Metrics for Hyperbolic secant

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze0.0ms (0%)

Memory

0.4MiB live, 0.4MiB allocated

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)

sample750.0ms (13%)

Memory

39.5MiB live, 953.6MiB allocated

Samples

515.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 355.0ms

ival-exp: 137.0ms (38.6% of total)

ival-div: 80.0ms (22.5% of total)

ival-add: 74.0ms (20.8% of total)

ival-neg: 52.0ms (14.6% of total)

ival-true: 5.0ms (1.4% of total)

exact: 4.0ms (1.1% of total)

ival-assert: 3.0ms (0.8% of total)

Bogosity

explain111.0ms (1.9%)

Memory

1.7MiB live, 78.8MiB allocated

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)`
2	(364.5884888330473)	-	`(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	2	0

Confusion

	Predicted +	Predicted -
+	0	0
-	2	254

Precision

0.0

Recall

0/0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	0	0	0
-	2	0	254

Precision?

0.0

Recall?

0/0

Freqs

test

number	freq
0	254
1	2

Total Confusion?

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

Precision?

0.0

Recall?

0/0

Samples

58.0ms

512×

valid

Compiler

Compiled 81 to 32 computations (60.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 45.0ms

ival-exp: 36.0ms (79.5% of total)

ival-div: 3.0ms (6.6% of total)

ival-add: 2.0ms (4.4% of total)

ival-neg: 2.0ms (4.4% of total)

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

exact: 0.0ms (0% of total)

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

preprocess200.0ms (3.5%)

Memory

-27.4MiB live, 90.2MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	9	16
1	41	16
2	97	16
3	347	16
4	2372	12
5	6928	12
0	7	8
0	12	8
1	27	8
2	58	8
3	221	8
4	1248	6
5	7352	6
0	8443	6

Stop Event

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

Calls

Call 1

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

Outputs
(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(/.f64 #s(literal 2 binary64) (*.f64 (cosh.f64 x) #s(literal 2 binary64)))

Symmetry

(abs x)

Compiler

Compiled 8 to 7 computations (12.5% saved)

eval0.0ms (0%)

Memory: 0.2MiB live, 0.2MiB allocated
Compiler: Compiled 0 to 1 computations (-∞% saved)

prune1.0ms (0%)

Memory

0.7MiB live, 0.7MiB allocated

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))))

Compiler

Compiled 8 to 7 computations (12.5% saved)

simplify119.0ms (2.1%)

Memory

33.3MiB live, 70.7MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Score
cost-diff	0	(exp.f64 (neg.f64 x))
cost-diff	0	(exp.f64 x)
cost-diff	0	(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
cost-diff	6400	(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	7	23
0	12	23
1	27	23
2	58	23
3	221	23
4	1248	19
5	7352	19
0	8443	19

Stop Event

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

Calls

Call 1

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

Outputs
(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(/.f64 #s(literal 2 binary64) (*.f64 (cosh.f64 x) #s(literal 2 binary64)))
#s(literal 2 binary64)
(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
(*.f64 (cosh.f64 x) #s(literal 2 binary64))
(exp.f64 x)
x
(exp.f64 (neg.f64 x))
(neg.f64 x)

localize61.0ms (1.1%)

Memory

-19.1MiB live, 19.0MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0	(exp.f64 (neg.f64 x))
accuracy	0	(exp.f64 x)
accuracy	0.00390625	(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
accuracy	0.01953125	(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))

Samples

54.0ms

256×

valid

Compiler

Compiled 48 to 16 computations (66.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 48.0ms

ival-exp: 44.0ms (91.1% of total)

ival-div: 2.0ms (4.1% of total)

ival-add: 1.0ms (2.1% of total)

ival-neg: 1.0ms (2.1% of total)

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

exact: 0.0ms (0% of total)

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

series3.0ms (0%)

Memory

2.0MiB live, 2.0MiB allocated

Counts

4 → 21

Calls

Call 1

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

Outputs
2
(+ 2 (pow x 2))
(+ 2 (* (pow x 2) (+ 1 (* 1/12 (pow x 2)))))
(+ 2 (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2)))))))
1
(+ 1 (* -1/2 (pow x 2)))
(+ 1 (* (pow x 2) (- (* 5/24 (pow x 2)) 1/2)))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 5/24 (* -61/720 (pow x 2)))) 1/2)))
(+ 1 x)
(+ 1 (* x (+ 1 (* 1/2 x))))
(+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))))
(+ 1 (* -1 x))
(+ 1 (* x (- (* 1/2 x) 1)))
(+ 1 (* x (- (* x (+ 1/2 (* -1/6 x))) 1)))
(+ (exp x) (exp (neg x)))
(/ 2 (+ (exp x) (exp (neg x))))
(exp x)
(exp (neg x))
(+ (exp x) (exp (* -1 x)))
(/ 2 (+ (exp x) (exp (* -1 x))))
(exp (* -1 x))

Calls

3 calls:

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

Time

Variable

Point

Expression

1.0ms

-inf

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

1.0ms

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

1.0ms

inf

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

simplify193.0ms (3.4%)

Memory

-5.2MiB live, 109.4MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	66	165
1	218	164
2	712	160
3	2902	160
4	6610	160
0	8020	138

Stop Event

1×	iter limit
1×	node limit

Counts

21 → 21

Calls

Call 1

Inputs
2
(+ 2 (pow x 2))
(+ 2 (* (pow x 2) (+ 1 (* 1/12 (pow x 2)))))
(+ 2 (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2)))))))
1
(+ 1 (* -1/2 (pow x 2)))
(+ 1 (* (pow x 2) (- (* 5/24 (pow x 2)) 1/2)))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 5/24 (* -61/720 (pow x 2)))) 1/2)))
(+ 1 x)
(+ 1 (* x (+ 1 (* 1/2 x))))
(+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))))
(+ 1 (* -1 x))
(+ 1 (* x (- (* 1/2 x) 1)))
(+ 1 (* x (- (* x (+ 1/2 (* -1/6 x))) 1)))
(+ (exp x) (exp (neg x)))
(/ 2 (+ (exp x) (exp (neg x))))
(exp x)
(exp (neg x))
(+ (exp x) (exp (* -1 x)))
(/ 2 (+ (exp x) (exp (* -1 x))))
(exp (* -1 x))

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

rewrite265.0ms (4.6%)

Memory

22.6MiB live, 138.4MiB allocated

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	7	19
0	12	15
1	49	13
2	362	13
3	5579	13
0	8359	13

Stop Event

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

Counts

4 → 753

Calls

Call 1

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

Outputs
(.f64 (/.f64 (.f64 #s(literal 2 binary64) (sinh.f64 (.f64 #s(literal 2 binary64) x))) (.f64 #s(literal 2 binary64) (sinh.f64 (.f64 #s(literal 3 binary64) x)))) (fma.f64 #s(literal 2 binary64) (cosh.f64 (.f64 #s(literal -2 binary64) x)) #s(literal 1 binary64)))
(.f64 (/.f64 (.f64 #s(literal 2 binary64) (cosh.f64 (.f64 #s(literal -3 binary64) x))) (-.f64 (pow.f64 (exp.f64 x) #s(literal 4 binary64)) (pow.f64 (expm1.f64 (.f64 #s(literal -2 binary64) x)) #s(literal 2 binary64)))) (fma.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 #s(literal 2 binary64) x)) #s(literal 1 binary64)))
(.f64 (/.f64 (.f64 #s(literal 2 binary64) (cosh.f64 (.f64 #s(literal -3 binary64) x))) (+.f64 (pow.f64 (expm1.f64 (.f64 #s(literal -2 binary64) x)) #s(literal 3 binary64)) (pow.f64 (exp.f64 x) #s(literal 6 binary64)))) (fma.f64 (expm1.f64 (.f64 #s(literal -2 binary64) x)) (-.f64 (expm1.f64 (.f64 #s(literal -2 binary64) x)) (pow.f64 (exp.f64 x) #s(literal 2 binary64))) (pow.f64 (exp.f64 x) #s(literal 4 binary64))))
(.f64 (/.f64 (.f64 #s(literal 2 binary64) (sinh.f64 (.f64 #s(literal 2 binary64) x))) (.f64 #s(literal 2 binary64) (sinh.f64 (.f64 #s(literal 2 binary64) x)))) (.f64 (cosh.f64 x) #s(literal 2 binary64)))
(.f64 (.f64 #s(literal 2 binary64) (*.f64 (cosh.f64 x) #s(literal 2 binary64))) #s(literal 1/2 binary64))
(.f64 #s(literal 4 binary64) (.f64 (cosh.f64 x) #s(literal 1/2 binary64)))
(.f64 (.f64 (cosh.f64 x) #s(literal 1/2 binary64)) #s(literal 4 binary64))
(.f64 #s(literal 1/2 binary64) (fma.f64 (cosh.f64 x) #s(literal 2 binary64) (.f64 (cosh.f64 x) #s(literal 2 binary64))))
(.f64 (/.f64 #s(literal 1/2 binary64) (sinh.f64 x)) (.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 #s(literal 2 binary64) x))))
(.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) (cosh.f64 (.f64 #s(literal -2 binary64) x)) #s(literal -1 binary64)) #s(literal -1 binary64)) (.f64 #s(literal 2 binary64) (cosh.f64 (.f64 #s(literal -3 binary64) x))))
(.f64 (neg.f64 (.f64 #s(literal 2 binary64) (sinh.f64 (.f64 #s(literal 2 binary64) x)))) (pow.f64 (.f64 #s(literal -2 binary64) (sinh.f64 x)) #s(literal -1 binary64)))
(.f64 (neg.f64 (.f64 #s(literal 2 binary64) (cosh.f64 (.f64 #s(literal -3 binary64) x)))) (pow.f64 (neg.f64 (fma.f64 #s(literal 2 binary64) (cosh.f64 (.f64 #s(literal -2 binary64) x)) #s(literal -1 binary64))) #s(literal -1 binary64)))
(.f64 (.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 #s(literal 2 binary64) x))) (/.f64 (/.f64 #s(literal 1/2 binary64) (sinh.f64 x)) #s(literal 1 binary64)))
(.f64 (.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 #s(literal 2 binary64) x))) (/.f64 #s(literal 1/2 binary64) (sinh.f64 x)))
(.f64 #s(literal -1 binary64) (.f64 #s(literal -2 binary64) (cosh.f64 x)))
(.f64 (fma.f64 #s(literal 2 binary64) (cosh.f64 (.f64 #s(literal -2 binary64) x)) #s(literal -1 binary64)) (/.f64 (.f64 (cosh.f64 x) #s(literal 2 binary64)) (fma.f64 #s(literal 2 binary64) (cosh.f64 (.f64 #s(literal -2 binary64) x)) #s(literal -1 binary64))))
(.f64 (fma.f64 #s(literal 2 binary64) (cosh.f64 (.f64 #s(literal -2 binary64) x)) #s(literal -1 binary64)) (.f64 (.f64 (cosh.f64 x) #s(literal 2 binary64)) (pow.f64 (fma.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 #s(literal -2 binary64) x)) #s(literal -1 binary64)) #s(literal -1 binary64))))
(.f64 (.f64 #s(literal 2 binary64) (cosh.f64 (.f64 #s(literal -3 binary64) x))) (/.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) (cosh.f64 (.f64 #s(literal -2 binary64) x)) #s(literal -1 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)))
(.f64 (.f64 #s(literal 2 binary64) (cosh.f64 (.f64 #s(literal -3 binary64) x))) (pow.f64 (fma.f64 #s(literal 2 binary64) (cosh.f64 (.f64 #s(literal -2 binary64) x)) #s(literal -1 binary64)) #s(literal -1 binary64)))
(*.f64 #s(literal -2 binary64) (neg.f64 (cosh.f64 x)))
(.f64 #s(literal 1 binary64) (.f64 (cosh.f64 x) #s(literal 2 binary64)))
(.f64 (cosh.f64 x) (/.f64 (.f64 (sinh.f64 x) #s(literal 2 binary64)) (sinh.f64 x)))
(*.f64 (cosh.f64 x) #s(literal 2 binary64))
(.f64 #s(literal 2 binary64) (.f64 #s(literal 1 binary64) (cosh.f64 (/.f64 (*.f64 #s(literal -2 binary64) x) #s(literal 2 binary64)))))
(.f64 #s(literal 2 binary64) (.f64 (cosh.f64 (/.f64 (*.f64 #s(literal -2 binary64) x) #s(literal 2 binary64))) #s(literal 1 binary64)))
(*.f64 #s(literal 2 binary64) (cosh.f64 x))
(.f64 (.f64 (cosh.f64 x) #s(literal 2 binary64)) (/.f64 (.f64 (sinh.f64 x) #s(literal 2 binary64)) (.f64 (sinh.f64 x) #s(literal 2 binary64))))
(.f64 (.f64 (cosh.f64 x) #s(literal 2 binary64)) (.f64 (.f64 (sinh.f64 x) #s(literal 2 binary64)) (/.f64 #s(literal 1/2 binary64) (sinh.f64 x))))
(.f64 (.f64 (cosh.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64))
(pow.f64 (/.f64 #s(literal 1/2 binary64) (cosh.f64 x)) #s(literal -1 binary64))
(pow.f64 (*.f64 (cosh.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64))
(/.f64 (.f64 (-.f64 (pow.f64 (exp.f64 x) #s(literal 4 binary64)) (pow.f64 (exp.f64 x) #s(literal -4 binary64))) (/.f64 #s(literal 1/2 binary64) (sinh.f64 x))) (.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 #s(literal -2 binary64) x))))
(/.f64 (*.f64 (-.f64 (pow.f64 (exp.f64 x) #s(literal 6 binary64)) (pow.f64 (exp.f64 x) #s(literal -6 binary64))) (/.f64 #s(literal 1/2 binary64) (sinh.f64 x))) (+.f64 (+.f64 (pow.f64 (exp.f64 x) #s(literal -4 binary64)) #s(literal 1 binary64)) (pow.f64 (exp.f64 x) #s(literal 4 binary64))))
(/.f64 (.f64 (-.f64 (pow.f64 (exp.f64 x) #s(literal 6 binary64)) (pow.f64 (exp.f64 x) #s(literal -6 binary64))) (pow.f64 (fma.f64 #s(literal 2 binary64) (cosh.f64 (.f64 #s(literal -2 binary64) x)) #s(literal -1 binary64)) #s(literal -1 binary64))) (.f64 #s(literal 2 binary64) (sinh.f64 (.f64 #s(literal 3 binary64) x))))
(/.f64 (.f64 (+.f64 (pow.f64 (exp.f64 x) #s(literal -9 binary64)) (pow.f64 (exp.f64 x) #s(literal 9 binary64))) (pow.f64 (fma.f64 #s(literal 2 binary64) (cosh.f64 (.f64 #s(literal -2 binary64) x)) #s(literal -1 binary64)) #s(literal -1 binary64))) (+.f64 (expm1.f64 (*.f64 (neg.f64 x) #s(literal 6 binary64))) (pow.f64 (exp.f64 x) #s(literal 6 binary64))))
(/.f64 (-.f64 (pow.f64 (.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) (/.f64 #s(literal 1/2 binary64) (sinh.f64 x))) #s(literal 2 binary64)) (pow.f64 (.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) (/.f64 #s(literal 1/2 binary64) (sinh.f64 x))) #s(literal 2 binary64))) (fma.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) (/.f64 #s(literal 1/2 binary64) (sinh.f64 x)) (*.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) (/.f64 #s(literal 1/2 binary64) (sinh.f64 x)))))
(/.f64 (-.f64 (pow.f64 (cosh.f64 x) #s(literal 2 binary64)) (pow.f64 (-.f64 (sinh.f64 x) (exp.f64 x)) #s(literal 2 binary64))) (+.f64 (cosh.f64 x) (-.f64 (sinh.f64 x) (exp.f64 x))))
(/.f64 (-.f64 (pow.f64 (+.f64 (cosh.f64 x) (exp.f64 (neg.f64 x))) #s(literal 2 binary64)) (pow.f64 (sinh.f64 x) #s(literal 2 binary64))) (-.f64 (+.f64 (cosh.f64 x) (exp.f64 (neg.f64 x))) (sinh.f64 x)))
(/.f64 (-.f64 (pow.f64 (+.f64 (cosh.f64 x) (exp.f64 x)) #s(literal 2 binary64)) (pow.f64 (sinh.f64 x) #s(literal 2 binary64))) (+.f64 (+.f64 (cosh.f64 x) (exp.f64 x)) (sinh.f64 x)))
(/.f64 (-.f64 (pow.f64 (+.f64 (cosh.f64 x) (exp.f64 x)) #s(literal 2 binary64)) (pow.f64 (sinh.f64 x) #s(literal 2 binary64))) (-.f64 (+.f64 (cosh.f64 x) (exp.f64 x)) (sinh.f64 (neg.f64 x))))
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(fma.f64 (.f64 #s(literal 2 binary64) (cosh.f64 (.f64 #s(literal -3 binary64) x))) (pow.f64 (.f64 (fma.f64 #s(literal 2 binary64) (cosh.f64 (.f64 #s(literal -2 binary64) x)) #s(literal -1 binary64)) #s(literal 2 binary64)) #s(literal -1 binary64)) (*.f64 (sinh.f64 (neg.f64 x)) #s(literal 1 binary64)))
(fma.f64 (.f64 #s(literal 2 binary64) (cosh.f64 (.f64 #s(literal -3 binary64) x))) (pow.f64 (.f64 (fma.f64 #s(literal 2 binary64) (cosh.f64 (.f64 #s(literal -2 binary64) x)) #s(literal -1 binary64)) #s(literal 2 binary64)) #s(literal -1 binary64)) (*.f64 #s(literal 1 binary64) (sinh.f64 (neg.f64 x))))
(fma.f64 (.f64 #s(literal 2 binary64) (cosh.f64 (.f64 #s(literal -3 binary64) x))) (pow.f64 (.f64 (fma.f64 #s(literal 2 binary64) (cosh.f64 (.f64 #s(literal -2 binary64) x)) #s(literal -1 binary64)) #s(literal 2 binary64)) #s(literal -1 binary64)) (sinh.f64 (neg.f64 x)))
(fma.f64 (.f64 #s(literal -2 binary64) (cosh.f64 x)) #s(literal -1/2 binary64) (.f64 (sinh.f64 (neg.f64 x)) #s(literal 1 binary64)))
(fma.f64 (.f64 #s(literal -2 binary64) (cosh.f64 x)) #s(literal -1/2 binary64) (.f64 #s(literal 1 binary64) (sinh.f64 (neg.f64 x))))
(fma.f64 (*.f64 #s(literal -2 binary64) (cosh.f64 x)) #s(literal -1/2 binary64) (sinh.f64 (neg.f64 x)))
(fma.f64 #s(literal -2 binary64) (/.f64 (cosh.f64 x) #s(literal -2 binary64)) (*.f64 (sinh.f64 (neg.f64 x)) #s(literal 1 binary64)))
(fma.f64 #s(literal -2 binary64) (/.f64 (cosh.f64 x) #s(literal -2 binary64)) (*.f64 #s(literal 1 binary64) (sinh.f64 (neg.f64 x))))
(fma.f64 #s(literal -2 binary64) (/.f64 (cosh.f64 x) #s(literal -2 binary64)) (sinh.f64 (neg.f64 x)))
(fma.f64 #s(literal 1 binary64) (.f64 (exp.f64 (neg.f64 x)) #s(literal 1/2 binary64)) (-.f64 (.f64 (exp.f64 x) #s(literal 1/2 binary64)) (sinh.f64 x)))
(fma.f64 #s(literal 1 binary64) (*.f64 (exp.f64 (neg.f64 x)) #s(literal 1/2 binary64)) (fma.f64 (exp.f64 x) #s(literal 1/2 binary64) (sinh.f64 (neg.f64 x))))
(fma.f64 #s(literal 1 binary64) (sinh.f64 (neg.f64 x)) (cosh.f64 x))
(fma.f64 #s(literal 1 binary64) (cosh.f64 x) (*.f64 (sinh.f64 (neg.f64 x)) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) (cosh.f64 x) (*.f64 #s(literal 1 binary64) (sinh.f64 (neg.f64 x))))
(fma.f64 #s(literal 1 binary64) (cosh.f64 x) (sinh.f64 (neg.f64 x)))
(fma.f64 (sinh.f64 (neg.f64 x)) #s(literal 1 binary64) (cosh.f64 x))
(fma.f64 (cosh.f64 x) #s(literal 1 binary64) (*.f64 (sinh.f64 (neg.f64 x)) #s(literal 1 binary64)))
(fma.f64 (cosh.f64 x) #s(literal 1 binary64) (*.f64 #s(literal 1 binary64) (sinh.f64 (neg.f64 x))))
(fma.f64 (cosh.f64 x) #s(literal 1 binary64) (sinh.f64 (neg.f64 x)))
(fma.f64 #s(literal 2 binary64) (/.f64 (.f64 (cosh.f64 x) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (.f64 (sinh.f64 (neg.f64 x)) #s(literal 1 binary64)))
(fma.f64 #s(literal 2 binary64) (/.f64 (.f64 (cosh.f64 x) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (.f64 #s(literal 1 binary64) (sinh.f64 (neg.f64 x))))
(fma.f64 #s(literal 2 binary64) (/.f64 (*.f64 (cosh.f64 x) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (sinh.f64 (neg.f64 x)))
(fma.f64 #s(literal 2 binary64) (.f64 (cosh.f64 x) #s(literal 1/2 binary64)) (.f64 (sinh.f64 (neg.f64 x)) #s(literal 1 binary64)))
(fma.f64 #s(literal 2 binary64) (.f64 (cosh.f64 x) #s(literal 1/2 binary64)) (.f64 #s(literal 1 binary64) (sinh.f64 (neg.f64 x))))
(fma.f64 #s(literal 2 binary64) (*.f64 (cosh.f64 x) #s(literal 1/2 binary64)) (sinh.f64 (neg.f64 x)))
(fma.f64 (.f64 (cosh.f64 x) #s(literal 2 binary64)) (/.f64 (.f64 (sinh.f64 x) #s(literal 2 binary64)) (.f64 (.f64 (sinh.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64))) (*.f64 (sinh.f64 (neg.f64 x)) #s(literal 1 binary64)))
(fma.f64 (.f64 (cosh.f64 x) #s(literal 2 binary64)) (/.f64 (.f64 (sinh.f64 x) #s(literal 2 binary64)) (.f64 (.f64 (sinh.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64))) (*.f64 #s(literal 1 binary64) (sinh.f64 (neg.f64 x))))
(fma.f64 (.f64 (cosh.f64 x) #s(literal 2 binary64)) (/.f64 (.f64 (sinh.f64 x) #s(literal 2 binary64)) (.f64 (.f64 (sinh.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64))) (sinh.f64 (neg.f64 x)))
(fma.f64 (.f64 (cosh.f64 x) #s(literal 2 binary64)) #s(literal 1/2 binary64) (.f64 (sinh.f64 (neg.f64 x)) #s(literal 1 binary64)))
(fma.f64 (.f64 (cosh.f64 x) #s(literal 2 binary64)) #s(literal 1/2 binary64) (.f64 #s(literal 1 binary64) (sinh.f64 (neg.f64 x))))
(fma.f64 (*.f64 (cosh.f64 x) #s(literal 2 binary64)) #s(literal 1/2 binary64) (sinh.f64 (neg.f64 x)))
(fma.f64 (exp.f64 (neg.f64 x)) #s(literal 1/2 binary64) (-.f64 (*.f64 (exp.f64 x) #s(literal 1/2 binary64)) (sinh.f64 x)))
(fma.f64 (exp.f64 (neg.f64 x)) #s(literal 1/2 binary64) (fma.f64 (exp.f64 x) #s(literal 1/2 binary64) (sinh.f64 (neg.f64 x))))
(fma.f64 (exp.f64 x) #s(literal 1/2 binary64) (-.f64 (*.f64 (exp.f64 (neg.f64 x)) #s(literal 1/2 binary64)) (sinh.f64 x)))
(fma.f64 (exp.f64 x) #s(literal 1/2 binary64) (fma.f64 (exp.f64 (neg.f64 x)) #s(literal 1/2 binary64) (sinh.f64 (neg.f64 x))))
(sqrt.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)))
(-.f64 (/.f64 (pow.f64 (cosh.f64 x) #s(literal 3 binary64)) (fma.f64 (sinh.f64 x) (exp.f64 x) (pow.f64 (cosh.f64 x) #s(literal 2 binary64)))) (/.f64 (pow.f64 (sinh.f64 x) #s(literal 3 binary64)) (fma.f64 (sinh.f64 x) (exp.f64 x) (pow.f64 (cosh.f64 x) #s(literal 2 binary64)))))
(-.f64 (/.f64 (pow.f64 (cosh.f64 x) #s(literal 2 binary64)) (exp.f64 x)) (/.f64 (pow.f64 (sinh.f64 x) #s(literal 2 binary64)) (exp.f64 x)))
(-.f64 #s(literal 0 binary64) (-.f64 (sinh.f64 x) (cosh.f64 x)))
(-.f64 (sinh.f64 (neg.f64 x)) (neg.f64 (cosh.f64 x)))
(-.f64 (cosh.f64 x) (-.f64 #s(literal 0 binary64) (sinh.f64 (neg.f64 x))))
(-.f64 (cosh.f64 x) (sinh.f64 x))
(-.f64 (exp.f64 (neg.f64 x)) #s(literal 0 binary64))
(fabs.f64 (-.f64 (sinh.f64 x) (cosh.f64 x)))
(fabs.f64 (/.f64 #s(literal -1 binary64) (exp.f64 x)))
(fabs.f64 (exp.f64 (neg.f64 x)))
(exp.f64 (fma.f64 #s(literal 2 binary64) x (*.f64 #s(literal -3 binary64) x)))
(exp.f64 (+.f64 x (*.f64 #s(literal -2 binary64) x)))
(exp.f64 (*.f64 (neg.f64 x) #s(literal 1 binary64)))
(exp.f64 (/.f64 (*.f64 #s(literal -2 binary64) x) #s(literal 2 binary64)))
(exp.f64 (neg.f64 x))
(+.f64 (fma.f64 #s(literal -1 binary64) (sinh.f64 x) (.f64 (exp.f64 (neg.f64 x)) #s(literal 1/2 binary64))) (.f64 (exp.f64 x) #s(literal 1/2 binary64)))
(+.f64 (fma.f64 #s(literal -1 binary64) (sinh.f64 x) (.f64 (exp.f64 x) #s(literal 1/2 binary64))) (.f64 (exp.f64 (neg.f64 x)) #s(literal 1/2 binary64)))
(+.f64 (*.f64 (sinh.f64 (neg.f64 x)) #s(literal 1 binary64)) (cosh.f64 x))
(+.f64 (/.f64 (pow.f64 (cosh.f64 x) #s(literal 3 binary64)) (fma.f64 (sinh.f64 x) (exp.f64 x) (pow.f64 (cosh.f64 x) #s(literal 2 binary64)))) (/.f64 (pow.f64 (sinh.f64 x) #s(literal 3 binary64)) (fma.f64 (sinh.f64 x) (exp.f64 x) (pow.f64 (cosh.f64 x) #s(literal 2 binary64)))))
(+.f64 (*.f64 #s(literal 1 binary64) (sinh.f64 (neg.f64 x))) (cosh.f64 x))
(+.f64 (.f64 (exp.f64 (neg.f64 x)) #s(literal 1/2 binary64)) (-.f64 (.f64 (exp.f64 x) #s(literal 1/2 binary64)) (sinh.f64 x)))
(+.f64 (*.f64 (exp.f64 (neg.f64 x)) #s(literal 1/2 binary64)) (fma.f64 (exp.f64 x) #s(literal 1/2 binary64) (sinh.f64 (neg.f64 x))))
(+.f64 (.f64 (exp.f64 x) #s(literal 1/2 binary64)) (-.f64 (.f64 (exp.f64 (neg.f64 x)) #s(literal 1/2 binary64)) (sinh.f64 x)))
(+.f64 (*.f64 (exp.f64 x) #s(literal 1/2 binary64)) (fma.f64 (exp.f64 (neg.f64 x)) #s(literal 1/2 binary64) (sinh.f64 (neg.f64 x))))
(+.f64 (sinh.f64 (neg.f64 x)) (cosh.f64 x))
(+.f64 (cosh.f64 x) (*.f64 (sinh.f64 (neg.f64 x)) #s(literal 1 binary64)))
(+.f64 (cosh.f64 x) (*.f64 #s(literal 1 binary64) (sinh.f64 (neg.f64 x))))
(+.f64 (cosh.f64 x) (sinh.f64 (neg.f64 x)))

