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

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated

analyze67.0ms (0.6%)

Memory

12.9MiB live, 132.3MiB 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)

sample1.1s (10.2%)

Memory

-17.7MiB live, 1 545.2MiB allocated

Samples

831.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 622.0ms

ival-mult: 296.0ms (47.6% of total)

ival-cosh: 163.0ms (26.2% of total)

ival-div: 153.0ms (24.6% of total)

ival-true: 6.0ms (1% of total)

ival-assert: 4.0ms (0.6% of total)

Bogosity

explain95.0ms (0.9%)

Memory

23.8MiB live, 141.2MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
25	-	-	`(*.f64 (cosh.f64 x) (/.f64 y x))`
17	-	-	`(/.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**	25	0
↳	`(cosh.f64 x)`	overflow	132
↳	`(/.f64 y x)`	underflow	25
`/.f64`	`(/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z)`	o/n	17	0
↳	`(cosh.f64 x)`	overflow	132
↳	`(/.f64 y x)`	overflow	35
↳	`(*.f64 (cosh.f64 x) (/.f64 y x))`	overflow	167

Confusion

	Predicted +	Predicted -
+	42	0
-	0	214

Precision

1.0

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	42	0	0
-	0	0	214

Precision?

1.0

Recall?

1.0

Freqs

test

number	freq
0	214
1	42

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

56.0ms

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: 8.0ms (47.2% of total)

ival-cosh: 6.0ms (35.4% of total)

ival-mult: 3.0ms (17.7% of total)

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

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

preprocess188.0ms (1.8%)

Memory

-14.9MiB live, 139.0MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	31	87
1	106	75
2	336	75
3	1231	75
4	4255	75
5	7562	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: 0.4MiB live, 0.4MiB allocated
Compiler: Compiled 0 to 3 computations (-∞% saved)

prune0.0ms (0%)

Memory

1.1MiB live, 1.1MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	83.8%	(/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z)

Compiler

Compiled 8 to 7 computations (12.5% saved)

simplify88.0ms (0.8%)

Memory

-5.4MiB live, 77.0MiB 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

localize20.0ms (0.2%)

Memory

30.7MiB live, 30.7MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0	(/.f64 y x)
accuracy	0	(cosh.f64 x)
accuracy	4.09649889910477	(/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z)
accuracy	4.984375000000001	(*.f64 (cosh.f64 x) (/.f64 y x))

Samples

15.0ms

256×

valid

Compiler

Compiled 24 to 9 computations (62.5% saved)

Precisions

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

ival-div: 3.0ms (38.3% of total)

ival-cosh: 3.0ms (38.3% of total)

ival-mult: 1.0ms (12.8% of total)

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

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

series30.0ms (0.3%)

Memory

-15.5MiB live, 23.1MiB allocated

Counts

4 → 96

Calls

Call 1

Inputs
#s(alt (/.f64 (.f64 (cosh.f64 x) (/.f64 y x)) z) (patch (/.f64 (.f64 (cosh.f64 x) (/.f64 y x)) z) #<representation binary64>) () ())
#s(alt (.f64 (cosh.f64 x) (/.f64 y x)) (patch (.f64 (cosh.f64 x) (/.f64 y x)) #<representation binary64>) () ())
#s(alt (cosh.f64 x) (patch (cosh.f64 x) #<representation binary64>) () ())
#s(alt (/.f64 y x) (patch (/.f64 y x) #<representation binary64>) () ())

Outputs
#s(alt (* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) (taylor 0 z) (#s(alt (/.f64 (.f64 (cosh.f64 x) (/.f64 y x)) z) (patch (/.f64 (.f64 (cosh.f64 x) (/.f64 y x)) z) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) (taylor 0 z) (#s(alt (/.f64 (.f64 (cosh.f64 x) (/.f64 y x)) z) (patch (/.f64 (.f64 (cosh.f64 x) (/.f64 y x)) z) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) (taylor 0 z) (#s(alt (/.f64 (.f64 (cosh.f64 x) (/.f64 y x)) z) (patch (/.f64 (.f64 (cosh.f64 x) (/.f64 y x)) z) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) (taylor 0 z) (#s(alt (/.f64 (.f64 (cosh.f64 x) (/.f64 y x)) z) (patch (/.f64 (.f64 (cosh.f64 x) (/.f64 y x)) z) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) (taylor inf z) (#s(alt (/.f64 (.f64 (cosh.f64 x) (/.f64 y x)) z) (patch (/.f64 (.f64 (cosh.f64 x) (/.f64 y x)) z) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) (taylor inf z) (#s(alt (/.f64 (.f64 (cosh.f64 x) (/.f64 y x)) z) (patch (/.f64 (.f64 (cosh.f64 x) (/.f64 y x)) z) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) (taylor inf z) (#s(alt (/.f64 (.f64 (cosh.f64 x) (/.f64 y x)) z) (patch (/.f64 (.f64 (cosh.f64 x) (/.f64 y x)) z) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) (taylor inf z) (#s(alt (/.f64 (.f64 (cosh.f64 x) (/.f64 y x)) z) (patch (/.f64 (.f64 (cosh.f64 x) (/.f64 y x)) z) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) (taylor -inf z) (#s(alt (/.f64 (.f64 (cosh.f64 x) (/.f64 y x)) z) (patch (/.f64 (.f64 (cosh.f64 x) (/.f64 y x)) z) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) (taylor -inf z) (#s(alt (/.f64 (.f64 (cosh.f64 x) (/.f64 y x)) z) (patch (/.f64 (.f64 (cosh.f64 x) (/.f64 y x)) z) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) (taylor -inf z) (#s(alt (/.f64 (.f64 (cosh.f64 x) (/.f64 y x)) z) (patch (/.f64 (.f64 (cosh.f64 x) (/.f64 y x)) z) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) (taylor -inf z) (#s(alt (/.f64 (.f64 (cosh.f64 x) (/.f64 y x)) z) (patch (/.f64 (.f64 (cosh.f64 x) (/.f64 y x)) z) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) (taylor 0 y) (#s(alt (/.f64 (.f64 (cosh.f64 x) (/.f64 y x)) z) (patch (/.f64 (.f64 (cosh.f64 x) (/.f64 y x)) z) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) (taylor 0 y) (#s(alt (/.f64 (.f64 (cosh.f64 x) (/.f64 y x)) z) (patch (/.f64 (.f64 (cosh.f64 x) (/.f64 y x)) z) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) (taylor 0 y) (#s(alt (/.f64 (.f64 (cosh.f64 x) (/.f64 y x)) z) (patch (/.f64 (.f64 (cosh.f64 x) (/.f64 y x)) z) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) (taylor 0 y) (#s(alt (/.f64 (.f64 (cosh.f64 x) (/.f64 y x)) z) (patch (/.f64 (.f64 (cosh.f64 x) (/.f64 y x)) z) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) x)) (taylor 0 y) (#s(alt (.f64 (cosh.f64 x) (/.f64 y x)) (patch (.f64 (cosh.f64 x) (/.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) x)) (taylor 0 y) (#s(alt (.f64 (cosh.f64 x) (/.f64 y x)) (patch (.f64 (cosh.f64 x) (/.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) x)) (taylor 0 y) (#s(alt (.f64 (cosh.f64 x) (/.f64 y x)) (patch (.f64 (cosh.f64 x) (/.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) x)) (taylor 0 y) (#s(alt (.f64 (cosh.f64 x) (/.f64 y x)) (patch (.f64 (cosh.f64 x) (/.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (/ y x) (taylor 0 y) (#s(alt (/.f64 y x) (patch (/.f64 y x) #<representation binary64>) () ())) ())
#s(alt (/ y x) (taylor 0 y) (#s(alt (/.f64 y x) (patch (/.f64 y x) #<representation binary64>) () ())) ())
#s(alt (/ y x) (taylor 0 y) (#s(alt (/.f64 y x) (patch (/.f64 y x) #<representation binary64>) () ())) ())
#s(alt (/ y x) (taylor 0 y) (#s(alt (/.f64 y x) (patch (/.f64 y x) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) (taylor inf y) (#s(alt (/.f64 (.f64 (cosh.f64 x) (/.f64 y x)) z) (patch (/.f64 (.f64 (cosh.f64 x) (/.f64 y x)) z) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) (taylor inf y) (#s(alt (/.f64 (.f64 (cosh.f64 x) (/.f64 y x)) z) (patch (/.f64 (.f64 (cosh.f64 x) (/.f64 y x)) z) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) (taylor inf y) (#s(alt (/.f64 (.f64 (cosh.f64 x) (/.f64 y x)) z) (patch (/.f64 (.f64 (cosh.f64 x) (/.f64 y x)) z) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) (taylor inf y) (#s(alt (/.f64 (.f64 (cosh.f64 x) (/.f64 y x)) z) (patch (/.f64 (.f64 (cosh.f64 x) (/.f64 y x)) z) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) x)) (taylor inf y) (#s(alt (.f64 (cosh.f64 x) (/.f64 y x)) (patch (.f64 (cosh.f64 x) (/.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) x)) (taylor inf y) (#s(alt (.f64 (cosh.f64 x) (/.f64 y x)) (patch (.f64 (cosh.f64 x) (/.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) x)) (taylor inf y) (#s(alt (.f64 (cosh.f64 x) (/.f64 y x)) (patch (.f64 (cosh.f64 x) (/.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) x)) (taylor inf y) (#s(alt (.f64 (cosh.f64 x) (/.f64 y x)) (patch (.f64 (cosh.f64 x) (/.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (/ y x) (taylor inf y) (#s(alt (/.f64 y x) (patch (/.f64 y x) #<representation binary64>) () ())) ())
#s(alt (/ y x) (taylor inf y) (#s(alt (/.f64 y x) (patch (/.f64 y x) #<representation binary64>) () ())) ())
#s(alt (/ y x) (taylor inf y) (#s(alt (/.f64 y x) (patch (/.f64 y x) #<representation binary64>) () ())) ())
#s(alt (/ y x) (taylor inf y) (#s(alt (/.f64 y x) (patch (/.f64 y x) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) (taylor -inf y) (#s(alt (/.f64 (.f64 (cosh.f64 x) (/.f64 y x)) z) (patch (/.f64 (.f64 (cosh.f64 x) (/.f64 y x)) z) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) (taylor -inf y) (#s(alt (/.f64 (.f64 (cosh.f64 x) (/.f64 y x)) z) (patch (/.f64 (.f64 (cosh.f64 x) (/.f64 y x)) z) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) (taylor -inf y) (#s(alt (/.f64 (.f64 (cosh.f64 x) (/.f64 y x)) z) (patch (/.f64 (.f64 (cosh.f64 x) (/.f64 y x)) z) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) (taylor -inf y) (#s(alt (/.f64 (.f64 (cosh.f64 x) (/.f64 y x)) z) (patch (/.f64 (.f64 (cosh.f64 x) (/.f64 y x)) z) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) x)) (taylor -inf y) (#s(alt (.f64 (cosh.f64 x) (/.f64 y x)) (patch (.f64 (cosh.f64 x) (/.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) x)) (taylor -inf y) (#s(alt (.f64 (cosh.f64 x) (/.f64 y x)) (patch (.f64 (cosh.f64 x) (/.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) x)) (taylor -inf y) (#s(alt (.f64 (cosh.f64 x) (/.f64 y x)) (patch (.f64 (cosh.f64 x) (/.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) x)) (taylor -inf y) (#s(alt (.f64 (cosh.f64 x) (/.f64 y x)) (patch (.f64 (cosh.f64 x) (/.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (/ y x) (taylor -inf y) (#s(alt (/.f64 y x) (patch (/.f64 y x) #<representation binary64>) () ())) ())
#s(alt (/ y x) (taylor -inf y) (#s(alt (/.f64 y x) (patch (/.f64 y x) #<representation binary64>) () ())) ())
#s(alt (/ y x) (taylor -inf y) (#s(alt (/.f64 y x) (patch (/.f64 y x) #<representation binary64>) () ())) ())
#s(alt (/ y x) (taylor -inf y) (#s(alt (/.f64 y x) (patch (/.f64 y x) #<representation binary64>) () ())) ())
#s(alt (/ y (* x z)) (taylor 0 x) (#s(alt (/.f64 (.f64 (cosh.f64 x) (/.f64 y x)) z) (patch (/.f64 (.f64 (cosh.f64 x) (/.f64 y x)) z) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* 1/2 (/ (* (pow x 2) y) z)) (/ y z)) x) (taylor 0 x) (#s(alt (/.f64 (.f64 (cosh.f64 x) (/.f64 y x)) z) (patch (/.f64 (.f64 (cosh.f64 x) (/.f64 y x)) z) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* (pow x 2) (+ (* 1/24 (/ (* (pow x 2) y) z)) (* 1/2 (/ y z)))) (/ y z)) x) (taylor 0 x) (#s(alt (/.f64 (.f64 (cosh.f64 x) (/.f64 y x)) z) (patch (/.f64 (.f64 (cosh.f64 x) (/.f64 y x)) z) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* (pow x 2) (+ (* 1/2 (/ y z)) (* (pow x 2) (+ (* 1/720 (/ (* (pow x 2) y) z)) (* 1/24 (/ y z)))))) (/ y z)) x) (taylor 0 x) (#s(alt (/.f64 (.f64 (cosh.f64 x) (/.f64 y x)) z) (patch (/.f64 (.f64 (cosh.f64 x) (/.f64 y x)) z) #<representation binary64>) () ())) ())
#s(alt (/ y x) (taylor 0 x) (#s(alt (.f64 (cosh.f64 x) (/.f64 y x)) (patch (.f64 (cosh.f64 x) (/.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (/ (+ y (* 1/2 (* (pow x 2) y))) x) (taylor 0 x) (#s(alt (.f64 (cosh.f64 x) (/.f64 y x)) (patch (.f64 (cosh.f64 x) (/.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (/ (+ y (* (pow x 2) (+ (* 1/24 (* (pow x 2) y)) (* 1/2 y)))) x) (taylor 0 x) (#s(alt (.f64 (cosh.f64 x) (/.f64 y x)) (patch (.f64 (cosh.f64 x) (/.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (/ (+ y (* (pow x 2) (+ (* 1/2 y) (* (pow x 2) (+ (* 1/720 (* (pow x 2) y)) (* 1/24 y)))))) x) (taylor 0 x) (#s(alt (.f64 (cosh.f64 x) (/.f64 y x)) (patch (.f64 (cosh.f64 x) (/.f64 y x)) #<representation binary64>) () ())) ())
#s(alt 1 (taylor 0 x) (#s(alt (cosh.f64 x) (patch (cosh.f64 x) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* 1/2 (pow x 2))) (taylor 0 x) (#s(alt (cosh.f64 x) (patch (cosh.f64 x) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2))))) (taylor 0 x) (#s(alt (cosh.f64 x) (patch (cosh.f64 x) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2))))))) (taylor 0 x) (#s(alt (cosh.f64 x) (patch (cosh.f64 x) #<representation binary64>) () ())) ())
#s(alt (/ y x) (taylor 0 x) (#s(alt (/.f64 y x) (patch (/.f64 y x) #<representation binary64>) () ())) ())
#s(alt (/ y x) (taylor 0 x) (#s(alt (/.f64 y x) (patch (/.f64 y x) #<representation binary64>) () ())) ())
#s(alt (/ y x) (taylor 0 x) (#s(alt (/.f64 y x) (patch (/.f64 y x) #<representation binary64>) () ())) ())
#s(alt (/ y x) (taylor 0 x) (#s(alt (/.f64 y x) (patch (/.f64 y x) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) (taylor inf x) (#s(alt (/.f64 (.f64 (cosh.f64 x) (/.f64 y x)) z) (patch (/.f64 (.f64 (cosh.f64 x) (/.f64 y x)) z) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) (taylor inf x) (#s(alt (/.f64 (.f64 (cosh.f64 x) (/.f64 y x)) z) (patch (/.f64 (.f64 (cosh.f64 x) (/.f64 y x)) z) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) (taylor inf x) (#s(alt (/.f64 (.f64 (cosh.f64 x) (/.f64 y x)) z) (patch (/.f64 (.f64 (cosh.f64 x) (/.f64 y x)) z) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) (taylor inf x) (#s(alt (/.f64 (.f64 (cosh.f64 x) (/.f64 y x)) z) (patch (/.f64 (.f64 (cosh.f64 x) (/.f64 y x)) z) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) x)) (taylor inf x) (#s(alt (.f64 (cosh.f64 x) (/.f64 y x)) (patch (.f64 (cosh.f64 x) (/.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) x)) (taylor inf x) (#s(alt (.f64 (cosh.f64 x) (/.f64 y x)) (patch (.f64 (cosh.f64 x) (/.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) x)) (taylor inf x) (#s(alt (.f64 (cosh.f64 x) (/.f64 y x)) (patch (.f64 (cosh.f64 x) (/.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) x)) (taylor inf x) (#s(alt (.f64 (cosh.f64 x) (/.f64 y x)) (patch (.f64 (cosh.f64 x) (/.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (+ (exp x) (/ 1 (exp x)))) (taylor inf x) (#s(alt (cosh.f64 x) (patch (cosh.f64 x) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (+ (exp x) (/ 1 (exp x)))) (taylor inf x) (#s(alt (cosh.f64 x) (patch (cosh.f64 x) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (+ (exp x) (/ 1 (exp x)))) (taylor inf x) (#s(alt (cosh.f64 x) (patch (cosh.f64 x) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (+ (exp x) (/ 1 (exp x)))) (taylor inf x) (#s(alt (cosh.f64 x) (patch (cosh.f64 x) #<representation binary64>) () ())) ())
#s(alt (/ y x) (taylor inf x) (#s(alt (/.f64 y x) (patch (/.f64 y x) #<representation binary64>) () ())) ())
#s(alt (/ y x) (taylor inf x) (#s(alt (/.f64 y x) (patch (/.f64 y x) #<representation binary64>) () ())) ())
#s(alt (/ y x) (taylor inf x) (#s(alt (/.f64 y x) (patch (/.f64 y x) #<representation binary64>) () ())) ())
#s(alt (/ y x) (taylor inf x) (#s(alt (/.f64 y x) (patch (/.f64 y x) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) (taylor -inf x) (#s(alt (/.f64 (.f64 (cosh.f64 x) (/.f64 y x)) z) (patch (/.f64 (.f64 (cosh.f64 x) (/.f64 y x)) z) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) (taylor -inf x) (#s(alt (/.f64 (.f64 (cosh.f64 x) (/.f64 y x)) z) (patch (/.f64 (.f64 (cosh.f64 x) (/.f64 y x)) z) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) (taylor -inf x) (#s(alt (/.f64 (.f64 (cosh.f64 x) (/.f64 y x)) z) (patch (/.f64 (.f64 (cosh.f64 x) (/.f64 y x)) z) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) (taylor -inf x) (#s(alt (/.f64 (.f64 (cosh.f64 x) (/.f64 y x)) z) (patch (/.f64 (.f64 (cosh.f64 x) (/.f64 y x)) z) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) x)) (taylor -inf x) (#s(alt (.f64 (cosh.f64 x) (/.f64 y x)) (patch (.f64 (cosh.f64 x) (/.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) x)) (taylor -inf x) (#s(alt (.f64 (cosh.f64 x) (/.f64 y x)) (patch (.f64 (cosh.f64 x) (/.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) x)) (taylor -inf x) (#s(alt (.f64 (cosh.f64 x) (/.f64 y x)) (patch (.f64 (cosh.f64 x) (/.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) x)) (taylor -inf x) (#s(alt (.f64 (cosh.f64 x) (/.f64 y x)) (patch (.f64 (cosh.f64 x) (/.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (+ (exp x) (/ 1 (exp x)))) (taylor -inf x) (#s(alt (cosh.f64 x) (patch (cosh.f64 x) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (+ (exp x) (/ 1 (exp x)))) (taylor -inf x) (#s(alt (cosh.f64 x) (patch (cosh.f64 x) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (+ (exp x) (/ 1 (exp x)))) (taylor -inf x) (#s(alt (cosh.f64 x) (patch (cosh.f64 x) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (+ (exp x) (/ 1 (exp x)))) (taylor -inf x) (#s(alt (cosh.f64 x) (patch (cosh.f64 x) #<representation binary64>) () ())) ())
#s(alt (/ y x) (taylor -inf x) (#s(alt (/.f64 y x) (patch (/.f64 y x) #<representation binary64>) () ())) ())
#s(alt (/ y x) (taylor -inf x) (#s(alt (/.f64 y x) (patch (/.f64 y x) #<representation binary64>) () ())) ())
#s(alt (/ y x) (taylor -inf x) (#s(alt (/.f64 y x) (patch (/.f64 y x) #<representation binary64>) () ())) ())
#s(alt (/ y x) (taylor -inf x) (#s(alt (/.f64 y x) (patch (/.f64 y x) #<representation binary64>) () ())) ())

Calls

9 calls:

Time	Variable		Point	Expression
11.0ms	z	@	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))
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))

simplify213.0ms (2%)

Memory

25.2MiB live, 178.0MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	70	1004
1	201	1000
2	596	988
3	1406	982
4	2096	982
5	2761	980
6	3294	980
7	4780	976
8	5441	976
9	5911	976
10	6442	976
11	7732	976
0	8015	958

Stop Event

1×	iter limit
1×	node limit

Counts

96 → 96

Calls

Call 1

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

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

rewrite138.0ms (1.3%)

Memory

3.3MiB live, 159.1MiB 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	8571	19

Stop Event

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

Counts

4 → 385

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
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eval114.0ms (1.1%)

Memory: 2.7MiB live, 115.5MiB allocated
Compiler: Compiled 6 704 to 1 082 computations (83.9% saved)

prune46.0ms (0.4%)

Memory

-22.5MiB live, 48.1MiB allocated

Pruning

11 alts after pruning (11 fresh and 0 done)

	Pruned	Kept	Total
New	470	11	481
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	471	11	482

