 4))))
#s(approx (+ (* (+ (* 1/12 (* x x)) 1) (* x x)) 2) #s(hole binary64 (* (pow x 4) (+ 1/12 (/ 1 (pow x 2))))))
#s(approx (+ (* (+ (* 1/12 (* x x)) 1) (* x x)) 2) #s(hole binary64 (* (pow x 4) (+ 1/12 (+ (/ 1 (pow x 2)) (/ 2 (pow x 4)))))))
#s(approx (+ (* 1/12 (* x x)) 1) #s(hole binary64 (* 1/12 (pow x 2))))
#s(approx (+ (* 1/12 (* x x)) 1) #s(hole binary64 (* (pow x 2) (+ 1/12 (/ 1 (pow x 2))))))
#s(approx (+ (* (+ (* (* 1/12 x) x) 1) (* x x)) 2) #s(hole binary64 (* 1/12 (pow x 4))))
#s(approx (+ (* (+ (* (* 1/12 x) x) 1) (* x x)) 2) #s(hole binary64 (* (pow x 4) (+ 1/12 (/ 1 (pow x 2))))))
#s(approx (+ (* (+ (* (* 1/12 x) x) 1) (* x x)) 2) #s(hole binary64 (* (pow x 4) (+ 1/12 (+ (/ 1 (pow x 2)) (/ 2 (pow x 4)))))))
#s(approx (+ (* (* 1/12 x) x) 1) #s(hole binary64 (* 1/12 (pow x 2))))
#s(approx (+ (* (* 1/12 x) x) 1) #s(hole binary64 (* (pow x 2) (+ 1/12 (/ 1 (pow x 2))))))
#s(approx (+ (* (+ (* (* (+ (* (* x x) 1/360) 1/12) x) x) 1) (* x x)) 2) #s(hole binary64 (* 1/360 (pow x 6))))
#s(approx (+ (* (+ (* (* (+ (* (* x x) 1/360) 1/12) x) x) 1) (* x x)) 2) #s(hole binary64 (* (pow x 6) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))))
#s(approx (+ (* (+ (* (* (+ (* (* x x) 1/360) 1/12) x) x) 1) (* x x)) 2) #s(hole binary64 (* (pow x 6) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))))
#s(approx (+ (* (+ (* (* (+ (* (* x x) 1/360) 1/12) x) x) 1) (* x x)) 2) #s(hole binary64 (* (pow x 6) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (+ (/ 1 (pow x 4)) (* 2 (/ 1 (pow x 6)))))))))
#s(approx (+ (* (* (+ (* (* x x) 1/360) 1/12) x) x) 1) #s(hole binary64 (* 1/360 (pow x 4))))
#s(approx (+ (* (* (+ (* (* x x) 1/360) 1/12) x) x) 1) #s(hole binary64 (* (pow x 4) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))))
#s(approx (+ (* (* (+ (* (* x x) 1/360) 1/12) x) x) 1) #s(hole binary64 (* (pow x 4) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))))
#s(approx (* (+ (* (* x x) 1/360) 1/12) x) #s(hole binary64 (* 1/360 (pow x 3))))
#s(approx (* (+ (* (* x x) 1/360) 1/12) x) #s(hole binary64 (* (pow x 3) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))))
#s(approx (+ (* (* x x) 1/360) 1/12) #s(hole binary64 (* 1/360 (pow x 2))))
#s(approx (+ (* (* x x) 1/360) 1/12) #s(hole binary64 (* (pow x 2) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))))
#s(approx (+ (* (+ (* (- 1/12 (* -1/360 (* x x))) (* x x)) 1) (* x x)) 2) #s(hole binary64 (* 1/360 (pow x 6))))
#s(approx (+ (* (+ (* (- 1/12 (* -1/360 (* x x))) (* x x)) 1) (* x x)) 2) #s(hole binary64 (* (pow x 6) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))))
#s(approx (+ (* (+ (* (- 1/12 (* -1/360 (* x x))) (* x x)) 1) (* x x)) 2) #s(hole binary64 (* (pow x 6) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))))
#s(approx (+ (* (+ (* (- 1/12 (* -1/360 (* x x))) (* x x)) 1) (* x x)) 2) #s(hole binary64 (* (pow x 6) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (+ (/ 1 (pow x 4)) (* 2 (/ 1 (pow x 6)))))))))
#s(approx (+ (* (- 1/12 (* -1/360 (* x x))) (* x x)) 1) #s(hole binary64 (* 1/360 (pow x 4))))
#s(approx (+ (* (- 1/12 (* -1/360 (* x x))) (* x x)) 1) #s(hole binary64 (* (pow x 4) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))))
#s(approx (+ (* (- 1/12 (* -1/360 (* x x))) (* x x)) 1) #s(hole binary64 (* (pow x 4) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))))
#s(approx (- 1/12 (* -1/360 (* x x))) #s(hole binary64 (* 1/360 (pow x 2))))
#s(approx (- 1/12 (* -1/360 (* x x))) #s(hole binary64 (* (pow x 2) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))))

Calls

3 calls:

Time	Variable		Point	Expression
5.0ms	x	@	-inf	((pow (pow (cosh x) -1/2) 2) (pow (cosh x) -1/2) (cosh x) x -1/2 2 (/ 2 (* (cosh x) 2)) (* (cosh x) 2) (+ (* (+ (* 1/12 (* x x)) 1) (* x x)) 2) (+ (* 1/12 (* x x)) 1) (* (* x x) 1/12) (* x x) 1/12 (/ 2 (* (cosh x) 2)) (* (cosh x) 2) (+ (* (+ (* (* 1/12 x) x) 1) (* x x)) 2) (+ (* (* 1/12 x) x) 1) (* 1/12 x) 1 (/ 2 (* (cosh x) 2)) (* (cosh x) 2) (+ (* (+ (* (* (+ (* (* x x) 1/360) 1/12) x) x) 1) (* x x)) 2) (+ (* (* (+ (* (* x x) 1/360) 1/12) x) x) 1) (* (+ (* (* x x) 1/360) 1/12) x) (+ (* (* x x) 1/360) 1/12) 1/360 (/ 2 (* (cosh x) 2)) (* (cosh x) 2) (+ (* (+ (* (- 1/12 (* -1/360 (* x x))) (* x x)) 1) (* x x)) 2) (+ (* (- 1/12 (* -1/360 (* x x))) (* x x)) 1) (- 1/12 (* -1/360 (* x x))) (* -1/360 (* x x)) -1/360)
5.0ms	x	@	0	((pow (pow (cosh x) -1/2) 2) (pow (cosh x) -1/2) (cosh x) x -1/2 2 (/ 2 (* (cosh x) 2)) (* (cosh x) 2) (+ (* (+ (* 1/12 (* x x)) 1) (* x x)) 2) (+ (* 1/12 (* x x)) 1) (* (* x x) 1/12) (* x x) 1/12 (/ 2 (* (cosh x) 2)) (* (cosh x) 2) (+ (* (+ (* (* 1/12 x) x) 1) (* x x)) 2) (+ (* (* 1/12 x) x) 1) (* 1/12 x) 1 (/ 2 (* (cosh x) 2)) (* (cosh x) 2) (+ (* (+ (* (* (+ (* (* x x) 1/360) 1/12) x) x) 1) (* x x)) 2) (+ (* (* (+ (* (* x x) 1/360) 1/12) x) x) 1) (* (+ (* (* x x) 1/360) 1/12) x) (+ (* (* x x) 1/360) 1/12) 1/360 (/ 2 (* (cosh x) 2)) (* (cosh x) 2) (+ (* (+ (* (- 1/12 (* -1/360 (* x x))) (* x x)) 1) (* x x)) 2) (+ (* (- 1/12 (* -1/360 (* x x))) (* x x)) 1) (- 1/12 (* -1/360 (* x x))) (* -1/360 (* x x)) -1/360)
4.0ms	x	@	inf	((pow (pow (cosh x) -1/2) 2) (pow (cosh x) -1/2) (cosh x) x -1/2 2 (/ 2 (* (cosh x) 2)) (* (cosh x) 2) (+ (* (+ (* 1/12 (* x x)) 1) (* x x)) 2) (+ (* 1/12 (* x x)) 1) (* (* x x) 1/12) (* x x) 1/12 (/ 2 (* (cosh x) 2)) (* (cosh x) 2) (+ (* (+ (* (* 1/12 x) x) 1) (* x x)) 2) (+ (* (* 1/12 x) x) 1) (* 1/12 x) 1 (/ 2 (* (cosh x) 2)) (* (cosh x) 2) (+ (* (+ (* (* (+ (* (* x x) 1/360) 1/12) x) x) 1) (* x x)) 2) (+ (* (* (+ (* (* x x) 1/360) 1/12) x) x) 1) (* (+ (* (* x x) 1/360) 1/12) x) (+ (* (* x x) 1/360) 1/12) 1/360 (/ 2 (* (cosh x) 2)) (* (cosh x) 2) (+ (* (+ (* (- 1/12 (* -1/360 (* x x))) (* x x)) 1) (* x x)) 2) (+ (* (- 1/12 (* -1/360 (* x x))) (* x x)) 1) (- 1/12 (* -1/360 (* x x))) (* -1/360 (* x x)) -1/360)

Time

Variable

Point

Expression

5.0ms

-inf

((pow (pow (cosh x) -1/2) 2) (pow (cosh x) -1/2) (cosh x) x -1/2 2 (/ 2 (* (cosh x) 2)) (* (cosh x) 2) (+ (* (+ (* 1/12 (* x x)) 1) (* x x)) 2) (+ (* 1/12 (* x x)) 1) (* (* x x) 1/12) (* x x) 1/12 (/ 2 (* (cosh x) 2)) (* (cosh x) 2) (+ (* (+ (* (* 1/12 x) x) 1) (* x x)) 2) (+ (* (* 1/12 x) x) 1) (* 1/12 x) 1 (/ 2 (* (cosh x) 2)) (* (cosh x) 2) (+ (* (+ (* (* (+ (* (* x x) 1/360) 1/12) x) x) 1) (* x x)) 2) (+ (* (* (+ (* (* x x) 1/360) 1/12) x) x) 1) (* (+ (* (* x x) 1/360) 1/12) x) (+ (* (* x x) 1/360) 1/12) 1/360 (/ 2 (* (cosh x) 2)) (* (cosh x) 2) (+ (* (+ (* (- 1/12 (* -1/360 (* x x))) (* x x)) 1) (* x x)) 2) (+ (* (- 1/12 (* -1/360 (* x x))) (* x x)) 1) (- 1/12 (* -1/360 (* x x))) (* -1/360 (* x x)) -1/360)

