Metrics for Linear.Quaternion:$ctan from linear-1.19.1.3

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated

analyze68.0ms (0.6%)

Memory

-23.2MiB live, 142.3MiB allocated

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	99.9%	0.1%	0%	0%	0%	0
0%	0%	99.9%	0.1%	0%	0%	0%	1
0%	0%	99.9%	0.1%	0%	0%	0%	2
0%	0%	99.9%	0.1%	0%	0%	0%	3
25%	25%	74.9%	0.1%	0%	0%	0%	4
37.5%	37.4%	62.4%	0.1%	0%	0%	0%	5
37.5%	37.4%	62.4%	0.1%	0%	0%	0%	6
56.3%	56.2%	43.7%	0.1%	0%	0%	0%	7
65.6%	65.5%	34.3%	0.1%	0%	0%	0%	8
65.6%	65.5%	34.3%	0.1%	0%	0%	0%	9
76.6%	76.5%	23.4%	0.1%	0%	0%	0%	10
82%	81.9%	17.9%	0.1%	0%	0%	0%	11
82%	81.9%	17.9%	0.1%	0%	0%	0%	12

Compiler

Compiled 10 to 9 computations (10% saved)

sample819.0ms (6.8%)

Memory

22.4MiB live, 957.7MiB allocated

Samples

526.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 336.0ms

ival-cosh: 133.0ms (39.6% of total)

ival-div: 121.0ms (36% of total)

ival-mult: 73.0ms (21.7% of total)

ival-true: 6.0ms (1.8% of total)

ival-assert: 3.0ms (0.9% of total)

Bogosity

explain315.0ms (2.6%)

Memory

37.2MiB live, 76.6MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
21	-	-	`(*.f64 (cosh.f64 x) (/.f64 y x))`
13	-	-	`(/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z)`
0	-	-	`(/.f64 y x)`
0	-	-	`y`
0	-	-	`(cosh.f64 x)`
0	-	-	`z`
0	-	-	`x`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`*.f64`	`(*.f64 (cosh.f64 x) (/.f64 y x))`	*ou**	21	0
↳	`(cosh.f64 x)`	overflow	115
↳	`(/.f64 y x)`	underflow	21
`/.f64`	`(/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z)`	o/n	13	0
↳	`(cosh.f64 x)`	overflow	115
↳	`(/.f64 y x)`	overflow	36
↳	`(*.f64 (cosh.f64 x) (/.f64 y x))`	overflow	151

Confusion

	Predicted +	Predicted -
+	34	0
-	0	222

Precision

1.0

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	34	0	0
-	0	0	222

Precision?

1.0

Recall?

1.0

Freqs

test

number	freq
0	222
1	34

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

280.0ms

512×

valid

Compiler

Compiled 56 to 25 computations (55.4% saved)

Precisions

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

ival-div: 7.0ms (42.4% of total)

ival-cosh: 5.0ms (30.3% of total)

ival-mult: 3.0ms (18.2% of total)

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

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

preprocess156.0ms (1.3%)

Memory

-15.5MiB live, 64.3MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	31	87
1	106	75
2	336	75
3	1233	75
4	4263	75
5	7537	75
0	7	8
0	11	8
1	22	8
2	45	8
3	94	8
4	191	8
5	299	8
6	487	8
7	1061	8
8	2206	8
9	2598	8
10	2799	8
11	2810	8
12	2810	8
13	2847	8
14	2852	8
15	2854	8
16	2859	8
17	2859	8
0	2859	8

Stop Event

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

Calls

Call 1

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

Outputs
(/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z)
(*.f64 (/.f64 (/.f64 (cosh.f64 x) x) z) y)

Symmetry

(negabs z)

(negabs y)

(negabs x)

Compiler

Compiled 8 to 7 computations (12.5% saved)

eval0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated
Compiler: Compiled 0 to 3 computations (-∞% saved)

prune0.0ms (0%)

Memory

0.5MiB live, 0.5MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	86.9%	(/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z)

Compiler

Compiled 8 to 7 computations (12.5% saved)

simplify85.0ms (0.7%)

Memory

2.4MiB live, 41.0MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
cost-diff	0	(/.f64 y x)
cost-diff	0	(cosh.f64 x)
cost-diff	0	(*.f64 (cosh.f64 x) (/.f64 y x))
cost-diff	0	(/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z)

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	22
0	11	22
1	22	22
2	45	22
3	94	22
4	191	22
5	299	22
6	487	22
7	1061	22
8	2206	22
9	2598	22
10	2799	22
11	2810	22
12	2810	22
13	2847	22
14	2852	22
15	2854	22
16	2859	22
17	2859	22
0	2859	22

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

Outputs
(/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z)
(*.f64 (/.f64 (/.f64 (cosh.f64 x) x) z) y)
(*.f64 (cosh.f64 x) (/.f64 y x))
(*.f64 (/.f64 (cosh.f64 x) x) y)
(cosh.f64 x)
x
(/.f64 y x)
y
z

localize43.0ms (0.4%)

Memory

-7.9MiB live, 28.9MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.0	(/.f64 y x)
accuracy	0.0	(cosh.f64 x)
accuracy	3.146624079283566	(/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z)
accuracy	4.183593750000001	(*.f64 (cosh.f64 x) (/.f64 y x))

Samples

38.0ms

256×

valid

Compiler

Compiled 24 to 9 computations (62.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 29.0ms

ival-div: 24.0ms (83.5% of total)

ival-cosh: 3.0ms (10.4% of total)

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

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

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

series18.0ms (0.1%)

Memory

21.9MiB live, 21.9MiB allocated

Counts

4 → 15

Calls

Call 1

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

Outputs
(/ y (* x z))
(/ (+ (* 1/2 (/ (* (pow x 2) y) z)) (/ y z)) x)
(/ (+ (* (pow x 2) (+ (* 1/24 (/ (* (pow x 2) y) z)) (* 1/2 (/ y z)))) (/ y z)) x)
(/ (+ (* (pow x 2) (+ (* 1/2 (/ y z)) (* (pow x 2) (+ (* 1/720 (/ (* (pow x 2) y) z)) (* 1/24 (/ y z)))))) (/ y z)) x)
(/ y x)
(/ (+ y (* 1/2 (* (pow x 2) y))) x)
(/ (+ y (* (pow x 2) (+ (* 1/24 (* (pow x 2) y)) (* 1/2 y)))) x)
(/ (+ y (* (pow x 2) (+ (* 1/2 y) (* (pow x 2) (+ (* 1/720 (* (pow x 2) y)) (* 1/24 y)))))) x)
1
(+ 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 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z)))
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) x))
(* 1/2 (+ (exp x) (/ 1 (exp x))))

Calls

9 calls:

Time	Variable		Point	Expression
4.0ms	y	@	0	((/ (* (cosh x) (/ y x)) z) (* (cosh x) (/ y x)) (cosh x) (/ y x))
3.0ms	x	@	-inf	((/ (* (cosh x) (/ y x)) z) (* (cosh x) (/ y x)) (cosh x) (/ y x))
3.0ms	x	@	inf	((/ (* (cosh x) (/ y x)) z) (* (cosh x) (/ y x)) (cosh x) (/ y x))
2.0ms	y	@	-inf	((/ (* (cosh x) (/ y x)) z) (* (cosh x) (/ y x)) (cosh x) (/ y x))
2.0ms	y	@	inf	((/ (* (cosh x) (/ y x)) z) (* (cosh x) (/ y x)) (cosh x) (/ y x))

simplify223.0ms (1.9%)

Memory

-8.1MiB live, 124.4MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	70	214
1	201	210
2	600	198
3	1414	192
4	2105	192
5	2771	190
6	3308	190
7	4809	186
8	5455	186
9	5925	186
10	6457	186
11	7745	186
0	8026	168

Stop Event

1×	iter limit
1×	node limit

Counts

15 → 15

Calls

Call 1

Inputs
(/ y (* x z))
(/ (+ (* 1/2 (/ (* (pow x 2) y) z)) (/ y z)) x)
(/ (+ (* (pow x 2) (+ (* 1/24 (/ (* (pow x 2) y) z)) (* 1/2 (/ y z)))) (/ y z)) x)
(/ (+ (* (pow x 2) (+ (* 1/2 (/ y z)) (* (pow x 2) (+ (* 1/720 (/ (* (pow x 2) y) z)) (* 1/24 (/ y z)))))) (/ y z)) x)
(/ y x)
(/ (+ y (* 1/2 (* (pow x 2) y))) x)
(/ (+ y (* (pow x 2) (+ (* 1/24 (* (pow x 2) y)) (* 1/2 y)))) x)
(/ (+ y (* (pow x 2) (+ (* 1/2 y) (* (pow x 2) (+ (* 1/720 (* (pow x 2) y)) (* 1/24 y)))))) x)
1
(+ 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 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z)))
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) x))
(* 1/2 (+ (exp x) (/ 1 (exp x))))

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

rewrite304.0ms (2.5%)

Memory

-7.5MiB live, 148.9MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	19
0	11	19
1	36	19
2	208	19
3	2161	19
0	8687	19

Stop Event

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

Counts

4 → 574

Calls

Call 1

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

Outputs
(.f64 (pow.f64 (.f64 (/.f64 z (cosh.f64 x)) #s(literal -1 binary64)) #s(literal -1 binary64)) (/.f64 (neg.f64 y) x))
(.f64 (pow.f64 (/.f64 (.f64 (/.f64 x y) z) (*.f64 #s(literal -2 binary64) (cosh.f64 x))) #s(literal -1 binary64)) #s(literal -1/2 binary64))
(.f64 (pow.f64 (.f64 z (/.f64 x (.f64 #s(literal 2 binary64) (.f64 y (cosh.f64 x))))) #s(literal -1 binary64)) #s(literal 1/2 binary64))
(.f64 (pow.f64 (/.f64 (neg.f64 z) (.f64 y (cosh.f64 x))) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) x))
(.f64 (pow.f64 (/.f64 (neg.f64 z) (.f64 #s(literal 2 binary64) (.f64 y (cosh.f64 x)))) #s(literal -1 binary64)) (pow.f64 (.f64 #s(literal -2 binary64) x) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 (neg.f64 (/.f64 z (cosh.f64 x))) y) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) x))
(.f64 (pow.f64 (/.f64 z (.f64 #s(literal 2 binary64) (cosh.f64 x))) #s(literal -1 binary64)) (*.f64 (/.f64 y x) #s(literal 1/2 binary64)))
(.f64 (pow.f64 (/.f64 x (.f64 #s(literal 2 binary64) (.f64 y (cosh.f64 x)))) #s(literal -1 binary64)) (pow.f64 (.f64 #s(literal 2 binary64) z) #s(literal -1 binary64)))
(.f64 (pow.f64 (/.f64 z (.f64 #s(literal 2 binary64) (.f64 y (cosh.f64 x)))) #s(literal -1 binary64)) (pow.f64 (.f64 #s(literal 2 binary64) x) #s(literal -1 binary64)))
(.f64 (/.f64 (.f64 y (cosh.f64 x)) (neg.f64 z)) (/.f64 #s(literal -1 binary64) x))
(.f64 (/.f64 (.f64 (neg.f64 y) (cosh.f64 x)) z) (/.f64 #s(literal -1 binary64) x))
(.f64 (/.f64 (.f64 #s(literal 2 binary64) (cosh.f64 x)) z) (*.f64 (/.f64 y x) #s(literal 1/2 binary64)))
(.f64 (/.f64 (.f64 (.f64 (neg.f64 y) #s(literal 2 binary64)) (cosh.f64 x)) z) (pow.f64 (.f64 #s(literal -2 binary64) x) #s(literal -1 binary64)))
(.f64 (/.f64 (.f64 #s(literal 2 binary64) (.f64 y (cosh.f64 x))) z) (pow.f64 (.f64 #s(literal 2 binary64) x) #s(literal -1 binary64)))
(*.f64 (neg.f64 (/.f64 (cosh.f64 x) z)) (/.f64 (neg.f64 y) x))
(.f64 (.f64 (neg.f64 y) (/.f64 (cosh.f64 x) z)) (/.f64 #s(literal -1 binary64) x))
(.f64 (.f64 (*.f64 #s(literal -2 binary64) (cosh.f64 x)) (/.f64 (/.f64 y x) z)) #s(literal -1/2 binary64))
(.f64 (.f64 (/.f64 (/.f64 y x) z) (*.f64 #s(literal -2 binary64) (cosh.f64 x))) #s(literal -1/2 binary64))
(.f64 (.f64 (pow.f64 z #s(literal -1 binary64)) (*.f64 (neg.f64 y) (cosh.f64 x))) (/.f64 #s(literal -1 binary64) x))
(.f64 (.f64 (pow.f64 z #s(literal -1 binary64)) (/.f64 (.f64 #s(literal 2 binary64) (.f64 y (cosh.f64 x))) x)) #s(literal 1/2 binary64))
(.f64 (.f64 (pow.f64 z #s(literal -1 binary64)) (.f64 #s(literal 2 binary64) (cosh.f64 x))) (.f64 (/.f64 y x) #s(literal 1/2 binary64)))
(.f64 (.f64 (pow.f64 z #s(literal -1 binary64)) (.f64 (.f64 (neg.f64 y) #s(literal 2 binary64)) (cosh.f64 x))) (pow.f64 (*.f64 #s(literal -2 binary64) x) #s(literal -1 binary64)))
(.f64 (.f64 (pow.f64 z #s(literal -1 binary64)) (.f64 #s(literal 2 binary64) (.f64 y (cosh.f64 x)))) (pow.f64 (*.f64 #s(literal 2 binary64) x) #s(literal -1 binary64)))
(.f64 (.f64 (pow.f64 z #s(literal -1 binary64)) y) (/.f64 (cosh.f64 x) x))
(.f64 (pow.f64 (.f64 (/.f64 z y) (/.f64 x (cosh.f64 x))) #s(literal -1/2 binary64)) (pow.f64 (*.f64 (/.f64 z y) (/.f64 x (cosh.f64 x))) #s(literal -1/2 binary64)))
(*.f64 (/.f64 y z) (/.f64 (cosh.f64 x) x))
(.f64 (neg.f64 (/.f64 (.f64 y (cosh.f64 x)) z)) (/.f64 #s(literal -1 binary64) x))
(.f64 (neg.f64 (/.f64 (/.f64 (.f64 #s(literal 2 binary64) (*.f64 y (cosh.f64 x))) x) z)) #s(literal -1/2 binary64))
(.f64 (.f64 (/.f64 (neg.f64 y) x) (.f64 #s(literal 2 binary64) (cosh.f64 x))) (/.f64 #s(literal 1 binary64) (neg.f64 (.f64 #s(literal 2 binary64) z))))
(.f64 (.f64 (/.f64 (neg.f64 y) x) (.f64 #s(literal 2 binary64) (cosh.f64 x))) (/.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) (neg.f64 z))))
(.f64 (.f64 (/.f64 (neg.f64 y) x) (.f64 #s(literal 2 binary64) (cosh.f64 x))) (/.f64 #s(literal 1 binary64) (.f64 (neg.f64 z) #s(literal 2 binary64))))
(.f64 (.f64 (.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (.f64 (*.f64 (/.f64 x y) #s(literal 2 binary64)) (neg.f64 z))))
(.f64 (.f64 (/.f64 (neg.f64 y) x) (.f64 #s(literal -2 binary64) (cosh.f64 x))) (/.f64 #s(literal 1 binary64) (.f64 (neg.f64 z) #s(literal -2 binary64))))
(.f64 (.f64 (neg.f64 y) (.f64 #s(literal -2 binary64) (cosh.f64 x))) (/.f64 #s(literal 1 binary64) (.f64 (*.f64 (neg.f64 z) x) #s(literal -2 binary64))))
(.f64 (.f64 (/.f64 y x) (.f64 #s(literal -2 binary64) (cosh.f64 x))) (/.f64 #s(literal 1 binary64) (.f64 z #s(literal -2 binary64))))
(.f64 (.f64 y (.f64 #s(literal -2 binary64) (cosh.f64 x))) (/.f64 #s(literal 1 binary64) (.f64 (*.f64 z x) #s(literal -2 binary64))))
(.f64 (.f64 (/.f64 (.f64 #s(literal 2 binary64) (.f64 y (cosh.f64 x))) x) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (neg.f64 z))))
(.f64 (.f64 (.f64 (.f64 (neg.f64 y) #s(literal 2 binary64)) (cosh.f64 x)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (.f64 (.f64 #s(literal -2 binary64) x) (neg.f64 z))))
(.f64 (.f64 (.f64 #s(literal 2 binary64) (.f64 y (cosh.f64 x))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (.f64 (.f64 #s(literal 2 binary64) x) (neg.f64 z))))
(.f64 (.f64 (*.f64 y (cosh.f64 x)) #s(literal -1 binary64)) (/.f64 (/.f64 #s(literal -1 binary64) x) z))
(.f64 (.f64 (.f64 #s(literal -2 binary64) (cosh.f64 x)) (neg.f64 y)) (/.f64 #s(literal 1 binary64) (.f64 #s(literal -2 binary64) (*.f64 (neg.f64 z) x))))
(.f64 (.f64 (.f64 #s(literal -2 binary64) (cosh.f64 x)) (/.f64 y x)) (/.f64 #s(literal 1 binary64) (.f64 #s(literal -2 binary64) z)))
(.f64 (.f64 (.f64 #s(literal -2 binary64) (cosh.f64 x)) y) (/.f64 #s(literal 1 binary64) (.f64 #s(literal -2 binary64) (*.f64 z x))))
(*.f64 (/.f64 (cosh.f64 x) z) (/.f64 y x))
(.f64 (/.f64 (.f64 y (cosh.f64 x)) z) (pow.f64 x #s(literal -1 binary64)))
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(.f64 (.f64 (-.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) (pow.f64 (exp.f64 x) #s(literal -2 binary64))) #s(literal 1/2 binary64)) (pow.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 x)) #s(literal -1 binary64)))
(.f64 (.f64 (+.f64 (pow.f64 (exp.f64 x) #s(literal -3 binary64)) (pow.f64 (exp.f64 x) #s(literal 3 binary64))) #s(literal 1/2 binary64)) (pow.f64 (fma.f64 (exp.f64 x) (exp.f64 x) (expm1.f64 (*.f64 #s(literal -2 binary64) x))) #s(literal -1 binary64)))
(*.f64 (neg.f64 (cosh.f64 x)) #s(literal -1 binary64))
(.f64 (-.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) (pow.f64 (exp.f64 x) #s(literal -2 binary64))) (/.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 x)))))
(.f64 #s(literal 1/2 binary64) (.f64 #s(literal 2 binary64) (cosh.f64 x)))
(.f64 (+.f64 (pow.f64 (exp.f64 x) #s(literal -3 binary64)) (pow.f64 (exp.f64 x) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) (fma.f64 (exp.f64 x) (exp.f64 x) (expm1.f64 (*.f64 #s(literal -2 binary64) x))))))
(.f64 (.f64 #s(literal -2 binary64) (cosh.f64 x)) #s(literal -1/2 binary64))
(*.f64 #s(literal -1 binary64) (neg.f64 (cosh.f64 x)))
(*.f64 #s(literal 1 binary64) (cosh.f64 x))
(.f64 #s(literal 2 binary64) (.f64 (cosh.f64 x) #s(literal 1/2 binary64)))
(.f64 (.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 1/2 binary64))
(*.f64 (cosh.f64 x) #s(literal 1 binary64))
(pow.f64 (pow.f64 (cosh.f64 x) #s(literal -1 binary64)) #s(literal -1 binary64))
(/.f64 (neg.f64 (.f64 (-.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) (pow.f64 (exp.f64 x) #s(literal -2 binary64))) #s(literal 1/2 binary64))) (neg.f64 (.f64 #s(literal 2 binary64) (sinh.f64 x))))
(/.f64 (neg.f64 (.f64 (+.f64 (pow.f64 (exp.f64 x) #s(literal -3 binary64)) (pow.f64 (exp.f64 x) #s(literal 3 binary64))) #s(literal 1/2 binary64))) (neg.f64 (fma.f64 (exp.f64 x) (exp.f64 x) (expm1.f64 (.f64 #s(literal -2 binary64) x)))))
(/.f64 (.f64 (-.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) (pow.f64 (exp.f64 x) #s(literal -2 binary64))) #s(literal 1/2 binary64)) (.f64 #s(literal 2 binary64) (sinh.f64 x)))
(/.f64 (.f64 (+.f64 (pow.f64 (exp.f64 x) #s(literal -3 binary64)) (pow.f64 (exp.f64 x) #s(literal 3 binary64))) #s(literal 1/2 binary64)) (fma.f64 (exp.f64 x) (exp.f64 x) (expm1.f64 (.f64 #s(literal -2 binary64) x))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) (pow.f64 (exp.f64 x) #s(literal -2 binary64)))) (neg.f64 (.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) (sinh.f64 x)))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (exp.f64 x) #s(literal -3 binary64)) (pow.f64 (exp.f64 x) #s(literal 3 binary64)))) (neg.f64 (.f64 #s(literal 2 binary64) (fma.f64 (exp.f64 x) (exp.f64 x) (expm1.f64 (.f64 #s(literal -2 binary64) x))))))
(/.f64 (neg.f64 (cosh.f64 x)) #s(literal -1 binary64))
(/.f64 (-.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) (pow.f64 (exp.f64 x) #s(literal -2 binary64))) (.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) (sinh.f64 x))))
(/.f64 #s(literal 1/2 binary64) (pow.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal -1 binary64)))
(/.f64 (+.f64 (pow.f64 (exp.f64 x) #s(literal -3 binary64)) (pow.f64 (exp.f64 x) #s(literal 3 binary64))) (.f64 #s(literal 2 binary64) (fma.f64 (exp.f64 x) (exp.f64 x) (expm1.f64 (.f64 #s(literal -2 binary64) x)))))
(/.f64 (*.f64 #s(literal -2 binary64) (cosh.f64 x)) #s(literal -2 binary64))
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (cosh.f64 x)))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal 2 binary64) (sinh.f64 x)) (.f64 (-.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) (pow.f64 (exp.f64 x) #s(literal -2 binary64))) #s(literal 1/2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (exp.f64 x) (exp.f64 x) (expm1.f64 (.f64 #s(literal -2 binary64) x))) (.f64 (+.f64 (pow.f64 (exp.f64 x) #s(literal -3 binary64)) (pow.f64 (exp.f64 x) #s(literal 3 binary64))) #s(literal 1/2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) (sinh.f64 x))) (-.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) (pow.f64 (exp.f64 x) #s(literal -2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal 2 binary64) (fma.f64 (exp.f64 x) (exp.f64 x) (expm1.f64 (.f64 #s(literal -2 binary64) x)))) (+.f64 (pow.f64 (exp.f64 x) #s(literal -3 binary64)) (pow.f64 (exp.f64 x) #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (neg.f64 (/.f64 #s(literal -1 binary64) (cosh.f64 x))))
(/.f64 #s(literal 1 binary64) (pow.f64 (cosh.f64 x) #s(literal -1 binary64)))
(/.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 2 binary64))
(/.f64 (cosh.f64 x) #s(literal 1 binary64))
(neg.f64 (neg.f64 (cosh.f64 x)))
(fma.f64 #s(literal 1/2 binary64) (exp.f64 (neg.f64 x)) (*.f64 #s(literal 1/2 binary64) (exp.f64 x)))
(fma.f64 #s(literal 1/2 binary64) (exp.f64 x) (*.f64 #s(literal 1/2 binary64) (exp.f64 (neg.f64 x))))
(fma.f64 (exp.f64 (neg.f64 x)) #s(literal 1/2 binary64) (*.f64 (exp.f64 x) #s(literal 1/2 binary64)))
(fma.f64 (exp.f64 x) #s(literal 1/2 binary64) (*.f64 (exp.f64 (neg.f64 x)) #s(literal 1/2 binary64)))
(cosh.f64 (neg.f64 x))
(cosh.f64 x)
(-.f64 (/.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) (.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) (sinh.f64 x)))) (/.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) (.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) (sinh.f64 x)))))
(-.f64 (/.f64 (/.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) (.f64 #s(literal 2 binary64) (sinh.f64 x))) #s(literal 2 binary64)) (/.f64 (/.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) (.f64 #s(literal 2 binary64) (sinh.f64 x))) #s(literal 2 binary64)))
(-.f64 (.f64 (cosh.f64 #s(literal 0 binary64)) (cosh.f64 x)) (.f64 (sinh.f64 #s(literal 0 binary64)) (sinh.f64 (neg.f64 x))))
(-.f64 #s(literal 0 binary64) (neg.f64 (cosh.f64 x)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (cosh.f64 x) #s(literal -1 binary64))) #s(literal -1 binary64)))
(+.f64 (.f64 (exp.f64 (neg.f64 x)) #s(literal 1/2 binary64)) (.f64 (exp.f64 x) #s(literal 1/2 binary64)))
(+.f64 (.f64 (exp.f64 x) #s(literal 1/2 binary64)) (.f64 (exp.f64 (neg.f64 x)) #s(literal 1/2 binary64)))
(+.f64 (.f64 #s(literal 1/2 binary64) (exp.f64 (neg.f64 x))) (.f64 #s(literal 1/2 binary64) (exp.f64 x)))
(+.f64 (.f64 #s(literal 1/2 binary64) (exp.f64 x)) (.f64 #s(literal 1/2 binary64) (exp.f64 (neg.f64 x))))
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) y) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) x))
(*.f64 (pow.f64 (/.f64 x y) #s(literal -1/2 binary64)) (pow.f64 (/.f64 x y) #s(literal -1/2 binary64)))
(*.f64 (/.f64 #s(literal -1 binary64) x) (pow.f64 (/.f64 #s(literal -1 binary64) y) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 y))
(*.f64 (/.f64 (neg.f64 y) x) #s(literal -1 binary64))
(*.f64 #s(literal -1 binary64) (/.f64 (neg.f64 y) x))
(*.f64 (pow.f64 x #s(literal -1 binary64)) y)
(*.f64 #s(literal 1 binary64) (/.f64 y x))
(*.f64 (neg.f64 y) (/.f64 #s(literal -1 binary64) x))
(*.f64 (/.f64 y x) #s(literal 1 binary64))
(*.f64 y (pow.f64 x #s(literal -1 binary64)))
(pow.f64 (exp.f64 (log.f64 (/.f64 x y))) #s(literal -1 binary64))
(pow.f64 (*.f64 (/.f64 x y) (/.f64 x y)) #s(literal -1/2 binary64))
(pow.f64 (pow.f64 (/.f64 x y) #s(literal -1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (/.f64 x y) #s(literal -1 binary64))
(pow.f64 (/.f64 y x) #s(literal 1 binary64))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (/.f64 (neg.f64 y) x) (/.f64 (neg.f64 y) x))) (/.f64 (neg.f64 y) x))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (/.f64 (neg.f64 y) x) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 (/.f64 (neg.f64 y) x) (/.f64 (neg.f64 y) x) (*.f64 #s(literal 0 binary64) (/.f64 (neg.f64 y) x)))))
(/.f64 (-.f64 #s(literal 0 binary64) (.f64 (neg.f64 x) (neg.f64 y))) (.f64 (neg.f64 x) x))
(/.f64 (-.f64 (.f64 #s(literal 0 binary64) (neg.f64 x)) (.f64 (neg.f64 x) y)) (*.f64 x x))
(/.f64 (-.f64 (.f64 #s(literal 0 binary64) (/.f64 (neg.f64 x) y)) (neg.f64 x)) (.f64 (neg.f64 x) (/.f64 (neg.f64 x) y)))
(/.f64 (-.f64 (.f64 #s(literal 0 binary64) (/.f64 x y)) x) (.f64 (neg.f64 x) (/.f64 x y)))
(/.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 (pow.f64 y #s(literal -1 binary64))))
(/.f64 (/.f64 (neg.f64 y) x) #s(literal -1 binary64))
(/.f64 #s(literal -1 binary64) (/.f64 (neg.f64 x) y))
(/.f64 (pow.f64 x #s(literal -1 binary64)) (pow.f64 y #s(literal -1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 x y))
(/.f64 (neg.f64 y) (neg.f64 x))
(/.f64 (/.f64 y x) #s(literal 1 binary64))
(/.f64 y x)
(neg.f64 (/.f64 (neg.f64 y) x))
(fma.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 0 binary64) (/.f64 y x))
(-.f64 #s(literal 0 binary64) (/.f64 (neg.f64 y) x))
(exp.f64 (*.f64 (log.f64 (/.f64 x y)) #s(literal -1 binary64)))
(+.f64 (*.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 0 binary64)) (/.f64 y x))
(+.f64 #s(literal 0 binary64) (/.f64 y x))