Accuracy

100.0%

Counts

482 → 11

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	95.0%	(/.f64 (/.f64 (*.f64 y (cosh.f64 x)) z) x)
	66.7%	(/.f64 (.f64 #s(approx (cosh x) (fma.f64 (.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) (/.f64 y x)) z)
	84.8%	(/.f64 (.f64 y (cosh.f64 x)) (.f64 z x))
▶	44.7%	(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 y x)) z)
▶	62.4%	(/.f64 #s(approx (* (cosh x) (/ y x)) (*.f64 (fma.f64 x #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) y)) z)
	89.6%	(/.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)
	85.1%	(/.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)
	84.6%	(.f64 y (/.f64 (cosh.f64 x) (.f64 z x)))
	59.4%	#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (fma.f64 x #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) (/.f64 y z)))
▶	80.3%	#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)))
▶	90.6%	#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 294 to 228 computations (22.4% saved)

simplify290.0ms (2.7%)

Memory

20.1MiB live, 146.8MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 19 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	(/.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)
cost-diff	0	#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)))
cost-diff	320	(.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))
cost-diff	0	(/.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)
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)) z) x)
cost-diff	0	#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))
cost-diff	320	(.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)
cost-diff	0	(fma.f64 x #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))
cost-diff	0	(*.f64 (fma.f64 x #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) y)
cost-diff	0	#s(approx (* (cosh x) (/ y x)) (*.f64 (fma.f64 x #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) y))
cost-diff	0	(/.f64 #s(approx (* (cosh x) (/ y x)) (*.f64 (fma.f64 x #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) y)) z)
cost-diff	0	(/.f64 y x)
cost-diff	0	#s(approx (* (cosh x) (/ y x)) (/.f64 y x))
cost-diff	0	(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 y x)) z)
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	36	319
0	62	319
1	112	319
2	207	319
3	437	319
4	889	319
5	2248	315
6	5510	315
7	6305	315
8	6359	315
9	6438	315
10	6469	315
11	6901	315
0	8131	311

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

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

localize181.0ms (1.7%)

Memory

-24.3MiB live, 118.8MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score
accuracy	0.3239682560008655	(fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64))
accuracy	2.094845237169339	(/.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)
accuracy	6.708544176760575	#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)))
accuracy	11.322024234448948	(.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))
accuracy	1.8851856693657298	(/.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)
accuracy	3.3184056968068414	(/.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)
accuracy	3.3988946630353425	(.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)
accuracy	12.012979087715552	#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))
accuracy	0.00390625	(fma.f64 x #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))
accuracy	0.12109375	(*.f64 (fma.f64 x #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) y)
accuracy	4.09649889910477	(/.f64 #s(approx (* (cosh x) (/ y x)) (*.f64 (fma.f64 x #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) y)) z)
accuracy	23.417354335439754	#s(approx (* (cosh x) (/ y x)) (*.f64 (fma.f64 x #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) y))
accuracy	0	(/.f64 y x)
accuracy	4.09649889910477	(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 y x)) z)
accuracy	33.183721623276135	#s(approx (* (cosh x) (/ y x)) (/.f64 y x))
accuracy	0	(cosh.f64 x)
accuracy	0.0078125	(/.f64 (*.f64 y (cosh.f64 x)) z)
accuracy	0.0078125	(*.f64 y (cosh.f64 x))
accuracy	3.168318004731039	(/.f64 (/.f64 (*.f64 y (cosh.f64 x)) z) x)

Samples

158.0ms

256×

valid

Compiler

Compiled 277 to 36 computations (87% saved)

Precisions

Click to see histograms. Total time spent on operations: 121.0ms

ival-mult: 39.0ms (32.3% of total)

const: 36.0ms (29.8% of total)

ival-add: 30.0ms (24.9% of total)

ival-div: 12.0ms (9.9% of total)

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

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

exact: 0.0ms (0% of total)

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

series132.0ms (1.2%)

Memory

-13.7MiB live, 60.2MiB allocated

Counts

20 → 528

Calls

Call 1

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

Outputs
#s(alt (* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) (taylor 0 z) (#s(alt (/.f64 (/.f64 (.f64 y (cosh.f64 x)) z) x) (patch (/.f64 (/.f64 (.f64 y (cosh.f64 x)) z) x) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) (taylor 0 z) (#s(alt (/.f64 (/.f64 (.f64 y (cosh.f64 x)) z) x) (patch (/.f64 (/.f64 (.f64 y (cosh.f64 x)) z) x) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) (taylor 0 z) (#s(alt (/.f64 (/.f64 (.f64 y (cosh.f64 x)) z) x) (patch (/.f64 (/.f64 (.f64 y (cosh.f64 x)) z) x) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) (taylor 0 z) (#s(alt (/.f64 (/.f64 (.f64 y (cosh.f64 x)) z) x) (patch (/.f64 (/.f64 (.f64 y (cosh.f64 x)) z) x) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) z)) (taylor 0 z) (#s(alt (/.f64 (.f64 y (cosh.f64 x)) z) (patch (/.f64 (.f64 y (cosh.f64 x)) z) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) z)) (taylor 0 z) (#s(alt (/.f64 (.f64 y (cosh.f64 x)) z) (patch (/.f64 (.f64 y (cosh.f64 x)) z) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) z)) (taylor 0 z) (#s(alt (/.f64 (.f64 y (cosh.f64 x)) z) (patch (/.f64 (.f64 y (cosh.f64 x)) z) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) z)) (taylor 0 z) (#s(alt (/.f64 (.f64 y (cosh.f64 x)) z) (patch (/.f64 (.f64 y (cosh.f64 x)) z) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) (taylor 0 z) (#s(alt (/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 y x)) z) (patch (/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 y x)) z) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) (taylor 0 z) (#s(alt (/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 y x)) z) (patch (/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 y x)) z) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) (taylor 0 z) (#s(alt (/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 y x)) z) (patch (/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 y x)) z) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) (taylor 0 z) (#s(alt (/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 y x)) z) (patch (/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 y x)) z) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) (taylor 0 z) (#s(alt (/.f64 #s(approx (* (cosh x) (/ y x)) (.f64 (fma.f64 x #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) y)) z) (patch (/.f64 #s(approx ( (cosh x) (/ y x)) (*.f64 (fma.f64 x #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) y)) z) #<representation binary64>) () ())) ())
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#s(alt (* (pow x 6) (+ 1/720 (* 1/24 (/ 1 (pow x 2))))) (taylor -inf x) (#s(alt (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)) (patch (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)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 6) (+ 1/720 (+ (/ 1/2 (pow x 4)) (* 1/24 (/ 1 (pow x 2)))))) (taylor -inf x) (#s(alt (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)) (patch (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)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 6) (+ 1/720 (+ (/ 1/2 (pow x 4)) (+ (* 1/24 (/ 1 (pow x 2))) (/ 1 (pow x 6)))))) (taylor -inf x) (#s(alt (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)) (patch (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)) #<representation binary64>) () ())) ())
#s(alt (* 1/720 (pow x 2)) (taylor -inf x) (#s(alt (fma.f64 #s(literal 1/720 binary64) (.f64 x x) #s(literal 1/24 binary64)) (patch (fma.f64 #s(literal 1/720 binary64) (.f64 x x) #s(literal 1/24 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1/720 (* 1/24 (/ 1 (pow x 2))))) (taylor -inf x) (#s(alt (fma.f64 #s(literal 1/720 binary64) (.f64 x x) #s(literal 1/24 binary64)) (patch (fma.f64 #s(literal 1/720 binary64) (.f64 x x) #s(literal 1/24 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1/720 (* 1/24 (/ 1 (pow x 2))))) (taylor -inf x) (#s(alt (fma.f64 #s(literal 1/720 binary64) (.f64 x x) #s(literal 1/24 binary64)) (patch (fma.f64 #s(literal 1/720 binary64) (.f64 x x) #s(literal 1/24 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1/720 (* 1/24 (/ 1 (pow x 2))))) (taylor -inf x) (#s(alt (fma.f64 #s(literal 1/720 binary64) (.f64 x x) #s(literal 1/24 binary64)) (patch (fma.f64 #s(literal 1/720 binary64) (.f64 x x) #s(literal 1/24 binary64)) #<representation binary64>) () ())) ())

Calls

9 calls:

Time	Variable		Point	Expression
51.0ms	z	@	inf	((/ (/ (* y (cosh x)) z) x) (/ (* y (cosh x)) z) (* y (cosh x)) (cosh x) (/ (* (cosh x) (/ y x)) z) (* (cosh x) (/ y x)) (/ y x) (/ (* (cosh x) (/ y x)) z) (* (cosh x) (/ y x)) (* (+ (* x 1/2) (/ 1 x)) y) (+ (* x 1/2) (/ 1 x)) (* (/ (/ (+ (* (+ (* 1/24 (* x x)) 1/2) (* x x)) 1) z) x) y) (/ (* (cosh x) (/ y x)) z) (/ (/ (+ (* (+ (* 1/24 (* x x)) 1/2) (* x x)) 1) z) x) (/ (+ (* (+ (* 1/24 (* x x)) 1/2) (* x x)) 1) z) (* (/ (+ (* (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (* x x)) 1) z) (/ y x)) (/ (* (cosh x) (/ y x)) z) (/ (+ (* (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (* x x)) 1) z) (+ (* (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (* x x)) 1) (+ (* 1/720 (* x x)) 1/24))
9.0ms	z	@	0	((/ (/ (* y (cosh x)) z) x) (/ (* y (cosh x)) z) (* y (cosh x)) (cosh x) (/ (* (cosh x) (/ y x)) z) (* (cosh x) (/ y x)) (/ y x) (/ (* (cosh x) (/ y x)) z) (* (cosh x) (/ y x)) (* (+ (* x 1/2) (/ 1 x)) y) (+ (* x 1/2) (/ 1 x)) (* (/ (/ (+ (* (+ (* 1/24 (* x x)) 1/2) (* x x)) 1) z) x) y) (/ (* (cosh x) (/ y x)) z) (/ (/ (+ (* (+ (* 1/24 (* x x)) 1/2) (* x x)) 1) z) x) (/ (+ (* (+ (* 1/24 (* x x)) 1/2) (* x x)) 1) z) (* (/ (+ (* (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (* x x)) 1) z) (/ y x)) (/ (* (cosh x) (/ y x)) z) (/ (+ (* (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (* x x)) 1) z) (+ (* (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (* x x)) 1) (+ (* 1/720 (* x x)) 1/24))
5.0ms	y	@	-inf	((/ (/ (* y (cosh x)) z) x) (/ (* y (cosh x)) z) (* y (cosh x)) (cosh x) (/ (* (cosh x) (/ y x)) z) (* (cosh x) (/ y x)) (/ y x) (/ (* (cosh x) (/ y x)) z) (* (cosh x) (/ y x)) (* (+ (* x 1/2) (/ 1 x)) y) (+ (* x 1/2) (/ 1 x)) (* (/ (/ (+ (* (+ (* 1/24 (* x x)) 1/2) (* x x)) 1) z) x) y) (/ (* (cosh x) (/ y x)) z) (/ (/ (+ (* (+ (* 1/24 (* x x)) 1/2) (* x x)) 1) z) x) (/ (+ (* (+ (* 1/24 (* x x)) 1/2) (* x x)) 1) z) (* (/ (+ (* (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (* x x)) 1) z) (/ y x)) (/ (* (cosh x) (/ y x)) z) (/ (+ (* (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (* x x)) 1) z) (+ (* (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (* x x)) 1) (+ (* 1/720 (* x x)) 1/24))
5.0ms	z	@	-inf	((/ (/ (* y (cosh x)) z) x) (/ (* y (cosh x)) z) (* y (cosh x)) (cosh x) (/ (* (cosh x) (/ y x)) z) (* (cosh x) (/ y x)) (/ y x) (/ (* (cosh x) (/ y x)) z) (* (cosh x) (/ y x)) (* (+ (* x 1/2) (/ 1 x)) y) (+ (* x 1/2) (/ 1 x)) (* (/ (/ (+ (* (+ (* 1/24 (* x x)) 1/2) (* x x)) 1) z) x) y) (/ (* (cosh x) (/ y x)) z) (/ (/ (+ (* (+ (* 1/24 (* x x)) 1/2) (* x x)) 1) z) x) (/ (+ (* (+ (* 1/24 (* x x)) 1/2) (* x x)) 1) z) (* (/ (+ (* (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (* x x)) 1) z) (/ y x)) (/ (* (cosh x) (/ y x)) z) (/ (+ (* (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (* x x)) 1) z) (+ (* (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (* x x)) 1) (+ (* 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) (* (cosh x) (/ y x)) (/ y x) (/ (* (cosh x) (/ y x)) z) (* (cosh x) (/ y x)) (* (+ (* x 1/2) (/ 1 x)) y) (+ (* x 1/2) (/ 1 x)) (* (/ (/ (+ (* (+ (* 1/24 (* x x)) 1/2) (* x x)) 1) z) x) y) (/ (* (cosh x) (/ y x)) z) (/ (/ (+ (* (+ (* 1/24 (* x x)) 1/2) (* x x)) 1) z) x) (/ (+ (* (+ (* 1/24 (* x x)) 1/2) (* x x)) 1) z) (* (/ (+ (* (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (* x x)) 1) z) (/ y x)) (/ (* (cosh x) (/ y x)) z) (/ (+ (* (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (* x x)) 1) z) (+ (* (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (* x x)) 1) (+ (* 1/720 (* x x)) 1/24))

simplify319.0ms (3%)

Memory

-1.6MiB live, 278.9MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	233	7442
1	768	7430
2	2493	7250
3	5995	7218
0	8345	6868

Stop Event

1×	iter limit
1×	node limit

Counts

528 → 527

Calls

Call 1

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

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

rewrite198.0ms (1.9%)

Memory

29.2MiB live, 216.4MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	36	255
0	62	255
1	243	255
2	1754	255
0	8355	255

Stop Event

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

Counts

20 → 760

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

Outputs
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eval296.0ms (2.8%)

Memory: -14.1MiB live, 301.8MiB allocated
Compiler: Compiled 28 497 to 3 150 computations (88.9% saved)

prune78.0ms (0.7%)

Memory

20.1MiB live, 143.5MiB allocated

Pruning

24 alts after pruning (23 fresh and 1 done)

	Pruned	Kept	Total
New	1 316	18	1 334
Fresh	1	5	6
Picked	4	1	5
Done	0	0	0
Total	1 321	24	1 345

Accuracy

100.0%

Counts

1 345 → 24

Alt Table

Click to see full alt table

Status	Accuracy	Program
	77.7%	(/.f64 (/.f64 (.f64 y #s(approx (cosh x) (fma.f64 (.f64 x #s(literal 1/2 binary64)) x #s(literal 1 binary64)))) z) x)
	84.8%	(/.f64 (.f64 (cosh.f64 x) y) (.f64 z x))
	66.7%	(/.f64 (.f64 #s(approx (cosh x) (fma.f64 (.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) (/.f64 y x)) z)
	50.6%	(/.f64 #s(approx (/ (* y (cosh x)) z) (/.f64 y z)) x)
	72.7%	(/.f64 #s(approx (/ (* y (cosh x)) z) (.f64 (fma.f64 (.f64 x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) (/.f64 y z))) x)
▶	74.8%	(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (.f64 (fma.f64 (.f64 x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) y) x)) z)
✓	44.7%	(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 y x)) z)
	89.6%	(/.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)
	85.1%	(/.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)
▶	27.8%	(/.f64 #s(approx (* (cosh x) (/ y x)) #s(approx (* (+ (* x 1/2) (/ 1 x)) y) (.f64 (.f64 x y) #s(literal 1/2 binary64)))) z)
	84.6%	(.f64 y (/.f64 (cosh.f64 x) (.f64 z x)))
	81.0%	#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)) y) (*.f64 z x)))
▶	77.9%	#s(approx (/ (* (cosh x) (/ y 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) (.f64 z x)))
	91.1%	#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (.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) y) x))
	87.3%	#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (.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))
	90.5%	#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 y (.f64 (/.f64 z (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)))
	80.9%	#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 #s(literal 1 binary64) (/.f64 (.f64 (neg.f64 z) x) (.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))) y))))
	72.2%	#s(approx (/ (* (cosh x) (/ y x)) z) (.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) (*.f64 (/.f64 x y) z))))
	59.4%	#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (fma.f64 x #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) (/.f64 y z)))
▶	80.3%	#s(approx (/ (* (cosh x) (/ y x)) z) (.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)) z) (/.f64 y x)))
	76.2%	#s(approx (/ (* (cosh x) (/ y 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)) (.f64 z x)) y))
	50.2%	#s(approx (/ (* (cosh x) (/ y x)) z) (.f64 (/.f64 #s(approx (/ (+ ( (+ (* 1/24 (* x x)) 1/2) (* x x)) 1) z) (/.f64 #s(literal 1 binary64) z)) x) y))
	67.7%	#s(approx (/ (* (cosh x) (/ y x)) z) (.f64 (/.f64 #s(approx (+ ( (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (* x x)) 1) (fma.f64 (*.f64 x #s(literal 1/2 binary64)) x #s(literal 1 binary64))) z) (/.f64 y x)))
▶	95.2%	#s(approx (/ (* (cosh x) (/ y x)) z) (.f64 y (/.f64 #s(literal 1 binary64) (.f64 (/.f64 z (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))))

Compiler

Compiled 758 to 566 computations (25.3% saved)

simplify194.0ms (1.8%)

Memory

14.4MiB live, 165.7MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(fma.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/720 binary64) x) x #s(literal 1/24 binary64)) (.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))
cost-diff	0	(/.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)) z)
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)) z) (/.f64 y x))
cost-diff	0	#s(approx (/ (* (cosh x) (/ y x)) z) (.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)) z) (/.f64 y x)))
cost-diff	0	(fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64))
cost-diff	0	(fma.f64 (fma.f64 (.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (.f64 x x) #s(literal 1 binary64))
cost-diff	0	(.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)
cost-diff	0	#s(approx (/ (* (cosh x) (/ y 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) (.f64 z x)))
cost-diff	0	(.f64 (fma.f64 (.f64 x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) y)
cost-diff	0	#s(approx (* (cosh x) (/ y x)) (/.f64 (.f64 (fma.f64 (.f64 x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) y) x))
cost-diff	0	(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (.f64 (fma.f64 (.f64 x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) y) x)) z)
cost-diff	320	(/.f64 (.f64 (fma.f64 (.f64 x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) y) x)
cost-diff	0	(.f64 (.f64 x y) #s(literal 1/2 binary64))
cost-diff	0	#s(approx (* (+ (* x 1/2) (/ 1 x)) y) (.f64 (.f64 x y) #s(literal 1/2 binary64)))
cost-diff	0	#s(approx (* (cosh x) (/ y x)) #s(approx (* (+ (* x 1/2) (/ 1 x)) y) (.f64 (.f64 x y) #s(literal 1/2 binary64))))
cost-diff	0	(/.f64 #s(approx (* (cosh x) (/ y x)) #s(approx (* (+ (* x 1/2) (/ 1 x)) y) (.f64 (.f64 x y) #s(literal 1/2 binary64)))) z)
cost-diff	0	(.f64 (/.f64 z (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 y (/.f64 #s(literal 1 binary64) (.f64 (/.f64 z (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	#s(approx (/ (* (cosh x) (/ y x)) z) (.f64 y (/.f64 #s(literal 1 binary64) (.f64 (/.f64 z (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	320	(/.f64 #s(literal 1 binary64) (.f64 (/.f64 z (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))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	49	506
0	86	510
1	162	502
2	300	502
3	702	500
4	1990	500
5	3274	497
6	3630	497
7	3792	497
8	3959	497
9	4216	497
10	7286	497
0	8161	491

Stop Event

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

Calls

Call 1

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

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

localize189.0ms (1.8%)

Memory

-31.5MiB live, 254.6MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.265625	(*.f64 #s(literal 1/720 binary64) x)
accuracy	2.094845237169339	(/.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)) z)
accuracy	6.708544176760575	#s(approx (/ (* (cosh x) (/ y x)) z) (.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)) z) (/.f64 y x)))
accuracy	11.322024234448948	(.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)) z) (/.f64 y x))
accuracy	0.3494230319033334	(fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64))
accuracy	2.1544954098665716	(.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)
accuracy	11.137441908714047	(/.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) (.f64 z x))
accuracy	12.012979087715552	#s(approx (/ (* (cosh x) (/ y 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) (.f64 z x)))
accuracy	3.8073285957054206	(.f64 (fma.f64 (.f64 x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) y)
accuracy	4.09649889910477	(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (.f64 (fma.f64 (.f64 x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) y) x)) z)
accuracy	5.821693496915881	(/.f64 (.f64 (fma.f64 (.f64 x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) y) x)
accuracy	23.417354335439754	#s(approx (* (cosh x) (/ y x)) (/.f64 (.f64 (fma.f64 (.f64 x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) y) x))
accuracy	0.20192220290659743	(.f64 (.f64 x y) #s(literal 1/2 binary64))
accuracy	4.09649889910477	(/.f64 #s(approx (* (cosh x) (/ y x)) #s(approx (* (+ (* x 1/2) (/ 1 x)) y) (.f64 (.f64 x y) #s(literal 1/2 binary64)))) z)
accuracy	23.417354335439754	#s(approx (* (cosh x) (/ y x)) #s(approx (* (+ (* x 1/2) (/ 1 x)) y) (.f64 (.f64 x y) #s(literal 1/2 binary64))))
accuracy	29.718351802045248	#s(approx (* (+ (* x 1/2) (/ 1 x)) y) (.f64 (.f64 x y) #s(literal 1/2 binary64)))
accuracy	1.5602638589330637	(.f64 (/.f64 z (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	2.1006928578358126	(/.f64 z (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	2.6416047158069693	(.f64 y (/.f64 #s(literal 1 binary64) (.f64 (/.f64 z (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	6.708544176760575	#s(approx (/ (* (cosh x) (/ y x)) z) (.f64 y (/.f64 #s(literal 1 binary64) (.f64 (/.f64 z (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))))