eval142.0ms (2.5%)

Memory: -15.4MiB live, 103.1MiB allocated
Compiler: Compiled 14 648 to 2 372 computations (83.8% saved)

prune22.0ms (0.4%)

Memory

-0.3MiB live, 39.0MiB allocated

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	764	7	771
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	765	7	772

Accuracy

100.0%

Counts

772 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
	50.8%	(/.f64 #s(literal 2 binary64) (/.f64 (sinh.f64 (*.f64 #s(literal 2 binary64) x)) (sinh.f64 x)))
▶	77.1%	(/.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))
	50.3%	#s(approx (/ 2 (+ (exp x) (exp (neg x)))) (fma.f64 (fma.f64 (fma.f64 #s(literal -61/720 binary64) (.f64 x x) #s(literal 5/24 binary64)) (.f64 x x) #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))
▶	50.3%	#s(approx (/ 2 (+ (exp x) (exp (neg x)))) (fma.f64 (fma.f64 #s(literal 5/24 binary64) (.f64 x x) #s(literal -1/2 binary64)) (.f64 x x) #s(literal 1 binary64)))
▶	50.2%	#s(approx (/ 2 (+ (exp x) (exp (neg x)))) (fma.f64 (*.f64 #s(literal -1/2 binary64) x) x #s(literal 1 binary64)))
▶	50.6%	#s(approx (/ 2 (+ (exp x) (exp (neg x)))) #s(literal 1 binary64))

Compiler

Compiled 192 to 142 computations (26% saved)

simplify100.0ms (1.7%)

Memory

30.4MiB live, 68.3MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 13 expressions of interest:

New	Metric	Score	Program
cost-diff	0	(*.f64 x x)
cost-diff	0	(fma.f64 #s(literal 5/24 binary64) (*.f64 x x) #s(literal -1/2 binary64))
cost-diff	0	(fma.f64 (fma.f64 #s(literal 5/24 binary64) (.f64 x x) #s(literal -1/2 binary64)) (.f64 x x) #s(literal 1 binary64))
cost-diff	0	#s(approx (/ 2 (+ (exp x) (exp (neg x)))) (fma.f64 (fma.f64 #s(literal 5/24 binary64) (.f64 x x) #s(literal -1/2 binary64)) (.f64 x x) #s(literal 1 binary64)))
cost-diff	0	(fma.f64 x x #s(literal 2 binary64))
cost-diff	0	#s(approx (+ (exp x) (exp (neg x))) (fma.f64 x x #s(literal 2 binary64)))
cost-diff	0	(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 x x #s(literal 2 binary64))))
cost-diff	0	(*.f64 #s(literal -1/2 binary64) x)
cost-diff	0	(fma.f64 (*.f64 #s(literal -1/2 binary64) x) x #s(literal 1 binary64))
cost-diff	0	#s(approx (/ 2 (+ (exp x) (exp (neg x)))) (fma.f64 (*.f64 #s(literal -1/2 binary64) x) x #s(literal 1 binary64)))
cost-diff	0	#s(approx (/ 2 (+ (exp x) (exp (neg x)))) #s(literal 1 binary64))
cost-diff	0	(cosh.f64 x)
cost-diff	0	(/.f64 #s(literal 1 binary64) (cosh.f64 x))

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	23	120
0	35	120
1	67	120
2	187	108
3	826	108
4	3694	104
0	8268	104

Stop Event

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

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

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

localize82.0ms (1.4%)

Memory

-24.9MiB live, 56.8MiB allocated

Localize:

Found 13 expressions of interest:

New	Metric	Score
accuracy	0	(*.f64 x x)
accuracy	0.02734375	(fma.f64 (fma.f64 #s(literal 5/24 binary64) (.f64 x x) #s(literal -1/2 binary64)) (.f64 x x) #s(literal 1 binary64))
accuracy	0.1015625	(fma.f64 #s(literal 5/24 binary64) (*.f64 x x) #s(literal -1/2 binary64))
accuracy	31.798062529152265	#s(approx (/ 2 (+ (exp x) (exp (neg x)))) (fma.f64 (fma.f64 #s(literal 5/24 binary64) (.f64 x x) #s(literal -1/2 binary64)) (.f64 x x) #s(literal 1 binary64)))
accuracy	0	(fma.f64 x x #s(literal 2 binary64))
accuracy	0.01953125	(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 x x #s(literal 2 binary64))))
accuracy	14.64533785728302	#s(approx (+ (exp x) (exp (neg x))) (fma.f64 x x #s(literal 2 binary64)))
accuracy	0	(fma.f64 (*.f64 #s(literal -1/2 binary64) x) x #s(literal 1 binary64))
accuracy	0	(*.f64 #s(literal -1/2 binary64) x)
accuracy	31.874291729857685	#s(approx (/ 2 (+ (exp x) (exp (neg x)))) (fma.f64 (*.f64 #s(literal -1/2 binary64) x) x #s(literal 1 binary64)))
accuracy	31.617319430569587	#s(approx (/ 2 (+ (exp x) (exp (neg x)))) #s(literal 1 binary64))
accuracy	0	(cosh.f64 x)
accuracy	0.01953125	(/.f64 #s(literal 1 binary64) (cosh.f64 x))

Samples

68.0ms

256×

valid

Compiler

Compiled 216 to 47 computations (78.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 28.0ms

ival-mult: 7.0ms (24.6% of total)

ival-add: 6.0ms (21.1% of total)

const: 4.0ms (14% of total)

ival-div: 3.0ms (10.5% of total)

ival-exp: 3.0ms (10.5% of total)

ival-cosh: 3.0ms (10.5% of total)

ival-neg: 1.0ms (3.5% of total)

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

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

exact: 0.0ms (0% of total)

series8.0ms (0.1%)

Memory

12.9MiB live, 12.9MiB allocated

Counts

13 → 29

Calls

Call 1

Inputs
(/.f64 #s(literal 1 binary64) (cosh.f64 x))
(cosh.f64 x)
#s(approx (/ 2 (+ (exp x) (exp (neg x)))) #s(literal 1 binary64))
#s(approx (/ 2 (+ (exp x) (exp (neg x)))) (fma.f64 (*.f64 #s(literal -1/2 binary64) x) x #s(literal 1 binary64)))
(fma.f64 (*.f64 #s(literal -1/2 binary64) x) x #s(literal 1 binary64))
(*.f64 #s(literal -1/2 binary64) x)
(/.f64 #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 #s(literal 2 binary64)))
(fma.f64 x x #s(literal 2 binary64))
#s(approx (/ 2 (+ (exp x) (exp (neg x)))) (fma.f64 (fma.f64 #s(literal 5/24 binary64) (.f64 x x) #s(literal -1/2 binary64)) (.f64 x x) #s(literal 1 binary64)))
(fma.f64 (fma.f64 #s(literal 5/24 binary64) (.f64 x x) #s(literal -1/2 binary64)) (.f64 x x) #s(literal 1 binary64))
(fma.f64 #s(literal 5/24 binary64) (*.f64 x x) #s(literal -1/2 binary64))
(*.f64 x x)

Outputs
1
(+ 1 (* -1/2 (pow x 2)))
(+ 1 (* (pow x 2) (- (* 5/24 (pow x 2)) 1/2)))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 5/24 (* -61/720 (pow x 2)))) 1/2)))
(+ 1 (* 1/2 (pow x 2)))
(+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2)))))
(+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))
(* -1/2 x)
2
(+ 2 (pow x 2))
(+ 2 (* (pow x 2) (+ 1 (* 1/12 (pow x 2)))))
(+ 2 (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2)))))))
-1/2
(- (* 5/24 (pow x 2)) 1/2)
(pow x 2)
(/ 2 (+ (exp x) (/ 1 (exp x))))
(* 1/2 (+ (exp x) (/ 1 (exp x))))
(/ 2 (+ (exp x) (exp (neg x))))
(* -1/2 (pow x 2))
(* (pow x 2) (- (/ 1 (pow x 2)) 1/2))
(+ (exp x) (exp (neg x)))
(* (pow x 2) (+ 1 (* 2 (/ 1 (pow x 2)))))
(* 5/24 (pow x 4))
(* (pow x 4) (- 5/24 (* 1/2 (/ 1 (pow x 2)))))
(* (pow x 4) (- (+ 5/24 (/ 1 (pow x 4))) (* 1/2 (/ 1 (pow x 2)))))
(* 5/24 (pow x 2))
(* (pow x 2) (- 5/24 (* 1/2 (/ 1 (pow x 2)))))
(/ 2 (+ (exp x) (exp (* -1 x))))
(+ (exp x) (exp (* -1 x)))

