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

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated

analyze68.0ms (0.6%)

Memory

19.5MiB live, 99.6MiB 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)

sample1.0s (9.6%)

Memory

17.0MiB live, 956.5MiB allocated

Samples

742.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 287.0ms

ival-div: 130.0ms (45.4% of total)

ival-cosh: 99.0ms (34.5% of total)

ival-mult: 49.0ms (17.1% of total)

ival-true: 6.0ms (2.1% of total)

ival-assert: 3.0ms (1% of total)

Bogosity

explain95.0ms (0.9%)

Memory

-29.0MiB live, 170.7MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
36	-	-	`(*.f64 (cosh.f64 x) (/.f64 y x))`
8	-	-	`(/.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**	36	0
↳	`(cosh.f64 x)`	overflow	143
↳	`(/.f64 y x)`	underflow	36
`/.f64`	`(/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z)`	o/n	8	0
↳	`(cosh.f64 x)`	overflow	143
↳	`(/.f64 y x)`	overflow	31
↳	`(*.f64 (cosh.f64 x) (/.f64 y x))`	overflow	174

Confusion

	Predicted +	Predicted -
+	44	0
-	0	212

Precision

1.0

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	44	0	0
-	0	0	212

Precision?

1.0

Recall?

1.0

Freqs

test

number	freq
0	212
1	44

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

33.0ms

512×

valid

Compiler

Compiled 78 to 32 computations (59% saved)

Precisions

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

ival-div: 10.0ms (53.2% of total)

ival-cosh: 6.0ms (31.9% of total)

ival-mult: 3.0ms (15.9% of total)

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

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

preprocess137.0ms (1.3%)

Memory

8.4MiB live, 129.3MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Calls

Call 1

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

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

Symmetry

(negabs z)

(negabs y)

(negabs x)

Compiler

Compiled 8 to 7 computations (12.5% saved)

eval0.0ms (0%)

Memory: 0.4MiB 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
▶	82.9%	(/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z)

Compiler

Compiled 8 to 7 computations (12.5% saved)

simplify79.0ms (0.7%)

Memory

19.0MiB live, 56.9MiB 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

localize66.0ms (0.6%)

Memory

-23.0MiB live, 59.5MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0	(/.f64 y x)
accuracy	0	(cosh.f64 x)
accuracy	1.9312972203208916	(/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z)
accuracy	7.179687500000001	(*.f64 (cosh.f64 x) (/.f64 y x))

Samples

19.0ms

256×

valid

Compiler

Compiled 46 to 16 computations (65.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 10.0ms

ival-div: 5.0ms (52.4% of total)

ival-cosh: 3.0ms (31.5% of total)

ival-mult: 1.0ms (10.5% of total)

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

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

series20.0ms (0.2%)

Memory

26.5MiB live, 26.5MiB 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
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))
2.0ms	y	@	0	((/ (* (cosh x) (/ y x)) z) (* (cosh x) (/ y x)) (cosh x) (/ y x))

simplify189.0ms (1.7%)

Memory

5.6MiB live, 163.5MiB 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	5439	976
9	5908	976
10	6439	976
11	7728	976
0	8011	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)

rewrite127.0ms (1.2%)

Memory

-8.9MiB live, 183.2MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Counts

4 → 574

Calls

Call 1

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

Outputs
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eval109.0ms (1%)

Memory: -3.5MiB live, 114.1MiB allocated
Compiler: Compiled 9 359 to 1 570 computations (83.2% saved)

prune21.0ms (0.2%)

Memory

22.3MiB live, 59.9MiB allocated

Pruning

12 alts after pruning (12 fresh and 0 done)

	Pruned	Kept	Total
New	658	12	670
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	659	12	671

Accuracy

100.0%

Counts

671 → 12

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	96.7%	(/.f64 (/.f64 (*.f64 y (cosh.f64 x)) z) x)
	78.4%	(/.f64 (.f64 #s(approx (cosh x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (.f64 x x) #s(literal 1/24 binary64)) (.f64 x x) #s(literal 1/2 binary64)) (.f64 x x) #s(literal 1 binary64))) (/.f64 y x)) z)
▶	75.0%	(/.f64 (.f64 #s(approx (cosh x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) (/.f64 y x)) z)
	69.4%	(/.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))
▶	44.5%	(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 y x)) z)
▶	65.5%	(/.f64 #s(approx (* (cosh x) (/ y x)) (*.f64 (fma.f64 x #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) y)) z)
	92.1%	(/.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)
	88.6%	(/.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)
	60.7%	#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)))
	78.4%	#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)))
▶	89.7%	#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 360 to 270 computations (25% saved)

simplify174.0ms (1.6%)

Memory

-15.4MiB live, 107.7MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

New	Metric	Score
cost-diff	0	(fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 x x) #s(literal 1/2 binary64)) (.f64 x x) #s(literal 1 binary64))
cost-diff	0	#s(approx (cosh x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 x x) #s(literal 1/2 binary64)) (.f64 x x) #s(literal 1 binary64)))
cost-diff	0	(.f64 #s(approx (cosh x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) (/.f64 y x))
cost-diff	0	(/.f64 (.f64 #s(approx (cosh x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) (/.f64 y x)) z)
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	32	283
0	53	283
1	90	283
2	163	283
3	312	283
4	498	283
5	1057	283
6	1935	283
7	3638	281
8	5088	281
9	5657	281
10	6086	281
11	6635	281
12	7642	281
0	8036	279

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

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

localize91.0ms (0.8%)

Memory

-1.3MiB live, 109.2MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score
accuracy	0.3167502005344497	(fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64))
accuracy	1.9312972203208916	(/.f64 (.f64 #s(approx (cosh x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) (/.f64 y x)) z)
accuracy	7.179687500000001	(.f64 #s(approx (cosh x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) (/.f64 y x))
accuracy	7.779063649801902	#s(approx (cosh x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 x x) #s(literal 1/2 binary64)) (.f64 x x) #s(literal 1 binary64)))
accuracy	1.673281728033021	(/.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	2.9082542183605993	(/.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	3.167531198694266	(.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	10.075018405449384	#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	0.015625	(fma.f64 x #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))
accuracy	0.0859375	(*.f64 (fma.f64 x #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) y)
accuracy	1.9312972203208916	(/.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	23.88434731185689	#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	1.9312972203208916	(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 y x)) z)
accuracy	35.22273018386162	#s(approx (* (cosh x) (/ y x)) (/.f64 y x))
accuracy	0	(/.f64 (*.f64 y (cosh.f64 x)) z)
accuracy	0	(cosh.f64 x)
accuracy	0.01171875	(*.f64 y (cosh.f64 x))
accuracy	2.1179747683227537	(/.f64 (/.f64 (*.f64 y (cosh.f64 x)) z) x)

Samples

69.0ms

256×

valid

Compiler

Compiled 464 to 55 computations (88.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 50.0ms

ival-mult: 20.0ms (39.6% of total)

const: 13.0ms (25.7% of total)

ival-div: 10.0ms (19.8% of total)

ival-add: 3.0ms (5.9% of total)

ival-cosh: 3.0ms (5.9% of total)

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

exact: 0.0ms (0% of total)

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

series135.0ms (1.2%)

Memory

-19.6MiB live, 93.2MiB allocated

Counts

20 → 504

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

Calls

9 calls:

Time	Variable		Point	Expression
72.0ms	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) (/ (* (cosh x) (/ y x)) z) (* (cosh x) (/ y x)) (cosh x) (+ (* (+ (* 1/24 (* x x)) 1/2) (* x x)) 1) (+ (* 1/24 (* x x)) 1/2))
6.0ms	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) (/ (* (cosh x) (/ y x)) z) (* (cosh x) (/ y x)) (cosh x) (+ (* (+ (* 1/24 (* x x)) 1/2) (* x x)) 1) (+ (* 1/24 (* x x)) 1/2))
4.0ms	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) (/ (* (cosh x) (/ y x)) z) (* (cosh x) (/ y x)) (cosh x) (+ (* (+ (* 1/24 (* x x)) 1/2) (* x x)) 1) (+ (* 1/24 (* x x)) 1/2))
4.0ms	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) (/ (* (cosh x) (/ y x)) z) (* (cosh x) (/ y x)) (cosh x) (+ (* (+ (* 1/24 (* x x)) 1/2) (* x x)) 1) (+ (* 1/24 (* x x)) 1/2))
4.0ms	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) (/ (* (cosh x) (/ y x)) z) (* (cosh x) (/ y x)) (cosh x) (+ (* (+ (* 1/24 (* x x)) 1/2) (* x x)) 1) (+ (* 1/24 (* x x)) 1/2))

simplify258.0ms (2.4%)

Memory

35.1MiB live, 252.5MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	167	6422
1	527	6406
2	1655	6300
3	3865	6246
4	7900	6246
0	8220	5983

Stop Event

1×	iter limit
1×	node limit

Counts

504 → 503

Calls

Call 1

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

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

rewrite299.0ms (2.8%)

Memory

-18.4MiB live, 149.7MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	32	231
0	53	231
1	184	231
2	1201	231
0	8721	231

Stop Event

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

Counts

20 → 914

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

Outputs
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eval339.0ms (3.1%)

Memory: 10.4MiB live, 284.2MiB allocated
Compiler: Compiled 32 341 to 3 946 computations (87.8% saved)

prune135.0ms (1.2%)

Memory

-3.1MiB live, 153.2MiB allocated

Pruning

26 alts after pruning (25 fresh and 1 done)

	Pruned	Kept	Total
New	1 595	22	1 617
Fresh	4	3	7
Picked	4	1	5
Done	0	0	0
Total	1 603	26	1 629