eval151.0ms (1.3%)

Memory: -18.9MiB live, 102.8MiB allocated
Compiler: Compiled 8 368 to 1 572 computations (81.2% saved)

prune47.0ms (0.4%)

Memory

13.2MiB live, 50.4MiB allocated

Pruning

15 alts after pruning (15 fresh and 0 done)

	Pruned	Kept	Total
New	574	15	589
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	575	15	590

Accuracy

100.0%

Counts

590 → 15

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	94.6%	(/.f64 (/.f64 (*.f64 y (cosh.f64 x)) z) x)
	81.6%	(/.f64 (.f64 #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 y x)) z)
	80.1%	(/.f64 (.f64 #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 y x)) z)
	72.2%	(/.f64 (.f64 #s(approx (cosh x) (fma.f64 (.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) (/.f64 y x)) z)
	86.6%	(/.f64 (.f64 y (cosh.f64 x)) (.f64 z x))
	81.0%	(/.f64 (cosh.f64 x) (*.f64 (/.f64 x y) z))
	53.6%	(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 y x)) z)
▶	68.8%	(/.f64 #s(approx (* (cosh x) (/ y x)) (*.f64 (fma.f64 #s(literal 1/2 binary64) x (/.f64 #s(literal 1 binary64) x)) y)) z)
▶	89.8%	(/.f64 #s(approx (* (cosh x) (/ y x)) (.f64 (/.f64 (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)) x) y)) z)
▶	87.9%	(/.f64 #s(approx (* (cosh x) (/ y x)) (.f64 (/.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) x) y)) z)
	89.3%	(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 z y) (/.f64 x (cosh.f64 x))))
▶	54.2%	#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 y (*.f64 z x)))
	64.6%	#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (fma.f64 #s(literal 1/2 binary64) x (/.f64 #s(literal 1 binary64) x)) (/.f64 y z)))
	82.3%	#s(approx (/ (* (cosh x) (/ y x)) z) (.f64 (/.f64 (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)) z) (/.f64 y x)))
	87.1%	#s(approx (/ (* (cosh x) (/ y x)) z) (.f64 (/.f64 (/.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) z) x) y))

Compiler

Compiled 532 to 376 computations (29.3% saved)

simplify183.0ms (1.5%)

Memory

-11.6MiB live, 113.4MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	37	339
0	65	339
1	115	339
2	195	339
3	400	339
4	827	339
5	1897	339
6	3651	331
7	5353	331
8	6787	331
9	6923	331
10	7090	331
11	7367	331
0	8095	323

Stop Event

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

Calls

Call 1

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

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

localize107.0ms (0.9%)

Memory

25.5MiB live, 138.4MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score
accuracy	0.2930046838132945	(fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64))
accuracy	1.5859665402590062	(/.f64 (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)) x)
accuracy	3.146624079283566	(/.f64 #s(approx (* (cosh x) (/ y x)) (.f64 (/.f64 (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)) x) y)) z)
accuracy	4.559513740120146	#s(approx (* (cosh x) (/ y x)) (.f64 (/.f64 (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)) x) y))
accuracy	1.8739700070719079	(/.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 x x) #s(literal 1/2 binary64)) (.f64 x x) #s(literal 1 binary64)) x)
accuracy	2.6938137978002343	(.f64 (/.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) x) y)
accuracy	3.146624079283566	(/.f64 #s(approx (* (cosh x) (/ y x)) (.f64 (/.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) x) y)) z)
accuracy	7.865768685552359	#s(approx (* (cosh x) (/ y x)) (.f64 (/.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) x) y))
accuracy	0.0	(/.f64 #s(literal 1 binary64) x)
accuracy	0.10546875	(*.f64 (fma.f64 #s(literal 1/2 binary64) x (/.f64 #s(literal 1 binary64) x)) y)
accuracy	3.146624079283566	(/.f64 #s(approx (* (cosh x) (/ y x)) (*.f64 (fma.f64 #s(literal 1/2 binary64) x (/.f64 #s(literal 1 binary64) x)) y)) z)
accuracy	20.288899345052833	#s(approx (* (cosh x) (/ y x)) (*.f64 (fma.f64 #s(literal 1/2 binary64) x (/.f64 #s(literal 1 binary64) x)) y))
accuracy	0.0	(*.f64 z x)
accuracy	4.979433447730776	(/.f64 y (*.f64 z x))
accuracy	26.514783230664456	#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 y (*.f64 z x)))
accuracy	0.0	(/.f64 (*.f64 y (cosh.f64 x)) z)
accuracy	0.0	(*.f64 y (cosh.f64 x))
accuracy	0.0	(cosh.f64 x)
accuracy	3.4530589329669104	(/.f64 (/.f64 (*.f64 y (cosh.f64 x)) z) x)

Samples

82.0ms

256×

valid

Compiler

Compiled 264 to 37 computations (86% saved)

Precisions

Click to see histograms. Total time spent on operations: 60.0ms

ival-mult: 32.0ms (53.4% of total)

ival-div: 12.0ms (20% of total)

ival-add: 6.0ms (10% of total)

const: 6.0ms (10% of total)

ival-cosh: 3.0ms (5% of total)

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

exact: 0.0ms (0% of total)

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

series52.0ms (0.4%)

Memory

-46.5MiB live, 64.3MiB allocated

Counts

21 → 64

Calls

Call 1

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

Outputs
(/ y (* x z))
(/ (+ (* 1/2 (/ (* (pow x 2) y) z)) (/ y z)) x)
(/ (+ (* (pow x 2) (+ (* 1/24 (/ (* (pow x 2) y) z)) (* 1/2 (/ y z)))) (/ y z)) x)
(/ (+ (* (pow x 2) (+ (* 1/2 (/ y z)) (* (pow x 2) (+ (* 1/720 (/ (* (pow x 2) y) z)) (* 1/24 (/ y z)))))) (/ y z)) x)
(/ y z)
(+ (* 1/2 (/ (* (pow x 2) y) z)) (/ y z))
(+ (* (pow x 2) (+ (* 1/24 (/ (* (pow x 2) y) z)) (* 1/2 (/ y z)))) (/ y z))
(+ (* (pow x 2) (+ (* 1/2 (/ y z)) (* (pow x 2) (+ (* 1/720 (/ (* (pow x 2) y) z)) (* 1/24 (/ y z)))))) (/ y z))
y
(+ y (* 1/2 (* (pow x 2) y)))
(+ y (* (pow x 2) (+ (* 1/24 (* (pow x 2) y)) (* 1/2 y))))
(+ y (* (pow x 2) (+ (* 1/2 y) (* (pow x 2) (+ (* 1/720 (* (pow x 2) y)) (* 1/24 y))))))
1
(+ 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)))))))
(* x z)
(/ y x)
(/ (+ y (* 1/2 (* (pow x 2) y))) x)
(/ (+ y (* (pow x 2) (+ (* 1/24 (* (pow x 2) y)) (* 1/2 y)))) x)
(/ (+ y (* (pow x 2) (+ (* 1/2 y) (* (pow x 2) (+ (* 1/720 (* (pow x 2) y)) (* 1/24 y)))))) x)
(/ 1 x)
(/ (+ 1 (* 1/2 (pow x 2))) x)
(/ (+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2))))) x)
(/ (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2))))))) x)
1/24
(+ 1/24 (* 1/720 (pow x 2)))
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z)))
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) z))
(* 1/2 (* y (+ (exp x) (/ 1 (exp x)))))
(* 1/2 (+ (exp x) (/ 1 (exp x))))
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) x))
(* 1/2 (* x y))
(* x (+ (* 1/2 y) (/ y (pow x 2))))
(* 1/2 x)
(* x (+ 1/2 (/ 1 (pow x 2))))
(* 1/24 (pow x 3))
(* (pow x 3) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))
(* (pow x 3) (+ 1/24 (+ (* 1/2 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))
(* 1/24 (* (pow x 3) y))
(* (pow x 3) (+ (* 1/24 y) (* 1/2 (/ y (pow x 2)))))
(* (pow x 3) (+ (* 1/24 y) (+ (* 1/2 (/ y (pow x 2))) (/ y (pow x 4)))))
(* 1/720 (pow x 5))
(* (pow x 5) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))
(* (pow x 5) (+ 1/720 (+ (/ 1/2 (pow x 4)) (* 1/24 (/ 1 (pow x 2))))))
(* (pow x 5) (+ 1/720 (+ (/ 1/2 (pow x 4)) (+ (* 1/24 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))
(* 1/720 (* (pow x 5) y))
(* (pow x 5) (+ (* 1/720 y) (* 1/24 (/ y (pow x 2)))))
(* (pow x 5) (+ (* 1/720 y) (+ (* 1/24 (/ y (pow x 2))) (* 1/2 (/ y (pow x 4))))))
(* (pow x 5) (+ (* 1/720 y) (+ (* 1/24 (/ y (pow x 2))) (+ (* 1/2 (/ y (pow x 4))) (/ y (pow x 6))))))
(* 1/720 (pow x 2))
(* (pow x 2) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))
(* -1 (* x (+ (* -1 (/ y (pow x 2))) (* -1/2 y))))
(* -1 (* (pow x 3) (- (* -1 (/ (+ 1/2 (/ 1 (pow x 2))) (pow x 2))) 1/24)))
(* -1 (* (pow x 3) (+ (* -1/2 (/ y (pow x 2))) (* -1/24 y))))
(* -1 (* (pow x 3) (+ (* -1 (/ y (pow x 4))) (+ (* -1/2 (/ y (pow x 2))) (* -1/24 y)))))
(* -1 (* (pow x 5) (- (* -1 (/ (+ 1/24 (* 1/2 (/ 1 (pow x 2)))) (pow x 2))) 1/720)))
(* -1 (* (pow x 5) (- (* -1 (/ (+ 1/2 (/ 1 (pow x 2))) (pow x 4))) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))))
(* -1 (* (pow x 5) (+ (* -1/24 (/ y (pow x 2))) (* -1/720 y))))
(* -1 (* (pow x 5) (+ (* -1/2 (/ y (pow x 4))) (+ (* -1/24 (/ y (pow x 2))) (* -1/720 y)))))
(* -1 (* (pow x 5) (+ (* -1 (/ y (pow x 6))) (+ (* -1/2 (/ y (pow x 4))) (+ (* -1/24 (/ y (pow x 2))) (* -1/720 y))))))
(* y (+ (* 1/2 x) (/ 1 x)))
(/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2)))))) x)
(/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))) x)

Calls

9 calls:

Time	Variable		Point	Expression
17.0ms	x	@	inf	((/ (/ (* y (cosh x)) z) x) (/ (* y (cosh x)) z) (* y (cosh x)) (cosh x) (/ (* (cosh x) (/ y x)) z) (/ y (* z x)) (* z x) (/ (* (cosh x) (/ y x)) z) (* (cosh x) (/ y x)) (* (+ (* 1/2 x) (/ 1 x)) y) (+ (* 1/2 x) (/ 1 x)) (/ (+ (* (+ (* 1/24 (* x x)) 1/2) (* x x)) 1) x) (/ (* (cosh x) (/ y x)) z) (* (cosh x) (/ y x)) (* (/ (+ (* (+ (* 1/24 (* x x)) 1/2) (* x x)) 1) x) y) (/ (+ (* (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (* x x)) 1) x) (/ (* (cosh x) (/ y x)) z) (* (cosh x) (/ y x)) (* (/ (+ (* (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (* x x)) 1) x) y) (/ 1 x) (+ (* 1/720 (* x x)) 1/24))
6.0ms	y	@	0	((/ (/ (* y (cosh x)) z) x) (/ (* y (cosh x)) z) (* y (cosh x)) (cosh x) (/ (* (cosh x) (/ y x)) z) (/ y (* z x)) (* z x) (/ (* (cosh x) (/ y x)) z) (* (cosh x) (/ y x)) (* (+ (* 1/2 x) (/ 1 x)) y) (+ (* 1/2 x) (/ 1 x)) (/ (+ (* (+ (* 1/24 (* x x)) 1/2) (* x x)) 1) x) (/ (* (cosh x) (/ y x)) z) (* (cosh x) (/ y x)) (* (/ (+ (* (+ (* 1/24 (* x x)) 1/2) (* x x)) 1) x) y) (/ (+ (* (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (* x x)) 1) x) (/ (* (cosh x) (/ y x)) z) (* (cosh x) (/ y x)) (* (/ (+ (* (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (* x x)) 1) x) y) (/ 1 x) (+ (* 1/720 (* x x)) 1/24))
6.0ms	y	@	-inf	((/ (/ (* y (cosh x)) z) x) (/ (* y (cosh x)) z) (* y (cosh x)) (cosh x) (/ (* (cosh x) (/ y x)) z) (/ y (* z x)) (* z x) (/ (* (cosh x) (/ y x)) z) (* (cosh x) (/ y x)) (* (+ (* 1/2 x) (/ 1 x)) y) (+ (* 1/2 x) (/ 1 x)) (/ (+ (* (+ (* 1/24 (* x x)) 1/2) (* x x)) 1) x) (/ (* (cosh x) (/ y x)) z) (* (cosh x) (/ y x)) (* (/ (+ (* (+ (* 1/24 (* x x)) 1/2) (* x x)) 1) x) y) (/ (+ (* (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (* x x)) 1) x) (/ (* (cosh x) (/ y x)) z) (* (cosh x) (/ y x)) (* (/ (+ (* (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (* x x)) 1) x) y) (/ 1 x) (+ (* 1/720 (* x x)) 1/24))
5.0ms	z	@	0	((/ (/ (* y (cosh x)) z) x) (/ (* y (cosh x)) z) (* y (cosh x)) (cosh x) (/ (* (cosh x) (/ y x)) z) (/ y (* z x)) (* z x) (/ (* (cosh x) (/ y x)) z) (* (cosh x) (/ y x)) (* (+ (* 1/2 x) (/ 1 x)) y) (+ (* 1/2 x) (/ 1 x)) (/ (+ (* (+ (* 1/24 (* x x)) 1/2) (* x x)) 1) x) (/ (* (cosh x) (/ y x)) z) (* (cosh x) (/ y x)) (* (/ (+ (* (+ (* 1/24 (* x x)) 1/2) (* x x)) 1) x) y) (/ (+ (* (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (* x x)) 1) x) (/ (* (cosh x) (/ y x)) z) (* (cosh x) (/ y x)) (* (/ (+ (* (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (* x x)) 1) x) y) (/ 1 x) (+ (* 1/720 (* x x)) 1/24))
5.0ms	x	@	-inf	((/ (/ (* y (cosh x)) z) x) (/ (* y (cosh x)) z) (* y (cosh x)) (cosh x) (/ (* (cosh x) (/ y x)) z) (/ y (* z x)) (* z x) (/ (* (cosh x) (/ y x)) z) (* (cosh x) (/ y x)) (* (+ (* 1/2 x) (/ 1 x)) y) (+ (* 1/2 x) (/ 1 x)) (/ (+ (* (+ (* 1/24 (* x x)) 1/2) (* x x)) 1) x) (/ (* (cosh x) (/ y x)) z) (* (cosh x) (/ y x)) (* (/ (+ (* (+ (* 1/24 (* x x)) 1/2) (* x x)) 1) x) y) (/ (+ (* (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (* x x)) 1) x) (/ (* (cosh x) (/ y x)) z) (* (cosh x) (/ y x)) (* (/ (+ (* (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (* x x)) 1) x) y) (/ 1 x) (+ (* 1/720 (* x x)) 1/24))

simplify296.0ms (2.5%)

Memory

36.3MiB live, 255.9MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	192	899
1	604	887
2	1972	833
3	4792	805
0	8271	753