Calls

3 calls:

Time	Variable		Point	Expression
3.0ms	x	@	inf	((/ 1 (cosh x)) (cosh x) (/ 2 (+ (exp x) (exp (neg x)))) (/ 2 (+ (exp x) (exp (neg x)))) (+ (* (* -1/2 x) x) 1) (* -1/2 x) (/ 2 (+ (exp x) (exp (neg x)))) (+ (exp x) (exp (neg x))) (+ (* x x) 2) (/ 2 (+ (exp x) (exp (neg x)))) (+ (* (+ (* 5/24 (* x x)) -1/2) (* x x)) 1) (+ (* 5/24 (* x x)) -1/2) (* x x))
3.0ms	x	@	-inf	((/ 1 (cosh x)) (cosh x) (/ 2 (+ (exp x) (exp (neg x)))) (/ 2 (+ (exp x) (exp (neg x)))) (+ (* (* -1/2 x) x) 1) (* -1/2 x) (/ 2 (+ (exp x) (exp (neg x)))) (+ (exp x) (exp (neg x))) (+ (* x x) 2) (/ 2 (+ (exp x) (exp (neg x)))) (+ (* (+ (* 5/24 (* x x)) -1/2) (* x x)) 1) (+ (* 5/24 (* x x)) -1/2) (* x x))
2.0ms	x	@	0	((/ 1 (cosh x)) (cosh x) (/ 2 (+ (exp x) (exp (neg x)))) (/ 2 (+ (exp x) (exp (neg x)))) (+ (* (* -1/2 x) x) 1) (* -1/2 x) (/ 2 (+ (exp x) (exp (neg x)))) (+ (exp x) (exp (neg x))) (+ (* x x) 2) (/ 2 (+ (exp x) (exp (neg x)))) (+ (* (+ (* 5/24 (* x x)) -1/2) (* x x)) 1) (+ (* 5/24 (* x x)) -1/2) (* x x))

Time

Variable

Point

Expression

3.0ms

inf

((/ 1 (cosh x)) (cosh x) (/ 2 (+ (exp x) (exp (neg x)))) (/ 2 (+ (exp x) (exp (neg x)))) (+ (* (* -1/2 x) x) 1) (* -1/2 x) (/ 2 (+ (exp x) (exp (neg x)))) (+ (exp x) (exp (neg x))) (+ (* x x) 2) (/ 2 (+ (exp x) (exp (neg x)))) (+ (* (+ (* 5/24 (* x x)) -1/2) (* x x)) 1) (+ (* 5/24 (* x x)) -1/2) (* x x))

3.0ms

-inf

((/ 1 (cosh x)) (cosh x) (/ 2 (+ (exp x) (exp (neg x)))) (/ 2 (+ (exp x) (exp (neg x)))) (+ (* (* -1/2 x) x) 1) (* -1/2 x) (/ 2 (+ (exp x) (exp (neg x)))) (+ (exp x) (exp (neg x))) (+ (* x x) 2) (/ 2 (+ (exp x) (exp (neg x)))) (+ (* (+ (* 5/24 (* x x)) -1/2) (* x x)) 1) (+ (* 5/24 (* x x)) -1/2) (* x x))

2.0ms

((/ 1 (cosh x)) (cosh x) (/ 2 (+ (exp x) (exp (neg x)))) (/ 2 (+ (exp x) (exp (neg x)))) (+ (* (* -1/2 x) x) 1) (* -1/2 x) (/ 2 (+ (exp x) (exp (neg x)))) (+ (exp x) (exp (neg x))) (+ (* x x) 2) (/ 2 (+ (exp x) (exp (neg x)))) (+ (* (+ (* 5/24 (* x x)) -1/2) (* x x)) 1) (+ (* 5/24 (* x x)) -1/2) (* x x))

simplify144.0ms (2.5%)

Memory

-13.3MiB live, 178.5MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	79	237
1	251	237
2	823	233
3	3619	229
0	8184	206

Stop Event

1×	iter limit
1×	node limit

Counts

29 → 29

Calls

Call 1

Inputs
1
(+ 1 (* -1/2 (pow x 2)))
(+ 1 (* (pow x 2) (- (* 5/24 (pow x 2)) 1/2)))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 5/24 (* -61/720 (pow x 2)))) 1/2)))
(+ 1 (* 1/2 (pow x 2)))
(+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2)))))
(+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))
(* -1/2 x)
2
(+ 2 (pow x 2))
(+ 2 (* (pow x 2) (+ 1 (* 1/12 (pow x 2)))))
(+ 2 (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2)))))))
-1/2
(- (* 5/24 (pow x 2)) 1/2)
(pow x 2)
(/ 2 (+ (exp x) (/ 1 (exp x))))
(* 1/2 (+ (exp x) (/ 1 (exp x))))
(/ 2 (+ (exp x) (exp (neg x))))
(* -1/2 (pow x 2))
(* (pow x 2) (- (/ 1 (pow x 2)) 1/2))
(+ (exp x) (exp (neg x)))
(* (pow x 2) (+ 1 (* 2 (/ 1 (pow x 2)))))
(* 5/24 (pow x 4))
(* (pow x 4) (- 5/24 (* 1/2 (/ 1 (pow x 2)))))
(* (pow x 4) (- (+ 5/24 (/ 1 (pow x 4))) (* 1/2 (/ 1 (pow x 2)))))
(* 5/24 (pow x 2))
(* (pow x 2) (- 5/24 (* 1/2 (/ 1 (pow x 2)))))
(/ 2 (+ (exp x) (exp (* -1 x))))
(+ (exp x) (exp (* -1 x)))

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

rewrite68.0ms (1.2%)

Memory

9.7MiB live, 87.7MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	23	108
0	35	92
1	152	92
0	1123	92

Stop Event

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

Counts

13 → 187

Calls

Call 1

Inputs
(/.f64 #s(literal 1 binary64) (cosh.f64 x))
(cosh.f64 x)
#s(approx (/ 2 (+ (exp x) (exp (neg x)))) #s(literal 1 binary64))
#s(approx (/ 2 (+ (exp x) (exp (neg x)))) (fma.f64 (*.f64 #s(literal -1/2 binary64) x) x #s(literal 1 binary64)))
(fma.f64 (*.f64 #s(literal -1/2 binary64) x) x #s(literal 1 binary64))
(*.f64 #s(literal -1/2 binary64) x)
(/.f64 #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 #s(literal 2 binary64)))
(fma.f64 x x #s(literal 2 binary64))
#s(approx (/ 2 (+ (exp x) (exp (neg x)))) (fma.f64 (fma.f64 #s(literal 5/24 binary64) (.f64 x x) #s(literal -1/2 binary64)) (.f64 x x) #s(literal 1 binary64)))
(fma.f64 (fma.f64 #s(literal 5/24 binary64) (.f64 x x) #s(literal -1/2 binary64)) (.f64 x x) #s(literal 1 binary64))
(fma.f64 #s(literal 5/24 binary64) (*.f64 x x) #s(literal -1/2 binary64))
(*.f64 x x)

Outputs
(.f64 (/.f64 #s(literal 2 binary64) (.f64 (.f64 #s(literal 2 binary64) (cosh.f64 x)) (.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 (pow.f64 (cosh.f64 x) #s(literal -1/2 binary64)) (pow.f64 (cosh.f64 x) #s(literal -1/2 binary64)))
(*.f64 (/.f64 #s(literal 1/2 binary64) (cosh.f64 x)) #s(literal 2 binary64))
(.f64 #s(literal -2 binary64) (/.f64 #s(literal 1 binary64) (.f64 #s(literal -2 binary64) (cosh.f64 x))))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (cosh.f64 x))))
(*.f64 (pow.f64 (cosh.f64 x) #s(literal -1 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1/2 binary64) (cosh.f64 x)))
(*.f64 #s(literal 1 binary64) (pow.f64 (cosh.f64 x) #s(literal -1 binary64)))
(pow.f64 (cosh.f64 x) #s(literal -1 binary64))
(/.f64 #s(literal -2 binary64) (*.f64 #s(literal -2 binary64) (cosh.f64 x)))
(/.f64 #s(literal -1 binary64) (neg.f64 (cosh.f64 x)))
(/.f64 #s(literal 2 binary64) (neg.f64 (*.f64 #s(literal -2 binary64) (cosh.f64 x))))
(/.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 x)))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (cosh.f64 x))))
(/.f64 #s(literal 1 binary64) (cosh.f64 x))
(neg.f64 (/.f64 #s(literal -2 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 x))))
(neg.f64 (/.f64 #s(literal -1 binary64) (cosh.f64 x)))
(fma.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 #s(literal 2 binary64) (cosh.f64 x)) (.f64 #s(literal 2 binary64) (sinh.f64 x)))) (.f64 #s(literal 2 binary64) (sinh.f64 x)) (/.f64 #s(literal 1/2 binary64) (cosh.f64 x)))
(fma.f64 (/.f64 #s(literal 1 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 1/2 binary64) (cosh.f64 x)))
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (cosh.f64 x)) (/.f64 #s(literal 1/2 binary64) (cosh.f64 x)))
(exp.f64 (*.f64 (log.f64 (cosh.f64 x)) #s(literal -1 binary64)))
(+.f64 (/.f64 #s(literal 1/2 binary64) (cosh.f64 x)) (/.f64 #s(literal 1/2 binary64) (cosh.f64 x)))
(.f64 (.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 1/2 binary64))
(*.f64 #s(literal 2 binary64) (/.f64 (cosh.f64 x) #s(literal 2 binary64)))
(*.f64 (cosh.f64 x) #s(literal 1 binary64))
(/.f64 (.f64 (.f64 #s(literal 2 binary64) (cosh.f64 x)) (.f64 #s(literal 2 binary64) (sinh.f64 x))) (.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 x)) #s(literal 2 binary64)))
(/.f64 (+.f64 (pow.f64 (exp.f64 (neg.f64 x)) #s(literal 3 binary64)) (pow.f64 (exp.f64 x) #s(literal 3 binary64))) (.f64 (fma.f64 (exp.f64 x) (exp.f64 x) (expm1.f64 (.f64 (neg.f64 x) #s(literal 2 binary64)))) #s(literal 2 binary64)))
(/.f64 (neg.f64 (cosh.f64 x)) #s(literal -1 binary64))
(/.f64 (*.f64 #s(literal -2 binary64) (cosh.f64 x)) #s(literal -2 binary64))
(/.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 2 binary64))
(/.f64 (cosh.f64 x) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (pow.f64 (cosh.f64 x) #s(literal -1 binary64)))
(cosh.f64 (neg.f64 (neg.f64 x)))
(cosh.f64 (neg.f64 x))
(cosh.f64 x)
(-.f64 (.f64 #s(literal 1 binary64) (cosh.f64 x)) (.f64 #s(literal 0 binary64) (sinh.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)))
#s(approx (/ 2 (+ (exp x) (exp (neg x)))) #s(literal 1 binary64))
#s(approx (/ 2 (+ (exp x) (exp (neg x)))) (fma.f64 (*.f64 #s(literal -1/2 binary64) x) x #s(literal 1 binary64)))
(.f64 (fma.f64 #s(literal 1/4 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x x) #s(literal -1/2 binary64) #s(literal -1 binary64))))
(.f64 (fma.f64 #s(literal -1/8 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/4 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1 binary64) (.f64 (*.f64 x x) #s(literal -1/2 binary64))))))
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 1/4 binary64) (pow.f64 x #s(literal 4 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 (*.f64 x x) #s(literal -1/2 binary64))))
(/.f64 (neg.f64 (fma.f64 #s(literal 1/4 binary64) (pow.f64 x #s(literal 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 (fma.f64 #s(literal -1/8 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64))) (neg.f64 (fma.f64 #s(literal 1/4 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal -1/2 binary64))))))
(/.f64 (fma.f64 #s(literal 1/4 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1 binary64)) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal -1 binary64)))
(/.f64 (fma.f64 #s(literal -1/8 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (-.f64 (.f64 #s(literal 1/4 binary64) (pow.f64 x #s(literal 4 binary64))) (.f64 (*.f64 x x) #s(literal -1/2 binary64)))))
(/.f64 (fma.f64 #s(literal -1/8 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64)) (fma.f64 #s(literal 1/4 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal -1/2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal -1 binary64)) (fma.f64 #s(literal 1/4 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/4 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal -1/2 binary64)))) (fma.f64 #s(literal -1/8 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64))))
(fma.f64 (*.f64 #s(literal -1/2 binary64) (fabs.f64 x)) (fabs.f64 x) #s(literal 1 binary64))
(fma.f64 (*.f64 #s(literal -1/2 binary64) (neg.f64 x)) (neg.f64 x) #s(literal 1 binary64))
(fma.f64 (.f64 (.f64 x x) #s(literal -1/2 binary64)) #s(literal 1 binary64) #s(literal 1 binary64))
(fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64))
(fma.f64 (.f64 #s(literal -1/2 binary64) x) (.f64 x #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 (*.f64 #s(literal -1/2 binary64) x) x #s(literal 1 binary64))
(fma.f64 #s(literal -1/2 binary64) (.f64 (.f64 x x) #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))
(fma.f64 x (.f64 (.f64 #s(literal -1/2 binary64) x) #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 x (*.f64 #s(literal -1/2 binary64) x) #s(literal 1 binary64))
(fma.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(-.f64 (/.f64 (.f64 #s(literal 1/4 binary64) (pow.f64 x #s(literal 4 binary64))) (fma.f64 (.f64 x x) #s(literal -1/2 binary64) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal -1 binary64))))
(-.f64 #s(literal 1 binary64) (.f64 (neg.f64 (.f64 #s(literal -1/2 binary64) x)) x))
(-.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (.f64 x x)))
(-.f64 #s(literal 1 binary64) (.f64 (neg.f64 x) (.f64 #s(literal -1/2 binary64) x)))
(+.f64 (/.f64 (.f64 #s(literal -1/8 binary64) (pow.f64 x #s(literal 6 binary64))) (fma.f64 #s(literal 1/4 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal -1/2 binary64))))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/4 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1 binary64) (.f64 (*.f64 x x) #s(literal -1/2 binary64))))))
(+.f64 (.f64 (.f64 x x) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal -1/2 binary64)))
(*.f64 #s(literal -1/2 binary64) x)
(*.f64 x #s(literal -1/2 binary64))
(*.f64 (pow.f64 #s(approx (+ (exp x) (exp (neg x))) (fma.f64 x x #s(literal 2 binary64))) #s(literal -1 binary64)) #s(literal 2 binary64))
(*.f64 #s(literal -2 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 #s(approx (+ (exp x) (exp (neg x))) (fma.f64 x x #s(literal 2 binary64))))))
(*.f64 #s(literal 2 binary64) (pow.f64 #s(approx (+ (exp x) (exp (neg x))) (fma.f64 x x #s(literal 2 binary64))) #s(literal -1 binary64)))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 x x #s(literal 2 binary64)))))
(pow.f64 (*.f64 #s(approx (+ (exp x) (exp (neg x))) (fma.f64 x x #s(literal 2 binary64))) #s(literal 1/2 binary64)) #s(literal -1 binary64))
(/.f64 #s(literal -2 binary64) (neg.f64 #s(approx (+ (exp x) (exp (neg x))) (fma.f64 x x #s(literal 2 binary64)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 #s(approx (+ (exp x) (exp (neg x))) (fma.f64 x x #s(literal 2 binary64))) #s(literal 1/2 binary64))))
(/.f64 #s(literal 2 binary64) (neg.f64 (neg.f64 #s(approx (+ (exp x) (exp (neg x))) (fma.f64 x x #s(literal 2 binary64))))))
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 x x #s(literal 2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(approx (+ (exp x) (exp (neg x))) (fma.f64 x x #s(literal 2 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (*.f64 #s(approx (+ (exp x) (exp (neg x))) (fma.f64 x x #s(literal 2 binary64))) #s(literal 1/2 binary64)))
(neg.f64 (/.f64 #s(literal -2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 x x #s(literal 2 binary64)))))
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(*.f64 x x)
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(pow.f64 x #s(literal 2 binary64))
(neg.f64 (*.f64 (neg.f64 x) x))
(neg.f64 (*.f64 x (neg.f64 x)))
(sqrt.f64 (pow.f64 x #s(literal 4 binary64)))
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(exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)))

eval30.0ms (0.5%)

Memory: 20.0MiB live, 62.0MiB allocated
Compiler: Compiled 4 732 to 743 computations (84.3% saved)

prune9.0ms (0.2%)

Memory

-14.6MiB live, 23.9MiB allocated

Pruning

9 alts after pruning (4 fresh and 5 done)

	Pruned	Kept	Total
New	229	2	231
Fresh	0	2	2
Picked	0	5	5
Done	0	0	0
Total	229	9	238

Accuracy

100.0%

Counts

238 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	50.8%	(/.f64 #s(literal 2 binary64) (/.f64 (sinh.f64 (*.f64 #s(literal 2 binary64) x)) (sinh.f64 x)))
✓	77.1%	(/.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))
▶	91.5%	(/.f64 #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))))
▶	86.2%	(/.f64 #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))))
▶	50.3%	#s(approx (/ 2 (+ (exp x) (exp (neg x)))) (fma.f64 (fma.f64 (fma.f64 #s(literal -61/720 binary64) (.f64 x x) #s(literal 5/24 binary64)) (.f64 x x) #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))
✓	50.3%	#s(approx (/ 2 (+ (exp x) (exp (neg x)))) (fma.f64 (fma.f64 #s(literal 5/24 binary64) (.f64 x x) #s(literal -1/2 binary64)) (.f64 x x) #s(literal 1 binary64)))
✓	50.2%	#s(approx (/ 2 (+ (exp x) (exp (neg x)))) (fma.f64 (*.f64 #s(literal -1/2 binary64) x) x #s(literal 1 binary64)))
✓	50.6%	#s(approx (/ 2 (+ (exp x) (exp (neg x)))) #s(literal 1 binary64))

Compiler

Compiled 133 to 93 computations (30.1% saved)

simplify130.0ms (2.3%)

Memory

-12.7MiB live, 183.5MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 16 expressions of interest:

