Metrics for Hyperbolic secant

start0.0ms (0%)

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

analyze0.0ms (0%)

Memory

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

Algorithm

1×

Search

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

Compiler

Compiled 10 to 9 computations (10% saved)

sample911.0ms (18.9%)

Memory

27.0MiB live, 818.9MiB allocated; 166ms collecting garbage

Samples

494.0ms

8 256×

valid

Precisions

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

ival-exp: 157.0ms (44.3% of total)

ival-neg: 87.0ms (24.5% of total)

ival-div: 53.0ms (14.9% of total)

ival-add: 42.0ms (11.8% of total)

ival-true: 6.0ms (1.7% of total)

exact: 5.0ms (1.4% of total)

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

adjust: 2.0ms (0.6% of total)

Bogosity

explain127.0ms (2.6%)

Memory

-19.2MiB live, 73.4MiB allocated; 8ms collecting garbage

FPErrors

Click to see full error table

Overpredictions	Example	Example	Subexpression
0	-	-	`(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))`
0	-	-	`#s(literal 2 binary64)`
0	-	-	`(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))`
0	-	-	`(exp.f64 x)`
1	(586.142748958747)	-	`(exp.f64 (neg.f64 x))`
0	-	-	`(neg.f64 x)`
0	-	-	`x`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`exp.f64`	`(exp.f64 (neg.f64 x))`	sensitivity	1	0

Confusion

	Predicted +	Predicted -
+	0	0
-	1	255

Precision

0.0

Recall

0/0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	0	0	0
-	1	0	255

Precision?

0.0

Recall?

0/0

Freqs

test

number	freq
0	255
1	1

Total Confusion?

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

Precision?

0.0

Recall?

0/0

Samples

27.0ms

512×

valid

Compiler

Compiled 58 to 25 computations (56.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 16.0ms

ival-exp: 7.0ms (44.1% of total)

ival-div: 3.0ms (18.9% of total)

ival-add: 2.0ms (12.6% of total)

ival-neg: 2.0ms (12.6% of total)

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

adjust: 0.0ms (0% of total)

exact: 0.0ms (0% of total)

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

preprocess150.0ms (3.1%)

Memory

23.6MiB live, 86.4MiB allocated; 30ms collecting garbage

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; 0ms collecting garbage
Compiler: Compiled 0 to 1 computations (-∞% saved)

prune0.0ms (0%)

Memory

0.5MiB live, 0.5MiB allocated; 0ms collecting garbage

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)

simplify112.0ms (2.3%)

Memory

-19.4MiB live, 74.1MiB allocated; 6ms collecting garbage

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)

localize21.0ms (0.4%)

Memory

-12.9MiB live, 33.1MiB allocated; 3ms collecting garbage

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.0	(exp.f64 (neg.f64 x))
accuracy	0.0	(exp.f64 x)
accuracy	0.0078125	(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
accuracy	0.01171875	(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))

Samples

15.0ms

256×

valid

Compiler

Compiled 25 to 9 computations (64% saved)

Precisions

Click to see histograms. Total time spent on operations: 8.0ms

ival-exp: 4.0ms (51.6% of total)

ival-div: 2.0ms (25.8% of total)

ival-add: 1.0ms (12.9% of total)

ival-neg: 1.0ms (12.9% of total)

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

adjust: 0.0ms (0% of total)

exact: 0.0ms (0% of total)

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

series2.0ms (0.1%)

Memory

3.7MiB live, 3.7MiB allocated; 0ms collecting garbage

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)))

simplify136.0ms (2.8%)

Memory

18.1MiB live, 199.5MiB allocated; 31ms collecting garbage

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))

rewrite162.0ms (3.4%)

Memory

12.6MiB live, 111.3MiB allocated; 23ms collecting garbage

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))))
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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)))

eval28.0ms (0.6%)

Memory: 6.3MiB live, 49.4MiB allocated; 9ms collecting garbage
Compiler: Compiled 5 938 to 931 computations (84.3% saved)

prune10.0ms (0.2%)

Memory

-26.1MiB live, 18.5MiB allocated; 5ms collecting garbage

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	250	6	256
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	251	6	257

Accuracy

100.0%

Counts

257 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	73.7%	(/.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))
	47.6%	#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)))
▶	48.0%	#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)))
▶	47.8%	#s(approx (/ 2 (+ (exp x) (exp (neg x)))) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64)))
▶	48.0%	#s(approx (/ 2 (+ (exp x) (exp (neg x)))) #s(literal 1 binary64))

Compiler

Compiled 178 to 136 computations (23.6% saved)

simplify139.0ms (2.9%)

Memory

0.9MiB live, 102.7MiB allocated; 34ms collecting garbage

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)

localize53.0ms (1.1%)

Memory

28.1MiB live, 72.7MiB allocated; 5ms collecting garbage

Localize:

Found 13 expressions of interest:

New	Metric	Score
accuracy	0.0	(*.f64 x x)
accuracy	0.0546875	(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	33.298570339876406	#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	0.0078125	(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 x x #s(literal 2 binary64))))
accuracy	16.789515824543543	#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	33.39069195368173	#s(approx (/ 2 (+ (exp x) (exp (neg x)))) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64)))
accuracy	33.2633437764733	#s(approx (/ 2 (+ (exp x) (exp (neg x)))) #s(literal 1 binary64))
accuracy	0.0	(cosh.f64 x)
accuracy	0.0078125	(/.f64 #s(literal 1 binary64) (cosh.f64 x))

Samples

41.0ms

256×

valid

Compiler

Compiled 101 to 23 computations (77.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 30.0ms

ival-exp: 6.0ms (20.2% of total)

ival-mult: 6.0ms (20.2% of total)

ival-add: 4.0ms (13.4% of total)

const: 4.0ms (13.4% of total)

ival-div: 3.0ms (10.1% of total)

ival-cosh: 3.0ms (10.1% of total)

ival-sub: 1.0ms (3.4% of total)

ival-neg: 1.0ms (3.4% of total)

adjust: 0.0ms (0% of total)

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

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

exact: 0.0ms (0% of total)

series7.0ms (0.2%)

Memory

10.8MiB live, 10.8MiB allocated; 0ms collecting garbage

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)))

simplify209.0ms (4.3%)