Accuracy

100.0%

Counts

1 629 → 26

Alt Table

Click to see full alt table

Status	Accuracy	Program
	82.3%	(/.f64 (/.f64 (.f64 y #s(approx (cosh x) (fma.f64 (.f64 x #s(literal 1/2 binary64)) x #s(literal 1 binary64)))) z) x)
	88.6%	(/.f64 (.f64 (neg.f64 y) (.f64 (/.f64 #s(literal -1 binary64) x) #s(approx (cosh 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))))) z)
	84.8%	(/.f64 (.f64 (cosh.f64 x) y) (.f64 z x))
	78.4%	(/.f64 (.f64 #s(approx (cosh x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (.f64 x x) #s(literal 1/24 binary64)) (.f64 x x) #s(literal 1/2 binary64)) (.f64 x x) #s(literal 1 binary64))) (/.f64 y x)) z)
	77.3%	(/.f64 (.f64 #s(approx (cosh 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))) y) (.f64 z x))
▶	75.0%	(/.f64 (.f64 #s(approx (cosh x) (fma.f64 (fma.f64 (.f64 #s(literal 1/24 binary64) x) x #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) (/.f64 y x)) z)
	69.4%	(/.f64 (.f64 #s(approx (cosh x) (fma.f64 (.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) (/.f64 y x)) z)
	74.5%	(/.f64 (.f64 #s(approx (cosh x) (fma.f64 #s(approx (+ ( 1/24 (* x x)) 1/2) (.f64 #s(literal 1/24 binary64) (.f64 x x))) (*.f64 x x) #s(literal 1 binary64))) (/.f64 y x)) z)
	39.4%	(/.f64 (.f64 #s(approx (cosh x) #s(approx (+ ( (+ (* 1/24 (* x x)) 1/2) (* x x)) 1) (.f64 (.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) x) x))) (/.f64 y x)) z)
	50.0%	(/.f64 #s(approx (/ (* y (cosh x)) z) (/.f64 y z)) x)
	65.5%	(/.f64 #s(approx (* (cosh x) (/ y x)) (fma.f64 (*.f64 y x) #s(literal 1/2 binary64) (/.f64 y x))) z)
▶	90.2%	(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 (.f64 y (fma.f64 (fma.f64 #s(literal 1/720 binary64) (.f64 x x) #s(literal 1/24 binary64)) (.f64 x x) #s(literal 1/2 binary64))) (.f64 x x) y) x)) z)
✓	44.5%	(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 y x)) z)
	44.4%	(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 #s(literal 1 binary64) (/.f64 x y))) z)
	44.5%	(/.f64 #s(approx (* (cosh x) (/ y x)) (.f64 #s(approx (+ ( x 1/2) (/ 1 x)) (/.f64 #s(literal 1 binary64) x)) y)) z)
▶	29.5%	(/.f64 #s(approx (* (cosh x) (/ y x)) (.f64 #s(approx (+ ( x 1/2) (/ 1 x)) (*.f64 x #s(literal 1/2 binary64))) y)) z)
	44.4%	(.f64 (neg.f64 #s(approx ( (cosh x) (/ y x)) (/.f64 y x))) (/.f64 #s(literal -1 binary64) z))
	89.6%	(.f64 (neg.f64 y) (.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #s(approx (cosh 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))) z)))
	89.8%	#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)))
	78.4%	#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)))
	82.1%	#s(approx (/ (* (cosh x) (/ y x)) z) (.f64 (/.f64 (/.f64 (fma.f64 #s(approx (+ ( 1/24 (* x x)) 1/2) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) z) x) y))
	51.8%	#s(approx (/ (* (cosh x) (/ y x)) z) (.f64 (/.f64 (/.f64 #s(approx (+ ( (+ (* 1/24 (* x x)) 1/2) (* x x)) 1) (.f64 (.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) x) x)) z) x) y))
	45.5%	#s(approx (/ (* (cosh x) (/ y x)) z) (.f64 (/.f64 (/.f64 #s(approx (+ ( (+ (* 1/24 (* x x)) 1/2) (* x x)) 1) #s(literal 1 binary64)) z) x) y))
	45.5%	#s(approx (/ (* (cosh x) (/ y x)) z) (.f64 #s(approx (/ (/ (+ ( (+ (* 1/24 (* x x)) 1/2) (* x x)) 1) z) x) (/.f64 (/.f64 #s(literal 1 binary64) x) z)) y))
▶	48.6%	#s(approx (/ (* (cosh x) (/ y x)) z) (.f64 #s(approx (/ (/ (+ ( (+ (* 1/24 (* x x)) 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))
▶	47.7%	#s(approx (/ (* (cosh x) (/ y x)) z) #s(approx (* (/ (/ (+ (* (+ (* 1/24 (* x x)) 1/2) (* x x)) 1) z) x) y) (.f64 (.f64 (/.f64 y z) (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64))) x)))

Compiler

Compiled 740 to 588 computations (20.5% saved)

simplify263.0ms (2.4%)

Memory

11.2MiB live, 167.2MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(fma.f64 (fma.f64 (.f64 #s(literal 1/24 binary64) x) x #s(literal 1/2 binary64)) (.f64 x x) #s(literal 1 binary64))
cost-diff	0	#s(approx (cosh x) (fma.f64 (fma.f64 (.f64 #s(literal 1/24 binary64) x) x #s(literal 1/2 binary64)) (.f64 x x) #s(literal 1 binary64)))
cost-diff	0	(.f64 #s(approx (cosh x) (fma.f64 (fma.f64 (.f64 #s(literal 1/24 binary64) x) x #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) (/.f64 y x))
cost-diff	0	(/.f64 (.f64 #s(approx (cosh x) (fma.f64 (fma.f64 (.f64 #s(literal 1/24 binary64) x) x #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) (/.f64 y x)) z)
cost-diff	0	#s(approx (/ (/ (+ (* (+ (* 1/24 (* x x)) 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))
cost-diff	0	(.f64 #s(approx (/ (/ (+ ( (+ (* 1/24 (* x x)) 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)
cost-diff	0	#s(approx (/ (* (cosh x) (/ y x)) z) (.f64 #s(approx (/ (/ (+ ( (+ (* 1/24 (* x x)) 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))
cost-diff	704	(.f64 (fma.f64 (/.f64 (.f64 x x) z) #s(literal 1/24 binary64) (/.f64 #s(literal 1/2 binary64) z)) x)
cost-diff	0	(.f64 (/.f64 y z) (fma.f64 #s(literal 1/24 binary64) (.f64 x x) #s(literal 1/2 binary64)))
cost-diff	0	(.f64 (.f64 (/.f64 y z) (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64))) x)
cost-diff	0	#s(approx (* (/ (/ (+ (* (+ (* 1/24 (* x x)) 1/2) (* x x)) 1) z) x) y) (.f64 (.f64 (/.f64 y z) (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64))) x))
cost-diff	0	#s(approx (/ (* (cosh x) (/ y x)) z) #s(approx (* (/ (/ (+ (* (+ (* 1/24 (* x x)) 1/2) (* x x)) 1) z) x) y) (.f64 (.f64 (/.f64 y z) (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64))) x)))
cost-diff	0	#s(approx (+ (* x 1/2) (/ 1 x)) (*.f64 x #s(literal 1/2 binary64)))
cost-diff	0	(.f64 #s(approx (+ ( x 1/2) (/ 1 x)) (*.f64 x #s(literal 1/2 binary64))) y)
cost-diff	0	#s(approx (* (cosh x) (/ y x)) (.f64 #s(approx (+ ( x 1/2) (/ 1 x)) (*.f64 x #s(literal 1/2 binary64))) y))
cost-diff	0	(/.f64 #s(approx (* (cosh x) (/ y x)) (.f64 #s(approx (+ ( x 1/2) (/ 1 x)) (*.f64 x #s(literal 1/2 binary64))) y)) z)
cost-diff	0	(fma.f64 (.f64 y (fma.f64 (fma.f64 #s(literal 1/720 binary64) (.f64 x x) #s(literal 1/24 binary64)) (.f64 x x) #s(literal 1/2 binary64))) (.f64 x x) y)
cost-diff	0	#s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 (.f64 y (fma.f64 (fma.f64 #s(literal 1/720 binary64) (.f64 x x) #s(literal 1/24 binary64)) (.f64 x x) #s(literal 1/2 binary64))) (.f64 x x) y) x))
cost-diff	0	(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 (.f64 y (fma.f64 (fma.f64 #s(literal 1/720 binary64) (.f64 x x) #s(literal 1/24 binary64)) (.f64 x x) #s(literal 1/2 binary64))) (.f64 x x) y) x)) z)
cost-diff	320	(/.f64 (fma.f64 (.f64 y (fma.f64 (fma.f64 #s(literal 1/720 binary64) (.f64 x x) #s(literal 1/24 binary64)) (.f64 x x) #s(literal 1/2 binary64))) (.f64 x x) y) x)

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	55	538
0	88	533
1	167	533
2	347	533
3	766	533
4	1503	525
5	2531	525
6	4312	525
7	5740	520
8	7222	520
0	8339	511

Stop Event

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

Calls

Call 1

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

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

localize217.0ms (2%)