New	Metric	Score
cost-diff	0	(*.f64 #s(literal 2 binary64) x)
cost-diff	0	(sinh.f64 (*.f64 #s(literal 2 binary64) x))
cost-diff	0	(/.f64 (sinh.f64 (*.f64 #s(literal 2 binary64) x)) (sinh.f64 x))
cost-diff	384	(/.f64 #s(literal 2 binary64) (/.f64 (sinh.f64 (*.f64 #s(literal 2 binary64) x)) (sinh.f64 x)))
cost-diff	0	(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))
cost-diff	0	(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))
cost-diff	0	#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)))
cost-diff	0	(/.f64 #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))))
cost-diff	0	(fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64))
cost-diff	0	(fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 x x) #s(literal 1/2 binary64)) (.f64 x x) #s(literal 1 binary64))
cost-diff	0	#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)))
cost-diff	0	(/.f64 #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))))
cost-diff	0	(fma.f64 #s(literal -61/720 binary64) (*.f64 x x) #s(literal 5/24 binary64))
cost-diff	0	(fma.f64 (fma.f64 #s(literal -61/720 binary64) (.f64 x x) #s(literal 5/24 binary64)) (.f64 x x) #s(literal -1/2 binary64))
cost-diff	0	(fma.f64 (fma.f64 (fma.f64 #s(literal -61/720 binary64) (.f64 x x) #s(literal 5/24 binary64)) (.f64 x x) #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))
cost-diff	0	#s(approx (/ 2 (+ (exp x) (exp (neg x)))) (fma.f64 (fma.f64 (fma.f64 #s(literal -61/720 binary64) (.f64 x x) #s(literal 5/24 binary64)) (.f64 x x) #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	34	228
0	58	228
1	119	228
2	405	228
3	2231	226
0	8913	226

Stop Event

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

Calls

Call 1

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

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

localize205.0ms (3.6%)

Memory

29.4MiB live, 383.9MiB allocated

Localize:

Found 16 expressions of interest:

New	Metric	Score
accuracy	0.00390625	(sinh.f64 (*.f64 #s(literal 2 binary64) x))
accuracy	0.015625	(sinh.f64 x)
accuracy	0.01953125	(/.f64 #s(literal 2 binary64) (/.f64 (sinh.f64 (*.f64 #s(literal 2 binary64) x)) (sinh.f64 x)))
accuracy	0.8673371293442099	(/.f64 (sinh.f64 (*.f64 #s(literal 2 binary64) x)) (sinh.f64 x))
accuracy	0.01171875	(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))
accuracy	0.01171875	(fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64))
accuracy	0.01953125	(/.f64 #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))))
accuracy	1.6359543517601989	#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)))
accuracy	0.00390625	(fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 x x) #s(literal 1/2 binary64)) (.f64 x x) #s(literal 1 binary64))
accuracy	0.00390625	(fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64))
accuracy	0.01953125	(/.f64 #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))))
accuracy	1.7202219080923837	#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)))
accuracy	0.0078125	(fma.f64 (fma.f64 (fma.f64 #s(literal -61/720 binary64) (.f64 x x) #s(literal 5/24 binary64)) (.f64 x x) #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))
accuracy	0.0078125	(fma.f64 (fma.f64 #s(literal -61/720 binary64) (.f64 x x) #s(literal 5/24 binary64)) (.f64 x x) #s(literal -1/2 binary64))
accuracy	0.01953125	(fma.f64 #s(literal -61/720 binary64) (*.f64 x x) #s(literal 5/24 binary64))
accuracy	1.8051136991813261	#s(approx (/ 2 (+ (exp x) (exp (neg x)))) (fma.f64 (fma.f64 (fma.f64 #s(literal -61/720 binary64) (.f64 x x) #s(literal 5/24 binary64)) (.f64 x x) #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))

Samples

134.0ms	122×	5	exit
37.0ms	134×	0	valid

Compiler

Compiled 398 to 75 computations (81.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 130.0ms

adjust: 41.0ms (31.5% of total)

ival-mult: 24.0ms (18.4% of total)

const: 17.0ms (13.1% of total)

ival-add: 17.0ms (13.1% of total)

ival-exp: 15.0ms (11.5% of total)

ival-div: 9.0ms (6.9% of total)

ival-cosh: 3.0ms (2.3% of total)

ival-sinh: 2.0ms (1.5% of total)

exact: 1.0ms (0.8% of total)

ival-neg: 1.0ms (0.8% of total)

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

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

series27.0ms (0.5%)

Memory

-11.9MiB live, 31.0MiB allocated

Counts

18 → 60

Calls

Call 1

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

Outputs
1
(+ 1 (* -1/2 (pow x 2)))
(+ 1 (* (pow x 2) (- (* 5/24 (pow x 2)) 1/2)))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 5/24 (* -61/720 (pow x 2)))) 1/2)))
-1/2
(- (* 5/24 (pow x 2)) 1/2)
(- (* (pow x 2) (+ 5/24 (* -61/720 (pow x 2)))) 1/2)
5/24
(+ 5/24 (* -61/720 (pow x 2)))
(+ 1 (* 1/2 (pow x 2)))
(+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2)))))
(+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))
1/2
(+ 1/2 (* 1/24 (pow x 2)))
(+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))
2
(+ 2 (pow x 2))
(+ 2 (* (pow x 2) (+ 1 (* 1/12 (pow x 2)))))
(+ 2 (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2)))))))
(* 2 x)
(* x (+ 2 (* 4/3 (pow x 2))))
(* x (+ 2 (* (pow x 2) (+ 4/3 (* 4/15 (pow x 2))))))
(* x (+ 2 (* (pow x 2) (+ 4/3 (* (pow x 2) (+ 4/15 (* 8/315 (pow x 2))))))))
1/24
(+ 1/24 (* 1/720 (pow x 2)))
x
(* x (+ 1 (* 1/6 (pow x 2))))
(* x (+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2))))))
(* x (+ 1 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2))))))))
(/ 2 (+ (exp x) (exp (neg x))))
(* -61/720 (pow x 6))
(* (pow x 6) (- (* 5/24 (/ 1 (pow x 2))) 61/720))
(* (pow x 6) (- (* 5/24 (/ 1 (pow x 2))) (+ 61/720 (/ 1/2 (pow x 4)))))
(* (pow x 6) (- (+ (* 5/24 (/ 1 (pow x 2))) (/ 1 (pow x 6))) (+ 61/720 (/ 1/2 (pow x 4)))))
(* -61/720 (pow x 4))
(* (pow x 4) (- (* 5/24 (/ 1 (pow x 2))) 61/720))
(* (pow x 4) (- (* 5/24 (/ 1 (pow x 2))) (+ 61/720 (/ 1/2 (pow x 4)))))
(* -61/720 (pow x 2))
(* (pow x 2) (- (* 5/24 (/ 1 (pow x 2))) 61/720))
(/ 2 (+ (exp x) (/ 1 (exp x))))
(* 1/2 (+ (exp x) (/ 1 (exp x))))
(* 1/24 (pow x 4))
(* (pow x 4) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 1/24 (+ (* 1/2 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))
(* 1/24 (pow x 2))
(* (pow x 2) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))
(* 1/720 (pow x 6))
(* (pow x 6) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))
(* (pow x 6) (+ 1/720 (+ (/ 1/2 (pow x 4)) (* 1/24 (/ 1 (pow x 2))))))
(* (pow x 6) (+ 1/720 (+ (/ 1/2 (pow x 4)) (+ (* 1/24 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))
(* 1/720 (pow x 4))
(* (pow x 4) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 1/720 (+ (/ 1/2 (pow x 4)) (* 1/24 (/ 1 (pow x 2))))))
(* 2 (/ (- (exp x) (/ 1 (exp x))) (- (exp (* 2 x)) (/ 1 (exp (* 2 x))))))
(/ (- (exp (* 2 x)) (/ 1 (exp (* 2 x)))) (- (exp x) (/ 1 (exp x))))
(* 1/2 (- (exp (* 2 x)) (/ 1 (exp (* 2 x)))))
(* 1/720 (pow x 2))
(* (pow x 2) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))
(* 1/2 (- (exp x) (/ 1 (exp x))))
(/ 2 (+ (exp x) (exp (* -1 x))))

Calls

3 calls:

Time

Variable

Point

Expression

15.0ms

inf

((/ 2 (+ (exp x) (exp (neg x)))) (+ (* (+ (* (+ (* -61/720 (* x x)) 5/24) (* x x)) -1/2) (* x x)) 1) (+ (* (+ (* -61/720 (* x x)) 5/24) (* x x)) -1/2) (+ (* -61/720 (* x x)) 5/24) (/ 1 (cosh x)) (cosh x) (+ (* (+ (* 1/24 (* x x)) 1/2) (* x x)) 1) (+ (* 1/24 (* x x)) 1/2) (/ 1 (cosh x)) (cosh x) (+ (* (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (* x x)) 1) (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (/ 2 (/ (sinh (* 2 x)) (sinh x))) (/ (sinh (* 2 x)) (sinh x)) (sinh (* 2 x)) (* 2 x) (+ (* 1/720 (* x x)) 1/24) (sinh x))

8.0ms

-inf

((/ 2 (+ (exp x) (exp (neg x)))) (+ (* (+ (* (+ (* -61/720 (* x x)) 5/24) (* x x)) -1/2) (* x x)) 1) (+ (* (+ (* -61/720 (* x x)) 5/24) (* x x)) -1/2) (+ (* -61/720 (* x x)) 5/24) (/ 1 (cosh x)) (cosh x) (+ (* (+ (* 1/24 (* x x)) 1/2) (* x x)) 1) (+ (* 1/24 (* x x)) 1/2) (/ 1 (cosh x)) (cosh x) (+ (* (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (* x x)) 1) (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (/ 2 (/ (sinh (* 2 x)) (sinh x))) (/ (sinh (* 2 x)) (sinh x)) (sinh (* 2 x)) (* 2 x) (+ (* 1/720 (* x x)) 1/24) (sinh x))

3.0ms

((/ 2 (+ (exp x) (exp (neg x)))) (+ (* (+ (* (+ (* -61/720 (* x x)) 5/24) (* x x)) -1/2) (* x x)) 1) (+ (* (+ (* -61/720 (* x x)) 5/24) (* x x)) -1/2) (+ (* -61/720 (* x x)) 5/24) (/ 1 (cosh x)) (cosh x) (+ (* (+ (* 1/24 (* x x)) 1/2) (* x x)) 1) (+ (* 1/24 (* x x)) 1/2) (/ 1 (cosh x)) (cosh x) (+ (* (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (* x x)) 1) (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (/ 2 (/ (sinh (* 2 x)) (sinh x))) (/ (sinh (* 2 x)) (sinh x)) (sinh (* 2 x)) (* 2 x) (+ (* 1/720 (* x x)) 1/24) (sinh x))

simplify334.0ms (5.8%)

Memory

13.9MiB live, 180.6MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	153	608
1	546	605
2	1853	583
3	6171	583
0	8072	541

Stop Event

1×	iter limit
1×	node limit

Counts

60 → 59

Calls

Call 1

Inputs
1
(+ 1 (* -1/2 (pow x 2)))
(+ 1 (* (pow x 2) (- (* 5/24 (pow x 2)) 1/2)))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 5/24 (* -61/720 (pow x 2)))) 1/2)))
-1/2
(- (* 5/24 (pow x 2)) 1/2)
(- (* (pow x 2) (+ 5/24 (* -61/720 (pow x 2)))) 1/2)
5/24
(+ 5/24 (* -61/720 (pow x 2)))
(+ 1 (* 1/2 (pow x 2)))
(+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2)))))
(+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))
1/2
(+ 1/2 (* 1/24 (pow x 2)))
(+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))
2
(+ 2 (pow x 2))
(+ 2 (* (pow x 2) (+ 1 (* 1/12 (pow x 2)))))
(+ 2 (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2)))))))
(* 2 x)
(* x (+ 2 (* 4/3 (pow x 2))))
(* x (+ 2 (* (pow x 2) (+ 4/3 (* 4/15 (pow x 2))))))
(* x (+ 2 (* (pow x 2) (+ 4/3 (* (pow x 2) (+ 4/15 (* 8/315 (pow x 2))))))))
1/24
(+ 1/24 (* 1/720 (pow x 2)))
x
(* x (+ 1 (* 1/6 (pow x 2))))
(* x (+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2))))))
(* x (+ 1 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2))))))))
(/ 2 (+ (exp x) (exp (neg x))))
(* -61/720 (pow x 6))
(* (pow x 6) (- (* 5/24 (/ 1 (pow x 2))) 61/720))
(* (pow x 6) (- (* 5/24 (/ 1 (pow x 2))) (+ 61/720 (/ 1/2 (pow x 4)))))
(* (pow x 6) (- (+ (* 5/24 (/ 1 (pow x 2))) (/ 1 (pow x 6))) (+ 61/720 (/ 1/2 (pow x 4)))))
(* -61/720 (pow x 4))
(* (pow x 4) (- (* 5/24 (/ 1 (pow x 2))) 61/720))
(* (pow x 4) (- (* 5/24 (/ 1 (pow x 2))) (+ 61/720 (/ 1/2 (pow x 4)))))
(* -61/720 (pow x 2))
(* (pow x 2) (- (* 5/24 (/ 1 (pow x 2))) 61/720))
(/ 2 (+ (exp x) (/ 1 (exp x))))
(* 1/2 (+ (exp x) (/ 1 (exp x))))
(* 1/24 (pow x 4))
(* (pow x 4) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 1/24 (+ (* 1/2 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))
(* 1/24 (pow x 2))
(* (pow x 2) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))
(* 1/720 (pow x 6))
(* (pow x 6) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))
(* (pow x 6) (+ 1/720 (+ (/ 1/2 (pow x 4)) (* 1/24 (/ 1 (pow x 2))))))
(* (pow x 6) (+ 1/720 (+ (/ 1/2 (pow x 4)) (+ (* 1/24 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))
(* 1/720 (pow x 4))
(* (pow x 4) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 1/720 (+ (/ 1/2 (pow x 4)) (* 1/24 (/ 1 (pow x 2))))))
(* 2 (/ (- (exp x) (/ 1 (exp x))) (- (exp (* 2 x)) (/ 1 (exp (* 2 x))))))
(/ (- (exp (* 2 x)) (/ 1 (exp (* 2 x)))) (- (exp x) (/ 1 (exp x))))
(* 1/2 (- (exp (* 2 x)) (/ 1 (exp (* 2 x)))))
(* 1/720 (pow x 2))
(* (pow x 2) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))
(* 1/2 (- (exp x) (/ 1 (exp x))))
(/ 2 (+ (exp x) (exp (* -1 x))))

Outputs
1
#s(literal 1 binary64)
(+ 1 (* -1/2 (pow x 2)))
(fma.f64 (*.f64 #s(literal -1/2 binary64) x) x #s(literal 1 binary64))
(+ 1 (* (pow x 2) (- (* 5/24 (pow x 2)) 1/2)))
(fma.f64 (fma.f64 #s(literal 5/24 binary64) (.f64 x x) #s(literal -1/2 binary64)) (.f64 x x) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 5/24 (* -61/720 (pow x 2)))) 1/2)))
(fma.f64 (fma.f64 (fma.f64 #s(literal -61/720 binary64) (.f64 x x) #s(literal 5/24 binary64)) (.f64 x x) #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))
-1/2
#s(literal -1/2 binary64)
(- (* 5/24 (pow x 2)) 1/2)
(fma.f64 #s(literal 5/24 binary64) (*.f64 x x) #s(literal -1/2 binary64))
(- (* (pow x 2) (+ 5/24 (* -61/720 (pow x 2)))) 1/2)
(fma.f64 (fma.f64 #s(literal -61/720 binary64) (.f64 x x) #s(literal 5/24 binary64)) (.f64 x x) #s(literal -1/2 binary64))
5/24
#s(literal 5/24 binary64)
(+ 5/24 (* -61/720 (pow x 2)))
(fma.f64 #s(literal -61/720 binary64) (*.f64 x x) #s(literal 5/24 binary64))
(+ 1 (* 1/2 (pow x 2)))
(fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2)))))
(fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 x x) #s(literal 1/2 binary64)) (.f64 x x) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))
(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))
1/2
#s(literal 1/2 binary64)
(+ 1/2 (* 1/24 (pow x 2)))
(fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64))
(+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))
(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))
2
#s(literal 2 binary64)
(+ 2 (pow x 2))
(fma.f64 x x #s(literal 2 binary64))
(+ 2 (* (pow x 2) (+ 1 (* 1/12 (pow x 2)))))
(fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64) (fma.f64 x x #s(literal 2 binary64)))
(+ 2 (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2)))))))
(fma.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 #s(literal 1/360 binary64) (*.f64 x x) #s(literal 1/12 binary64)) (fma.f64 x x #s(literal 2 binary64)))
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(* x (+ 2 (* 4/3 (pow x 2))))
(.f64 (fma.f64 #s(literal 4/3 binary64) (.f64 x x) #s(literal 2 binary64)) x)
(* x (+ 2 (* (pow x 2) (+ 4/3 (* 4/15 (pow x 2))))))
(.f64 (fma.f64 (fma.f64 #s(literal 4/15 binary64) (.f64 x x) #s(literal 4/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x)
(* x (+ 2 (* (pow x 2) (+ 4/3 (* (pow x 2) (+ 4/15 (* 8/315 (pow x 2))))))))
(.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 8/315 binary64) (.f64 x x) #s(literal 4/15 binary64)) (.f64 x x) #s(literal 4/3 binary64)) (.f64 x x) #s(literal 2 binary64)) x)
1/24
#s(literal 1/24 binary64)
(+ 1/24 (* 1/720 (pow x 2)))
(fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64))
x
(* x (+ 1 (* 1/6 (pow x 2))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/6 binary64) x)
(* x (+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2))))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal 1/6 binary64)) x)
(* x (+ 1 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2))))))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (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)) x)
(/ 2 (+ (exp x) (exp (neg x))))
(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)))
(* -61/720 (pow x 6))
(*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -61/720 binary64))
(* (pow x 6) (- (* 5/24 (/ 1 (pow x 2))) 61/720))
(.f64 (-.f64 (/.f64 #s(literal 5/24 binary64) (.f64 x x)) #s(literal 61/720 binary64)) (pow.f64 x #s(literal 6 binary64)))
(* (pow x 6) (- (* 5/24 (/ 1 (pow x 2))) (+ 61/720 (/ 1/2 (pow x 4)))))
(.f64 (-.f64 (-.f64 #s(literal -61/720 binary64) (/.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 4 binary64)))) (/.f64 #s(literal -5/24 binary64) (.f64 x x))) (pow.f64 x #s(literal 6 binary64)))
(* (pow x 6) (- (+ (* 5/24 (/ 1 (pow x 2))) (/ 1 (pow x 6))) (+ 61/720 (/ 1/2 (pow x 4)))))
(+.f64 #s(literal 1 binary64) (.f64 (-.f64 (-.f64 #s(literal -61/720 binary64) (/.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 4 binary64)))) (/.f64 #s(literal -5/24 binary64) (.f64 x x))) (pow.f64 x #s(literal 6 binary64))))
(* -61/720 (pow x 4))
(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -61/720 binary64))
(* (pow x 4) (- (* 5/24 (/ 1 (pow x 2))) 61/720))
(.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (/.f64 #s(literal 5/24 binary64) (.f64 x x)) #s(literal 61/720 binary64)))
(* (pow x 4) (- (* 5/24 (/ 1 (pow x 2))) (+ 61/720 (/ 1/2 (pow x 4)))))
(.f64 (-.f64 (-.f64 #s(literal -61/720 binary64) (/.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 4 binary64)))) (/.f64 #s(literal -5/24 binary64) (.f64 x x))) (pow.f64 x #s(literal 4 binary64)))
(* -61/720 (pow x 2))
(.f64 #s(literal -61/720 binary64) (.f64 x x))
(* (pow x 2) (- (* 5/24 (/ 1 (pow x 2))) 61/720))
(.f64 (.f64 (-.f64 (/.f64 #s(literal 5/24 binary64) (*.f64 x x)) #s(literal 61/720 binary64)) x) x)
(/ 2 (+ (exp x) (/ 1 (exp x))))
(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)))
(* 1/2 (+ (exp x) (/ 1 (exp x))))
(fma.f64 #s(literal 1/2 binary64) (exp.f64 x) (/.f64 #s(literal 1/2 binary64) (exp.f64 x)))
(* 1/24 (pow x 4))
(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/24 binary64))
(* (pow x 4) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))
(.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 x x)) #s(literal 1/24 binary64)) (pow.f64 x #s(literal 4 binary64)))
(* (pow x 4) (+ 1/24 (+ (* 1/2 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))
(fma.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) #s(literal 1/24 binary64)) (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64))
(* 1/24 (pow x 2))
(.f64 #s(literal 1/24 binary64) (.f64 x x))
(* (pow x 2) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))
(fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64))
(* 1/720 (pow x 6))
(*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/720 binary64))
(* (pow x 6) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))
(.f64 (+.f64 (/.f64 #s(literal 1/24 binary64) (.f64 x x)) #s(literal 1/720 binary64)) (pow.f64 x #s(literal 6 binary64)))
(* (pow x 6) (+ 1/720 (+ (/ 1/2 (pow x 4)) (* 1/24 (/ 1 (pow x 2))))))
(.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/720 binary64)) (/.f64 #s(literal -1/24 binary64) (.f64 x x))) (pow.f64 x #s(literal 6 binary64)))
(* (pow x 6) (+ 1/720 (+ (/ 1/2 (pow x 4)) (+ (* 1/24 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))
(fma.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/720 binary64)) (/.f64 #s(literal -1/24 binary64) (*.f64 x x))) (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64))
(* 1/720 (pow x 4))
(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/720 binary64))
(* (pow x 4) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))
(.f64 (+.f64 (/.f64 #s(literal 1/24 binary64) (.f64 x x)) #s(literal 1/720 binary64)) (pow.f64 x #s(literal 4 binary64)))
(* (pow x 4) (+ 1/720 (+ (/ 1/2 (pow x 4)) (* 1/24 (/ 1 (pow x 2))))))
(.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/720 binary64)) (/.f64 #s(literal -1/24 binary64) (.f64 x x))) (pow.f64 x #s(literal 4 binary64)))
(* 2 (/ (- (exp x) (/ 1 (exp x))) (- (exp (* 2 x)) (/ 1 (exp (* 2 x))))))
(*.f64 (/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (-.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) (pow.f64 (exp.f64 x) #s(literal -2 binary64)))) #s(literal 2 binary64))
(/ (- (exp (* 2 x)) (/ 1 (exp (* 2 x)))) (- (exp x) (/ 1 (exp x))))
(/.f64 (-.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) (pow.f64 (exp.f64 x) #s(literal -2 binary64))) (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(* 1/2 (- (exp (* 2 x)) (/ 1 (exp (* 2 x)))))
(*.f64 (-.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) (pow.f64 (exp.f64 x) #s(literal -2 binary64))) #s(literal 1/2 binary64))
(* 1/720 (pow x 2))
(.f64 #s(literal 1/720 binary64) (.f64 x x))
(* (pow x 2) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))
(fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64))
(* 1/2 (- (exp x) (/ 1 (exp x))))
(*.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 1/2 binary64))
(/ 2 (+ (exp x) (exp (* -1 x))))
(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)))