Memory

-20.4MiB live, 143.0MiB allocated; 111ms collecting garbage

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))

rewrite64.0ms (1.3%)

Memory

-10.7MiB live, 79.6MiB allocated; 8ms collecting garbage

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))

eval64.0ms (1.3%)

Memory: -1.4MiB live, 54.9MiB allocated; 5ms collecting garbage
Compiler: Compiled 3 874 to 638 computations (83.5% saved)

prune10.0ms (0.2%)

Memory

-25.8MiB live, 20.0MiB allocated; 4ms collecting garbage

Pruning

9 alts after pruning (5 fresh and 4 done)

	Pruned	Kept	Total
New	182	5	187
Fresh	1	0	1
Picked	1	4	5
Done	0	0	0
Total	184	9	193

Accuracy

100.0%

Counts

193 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	73.7%	(/.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))
▶	91.7%	(/.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))))
▶	86.9%	(/.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))))
▶	100.0%	(*.f64 (pow.f64 (cosh.f64 x) #s(literal -1/2 binary64)) (pow.f64 (cosh.f64 x) #s(literal -1/2 binary64)))
✓	47.8%	#s(approx (/ 2 (+ (exp x) (exp (neg x)))) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64)))
▶	48.0%	#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)))
✓	48.0%	#s(approx (/ 2 (+ (exp x) (exp (neg x)))) #s(literal 1 binary64))
▶	47.6%	#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 232 to 158 computations (31.9% saved)

simplify132.0ms (2.7%)

Memory

7.6MiB live, 98.5MiB allocated; 6ms collecting garbage

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

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

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	41	292
0	66	287
1	124	287
2	384	283
3	1681	283
4	6486	283
0	8328	283

Stop Event

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

Calls

Call 1

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

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

localize131.0ms (2.7%)

Memory

-2.2MiB live, 140.3MiB allocated; 16ms collecting garbage

Localize:

Found 19 expressions of interest:

New	Metric	Score
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	0.07421875	(fma.f64 #s(literal 5/24 binary64) (*.f64 x x) #s(literal -1/2 binary64))
accuracy	16.288928328963404	(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	33.29178259676103	#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	0.015625	(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	0.0234375	(fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (.f64 x x) #s(literal 1/24 binary64)) (.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))
accuracy	0.109375	(fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64))
accuracy	5.319835099745492	#s(approx (cosh x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (.f64 x x) #s(literal 1/24 binary64)) (.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))
accuracy	0.0078125	(/.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	0.05078125	(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	0.09375	(fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64))
accuracy	8.407852581347488	#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	0.0546875	(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	0.07421875	(fma.f64 #s(literal 5/24 binary64) (*.f64 x x) #s(literal -1/2 binary64))
accuracy	33.298570339876406	#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	0.0	(cosh.f64 x)
accuracy	0.00390625	(pow.f64 (cosh.f64 x) #s(literal -1/2 binary64))
accuracy	0.01171875	(*.f64 (pow.f64 (cosh.f64 x) #s(literal -1/2 binary64)) (pow.f64 (cosh.f64 x) #s(literal -1/2 binary64)))

Samples

106.0ms

256×

valid

Compiler

Compiled 202 to 42 computations (79.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 89.0ms

ival-add: 31.0ms (34.7% of total)

ival-mult: 15.0ms (16.8% of total)

const: 12.0ms (13.4% of total)

ival-pow: 12.0ms (13.4% of total)

ival-exp: 9.0ms (10.1% of total)

ival-cosh: 4.0ms (4.5% of total)

ival-div: 3.0ms (3.4% of total)

ival-sub: 1.0ms (1.1% of total)

exact: 1.0ms (1.1% of total)

ival-neg: 1.0ms (1.1% of total)

adjust: 0.0ms (0% of total)

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

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

series11.0ms (0.2%)

Memory

10.1MiB live, 10.1MiB allocated; 0ms collecting garbage

Counts

20 → 50

Calls

Call 1

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

4.0ms

inf

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

3.0ms

-inf

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

3.0ms

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

simplify120.0ms (2.5%)

Memory

-1.6MiB live, 94.8MiB allocated; 14ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	120	495
1	350	495
2	959	479
3	3519	479
0	8310	449