Stop Event

1×	iter limit
1×	node limit

Counts

64 → 63

Calls

Call 1

Inputs
(/ y (* x z))
(/ (+ (* 1/2 (/ (* (pow x 2) y) z)) (/ y z)) x)
(/ (+ (* (pow x 2) (+ (* 1/24 (/ (* (pow x 2) y) z)) (* 1/2 (/ y z)))) (/ y z)) x)
(/ (+ (* (pow x 2) (+ (* 1/2 (/ y z)) (* (pow x 2) (+ (* 1/720 (/ (* (pow x 2) y) z)) (* 1/24 (/ y z)))))) (/ y z)) x)
(/ y z)
(+ (* 1/2 (/ (* (pow x 2) y) z)) (/ y z))
(+ (* (pow x 2) (+ (* 1/24 (/ (* (pow x 2) y) z)) (* 1/2 (/ y z)))) (/ y z))
(+ (* (pow x 2) (+ (* 1/2 (/ y z)) (* (pow x 2) (+ (* 1/720 (/ (* (pow x 2) y) z)) (* 1/24 (/ y z)))))) (/ y z))
y
(+ y (* 1/2 (* (pow x 2) y)))
(+ y (* (pow x 2) (+ (* 1/24 (* (pow x 2) y)) (* 1/2 y))))
(+ y (* (pow x 2) (+ (* 1/2 y) (* (pow x 2) (+ (* 1/720 (* (pow x 2) y)) (* 1/24 y))))))
1
(+ 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)))))))
(* x z)
(/ y x)
(/ (+ y (* 1/2 (* (pow x 2) y))) x)
(/ (+ y (* (pow x 2) (+ (* 1/24 (* (pow x 2) y)) (* 1/2 y)))) x)
(/ (+ y (* (pow x 2) (+ (* 1/2 y) (* (pow x 2) (+ (* 1/720 (* (pow x 2) y)) (* 1/24 y)))))) x)
(/ 1 x)
(/ (+ 1 (* 1/2 (pow x 2))) x)
(/ (+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2))))) x)
(/ (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2))))))) x)
1/24
(+ 1/24 (* 1/720 (pow x 2)))
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z)))
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) z))
(* 1/2 (* y (+ (exp x) (/ 1 (exp x)))))
(* 1/2 (+ (exp x) (/ 1 (exp x))))
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) x))
(* 1/2 (* x y))
(* x (+ (* 1/2 y) (/ y (pow x 2))))
(* 1/2 x)
(* x (+ 1/2 (/ 1 (pow x 2))))
(* 1/24 (pow x 3))
(* (pow x 3) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))
(* (pow x 3) (+ 1/24 (+ (* 1/2 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))
(* 1/24 (* (pow x 3) y))
(* (pow x 3) (+ (* 1/24 y) (* 1/2 (/ y (pow x 2)))))
(* (pow x 3) (+ (* 1/24 y) (+ (* 1/2 (/ y (pow x 2))) (/ y (pow x 4)))))
(* 1/720 (pow x 5))
(* (pow x 5) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))
(* (pow x 5) (+ 1/720 (+ (/ 1/2 (pow x 4)) (* 1/24 (/ 1 (pow x 2))))))
(* (pow x 5) (+ 1/720 (+ (/ 1/2 (pow x 4)) (+ (* 1/24 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))
(* 1/720 (* (pow x 5) y))
(* (pow x 5) (+ (* 1/720 y) (* 1/24 (/ y (pow x 2)))))
(* (pow x 5) (+ (* 1/720 y) (+ (* 1/24 (/ y (pow x 2))) (* 1/2 (/ y (pow x 4))))))
(* (pow x 5) (+ (* 1/720 y) (+ (* 1/24 (/ y (pow x 2))) (+ (* 1/2 (/ y (pow x 4))) (/ y (pow x 6))))))
(* 1/720 (pow x 2))
(* (pow x 2) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))
(* -1 (* x (+ (* -1 (/ y (pow x 2))) (* -1/2 y))))
(* -1 (* (pow x 3) (- (* -1 (/ (+ 1/2 (/ 1 (pow x 2))) (pow x 2))) 1/24)))
(* -1 (* (pow x 3) (+ (* -1/2 (/ y (pow x 2))) (* -1/24 y))))
(* -1 (* (pow x 3) (+ (* -1 (/ y (pow x 4))) (+ (* -1/2 (/ y (pow x 2))) (* -1/24 y)))))
(* -1 (* (pow x 5) (- (* -1 (/ (+ 1/24 (* 1/2 (/ 1 (pow x 2)))) (pow x 2))) 1/720)))
(* -1 (* (pow x 5) (- (* -1 (/ (+ 1/2 (/ 1 (pow x 2))) (pow x 4))) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))))
(* -1 (* (pow x 5) (+ (* -1/24 (/ y (pow x 2))) (* -1/720 y))))
(* -1 (* (pow x 5) (+ (* -1/2 (/ y (pow x 4))) (+ (* -1/24 (/ y (pow x 2))) (* -1/720 y)))))
(* -1 (* (pow x 5) (+ (* -1 (/ y (pow x 6))) (+ (* -1/2 (/ y (pow x 4))) (+ (* -1/24 (/ y (pow x 2))) (* -1/720 y))))))
(* y (+ (* 1/2 x) (/ 1 x)))
(/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2)))))) x)
(/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))) x)

Outputs
(/ y (* x z))
(/.f64 (/.f64 y x) z)
(/ (+ (* 1/2 (/ (* (pow x 2) y) z)) (/ y z)) x)
(/.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)) (/.f64 y z)) x)
(/ (+ (* (pow x 2) (+ (* 1/24 (/ (* (pow x 2) y) z)) (* 1/2 (/ y z)))) (/ y z)) x)
(/.f64 (.f64 (/.f64 y z) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) x)
(/ (+ (* (pow x 2) (+ (* 1/2 (/ y z)) (* (pow x 2) (+ (* 1/720 (/ (* (pow x 2) y) z)) (* 1/24 (/ y z)))))) (/ y z)) x)
(/.f64 (fma.f64 (.f64 (/.f64 y z) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/720 binary64) #s(literal 1/2 binary64))) (.f64 x x) (*.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/24 binary64) #s(literal 1 binary64)) (/.f64 y z))) x)
(/ y z)
(/.f64 y z)
(+ (* 1/2 (/ (* (pow x 2) y) z)) (/ y z))
(.f64 (fma.f64 (.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)) (/.f64 y z))
(+ (* (pow x 2) (+ (* 1/24 (/ (* (pow x 2) y) z)) (* 1/2 (/ y z)))) (/ y z))
(.f64 (/.f64 y z) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))
(+ (* (pow x 2) (+ (* 1/2 (/ y z)) (* (pow x 2) (+ (* 1/720 (/ (* (pow x 2) y) z)) (* 1/24 (/ y z)))))) (/ y z))
(fma.f64 (.f64 (/.f64 y z) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/720 binary64) #s(literal 1/2 binary64))) (.f64 x x) (*.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/24 binary64) #s(literal 1 binary64)) (/.f64 y z)))
y
(+ y (* 1/2 (* (pow x 2) y)))
(.f64 (fma.f64 (.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)) y)
(+ y (* (pow x 2) (+ (* 1/24 (* (pow x 2) y)) (* 1/2 y))))
(.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) y)
(+ y (* (pow x 2) (+ (* 1/2 y) (* (pow x 2) (+ (* 1/720 (* (pow x 2) y)) (* 1/24 y))))))
(.f64 (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)) y)
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) (+ 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))
(* x z)
(*.f64 z x)
(/ y x)
(/.f64 y x)
(/ (+ y (* 1/2 (* (pow x 2) y))) x)
(.f64 (fma.f64 (.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)) (/.f64 y x))
(/ (+ y (* (pow x 2) (+ (* 1/24 (* (pow x 2) y)) (* 1/2 y)))) x)
(.f64 (/.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) x) y)
(/ (+ y (* (pow x 2) (+ (* 1/2 y) (* (pow x 2) (+ (* 1/720 (* (pow x 2) y)) (* 1/24 y)))))) x)
(.f64 (/.f64 (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)) x) y)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ (+ 1 (* 1/2 (pow x 2))) x)
(/.f64 (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)) x)
(/ (+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2))))) x)
(/.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 x x) #s(literal 1/2 binary64)) (.f64 x x) #s(literal 1 binary64)) x)
(/ (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2))))))) x)
(/.f64 (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)) x)
1/24
#s(literal 1/24 binary64)
(+ 1/24 (* 1/720 (pow x 2)))
(fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64))
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z)))
(.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) z) x) (.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) y))
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) z))
(.f64 (/.f64 #s(literal 1/2 binary64) z) (.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) y))
(* 1/2 (* y (+ (exp x) (/ 1 (exp x)))))
(.f64 (.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) y) #s(literal 1/2 binary64))
(* 1/2 (+ (exp x) (/ 1 (exp x))))
(*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) #s(literal 1/2 binary64))
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) x))
(.f64 (/.f64 #s(literal 1/2 binary64) x) (.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) y))
(* 1/2 (* x y))
(.f64 (.f64 #s(literal 1/2 binary64) x) y)
(* x (+ (* 1/2 y) (/ y (pow x 2))))
(fma.f64 (*.f64 #s(literal 1/2 binary64) x) y (/.f64 y x))
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)
(* x (+ 1/2 (/ 1 (pow x 2))))
(fma.f64 #s(literal 1/2 binary64) x (/.f64 #s(literal 1 binary64) x))
(* 1/24 (pow x 3))
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/24 binary64))
(* (pow x 3) (+ 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 3 binary64)))
(* (pow x 3) (+ 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 3 binary64)) (/.f64 #s(literal 1 binary64) x))
(* 1/24 (* (pow x 3) y))
(.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) y) #s(literal 1/24 binary64))
(* (pow x 3) (+ (* 1/24 y) (* 1/2 (/ y (pow x 2)))))
(.f64 (.f64 y (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) #s(literal 1/24 binary64))) (pow.f64 x #s(literal 3 binary64)))
(* (pow x 3) (+ (* 1/24 y) (+ (* 1/2 (/ y (pow x 2))) (/ y (pow x 4)))))
(fma.f64 (.f64 y (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 x x)) #s(literal 1/24 binary64))) (pow.f64 x #s(literal 3 binary64)) (/.f64 y x))
(* 1/720 (pow x 5))
(*.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 1/720 binary64))
(* (pow x 5) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))
(.f64 (+.f64 (/.f64 #s(literal 1/24 binary64) (.f64 x x)) #s(literal 1/720 binary64)) (pow.f64 x #s(literal 5 binary64)))
(* (pow x 5) (+ 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 5 binary64)))
(* (pow x 5) (+ 1/720 (+ (/ 1/2 (pow x 4)) (+ (* 1/24 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))
(.f64 (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64))) #s(literal 1/720 binary64)) (+.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 4 binary64))) (/.f64 #s(literal 1/24 binary64) (.f64 x x)))) (pow.f64 x #s(literal 5 binary64)))
(* 1/720 (* (pow x 5) y))
(.f64 (.f64 (pow.f64 x #s(literal 5 binary64)) y) #s(literal 1/720 binary64))
(* (pow x 5) (+ (* 1/720 y) (* 1/24 (/ y (pow x 2)))))
(.f64 (.f64 y (+.f64 (/.f64 #s(literal 1/24 binary64) (*.f64 x x)) #s(literal 1/720 binary64))) (pow.f64 x #s(literal 5 binary64)))
(* (pow x 5) (+ (* 1/720 y) (+ (* 1/24 (/ y (pow x 2))) (* 1/2 (/ y (pow x 4))))))
(.f64 (.f64 y (+.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 5 binary64)))
(* (pow x 5) (+ (* 1/720 y) (+ (* 1/24 (/ y (pow x 2))) (+ (* 1/2 (/ y (pow x 4))) (/ y (pow x 6))))))
(.f64 (fma.f64 y (+.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))) (/.f64 y (pow.f64 x #s(literal 6 binary64)))) (pow.f64 x #s(literal 5 binary64)))
(* 1/720 (pow x 2))
(.f64 #s(literal 1/720 binary64) (.f64 x x))
(* (pow x 2) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))
(fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64))
(* -1 (* x (+ (* -1 (/ y (pow x 2))) (* -1/2 y))))
(fma.f64 (*.f64 #s(literal 1/2 binary64) x) y (/.f64 y x))
(* -1 (* (pow x 3) (- (* -1 (/ (+ 1/2 (/ 1 (pow x 2))) (pow x 2))) 1/24)))
(*.f64 (-.f64 (/.f64 (/.f64 (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) #s(literal 1/2 binary64)) x) x) #s(literal -1/24 binary64)) (pow.f64 x #s(literal 3 binary64)))
(* -1 (* (pow x 3) (+ (* -1/2 (/ y (pow x 2))) (* -1/24 y))))
(.f64 (.f64 y (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) #s(literal 1/24 binary64))) (pow.f64 x #s(literal 3 binary64)))
(* -1 (* (pow x 3) (+ (* -1 (/ y (pow x 4))) (+ (* -1/2 (/ y (pow x 2))) (* -1/24 y)))))
(fma.f64 (.f64 y (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 x x)) #s(literal 1/24 binary64))) (pow.f64 x #s(literal 3 binary64)) (/.f64 y x))
(* -1 (* (pow x 5) (- (* -1 (/ (+ 1/24 (* 1/2 (/ 1 (pow x 2)))) (pow x 2))) 1/720)))
(.f64 (-.f64 (/.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 x x)) #s(literal 1/24 binary64)) x) x) #s(literal -1/720 binary64)) (pow.f64 x #s(literal 5 binary64)))
(* -1 (* (pow x 5) (- (* -1 (/ (+ 1/2 (/ 1 (pow x 2))) (pow x 4))) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))))
(.f64 (-.f64 (/.f64 (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) #s(literal 1/2 binary64)) (pow.f64 x #s(literal 4 binary64))) (-.f64 #s(literal -1/720 binary64) (/.f64 #s(literal 1/24 binary64) (.f64 x x)))) (pow.f64 x #s(literal 5 binary64)))
(* -1 (* (pow x 5) (+ (* -1/24 (/ y (pow x 2))) (* -1/720 y))))
(.f64 (.f64 y (+.f64 (/.f64 #s(literal 1/24 binary64) (*.f64 x x)) #s(literal 1/720 binary64))) (pow.f64 x #s(literal 5 binary64)))
(* -1 (* (pow x 5) (+ (* -1/2 (/ y (pow x 4))) (+ (* -1/24 (/ y (pow x 2))) (* -1/720 y)))))
(.f64 (.f64 y (+.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 5 binary64)))
(* -1 (* (pow x 5) (+ (* -1 (/ y (pow x 6))) (+ (* -1/2 (/ y (pow x 4))) (+ (* -1/24 (/ y (pow x 2))) (* -1/720 y))))))
(.f64 (fma.f64 y (+.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))) (/.f64 y (pow.f64 x #s(literal 6 binary64)))) (pow.f64 x #s(literal 5 binary64)))
(* y (+ (* 1/2 x) (/ 1 x)))
(fma.f64 (*.f64 #s(literal 1/2 binary64) x) y (/.f64 y x))
(/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2)))))) x)
(.f64 (/.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) x) y)
(/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))) x)
(.f64 (/.f64 (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)) x) y)

rewrite211.0ms (1.8%)

Memory

-10.9MiB live, 239.2MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	37	265
0	65	265
1	249	265
2	1662	265
0	8588	265

Stop Event

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

Counts

21 → 611

Calls

Call 1

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

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

eval186.0ms (1.5%)

Memory: -3.0MiB live, 229.4MiB allocated
Compiler: Compiled 18 340 to 2 583 computations (85.9% saved)

prune35.0ms (0.3%)

Memory

9.5MiB live, 92.5MiB allocated

Pruning

26 alts after pruning (24 fresh and 2 done)

	Pruned	Kept	Total
New	648	17	665
Fresh	3	7	10
Picked	3	2	5
Done	0	0	0
Total	654	26	680

Accuracy

100.0%

Counts

680 → 26

Alt Table

Click to see full alt table

Status	Accuracy	Program
	89.3%	(/.f64 (/.f64 (.f64 y #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)))) z) x)
	81.3%	(/.f64 (/.f64 (.f64 y #s(approx (cosh x) (fma.f64 (.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)))) z) x)
	86.6%	(/.f64 (.f64 (cosh.f64 x) y) (.f64 z x))
▶	81.6%	(/.f64 (.f64 #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 y x)) z)
	80.1%	(/.f64 (.f64 #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 y x)) z)
	72.2%	(/.f64 (.f64 #s(approx (cosh x) (fma.f64 (.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) (/.f64 y x)) z)
	57.2%	(/.f64 #s(approx (/ (* y (cosh x)) z) (/.f64 y z)) x)
	75.6%	(/.f64 #s(approx (/ (* y (cosh x)) z) (.f64 (fma.f64 (.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)) (/.f64 y z))) x)
▶	83.2%	(/.f64 #s(approx (/ (* y (cosh x)) z) (.f64 (/.f64 y z) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))) x)
	87.9%	(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) y) x)) z)
	53.6%	(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 y x)) z)
	89.8%	(/.f64 #s(approx (* (cosh x) (/ y x)) (.f64 (/.f64 (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)) x) y)) z)
	89.8%	(/.f64 #s(approx (* (cosh x) (/ y x)) (.f64 (/.f64 (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)) x) y)) z)
✓	87.9%	(/.f64 #s(approx (* (cosh x) (/ y x)) (.f64 (/.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) x) y)) z)
	89.8%	(/.f64 #s(approx (* (cosh x) (/ y x)) (.f64 (.f64 (neg.f64 (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) x)) y)) z)
▶	24.0%	(/.f64 #s(approx (* (cosh x) (/ y x)) (.f64 #s(approx (+ ( 1/2 x) (/ 1 x)) (*.f64 #s(literal 1/2 binary64) x)) y)) z)
	89.4%	(/.f64 #s(literal 1 binary64) (/.f64 z #s(approx (* (cosh x) (/ y x)) (.f64 (/.f64 (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)) x) y))))
▶	94.4%	(/.f64 #s(literal -1 binary64) (.f64 (/.f64 z (.f64 (cosh.f64 x) y)) (neg.f64 x)))
	87.8%	(.f64 (neg.f64 #s(approx ( (cosh x) (/ y x)) (.f64 (/.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) x) y))) (/.f64 #s(literal -1 binary64) z))
✓	54.2%	#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 y (*.f64 z x)))
	53.7%	#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 x y) z)))
▶	64.6%	#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (fma.f64 #s(literal 1/2 binary64) x (/.f64 #s(literal 1 binary64) x)) (/.f64 y z)))
	82.3%	#s(approx (/ (* (cosh x) (/ y x)) z) (.f64 (/.f64 (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)) z) (/.f64 y x)))
	87.1%	#s(approx (/ (* (cosh x) (/ y x)) z) (.f64 (/.f64 (/.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) z) x) y))
	57.2%	#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 y (neg.f64 z))))
	54.0%	#s(approx (/ (* (cosh x) (/ y x)) z) (.f64 (neg.f64 y) (/.f64 #s(literal -1 binary64) (.f64 z x))))

Compiler

Compiled 1 064 to 740 computations (30.5% saved)

simplify103.0ms (0.9%)

Memory

9.1MiB live, 163.4MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
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(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 y x))
cost-diff	0	(/.f64 (.f64 #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 y x)) z)
cost-diff	0	(/.f64 y z)
cost-diff	0	(.f64 (/.f64 y z) (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 (/ (* y (cosh x)) z) (.f64 (/.f64 y z) (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(approx (/ (* y (cosh x)) z) (.f64 (/.f64 y z) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))) x)
cost-diff	0	(/.f64 #s(literal 1 binary64) x)
cost-diff	0	(fma.f64 #s(literal 1/2 binary64) x (/.f64 #s(literal 1 binary64) x))
cost-diff	0	(*.f64 (fma.f64 #s(literal 1/2 binary64) x (/.f64 #s(literal 1 binary64) x)) (/.f64 y z))
cost-diff	0	#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (fma.f64 #s(literal 1/2 binary64) x (/.f64 #s(literal 1 binary64) x)) (/.f64 y z)))
cost-diff	0	#s(approx (+ (* 1/2 x) (/ 1 x)) (*.f64 #s(literal 1/2 binary64) x))
cost-diff	0	(.f64 #s(approx (+ ( 1/2 x) (/ 1 x)) (*.f64 #s(literal 1/2 binary64) x)) y)
cost-diff	0	#s(approx (* (cosh x) (/ y x)) (.f64 #s(approx (+ ( 1/2 x) (/ 1 x)) (*.f64 #s(literal 1/2 binary64) x)) y))
cost-diff	0	(/.f64 #s(approx (* (cosh x) (/ y x)) (.f64 #s(approx (+ ( 1/2 x) (/ 1 x)) (*.f64 #s(literal 1/2 binary64) x)) y)) z)
cost-diff	0	(*.f64 (cosh.f64 x) y)
cost-diff	0	(/.f64 z (*.f64 (cosh.f64 x) y))
cost-diff	0	(.f64 (/.f64 z (.f64 (cosh.f64 x) y)) (neg.f64 x))
cost-diff	3	(/.f64 #s(literal -1 binary64) (.f64 (/.f64 z (.f64 (cosh.f64 x) y)) (neg.f64 x)))

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	46	356
0	75	356
1	139	356
2	298	355
3	915	353
4	3058	353
5	4883	353
0	8162	353

Stop Event

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

Calls

Call 1

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

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

localize241.0ms (2%)

Memory

-7.4MiB live, 364.1MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.00390625	(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	0.0078125	(fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64))
accuracy	0.48368545623983417	#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	3.146624079283566	(/.f64 (.f64 #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 y x)) z)
accuracy	0.0	(*.f64 x x)
accuracy	0.0078125	(fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64))
accuracy	0.48661159270014076	#s(approx (/ (* y (cosh x)) z) (.f64 (/.f64 y z) (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	3.4530589329669104	(/.f64 #s(approx (/ (* y (cosh x)) z) (.f64 (/.f64 y z) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))) x)
accuracy	0.0	(/.f64 y z)
accuracy	0.0	(/.f64 #s(literal 1 binary64) x)
accuracy	0.4869018130849123	#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (fma.f64 #s(literal 1/2 binary64) x (/.f64 #s(literal 1 binary64) x)) (/.f64 y z)))
accuracy	3.4647776829669104	(*.f64 (fma.f64 #s(literal 1/2 binary64) x (/.f64 #s(literal 1 binary64) x)) (/.f64 y z))
accuracy	0.10546875	(.f64 #s(approx (+ ( 1/2 x) (/ 1 x)) (*.f64 #s(literal 1/2 binary64) x)) y)
accuracy	0.4879448052936596	#s(approx (* (cosh x) (/ y x)) (.f64 #s(approx (+ ( 1/2 x) (/ 1 x)) (*.f64 #s(literal 1/2 binary64) x)) y))
accuracy	3.146624079283566	(/.f64 #s(approx (* (cosh x) (/ y x)) (.f64 #s(approx (+ ( 1/2 x) (/ 1 x)) (*.f64 #s(literal 1/2 binary64) x)) y)) z)
accuracy	34.24812154835668	#s(approx (+ (* 1/2 x) (/ 1 x)) (*.f64 #s(literal 1/2 binary64) x))
accuracy	0.0	(neg.f64 x)
accuracy	0.0	(cosh.f64 x)
accuracy	0.3220105395007896	(/.f64 #s(literal -1 binary64) (.f64 (/.f64 z (.f64 (cosh.f64 x) y)) (neg.f64 x)))
accuracy	3.310109206827867	(.f64 (/.f64 z (.f64 (cosh.f64 x) y)) (neg.f64 x))

Samples

120.0ms	112×	2	exit
86.0ms	143×	0	valid
4.0ms	1×	5	exit

Compiler

Compiled 245 to 40 computations (83.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 119.0ms

ival-add: 43.0ms (36.3% of total)

ival-mult: 25.0ms (21.1% of total)

ival-div: 22.0ms (18.6% of total)

const: 12.0ms (10.1% of total)

adjust: 11.0ms (9.3% of total)

ival-cosh: 3.0ms (2.5% of total)

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

exact: 0.0ms (0% of total)

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

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

series53.0ms (0.4%)

