Metrics for Hyperbolic secant

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze0.0ms (0%)

Memory

0.3MiB live, 0.3MiB 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)

sample811.0ms (15.4%)

Memory

36.3MiB live, 739.7MiB allocated

Samples

550.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 317.0ms

ival-exp: 123.0ms (38.7% of total)

ival-add: 70.0ms (22% of total)

ival-div: 55.0ms (17.3% of total)

ival-neg: 55.0ms (17.3% of total)

ival-true: 6.0ms (1.9% of total)

exact: 5.0ms (1.6% of total)

ival-assert: 4.0ms (1.3% of total)

Bogosity

explain144.0ms (2.7%)

Memory

-10.1MiB live, 100.8MiB 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	(239.69946585643217)	-	`(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

55.0ms

512×

valid

Compiler

Compiled 58 to 25 computations (56.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 17.0ms

ival-exp: 7.0ms (41.8% of total)

ival-div: 3.0ms (17.9% of total)

ival-add: 2.0ms (11.9% of total)

ival-neg: 2.0ms (11.9% of total)

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

exact: 0.0ms (0% of total)

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

preprocess147.0ms (2.8%)

Memory

15.6MiB live, 103.8MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	9	16
1	33	16
2	65	16
3	202	16
4	1658	12
0	7	8
0	12	8
1	23	8
2	48	8
3	166	8
4	889	6
5	4950	4
6	7575	4
0	8084	4

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 1 binary64) (cosh.f64 x))

Symmetry

(abs x)

Compiler

Compiled 8 to 7 computations (12.5% saved)

eval0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated
Compiler: Compiled 0 to 1 computations (-∞% saved)

prune0.0ms (0%)

Memory

0.6MiB live, 0.6MiB 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)

simplify212.0ms (4%)

Memory

-9.6MiB live, 124.2MiB 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	2	(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
cost-diff	2	(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	7	23
0	12	23
1	23	23
2	48	23
3	166	23
4	889	19
5	4950	17
6	7575	17
0	8084	17

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 1 binary64) (cosh.f64 x))
#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)

localize31.0ms (0.6%)

Memory

-1.6MiB live, 36.3MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.0	(exp.f64 (neg.f64 x))
accuracy	0.0	(exp.f64 x)
accuracy	0.00390625	(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
accuracy	0.01171875	(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))

Samples

25.0ms

256×

valid

Compiler

Compiled 25 to 9 computations (64% saved)

Precisions

Click to see histograms. Total time spent on operations: 19.0ms

ival-add: 12.0ms (62.5% of total)

ival-exp: 4.0ms (20.8% of total)

ival-div: 2.0ms (10.4% of total)

ival-neg: 1.0ms (5.2% of total)

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

exact: 0.0ms (0% of total)

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

series2.0ms (0%)

Memory

6.8MiB live, 6.8MiB allocated

Counts

4 → 21

Calls

Call 1

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

Calls

3 calls:

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

Time

Variable

Point

Expression

1.0ms

-inf

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

1.0ms

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

1.0ms

inf

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

simplify134.0ms (2.6%)

Memory

-14.6MiB live, 103.2MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	66	165
1	213	164
2	639	160
3	2334	160
4	5806	160
0	8044	142

Stop Event

1×	iter limit
1×	node limit

Counts

21 → 21

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

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

rewrite109.0ms (2.1%)

Memory

10.5MiB live, 49.0MiB allocated

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	7	19
0	12	15
1	41	13
2	278	13
0	3360	13

Stop Event

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

Counts

4 → 238

Calls

Call 1

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

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

eval53.0ms (1%)

Memory: -17.7MiB live, 20.7MiB allocated
Compiler: Compiled 5 938 to 931 computations (84.3% saved)

prune7.0ms (0.1%)

Memory

11.4MiB live, 11.4MiB allocated

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	249	7	256
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	250	7	257

Accuracy

100.0%

Counts

257 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	73.3%	(/.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))
	47.5%	(.f64 (/.f64 #s(literal 2 binary64) (.f64 (.f64 #s(literal -2 binary64) (cosh.f64 x)) (.f64 (sinh.f64 x) #s(literal 2 binary64)))) (*.f64 #s(literal -2 binary64) (sinh.f64 x)))
	47.4%	#s(approx (/ 2 (+ (exp x) (exp (neg x)))) (fma.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -61/720 binary64) (-.f64 (.f64 #s(literal 5/24 binary64) (.f64 x x)) #s(literal 1/2 binary64))) (*.f64 x x) #s(literal 1 binary64)))
▶	47.8%	#s(approx (/ 2 (+ (exp x) (exp (neg x)))) (fma.f64 (-.f64 (.f64 #s(literal 5/24 binary64) (.f64 x x)) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))
▶	47.7%	#s(approx (/ 2 (+ (exp x) (exp (neg x)))) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64)))
▶	48.3%	#s(approx (/ 2 (+ (exp x) (exp (neg x)))) #s(literal 1 binary64))

Compiler

Compiled 210 to 158 computations (24.8% saved)

simplify126.0ms (2.4%)

Memory

-14.3MiB live, 70.8MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 13 expressions of interest:

New	Metric	Score	Program
cost-diff	0	(.f64 #s(literal 5/24 binary64) (.f64 x x))
cost-diff	0	(-.f64 (.f64 #s(literal 5/24 binary64) (.f64 x x)) #s(literal 1/2 binary64))
cost-diff	0	(fma.f64 (-.f64 (.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 (-.f64 (.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 x x)
cost-diff	0	(fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64))
cost-diff	0	#s(approx (/ 2 (+ (exp x) (exp (neg x)))) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #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	24	128
0	35	128
1	62	128
2	157	116
3	459	116
4	1745	112
5	6406	112
0	8293	112

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

localize86.0ms (1.6%)

Memory

18.0MiB live, 56.8MiB allocated

Localize:

Found 13 expressions of interest:

New	Metric	Score
accuracy	0.0	(*.f64 x x)
accuracy	0.04296875	(fma.f64 (-.f64 (.f64 #s(literal 5/24 binary64) (.f64 x x)) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))
accuracy	0.171875	(.f64 #s(literal 5/24 binary64) (.f64 x x))
accuracy	33.42834308668866	#s(approx (/ 2 (+ (exp x) (exp (neg x)))) (fma.f64 (-.f64 (.f64 #s(literal 5/24 binary64) (.f64 x x)) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))
accuracy	0.0	(fma.f64 x x #s(literal 2 binary64))
accuracy	0.01171875	(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 x x #s(literal 2 binary64))))
accuracy	17.050699001478023	#s(approx (+ (exp x) (exp (neg x))) (fma.f64 x x #s(literal 2 binary64)))
accuracy	0.0	(fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64))
accuracy	0.0	(*.f64 x x)
accuracy	33.449277346691105	#s(approx (/ 2 (+ (exp x) (exp (neg x)))) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64)))
accuracy	33.081594956911914	#s(approx (/ 2 (+ (exp x) (exp (neg x)))) #s(literal 1 binary64))
accuracy	0.0	(cosh.f64 x)
accuracy	0.01171875	(/.f64 #s(literal 1 binary64) (cosh.f64 x))

Samples

39.0ms

256×

valid

Compiler

Compiled 101 to 23 computations (77.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 27.0ms

ival-mult: 6.0ms (22% of total)

ival-add: 5.0ms (18.3% of total)

const: 4.0ms (14.6% of total)

ival-div: 3.0ms (11% of total)

ival-exp: 3.0ms (11% of total)

ival-cosh: 3.0ms (11% of total)

ival-sub: 1.0ms (3.7% of total)

exact: 1.0ms (3.7% of total)

ival-neg: 1.0ms (3.7% of total)

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

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

series8.0ms (0.1%)

Memory

7.9MiB live, 7.9MiB allocated

Counts

13 → 28

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 x x) #s(literal -1/2 binary64) #s(literal 1 binary64)))
(fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64))
(*.f64 x x)
(/.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 (-.f64 (.f64 #s(literal 5/24 binary64) (.f64 x x)) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))
(fma.f64 (-.f64 (.f64 #s(literal 5/24 binary64) (.f64 x x)) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))
(-.f64 (.f64 #s(literal 5/24 binary64) (.f64 x x)) #s(literal 1/2 binary64))
(.f64 #s(literal 5/24 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)))))))
(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)))))))
-1/2
(- (* 5/24 (pow x 2)) 1/2)
(* 5/24 (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)))))
(* (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)))) (+ (* (* x x) -1/2) 1) (* x 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) (* 5/24 (* x x)))
2.0ms	x	@	-inf	((/ 1 (cosh x)) (cosh x) (/ 2 (+ (exp x) (exp (neg x)))) (/ 2 (+ (exp x) (exp (neg x)))) (+ (* (* x x) -1/2) 1) (* x 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) (* 5/24 (* x x)))
2.0ms	x	@	0	((/ 1 (cosh x)) (cosh x) (/ 2 (+ (exp x) (exp (neg x)))) (/ 2 (+ (exp x) (exp (neg x)))) (+ (* (* x x) -1/2) 1) (* x 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) (* 5/24 (* 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)))) (+ (* (* x x) -1/2) 1) (* x 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) (* 5/24 (* x x)))