Memory

-14.9MiB live, 183.6MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.34765625	(*.f64 #s(literal 1/24 binary64) x)
accuracy	1.9312972203208916	(/.f64 (.f64 #s(approx (cosh x) (fma.f64 (fma.f64 (.f64 #s(literal 1/24 binary64) x) x #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) (/.f64 y x)) z)
accuracy	7.179687500000001	(.f64 #s(approx (cosh x) (fma.f64 (fma.f64 (.f64 #s(literal 1/24 binary64) x) x #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) (/.f64 y x))
accuracy	7.779063649801902	#s(approx (cosh x) (fma.f64 (fma.f64 (.f64 #s(literal 1/24 binary64) x) x #s(literal 1/2 binary64)) (.f64 x x) #s(literal 1 binary64)))
accuracy	3.167531198694266	(.f64 #s(approx (/ (/ (+ ( (+ (* 1/24 (* x x)) 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)
accuracy	7.899137567823524	(/.f64 (*.f64 x x) z)
accuracy	10.075018405449384	#s(approx (/ (* (cosh x) (/ y x)) z) (.f64 #s(approx (/ (/ (+ ( (+ (* 1/24 (* x x)) 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))
accuracy	27.042029883908928	#s(approx (/ (/ (+ (* (+ (* 1/24 (* x x)) 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))
accuracy	2.3677123976928898	(.f64 (.f64 (/.f64 y z) (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64))) x)
accuracy	5.976141422719284	(.f64 (/.f64 y z) (fma.f64 #s(literal 1/24 binary64) (.f64 x x) #s(literal 1/2 binary64)))
accuracy	10.075018405449384	#s(approx (/ (* (cosh x) (/ y x)) z) #s(approx (* (/ (/ (+ (* (+ (* 1/24 (* x x)) 1/2) (* x x)) 1) z) x) y) (.f64 (.f64 (/.f64 y z) (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64))) x)))
accuracy	24.956164107224147	#s(approx (* (/ (/ (+ (* (+ (* 1/24 (* x x)) 1/2) (* x x)) 1) z) x) y) (.f64 (.f64 (/.f64 y z) (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64))) x))
accuracy	0.0859375	(.f64 #s(approx (+ ( x 1/2) (/ 1 x)) (*.f64 x #s(literal 1/2 binary64))) y)
accuracy	1.9312972203208916	(/.f64 #s(approx (* (cosh x) (/ y x)) (.f64 #s(approx (+ ( x 1/2) (/ 1 x)) (*.f64 x #s(literal 1/2 binary64))) y)) z)
accuracy	23.88434731185689	#s(approx (* (cosh x) (/ y x)) (.f64 #s(approx (+ ( x 1/2) (/ 1 x)) (*.f64 x #s(literal 1/2 binary64))) y))
accuracy	27.139269938829703	#s(approx (+ (* x 1/2) (/ 1 x)) (*.f64 x #s(literal 1/2 binary64)))
accuracy	1.1743972222747643	(/.f64 (fma.f64 (.f64 y (fma.f64 (fma.f64 #s(literal 1/720 binary64) (.f64 x x) #s(literal 1/24 binary64)) (.f64 x x) #s(literal 1/2 binary64))) (.f64 x x) y) x)
accuracy	1.4093373498132717	(.f64 y (fma.f64 (fma.f64 #s(literal 1/720 binary64) (.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)))
accuracy	1.9312972203208916	(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 (.f64 y (fma.f64 (fma.f64 #s(literal 1/720 binary64) (.f64 x x) #s(literal 1/24 binary64)) (.f64 x x) #s(literal 1/2 binary64))) (.f64 x x) y) x)) z)
accuracy	5.9285232899712454	#s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 (.f64 y (fma.f64 (fma.f64 #s(literal 1/720 binary64) (.f64 x x) #s(literal 1/24 binary64)) (.f64 x x) #s(literal 1/2 binary64))) (.f64 x x) y) x))

Samples

159.0ms

256×

valid

Compiler

Compiled 725 to 86 computations (88.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 96.0ms

ival-mult: 47.0ms (48.8% of total)

ival-add: 23.0ms (23.9% of total)

ival-div: 16.0ms (16.6% of total)

const: 7.0ms (7.3% of total)

ival-cosh: 3.0ms (3.1% of total)

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

exact: 0.0ms (0% of total)

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

series155.0ms (1.4%)

Memory

-15.1MiB live, 159.9MiB allocated

Counts

23 → 612

Calls

Call 1

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

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

Calls

9 calls:

Time	Variable		Point	Expression
43.0ms	z	@	-inf	((/ (+ (* (* y (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2)) (* x x)) y) x) (/ (* (cosh x) (/ y x)) z) (* (cosh x) (/ y x)) (+ (* (* y (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2)) (* x x)) y) (/ (* (cosh x) (/ y x)) z) (* (cosh x) (/ y x)) (* (+ (* x 1/2) (/ 1 x)) y) (+ (* x 1/2) (/ 1 x)) (/ (* (cosh x) (/ y x)) z) (* (/ (/ (+ (* (+ (* 1/24 (* x x)) 1/2) (* x x)) 1) z) x) y) (* (* (/ y z) (+ (* 1/24 (* x x)) 1/2)) x) (* (/ y z) (+ (* 1/24 (* x x)) 1/2)) (* (+ (* (/ (* x x) z) 1/24) (/ 1/2 z)) x) (/ (* (cosh x) (/ y x)) z) (* (/ (/ (+ (* (+ (* 1/24 (* x x)) 1/2) (* x x)) 1) z) x) y) (/ (/ (+ (* (+ (* 1/24 (* x x)) 1/2) (* x x)) 1) z) x) (/ (* (cosh x) (/ y x)) z) (* (cosh x) (/ y x)) (cosh x) (+ (* (+ (* (* 1/24 x) x) 1/2) (* x x)) 1) (* y (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2)) (/ (* x x) z) (* 1/24 x))
28.0ms	x	@	-inf	((/ (+ (* (* y (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2)) (* x x)) y) x) (/ (* (cosh x) (/ y x)) z) (* (cosh x) (/ y x)) (+ (* (* y (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2)) (* x x)) y) (/ (* (cosh x) (/ y x)) z) (* (cosh x) (/ y x)) (* (+ (* x 1/2) (/ 1 x)) y) (+ (* x 1/2) (/ 1 x)) (/ (* (cosh x) (/ y x)) z) (* (/ (/ (+ (* (+ (* 1/24 (* x x)) 1/2) (* x x)) 1) z) x) y) (* (* (/ y z) (+ (* 1/24 (* x x)) 1/2)) x) (* (/ y z) (+ (* 1/24 (* x x)) 1/2)) (* (+ (* (/ (* x x) z) 1/24) (/ 1/2 z)) x) (/ (* (cosh x) (/ y x)) z) (* (/ (/ (+ (* (+ (* 1/24 (* x x)) 1/2) (* x x)) 1) z) x) y) (/ (/ (+ (* (+ (* 1/24 (* x x)) 1/2) (* x x)) 1) z) x) (/ (* (cosh x) (/ y x)) z) (* (cosh x) (/ y x)) (cosh x) (+ (* (+ (* (* 1/24 x) x) 1/2) (* x x)) 1) (* y (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2)) (/ (* x x) z) (* 1/24 x))
12.0ms	y	@	inf	((/ (+ (* (* y (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2)) (* x x)) y) x) (/ (* (cosh x) (/ y x)) z) (* (cosh x) (/ y x)) (+ (* (* y (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2)) (* x x)) y) (/ (* (cosh x) (/ y x)) z) (* (cosh x) (/ y x)) (* (+ (* x 1/2) (/ 1 x)) y) (+ (* x 1/2) (/ 1 x)) (/ (* (cosh x) (/ y x)) z) (* (/ (/ (+ (* (+ (* 1/24 (* x x)) 1/2) (* x x)) 1) z) x) y) (* (* (/ y z) (+ (* 1/24 (* x x)) 1/2)) x) (* (/ y z) (+ (* 1/24 (* x x)) 1/2)) (* (+ (* (/ (* x x) z) 1/24) (/ 1/2 z)) x) (/ (* (cosh x) (/ y x)) z) (* (/ (/ (+ (* (+ (* 1/24 (* x x)) 1/2) (* x x)) 1) z) x) y) (/ (/ (+ (* (+ (* 1/24 (* x x)) 1/2) (* x x)) 1) z) x) (/ (* (cosh x) (/ y x)) z) (* (cosh x) (/ y x)) (cosh x) (+ (* (+ (* (* 1/24 x) x) 1/2) (* x x)) 1) (* y (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2)) (/ (* x x) z) (* 1/24 x))
6.0ms	y	@	-inf	((/ (+ (* (* y (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2)) (* x x)) y) x) (/ (* (cosh x) (/ y x)) z) (* (cosh x) (/ y x)) (+ (* (* y (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2)) (* x x)) y) (/ (* (cosh x) (/ y x)) z) (* (cosh x) (/ y x)) (* (+ (* x 1/2) (/ 1 x)) y) (+ (* x 1/2) (/ 1 x)) (/ (* (cosh x) (/ y x)) z) (* (/ (/ (+ (* (+ (* 1/24 (* x x)) 1/2) (* x x)) 1) z) x) y) (* (* (/ y z) (+ (* 1/24 (* x x)) 1/2)) x) (* (/ y z) (+ (* 1/24 (* x x)) 1/2)) (* (+ (* (/ (* x x) z) 1/24) (/ 1/2 z)) x) (/ (* (cosh x) (/ y x)) z) (* (/ (/ (+ (* (+ (* 1/24 (* x x)) 1/2) (* x x)) 1) z) x) y) (/ (/ (+ (* (+ (* 1/24 (* x x)) 1/2) (* x x)) 1) z) x) (/ (* (cosh x) (/ y x)) z) (* (cosh x) (/ y x)) (cosh x) (+ (* (+ (* (* 1/24 x) x) 1/2) (* x x)) 1) (* y (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2)) (/ (* x x) z) (* 1/24 x))
5.0ms	y	@	0	((/ (+ (* (* y (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2)) (* x x)) y) x) (/ (* (cosh x) (/ y x)) z) (* (cosh x) (/ y x)) (+ (* (* y (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2)) (* x x)) y) (/ (* (cosh x) (/ y x)) z) (* (cosh x) (/ y x)) (* (+ (* x 1/2) (/ 1 x)) y) (+ (* x 1/2) (/ 1 x)) (/ (* (cosh x) (/ y x)) z) (* (/ (/ (+ (* (+ (* 1/24 (* x x)) 1/2) (* x x)) 1) z) x) y) (* (* (/ y z) (+ (* 1/24 (* x x)) 1/2)) x) (* (/ y z) (+ (* 1/24 (* x x)) 1/2)) (* (+ (* (/ (* x x) z) 1/24) (/ 1/2 z)) x) (/ (* (cosh x) (/ y x)) z) (* (/ (/ (+ (* (+ (* 1/24 (* x x)) 1/2) (* x x)) 1) z) x) y) (/ (/ (+ (* (+ (* 1/24 (* x x)) 1/2) (* x x)) 1) z) x) (/ (* (cosh x) (/ y x)) z) (* (cosh x) (/ y x)) (cosh x) (+ (* (+ (* (* 1/24 x) x) 1/2) (* x x)) 1) (* y (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2)) (/ (* x x) z) (* 1/24 x))

simplify269.0ms (2.5%)