5.0ms

((pow (pow (cosh x) -1/2) 2) (pow (cosh x) -1/2) (cosh x) x -1/2 2 (/ 2 (* (cosh x) 2)) (* (cosh x) 2) (+ (* (+ (* 1/12 (* x x)) 1) (* x x)) 2) (+ (* 1/12 (* x x)) 1) (* (* x x) 1/12) (* x x) 1/12 (/ 2 (* (cosh x) 2)) (* (cosh x) 2) (+ (* (+ (* (* 1/12 x) x) 1) (* x x)) 2) (+ (* (* 1/12 x) x) 1) (* 1/12 x) 1 (/ 2 (* (cosh x) 2)) (* (cosh x) 2) (+ (* (+ (* (* (+ (* (* x x) 1/360) 1/12) x) x) 1) (* x x)) 2) (+ (* (* (+ (* (* x x) 1/360) 1/12) x) x) 1) (* (+ (* (* x x) 1/360) 1/12) x) (+ (* (* x x) 1/360) 1/12) 1/360 (/ 2 (* (cosh x) 2)) (* (cosh x) 2) (+ (* (+ (* (- 1/12 (* -1/360 (* x x))) (* x x)) 1) (* x x)) 2) (+ (* (- 1/12 (* -1/360 (* x x))) (* x x)) 1) (- 1/12 (* -1/360 (* x x))) (* -1/360 (* x x)) -1/360)

4.0ms

inf

((pow (pow (cosh x) -1/2) 2) (pow (cosh x) -1/2) (cosh x) x -1/2 2 (/ 2 (* (cosh x) 2)) (* (cosh x) 2) (+ (* (+ (* 1/12 (* x x)) 1) (* x x)) 2) (+ (* 1/12 (* x x)) 1) (* (* x x) 1/12) (* x x) 1/12 (/ 2 (* (cosh x) 2)) (* (cosh x) 2) (+ (* (+ (* (* 1/12 x) x) 1) (* x x)) 2) (+ (* (* 1/12 x) x) 1) (* 1/12 x) 1 (/ 2 (* (cosh x) 2)) (* (cosh x) 2) (+ (* (+ (* (* (+ (* (* x x) 1/360) 1/12) x) x) 1) (* x x)) 2) (+ (* (* (+ (* (* x x) 1/360) 1/12) x) x) 1) (* (+ (* (* x x) 1/360) 1/12) x) (+ (* (* x x) 1/360) 1/12) 1/360 (/ 2 (* (cosh x) 2)) (* (cosh x) 2) (+ (* (+ (* (- 1/12 (* -1/360 (* x x))) (* x x)) 1) (* x x)) 2) (+ (* (- 1/12 (* -1/360 (* x x))) (* x x)) 1) (- 1/12 (* -1/360 (* x x))) (* -1/360 (* x x)) -1/360)

rewrite229.0ms (9.6%)

Memory

21.2MiB live, 348.5MiB allocated; 40ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	255	2047
0	297	1883
1	1277	1867
0	8644	1742