2.0ms

-inf

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

2.0ms

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

simplify202.0ms (3.8%)

Memory

2.3MiB live, 153.8MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	78	238
1	242	238
2	759	234
3	3206	230
0	8107	208

Stop Event

1×	iter limit
1×	node limit

Counts

28 → 28

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

rewrite61.0ms (1.2%)

Memory

5.4MiB live, 43.7MiB allocated

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	24	113
0	35	103
1	139	97
0	952	97

Stop Event

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

Counts

13 → 133

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

Outputs
(.f64 (/.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) (cosh.f64 x))) #s(literal 2 binary64))
(.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)))
(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 -1 binary64) (cosh.f64 x)))
(neg.f64 (/.f64 #s(literal -2 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 x))))
(exp.f64 (*.f64 (log.f64 (cosh.f64 x)) #s(literal -1 binary64)))
(*.f64 #s(literal 2 binary64) (/.f64 (cosh.f64 x) #s(literal 2 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 (*.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))
(cosh.f64 (neg.f64 (neg.f64 x)))
(cosh.f64 (neg.f64 x))
(cosh.f64 x)
(+.f64 (/.f64 (exp.f64 (neg.f64 x)) #s(literal 2 binary64)) (/.f64 (exp.f64 x) #s(literal 2 binary64)))
(+.f64 (/.f64 (exp.f64 x) #s(literal 2 binary64)) (/.f64 (exp.f64 (neg.f64 x)) #s(literal 2 binary64)))
#s(approx (/ 2 (+ (exp x) (exp (neg x)))) #s(literal 1 binary64))
#s(approx (/ 2 (+ (exp x) (exp (neg x)))) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 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 #s(literal -1/2 binary64) (*.f64 x x))))
(/.f64 (neg.f64 (-.f64 (.f64 #s(literal 1/4 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1 binary64))) (neg.f64 (-.f64 (.f64 #s(literal -1/2 binary64) (*.f64 x x)) #s(literal 1 binary64))))
(/.f64 (neg.f64 (fma.f64 #s(literal -1/8 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64))) (neg.f64 (fma.f64 #s(literal 1/4 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (.f64 x x))))))
(/.f64 (-.f64 (.f64 #s(literal 1/4 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1 binary64)) (-.f64 (.f64 #s(literal -1/2 binary64) (*.f64 x x)) #s(literal 1 binary64)))
(/.f64 (fma.f64 #s(literal -1/8 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 #s(literal -1/2 binary64) (*.f64 x x)))))
(/.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 #s(literal -1/2 binary64) (.f64 x x)))))
(fma.f64 (*.f64 #s(literal -1/2 binary64) (fabs.f64 x)) (fabs.f64 x) #s(literal 1 binary64))
(fma.f64 (*.f64 #s(literal -1/2 binary64) (neg.f64 x)) (neg.f64 x) #s(literal 1 binary64))
(fma.f64 (*.f64 #s(literal -1/2 binary64) x) x #s(literal 1 binary64))
(fma.f64 (fabs.f64 x) (*.f64 (fabs.f64 x) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(fma.f64 (.f64 #s(literal -1/2 binary64) (.f64 x x)) #s(literal 1 binary64) #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 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64))
(fma.f64 (neg.f64 x) (*.f64 (neg.f64 x) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(fma.f64 x (.f64 (.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 #s(literal -1/2 binary64) (.f64 x x)) #s(literal 1 binary64))
(-.f64 (/.f64 (.f64 #s(literal 1/4 binary64) (pow.f64 x #s(literal 4 binary64))) (-.f64 (.f64 #s(literal -1/2 binary64) (.f64 x x)) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 #s(literal -1/2 binary64) (*.f64 x x)) #s(literal 1 binary64))))
(-.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (.f64 x x)))
(-.f64 #s(literal 1 binary64) (.f64 (neg.f64 (.f64 x x)) #s(literal -1/2 binary64)))
(-.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 #s(literal -1/2 binary64) (.f64 x x))))) (/.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 #s(literal -1/2 binary64) (*.f64 x x))))))
(+.f64 (.f64 #s(literal -1/2 binary64) (.f64 x x)) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (.f64 x x)))
(*.f64 (pow.f64 x #s(literal 1 binary64)) (pow.f64 x #s(literal 1 binary64)))
(*.f64 (neg.f64 (fabs.f64 x)) (neg.f64 (fabs.f64 x)))
(*.f64 (fabs.f64 (fabs.f64 x)) (fabs.f64 (fabs.f64 x)))
(*.f64 (neg.f64 (neg.f64 x)) (neg.f64 (neg.f64 x)))
(*.f64 (fabs.f64 x) (fabs.f64 x))
(*.f64 (neg.f64 x) (neg.f64 x))
(*.f64 x x)
(pow.f64 (fabs.f64 x) #s(literal 2 binary64))
(pow.f64 (neg.f64 x) #s(literal 2 binary64))
(pow.f64 x #s(literal 2 binary64))
(neg.f64 (*.f64 (neg.f64 x) x))
(neg.f64 (*.f64 x (neg.f64 x)))
(fabs.f64 (*.f64 x x))
(exp.f64 (*.f64 (log.f64 x) #s(literal 2 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 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))))
(neg.f64 (/.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)))
(/.f64 (-.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 4 binary64))) (-.f64 #s(literal 2 binary64) (*.f64 x x)))
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 4 binary64))) (neg.f64 (-.f64 (*.f64 x x) #s(literal 2 binary64))))
(/.f64 (neg.f64 (+.f64 #s(literal 8 binary64) (pow.f64 x #s(literal 6 binary64)))) (neg.f64 (-.f64 (+.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 4 binary64)) (.f64 (.f64 x x) #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 4 binary64)) (-.f64 (*.f64 x x) #s(literal 2 binary64)))
(/.f64 (+.f64 #s(literal 8 binary64) (pow.f64 x #s(literal 6 binary64))) (+.f64 #s(literal 4 binary64) (-.f64 (pow.f64 x #s(literal 4 binary64)) (.f64 (.f64 x x) #s(literal 2 binary64)))))
(/.f64 (+.f64 #s(literal 8 binary64) (pow.f64 x #s(literal 6 binary64))) (-.f64 (+.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 4 binary64)) (.f64 (.f64 x x) #s(literal 2 binary64))))
(fma.f64 (pow.f64 x #s(literal 1 binary64)) (pow.f64 x #s(literal 1 binary64)) #s(literal 2 binary64))
(fma.f64 (neg.f64 (fabs.f64 x)) (neg.f64 (fabs.f64 x)) #s(literal 2 binary64))
(fma.f64 (fabs.f64 (fabs.f64 x)) (fabs.f64 (fabs.f64 x)) #s(literal 2 binary64))
(fma.f64 (neg.f64 (neg.f64 x)) (neg.f64 (neg.f64 x)) #s(literal 2 binary64))
(fma.f64 (fabs.f64 x) (fabs.f64 x) #s(literal 2 binary64))
(fma.f64 (neg.f64 x) (neg.f64 x) #s(literal 2 binary64))
(fma.f64 x x #s(literal 2 binary64))
(-.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (.f64 x x) #s(literal 2 binary64))) (/.f64 #s(literal 4 binary64) (-.f64 (.f64 x x) #s(literal 2 binary64))))
(-.f64 #s(literal 2 binary64) (*.f64 (neg.f64 (fabs.f64 x)) (fabs.f64 x)))
(-.f64 #s(literal 2 binary64) (*.f64 (neg.f64 (neg.f64 x)) (neg.f64 x)))
(-.f64 #s(literal 2 binary64) (*.f64 (neg.f64 x) x))
(-.f64 #s(literal 2 binary64) (*.f64 x (neg.f64 x)))
(+.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (-.f64 (+.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 4 binary64)) (.f64 (.f64 x x) #s(literal 2 binary64)))) (/.f64 #s(literal 8 binary64) (-.f64 (+.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 4 binary64)) (.f64 (.f64 x x) #s(literal 2 binary64)))))
(+.f64 (*.f64 x x) #s(literal 2 binary64))
(+.f64 #s(literal 2 binary64) (*.f64 x x))