Memory

16.9MiB live, 281.6MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	229	8458
1	759	8458
2	2400	8234
3	5740	8160
0	8383	7744

Stop Event

1×	iter limit
1×	node limit

Counts

612 → 611

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

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

rewrite348.0ms (3.2%)

Memory

-158.3MiB live, 299.1MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	55	449
0	88	444
1	345	444
2	2298	444
0	8955	440

Stop Event

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

Counts

23 → 486

Calls

Call 1

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

Outputs
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eval207.0ms (1.9%)

Memory: 18.3MiB live, 356.6MiB allocated
Compiler: Compiled 23 819 to 2 621 computations (89% saved)

prune112.0ms (1%)

Memory

-19.6MiB live, 141.2MiB allocated

Pruning

31 alts after pruning (26 fresh and 5 done)

	Pruned	Kept	Total
New	1 086	11	1 097
Fresh	5	15	20
Picked	1	4	5
Done	0	1	1
Total	1 092	31	1 123

Accuracy

100.0%

Counts

1 123 → 31

Alt Table

Click to see full alt table

Status	Accuracy	Program
	82.3%	(/.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))
	77.3%	(/.f64 (.f64 #s(approx (cosh 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))) y) (.f64 z x))
✓	75.0%	(/.f64 (.f64 #s(approx (cosh x) (fma.f64 (fma.f64 (.f64 #s(literal 1/24 binary64) x) x #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) (/.f64 y x)) z)
▶	74.5%	(/.f64 (.f64 #s(approx (cosh x) (fma.f64 #s(approx (+ ( 1/24 (* x x)) 1/2) (.f64 #s(literal 1/24 binary64) (.f64 x x))) (*.f64 x x) #s(literal 1 binary64))) (/.f64 y x)) z)
	39.4%	(/.f64 (.f64 #s(approx (cosh x) #s(approx (+ ( (+ (* 1/24 (* x x)) 1/2) (* x x)) 1) (.f64 (.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) x) x))) (/.f64 y x)) z)
	50.0%	(/.f64 #s(approx (/ (* y (cosh x)) z) (/.f64 y z)) x)
▶	65.5%	(/.f64 #s(approx (* (cosh x) (/ y x)) (fma.f64 (*.f64 y x) #s(literal 1/2 binary64) (/.f64 y x))) z)
	90.2%	(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (.f64 (.f64 x x) y) (.f64 #s(literal 1/2 binary64) y)) (*.f64 x x) y) x)) z)
✓	90.2%	(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 (.f64 y (fma.f64 (fma.f64 #s(literal 1/720 binary64) (.f64 x x) #s(literal 1/24 binary64)) (.f64 x x) #s(literal 1/2 binary64))) (.f64 x x) y) x)) z)
	86.4%	(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 #s(approx (* y (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2)) (.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 x x) #s(literal 1/2 binary64)) y)) (*.f64 x x) y) x)) z)
▶	92.1%	(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 #s(approx (+ (* (* y (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2)) (* x x)) y) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (.f64 x x) #s(literal 1/24 binary64)) (.f64 x x) #s(literal 1/2 binary64)) (.f64 x x) #s(literal 1 binary64)) y)) x)) z)
✓	44.5%	(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 y x)) z)
	44.4%	(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 #s(literal 1 binary64) (/.f64 x y))) z)
	44.5%	(/.f64 #s(approx (* (cosh x) (/ y x)) (.f64 #s(approx (+ ( x 1/2) (/ 1 x)) (/.f64 #s(literal 1 binary64) x)) y)) z)
✓	29.5%	(/.f64 #s(approx (* (cosh x) (/ y x)) (.f64 #s(approx (+ ( x 1/2) (/ 1 x)) (*.f64 x #s(literal 1/2 binary64))) y)) z)
▶	44.4%	(.f64 (neg.f64 #s(approx ( (cosh x) (/ y x)) (/.f64 y x))) (/.f64 #s(literal -1 binary64) z))
	89.8%	#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)))
	78.4%	#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)))
	51.8%	#s(approx (/ (* (cosh x) (/ y x)) z) (.f64 (/.f64 (/.f64 #s(approx (+ ( (+ (* 1/24 (* x x)) 1/2) (* x x)) 1) (.f64 (.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) x) x)) z) x) y))
	45.5%	#s(approx (/ (* (cosh x) (/ y x)) z) (.f64 (/.f64 (/.f64 #s(approx (+ ( (+ (* 1/24 (* x x)) 1/2) (* x x)) 1) #s(literal 1 binary64)) z) x) y))
	45.5%	#s(approx (/ (* (cosh x) (/ y x)) z) (.f64 #s(approx (/ (/ (+ ( (+ (* 1/24 (* x x)) 1/2) (* x x)) 1) z) x) (/.f64 (/.f64 #s(literal 1 binary64) x) z)) y))
✓	48.6%	#s(approx (/ (* (cosh x) (/ y x)) z) (.f64 #s(approx (/ (/ (+ ( (+ (* 1/24 (* x x)) 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))
	51.5%	#s(approx (/ (* (cosh x) (/ y x)) z) (.f64 #s(approx (/ (/ (+ ( (+ (* 1/24 (* x x)) 1/2) (* x x)) 1) z) x) #s(approx (* (+ (* (/ (* x x) z) 1/24) (/ 1/2 z)) x) (/.f64 (.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 x x) #s(literal 1/2 binary64)) x) z))) y))
	30.9%	#s(approx (/ (* (cosh x) (/ y x)) z) (.f64 #s(approx (/ (/ (+ ( (+ (* 1/24 (* x x)) 1/2) (* x x)) 1) z) x) #s(approx (* (+ (* (/ (* x x) z) 1/24) (/ 1/2 z)) x) (*.f64 (/.f64 #s(literal 1/2 binary64) z) x))) y))
	48.9%	#s(approx (/ (* (cosh x) (/ y x)) z) #s(approx (* (/ (/ (+ (* (+ (* 1/24 (* x x)) 1/2) (* x x)) 1) z) x) y) (/.f64 (.f64 (.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) y) x) z)))
	47.7%	#s(approx (/ (* (cosh x) (/ y x)) z) #s(approx (* (/ (/ (+ (* (+ (* 1/24 (* x x)) 1/2) (* x x)) 1) z) x) y) (.f64 (fma.f64 (.f64 (/.f64 y z) (.f64 #s(literal 1/24 binary64) x)) x (.f64 (/.f64 y z) #s(literal 1/2 binary64))) x)))
	47.7%	#s(approx (/ (* (cosh x) (/ y x)) z) #s(approx (* (/ (/ (+ (* (+ (* 1/24 (* x x)) 1/2) (* x x)) 1) z) x) y) (.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 x x) #s(literal 1/2 binary64)) (*.f64 (/.f64 y z) x))))
	46.9%	#s(approx (/ (* (cosh x) (/ y x)) z) #s(approx (* (/ (/ (+ (* (+ (* 1/24 (* x x)) 1/2) (* x x)) 1) z) x) y) (.f64 (/.f64 (fma.f64 (.f64 (.f64 (.f64 #s(literal 1/24 binary64) x) x) y) z (.f64 z (.f64 #s(literal 1/2 binary64) y))) (*.f64 z z)) x)))
	45.9%	#s(approx (/ (* (cosh x) (/ y x)) z) #s(approx (* (/ (/ (+ (* (+ (* 1/24 (* x x)) 1/2) (* x x)) 1) z) x) y) (.f64 #s(approx ( (/ y z) (+ (* 1/24 (* x x)) 1/2)) (.f64 (.f64 y (/.f64 (*.f64 x x) z)) #s(literal 1/24 binary64))) x)))
▶	28.4%	#s(approx (/ (* (cosh x) (/ y x)) z) #s(approx (* (/ (/ (+ (* (+ (* 1/24 (* x x)) 1/2) (* x x)) 1) z) x) y) #s(approx (* (* (/ y z) (+ (* 1/24 (* x x)) 1/2)) x) (.f64 (.f64 (/.f64 y z) x) #s(literal 1/2 binary64)))))

Compiler

Compiled 832 to 658 computations (20.9% saved)

simplify174.0ms (1.6%)