Stop Event

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

Counts

123 → 729

Calls

Call 1

Inputs
(pow.f64 (pow.f64 (cosh.f64 x) #s(literal -1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (cosh.f64 x) #s(literal -1/2 binary64))
(cosh.f64 x)
x
#s(literal -1/2 binary64)
#s(literal 2 binary64)
(/.f64 #s(literal 2 binary64) #s(approx (* (cosh x) 2) (fma.f64 #s(approx (+ (* 1/12 (* x x)) 1) (.f64 (.f64 x x) #s(literal 1/12 binary64))) (*.f64 x x) #s(literal 2 binary64))))
#s(approx (* (cosh x) 2) (fma.f64 #s(approx (+ (* 1/12 (* x x)) 1) (.f64 (.f64 x x) #s(literal 1/12 binary64))) (*.f64 x x) #s(literal 2 binary64)))
(fma.f64 #s(approx (+ (* 1/12 (* x x)) 1) (.f64 (.f64 x x) #s(literal 1/12 binary64))) (*.f64 x x) #s(literal 2 binary64))
#s(approx (+ (* 1/12 (* x x)) 1) (.f64 (.f64 x x) #s(literal 1/12 binary64)))
(.f64 (.f64 x x) #s(literal 1/12 binary64))
(*.f64 x x)
#s(literal 1/12 binary64)
(/.f64 #s(literal 2 binary64) #s(approx (* (cosh x) 2) (fma.f64 (fma.f64 (.f64 #s(literal 1/12 binary64) x) x #s(literal 1 binary64)) (.f64 x x) #s(literal 2 binary64))))
#s(approx (* (cosh x) 2) (fma.f64 (fma.f64 (.f64 #s(literal 1/12 binary64) x) x #s(literal 1 binary64)) (.f64 x x) #s(literal 2 binary64)))
(fma.f64 (fma.f64 (.f64 #s(literal 1/12 binary64) x) x #s(literal 1 binary64)) (.f64 x x) #s(literal 2 binary64))
(fma.f64 (*.f64 #s(literal 1/12 binary64) x) x #s(literal 1 binary64))
(*.f64 #s(literal 1/12 binary64) x)
#s(literal 1 binary64)
(/.f64 #s(literal 2 binary64) #s(approx (* (cosh x) 2) (fma.f64 (fma.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) x) x #s(literal 1 binary64)) (*.f64 x x) #s(literal 2 binary64))))
#s(approx (* (cosh x) 2) (fma.f64 (fma.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) x) x #s(literal 1 binary64)) (*.f64 x x) #s(literal 2 binary64)))
(fma.f64 (fma.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) x) x #s(literal 1 binary64)) (*.f64 x x) #s(literal 2 binary64))
(fma.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) x) x #s(literal 1 binary64))
(.f64 (fma.f64 (.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) x)
(fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64))
#s(literal 1/360 binary64)
(/.f64 #s(literal 2 binary64) #s(approx (* (cosh x) 2) (fma.f64 (fma.f64 (-.f64 #s(literal 1/12 binary64) (.f64 #s(literal -1/360 binary64) (.f64 x x))) (.f64 x x) #s(literal 1 binary64)) (.f64 x x) #s(literal 2 binary64))))
#s(approx (* (cosh x) 2) (fma.f64 (fma.f64 (-.f64 #s(literal 1/12 binary64) (.f64 #s(literal -1/360 binary64) (.f64 x x))) (.f64 x x) #s(literal 1 binary64)) (.f64 x x) #s(literal 2 binary64)))
(fma.f64 (fma.f64 (-.f64 #s(literal 1/12 binary64) (.f64 #s(literal -1/360 binary64) (.f64 x x))) (.f64 x x) #s(literal 1 binary64)) (.f64 x x) #s(literal 2 binary64))
(fma.f64 (-.f64 #s(literal 1/12 binary64) (.f64 #s(literal -1/360 binary64) (.f64 x x))) (*.f64 x x) #s(literal 1 binary64))
(-.f64 #s(literal 1/12 binary64) (.f64 #s(literal -1/360 binary64) (.f64 x x)))
(.f64 #s(literal -1/360 binary64) (.f64 x x))
#s(literal -1/360 binary64)
#s(approx (pow (pow (cosh x) -1/2) 2) #s(hole binary64 1))
#s(approx (pow (pow (cosh x) -1/2) 2) #s(hole binary64 (+ 1 (* -1/2 (pow x 2)))))
#s(approx (pow (pow (cosh x) -1/2) 2) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 5/24 (pow x 2)) 1/2)))))
#s(approx (pow (pow (cosh x) -1/2) 2) #s(hole binary64 (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 5/24 (* -61/720 (pow x 2)))) 1/2)))))
#s(approx (pow (cosh x) -1/2) #s(hole binary64 1))
#s(approx (pow (cosh x) -1/2) #s(hole binary64 (+ 1 (* -1/4 (pow x 2)))))
#s(approx (pow (cosh x) -1/2) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 7/96 (pow x 2)) 1/4)))))
#s(approx (pow (cosh x) -1/2) #s(hole binary64 (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 7/96 (* -139/5760 (pow x 2)))) 1/4)))))
#s(approx (cosh x) #s(hole binary64 1))
#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 (/ 2 (* (cosh x) 2)) #s(hole binary64 1))
#s(approx (/ 2 (* (cosh x) 2)) #s(hole binary64 (+ 1 (* -1/2 (pow x 2)))))
#s(approx (/ 2 (* (cosh x) 2)) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 5/24 (pow x 2)) 1/2)))))
#s(approx (/ 2 (* (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 (+ (* (+ (* 1/12 (* x x)) 1) (* x x)) 2) #s(hole binary64 2))
#s(approx (+ (* (+ (* 1/12 (* x x)) 1) (* x x)) 2) #s(hole binary64 (+ 2 (pow x 2))))
#s(approx (+ (* (+ (* 1/12 (* x x)) 1) (* x x)) 2) #s(hole binary64 (+ 2 (* (pow x 2) (+ 1 (* 1/12 (pow x 2)))))))
#s(approx (+ (* 1/12 (* x x)) 1) #s(hole binary64 1))
#s(approx (+ (* 1/12 (* x x)) 1) #s(hole binary64 (+ 1 (* 1/12 (pow x 2)))))
#s(approx (* (* x x) 1/12) #s(hole binary64 (* 1/12 (pow x 2))))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx (+ (* (+ (* (* 1/12 x) x) 1) (* x x)) 2) #s(hole binary64 2))
#s(approx (+ (* (+ (* (* 1/12 x) x) 1) (* x x)) 2) #s(hole binary64 (+ 2 (pow x 2))))
#s(approx (+ (* (+ (* (* 1/12 x) x) 1) (* x x)) 2) #s(hole binary64 (+ 2 (* (pow x 2) (+ 1 (* 1/12 (pow x 2)))))))
#s(approx (+ (* (* 1/12 x) x) 1) #s(hole binary64 1))
#s(approx (+ (* (* 1/12 x) x) 1) #s(hole binary64 (+ 1 (* 1/12 (pow x 2)))))
#s(approx (* 1/12 x) #s(hole binary64 (* 1/12 x)))
#s(approx (+ (* (+ (* (* (+ (* (* x x) 1/360) 1/12) x) x) 1) (* x x)) 2) #s(hole binary64 2))
#s(approx (+ (* (+ (* (* (+ (* (* x x) 1/360) 1/12) x) x) 1) (* x x)) 2) #s(hole binary64 (+ 2 (pow x 2))))
#s(approx (+ (* (+ (* (* (+ (* (* x x) 1/360) 1/12) x) x) 1) (* x x)) 2) #s(hole binary64 (+ 2 (* (pow x 2) (+ 1 (* 1/12 (pow x 2)))))))
#s(approx (+ (* (+ (* (* (+ (* (* x x) 1/360) 1/12) x) x) 1) (* x x)) 2) #s(hole binary64 (+ 2 (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2)))))))))
#s(approx (+ (* (* (+ (* (* x x) 1/360) 1/12) x) x) 1) #s(hole binary64 1))
#s(approx (+ (* (* (+ (* (* x x) 1/360) 1/12) x) x) 1) #s(hole binary64 (+ 1 (* 1/12 (pow x 2)))))
#s(approx (+ (* (* (+ (* (* x x) 1/360) 1/12) x) x) 1) #s(hole binary64 (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2)))))))
#s(approx (* (+ (* (* x x) 1/360) 1/12) x) #s(hole binary64 (* 1/12 x)))
#s(approx (* (+ (* (* x x) 1/360) 1/12) x) #s(hole binary64 (* x (+ 1/12 (* 1/360 (pow x 2))))))
#s(approx (+ (* (* x x) 1/360) 1/12) #s(hole binary64 1/12))
#s(approx (+ (* (* x x) 1/360) 1/12) #s(hole binary64 (+ 1/12 (* 1/360 (pow x 2)))))
#s(approx (+ (* (+ (* (- 1/12 (* -1/360 (* x x))) (* x x)) 1) (* x x)) 2) #s(hole binary64 2))
#s(approx (+ (* (+ (* (- 1/12 (* -1/360 (* x x))) (* x x)) 1) (* x x)) 2) #s(hole binary64 (+ 2 (pow x 2))))
#s(approx (+ (* (+ (* (- 1/12 (* -1/360 (* x x))) (* x x)) 1) (* x x)) 2) #s(hole binary64 (+ 2 (* (pow x 2) (+ 1 (* 1/12 (pow x 2)))))))
#s(approx (+ (* (+ (* (- 1/12 (* -1/360 (* x x))) (* x x)) 1) (* x x)) 2) #s(hole binary64 (+ 2 (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2)))))))))
#s(approx (+ (* (- 1/12 (* -1/360 (* x x))) (* x x)) 1) #s(hole binary64 1))
#s(approx (+ (* (- 1/12 (* -1/360 (* x x))) (* x x)) 1) #s(hole binary64 (+ 1 (* 1/12 (pow x 2)))))
#s(approx (+ (* (- 1/12 (* -1/360 (* x x))) (* x x)) 1) #s(hole binary64 (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2)))))))
#s(approx (- 1/12 (* -1/360 (* x x))) #s(hole binary64 1/12))
#s(approx (- 1/12 (* -1/360 (* x x))) #s(hole binary64 (+ 1/12 (* 1/360 (pow x 2)))))
#s(approx (* -1/360 (* x x)) #s(hole binary64 (* -1/360 (pow x 2))))
#s(approx (pow (pow (cosh x) -1/2) 2) #s(hole binary64 (/ 2 (+ (exp x) (/ 1 (exp x))))))
#s(approx (pow (cosh x) -1/2) #s(hole binary64 (* (sqrt 2) (sqrt (/ 1 (+ (exp x) (/ 1 (exp x))))))))
#s(approx (cosh x) #s(hole binary64 (* 1/2 (+ (exp x) (/ 1 (exp x))))))
#s(approx (/ 2 (* (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 (+ (* (+ (* 1/12 (* x x)) 1) (* x x)) 2) #s(hole binary64 (* 1/12 (pow x 4))))
#s(approx (+ (* (+ (* 1/12 (* x x)) 1) (* x x)) 2) #s(hole binary64 (* (pow x 4) (+ 1/12 (/ 1 (pow x 2))))))
#s(approx (+ (* (+ (* 1/12 (* x x)) 1) (* x x)) 2) #s(hole binary64 (* (pow x 4) (+ 1/12 (+ (/ 1 (pow x 2)) (/ 2 (pow x 4)))))))
#s(approx (+ (* 1/12 (* x x)) 1) #s(hole binary64 (* 1/12 (pow x 2))))
#s(approx (+ (* 1/12 (* x x)) 1) #s(hole binary64 (* (pow x 2) (+ 1/12 (/ 1 (pow x 2))))))
#s(approx (+ (* (+ (* (* 1/12 x) x) 1) (* x x)) 2) #s(hole binary64 (* 1/12 (pow x 4))))
#s(approx (+ (* (+ (* (* 1/12 x) x) 1) (* x x)) 2) #s(hole binary64 (* (pow x 4) (+ 1/12 (/ 1 (pow x 2))))))
#s(approx (+ (* (+ (* (* 1/12 x) x) 1) (* x x)) 2) #s(hole binary64 (* (pow x 4) (+ 1/12 (+ (/ 1 (pow x 2)) (/ 2 (pow x 4)))))))
#s(approx (+ (* (* 1/12 x) x) 1) #s(hole binary64 (* 1/12 (pow x 2))))
#s(approx (+ (* (* 1/12 x) x) 1) #s(hole binary64 (* (pow x 2) (+ 1/12 (/ 1 (pow x 2))))))
#s(approx (+ (* (+ (* (* (+ (* (* x x) 1/360) 1/12) x) x) 1) (* x x)) 2) #s(hole binary64 (* 1/360 (pow x 6))))
#s(approx (+ (* (+ (* (* (+ (* (* x x) 1/360) 1/12) x) x) 1) (* x x)) 2) #s(hole binary64 (* (pow x 6) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))))
#s(approx (+ (* (+ (* (* (+ (* (* x x) 1/360) 1/12) x) x) 1) (* x x)) 2) #s(hole binary64 (* (pow x 6) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))))
#s(approx (+ (* (+ (* (* (+ (* (* x x) 1/360) 1/12) x) x) 1) (* x x)) 2) #s(hole binary64 (* (pow x 6) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (+ (/ 1 (pow x 4)) (* 2 (/ 1 (pow x 6)))))))))
#s(approx (+ (* (* (+ (* (* x x) 1/360) 1/12) x) x) 1) #s(hole binary64 (* 1/360 (pow x 4))))
#s(approx (+ (* (* (+ (* (* x x) 1/360) 1/12) x) x) 1) #s(hole binary64 (* (pow x 4) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))))
#s(approx (+ (* (* (+ (* (* x x) 1/360) 1/12) x) x) 1) #s(hole binary64 (* (pow x 4) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))))
#s(approx (* (+ (* (* x x) 1/360) 1/12) x) #s(hole binary64 (* 1/360 (pow x 3))))
#s(approx (* (+ (* (* x x) 1/360) 1/12) x) #s(hole binary64 (* (pow x 3) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))))
#s(approx (+ (* (* x x) 1/360) 1/12) #s(hole binary64 (* 1/360 (pow x 2))))
#s(approx (+ (* (* x x) 1/360) 1/12) #s(hole binary64 (* (pow x 2) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))))
#s(approx (+ (* (+ (* (- 1/12 (* -1/360 (* x x))) (* x x)) 1) (* x x)) 2) #s(hole binary64 (* 1/360 (pow x 6))))
#s(approx (+ (* (+ (* (- 1/12 (* -1/360 (* x x))) (* x x)) 1) (* x x)) 2) #s(hole binary64 (* (pow x 6) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))))
#s(approx (+ (* (+ (* (- 1/12 (* -1/360 (* x x))) (* x x)) 1) (* x x)) 2) #s(hole binary64 (* (pow x 6) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))))
#s(approx (+ (* (+ (* (- 1/12 (* -1/360 (* x x))) (* x x)) 1) (* x x)) 2) #s(hole binary64 (* (pow x 6) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (+ (/ 1 (pow x 4)) (* 2 (/ 1 (pow x 6)))))))))
#s(approx (+ (* (- 1/12 (* -1/360 (* x x))) (* x x)) 1) #s(hole binary64 (* 1/360 (pow x 4))))
#s(approx (+ (* (- 1/12 (* -1/360 (* x x))) (* x x)) 1) #s(hole binary64 (* (pow x 4) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))))
#s(approx (+ (* (- 1/12 (* -1/360 (* x x))) (* x x)) 1) #s(hole binary64 (* (pow x 4) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))))
#s(approx (- 1/12 (* -1/360 (* x x))) #s(hole binary64 (* 1/360 (pow x 2))))
#s(approx (- 1/12 (* -1/360 (* x x))) #s(hole binary64 (* (pow x 2) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))))