#s(approx (/ 2 (+ (exp x) (exp (neg x)))) (fma.f64 (-.f64 (.f64 #s(literal 5/24 binary64) (.f64 x x)) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 (.f64 (-.f64 (.f64 #s(literal 5/24 binary64) (.f64 x x)) #s(literal 1/2 binary64)) x) x) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (-.f64 (.f64 #s(literal 5/24 binary64) (.f64 x x)) #s(literal 1/2 binary64)) x) x)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (.f64 (.f64 (-.f64 (.f64 #s(literal 5/24 binary64) (.f64 x x)) #s(literal 1/2 binary64)) x) x) #s(literal 2 binary64)) #s(literal 1 binary64))) (neg.f64 (-.f64 (.f64 (.f64 (-.f64 (.f64 #s(literal 5/24 binary64) (.f64 x x)) #s(literal 1/2 binary64)) x) x) #s(literal 1 binary64))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 (-.f64 (.f64 #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))) (neg.f64 (+.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 (-.f64 (.f64 #s(literal 5/24 binary64) (.f64 x x)) #s(literal 1/2 binary64)) x) x)) (pow.f64 (.f64 (.f64 (-.f64 (.f64 #s(literal 5/24 binary64) (.f64 x x)) #s(literal 1/2 binary64)) x) x) #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 (.f64 (.f64 (-.f64 (.f64 #s(literal 5/24 binary64) (.f64 x x)) #s(literal 1/2 binary64)) x) x) #s(literal 2 binary64)) #s(literal 1 binary64)) (-.f64 (.f64 (.f64 (-.f64 (.f64 #s(literal 5/24 binary64) (.f64 x x)) #s(literal 1/2 binary64)) x) x) #s(literal 1 binary64)))
(/.f64 (fma.f64 (pow.f64 (-.f64 (.f64 #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)) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (.f64 (.f64 (-.f64 (.f64 #s(literal 5/24 binary64) (.f64 x x)) #s(literal 1/2 binary64)) x) x) #s(literal 2 binary64)) (.f64 (.f64 (-.f64 (.f64 #s(literal 5/24 binary64) (.f64 x x)) #s(literal 1/2 binary64)) x) x))))
(/.f64 (fma.f64 (pow.f64 (-.f64 (.f64 #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)) (+.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 (-.f64 (.f64 #s(literal 5/24 binary64) (.f64 x x)) #s(literal 1/2 binary64)) x) x)) (pow.f64 (.f64 (.f64 (-.f64 (.f64 #s(literal 5/24 binary64) (.f64 x x)) #s(literal 1/2 binary64)) x) x) #s(literal 2 binary64))))
(fma.f64 (.f64 (-.f64 (.f64 #s(literal 5/24 binary64) (*.f64 x x)) #s(literal 1/2 binary64)) (fabs.f64 x)) (fabs.f64 x) #s(literal 1 binary64))
(fma.f64 (.f64 (-.f64 (.f64 #s(literal 5/24 binary64) (*.f64 x x)) #s(literal 1/2 binary64)) (neg.f64 x)) (neg.f64 x) #s(literal 1 binary64))
(fma.f64 (.f64 (-.f64 (.f64 #s(literal 5/24 binary64) (.f64 x x)) #s(literal 1/2 binary64)) x) (.f64 x #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 (.f64 (-.f64 (.f64 #s(literal 5/24 binary64) (*.f64 x x)) #s(literal 1/2 binary64)) x) x #s(literal 1 binary64))
(fma.f64 (fabs.f64 x) (.f64 (fabs.f64 x) (-.f64 (.f64 #s(literal 5/24 binary64) (*.f64 x x)) #s(literal 1/2 binary64))) #s(literal 1 binary64))
(fma.f64 (.f64 (.f64 (-.f64 (.f64 #s(literal 5/24 binary64) (.f64 x x)) #s(literal 1/2 binary64)) x) x) #s(literal 1 binary64) #s(literal 1 binary64))
(fma.f64 (-.f64 (.f64 #s(literal 5/24 binary64) (.f64 x x)) #s(literal 1/2 binary64)) (.f64 (.f64 x x) #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 (-.f64 (.f64 #s(literal 5/24 binary64) (.f64 x x)) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))
(fma.f64 (.f64 x x) (.f64 (-.f64 (.f64 #s(literal 5/24 binary64) (.f64 x x)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 (.f64 x x) (-.f64 (.f64 #s(literal 5/24 binary64) (*.f64 x x)) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(fma.f64 (neg.f64 x) (.f64 (neg.f64 x) (-.f64 (.f64 #s(literal 5/24 binary64) (*.f64 x x)) #s(literal 1/2 binary64))) #s(literal 1 binary64))
(fma.f64 x (.f64 (-.f64 (.f64 #s(literal 5/24 binary64) (*.f64 x x)) #s(literal 1/2 binary64)) x) #s(literal 1 binary64))
(fma.f64 #s(literal 1 binary64) (.f64 (.f64 (-.f64 (.f64 #s(literal 5/24 binary64) (.f64 x x)) #s(literal 1/2 binary64)) x) x) #s(literal 1 binary64))
(-.f64 (/.f64 (pow.f64 (.f64 (.f64 (-.f64 (.f64 #s(literal 5/24 binary64) (.f64 x x)) #s(literal 1/2 binary64)) x) x) #s(literal 2 binary64)) (-.f64 (.f64 (.f64 (-.f64 (.f64 #s(literal 5/24 binary64) (.f64 x x)) #s(literal 1/2 binary64)) x) x) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 (.f64 (-.f64 (.f64 #s(literal 5/24 binary64) (.f64 x x)) #s(literal 1/2 binary64)) x) x) #s(literal 1 binary64))))
(-.f64 #s(literal 1 binary64) (.f64 (neg.f64 (.f64 (-.f64 (.f64 #s(literal 5/24 binary64) (.f64 x x)) #s(literal 1/2 binary64)) x)) x))
(-.f64 #s(literal 1 binary64) (.f64 (neg.f64 (-.f64 (.f64 #s(literal 5/24 binary64) (.f64 x x)) #s(literal 1/2 binary64))) (.f64 x x)))
(-.f64 #s(literal 1 binary64) (.f64 (neg.f64 (.f64 x x)) (-.f64 (.f64 #s(literal 5/24 binary64) (.f64 x x)) #s(literal 1/2 binary64))))
(+.f64 (/.f64 (.f64 (pow.f64 (-.f64 (.f64 #s(literal 5/24 binary64) (.f64 x x)) #s(literal 1/2 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64))) (+.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 (-.f64 (.f64 #s(literal 5/24 binary64) (.f64 x x)) #s(literal 1/2 binary64)) x) x)) (pow.f64 (.f64 (.f64 (-.f64 (.f64 #s(literal 5/24 binary64) (.f64 x x)) #s(literal 1/2 binary64)) x) x) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 (-.f64 (.f64 #s(literal 5/24 binary64) (.f64 x x)) #s(literal 1/2 binary64)) x) x)) (pow.f64 (.f64 (.f64 (-.f64 (.f64 #s(literal 5/24 binary64) (*.f64 x x)) #s(literal 1/2 binary64)) x) x) #s(literal 2 binary64)))))
(+.f64 (.f64 (.f64 (-.f64 (.f64 #s(literal 5/24 binary64) (.f64 x x)) #s(literal 1/2 binary64)) x) x) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 (-.f64 (.f64 #s(literal 5/24 binary64) (.f64 x x)) #s(literal 1/2 binary64)) x) x))
(/.f64 (neg.f64 (-.f64 (.f64 #s(literal 25/576 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/4 binary64))) (neg.f64 (fma.f64 #s(literal 5/24 binary64) (.f64 x x) #s(literal 1/2 binary64))))
(/.f64 (neg.f64 (-.f64 (.f64 #s(literal 125/13824 binary64) (pow.f64 x #s(literal 6 binary64))) #s(literal 1/8 binary64))) (neg.f64 (fma.f64 #s(literal 25/576 binary64) (pow.f64 x #s(literal 4 binary64)) (fma.f64 (.f64 x x) #s(literal 5/48 binary64) #s(literal 1/4 binary64)))))
(/.f64 (-.f64 (.f64 #s(literal 25/576 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/4 binary64)) (fma.f64 #s(literal 5/24 binary64) (.f64 x x) #s(literal 1/2 binary64)))
(/.f64 (-.f64 (.f64 #s(literal 125/13824 binary64) (pow.f64 x #s(literal 6 binary64))) #s(literal 1/8 binary64)) (fma.f64 #s(literal 25/576 binary64) (pow.f64 x #s(literal 4 binary64)) (fma.f64 (.f64 x x) #s(literal 5/48 binary64) #s(literal 1/4 binary64))))
(-.f64 (/.f64 (.f64 #s(literal 25/576 binary64) (pow.f64 x #s(literal 4 binary64))) (fma.f64 #s(literal 5/24 binary64) (.f64 x x) #s(literal 1/2 binary64))) (/.f64 #s(literal 1/4 binary64) (fma.f64 #s(literal 5/24 binary64) (*.f64 x x) #s(literal 1/2 binary64))))
(-.f64 (/.f64 (.f64 #s(literal 125/13824 binary64) (pow.f64 x #s(literal 6 binary64))) (fma.f64 #s(literal 25/576 binary64) (pow.f64 x #s(literal 4 binary64)) (fma.f64 (.f64 x x) #s(literal 5/48 binary64) #s(literal 1/4 binary64)))) (/.f64 #s(literal 1/8 binary64) (fma.f64 #s(literal 25/576 binary64) (pow.f64 x #s(literal 4 binary64)) (fma.f64 (*.f64 x x) #s(literal 5/48 binary64) #s(literal 1/4 binary64)))))
(-.f64 (.f64 #s(literal 5/24 binary64) (.f64 x x)) #s(literal 1/2 binary64))
(.f64 (.f64 #s(literal 5/24 binary64) (fabs.f64 x)) (fabs.f64 x))
(.f64 (.f64 #s(literal 5/24 binary64) (neg.f64 x)) (neg.f64 x))
(.f64 (.f64 #s(literal 5/24 binary64) x) x)
(.f64 (fabs.f64 x) (.f64 (fabs.f64 x) #s(literal 5/24 binary64)))
(.f64 #s(literal 5/24 binary64) (.f64 x x))
(.f64 (.f64 x x) #s(literal 5/24 binary64))
(.f64 (neg.f64 x) (.f64 (neg.f64 x) #s(literal 5/24 binary64)))
(.f64 x (.f64 #s(literal 5/24 binary64) x))