Stop Event

1×	iter limit
1×	node limit

Counts

50 → 50

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 (* -1/4 (pow x 2)))
(+ 1 (* (pow x 2) (- (* 7/96 (pow x 2)) 1/4)))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 7/96 (* -139/5760 (pow x 2)))) 1/4)))
(+ 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
(- (* 5/24 (pow x 2)) 1/2)
1/2
(+ 1/2 (* 1/24 (pow x 2)))
(+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))
(- (* (pow x 2) (+ 5/24 (* -61/720 (pow x 2)))) 1/2)
(pow x 4)
1/24
(+ 1/24 (* 1/720 (pow x 2)))
(/ 2 (+ (exp x) (/ 1 (exp x))))
(* (sqrt 2) (sqrt (/ 1 (+ (exp x) (/ 1 (exp x))))))
(* 1/2 (+ (exp x) (/ 1 (exp x))))
(/ 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)))))
(* 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))))))
(* -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)))))
(* 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 (* -1/4 (pow x 2)))
(fma.f64 #s(literal -1/4 binary64) (*.f64 x x) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (- (* 7/96 (pow x 2)) 1/4)))
(fma.f64 (-.f64 (.f64 #s(literal 7/96 binary64) (.f64 x x)) #s(literal 1/4 binary64)) (*.f64 x x) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 7/96 (* -139/5760 (pow x 2)))) 1/4)))
(fma.f64 (fma.f64 (.f64 #s(literal 7/96 binary64) x) x (-.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -139/5760 binary64)) #s(literal 1/4 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)
(- (* 5/24 (pow x 2)) 1/2)
(fma.f64 (*.f64 x x) #s(literal 5/24 binary64) #s(literal -1/2 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))
(- (* (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))
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)))
(* (sqrt 2) (sqrt (/ 1 (+ (exp x) (/ 1 (exp x))))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)))) (sqrt.f64 #s(literal 2 binary64)))
(* 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)))
(* 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 #s(literal 1/2 binary64) (.f64 x x))) (pow.f64 x #s(literal 4 binary64)))
(* (pow x 4) (- (+ 5/24 (/ 1 (pow x 4))) (* 1/2 (/ 1 (pow x 2)))))
(fma.f64 (-.f64 #s(literal 5/24 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))) (pow.f64 x #s(literal 4 binary64)) #s(literal 1 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 #s(literal 1/2 binary64) (.f64 x x)) #s(literal 1/24 binary64)) (pow.f64 x #s(literal 4 binary64)))
(* (pow x 4) (+ 1/24 (+ (* 1/2 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))
(fma.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) #s(literal 1/24 binary64)) (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64))
(* 1/24 (pow x 2))
(.f64 #s(literal 1/24 binary64) (.f64 x x))
(* (pow x 2) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))
(fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64))
(* 1/720 (pow x 6))
(*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/720 binary64))
(* (pow x 6) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))
(.f64 (+.f64 (/.f64 #s(literal 1/24 binary64) (.f64 x x)) #s(literal 1/720 binary64)) (pow.f64 x #s(literal 6 binary64)))
(* (pow x 6) (+ 1/720 (+ (/ 1/2 (pow x 4)) (* 1/24 (/ 1 (pow x 2))))))
(.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/720 binary64)) (/.f64 #s(literal -1/24 binary64) (.f64 x x))) (pow.f64 x #s(literal 6 binary64)))
(* (pow x 6) (+ 1/720 (+ (/ 1/2 (pow x 4)) (+ (* 1/24 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))
(fma.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/720 binary64)) (/.f64 #s(literal -1/24 binary64) (*.f64 x x))) (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64))
(* 1/720 (pow x 4))
(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/720 binary64))
(* (pow x 4) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))
(.f64 (+.f64 (/.f64 #s(literal 1/24 binary64) (.f64 x x)) #s(literal 1/720 binary64)) (pow.f64 x #s(literal 4 binary64)))
(* (pow x 4) (+ 1/720 (+ (/ 1/2 (pow x 4)) (* 1/24 (/ 1 (pow x 2))))))
(.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/720 binary64)) (/.f64 #s(literal -1/24 binary64) (.f64 x x))) (pow.f64 x #s(literal 4 binary64)))
(* -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)))))
(fma.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)) #s(literal 1 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)))
(* 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)))

rewrite258.0ms (5.4%)

Memory

1.2MiB live, 279.6MiB allocated; 37ms collecting garbage

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	41	253
0	66	246
1	281	244
2	2080	244
0	8831	244

Stop Event

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

Counts

20 → 520

Calls

Call 1

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

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

eval108.0ms (2.2%)

Memory: 19.2MiB live, 120.3MiB allocated; 13ms collecting garbage
Compiler: Compiled 23 337 to 2 628 computations (88.7% saved)

prune23.0ms (0.5%)

Memory

-1.7MiB live, 42.7MiB allocated; 5ms collecting garbage

Pruning

13 alts after pruning (8 fresh and 5 done)

	Pruned	Kept	Total
New	677	8	685
Fresh	0	0	0
Picked	4	1	5
Done	0	4	4
Total	681	13	694

Accuracy

100.0%

Counts

694 → 13

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(pow.f64 (pow.f64 (cosh.f64 x) #s(literal -1/2 binary64)) #s(literal 2 binary64))
✓	73.7%	(/.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))
▶	91.7%	(/.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))))
	91.7%	(/.f64 #s(literal 1 binary64) #s(approx (cosh x) (fma.f64 (fma.f64 (.f64 (fma.f64 #s(literal 1/720 binary64) (.f64 x x) #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))))
▶	86.9%	(/.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))))
▶	91.4%	(/.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))))
	86.9%	(/.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))))
▶	86.1%	(/.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))))
✓	47.8%	#s(approx (/ 2 (+ (exp x) (exp (neg x)))) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64)))
✓	48.0%	#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)))
✓	48.0%	#s(approx (/ 2 (+ (exp x) (exp (neg x)))) #s(literal 1 binary64))
	47.6%	#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 382 to 254 computations (33.5% saved)

simplify223.0ms (4.6%)

Memory

6.4MiB live, 151.4MiB allocated; 17ms collecting garbage

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

New	Metric	Score
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	(cosh.f64 x)
cost-diff	0	(pow.f64 (cosh.f64 x) #s(literal -1/2 binary64))
cost-diff	2	(pow.f64 (pow.f64 (cosh.f64 x) #s(literal -1/2 binary64)) #s(literal 2 binary64))

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	39	362
0	68	353
1	114	351
2	324	351
3	1276	351
4	4221	351
0	8178	351

Stop Event

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

Calls

Call 1

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

localize111.0ms (2.3%)

Memory

9.2MiB live, 141.0MiB allocated; 13ms collecting garbage

Localize:

Found 19 expressions of interest:

New	Metric	Score
accuracy	0.0234375	(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	0.1015625	(fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal 1/24 binary64))
accuracy	0.21875	(*.f64 #s(literal 1/720 binary64) x)
accuracy	5.319835099745492	#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	0.0234375	(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	0.171875	(.f64 #s(literal 1/720 binary64) (.f64 x x))
accuracy	5.319835099745492	#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	29.301228826394734	#s(approx (+ (* 1/720 (* x x)) 1/24) (.f64 #s(literal 1/720 binary64) (.f64 x x)))
accuracy	0.05078125	(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	0.06640625	(fma.f64 (*.f64 #s(literal 1/24 binary64) x) x #s(literal 1/2 binary64))
accuracy	0.35546875	(*.f64 #s(literal 1/24 binary64) x)
accuracy	8.407852581347488	#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	0.05078125	(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	0.19140625	(.f64 #s(literal 1/24 binary64) (.f64 x x))
accuracy	8.407852581347488	#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	29.282790258770447	#s(approx (+ (* 1/24 (* x x)) 1/2) (.f64 #s(literal 1/24 binary64) (.f64 x x)))
accuracy	0.0	(cosh.f64 x)
accuracy	0.00390625	(pow.f64 (cosh.f64 x) #s(literal -1/2 binary64))
accuracy	0.01171875	(pow.f64 (pow.f64 (cosh.f64 x) #s(literal -1/2 binary64)) #s(literal 2 binary64))