Outputs
(.f64 (.f64 (pow.f64 (cosh.f64 x) #s(literal -1/2 binary64)) (pow.f64 (cosh.f64 x) #s(literal -1/4 binary64))) (pow.f64 (cosh.f64 x) #s(literal -1/4 binary64)))
(*.f64 (neg.f64 (pow.f64 (cosh.f64 x) #s(literal -1/2 binary64))) (neg.f64 (pow.f64 (cosh.f64 x) #s(literal -1/2 binary64))))
(*.f64 (fabs.f64 (pow.f64 (cosh.f64 x) #s(literal -1/2 binary64))) (fabs.f64 (pow.f64 (cosh.f64 x) #s(literal -1/2 binary64))))
(.f64 (pow.f64 (cosh.f64 x) #s(literal -1/4 binary64)) (.f64 (pow.f64 (cosh.f64 x) #s(literal -1/4 binary64)) (pow.f64 (cosh.f64 x) #s(literal -1/2 binary64))))
(*.f64 (pow.f64 (cosh.f64 x) #s(literal -1/2 binary64)) (pow.f64 (cosh.f64 x) #s(literal -1/2 binary64)))
(pow.f64 (*.f64 (cosh.f64 x) (cosh.f64 x)) #s(literal -1/2 binary64))
(pow.f64 (pow.f64 (cosh.f64 x) #s(literal -1 binary64)) #s(literal 1 binary64))
(pow.f64 (pow.f64 (cosh.f64 x) #s(literal -1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (cosh.f64 x) #s(literal -1 binary64))
(/.f64 #s(literal 1 binary64) (pow.f64 (cosh.f64 x) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (cosh.f64 x))
(exp.f64 (fma.f64 (log.f64 (cosh.f64 x)) #s(literal -1/2 binary64) (log.f64 (pow.f64 (cosh.f64 x) #s(literal -1/2 binary64)))))
(exp.f64 (*.f64 (log.f64 (cosh.f64 x)) #s(literal -1 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (cosh.f64 x) #s(literal -1/2 binary64))) #s(literal 2 binary64)))
(+.f64 (cosh.f64 (.f64 (log.f64 (pow.f64 (cosh.f64 x) #s(literal -1/2 binary64))) #s(literal 2 binary64))) (sinh.f64 (.f64 (log.f64 (pow.f64 (cosh.f64 x) #s(literal -1/2 binary64))) #s(literal 2 binary64))))
(*.f64 (pow.f64 (pow.f64 (cosh.f64 x) #s(literal -1/2 binary64)) #s(literal 1/2 binary64)) (pow.f64 (pow.f64 (cosh.f64 x) #s(literal -1/2 binary64)) #s(literal 1/2 binary64)))
(*.f64 (neg.f64 (pow.f64 (cosh.f64 x) #s(literal -1/4 binary64))) (neg.f64 (pow.f64 (cosh.f64 x) #s(literal -1/4 binary64))))
(*.f64 (fabs.f64 (pow.f64 (cosh.f64 x) #s(literal -1/4 binary64))) (fabs.f64 (pow.f64 (cosh.f64 x) #s(literal -1/4 binary64))))
(*.f64 (pow.f64 (pow.f64 (cosh.f64 x) #s(literal -1/4 binary64)) #s(literal 1 binary64)) (pow.f64 (pow.f64 (cosh.f64 x) #s(literal -1/4 binary64)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (cosh.f64 x) #s(literal -1/4 binary64)) (pow.f64 (cosh.f64 x) #s(literal -1/4 binary64)))
(pow.f64 (exp.f64 (log.f64 (cosh.f64 x))) #s(literal -1/2 binary64))
(pow.f64 (*.f64 (cosh.f64 x) (cosh.f64 x)) #s(literal -1/4 binary64))
(pow.f64 (pow.f64 (cosh.f64 x) #s(literal -1/4 binary64)) #s(literal 2 binary64))
(pow.f64 (pow.f64 (cosh.f64 x) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(pow.f64 (cosh.f64 x) #s(literal -1/2 binary64))
(/.f64 #s(literal 1 binary64) (pow.f64 (cosh.f64 x) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (cosh.f64 x) #s(literal -1/2 binary64))) #s(literal 1 binary64)))
(exp.f64 (log.f64 (pow.f64 (cosh.f64 x) #s(literal -1/2 binary64))))
(+.f64 (cosh.f64 (log.f64 (pow.f64 (cosh.f64 x) #s(literal -1/2 binary64)))) (sinh.f64 (log.f64 (pow.f64 (cosh.f64 x) #s(literal -1/2 binary64)))))
(/.f64 (*.f64 #s(literal -2 binary64) (cosh.f64 x)) #s(literal -2 binary64))
(/.f64 (*.f64 (cosh.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64))
(cosh.f64 (neg.f64 (neg.f64 x)))
(cosh.f64 (neg.f64 x))
(cosh.f64 x)
(+.f64 (/.f64 (exp.f64 (neg.f64 x)) #s(literal 2 binary64)) (/.f64 (exp.f64 x) #s(literal 2 binary64)))
(+.f64 (/.f64 (exp.f64 x) #s(literal 2 binary64)) (/.f64 (exp.f64 (neg.f64 x)) #s(literal 2 binary64)))
x
#s(literal -1/2 binary64)
#s(literal 2 binary64)
(/.f64 #s(literal -2 binary64) (neg.f64 #s(approx (* (cosh x) 2) (fma.f64 #s(approx (+ (* 1/12 (* x x)) 1) (.f64 (.f64 x x) #s(literal 1/12 binary64))) (*.f64 x x) #s(literal 2 binary64)))))
(/.f64 #s(literal 2 binary64) (neg.f64 (neg.f64 #s(approx (* (cosh x) 2) (fma.f64 #s(approx (+ (* 1/12 (* x x)) 1) (.f64 (.f64 x x) #s(literal 1/12 binary64))) (*.f64 x x) #s(literal 2 binary64))))))
(/.f64 #s(literal 2 binary64) #s(approx (* (cosh x) 2) (fma.f64 #s(approx (+ (* 1/12 (* x x)) 1) (.f64 (.f64 x x) #s(literal 1/12 binary64))) (*.f64 x x) #s(literal 2 binary64))))
(neg.f64 (/.f64 #s(literal -2 binary64) #s(approx (* (cosh x) 2) (fma.f64 #s(approx (+ (* 1/12 (* x x)) 1) (.f64 (.f64 x x) #s(literal 1/12 binary64))) (*.f64 x x) #s(literal 2 binary64)))))
(neg.f64 (/.f64 #s(literal 2 binary64) (neg.f64 #s(approx (* (cosh x) 2) (fma.f64 #s(approx (+ (* 1/12 (* x x)) 1) (.f64 (.f64 x x) #s(literal 1/12 binary64))) (*.f64 x x) #s(literal 2 binary64))))))
(+.f64 (/.f64 #s(literal 1 binary64) #s(approx (* (cosh x) 2) (fma.f64 #s(approx (+ (* 1/12 (* x x)) 1) (.f64 (.f64 x x) #s(literal 1/12 binary64))) (.f64 x x) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) #s(approx ( (cosh x) 2) (fma.f64 #s(approx (+ (* 1/12 (* x x)) 1) (.f64 (.f64 x x) #s(literal 1/12 binary64))) (*.f64 x x) #s(literal 2 binary64)))))
#s(approx (* (cosh x) 2) (fma.f64 #s(approx (+ (* 1/12 (* x x)) 1) (.f64 (.f64 x x) #s(literal 1/12 binary64))) (*.f64 x x) #s(literal 2 binary64)))
(/.f64 (-.f64 #s(literal 4 binary64) (pow.f64 (.f64 #s(approx (+ ( 1/12 (* x x)) 1) (.f64 (.f64 x x) #s(literal 1/12 binary64))) (.f64 x x)) #s(literal 2 binary64))) (-.f64 #s(literal 2 binary64) (.f64 #s(approx (+ (* 1/12 (* x x)) 1) (.f64 (.f64 x x) #s(literal 1/12 binary64))) (*.f64 x x))))
(/.f64 (+.f64 #s(literal 8 binary64) (pow.f64 (.f64 #s(approx (+ ( 1/12 (* x x)) 1) (.f64 (.f64 x x) #s(literal 1/12 binary64))) (.f64 x x)) #s(literal 3 binary64))) (+.f64 #s(literal 4 binary64) (-.f64 (pow.f64 (.f64 #s(approx (+ (* 1/12 (* x x)) 1) (.f64 (.f64 x x) #s(literal 1/12 binary64))) (.f64 x x)) #s(literal 2 binary64)) (.f64 #s(literal 2 binary64) (.f64 #s(approx (+ ( 1/12 (* x x)) 1) (.f64 (.f64 x x) #s(literal 1/12 binary64))) (*.f64 x x))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (.f64 #s(approx (+ ( 1/12 (* x x)) 1) (.f64 (.f64 x x) #s(literal 1/12 binary64))) (.f64 x x)) #s(literal 2 binary64)) #s(literal 4 binary64))) (neg.f64 (fma.f64 #s(approx (+ ( 1/12 (* x x)) 1) (.f64 (.f64 x x) #s(literal 1/12 binary64))) (*.f64 x x) #s(literal -2 binary64))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 #s(approx (+ (* 1/12 (* x x)) 1) (.f64 (.f64 x x) #s(literal 1/12 binary64))) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)) #s(literal 8 binary64))) (neg.f64 (+.f64 (pow.f64 (.f64 #s(approx (+ ( 1/12 (* x x)) 1) (.f64 (.f64 x x) #s(literal 1/12 binary64))) (.f64 x x)) #s(literal 2 binary64)) (-.f64 #s(literal 4 binary64) (.f64 #s(approx (+ (* 1/12 (* x x)) 1) (.f64 (.f64 x x) #s(literal 1/12 binary64))) (.f64 (.f64 x x) #s(literal 2 binary64)))))))
(/.f64 (-.f64 (pow.f64 (.f64 #s(approx (+ ( 1/12 (* x x)) 1) (.f64 (.f64 x x) #s(literal 1/12 binary64))) (.f64 x x)) #s(literal 2 binary64)) #s(literal 4 binary64)) (fma.f64 #s(approx (+ ( 1/12 (* x x)) 1) (.f64 (.f64 x x) #s(literal 1/12 binary64))) (*.f64 x x) #s(literal -2 binary64)))