eval98.0ms (1.9%)

Memory: -9.0MiB live, 79.0MiB allocated
Compiler: Compiled 3 874 to 638 computations (83.5% saved)

prune34.0ms (0.6%)

Memory

-24.4MiB live, 15.1MiB allocated

Pruning

9 alts after pruning (5 fresh and 4 done)

	Pruned	Kept	Total
New	182	5	187
Fresh	2	0	2
Picked	1	4	5
Done	0	0	0
Total	185	9	194

Accuracy

100.0%

Counts

194 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	73.3%	(/.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))
▶	91.2%	(/.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))))
▶	86.7%	(/.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))))
▶	47.5%	(.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)))
✓	47.7%	#s(approx (/ 2 (+ (exp x) (exp (neg x)))) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64)))
▶	47.8%	#s(approx (/ 2 (+ (exp x) (exp (neg x)))) (fma.f64 #s(approx (- (* 5/24 (* x x)) 1/2) (fma.f64 #s(literal 5/24 binary64) (.f64 x x) #s(literal -1/2 binary64))) (.f64 x x) #s(literal 1 binary64)))
✓	48.3%	#s(approx (/ 2 (+ (exp x) (exp (neg x)))) #s(literal 1 binary64))
▶	47.4%	#s(approx (/ 1 (cosh x)) (fma.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -61/720 binary64) (fma.f64 #s(literal 5/24 binary64) (.f64 x x) #s(literal -1/2 binary64))) (.f64 x x) #s(literal 1 binary64)))

Compiler

Compiled 246 to 166 computations (32.5% saved)

simplify164.0ms (3.1%)

Memory

36.9MiB live, 184.0MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(*.f64 #s(literal 2 binary64) (cosh.f64 x))
cost-diff	0	(/.f64 #s(literal 2 binary64) (.f64 (.f64 #s(literal 2 binary64) (cosh.f64 x)) (*.f64 #s(literal 2 binary64) (sinh.f64 x))))
cost-diff	2	(.f64 (.f64 #s(literal 2 binary64) (cosh.f64 x)) (*.f64 #s(literal 2 binary64) (sinh.f64 x)))
cost-diff	10	(.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)))
cost-diff	0	(pow.f64 x #s(literal 4 binary64))
cost-diff	0	(fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -61/720 binary64) (fma.f64 #s(literal 5/24 binary64) (*.f64 x x) #s(literal -1/2 binary64)))
cost-diff	0	(fma.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -61/720 binary64) (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 (/ 1 (cosh x)) (fma.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -61/720 binary64) (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 #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 5/24 binary64) (*.f64 x x) #s(literal -1/2 binary64))
cost-diff	0	#s(approx (- (* 5/24 (* x x)) 1/2) (fma.f64 #s(literal 5/24 binary64) (*.f64 x x) #s(literal -1/2 binary64)))
cost-diff	0	(fma.f64 #s(approx (- (* 5/24 (* x x)) 1/2) (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 #s(approx (- (* 5/24 (* x x)) 1/2) (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 (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))))

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	45	325
0	75	325
1	143	317
2	489	305
3	2583	305
0	8416	305

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

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

localize329.0ms (6.3%)

Memory

-45.4MiB live, 492.8MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.0	(cosh.f64 x)
accuracy	0.00390625	(.f64 (.f64 #s(literal 2 binary64) (cosh.f64 x)) (*.f64 #s(literal 2 binary64) (sinh.f64 x)))
accuracy	0.0078125	(/.f64 #s(literal 2 binary64) (.f64 (.f64 #s(literal 2 binary64) (cosh.f64 x)) (*.f64 #s(literal 2 binary64) (sinh.f64 x))))
accuracy	0.8281208719124419	(.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)))
accuracy	0.00390625	(fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -61/720 binary64) (fma.f64 #s(literal 5/24 binary64) (*.f64 x x) #s(literal -1/2 binary64)))
accuracy	0.0078125	(fma.f64 #s(literal 5/24 binary64) (*.f64 x x) #s(literal -1/2 binary64))
accuracy	0.01171875	(fma.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -61/720 binary64) (fma.f64 #s(literal 5/24 binary64) (.f64 x x) #s(literal -1/2 binary64))) (.f64 x x) #s(literal 1 binary64))
accuracy	1.218932032919333	#s(approx (/ 1 (cosh x)) (fma.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -61/720 binary64) (fma.f64 #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 1/24 binary64) (.f64 x x) #s(literal 1/2 binary64)) (.f64 x x) #s(literal 1 binary64))
accuracy	0.0078125	(fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64))
accuracy	0.01171875	(/.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	1.202436465974636	#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	0.0	#s(approx (- (* 5/24 (* x x)) 1/2) (fma.f64 #s(literal 5/24 binary64) (*.f64 x x) #s(literal -1/2 binary64)))
accuracy	0.0078125	(fma.f64 #s(approx (- (* 5/24 (* x x)) 1/2) (fma.f64 #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 #s(literal 5/24 binary64) (*.f64 x x) #s(literal -1/2 binary64))
accuracy	1.2336906220217319	#s(approx (/ 2 (+ (exp x) (exp (neg x)))) (fma.f64 #s(approx (- (* 5/24 (* x x)) 1/2) (fma.f64 #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 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64))
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	(/.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	1.1912948314328091	#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)))

Samples

222.0ms	131×	5	exit
55.0ms	125×	0	valid

Compiler

Compiled 235 to 46 computations (80.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 193.0ms

adjust: 56.0ms (29% of total)

ival-exp: 41.0ms (21.2% of total)

ival-mult: 28.0ms (14.5% of total)

const: 23.0ms (11.9% of total)

ival-add: 19.0ms (9.8% of total)

ival-div: 10.0ms (5.2% of total)

ival-pow: 6.0ms (3.1% of total)

ival-cosh: 3.0ms (1.6% of total)

ival-sub: 2.0ms (1% of total)

ival-neg: 2.0ms (1% of total)

exact: 1.0ms (0.5% of total)

ival-sinh: 1.0ms (0.5% of total)

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

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

series15.0ms (0.3%)

Memory

19.8MiB live, 19.8MiB allocated

Counts

22 → 61

Calls

Call 1

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

Calls

3 calls:

Time

Variable

Point

Expression

5.0ms

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) (/ 2 (+ (exp x) (exp (neg x)))) (+ (* (- (* 5/24 (* x x)) 1/2) (* x x)) 1) (- (* 5/24 (* x x)) 1/2) (+ (* 5/24 (* 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)) (+ (* (+ (* (pow x 4) -61/720) (+ (* 5/24 (* x x)) -1/2)) (* x x)) 1) (+ (* (pow x 4) -61/720) (+ (* 5/24 (* x x)) -1/2)) (pow x 4) (* (/ 2 (* (* 2 (cosh x)) (* 2 (sinh x)))) (* 2 (sinh x))) (* (* 2 (cosh x)) (* 2 (sinh x))) (/ 2 (* (* 2 (cosh x)) (* 2 (sinh x)))) (* 2 (cosh x)) (+ (* 1/720 (* x x)) 1/24) (cosh x))

5.0ms

-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) (/ 2 (+ (exp x) (exp (neg x)))) (+ (* (- (* 5/24 (* x x)) 1/2) (* x x)) 1) (- (* 5/24 (* x x)) 1/2) (+ (* 5/24 (* 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)) (+ (* (+ (* (pow x 4) -61/720) (+ (* 5/24 (* x x)) -1/2)) (* x x)) 1) (+ (* (pow x 4) -61/720) (+ (* 5/24 (* x x)) -1/2)) (pow x 4) (* (/ 2 (* (* 2 (cosh x)) (* 2 (sinh x)))) (* 2 (sinh x))) (* (* 2 (cosh x)) (* 2 (sinh x))) (/ 2 (* (* 2 (cosh x)) (* 2 (sinh x)))) (* 2 (cosh x)) (+ (* 1/720 (* x x)) 1/24) (cosh x))

3.0ms

((/ 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) (/ 2 (+ (exp x) (exp (neg x)))) (+ (* (- (* 5/24 (* x x)) 1/2) (* x x)) 1) (- (* 5/24 (* x x)) 1/2) (+ (* 5/24 (* 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)) (+ (* (+ (* (pow x 4) -61/720) (+ (* 5/24 (* x x)) -1/2)) (* x x)) 1) (+ (* (pow x 4) -61/720) (+ (* 5/24 (* x x)) -1/2)) (pow x 4) (* (/ 2 (* (* 2 (cosh x)) (* 2 (sinh x)))) (* 2 (sinh x))) (* (* 2 (cosh x)) (* 2 (sinh x))) (/ 2 (* (* 2 (cosh x)) (* 2 (sinh x)))) (* 2 (cosh x)) (+ (* 1/720 (* x x)) 1/24) (cosh x))

simplify152.0ms (2.9%)

Memory

11.4MiB live, 198.7MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	155	612
1	499	606
2	1543	584
3	6501	584
0	8602	544

Stop Event

1×	iter limit
1×	node limit

Counts

61 → 61

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
(+ 1/2 (* 1/24 (pow x 2)))
(+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))
-1/2
(- (* 5/24 (pow x 2)) 1/2)
(- (* (pow x 2) (+ 5/24 (* -61/720 (pow x 2)))) 1/2)
(pow x 4)
(* 4 x)
(* x (+ 4 (* 8/3 (pow x 2))))
(* x (+ 4 (* (pow x 2) (+ 8/3 (* 8/15 (pow x 2))))))
(* x (+ 4 (* (pow x 2) (+ 8/3 (* (pow x 2) (+ 8/15 (* 16/315 (pow x 2))))))))
(/ 1/2 x)
(/ (+ 1/2 (* -1/3 (pow x 2))) x)
(/ (+ 1/2 (* (pow x 2) (- (* 7/45 (pow x 2)) 1/3))) x)
(/ (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 7/45 (* -62/945 (pow x 2)))) 1/3))) 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)))))))
1/24
(+ 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 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) (exp (neg x))))
(* 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)))))
(* 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)))))
(* -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)))))
(* (+ (exp x) (/ 1 (exp x))) (- (exp x) (/ 1 (exp x))))
(/ 2 (* (+ (exp x) (/ 1 (exp x))) (- (exp x) (/ 1 (exp x)))))
(+ (exp x) (/ 1 (exp x)))
(* 1/720 (pow x 2))
(* (pow x 2) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))
(/ 2 (+ (exp x) (exp (* -1 x))))

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 (.f64 x x) #s(literal 5/24 binary64) #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 (pow.f64 x #s(literal 4 binary64)) #s(literal -61/720 binary64) (fma.f64 (.f64 x x) #s(literal 5/24 binary64) #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 #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 (.f64 #s(literal 1/2 binary64) x) x (fma.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 #s(literal 1/720 binary64) (.f64 x x) #s(literal 1/24 binary64)) #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))
-1/2
#s(literal -1/2 binary64)
(- (* 5/24 (pow x 2)) 1/2)
(fma.f64 (*.f64 x x) #s(literal 5/24 binary64) #s(literal -1/2 binary64))
(- (* (pow x 2) (+ 5/24 (* -61/720 (pow x 2)))) 1/2)
(fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -61/720 binary64) (fma.f64 (*.f64 x x) #s(literal 5/24 binary64) #s(literal -1/2 binary64)))
(pow x 4)
(pow.f64 x #s(literal 4 binary64))
(* 4 x)
(*.f64 #s(literal 4 binary64) x)
(* x (+ 4 (* 8/3 (pow x 2))))
(.f64 (fma.f64 #s(literal 8/3 binary64) (.f64 x x) #s(literal 4 binary64)) x)
(* x (+ 4 (* (pow x 2) (+ 8/3 (* 8/15 (pow x 2))))))
(.f64 (fma.f64 (fma.f64 #s(literal 8/15 binary64) (.f64 x x) #s(literal 8/3 binary64)) (*.f64 x x) #s(literal 4 binary64)) x)
(* x (+ 4 (* (pow x 2) (+ 8/3 (* (pow x 2) (+ 8/15 (* 16/315 (pow x 2))))))))
(.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 16/315 binary64) (.f64 x x) #s(literal 8/15 binary64)) (.f64 x x) #s(literal 8/3 binary64)) (.f64 x x) #s(literal 4 binary64)) x)
(/ 1/2 x)
(/.f64 #s(literal 1/2 binary64) x)
(/ (+ 1/2 (* -1/3 (pow x 2))) x)
(/.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 x x) #s(literal 1/2 binary64)) x)
(/ (+ 1/2 (* (pow x 2) (- (* 7/45 (pow x 2)) 1/3))) x)
(/.f64 (fma.f64 (-.f64 (.f64 #s(literal 7/45 binary64) (.f64 x x)) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x)
(/ (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 7/45 (* -62/945 (pow x 2)))) 1/3))) x)
(/.f64 (fma.f64 (fma.f64 #s(literal -62/945 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 (.f64 #s(literal 7/45 binary64) (.f64 x x)) #s(literal 1/3 binary64))) (*.f64 x x) #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 #s(literal 1/12 binary64) (pow.f64 x #s(literal 4 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 (fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 1/360 binary64) (*.f64 x x) #s(literal 1/12 binary64)) x) x #s(literal 2 binary64))
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))
(/ 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)))
(* 1/720 (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) (exp (neg x))))
(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)))
(* 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 (-.f64 #s(literal 5/24 binary64) (/.f64 (/.f64 #s(literal 1/2 binary64) x) x)) (pow.f64 x #s(literal 4 binary64)))
(* (pow x 4) (- (+ 5/24 (/ 1 (pow x 4))) (* 1/2 (/ 1 (pow x 2)))))
(+.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 5/24 binary64) (/.f64 (/.f64 #s(literal 1/2 binary64) x) x)) (pow.f64 x #s(literal 4 binary64))))
(* 5/24 (pow x 2))
(.f64 (.f64 x x) #s(literal 5/24 binary64))
(* (pow x 2) (- 5/24 (* 1/2 (/ 1 (pow x 2)))))
(fma.f64 (*.f64 x x) #s(literal 5/24 binary64) #s(literal -1/2 binary64))
(* 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 (/.f64 #s(literal 1/2 binary64) 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 (/.f64 #s(literal 1/2 binary64) 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))
(* -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 (/.f64 #s(literal 5/24 binary64) (.f64 x x)) #s(literal 61/720 binary64)) (/.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 4 binary64)))) (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 (/.f64 #s(literal 5/24 binary64) (.f64 x x)) #s(literal 61/720 binary64)) (/.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 4 binary64)))) (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 (-.f64 (/.f64 #s(literal 5/24 binary64) (.f64 x x)) #s(literal 61/720 binary64)) (pow.f64 x #s(literal 4 binary64)))
(* (pow x 4) (- (* 5/24 (/ 1 (pow x 2))) (+ 61/720 (/ 1/2 (pow x 4)))))
(.f64 (-.f64 (-.f64 (/.f64 #s(literal 5/24 binary64) (.f64 x x)) #s(literal 61/720 binary64)) (/.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 4 binary64)))) (pow.f64 x #s(literal 4 binary64)))
(* (+ (exp x) (/ 1 (exp x))) (- (exp x) (/ 1 (exp x))))
(-.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) (pow.f64 (exp.f64 x) #s(literal -2 binary64)))
(/ 2 (* (+ (exp x) (/ 1 (exp x))) (- (exp x) (/ 1 (exp x)))))
(/.f64 #s(literal 2 binary64) (-.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) (pow.f64 (exp.f64 x) #s(literal -2 binary64))))
(+ (exp x) (/ 1 (exp x)))
(+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x))
(* 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))
(/ 2 (+ (exp x) (exp (* -1 x))))
(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)))

rewrite247.0ms (4.7%)