Samples

83.0ms

256×

valid

Compiler

Compiled 203 to 36 computations (82.3% saved)

Precisions

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

ival-mult: 20.0ms (37% of total)

ival-add: 11.0ms (20.3% of total)

ival-pow: 9.0ms (16.6% of total)

const: 6.0ms (11.1% of total)

ival-cosh: 3.0ms (5.5% of total)

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

ival-pow2: 2.0ms (3.7% of total)

exact: 1.0ms (1.8% of total)

adjust: 0.0ms (0% of total)

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

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

series8.0ms (0.2%)

Memory

16.2MiB live, 16.2MiB allocated; 0ms collecting garbage

Counts

25 → 34

Calls

Call 1

Inputs
(pow.f64 (pow.f64 (cosh.f64 x) #s(literal -1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (cosh.f64 x) #s(literal -1/2 binary64))
(cosh.f64 x)
(/.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))
(.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 (* -1/4 (pow x 2)))
(+ 1 (* (pow x 2) (- (* 7/96 (pow x 2)) 1/4)))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 7/96 (* -139/5760 (pow x 2)))) 1/4)))
(+ 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)))))
(* 1/24 (pow x 2))
(* 1/24 x)
1/24
(+ 1/24 (* 1/720 (pow x 2)))
(* 1/720 (pow x 2))
(* 1/720 x)
(/ 2 (+ (exp x) (/ 1 (exp x))))
(* (sqrt 2) (sqrt (/ 1 (+ (exp x) (/ 1 (exp x))))))
(* 1/2 (+ (exp x) (/ 1 (exp x))))
(* 1/24 (pow x 4))
(* (pow x 4) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 1/24 (+ (* 1/2 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))
(* (pow x 2) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))
(* 1/720 (pow x 6))
(* (pow x 6) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))
(* (pow x 6) (+ 1/720 (+ (/ 1/2 (pow x 4)) (* 1/24 (/ 1 (pow x 2))))))
(* (pow x 6) (+ 1/720 (+ (/ 1/2 (pow x 4)) (+ (* 1/24 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))
(* 1/720 (pow x 4))
(* (pow x 4) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 1/720 (+ (/ 1/2 (pow x 4)) (* 1/24 (/ 1 (pow x 2))))))
(* (pow x 2) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))

Calls

3 calls:

Time

Variable

Point

Expression

3.0ms

-inf

((pow (pow (cosh x) -1/2) 2) (pow (cosh x) -1/2) (cosh 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) (* 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

((pow (pow (cosh x) -1/2) 2) (pow (cosh x) -1/2) (cosh 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) (* 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))

1.0ms

((pow (pow (cosh x) -1/2) 2) (pow (cosh x) -1/2) (cosh 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) (* 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))

simplify118.0ms (2.5%)

Memory

-5.5MiB live, 182.1MiB allocated; 23ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	92	327
1	289	327
2	818	319
3	3069	319
0	8255	297

Stop Event

1×	iter limit
1×	node limit

Counts

34 → 34

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 (* -1/4 (pow x 2)))
(+ 1 (* (pow x 2) (- (* 7/96 (pow x 2)) 1/4)))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 7/96 (* -139/5760 (pow x 2)))) 1/4)))
(+ 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)))))
(* 1/24 (pow x 2))
(* 1/24 x)
1/24
(+ 1/24 (* 1/720 (pow x 2)))
(* 1/720 (pow x 2))
(* 1/720 x)
(/ 2 (+ (exp x) (/ 1 (exp x))))
(* (sqrt 2) (sqrt (/ 1 (+ (exp x) (/ 1 (exp x))))))
(* 1/2 (+ (exp x) (/ 1 (exp x))))
(* 1/24 (pow x 4))
(* (pow x 4) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 1/24 (+ (* 1/2 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))
(* (pow x 2) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))
(* 1/720 (pow x 6))
(* (pow x 6) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))
(* (pow x 6) (+ 1/720 (+ (/ 1/2 (pow x 4)) (* 1/24 (/ 1 (pow x 2))))))
(* (pow x 6) (+ 1/720 (+ (/ 1/2 (pow x 4)) (+ (* 1/24 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))
(* 1/720 (pow x 4))
(* (pow x 4) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 1/720 (+ (/ 1/2 (pow x 4)) (* 1/24 (/ 1 (pow x 2))))))
(* (pow x 2) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))

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 (* -1/4 (pow x 2)))
(fma.f64 #s(literal -1/4 binary64) (*.f64 x x) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (- (* 7/96 (pow x 2)) 1/4)))
(fma.f64 (-.f64 (.f64 #s(literal 7/96 binary64) (.f64 x x)) #s(literal 1/4 binary64)) (*.f64 x x) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 7/96 (* -139/5760 (pow x 2)))) 1/4)))
(fma.f64 (fma.f64 (.f64 #s(literal 7/96 binary64) x) x (-.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -139/5760 binary64)) #s(literal 1/4 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
#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 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/24 binary64))
(* 1/24 x)
(*.f64 #s(literal 1/24 binary64) x)
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))
(* 1/720 (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)))
(* (sqrt 2) (sqrt (/ 1 (+ (exp x) (/ 1 (exp x))))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)))) (sqrt.f64 #s(literal 2 binary64)))
(* 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)))
(* 1/24 (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 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)))
(* (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))

rewrite234.0ms (4.8%)

Memory

-40.3MiB live, 256.7MiB allocated; 31ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	39	331
0	68	320
1	263	320
2	1568	320
0	8403	320