(/.f64 (fma.f64 (pow.f64 #s(approx (+ (* 1/12 (* x x)) 1) (.f64 (.f64 x x) #s(literal 1/12 binary64))) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)) #s(literal 8 binary64)) (+.f64 (pow.f64 (.f64 #s(approx (+ ( 1/12 (* x x)) 1) (.f64 (.f64 x x) #s(literal 1/12 binary64))) (.f64 x x)) #s(literal 2 binary64)) (-.f64 #s(literal 4 binary64) (.f64 #s(approx (+ (* 1/12 (* x x)) 1) (.f64 (.f64 x x) #s(literal 1/12 binary64))) (.f64 (.f64 x x) #s(literal 2 binary64))))))
(fma.f64 (.f64 #s(approx (+ ( 1/12 (* x x)) 1) (.f64 (.f64 x x) #s(literal 1/12 binary64))) (fabs.f64 x)) (fabs.f64 x) #s(literal 2 binary64))
(fma.f64 (.f64 #s(approx (+ ( 1/12 (* x x)) 1) (.f64 (.f64 x x) #s(literal 1/12 binary64))) (neg.f64 x)) (neg.f64 x) #s(literal 2 binary64))
(fma.f64 (.f64 #s(approx (+ ( 1/12 (* x x)) 1) (.f64 (.f64 x x) #s(literal 1/12 binary64))) x) x #s(literal 2 binary64))
(fma.f64 (fabs.f64 x) (.f64 (fabs.f64 x) #s(approx (+ ( 1/12 (* x x)) 1) (.f64 (.f64 x x) #s(literal 1/12 binary64)))) #s(literal 2 binary64))
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(fma.f64 #s(literal 1/360 binary64) (*.f64 x x) #s(literal 1/12 binary64))
(fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64))
(fma.f64 x (*.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64))
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(.f64 x (.f64 x #s(literal -1/360 binary64)))
(neg.f64 (.f64 #s(literal 1/360 binary64) (.f64 x x)))
#s(literal -1/360 binary64)
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#s(approx x x)
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#s(approx (* (+ (* (* x x) 1/360) 1/12) x) (*.f64 #s(literal 1/12 binary64) x))
#s(approx (* (+ (* (* x x) 1/360) 1/12) x) (.f64 (fma.f64 #s(literal 1/360 binary64) (.f64 x x) #s(literal 1/12 binary64)) x))
#s(approx (+ (* (* x x) 1/360) 1/12) #s(literal 1/12 binary64))
#s(approx (+ (* (* x x) 1/360) 1/12) (fma.f64 #s(literal 1/360 binary64) (*.f64 x x) #s(literal 1/12 binary64)))
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#s(approx (+ (* (* x x) 1/360) 1/12) #s(literal 1/12 binary64))
#s(approx (+ (* (* x x) 1/360) 1/12) (fma.f64 #s(literal 1/360 binary64) (*.f64 x x) #s(literal 1/12 binary64)))
#s(approx (* -1/360 (* x x)) (.f64 #s(literal -1/360 binary64) (.f64 x x)))
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#s(approx (pow (cosh x) -1/2) (sqrt.f64 (*.f64 #s(literal 1 binary64) (pow.f64 (cosh.f64 x) #s(literal -1 binary64)))))
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#s(approx (+ (* (+ (* 1/12 (* x x)) 1) (* x x)) 2) (*.f64 (+.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 4 binary64)))) (pow.f64 x #s(literal -2 binary64))) (pow.f64 x #s(literal 4 binary64))))
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#s(approx (+ (* (+ (* 1/12 (* x x)) 1) (* x x)) 2) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64)))
#s(approx (+ (* (+ (* 1/12 (* x x)) 1) (* x x)) 2) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64) (*.f64 x x)))
#s(approx (+ (* (+ (* 1/12 (* x x)) 1) (* x x)) 2) (*.f64 (+.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 4 binary64)))) (pow.f64 x #s(literal -2 binary64))) (pow.f64 x #s(literal 4 binary64))))
#s(approx (+ (* 1/12 (* x x)) 1) (.f64 (.f64 x x) #s(literal 1/12 binary64)))
#s(approx (+ (* 1/12 (* x x)) 1) (fma.f64 (*.f64 #s(literal 1/12 binary64) x) x #s(literal 1 binary64)))
#s(approx (+ (* (+ (* (* (+ (* (* x x) 1/360) 1/12) x) x) 1) (* x x)) 2) (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/360 binary64)))
#s(approx (+ (* (+ (* (* (+ (* (* x x) 1/360) 1/12) x) x) 1) (* x x)) 2) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64) (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/360 binary64))))
#s(approx (+ (* (+ (* (* (+ (* (* x x) 1/360) 1/12) x) x) 1) (* x x)) 2) (*.f64 (+.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/12 binary64) (pow.f64 x #s(literal -4 binary64))) #s(literal 1/360 binary64)) (pow.f64 x #s(literal 6 binary64))))
#s(approx (+ (* (+ (* (* (+ (* (* x x) 1/360) 1/12) x) x) 1) (* x x)) 2) (*.f64 (+.f64 (fma.f64 (pow.f64 x #s(literal -6 binary64)) #s(literal 2 binary64) (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/12 binary64) (pow.f64 x #s(literal -4 binary64)))) #s(literal 1/360 binary64)) (pow.f64 x #s(literal 6 binary64))))
#s(approx (+ (* (* (+ (* (* x x) 1/360) 1/12) x) x) 1) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/360 binary64)))
#s(approx (+ (* (* (+ (* (* x x) 1/360) 1/12) x) x) 1) (*.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/12 binary64) #s(literal 1/360 binary64)) (pow.f64 x #s(literal 4 binary64))))
#s(approx (+ (* (* (+ (* (* x x) 1/360) 1/12) x) x) 1) (*.f64 (+.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/12 binary64) (pow.f64 x #s(literal -4 binary64))) #s(literal 1/360 binary64)) (pow.f64 x #s(literal 4 binary64))))
#s(approx (* (+ (* (* x x) 1/360) 1/12) x) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/360 binary64)))
#s(approx (* (+ (* (* x x) 1/360) 1/12) x) (.f64 (fma.f64 #s(literal 1/360 binary64) (.f64 x x) #s(literal 1/12 binary64)) x))
#s(approx (+ (* (* x x) 1/360) 1/12) (.f64 #s(literal 1/360 binary64) (.f64 x x)))
#s(approx (+ (* (* x x) 1/360) 1/12) (fma.f64 #s(literal 1/360 binary64) (*.f64 x x) #s(literal 1/12 binary64)))
#s(approx (+ (* (+ (* (* (+ (* (* x x) 1/360) 1/12) x) x) 1) (* x x)) 2) (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/360 binary64)))
#s(approx (+ (* (+ (* (* (+ (* (* x x) 1/360) 1/12) x) x) 1) (* x x)) 2) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64) (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/360 binary64))))
#s(approx (+ (* (+ (* (* (+ (* (* x x) 1/360) 1/12) x) x) 1) (* x x)) 2) (*.f64 (+.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/12 binary64) (pow.f64 x #s(literal -4 binary64))) #s(literal 1/360 binary64)) (pow.f64 x #s(literal 6 binary64))))
#s(approx (+ (* (+ (* (* (+ (* (* x x) 1/360) 1/12) x) x) 1) (* x x)) 2) (*.f64 (+.f64 (fma.f64 (pow.f64 x #s(literal -6 binary64)) #s(literal 2 binary64) (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/12 binary64) (pow.f64 x #s(literal -4 binary64)))) #s(literal 1/360 binary64)) (pow.f64 x #s(literal 6 binary64))))
#s(approx (+ (* (* (+ (* (* x x) 1/360) 1/12) x) x) 1) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/360 binary64)))
#s(approx (+ (* (* (+ (* (* x x) 1/360) 1/12) x) x) 1) (*.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/12 binary64) #s(literal 1/360 binary64)) (pow.f64 x #s(literal 4 binary64))))
#s(approx (+ (* (* (+ (* (* x x) 1/360) 1/12) x) x) 1) (*.f64 (+.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/12 binary64) (pow.f64 x #s(literal -4 binary64))) #s(literal 1/360 binary64)) (pow.f64 x #s(literal 4 binary64))))
#s(approx (+ (* (* x x) 1/360) 1/12) (.f64 #s(literal 1/360 binary64) (.f64 x x)))
#s(approx (+ (* (* x x) 1/360) 1/12) (fma.f64 #s(literal 1/360 binary64) (*.f64 x x) #s(literal 1/12 binary64)))