Memory

-12.2MiB live, 273.3MiB allocated

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	45	280
0	75	278
1	292	260
2	2225	260
0	8497	260

Stop Event

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

Counts

22 → 586

Calls

Call 1

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

Outputs
(.f64 (neg.f64 (pow.f64 #s(approx (cosh x) (fma.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)) (.f64 x x) #s(literal 1 binary64))) #s(literal -1/2 binary64))) (neg.f64 (pow.f64 #s(approx (cosh x) (fma.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)) (*.f64 x x) #s(literal 1 binary64))) #s(literal -1/2 binary64))))
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(/.f64 (-.f64 (.f64 #s(literal 1/518400 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/576 binary64)) (-.f64 (.f64 (*.f64 x x) #s(literal 1/720 binary64)) #s(literal 1/24 binary64)))
(/.f64 (fma.f64 #s(literal 1/373248000 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 1/13824 binary64)) (+.f64 #s(literal 1/576 binary64) (-.f64 (.f64 #s(literal 1/518400 binary64) (pow.f64 x #s(literal 4 binary64))) (.f64 (*.f64 x x) #s(literal 1/17280 binary64)))))
(/.f64 (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 (fabs.f64 (*.f64 #s(literal 1/720 binary64) (neg.f64 x))) x #s(literal 1/24 binary64))
(fma.f64 (fabs.f64 (*.f64 #s(literal 1/720 binary64) x)) x #s(literal 1/24 binary64))
(fma.f64 (*.f64 #s(literal 1/720 binary64) (neg.f64 x)) (neg.f64 x) #s(literal 1/24 binary64))
(fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal 1/24 binary64))
(fma.f64 (neg.f64 x) (*.f64 (neg.f64 x) #s(literal 1/720 binary64)) #s(literal 1/24 binary64))
(fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))
(fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64))
(fma.f64 x (fabs.f64 (*.f64 (neg.f64 x) #s(literal 1/720 binary64))) #s(literal 1/24 binary64))
(fma.f64 x (fabs.f64 (*.f64 #s(literal 1/720 binary64) x)) #s(literal 1/24 binary64))
(fma.f64 x (*.f64 #s(literal 1/720 binary64) x) #s(literal 1/24 binary64))
(-.f64 (/.f64 (.f64 #s(literal 1/518400 binary64) (pow.f64 x #s(literal 4 binary64))) (-.f64 (.f64 (.f64 x x) #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) (/.f64 #s(literal 1/576 binary64) (-.f64 (.f64 (*.f64 x x) #s(literal 1/720 binary64)) #s(literal 1/24 binary64))))
(-.f64 #s(literal 1/24 binary64) (.f64 (neg.f64 (.f64 #s(literal 1/720 binary64) x)) x))
(-.f64 #s(literal 1/24 binary64) (.f64 (neg.f64 (.f64 x x)) #s(literal 1/720 binary64)))
(-.f64 #s(literal 1/24 binary64) (.f64 #s(literal -1/720 binary64) (.f64 x x)))
(+.f64 (/.f64 (.f64 #s(literal 1/373248000 binary64) (pow.f64 x #s(literal 6 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))))) (/.f64 #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))))))
(+.f64 (.f64 (.f64 x x) #s(literal 1/720 binary64)) #s(literal 1/24 binary64))
(+.f64 #s(literal 1/24 binary64) (.f64 (.f64 x x) #s(literal 1/720 binary64)))
(*.f64 #s(literal 2 binary64) (/.f64 (cosh.f64 x) #s(literal 2 binary64)))
(*.f64 (cosh.f64 x) #s(literal 1 binary64))
(/.f64 (fma.f64 (exp.f64 (neg.f64 x)) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (exp.f64 x))) #s(literal 4 binary64))
(/.f64 (fma.f64 (exp.f64 x) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (exp.f64 (neg.f64 x)))) #s(literal 4 binary64))
(/.f64 (fma.f64 #s(literal 2 binary64) (cosh.f64 x) (*.f64 #s(literal 2 binary64) (cosh.f64 x))) #s(literal 4 binary64))
(/.f64 (neg.f64 (*.f64 #s(literal -2 binary64) (cosh.f64 x))) #s(literal 2 binary64))
(/.f64 (neg.f64 (+.f64 (pow.f64 (exp.f64 x) #s(literal -3 binary64)) (pow.f64 (exp.f64 x) #s(literal 3 binary64)))) (neg.f64 (.f64 (fma.f64 (exp.f64 x) (exp.f64 x) (expm1.f64 (.f64 (neg.f64 x) #s(literal 2 binary64)))) #s(literal 2 binary64))))
(/.f64 (+.f64 (pow.f64 (exp.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 (.f64 (.f64 (cosh.f64 x) #s(literal 4 binary64)) (sinh.f64 (neg.f64 x))) (neg.f64 (*.f64 #s(literal 4 binary64) (sinh.f64 x))))
(/.f64 (*.f64 #s(literal -2 binary64) (cosh.f64 x)) #s(literal -2 binary64))
(/.f64 (.f64 (.f64 #s(literal 4 binary64) (sinh.f64 x)) (cosh.f64 x)) (*.f64 #s(literal 4 binary64) (sinh.f64 x)))
(/.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 2 binary64))
(cosh.f64 (neg.f64 x))
(cosh.f64 x)
(+.f64 (/.f64 (cosh.f64 x) #s(literal 2 binary64)) (/.f64 (cosh.f64 x) #s(literal 2 binary64)))
(+.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)))

eval108.0ms (2.1%)

Memory: 1.2MiB live, 195.6MiB allocated
Compiler: Compiled 21 114 to 3 012 computations (85.7% saved)

prune19.0ms (0.4%)

Memory

3.4MiB live, 53.4MiB allocated

Pruning

14 alts after pruning (9 fresh and 5 done)

	Pruned	Kept	Total
New	663	9	672
Fresh	0	0	0
Picked	4	1	5
Done	0	4	4
Total	667	14	681

Accuracy

100.0%

Counts

681 → 14

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	73.3%	(/.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))
▶	91.2%	(/.f64 #s(literal 1 binary64) #s(approx (cosh x) (fma.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/720 binary64) x) x #s(literal 1/24 binary64)) (.f64 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 (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))))
▶	86.7%	(/.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))))
▶	91.1%	(/.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))))
▶	91.2%	(/.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))))
	86.7%	(/.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))))
▶	86.5%	(/.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))))
	47.5%	(.f64 (/.f64 #s(literal 4 binary64) (.f64 (*.f64 #s(literal 4 binary64) (sinh.f64 x)) (cosh.f64 x))) (sinh.f64 x))
✓	47.7%	#s(approx (/ 2 (+ (exp x) (exp (neg x)))) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64)))
✓	47.8%	#s(approx (/ 2 (+ (exp x) (exp (neg x)))) (fma.f64 #s(approx (- (* 5/24 (* x x)) 1/2) (fma.f64 #s(literal 5/24 binary64) (.f64 x x) #s(literal -1/2 binary64))) (.f64 x x) #s(literal 1 binary64)))
✓	48.3%	#s(approx (/ 2 (+ (exp x) (exp (neg x)))) #s(literal 1 binary64))
	47.4%	#s(approx (/ 1 (cosh x)) (fma.f64 (fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal -61/720 binary64) (fma.f64 #s(literal 5/24 binary64) (.f64 x x) #s(literal -1/2 binary64))) (*.f64 x x) #s(literal 1 binary64)))

Compiler

Compiled 436 to 284 computations (34.9% saved)

simplify139.0ms (2.6%)

Memory

9.3MiB live, 165.3MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	40	441
0	74	432
1	130	432
2	341	432
3	1357	432
4	4383	432
0	8083	432