Stop Event

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

Counts

25 → 506

Calls

Call 1

Inputs
(pow.f64 (pow.f64 (cosh.f64 x) #s(literal -1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (cosh.f64 x) #s(literal -1/2 binary64))
(cosh.f64 x)
(/.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))
(.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 (neg.f64 (pow.f64 (cosh.f64 x) #s(literal -1/2 binary64)))) (neg.f64 (neg.f64 (pow.f64 (cosh.f64 x) #s(literal -1/2 binary64)))))
(*.f64 (pow.f64 (neg.f64 (pow.f64 (cosh.f64 x) #s(literal -1/2 binary64))) #s(literal 1 binary64)) (pow.f64 (neg.f64 (pow.f64 (cosh.f64 x) #s(literal -1/2 binary64))) #s(literal 1 binary64)))
(*.f64 (pow.f64 (pow.f64 (cosh.f64 x) #s(literal -3/4 binary64)) #s(literal 1 binary64)) (pow.f64 (cosh.f64 x) #s(literal -1/4 binary64)))
(*.f64 (pow.f64 (cosh.f64 x) #s(literal -3/4 binary64)) (pow.f64 (cosh.f64 x) #s(literal -1/4 binary64)))
(*.f64 (neg.f64 (pow.f64 (cosh.f64 x) #s(literal -1/2 binary64))) (neg.f64 (pow.f64 (cosh.f64 x) #s(literal -1/2 binary64))))
(*.f64 (pow.f64 (cosh.f64 x) #s(literal -1/4 binary64)) (pow.f64 (pow.f64 (cosh.f64 x) #s(literal -3/4 binary64)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (cosh.f64 x) #s(literal -1/4 binary64)) (pow.f64 (cosh.f64 x) #s(literal -3/4 binary64)))
(*.f64 (pow.f64 (cosh.f64 x) #s(literal -1/2 binary64)) (pow.f64 (cosh.f64 x) #s(literal -1/2 binary64)))
(pow.f64 (exp.f64 #s(literal 2 binary64)) (*.f64 (log.f64 (cosh.f64 x)) #s(literal -1/2 binary64)))
(pow.f64 (*.f64 (pow.f64 (cosh.f64 x) #s(literal 2 binary64)) (pow.f64 (cosh.f64 x) #s(literal 2 binary64))) #s(literal -1/4 binary64))
(pow.f64 (neg.f64 (pow.f64 (cosh.f64 x) #s(literal -1/2 binary64))) #s(literal 2 binary64))
(pow.f64 (pow.f64 (cosh.f64 x) #s(literal 2 binary64)) #s(literal -1/2 binary64))
(pow.f64 (pow.f64 (cosh.f64 x) #s(literal -1/4 binary64)) #s(literal 4 binary64))
(pow.f64 (cosh.f64 x) #s(literal -1 binary64))
(pow.f64 (pow.f64 (cosh.f64 x) #s(literal -1 binary64)) #s(literal 1 binary64))
(pow.f64 (pow.f64 (cosh.f64 x) #s(literal -1/2 binary64)) #s(literal 2 binary64))
(/.f64 (-.f64 (.f64 (cosh.f64 (log.f64 (pow.f64 (cosh.f64 x) #s(literal -1 binary64)))) (cosh.f64 (log.f64 (pow.f64 (cosh.f64 x) #s(literal -1 binary64))))) (.f64 (sinh.f64 (log.f64 (pow.f64 (cosh.f64 x) #s(literal -1 binary64)))) (sinh.f64 (log.f64 (pow.f64 (cosh.f64 x) #s(literal -1 binary64)))))) (-.f64 (cosh.f64 (log.f64 (pow.f64 (cosh.f64 x) #s(literal -1 binary64)))) (sinh.f64 (log.f64 (pow.f64 (cosh.f64 x) #s(literal -1 binary64))))))
(/.f64 (+.f64 (pow.f64 (cosh.f64 (log.f64 (pow.f64 (cosh.f64 x) #s(literal -1 binary64)))) #s(literal 3 binary64)) (pow.f64 (sinh.f64 (log.f64 (pow.f64 (cosh.f64 x) #s(literal -1 binary64)))) #s(literal 3 binary64))) (fma.f64 (cosh.f64 (log.f64 (pow.f64 (cosh.f64 x) #s(literal -1 binary64)))) (cosh.f64 (log.f64 (pow.f64 (cosh.f64 x) #s(literal -1 binary64)))) (-.f64 (.f64 (sinh.f64 (log.f64 (pow.f64 (cosh.f64 x) #s(literal -1 binary64)))) (sinh.f64 (log.f64 (pow.f64 (cosh.f64 x) #s(literal -1 binary64))))) (.f64 (cosh.f64 (log.f64 (pow.f64 (cosh.f64 x) #s(literal -1 binary64)))) (sinh.f64 (log.f64 (pow.f64 (cosh.f64 x) #s(literal -1 binary64))))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (cosh.f64 x)))
(/.f64 #s(literal 1 binary64) (cosh.f64 x))
(fabs.f64 (pow.f64 (cosh.f64 x) #s(literal -1 binary64)))
(exp.f64 (.f64 (.f64 (log.f64 (cosh.f64 x)) #s(literal -1 binary64)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (cosh.f64 x) #s(literal 2 binary64))) #s(literal -1/2 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (cosh.f64 x) #s(literal -1 binary64))) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (cosh.f64 x)) #s(literal -1 binary64)))
(exp.f64 (log.f64 (pow.f64 (cosh.f64 x) #s(literal -1 binary64))))
(+.f64 (cosh.f64 (.f64 (log.f64 (cosh.f64 x)) #s(literal -1 binary64))) (sinh.f64 (.f64 (log.f64 (cosh.f64 x)) #s(literal -1 binary64))))
(+.f64 (cosh.f64 (log.f64 (pow.f64 (cosh.f64 x) #s(literal -1 binary64)))) (sinh.f64 (log.f64 (pow.f64 (cosh.f64 x) #s(literal -1 binary64)))))
(*.f64 (neg.f64 (neg.f64 (pow.f64 (cosh.f64 x) #s(literal -1/4 binary64)))) (neg.f64 (neg.f64 (pow.f64 (cosh.f64 x) #s(literal -1/4 binary64)))))
(*.f64 (pow.f64 (neg.f64 (pow.f64 (cosh.f64 x) #s(literal -1/4 binary64))) #s(literal 1 binary64)) (pow.f64 (neg.f64 (pow.f64 (cosh.f64 x) #s(literal -1/4 binary64))) #s(literal 1 binary64)))
(*.f64 (neg.f64 (pow.f64 (cosh.f64 x) #s(literal -1/4 binary64))) (neg.f64 (pow.f64 (cosh.f64 x) #s(literal -1/4 binary64))))
(*.f64 (pow.f64 (cosh.f64 x) #s(literal -1/4 binary64)) (pow.f64 (cosh.f64 x) #s(literal -1/4 binary64)))
(pow.f64 (exp.f64 #s(literal -1/2 binary64)) (log.f64 (cosh.f64 x)))
(pow.f64 (neg.f64 (pow.f64 (cosh.f64 x) #s(literal -1/4 binary64))) #s(literal 2 binary64))
(pow.f64 (pow.f64 (cosh.f64 x) #s(literal 2 binary64)) #s(literal -1/4 binary64))
(pow.f64 (pow.f64 (cosh.f64 x) #s(literal -1/4 binary64)) #s(literal 2 binary64))
(pow.f64 (cosh.f64 x) #s(literal -1/2 binary64))
(pow.f64 (pow.f64 (cosh.f64 x) #s(literal -1 binary64)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (cosh.f64 x) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(/.f64 (-.f64 (.f64 (cosh.f64 (.f64 (log.f64 (cosh.f64 x)) #s(literal -1/2 binary64))) (cosh.f64 (.f64 (log.f64 (cosh.f64 x)) #s(literal -1/2 binary64)))) (.f64 (sinh.f64 (.f64 (log.f64 (cosh.f64 x)) #s(literal -1/2 binary64))) (sinh.f64 (.f64 (log.f64 (cosh.f64 x)) #s(literal -1/2 binary64))))) (-.f64 (cosh.f64 (.f64 (log.f64 (cosh.f64 x)) #s(literal -1/2 binary64))) (sinh.f64 (.f64 (log.f64 (cosh.f64 x)) #s(literal -1/2 binary64)))))