rewrite281.0ms (4.9%)

Memory

-10.1MiB live, 186.3MiB allocated

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	34	203
0	58	199
1	266	191
2	2078	191
0	8480	191

Stop Event

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

Counts

18 → 776

Calls

Call 1

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

Outputs
#s(approx (/ 2 (+ (exp x) (exp (neg x)))) (fma.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal -61/720 binary64) #s(literal 5/24 binary64)) (.f64 x x) #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))
(.f64 (fma.f64 (pow.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal -61/720 binary64) #s(literal 5/24 binary64)) (.f64 x x) #s(literal -1/2 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)) #s(literal -1 binary64)) (pow.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal -61/720 binary64) #s(literal 5/24 binary64)) (.f64 x x) #s(literal -1/2 binary64)) (.f64 x x) #s(literal -1 binary64)) #s(literal -1 binary64)))
(.f64 (fma.f64 (pow.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal -61/720 binary64) #s(literal 5/24 binary64)) (.f64 x x) #s(literal -1/2 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64)) (pow.f64 (-.f64 (fma.f64 (pow.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal -61/720 binary64) #s(literal 5/24 binary64)) (.f64 x x) #s(literal -1/2 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)) (.f64 (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal -61/720 binary64) #s(literal 5/24 binary64)) (*.f64 x x) #s(literal -1/2 binary64)) x) x)) #s(literal -1 binary64)))
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(+.f64 #s(literal 1/24 binary64) (.f64 #s(literal 1/720 binary64) (.f64 x x)))
(.f64 (.f64 #s(literal 2 binary64) (sinh.f64 x)) #s(literal 1/2 binary64))
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(/.f64 #s(literal 1 binary64) (pow.f64 (sinh.f64 x) #s(literal -1 binary64)))
(sinh.f64 x)
(neg.f64 (sinh.f64 (neg.f64 x)))
(-.f64 (/.f64 (-.f64 (exp.f64 x) (cosh.f64 x)) #s(literal 2 binary64)) (/.f64 (sinh.f64 (neg.f64 x)) #s(literal 2 binary64)))
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eval209.0ms (3.6%)

Memory: 4.1MiB live, 157.3MiB allocated
Compiler: Compiled 24 308 to 3 416 computations (85.9% saved)

prune31.0ms (0.5%)

Memory

18.2MiB live, 56.2MiB allocated

Pruning

15 alts after pruning (8 fresh and 7 done)

	Pruned	Kept	Total
New	822	8	830
Fresh	0	0	0
Picked	2	2	4
Done	0	5	5
Total	824	15	839

Accuracy

100.0%

Counts

839 → 15

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	50.8%	(/.f64 (.f64 #s(literal 2 binary64) (sinh.f64 x)) (sinh.f64 (.f64 x #s(literal 2 binary64))))
✓	77.1%	(/.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))
✓	91.5%	(/.f64 #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))))
	91.5%	(/.f64 #s(literal 1 binary64) #s(approx (cosh x) (fma.f64 (fma.f64 (-.f64 #s(literal 1/24 binary64) (.f64 #s(literal -1/720 binary64) (.f64 x x))) (.f64 x x) #s(literal 1/2 binary64)) (.f64 x x) #s(literal 1 binary64))))
▶	91.5%	(/.f64 #s(literal 1 binary64) #s(approx (cosh x) (fma.f64 (fma.f64 (.f64 (fma.f64 #s(literal 1/720 binary64) (.f64 x x) #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))))
▶	86.2%	(/.f64 #s(literal 1 binary64) #s(approx (cosh x) (fma.f64 (fma.f64 (.f64 #s(literal 1/24 binary64) x) x #s(literal 1/2 binary64)) (.f64 x x) #s(literal 1 binary64))))
	91.2%	(/.f64 #s(literal 1 binary64) #s(approx (cosh x) (fma.f64 (fma.f64 #s(approx (+ (* 1/720 (* x x)) 1/24) (.f64 #s(literal 1/720 binary64) (.f64 x x))) (.f64 x x) #s(literal 1/2 binary64)) (.f64 x x) #s(literal 1 binary64))))
▶	91.5%	(/.f64 #s(literal 1 binary64) #s(approx (cosh x) (fma.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x) x #s(literal 1 binary64))))
	86.2%	(/.f64 #s(literal 1 binary64) #s(approx (cosh x) (fma.f64 (.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 x x) #s(literal 1/2 binary64)) x) x #s(literal 1 binary64))))
▶	85.7%	(/.f64 #s(literal 1 binary64) #s(approx (cosh x) (fma.f64 #s(approx (+ (* 1/24 (* x x)) 1/2) (.f64 #s(literal 1/24 binary64) (.f64 x x))) (*.f64 x x) #s(literal 1 binary64))))
✓	50.3%	#s(approx (/ 2 (+ (exp x) (exp (neg x)))) (fma.f64 (fma.f64 (fma.f64 #s(literal -61/720 binary64) (.f64 x x) #s(literal 5/24 binary64)) (.f64 x x) #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))
✓	50.3%	#s(approx (/ 2 (+ (exp x) (exp (neg x)))) (fma.f64 (fma.f64 #s(literal 5/24 binary64) (.f64 x x) #s(literal -1/2 binary64)) (.f64 x x) #s(literal 1 binary64)))
✓	50.2%	#s(approx (/ 2 (+ (exp x) (exp (neg x)))) (fma.f64 (*.f64 #s(literal -1/2 binary64) x) x #s(literal 1 binary64)))
✓	50.6%	#s(approx (/ 2 (+ (exp x) (exp (neg x)))) #s(literal 1 binary64))

Compiler

Compiled 420 to 276 computations (34.3% saved)

simplify180.0ms (3.1%)

Memory

-23.1MiB live, 102.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
cost-diff	0	(sinh.f64 (*.f64 x #s(literal 2 binary64)))
cost-diff	0	(sinh.f64 x)
cost-diff	0	(*.f64 #s(literal 2 binary64) (sinh.f64 x))
cost-diff	0	(/.f64 (.f64 #s(literal 2 binary64) (sinh.f64 x)) (sinh.f64 (.f64 x #s(literal 2 binary64))))
cost-diff	0	(fma.f64 (.f64 (fma.f64 #s(literal 1/720 binary64) (.f64 x x) #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64))
cost-diff	0	(fma.f64 (fma.f64 (.f64 (fma.f64 #s(literal 1/720 binary64) (.f64 x x) #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))
cost-diff	0	#s(approx (cosh x) (fma.f64 (fma.f64 (.f64 (fma.f64 #s(literal 1/720 binary64) (.f64 x x) #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))
cost-diff	0	(/.f64 #s(literal 1 binary64) #s(approx (cosh x) (fma.f64 (fma.f64 (.f64 (fma.f64 #s(literal 1/720 binary64) (.f64 x x) #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))))
cost-diff	0	(fma.f64 (*.f64 #s(literal 1/24 binary64) x) x #s(literal 1/2 binary64))
cost-diff	0	(fma.f64 (fma.f64 (.f64 #s(literal 1/24 binary64) x) x #s(literal 1/2 binary64)) (.f64 x x) #s(literal 1 binary64))
cost-diff	0	#s(approx (cosh x) (fma.f64 (fma.f64 (.f64 #s(literal 1/24 binary64) x) x #s(literal 1/2 binary64)) (.f64 x x) #s(literal 1 binary64)))
cost-diff	0	(/.f64 #s(literal 1 binary64) #s(approx (cosh x) (fma.f64 (fma.f64 (.f64 #s(literal 1/24 binary64) x) x #s(literal 1/2 binary64)) (.f64 x x) #s(literal 1 binary64))))
cost-diff	0	#s(approx (+ (* 1/24 (* x x)) 1/2) (.f64 #s(literal 1/24 binary64) (.f64 x x)))
cost-diff	0	(fma.f64 #s(approx (+ (* 1/24 (* x x)) 1/2) (.f64 #s(literal 1/24 binary64) (.f64 x x))) (*.f64 x x) #s(literal 1 binary64))
cost-diff	0	#s(approx (cosh x) (fma.f64 #s(approx (+ (* 1/24 (* x x)) 1/2) (.f64 #s(literal 1/24 binary64) (.f64 x x))) (*.f64 x x) #s(literal 1 binary64)))
cost-diff	0	(/.f64 #s(literal 1 binary64) #s(approx (cosh x) (fma.f64 #s(approx (+ (* 1/24 (* x x)) 1/2) (.f64 #s(literal 1/24 binary64) (.f64 x x))) (*.f64 x x) #s(literal 1 binary64))))
cost-diff	0	(.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x)
cost-diff	0	(fma.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x) x #s(literal 1 binary64))
cost-diff	0	#s(approx (cosh x) (fma.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x) x #s(literal 1 binary64)))
cost-diff	0	(/.f64 #s(literal 1 binary64) #s(approx (cosh x) (fma.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x) x #s(literal 1 binary64))))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	37	350
0	67	346
1	122	346
2	341	346
3	1458	346
4	5350	346
0	8321	346

Stop Event

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

Calls

Call 1

Inputs
(/.f64 #s(literal 1 binary64) #s(approx (cosh x) (fma.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x) x #s(literal 1 binary64))))
#s(literal 1 binary64)
#s(approx (cosh x) (fma.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x) x #s(literal 1 binary64)))
(fma.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x) x #s(literal 1 binary64))
(.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x)
(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))
(fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64))
#s(literal 1/720 binary64)
(*.f64 x x)
x
#s(literal 1/24 binary64)
#s(literal 1/2 binary64)
(/.f64 #s(literal 1 binary64) #s(approx (cosh x) (fma.f64 #s(approx (+ (* 1/24 (* x x)) 1/2) (.f64 #s(literal 1/24 binary64) (.f64 x x))) (*.f64 x x) #s(literal 1 binary64))))
#s(literal 1 binary64)
#s(approx (cosh x) (fma.f64 #s(approx (+ (* 1/24 (* x x)) 1/2) (.f64 #s(literal 1/24 binary64) (.f64 x x))) (*.f64 x x) #s(literal 1 binary64)))
(fma.f64 #s(approx (+ (* 1/24 (* x x)) 1/2) (.f64 #s(literal 1/24 binary64) (.f64 x x))) (*.f64 x x) #s(literal 1 binary64))
#s(approx (+ (* 1/24 (* x x)) 1/2) (.f64 #s(literal 1/24 binary64) (.f64 x x)))
(.f64 #s(literal 1/24 binary64) (.f64 x x))
#s(literal 1/24 binary64)
(*.f64 x x)
x
(/.f64 #s(literal 1 binary64) #s(approx (cosh x) (fma.f64 (fma.f64 (.f64 #s(literal 1/24 binary64) x) x #s(literal 1/2 binary64)) (.f64 x x) #s(literal 1 binary64))))
#s(literal 1 binary64)
#s(approx (cosh x) (fma.f64 (fma.f64 (.f64 #s(literal 1/24 binary64) x) x #s(literal 1/2 binary64)) (.f64 x x) #s(literal 1 binary64)))
(fma.f64 (fma.f64 (.f64 #s(literal 1/24 binary64) x) x #s(literal 1/2 binary64)) (.f64 x x) #s(literal 1 binary64))
(fma.f64 (*.f64 #s(literal 1/24 binary64) x) x #s(literal 1/2 binary64))
(*.f64 #s(literal 1/24 binary64) x)
#s(literal 1/24 binary64)
x
#s(literal 1/2 binary64)
(*.f64 x x)
(/.f64 #s(literal 1 binary64) #s(approx (cosh x) (fma.f64 (fma.f64 (.f64 (fma.f64 #s(literal 1/720 binary64) (.f64 x x) #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))))
#s(literal 1 binary64)
#s(approx (cosh x) (fma.f64 (fma.f64 (.f64 (fma.f64 #s(literal 1/720 binary64) (.f64 x x) #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))
(fma.f64 (fma.f64 (.f64 (fma.f64 #s(literal 1/720 binary64) (.f64 x x) #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))
(fma.f64 (.f64 (fma.f64 #s(literal 1/720 binary64) (.f64 x x) #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64))
(.f64 (fma.f64 #s(literal 1/720 binary64) (.f64 x x) #s(literal 1/24 binary64)) x)
(fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64))
#s(literal 1/720 binary64)
(*.f64 x x)
x
#s(literal 1/24 binary64)
#s(literal 1/2 binary64)
(/.f64 (.f64 #s(literal 2 binary64) (sinh.f64 x)) (sinh.f64 (.f64 x #s(literal 2 binary64))))
(*.f64 #s(literal 2 binary64) (sinh.f64 x))
#s(literal 2 binary64)
(sinh.f64 x)
x
(sinh.f64 (*.f64 x #s(literal 2 binary64)))
(*.f64 x #s(literal 2 binary64))