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

Outputs
(/.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 #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 (.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 #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))
(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 (.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x)
(.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 (.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (.f64 x x) #s(literal 1/2 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 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))
(fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64))
(*.f64 x x)
x
#s(literal 1/720 binary64)
#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 #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 (pow.f64 x #s(literal 4 binary64)) #s(approx (+ (* 1/720 (* x x)) 1/24) (.f64 #s(literal 1/720 binary64) (.f64 x x))) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) x #s(literal 1 binary64)))))
#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)))
#s(approx (cosh x) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(approx (+ (* 1/720 (* x x)) 1/24) (.f64 #s(literal 1/720 binary64) (.f64 x x))) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) x #s(literal 1 binary64))))
(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))
(fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(approx (+ (* 1/720 (* x x)) 1/24) (.f64 #s(literal 1/720 binary64) (.f64 x x))) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) x #s(literal 1 binary64)))
(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))
#s(approx (+ (* 1/720 (* x x)) 1/24) (.f64 #s(literal 1/720 binary64) (.f64 x x)))
(.f64 #s(literal 1/720 binary64) (.f64 x x))
#s(literal 1/720 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 (.f64 #s(literal 1/720 binary64) 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 (.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 (fma.f64 (fma.f64 (.f64 #s(literal 1/720 binary64) 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 (.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 (fma.f64 (fma.f64 (.f64 #s(literal 1/720 binary64) x) x #s(literal 1/24 binary64)) (.f64 x x) #s(literal 1/2 binary64)) (*.f64 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 (fma.f64 (.f64 #s(literal 1/720 binary64) x) x #s(literal 1/24 binary64)) (.f64 x x) #s(literal 1/2 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 (*.f64 #s(literal 1/720 binary64) x) x #s(literal 1/24 binary64))
(fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64))
(*.f64 #s(literal 1/720 binary64) x)
#s(literal 1/720 binary64)
x
#s(literal 1/24 binary64)
(*.f64 x x)
#s(literal 1/2 binary64)

localize101.0ms (1.9%)

Memory

-12.6MiB live, 146.2MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.04296875	(fma.f64 (fma.f64 (.f64 #s(literal 1/720 binary64) x) x #s(literal 1/24 binary64)) (.f64 x x) #s(literal 1/2 binary64))
accuracy	0.07421875	(fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal 1/24 binary64))
accuracy	0.27734375	(*.f64 #s(literal 1/720 binary64) x)
accuracy	5.621531690771366	#s(approx (cosh x) (fma.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/720 binary64) x) x #s(literal 1/24 binary64)) (.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))
accuracy	0.04296875	(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))
accuracy	0.3820434977441922	(.f64 #s(literal 1/720 binary64) (.f64 x x))
accuracy	5.621531690771366	#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)))
accuracy	29.338738173460033	#s(approx (+ (* 1/720 (* x x)) 1/24) (.f64 #s(literal 1/720 binary64) (.f64 x x)))
accuracy	0.0390625	(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	0.05078125	(fma.f64 (*.f64 #s(literal 1/24 binary64) x) x #s(literal 1/2 binary64))
accuracy	0.359375	(*.f64 #s(literal 1/24 binary64) x)
accuracy	8.52146818133927	#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	0.0390625	(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	0.402582819263862	(.f64 #s(literal 1/24 binary64) (.f64 x x))
accuracy	8.52146818133927	#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	29.30633514822561	#s(approx (+ (* 1/24 (* x x)) 1/2) (.f64 #s(literal 1/24 binary64) (.f64 x x)))
accuracy	0.02734375	(.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)
accuracy	0.04296875	(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))
accuracy	0.2921997477441922	(fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))
accuracy	5.621531690771366	#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)))

Samples

73.0ms

256×

valid

Compiler

Compiled 256 to 39 computations (84.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 54.0ms

ival-mult: 24.0ms (44.6% of total)

ival-add: 16.0ms (29.7% of total)

const: 6.0ms (11.1% of total)

ival-cosh: 6.0ms (11.1% of total)

ival-div: 2.0ms (3.7% of total)

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

exact: 0.0ms (0% of total)

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

series11.0ms (0.2%)

Memory

13.5MiB live, 13.5MiB allocated

Counts

28 → 37

Calls

Call 1

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

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)))))
1/24
(+ 1/24 (* 1/720 (pow x 2)))
(* 1/24 (pow x 2))
(* 1/24 x)
(* 1/720 (pow x 2))
(* 1/720 x)
(/ 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))))))
(* (pow x 2) (+ 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

5.0ms

inf

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

3.0ms

-inf

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

2.0ms

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

simplify168.0ms (3.2%)

Memory

-17.3MiB live, 148.0MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	86	355
1	294	355
2	867	346
3	3247	346
0	8301	325

Stop Event

1×	iter limit
1×	node limit

Counts

37 → 37

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

rewrite208.0ms (4%)

Memory

21.5MiB live, 208.9MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	40	405
0	74	396
1	306	396
2	1567	396
0	8279	396

Stop Event

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

Counts

28 → 621

Calls

Call 1

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

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

eval76.0ms (1.4%)

Memory: 15.3MiB live, 131.3MiB allocated
Compiler: Compiled 27 622 to 2 686 computations (90.3% saved)

prune26.0ms (0.5%)

Memory

-16.9MiB live, 58.2MiB allocated

Pruning

17 alts after pruning (11 fresh and 6 done)

	Pruned	Kept	Total
New	499	8	507
Fresh	1	3	4
Picked	4	1	5
Done	0	5	5
Total	504	17	521

Accuracy

100.0%

Counts

521 → 17

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	73.3%	(/.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))
	91.2%	(/.f64 #s(literal 1 binary64) #s(approx (cosh x) (fma.f64 (fma.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #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 (.f64 (fma.f64 #s(literal 1/720 binary64) (.f64 x x) #s(literal 1/24 binary64)) x) x) x (.f64 #s(literal 1/2 binary64) x)) x #s(literal 1 binary64))))
	91.1%	(/.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))))
	91.1%	(/.f64 #s(literal 1 binary64) #s(approx (cosh x) (fma.f64 (fma.f64 #s(approx (+ (* 1/720 (* x x)) 1/24) (.f64 (.f64 #s(literal 1/720 binary64) x) x)) (.f64 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 (.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))))
	86.7%	(/.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))))
	91.1%	(/.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))))
	86.5%	(/.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))))
	86.5%	(/.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))))
	54.7%	(/.f64 #s(literal 1 binary64) #s(approx (cosh x) (/.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 (neg.f64 (.f64 #s(approx (+ ( 1/24 (* x x)) 1/2) (.f64 #s(literal 1/24 binary64) (.f64 x x))) x)) x) (.f64 (neg.f64 (.f64 #s(approx (+ (* 1/24 (* x x)) 1/2) (.f64 #s(literal 1/24 binary64) (.f64 x x))) x)) x))) (+.f64 #s(literal 1 binary64) (.f64 (neg.f64 (.f64 #s(approx (+ (* 1/24 (* x x)) 1/2) (.f64 #s(literal 1/24 binary64) (.f64 x x))) x)) x)))))
	47.5%	(.f64 (/.f64 #s(literal 4 binary64) (.f64 (*.f64 #s(literal 4 binary64) (sinh.f64 x)) (cosh.f64 x))) (sinh.f64 x))
✓	47.7%	#s(approx (/ 2 (+ (exp x) (exp (neg x)))) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64)))
✓	47.8%	#s(approx (/ 2 (+ (exp x) (exp (neg x)))) (fma.f64 #s(approx (- (* 5/24 (* x x)) 1/2) (fma.f64 #s(literal 5/24 binary64) (.f64 x x) #s(literal -1/2 binary64))) (.f64 x x) #s(literal 1 binary64)))
✓	48.3%	#s(approx (/ 2 (+ (exp x) (exp (neg x)))) #s(literal 1 binary64))
	47.4%	#s(approx (/ 1 (cosh x)) (fma.f64 (fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal -61/720 binary64) (fma.f64 #s(literal 5/24 binary64) (.f64 x x) #s(literal -1/2 binary64))) (*.f64 x x) #s(literal 1 binary64)))

Compiler

Compiled 1 015 to 404 computations (60.2% saved)

regimes25.0ms (0.5%)

Memory

-13.1MiB live, 25.0MiB allocated

Counts

30 → 1

Calls

Call 1

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

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

Calls

3 calls:

8.0ms	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

33.5MiB live, 33.5MiB allocated

Counts

23 → 2

Calls

Call 1

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

Outputs

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

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
93.8%	2	`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)

regimes45.0ms (0.9%)