Samples

136.0ms

256×

valid

Compiler

Compiled 422 to 50 computations (88.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 110.0ms

const: 47.0ms (42.9% of total)

ival-mult: 35.0ms (32% of total)

ival-div: 13.0ms (11.9% of total)

ival-add: 11.0ms (10% of total)

ival-cosh: 3.0ms (2.7% of total)

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

exact: 0.0ms (0% of total)

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

series83.0ms (0.8%)

Memory

9.9MiB live, 168.4MiB allocated

Counts

23 → 600

Calls

Call 1

Inputs
#s(alt (/.f64 #s(literal 1 binary64) (.f64 (/.f64 z (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)) (patch (/.f64 #s(literal 1 binary64) (.f64 (/.f64 z (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)) #<representation binary64>) () ())
#s(alt #s(approx (/ (* (cosh x) (/ y x)) z) (.f64 y (/.f64 #s(literal 1 binary64) (.f64 (/.f64 z (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)))) (patch #s(approx (/ ( (cosh x) (/ y x)) z) (.f64 y (/.f64 #s(literal 1 binary64) (.f64 (/.f64 z (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)))) #<representation binary64>) () ())
#s(alt (.f64 y (/.f64 #s(literal 1 binary64) (.f64 (/.f64 z (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))) (patch (.f64 y (/.f64 #s(literal 1 binary64) (.f64 (/.f64 z (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))) #<representation binary64>) () ())
#s(alt (.f64 (/.f64 z (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) (patch (.f64 (/.f64 z (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) #<representation binary64>) () ())
#s(alt (/.f64 #s(approx (* (cosh x) (/ y x)) #s(approx (* (+ (* x 1/2) (/ 1 x)) y) (.f64 (.f64 x y) #s(literal 1/2 binary64)))) z) (patch (/.f64 #s(approx (* (cosh x) (/ y x)) #s(approx (* (+ (* x 1/2) (/ 1 x)) y) (.f64 (.f64 x y) #s(literal 1/2 binary64)))) z) #<representation binary64>) () ())
#s(alt #s(approx (* (cosh x) (/ y x)) #s(approx (* (+ (* x 1/2) (/ 1 x)) y) (.f64 (.f64 x y) #s(literal 1/2 binary64)))) (patch #s(approx (* (cosh x) (/ y x)) #s(approx (* (+ (* x 1/2) (/ 1 x)) y) (.f64 (.f64 x y) #s(literal 1/2 binary64)))) #<representation binary64>) () ())
#s(alt #s(approx (* (+ (* x 1/2) (/ 1 x)) y) (.f64 (.f64 x y) #s(literal 1/2 binary64))) (patch #s(approx (* (+ (* x 1/2) (/ 1 x)) y) (.f64 (.f64 x y) #s(literal 1/2 binary64))) #<representation binary64>) () ())
#s(alt (.f64 (.f64 x y) #s(literal 1/2 binary64)) (patch (.f64 (.f64 x y) #s(literal 1/2 binary64)) #<representation binary64>) () ())
#s(alt (/.f64 (.f64 (fma.f64 (.f64 x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) y) x) (patch (/.f64 (.f64 (fma.f64 (.f64 x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) y) x) #<representation binary64>) () ())
#s(alt (/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (.f64 (fma.f64 (.f64 x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) y) x)) z) (patch (/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (.f64 (fma.f64 (.f64 x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) y) x)) z) #<representation binary64>) () ())
#s(alt #s(approx (* (cosh x) (/ y x)) (/.f64 (.f64 (fma.f64 (.f64 x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) y) x)) (patch #s(approx (* (cosh x) (/ y x)) (/.f64 (.f64 (fma.f64 (.f64 x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) y) x)) #<representation binary64>) () ())
#s(alt (.f64 (fma.f64 (.f64 x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) y) (patch (.f64 (fma.f64 (.f64 x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) y) #<representation binary64>) () ())
#s(alt #s(approx (/ (* (cosh x) (/ y 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) (.f64 z x))) (patch #s(approx (/ (* (cosh x) (/ y 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) (.f64 z x))) #<representation binary64>) () ())
#s(alt (.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) (patch (.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) #<representation binary64>) () ())
#s(alt (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (.f64 x x) #s(literal 1 binary64)) (patch (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (.f64 x x) #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt (fma.f64 (.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (patch (fma.f64 (.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) #<representation binary64>) () ())
#s(alt #s(approx (/ (* (cosh x) (/ y x)) z) (.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)) z) (/.f64 y x))) (patch #s(approx (/ (* (cosh x) (/ y x)) z) (.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)) z) (/.f64 y x))) #<representation binary64>) () ())
#s(alt (.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)) z) (/.f64 y x)) (patch (.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)) z) (/.f64 y x)) #<representation binary64>) () ())
#s(alt (/.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)) z) (patch (/.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)) z) #<representation binary64>) () ())
#s(alt (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)) (patch (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)) #<representation binary64>) () ())
#s(alt (/.f64 z (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))) (patch (/.f64 z (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))) #<representation binary64>) () ())
#s(alt (/.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) (.f64 z x)) (patch (/.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) (.f64 z x)) #<representation binary64>) () ())
#s(alt (.f64 #s(literal 1/720 binary64) x) (patch (.f64 #s(literal 1/720 binary64) x) #<representation binary64>) () ())

Outputs
#s(alt (/ (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2))))))) (* x z)) (taylor 0 z) (#s(alt (/.f64 #s(literal 1 binary64) (.f64 (/.f64 z (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)) (patch (/.f64 #s(literal 1 binary64) (.f64 (/.f64 z (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)) #<representation binary64>) () ())) ())
#s(alt (/ (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2))))))) (* x z)) (taylor 0 z) (#s(alt (/.f64 #s(literal 1 binary64) (.f64 (/.f64 z (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)) (patch (/.f64 #s(literal 1 binary64) (.f64 (/.f64 z (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)) #<representation binary64>) () ())) ())
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#s(alt (* (pow x 4) (+ (* 1/24 y) (+ (* 1/2 (/ y (pow x 2))) (/ y (pow x 4))))) (taylor -inf x) (#s(alt (.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) (patch (.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) #<representation binary64>) () ())) ())
#s(alt (* 1/24 (pow x 4)) (taylor -inf x) (#s(alt (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (.f64 x x) #s(literal 1 binary64)) (patch (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (.f64 x x) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 4) (+ 1/24 (* 1/2 (/ 1 (pow x 2))))) (taylor -inf x) (#s(alt (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (.f64 x x) #s(literal 1 binary64)) (patch (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (.f64 x x) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 4) (+ 1/24 (+ (* 1/2 (/ 1 (pow x 2))) (/ 1 (pow x 4))))) (taylor -inf x) (#s(alt (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (.f64 x x) #s(literal 1 binary64)) (patch (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (.f64 x x) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 4) (+ 1/24 (+ (* 1/2 (/ 1 (pow x 2))) (/ 1 (pow x 4))))) (taylor -inf x) (#s(alt (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (.f64 x x) #s(literal 1 binary64)) (patch (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (.f64 x x) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/24 (pow x 2)) (taylor -inf x) (#s(alt (fma.f64 (.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (patch (fma.f64 (.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1/24 (* 1/2 (/ 1 (pow x 2))))) (taylor -inf x) (#s(alt (fma.f64 (.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (patch (fma.f64 (.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1/24 (* 1/2 (/ 1 (pow x 2))))) (taylor -inf x) (#s(alt (fma.f64 (.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (patch (fma.f64 (.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1/24 (* 1/2 (/ 1 (pow x 2))))) (taylor -inf x) (#s(alt (fma.f64 (.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (patch (fma.f64 (.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) (taylor -inf x) (#s(alt #s(approx (/ (* (cosh x) (/ y x)) z) (.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)) z) (/.f64 y x))) (patch #s(approx (/ (* (cosh x) (/ y x)) z) (.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)) z) (/.f64 y x))) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) (taylor -inf x) (#s(alt #s(approx (/ (* (cosh x) (/ y x)) z) (.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)) z) (/.f64 y x))) (patch #s(approx (/ (* (cosh x) (/ y x)) z) (.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)) z) (/.f64 y x))) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) (taylor -inf x) (#s(alt #s(approx (/ (* (cosh x) (/ y x)) z) (.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)) z) (/.f64 y x))) (patch #s(approx (/ (* (cosh x) (/ y x)) z) (.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)) z) (/.f64 y x))) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) (taylor -inf x) (#s(alt #s(approx (/ (* (cosh x) (/ y x)) z) (.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)) z) (/.f64 y x))) (patch #s(approx (/ (* (cosh x) (/ y x)) z) (.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)) z) (/.f64 y x))) #<representation binary64>) () ())) ())
#s(alt (* 1/720 (/ (* (pow x 5) y) z)) (taylor -inf x) (#s(alt (.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)) z) (/.f64 y x)) (patch (.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)) z) (/.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow x 5) (+ (* -1/24 (/ y (* (pow x 2) z))) (* -1/720 (/ y z))))) (taylor -inf x) (#s(alt (.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)) z) (/.f64 y x)) (patch (.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)) z) (/.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow x 5) (+ (* -1/2 (/ y (* (pow x 4) z))) (+ (* -1/24 (/ y (* (pow x 2) z))) (* -1/720 (/ y z)))))) (taylor -inf x) (#s(alt (.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)) z) (/.f64 y x)) (patch (.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)) z) (/.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow x 5) (+ (* -1 (/ y (* (pow x 6) z))) (+ (* -1/2 (/ y (* (pow x 4) z))) (+ (* -1/24 (/ y (* (pow x 2) z))) (* -1/720 (/ y z))))))) (taylor -inf x) (#s(alt (.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)) z) (/.f64 y x)) (patch (.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)) z) (/.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (* 1/720 (/ (pow x 6) z)) (taylor -inf x) (#s(alt (/.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)) z) (patch (/.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)) z) #<representation binary64>) () ())) ())
#s(alt (* (pow x 6) (+ (* 1/720 (/ 1 z)) (* 1/24 (/ 1 (* (pow x 2) z))))) (taylor -inf x) (#s(alt (/.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)) z) (patch (/.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)) z) #<representation binary64>) () ())) ())
#s(alt (* (pow x 6) (+ (/ 1/24 (* (pow x 2) z)) (+ (/ 1/2 (* (pow x 4) z)) (* 1/720 (/ 1 z))))) (taylor -inf x) (#s(alt (/.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)) z) (patch (/.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)) z) #<representation binary64>) () ())) ())
#s(alt (* (pow x 6) (+ (/ 1/24 (* (pow x 2) z)) (+ (* 1/720 (/ 1 z)) (+ (* 1/2 (/ 1 (* (pow x 4) z))) (/ 1 (* (pow x 6) z)))))) (taylor -inf x) (#s(alt (/.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)) z) (patch (/.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)) z) #<representation binary64>) () ())) ())
#s(alt (* 1/720 (pow x 6)) (taylor -inf x) (#s(alt (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)) (patch (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)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 6) (+ 1/720 (* 1/24 (/ 1 (pow x 2))))) (taylor -inf x) (#s(alt (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)) (patch (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)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 6) (+ 1/720 (+ (/ 1/2 (pow x 4)) (* 1/24 (/ 1 (pow x 2)))))) (taylor -inf x) (#s(alt (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)) (patch (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)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 6) (+ 1/720 (+ (/ 1/2 (pow x 4)) (+ (* 1/24 (/ 1 (pow x 2))) (/ 1 (pow x 6)))))) (taylor -inf x) (#s(alt (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)) (patch (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)) #<representation binary64>) () ())) ())
#s(alt (* 720 (/ z (pow x 6))) (taylor -inf x) (#s(alt (/.f64 z (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))) (patch (/.f64 z (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))) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* -21600 (/ z (pow x 2))) (* 720 z)) (pow x 6)) (taylor -inf x) (#s(alt (/.f64 z (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))) (patch (/.f64 z (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))) #<representation binary64>) () ())) ())
#s(alt (/ (- (+ (* -1 (/ (+ (* -648000 z) (* 259200 z)) (pow x 4))) (* 720 z)) (* 21600 (/ z (pow x 2)))) (pow x 6)) (taylor -inf x) (#s(alt (/.f64 z (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))) (patch (/.f64 z (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))) #<representation binary64>) () ())) ())
#s(alt (/ (- (+ (* -1 (/ (+ (* -7776000 z) (+ (* -30 (+ (* -648000 z) (* 259200 z))) (* 518400 z))) (pow x 6))) (* 720 z)) (+ (* -648000 (/ z (pow x 4))) (+ (* 21600 (/ z (pow x 2))) (* 259200 (/ z (pow x 4)))))) (pow x 6)) (taylor -inf x) (#s(alt (/.f64 z (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))) (patch (/.f64 z (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))) #<representation binary64>) () ())) ())
#s(alt (* 1/24 (/ (* (pow x 3) y) z)) (taylor -inf x) (#s(alt (/.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) (.f64 z x)) (patch (/.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) (.f64 z x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow x 3) (+ (* -1/2 (/ y (* (pow x 2) z))) (* -1/24 (/ y z))))) (taylor -inf x) (#s(alt (/.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) (.f64 z x)) (patch (/.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) (.f64 z x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow x 3) (+ (* -1 (/ y (* (pow x 4) z))) (+ (* -1/2 (/ y (* (pow x 2) z))) (* -1/24 (/ y z)))))) (taylor -inf x) (#s(alt (/.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) (.f64 z x)) (patch (/.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) (.f64 z x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow x 3) (+ (* -1 (/ y (* (pow x 4) z))) (+ (* -1/2 (/ y (* (pow x 2) z))) (* -1/24 (/ y z)))))) (taylor -inf x) (#s(alt (/.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) (.f64 z x)) (patch (/.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) (.f64 z x)) #<representation binary64>) () ())) ())
#s(alt (* 1/720 x) (taylor -inf x) (#s(alt (.f64 #s(literal 1/720 binary64) x) (patch (.f64 #s(literal 1/720 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* 1/720 x) (taylor -inf x) (#s(alt (.f64 #s(literal 1/720 binary64) x) (patch (.f64 #s(literal 1/720 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* 1/720 x) (taylor -inf x) (#s(alt (.f64 #s(literal 1/720 binary64) x) (patch (.f64 #s(literal 1/720 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* 1/720 x) (taylor -inf x) (#s(alt (.f64 #s(literal 1/720 binary64) x) (patch (.f64 #s(literal 1/720 binary64) x) #<representation binary64>) () ())) ())

Calls

9 calls:

Time	Variable		Point	Expression
11.0ms	y	@	0	((/ 1 (* (/ z (+ (* (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (* x x)) 1)) x)) (/ (* (cosh x) (/ y x)) z) (* y (/ 1 (* (/ z (+ (* (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (* x x)) 1)) x))) (* (/ z (+ (* (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (* x x)) 1)) x) (/ (* (cosh x) (/ y x)) z) (* (cosh x) (/ y x)) (* (+ (* x 1/2) (/ 1 x)) y) (* (* x y) 1/2) (/ (* (+ (* (* x 1/2) x) 1) y) x) (/ (* (cosh x) (/ y x)) z) (* (cosh x) (/ y x)) (* (+ (* (* x 1/2) x) 1) y) (/ (* (cosh x) (/ y x)) z) (* (+ (* (+ (* (* x x) 1/24) 1/2) (* x x)) 1) y) (+ (* (+ (* (* x x) 1/24) 1/2) (* x x)) 1) (+ (* (* x x) 1/24) 1/2) (/ (* (cosh x) (/ y x)) z) (* (/ (+ (* (+ (* (+ (* (* 1/720 x) x) 1/24) (* x x)) 1/2) (* x x)) 1) z) (/ y x)) (/ (+ (* (+ (* (+ (* (* 1/720 x) x) 1/24) (* x x)) 1/2) (* x x)) 1) z) (+ (* (+ (* (+ (* (* 1/720 x) x) 1/24) (* x x)) 1/2) (* x x)) 1) (/ z (+ (* (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (* x x)) 1)) (/ (* (+ (* (+ (* (* x x) 1/24) 1/2) (* x x)) 1) y) (* z x)) (* 1/720 x))
7.0ms	y	@	-inf	((/ 1 (* (/ z (+ (* (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (* x x)) 1)) x)) (/ (* (cosh x) (/ y x)) z) (* y (/ 1 (* (/ z (+ (* (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (* x x)) 1)) x))) (* (/ z (+ (* (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (* x x)) 1)) x) (/ (* (cosh x) (/ y x)) z) (* (cosh x) (/ y x)) (* (+ (* x 1/2) (/ 1 x)) y) (* (* x y) 1/2) (/ (* (+ (* (* x 1/2) x) 1) y) x) (/ (* (cosh x) (/ y x)) z) (* (cosh x) (/ y x)) (* (+ (* (* x 1/2) x) 1) y) (/ (* (cosh x) (/ y x)) z) (* (+ (* (+ (* (* x x) 1/24) 1/2) (* x x)) 1) y) (+ (* (+ (* (* x x) 1/24) 1/2) (* x x)) 1) (+ (* (* x x) 1/24) 1/2) (/ (* (cosh x) (/ y x)) z) (* (/ (+ (* (+ (* (+ (* (* 1/720 x) x) 1/24) (* x x)) 1/2) (* x x)) 1) z) (/ y x)) (/ (+ (* (+ (* (+ (* (* 1/720 x) x) 1/24) (* x x)) 1/2) (* x x)) 1) z) (+ (* (+ (* (+ (* (* 1/720 x) x) 1/24) (* x x)) 1/2) (* x x)) 1) (/ z (+ (* (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (* x x)) 1)) (/ (* (+ (* (+ (* (* x x) 1/24) 1/2) (* x x)) 1) y) (* z x)) (* 1/720 x))
5.0ms	z	@	-inf	((/ 1 (* (/ z (+ (* (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (* x x)) 1)) x)) (/ (* (cosh x) (/ y x)) z) (* y (/ 1 (* (/ z (+ (* (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (* x x)) 1)) x))) (* (/ z (+ (* (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (* x x)) 1)) x) (/ (* (cosh x) (/ y x)) z) (* (cosh x) (/ y x)) (* (+ (* x 1/2) (/ 1 x)) y) (* (* x y) 1/2) (/ (* (+ (* (* x 1/2) x) 1) y) x) (/ (* (cosh x) (/ y x)) z) (* (cosh x) (/ y x)) (* (+ (* (* x 1/2) x) 1) y) (/ (* (cosh x) (/ y x)) z) (* (+ (* (+ (* (* x x) 1/24) 1/2) (* x x)) 1) y) (+ (* (+ (* (* x x) 1/24) 1/2) (* x x)) 1) (+ (* (* x x) 1/24) 1/2) (/ (* (cosh x) (/ y x)) z) (* (/ (+ (* (+ (* (+ (* (* 1/720 x) x) 1/24) (* x x)) 1/2) (* x x)) 1) z) (/ y x)) (/ (+ (* (+ (* (+ (* (* 1/720 x) x) 1/24) (* x x)) 1/2) (* x x)) 1) z) (+ (* (+ (* (+ (* (* 1/720 x) x) 1/24) (* x x)) 1/2) (* x x)) 1) (/ z (+ (* (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (* x x)) 1)) (/ (* (+ (* (+ (* (* x x) 1/24) 1/2) (* x x)) 1) y) (* z x)) (* 1/720 x))
5.0ms	z	@	0	((/ 1 (* (/ z (+ (* (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (* x x)) 1)) x)) (/ (* (cosh x) (/ y x)) z) (* y (/ 1 (* (/ z (+ (* (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (* x x)) 1)) x))) (* (/ z (+ (* (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (* x x)) 1)) x) (/ (* (cosh x) (/ y x)) z) (* (cosh x) (/ y x)) (* (+ (* x 1/2) (/ 1 x)) y) (* (* x y) 1/2) (/ (* (+ (* (* x 1/2) x) 1) y) x) (/ (* (cosh x) (/ y x)) z) (* (cosh x) (/ y x)) (* (+ (* (* x 1/2) x) 1) y) (/ (* (cosh x) (/ y x)) z) (* (+ (* (+ (* (* x x) 1/24) 1/2) (* x x)) 1) y) (+ (* (+ (* (* x x) 1/24) 1/2) (* x x)) 1) (+ (* (* x x) 1/24) 1/2) (/ (* (cosh x) (/ y x)) z) (* (/ (+ (* (+ (* (+ (* (* 1/720 x) x) 1/24) (* x x)) 1/2) (* x x)) 1) z) (/ y x)) (/ (+ (* (+ (* (+ (* (* 1/720 x) x) 1/24) (* x x)) 1/2) (* x x)) 1) z) (+ (* (+ (* (+ (* (* 1/720 x) x) 1/24) (* x x)) 1/2) (* x x)) 1) (/ z (+ (* (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (* x x)) 1)) (/ (* (+ (* (+ (* (* x x) 1/24) 1/2) (* x x)) 1) y) (* z x)) (* 1/720 x))
5.0ms	x	@	-inf	((/ 1 (* (/ z (+ (* (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (* x x)) 1)) x)) (/ (* (cosh x) (/ y x)) z) (* y (/ 1 (* (/ z (+ (* (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (* x x)) 1)) x))) (* (/ z (+ (* (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (* x x)) 1)) x) (/ (* (cosh x) (/ y x)) z) (* (cosh x) (/ y x)) (* (+ (* x 1/2) (/ 1 x)) y) (* (* x y) 1/2) (/ (* (+ (* (* x 1/2) x) 1) y) x) (/ (* (cosh x) (/ y x)) z) (* (cosh x) (/ y x)) (* (+ (* (* x 1/2) x) 1) y) (/ (* (cosh x) (/ y x)) z) (* (+ (* (+ (* (* x x) 1/24) 1/2) (* x x)) 1) y) (+ (* (+ (* (* x x) 1/24) 1/2) (* x x)) 1) (+ (* (* x x) 1/24) 1/2) (/ (* (cosh x) (/ y x)) z) (* (/ (+ (* (+ (* (+ (* (* 1/720 x) x) 1/24) (* x x)) 1/2) (* x x)) 1) z) (/ y x)) (/ (+ (* (+ (* (+ (* (* 1/720 x) x) 1/24) (* x x)) 1/2) (* x x)) 1) z) (+ (* (+ (* (+ (* (* 1/720 x) x) 1/24) (* x x)) 1/2) (* x x)) 1) (/ z (+ (* (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (* x x)) 1)) (/ (* (+ (* (+ (* (* x x) 1/24) 1/2) (* x x)) 1) y) (* z x)) (* 1/720 x))

simplify249.0ms (2.3%)