Outputs
(/.f64 #s(literal 1 binary64) #s(approx (cosh x) (fma.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x) x #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) #s(approx (cosh x) (fma.f64 (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x) x #s(literal 1 binary64))))
#s(literal 1 binary64)
#s(approx (cosh x) (fma.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x) x #s(literal 1 binary64)))
#s(approx (cosh x) (fma.f64 (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x) x #s(literal 1 binary64)))
(fma.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x) x #s(literal 1 binary64))
(fma.f64 (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x) x #s(literal 1 binary64))
(.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x)
(.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x)
(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))
(fma.f64 (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (.f64 x x) #s(literal 1/2 binary64))
(fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64))
(fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))
#s(literal 1/720 binary64)
(*.f64 x x)
x
#s(literal 1/24 binary64)
#s(literal 1/2 binary64)
(/.f64 #s(literal 1 binary64) #s(approx (cosh x) (fma.f64 #s(approx (+ (* 1/24 (* x x)) 1/2) (.f64 #s(literal 1/24 binary64) (.f64 x x))) (*.f64 x x) #s(literal 1 binary64))))
#s(literal 1 binary64)
#s(approx (cosh x) (fma.f64 #s(approx (+ (* 1/24 (* x x)) 1/2) (.f64 #s(literal 1/24 binary64) (.f64 x x))) (*.f64 x x) #s(literal 1 binary64)))
(fma.f64 #s(approx (+ (* 1/24 (* x x)) 1/2) (.f64 #s(literal 1/24 binary64) (.f64 x x))) (*.f64 x x) #s(literal 1 binary64))
#s(approx (+ (* 1/24 (* x x)) 1/2) (.f64 #s(literal 1/24 binary64) (.f64 x x)))
(.f64 #s(literal 1/24 binary64) (.f64 x x))
#s(literal 1/24 binary64)
(*.f64 x x)
x
(/.f64 #s(literal 1 binary64) #s(approx (cosh x) (fma.f64 (fma.f64 (.f64 #s(literal 1/24 binary64) x) x #s(literal 1/2 binary64)) (.f64 x x) #s(literal 1 binary64))))
#s(literal 1 binary64)
#s(approx (cosh x) (fma.f64 (fma.f64 (.f64 #s(literal 1/24 binary64) x) x #s(literal 1/2 binary64)) (.f64 x x) #s(literal 1 binary64)))
(fma.f64 (fma.f64 (.f64 #s(literal 1/24 binary64) x) x #s(literal 1/2 binary64)) (.f64 x x) #s(literal 1 binary64))
(fma.f64 (*.f64 #s(literal 1/24 binary64) x) x #s(literal 1/2 binary64))
(*.f64 #s(literal 1/24 binary64) x)
#s(literal 1/24 binary64)
x
#s(literal 1/2 binary64)
(*.f64 x x)
(/.f64 #s(literal 1 binary64) #s(approx (cosh x) (fma.f64 (fma.f64 (.f64 (fma.f64 #s(literal 1/720 binary64) (.f64 x x) #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) #s(approx (cosh x) (fma.f64 (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x) x #s(literal 1 binary64))))
#s(literal 1 binary64)
#s(approx (cosh x) (fma.f64 (fma.f64 (.f64 (fma.f64 #s(literal 1/720 binary64) (.f64 x x) #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))
#s(approx (cosh x) (fma.f64 (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x) x #s(literal 1 binary64)))
(fma.f64 (fma.f64 (.f64 (fma.f64 #s(literal 1/720 binary64) (.f64 x x) #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))
(fma.f64 (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x) x #s(literal 1 binary64))
(fma.f64 (.f64 (fma.f64 #s(literal 1/720 binary64) (.f64 x x) #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64))
(fma.f64 (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (.f64 x x) #s(literal 1/2 binary64))
(.f64 (fma.f64 #s(literal 1/720 binary64) (.f64 x x) #s(literal 1/24 binary64)) x)
(.f64 (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) x)
(fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64))
(fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))
#s(literal 1/720 binary64)
(*.f64 x x)
x
#s(literal 1/24 binary64)
#s(literal 1/2 binary64)
(/.f64 (.f64 #s(literal 2 binary64) (sinh.f64 x)) (sinh.f64 (.f64 x #s(literal 2 binary64))))
(/.f64 (.f64 (sinh.f64 x) #s(literal 2 binary64)) (sinh.f64 (.f64 #s(literal 2 binary64) x)))
(*.f64 #s(literal 2 binary64) (sinh.f64 x))
(*.f64 (sinh.f64 x) #s(literal 2 binary64))
#s(literal 2 binary64)
(sinh.f64 x)
x
(sinh.f64 (*.f64 x #s(literal 2 binary64)))
(sinh.f64 (*.f64 #s(literal 2 binary64) x))
(*.f64 x #s(literal 2 binary64))
(*.f64 #s(literal 2 binary64) x)

localize247.0ms (4.3%)

Memory

-27.7MiB live, 239.0MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0	(*.f64 #s(literal 2 binary64) (sinh.f64 x))
accuracy	0.00390625	(sinh.f64 (*.f64 x #s(literal 2 binary64)))
accuracy	0.015625	(sinh.f64 x)
accuracy	0.9727887403343513	(/.f64 (.f64 #s(literal 2 binary64) (sinh.f64 x)) (sinh.f64 (.f64 x #s(literal 2 binary64))))
accuracy	0.01171875	(fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64))
accuracy	0.01953125	(/.f64 #s(literal 1 binary64) #s(approx (cosh x) (fma.f64 (fma.f64 (.f64 (fma.f64 #s(literal 1/720 binary64) (.f64 x x) #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))))
accuracy	0.17578125	(.f64 (fma.f64 #s(literal 1/720 binary64) (.f64 x x) #s(literal 1/24 binary64)) x)
accuracy	1.6359543517601989	#s(approx (cosh x) (fma.f64 (fma.f64 (.f64 (fma.f64 #s(literal 1/720 binary64) (.f64 x x) #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))
accuracy	0.00390625	(fma.f64 (fma.f64 (.f64 #s(literal 1/24 binary64) x) x #s(literal 1/2 binary64)) (.f64 x x) #s(literal 1 binary64))
accuracy	0.01953125	(/.f64 #s(literal 1 binary64) #s(approx (cosh x) (fma.f64 (fma.f64 (.f64 #s(literal 1/24 binary64) x) x #s(literal 1/2 binary64)) (.f64 x x) #s(literal 1 binary64))))
accuracy	0.16796875	(*.f64 #s(literal 1/24 binary64) x)
accuracy	1.7202219080923837	#s(approx (cosh x) (fma.f64 (fma.f64 (.f64 #s(literal 1/24 binary64) x) x #s(literal 1/2 binary64)) (.f64 x x) #s(literal 1 binary64)))
accuracy	0.01953125	(/.f64 #s(literal 1 binary64) #s(approx (cosh x) (fma.f64 #s(approx (+ (* 1/24 (* x x)) 1/2) (.f64 #s(literal 1/24 binary64) (.f64 x x))) (*.f64 x x) #s(literal 1 binary64))))
accuracy	0.09375	(.f64 #s(literal 1/24 binary64) (.f64 x x))
accuracy	1.7202219080923837	#s(approx (cosh x) (fma.f64 #s(approx (+ (* 1/24 (* x x)) 1/2) (.f64 #s(literal 1/24 binary64) (.f64 x x))) (*.f64 x x) #s(literal 1 binary64)))
accuracy	31.41445360757201	#s(approx (+ (* 1/24 (* x x)) 1/2) (.f64 #s(literal 1/24 binary64) (.f64 x x)))
accuracy	0.01171875	(fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64))
accuracy	0.01171875	(.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x)
accuracy	0.01953125	(/.f64 #s(literal 1 binary64) #s(approx (cosh x) (fma.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x) x #s(literal 1 binary64))))
accuracy	1.6359543517601989	#s(approx (cosh x) (fma.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x) x #s(literal 1 binary64)))

Samples

136.0ms	121×	2	exit
73.0ms	134×	0	valid
2.0ms	1×	5	exit

Compiler

Compiled 579 to 76 computations (86.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 179.0ms

const: 62.0ms (34.6% of total)

ival-add: 56.0ms (31.3% of total)

ival-mult: 35.0ms (19.6% of total)

adjust: 16.0ms (8.9% of total)

ival-div: 3.0ms (1.7% of total)

ival-cosh: 3.0ms (1.7% of total)

ival-sinh: 3.0ms (1.7% of total)

exact: 0.0ms (0% of total)

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

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

series15.0ms (0.3%)

Memory

-20.3MiB live, 30.9MiB allocated

Counts

24 → 54

Calls

Call 1

Inputs
(/.f64 #s(literal 1 binary64) #s(approx (cosh x) (fma.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x) x #s(literal 1 binary64))))
#s(approx (cosh x) (fma.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x) x #s(literal 1 binary64)))
(fma.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x) x #s(literal 1 binary64))
(.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x)
(/.f64 #s(literal 1 binary64) #s(approx (cosh x) (fma.f64 #s(approx (+ (* 1/24 (* x x)) 1/2) (.f64 #s(literal 1/24 binary64) (.f64 x x))) (*.f64 x x) #s(literal 1 binary64))))
#s(approx (cosh x) (fma.f64 #s(approx (+ (* 1/24 (* x x)) 1/2) (.f64 #s(literal 1/24 binary64) (.f64 x x))) (*.f64 x x) #s(literal 1 binary64)))
(fma.f64 #s(approx (+ (* 1/24 (* x x)) 1/2) (.f64 #s(literal 1/24 binary64) (.f64 x x))) (*.f64 x x) #s(literal 1 binary64))
#s(approx (+ (* 1/24 (* x x)) 1/2) (.f64 #s(literal 1/24 binary64) (.f64 x x)))
(/.f64 #s(literal 1 binary64) #s(approx (cosh x) (fma.f64 (fma.f64 (.f64 #s(literal 1/24 binary64) x) x #s(literal 1/2 binary64)) (.f64 x x) #s(literal 1 binary64))))
#s(approx (cosh x) (fma.f64 (fma.f64 (.f64 #s(literal 1/24 binary64) x) x #s(literal 1/2 binary64)) (.f64 x x) #s(literal 1 binary64)))
(fma.f64 (fma.f64 (.f64 #s(literal 1/24 binary64) x) x #s(literal 1/2 binary64)) (.f64 x x) #s(literal 1 binary64))
(fma.f64 (*.f64 #s(literal 1/24 binary64) x) x #s(literal 1/2 binary64))
(/.f64 #s(literal 1 binary64) #s(approx (cosh x) (fma.f64 (fma.f64 (.f64 (fma.f64 #s(literal 1/720 binary64) (.f64 x x) #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))))
#s(approx (cosh x) (fma.f64 (fma.f64 (.f64 (fma.f64 #s(literal 1/720 binary64) (.f64 x x) #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))
(fma.f64 (fma.f64 (.f64 (fma.f64 #s(literal 1/720 binary64) (.f64 x x) #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))
(fma.f64 (.f64 (fma.f64 #s(literal 1/720 binary64) (.f64 x x) #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64))
(/.f64 (.f64 #s(literal 2 binary64) (sinh.f64 x)) (sinh.f64 (.f64 x #s(literal 2 binary64))))
(*.f64 #s(literal 2 binary64) (sinh.f64 x))
(sinh.f64 x)
(sinh.f64 (*.f64 x #s(literal 2 binary64)))
(fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64))
(.f64 #s(literal 1/24 binary64) (.f64 x x))
(*.f64 #s(literal 1/24 binary64) x)
(.f64 (fma.f64 #s(literal 1/720 binary64) (.f64 x x) #s(literal 1/24 binary64)) x)

Outputs
1
(+ 1 (* -1/2 (pow x 2)))
(+ 1 (* (pow x 2) (- (* 5/24 (pow x 2)) 1/2)))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 5/24 (* -61/720 (pow x 2)))) 1/2)))
(+ 1 (* 1/2 (pow x 2)))
(+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2)))))
(+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))
(* 1/2 x)
(* x (+ 1/2 (* 1/24 (pow x 2))))
(* x (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2))))))
1/2
(+ 1/2 (* 1/24 (pow x 2)))
(+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))
(* 2 x)
(* x (+ 2 (* 1/3 (pow x 2))))
(* x (+ 2 (* (pow x 2) (+ 1/3 (* 1/60 (pow x 2))))))
(* x (+ 2 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/60 (* 1/2520 (pow x 2))))))))
x
(* x (+ 1 (* 1/6 (pow x 2))))
(* x (+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2))))))
(* x (+ 1 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2))))))))
(* x (+ 2 (* 4/3 (pow x 2))))
(* x (+ 2 (* (pow x 2) (+ 4/3 (* 4/15 (pow x 2))))))
(* x (+ 2 (* (pow x 2) (+ 4/3 (* (pow x 2) (+ 4/15 (* 8/315 (pow x 2))))))))
1/24
(+ 1/24 (* 1/720 (pow x 2)))
(* 1/24 (pow x 2))
(* 1/24 x)
(* x (+ 1/24 (* 1/720 (pow x 2))))
(/ 2 (+ (exp x) (/ 1 (exp x))))
(* 1/2 (+ (exp x) (/ 1 (exp x))))
(* 1/720 (pow x 6))
(* (pow x 6) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))
(* (pow x 6) (+ 1/720 (+ (/ 1/2 (pow x 4)) (* 1/24 (/ 1 (pow x 2))))))
(* (pow x 6) (+ 1/720 (+ (/ 1/2 (pow x 4)) (+ (* 1/24 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))
(* 1/720 (pow x 5))
(* (pow x 5) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))
(* (pow x 5) (+ 1/720 (+ (/ 1/2 (pow x 4)) (* 1/24 (/ 1 (pow x 2))))))
(* 1/24 (pow x 4))
(* (pow x 4) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 1/24 (+ (* 1/2 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))
(* (pow x 2) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))
(* 1/720 (pow x 4))
(* (pow x 4) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 1/720 (+ (/ 1/2 (pow x 4)) (* 1/24 (/ 1 (pow x 2))))))
(* 2 (/ (- (exp x) (/ 1 (exp x))) (- (exp (* 2 x)) (/ 1 (exp (* 2 x))))))
(- (exp x) (/ 1 (exp x)))
(* 1/2 (- (exp x) (/ 1 (exp x))))
(* 1/2 (- (exp (* 2 x)) (/ 1 (exp (* 2 x)))))
(* 1/720 (pow x 2))
(* (pow x 2) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))
(* 1/720 (pow x 3))
(* (pow x 3) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))
(* -1 (* (pow x 5) (- (* -1 (/ (+ 1/24 (* 1/2 (/ 1 (pow x 2)))) (pow x 2))) 1/720)))

Calls

3 calls:

Time

Variable

Point

Expression

8.0ms

inf

((/ 1 (cosh x)) (cosh x) (+ (* (* (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) x) x) 1) (* (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) x) (/ 1 (cosh x)) (cosh x) (+ (* (+ (* 1/24 (* x x)) 1/2) (* x x)) 1) (+ (* 1/24 (* x x)) 1/2) (/ 1 (cosh x)) (cosh x) (+ (* (+ (* (* 1/24 x) x) 1/2) (* x x)) 1) (+ (* (* 1/24 x) x) 1/2) (/ 1 (cosh x)) (cosh x) (+ (* (+ (* (* (+ (* 1/720 (* x x)) 1/24) x) x) 1/2) (* x x)) 1) (+ (* (* (+ (* 1/720 (* x x)) 1/24) x) x) 1/2) (/ (* 2 (sinh x)) (sinh (* x 2))) (* 2 (sinh x)) (sinh x) (sinh (* x 2)) (+ (* 1/720 (* x x)) 1/24) (* 1/24 (* x x)) (* 1/24 x) (* (+ (* 1/720 (* x x)) 1/24) x))

4.0ms

-inf

((/ 1 (cosh x)) (cosh x) (+ (* (* (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) x) x) 1) (* (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) x) (/ 1 (cosh x)) (cosh x) (+ (* (+ (* 1/24 (* x x)) 1/2) (* x x)) 1) (+ (* 1/24 (* x x)) 1/2) (/ 1 (cosh x)) (cosh x) (+ (* (+ (* (* 1/24 x) x) 1/2) (* x x)) 1) (+ (* (* 1/24 x) x) 1/2) (/ 1 (cosh x)) (cosh x) (+ (* (+ (* (* (+ (* 1/720 (* x x)) 1/24) x) x) 1/2) (* x x)) 1) (+ (* (* (+ (* 1/720 (* x x)) 1/24) x) x) 1/2) (/ (* 2 (sinh x)) (sinh (* x 2))) (* 2 (sinh x)) (sinh x) (sinh (* x 2)) (+ (* 1/720 (* x x)) 1/24) (* 1/24 (* x x)) (* 1/24 x) (* (+ (* 1/720 (* x x)) 1/24) x))

2.0ms

((/ 1 (cosh x)) (cosh x) (+ (* (* (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) x) x) 1) (* (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) x) (/ 1 (cosh x)) (cosh x) (+ (* (+ (* 1/24 (* x x)) 1/2) (* x x)) 1) (+ (* 1/24 (* x x)) 1/2) (/ 1 (cosh x)) (cosh x) (+ (* (+ (* (* 1/24 x) x) 1/2) (* x x)) 1) (+ (* (* 1/24 x) x) 1/2) (/ 1 (cosh x)) (cosh x) (+ (* (+ (* (* (+ (* 1/720 (* x x)) 1/24) x) x) 1/2) (* x x)) 1) (+ (* (* (+ (* 1/720 (* x x)) 1/24) x) x) 1/2) (/ (* 2 (sinh x)) (sinh (* x 2))) (* 2 (sinh x)) (sinh x) (sinh (* x 2)) (+ (* 1/720 (* x x)) 1/24) (* 1/24 (* x x)) (* 1/24 x) (* (+ (* 1/720 (* x x)) 1/24) x))

simplify156.0ms (2.7%)

Memory

39.9MiB live, 148.6MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	153	557
1	588	549
2	1999	541
3	6522	541
0	8202	498

Stop Event

1×	iter limit
1×	node limit

Counts

54 → 53

Calls

Call 1

Inputs
1
(+ 1 (* -1/2 (pow x 2)))
(+ 1 (* (pow x 2) (- (* 5/24 (pow x 2)) 1/2)))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 5/24 (* -61/720 (pow x 2)))) 1/2)))
(+ 1 (* 1/2 (pow x 2)))
(+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2)))))
(+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))
(* 1/2 x)
(* x (+ 1/2 (* 1/24 (pow x 2))))
(* x (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2))))))
1/2
(+ 1/2 (* 1/24 (pow x 2)))
(+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))
(* 2 x)
(* x (+ 2 (* 1/3 (pow x 2))))
(* x (+ 2 (* (pow x 2) (+ 1/3 (* 1/60 (pow x 2))))))
(* x (+ 2 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/60 (* 1/2520 (pow x 2))))))))
x
(* x (+ 1 (* 1/6 (pow x 2))))
(* x (+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2))))))
(* x (+ 1 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2))))))))
(* x (+ 2 (* 4/3 (pow x 2))))
(* x (+ 2 (* (pow x 2) (+ 4/3 (* 4/15 (pow x 2))))))
(* x (+ 2 (* (pow x 2) (+ 4/3 (* (pow x 2) (+ 4/15 (* 8/315 (pow x 2))))))))
1/24
(+ 1/24 (* 1/720 (pow x 2)))
(* 1/24 (pow x 2))
(* 1/24 x)
(* x (+ 1/24 (* 1/720 (pow x 2))))
(/ 2 (+ (exp x) (/ 1 (exp x))))
(* 1/2 (+ (exp x) (/ 1 (exp x))))
(* 1/720 (pow x 6))
(* (pow x 6) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))
(* (pow x 6) (+ 1/720 (+ (/ 1/2 (pow x 4)) (* 1/24 (/ 1 (pow x 2))))))
(* (pow x 6) (+ 1/720 (+ (/ 1/2 (pow x 4)) (+ (* 1/24 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))
(* 1/720 (pow x 5))
(* (pow x 5) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))
(* (pow x 5) (+ 1/720 (+ (/ 1/2 (pow x 4)) (* 1/24 (/ 1 (pow x 2))))))
(* 1/24 (pow x 4))
(* (pow x 4) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 1/24 (+ (* 1/2 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))
(* (pow x 2) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))
(* 1/720 (pow x 4))
(* (pow x 4) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 1/720 (+ (/ 1/2 (pow x 4)) (* 1/24 (/ 1 (pow x 2))))))
(* 2 (/ (- (exp x) (/ 1 (exp x))) (- (exp (* 2 x)) (/ 1 (exp (* 2 x))))))
(- (exp x) (/ 1 (exp x)))
(* 1/2 (- (exp x) (/ 1 (exp x))))
(* 1/2 (- (exp (* 2 x)) (/ 1 (exp (* 2 x)))))
(* 1/720 (pow x 2))
(* (pow x 2) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))
(* 1/720 (pow x 3))
(* (pow x 3) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))
(* -1 (* (pow x 5) (- (* -1 (/ (+ 1/24 (* 1/2 (/ 1 (pow x 2)))) (pow x 2))) 1/720)))