Memory

2.9MiB live, 182.3MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(fma.f64 #s(approx (+ (* 1/24 (* x x)) 1/2) (.f64 #s(literal 1/24 binary64) (.f64 x x))) (*.f64 x x) #s(literal 1 binary64))
cost-diff	0	#s(approx (cosh x) (fma.f64 #s(approx (+ (* 1/24 (* x x)) 1/2) (.f64 #s(literal 1/24 binary64) (.f64 x x))) (*.f64 x x) #s(literal 1 binary64)))
cost-diff	0	(.f64 #s(approx (cosh x) (fma.f64 #s(approx (+ ( 1/24 (* x x)) 1/2) (.f64 #s(literal 1/24 binary64) (.f64 x x))) (*.f64 x x) #s(literal 1 binary64))) (/.f64 y x))
cost-diff	0	(/.f64 (.f64 #s(approx (cosh x) (fma.f64 #s(approx (+ ( 1/24 (* x x)) 1/2) (.f64 #s(literal 1/24 binary64) (.f64 x x))) (*.f64 x x) #s(literal 1 binary64))) (/.f64 y x)) z)
cost-diff	0	(*.f64 y x)
cost-diff	0	(fma.f64 (*.f64 y x) #s(literal 1/2 binary64) (/.f64 y x))
cost-diff	0	#s(approx (* (cosh x) (/ y x)) (fma.f64 (*.f64 y x) #s(literal 1/2 binary64) (/.f64 y x)))
cost-diff	0	(/.f64 #s(approx (* (cosh x) (/ y x)) (fma.f64 (*.f64 y x) #s(literal 1/2 binary64) (/.f64 y x))) z)
cost-diff	0	(/.f64 y x)
cost-diff	0	#s(approx (* (cosh x) (/ y x)) (/.f64 y x))
cost-diff	0	(neg.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 y x)))
cost-diff	448	(.f64 (neg.f64 #s(approx ( (cosh x) (/ y x)) (/.f64 y x))) (/.f64 #s(literal -1 binary64) z))
cost-diff	0	(.f64 (.f64 (/.f64 y z) x) #s(literal 1/2 binary64))
cost-diff	0	#s(approx (* (* (/ y z) (+ (* 1/24 (* x x)) 1/2)) x) (.f64 (.f64 (/.f64 y z) x) #s(literal 1/2 binary64)))
cost-diff	0	#s(approx (* (/ (/ (+ (* (+ (* 1/24 (* x x)) 1/2) (* x x)) 1) z) x) y) #s(approx (* (* (/ y z) (+ (* 1/24 (* x x)) 1/2)) x) (.f64 (.f64 (/.f64 y z) x) #s(literal 1/2 binary64))))
cost-diff	0	#s(approx (/ (* (cosh x) (/ y x)) z) #s(approx (* (/ (/ (+ (* (+ (* 1/24 (* x x)) 1/2) (* x x)) 1) z) x) y) #s(approx (* (* (/ y z) (+ (* 1/24 (* x x)) 1/2)) x) (.f64 (.f64 (/.f64 y z) x) #s(literal 1/2 binary64)))))
cost-diff	0	#s(approx (+ (* (* y (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2)) (* x x)) y) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (.f64 x x) #s(literal 1/24 binary64)) (.f64 x x) #s(literal 1/2 binary64)) (.f64 x x) #s(literal 1 binary64)) y))
cost-diff	0	(/.f64 #s(approx (+ (* (* y (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2)) (* x x)) y) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (.f64 x x) #s(literal 1/24 binary64)) (.f64 x x) #s(literal 1/2 binary64)) (.f64 x x) #s(literal 1 binary64)) y)) x)
cost-diff	0	#s(approx (* (cosh x) (/ y x)) (/.f64 #s(approx (+ (* (* y (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2)) (* x x)) y) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (.f64 x x) #s(literal 1/24 binary64)) (.f64 x x) #s(literal 1/2 binary64)) (.f64 x x) #s(literal 1 binary64)) y)) x))
cost-diff	0	(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 #s(approx (+ (* (* y (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2)) (* x x)) y) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (.f64 x x) #s(literal 1/24 binary64)) (.f64 x x) #s(literal 1/2 binary64)) (.f64 x x) #s(literal 1 binary64)) y)) x)) z)

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	60	582
0	90	582
1	176	581
2	382	575
3	850	575
4	2039	575
5	3727	575
6	6607	575
0	8266	563

Stop Event

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

Calls

Call 1

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

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

localize211.0ms (1.9%)

Memory

-19.4MiB live, 252.5MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	1.9312972203208916	(/.f64 (.f64 #s(approx (cosh x) (fma.f64 #s(approx (+ ( 1/24 (* x x)) 1/2) (.f64 #s(literal 1/24 binary64) (.f64 x x))) (*.f64 x x) #s(literal 1 binary64))) (/.f64 y x)) z)
accuracy	7.179687500000001	(.f64 #s(approx (cosh x) (fma.f64 #s(approx (+ ( 1/24 (* x x)) 1/2) (.f64 #s(literal 1/24 binary64) (.f64 x x))) (*.f64 x x) #s(literal 1 binary64))) (/.f64 y x))
accuracy	7.779063649801902	#s(approx (cosh x) (fma.f64 #s(approx (+ (* 1/24 (* x x)) 1/2) (.f64 #s(literal 1/24 binary64) (.f64 x x))) (*.f64 x x) #s(literal 1 binary64)))
accuracy	27.004550957064353	#s(approx (+ (* 1/24 (* x x)) 1/2) (.f64 #s(literal 1/24 binary64) (.f64 x x)))
accuracy	0	(*.f64 y x)
accuracy	0.00390625	(fma.f64 (*.f64 y x) #s(literal 1/2 binary64) (/.f64 y x))
accuracy	1.9312972203208916	(/.f64 #s(approx (* (cosh x) (/ y x)) (fma.f64 (*.f64 y x) #s(literal 1/2 binary64) (/.f64 y x))) z)
accuracy	23.88434731185689	#s(approx (* (cosh x) (/ y x)) (fma.f64 (*.f64 y x) #s(literal 1/2 binary64) (/.f64 y x)))
accuracy	0	(/.f64 #s(literal -1 binary64) z)
accuracy	0	(neg.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 y x)))
accuracy	1.9703597203208916	(.f64 (neg.f64 #s(approx ( (cosh x) (/ y x)) (/.f64 y x))) (/.f64 #s(literal -1 binary64) z))
accuracy	35.22273018386162	#s(approx (* (cosh x) (/ y x)) (/.f64 y x))
accuracy	4.654828791358434	(*.f64 (/.f64 y z) x)
accuracy	10.075018405449384	#s(approx (/ (* (cosh x) (/ y x)) z) #s(approx (* (/ (/ (+ (* (+ (* 1/24 (* x x)) 1/2) (* x x)) 1) z) x) y) #s(approx (* (* (/ y z) (+ (* 1/24 (* x x)) 1/2)) x) (.f64 (.f64 (/.f64 y z) x) #s(literal 1/2 binary64)))))
accuracy	22.500513749570967	#s(approx (* (* (/ y z) (+ (* 1/24 (* x x)) 1/2)) x) (.f64 (.f64 (/.f64 y z) x) #s(literal 1/2 binary64)))
accuracy	24.956164107224147	#s(approx (* (/ (/ (+ (* (+ (* 1/24 (* x x)) 1/2) (* x x)) 1) z) x) y) #s(approx (* (* (/ y z) (+ (* 1/24 (* x x)) 1/2)) x) (.f64 (.f64 (/.f64 y z) x) #s(literal 1/2 binary64))))
accuracy	1.1743972222747643	(/.f64 #s(approx (+ (* (* y (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2)) (* x x)) y) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (.f64 x x) #s(literal 1/24 binary64)) (.f64 x x) #s(literal 1/2 binary64)) (.f64 x x) #s(literal 1 binary64)) y)) x)
accuracy	1.2079734361507564	(.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)
accuracy	1.9312972203208916	(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 #s(approx (+ (* (* y (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2)) (* x x)) y) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (.f64 x x) #s(literal 1/24 binary64)) (.f64 x x) #s(literal 1/2 binary64)) (.f64 x x) #s(literal 1 binary64)) y)) x)) z)
accuracy	5.9285232899712454	#s(approx (* (cosh x) (/ y x)) (/.f64 #s(approx (+ (* (* y (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2)) (* x x)) y) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (.f64 x x) #s(literal 1/24 binary64)) (.f64 x x) #s(literal 1/2 binary64)) (.f64 x x) #s(literal 1 binary64)) y)) x))

Samples

138.0ms

256×

valid

Compiler

Compiled 646 to 82 computations (87.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 114.0ms

ival-mult: 48.0ms (42% of total)

const: 43.0ms (37.6% of total)

ival-div: 11.0ms (9.6% of total)

ival-add: 8.0ms (7% of total)

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

ival-neg: 1.0ms (0.9% of total)

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

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

exact: 0.0ms (0% of total)

series80.0ms (0.7%)

Memory

31.6MiB live, 222.8MiB allocated

Counts

24 → 636

Calls

Call 1

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

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

Calls

9 calls:

Time	Variable		Point	Expression
8.0ms	z	@	-inf	((/ (* (cosh x) (/ y x)) z) (* (cosh x) (/ y x)) (/ (+ (* (* y (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2)) (* x x)) y) x) (+ (* (* y (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2)) (* x x)) y) (/ (* (cosh x) (/ y x)) z) (* (/ (/ (+ (* (+ (* 1/24 (* x x)) 1/2) (* x x)) 1) z) x) y) (* (* (/ y z) (+ (* 1/24 (* x x)) 1/2)) x) (* (* (/ y z) x) 1/2) (* (neg (* (cosh x) (/ y x))) (/ -1 z)) (neg (* (cosh x) (/ y x))) (* (cosh x) (/ y x)) (/ y x) (/ (* (cosh x) (/ y x)) z) (* (cosh x) (/ y x)) (+ (* (* y x) 1/2) (/ y x)) (* y x) (/ (* (cosh x) (/ y x)) z) (* (cosh x) (/ y x)) (cosh x) (+ (* (+ (* 1/24 (* x x)) 1/2) (* x x)) 1) (* (+ (* (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (* x x)) 1) y) (* (/ y z) x) (/ -1 z) (+ (* 1/24 (* x x)) 1/2))
8.0ms	x	@	inf	((/ (* (cosh x) (/ y x)) z) (* (cosh x) (/ y x)) (/ (+ (* (* y (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2)) (* x x)) y) x) (+ (* (* y (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2)) (* x x)) y) (/ (* (cosh x) (/ y x)) z) (* (/ (/ (+ (* (+ (* 1/24 (* x x)) 1/2) (* x x)) 1) z) x) y) (* (* (/ y z) (+ (* 1/24 (* x x)) 1/2)) x) (* (* (/ y z) x) 1/2) (* (neg (* (cosh x) (/ y x))) (/ -1 z)) (neg (* (cosh x) (/ y x))) (* (cosh x) (/ y x)) (/ y x) (/ (* (cosh x) (/ y x)) z) (* (cosh x) (/ y x)) (+ (* (* y x) 1/2) (/ y x)) (* y x) (/ (* (cosh x) (/ y x)) z) (* (cosh x) (/ y x)) (cosh x) (+ (* (+ (* 1/24 (* x x)) 1/2) (* x x)) 1) (* (+ (* (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (* x x)) 1) y) (* (/ y z) x) (/ -1 z) (+ (* 1/24 (* x x)) 1/2))
8.0ms	y	@	-inf	((/ (* (cosh x) (/ y x)) z) (* (cosh x) (/ y x)) (/ (+ (* (* y (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2)) (* x x)) y) x) (+ (* (* y (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2)) (* x x)) y) (/ (* (cosh x) (/ y x)) z) (* (/ (/ (+ (* (+ (* 1/24 (* x x)) 1/2) (* x x)) 1) z) x) y) (* (* (/ y z) (+ (* 1/24 (* x x)) 1/2)) x) (* (* (/ y z) x) 1/2) (* (neg (* (cosh x) (/ y x))) (/ -1 z)) (neg (* (cosh x) (/ y x))) (* (cosh x) (/ y x)) (/ y x) (/ (* (cosh x) (/ y x)) z) (* (cosh x) (/ y x)) (+ (* (* y x) 1/2) (/ y x)) (* y x) (/ (* (cosh x) (/ y x)) z) (* (cosh x) (/ y x)) (cosh x) (+ (* (+ (* 1/24 (* x x)) 1/2) (* x x)) 1) (* (+ (* (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (* x x)) 1) y) (* (/ y z) x) (/ -1 z) (+ (* 1/24 (* x x)) 1/2))
5.0ms	y	@	0	((/ (* (cosh x) (/ y x)) z) (* (cosh x) (/ y x)) (/ (+ (* (* y (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2)) (* x x)) y) x) (+ (* (* y (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2)) (* x x)) y) (/ (* (cosh x) (/ y x)) z) (* (/ (/ (+ (* (+ (* 1/24 (* x x)) 1/2) (* x x)) 1) z) x) y) (* (* (/ y z) (+ (* 1/24 (* x x)) 1/2)) x) (* (* (/ y z) x) 1/2) (* (neg (* (cosh x) (/ y x))) (/ -1 z)) (neg (* (cosh x) (/ y x))) (* (cosh x) (/ y x)) (/ y x) (/ (* (cosh x) (/ y x)) z) (* (cosh x) (/ y x)) (+ (* (* y x) 1/2) (/ y x)) (* y x) (/ (* (cosh x) (/ y x)) z) (* (cosh x) (/ y x)) (cosh x) (+ (* (+ (* 1/24 (* x x)) 1/2) (* x x)) 1) (* (+ (* (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (* x x)) 1) y) (* (/ y z) x) (/ -1 z) (+ (* 1/24 (* x x)) 1/2))
4.0ms	x	@	-inf	((/ (* (cosh x) (/ y x)) z) (* (cosh x) (/ y x)) (/ (+ (* (* y (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2)) (* x x)) y) x) (+ (* (* y (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2)) (* x x)) y) (/ (* (cosh x) (/ y x)) z) (* (/ (/ (+ (* (+ (* 1/24 (* x x)) 1/2) (* x x)) 1) z) x) y) (* (* (/ y z) (+ (* 1/24 (* x x)) 1/2)) x) (* (* (/ y z) x) 1/2) (* (neg (* (cosh x) (/ y x))) (/ -1 z)) (neg (* (cosh x) (/ y x))) (* (cosh x) (/ y x)) (/ y x) (/ (* (cosh x) (/ y x)) z) (* (cosh x) (/ y x)) (+ (* (* y x) 1/2) (/ y x)) (* y x) (/ (* (cosh x) (/ y x)) z) (* (cosh x) (/ y x)) (cosh x) (+ (* (+ (* 1/24 (* x x)) 1/2) (* x x)) 1) (* (+ (* (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (* x x)) 1) y) (* (/ y z) x) (/ -1 z) (+ (* 1/24 (* x x)) 1/2))

simplify193.0ms (1.8%)

Memory

3.4MiB live, 330.5MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	200	7737
1	655	7733
2	2160	7595
3	5249	7536
0	8463	7220

Stop Event

1×	iter limit
1×	node limit

Counts

636 → 634

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

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

rewrite237.0ms (2.2%)

Memory

-24.8MiB live, 293.9MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	60	505
0	90	505
1	324	504
2	2271	504
0	8223	488

Stop Event

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

Counts

24 → 380

Calls

Call 1

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

Outputs
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eval162.0ms (1.5%)

Memory: 2.2MiB live, 318.9MiB allocated
Compiler: Compiled 19 621 to 1 791 computations (90.9% saved)

prune71.0ms (0.7%)

Memory

-7.4MiB live, 194.7MiB allocated

Pruning

33 alts after pruning (23 fresh and 10 done)

	Pruned	Kept	Total
New	1 102	4	1 106
Fresh	2	19	21
Picked	0	5	5
Done	0	5	5
Total	1 104	33	1 137

Accuracy

100.0%

Counts

1 137 → 33

Alt Table

Click to see full alt table

Status	Accuracy	Program
	82.3%	(/.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))
✓	75.0%	(/.f64 (.f64 #s(approx (cosh x) (fma.f64 (fma.f64 (.f64 #s(literal 1/24 binary64) x) x #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) (/.f64 y x)) z)
	74.5%	(/.f64 (.f64 #s(approx (cosh x) (fma.f64 (.f64 #s(approx (+ (* 1/24 (* x x)) 1/2) (.f64 #s(literal 1/24 binary64) (.f64 x x))) x) x #s(literal 1 binary64))) (/.f64 y x)) z)
✓	74.5%	(/.f64 (.f64 #s(approx (cosh x) (fma.f64 #s(approx (+ ( 1/24 (* x x)) 1/2) (.f64 #s(literal 1/24 binary64) (.f64 x x))) (*.f64 x x) #s(literal 1 binary64))) (/.f64 y x)) z)
	76.8%	(/.f64 (.f64 #s(approx (cosh x) (fma.f64 #s(approx (+ ( 1/24 (* x x)) 1/2) (.f64 #s(literal 1/24 binary64) (.f64 x x))) (.f64 x x) #s(literal 1 binary64))) y) (.f64 z x))
	50.0%	(/.f64 #s(approx (/ (* y (cosh x)) z) (/.f64 y z)) x)
✓	65.5%	(/.f64 #s(approx (* (cosh x) (/ y x)) (fma.f64 (*.f64 y x) #s(literal 1/2 binary64) (/.f64 y x))) z)
	90.2%	(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (.f64 (.f64 x x) y) (.f64 #s(literal 1/2 binary64) y)) (*.f64 x x) y) x)) z)
✓	90.2%	(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 (.f64 y (fma.f64 (fma.f64 #s(literal 1/720 binary64) (.f64 x x) #s(literal 1/24 binary64)) (.f64 x x) #s(literal 1/2 binary64))) (.f64 x x) y) x)) z)
	86.4%	(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 #s(approx (* y (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2)) (.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 x x) #s(literal 1/2 binary64)) y)) (*.f64 x x) y) x)) z)
✓	92.1%	(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 #s(approx (+ (* (* y (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2)) (* x x)) y) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (.f64 x x) #s(literal 1/24 binary64)) (.f64 x x) #s(literal 1/2 binary64)) (.f64 x x) #s(literal 1 binary64)) y)) x)) z)
✓	44.5%	(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 y x)) z)
	44.4%	(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 #s(literal 1 binary64) (/.f64 x y))) z)
	44.5%	(/.f64 #s(approx (* (cosh x) (/ y x)) (.f64 #s(approx (+ ( x 1/2) (/ 1 x)) (/.f64 #s(literal 1 binary64) x)) y)) z)
✓	29.5%	(/.f64 #s(approx (* (cosh x) (/ y x)) (.f64 #s(approx (+ ( x 1/2) (/ 1 x)) (*.f64 x #s(literal 1/2 binary64))) y)) z)
✓	44.4%	(.f64 (neg.f64 #s(approx ( (cosh x) (/ y x)) (/.f64 y x))) (/.f64 #s(literal -1 binary64) z))
	89.8%	#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)))
	78.4%	#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)))
	51.8%	#s(approx (/ (* (cosh x) (/ y x)) z) (.f64 (/.f64 (/.f64 #s(approx (+ ( (+ (* 1/24 (* x x)) 1/2) (* x x)) 1) (.f64 (.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) x) x)) z) x) y))
	45.5%	#s(approx (/ (* (cosh x) (/ y x)) z) (.f64 (/.f64 (/.f64 #s(approx (+ ( (+ (* 1/24 (* x x)) 1/2) (* x x)) 1) #s(literal 1 binary64)) z) x) y))
	45.5%	#s(approx (/ (* (cosh x) (/ y x)) z) (.f64 #s(approx (/ (/ (+ ( (+ (* 1/24 (* x x)) 1/2) (* x x)) 1) z) x) (/.f64 (/.f64 #s(literal 1 binary64) x) z)) y))
✓	48.6%	#s(approx (/ (* (cosh x) (/ y x)) z) (.f64 #s(approx (/ (/ (+ ( (+ (* 1/24 (* x x)) 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))
	51.5%	#s(approx (/ (* (cosh x) (/ y x)) z) (.f64 #s(approx (/ (/ (+ ( (+ (* 1/24 (* x x)) 1/2) (* x x)) 1) z) x) #s(approx (* (+ (* (/ (* x x) z) 1/24) (/ 1/2 z)) x) (/.f64 (.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 x x) #s(literal 1/2 binary64)) x) z))) y))
	30.9%	#s(approx (/ (* (cosh x) (/ y x)) z) (.f64 #s(approx (/ (/ (+ ( (+ (* 1/24 (* x x)) 1/2) (* x x)) 1) z) x) #s(approx (* (+ (* (/ (* x x) z) 1/24) (/ 1/2 z)) x) (*.f64 (/.f64 #s(literal 1/2 binary64) z) x))) y))
	48.9%	#s(approx (/ (* (cosh x) (/ y x)) z) #s(approx (* (/ (/ (+ (* (+ (* 1/24 (* x x)) 1/2) (* x x)) 1) z) x) y) (/.f64 (.f64 (.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) y) x) z)))
	47.7%	#s(approx (/ (* (cosh x) (/ y x)) z) #s(approx (* (/ (/ (+ (* (+ (* 1/24 (* x x)) 1/2) (* x x)) 1) z) x) y) (.f64 (fma.f64 (.f64 (/.f64 y z) (.f64 #s(literal 1/24 binary64) x)) x (.f64 (/.f64 y z) #s(literal 1/2 binary64))) x)))
	47.7%	#s(approx (/ (* (cosh x) (/ y x)) z) #s(approx (* (/ (/ (+ (* (+ (* 1/24 (* x x)) 1/2) (* x x)) 1) z) x) y) (.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 x x) #s(literal 1/2 binary64)) (*.f64 (/.f64 y z) x))))
	46.9%	#s(approx (/ (* (cosh x) (/ y x)) z) #s(approx (* (/ (/ (+ (* (+ (* 1/24 (* x x)) 1/2) (* x x)) 1) z) x) y) (.f64 (/.f64 (fma.f64 (.f64 (.f64 (.f64 #s(literal 1/24 binary64) x) x) y) z (.f64 z (.f64 #s(literal 1/2 binary64) y))) (*.f64 z z)) x)))
	45.9%	#s(approx (/ (* (cosh x) (/ y x)) z) #s(approx (* (/ (/ (+ (* (+ (* 1/24 (* x x)) 1/2) (* x x)) 1) z) x) y) (.f64 #s(approx ( (/ y z) (+ (* 1/24 (* x x)) 1/2)) (.f64 (.f64 y (/.f64 (*.f64 x x) z)) #s(literal 1/24 binary64))) x)))
	27.7%	#s(approx (/ (* (cosh x) (/ y x)) z) #s(approx (* (/ (/ (+ (* (+ (* 1/24 (* x x)) 1/2) (* x x)) 1) z) x) y) #s(approx (* (* (/ y z) (+ (* 1/24 (* x x)) 1/2)) x) (*.f64 (/.f64 x (/.f64 z y)) #s(literal 1/2 binary64)))))
✓	28.4%	#s(approx (/ (* (cosh x) (/ y x)) z) #s(approx (* (/ (/ (+ (* (+ (* 1/24 (* x x)) 1/2) (* x x)) 1) z) x) y) #s(approx (* (* (/ y z) (+ (* 1/24 (* x x)) 1/2)) x) (.f64 (.f64 (/.f64 y z) x) #s(literal 1/2 binary64)))))
	30.9%	#s(approx (/ (* (cosh x) (/ y x)) z) #s(approx (* (/ (/ (+ (* (+ (* 1/24 (* x x)) 1/2) (* x x)) 1) z) x) y) #s(approx (* (* (/ y z) (+ (* 1/24 (* x x)) 1/2)) x) (.f64 (.f64 y (/.f64 x z)) #s(literal 1/2 binary64)))))