Memory

22.3MiB live, 333.9MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	342	9249
1	1099	9219
2	3519	8919
0	8294	8345

Stop Event

1×	iter limit
1×	node limit

Counts

600 → 597

Calls

Call 1

Inputs
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(/ (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2))))))) (* x z))
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(/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))) (* x z))
(/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))) (* x z))
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(* -1 (* (pow x 5) (- (* -1 (/ (+ (* 1/24 (/ 1 z)) (* 1/2 (/ 1 (* (pow x 2) z)))) (pow x 2))) (* 1/720 (/ 1 z)))))
(* -1 (* (pow x 5) (- (* -1 (/ (+ (* 1/2 (/ 1 z)) (/ 1 (* (pow x 2) z))) (pow x 4))) (+ (/ 1/24 (* (pow x 2) z)) (* 1/720 (/ 1 z))))))
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z)))
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z)))
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z)))
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z)))
(* 1/720 (/ (* (pow x 5) y) z))
(* -1 (* (pow x 5) (+ (* -1/24 (/ y (* (pow x 2) z))) (* -1/720 (/ y z)))))
(* -1 (* (pow x 5) (+ (* -1/2 (/ y (* (pow x 4) z))) (+ (* -1/24 (/ y (* (pow x 2) z))) (* -1/720 (/ y z))))))
(* -1 (* (pow x 5) (+ (* -1 (/ y (* (pow x 6) z))) (+ (* -1/2 (/ y (* (pow x 4) z))) (+ (* -1/24 (/ y (* (pow x 2) z))) (* -1/720 (/ y z)))))))
(* 720 (/ z (pow x 5)))
(* -1 (/ (+ (* -720 z) (* 21600 (/ z (pow x 2)))) (pow x 5)))
(* -1 (/ (+ (* -648000 (/ z (pow x 4))) (+ (* -720 z) (+ (* 21600 (/ z (pow x 2))) (* 259200 (/ z (pow x 4)))))) (pow x 5)))
(* -1 (/ (+ (* -7776000 (/ z (pow x 6))) (+ (* -648000 (/ z (pow x 4))) (+ (* -720 z) (+ (* -30 (/ (+ (* -648000 z) (* 259200 z)) (pow x 6))) (+ (* 21600 (/ z (pow x 2))) (+ (* 259200 (/ z (pow x 4))) (* 518400 (/ z (pow x 6))))))))) (pow x 5)))
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z)))
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z)))
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z)))
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z)))
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) x))
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) x))
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) x))
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) x))
(* 1/2 (* x y))
(* -1 (* x (+ (* -1 (/ y (pow x 2))) (* -1/2 y))))
(* -1 (* x (+ (* -1 (/ y (pow x 2))) (* -1/2 y))))
(* -1 (* x (+ (* -1 (/ y (pow x 2))) (* -1/2 y))))
(* 1/2 (* x y))
(* 1/2 (* x y))
(* 1/2 (* x y))
(* 1/2 (* x y))
(* 1/2 (* x y))
(* -1 (* x (+ (* -1 (/ y (pow x 2))) (* -1/2 y))))
(* -1 (* x (+ (* -1 (/ y (pow x 2))) (* -1/2 y))))
(* -1 (* x (+ (* -1 (/ y (pow x 2))) (* -1/2 y))))
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z)))
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z)))
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z)))
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z)))
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) x))
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) x))
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) x))
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) x))
(* 1/2 (* (pow x 2) y))
(* (pow x 2) (+ (* 1/2 y) (/ y (pow x 2))))
(* (pow x 2) (+ (* 1/2 y) (/ y (pow x 2))))
(* (pow x 2) (+ (* 1/2 y) (/ y (pow x 2))))
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z)))
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z)))
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z)))
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z)))
(* 1/24 (* (pow x 4) y))
(* (pow x 4) (+ (* 1/24 y) (* 1/2 (/ y (pow x 2)))))
(* (pow x 4) (+ (* 1/24 y) (+ (* 1/2 (/ y (pow x 2))) (/ y (pow x 4)))))
(* (pow x 4) (+ (* 1/24 y) (+ (* 1/2 (/ y (pow x 2))) (/ y (pow x 4)))))
(* 1/24 (pow x 4))
(* (pow x 4) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 1/24 (+ (* 1/2 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))
(* (pow x 4) (+ 1/24 (+ (* 1/2 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))
(* 1/24 (pow x 2))
(* (pow x 2) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z)))
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z)))
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z)))
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z)))
(* 1/720 (/ (* (pow x 5) y) z))
(* -1 (* (pow x 5) (+ (* -1/24 (/ y (* (pow x 2) z))) (* -1/720 (/ y z)))))
(* -1 (* (pow x 5) (+ (* -1/2 (/ y (* (pow x 4) z))) (+ (* -1/24 (/ y (* (pow x 2) z))) (* -1/720 (/ y z))))))
(* -1 (* (pow x 5) (+ (* -1 (/ y (* (pow x 6) z))) (+ (* -1/2 (/ y (* (pow x 4) z))) (+ (* -1/24 (/ y (* (pow x 2) z))) (* -1/720 (/ y z)))))))
(* 1/720 (/ (pow x 6) z))
(* (pow x 6) (+ (* 1/720 (/ 1 z)) (* 1/24 (/ 1 (* (pow x 2) z)))))
(* (pow x 6) (+ (/ 1/24 (* (pow x 2) z)) (+ (/ 1/2 (* (pow x 4) z)) (* 1/720 (/ 1 z)))))
(* (pow x 6) (+ (/ 1/24 (* (pow x 2) z)) (+ (* 1/720 (/ 1 z)) (+ (* 1/2 (/ 1 (* (pow x 4) z))) (/ 1 (* (pow x 6) z))))))
(* 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))))))
(* 720 (/ z (pow x 6)))
(/ (+ (* -21600 (/ z (pow x 2))) (* 720 z)) (pow x 6))
(/ (- (+ (* -1 (/ (+ (* -648000 z) (* 259200 z)) (pow x 4))) (* 720 z)) (* 21600 (/ z (pow x 2)))) (pow x 6))
(/ (- (+ (* -1 (/ (+ (* -7776000 z) (+ (* -30 (+ (* -648000 z) (* 259200 z))) (* 518400 z))) (pow x 6))) (* 720 z)) (+ (* -648000 (/ z (pow x 4))) (+ (* 21600 (/ z (pow x 2))) (* 259200 (/ z (pow x 4)))))) (pow x 6))
(* 1/24 (/ (* (pow x 3) y) z))
(* -1 (* (pow x 3) (+ (* -1/2 (/ y (* (pow x 2) z))) (* -1/24 (/ y z)))))
(* -1 (* (pow x 3) (+ (* -1 (/ y (* (pow x 4) z))) (+ (* -1/2 (/ y (* (pow x 2) z))) (* -1/24 (/ y z))))))
(* -1 (* (pow x 3) (+ (* -1 (/ y (* (pow x 4) z))) (+ (* -1/2 (/ y (* (pow x 2) z))) (* -1/24 (/ y z))))))
(* 1/720 x)
(* 1/720 x)
(* 1/720 x)
(* 1/720 x)

Outputs
(/ (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2))))))) (* x z))
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(/ z (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2))))))))
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(/ z (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2))))))))
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(/ z (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2))))))))
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(* 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))
(* (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))
(* (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))
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z)))
(.f64 (.f64 y #s(literal 1/2 binary64)) (/.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) (*.f64 z x)))
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z)))
(.f64 (.f64 y #s(literal 1/2 binary64)) (/.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) (*.f64 z x)))
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z)))
(.f64 (.f64 y #s(literal 1/2 binary64)) (/.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) (*.f64 z x)))
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z)))
(.f64 (.f64 y #s(literal 1/2 binary64)) (/.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) (*.f64 z x)))
(* 1/720 (/ (* (pow x 5) y) z))
(.f64 (.f64 y (/.f64 (pow.f64 x #s(literal 5 binary64)) z)) #s(literal 1/720 binary64))
(* -1 (* (pow x 5) (+ (* -1/24 (/ y (* (pow x 2) z))) (* -1/720 (/ y z)))))
(.f64 (.f64 (/.f64 y z) (+.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) z))) (+ (* -1/24 (/ y (* (pow x 2) z))) (* -1/720 (/ y z))))))
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(* (pow x 6) (+ 1/720 (+ (/ 1/2 (pow x 4)) (* 1/24 (/ 1 (pow x 2))))))
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(* (pow x 6) (+ 1/720 (+ (/ 1/2 (pow x 4)) (+ (* 1/24 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))
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(* 1/720 x)
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(* 1/720 x)
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(* 1/720 x)
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rewrite165.0ms (1.5%)

Memory

-21.4MiB live, 259.5MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	49	400
0	86	394
1	349	394
2	2014	394
0	8166	391

Stop Event

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

Counts

23 → 991

Calls

Call 1

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

Outputs
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eval325.0ms (3%)

Memory: 17.2MiB live, 389.4MiB allocated
Compiler: Compiled 39 630 to 3 674 computations (90.7% saved)

prune88.0ms (0.8%)

Memory

-6.6MiB live, 197.3MiB allocated

Pruning

30 alts after pruning (26 fresh and 4 done)

	Pruned	Kept	Total
New	1 573	15	1 588
Fresh	7	11	18
Picked	2	3	5
Done	0	1	1
Total	1 582	30	1 612

Accuracy

100.0%

Counts

1 612 → 30

Alt Table

Click to see full alt table

Status	Accuracy	Program
	77.7%	(/.f64 (/.f64 (.f64 y #s(approx (cosh x) (fma.f64 (.f64 x #s(literal 1/2 binary64)) x #s(literal 1 binary64)))) z) x)
	84.8%	(/.f64 (.f64 (cosh.f64 x) y) (.f64 z x))
	66.7%	(/.f64 (.f64 #s(approx (cosh x) (fma.f64 (.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) (/.f64 y x)) z)
	50.6%	(/.f64 #s(approx (/ (* y (cosh x)) z) (/.f64 y z)) x)
	72.7%	(/.f64 #s(approx (/ (* y (cosh x)) z) (.f64 (fma.f64 (.f64 x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) (/.f64 y z))) x)
✓	74.8%	(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (.f64 (fma.f64 (.f64 x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) y) x)) z)
▶	33.8%	(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 #s(approx (* (+ (* (* x 1/2) x) 1) y) (.f64 (.f64 (*.f64 y x) x) #s(literal 1/2 binary64))) x)) z)
✓	44.7%	(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 y x)) z)
	85.1%	(/.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)
✓	27.8%	(/.f64 #s(approx (* (cosh x) (/ y x)) #s(approx (* (+ (* x 1/2) (/ 1 x)) y) (.f64 (.f64 x y) #s(literal 1/2 binary64)))) z)
	27.5%	(/.f64 #s(literal 1 binary64) (/.f64 z #s(approx (* (cosh x) (/ y x)) #s(approx (* (+ (* x 1/2) (/ 1 x)) y) (.f64 (.f64 y #s(literal 1/2 binary64)) x)))))
	84.6%	(.f64 y (/.f64 (cosh.f64 x) (.f64 z x)))
	81.0%	#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (.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)) y) (*.f64 x z)))
	77.9%	#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/24 binary64) x) x #s(literal 1/2 binary64)) (.f64 x x) #s(literal 1 binary64)) y) (.f64 z x)))
	77.5%	#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (.f64 (fma.f64 #s(approx (+ ( (* x x) 1/24) 1/2) (.f64 #s(literal 1/24 binary64) (.f64 x x))) (.f64 x x) #s(literal 1 binary64)) y) (.f64 z x)))
	68.0%	#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (.f64 (fma.f64 #s(approx (+ ( (* x x) 1/24) 1/2) #s(literal 1/2 binary64)) (.f64 x x) #s(literal 1 binary64)) y) (.f64 z x)))
	91.1%	#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (.f64 (/.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)) z) y) x))
	87.3%	#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (.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))
	90.5%	#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 y (.f64 (/.f64 z (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)))
	95.0%	#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 y (.f64 z (/.f64 x (fma.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (.f64 x x) #s(literal 1/2 binary64)) (.f64 x x) #s(literal 1 binary64))))))
▶	50.4%	#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 y (*.f64 z x)))
	80.9%	#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 #s(literal 1 binary64) (/.f64 (.f64 (neg.f64 z) x) (.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)) (neg.f64 y)))))
	72.2%	#s(approx (/ (* (cosh x) (/ y x)) z) (.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)) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 x y) z))))
	59.4%	#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (fma.f64 x #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) (/.f64 y z)))
✓	80.3%	#s(approx (/ (* (cosh x) (/ y x)) z) (.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)) z) (/.f64 y x)))
▶	76.2%	#s(approx (/ (* (cosh x) (/ y 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)) (.f64 z x)) y))
▶	95.2%	#s(approx (/ (* (cosh x) (/ y x)) z) (.f64 (/.f64 (/.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)) z) x) y))
	67.7%	#s(approx (/ (* (cosh x) (/ y x)) z) (.f64 (/.f64 #s(approx (+ ( (+ (* (+ (* (* 1/720 x) x) 1/24) (* x x)) 1/2) (* x x)) 1) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) x #s(literal 1 binary64))) z) (/.f64 y x)))
	50.2%	#s(approx (/ (* (cosh x) (/ y x)) z) (.f64 y (/.f64 #s(literal 1 binary64) #s(approx ( (/ z (+ (* (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (* x x)) 1)) x) (*.f64 z x)))))
▶	95.2%	#s(approx (/ (* (cosh x) (/ y x)) z) (.f64 y #s(approx (/ 1 ( (/ z (+ (* (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (* x x)) 1)) 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) z))))

Compiler

Compiled 881 to 668 computations (24.2% saved)

simplify141.0ms (1.3%)

Memory

-11.1MiB live, 182.1MiB 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) z)
cost-diff	0	#s(approx (/ 1 (* (/ z (+ (* (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (* x x)) 1)) 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) z))
cost-diff	0	(.f64 y #s(approx (/ 1 ( (/ z (+ (* (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (* x x)) 1)) 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) z)))
cost-diff	0	#s(approx (/ (* (cosh x) (/ y x)) z) (.f64 y #s(approx (/ 1 ( (/ z (+ (* (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (* x x)) 1)) 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) z))))
cost-diff	0	(fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64))
cost-diff	0	(fma.f64 (fma.f64 (.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (.f64 x x) #s(literal 1 binary64))
cost-diff	0	(.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)) (.f64 z x)) y)
cost-diff	0	#s(approx (/ (* (cosh x) (/ y 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)) (.f64 z x)) y))
cost-diff	0	#s(approx (* (+ (* (* x 1/2) x) 1) y) (.f64 (.f64 (*.f64 y x) x) #s(literal 1/2 binary64)))
cost-diff	0	(/.f64 #s(approx (* (+ (* (* x 1/2) x) 1) y) (.f64 (.f64 (*.f64 y x) x) #s(literal 1/2 binary64))) x)
cost-diff	0	#s(approx (* (cosh x) (/ y x)) (/.f64 #s(approx (* (+ (* (* x 1/2) x) 1) y) (.f64 (.f64 (*.f64 y x) x) #s(literal 1/2 binary64))) x))
cost-diff	0	(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 #s(approx (* (+ (* (* x 1/2) x) 1) y) (.f64 (.f64 (*.f64 y x) x) #s(literal 1/2 binary64))) x)) z)
cost-diff	-384	(/.f64 y (*.f64 z x))
cost-diff	0	(*.f64 z x)
cost-diff	0	#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 y (*.f64 z x)))
cost-diff	0	(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))
cost-diff	0	(/.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)) z)
cost-diff	0	(.f64 (/.f64 (/.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)) z) x) y)
cost-diff	0	#s(approx (/ (* (cosh x) (/ y x)) z) (.f64 (/.f64 (/.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)) z) x) y))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	56	578
0	90	578
1	165	578
2	282	578
3	511	572
4	1174	572
5	3545	561
6	6892	561
7	7667	561
8	7976	561
0	8007	546

Stop Event

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

Calls

Call 1

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

Outputs
#s(approx (/ (* (cosh x) (/ y x)) z) (.f64 (/.f64 (/.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)) z) x) y))
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (/.f64 y z) (fma.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 1/720 binary64) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/24 binary64) (fma.f64 #s(literal 1/2 binary64) x (/.f64 #s(literal 1 binary64) x))))))
(.f64 (/.f64 (/.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)) z) x) y)
(*.f64 (/.f64 y z) (fma.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 1/720 binary64) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/24 binary64) (fma.f64 #s(literal 1/2 binary64) x (/.f64 #s(literal 1 binary64) x)))))
(/.f64 (/.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)) z) x)
(/.f64 (fma.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 1/720 binary64) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/24 binary64) (fma.f64 #s(literal 1/2 binary64) x (/.f64 #s(literal 1 binary64) x)))) z)
(/.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)) z)
(/.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)
(fma.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (.f64 x x) #s(literal 1/24 binary64)) (.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))
(fma.f64 (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (.f64 x x) #s(literal 1/2 binary64))
(fma.f64 (fma.f64 #s(literal 1/720 binary64) (.f64 x x) #s(literal 1/24 binary64)) (.f64 x x) #s(literal 1/2 binary64))
(fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))
(fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64))
(*.f64 x x)
x
#s(literal 1/720 binary64)
#s(literal 1/24 binary64)
#s(literal 1/2 binary64)
#s(literal 1 binary64)
z
y
#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 #s(approx (* (+ (* (* x 1/2) x) 1) y) (.f64 (.f64 (*.f64 y x) x) #s(literal 1/2 binary64))) x)) z)
#s(approx (* (cosh x) (/ y x)) (/.f64 #s(approx (* (+ (* (* x 1/2) x) 1) y) (.f64 (.f64 (*.f64 y x) x) #s(literal 1/2 binary64))) x))
(/.f64 #s(approx (* (+ (* (* x 1/2) x) 1) y) (.f64 (.f64 (*.f64 y x) x) #s(literal 1/2 binary64))) x)
#s(approx (* (+ (* (* x 1/2) x) 1) y) (.f64 (.f64 (*.f64 y x) x) #s(literal 1/2 binary64)))
(.f64 (.f64 (*.f64 y x) x) #s(literal 1/2 binary64))
(.f64 (.f64 y x) x)
(*.f64 y x)
y
x
#s(literal 1/2 binary64)
z
#s(approx (/ (* (cosh x) (/ y 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)) (.f64 z x)) y))
#s(approx (/ (* (cosh x) (/ y x)) 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)) x) (/.f64 y 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)) (.f64 z 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) (/.f64 y z))
(/.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)) (*.f64 z 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) z)
(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 (fma.f64 #s(literal 1/24 binary64) (.f64 x x) #s(literal 1/2 binary64)) (.f64 x x) #s(literal 1 binary64))
(fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64))
(fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64))
(*.f64 x x)
x
#s(literal 1/24 binary64)
#s(literal 1/2 binary64)
#s(literal 1 binary64)
(*.f64 z x)
z
y
#s(approx (/ (* (cosh x) (/ y x)) z) (.f64 y #s(approx (/ 1 ( (/ z (+ (* (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (* x x)) 1)) 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) z))))
#s(approx (/ (* (cosh x) (/ y x)) z) (.f64 #s(approx (/ 1 ( (/ z (+ (* (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (* x x)) 1)) x)) (/.f64 (fma.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 1/720 binary64) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/24 binary64) (fma.f64 #s(literal 1/2 binary64) x (/.f64 #s(literal 1 binary64) x)))) z)) y))
(.f64 y #s(approx (/ 1 ( (/ z (+ (* (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (* x x)) 1)) 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) z)))
(.f64 #s(approx (/ 1 ( (/ z (+ (* (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (* x x)) 1)) x)) (/.f64 (fma.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 1/720 binary64) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/24 binary64) (fma.f64 #s(literal 1/2 binary64) x (/.f64 #s(literal 1 binary64) x)))) z)) y)
y
#s(approx (/ 1 (* (/ z (+ (* (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (* x x)) 1)) 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) z))
#s(approx (/ 1 (* (/ z (+ (* (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (* x x)) 1)) x)) (/.f64 (fma.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 1/720 binary64) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/24 binary64) (fma.f64 #s(literal 1/2 binary64) x (/.f64 #s(literal 1 binary64) 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)) x) z)
(/.f64 (fma.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 1/720 binary64) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/24 binary64) (fma.f64 #s(literal 1/2 binary64) x (/.f64 #s(literal 1 binary64) x)))) z)
(/.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 (pow.f64 x #s(literal 5 binary64)) #s(literal 1/720 binary64) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/24 binary64) (fma.f64 #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)
z

localize242.0ms (2.3%)