Memory

-27.2MiB live, 92.2MiB allocated

Counts

26 → 69

Calls

Call 1

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

Outputs
(/ y (* x z))
(/ (+ (* 1/2 (/ (* (pow x 2) y) z)) (/ y z)) x)
(/ (+ (* (pow x 2) (+ (* 1/24 (/ (* (pow x 2) y) z)) (* 1/2 (/ y z)))) (/ y z)) x)
(/ (+ (* (pow x 2) (+ (* 1/2 (/ y z)) (* (pow x 2) (+ (* 1/720 (/ (* (pow x 2) y) z)) (* 1/24 (/ y z)))))) (/ y z)) x)
(* -1 (/ (* x z) y))
(* x (+ (* -1 (/ z y)) (* 1/2 (/ (* (pow x 2) z) y))))
(* x (+ (* -1 (/ z y)) (* (pow x 2) (+ (* 1/2 (/ z y)) (* (pow x 2) (+ (* -1/4 (/ z y)) (* 1/24 (/ z y))))))))
(* x (+ (* -1 (/ z y)) (* (pow x 2) (+ (* 1/2 (/ z y)) (* (pow x 2) (+ (* -1/4 (/ z y)) (+ (* 1/24 (/ z y)) (* (pow x 2) (+ (* -1/2 (+ (* -1/4 (/ z y)) (* 1/24 (/ z y)))) (+ (* -1/48 (/ z y)) (* 1/720 (/ z y))))))))))))
(/ z y)
(+ (* -1/2 (/ (* (pow x 2) z) y)) (/ z y))
(+ (* (pow x 2) (- (* -1 (* (pow x 2) (+ (* -1/4 (/ z y)) (* 1/24 (/ z y))))) (* 1/2 (/ z y)))) (/ z y))
(+ (* (pow x 2) (- (* (pow x 2) (- (* -1 (* (pow x 2) (+ (* -1/2 (+ (* -1/4 (/ z y)) (* 1/24 (/ z y)))) (+ (* -1/48 (/ z y)) (* 1/720 (/ z y)))))) (+ (* -1/4 (/ z y)) (* 1/24 (/ z y))))) (* 1/2 (/ z y)))) (/ z y))
y
(+ y (* 1/2 (* (pow x 2) y)))
(+ y (* (pow x 2) (+ (* 1/24 (* (pow x 2) y)) (* 1/2 y))))
(+ y (* (pow x 2) (+ (* 1/2 y) (* (pow x 2) (+ (* 1/720 (* (pow x 2) y)) (* 1/24 y))))))
(/ y x)
(/ (+ y (* 1/2 (* (pow x 2) y))) x)
(/ (+ y (* (pow x 2) (+ (* 1/24 (* (pow x 2) y)) (* 1/2 y)))) x)
(/ (+ y (* (pow x 2) (+ (* 1/2 y) (* (pow x 2) (+ (* 1/720 (* (pow x 2) y)) (* 1/24 y)))))) x)
(/ 1 x)
(/ (+ 1 (* 1/2 (pow x 2))) x)
(/ y z)
(+ (* 1/2 (/ (* (pow x 2) y) z)) (/ y z))
(+ (* (pow x 2) (+ (* 1/24 (/ (* (pow x 2) y) z)) (* 1/2 (/ y z)))) (/ y z))
(+ (* (pow x 2) (+ (* 1/2 (/ y z)) (* (pow x 2) (+ (* 1/720 (/ (* (pow x 2) y) z)) (* 1/24 (/ y z)))))) (/ y z))
1
(+ 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 x)
1/2
(+ 1/2 (* 1/24 (pow x 2)))
(pow x 2)
1/24
(+ 1/24 (* 1/720 (pow x 2)))
(+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z)))
(* -2 (/ (* x z) (* y (+ (exp x) (/ 1 (exp x))))))
(* 2 (/ z (* y (+ (exp x) (/ 1 (exp x))))))
(* 1/2 (* y (+ (exp x) (/ 1 (exp x)))))
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) x))
(* 1/2 (* x y))
(* x (+ (* 1/2 y) (/ y (pow x 2))))
(* 1/2 x)
(* x (+ 1/2 (/ 1 (pow x 2))))
(* 1/2 (/ (* x y) z))
(* x (+ (* 1/2 (/ y z)) (/ y (* (pow x 2) z))))
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) z))
(* 1/24 (/ (* (pow x 4) y) z))
(* (pow x 4) (+ (* 1/24 (/ y z)) (* 1/2 (/ y (* (pow x 2) z)))))
(* (pow x 4) (+ (* 1/24 (/ y z)) (+ (* 1/2 (/ y (* (pow x 2) z))) (/ y (* (pow x 4) z)))))
(* 1/2 (+ (exp x) (/ 1 (exp x))))
(* 1/720 (pow x 6))
(* (pow x 6) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))
(* (pow x 6) (+ 1/720 (+ (/ 1/2 (pow x 4)) (* 1/24 (/ 1 (pow x 2))))))
(* (pow x 6) (+ 1/720 (+ (/ 1/2 (pow x 4)) (+ (* 1/24 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))
(* 1/24 (pow x 2))
(* (pow x 2) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))
(* 1/720 (pow x 2))
(* (pow x 2) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))
(* 1/720 (pow x 4))
(* (pow x 4) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 1/720 (+ (/ 1/2 (pow x 4)) (* 1/24 (/ 1 (pow x 2))))))
(* -1 (* x (+ (* -1 (/ y (pow x 2))) (* -1/2 y))))
(* -1 (* x (+ (* -1 (/ y (* (pow x 2) z))) (* -1/2 (/ y z)))))
(* y (+ (* 1/2 x) (/ 1 x)))
(/ (* y (+ (* 1/2 x) (/ 1 x))) z)
(/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2)))))) z)

Calls

9 calls:

Time	Variable		Point	Expression
13.0ms	y	@	0	((/ -1 (* (/ z (* (cosh x) y)) (neg x))) (* (/ z (* (cosh x) y)) (neg x)) (/ z (* (cosh x) y)) (* (cosh x) y) (/ (* (cosh x) (/ y x)) z) (* (cosh x) (/ y x)) (* (+ (* 1/2 x) (/ 1 x)) y) (+ (* 1/2 x) (/ 1 x)) (/ (* (cosh x) (/ y x)) z) (* (+ (* 1/2 x) (/ 1 x)) (/ y z)) (+ (* 1/2 x) (/ 1 x)) (/ 1 x) (/ (/ (* y (cosh x)) z) x) (/ (* y (cosh x)) z) (* (/ y z) (+ (* (+ (* 1/24 (* x x)) 1/2) (* x x)) 1)) (/ y z) (/ (* (cosh x) (/ y x)) z) (* (cosh x) (/ y x)) (cosh x) (+ (* (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (* x x)) 1) (cosh x) (neg x) (+ (* 1/24 (* x x)) 1/2) (* x x) (+ (* 1/720 (* x x)) 1/24) (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2))
6.0ms	x	@	0	((/ -1 (* (/ z (* (cosh x) y)) (neg x))) (* (/ z (* (cosh x) y)) (neg x)) (/ z (* (cosh x) y)) (* (cosh x) y) (/ (* (cosh x) (/ y x)) z) (* (cosh x) (/ y x)) (* (+ (* 1/2 x) (/ 1 x)) y) (+ (* 1/2 x) (/ 1 x)) (/ (* (cosh x) (/ y x)) z) (* (+ (* 1/2 x) (/ 1 x)) (/ y z)) (+ (* 1/2 x) (/ 1 x)) (/ 1 x) (/ (/ (* y (cosh x)) z) x) (/ (* y (cosh x)) z) (* (/ y z) (+ (* (+ (* 1/24 (* x x)) 1/2) (* x x)) 1)) (/ y z) (/ (* (cosh x) (/ y x)) z) (* (cosh x) (/ y x)) (cosh x) (+ (* (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (* x x)) 1) (cosh x) (neg x) (+ (* 1/24 (* x x)) 1/2) (* x x) (+ (* 1/720 (* x x)) 1/24) (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2))
6.0ms	y	@	-inf	((/ -1 (* (/ z (* (cosh x) y)) (neg x))) (* (/ z (* (cosh x) y)) (neg x)) (/ z (* (cosh x) y)) (* (cosh x) y) (/ (* (cosh x) (/ y x)) z) (* (cosh x) (/ y x)) (* (+ (* 1/2 x) (/ 1 x)) y) (+ (* 1/2 x) (/ 1 x)) (/ (* (cosh x) (/ y x)) z) (* (+ (* 1/2 x) (/ 1 x)) (/ y z)) (+ (* 1/2 x) (/ 1 x)) (/ 1 x) (/ (/ (* y (cosh x)) z) x) (/ (* y (cosh x)) z) (* (/ y z) (+ (* (+ (* 1/24 (* x x)) 1/2) (* x x)) 1)) (/ y z) (/ (* (cosh x) (/ y x)) z) (* (cosh x) (/ y x)) (cosh x) (+ (* (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (* x x)) 1) (cosh x) (neg x) (+ (* 1/24 (* x x)) 1/2) (* x x) (+ (* 1/720 (* x x)) 1/24) (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2))
5.0ms	z	@	inf	((/ -1 (* (/ z (* (cosh x) y)) (neg x))) (* (/ z (* (cosh x) y)) (neg x)) (/ z (* (cosh x) y)) (* (cosh x) y) (/ (* (cosh x) (/ y x)) z) (* (cosh x) (/ y x)) (* (+ (* 1/2 x) (/ 1 x)) y) (+ (* 1/2 x) (/ 1 x)) (/ (* (cosh x) (/ y x)) z) (* (+ (* 1/2 x) (/ 1 x)) (/ y z)) (+ (* 1/2 x) (/ 1 x)) (/ 1 x) (/ (/ (* y (cosh x)) z) x) (/ (* y (cosh x)) z) (* (/ y z) (+ (* (+ (* 1/24 (* x x)) 1/2) (* x x)) 1)) (/ y z) (/ (* (cosh x) (/ y x)) z) (* (cosh x) (/ y x)) (cosh x) (+ (* (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (* x x)) 1) (cosh x) (neg x) (+ (* 1/24 (* x x)) 1/2) (* x x) (+ (* 1/720 (* x x)) 1/24) (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2))
4.0ms	x	@	inf	((/ -1 (* (/ z (* (cosh x) y)) (neg x))) (* (/ z (* (cosh x) y)) (neg x)) (/ z (* (cosh x) y)) (* (cosh x) y) (/ (* (cosh x) (/ y x)) z) (* (cosh x) (/ y x)) (* (+ (* 1/2 x) (/ 1 x)) y) (+ (* 1/2 x) (/ 1 x)) (/ (* (cosh x) (/ y x)) z) (* (+ (* 1/2 x) (/ 1 x)) (/ y z)) (+ (* 1/2 x) (/ 1 x)) (/ 1 x) (/ (/ (* y (cosh x)) z) x) (/ (* y (cosh x)) z) (* (/ y z) (+ (* (+ (* 1/24 (* x x)) 1/2) (* x x)) 1)) (/ y z) (/ (* (cosh x) (/ y x)) z) (* (cosh x) (/ y x)) (cosh x) (+ (* (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (* x x)) 1) (cosh x) (neg x) (+ (* 1/24 (* x x)) 1/2) (* x x) (+ (* 1/720 (* x x)) 1/24) (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2))

simplify198.0ms (1.7%)

Memory

32.1MiB live, 188.7MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	192	899
1	638	883
2	2036	814
3	5239	782
0	8281	725

Stop Event

1×	iter limit
1×	node limit

Counts

69 → 68

Calls

Call 1

Inputs
(/ y (* x z))
(/ (+ (* 1/2 (/ (* (pow x 2) y) z)) (/ y z)) x)
(/ (+ (* (pow x 2) (+ (* 1/24 (/ (* (pow x 2) y) z)) (* 1/2 (/ y z)))) (/ y z)) x)
(/ (+ (* (pow x 2) (+ (* 1/2 (/ y z)) (* (pow x 2) (+ (* 1/720 (/ (* (pow x 2) y) z)) (* 1/24 (/ y z)))))) (/ y z)) x)
(* -1 (/ (* x z) y))
(* x (+ (* -1 (/ z y)) (* 1/2 (/ (* (pow x 2) z) y))))
(* x (+ (* -1 (/ z y)) (* (pow x 2) (+ (* 1/2 (/ z y)) (* (pow x 2) (+ (* -1/4 (/ z y)) (* 1/24 (/ z y))))))))
(* x (+ (* -1 (/ z y)) (* (pow x 2) (+ (* 1/2 (/ z y)) (* (pow x 2) (+ (* -1/4 (/ z y)) (+ (* 1/24 (/ z y)) (* (pow x 2) (+ (* -1/2 (+ (* -1/4 (/ z y)) (* 1/24 (/ z y)))) (+ (* -1/48 (/ z y)) (* 1/720 (/ z y))))))))))))
(/ z y)
(+ (* -1/2 (/ (* (pow x 2) z) y)) (/ z y))
(+ (* (pow x 2) (- (* -1 (* (pow x 2) (+ (* -1/4 (/ z y)) (* 1/24 (/ z y))))) (* 1/2 (/ z y)))) (/ z y))
(+ (* (pow x 2) (- (* (pow x 2) (- (* -1 (* (pow x 2) (+ (* -1/2 (+ (* -1/4 (/ z y)) (* 1/24 (/ z y)))) (+ (* -1/48 (/ z y)) (* 1/720 (/ z y)))))) (+ (* -1/4 (/ z y)) (* 1/24 (/ z y))))) (* 1/2 (/ z y)))) (/ z y))
y
(+ y (* 1/2 (* (pow x 2) y)))
(+ y (* (pow x 2) (+ (* 1/24 (* (pow x 2) y)) (* 1/2 y))))
(+ y (* (pow x 2) (+ (* 1/2 y) (* (pow x 2) (+ (* 1/720 (* (pow x 2) y)) (* 1/24 y))))))
(/ y x)
(/ (+ y (* 1/2 (* (pow x 2) y))) x)
(/ (+ y (* (pow x 2) (+ (* 1/24 (* (pow x 2) y)) (* 1/2 y)))) x)
(/ (+ y (* (pow x 2) (+ (* 1/2 y) (* (pow x 2) (+ (* 1/720 (* (pow x 2) y)) (* 1/24 y)))))) x)
(/ 1 x)
(/ (+ 1 (* 1/2 (pow x 2))) x)
(/ y z)
(+ (* 1/2 (/ (* (pow x 2) y) z)) (/ y z))
(+ (* (pow x 2) (+ (* 1/24 (/ (* (pow x 2) y) z)) (* 1/2 (/ y z)))) (/ y z))
(+ (* (pow x 2) (+ (* 1/2 (/ y z)) (* (pow x 2) (+ (* 1/720 (/ (* (pow x 2) y) z)) (* 1/24 (/ y z)))))) (/ y z))
1
(+ 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 x)
1/2
(+ 1/2 (* 1/24 (pow x 2)))
(pow x 2)
1/24
(+ 1/24 (* 1/720 (pow x 2)))
(+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z)))
(* -2 (/ (* x z) (* y (+ (exp x) (/ 1 (exp x))))))
(* 2 (/ z (* y (+ (exp x) (/ 1 (exp x))))))
(* 1/2 (* y (+ (exp x) (/ 1 (exp x)))))
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) x))
(* 1/2 (* x y))
(* x (+ (* 1/2 y) (/ y (pow x 2))))
(* 1/2 x)
(* x (+ 1/2 (/ 1 (pow x 2))))
(* 1/2 (/ (* x y) z))
(* x (+ (* 1/2 (/ y z)) (/ y (* (pow x 2) z))))
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) z))
(* 1/24 (/ (* (pow x 4) y) z))
(* (pow x 4) (+ (* 1/24 (/ y z)) (* 1/2 (/ y (* (pow x 2) z)))))
(* (pow x 4) (+ (* 1/24 (/ y z)) (+ (* 1/2 (/ y (* (pow x 2) z))) (/ y (* (pow x 4) z)))))
(* 1/2 (+ (exp x) (/ 1 (exp x))))
(* 1/720 (pow x 6))
(* (pow x 6) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))
(* (pow x 6) (+ 1/720 (+ (/ 1/2 (pow x 4)) (* 1/24 (/ 1 (pow x 2))))))
(* (pow x 6) (+ 1/720 (+ (/ 1/2 (pow x 4)) (+ (* 1/24 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))
(* 1/24 (pow x 2))
(* (pow x 2) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))
(* 1/720 (pow x 2))
(* (pow x 2) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))
(* 1/720 (pow x 4))
(* (pow x 4) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 1/720 (+ (/ 1/2 (pow x 4)) (* 1/24 (/ 1 (pow x 2))))))
(* -1 (* x (+ (* -1 (/ y (pow x 2))) (* -1/2 y))))
(* -1 (* x (+ (* -1 (/ y (* (pow x 2) z))) (* -1/2 (/ y z)))))
(* y (+ (* 1/2 x) (/ 1 x)))
(/ (* y (+ (* 1/2 x) (/ 1 x))) z)
(/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2)))))) z)

Outputs
(/ y (* x z))
(/.f64 (/.f64 y z) x)
(/ (+ (* 1/2 (/ (* (pow x 2) y) z)) (/ y z)) x)
(/.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)) (/.f64 y z)) x)
(/ (+ (* (pow x 2) (+ (* 1/24 (/ (* (pow x 2) y) z)) (* 1/2 (/ y z)))) (/ y z)) x)
(/.f64 (.f64 (/.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) z) y) x)
(/ (+ (* (pow x 2) (+ (* 1/2 (/ y z)) (* (pow x 2) (+ (* 1/720 (/ (* (pow x 2) y) z)) (* 1/24 (/ y z)))))) (/ y z)) x)
(/.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) (.f64 (/.f64 y z) (fma.f64 #s(literal 1/720 binary64) (.f64 x x) #s(literal 1/24 binary64))) (.f64 (fma.f64 (.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)) (/.f64 y z))) x)
(* -1 (/ (* x z) y))
(*.f64 (/.f64 (neg.f64 x) y) z)
(* x (+ (* -1 (/ z y)) (* 1/2 (/ (* (pow x 2) z) y))))
(.f64 (.f64 (/.f64 z y) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal -1 binary64))) x)
(* x (+ (* -1 (/ z y)) (* (pow x 2) (+ (* 1/2 (/ z y)) (* (pow x 2) (+ (* -1/4 (/ z y)) (* 1/24 (/ z y))))))))
(.f64 (fma.f64 (.f64 (/.f64 z y) (fma.f64 #s(literal -5/24 binary64) (.f64 x x) #s(literal 1/2 binary64))) (.f64 x x) (/.f64 (neg.f64 z) y)) x)
(* x (+ (* -1 (/ z y)) (* (pow x 2) (+ (* 1/2 (/ z y)) (* (pow x 2) (+ (* -1/4 (/ z y)) (+ (* 1/24 (/ z y)) (* (pow x 2) (+ (* -1/2 (+ (* -1/4 (/ z y)) (* 1/24 (/ z y)))) (+ (* -1/48 (/ z y)) (* 1/720 (/ z y))))))))))))
(.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (.f64 (.f64 (/.f64 z y) #s(literal 61/720 binary64)) x) x (.f64 #s(literal -5/24 binary64) (/.f64 z y))) (.f64 (/.f64 z y) (fma.f64 (.f64 x x) #s(literal 1/2 binary64) #s(literal -1 binary64)))) x)
(/ z y)
(/.f64 z y)
(+ (* -1/2 (/ (* (pow x 2) z) y)) (/ z y))
(.f64 (fma.f64 #s(literal -1/2 binary64) (.f64 x x) #s(literal 1 binary64)) (/.f64 z y))
(+ (* (pow x 2) (- (* -1 (* (pow x 2) (+ (* -1/4 (/ z y)) (* 1/24 (/ z y))))) (* 1/2 (/ z y)))) (/ z y))
(fma.f64 (.f64 (.f64 (/.f64 z y) (fma.f64 #s(literal 5/24 binary64) (*.f64 x x) #s(literal -1/2 binary64))) x) x (/.f64 z y))
(+ (* (pow x 2) (- (* (pow x 2) (- (* -1 (* (pow x 2) (+ (* -1/2 (+ (* -1/4 (/ z y)) (* 1/24 (/ z y)))) (+ (* -1/48 (/ z y)) (* 1/720 (/ z y)))))) (+ (* -1/4 (/ z y)) (* 1/24 (/ z y))))) (* 1/2 (/ z y)))) (/ z y))
(-.f64 (.f64 (fma.f64 #s(literal -1/2 binary64) (.f64 x x) #s(literal 1 binary64)) (/.f64 z y)) (.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (.f64 (.f64 (/.f64 z y) #s(literal 61/720 binary64)) x) x (.f64 #s(literal -5/24 binary64) (/.f64 z y)))))
y
(+ y (* 1/2 (* (pow x 2) y)))
(.f64 (fma.f64 (.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)) y)
(+ y (* (pow x 2) (+ (* 1/24 (* (pow x 2) y)) (* 1/2 y))))
(.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) y)
(+ y (* (pow x 2) (+ (* 1/2 y) (* (pow x 2) (+ (* 1/720 (* (pow x 2) y)) (* 1/24 y))))))
(fma.f64 (.f64 y (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) y)
(/ y x)
(/.f64 y x)
(/ (+ y (* 1/2 (* (pow x 2) y))) x)
(.f64 (fma.f64 (.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)) (/.f64 y x))
(/ (+ y (* (pow x 2) (+ (* 1/24 (* (pow x 2) y)) (* 1/2 y)))) x)
(.f64 (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 y x))
(/ (+ y (* (pow x 2) (+ (* 1/2 y) (* (pow x 2) (+ (* 1/720 (* (pow x 2) y)) (* 1/24 y)))))) x)
(/.f64 (fma.f64 (.f64 y (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) y) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ (+ 1 (* 1/2 (pow x 2))) x)
(/.f64 (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)) x)
(/ y z)
(/.f64 y z)
(+ (* 1/2 (/ (* (pow x 2) y) z)) (/ y z))
(.f64 (fma.f64 (.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)) (/.f64 y z))
(+ (* (pow x 2) (+ (* 1/24 (/ (* (pow x 2) y) z)) (* 1/2 (/ y z)))) (/ y z))
(.f64 (/.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) z) y)
(+ (* (pow x 2) (+ (* 1/2 (/ y z)) (* (pow x 2) (+ (* 1/720 (/ (* (pow x 2) y) z)) (* 1/24 (/ y z)))))) (/ y z))
(fma.f64 (pow.f64 x #s(literal 4 binary64)) (.f64 (/.f64 y z) (fma.f64 #s(literal 1/720 binary64) (.f64 x x) #s(literal 1/24 binary64))) (.f64 (fma.f64 (.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)) (/.f64 y z)))
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) (+ 1/2 (* 1/24 (pow x 2)))))
(fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 x x) #s(literal 1/2 binary64)) (.f64 x x) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (.f64 x x) #s(literal 1/24 binary64)) (.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))
(* -1 x)
(neg.f64 x)
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))
(pow x 2)
(*.f64 x x)
1/24
#s(literal 1/24 binary64)
(+ 1/24 (* 1/720 (pow x 2)))
(fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64))
(+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))
(fma.f64 (fma.f64 #s(literal 1/720 binary64) (.f64 x x) #s(literal 1/24 binary64)) (.f64 x x) #s(literal 1/2 binary64))
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z)))
(.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) x) z) (.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) y))
(* -2 (/ (* x z) (* y (+ (exp x) (/ 1 (exp x))))))
(/.f64 (.f64 (.f64 (/.f64 x y) #s(literal -2 binary64)) z) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)))
(* 2 (/ z (* y (+ (exp x) (/ 1 (exp x))))))
(*.f64 (/.f64 (/.f64 z y) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x))) #s(literal 2 binary64))
(* 1/2 (* y (+ (exp x) (/ 1 (exp x)))))
(.f64 (.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) y) #s(literal 1/2 binary64))
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) x))
(.f64 (/.f64 #s(literal 1/2 binary64) x) (.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) y))
(* 1/2 (* x y))
(.f64 (.f64 y x) #s(literal 1/2 binary64))
(* x (+ (* 1/2 y) (/ y (pow x 2))))
(*.f64 (fma.f64 #s(literal 1/2 binary64) x (/.f64 #s(literal 1 binary64) x)) y)
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)
(* x (+ 1/2 (/ 1 (pow x 2))))
(fma.f64 #s(literal 1/2 binary64) x (/.f64 #s(literal 1 binary64) x))
(* 1/2 (/ (* x y) z))
(.f64 (.f64 (/.f64 y z) x) #s(literal 1/2 binary64))
(* x (+ (* 1/2 (/ y z)) (/ y (* (pow x 2) z))))
(/.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x (/.f64 #s(literal 1 binary64) x)) y) z)
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) z))
(.f64 (/.f64 #s(literal 1/2 binary64) z) (.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) y))
(* 1/24 (/ (* (pow x 4) y) z))
(.f64 (/.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) y) z) #s(literal 1/24 binary64))
(* (pow x 4) (+ (* 1/24 (/ y z)) (* 1/2 (/ y (* (pow x 2) z)))))
(.f64 (.f64 (/.f64 y z) (+.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 (/ y z)) (+ (* 1/2 (/ y (* (pow x 2) z))) (/ y (* (pow x 4) z)))))
(.f64 (.f64 (/.f64 y z) (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64))) (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) #s(literal 1/24 binary64)))) (pow.f64 x #s(literal 4 binary64)))
(* 1/2 (+ (exp x) (/ 1 (exp x))))
(*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 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))
(* 1/24 (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 2))
(.f64 #s(literal 1/720 binary64) (.f64 x x))
(* (pow x 2) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))
(fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64))
(* 1/720 (pow x 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)))
(* -1 (* x (+ (* -1 (/ y (pow x 2))) (* -1/2 y))))
(*.f64 (fma.f64 #s(literal 1/2 binary64) x (/.f64 #s(literal 1 binary64) x)) y)
(* -1 (* x (+ (* -1 (/ y (* (pow x 2) z))) (* -1/2 (/ y z)))))
(/.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x (/.f64 #s(literal 1 binary64) x)) y) z)
(* y (+ (* 1/2 x) (/ 1 x)))
(*.f64 (fma.f64 #s(literal 1/2 binary64) x (/.f64 #s(literal 1 binary64) x)) y)
(/ (* y (+ (* 1/2 x) (/ 1 x))) z)
(/.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x (/.f64 #s(literal 1 binary64) x)) y) z)
(/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2)))))) z)
(.f64 (/.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) z) y)

rewrite262.0ms (2.2%)