(/.f64 (+.f64 (pow.f64 (cosh.f64 (.f64 (log.f64 (cosh.f64 x)) #s(literal -1/2 binary64))) #s(literal 3 binary64)) (pow.f64 (sinh.f64 (.f64 (log.f64 (cosh.f64 x)) #s(literal -1/2 binary64))) #s(literal 3 binary64))) (fma.f64 (cosh.f64 (.f64 (log.f64 (cosh.f64 x)) #s(literal -1/2 binary64))) (cosh.f64 (.f64 (log.f64 (cosh.f64 x)) #s(literal -1/2 binary64))) (-.f64 (.f64 (sinh.f64 (.f64 (log.f64 (cosh.f64 x)) #s(literal -1/2 binary64))) (sinh.f64 (.f64 (log.f64 (cosh.f64 x)) #s(literal -1/2 binary64)))) (.f64 (cosh.f64 (.f64 (log.f64 (cosh.f64 x)) #s(literal -1/2 binary64))) (sinh.f64 (.f64 (log.f64 (cosh.f64 x)) #s(literal -1/2 binary64)))))))
(sqrt.f64 (pow.f64 (cosh.f64 x) #s(literal -1 binary64)))
(fabs.f64 (neg.f64 (pow.f64 (cosh.f64 x) #s(literal -1/2 binary64))))
(fabs.f64 (pow.f64 (cosh.f64 x) #s(literal -1/2 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (cosh.f64 x) #s(literal -1/4 binary64))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (cosh.f64 x) #s(literal 2 binary64))) #s(literal -1/4 binary64)))
(exp.f64 (*.f64 (log.f64 (cosh.f64 x)) #s(literal -1/2 binary64)))
(+.f64 (cosh.f64 (.f64 (log.f64 (cosh.f64 x)) #s(literal -1/2 binary64))) (sinh.f64 (.f64 (log.f64 (cosh.f64 x)) #s(literal -1/2 binary64))))
(/.f64 (-.f64 (.f64 (/.f64 (exp.f64 x) #s(literal 2 binary64)) (/.f64 (exp.f64 x) #s(literal 2 binary64))) (.f64 (/.f64 (exp.f64 (neg.f64 x)) #s(literal 2 binary64)) (/.f64 (exp.f64 (neg.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))))
(/.f64 (+.f64 (pow.f64 (/.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (/.f64 (exp.f64 (neg.f64 x)) #s(literal 2 binary64)) #s(literal 3 binary64))) (fma.f64 (/.f64 (exp.f64 x) #s(literal 2 binary64)) (/.f64 (exp.f64 x) #s(literal 2 binary64)) (-.f64 (.f64 (/.f64 (exp.f64 (neg.f64 x)) #s(literal 2 binary64)) (/.f64 (exp.f64 (neg.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))))))
(/.f64 (neg.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)))) #s(literal 2 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 (exp.f64 (log.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)))) (exp.f64 (log.f64 #s(literal 2 binary64))))
(/.f64 (neg.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 (neg.f64 x))))
(cosh.f64 (neg.f64 (neg.f64 x)))
(cosh.f64 (neg.f64 x))
(cosh.f64 x)
(exp.f64 (log.f64 (cosh.f64 x)))
(+.f64 (cosh.f64 (log.f64 (cosh.f64 x))) (sinh.f64 (log.f64 (cosh.f64 x))))
(+.f64 (/.f64 (exp.f64 (neg.f64 x)) #s(literal 2 binary64)) (/.f64 (exp.f64 (neg.f64 (neg.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)))
(.f64 (neg.f64 (pow.f64 #s(approx (cosh x) (fma.f64 #s(approx (+ ( 1/24 (* x x)) 1/2) (.f64 (.f64 x x) #s(literal 1/24 binary64))) (.f64 x x) #s(literal 1 binary64))) #s(literal -1/2 binary64))) (neg.f64 (pow.f64 #s(approx (cosh x) (fma.f64 #s(approx (+ ( 1/24 (* x x)) 1/2) (.f64 (.f64 x x) #s(literal 1/24 binary64))) (*.f64 x x) #s(literal 1 binary64))) #s(literal -1/2 binary64))))
(.f64 (fabs.f64 (pow.f64 #s(approx (cosh x) (fma.f64 #s(approx (+ ( 1/24 (* x x)) 1/2) (.f64 (.f64 x x) #s(literal 1/24 binary64))) (.f64 x x) #s(literal 1 binary64))) #s(literal -1/2 binary64))) (fabs.f64 (pow.f64 #s(approx (cosh x) (fma.f64 #s(approx (+ ( 1/24 (* x x)) 1/2) (.f64 (.f64 x x) #s(literal 1/24 binary64))) (*.f64 x x) #s(literal 1 binary64))) #s(literal -1/2 binary64))))
(.f64 (pow.f64 #s(approx (cosh x) (fma.f64 #s(approx (+ ( 1/24 (* x x)) 1/2) (.f64 (.f64 x x) #s(literal 1/24 binary64))) (.f64 x x) #s(literal 1 binary64))) #s(literal -1/2 binary64)) (pow.f64 #s(approx (cosh x) (fma.f64 #s(approx (+ ( 1/24 (* x x)) 1/2) (.f64 (.f64 x x) #s(literal 1/24 binary64))) (*.f64 x x) #s(literal 1 binary64))) #s(literal -1/2 binary64)))
(pow.f64 (exp.f64 (log.f64 #s(approx (cosh x) (fma.f64 #s(approx (+ (* 1/24 (* x x)) 1/2) (.f64 (.f64 x x) #s(literal 1/24 binary64))) (*.f64 x x) #s(literal 1 binary64))))) #s(literal -1 binary64))
(pow.f64 (.f64 #s(approx (cosh x) (fma.f64 #s(approx (+ ( 1/24 (* x x)) 1/2) (.f64 (.f64 x x) #s(literal 1/24 binary64))) (.f64 x x) #s(literal 1 binary64))) #s(approx (cosh x) (fma.f64 #s(approx (+ ( 1/24 (* x x)) 1/2) (.f64 (.f64 x x) #s(literal 1/24 binary64))) (*.f64 x x) #s(literal 1 binary64)))) #s(literal -1/2 binary64))
(pow.f64 (pow.f64 #s(approx (cosh x) (fma.f64 #s(approx (+ (* 1/24 (* x x)) 1/2) (.f64 (.f64 x x) #s(literal 1/24 binary64))) (*.f64 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 #s(approx (+ (* 1/24 (* x x)) 1/2) (.f64 (.f64 x x) #s(literal 1/24 binary64))) (*.f64 x x) #s(literal 1 binary64))))) #s(literal -1 binary64))
(pow.f64 #s(approx (cosh x) (fma.f64 #s(approx (+ (* 1/24 (* x x)) 1/2) (.f64 (.f64 x x) #s(literal 1/24 binary64))) (*.f64 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 #s(approx (+ (* 1/24 (* x x)) 1/2) (.f64 (.f64 x x) #s(literal 1/24 binary64))) (*.f64 x x) #s(literal 1 binary64)))))))
(/.f64 #s(literal -1 binary64) (neg.f64 #s(approx (cosh x) (fma.f64 #s(approx (+ (* 1/24 (* x x)) 1/2) (.f64 (.f64 x x) #s(literal 1/24 binary64))) (*.f64 x x) #s(literal 1 binary64)))))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 #s(approx (cosh x) (fma.f64 #s(approx (+ (* 1/24 (* x x)) 1/2) (.f64 (.f64 x x) #s(literal 1/24 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 (.f64 x x) #s(literal 1/24 binary64))) (*.f64 x x) #s(literal 1 binary64))))
(neg.f64 (/.f64 #s(literal -1 binary64) #s(approx (cosh x) (fma.f64 #s(approx (+ (* 1/24 (* x x)) 1/2) (.f64 (.f64 x x) #s(literal 1/24 binary64))) (*.f64 x x) #s(literal 1 binary64)))))
(exp.f64 (.f64 (log.f64 #s(approx (cosh x) (fma.f64 #s(approx (+ ( 1/24 (* x x)) 1/2) (.f64 (.f64 x x) #s(literal 1/24 binary64))) (*.f64 x x) #s(literal 1 binary64)))) #s(literal -1 binary64)))
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(+.f64 #s(literal 1/24 binary64) (.f64 #s(literal 1/720 binary64) (.f64 x x)))