Memory

-4.9MiB live, 42.7MiB allocated

Counts

22 → 1

Calls

Call 1

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

Outputs

(/.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))))

Calls

3 calls:

35.0ms	x
5.0ms	(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
4.0ms	(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))

Results

Accuracy	Segments	Branch
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)))`
91.2%	1	`x`

Compiler

Compiled 15 to 13 computations (13.3% saved)

regimes15.0ms (0.3%)

Memory

-8.8MiB live, 29.0MiB allocated

Counts

17 → 1

Calls

Call 1

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

6.0ms	(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
5.0ms	x
4.0ms	(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))

Results

Accuracy	Segments	Branch
91.1%	1	`x`
91.1%	1	`(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))`
91.1%	1	`(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))`

Compiler

Compiled 15 to 13 computations (13.3% saved)

regimes14.0ms (0.3%)

Memory

-14.5MiB live, 23.1MiB allocated

Counts

13 → 1

Calls

Call 1

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

7.0ms	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
86.7%	1	`(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))`
86.7%	1	`x`
86.7%	1	`(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))`

Compiler

Compiled 15 to 13 computations (13.3% saved)

regimes8.0ms (0.1%)

Memory

20.6MiB live, 20.6MiB 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 x x) #s(literal -1/2 binary64) #s(literal 1 binary64)))
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 x x #s(literal 2 binary64))))
#s(approx (/ 2 (+ (exp x) (exp (neg x)))) (fma.f64 #s(approx (- (* 5/24 (* x x)) 1/2) (fma.f64 #s(literal 5/24 binary64) (.f64 x x) #s(literal -1/2 binary64))) (.f64 x x) #s(literal 1 binary64)))
#s(approx (/ 2 (+ (exp x) (exp (neg x)))) (fma.f64 (-.f64 (.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))))

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

Results

Accuracy	Segments	Branch
86.5%	1	`x`
86.5%	1	`(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))`
86.5%	1	`(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))`

Compiler

Compiled 15 to 13 computations (13.3% saved)

regimes7.0ms (0.1%)

Memory

-20.3MiB live, 18.6MiB allocated

Counts

5 → 1

Calls

Call 1

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

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

Results

Accuracy	Segments	Branch
73.3%	1	`x`
73.3%	1	`(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))`
73.3%	1	`(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))`

Compiler

Compiled 15 to 13 computations (13.3% saved)

regimes4.0ms (0.1%)

Memory

8.9MiB live, 8.9MiB allocated

Accuracy

Total -0.4b remaining (-1.3%)

Threshold costs -0.4b (-1.3%)

Counts

2 → 1

Calls

Call 1

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

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
48.3%	1	`x`
48.3%	1	`(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))`
48.3%	1	`(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))`

Compiler

Compiled 15 to 13 computations (13.3% saved)

bsearch13.0ms (0.2%)

Memory

22.0MiB live, 22.0MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
11.0ms	1.4974418719619363e+73	7.61328435323039e+77

Samples

6.0ms

128×

valid

Compiler

Compiled 715 to 315 computations (55.9% saved)

Precisions

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

ival-exp: 2.0ms (51.7% of total)

ival-div: 1.0ms (25.8% of total)

ival-add: 1.0ms (25.8% of total)

ival-neg: 1.0ms (25.8% of total)

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

exact: 0.0ms (0% of total)

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

simplify54.0ms (1%)

Memory

-49.4MiB live, 43.9MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	59	207
1	103	204
2	213	204
3	520	204
4	1826	200
5	6614	200

Stop Event

1×	node limit

Calls

Call 1

Inputs
(/.f64 #s(literal 1 binary64) (cosh.f64 x))
(if (<=.f64 x #s(literal 250000000000000002123405358422425744037217481149690153973749775675699226476544 binary64)) (/.f64 #s(literal 1 binary64) #s(approx (cosh x) (/.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 (neg.f64 (.f64 #s(approx (+ ( 1/24 (* x x)) 1/2) (.f64 #s(literal 1/24 binary64) (.f64 x x))) x)) x) (.f64 (neg.f64 (.f64 #s(approx (+ (* 1/24 (* x x)) 1/2) (.f64 #s(literal 1/24 binary64) (.f64 x x))) x)) x))) (+.f64 #s(literal 1 binary64) (.f64 (neg.f64 (.f64 #s(approx (+ (* 1/24 (* x x)) 1/2) (.f64 #s(literal 1/24 binary64) (.f64 x x))) x)) 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)))))
(/.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 #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))
(pow.f64 (cosh.f64 x) #s(literal -1 binary64))
(if (<=.f64 x #s(literal 250000000000000002123405358422425744037217481149690153973749775675699226476544 binary64)) (/.f64 #s(literal 1 binary64) #s(approx (cosh x) (/.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 (neg.f64 (.f64 #s(approx (+ ( 1/24 (* x x)) 1/2) (.f64 #s(literal 1/24 binary64) (.f64 x x))) x)) x) (.f64 (neg.f64 (.f64 #s(approx (+ (* 1/24 (* x x)) 1/2) (.f64 #s(literal 1/24 binary64) (.f64 x x))) x)) x))) (+.f64 #s(literal 1 binary64) (.f64 (neg.f64 (.f64 #s(approx (+ (* 1/24 (* x x)) 1/2) (.f64 #s(literal 1/24 binary64) (.f64 x x))) x)) 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)))))
(if (<=.f64 x #s(literal 250000000000000002123405358422425744037217481149690153973749775675699226476544 binary64)) (pow.f64 #s(approx (cosh x) (/.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 #s(approx (+ ( 1/24 (* x x)) 1/2) (.f64 #s(literal 1/24 binary64) (.f64 x x))) x) x) (.f64 (.f64 #s(approx (+ (* 1/24 (* x x)) 1/2) (.f64 #s(literal 1/24 binary64) (.f64 x x))) x) x))) (-.f64 #s(literal 1 binary64) (.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)) (pow.f64 #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)))
(/.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))))
(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) #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))))
(pow.f64 #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))) #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))))
(pow.f64 #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))) #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))))
(pow.f64 #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))
(/.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))

soundness940.0ms (17.9%)

Memory

27.0MiB live, 534.6MiB allocated

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	155	612
1	499	606
2	1543	584
3	6501	584
0	8602	544
0	45	280
0	75	278
1	292	260
2	2225	260
0	8497	260
0	7	19
0	12	15
1	41	13
2	278	13
0	3360	13
0	66	165
1	213	164
2	639	160
3	2334	160
4	5806	160
0	8044	142
0	78	238
1	242	238
2	759	234
3	3206	230
0	8107	208
0	40	405
0	74	396
1	306	396
2	1567	396
0	8279	396

Stop Event

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

Compiler

Compiled 471 to 249 computations (47.1% saved)

preprocess88.0ms (1.7%)

Memory: 6.2MiB live, 87.4MiB allocated
Remove: (abs x)
Compiler: Compiled 472 to 188 computations (60.2% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze0.0ms (0%)

sample811.0ms (15.4%)

explain144.0ms (2.7%)

preprocess147.0ms (2.8%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify212.0ms (4%)

localize31.0ms (0.6%)

series2.0ms (0%)

simplify134.0ms (2.6%)

rewrite109.0ms (2.1%)

eval53.0ms (1%)

prune7.0ms (0.1%)

simplify126.0ms (2.4%)

localize86.0ms (1.6%)

series8.0ms (0.1%)

simplify202.0ms (3.8%)

rewrite61.0ms (1.2%)

eval98.0ms (1.9%)

prune34.0ms (0.6%)

simplify164.0ms (3.1%)

localize329.0ms (6.3%)

series15.0ms (0.3%)

simplify152.0ms (2.9%)

rewrite247.0ms (4.7%)

eval108.0ms (2.1%)

prune19.0ms (0.4%)

simplify139.0ms (2.6%)

localize101.0ms (1.9%)

series11.0ms (0.2%)

simplify168.0ms (3.2%)

rewrite208.0ms (4%)

eval76.0ms (1.4%)

prune26.0ms (0.5%)

regimes25.0ms (0.5%)

regimes17.0ms (0.3%)

regimes45.0ms (0.9%)

regimes15.0ms (0.3%)

regimes14.0ms (0.3%)

regimes8.0ms (0.1%)

regimes7.0ms (0.1%)

regimes4.0ms (0.1%)

bsearch13.0ms (0.2%)

simplify54.0ms (1%)

soundness940.0ms (17.9%)

preprocess88.0ms (1.7%)

end0.0ms (0%)

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