Memory

-9.5MiB live, 309.1MiB allocated

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	46	307
0	75	307
1	271	304
2	1835	304
0	8277	304

Stop Event

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

Counts

26 → 1 061

Calls

Call 1

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

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

eval158.0ms (1.3%)

Memory: 4.3MiB live, 427.4MiB allocated
Compiler: Compiled 33 735 to 4 518 computations (86.6% saved)

prune137.0ms (1.1%)

Memory

-22.6MiB live, 151.2MiB allocated

Pruning

32 alts after pruning (28 fresh and 4 done)

	Pruned	Kept	Total
New	1 182	16	1 198
Fresh	7	12	19
Picked	3	2	5
Done	0	2	2
Total	1 192	32	1 224

Accuracy

100.0%

Counts

1 224 → 32

Alt Table

Click to see full alt table

Status	Accuracy	Program
	89.3%	(/.f64 (/.f64 (.f64 #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))) y) z) x)
	81.3%	(/.f64 (/.f64 (.f64 y #s(approx (cosh x) (fma.f64 (.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)))) z) x)
	86.6%	(/.f64 (.f64 (cosh.f64 x) y) (.f64 z x))
	81.6%	(/.f64 (.f64 #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 y x)) z)
▶	81.4%	(/.f64 (.f64 #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))) y) (*.f64 z x))
	80.1%	(/.f64 (.f64 #s(approx (cosh x) (fma.f64 (fma.f64 #s(approx (+ ( 1/720 (* x x)) 1/24) #s(literal 1/24 binary64)) (.f64 x x) #s(literal 1/2 binary64)) (.f64 x x) #s(literal 1 binary64))) (/.f64 y x)) z)
	81.6%	(/.f64 (.f64 #s(approx (cosh x) (fma.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (.f64 x x) #s(literal 1/24 binary64)) (.f64 x x) #s(literal 1/2 binary64)) x) x #s(literal 1 binary64))) (/.f64 y x)) z)
	72.2%	(/.f64 (.f64 #s(approx (cosh x) (fma.f64 (.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) (/.f64 y x)) z)
	87.4%	(/.f64 #s(approx (/ (* y (cosh x)) z) (/.f64 (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) y) z)) x)
	57.2%	(/.f64 #s(approx (/ (* y (cosh x)) z) (/.f64 y z)) x)
	75.6%	(/.f64 #s(approx (/ (* y (cosh x)) z) (.f64 (fma.f64 (.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)) (/.f64 y z))) x)
	83.2%	(/.f64 #s(approx (/ (* y (cosh x)) z) (.f64 (/.f64 y z) (fma.f64 (fma.f64 (.f64 #s(literal 1/24 binary64) x) x #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))) x)
	83.2%	(/.f64 #s(approx (/ (* y (cosh x)) z) (.f64 (/.f64 y z) (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)))) x)
	88.3%	(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 (.f64 y (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) y) x)) z)
	53.6%	(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 y x)) z)
▶	89.8%	(/.f64 #s(approx (* (cosh x) (/ y x)) (.f64 (/.f64 (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)) x) y)) z)
	89.8%	(/.f64 #s(approx (* (cosh x) (/ y x)) (.f64 (/.f64 (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)) x) y)) z)
✓	87.9%	(/.f64 #s(approx (* (cosh x) (/ y x)) (.f64 (/.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) x) y)) z)
✓	24.0%	(/.f64 #s(approx (* (cosh x) (/ y x)) (.f64 #s(approx (+ ( 1/2 x) (/ 1 x)) (*.f64 #s(literal 1/2 binary64) x)) y)) z)
	24.0%	(/.f64 #s(literal 1 binary64) (/.f64 z #s(approx (* (cosh x) (/ y x)) (.f64 #s(approx (+ ( 1/2 x) (/ 1 x)) (*.f64 #s(literal 1/2 binary64) x)) y))))
	87.6%	(/.f64 #s(literal -1 binary64) (.f64 (/.f64 z #s(approx ( (cosh x) y) (fma.f64 (.f64 y (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) y))) (neg.f64 x)))
	56.3%	(/.f64 #s(literal -1 binary64) (.f64 #s(approx (/ z ( (cosh x) y)) (/.f64 z y)) (neg.f64 x)))
	82.3%	(.f64 (/.f64 #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))) z) (/.f64 y x))
	24.0%	(.f64 (neg.f64 #s(approx ( (cosh x) (/ y x)) (.f64 #s(approx (+ ( 1/2 x) (/ 1 x)) (*.f64 #s(literal 1/2 binary64) x)) y))) (/.f64 #s(literal -1 binary64) z))
✓	54.2%	#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 y (*.f64 z x)))
	53.7%	#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 x y) z)))
✓	64.6%	#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (fma.f64 #s(literal 1/2 binary64) x (/.f64 #s(literal 1 binary64) x)) (/.f64 y z)))
▶	64.4%	#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (fma.f64 #s(literal 1/2 binary64) x (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) (/.f64 z y))))
	87.1%	#s(approx (/ (* (cosh x) (/ y x)) z) (.f64 (/.f64 (/.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) z) x) y))
▶	57.2%	#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 y (neg.f64 z))))
	54.0%	#s(approx (/ (* (cosh x) (/ y x)) z) (.f64 (neg.f64 y) (/.f64 #s(literal -1 binary64) (.f64 z x))))
▶	25.1%	#s(approx (/ (* (cosh x) (/ y x)) z) #s(approx (* (+ (* 1/2 x) (/ 1 x)) (/ y z)) (.f64 (.f64 (/.f64 y z) x) #s(literal 1/2 binary64))))

Compiler

Compiled 1 331 to 933 computations (29.9% saved)

simplify97.0ms (0.8%)

Memory

35.1MiB live, 151.2MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
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(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))) y)
cost-diff	0	(/.f64 (.f64 #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))) y) (*.f64 z x))
cost-diff	0	(fma.f64 #s(literal 1/2 binary64) x (/.f64 #s(literal 1 binary64) x))
cost-diff	0	(*.f64 (fma.f64 #s(literal 1/2 binary64) x (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) (/.f64 z y)))
cost-diff	0	#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (fma.f64 #s(literal 1/2 binary64) x (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) (/.f64 z y))))
cost-diff	2	(/.f64 #s(literal 1 binary64) (/.f64 z y))
cost-diff	0	(/.f64 y (neg.f64 z))
cost-diff	0	(/.f64 #s(literal -1 binary64) x)
cost-diff	0	#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 y (neg.f64 z))))
cost-diff	3	(*.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 y (neg.f64 z)))
cost-diff	0	(*.f64 (/.f64 y z) x)
cost-diff	0	(.f64 (.f64 (/.f64 y z) x) #s(literal 1/2 binary64))
cost-diff	0	#s(approx (* (+ (* 1/2 x) (/ 1 x)) (/ y z)) (.f64 (.f64 (/.f64 y z) x) #s(literal 1/2 binary64)))
cost-diff	0	#s(approx (/ (* (cosh x) (/ y x)) z) #s(approx (* (+ (* 1/2 x) (/ 1 x)) (/ y z)) (.f64 (.f64 (/.f64 y z) x) #s(literal 1/2 binary64))))
cost-diff	0	(/.f64 (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)) x)
cost-diff	0	(.f64 (/.f64 (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)) x) y)
cost-diff	0	#s(approx (* (cosh x) (/ y x)) (.f64 (/.f64 (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)) x) y))
cost-diff	0	(/.f64 #s(approx (* (cosh x) (/ y x)) (.f64 (/.f64 (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)) x) y)) z)

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	49	408
0	80	406
1	149	400
2	282	396
3	641	396
4	2181	396
5	5770	396
0	8127	396

Stop Event

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

Calls

Call 1

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

Outputs
(/.f64 #s(approx (* (cosh x) (/ y x)) (.f64 (/.f64 (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)) x) y)) z)
(/.f64 #s(approx (* (cosh x) (/ y x)) (.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/720 binary64) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/24 binary64) (fma.f64 (.f64 #s(literal 1/2 binary64) x) x #s(literal 1 binary64)))) (/.f64 y x))) z)
#s(approx (* (cosh x) (/ y x)) (.f64 (/.f64 (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)) x) y))
#s(approx (* (cosh x) (/ y x)) (.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/720 binary64) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/24 binary64) (fma.f64 (.f64 #s(literal 1/2 binary64) x) x #s(literal 1 binary64)))) (/.f64 y x)))
(.f64 (/.f64 (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)) x) y)
(.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/720 binary64) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/24 binary64) (fma.f64 (.f64 #s(literal 1/2 binary64) x) x #s(literal 1 binary64)))) (/.f64 y x))
(/.f64 (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)) x)
(/.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/720 binary64) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/24 binary64) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) x #s(literal 1 binary64)))) 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 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/720 binary64) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/24 binary64) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) x #s(literal 1 binary64))))
(fma.f64 (fma.f64 (.f64 #s(literal 1/720 binary64) x) x #s(literal 1/24 binary64)) (.f64 x x) #s(literal 1/2 binary64))
(fma.f64 (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (.f64 x x) #s(literal 1/2 binary64))
(fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal 1/24 binary64))
(fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #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)
#s(literal 1 binary64)
y
z
#s(approx (/ (* (cosh x) (/ y x)) z) #s(approx (* (+ (* 1/2 x) (/ 1 x)) (/ y z)) (.f64 (.f64 (/.f64 y z) x) #s(literal 1/2 binary64))))
#s(approx (* (+ (* 1/2 x) (/ 1 x)) (/ y z)) (.f64 (.f64 (/.f64 y z) x) #s(literal 1/2 binary64)))
(.f64 (.f64 (/.f64 y z) x) #s(literal 1/2 binary64))
(*.f64 (/.f64 y z) x)
(/.f64 y z)
y
z
x
#s(literal 1/2 binary64)
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 y (neg.f64 z))))
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (/.f64 y z) x))
(*.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 y (neg.f64 z)))
(/.f64 (/.f64 y z) x)
(/.f64 #s(literal -1 binary64) x)
#s(literal -1 binary64)
x
(/.f64 y (neg.f64 z))
y
(neg.f64 z)
z
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (fma.f64 #s(literal 1/2 binary64) x (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) (/.f64 z y))))
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) x (/.f64 #s(literal 1 binary64) x)) z) y))
(*.f64 (fma.f64 #s(literal 1/2 binary64) x (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) (/.f64 z y)))
(*.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) x (/.f64 #s(literal 1 binary64) x)) z) y)
(fma.f64 #s(literal 1/2 binary64) x (/.f64 #s(literal 1 binary64) x))
#s(literal 1/2 binary64)
x
(/.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
(/.f64 #s(literal 1 binary64) (/.f64 z y))
(/.f64 y z)
(/.f64 z y)
z
y
(/.f64 (.f64 #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))) y) (*.f64 z x))
(.f64 (/.f64 (/.f64 y z) x) #s(approx (cosh x) (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/720 binary64) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/24 binary64) (fma.f64 (.f64 #s(literal 1/2 binary64) x) x #s(literal 1 binary64))))))
(.f64 #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))) y)
(.f64 #s(approx (cosh x) (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/720 binary64) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/24 binary64) (fma.f64 (.f64 #s(literal 1/2 binary64) x) x #s(literal 1 binary64))))) y)
#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 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/720 binary64) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/24 binary64) (fma.f64 (*.f64 #s(literal 1/2 binary64) 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 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/720 binary64) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/24 binary64) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) x #s(literal 1 binary64))))
(fma.f64 (fma.f64 #s(literal 1/720 binary64) (.f64 x x) #s(literal 1/24 binary64)) (.f64 x x) #s(literal 1/2 binary64))
(fma.f64 (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (.f64 x x) #s(literal 1/2 binary64))
(fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64))
(fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))
#s(literal 1/720 binary64)
(*.f64 x x)
x
#s(literal 1/24 binary64)
#s(literal 1/2 binary64)
#s(literal 1 binary64)
y
(*.f64 z x)
z

localize181.0ms (1.5%)

Memory

-12.3MiB live, 228.3MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.05859375	(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	0.2930046838132945	(fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64))
accuracy	3.7983625269015096	#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	7.3884146264764645	(/.f64 (.f64 #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))) y) (*.f64 z x))
accuracy	0.0	(/.f64 #s(literal 1 binary64) x)
accuracy	0.6520232711835917	(/.f64 #s(literal 1 binary64) (/.f64 z y))
accuracy	5.446441310949128	(*.f64 (fma.f64 #s(literal 1/2 binary64) x (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) (/.f64 z y)))
accuracy	19.169700321029765	#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (fma.f64 #s(literal 1/2 binary64) x (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) (/.f64 z y))))
accuracy	0.0	(/.f64 #s(literal -1 binary64) x)
accuracy	0.0	(neg.f64 z)
accuracy	6.146140594309731	(*.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 y (neg.f64 z)))
accuracy	26.514783230664456	#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 y (neg.f64 z))))
accuracy	0.0	(.f64 (.f64 (/.f64 y z) x) #s(literal 1/2 binary64))
accuracy	5.064931940493038	(*.f64 (/.f64 y z) x)
accuracy	19.169700321029765	#s(approx (/ (* (cosh x) (/ y x)) z) #s(approx (* (+ (* 1/2 x) (/ 1 x)) (/ y z)) (.f64 (.f64 (/.f64 y z) x) #s(literal 1/2 binary64))))
accuracy	32.026660046533856	#s(approx (* (+ (* 1/2 x) (/ 1 x)) (/ y z)) (.f64 (.f64 (/.f64 y z) x) #s(literal 1/2 binary64)))
accuracy	0.23046875	(*.f64 #s(literal 1/720 binary64) x)
accuracy	1.5859665402590062	(/.f64 (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)) x)
accuracy	3.146624079283566	(/.f64 #s(approx (* (cosh x) (/ y x)) (.f64 (/.f64 (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)) x) y)) z)
accuracy	4.559513740120146	#s(approx (* (cosh x) (/ y x)) (.f64 (/.f64 (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)) x) y))

Samples

125.0ms

256×

valid

Compiler

Compiled 289 to 47 computations (83.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 103.0ms

ival-div: 55.0ms (53.3% of total)

ival-mult: 29.0ms (28.1% of total)

ival-add: 7.0ms (6.8% of total)

const: 7.0ms (6.8% of total)

ival-cosh: 3.0ms (2.9% of total)

ival-neg: 1.0ms (1% of total)

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

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

exact: 0.0ms (0% of total)

series39.0ms (0.3%)

Memory

1.5MiB live, 76.3MiB allocated

Counts

25 → 64

Calls

Call 1

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

Outputs
(/ y (* x z))
(/ (+ (* 1/2 (/ (* (pow x 2) y) z)) (/ y z)) x)
(/ (+ (* (pow x 2) (+ (* 1/24 (/ (* (pow x 2) y) z)) (* 1/2 (/ y z)))) (/ y z)) x)
(/ (+ (* (pow x 2) (+ (* 1/2 (/ y z)) (* (pow x 2) (+ (* 1/720 (/ (* (pow x 2) y) z)) (* 1/24 (/ y z)))))) (/ y z)) x)
(/ y x)
(/ (+ y (* 1/2 (* (pow x 2) y))) x)
(/ (+ y (* (pow x 2) (+ (* 1/24 (* (pow x 2) y)) (* 1/2 y)))) x)
(/ (+ y (* (pow x 2) (+ (* 1/2 y) (* (pow x 2) (+ (* 1/720 (* (pow x 2) y)) (* 1/24 y)))))) x)
(/ 1 x)
(/ (+ 1 (* 1/2 (pow x 2))) x)
(/ (+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2))))) x)
(/ (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2))))))) x)
(* 1/2 (/ (* x y) z))
(/ (* x y) z)
(/ -1 x)
y
(+ y (* 1/2 (* (pow x 2) y)))
(+ y (* (pow x 2) (+ (* 1/24 (* (pow x 2) y)) (* 1/2 y))))
(+ y (* (pow x 2) (+ (* 1/2 y) (* (pow x 2) (+ (* 1/720 (* (pow x 2) y)) (* 1/24 y))))))
1
(+ 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)))))))
(* 1/720 x)
1/24
(+ 1/24 (* 1/720 (pow x 2)))
1/2
(+ 1/2 (* 1/24 (pow x 2)))
(+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z)))
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) x))
(* 1/720 (* (pow x 5) y))
(* (pow x 5) (+ (* 1/720 y) (* 1/24 (/ y (pow x 2)))))
(* (pow x 5) (+ (* 1/720 y) (+ (* 1/24 (/ y (pow x 2))) (* 1/2 (/ y (pow x 4))))))
(* (pow x 5) (+ (* 1/720 y) (+ (* 1/24 (/ y (pow x 2))) (+ (* 1/2 (/ y (pow x 4))) (/ y (pow x 6))))))
(* 1/720 (pow x 5))
(* (pow x 5) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))
(* (pow x 5) (+ 1/720 (+ (/ 1/2 (pow x 4)) (* 1/24 (/ 1 (pow x 2))))))
(* (pow x 5) (+ 1/720 (+ (/ 1/2 (pow x 4)) (+ (* 1/24 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))
(* x (+ (* 1/2 (/ y z)) (/ y (* (pow x 2) z))))
(* 1/2 x)
(* x (+ 1/2 (/ 1 (pow x 2))))
(* 1/2 (* y (+ (exp x) (/ 1 (exp x)))))
(* 1/2 (+ (exp x) (/ 1 (exp x))))
(* 1/720 (pow x 6))
(* (pow x 6) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))
(* (pow x 6) (+ 1/720 (+ (/ 1/2 (pow x 4)) (* 1/24 (/ 1 (pow x 2))))))
(* (pow x 6) (+ 1/720 (+ (/ 1/2 (pow x 4)) (+ (* 1/24 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))
(* 1/720 (pow x 2))
(* (pow x 2) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))
(* 1/720 (pow x 4))
(* (pow x 4) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 1/720 (+ (/ 1/2 (pow x 4)) (* 1/24 (/ 1 (pow x 2))))))
(* -1 (* (pow x 5) (+ (* -1/24 (/ y (pow x 2))) (* -1/720 y))))
(* -1 (* (pow x 5) (+ (* -1/2 (/ y (pow x 4))) (+ (* -1/24 (/ y (pow x 2))) (* -1/720 y)))))
(* -1 (* (pow x 5) (+ (* -1 (/ y (pow x 6))) (+ (* -1/2 (/ y (pow x 4))) (+ (* -1/24 (/ y (pow x 2))) (* -1/720 y))))))
(* -1 (* (pow x 5) (- (* -1 (/ (+ 1/24 (* 1/2 (/ 1 (pow x 2)))) (pow x 2))) 1/720)))
(* -1 (* (pow x 5) (- (* -1 (/ (+ 1/2 (/ 1 (pow x 2))) (pow x 4))) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))))
(* -1 (* x (+ (* -1 (/ y (* (pow x 2) z))) (* -1/2 (/ y z)))))
(/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))) x)
(/ (* y (+ (* 1/2 x) (/ 1 x))) z)
(* -1 (/ y z))
(/ y z)
(* -1 z)

Calls

9 calls:

Time	Variable		Point	Expression
7.0ms	x	@	inf	((/ (* (cosh x) (/ y x)) z) (* (cosh x) (/ y x)) (* (/ (+ (* (+ (* (+ (* (* 1/720 x) x) 1/24) (* x x)) 1/2) (* x x)) 1) x) y) (/ (+ (* (+ (* (+ (* (* 1/720 x) x) 1/24) (* x x)) 1/2) (* x x)) 1) x) (/ (* (cosh x) (/ y x)) z) (* (+ (* 1/2 x) (/ 1 x)) (/ y z)) (* (* (/ y z) x) 1/2) (* (/ y z) x) (* (/ -1 x) (/ y (neg z))) (/ (* (cosh x) (/ y x)) z) (/ -1 x) (/ y (neg z)) (/ 1 (/ z y)) (/ (* (cosh x) (/ y x)) z) (* (+ (* 1/2 x) (/ 1 x)) (/ 1 (/ z y))) (+ (* 1/2 x) (/ 1 x)) (/ (* (cosh x) y) (* z x)) (* (cosh x) y) (cosh x) (+ (* (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (* x x)) 1) (* 1/720 x) (neg z) (/ 1 x) (+ (* 1/720 (* x x)) 1/24) (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2))
4.0ms	y	@	-inf	((/ (* (cosh x) (/ y x)) z) (* (cosh x) (/ y x)) (* (/ (+ (* (+ (* (+ (* (* 1/720 x) x) 1/24) (* x x)) 1/2) (* x x)) 1) x) y) (/ (+ (* (+ (* (+ (* (* 1/720 x) x) 1/24) (* x x)) 1/2) (* x x)) 1) x) (/ (* (cosh x) (/ y x)) z) (* (+ (* 1/2 x) (/ 1 x)) (/ y z)) (* (* (/ y z) x) 1/2) (* (/ y z) x) (* (/ -1 x) (/ y (neg z))) (/ (* (cosh x) (/ y x)) z) (/ -1 x) (/ y (neg z)) (/ 1 (/ z y)) (/ (* (cosh x) (/ y x)) z) (* (+ (* 1/2 x) (/ 1 x)) (/ 1 (/ z y))) (+ (* 1/2 x) (/ 1 x)) (/ (* (cosh x) y) (* z x)) (* (cosh x) y) (cosh x) (+ (* (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (* x x)) 1) (* 1/720 x) (neg z) (/ 1 x) (+ (* 1/720 (* x x)) 1/24) (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2))
4.0ms	y	@	0	((/ (* (cosh x) (/ y x)) z) (* (cosh x) (/ y x)) (* (/ (+ (* (+ (* (+ (* (* 1/720 x) x) 1/24) (* x x)) 1/2) (* x x)) 1) x) y) (/ (+ (* (+ (* (+ (* (* 1/720 x) x) 1/24) (* x x)) 1/2) (* x x)) 1) x) (/ (* (cosh x) (/ y x)) z) (* (+ (* 1/2 x) (/ 1 x)) (/ y z)) (* (* (/ y z) x) 1/2) (* (/ y z) x) (* (/ -1 x) (/ y (neg z))) (/ (* (cosh x) (/ y x)) z) (/ -1 x) (/ y (neg z)) (/ 1 (/ z y)) (/ (* (cosh x) (/ y x)) z) (* (+ (* 1/2 x) (/ 1 x)) (/ 1 (/ z y))) (+ (* 1/2 x) (/ 1 x)) (/ (* (cosh x) y) (* z x)) (* (cosh x) y) (cosh x) (+ (* (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (* x x)) 1) (* 1/720 x) (neg z) (/ 1 x) (+ (* 1/720 (* x x)) 1/24) (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2))
4.0ms	x	@	-inf	((/ (* (cosh x) (/ y x)) z) (* (cosh x) (/ y x)) (* (/ (+ (* (+ (* (+ (* (* 1/720 x) x) 1/24) (* x x)) 1/2) (* x x)) 1) x) y) (/ (+ (* (+ (* (+ (* (* 1/720 x) x) 1/24) (* x x)) 1/2) (* x x)) 1) x) (/ (* (cosh x) (/ y x)) z) (* (+ (* 1/2 x) (/ 1 x)) (/ y z)) (* (* (/ y z) x) 1/2) (* (/ y z) x) (* (/ -1 x) (/ y (neg z))) (/ (* (cosh x) (/ y x)) z) (/ -1 x) (/ y (neg z)) (/ 1 (/ z y)) (/ (* (cosh x) (/ y x)) z) (* (+ (* 1/2 x) (/ 1 x)) (/ 1 (/ z y))) (+ (* 1/2 x) (/ 1 x)) (/ (* (cosh x) y) (* z x)) (* (cosh x) y) (cosh x) (+ (* (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (* x x)) 1) (* 1/720 x) (neg z) (/ 1 x) (+ (* 1/720 (* x x)) 1/24) (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2))
4.0ms	y	@	inf	((/ (* (cosh x) (/ y x)) z) (* (cosh x) (/ y x)) (* (/ (+ (* (+ (* (+ (* (* 1/720 x) x) 1/24) (* x x)) 1/2) (* x x)) 1) x) y) (/ (+ (* (+ (* (+ (* (* 1/720 x) x) 1/24) (* x x)) 1/2) (* x x)) 1) x) (/ (* (cosh x) (/ y x)) z) (* (+ (* 1/2 x) (/ 1 x)) (/ y z)) (* (* (/ y z) x) 1/2) (* (/ y z) x) (* (/ -1 x) (/ y (neg z))) (/ (* (cosh x) (/ y x)) z) (/ -1 x) (/ y (neg z)) (/ 1 (/ z y)) (/ (* (cosh x) (/ y x)) z) (* (+ (* 1/2 x) (/ 1 x)) (/ 1 (/ z y))) (+ (* 1/2 x) (/ 1 x)) (/ (* (cosh x) y) (* z x)) (* (cosh x) y) (cosh x) (+ (* (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (* x x)) 1) (* 1/720 x) (neg z) (/ 1 x) (+ (* 1/720 (* x x)) 1/24) (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2))

simplify202.0ms (1.7%)

Memory

-2.0MiB live, 240.5MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	173	806
1	546	796
2	1630	756
3	4700	742
0	8248	693

Stop Event

1×	iter limit
1×	node limit

Counts

64 → 63

Calls

Call 1

Inputs
(/ y (* x z))
(/ (+ (* 1/2 (/ (* (pow x 2) y) z)) (/ y z)) x)
(/ (+ (* (pow x 2) (+ (* 1/24 (/ (* (pow x 2) y) z)) (* 1/2 (/ y z)))) (/ y z)) x)
(/ (+ (* (pow x 2) (+ (* 1/2 (/ y z)) (* (pow x 2) (+ (* 1/720 (/ (* (pow x 2) y) z)) (* 1/24 (/ y z)))))) (/ y z)) x)
(/ y x)
(/ (+ y (* 1/2 (* (pow x 2) y))) x)
(/ (+ y (* (pow x 2) (+ (* 1/24 (* (pow x 2) y)) (* 1/2 y)))) x)
(/ (+ y (* (pow x 2) (+ (* 1/2 y) (* (pow x 2) (+ (* 1/720 (* (pow x 2) y)) (* 1/24 y)))))) x)
(/ 1 x)
(/ (+ 1 (* 1/2 (pow x 2))) x)
(/ (+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2))))) x)
(/ (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2))))))) x)
(* 1/2 (/ (* x y) z))
(/ (* x y) z)
(/ -1 x)
y
(+ y (* 1/2 (* (pow x 2) y)))
(+ y (* (pow x 2) (+ (* 1/24 (* (pow x 2) y)) (* 1/2 y))))
(+ y (* (pow x 2) (+ (* 1/2 y) (* (pow x 2) (+ (* 1/720 (* (pow x 2) y)) (* 1/24 y))))))
1
(+ 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)))))))
(* 1/720 x)
1/24
(+ 1/24 (* 1/720 (pow x 2)))
1/2
(+ 1/2 (* 1/24 (pow x 2)))
(+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z)))
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) x))
(* 1/720 (* (pow x 5) y))
(* (pow x 5) (+ (* 1/720 y) (* 1/24 (/ y (pow x 2)))))
(* (pow x 5) (+ (* 1/720 y) (+ (* 1/24 (/ y (pow x 2))) (* 1/2 (/ y (pow x 4))))))
(* (pow x 5) (+ (* 1/720 y) (+ (* 1/24 (/ y (pow x 2))) (+ (* 1/2 (/ y (pow x 4))) (/ y (pow x 6))))))
(* 1/720 (pow x 5))
(* (pow x 5) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))
(* (pow x 5) (+ 1/720 (+ (/ 1/2 (pow x 4)) (* 1/24 (/ 1 (pow x 2))))))
(* (pow x 5) (+ 1/720 (+ (/ 1/2 (pow x 4)) (+ (* 1/24 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))
(* x (+ (* 1/2 (/ y z)) (/ y (* (pow x 2) z))))
(* 1/2 x)
(* x (+ 1/2 (/ 1 (pow x 2))))
(* 1/2 (* y (+ (exp x) (/ 1 (exp x)))))
(* 1/2 (+ (exp x) (/ 1 (exp x))))
(* 1/720 (pow x 6))
(* (pow x 6) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))
(* (pow x 6) (+ 1/720 (+ (/ 1/2 (pow x 4)) (* 1/24 (/ 1 (pow x 2))))))
(* (pow x 6) (+ 1/720 (+ (/ 1/2 (pow x 4)) (+ (* 1/24 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))
(* 1/720 (pow x 2))
(* (pow x 2) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))
(* 1/720 (pow x 4))
(* (pow x 4) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 1/720 (+ (/ 1/2 (pow x 4)) (* 1/24 (/ 1 (pow x 2))))))
(* -1 (* (pow x 5) (+ (* -1/24 (/ y (pow x 2))) (* -1/720 y))))
(* -1 (* (pow x 5) (+ (* -1/2 (/ y (pow x 4))) (+ (* -1/24 (/ y (pow x 2))) (* -1/720 y)))))
(* -1 (* (pow x 5) (+ (* -1 (/ y (pow x 6))) (+ (* -1/2 (/ y (pow x 4))) (+ (* -1/24 (/ y (pow x 2))) (* -1/720 y))))))
(* -1 (* (pow x 5) (- (* -1 (/ (+ 1/24 (* 1/2 (/ 1 (pow x 2)))) (pow x 2))) 1/720)))
(* -1 (* (pow x 5) (- (* -1 (/ (+ 1/2 (/ 1 (pow x 2))) (pow x 4))) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))))
(* -1 (* x (+ (* -1 (/ y (* (pow x 2) z))) (* -1/2 (/ y z)))))
(/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))) x)
(/ (* y (+ (* 1/2 x) (/ 1 x))) z)
(* -1 (/ y z))
(/ y z)
(* -1 z)

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

rewrite163.0ms (1.4%)

Memory

4.6MiB live, 323.7MiB allocated

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	49	333
0	80	327
1	303	321
2	1698	321
0	8391	321

Stop Event

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

Counts

25 → 1 241

Calls

Call 1

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

Outputs
(.f64 (/.f64 #s(approx ( (cosh x) (/ y x)) (.f64 (fma.f64 (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (.f64 x x) #s(literal 1/2 binary64)) x) x #s(literal 1 binary64)) (/.f64 y x))) #s(literal 1 binary64)) (pow.f64 z #s(literal -1 binary64)))
(.f64 (/.f64 #s(approx ( (cosh x) (/ y x)) (.f64 (fma.f64 (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (.f64 x x) #s(literal 1/2 binary64)) x) x #s(literal 1 binary64)) (/.f64 y x))) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) z))
(.f64 (.f64 (neg.f64 #s(approx (* (cosh x) (/ y x)) (.f64 (fma.f64 (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (.f64 x x) #s(literal 1/2 binary64)) x) x #s(literal 1 binary64)) (/.f64 y x)))) #s(literal -1 binary64)) (pow.f64 z #s(literal -1 binary64)))
(.f64 (.f64 #s(approx (* (cosh x) (/ y x)) (.f64 (fma.f64 (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (.f64 x x) #s(literal 1/2 binary64)) x) x #s(literal 1 binary64)) (/.f64 y x))) #s(literal 1 binary64)) (pow.f64 z #s(literal -1 binary64)))
(.f64 (neg.f64 (neg.f64 #s(approx ( (cosh x) (/ y x)) (.f64 (fma.f64 (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (.f64 x x) #s(literal 1/2 binary64)) x) x #s(literal 1 binary64)) (/.f64 y x))))) (pow.f64 z #s(literal -1 binary64)))
(.f64 (pow.f64 z #s(literal -1 binary64)) (pow.f64 (pow.f64 #s(approx ( (cosh x) (/ y x)) (.f64 (fma.f64 (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (.f64 x x) #s(literal 1/2 binary64)) x) x #s(literal 1 binary64)) (/.f64 y x))) #s(literal -1 binary64)) #s(literal -1 binary64)))
(.f64 (pow.f64 z #s(literal -1 binary64)) #s(approx ( (cosh x) (/ y x)) (.f64 (fma.f64 (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (.f64 x x) #s(literal 1/2 binary64)) x) x #s(literal 1 binary64)) (/.f64 y x))))
(.f64 (/.f64 #s(literal -1 binary64) z) (/.f64 #s(approx ( (cosh x) (/ y x)) (.f64 (fma.f64 (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (.f64 x x) #s(literal 1/2 binary64)) x) x #s(literal 1 binary64)) (/.f64 y x))) #s(literal -1 binary64)))
(.f64 (neg.f64 #s(approx ( (cosh x) (/ y x)) (.f64 (fma.f64 (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (.f64 x x) #s(literal 1/2 binary64)) x) x #s(literal 1 binary64)) (/.f64 y x)))) (/.f64 #s(literal -1 binary64) z))
(.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (/.f64 z #s(approx ( (cosh x) (/ y x)) (.f64 (fma.f64 (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (.f64 x x) #s(literal 1/2 binary64)) x) x #s(literal 1 binary64)) (/.f64 y x)))))))
(.f64 #s(approx ( (cosh x) (/ y x)) (.f64 (fma.f64 (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (.f64 x x) #s(literal 1/2 binary64)) x) x #s(literal 1 binary64)) (/.f64 y x))) (pow.f64 z #s(literal -1 binary64)))
(.f64 #s(literal 1 binary64) (/.f64 #s(approx ( (cosh x) (/ y x)) (.f64 (fma.f64 (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (.f64 x x) #s(literal 1/2 binary64)) x) x #s(literal 1 binary64)) (/.f64 y x))) z))
(pow.f64 (/.f64 z #s(approx (* (cosh x) (/ y x)) (.f64 (fma.f64 (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (.f64 x x) #s(literal 1/2 binary64)) x) x #s(literal 1 binary64)) (/.f64 y x)))) #s(literal -1 binary64))
(/.f64 (neg.f64 (.f64 (neg.f64 #s(approx ( (cosh x) (/ y x)) (.f64 (fma.f64 (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (.f64 x x) #s(literal 1/2 binary64)) x) x #s(literal 1 binary64)) (/.f64 y x)))) #s(literal -1 binary64))) (neg.f64 z))
(/.f64 (neg.f64 (.f64 #s(approx ( (cosh x) (/ y x)) (.f64 (fma.f64 (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (.f64 x x) #s(literal 1/2 binary64)) x) x #s(literal 1 binary64)) (/.f64 y x))) #s(literal 1 binary64))) (neg.f64 z))
(/.f64 (neg.f64 (neg.f64 (neg.f64 #s(approx (* (cosh x) (/ y x)) (.f64 (fma.f64 (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (.f64 x x) #s(literal 1/2 binary64)) x) x #s(literal 1 binary64)) (/.f64 y x)))))) (neg.f64 z))
(/.f64 (.f64 (neg.f64 #s(approx ( (cosh x) (/ y x)) (.f64 (fma.f64 (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (.f64 x x) #s(literal 1/2 binary64)) x) x #s(literal 1 binary64)) (/.f64 y x)))) #s(literal -1 binary64)) z)
(/.f64 (.f64 #s(approx ( (cosh x) (/ y x)) (.f64 (fma.f64 (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (.f64 x x) #s(literal 1/2 binary64)) x) x #s(literal 1 binary64)) (/.f64 y x))) #s(literal 1 binary64)) z)
(/.f64 (neg.f64 (neg.f64 #s(approx (* (cosh x) (/ y x)) (.f64 (fma.f64 (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (.f64 x x) #s(literal 1/2 binary64)) x) x #s(literal 1 binary64)) (/.f64 y x))))) z)
(/.f64 (neg.f64 #s(approx (* (cosh x) (/ y x)) (.f64 (fma.f64 (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (.f64 x x) #s(literal 1/2 binary64)) x) x #s(literal 1 binary64)) (/.f64 y x)))) (neg.f64 z))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 z #s(approx (* (cosh x) (/ y x)) (.f64 (fma.f64 (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (.f64 x x) #s(literal 1/2 binary64)) x) x #s(literal 1 binary64)) (/.f64 y x))))))
(/.f64 #s(approx (* (cosh x) (/ y x)) (.f64 (fma.f64 (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (.f64 x x) #s(literal 1/2 binary64)) x) x #s(literal 1 binary64)) (/.f64 y x))) z)
(/.f64 #s(literal 1 binary64) (/.f64 z (.f64 (neg.f64 #s(approx ( (cosh x) (/ y x)) (.f64 (fma.f64 (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (.f64 x x) #s(literal 1/2 binary64)) x) x #s(literal 1 binary64)) (/.f64 y x)))) #s(literal -1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 z (.f64 #s(approx ( (cosh x) (/ y x)) (.f64 (fma.f64 (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (.f64 x x) #s(literal 1/2 binary64)) x) x #s(literal 1 binary64)) (/.f64 y x))) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 z #s(approx (* (cosh x) (/ y x)) (.f64 (fma.f64 (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (.f64 x x) #s(literal 1/2 binary64)) x) x #s(literal 1 binary64)) (/.f64 y x)))))))
(/.f64 #s(literal 1 binary64) (/.f64 z #s(approx (* (cosh x) (/ y x)) (.f64 (fma.f64 (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (.f64 x x) #s(literal 1/2 binary64)) x) x #s(literal 1 binary64)) (/.f64 y x)))))
(neg.f64 (/.f64 #s(approx (* (cosh x) (/ y x)) (.f64 (fma.f64 (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (.f64 x x) #s(literal 1/2 binary64)) x) x #s(literal 1 binary64)) (/.f64 y x))) (neg.f64 z)))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 z)) (/.f64 #s(approx (* (cosh x) (/ y x)) (.f64 (fma.f64 (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (.f64 x x) #s(literal 1/2 binary64)) x) x #s(literal 1 binary64)) (/.f64 y x))) (neg.f64 z)))
(exp.f64 (.f64 (log.f64 (/.f64 z #s(approx ( (cosh x) (/ y x)) (.f64 (fma.f64 (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (.f64 x x) #s(literal 1/2 binary64)) x) x #s(literal 1 binary64)) (/.f64 y x))))) #s(literal -1 binary64)))
#s(approx (* (cosh x) (/ y x)) (.f64 (fma.f64 (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (.f64 x x) #s(literal 1/2 binary64)) x) x #s(literal 1 binary64)) (/.f64 y x)))
(.f64 (/.f64 (neg.f64 (fma.f64 (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (.f64 x x) #s(literal 1/2 binary64)) x) x #s(literal 1 binary64))) #s(literal -1 binary64)) (/.f64 y x))
(.f64 (/.f64 y (/.f64 x (fma.f64 (pow.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (.f64 x x) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)) #s(literal -1 binary64)))) (pow.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (.f64 x x) #s(literal 1/2 binary64)) (.f64 x x) #s(literal -1 binary64)) #s(literal -1 binary64)))
(.f64 (/.f64 y (/.f64 x (fma.f64 (pow.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (.f64 x x) #s(literal 1/2 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64)))) (pow.f64 (-.f64 (fma.f64 (pow.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (.f64 x x) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)) (.f64 (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x) x)) #s(literal -1 binary64)))
(.f64 (/.f64 #s(literal 1 binary64) (/.f64 x (fma.f64 (pow.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (.f64 x x) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)) #s(literal -1 binary64)))) (/.f64 y (fma.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (.f64 x x) #s(literal 1/2 binary64)) (.f64 x x) #s(literal -1 binary64))))
(.f64 (/.f64 #s(literal 1 binary64) (/.f64 x (fma.f64 (pow.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (.f64 x x) #s(literal 1/2 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64)))) (/.f64 y (-.f64 (fma.f64 (pow.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (.f64 x x) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)) (.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))))
(.f64 (.f64 (neg.f64 (fma.f64 (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x) x #s(literal 1 binary64))) y) (/.f64 #s(literal -1 binary64) x))
(.f64 (.f64 y (neg.f64 (fma.f64 (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x) x #s(literal 1 binary64)))) (/.f64 #s(literal -1 binary64) x))
(.f64 (.f64 y #s(literal 1 binary64)) (/.f64 (fma.f64 (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x) x #s(literal 1 binary64)) x))
(.f64 (neg.f64 (.f64 (fma.f64 (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x) x #s(literal 1 binary64)) y)) (/.f64 #s(literal -1 binary64) x))
(.f64 (.f64 #s(literal 1 binary64) y) (/.f64 (fma.f64 (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x) x #s(literal 1 binary64)) x))
(.f64 (.f64 (fma.f64 (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x) x #s(literal 1 binary64)) y) (pow.f64 x #s(literal -1 binary64)))
(.f64 (neg.f64 y) (/.f64 (neg.f64 (fma.f64 (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (.f64 x x) #s(literal 1/2 binary64)) x) x #s(literal 1 binary64))) x))
(.f64 (pow.f64 x #s(literal -1 binary64)) (/.f64 y (pow.f64 (fma.f64 (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (.f64 x x) #s(literal 1/2 binary64)) x) x #s(literal 1 binary64)) #s(literal -1 binary64))))
(.f64 (/.f64 (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)) x) (*.f64 y #s(literal 1 binary64)))
(.f64 (/.f64 (fma.f64 (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (.f64 x x) #s(literal 1/2 binary64)) x) x #s(literal 1 binary64)) x) y)
(.f64 (fma.f64 (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (.f64 x x) #s(literal 1/2 binary64)) x) x #s(literal 1 binary64)) (/.f64 y x))
(.f64 #s(literal 1 binary64) (.f64 (fma.f64 (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x) x #s(literal 1 binary64)) (/.f64 y x)))
(.f64 (/.f64 y x) (/.f64 (fma.f64 (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (.f64 x x) #s(literal 1/2 binary64)) x) x #s(literal 1 binary64)) #s(literal 1 binary64)))
(.f64 (/.f64 y x) (fma.f64 (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (.f64 x x) #s(literal 1/2 binary64)) x) x #s(literal 1 binary64)))
(.f64 y (/.f64 (fma.f64 (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (.f64 x x) #s(literal 1/2 binary64)) x) x #s(literal 1 binary64)) x))
(pow.f64 (/.f64 x (.f64 (fma.f64 (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (.f64 x x) #s(literal 1/2 binary64)) x) x #s(literal 1 binary64)) y)) #s(literal -1 binary64))
(/.f64 (neg.f64 (.f64 (neg.f64 (fma.f64 (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (.f64 x x) #s(literal 1/2 binary64)) x) x #s(literal 1 binary64))) y)) (neg.f64 (neg.f64 x)))
(/.f64 (neg.f64 (.f64 y (neg.f64 (fma.f64 (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (.f64 x x) #s(literal 1/2 binary64)) x) x #s(literal 1 binary64))))) (neg.f64 (neg.f64 x)))
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(fma.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64))
(fma.f64 (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (.f64 x x) #s(literal 1/2 binary64))
(fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #s(literal 1/2 binary64))
(fma.f64 x (.f64 (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) x) #s(literal 1/2 binary64))
(-.f64 (/.f64 #s(literal 1/4 binary64) (-.f64 #s(literal 1/2 binary64) (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) x) x))) (/.f64 (.f64 (pow.f64 (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64))) (-.f64 #s(literal 1/2 binary64) (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) x) x))))
(-.f64 (/.f64 (.f64 (pow.f64 (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64))) (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (.f64 x x) #s(literal -1/2 binary64))) (/.f64 #s(literal 1/4 binary64) (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (.f64 x x) #s(literal -1/2 binary64))))
(+.f64 (.f64 (.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) x) x) #s(literal 1/2 binary64))
(+.f64 #s(literal 1/2 binary64) (.f64 (.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) x) x))

eval456.0ms (3.8%)

Memory: -17.2MiB live, 299.0MiB allocated
Compiler: Compiled 40 062 to 4 778 computations (88.1% saved)

prune115.0ms (1%)

Memory

-5.2MiB live, 120.4MiB allocated

Pruning

32 alts after pruning (27 fresh and 5 done)

	Pruned	Kept	Total
New	1 286	11	1 297
Fresh	7	16	23
Picked	3	2	5
Done	1	3	4
Total	1 297	32	1 329