Compiler

Compiled 1 209 to 615 computations (49.1% saved)

regimes311.0ms (2.9%)

Memory

18.5MiB live, 135.0MiB allocated

Counts

50 → 2

Calls

Call 1

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

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

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

Calls

5 calls:

244.0ms	z
23.0ms	x
16.0ms	(/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z)
14.0ms	y
12.0ms	(*.f64 (cosh.f64 x) (/.f64 y x))

Results

Accuracy	Segments	Branch
98.4%	2	`x`
96.7%	1	`y`
96.7%	1	`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)

regimes157.0ms (1.4%)

Memory

-30.0MiB live, 100.1MiB allocated

Counts

49 → 2

Calls

Call 1

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

(/.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)

Calls

5 calls:

62.0ms	x
38.0ms	(*.f64 (cosh.f64 x) (/.f64 y x))
14.0ms	y
14.0ms	z
12.0ms	(/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z)

Results

Accuracy	Segments	Branch
95.0%	2	`y`
94.0%	2	`z`
98.1%	2	`x`
96.6%	2	`(/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z)`
96.6%	2	`(*.f64 (cosh.f64 x) (/.f64 y x))`

Compiler

Compiled 17 to 22 computations (-29.4% saved)

regimes99.0ms (0.9%)

Memory

11.9MiB live, 85.7MiB allocated

Counts

46 → 2

Calls

Call 1

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

Outputs

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

Calls

4 calls:

54.0ms	y
19.0ms	(*.f64 (cosh.f64 x) (/.f64 y x))
13.0ms	x
11.0ms	(/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z)

Results

Accuracy	Segments	Branch
95.0%	2	`y`
92.1%	1	`(/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z)`
92.1%	1	`(*.f64 (cosh.f64 x) (/.f64 y x))`
94.3%	2	`x`

Compiler

Compiled 16 to 19 computations (-18.8% saved)

regimes14.0ms (0.1%)

Memory

32.8MiB live, 32.8MiB allocated

Counts

42 → 2

Calls

Call 1

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

Outputs

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

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

Calls

1 calls:

12.0ms

Results

Accuracy	Segments	Branch
95.0%	2	`y`

Compiler

Compiled 1 to 3 computations (-200% saved)

regimes130.0ms (1.2%)

Memory

-42.3MiB live, 82.6MiB allocated

Counts

41 → 3

Calls

Call 1

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

Outputs

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

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

Calls

5 calls:

13.0ms	z
12.0ms	y
12.0ms	x
10.0ms	(*.f64 (cosh.f64 x) (/.f64 y x))
10.0ms	(/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z)

Results

Accuracy	Segments	Branch
92.1%	2	`(/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z)`
92.1%	2	`(*.f64 (cosh.f64 x) (/.f64 y x))`
89.8%	1	`z`
94.3%	3	`x`
91.6%	2	`y`

Compiler

Compiled 17 to 22 computations (-29.4% saved)

regimes80.0ms (0.7%)

Memory

2.3MiB live, 41.9MiB allocated

Counts

40 → 2

Calls

Call 1

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

Outputs

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

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
91.6%	2	`(/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z)`
91.6%	2	`(*.f64 (cosh.f64 x) (/.f64 y x))`
89.8%	1	`x`

Compiler

Compiled 15 to 16 computations (-6.7% saved)

regimes87.0ms (0.8%)

Memory

37.2MiB live, 75.8MiB allocated

Counts

31 → 2

Calls

Call 1

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

Outputs

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

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

Calls

5 calls:

50.0ms	y
9.0ms	z
9.0ms	x
8.0ms	(*.f64 (cosh.f64 x) (/.f64 y x))
8.0ms	(/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z)

Results

Accuracy	Segments	Branch
84.1%	2	`z`
90.2%	2	`x`
84.7%	2	`y`
88.2%	2	`(/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z)`
88.2%	2	`(*.f64 (cosh.f64 x) (/.f64 y x))`

Compiler

Compiled 17 to 22 computations (-29.4% saved)

regimes36.0ms (0.3%)

Memory

-19.0MiB live, 18.4MiB allocated

Counts

27 → 2

Calls

Call 1

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

Outputs

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

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

Calls

1 calls:

8.0ms

Results

Accuracy	Segments	Branch
89.4%	2	`x`

Compiler

Compiled 1 to 3 computations (-200% saved)

regimes9.0ms (0.1%)

Memory

20.3MiB live, 20.3MiB allocated

Counts

25 → 2

Calls

Call 1

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

Outputs

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

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

Calls

1 calls:

7.0ms

Results

Accuracy	Segments	Branch
88.9%	2	`x`

Compiler

Compiled 1 to 3 computations (-200% saved)

regimes45.0ms (0.4%)

Memory

-18.9MiB live, 19.2MiB allocated

Counts

23 → 2

Calls

Call 1

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

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

Calls

1 calls:

44.0ms

Results

Accuracy	Segments	Branch
88.5%	2	`x`

Compiler

Compiled 1 to 3 computations (-200% saved)

regimes29.0ms (0.3%)

Memory

6.6MiB live, 45.4MiB allocated

Counts

20 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

3 calls:

16.0ms	(*.f64 (cosh.f64 x) (/.f64 y x))
6.0ms	x
6.0ms	(/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z)

Results

Accuracy	Segments	Branch
77.1%	2	`(/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z)`
79.9%	2	`(*.f64 (cosh.f64 x) (/.f64 y x))`
89.7%	3	`x`

Compiler

Compiled 15 to 16 computations (-6.7% saved)

regimes7.0ms (0.1%)

Memory

16.0MiB live, 16.0MiB allocated

Counts

19 → 3

Calls

Call 1

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

Outputs

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

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

Calls

1 calls:

6.0ms

Results

Accuracy	Segments	Branch
89.7%	3	`x`

Compiler

Compiled 1 to 3 computations (-200% saved)

regimes26.0ms (0.2%)

Memory

-30.4MiB live, 16.1MiB allocated

Counts

17 → 2

Calls

Call 1

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

Outputs

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

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

Calls

1 calls:

24.0ms

Results

Accuracy	Segments	Branch
88.0%	2	`x`

Compiler

Compiled 1 to 3 computations (-200% saved)

regimes6.0ms (0.1%)

Memory

12.7MiB live, 12.7MiB allocated

Counts

15 → 2

Calls

Call 1

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

Outputs

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

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

Calls

1 calls:

5.0ms

Results

Accuracy	Segments	Branch
85.4%	2	`x`

Compiler

Compiled 1 to 3 computations (-200% saved)

regimes37.0ms (0.3%)

Memory

-4.3MiB live, 33.9MiB allocated

Counts

14 → 2

Calls

Call 1

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

Outputs

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

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

Calls

3 calls:

27.0ms	y
5.0ms	z
5.0ms	x

Results

Accuracy	Segments	Branch
57.6%	4	`z`
60.0%	4	`y`
83.9%	2	`x`

Compiler

Compiled 3 to 9 computations (-200% saved)

regimes20.0ms (0.2%)

Memory

-10.2MiB live, 27.9MiB allocated

Counts

11 → 2

Calls

Call 1

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

Outputs

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

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

Calls

3 calls:

12.0ms	(/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z)
4.0ms	x
4.0ms	(*.f64 (cosh.f64 x) (/.f64 y x))

Results

Accuracy	Segments	Branch
58.7%	3	`(/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z)`
61.4%	3	`(*.f64 (cosh.f64 x) (/.f64 y x))`
67.4%	2	`x`

Compiler

Compiled 15 to 16 computations (-6.7% saved)

regimes4.0ms (0%)

Memory

7.8MiB live, 7.8MiB allocated

Counts

7 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

1 calls:

3.0ms

Results

Accuracy	Segments	Branch
68.2%	3	`x`

Compiler

Compiled 1 to 3 computations (-200% saved)

regimes3.0ms (0%)