Memory

1.9MiB live, 291.1MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score
accuracy	1.6046610494009352	(/.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	1.9940975751018373	(/.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) z)
accuracy	2.6416047158069693	(.f64 y #s(approx (/ 1 ( (/ z (+ (* (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (* x x)) 1)) 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) z)))
accuracy	6.708544176760575	#s(approx (/ (* (cosh x) (/ y x)) z) (.f64 y #s(approx (/ 1 ( (/ z (+ (* (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (* x x)) 1)) 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) z))))
accuracy	0.3494230319033334	(fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64))
accuracy	3.3988946630353425	(.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)) (.f64 z x)) y)
accuracy	10.070182939754371	(/.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)) (*.f64 z x))
accuracy	12.012979087715552	#s(approx (/ (* (cosh x) (/ y 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)) (.f64 z x)) y))
accuracy	4.09649889910477	(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 #s(approx (* (+ (* (* x 1/2) x) 1) y) (.f64 (.f64 (*.f64 y x) x) #s(literal 1/2 binary64))) x)) z)
accuracy	5.821693496915881	(/.f64 #s(approx (* (+ (* (* x 1/2) x) 1) y) (.f64 (.f64 (*.f64 y x) x) #s(literal 1/2 binary64))) x)
accuracy	23.417354335439754	#s(approx (* (cosh x) (/ y x)) (/.f64 #s(approx (* (+ (* (* x 1/2) x) 1) y) (.f64 (.f64 (*.f64 y x) x) #s(literal 1/2 binary64))) x))
accuracy	29.493944268035975	#s(approx (* (+ (* (* x 1/2) x) 1) y) (.f64 (.f64 (*.f64 y x) x) #s(literal 1/2 binary64)))
accuracy	0	(*.f64 z x)
accuracy	3.1004903122441867	(/.f64 y (*.f64 z x))
accuracy	31.297522604734386	#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 y (*.f64 z x)))
accuracy	1.4726335020758086	(/.f64 (/.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)) z) x)
accuracy	2.094845237169339	(/.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)) z)
accuracy	2.6416047158069693	(.f64 (/.f64 (/.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)) z) x) y)
accuracy	6.708544176760575	#s(approx (/ (* (cosh x) (/ y x)) z) (.f64 (/.f64 (/.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)) z) x) y))

Samples

170.0ms

256×

valid

Compiler

Compiled 429 to 51 computations (88.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 116.0ms

ival-div: 45.0ms (38.7% of total)

ival-mult: 29.0ms (25% of total)

const: 28.0ms (24.1% of total)

ival-add: 10.0ms (8.6% of total)

ival-cosh: 3.0ms (2.6% of total)

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

exact: 0.0ms (0% of total)

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

series184.0ms (1.7%)

Memory

-8.2MiB live, 114.5MiB allocated

Counts

22 → 588

Calls

Call 1

Inputs
#s(alt #s(approx (/ (* (cosh x) (/ y x)) z) (.f64 (/.f64 (/.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)) z) x) y)) (patch #s(approx (/ (* (cosh x) (/ y x)) z) (.f64 (/.f64 (/.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)) z) x) y)) #<representation binary64>) () ())
#s(alt (.f64 (/.f64 (/.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)) z) x) y) (patch (.f64 (/.f64 (/.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)) z) x) y) #<representation binary64>) () ())
#s(alt (/.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)) z) (patch (/.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)) z) #<representation binary64>) () ())
#s(alt (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)) (patch (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)) #<representation binary64>) () ())
#s(alt #s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 y (.f64 z x))) (patch #s(approx (/ ( (cosh x) (/ y x)) z) (/.f64 y (*.f64 z x))) #<representation binary64>) () ())
#s(alt (.f64 z x) (patch (.f64 z x) #<representation binary64>) () ())
#s(alt (/.f64 y (.f64 z x)) (patch (/.f64 y (.f64 z x)) #<representation binary64>) () ())
#s(alt (/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 #s(approx (* (+ (* (* x 1/2) x) 1) y) (.f64 (.f64 (.f64 y x) x) #s(literal 1/2 binary64))) x)) z) (patch (/.f64 #s(approx ( (cosh x) (/ y x)) (/.f64 #s(approx (* (+ (* (* x 1/2) x) 1) y) (.f64 (.f64 (*.f64 y x) x) #s(literal 1/2 binary64))) x)) z) #<representation binary64>) () ())
#s(alt #s(approx (* (cosh x) (/ y x)) (/.f64 #s(approx (* (+ (* (* x 1/2) x) 1) y) (.f64 (.f64 (.f64 y x) x) #s(literal 1/2 binary64))) x)) (patch #s(approx ( (cosh x) (/ y x)) (/.f64 #s(approx (* (+ (* (* x 1/2) x) 1) y) (.f64 (.f64 (*.f64 y x) x) #s(literal 1/2 binary64))) x)) #<representation binary64>) () ())
#s(alt (/.f64 #s(approx (* (+ (* (* x 1/2) x) 1) y) (.f64 (.f64 (.f64 y x) x) #s(literal 1/2 binary64))) x) (patch (/.f64 #s(approx ( (+ (* (* x 1/2) x) 1) y) (.f64 (.f64 (*.f64 y x) x) #s(literal 1/2 binary64))) x) #<representation binary64>) () ())
#s(alt #s(approx (* (+ (* (* x 1/2) x) 1) y) (.f64 (.f64 (.f64 y x) x) #s(literal 1/2 binary64))) (patch #s(approx ( (+ (* (* x 1/2) x) 1) y) (.f64 (.f64 (*.f64 y x) x) #s(literal 1/2 binary64))) #<representation binary64>) () ())
#s(alt #s(approx (/ (* (cosh x) (/ y 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)) (.f64 z x)) y)) (patch #s(approx (/ (* (cosh x) (/ y 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)) (.f64 z x)) y)) #<representation binary64>) () ())
#s(alt (.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)) (.f64 z x)) y) (patch (.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)) (.f64 z x)) y) #<representation binary64>) () ())
#s(alt (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (.f64 x x) #s(literal 1 binary64)) (patch (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (.f64 x x) #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt (fma.f64 (.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (patch (fma.f64 (.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) #<representation binary64>) () ())
#s(alt #s(approx (/ (* (cosh x) (/ y x)) z) (.f64 y #s(approx (/ 1 ( (/ z (+ (* (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (* x x)) 1)) 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) z)))) (patch #s(approx (/ ( (cosh x) (/ y x)) z) (.f64 y #s(approx (/ 1 ( (/ z (+ (* (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (* x x)) 1)) 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) z)))) #<representation binary64>) () ())
#s(alt (.f64 y #s(approx (/ 1 ( (/ z (+ (* (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (* x x)) 1)) 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) z))) (patch (.f64 y #s(approx (/ 1 (* (/ z (+ (* (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (* x x)) 1)) 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) z))) #<representation binary64>) () ())
#s(alt #s(approx (/ 1 (* (/ z (+ (* (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (* x x)) 1)) 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) z)) (patch #s(approx (/ 1 ( (/ z (+ (* (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (* x x)) 1)) 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) z)) #<representation binary64>) () ())
#s(alt (/.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) z) (patch (/.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) z) #<representation binary64>) () ())
#s(alt (/.f64 (/.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)) z) x) (patch (/.f64 (/.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)) z) x) #<representation binary64>) () ())
#s(alt (/.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)) (.f64 z x)) (patch (/.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)) (.f64 z x)) #<representation binary64>) () ())
#s(alt (/.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) (patch (/.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) #<representation binary64>) () ())

Outputs
#s(alt (* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) (taylor 0 z) (#s(alt #s(approx (/ (* (cosh x) (/ y x)) z) (.f64 (/.f64 (/.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)) z) x) y)) (patch #s(approx (/ (* (cosh x) (/ y x)) z) (.f64 (/.f64 (/.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)) z) x) y)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) (taylor 0 z) (#s(alt #s(approx (/ (* (cosh x) (/ y x)) z) (.f64 (/.f64 (/.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)) z) x) y)) (patch #s(approx (/ (* (cosh x) (/ y x)) z) (.f64 (/.f64 (/.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)) z) x) y)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) (taylor 0 z) (#s(alt #s(approx (/ (* (cosh x) (/ y x)) z) (.f64 (/.f64 (/.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)) z) x) y)) (patch #s(approx (/ (* (cosh x) (/ y x)) z) (.f64 (/.f64 (/.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)) z) x) y)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) (taylor 0 z) (#s(alt #s(approx (/ (* (cosh x) (/ y x)) z) (.f64 (/.f64 (/.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)) z) x) y)) (patch #s(approx (/ (* (cosh x) (/ y x)) z) (.f64 (/.f64 (/.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)) z) x) y)) #<representation binary64>) () ())) ())
#s(alt (/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))) (* x z)) (taylor 0 z) (#s(alt (.f64 (/.f64 (/.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)) z) x) y) (patch (.f64 (/.f64 (/.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)) z) x) y) #<representation binary64>) () ())) ())
#s(alt (/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))) (* x z)) (taylor 0 z) (#s(alt (.f64 (/.f64 (/.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)) z) x) y) (patch (.f64 (/.f64 (/.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)) z) x) y) #<representation binary64>) () ())) ())
#s(alt (/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))) (* x z)) (taylor 0 z) (#s(alt (.f64 (/.f64 (/.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)) z) x) y) (patch (.f64 (/.f64 (/.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)) z) x) y) #<representation binary64>) () ())) ())
#s(alt (/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))) (* x z)) (taylor 0 z) (#s(alt (.f64 (/.f64 (/.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)) z) x) y) (patch (.f64 (/.f64 (/.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)) z) x) y) #<representation binary64>) () ())) ())
#s(alt (/ (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2))))))) z) (taylor 0 z) (#s(alt (/.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)) z) (patch (/.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)) z) #<representation binary64>) () ())) ())
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#s(alt (* 1/720 (/ (pow x 5) z)) (taylor -inf x) (#s(alt (/.f64 (/.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)) z) x) (patch (/.f64 (/.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)) z) x) #<representation binary64>) () ())) ())
#s(alt (* (pow x 5) (+ (* 1/720 (/ 1 z)) (* 1/24 (/ 1 (* (pow x 2) z))))) (taylor -inf x) (#s(alt (/.f64 (/.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)) z) x) (patch (/.f64 (/.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)) z) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow x 5) (- (* -1 (/ (+ (* 1/24 (/ 1 z)) (* 1/2 (/ 1 (* (pow x 2) z)))) (pow x 2))) (* 1/720 (/ 1 z))))) (taylor -inf x) (#s(alt (/.f64 (/.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)) z) x) (patch (/.f64 (/.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)) z) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow x 5) (- (* -1 (/ (+ (* 1/2 (/ 1 z)) (/ 1 (* (pow x 2) z))) (pow x 4))) (+ (/ 1/24 (* (pow x 2) z)) (* 1/720 (/ 1 z)))))) (taylor -inf x) (#s(alt (/.f64 (/.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)) z) x) (patch (/.f64 (/.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)) z) x) #<representation binary64>) () ())) ())
#s(alt (* 1/24 (/ (pow x 3) z)) (taylor -inf x) (#s(alt (/.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)) (.f64 z x)) (patch (/.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)) (.f64 z x)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 3) (+ (* 1/24 (/ 1 z)) (* 1/2 (/ 1 (* (pow x 2) z))))) (taylor -inf x) (#s(alt (/.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)) (.f64 z x)) (patch (/.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)) (.f64 z x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow x 3) (- (* -1 (/ (+ (* 1/2 (/ 1 z)) (/ 1 (* (pow x 2) z))) (pow x 2))) (* 1/24 (/ 1 z))))) (taylor -inf x) (#s(alt (/.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)) (.f64 z x)) (patch (/.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)) (.f64 z x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow x 3) (- (* -1 (/ (+ (* 1/2 (/ 1 z)) (/ 1 (* (pow x 2) z))) (pow x 2))) (* 1/24 (/ 1 z))))) (taylor -inf x) (#s(alt (/.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)) (.f64 z x)) (patch (/.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)) (.f64 z x)) #<representation binary64>) () ())) ())
#s(alt (* 1/720 (pow x 5)) (taylor -inf x) (#s(alt (/.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) (patch (/.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) #<representation binary64>) () ())) ())
#s(alt (* (pow x 5) (+ 1/720 (* 1/24 (/ 1 (pow x 2))))) (taylor -inf x) (#s(alt (/.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) (patch (/.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) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow x 5) (- (* -1 (/ (+ 1/24 (* 1/2 (/ 1 (pow x 2)))) (pow x 2))) 1/720))) (taylor -inf x) (#s(alt (/.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) (patch (/.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) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow x 5) (- (* -1 (/ (+ 1/2 (/ 1 (pow x 2))) (pow x 4))) (+ 1/720 (* 1/24 (/ 1 (pow x 2))))))) (taylor -inf x) (#s(alt (/.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) (patch (/.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) #<representation binary64>) () ())) ())

Calls

9 calls:

Time	Variable		Point	Expression
51.0ms	x	@	0	((/ (* (cosh x) (/ y x)) z) (* (/ (/ (+ (* (+ (* (+ (* (* x x) 1/720) 1/24) (* x x)) 1/2) (* x x)) 1) z) x) y) (/ (+ (* (+ (* (+ (* (* x x) 1/720) 1/24) (* x x)) 1/2) (* x x)) 1) z) (+ (* (+ (* (+ (* (* x x) 1/720) 1/24) (* x x)) 1/2) (* x x)) 1) (/ (* (cosh x) (/ y x)) z) (* z x) (/ y (* z x)) (/ (* (cosh x) (/ y x)) z) (* (cosh x) (/ y x)) (/ (* (+ (* (* x 1/2) x) 1) y) x) (* (+ (* (* x 1/2) x) 1) y) (/ (* (cosh x) (/ y x)) z) (* (/ (+ (* (+ (* (* x x) 1/24) 1/2) (* x x)) 1) (* z x)) y) (+ (* (+ (* (* x x) 1/24) 1/2) (* x x)) 1) (+ (* (* x x) 1/24) 1/2) (/ (* (cosh x) (/ y x)) z) (* y (/ 1 (* (/ z (+ (* (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (* x x)) 1)) x))) (/ 1 (* (/ z (+ (* (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (* x x)) 1)) x)) (/ (/ (+ (* (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (* x x)) 1) x) z) (/ (/ (+ (* (+ (* (+ (* (* x x) 1/720) 1/24) (* x x)) 1/2) (* x x)) 1) z) x) (/ (+ (* (+ (* (* x x) 1/24) 1/2) (* x x)) 1) (* z x)) (/ (+ (* (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (* x x)) 1) x))
29.0ms	z	@	inf	((/ (* (cosh x) (/ y x)) z) (* (/ (/ (+ (* (+ (* (+ (* (* x x) 1/720) 1/24) (* x x)) 1/2) (* x x)) 1) z) x) y) (/ (+ (* (+ (* (+ (* (* x x) 1/720) 1/24) (* x x)) 1/2) (* x x)) 1) z) (+ (* (+ (* (+ (* (* x x) 1/720) 1/24) (* x x)) 1/2) (* x x)) 1) (/ (* (cosh x) (/ y x)) z) (* z x) (/ y (* z x)) (/ (* (cosh x) (/ y x)) z) (* (cosh x) (/ y x)) (/ (* (+ (* (* x 1/2) x) 1) y) x) (* (+ (* (* x 1/2) x) 1) y) (/ (* (cosh x) (/ y x)) z) (* (/ (+ (* (+ (* (* x x) 1/24) 1/2) (* x x)) 1) (* z x)) y) (+ (* (+ (* (* x x) 1/24) 1/2) (* x x)) 1) (+ (* (* x x) 1/24) 1/2) (/ (* (cosh x) (/ y x)) z) (* y (/ 1 (* (/ z (+ (* (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (* x x)) 1)) x))) (/ 1 (* (/ z (+ (* (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (* x x)) 1)) x)) (/ (/ (+ (* (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (* x x)) 1) x) z) (/ (/ (+ (* (+ (* (+ (* (* x x) 1/720) 1/24) (* x x)) 1/2) (* x x)) 1) z) x) (/ (+ (* (+ (* (* x x) 1/24) 1/2) (* x x)) 1) (* z x)) (/ (+ (* (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (* x x)) 1) x))
5.0ms	z	@	-inf	((/ (* (cosh x) (/ y x)) z) (* (/ (/ (+ (* (+ (* (+ (* (* x x) 1/720) 1/24) (* x x)) 1/2) (* x x)) 1) z) x) y) (/ (+ (* (+ (* (+ (* (* x x) 1/720) 1/24) (* x x)) 1/2) (* x x)) 1) z) (+ (* (+ (* (+ (* (* x x) 1/720) 1/24) (* x x)) 1/2) (* x x)) 1) (/ (* (cosh x) (/ y x)) z) (* z x) (/ y (* z x)) (/ (* (cosh x) (/ y x)) z) (* (cosh x) (/ y x)) (/ (* (+ (* (* x 1/2) x) 1) y) x) (* (+ (* (* x 1/2) x) 1) y) (/ (* (cosh x) (/ y x)) z) (* (/ (+ (* (+ (* (* x x) 1/24) 1/2) (* x x)) 1) (* z x)) y) (+ (* (+ (* (* x x) 1/24) 1/2) (* x x)) 1) (+ (* (* x x) 1/24) 1/2) (/ (* (cosh x) (/ y x)) z) (* y (/ 1 (* (/ z (+ (* (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (* x x)) 1)) x))) (/ 1 (* (/ z (+ (* (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (* x x)) 1)) x)) (/ (/ (+ (* (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (* x x)) 1) x) z) (/ (/ (+ (* (+ (* (+ (* (* x x) 1/720) 1/24) (* x x)) 1/2) (* x x)) 1) z) x) (/ (+ (* (+ (* (* x x) 1/24) 1/2) (* x x)) 1) (* z x)) (/ (+ (* (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (* x x)) 1) x))
4.0ms	x	@	-inf	((/ (* (cosh x) (/ y x)) z) (* (/ (/ (+ (* (+ (* (+ (* (* x x) 1/720) 1/24) (* x x)) 1/2) (* x x)) 1) z) x) y) (/ (+ (* (+ (* (+ (* (* x x) 1/720) 1/24) (* x x)) 1/2) (* x x)) 1) z) (+ (* (+ (* (+ (* (* x x) 1/720) 1/24) (* x x)) 1/2) (* x x)) 1) (/ (* (cosh x) (/ y x)) z) (* z x) (/ y (* z x)) (/ (* (cosh x) (/ y x)) z) (* (cosh x) (/ y x)) (/ (* (+ (* (* x 1/2) x) 1) y) x) (* (+ (* (* x 1/2) x) 1) y) (/ (* (cosh x) (/ y x)) z) (* (/ (+ (* (+ (* (* x x) 1/24) 1/2) (* x x)) 1) (* z x)) y) (+ (* (+ (* (* x x) 1/24) 1/2) (* x x)) 1) (+ (* (* x x) 1/24) 1/2) (/ (* (cosh x) (/ y x)) z) (* y (/ 1 (* (/ z (+ (* (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (* x x)) 1)) x))) (/ 1 (* (/ z (+ (* (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (* x x)) 1)) x)) (/ (/ (+ (* (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (* x x)) 1) x) z) (/ (/ (+ (* (+ (* (+ (* (* x x) 1/720) 1/24) (* x x)) 1/2) (* x x)) 1) z) x) (/ (+ (* (+ (* (* x x) 1/24) 1/2) (* x x)) 1) (* z x)) (/ (+ (* (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (* x x)) 1) x))
4.0ms	y	@	-inf	((/ (* (cosh x) (/ y x)) z) (* (/ (/ (+ (* (+ (* (+ (* (* x x) 1/720) 1/24) (* x x)) 1/2) (* x x)) 1) z) x) y) (/ (+ (* (+ (* (+ (* (* x x) 1/720) 1/24) (* x x)) 1/2) (* x x)) 1) z) (+ (* (+ (* (+ (* (* x x) 1/720) 1/24) (* x x)) 1/2) (* x x)) 1) (/ (* (cosh x) (/ y x)) z) (* z x) (/ y (* z x)) (/ (* (cosh x) (/ y x)) z) (* (cosh x) (/ y x)) (/ (* (+ (* (* x 1/2) x) 1) y) x) (* (+ (* (* x 1/2) x) 1) y) (/ (* (cosh x) (/ y x)) z) (* (/ (+ (* (+ (* (* x x) 1/24) 1/2) (* x x)) 1) (* z x)) y) (+ (* (+ (* (* x x) 1/24) 1/2) (* x x)) 1) (+ (* (* x x) 1/24) 1/2) (/ (* (cosh x) (/ y x)) z) (* y (/ 1 (* (/ z (+ (* (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (* x x)) 1)) x))) (/ 1 (* (/ z (+ (* (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (* x x)) 1)) x)) (/ (/ (+ (* (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (* x x)) 1) x) z) (/ (/ (+ (* (+ (* (+ (* (* x x) 1/720) 1/24) (* x x)) 1/2) (* x x)) 1) z) x) (/ (+ (* (+ (* (* x x) 1/24) 1/2) (* x x)) 1) (* z x)) (/ (+ (* (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (* x x)) 1) x))

simplify268.0ms (2.5%)

Memory

27.2MiB live, 218.3MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	265	8964
1	873	8958
2	2840	8707
3	7184	8692
0	8635	8158

Stop Event

1×	iter limit
1×	node limit

Counts

588 → 587

Calls

Call 1

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

rewrite473.0ms (4.4%)

Memory

-32.5MiB live, 288.8MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	56	474
0	90	468
1	347	468
2	1803	468
0	8652	464

Stop Event

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

Counts

22 → 664

Calls

Call 1

Inputs
#s(approx (/ (* (cosh x) (/ y x)) z) (.f64 (/.f64 (/.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)) z) x) y))
(.f64 (/.f64 (/.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)) z) x) y)
(/.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)) z)
(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(approx (/ (* (cosh x) (/ y x)) z) (/.f64 y (*.f64 z x)))
(*.f64 z x)
(/.f64 y (*.f64 z x))
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 #s(approx (* (+ (* (* x 1/2) x) 1) y) (.f64 (.f64 (*.f64 y x) x) #s(literal 1/2 binary64))) x)) z)
#s(approx (* (cosh x) (/ y x)) (/.f64 #s(approx (* (+ (* (* x 1/2) x) 1) y) (.f64 (.f64 (*.f64 y x) x) #s(literal 1/2 binary64))) x))
(/.f64 #s(approx (* (+ (* (* x 1/2) x) 1) y) (.f64 (.f64 (*.f64 y x) x) #s(literal 1/2 binary64))) x)
#s(approx (* (+ (* (* x 1/2) x) 1) y) (.f64 (.f64 (*.f64 y x) x) #s(literal 1/2 binary64)))
#s(approx (/ (* (cosh x) (/ y 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)) (.f64 z x)) y))
(.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)) (.f64 z x)) y)
(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 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64))
#s(approx (/ (* (cosh x) (/ y x)) z) (.f64 y #s(approx (/ 1 ( (/ z (+ (* (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (* x x)) 1)) 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) z))))
(.f64 y #s(approx (/ 1 ( (/ z (+ (* (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (* x x)) 1)) 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) z)))
#s(approx (/ 1 (* (/ z (+ (* (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (* x x)) 1)) 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) 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)) x) z)
(/.f64 (/.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)) z) x)
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eval463.0ms (4.4%)