eval101.0ms (4.2%)

Memory: 22.8MiB live, 251.0MiB allocated; 35ms collecting garbage
Compiler: Compiled 20 434 to 3 492 computations (82.9% saved)

prune41.0ms (1.7%)

Memory

-30.1MiB live, 78.6MiB allocated; 38ms collecting garbage

Pruning

17 alts after pruning (8 fresh and 9 done)

	Pruned	Kept	Total
New	757	6	763
Fresh	2	2	4
Picked	1	4	5
Done	0	5	5
Total	760	17	777

Accuracy

100.0%

Counts

777 → 17

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(pow.f64 (pow.f64 (cosh.f64 x) #s(literal -1/2 binary64)) #s(literal 2 binary64))
✓	76.4%	(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 x x #s(literal 2 binary64))))
✓	26.1%	(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) #s(approx (+ (* x x) 2) (*.f64 x x))))
✓	89.4%	(/.f64 #s(literal 2 binary64) #s(approx (* (cosh x) 2) (fma.f64 (fma.f64 (-.f64 #s(literal 1/12 binary64) (.f64 #s(literal -1/360 binary64) (.f64 x x))) (.f64 x x) #s(literal 1 binary64)) (.f64 x x) #s(literal 2 binary64))))
✓	89.4%	(/.f64 #s(literal 2 binary64) #s(approx (* (cosh x) 2) (fma.f64 (fma.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) x) x #s(literal 1 binary64)) (*.f64 x x) #s(literal 2 binary64))))
	89.4%	(/.f64 #s(literal 2 binary64) #s(approx (* (cosh x) 2) (fma.f64 (fma.f64 (.f64 (fma.f64 (.f64 #s(literal 1/360 binary64) x) x #s(literal 1/12 binary64)) x) x #s(literal 1 binary64)) (*.f64 x x) #s(literal 2 binary64))))
	89.4%	(/.f64 #s(literal 2 binary64) #s(approx (* (cosh x) 2) (fma.f64 (fma.f64 (.f64 #s(approx (+ ( (* x x) 1/360) 1/12) (.f64 #s(literal 1/360 binary64) (.f64 x x))) x) x #s(literal 1 binary64)) (*.f64 x x) #s(literal 2 binary64))))
	86.1%	(/.f64 #s(literal 2 binary64) #s(approx (* (cosh x) 2) (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/12 binary64) #s(literal 1 binary64)) (.f64 x x) #s(literal 2 binary64))))
	89.4%	(/.f64 #s(literal 2 binary64) #s(approx (* (cosh x) 2) (fma.f64 (fma.f64 #s(approx (+ (* 1/360 (* x x)) 1/12) (.f64 (.f64 x x) #s(literal 1/360 binary64))) (.f64 x x) #s(literal 1 binary64)) (.f64 x x) #s(literal 2 binary64))))
	86.1%	(/.f64 #s(literal 2 binary64) #s(approx (* (cosh x) 2) (fma.f64 (.f64 (fma.f64 (.f64 #s(literal 1/12 binary64) x) x #s(literal 1 binary64)) x) x #s(literal 2 binary64))))
	86.0%	(/.f64 #s(literal 2 binary64) #s(approx (* (cosh x) 2) (fma.f64 (.f64 #s(approx (+ ( 1/12 (* x x)) 1) (.f64 (.f64 x x) #s(literal 1/12 binary64))) x) x #s(literal 2 binary64))))
✓	86.0%	(/.f64 #s(literal 2 binary64) #s(approx (* (cosh x) 2) (fma.f64 #s(approx (+ (* 1/12 (* x x)) 1) (.f64 (.f64 x x) #s(literal 1/12 binary64))) (*.f64 x x) #s(literal 2 binary64))))
	86.0%	(/.f64 #s(literal 2 binary64) #s(approx (* (cosh x) 2) (fma.f64 #s(approx (+ (* 1/12 (* x x)) 1) (.f64 (.f64 #s(literal 1/12 binary64) x) x)) (*.f64 x x) #s(literal 2 binary64))))
	59.8%	(/.f64 #s(literal 2 binary64) #s(approx (* (cosh x) 2) (/.f64 (-.f64 (.f64 (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/12 binary64) #s(literal 1 binary64)) x) x) (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/12 binary64) #s(literal 1 binary64)) x) x)) #s(literal 4 binary64)) (-.f64 (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/12 binary64) #s(literal 1 binary64)) x) x) #s(literal 2 binary64)))))
✓	100.0%	(/.f64 #s(literal 1 binary64) (cosh.f64 x))
✓	53.3%	#s(approx (/ 2 (+ (exp x) (exp (neg x)))) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64)))
✓	53.9%	#s(approx (/ 2 (+ (exp x) (exp (neg x)))) #s(literal 1 binary64))

Compiler

Compiled 833 to 370 computations (55.6% saved)

regimes20.0ms (0.8%)

Memory

11.1MiB live, 56.7MiB allocated; 4ms collecting garbage

Counts

25 → 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))) #s(approx (+ (* x x) 2) (*.f64 x x))))
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 x x #s(literal 2 binary64))))
(/.f64 #s(literal 2 binary64) #s(approx (* (cosh x) 2) (fma.f64 #s(approx (+ (* 1/12 (* x x)) 1) (.f64 (.f64 #s(literal 1/12 binary64) x) x)) (*.f64 x x) #s(literal 2 binary64))))
(/.f64 #s(literal 2 binary64) #s(approx (* (cosh x) 2) (fma.f64 #s(approx (+ (* 1/12 (* x x)) 1) (.f64 (.f64 x x) #s(literal 1/12 binary64))) (*.f64 x x) #s(literal 2 binary64))))
(/.f64 #s(literal 2 binary64) #s(approx (* (cosh x) 2) (fma.f64 (.f64 #s(approx (+ ( 1/12 (* x x)) 1) (.f64 (.f64 x x) #s(literal 1/12 binary64))) x) x #s(literal 2 binary64))))
(/.f64 #s(literal 2 binary64) #s(approx (* (cosh x) 2) (fma.f64 (.f64 (fma.f64 (.f64 #s(literal 1/12 binary64) x) x #s(literal 1 binary64)) x) x #s(literal 2 binary64))))
(/.f64 #s(literal 2 binary64) #s(approx (* (cosh x) 2) (fma.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/12 binary64) #s(literal 1 binary64)) x) x #s(literal 2 binary64))))
(/.f64 #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))))
(/.f64 #s(literal 2 binary64) #s(approx (* (cosh x) 2) (fma.f64 (fma.f64 (.f64 #s(literal 1/12 binary64) x) x #s(literal 1 binary64)) (.f64 x x) #s(literal 2 binary64))))
(/.f64 #s(literal 2 binary64) #s(approx (* (cosh x) 2) (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/12 binary64) #s(literal 1 binary64)) (.f64 x x) #s(literal 2 binary64))))
(/.f64 #s(literal 2 binary64) #s(approx (* (cosh x) 2) (fma.f64 (fma.f64 #s(approx (+ (* 1/360 (* x x)) 1/12) (.f64 (.f64 x x) #s(literal 1/360 binary64))) (.f64 x x) #s(literal 1 binary64)) (.f64 x x) #s(literal 2 binary64))))
(/.f64 #s(literal 2 binary64) #s(approx (* (cosh x) 2) (fma.f64 (fma.f64 (.f64 #s(approx (+ ( (* x x) 1/360) 1/12) (.f64 #s(literal 1/360 binary64) (.f64 x x))) x) x #s(literal 1 binary64)) (*.f64 x x) #s(literal 2 binary64))))
(/.f64 #s(literal 2 binary64) #s(approx (* (cosh x) 2) (fma.f64 (fma.f64 (.f64 (fma.f64 (.f64 #s(literal 1/360 binary64) x) x #s(literal 1/12 binary64)) x) x #s(literal 1 binary64)) (*.f64 x x) #s(literal 2 binary64))))
(/.f64 #s(literal 2 binary64) #s(approx (* (cosh x) 2) (fma.f64 (fma.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) x) x #s(literal 1 binary64)) (*.f64 x x) #s(literal 2 binary64))))
(/.f64 #s(literal 2 binary64) #s(approx (* (cosh x) 2) (fma.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)) (*.f64 x x) #s(literal 2 binary64))))
(/.f64 #s(literal 2 binary64) #s(approx (* (cosh x) 2) (fma.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/360 binary64) x) x #s(literal 1/12 binary64)) (.f64 x x) #s(literal 1 binary64)) (*.f64 x x) #s(literal 2 binary64))))
(/.f64 #s(literal 2 binary64) #s(approx (* (cosh x) 2) (fma.f64 (fma.f64 (-.f64 #s(literal 1/12 binary64) (.f64 #s(literal -1/360 binary64) (.f64 x x))) (.f64 x x) #s(literal 1 binary64)) (.f64 x x) #s(literal 2 binary64))))
(/.f64 #s(literal 2 binary64) #s(approx (* (cosh x) 2) (/.f64 (-.f64 (.f64 (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/12 binary64) #s(literal 1 binary64)) x) x) (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/12 binary64) #s(literal 1 binary64)) x) x)) #s(literal 4 binary64)) (-.f64 (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/12 binary64) #s(literal 1 binary64)) 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))))
(pow.f64 (pow.f64 (cosh.f64 x) #s(literal -1/2 binary64)) #s(literal 2 binary64))
(.f64 (/.f64 #s(literal 2 binary64) (.f64 (.f64 (cosh.f64 x) #s(literal 2 binary64)) (.f64 #s(literal 2 binary64) (sinh.f64 x)))) (*.f64 #s(literal 2 binary64) (sinh.f64 x)))
(*.f64 (pow.f64 (cosh.f64 x) #s(literal -1/2 binary64)) (pow.f64 (cosh.f64 x) #s(literal -1/2 binary64)))

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

Calls

3 calls:

7.0ms	(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
7.0ms	x
5.0ms	(+.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 15 to 13 computations (13.3% saved)

regimes16.0ms (0.7%)