Accuracy

100.0%

Counts

1 329 → 32

Alt Table

Click to see full alt table

Status	Accuracy	Program
	81.3%	(/.f64 (/.f64 (.f64 y #s(approx (cosh x) (fma.f64 (.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)))) z) x)
	90.0%	(/.f64 (.f64 (/.f64 #s(approx (cosh x) (fma.f64 (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (.f64 x x) #s(literal 1/2 binary64)) x) x #s(literal 1 binary64))) z) y) x)
	86.6%	(/.f64 (.f64 (cosh.f64 x) y) (.f64 z x))
	81.4%	(/.f64 (.f64 #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))) y) (*.f64 z x))
	81.4%	(/.f64 (.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))) y) (*.f64 z x))
	80.1%	(/.f64 (.f64 #s(approx (cosh x) (fma.f64 (fma.f64 #s(approx (+ ( 1/720 (* x x)) 1/24) #s(literal 1/24 binary64)) (.f64 x x) #s(literal 1/2 binary64)) (.f64 x x) #s(literal 1 binary64))) (/.f64 y x)) z)
	79.8%	(/.f64 (.f64 #s(approx (cosh x) (fma.f64 (fma.f64 #s(approx (+ ( 1/720 (* x x)) 1/24) #s(literal 1/24 binary64)) (.f64 x x) #s(literal 1/2 binary64)) (.f64 x x) #s(literal 1 binary64))) y) (*.f64 z x))
	72.2%	(/.f64 (.f64 #s(approx (cosh x) (fma.f64 (.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) (/.f64 y x)) z)
	73.8%	(/.f64 (.f64 #s(approx (cosh x) (fma.f64 (.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) y) (*.f64 z x))
	57.2%	(/.f64 #s(approx (/ (* y (cosh x)) z) (/.f64 y z)) x)
	83.2%	(/.f64 #s(approx (/ (* y (cosh x)) z) (.f64 (/.f64 y z) (fma.f64 (fma.f64 (.f64 #s(literal 1/24 binary64) x) x #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))) x)
	83.2%	(/.f64 #s(approx (/ (* y (cosh x)) z) (.f64 (/.f64 y z) (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)))) x)
	88.3%	(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 (.f64 y (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) y) x)) z)
	53.6%	(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 y x)) z)
✓	89.8%	(/.f64 #s(approx (* (cosh x) (/ y x)) (.f64 (/.f64 (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)) x) y)) z)
	89.8%	(/.f64 #s(approx (* (cosh x) (/ y x)) (.f64 (/.f64 (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)) x) y)) z)
✓	87.9%	(/.f64 #s(approx (* (cosh x) (/ y x)) (.f64 (/.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) x) y)) z)
✓	24.0%	(/.f64 #s(approx (* (cosh x) (/ y x)) (.f64 #s(approx (+ ( 1/2 x) (/ 1 x)) (*.f64 #s(literal 1/2 binary64) x)) y)) z)
	24.0%	(/.f64 #s(literal 1 binary64) (/.f64 z #s(approx (* (cosh x) (/ y x)) (.f64 #s(approx (+ ( 1/2 x) (/ 1 x)) (*.f64 #s(literal 1/2 binary64) x)) y))))
	87.6%	(/.f64 #s(literal -1 binary64) (.f64 (/.f64 z #s(approx ( (cosh x) y) (fma.f64 (.f64 y (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) y))) (neg.f64 x)))
	24.0%	(.f64 (neg.f64 #s(approx ( (cosh x) (/ y x)) (.f64 #s(approx (+ ( 1/2 x) (/ 1 x)) (*.f64 #s(literal 1/2 binary64) x)) y))) (/.f64 #s(literal -1 binary64) z))
	81.5%	(.f64 y (/.f64 #s(approx (cosh x) (fma.f64 (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (.f64 x x) #s(literal 1/2 binary64)) x) x #s(literal 1 binary64))) (*.f64 z x)))
✓	54.2%	#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 y (*.f64 z x)))
	56.3%	#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 z y) x)))
	53.7%	#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 x y) z)))
	87.1%	#s(approx (/ (* (cosh x) (/ y x)) z) (.f64 (/.f64 (/.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) z) x) y))
✓	57.2%	#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 y (neg.f64 z))))
	54.0%	#s(approx (/ (* (cosh x) (/ y x)) z) (.f64 (neg.f64 y) (/.f64 #s(literal -1 binary64) (.f64 z x))))
	25.1%	#s(approx (/ (* (cosh x) (/ y x)) z) (.f64 #s(approx (+ ( 1/2 x) (/ 1 x)) (*.f64 #s(literal 1/2 binary64) x)) (/.f64 #s(literal 1 binary64) (/.f64 z y))))
	24.3%	#s(approx (/ (* (cosh x) (/ y x)) z) #s(approx (* (+ (* 1/2 x) (/ 1 x)) (/ y z)) (*.f64 (/.f64 x (/.f64 z y)) #s(literal 1/2 binary64))))
	25.1%	#s(approx (/ (* (cosh x) (/ y x)) z) #s(approx (* (+ (* 1/2 x) (/ 1 x)) (/ y z)) (.f64 (.f64 (/.f64 y z) #s(literal 1/2 binary64)) x)))
	23.6%	#s(approx (/ (* (cosh x) (/ y x)) z) #s(approx (* (+ (* 1/2 x) (/ 1 x)) (/ y z)) (.f64 (.f64 (/.f64 x z) y) #s(literal 1/2 binary64))))

Compiler

Compiled 2 049 to 773 computations (62.3% saved)

regimes162.0ms (1.4%)

Memory

20.2MiB live, 137.1MiB allocated

Counts

60 → 2

Calls

Call 1

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

Outputs
#s(approx (/ (* (cosh x) (/ y x)) z) (.f64 (neg.f64 y) (/.f64 #s(literal -1 binary64) (.f64 z x))))
(/.f64 #s(literal -1 binary64) (.f64 (/.f64 z (.f64 (cosh.f64 x) y)) (neg.f64 x)))

Calls

5 calls:

61.0ms	x
44.0ms	z
22.0ms	(/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z)
17.0ms	y
15.0ms	(*.f64 (cosh.f64 x) (/.f64 y x))

Results

Accuracy	Segments	Branch
96.2%	2	`x`
96.6%	2	`y`
94.6%	1	`z`
99.9%	2	`(/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z)`
99.8%	2	`(*.f64 (cosh.f64 x) (/.f64 y x))`

Compiler

Compiled 17 to 22 computations (-29.4% saved)

regimes33.0ms (0.3%)

Memory

-10.6MiB live, 31.9MiB allocated

Counts

58 → 2

Calls

Call 1

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

Outputs

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

(/.f64 (/.f64 (*.f64 y (cosh.f64 x)) z) x)

Calls

1 calls:

30.0ms

(/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z)

Results

Accuracy	Segments	Branch
99.9%	2	`(/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z)`

Compiler

Compiled 8 to 7 computations (12.5% saved)

regimes174.0ms (1.4%)

Memory

16.5MiB live, 133.3MiB allocated

Counts

57 → 3

Calls

Call 1

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

Outputs

#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (neg.f64 y) (/.f64 #s(literal -1 binary64) (*.f64 z x))))

(/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z)

(/.f64 #s(approx (* (cosh x) (/ y x)) (*.f64 (/.f64 (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)) x) y)) z)

Calls

5 calls:

61.0ms	y
41.0ms	z
39.0ms	(*.f64 (cosh.f64 x) (/.f64 y x))
16.0ms	x
14.0ms	(/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z)

Results

Accuracy	Segments	Branch
94.9%	3	`z`
97.2%	3	`x`
94.6%	2	`y`
95.3%	2	`(*.f64 (cosh.f64 x) (/.f64 y x))`
95.3%	2	`(/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z)`

Compiler

Compiled 17 to 22 computations (-29.4% saved)

regimes401.0ms (3.3%)

Memory

-13.5MiB live, 29.4MiB allocated

Counts

56 → 2

Calls

Call 1

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

Outputs

(/.f64 (*.f64 y (cosh.f64 x)) (*.f64 z x))

(/.f64 #s(approx (* (cosh x) (/ y x)) (*.f64 (/.f64 (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)) x) y)) z)

Calls

1 calls:

398.0ms

Results

Accuracy	Segments	Branch
95.6%	2	`x`

Compiler

Compiled 1 to 3 computations (-200% saved)

regimes31.0ms (0.3%)

Memory

14.5MiB live, 53.3MiB allocated

Counts

53 → 2

Calls

Call 1

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

Outputs

#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (neg.f64 y) (/.f64 #s(literal -1 binary64) (*.f64 z x))))

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

Calls

2 calls:

16.0ms	x
13.0ms	(/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z)

Results

Accuracy	Segments	Branch
95.3%	2	`(/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z)`
92.0%	2	`x`

Compiler

Compiled 9 to 10 computations (-11.1% saved)

regimes876.0ms (7.3%)

Memory

7.5MiB live, 85.4MiB allocated

Counts

47 → 2

Calls

Call 1

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

Outputs

(/.f64 #s(approx (* (cosh x) (/ y x)) (*.f64 (/.f64 (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)) x) y)) z)

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

Calls

3 calls:

552.0ms	(/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z)
309.0ms	y
12.0ms	(*.f64 (cosh.f64 x) (/.f64 y x))

Results

Accuracy	Segments	Branch
94.6%	2	`y`
92.6%	2	`(*.f64 (cosh.f64 x) (/.f64 y x))`
92.7%	2	`(/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z)`

Compiler

Compiled 15 to 16 computations (-6.7% saved)

regimes281.0ms (2.3%)

Memory

-9.7MiB live, 37.6MiB allocated

Counts

41 → 2

Calls

Call 1

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

Outputs

(/.f64 #s(approx (* (cosh x) (/ y x)) (*.f64 (/.f64 (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)) x) y)) z)

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

Calls

1 calls:

279.0ms

Results

Accuracy	Segments	Branch
94.6%	2	`y`

Compiler

Compiled 1 to 3 computations (-200% saved)

regimes405.0ms (3.4%)

Memory

-12.2MiB live, 66.5MiB allocated

Counts

38 → 2

Calls

Call 1

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

Outputs

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

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

Calls

3 calls:

358.0ms	y
34.0ms	(/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z)
11.0ms	z

Results

Accuracy	Segments	Branch
92.7%	2	`(/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z)`
91.5%	2	`z`
92.6%	2	`y`

Compiler

Compiled 10 to 13 computations (-30% saved)

regimes66.0ms (0.6%)

Memory

-7.7MiB live, 73.4MiB allocated

Counts

30 → 2

Calls

Call 1

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

Outputs

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

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

Calls

4 calls:

29.0ms	x
19.0ms	y
8.0ms	(*.f64 (cosh.f64 x) (/.f64 y x))
8.0ms	(/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z)

Results

Accuracy	Segments	Branch
90.0%	2	`x`
91.5%	2	`(*.f64 (cosh.f64 x) (/.f64 y x))`
91.9%	2	`y`
91.5%	2	`(/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z)`

Compiler

Compiled 16 to 19 computations (-18.8% saved)

regimes10.0ms (0.1%)

Memory

16.0MiB live, 15.9MiB allocated

Counts

27 → 2

Calls

Call 1

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

Outputs

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

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

Calls

1 calls:

8.0ms

Results

Accuracy	Segments	Branch
91.9%	2	`y`

Compiler

Compiled 1 to 3 computations (-200% saved)

regimes74.0ms (0.6%)

Memory

8.5MiB live, 47.8MiB allocated

Counts

26 → 2

Calls

Call 1

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

Outputs

(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 y x)) z)

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

Calls

3 calls:

58.0ms	(*.f64 (cosh.f64 x) (/.f64 y x))
8.0ms	y
7.0ms	(/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z)

Results

Accuracy	Segments	Branch
91.5%	2	`(/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z)`
91.5%	2	`(*.f64 (cosh.f64 x) (/.f64 y x))`
87.1%	1	`y`

Compiler

Compiled 15 to 16 computations (-6.7% saved)

regimes69.0ms (0.6%)

Memory

-15.1MiB live, 62.7MiB allocated

Counts

25 → 3

Calls

Call 1

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

Outputs

#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (neg.f64 y) (/.f64 #s(literal -1 binary64) (*.f64 z x))))

(/.f64 #s(approx (/ (* y (cosh x)) z) (*.f64 (/.f64 y z) (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)))) x)

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

Calls

5 calls:

25.0ms	(*.f64 (cosh.f64 x) (/.f64 y x))
20.0ms	x
8.0ms	z
8.0ms	y
7.0ms	(/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z)

Results

Accuracy	Segments	Branch
85.2%	2	`y`
86.1%	2	`x`
83.2%	1	`z`
90.0%	3	`(/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z)`
90.0%	3	`(*.f64 (cosh.f64 x) (/.f64 y x))`

Compiler

Compiled 17 to 22 computations (-29.4% saved)

regimes41.0ms (0.3%)

Memory

-17.6MiB live, 23.4MiB allocated

Counts

24 → 2

Calls

Call 1

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

Outputs

#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (neg.f64 y) (/.f64 #s(literal -1 binary64) (*.f64 z x))))

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

Calls

2 calls:

7.0ms	(*.f64 (cosh.f64 x) (/.f64 y x))
7.0ms	(/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z)

Results

Accuracy	Segments	Branch
86.6%	2	`(*.f64 (cosh.f64 x) (/.f64 y x))`
86.6%	2	`(/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z)`

Compiler

Compiled 14 to 13 computations (7.1% saved)

regimes41.0ms (0.3%)

Memory

21.4MiB live, 60.4MiB allocated

Counts

21 → 2

Calls

Call 1

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

Outputs

#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (neg.f64 y) (/.f64 #s(literal -1 binary64) (*.f64 z x))))

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

Calls

5 calls:

15.0ms	y
7.0ms	z
6.0ms	x
6.0ms	(*.f64 (cosh.f64 x) (/.f64 y x))
6.0ms	(/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z)

Results

Accuracy	Segments	Branch
79.1%	2	`z`
77.7%	2	`y`
78.1%	2	`x`
80.9%	2	`(*.f64 (cosh.f64 x) (/.f64 y x))`
80.9%	2	`(/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z)`

Compiler

Compiled 17 to 22 computations (-29.4% saved)

regimes44.0ms (0.4%)

Memory

8.9MiB live, 47.7MiB allocated

Counts

19 → 2

Calls

Call 1

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

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

Calls

4 calls:

26.0ms	(*.f64 (cosh.f64 x) (/.f64 y x))
6.0ms	z
6.0ms	x
5.0ms	(/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z)

Results

Accuracy	Segments	Branch
73.8%	1	`x`
73.8%	1	`z`
78.1%	2	`(*.f64 (cosh.f64 x) (/.f64 y x))`
78.1%	2	`(/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z)`

Compiler

Compiled 16 to 19 computations (-18.8% saved)

regimes59.0ms (0.5%)

Memory

-23.8MiB live, 56.8MiB allocated

Counts

16 → 3

Calls

Call 1

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

Outputs

#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (neg.f64 y) (/.f64 #s(literal -1 binary64) (*.f64 z x))))

(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 y x)) z)

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

Calls

5 calls:

27.0ms	x
16.0ms	(*.f64 (cosh.f64 x) (/.f64 y x))
5.0ms	y
5.0ms	z
5.0ms	(/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z)

Results

Accuracy	Segments	Branch
71.0%	3	`x`
62.5%	2	`z`
62.5%	2	`y`
64.9%	3	`(/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z)`
64.8%	3	`(*.f64 (cosh.f64 x) (/.f64 y x))`

Compiler

Compiled 17 to 22 computations (-29.4% saved)

regimes3.0ms (0%)

Memory

7.1MiB live, 7.1MiB allocated

Counts

7 → 3

Calls

Call 1

Inputs
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 y (*.f64 z x)))
#s(approx (/ (* (cosh x) (/ y x)) z) #s(approx (* (+ (* 1/2 x) (/ 1 x)) (/ y z)) (.f64 (.f64 (/.f64 x z) y) #s(literal 1/2 binary64))))
#s(approx (/ (* (cosh x) (/ y x)) z) #s(approx (* (+ (* 1/2 x) (/ 1 x)) (/ y z)) (.f64 (.f64 (/.f64 y z) #s(literal 1/2 binary64)) x)))
#s(approx (/ (* (cosh x) (/ y x)) z) #s(approx (* (+ (* 1/2 x) (/ 1 x)) (/ y z)) (.f64 (.f64 (/.f64 y z) x) #s(literal 1/2 binary64))))
(/.f64 #s(approx (* (cosh x) (/ y x)) (.f64 #s(approx (+ ( 1/2 x) (/ 1 x)) (*.f64 #s(literal 1/2 binary64) x)) y)) z)
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 y x)) z)
(/.f64 #s(approx (/ (* y (cosh x)) z) (/.f64 y z)) x)

Outputs

#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 y (*.f64 z x)))

(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 y x)) z)

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

Calls

1 calls:

3.0ms

Results

Accuracy	Segments	Branch
71.0%	3	`x`

Compiler

Compiled 1 to 3 computations (-200% saved)

regimes3.0ms (0%)

Memory

5.7MiB live, 5.7MiB allocated

Counts

5 → 2

Calls

Call 1

Inputs
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 y (*.f64 z x)))
#s(approx (/ (* (cosh x) (/ y x)) z) #s(approx (* (+ (* 1/2 x) (/ 1 x)) (/ y z)) (.f64 (.f64 (/.f64 x z) y) #s(literal 1/2 binary64))))
#s(approx (/ (* (cosh x) (/ y x)) z) #s(approx (* (+ (* 1/2 x) (/ 1 x)) (/ y z)) (.f64 (.f64 (/.f64 y z) #s(literal 1/2 binary64)) x)))
#s(approx (/ (* (cosh x) (/ y x)) z) #s(approx (* (+ (* 1/2 x) (/ 1 x)) (/ y z)) (.f64 (.f64 (/.f64 y z) x) #s(literal 1/2 binary64))))
(/.f64 #s(approx (* (cosh x) (/ y x)) (.f64 #s(approx (+ ( 1/2 x) (/ 1 x)) (*.f64 #s(literal 1/2 binary64) x)) y)) z)

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

Calls

1 calls:

2.0ms

Results

Accuracy	Segments	Branch
69.3%	2	`x`

Compiler

Compiled 1 to 3 computations (-200% saved)

regimes2.0ms (0%)

Memory

5.2MiB live, 5.2MiB allocated

Counts

4 → 2

Calls

Call 1

Inputs
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 y (*.f64 z x)))
#s(approx (/ (* (cosh x) (/ y x)) z) #s(approx (* (+ (* 1/2 x) (/ 1 x)) (/ y z)) (.f64 (.f64 (/.f64 x z) y) #s(literal 1/2 binary64))))
#s(approx (/ (* (cosh x) (/ y x)) z) #s(approx (* (+ (* 1/2 x) (/ 1 x)) (/ y z)) (.f64 (.f64 (/.f64 y z) #s(literal 1/2 binary64)) x)))
#s(approx (/ (* (cosh x) (/ y x)) z) #s(approx (* (+ (* 1/2 x) (/ 1 x)) (/ y z)) (.f64 (.f64 (/.f64 y z) x) #s(literal 1/2 binary64))))

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

Calls

1 calls:

2.0ms

Results

Accuracy	Segments	Branch
68.9%	2	`x`

Compiler

Compiled 1 to 3 computations (-200% saved)

regimes6.0ms (0%)

Memory

15.2MiB live, 15.2MiB allocated

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

Inputs
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 y (*.f64 z x)))

Outputs
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 y (*.f64 z x)))

Calls

5 calls:

1.0ms	(*.f64 (cosh.f64 x) (/.f64 y x))
1.0ms	y
1.0ms	z
1.0ms	x
1.0ms	(/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z)

Results

Accuracy	Segments	Branch
54.2%	1	`y`
54.2%	1	`z`
54.2%	1	`(*.f64 (cosh.f64 x) (/.f64 y x))`
54.2%	1	`(/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z)`
54.2%	1	`x`

Compiler

Compiled 17 to 22 computations (-29.4% saved)

bsearch20.0ms (0.2%)

Memory

-38.6MiB live, 1.1MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	3341010666184.591	60114869497959.58

Compiler

Compiled 11 to 13 computations (-18.2% saved)

bsearch1.0ms (0%)

Memory

1.0MiB live, 1.0MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	2.9360085618174787e-40	1.7232704819485008e-36

Compiler

Compiled 11 to 13 computations (-18.2% saved)

bsearch18.0ms (0.1%)

Memory

30.7MiB live, 30.7MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	predicate-same
1×	narrow-enough

Steps

Time	Left	Right
4.0ms	8.449065118754003e+47	6.549215677779313e+52
11.0ms	3.795529163053656e-164	4.909044638114204e-160

Samples

9.0ms

176×

valid

Compiler

Compiled 343 to 285 computations (16.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 5.0ms

ival-div: 2.0ms (38.1% of total)

ival-cosh: 2.0ms (38.1% of total)

ival-mult: 1.0ms (19.1% of total)

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

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

bsearch28.0ms (0.2%)

Memory

-19.1MiB live, 20.5MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
26.0ms	8.449065118754003e+47	6.549215677779313e+52

Samples

22.0ms

112×

valid

Compiler

Compiled 407 to 301 computations (26% saved)

Precisions

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

ival-cosh: 17.0ms (89.4% of total)

ival-div: 1.0ms (5.3% of total)

ival-mult: 1.0ms (5.3% of total)

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

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

bsearch1.0ms (0%)

Memory

1.0MiB live, 1.0MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	60114869497959.58	205679499850761.4

Compiler

Compiled 11 to 13 computations (-18.2% saved)

bsearch14.0ms (0.1%)

Memory

22.2MiB live, 22.2MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
12.0ms	1.0378618280528703e+24	9.713480939906335e+27

Samples

7.0ms

128×

valid

Compiler

Compiled 435 to 301 computations (30.8% saved)

Precisions

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

ival-div: 2.0ms (52.6% of total)

ival-mult: 1.0ms (26.3% of total)

ival-cosh: 1.0ms (26.3% of total)

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

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

bsearch2.0ms (0%)

Memory

3.1MiB live, 3.1MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
1.0ms	1.0378618280528703e+24	9.713480939906335e+27

Compiler

Compiled 491 to 341 computations (30.5% saved)

bsearch15.0ms (0.1%)

Memory

-38.4MiB live, 1.2MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
15.0ms	2.9360085618174787e-40	1.7232704819485008e-36

Compiler

Compiled 11 to 13 computations (-18.2% saved)

bsearch2.0ms (0%)

Memory

3.1MiB live, 3.1MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
1.0ms	1.0378618280528703e+24	9.713480939906335e+27

Compiler

Compiled 323 to 253 computations (21.7% saved)

bsearch1.0ms (0%)

Memory

3.3MiB live, 3.3MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
1.0ms	1.0378618280528703e+24	9.713480939906335e+27

Compiler

Compiled 323 to 253 computations (21.7% saved)

bsearch0.0ms (0%)

Memory

0.6MiB live, 0.6MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	1.1154184087661042e+297	4.804561278361272e+301

Compiler

Compiled 11 to 13 computations (-18.2% saved)

bsearch1.0ms (0%)

Memory

1.2MiB live, 1.2MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	+inf	NaN
0.0ms	3341010666184.591	60114869497959.58

Compiler

Compiled 11 to 13 computations (-18.2% saved)

bsearch0.0ms (0%)

Memory

0.7MiB live, 0.7MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	3341010666184.591	60114869497959.58

Compiler

Compiled 11 to 13 computations (-18.2% saved)

bsearch0.0ms (0%)

Memory

0.9MiB live, 0.9MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	3341010666184.591	60114869497959.58

Compiler

Compiled 11 to 13 computations (-18.2% saved)

bsearch0.0ms (0%)