Outputs
1
#s(literal 1 binary64)
(+ 1 (* -1/2 (pow x 2)))
(fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (- (* 5/24 (pow x 2)) 1/2)))
(fma.f64 (fma.f64 #s(literal 5/24 binary64) (.f64 x x) #s(literal -1/2 binary64)) (.f64 x x) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 5/24 (* -61/720 (pow x 2)))) 1/2)))
(fma.f64 (fma.f64 (fma.f64 #s(literal -61/720 binary64) (.f64 x x) #s(literal 5/24 binary64)) (.f64 x x) #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))
(+ 1 (* 1/2 (pow x 2)))
(fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2)))))
(fma.f64 (fma.f64 (.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (.f64 x x) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))
(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))
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)
(* x (+ 1/2 (* 1/24 (pow x 2))))
(.f64 (fma.f64 (.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) x)
(* x (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2))))))
(.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x)
1/2
#s(literal 1/2 binary64)
(+ 1/2 (* 1/24 (pow x 2)))
(fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64))
(+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))
(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))
(* 2 x)
(*.f64 #s(literal 2 binary64) x)
(* x (+ 2 (* 1/3 (pow x 2))))
(.f64 (fma.f64 #s(literal 1/3 binary64) (.f64 x x) #s(literal 2 binary64)) x)
(* x (+ 2 (* (pow x 2) (+ 1/3 (* 1/60 (pow x 2))))))
(.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)
(* x (+ 2 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/60 (* 1/2520 (pow x 2))))))))
(.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)
x
(* x (+ 1 (* 1/6 (pow x 2))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/6 binary64) x)
(* x (+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2))))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal 1/6 binary64)) x)
(* x (+ 1 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2))))))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (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)) x)
(* x (+ 2 (* 4/3 (pow x 2))))
(.f64 (fma.f64 #s(literal 4/3 binary64) (.f64 x x) #s(literal 2 binary64)) x)
(* x (+ 2 (* (pow x 2) (+ 4/3 (* 4/15 (pow x 2))))))
(.f64 (fma.f64 (fma.f64 #s(literal 4/15 binary64) (.f64 x x) #s(literal 4/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x)
(* x (+ 2 (* (pow x 2) (+ 4/3 (* (pow x 2) (+ 4/15 (* 8/315 (pow x 2))))))))
(.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 8/315 binary64) (.f64 x x) #s(literal 4/15 binary64)) (.f64 x x) #s(literal 4/3 binary64)) (.f64 x x) #s(literal 2 binary64)) x)
1/24
#s(literal 1/24 binary64)
(+ 1/24 (* 1/720 (pow x 2)))
(fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64))
(* 1/24 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/24 binary64))
(* 1/24 x)
(*.f64 #s(literal 1/24 binary64) x)
(* x (+ 1/24 (* 1/720 (pow x 2))))
(.f64 (fma.f64 #s(literal 1/720 binary64) (.f64 x x) #s(literal 1/24 binary64)) x)
(/ 2 (+ (exp x) (/ 1 (exp x))))
(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)))
(* 1/2 (+ (exp x) (/ 1 (exp x))))
(fma.f64 (exp.f64 x) #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (exp.f64 x)))
(* 1/720 (pow x 6))
(*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/720 binary64))
(* (pow x 6) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))
(.f64 (+.f64 (/.f64 #s(literal 1/24 binary64) (.f64 x x)) #s(literal 1/720 binary64)) (pow.f64 x #s(literal 6 binary64)))
(* (pow x 6) (+ 1/720 (+ (/ 1/2 (pow x 4)) (* 1/24 (/ 1 (pow x 2))))))
(.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/720 binary64)) (/.f64 #s(literal -1/24 binary64) (.f64 x x))) (pow.f64 x #s(literal 6 binary64)))
(* (pow x 6) (+ 1/720 (+ (/ 1/2 (pow x 4)) (+ (* 1/24 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))
(fma.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/720 binary64)) (/.f64 #s(literal -1/24 binary64) (*.f64 x x))) (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64))
(* 1/720 (pow x 5))
(*.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 1/720 binary64))
(* (pow x 5) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))
(.f64 (pow.f64 x #s(literal 5 binary64)) (+.f64 (/.f64 #s(literal 1/24 binary64) (.f64 x x)) #s(literal 1/720 binary64)))
(* (pow x 5) (+ 1/720 (+ (/ 1/2 (pow x 4)) (* 1/24 (/ 1 (pow x 2))))))
(.f64 (pow.f64 x #s(literal 5 binary64)) (-.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/720 binary64)) (/.f64 #s(literal -1/24 binary64) (.f64 x x))))
(* 1/24 (pow x 4))
(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/24 binary64))
(* (pow x 4) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))
(.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 x x)) #s(literal 1/24 binary64)) (pow.f64 x #s(literal 4 binary64)))
(* (pow x 4) (+ 1/24 (+ (* 1/2 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))
(fma.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) #s(literal 1/24 binary64)) (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64))
(* (pow x 2) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))
(fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64))
(* 1/720 (pow x 4))
(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/720 binary64))
(* (pow x 4) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))
(.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 (/.f64 #s(literal 1/24 binary64) (.f64 x x)) #s(literal 1/720 binary64)))
(* (pow x 4) (+ 1/720 (+ (/ 1/2 (pow x 4)) (* 1/24 (/ 1 (pow x 2))))))
(.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/720 binary64)) (/.f64 #s(literal -1/24 binary64) (.f64 x x))) (pow.f64 x #s(literal 4 binary64)))
(* 2 (/ (- (exp x) (/ 1 (exp x))) (- (exp (* 2 x)) (/ 1 (exp (* 2 x))))))
(*.f64 (/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (-.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) (pow.f64 (exp.f64 x) #s(literal -2 binary64)))) #s(literal 2 binary64))
(- (exp x) (/ 1 (exp x)))
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
(* 1/2 (- (exp x) (/ 1 (exp x))))
(*.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 1/2 binary64))
(* 1/2 (- (exp (* 2 x)) (/ 1 (exp (* 2 x)))))
(*.f64 (-.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) (pow.f64 (exp.f64 x) #s(literal -2 binary64))) #s(literal 1/2 binary64))
(* 1/720 (pow x 2))
(.f64 #s(literal 1/720 binary64) (.f64 x x))
(* (pow x 2) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))
(fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64))
(* 1/720 (pow x 3))
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/720 binary64))
(* (pow x 3) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))
(.f64 (fma.f64 #s(literal 1/720 binary64) (.f64 x x) #s(literal 1/24 binary64)) x)
(* -1 (* (pow x 5) (- (* -1 (/ (+ 1/24 (* 1/2 (/ 1 (pow x 2)))) (pow x 2))) 1/720)))
(.f64 (pow.f64 x #s(literal 5 binary64)) (-.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/720 binary64)) (/.f64 #s(literal -1/24 binary64) (.f64 x x))))

rewrite243.0ms (4.2%)

Memory

-18.9MiB live, 185.9MiB allocated

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	37	299
0	67	295
1	268	295
2	1512	294
0	8438	294

Stop Event

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

Counts

24 → 761

Calls

Call 1

Inputs
(/.f64 #s(literal 1 binary64) #s(approx (cosh x) (fma.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x) x #s(literal 1 binary64))))
#s(approx (cosh x) (fma.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x) x #s(literal 1 binary64)))
(fma.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x) x #s(literal 1 binary64))
(.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x)
(/.f64 #s(literal 1 binary64) #s(approx (cosh x) (fma.f64 #s(approx (+ (* 1/24 (* x x)) 1/2) (.f64 #s(literal 1/24 binary64) (.f64 x x))) (*.f64 x x) #s(literal 1 binary64))))
#s(approx (cosh x) (fma.f64 #s(approx (+ (* 1/24 (* x x)) 1/2) (.f64 #s(literal 1/24 binary64) (.f64 x x))) (*.f64 x x) #s(literal 1 binary64)))
(fma.f64 #s(approx (+ (* 1/24 (* x x)) 1/2) (.f64 #s(literal 1/24 binary64) (.f64 x x))) (*.f64 x x) #s(literal 1 binary64))
#s(approx (+ (* 1/24 (* x x)) 1/2) (.f64 #s(literal 1/24 binary64) (.f64 x x)))
(/.f64 #s(literal 1 binary64) #s(approx (cosh x) (fma.f64 (fma.f64 (.f64 #s(literal 1/24 binary64) x) x #s(literal 1/2 binary64)) (.f64 x x) #s(literal 1 binary64))))
#s(approx (cosh x) (fma.f64 (fma.f64 (.f64 #s(literal 1/24 binary64) x) x #s(literal 1/2 binary64)) (.f64 x x) #s(literal 1 binary64)))
(fma.f64 (fma.f64 (.f64 #s(literal 1/24 binary64) x) x #s(literal 1/2 binary64)) (.f64 x x) #s(literal 1 binary64))
(fma.f64 (*.f64 #s(literal 1/24 binary64) x) x #s(literal 1/2 binary64))
(/.f64 #s(literal 1 binary64) #s(approx (cosh x) (fma.f64 (fma.f64 (.f64 (fma.f64 #s(literal 1/720 binary64) (.f64 x x) #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))))
#s(approx (cosh x) (fma.f64 (fma.f64 (.f64 (fma.f64 #s(literal 1/720 binary64) (.f64 x x) #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))
(fma.f64 (fma.f64 (.f64 (fma.f64 #s(literal 1/720 binary64) (.f64 x x) #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))
(fma.f64 (.f64 (fma.f64 #s(literal 1/720 binary64) (.f64 x x) #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64))
(/.f64 (.f64 #s(literal 2 binary64) (sinh.f64 x)) (sinh.f64 (.f64 x #s(literal 2 binary64))))
(*.f64 #s(literal 2 binary64) (sinh.f64 x))
(sinh.f64 x)
(sinh.f64 (*.f64 x #s(literal 2 binary64)))
(fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64))
(.f64 #s(literal 1/24 binary64) (.f64 x x))
(*.f64 #s(literal 1/24 binary64) x)
(.f64 (fma.f64 #s(literal 1/720 binary64) (.f64 x x) #s(literal 1/24 binary64)) x)

Outputs
(.f64 (neg.f64 (pow.f64 #s(approx (cosh x) (fma.f64 (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (.f64 x x) #s(literal 1/2 binary64)) x) x #s(literal 1 binary64))) #s(literal -1/2 binary64))) (neg.f64 (pow.f64 #s(approx (cosh x) (fma.f64 (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x) x #s(literal 1 binary64))) #s(literal -1/2 binary64))))
(.f64 (fabs.f64 (pow.f64 #s(approx (cosh x) (fma.f64 (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (.f64 x x) #s(literal 1/2 binary64)) x) x #s(literal 1 binary64))) #s(literal -1/2 binary64))) (fabs.f64 (pow.f64 #s(approx (cosh x) (fma.f64 (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x) x #s(literal 1 binary64))) #s(literal -1/2 binary64))))
(.f64 (pow.f64 #s(approx (cosh x) (fma.f64 (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (.f64 x x) #s(literal 1/2 binary64)) x) x #s(literal 1 binary64))) #s(literal -1/2 binary64)) (pow.f64 #s(approx (cosh x) (fma.f64 (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x) x #s(literal 1 binary64))) #s(literal -1/2 binary64)))
(.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) #s(approx (cosh x) (fma.f64 (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (.f64 x x) #s(literal 1/2 binary64)) x) x #s(literal 1 binary64)))))
(.f64 (pow.f64 #s(approx (cosh x) (fma.f64 (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (.f64 x x) #s(literal 1/2 binary64)) x) x #s(literal 1 binary64))) #s(literal -1 binary64)) #s(literal 1 binary64))
(.f64 #s(literal 1 binary64) (pow.f64 #s(approx (cosh x) (fma.f64 (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (.f64 x x) #s(literal 1/2 binary64)) x) x #s(literal 1 binary64))) #s(literal -1 binary64)))
(pow.f64 (exp.f64 (log.f64 #s(approx (cosh x) (fma.f64 (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x) x #s(literal 1 binary64))))) #s(literal -1 binary64))
(pow.f64 (.f64 #s(approx (cosh x) (fma.f64 (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (.f64 x x) #s(literal 1/2 binary64)) x) x #s(literal 1 binary64))) #s(approx (cosh x) (fma.f64 (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x) x #s(literal 1 binary64)))) #s(literal -1/2 binary64))
(pow.f64 (pow.f64 #s(approx (cosh x) (fma.f64 (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x) x #s(literal 1 binary64))) #s(literal -1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (neg.f64 (neg.f64 #s(approx (cosh x) (fma.f64 (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x) x #s(literal 1 binary64))))) #s(literal -1 binary64))
(pow.f64 #s(approx (cosh x) (fma.f64 (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x) x #s(literal 1 binary64))) #s(literal -1 binary64))
(/.f64 #s(literal -1 binary64) (neg.f64 (neg.f64 (neg.f64 #s(approx (cosh x) (fma.f64 (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x) x #s(literal 1 binary64)))))))
(/.f64 #s(literal -1 binary64) (neg.f64 #s(approx (cosh x) (fma.f64 (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x) x #s(literal 1 binary64)))))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 #s(approx (cosh x) (fma.f64 (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x) x #s(literal 1 binary64))))))
(/.f64 #s(literal 1 binary64) #s(approx (cosh x) (fma.f64 (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x) x #s(literal 1 binary64))))
(neg.f64 (/.f64 #s(literal -1 binary64) #s(approx (cosh x) (fma.f64 (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x) x #s(literal 1 binary64)))))
(fabs.f64 (pow.f64 #s(approx (cosh x) (fma.f64 (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x) x #s(literal 1 binary64))) #s(literal -1 binary64)))
(exp.f64 (.f64 (log.f64 #s(approx (cosh x) (fma.f64 (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (.f64 x x) #s(literal 1/2 binary64)) x) x #s(literal 1 binary64)))) #s(literal -1 binary64)))
(+.f64 (cosh.f64 (.f64 (log.f64 #s(approx (cosh x) (fma.f64 (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (.f64 x x) #s(literal 1/2 binary64)) x) x #s(literal 1 binary64)))) #s(literal -1 binary64))) (sinh.f64 (.f64 (log.f64 #s(approx (cosh x) (fma.f64 (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (.f64 x x) #s(literal 1/2 binary64)) x) x #s(literal 1 binary64)))) #s(literal -1 binary64))))
(.f64 #s(approx (cosh x) (fma.f64 (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (.f64 x x) #s(literal 1/2 binary64)) x) x #s(literal 1 binary64))) #s(literal 1 binary64))
(pow.f64 (pow.f64 #s(approx (cosh x) (fma.f64 (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x) x #s(literal 1 binary64))) #s(literal -1 binary64)) #s(literal -1 binary64))
(pow.f64 #s(approx (cosh x) (fma.f64 (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x) x #s(literal 1 binary64))) #s(literal 1 binary64))
#s(approx (cosh x) (fma.f64 (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x) x #s(literal 1 binary64)))
(/.f64 (neg.f64 (neg.f64 #s(approx (cosh x) (fma.f64 (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x) x #s(literal 1 binary64))))) #s(literal 1 binary64))
(/.f64 (neg.f64 #s(approx (cosh x) (fma.f64 (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x) x #s(literal 1 binary64)))) #s(literal -1 binary64))
(/.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 #s(approx (cosh x) (fma.f64 (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x) x #s(literal 1 binary64))) #s(literal -1 binary64))))
(/.f64 #s(approx (cosh x) (fma.f64 (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x) x #s(literal 1 binary64))) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (pow.f64 #s(approx (cosh x) (fma.f64 (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x) x #s(literal 1 binary64))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 #s(approx (cosh x) (fma.f64 (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x) x #s(literal 1 binary64))) #s(literal -1 binary64)))
(exp.f64 (neg.f64 (.f64 (log.f64 #s(approx (cosh x) (fma.f64 (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (.f64 x x) #s(literal 1/2 binary64)) x) x #s(literal 1 binary64)))) #s(literal -1 binary64))))
(.f64 (fma.f64 (pow.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (.f64 x x) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)) #s(literal -1 binary64)) (pow.f64 (fma.f64 (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (.f64 x x) #s(literal 1/2 binary64)) x) x #s(literal -1 binary64)) #s(literal -1 binary64)))
(.f64 (fma.f64 (pow.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (.f64 x x) #s(literal 1/2 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64)) (pow.f64 (fma.f64 (pow.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (.f64 x x) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x) x))) #s(literal -1 binary64)))
(pow.f64 (/.f64 (fma.f64 (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (.f64 x x) #s(literal 1/2 binary64)) x) x #s(literal -1 binary64)) (fma.f64 (pow.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)) #s(literal -1 binary64))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 (pow.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (.f64 x x) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (.f64 x x) #s(literal 1/2 binary64)) x) x))) (fma.f64 (pow.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (.f64 x x) #s(literal 1/2 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64))) #s(literal -1 binary64))
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (.f64 (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (.f64 x x) #s(literal 1/2 binary64)) x) x) #s(literal 2 binary64)) (fma.f64 (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (.f64 x x) #s(literal 1/2 binary64)) x) x #s(literal -1 binary64))) #s(literal 3 binary64)) (pow.f64 (pow.f64 (fma.f64 (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (.f64 x x) #s(literal 1/2 binary64)) x) x #s(literal -1 binary64)) #s(literal -1 binary64)) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (.f64 (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (.f64 x x) #s(literal 1/2 binary64)) x) x) #s(literal 2 binary64)) (fma.f64 (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (.f64 x x) #s(literal 1/2 binary64)) x) x #s(literal -1 binary64))) (/.f64 (pow.f64 (.f64 (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (.f64 x x) #s(literal 1/2 binary64)) x) x) #s(literal 2 binary64)) (fma.f64 (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (.f64 x x) #s(literal 1/2 binary64)) x) x #s(literal -1 binary64))) (fma.f64 (pow.f64 (fma.f64 (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (.f64 x x) #s(literal 1/2 binary64)) x) x #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 (fma.f64 (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (.f64 x x) #s(literal 1/2 binary64)) x) x #s(literal -1 binary64)) #s(literal -1 binary64)) (.f64 (/.f64 (pow.f64 (.f64 (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (.f64 x x) #s(literal 1/2 binary64)) x) x) #s(literal 2 binary64)) (fma.f64 (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (.f64 x x) #s(literal 1/2 binary64)) x) x #s(literal -1 binary64))) (pow.f64 (fma.f64 (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x) x #s(literal -1 binary64)) #s(literal -1 binary64))))))
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(*.f64 x #s(literal 1/24 binary64))
(.f64 (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) x)
(.f64 x (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)))
(/.f64 (+.f64 (pow.f64 (.f64 (.f64 (.f64 x x) #s(literal 1/720 binary64)) x) #s(literal 3 binary64)) (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/13824 binary64))) (fma.f64 (.f64 (.f64 (.f64 x x) #s(literal 1/720 binary64)) x) (.f64 (.f64 (.f64 x x) #s(literal 1/720 binary64)) x) (-.f64 (pow.f64 (.f64 #s(literal 1/24 binary64) x) #s(literal 2 binary64)) (.f64 (.f64 (.f64 (.f64 x x) #s(literal 1/720 binary64)) x) (.f64 #s(literal 1/24 binary64) x)))))
(/.f64 (+.f64 (pow.f64 (.f64 x (.f64 (.f64 x x) #s(literal 1/720 binary64))) #s(literal 3 binary64)) (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/13824 binary64))) (fma.f64 (.f64 x (.f64 (.f64 x x) #s(literal 1/720 binary64))) (.f64 x (.f64 (.f64 x x) #s(literal 1/720 binary64))) (-.f64 (pow.f64 (.f64 #s(literal 1/24 binary64) x) #s(literal 2 binary64)) (.f64 (.f64 x (.f64 (.f64 x x) #s(literal 1/720 binary64))) (.f64 #s(literal 1/24 binary64) x)))))
(/.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/13824 binary64) (pow.f64 (.f64 (.f64 (.f64 x x) #s(literal 1/720 binary64)) x) #s(literal 3 binary64))) (+.f64 (pow.f64 (.f64 #s(literal 1/24 binary64) x) #s(literal 2 binary64)) (-.f64 (.f64 (.f64 (.f64 (.f64 x x) #s(literal 1/720 binary64)) x) (.f64 (.f64 (.f64 x x) #s(literal 1/720 binary64)) x)) (.f64 (.f64 #s(literal 1/24 binary64) x) (.f64 (.f64 (.f64 x x) #s(literal 1/720 binary64)) x)))))
(/.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/13824 binary64) (pow.f64 (.f64 x (.f64 (.f64 x x) #s(literal 1/720 binary64))) #s(literal 3 binary64))) (+.f64 (pow.f64 (.f64 #s(literal 1/24 binary64) x) #s(literal 2 binary64)) (-.f64 (.f64 (.f64 x (.f64 (.f64 x x) #s(literal 1/720 binary64))) (.f64 x (.f64 (.f64 x x) #s(literal 1/720 binary64)))) (.f64 (.f64 #s(literal 1/24 binary64) x) (.f64 x (.f64 (.f64 x x) #s(literal 1/720 binary64)))))))
(/.f64 (neg.f64 (.f64 (fma.f64 #s(literal 1/518400 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/576 binary64)) x)) (neg.f64 (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64))))
(/.f64 (neg.f64 (.f64 (fma.f64 #s(literal 1/373248000 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 1/13824 binary64)) x)) (neg.f64 (fma.f64 #s(literal 1/518400 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/576 binary64) (.f64 (*.f64 x x) #s(literal 1/17280 binary64))))))
(/.f64 (neg.f64 (.f64 x (fma.f64 #s(literal 1/518400 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/576 binary64)))) (neg.f64 (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64))))
(/.f64 (neg.f64 (.f64 x (fma.f64 #s(literal 1/373248000 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 1/13824 binary64)))) (neg.f64 (fma.f64 #s(literal 1/518400 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/576 binary64) (.f64 (*.f64 x x) #s(literal 1/17280 binary64))))))
(/.f64 (.f64 (fma.f64 #s(literal 1/518400 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/576 binary64)) x) (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64)))
(/.f64 (.f64 (fma.f64 #s(literal 1/373248000 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 1/13824 binary64)) x) (fma.f64 #s(literal 1/518400 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/576 binary64) (.f64 (*.f64 x x) #s(literal 1/17280 binary64)))))
(/.f64 (.f64 x (fma.f64 #s(literal 1/518400 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/576 binary64))) (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64)))
(/.f64 (.f64 x (fma.f64 #s(literal 1/373248000 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 1/13824 binary64))) (fma.f64 #s(literal 1/518400 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/576 binary64) (.f64 (*.f64 x x) #s(literal 1/17280 binary64)))))
(fma.f64 (.f64 (.f64 x x) #s(literal 1/720 binary64)) x (*.f64 #s(literal 1/24 binary64) x))
(fma.f64 #s(literal 1/24 binary64) x (.f64 (.f64 (*.f64 x x) #s(literal 1/720 binary64)) x))
(fma.f64 #s(literal 1/24 binary64) x (.f64 x (.f64 (*.f64 x x) #s(literal 1/720 binary64))))
(fma.f64 x (.f64 (.f64 x x) #s(literal 1/720 binary64)) (*.f64 #s(literal 1/24 binary64) x))
(fma.f64 x #s(literal 1/24 binary64) (.f64 (.f64 (*.f64 x x) #s(literal 1/720 binary64)) x))
(fma.f64 x #s(literal 1/24 binary64) (.f64 x (.f64 (*.f64 x x) #s(literal 1/720 binary64))))
(+.f64 (.f64 (.f64 (.f64 x x) #s(literal 1/720 binary64)) x) (.f64 #s(literal 1/24 binary64) x))
(+.f64 (.f64 x (.f64 (.f64 x x) #s(literal 1/720 binary64))) (.f64 #s(literal 1/24 binary64) x))
(+.f64 (.f64 #s(literal 1/24 binary64) x) (.f64 (.f64 (.f64 x x) #s(literal 1/720 binary64)) x))
(+.f64 (.f64 #s(literal 1/24 binary64) x) (.f64 x (.f64 (.f64 x x) #s(literal 1/720 binary64))))