Memory

0.9MiB live, 47.8MiB allocated; 2ms collecting garbage

Counts

20 → 2

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))) #s(approx (+ (* x x) 2) (*.f64 x x))))
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 x x #s(literal 2 binary64))))
(/.f64 #s(literal 2 binary64) #s(approx (* (cosh x) 2) (fma.f64 #s(approx (+ (* 1/12 (* x x)) 1) (.f64 (.f64 #s(literal 1/12 binary64) x) x)) (*.f64 x x) #s(literal 2 binary64))))
(/.f64 #s(literal 2 binary64) #s(approx (* (cosh x) 2) (fma.f64 #s(approx (+ (* 1/12 (* x x)) 1) (.f64 (.f64 x x) #s(literal 1/12 binary64))) (*.f64 x x) #s(literal 2 binary64))))
(/.f64 #s(literal 2 binary64) #s(approx (* (cosh x) 2) (fma.f64 (.f64 #s(approx (+ ( 1/12 (* x x)) 1) (.f64 (.f64 x x) #s(literal 1/12 binary64))) x) x #s(literal 2 binary64))))
(/.f64 #s(literal 2 binary64) #s(approx (* (cosh x) 2) (fma.f64 (.f64 (fma.f64 (.f64 #s(literal 1/12 binary64) x) x #s(literal 1 binary64)) x) x #s(literal 2 binary64))))
(/.f64 #s(literal 2 binary64) #s(approx (* (cosh x) 2) (fma.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/12 binary64) #s(literal 1 binary64)) x) x #s(literal 2 binary64))))
(/.f64 #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))))
(/.f64 #s(literal 2 binary64) #s(approx (* (cosh x) 2) (fma.f64 (fma.f64 (.f64 #s(literal 1/12 binary64) x) x #s(literal 1 binary64)) (.f64 x x) #s(literal 2 binary64))))
(/.f64 #s(literal 2 binary64) #s(approx (* (cosh x) 2) (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/12 binary64) #s(literal 1 binary64)) (.f64 x x) #s(literal 2 binary64))))
(/.f64 #s(literal 2 binary64) #s(approx (* (cosh x) 2) (fma.f64 (fma.f64 #s(approx (+ (* 1/360 (* x x)) 1/12) (.f64 (.f64 x x) #s(literal 1/360 binary64))) (.f64 x x) #s(literal 1 binary64)) (.f64 x x) #s(literal 2 binary64))))
(/.f64 #s(literal 2 binary64) #s(approx (* (cosh x) 2) (fma.f64 (fma.f64 (.f64 #s(approx (+ ( (* x x) 1/360) 1/12) (.f64 #s(literal 1/360 binary64) (.f64 x x))) x) x #s(literal 1 binary64)) (*.f64 x x) #s(literal 2 binary64))))
(/.f64 #s(literal 2 binary64) #s(approx (* (cosh x) 2) (fma.f64 (fma.f64 (.f64 (fma.f64 (.f64 #s(literal 1/360 binary64) x) x #s(literal 1/12 binary64)) x) x #s(literal 1 binary64)) (*.f64 x x) #s(literal 2 binary64))))
(/.f64 #s(literal 2 binary64) #s(approx (* (cosh x) 2) (fma.f64 (fma.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) x) x #s(literal 1 binary64)) (*.f64 x x) #s(literal 2 binary64))))
(/.f64 #s(literal 2 binary64) #s(approx (* (cosh x) 2) (fma.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)) (*.f64 x x) #s(literal 2 binary64))))
(/.f64 #s(literal 2 binary64) #s(approx (* (cosh x) 2) (fma.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/360 binary64) x) x #s(literal 1/12 binary64)) (.f64 x x) #s(literal 1 binary64)) (*.f64 x x) #s(literal 2 binary64))))
(/.f64 #s(literal 2 binary64) #s(approx (* (cosh x) 2) (fma.f64 (fma.f64 (-.f64 #s(literal 1/12 binary64) (.f64 #s(literal -1/360 binary64) (.f64 x x))) (.f64 x x) #s(literal 1 binary64)) (.f64 x x) #s(literal 2 binary64))))
(/.f64 #s(literal 2 binary64) #s(approx (* (cosh x) 2) (/.f64 (-.f64 (.f64 (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/12 binary64) #s(literal 1 binary64)) x) x) (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/12 binary64) #s(literal 1 binary64)) x) x)) #s(literal 4 binary64)) (-.f64 (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/12 binary64) #s(literal 1 binary64)) x) x) #s(literal 2 binary64)))))

Outputs

(/.f64 #s(literal 2 binary64) #s(approx (* (cosh x) 2) (/.f64 (-.f64 (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/12 binary64) #s(literal 1 binary64)) x) x) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/12 binary64) #s(literal 1 binary64)) x) x)) #s(literal 4 binary64)) (-.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/12 binary64) #s(literal 1 binary64)) x) x) #s(literal 2 binary64)))))

(/.f64 #s(literal 2 binary64) #s(approx (* (cosh x) 2) (fma.f64 #s(approx (+ (* 1/12 (* x x)) 1) (*.f64 (*.f64 #s(literal 1/12 binary64) x) x)) (*.f64 x x) #s(literal 2 binary64))))

Calls

3 calls:

5.0ms	x
4.0ms	(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
4.0ms	(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))

Results

Accuracy	Segments	Branch
89.4%	1	`(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))`
89.4%	1	`(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))`
92.6%	2	`x`

Compiler

Compiled 15 to 13 computations (13.3% saved)

regimes6.0ms (0.3%)

Memory

17.5MiB live, 17.4MiB allocated; 0ms collecting garbage

Counts

19 → 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))) #s(approx (+ (* x x) 2) (*.f64 x x))))
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 x x #s(literal 2 binary64))))
(/.f64 #s(literal 2 binary64) #s(approx (* (cosh x) 2) (fma.f64 #s(approx (+ (* 1/12 (* x x)) 1) (.f64 (.f64 #s(literal 1/12 binary64) x) x)) (*.f64 x x) #s(literal 2 binary64))))
(/.f64 #s(literal 2 binary64) #s(approx (* (cosh x) 2) (fma.f64 #s(approx (+ (* 1/12 (* x x)) 1) (.f64 (.f64 x x) #s(literal 1/12 binary64))) (*.f64 x x) #s(literal 2 binary64))))
(/.f64 #s(literal 2 binary64) #s(approx (* (cosh x) 2) (fma.f64 (.f64 #s(approx (+ ( 1/12 (* x x)) 1) (.f64 (.f64 x x) #s(literal 1/12 binary64))) x) x #s(literal 2 binary64))))
(/.f64 #s(literal 2 binary64) #s(approx (* (cosh x) 2) (fma.f64 (.f64 (fma.f64 (.f64 #s(literal 1/12 binary64) x) x #s(literal 1 binary64)) x) x #s(literal 2 binary64))))
(/.f64 #s(literal 2 binary64) #s(approx (* (cosh x) 2) (fma.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/12 binary64) #s(literal 1 binary64)) x) x #s(literal 2 binary64))))
(/.f64 #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))))
(/.f64 #s(literal 2 binary64) #s(approx (* (cosh x) 2) (fma.f64 (fma.f64 (.f64 #s(literal 1/12 binary64) x) x #s(literal 1 binary64)) (.f64 x x) #s(literal 2 binary64))))
(/.f64 #s(literal 2 binary64) #s(approx (* (cosh x) 2) (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/12 binary64) #s(literal 1 binary64)) (.f64 x x) #s(literal 2 binary64))))
(/.f64 #s(literal 2 binary64) #s(approx (* (cosh x) 2) (fma.f64 (fma.f64 #s(approx (+ (* 1/360 (* x x)) 1/12) (.f64 (.f64 x x) #s(literal 1/360 binary64))) (.f64 x x) #s(literal 1 binary64)) (.f64 x x) #s(literal 2 binary64))))
(/.f64 #s(literal 2 binary64) #s(approx (* (cosh x) 2) (fma.f64 (fma.f64 (.f64 #s(approx (+ ( (* x x) 1/360) 1/12) (.f64 #s(literal 1/360 binary64) (.f64 x x))) x) x #s(literal 1 binary64)) (*.f64 x x) #s(literal 2 binary64))))
(/.f64 #s(literal 2 binary64) #s(approx (* (cosh x) 2) (fma.f64 (fma.f64 (.f64 (fma.f64 (.f64 #s(literal 1/360 binary64) x) x #s(literal 1/12 binary64)) x) x #s(literal 1 binary64)) (*.f64 x x) #s(literal 2 binary64))))
(/.f64 #s(literal 2 binary64) #s(approx (* (cosh x) 2) (fma.f64 (fma.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) x) x #s(literal 1 binary64)) (*.f64 x x) #s(literal 2 binary64))))
(/.f64 #s(literal 2 binary64) #s(approx (* (cosh x) 2) (fma.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)) (*.f64 x x) #s(literal 2 binary64))))
(/.f64 #s(literal 2 binary64) #s(approx (* (cosh x) 2) (fma.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/360 binary64) x) x #s(literal 1/12 binary64)) (.f64 x x) #s(literal 1 binary64)) (*.f64 x x) #s(literal 2 binary64))))
(/.f64 #s(literal 2 binary64) #s(approx (* (cosh x) 2) (fma.f64 (fma.f64 (-.f64 #s(literal 1/12 binary64) (.f64 #s(literal -1/360 binary64) (.f64 x x))) (.f64 x x) #s(literal 1 binary64)) (.f64 x x) #s(literal 2 binary64))))

Outputs

(/.f64 #s(literal 2 binary64) #s(approx (* (cosh x) 2) (fma.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/360 binary64) x) x #s(literal 1/12 binary64)) x) x #s(literal 1 binary64)) (*.f64 x x) #s(literal 2 binary64))))

Calls

1 calls:

5.0ms

Results

Accuracy	Segments	Branch
89.4%	1	`x`

Compiler

Compiled 1 to 1 computations (0% saved)

regimes15.0ms (0.6%)

Memory

-17.5MiB live, 33.2MiB allocated; 5ms collecting garbage

Counts

14 → 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))) #s(approx (+ (* x x) 2) (*.f64 x x))))
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 x x #s(literal 2 binary64))))
(/.f64 #s(literal 2 binary64) #s(approx (* (cosh x) 2) (fma.f64 #s(approx (+ (* 1/12 (* x x)) 1) (.f64 (.f64 #s(literal 1/12 binary64) x) x)) (*.f64 x x) #s(literal 2 binary64))))
(/.f64 #s(literal 2 binary64) #s(approx (* (cosh x) 2) (fma.f64 #s(approx (+ (* 1/12 (* x x)) 1) (.f64 (.f64 x x) #s(literal 1/12 binary64))) (*.f64 x x) #s(literal 2 binary64))))
(/.f64 #s(literal 2 binary64) #s(approx (* (cosh x) 2) (fma.f64 (.f64 #s(approx (+ ( 1/12 (* x x)) 1) (.f64 (.f64 x x) #s(literal 1/12 binary64))) x) x #s(literal 2 binary64))))
(/.f64 #s(literal 2 binary64) #s(approx (* (cosh x) 2) (fma.f64 (.f64 (fma.f64 (.f64 #s(literal 1/12 binary64) x) x #s(literal 1 binary64)) x) x #s(literal 2 binary64))))
(/.f64 #s(literal 2 binary64) #s(approx (* (cosh x) 2) (fma.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/12 binary64) #s(literal 1 binary64)) x) x #s(literal 2 binary64))))
(/.f64 #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))))
(/.f64 #s(literal 2 binary64) #s(approx (* (cosh x) 2) (fma.f64 (fma.f64 (.f64 #s(literal 1/12 binary64) x) x #s(literal 1 binary64)) (.f64 x x) #s(literal 2 binary64))))
(/.f64 #s(literal 2 binary64) #s(approx (* (cosh x) 2) (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/12 binary64) #s(literal 1 binary64)) (.f64 x x) #s(literal 2 binary64))))
(/.f64 #s(literal 2 binary64) #s(approx (* (cosh x) 2) (fma.f64 (fma.f64 #s(approx (+ (* 1/360 (* x x)) 1/12) (.f64 (.f64 x x) #s(literal 1/360 binary64))) (.f64 x x) #s(literal 1 binary64)) (.f64 x x) #s(literal 2 binary64))))
(/.f64 #s(literal 2 binary64) #s(approx (* (cosh x) 2) (fma.f64 (fma.f64 (.f64 #s(approx (+ ( (* x x) 1/360) 1/12) (.f64 #s(literal 1/360 binary64) (.f64 x x))) x) x #s(literal 1 binary64)) (*.f64 x x) #s(literal 2 binary64))))