Memory: 42.5MiB live, 342.4MiB allocated
Compiler: Compiled 31 806 to 3 215 computations (89.9% saved)

prune416.0ms (3.9%)

Memory

-27.7MiB live, 225.3MiB allocated

Pruning

35 alts after pruning (29 fresh and 6 done)

	Pruned	Kept	Total
New	1 270	14	1 284
Fresh	6	15	21
Picked	2	3	5
Done	1	3	4
Total	1 279	35	1 314

Accuracy

100.0%

Counts

1 314 → 35

Alt Table

Click to see full alt table

Status	Accuracy	Program
	77.7%	(/.f64 (/.f64 (.f64 y #s(approx (cosh x) (fma.f64 (.f64 x #s(literal 1/2 binary64)) x #s(literal 1 binary64)))) z) x)
	84.8%	(/.f64 (.f64 (cosh.f64 x) y) (.f64 z x))
	50.6%	(/.f64 #s(approx (/ (* y (cosh x)) z) (/.f64 y z)) x)
	39.7%	(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 #s(approx (* (+ (* (* x 1/2) x) 1) y) (.f64 (.f64 (*.f64 x x) y) #s(literal 1/2 binary64))) x)) z)
✓	44.7%	(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 y x)) z)
	85.1%	(/.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)
	72.9%	(/.f64 #s(approx (* (cosh x) (/ y x)) (.f64 (/.f64 (fma.f64 (.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)) x) y)) z)
✓	27.8%	(/.f64 #s(approx (* (cosh x) (/ y x)) #s(approx (* (+ (* x 1/2) (/ 1 x)) y) (.f64 (.f64 x y) #s(literal 1/2 binary64)))) z)
	27.5%	(/.f64 #s(literal 1 binary64) (/.f64 z #s(approx (* (cosh x) (/ y x)) #s(approx (* (+ (* x 1/2) (/ 1 x)) y) (.f64 (.f64 y #s(literal 1/2 binary64)) x)))))
	84.6%	(.f64 y (/.f64 (cosh.f64 x) (.f64 z x)))
	81.0%	#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (.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)) y) (*.f64 x z)))
	72.7%	#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)) (/.f64 y z)) x))
	77.5%	#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (.f64 (fma.f64 #s(approx (+ ( (* x x) 1/24) 1/2) (.f64 #s(literal 1/24 binary64) (.f64 x x))) (.f64 x x) #s(literal 1 binary64)) y) (.f64 z x)))
	68.0%	#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (.f64 (fma.f64 #s(approx (+ ( (* x x) 1/24) 1/2) #s(literal 1/2 binary64)) (.f64 x x) #s(literal 1 binary64)) y) (.f64 z x)))
	91.1%	#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (.f64 (/.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)) z) y) x))
	87.3%	#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (.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))
	90.5%	#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 y (.f64 (/.f64 z (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)))
	95.0%	#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 y (.f64 (/.f64 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)))
✓	50.4%	#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 y (*.f64 z x)))
	80.9%	#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 #s(literal 1 binary64) (/.f64 (.f64 z 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)) y))))
	72.2%	#s(approx (/ (* (cosh x) (/ y x)) z) (.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)) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 x y) z))))
	59.4%	#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (fma.f64 x #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) (/.f64 y z)))
✓	80.3%	#s(approx (/ (* (cosh x) (/ y x)) z) (.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)) z) (/.f64 y x)))
	76.2%	#s(approx (/ (* (cosh x) (/ y x)) z) (.f64 (/.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/24 binary64) x) x #s(literal 1/2 binary64)) (.f64 x x) #s(literal 1 binary64)) (.f64 z x)) y))
	75.8%	#s(approx (/ (* (cosh x) (/ y x)) z) (.f64 (/.f64 (fma.f64 #s(approx (+ ( (* x x) 1/24) 1/2) (.f64 #s(literal 1/24 binary64) (.f64 x x))) (.f64 x x) #s(literal 1 binary64)) (.f64 z x)) y))
	67.1%	#s(approx (/ (* (cosh x) (/ y x)) z) (.f64 (/.f64 (fma.f64 #s(approx (+ ( (* x x) 1/24) 1/2) #s(literal 1/2 binary64)) (.f64 x x) #s(literal 1 binary64)) (.f64 z x)) y))
✓	95.2%	#s(approx (/ (* (cosh x) (/ y x)) z) (.f64 (/.f64 (/.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)) z) x) y))
	80.7%	#s(approx (/ (* (cosh x) (/ y x)) z) (.f64 (/.f64 (/.f64 #s(approx (+ ( (+ (* (+ (* (* x x) 1/720) 1/24) (* x x)) 1/2) (* x x)) 1) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) z) x) y))
	67.7%	#s(approx (/ (* (cosh x) (/ y x)) z) (.f64 (/.f64 #s(approx (+ ( (+ (* (+ (* (* 1/720 x) x) 1/24) (* x x)) 1/2) (* x x)) 1) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) x #s(literal 1 binary64))) z) (/.f64 y x)))
	50.2%	#s(approx (/ (* (cosh x) (/ y x)) z) (.f64 (/.f64 #s(approx (+ ( (+ (* (* x x) 1/24) 1/2) (* x x)) 1) #s(literal 1 binary64)) (*.f64 z x)) y))
	50.5%	#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 y (neg.f64 z))))
	77.7%	#s(approx (/ (* (cosh x) (/ y x)) z) (.f64 (.f64 (neg.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) (/.f64 #s(literal -1 binary64) (*.f64 z x))))
	45.3%	#s(approx (/ (* (cosh x) (/ y x)) z) (.f64 #s(approx (/ (+ ( (+ (* (* x x) 1/24) 1/2) (* x x)) 1) (* z x)) (.f64 x (fma.f64 (/.f64 (.f64 x x) z) #s(literal 1/24 binary64) (/.f64 #s(literal 1/2 binary64) z)))) y))
✓	95.2%	#s(approx (/ (* (cosh x) (/ y x)) z) (.f64 y #s(approx (/ 1 ( (/ z (+ (* (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (* x x)) 1)) 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) z))))
	78.8%	#s(approx (/ (* (cosh x) (/ y x)) z) (.f64 y #s(approx (/ 1 ( (/ z (+ (* (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (* x x)) 1)) x)) (/.f64 #s(approx (/ (+ (* (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (* x x)) 1) x) (/.f64 (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)) x)) z))))

Compiler

Compiled 1 490 to 678 computations (54.5% saved)

regimes113.0ms (1.1%)

Memory

-10.0MiB live, 225.2MiB allocated

Counts

59 → 2

Calls

Call 1

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

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

Calls

5 calls:

37.0ms	y
19.0ms	z
19.0ms	(*.f64 (cosh.f64 x) (/.f64 y x))
16.0ms	x
16.0ms	(/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z)

Results

Accuracy	Segments	Branch
99.5%	2	`x`
97.2%	2	`y`
98.4%	2	`z`
99.9%	2	`(/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z)`
99.9%	2	`(*.f64 (cosh.f64 x) (/.f64 y x))`

Compiler

Compiled 17 to 22 computations (-29.4% saved)

regimes53.0ms (0.5%)

Memory

29.6MiB live, 111.6MiB 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) (.f64 y (/.f64 #s(literal 1 binary64) #s(approx ( (/ z (+ (* (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (* x x)) 1)) x) (*.f64 z x)))))
#s(approx (/ (* (cosh x) (/ y x)) z) (.f64 (/.f64 #s(approx (+ ( (+ (* (* x x) 1/24) 1/2) (* x x)) 1) #s(literal 1 binary64)) (*.f64 z x)) y))
(/.f64 #s(approx (* (cosh x) (/ y x)) #s(approx (* (+ (* x 1/2) (/ 1 x)) y) (.f64 (.f64 x y) #s(literal 1/2 binary64)))) 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 (/.f64 #s(approx (/ (+ ( (+ (* 1/24 (* x x)) 1/2) (* x x)) 1) z) (/.f64 #s(literal 1 binary64) z)) x) y))
#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 (fma.f64 #s(approx (+ ( (* x x) 1/24) 1/2) #s(literal 1/2 binary64)) (.f64 x x) #s(literal 1 binary64)) (.f64 z x)) y))
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (.f64 (fma.f64 #s(approx (+ ( (* x x) 1/24) 1/2) #s(literal 1/2 binary64)) (.f64 x x) #s(literal 1 binary64)) y) (.f64 z x)))
(/.f64 #s(literal 1 binary64) (/.f64 z #s(approx (* (cosh x) (/ y x)) #s(approx (* (+ (* x 1/2) (/ 1 x)) y) (.f64 (.f64 y #s(literal 1/2 binary64)) x)))))
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (fma.f64 x #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) (/.f64 y z)))
(/.f64 #s(approx (* (cosh x) (/ y x)) (*.f64 (fma.f64 x #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) y)) z)
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 #s(approx (* (+ (* (* x 1/2) x) 1) y) (.f64 (.f64 (*.f64 x x) y) #s(literal 1/2 binary64))) x)) z)
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 #s(approx (* (+ (* (* x 1/2) x) 1) y) (.f64 (.f64 (*.f64 y x) x) #s(literal 1/2 binary64))) x)) z)
#s(approx (/ (* (cosh x) (/ y x)) z) (.f64 y #s(approx (/ 1 ( (/ z (+ (* (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (* x x)) 1)) x)) (/.f64 #s(approx (/ (+ (* (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (* x x)) 1) x) (/.f64 (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)) x)) z))))
#s(approx (/ (* (cosh x) (/ y x)) z) (.f64 (/.f64 #s(approx (+ ( (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (* x x)) 1) (fma.f64 (*.f64 x #s(literal 1/2 binary64)) x #s(literal 1 binary64))) z) (/.f64 y x)))
#s(approx (/ (* (cosh x) (/ y x)) z) (.f64 (/.f64 #s(approx (+ ( (+ (* (+ (* (* 1/720 x) x) 1/24) (* x x)) 1/2) (* x x)) 1) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) x #s(literal 1 binary64))) z) (/.f64 y x)))
#s(approx (/ (* (cosh x) (/ y x)) z) (.f64 (/.f64 (/.f64 #s(approx (+ ( (+ (* (+ (* (* x x) 1/720) 1/24) (* x x)) 1/2) (* x x)) 1) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) z) x) y))
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)) (/.f64 y z)) x))
(/.f64 #s(approx (* (cosh x) (/ y x)) (.f64 (/.f64 (fma.f64 (.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)) x) y)) z)
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (.f64 (fma.f64 (.f64 x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) y) x)) z)
(/.f64 #s(approx (/ (* y (cosh x)) z) (.f64 (fma.f64 (.f64 x #s(literal 1/2 binary64)) x #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 #s(literal 1/2 binary64)) x #s(literal 1 binary64)))) z) x)
#s(approx (/ (* (cosh x) (/ y x)) z) (.f64 (/.f64 (fma.f64 #s(approx (+ ( (* x x) 1/24) 1/2) (.f64 #s(literal 1/24 binary64) (.f64 x x))) (.f64 x x) #s(literal 1 binary64)) (.f64 z x)) y))
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (.f64 (fma.f64 #s(approx (+ ( (* x x) 1/24) 1/2) (.f64 #s(literal 1/24 binary64) (.f64 x x))) (.f64 x x) #s(literal 1 binary64)) y) (.f64 z x)))
#s(approx (/ (* (cosh x) (/ y x)) z) (.f64 #s(approx (/ (+ ( (+ (* (* x x) 1/24) 1/2) (* x x)) 1) (* z x)) (.f64 x (fma.f64 (/.f64 (.f64 x x) z) #s(literal 1/24 binary64) (/.f64 #s(literal 1/2 binary64) z)))) y))
#s(approx (/ (* (cosh x) (/ y x)) z) (.f64 (/.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/24 binary64) x) x #s(literal 1/2 binary64)) (.f64 x x) #s(literal 1 binary64)) (.f64 z x)) y))
#s(approx (/ (* (cosh x) (/ y 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)) (.f64 z x)) y))
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/24 binary64) 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 (.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) (.f64 z 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))
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 y (.f64 (/.f64 z (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)))
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (.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))
(/.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)) z) (.f64 (.f64 (neg.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) (/.f64 #s(literal -1 binary64) (*.f64 z x))))
#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)) y) (*.f64 z x)))
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (.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)) y) (*.f64 x z)))
#s(approx (/ (* (cosh x) (/ y x)) z) (.f64 y #s(approx (/ 1 ( (/ z (+ (* (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (* x x)) 1)) 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) z))))
#s(approx (/ (* (cosh x) (/ y x)) z) (.f64 (/.f64 (/.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)) z) x) y))
#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)))
#s(approx (/ (* (cosh x) (/ y x)) z) (.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)) z) (/.f64 y x)))
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 y (.f64 z (/.f64 x (fma.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (.f64 x x) #s(literal 1/2 binary64)) (.f64 x x) #s(literal 1 binary64))))))
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 y (.f64 (/.f64 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)))
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (.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) y) x))
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (.f64 (/.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)) z) 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)
#s(approx (/ (* (cosh x) (/ y x)) z) (.f64 y (/.f64 #s(literal 1 binary64) (.f64 (/.f64 z (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))))
#s(approx (/ (* (cosh x) (/ y x)) z) (.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) (*.f64 (/.f64 x y) z))))
#s(approx (/ (* (cosh x) (/ y x)) z) (.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)) (/.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 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)) y))))
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 #s(literal 1 binary64) (/.f64 (.f64 (neg.f64 z) x) (.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))) y))))
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 #s(literal 1 binary64) (/.f64 (.f64 (neg.f64 z) x) (.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)) (neg.f64 y)))))
(.f64 y (/.f64 (cosh.f64 x) (.f64 z x)))
(/.f64 (.f64 y (cosh.f64 x)) (.f64 z x))
(/.f64 (.f64 (cosh.f64 x) y) (.f64 z x))
(/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z)

Outputs

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

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

Calls

3 calls:

18.0ms	x
18.0ms	(*.f64 (cosh.f64 x) (/.f64 y x))
14.0ms	(/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z)

Results

Accuracy	Segments	Branch
99.3%	2	`x`
96.8%	2	`(*.f64 (cosh.f64 x) (/.f64 y x))`
96.8%	2	`(/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z)`

Compiler

Compiled 15 to 16 computations (-6.7% saved)

regimes20.0ms (0.2%)

Memory

-27.4MiB live, 49.9MiB allocated

Counts

55 → 2

Calls

Call 1

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

Outputs

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

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

Calls

1 calls:

16.0ms

Results

Accuracy	Segments	Branch
99.1%	2	`x`

Compiler

Compiled 1 to 3 computations (-200% saved)

regimes105.0ms (1%)

Memory

22.7MiB live, 179.9MiB allocated

Counts

54 → 1

Calls

Call 1

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

Outputs

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

Calls

5 calls:

37.0ms	(/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z)
18.0ms	z
17.0ms	y
15.0ms	x
14.0ms	(*.f64 (cosh.f64 x) (/.f64 y x))

Results

Accuracy	Segments	Branch
95.2%	1	`(/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z)`
95.2%	1	`(*.f64 (cosh.f64 x) (/.f64 y x))`
95.2%	1	`y`
95.2%	1	`z`
95.2%	1	`x`

Compiler

Compiled 17 to 22 computations (-29.4% saved)

regimes108.0ms (1%)

Memory

-2.4MiB live, 129.6MiB allocated

Counts

40 → 1

Calls

Call 1

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

Outputs

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

Calls

5 calls:

33.0ms	(*.f64 (cosh.f64 x) (/.f64 y x))
28.0ms	x
23.0ms	y
12.0ms	z
10.0ms	(/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z)

Results

Accuracy	Segments	Branch
95.2%	1	`(/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z)`
95.2%	1	`x`
95.2%	1	`y`
95.2%	1	`z`
95.2%	1	`(*.f64 (cosh.f64 x) (/.f64 y x))`

Compiler

Compiled 17 to 22 computations (-29.4% saved)

regimes90.0ms (0.8%)

Memory

-24.3MiB live, 138.4MiB allocated

Counts

39 → 2

Calls

Call 1

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

Outputs

#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)) y) (*.f64 z 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))

Calls

5 calls:

36.0ms	y
18.0ms	x
13.0ms	(*.f64 (cosh.f64 x) (/.f64 y x))
11.0ms	z
11.0ms	(/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z)

Results

Accuracy	Segments	Branch
95.0%	2	`x`
90.6%	1	`y`
90.6%	1	`z`
90.6%	1	`(/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z)`
90.6%	1	`(*.f64 (cosh.f64 x) (/.f64 y x))`

Compiler

Compiled 17 to 22 computations (-29.4% saved)

regimes25.0ms (0.2%)

Memory

30.5MiB live, 68.5MiB allocated

Counts

37 → 1

Calls

Call 1

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

Calls

2 calls:

13.0ms	x
11.0ms	y

Results

Accuracy	Segments	Branch
90.6%	1	`y`
90.6%	1	`x`

Compiler

Compiled 2 to 6 computations (-200% saved)

regimes53.0ms (0.5%)

Memory

-20.2MiB live, 138.4MiB allocated

Counts

32 → 2

Calls

Call 1

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

Outputs

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

Calls

5 calls:

12.0ms	x
11.0ms	z
10.0ms	y
10.0ms	(/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z)
9.0ms	(*.f64 (cosh.f64 x) (/.f64 y x))

Results

Accuracy	Segments	Branch
85.4%	2	`z`
85.2%	3	`(/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z)`
85.2%	3	`(*.f64 (cosh.f64 x) (/.f64 y x))`
89.7%	2	`x`
86.3%	3	`y`

Compiler

Compiled 17 to 22 computations (-29.4% saved)

regimes12.0ms (0.1%)

Memory

-4.7MiB live, 33.6MiB 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) (.f64 y (/.f64 #s(literal 1 binary64) #s(approx ( (/ z (+ (* (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (* x x)) 1)) x) (*.f64 z x)))))
#s(approx (/ (* (cosh x) (/ y x)) z) (.f64 (/.f64 #s(approx (+ ( (+ (* (* x x) 1/24) 1/2) (* x x)) 1) #s(literal 1 binary64)) (*.f64 z x)) y))
(/.f64 #s(approx (* (cosh x) (/ y x)) #s(approx (* (+ (* x 1/2) (/ 1 x)) y) (.f64 (.f64 x y) #s(literal 1/2 binary64)))) 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 (/.f64 #s(approx (/ (+ ( (+ (* 1/24 (* x x)) 1/2) (* x x)) 1) z) (/.f64 #s(literal 1 binary64) z)) x) y))
#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 (fma.f64 #s(approx (+ ( (* x x) 1/24) 1/2) #s(literal 1/2 binary64)) (.f64 x x) #s(literal 1 binary64)) (.f64 z x)) y))
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (.f64 (fma.f64 #s(approx (+ ( (* x x) 1/24) 1/2) #s(literal 1/2 binary64)) (.f64 x x) #s(literal 1 binary64)) y) (.f64 z x)))
(/.f64 #s(literal 1 binary64) (/.f64 z #s(approx (* (cosh x) (/ y x)) #s(approx (* (+ (* x 1/2) (/ 1 x)) y) (.f64 (.f64 y #s(literal 1/2 binary64)) x)))))
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (fma.f64 x #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) (/.f64 y z)))
(/.f64 #s(approx (* (cosh x) (/ y x)) (*.f64 (fma.f64 x #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) y)) z)
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 #s(approx (* (+ (* (* x 1/2) x) 1) y) (.f64 (.f64 (*.f64 x x) y) #s(literal 1/2 binary64))) x)) z)
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 #s(approx (* (+ (* (* x 1/2) x) 1) y) (.f64 (.f64 (*.f64 y x) x) #s(literal 1/2 binary64))) x)) z)
#s(approx (/ (* (cosh x) (/ y x)) z) (.f64 y #s(approx (/ 1 ( (/ z (+ (* (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (* x x)) 1)) x)) (/.f64 #s(approx (/ (+ (* (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (* x x)) 1) x) (/.f64 (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)) x)) z))))
#s(approx (/ (* (cosh x) (/ y x)) z) (.f64 (/.f64 #s(approx (+ ( (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (* x x)) 1) (fma.f64 (*.f64 x #s(literal 1/2 binary64)) x #s(literal 1 binary64))) z) (/.f64 y x)))
#s(approx (/ (* (cosh x) (/ y x)) z) (.f64 (/.f64 #s(approx (+ ( (+ (* (+ (* (* 1/720 x) x) 1/24) (* x x)) 1/2) (* x x)) 1) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) x #s(literal 1 binary64))) z) (/.f64 y x)))
#s(approx (/ (* (cosh x) (/ y x)) z) (.f64 (/.f64 (/.f64 #s(approx (+ ( (+ (* (+ (* (* x x) 1/720) 1/24) (* x x)) 1/2) (* x x)) 1) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) z) x) y))
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)) (/.f64 y z)) x))
(/.f64 #s(approx (* (cosh x) (/ y x)) (.f64 (/.f64 (fma.f64 (.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)) x) y)) z)
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (.f64 (fma.f64 (.f64 x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) y) x)) z)
(/.f64 #s(approx (/ (* y (cosh x)) z) (.f64 (fma.f64 (.f64 x #s(literal 1/2 binary64)) x #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 #s(literal 1/2 binary64)) x #s(literal 1 binary64)))) z) x)
#s(approx (/ (* (cosh x) (/ y x)) z) (.f64 (/.f64 (fma.f64 #s(approx (+ ( (* x x) 1/24) 1/2) (.f64 #s(literal 1/24 binary64) (.f64 x x))) (.f64 x x) #s(literal 1 binary64)) (.f64 z x)) y))
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (.f64 (fma.f64 #s(approx (+ ( (* x x) 1/24) 1/2) (.f64 #s(literal 1/24 binary64) (.f64 x x))) (.f64 x x) #s(literal 1 binary64)) y) (.f64 z x)))
#s(approx (/ (* (cosh x) (/ y x)) z) (.f64 #s(approx (/ (+ ( (+ (* (* x x) 1/24) 1/2) (* x x)) 1) (* z x)) (.f64 x (fma.f64 (/.f64 (.f64 x x) z) #s(literal 1/24 binary64) (/.f64 #s(literal 1/2 binary64) z)))) y))
#s(approx (/ (* (cosh x) (/ y x)) z) (.f64 (/.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/24 binary64) x) x #s(literal 1/2 binary64)) (.f64 x x) #s(literal 1 binary64)) (.f64 z x)) y))
#s(approx (/ (* (cosh x) (/ y 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)) (.f64 z x)) y))