eval75.0ms (1.5%)

Memory: 43.2MiB live, 129.5MiB allocated; 10ms collecting garbage
Compiler: Compiled 26 997 to 2 656 computations (90.2% saved)

prune25.0ms (0.5%)

Memory

-22.1MiB live, 34.6MiB allocated; 7ms collecting garbage

Pruning

18 alts after pruning (9 fresh and 9 done)

	Pruned	Kept	Total
New	530	8	538
Fresh	2	1	3
Picked	1	4	5
Done	0	5	5
Total	533	18	551

Accuracy

100.0%

Counts

551 → 18

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(pow.f64 (pow.f64 (cosh.f64 x) #s(literal -1/2 binary64)) #s(literal 2 binary64))
✓	73.7%	(/.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))
	91.7%	(/.f64 #s(literal 1 binary64) #s(approx (cosh x) (fma.f64 (fma.f64 (.f64 (fma.f64 (.f64 #s(literal 1/720 binary64) x) x #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))))
	91.4%	(/.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))))
✓	86.9%	(/.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))))
	91.4%	(/.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))))
✓	91.4%	(/.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))))
	52.3%	(/.f64 #s(literal 1 binary64) #s(approx (cosh x) (fma.f64 (/.f64 (-.f64 #s(literal 1/4 binary64) (.f64 (.f64 (neg.f64 (.f64 #s(approx (+ ( 1/720 (* x x)) 1/24) (.f64 #s(literal 1/720 binary64) (.f64 x x))) x)) x) (.f64 (neg.f64 (.f64 #s(approx (+ (* 1/720 (* x x)) 1/24) (.f64 #s(literal 1/720 binary64) (.f64 x x))) x)) x))) (+.f64 #s(literal 1/2 binary64) (.f64 (neg.f64 (.f64 #s(approx (+ (* 1/720 (* x x)) 1/24) (.f64 #s(literal 1/720 binary64) (.f64 x x))) x)) x))) (*.f64 x x) #s(literal 1 binary64))))
	91.7%	(/.f64 #s(literal 1 binary64) #s(approx (cosh x) (fma.f64 (.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)) x) x #s(literal 1 binary64))))
	86.1%	(/.f64 #s(literal 1 binary64) #s(approx (cosh x) (fma.f64 (.f64 #s(approx (+ ( 1/24 (* x x)) 1/2) (.f64 (.f64 x x) #s(literal 1/24 binary64))) x) x #s(literal 1 binary64))))
	86.1%	(/.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))))
✓	86.1%	(/.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))))
	52.2%	(/.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 (.f64 x x) #s(literal 1/24 binary64))) x)) x) (.f64 (neg.f64 (.f64 #s(approx (+ (* 1/24 (* x x)) 1/2) (.f64 (.f64 x x) #s(literal 1/24 binary64))) x)) x))) (+.f64 #s(literal 1 binary64) (.f64 (neg.f64 (.f64 #s(approx (+ (* 1/24 (* x x)) 1/2) (.f64 (.f64 x x) #s(literal 1/24 binary64))) x)) x)))))
✓	47.8%	#s(approx (/ 2 (+ (exp x) (exp (neg x)))) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64)))
✓	48.0%	#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)))
✓	48.0%	#s(approx (/ 2 (+ (exp x) (exp (neg x)))) #s(literal 1 binary64))
	47.6%	#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 1 074 to 413 computations (61.5% saved)