Outputs

(/.f64 #s(literal 2 binary64) #s(approx (* (cosh x) 2) (fma.f64 (fma.f64 #s(approx (+ (* 1/360 (* x x)) 1/12) (*.f64 (*.f64 x x) #s(literal 1/360 binary64))) (*.f64 x x) #s(literal 1 binary64)) (*.f64 x x) #s(literal 2 binary64))))

Calls

3 calls:

8.0ms	x
3.0ms	(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
3.0ms	(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))

Results

Accuracy	Segments	Branch
89.4%	1	`(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))`
89.4%	1	`(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))`
89.4%	1	`x`

Compiler

Compiled 15 to 13 computations (13.3% saved)

regimes11.0ms (0.5%)

Memory

-17.1MiB live, 29.6MiB allocated; 2ms collecting garbage

Counts

12 → 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))) #s(approx (+ (* x x) 2) (*.f64 x x))))
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 x x #s(literal 2 binary64))))
(/.f64 #s(literal 2 binary64) #s(approx (* (cosh x) 2) (fma.f64 #s(approx (+ (* 1/12 (* x x)) 1) (.f64 (.f64 #s(literal 1/12 binary64) x) x)) (*.f64 x x) #s(literal 2 binary64))))
(/.f64 #s(literal 2 binary64) #s(approx (* (cosh x) 2) (fma.f64 #s(approx (+ (* 1/12 (* x x)) 1) (.f64 (.f64 x x) #s(literal 1/12 binary64))) (*.f64 x x) #s(literal 2 binary64))))
(/.f64 #s(literal 2 binary64) #s(approx (* (cosh x) 2) (fma.f64 (.f64 #s(approx (+ ( 1/12 (* x x)) 1) (.f64 (.f64 x x) #s(literal 1/12 binary64))) x) x #s(literal 2 binary64))))
(/.f64 #s(literal 2 binary64) #s(approx (* (cosh x) 2) (fma.f64 (.f64 (fma.f64 (.f64 #s(literal 1/12 binary64) x) x #s(literal 1 binary64)) x) x #s(literal 2 binary64))))
(/.f64 #s(literal 2 binary64) #s(approx (* (cosh x) 2) (fma.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/12 binary64) #s(literal 1 binary64)) x) x #s(literal 2 binary64))))
(/.f64 #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))))
(/.f64 #s(literal 2 binary64) #s(approx (* (cosh x) 2) (fma.f64 (fma.f64 (.f64 #s(literal 1/12 binary64) x) x #s(literal 1 binary64)) (.f64 x x) #s(literal 2 binary64))))
(/.f64 #s(literal 2 binary64) #s(approx (* (cosh x) 2) (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/12 binary64) #s(literal 1 binary64)) (.f64 x x) #s(literal 2 binary64))))

Outputs
(/.f64 #s(literal 2 binary64) #s(approx (* (cosh x) 2) (fma.f64 (.f64 (fma.f64 (.f64 #s(literal 1/12 binary64) x) x #s(literal 1 binary64)) x) x #s(literal 2 binary64))))

Calls

3 calls:

5.0ms	x
3.0ms	(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
3.0ms	(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))

Results

Accuracy	Segments	Branch
86.1%	1	`(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))`
86.1%	1	`x`
86.1%	1	`(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))`

Compiler

Compiled 15 to 13 computations (13.3% saved)

regimes7.0ms (0.3%)

Memory

20.6MiB live, 20.6MiB allocated; 0ms collecting garbage

Counts

7 → 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))) #s(approx (+ (* x x) 2) (*.f64 x x))))
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 x x #s(literal 2 binary64))))
(/.f64 #s(literal 2 binary64) #s(approx (* (cosh x) 2) (fma.f64 #s(approx (+ (* 1/12 (* x x)) 1) (.f64 (.f64 #s(literal 1/12 binary64) x) x)) (*.f64 x x) #s(literal 2 binary64))))
(/.f64 #s(literal 2 binary64) #s(approx (* (cosh x) 2) (fma.f64 #s(approx (+ (* 1/12 (* x x)) 1) (.f64 (.f64 x x) #s(literal 1/12 binary64))) (*.f64 x x) #s(literal 2 binary64))))
(/.f64 #s(literal 2 binary64) #s(approx (* (cosh x) 2) (fma.f64 (.f64 #s(approx (+ ( 1/12 (* x x)) 1) (.f64 (.f64 x x) #s(literal 1/12 binary64))) x) x #s(literal 2 binary64))))

Outputs
(/.f64 #s(literal 2 binary64) #s(approx (* (cosh x) 2) (fma.f64 #s(approx (+ (* 1/12 (* x x)) 1) (.f64 (.f64 #s(literal 1/12 binary64) x) x)) (*.f64 x x) #s(literal 2 binary64))))

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
86.0%	1	`(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))`
86.0%	1	`(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))`
86.0%	1	`x`

Compiler

Compiled 15 to 13 computations (13.3% saved)

regimes5.0ms (0.2%)

Memory

15.9MiB live, 15.9MiB allocated; 0ms collecting garbage

Counts

4 → 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))) #s(approx (+ (* x x) 2) (*.f64 x x))))
(/.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:

2.0ms	x
1.0ms	(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
1.0ms	(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))

Results

Accuracy	Segments	Branch
76.4%	1	`(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))`
76.4%	1	`(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))`
76.4%	1	`x`

Compiler

Compiled 15 to 13 computations (13.3% saved)

regimes6.0ms (0.3%)

Memory

-31.7MiB live, 15.4MiB allocated; 2ms collecting garbage

Counts

3 → 2

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))) #s(approx (+ (* x x) 2) (*.f64 x x))))

Outputs

#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))) #s(approx (+ (* x x) 2) (*.f64 x x))))

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
76.4%	2	`(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))`
76.4%	2	`(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))`
76.4%	2	`x`

Compiler

Compiled 15 to 13 computations (13.3% saved)

regimes4.0ms (0.1%)

Memory

13.3MiB live, 13.3MiB allocated; 0ms collecting garbage

Accuracy

Total -0.5b remaining (-1.5%)

Threshold costs -0.5b (-1.5%)

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
53.9%	1	`(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))`
53.9%	1	`(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))`
53.9%	1	`x`

Compiler

Compiled 15 to 13 computations (13.3% saved)

bsearch11.0ms (0.4%)

Memory

-24.9MiB live, 21.7MiB allocated; 2ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
9.0ms	2.0834038604605675e+76	3.180349633183638e+77

Samples

4.0ms

96×

valid

Compiler

Compiled 419 to 239 computations (43% saved)

Precisions

Click to see histograms. Total time spent on operations: 2.0ms

ival-exp: 1.0ms (45.5% of total)

adjust: 0.0ms (0% of total)

ival-add!: 0.0ms (0% of total)

ival-neg: 0.0ms (0% of total)

ival-div!: 0.0ms (0% of total)

bsearch14.0ms (0.6%)

Memory

30.0MiB live, 30.0MiB allocated; 0ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
13.0ms	2.0441009823387725e-6	8.998064998611893

Samples

7.0ms

144×

valid

Compiler

Compiled 308 to 254 computations (17.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 4.0ms

ival-exp: 3.0ms (68.3% of total)

ival-neg: 1.0ms (22.8% of total)

ival-div!: 1.0ms (22.8% of total)

adjust: 0.0ms (0% of total)

ival-add!: 0.0ms (0% of total)

derivations288.0ms (12%)

Memory

16.4MiB live, 350.6MiB allocated; 20ms collecting garbage

Stop Event

1×

fuel

Compiler

Compiled 232 to 75 computations (67.7% saved)

preprocess62.0ms (2.6%)

Memory: -15.9MiB live, 91.7MiB allocated; 7ms collecting garbage
Remove: (abs x)
Compiler: Compiled 944 to 446 computations (52.8% saved)

end0.0ms (0%)

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

start0.0ms (0%)

analyze0.0ms (0%)

sample645.0ms (27%)

explain162.0ms (6.8%)

preprocess68.0ms (2.9%)

series3.0ms (0.1%)

rewrite157.0ms (6.6%)

eval10.0ms (0.4%)

prune3.0ms (0.1%)

series14.0ms (0.6%)

rewrite233.0ms (9.7%)

eval47.0ms (1.9%)

prune15.0ms (0.6%)

series12.0ms (0.5%)

rewrite136.0ms (5.7%)

eval21.0ms (0.9%)

prune13.0ms (0.6%)

series16.0ms (0.7%)

rewrite229.0ms (9.6%)

eval101.0ms (4.2%)

prune41.0ms (1.7%)

regimes20.0ms (0.8%)

regimes16.0ms (0.7%)

regimes6.0ms (0.3%)

regimes15.0ms (0.6%)

regimes11.0ms (0.5%)

regimes7.0ms (0.3%)

regimes5.0ms (0.2%)

regimes6.0ms (0.3%)

regimes4.0ms (0.1%)

bsearch11.0ms (0.4%)

bsearch14.0ms (0.6%)

derivations288.0ms (12%)

preprocess62.0ms (2.6%)

end0.0ms (0%)

Profiling