Outputs

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

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

Calls

1 calls:

10.0ms

Results

Accuracy	Segments	Branch
89.3%	2	`x`

Compiler

Compiled 1 to 3 computations (-200% saved)

regimes13.0ms (0.1%)

Memory

-9.2MiB live, 33.5MiB 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) (.f64 y (/.f64 #s(literal 1 binary64) #s(approx ( (/ z (+ (* (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (* x x)) 1)) x) (*.f64 z x)))))
#s(approx (/ (* (cosh x) (/ y x)) z) (.f64 (/.f64 #s(approx (+ ( (+ (* (* x x) 1/24) 1/2) (* x x)) 1) #s(literal 1 binary64)) (*.f64 z x)) y))
(/.f64 #s(approx (* (cosh x) (/ y x)) #s(approx (* (+ (* x 1/2) (/ 1 x)) y) (.f64 (.f64 x y) #s(literal 1/2 binary64)))) 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 (/.f64 #s(approx (/ (+ ( (+ (* 1/24 (* x x)) 1/2) (* x x)) 1) z) (/.f64 #s(literal 1 binary64) z)) x) y))
#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 (fma.f64 #s(approx (+ ( (* x x) 1/24) 1/2) #s(literal 1/2 binary64)) (.f64 x x) #s(literal 1 binary64)) (.f64 z x)) y))
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (.f64 (fma.f64 #s(approx (+ ( (* x x) 1/24) 1/2) #s(literal 1/2 binary64)) (.f64 x x) #s(literal 1 binary64)) y) (.f64 z x)))
(/.f64 #s(literal 1 binary64) (/.f64 z #s(approx (* (cosh x) (/ y x)) #s(approx (* (+ (* x 1/2) (/ 1 x)) y) (.f64 (.f64 y #s(literal 1/2 binary64)) x)))))
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (fma.f64 x #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) (/.f64 y z)))
(/.f64 #s(approx (* (cosh x) (/ y x)) (*.f64 (fma.f64 x #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) y)) z)
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 #s(approx (* (+ (* (* x 1/2) x) 1) y) (.f64 (.f64 (*.f64 x x) y) #s(literal 1/2 binary64))) x)) z)
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 #s(approx (* (+ (* (* x 1/2) x) 1) y) (.f64 (.f64 (*.f64 y x) x) #s(literal 1/2 binary64))) x)) z)
#s(approx (/ (* (cosh x) (/ y x)) z) (.f64 y #s(approx (/ 1 ( (/ z (+ (* (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (* x x)) 1)) x)) (/.f64 #s(approx (/ (+ (* (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (* x x)) 1) x) (/.f64 (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)) x)) z))))
#s(approx (/ (* (cosh x) (/ y x)) z) (.f64 (/.f64 #s(approx (+ ( (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (* x x)) 1) (fma.f64 (*.f64 x #s(literal 1/2 binary64)) x #s(literal 1 binary64))) z) (/.f64 y x)))
#s(approx (/ (* (cosh x) (/ y x)) z) (.f64 (/.f64 #s(approx (+ ( (+ (* (+ (* (* 1/720 x) x) 1/24) (* x x)) 1/2) (* x x)) 1) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) x #s(literal 1 binary64))) z) (/.f64 y x)))
#s(approx (/ (* (cosh x) (/ y x)) z) (.f64 (/.f64 (/.f64 #s(approx (+ ( (+ (* (+ (* (* x x) 1/720) 1/24) (* x x)) 1/2) (* x x)) 1) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) z) x) y))
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)) (/.f64 y z)) x))
(/.f64 #s(approx (* (cosh x) (/ y x)) (.f64 (/.f64 (fma.f64 (.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)) x) y)) z)
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (.f64 (fma.f64 (.f64 x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) y) x)) z)
(/.f64 #s(approx (/ (* y (cosh x)) z) (.f64 (fma.f64 (.f64 x #s(literal 1/2 binary64)) x #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 #s(literal 1/2 binary64)) x #s(literal 1 binary64)))) z) x)
#s(approx (/ (* (cosh x) (/ y x)) z) (.f64 (/.f64 (fma.f64 #s(approx (+ ( (* x x) 1/24) 1/2) (.f64 #s(literal 1/24 binary64) (.f64 x x))) (.f64 x x) #s(literal 1 binary64)) (.f64 z x)) y))
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (.f64 (fma.f64 #s(approx (+ ( (* x x) 1/24) 1/2) (.f64 #s(literal 1/24 binary64) (.f64 x x))) (.f64 x x) #s(literal 1 binary64)) y) (.f64 z x)))

Outputs

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

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

Calls

1 calls:

8.0ms

Results

Accuracy	Segments	Branch
89.2%	2	`x`

Compiler

Compiled 1 to 3 computations (-200% saved)

regimes9.0ms (0.1%)

Memory

29.0MiB live, 29.0MiB 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) (.f64 y (/.f64 #s(literal 1 binary64) #s(approx ( (/ z (+ (* (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (* x x)) 1)) x) (*.f64 z x)))))
#s(approx (/ (* (cosh x) (/ y x)) z) (.f64 (/.f64 #s(approx (+ ( (+ (* (* x x) 1/24) 1/2) (* x x)) 1) #s(literal 1 binary64)) (*.f64 z x)) y))
(/.f64 #s(approx (* (cosh x) (/ y x)) #s(approx (* (+ (* x 1/2) (/ 1 x)) y) (.f64 (.f64 x y) #s(literal 1/2 binary64)))) 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 (/.f64 #s(approx (/ (+ ( (+ (* 1/24 (* x x)) 1/2) (* x x)) 1) z) (/.f64 #s(literal 1 binary64) z)) x) y))
#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 (fma.f64 #s(approx (+ ( (* x x) 1/24) 1/2) #s(literal 1/2 binary64)) (.f64 x x) #s(literal 1 binary64)) (.f64 z x)) y))
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (.f64 (fma.f64 #s(approx (+ ( (* x x) 1/24) 1/2) #s(literal 1/2 binary64)) (.f64 x x) #s(literal 1 binary64)) y) (.f64 z x)))
(/.f64 #s(literal 1 binary64) (/.f64 z #s(approx (* (cosh x) (/ y x)) #s(approx (* (+ (* x 1/2) (/ 1 x)) y) (.f64 (.f64 y #s(literal 1/2 binary64)) x)))))
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (fma.f64 x #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) (/.f64 y z)))
(/.f64 #s(approx (* (cosh x) (/ y x)) (*.f64 (fma.f64 x #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) y)) z)
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 #s(approx (* (+ (* (* x 1/2) x) 1) y) (.f64 (.f64 (*.f64 x x) y) #s(literal 1/2 binary64))) x)) z)
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 #s(approx (* (+ (* (* x 1/2) x) 1) y) (.f64 (.f64 (*.f64 y x) x) #s(literal 1/2 binary64))) x)) z)
#s(approx (/ (* (cosh x) (/ y x)) z) (.f64 y #s(approx (/ 1 ( (/ z (+ (* (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (* x x)) 1)) x)) (/.f64 #s(approx (/ (+ (* (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (* x x)) 1) x) (/.f64 (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)) x)) z))))
#s(approx (/ (* (cosh x) (/ y x)) z) (.f64 (/.f64 #s(approx (+ ( (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (* x x)) 1) (fma.f64 (*.f64 x #s(literal 1/2 binary64)) x #s(literal 1 binary64))) z) (/.f64 y x)))
#s(approx (/ (* (cosh x) (/ y x)) z) (.f64 (/.f64 #s(approx (+ ( (+ (* (+ (* (* 1/720 x) x) 1/24) (* x x)) 1/2) (* x x)) 1) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) x #s(literal 1 binary64))) z) (/.f64 y x)))
#s(approx (/ (* (cosh x) (/ y x)) z) (.f64 (/.f64 (/.f64 #s(approx (+ ( (+ (* (+ (* (* x x) 1/720) 1/24) (* x x)) 1/2) (* x x)) 1) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) z) x) y))
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)) (/.f64 y z)) x))
(/.f64 #s(approx (* (cosh x) (/ y x)) (.f64 (/.f64 (fma.f64 (.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)) x) y)) z)
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (.f64 (fma.f64 (.f64 x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) y) x)) z)
(/.f64 #s(approx (/ (* y (cosh x)) z) (.f64 (fma.f64 (.f64 x #s(literal 1/2 binary64)) x #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 #s(literal 1/2 binary64)) x #s(literal 1 binary64)))) z) x)
#s(approx (/ (* (cosh x) (/ y x)) z) (.f64 (/.f64 (fma.f64 #s(approx (+ ( (* x x) 1/24) 1/2) (.f64 #s(literal 1/24 binary64) (.f64 x x))) (.f64 x x) #s(literal 1 binary64)) (.f64 z x)) y))

Outputs

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

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

Calls

1 calls:

8.0ms

Results

Accuracy	Segments	Branch
87.5%	2	`x`

Compiler

Compiled 1 to 3 computations (-200% saved)

regimes43.0ms (0.4%)

Memory

3.5MiB live, 119.1MiB allocated

Counts

25 → 2

Calls

Call 1

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

Outputs

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

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

Calls

5 calls:

9.0ms	x
9.0ms	z
8.0ms	(/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z)
8.0ms	y
7.0ms	(*.f64 (cosh.f64 x) (/.f64 y x))

Results

Accuracy	Segments	Branch
82.6%	2	`(*.f64 (cosh.f64 x) (/.f64 y x))`
82.6%	2	`(/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z)`
83.6%	2	`y`
80.7%	1	`z`
80.7%	1	`x`

Compiler

Compiled 17 to 22 computations (-29.4% saved)

regimes37.0ms (0.3%)

Memory

1.4MiB live, 82.6MiB allocated

Counts

24 → 1

Calls

Call 1

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

Calls

4 calls:

14.0ms	y
7.0ms	(*.f64 (cosh.f64 x) (/.f64 y x))
7.0ms	z
7.0ms	(/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z)

Results

Accuracy	Segments	Branch
80.7%	1	`z`
80.7%	1	`(*.f64 (cosh.f64 x) (/.f64 y x))`
80.7%	1	`(/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z)`
80.7%	1	`y`

Compiler

Compiled 16 to 19 computations (-18.8% saved)

regimes38.0ms (0.4%)

Memory

-7.6MiB live, 109.1MiB allocated

Counts

18 → 2

Calls

Call 1

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

Outputs

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

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

Calls

5 calls:

11.0ms	x
8.0ms	z
7.0ms	(/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z)
6.0ms	y
5.0ms	(*.f64 (cosh.f64 x) (/.f64 y x))

Results

Accuracy	Segments	Branch
80.7%	2	`x`
78.8%	1	`y`
78.8%	1	`(/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z)`
78.8%	1	`(*.f64 (cosh.f64 x) (/.f64 y x))`
78.8%	1	`z`

Compiler

Compiled 17 to 22 computations (-29.4% saved)

regimes9.0ms (0.1%)

Memory

-16.0MiB live, 20.5MiB allocated

Counts

15 → 2

Calls

Call 1

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

Outputs

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

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

Calls

1 calls:

8.0ms

Results

Accuracy	Segments	Branch
80.7%	2	`x`

Compiler

Compiled 1 to 3 computations (-200% saved)

regimes25.0ms (0.2%)

Memory

22.9MiB live, 101.7MiB allocated

Counts

13 → 2

Calls

Call 1

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

Outputs

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

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

Calls

5 calls:

6.0ms	z
5.0ms	(*.f64 (cosh.f64 x) (/.f64 y x))
5.0ms	x
5.0ms	y
4.0ms	(/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z)

Results

Accuracy	Segments	Branch
68.0%	1	`y`
68.0%	1	`z`
68.0%	1	`(/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z)`
68.0%	1	`(*.f64 (cosh.f64 x) (/.f64 y x))`
71.7%	2	`x`

Compiler

Compiled 17 to 22 computations (-29.4% saved)

regimes4.0ms (0%)

Memory

14.1MiB live, 14.1MiB allocated

Counts

9 → 2

Calls

Call 1

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

Outputs

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

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

Calls

1 calls:

3.0ms

Results

Accuracy	Segments	Branch
70.7%	2	`x`

Compiler

Compiled 1 to 3 computations (-200% saved)

regimes18.0ms (0.2%)

Memory

-29.1MiB live, 57.5MiB allocated

Counts

8 → 2

Calls

Call 1

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

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

Calls

5 calls:

4.0ms	x
4.0ms	z
3.0ms	y
3.0ms	(*.f64 (cosh.f64 x) (/.f64 y x))
3.0ms	(/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z)

Results

Accuracy	Segments	Branch
55.4%	2	`y`
55.4%	2	`z`
55.4%	2	`(/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z)`
57.0%	2	`(*.f64 (cosh.f64 x) (/.f64 y x))`
68.2%	2	`x`

Compiler

Compiled 17 to 22 computations (-29.4% saved)

regimes42.0ms (0.4%)

Memory

-15.5MiB live, 24.1MiB allocated

Accuracy

Total -0.2b remaining (-0.5%)

Threshold costs -0.2b (-0.5%)

Counts

3 → 1

Calls

Call 1

Inputs

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

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

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

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

Calls

5 calls:

35.0ms	y
2.0ms	z
2.0ms	x
2.0ms	(/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z)
2.0ms	(*.f64 (cosh.f64 x) (/.f64 y x))

Results

Accuracy	Segments	Branch
50.4%	1	`y`
50.4%	1	`z`
50.4%	1	`(/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z)`
50.4%	1	`(*.f64 (cosh.f64 x) (/.f64 y x))`
50.4%	1	`x`

Compiler

Compiled 17 to 22 computations (-29.4% saved)

bsearch1.0ms (0%)

Memory

1.3MiB live, 1.3MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	1.8412011402284983e+36	1.4521135389718257e+37

Compiler

Compiled 11 to 13 computations (-18.2% saved)

bsearch15.0ms (0.1%)

Memory

30.5MiB live, 30.5MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
14.0ms	1.9685970318092753e+41	4.782300722215344e+46

Samples

8.0ms

144×

valid

Compiler

Compiled 299 to 238 computations (20.4% saved)

Precisions

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

ival-div: 2.0ms (45.7% of total)

ival-cosh: 2.0ms (45.7% of total)

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

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

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

bsearch2.0ms (0%)

Memory

3.8MiB live, 3.8MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
1.0ms	1.9685970318092753e+41	4.782300722215344e+46

Compiler

Compiled 299 to 238 computations (20.4% saved)

bsearch7.0ms (0.1%)

Memory

-22.3MiB live, 16.9MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
7.0ms	2.7885513053140204e+76	3.4449879718754065e+76

Samples

5.0ms

48×

valid

Compiler

Compiled 134 to 103 computations (23.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 3.0ms

ival-div: 3.0ms (86.1% of total)

ival-cosh: 1.0ms (28.7% of total)

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

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

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

bsearch16.0ms (0.2%)

Memory

-4.8MiB live, 35.0MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
15.0ms	2.9841939760934312e+122	2.3952942944932777e+126

Samples

9.0ms

128×

valid

Compiler

Compiled 283 to 245 computations (13.4% saved)

Precisions

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

ival-div: 2.0ms (51.4% of total)

ival-mult: 1.0ms (25.7% of total)

ival-cosh: 1.0ms (25.7% of total)

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

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

bsearch2.0ms (0%)

Memory

4.0MiB live, 4.0MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
1.0ms	2.9841939760934312e+122	2.3952942944932777e+126

Compiler

Compiled 283 to 237 computations (16.3% saved)

bsearch4.0ms (0%)

Memory

11.1MiB live, 11.1MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
3.0ms	9.732128952335887e+145	1.1404573107190507e+146

Samples

2.0ms

32×

valid

Compiler

Compiled 75 to 67 computations (10.7% saved)

Precisions

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

ival-div: 0.0ms (0% 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

2.1MiB live, 2.1MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
0.0ms	9.732128952335887e+145	1.1404573107190507e+146

Compiler

Compiled 75 to 67 computations (10.7% saved)

bsearch8.0ms (0.1%)

Memory

-14.8MiB live, 23.5MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	predicate-same

Steps

Time	Left	Right
7.0ms	2.0315033335157957e+40	3.722924046204308e+42

Samples

5.0ms

64×

valid

Compiler

Compiled 119 to 113 computations (5% saved)

Precisions

Click to see histograms. Total time spent on operations: 3.0ms

ival-cosh: 2.0ms (61.8% of total)

ival-div: 1.0ms (30.9% of total)

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

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

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

bsearch5.0ms (0%)

Memory

15.4MiB live, 15.4MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	predicate-same

Steps

Time	Left	Right
5.0ms	1.0626913531030139e+49	1.5298446830349687e+51

Samples

3.0ms

48×

valid

Compiler

Compiled 95 to 91 computations (4.2% saved)

Precisions

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

ival-div: 1.0ms (65.1% of total)

ival-cosh: 1.0ms (65.1% of total)

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

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

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

bsearch1.0ms (0%)

Memory

2.3MiB live, 2.3MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	predicate-same

Steps

Time	Left	Right
0.0ms	1.0626913531030139e+49	1.5298446830349687e+51

Compiler

Compiled 92 to 88 computations (4.3% saved)

bsearch16.0ms (0.1%)

Memory

1.0MiB live, 40.2MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
15.0ms	2.8146105673272277e+234	1.3294432412571229e+242

Samples

9.0ms

144×

valid

Compiler

Compiled 218 to 220 computations (-0.9% saved)

Precisions

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

ival-div: 3.0ms (55.3% of total)

ival-cosh: 2.0ms (36.9% of total)

ival-mult: 1.0ms (18.4% of total)

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

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

bsearch1.0ms (0%)

Memory

4.1MiB live, 4.1MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
1.0ms	2.8146105673272277e+234	1.3294432412571229e+242

Compiler

Compiled 218 to 220 computations (-0.9% saved)

bsearch13.0ms (0.1%)

Memory

-5.7MiB live, 33.3MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
12.0ms	0.0013049366656216603	0.08758255981738476

Samples

8.0ms

112×

valid

Compiler

Compiled 116 to 132 computations (-13.8% saved)

Precisions

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

ival-cosh: 3.0ms (58% of total)

ival-div: 2.0ms (38.6% of total)

ival-mult: 1.0ms (19.3% of total)

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

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

simplify31.0ms (0.3%)

Memory

-15.1MiB live, 75.4MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	176	1096
1	205	1096