regimes22.0ms (0.5%)

Memory

-1.3MiB live, 42.5MiB allocated; 4ms collecting garbage

Counts

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

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

Calls

3 calls:

8.0ms	(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
7.0ms	x
5.0ms	(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))

Results

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

Compiler

Compiled 15 to 13 computations (13.3% saved)

regimes15.0ms (0.3%)

Memory

26.3MiB live, 26.3MiB allocated; 0ms collecting garbage

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

Outputs

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
91.7%	1	`(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))`
91.7%	1	`(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))`
91.7%	1	`x`

Compiler

Compiled 15 to 13 computations (13.3% saved)

regimes15.0ms (0.3%)

Memory

-21.8MiB live, 23.6MiB allocated; 5ms collecting garbage

Counts

15 → 1

Calls

Call 1

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
91.4%	1	`(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))`
91.4%	1	`(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))`
91.4%	1	`x`

Compiler

Compiled 15 to 13 computations (13.3% saved)

regimes9.0ms (0.2%)

Memory

20.3MiB live, 20.3MiB allocated; 0ms collecting garbage

Counts

12 → 1

Calls

Call 1

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

4.0ms	x
3.0ms	(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
3.0ms	(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))

Results

Accuracy	Segments	Branch
86.9%	1	`(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))`
86.9%	1	`(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))`
86.9%	1	`x`

Compiler

Compiled 15 to 13 computations (13.3% saved)

regimes11.0ms (0.2%)

Memory

-33.6MiB live, 11.7MiB allocated; 4ms collecting garbage

Counts

8 → 1

Calls

Call 1

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

6.0ms	(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
3.0ms	x
2.0ms	(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))

Results

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

Compiler

Compiled 15 to 13 computations (13.3% saved)

regimes5.0ms (0.1%)

Memory

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

Counts

5 → 1

Calls

Call 1

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

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

Results

Accuracy	Segments	Branch
73.7%	1	`(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))`
73.7%	1	`(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))`
73.7%	1	`x`

Compiler

Compiled 15 to 13 computations (13.3% saved)

regimes3.0ms (0.1%)

Memory

6.9MiB live, 6.9MiB allocated; 0ms collecting garbage

Accuracy

Total -0.4b remaining (-1.2%)

Threshold costs -0.4b (-1.2%)

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
48.0%	1	`(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))`
48.0%	1	`(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))`
48.0%	1	`x`

Compiler

Compiled 15 to 13 computations (13.3% saved)

simplify46.0ms (0.9%)

Memory

-14.9MiB live, 43.0MiB allocated; 8ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	47	115
1	76	115
2	153	115
3	432	115
4	1704	111
5	6428	111

Stop Event

1×	node limit

Calls

Call 1

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

derivations831.0ms (17.2%)

Memory

36.9MiB live, 697.5MiB allocated; 75ms collecting garbage

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	39	331
0	68	320
1	263	320
2	1568	320
0	8403	320
0	78	238
1	242	238
2	759	234
3	3206	230
0	8107	208
0	41	253
0	66	246
1	281	244
2	2080	244
0	8831	244
0	66	165
1	213	164
2	639	160
3	2334	160
4	5806	160
0	8044	142
0	120	495
1	350	495
2	959	479
3	3519	479
0	8310	449
0	7	19
0	12	15
1	41	13
2	278	13
0	3360	13

Stop Event

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

Compiler

Compiled 115 to 52 computations (54.8% saved)

preprocess81.0ms (1.7%)

Memory: -26.3MiB live, 123.8MiB allocated; 14ms collecting garbage
Remove: (abs x)
Compiler: Compiled 294 to 166 computations (43.5% saved)

end0.0ms (0%)

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

start0.0ms (0%)

analyze0.0ms (0%)

sample911.0ms (18.9%)

explain127.0ms (2.6%)

preprocess150.0ms (3.1%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify112.0ms (2.3%)

localize21.0ms (0.4%)

series2.0ms (0.1%)

simplify136.0ms (2.8%)

rewrite162.0ms (3.4%)

eval28.0ms (0.6%)

prune10.0ms (0.2%)

simplify139.0ms (2.9%)

localize53.0ms (1.1%)

series7.0ms (0.2%)

simplify209.0ms (4.3%)

rewrite64.0ms (1.3%)

eval64.0ms (1.3%)

prune10.0ms (0.2%)

simplify132.0ms (2.7%)

localize131.0ms (2.7%)

series11.0ms (0.2%)

simplify120.0ms (2.5%)

rewrite258.0ms (5.4%)

eval108.0ms (2.2%)

prune23.0ms (0.5%)

simplify223.0ms (4.6%)

localize111.0ms (2.3%)

series8.0ms (0.2%)

simplify118.0ms (2.5%)

rewrite234.0ms (4.8%)

eval75.0ms (1.5%)

prune25.0ms (0.5%)

regimes22.0ms (0.5%)

regimes15.0ms (0.3%)

regimes15.0ms (0.3%)

regimes9.0ms (0.2%)

regimes11.0ms (0.2%)

regimes5.0ms (0.1%)

regimes3.0ms (0.1%)

simplify46.0ms (0.9%)

derivations831.0ms (17.2%)

preprocess81.0ms (1.7%)

end0.0ms (0%)

Profiling