eval154.0ms (2.7%)

Memory: -17.7MiB live, 138.6MiB allocated
Compiler: Compiled 27 628 to 3 500 computations (87.3% saved)

prune27.0ms (0.5%)

Memory

16.0MiB live, 55.2MiB allocated

Pruning

18 alts after pruning (9 fresh and 9 done)

	Pruned	Kept	Total
New	772	7	779
Fresh	1	2	3
Picked	3	2	5
Done	0	7	7
Total	776	18	794

Accuracy

100.0%

Counts

794 → 18

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	50.8%	(/.f64 (.f64 #s(literal 2 binary64) (sinh.f64 x)) (sinh.f64 (.f64 x #s(literal 2 binary64))))
✓	77.1%	(/.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))
✓	91.5%	(/.f64 #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))))
	91.5%	(/.f64 #s(literal 1 binary64) #s(approx (cosh x) (fma.f64 (fma.f64 (-.f64 #s(literal 1/24 binary64) (.f64 #s(literal -1/720 binary64) (.f64 x x))) (.f64 x x) #s(literal 1/2 binary64)) (.f64 x x) #s(literal 1 binary64))))
	91.5%	(/.f64 #s(literal 1 binary64) #s(approx (cosh x) (fma.f64 (fma.f64 (.f64 (fma.f64 (.f64 #s(literal 1/720 binary64) x) x #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))))
	91.2%	(/.f64 #s(literal 1 binary64) #s(approx (cosh x) (fma.f64 (fma.f64 (.f64 #s(approx (+ ( 1/720 (* x x)) 1/24) (.f64 #s(literal 1/720 binary64) (.f64 x x))) x) x #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))))
	91.2%	(/.f64 #s(literal 1 binary64) #s(approx (cosh x) (fma.f64 (fma.f64 #s(approx (+ (* 1/720 (* x x)) 1/24) (.f64 #s(literal 1/720 binary64) (.f64 x x))) (.f64 x x) #s(literal 1/2 binary64)) (.f64 x x) #s(literal 1 binary64))))
	91.5%	(/.f64 #s(literal 1 binary64) #s(approx (cosh x) (fma.f64 (fma.f64 x #s(literal 1/2 binary64) (.f64 x (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) x) x))) x #s(literal 1 binary64))))
	86.2%	(/.f64 #s(literal 1 binary64) #s(approx (cosh x) (fma.f64 (.f64 (fma.f64 (.f64 #s(literal 1/24 binary64) x) x #s(literal 1/2 binary64)) x) x #s(literal 1 binary64))))
	91.2%	(/.f64 #s(literal 1 binary64) #s(approx (cosh x) (fma.f64 (.f64 (fma.f64 #s(approx (+ ( 1/720 (* x x)) 1/24) (.f64 #s(literal 1/720 binary64) (.f64 x x))) (*.f64 x x) #s(literal 1/2 binary64)) x) x #s(literal 1 binary64))))
	85.7%	(/.f64 #s(literal 1 binary64) #s(approx (cosh x) (fma.f64 (.f64 #s(approx (+ ( 1/24 (* x x)) 1/2) (.f64 #s(literal 1/24 binary64) (.f64 x x))) x) x #s(literal 1 binary64))))
	85.7%	(/.f64 #s(literal 1 binary64) #s(approx (cosh x) (fma.f64 #s(approx (+ (* 1/24 (* x x)) 1/2) (.f64 (.f64 #s(literal 1/24 binary64) x) x)) (*.f64 x x) #s(literal 1 binary64))))
✓	85.7%	(/.f64 #s(literal 1 binary64) #s(approx (cosh x) (fma.f64 #s(approx (+ (* 1/24 (* x x)) 1/2) (.f64 #s(literal 1/24 binary64) (.f64 x x))) (*.f64 x x) #s(literal 1 binary64))))
✓	50.3%	#s(approx (/ 2 (+ (exp x) (exp (neg x)))) (fma.f64 (fma.f64 (fma.f64 #s(literal -61/720 binary64) (.f64 x x) #s(literal 5/24 binary64)) (.f64 x x) #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))
✓	50.3%	#s(approx (/ 2 (+ (exp x) (exp (neg x)))) (fma.f64 (fma.f64 #s(literal 5/24 binary64) (.f64 x x) #s(literal -1/2 binary64)) (.f64 x x) #s(literal 1 binary64)))
✓	50.2%	#s(approx (/ 2 (+ (exp x) (exp (neg x)))) (fma.f64 (*.f64 #s(literal -1/2 binary64) x) x #s(literal 1 binary64)))
✓	50.6%	#s(approx (/ 2 (+ (exp x) (exp (neg x)))) #s(literal 1 binary64))

Compiler

Compiled 811 to 373 computations (54% saved)

regimes22.0ms (0.4%)

Memory

-9.6MiB live, 28.2MiB allocated

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

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

Calls

3 calls:

9.0ms	x
6.0ms	(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
6.0ms	(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))

Results

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

Compiler

Compiled 15 to 13 computations (13.3% saved)

regimes17.0ms (0.3%)

Memory

21.4MiB live, 21.4MiB allocated

Counts

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

Outputs

(/.f64 #s(literal 1 binary64) #s(approx (cosh x) (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x) x #s(literal 1 binary64))))

Calls

3 calls:

6.0ms	x
5.0ms	(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
5.0ms	(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))

Results

Accuracy	Segments	Branch
91.5%	1	`x`
91.5%	1	`(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))`
91.5%	1	`(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))`

Compiler

Compiled 15 to 13 computations (13.3% saved)

regimes15.0ms (0.3%)

Memory

-25.9MiB live, 13.0MiB allocated

Counts

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

Outputs

(/.f64 #s(literal 1 binary64) #s(approx (cosh x) (fma.f64 (*.f64 (fma.f64 #s(approx (+ (* 1/720 (* x x)) 1/24) (*.f64 #s(literal 1/720 binary64) (*.f64 x x))) (*.f64 x x) #s(literal 1/2 binary64)) x) x #s(literal 1 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
91.2%	1	`x`
91.2%	1	`(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))`
91.2%	1	`(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))`

Compiler

Compiled 15 to 13 computations (13.3% saved)

regimes11.0ms (0.2%)

Memory

13.1MiB live, 13.1MiB allocated

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

Outputs
(/.f64 #s(literal 1 binary64) #s(approx (cosh x) (fma.f64 (.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 x x) #s(literal 1/2 binary64)) x) x #s(literal 1 binary64))))

Calls

3 calls:

4.0ms	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
86.2%	1	`(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))`
86.2%	1	`x`
86.2%	1	`(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))`

Compiler

Compiled 15 to 13 computations (13.3% saved)

regimes8.0ms (0.1%)

Memory

8.0MiB live, 8.0MiB allocated

Counts

8 → 1

Calls

Call 1

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

Outputs
(/.f64 #s(literal 1 binary64) #s(approx (cosh x) (fma.f64 #s(approx (+ (* 1/24 (* x x)) 1/2) (.f64 #s(literal 1/24 binary64) (.f64 x x))) (*.f64 x x) #s(literal 1 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
85.7%	1	`(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))`
85.7%	1	`x`
85.7%	1	`(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))`

Compiler

Compiled 15 to 13 computations (13.3% saved)

regimes6.0ms (0.1%)

Memory

6.2MiB live, 6.2MiB allocated

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 #s(literal -1/2 binary64) x) x #s(literal 1 binary64)))
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 x x #s(literal 2 binary64))))
#s(approx (/ 2 (+ (exp x) (exp (neg x)))) (fma.f64 (fma.f64 #s(literal 5/24 binary64) (.f64 x x) #s(literal -1/2 binary64)) (.f64 x x) #s(literal 1 binary64)))

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
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
77.1%	1	`x`
77.1%	1	`(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))`
77.1%	1	`(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))`

Compiler

Compiled 15 to 13 computations (13.3% saved)

regimes4.0ms (0.1%)

Memory

5.1MiB live, 5.1MiB allocated

Accuracy

Total -0.4b remaining (-1.4%)

Threshold costs -0.4b (-1.4%)

Counts

2 → 1

Calls

Call 1

Inputs
#s(approx (/ 2 (+ (exp x) (exp (neg x)))) #s(literal 1 binary64))
#s(approx (/ 2 (+ (exp x) (exp (neg x)))) (fma.f64 (*.f64 #s(literal -1/2 binary64) x) x #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
50.6%	1	`x`
50.6%	1	`(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))`
50.6%	1	`(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))`

Compiler

Compiled 15 to 13 computations (13.3% saved)

simplify49.0ms (0.9%)

Memory

-3.7MiB live, 42.7MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	47	115
1	55	115

Stop Event

1×

saturated

Calls

Call 1

Inputs
(/.f64 #s(literal 1 binary64) (cosh.f64 x))
(/.f64 #s(literal 1 binary64) #s(approx (cosh x) (fma.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x) x #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) #s(approx (cosh x) (fma.f64 (.f64 (fma.f64 #s(approx (+ ( 1/720 (* x x)) 1/24) (.f64 #s(literal 1/720 binary64) (.f64 x x))) (*.f64 x x) #s(literal 1/2 binary64)) x) x #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) #s(approx (cosh x) (fma.f64 (.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 x x) #s(literal 1/2 binary64)) x) x #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) #s(approx (cosh x) (fma.f64 #s(approx (+ (* 1/24 (* x x)) 1/2) (.f64 #s(literal 1/24 binary64) (.f64 x x))) (*.f64 x x) #s(literal 1 binary64))))
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 x x #s(literal 2 binary64))))
#s(approx (/ 2 (+ (exp x) (exp (neg x)))) #s(literal 1 binary64))

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

soundness1.0s (17.5%)

Memory

14.7MiB live, 593.6MiB allocated

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	153	557
1	588	549
2	1999	541
3	6522	541
0	8202	498
0	34	203
0	58	199
1	266	191
2	2078	191
0	8480	191
0	7	19
0	12	15
1	49	13
2	362	13
3	5579	13
0	8359	13
0	66	165
1	218	164
2	712	160
3	2902	160
4	6610	160
0	8020	138
0	153	608
1	546	605
2	1853	583
3	6171	583
0	8072	541
0	79	237
1	251	237
2	823	233
3	3619	229
0	8184	206

Stop Event

1×	fuel
1×	iter limit
1×	node limit
1×	iter limit
1×	node limit
1×	iter limit
1×	node limit
1×	iter limit
1×	node limit
1×	iter limit
1×	iter limit
1×	node limit
1×	iter limit
1×	iter limit
1×	node limit

Compiler

Compiled 302 to 179 computations (40.7% saved)

preprocess74.0ms (1.3%)

Memory: -10.9MiB live, 75.0MiB allocated
Remove: (abs x)
Compiler: Compiled 262 to 132 computations (49.6% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze0.0ms (0%)

sample750.0ms (13%)

explain111.0ms (1.9%)

preprocess200.0ms (3.5%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify119.0ms (2.1%)

localize61.0ms (1.1%)

series3.0ms (0%)

simplify193.0ms (3.4%)

rewrite265.0ms (4.6%)

eval142.0ms (2.5%)

prune22.0ms (0.4%)

simplify100.0ms (1.7%)

localize82.0ms (1.4%)

series8.0ms (0.1%)

simplify144.0ms (2.5%)

rewrite68.0ms (1.2%)

eval30.0ms (0.5%)

prune9.0ms (0.2%)

simplify130.0ms (2.3%)

localize205.0ms (3.6%)

series27.0ms (0.5%)

simplify334.0ms (5.8%)

rewrite281.0ms (4.9%)

eval209.0ms (3.6%)

prune31.0ms (0.5%)

simplify180.0ms (3.1%)

localize247.0ms (4.3%)

series15.0ms (0.3%)

simplify156.0ms (2.7%)

rewrite243.0ms (4.2%)

eval154.0ms (2.7%)

prune27.0ms (0.5%)

regimes22.0ms (0.4%)

regimes17.0ms (0.3%)

regimes15.0ms (0.3%)

regimes11.0ms (0.2%)

regimes8.0ms (0.1%)

regimes6.0ms (0.1%)

regimes4.0ms (0.1%)

simplify49.0ms (0.9%)

soundness1.0s (17.5%)

preprocess74.0ms (1.3%)

end0.0ms (0%)

Profiling