Stop Event

1×

saturated

Calls

Call 1

Inputs
(if (<=.f64 (/.f64 (.f64 (cosh.f64 x) (/.f64 y x)) z) #s(literal 2000000000000000084841274748035923968 binary64)) #s(approx (/ ( (cosh x) (/ y x)) z) (/.f64 y (.f64 (/.f64 z (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))) (/.f64 (/.f64 (.f64 y (cosh.f64 x)) z) x))
(if (<=.f64 x #s(literal 46999999999999996381679934096113556962569879552 binary64)) (/.f64 (.f64 y (cosh.f64 x)) (.f64 z x)) #s(approx (/ (* (cosh x) (/ y x)) z) (.f64 y #s(approx (/ 1 ( (/ z (+ (* (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (* x x)) 1)) 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) z)))))
(if (<=.f64 x #s(literal 46999999999999996381679934096113556962569879552 binary64)) (.f64 y (/.f64 (cosh.f64 x) (.f64 z x))) #s(approx (/ (* (cosh x) (/ y x)) z) (.f64 y #s(approx (/ 1 ( (/ z (+ (* (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (* x x)) 1)) 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) z)))))
#s(approx (/ (* (cosh x) (/ y x)) z) (.f64 (/.f64 (/.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)) z) x) y))
#s(approx (/ (* (cosh x) (/ y x)) z) (.f64 y #s(approx (/ 1 ( (/ z (+ (* (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (* x x)) 1)) 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) z))))
(if (<=.f64 x #s(literal 33999999999999997100618048935613194513808786231491257536379229826834109562880 binary64)) #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)) y) (.f64 z 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)))
#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 x #s(literal 1049999999999999958687831024323857790903593961955972822522108053369676841291238222448666070284693631858290535490637557407940608 binary64)) #s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/24 binary64) 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 #s(approx (/ (+ ( (+ (* (* x x) 1/24) 1/2) (* x x)) 1) (* z x)) (.f64 x (fma.f64 (/.f64 (.f64 x x) z) #s(literal 1/24 binary64) (/.f64 #s(literal 1/2 binary64) z)))) y)))
(if (<=.f64 x #s(literal 1049999999999999958687831024323857790903593961955972822522108053369676841291238222448666070284693631858290535490637557407940608 binary64)) #s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (.f64 (fma.f64 #s(approx (+ ( (* x x) 1/24) 1/2) (.f64 #s(literal 1/24 binary64) (.f64 x x))) (.f64 x x) #s(literal 1 binary64)) y) (.f64 z x))) #s(approx (/ (* (cosh x) (/ y x)) z) (.f64 #s(approx (/ (+ ( (+ (* (* x x) 1/24) 1/2) (* x x)) 1) (* z x)) (.f64 x (fma.f64 (/.f64 (.f64 x x) z) #s(literal 1/24 binary64) (/.f64 #s(literal 1/2 binary64) z)))) y)))
(if (<=.f64 x #s(literal 109999999999999990481567647673056578659390316435163838087668943984528600878774097793531317454157061554340029899111758592250727492547282221316177920 binary64)) #s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (.f64 (fma.f64 #s(approx (+ ( (* x x) 1/24) 1/2) (.f64 #s(literal 1/24 binary64) (.f64 x x))) (.f64 x x) #s(literal 1 binary64)) y) (.f64 z x))) #s(approx (/ (* (cosh x) (/ y x)) z) (.f64 (/.f64 (/.f64 #s(approx (+ ( (+ (* (+ (* (* x x) 1/720) 1/24) (* x x)) 1/2) (* x x)) 1) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) z) x) y)))
(if (<=.f64 x #s(literal 109999999999999990481567647673056578659390316435163838087668943984528600878774097793531317454157061554340029899111758592250727492547282221316177920 binary64)) #s(approx (/ (* (cosh x) (/ y x)) z) (.f64 (/.f64 (fma.f64 #s(approx (+ ( (* x x) 1/24) 1/2) (.f64 #s(literal 1/24 binary64) (.f64 x x))) (.f64 x x) #s(literal 1 binary64)) (.f64 z x)) y)) #s(approx (/ (* (cosh x) (/ y x)) z) (.f64 (/.f64 (/.f64 #s(approx (+ ( (+ (* (+ (* (* x x) 1/720) 1/24) (* x x)) 1/2) (* x x)) 1) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) z) x) y)))
(if (<=.f64 y #s(literal 30000000000000002120283904895640175378432 binary64)) #s(approx (/ (* (cosh x) (/ y x)) z) (.f64 (/.f64 (/.f64 #s(approx (+ ( (+ (* (+ (* (* x x) 1/720) 1/24) (* x x)) 1/2) (* x x)) 1) (fma.f64 (.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) z) x) y)) (/.f64 (/.f64 (.f64 y #s(approx (cosh x) (fma.f64 (*.f64 x #s(literal 1/2 binary64)) x #s(literal 1 binary64)))) z) x))
#s(approx (/ (* (cosh x) (/ y x)) z) (.f64 (/.f64 (/.f64 #s(approx (+ ( (+ (* (+ (* (* x x) 1/720) 1/24) (* x x)) 1/2) (* x x)) 1) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) z) x) y))
(if (<=.f64 x #s(literal 50000000000000003814884920545943501647482485473280 binary64)) #s(approx (/ (* (cosh x) (/ y x)) z) (.f64 y #s(approx (/ 1 ( (/ z (+ (* (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (* x x)) 1)) x)) (/.f64 #s(approx (/ (+ (* (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (* x x)) 1) x) (/.f64 (fma.f64 (.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)) x)) z)))) (/.f64 #s(approx ( (cosh x) (/ y x)) (/.f64 #s(approx (* (+ (* (* x 1/2) x) 1) y) (.f64 (.f64 (*.f64 x x) y) #s(literal 1/2 binary64))) x)) z))
(if (<=.f64 x #s(literal 50000000000000003814884920545943501647482485473280 binary64)) #s(approx (/ (* (cosh x) (/ y x)) z) (.f64 (/.f64 (fma.f64 #s(approx (+ ( (* x x) 1/24) 1/2) #s(literal 1/2 binary64)) (.f64 x x) #s(literal 1 binary64)) (.f64 z x)) y)) (/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 #s(approx (* (+ (* (* x 1/2) x) 1) y) (.f64 (.f64 (*.f64 x x) y) #s(literal 1/2 binary64))) x)) z))
(if (<=.f64 x #s(literal 22499999999999998925728219608435235753992753661780675055564644092180426079702220174232920045132342120985241303913234646814754640940287472403500056529069586830824450250497333334901881486362613829883607228806946861324366072800345646801354752 binary64)) #s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (.f64 (fma.f64 #s(approx (+ ( (* x x) 1/24) 1/2) #s(literal 1/2 binary64)) (.f64 x x) #s(literal 1 binary64)) y) (.f64 z x))) (/.f64 #s(approx (* (cosh x) (/ y x)) #s(approx (* (+ (* x 1/2) (/ 1 x)) y) (.f64 (.f64 x y) #s(literal 1/2 binary64)))) z))
(if (<=.f64 x #s(literal 22499999999999998925728219608435235753992753661780675055564644092180426079702220174232920045132342120985241303913234646814754640940287472403500056529069586830824450250497333334901881486362613829883607228806946861324366072800345646801354752 binary64)) #s(approx (/ (* (cosh x) (/ y x)) z) (.f64 (/.f64 (fma.f64 #s(approx (+ ( (* x x) 1/24) 1/2) #s(literal 1/2 binary64)) (.f64 x x) #s(literal 1 binary64)) (.f64 z x)) y)) (/.f64 #s(approx (* (cosh x) (/ y x)) #s(approx (* (+ (* x 1/2) (/ 1 x)) y) (.f64 (.f64 x y) #s(literal 1/2 binary64)))) z))
(if (<=.f64 x #s(literal 6124895493223875/72057594037927936 binary64)) #s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 y (.f64 z x))) (/.f64 #s(approx ( (cosh x) (/ y x)) #s(approx (* (+ (* x 1/2) (/ 1 x)) y) (.f64 (.f64 x y) #s(literal 1/2 binary64)))) z))
#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 2000000000000000084841274748035923968 binary64)) #s(approx (/ ( (cosh x) (/ y x)) z) (/.f64 y (.f64 (/.f64 z (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))) (/.f64 (/.f64 (.f64 y (cosh.f64 x)) z) x))
(if (<=.f64 (/.f64 (.f64 (/.f64 y x) (cosh.f64 x)) z) #s(literal 2000000000000000084841274748035923968 binary64)) #s(approx (/ ( (cosh x) (/ y x)) z) (/.f64 y (.f64 (/.f64 z (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))) (/.f64 (/.f64 (.f64 y (cosh.f64 x)) z) x))
(if (<=.f64 x #s(literal 46999999999999996381679934096113556962569879552 binary64)) (/.f64 (.f64 y (cosh.f64 x)) (.f64 z x)) #s(approx (/ (* (cosh x) (/ y x)) z) (.f64 y #s(approx (/ 1 ( (/ z (+ (* (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (* x x)) 1)) 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) z)))))
(if (<=.f64 x #s(literal 46999999999999996381679934096113556962569879552 binary64)) (/.f64 (.f64 y (cosh.f64 x)) (.f64 z x)) #s(approx (/ (* (cosh x) (/ y x)) z) (.f64 #s(approx (/ 1 ( (/ z (+ (* (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (* x x)) 1)) 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) z)) y)))
(if (<=.f64 x #s(literal 46999999999999996381679934096113556962569879552 binary64)) (.f64 y (/.f64 (cosh.f64 x) (.f64 z x))) #s(approx (/ (* (cosh x) (/ y x)) z) (.f64 y #s(approx (/ 1 ( (/ z (+ (* (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (* x x)) 1)) 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) z)))))
(if (<=.f64 x #s(literal 46999999999999996381679934096113556962569879552 binary64)) (.f64 (/.f64 (cosh.f64 x) (.f64 z x)) y) #s(approx (/ (* (cosh x) (/ y x)) z) (.f64 #s(approx (/ 1 ( (/ z (+ (* (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (* x x)) 1)) 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) z)) y)))
#s(approx (/ (* (cosh x) (/ y x)) z) (.f64 (/.f64 (/.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)) z) x) y))
#s(approx (/ (* (cosh x) (/ y x)) z) (.f64 y #s(approx (/ 1 ( (/ z (+ (* (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (* x x)) 1)) 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) z))))
#s(approx (/ (* (cosh x) (/ y x)) z) (.f64 #s(approx (/ 1 ( (/ z (+ (* (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (* x x)) 1)) 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) z)) y))
(if (<=.f64 x #s(literal 33999999999999997100618048935613194513808786231491257536379229826834109562880 binary64)) #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)) y) (.f64 z 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)))
#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 x #s(literal 1049999999999999958687831024323857790903593961955972822522108053369676841291238222448666070284693631858290535490637557407940608 binary64)) #s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/24 binary64) 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 #s(approx (/ (+ ( (+ (* (* x x) 1/24) 1/2) (* x x)) 1) (* z x)) (.f64 x (fma.f64 (/.f64 (.f64 x x) z) #s(literal 1/24 binary64) (/.f64 #s(literal 1/2 binary64) z)))) y)))
(if (<=.f64 x #s(literal 1049999999999999958687831024323857790903593961955972822522108053369676841291238222448666070284693631858290535490637557407940608 binary64)) #s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/24 binary64) 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 #s(approx (/ (+ ( (+ (* (* x x) 1/24) 1/2) (* x x)) 1) (* z x)) (.f64 (fma.f64 (/.f64 (.f64 x x) z) #s(literal 1/24 binary64) (/.f64 #s(literal 1/2 binary64) z)) x)) y)))
(if (<=.f64 x #s(literal 1049999999999999958687831024323857790903593961955972822522108053369676841291238222448666070284693631858290535490637557407940608 binary64)) #s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (.f64 (fma.f64 #s(approx (+ ( (* x x) 1/24) 1/2) (.f64 #s(literal 1/24 binary64) (.f64 x x))) (.f64 x x) #s(literal 1 binary64)) y) (.f64 z x))) #s(approx (/ (* (cosh x) (/ y x)) z) (.f64 #s(approx (/ (+ ( (+ (* (* x x) 1/24) 1/2) (* x x)) 1) (* z x)) (.f64 x (fma.f64 (/.f64 (.f64 x x) z) #s(literal 1/24 binary64) (/.f64 #s(literal 1/2 binary64) z)))) y)))
(if (<=.f64 x #s(literal 1049999999999999958687831024323857790903593961955972822522108053369676841291238222448666070284693631858290535490637557407940608 binary64)) #s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (.f64 (fma.f64 #s(approx (+ ( (* x x) 1/24) 1/2) (.f64 #s(literal 1/24 binary64) (.f64 x x))) (.f64 x x) #s(literal 1 binary64)) y) (.f64 z x))) #s(approx (/ (* (cosh x) (/ y x)) z) (.f64 #s(approx (/ (+ ( (+ (* (* x x) 1/24) 1/2) (* x x)) 1) (* z x)) (.f64 (fma.f64 (/.f64 (.f64 x x) z) #s(literal 1/24 binary64) (/.f64 #s(literal 1/2 binary64) z)) x)) y)))
(if (<=.f64 x #s(literal 109999999999999990481567647673056578659390316435163838087668943984528600878774097793531317454157061554340029899111758592250727492547282221316177920 binary64)) #s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (.f64 (fma.f64 #s(approx (+ ( (* x x) 1/24) 1/2) (.f64 #s(literal 1/24 binary64) (.f64 x x))) (.f64 x x) #s(literal 1 binary64)) y) (.f64 z x))) #s(approx (/ (* (cosh x) (/ y x)) z) (.f64 (/.f64 (/.f64 #s(approx (+ ( (+ (* (+ (* (* x x) 1/720) 1/24) (* x x)) 1/2) (* x x)) 1) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) z) x) y)))
(if (<=.f64 x #s(literal 109999999999999990481567647673056578659390316435163838087668943984528600878774097793531317454157061554340029899111758592250727492547282221316177920 binary64)) #s(approx (/ (* (cosh x) (/ y x)) z) (.f64 (/.f64 (fma.f64 #s(approx (+ ( (* x x) 1/24) 1/2) (.f64 #s(literal 1/24 binary64) (.f64 x x))) (.f64 x x) #s(literal 1 binary64)) (.f64 z x)) y)) #s(approx (/ (* (cosh x) (/ y x)) z) (.f64 (/.f64 (/.f64 #s(approx (+ ( (+ (* (+ (* (* x x) 1/720) 1/24) (* x x)) 1/2) (* x x)) 1) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) z) x) y)))
(if (<=.f64 y #s(literal 30000000000000002120283904895640175378432 binary64)) #s(approx (/ (* (cosh x) (/ y x)) z) (.f64 (/.f64 (/.f64 #s(approx (+ ( (+ (* (+ (* (* x x) 1/720) 1/24) (* x x)) 1/2) (* x x)) 1) (fma.f64 (.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) z) x) y)) (/.f64 (/.f64 (.f64 y #s(approx (cosh x) (fma.f64 (*.f64 x #s(literal 1/2 binary64)) x #s(literal 1 binary64)))) z) x))
(if (<=.f64 y #s(literal 30000000000000002120283904895640175378432 binary64)) #s(approx (/ (* (cosh x) (/ y x)) z) (.f64 (/.f64 (/.f64 #s(approx (+ ( (+ (* (+ (* (* x x) 1/720) 1/24) (* x x)) 1/2) (* x x)) 1) (fma.f64 (.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) z) x) y)) (/.f64 (/.f64 (.f64 #s(approx (cosh x) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) x #s(literal 1 binary64))) y) z) x))
#s(approx (/ (* (cosh x) (/ y x)) z) (.f64 (/.f64 (/.f64 #s(approx (+ ( (+ (* (+ (* (* x x) 1/720) 1/24) (* x x)) 1/2) (* x x)) 1) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) z) x) y))
(if (<=.f64 x #s(literal 50000000000000003814884920545943501647482485473280 binary64)) #s(approx (/ (* (cosh x) (/ y x)) z) (.f64 y #s(approx (/ 1 ( (/ z (+ (* (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (* x x)) 1)) x)) (/.f64 #s(approx (/ (+ (* (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (* x x)) 1) x) (/.f64 (fma.f64 (.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)) x)) z)))) (/.f64 #s(approx ( (cosh x) (/ y x)) (/.f64 #s(approx (* (+ (* (* x 1/2) x) 1) y) (.f64 (.f64 (*.f64 x x) y) #s(literal 1/2 binary64))) x)) z))
(if (<=.f64 x #s(literal 50000000000000003814884920545943501647482485473280 binary64)) #s(approx (/ (* (cosh x) (/ y x)) z) (.f64 #s(approx (/ 1 ( (/ z (+ (* (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (* x x)) 1)) x)) (/.f64 #s(approx (/ (+ (* (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (* x x)) 1) x) (/.f64 (fma.f64 (.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)) x)) z)) y)) (/.f64 #s(approx ( (cosh x) (/ y x)) (/.f64 #s(approx (* (+ (* (* x 1/2) x) 1) y) (.f64 (.f64 (*.f64 x x) y) #s(literal 1/2 binary64))) x)) z))
(if (<=.f64 x #s(literal 50000000000000003814884920545943501647482485473280 binary64)) #s(approx (/ (* (cosh x) (/ y x)) z) (.f64 (/.f64 (fma.f64 #s(approx (+ ( (* x x) 1/24) 1/2) #s(literal 1/2 binary64)) (.f64 x x) #s(literal 1 binary64)) (.f64 z x)) y)) (/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 #s(approx (* (+ (* (* x 1/2) x) 1) y) (.f64 (.f64 (*.f64 x x) y) #s(literal 1/2 binary64))) x)) z))
(if (<=.f64 x #s(literal 22499999999999998925728219608435235753992753661780675055564644092180426079702220174232920045132342120985241303913234646814754640940287472403500056529069586830824450250497333334901881486362613829883607228806946861324366072800345646801354752 binary64)) #s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (.f64 (fma.f64 #s(approx (+ ( (* x x) 1/24) 1/2) #s(literal 1/2 binary64)) (.f64 x x) #s(literal 1 binary64)) y) (.f64 z x))) (/.f64 #s(approx (* (cosh x) (/ y x)) #s(approx (* (+ (* x 1/2) (/ 1 x)) y) (.f64 (.f64 x y) #s(literal 1/2 binary64)))) z))
(if (<=.f64 x #s(literal 22499999999999998925728219608435235753992753661780675055564644092180426079702220174232920045132342120985241303913234646814754640940287472403500056529069586830824450250497333334901881486362613829883607228806946861324366072800345646801354752 binary64)) #s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (.f64 (fma.f64 #s(approx (+ ( (* x x) 1/24) 1/2) #s(literal 1/2 binary64)) (.f64 x x) #s(literal 1 binary64)) y) (.f64 z x))) (/.f64 #s(approx (* (cosh x) (/ y x)) #s(approx (* (+ (* x 1/2) (/ 1 x)) y) (.f64 (.f64 y x) #s(literal 1/2 binary64)))) z))
(if (<=.f64 x #s(literal 22499999999999998925728219608435235753992753661780675055564644092180426079702220174232920045132342120985241303913234646814754640940287472403500056529069586830824450250497333334901881486362613829883607228806946861324366072800345646801354752 binary64)) #s(approx (/ (* (cosh x) (/ y x)) z) (.f64 (/.f64 (fma.f64 #s(approx (+ ( (* x x) 1/24) 1/2) #s(literal 1/2 binary64)) (.f64 x x) #s(literal 1 binary64)) (.f64 z x)) y)) (/.f64 #s(approx (* (cosh x) (/ y x)) #s(approx (* (+ (* x 1/2) (/ 1 x)) y) (.f64 (.f64 x y) #s(literal 1/2 binary64)))) z))
(if (<=.f64 x #s(literal 22499999999999998925728219608435235753992753661780675055564644092180426079702220174232920045132342120985241303913234646814754640940287472403500056529069586830824450250497333334901881486362613829883607228806946861324366072800345646801354752 binary64)) #s(approx (/ (* (cosh x) (/ y x)) z) (.f64 (/.f64 (fma.f64 #s(approx (+ ( (* x x) 1/24) 1/2) #s(literal 1/2 binary64)) (.f64 x x) #s(literal 1 binary64)) (.f64 z x)) y)) (/.f64 #s(approx (* (cosh x) (/ y x)) #s(approx (* (+ (* x 1/2) (/ 1 x)) y) (.f64 (.f64 y x) #s(literal 1/2 binary64)))) z))
(if (<=.f64 x #s(literal 6124895493223875/72057594037927936 binary64)) #s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 y (.f64 z x))) (/.f64 #s(approx ( (cosh x) (/ y x)) #s(approx (* (+ (* x 1/2) (/ 1 x)) y) (.f64 (.f64 x y) #s(literal 1/2 binary64)))) z))
(if (<=.f64 x #s(literal 6124895493223875/72057594037927936 binary64)) #s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 y (.f64 z x))) (/.f64 #s(approx ( (cosh x) (/ y x)) #s(approx (* (+ (* x 1/2) (/ 1 x)) y) (.f64 (.f64 y x) #s(literal 1/2 binary64)))) z))
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 y (*.f64 z x)))

soundness2.1s (19.3%)

Memory

19.2MiB live, 1 813.3MiB 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	8571	19
0	36	255
0	62	255
1	243	255
2	1754	255
0	8355	255
0	265	8964
1	873	8958
2	2840	8707
3	7184	8692
0	8635	8158
0	70	1004
1	201	1000
2	596	988
3	1406	982
4	2096	982
5	2761	980
6	3294	980
7	4780	976
8	5441	976
9	5911	976
10	6442	976
11	7732	976
0	8015	958
0	49	400
0	86	394
1	349	394
2	2014	394
0	8166	391
0	233	7442
1	768	7430
2	2493	7250
3	5995	7218
0	8345	6868
0	342	9249
1	1099	9219
2	3519	8919
0	8294	8345

Stop Event

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

Compiler

Compiled 1 312 to 776 computations (40.9% saved)

preprocess589.0ms (5.5%)

Memory: 8.2MiB live, 481.6MiB allocated
Compiler: Compiled 1 632 to 606 computations (62.9% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze67.0ms (0.6%)

sample1.1s (10.2%)

explain95.0ms (0.9%)

preprocess188.0ms (1.8%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify88.0ms (0.8%)

localize20.0ms (0.2%)

series30.0ms (0.3%)

simplify213.0ms (2%)

rewrite138.0ms (1.3%)

eval114.0ms (1.1%)

prune46.0ms (0.4%)

simplify290.0ms (2.7%)

localize181.0ms (1.7%)

series132.0ms (1.2%)

simplify319.0ms (3%)

rewrite198.0ms (1.9%)

eval296.0ms (2.8%)

prune78.0ms (0.7%)

simplify194.0ms (1.8%)

localize189.0ms (1.8%)

series83.0ms (0.8%)

simplify249.0ms (2.3%)

rewrite165.0ms (1.5%)

eval325.0ms (3%)

prune88.0ms (0.8%)

simplify141.0ms (1.3%)

localize242.0ms (2.3%)

series184.0ms (1.7%)

simplify268.0ms (2.5%)

rewrite473.0ms (4.4%)

eval463.0ms (4.4%)

prune416.0ms (3.9%)

regimes113.0ms (1.1%)

regimes53.0ms (0.5%)

regimes20.0ms (0.2%)

regimes105.0ms (1%)

regimes108.0ms (1%)

regimes90.0ms (0.8%)

regimes25.0ms (0.2%)

regimes53.0ms (0.5%)

regimes12.0ms (0.1%)

regimes13.0ms (0.1%)

regimes9.0ms (0.1%)

regimes43.0ms (0.4%)

regimes37.0ms (0.3%)

regimes38.0ms (0.4%)

regimes9.0ms (0.1%)

regimes25.0ms (0.2%)

regimes4.0ms (0%)

regimes18.0ms (0.2%)

regimes42.0ms (0.4%)

bsearch1.0ms (0%)

bsearch15.0ms (0.1%)

bsearch2.0ms (0%)

bsearch7.0ms (0.1%)

bsearch16.0ms (0.2%)

bsearch2.0ms (0%)

bsearch4.0ms (0%)

bsearch1.0ms (0%)

bsearch8.0ms (0.1%)

bsearch5.0ms (0%)

bsearch1.0ms (0%)

bsearch16.0ms (0.1%)

bsearch1.0ms (0%)

bsearch13.0ms (0.1%)

simplify31.0ms (0.3%)

soundness2.1s (19.3%)

preprocess589.0ms (5.5%)

end0.0ms (0%)

Profiling