Memory

0.6MiB live, 0.6MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	1.4287694942365158e+256	+inf

Compiler

Compiled 11 to 13 computations (-18.2% saved)

bsearch42.0ms (0.3%)

Memory

-12.8MiB live, 30.1MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
15.0ms	3.0916595651246363e-9	1740.5255775642422
1.0ms	3.795529163053656e-164	4.909044638114204e-160

Samples

9.0ms

160×

valid

Compiler

Compiled 583 to 485 computations (16.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 6.0ms

ival-cosh: 3.0ms (52.2% of total)

ival-div: 2.0ms (34.8% of total)

ival-mult: 1.0ms (17.4% of total)

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

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

bsearch6.0ms (0.1%)

Memory

4.0MiB live, 4.0MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
1.0ms	3.0916595651246363e-9	1740.5255775642422
5.0ms	3.795529163053656e-164	4.909044638114204e-160

Samples

3.0ms

48×

valid

Compiler

Compiled 559 to 461 computations (17.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 1.0ms

ival-div: 1.0ms (70.3% of total)

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

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

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

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

bsearch1.0ms (0%)

Memory

1.5MiB live, 1.5MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
1.0ms	3.0916595651246363e-9	1740.5255775642422

Compiler

Compiled 371 to 303 computations (18.3% saved)

bsearch1.0ms (0%)

Memory

1.6MiB live, 1.6MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
1.0ms	3.0916595651246363e-9	1740.5255775642422

Compiler

Compiled 431 to 333 computations (22.7% saved)

simplify95.0ms (0.8%)

Memory

11.0MiB live, 50.6MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	164	997
1	202	997
2	259	997
3	370	997
4	522	997
5	781	997
6	1435	997
7	2874	997
8	5402	997
9	7822	997

Stop Event

1×	node limit

Calls

Call 1

Inputs
(if (<=.f64 (/.f64 (.f64 (cosh.f64 x) (/.f64 y x)) z) #s(literal 5000000000000 binary64)) #s(approx (/ ( (cosh x) (/ y x)) z) (.f64 (neg.f64 y) (/.f64 #s(literal -1 binary64) (.f64 z x)))) (/.f64 #s(literal -1 binary64) (.f64 (/.f64 z (.f64 (cosh.f64 x) y)) (neg.f64 x))))
(if (<=.f64 (/.f64 (.f64 (cosh.f64 x) (/.f64 y x)) z) #s(literal 6129982163463555/12259964326927110866866776217202473468949912977468817408 binary64)) #s(approx (/ ( (cosh x) (/ y x)) z) (.f64 (/.f64 (/.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 x x) #s(literal 1/2 binary64)) (.f64 x x) #s(literal 1 binary64)) z) x) y)) (/.f64 (/.f64 (.f64 y (cosh.f64 x)) z) x))
(if (<=.f64 x #s(literal 785125626436223/506532662216918085755909163048237445191949002959281848144001138878253517018177263964807989373425756138696031080481053366991595590260226478013534525648677207893210669360535830528 binary64)) #s(approx (/ (* (cosh x) (/ y x)) z) (.f64 (neg.f64 y) (/.f64 #s(literal -1 binary64) (.f64 z x)))) (if (<=.f64 x #s(literal 4999999999999999966104743371808139882308542209720320 binary64)) (/.f64 (.f64 (cosh.f64 x) (/.f64 y x)) z) (/.f64 #s(approx ( (cosh x) (/ y x)) (.f64 (/.f64 (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)) x) y)) z)))
(if (<=.f64 x #s(literal 3899999999999999840638900251518761817819956895547392 binary64)) (/.f64 (.f64 y (cosh.f64 x)) (.f64 z x)) (/.f64 #s(approx (* (cosh x) (/ y x)) (.f64 (/.f64 (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)) x) y)) z))
(if (<=.f64 (/.f64 (.f64 (cosh.f64 x) (/.f64 y x)) z) #s(literal 100000000000000 binary64)) #s(approx (/ ( (cosh x) (/ y x)) z) (.f64 (neg.f64 y) (/.f64 #s(literal -1 binary64) (.f64 z x)))) (/.f64 (.f64 (/.f64 #s(approx (cosh x) (fma.f64 (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (.f64 x x) #s(literal 1/2 binary64)) x) x #s(literal 1 binary64))) z) y) x))
(if (<=.f64 y #s(literal 2300000000000000058049167360 binary64)) (/.f64 #s(approx (* (cosh x) (/ y x)) (.f64 (/.f64 (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)) x) y)) z) (/.f64 #s(approx (/ (* y (cosh x)) z) (/.f64 (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) y) z)) x))
(if (<=.f64 y #s(literal 2300000000000000058049167360 binary64)) (/.f64 #s(approx (* (cosh x) (/ y x)) (.f64 (/.f64 (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)) x) y)) z) (/.f64 #s(approx (/ (* y (cosh x)) z) (/.f64 (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) y) z)) x))
(if (<=.f64 (/.f64 (.f64 (cosh.f64 x) (/.f64 y x)) z) #s(literal 6129982163463555/12259964326927110866866776217202473468949912977468817408 binary64)) #s(approx (/ ( (cosh x) (/ y x)) z) (.f64 (/.f64 (/.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 x x) #s(literal 1/2 binary64)) (.f64 x x) #s(literal 1 binary64)) z) x) y)) (/.f64 #s(approx (/ ( y (cosh x)) z) (/.f64 (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) y) z)) x))
(if (<=.f64 y #s(literal 2249999999999999961177522176 binary64)) (/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (.f64 x x) #s(literal 1 binary64)) y) x)) z) (/.f64 (/.f64 (.f64 y #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)))) z) x))
(if (<=.f64 y #s(literal 2249999999999999961177522176 binary64)) (/.f64 #s(approx (* (cosh x) (/ y x)) (.f64 (/.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 x x) #s(literal 1/2 binary64)) (.f64 x x) #s(literal 1 binary64)) x) y)) z) (/.f64 (/.f64 (.f64 y #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)))) z) x))
(if (<=.f64 (.f64 (cosh.f64 x) (/.f64 y x)) #s(literal 2000000000000000035305602925512759428749757561439729553678886278239489647738510486138024445766940718157644145658438822457069868805425249411230900984655958913001590912678403523898902321614894589055312445487235184097699935780211662725723584850659655856794504748796766044486617020781396860116918075392 binary64)) (/.f64 #s(approx ( (cosh x) (/ y x)) (/.f64 y x)) z) #s(approx (/ (* (cosh x) (/ y x)) z) (.f64 (/.f64 (/.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) z) x) y)))
(if (<=.f64 (/.f64 (.f64 (cosh.f64 x) (/.f64 y x)) z) #s(literal 5000000000000 binary64)) #s(approx (/ ( (cosh x) (/ y x)) z) (.f64 (neg.f64 y) (/.f64 #s(literal -1 binary64) (.f64 z x)))) (if (<=.f64 (/.f64 (.f64 (cosh.f64 x) (/.f64 y x)) z) #s(literal +inf.0 binary64)) (/.f64 #s(approx (/ ( y (cosh x)) z) (.f64 (/.f64 y z) (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)))) x) (/.f64 (/.f64 (.f64 y #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)))) z) x)))
(if (<=.f64 (/.f64 (.f64 (cosh.f64 x) (/.f64 y x)) z) #s(literal 5000000000000 binary64)) #s(approx (/ ( (cosh x) (/ y x)) z) (.f64 (neg.f64 y) (/.f64 #s(literal -1 binary64) (.f64 z x)))) (/.f64 (/.f64 (.f64 y #s(approx (cosh x) (fma.f64 (.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)))) z) x))
(if (<=.f64 (/.f64 (.f64 (cosh.f64 x) (/.f64 y x)) z) #s(literal 5000000000000 binary64)) #s(approx (/ ( (cosh x) (/ y x)) z) (.f64 (neg.f64 y) (/.f64 #s(literal -1 binary64) (.f64 z x)))) (/.f64 #s(approx (/ (* y (cosh x)) z) (.f64 (fma.f64 (.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)) (/.f64 y z))) x))
(if (<=.f64 (/.f64 (.f64 (cosh.f64 x) (/.f64 y x)) z) #s(literal 20000000000000000602553198002810850057809730795493902576642159598065482667552924656422247125382915271364876860343455656359338682733727546893769990039911439972557329123488427600520794113124591120448431860539020756576282704805706239832858824928352794692288512 binary64)) (/.f64 #s(approx ( (cosh x) (/ y x)) (/.f64 y x)) z) (/.f64 (.f64 #s(approx (cosh x) (fma.f64 (.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) y) (*.f64 z x)))
(if (<=.f64 x #s(literal 785125626436223/506532662216918085755909163048237445191949002959281848144001138878253517018177263964807989373425756138696031080481053366991595590260226478013534525648677207893210669360535830528 binary64)) #s(approx (/ (* (cosh x) (/ y x)) z) (.f64 (neg.f64 y) (/.f64 #s(literal -1 binary64) (.f64 z x)))) (if (<=.f64 x #s(literal 799388933858263/562949953421312 binary64)) (/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 y x)) z) (/.f64 #s(approx (* (cosh x) (/ y x)) (.f64 #s(approx (+ ( 1/2 x) (/ 1 x)) (*.f64 #s(literal 1/2 binary64) x)) y)) z)))
(if (<=.f64 x #s(literal 8712361790130991/4052261297735344686047273304385899561535592023674254785152009111026028136145418111718463914987406049109568248643848426935932764722081811824108276205189417663145685354884286644224 binary64)) #s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 y (.f64 z x))) (if (<=.f64 x #s(literal 799388933858263/562949953421312 binary64)) (/.f64 #s(approx ( (cosh x) (/ y x)) (/.f64 y x)) z) (/.f64 #s(approx (* (cosh x) (/ y x)) (.f64 #s(approx (+ ( 1/2 x) (/ 1 x)) (*.f64 #s(literal 1/2 binary64) x)) y)) z)))
(if (<=.f64 x #s(literal 799388933858263/562949953421312 binary64)) #s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 y (.f64 z x))) (/.f64 #s(approx ( (cosh x) (/ y x)) (.f64 #s(approx (+ ( 1/2 x) (/ 1 x)) (*.f64 #s(literal 1/2 binary64) x)) y)) z))
(if (<=.f64 x #s(literal 799388933858263/562949953421312 binary64)) #s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 y (.f64 z x))) #s(approx (/ ( (cosh x) (/ y x)) z) #s(approx (* (+ (* 1/2 x) (/ 1 x)) (/ y z)) (.f64 (.f64 (/.f64 x z) y) #s(literal 1/2 binary64)))))
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 y (*.f64 z x)))

Outputs
(if (<=.f64 (/.f64 (.f64 (cosh.f64 x) (/.f64 y x)) z) #s(literal 5000000000000 binary64)) #s(approx (/ ( (cosh x) (/ y x)) z) (.f64 (neg.f64 y) (/.f64 #s(literal -1 binary64) (.f64 z x)))) (/.f64 #s(literal -1 binary64) (.f64 (/.f64 z (.f64 (cosh.f64 x) y)) (neg.f64 x))))
(if (<=.f64 (/.f64 (.f64 (cosh.f64 x) (/.f64 y x)) z) #s(literal 5000000000000 binary64)) #s(approx (/ ( (cosh x) (/ y x)) z) (.f64 (neg.f64 y) (/.f64 #s(literal -1 binary64) (.f64 z x)))) (/.f64 (neg.f64 #s(literal -1 binary64)) (.f64 (/.f64 z (.f64 (cosh.f64 x) y)) x)))
(if (<=.f64 (/.f64 (.f64 (cosh.f64 x) (/.f64 y x)) z) #s(literal 6129982163463555/12259964326927110866866776217202473468949912977468817408 binary64)) #s(approx (/ ( (cosh x) (/ y x)) z) (.f64 (/.f64 (/.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 x x) #s(literal 1/2 binary64)) (.f64 x x) #s(literal 1 binary64)) z) x) y)) (/.f64 (/.f64 (.f64 y (cosh.f64 x)) z) x))
(if (<=.f64 x #s(literal 785125626436223/506532662216918085755909163048237445191949002959281848144001138878253517018177263964807989373425756138696031080481053366991595590260226478013534525648677207893210669360535830528 binary64)) #s(approx (/ (* (cosh x) (/ y x)) z) (.f64 (neg.f64 y) (/.f64 #s(literal -1 binary64) (.f64 z x)))) (if (<=.f64 x #s(literal 4999999999999999966104743371808139882308542209720320 binary64)) (/.f64 (.f64 (cosh.f64 x) (/.f64 y x)) z) (/.f64 #s(approx ( (cosh x) (/ y x)) (.f64 (/.f64 (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)) x) y)) z)))
(if (<=.f64 x #s(literal 3899999999999999840638900251518761817819956895547392 binary64)) (/.f64 (.f64 y (cosh.f64 x)) (.f64 z x)) (/.f64 #s(approx (* (cosh x) (/ y x)) (.f64 (/.f64 (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)) x) y)) z))
(if (<=.f64 (/.f64 (.f64 (cosh.f64 x) (/.f64 y x)) z) #s(literal 100000000000000 binary64)) #s(approx (/ ( (cosh x) (/ y x)) z) (.f64 (neg.f64 y) (/.f64 #s(literal -1 binary64) (.f64 z x)))) (/.f64 (.f64 (/.f64 #s(approx (cosh x) (fma.f64 (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (.f64 x x) #s(literal 1/2 binary64)) x) x #s(literal 1 binary64))) z) y) x))
(if (<=.f64 y #s(literal 2300000000000000058049167360 binary64)) (/.f64 #s(approx (* (cosh x) (/ y x)) (.f64 (/.f64 (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)) x) y)) z) (/.f64 #s(approx (/ (* y (cosh x)) z) (/.f64 (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) y) z)) x))
(if (<=.f64 y #s(literal 2300000000000000058049167360 binary64)) (/.f64 #s(approx (* (cosh x) (/ y x)) (.f64 (/.f64 (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)) x) y)) z) (/.f64 #s(approx (/ (* y (cosh x)) z) (/.f64 (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) y) z)) x))
(if (<=.f64 (/.f64 (.f64 (cosh.f64 x) (/.f64 y x)) z) #s(literal 6129982163463555/12259964326927110866866776217202473468949912977468817408 binary64)) #s(approx (/ ( (cosh x) (/ y x)) z) (.f64 (/.f64 (/.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 x x) #s(literal 1/2 binary64)) (.f64 x x) #s(literal 1 binary64)) z) x) y)) (/.f64 #s(approx (/ ( y (cosh x)) z) (/.f64 (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) y) z)) x))
(if (<=.f64 y #s(literal 2249999999999999961177522176 binary64)) (/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (.f64 x x) #s(literal 1 binary64)) y) x)) z) (/.f64 (/.f64 (.f64 y #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)))) z) x))
(if (<=.f64 y #s(literal 2249999999999999961177522176 binary64)) (/.f64 #s(approx (* (cosh x) (/ y x)) (.f64 (/.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 x x) #s(literal 1/2 binary64)) (.f64 x x) #s(literal 1 binary64)) x) y)) z) (/.f64 (/.f64 (.f64 y #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)))) z) x))
(if (<=.f64 (.f64 (cosh.f64 x) (/.f64 y x)) #s(literal 2000000000000000035305602925512759428749757561439729553678886278239489647738510486138024445766940718157644145658438822457069868805425249411230900984655958913001590912678403523898902321614894589055312445487235184097699935780211662725723584850659655856794504748796766044486617020781396860116918075392 binary64)) (/.f64 #s(approx ( (cosh x) (/ y x)) (/.f64 y x)) z) #s(approx (/ (* (cosh x) (/ y x)) z) (.f64 (/.f64 (/.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) z) x) y)))
(if (<=.f64 (/.f64 (.f64 (cosh.f64 x) (/.f64 y x)) z) #s(literal 5000000000000 binary64)) #s(approx (/ ( (cosh x) (/ y x)) z) (.f64 (neg.f64 y) (/.f64 #s(literal -1 binary64) (.f64 z x)))) (if (<=.f64 (/.f64 (.f64 (cosh.f64 x) (/.f64 y x)) z) #s(literal +inf.0 binary64)) (/.f64 #s(approx (/ ( y (cosh x)) z) (.f64 (/.f64 y z) (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)))) x) (/.f64 (/.f64 (.f64 y #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)))) z) x)))
(if (<=.f64 (/.f64 (.f64 (cosh.f64 x) (/.f64 y x)) z) #s(literal 5000000000000 binary64)) #s(approx (/ ( (cosh x) (/ y x)) z) (.f64 (neg.f64 y) (/.f64 #s(literal -1 binary64) (.f64 z x)))) (/.f64 (/.f64 (.f64 y #s(approx (cosh x) (fma.f64 (.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)))) z) x))
(if (<=.f64 (/.f64 (.f64 (cosh.f64 x) (/.f64 y x)) z) #s(literal 5000000000000 binary64)) #s(approx (/ ( (cosh x) (/ y x)) z) (.f64 (neg.f64 y) (/.f64 #s(literal -1 binary64) (.f64 z x)))) (/.f64 #s(approx (/ (* y (cosh x)) z) (.f64 (fma.f64 (.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)) (/.f64 y z))) x))
(if (<=.f64 (/.f64 (.f64 (cosh.f64 x) (/.f64 y x)) z) #s(literal 20000000000000000602553198002810850057809730795493902576642159598065482667552924656422247125382915271364876860343455656359338682733727546893769990039911439972557329123488427600520794113124591120448431860539020756576282704805706239832858824928352794692288512 binary64)) (/.f64 #s(approx ( (cosh x) (/ y x)) (/.f64 y x)) z) (/.f64 (.f64 #s(approx (cosh x) (fma.f64 (.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) y) (*.f64 z x)))
(if (<=.f64 x #s(literal 785125626436223/506532662216918085755909163048237445191949002959281848144001138878253517018177263964807989373425756138696031080481053366991595590260226478013534525648677207893210669360535830528 binary64)) #s(approx (/ (* (cosh x) (/ y x)) z) (.f64 (neg.f64 y) (/.f64 #s(literal -1 binary64) (.f64 z x)))) (if (<=.f64 x #s(literal 799388933858263/562949953421312 binary64)) (/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 y x)) z) (/.f64 #s(approx (* (cosh x) (/ y x)) (.f64 #s(approx (+ ( 1/2 x) (/ 1 x)) (*.f64 #s(literal 1/2 binary64) x)) y)) z)))
(if (<=.f64 x #s(literal 8712361790130991/4052261297735344686047273304385899561535592023674254785152009111026028136145418111718463914987406049109568248643848426935932764722081811824108276205189417663145685354884286644224 binary64)) #s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 y (.f64 z x))) (if (<=.f64 x #s(literal 799388933858263/562949953421312 binary64)) (/.f64 #s(approx ( (cosh x) (/ y x)) (/.f64 y x)) z) (/.f64 #s(approx (* (cosh x) (/ y x)) (.f64 #s(approx (+ ( 1/2 x) (/ 1 x)) (*.f64 #s(literal 1/2 binary64) x)) y)) z)))
(if (<=.f64 x #s(literal 799388933858263/562949953421312 binary64)) #s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 y (.f64 z x))) (/.f64 #s(approx ( (cosh x) (/ y x)) (.f64 #s(approx (+ ( 1/2 x) (/ 1 x)) (*.f64 #s(literal 1/2 binary64) x)) y)) z))
(if (<=.f64 x #s(literal 799388933858263/562949953421312 binary64)) #s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 y (.f64 z x))) #s(approx (/ ( (cosh x) (/ y x)) z) #s(approx (* (+ (* 1/2 x) (/ 1 x)) (/ y z)) (.f64 (.f64 (/.f64 x z) y) #s(literal 1/2 binary64)))))
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 y (*.f64 z x)))

soundness2.5s (20.6%)

Memory

17.3MiB live, 1 400.8MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	46	307
0	75	307
1	271	304
2	1835	304
0	8277	304
0	192	899
1	604	887
2	1972	833
3	4792	805
0	8271	753
0	192	899
1	638	883
2	2036	814
3	5239	782
0	8281	725
0	173	806
1	546	796
2	1630	756
3	4700	742
0	8248	693
0	49	333
0	80	327
1	303	321
2	1698	321
0	8391	321
0	37	265
0	65	265
1	249	265
2	1662	265
0	8588	265
0	70	214
1	201	210
2	600	198
3	1414	192
4	2105	192
5	2771	190
6	3308	190
7	4809	186
8	5455	186
9	5925	186
10	6457	186
11	7745	186
0	8026	168
0	7	19
0	11	19
1	36	19
2	208	19
3	2161	19
0	8687	19

Stop Event

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

Compiler

Compiled 1 776 to 765 computations (56.9% saved)

preprocess804.0ms (6.7%)

Memory: 7.8MiB live, 434.5MiB allocated
Compiler: Compiled 2 308 to 532 computations (76.9% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze68.0ms (0.6%)

sample819.0ms (6.8%)

explain315.0ms (2.6%)

preprocess156.0ms (1.3%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify85.0ms (0.7%)

localize43.0ms (0.4%)

series18.0ms (0.1%)

simplify223.0ms (1.9%)

rewrite304.0ms (2.5%)

eval151.0ms (1.3%)

prune47.0ms (0.4%)

simplify183.0ms (1.5%)

localize107.0ms (0.9%)

series52.0ms (0.4%)

simplify296.0ms (2.5%)

rewrite211.0ms (1.8%)

eval186.0ms (1.5%)

prune35.0ms (0.3%)

simplify103.0ms (0.9%)

localize241.0ms (2%)

series53.0ms (0.4%)

simplify198.0ms (1.7%)

rewrite262.0ms (2.2%)

eval158.0ms (1.3%)

prune137.0ms (1.1%)

simplify97.0ms (0.8%)

localize181.0ms (1.5%)

series39.0ms (0.3%)

simplify202.0ms (1.7%)

rewrite163.0ms (1.4%)

eval456.0ms (3.8%)

prune115.0ms (1%)

regimes162.0ms (1.4%)

regimes33.0ms (0.3%)

regimes174.0ms (1.4%)

regimes401.0ms (3.3%)

regimes31.0ms (0.3%)

regimes876.0ms (7.3%)

regimes281.0ms (2.3%)

regimes405.0ms (3.4%)

regimes66.0ms (0.6%)

regimes10.0ms (0.1%)

regimes74.0ms (0.6%)

regimes69.0ms (0.6%)

regimes41.0ms (0.3%)

regimes41.0ms (0.3%)

regimes44.0ms (0.4%)

regimes59.0ms (0.5%)

regimes3.0ms (0%)

regimes3.0ms (0%)

regimes2.0ms (0%)

regimes6.0ms (0%)

bsearch20.0ms (0.2%)

bsearch1.0ms (0%)

bsearch18.0ms (0.1%)

bsearch28.0ms (0.2%)

bsearch1.0ms (0%)

bsearch14.0ms (0.1%)

bsearch2.0ms (0%)

bsearch15.0ms (0.1%)

bsearch2.0ms (0%)

bsearch1.0ms (0%)

bsearch0.0ms (0%)

bsearch1.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch42.0ms (0.3%)

bsearch6.0ms (0.1%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

simplify95.0ms (0.8%)

soundness2.5s (20.6%)

preprocess804.0ms (6.7%)

end0.0ms (0%)

Profiling