Memory

6.2MiB live, 6.2MiB allocated

Counts

5 → 2

Calls

Call 1

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

Outputs

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

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

Calls

1 calls:

2.0ms

Results

Accuracy	Segments	Branch
66.4%	2	`x`

Compiler

Compiled 1 to 3 computations (-200% saved)

regimes42.0ms (0.4%)

Memory

-13.8MiB live, 24.4MiB allocated

Counts

4 → 2

Calls

Call 1

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

Outputs

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

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

Calls

5 calls:

33.0ms	y
2.0ms	z
2.0ms	x
2.0ms	(*.f64 (cosh.f64 x) (/.f64 y x))
2.0ms	(/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z)

Results

Accuracy	Segments	Branch
35.3%	2	`z`
35.3%	2	`y`
33.5%	2	`(/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z)`
33.5%	2	`(*.f64 (cosh.f64 x) (/.f64 y x))`
34.2%	2	`x`

Compiler

Compiled 17 to 22 computations (-29.4% saved)

regimes4.0ms (0%)

Memory

10.3MiB live, 10.3MiB allocated

Counts

3 → 2

Calls

Call 1

Inputs

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

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

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

Outputs

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

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

Calls

2 calls:

2.0ms	y
2.0ms	z

Results

Accuracy	Segments	Branch
30.9%	1	`z`
34.2%	2	`y`

Compiler

Compiled 2 to 6 computations (-200% saved)

regimes7.0ms (0.1%)

Memory

20.6MiB live, 20.6MiB allocated

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

Inputs

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

Outputs

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

Calls

5 calls:

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

Results

Accuracy	Segments	Branch
30.9%	1	`z`
30.9%	1	`(*.f64 (cosh.f64 x) (/.f64 y x))`
30.9%	1	`(/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z)`
30.9%	1	`x`
30.9%	1	`y`

Compiler

Compiled 17 to 22 computations (-29.4% saved)

bsearch57.0ms (0.5%)

Memory

-40.9MiB live, 2.0MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	1.0748904740365768e+152	1.0327884887512076e+159

Compiler

Compiled 11 to 13 computations (-18.2% saved)

bsearch12.0ms (0.1%)

Memory

16.5MiB live, 16.5MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
10.0ms	9.613065356003773e+47	4.644661832273424e+49

Samples

6.0ms

112×

valid

Compiler

Compiled 228 to 181 computations (20.6% saved)

Precisions

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

ival-div: 1.0ms (29.8% of total)

ival-mult: 1.0ms (29.8% of total)

ival-cosh: 1.0ms (29.8% of total)

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

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

bsearch50.0ms (0.5%)

Memory

-7.5MiB live, 30.8MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
48.0ms	2.3554515443608097e+47	8.074264526778073e+49

Samples

7.0ms

128×

valid

Compiler

Compiled 307 to 245 computations (20.2% saved)

Precisions

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

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

ival-mult: 1.0ms (25.9% of total)

ival-cosh: 1.0ms (25.9% of total)

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

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

bsearch2.0ms (0%)

Memory

6.2MiB live, 6.2MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
1.0ms	2.3554515443608097e+47	8.074264526778073e+49

Compiler

Compiled 299 to 237 computations (20.7% saved)

bsearch28.0ms (0.3%)

Memory

11.8MiB live, 51.1MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
18.0ms	3.2960110380466663e+75	4.9707598704856015e+76
8.0ms	4.275589148218607e-186	1.4175217278056966e-185

Samples

9.0ms

176×

valid

Compiler

Compiled 462 to 349 computations (24.5% saved)

Precisions

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

ival-div: 2.0ms (37.6% of total)

ival-cosh: 2.0ms (37.6% of total)

ival-mult: 1.0ms (18.8% of total)

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

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

bsearch1.0ms (0%)

Memory

0.8MiB live, 0.8MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	4.0398564661469754e+107	3.4974870646937563e+112

Compiler

Compiled 11 to 13 computations (-18.2% saved)

bsearch35.0ms (0.3%)

Memory

-11.7MiB live, 27.7MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
33.0ms	7.705040565259612e+52	4.168861820060879e+58

Samples

27.0ms

144×

valid

Compiler

Compiled 335 to 274 computations (18.2% saved)

Precisions

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

ival-div: 2.0ms (45.9% of total)

ival-mult: 1.0ms (23% of total)

ival-cosh: 1.0ms (23% of total)

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

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

bsearch33.0ms (0.3%)

Memory

-12.4MiB live, 31.5MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
32.0ms	5.9124311327027304e+91	1.5078617377694964e+97

Samples

26.0ms

144×

valid

Compiler

Compiled 308 to 265 computations (14% saved)

Precisions

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

ival-div: 2.0ms (47.8% of total)

ival-mult: 1.0ms (23.9% of total)

ival-cosh: 1.0ms (23.9% of total)

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

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

bsearch2.0ms (0%)

Memory

3.0MiB live, 3.0MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
1.0ms	5.9124311327027304e+91	1.5078617377694964e+97

Compiler

Compiled 308 to 265 computations (14% saved)

bsearch18.0ms (0.2%)

Memory

25.5MiB live, 25.5MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
16.0ms	6.948975366112416e-5	4353957341.694406

Samples

10.0ms

160×

valid

Compiler

Compiled 301 to 283 computations (6% saved)

Precisions

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

ival-cosh: 3.0ms (48.8% of total)

ival-div: 2.0ms (32.5% of total)

ival-mult: 1.0ms (16.3% of total)

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

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

bsearch27.0ms (0.2%)

Memory

-18.1MiB live, 21.0MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
1.0ms	6.948975366112416e-5	4353957341.694406
24.0ms	1.2226642096459029e-195	2.689904224573874e-193

Samples

6.0ms

112×

valid

Compiler

Compiled 411 to 393 computations (4.4% saved)

Precisions

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

ival-div: 2.0ms (58.5% of total)

ival-mult: 1.0ms (29.2% of total)

ival-cosh: 1.0ms (29.2% of total)

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

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

bsearch3.0ms (0%)

Memory

4.5MiB live, 4.5MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
1.0ms	6.948975366112416e-5	4353957341.694406
1.0ms	1.2226642096459029e-195	2.689904224573874e-193

Compiler

Compiled 411 to 410 computations (0.2% saved)

bsearch11.0ms (0.1%)

Memory

20.1MiB live, 20.1MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
10.0ms	6.948975366112416e-5	4353957341.694406

Samples

6.0ms

96×

valid

Compiler

Compiled 251 to 253 computations (-0.8% saved)

Precisions

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

ival-div: 1.0ms (30.4% of total)

ival-mult: 1.0ms (30.4% of total)

ival-cosh: 1.0ms (30.4% of total)

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

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

bsearch18.0ms (0.2%)

Memory

-36.8MiB live, 2.7MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
18.0ms	6.948975366112416e-5	4353957341.694406

Compiler

Compiled 241 to 243 computations (-0.8% saved)

bsearch1.0ms (0%)

Memory

1.8MiB live, 1.8MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
1.0ms	6.948975366112416e-5	4353957341.694406

Compiler

Compiled 241 to 243 computations (-0.8% saved)

bsearch3.0ms (0%)

Memory

4.4MiB live, 4.4MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
3.0ms	6.948975366112416e-5	4353957341.694406

Samples

1.0ms

16×

valid

Compiler

Compiled 201 to 223 computations (-10.9% 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)

bsearch15.0ms (0.1%)

Memory

23.5MiB live, 23.5MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
1.0ms	6.948975366112416e-5	4353957341.694406
13.0ms	1.2572056262385101e-233	1.2538711052667946e-226

Samples

8.0ms

144×

valid

Compiler

Compiled 279 to 319 computations (-14.3% saved)

Precisions

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

ival-div: 2.0ms (46% of total)

ival-mult: 1.0ms (23% of total)

ival-cosh: 1.0ms (23% of total)

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

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

bsearch1.0ms (0%)

Memory

3.8MiB live, 3.8MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
1.0ms	6.948975366112416e-5	4353957341.694406

Compiler

Compiled 171 to 193 computations (-12.9% saved)

bsearch2.0ms (0%)

Memory

4.5MiB live, 4.5MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	predicate-same

Steps

Time	Left	Right
2.0ms	2.3120734136877024e-26	5.558362485936915e-24

Samples

1.0ms

16×

valid

Compiler

Compiled 30 to 34 computations (-13.3% 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)

bsearch31.0ms (0.3%)

Memory

-37.7MiB live, 1.5MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	predicate-same

Steps

Time	Left	Right
31.0ms	2.3120734136877024e-26	5.558362485936915e-24

Compiler

Compiled 31 to 35 computations (-12.9% saved)

simplify92.0ms (0.8%)

Memory

21.2MiB live, 63.5MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 7 (0.0ms)

Iter	Nodes	Cost
0	205	1636
1	308	1636
2	481	1636
3	903	1636
4	1633	1624
5	2628	1624
6	4326	1624
7	5899	1606
8	7684	1606

Stop Event

1×	node limit

Calls

Call 1

Inputs
(if (<=.f64 (.f64 (cosh.f64 x) (/.f64 y x)) #s(literal 200000000000000009250216271808398948002452544790145376983777454402545107507559301846766839764406850263979324900979381181838795379032883593269504018219008 binary64)) (/.f64 #s(approx ( (cosh x) (/ y x)) (/.f64 #s(approx (+ (* (* y (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2)) (* x x)) y) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (.f64 x x) #s(literal 1/24 binary64)) (.f64 x x) #s(literal 1/2 binary64)) (.f64 x x) #s(literal 1 binary64)) y)) x)) z) (/.f64 (/.f64 (*.f64 y (cosh.f64 x)) z) x))
(if (<=.f64 x #s(literal 46000000000000000394316011781371444397386089103360 binary64)) (/.f64 (.f64 y (cosh.f64 x)) (.f64 z 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))
(if (<=.f64 y #s(literal 13999999999999998991249034338933129049096564244480 binary64)) (/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 #s(approx (+ (* (* y (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2)) (* x x)) y) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (.f64 x x) #s(literal 1/24 binary64)) (.f64 x x) #s(literal 1/2 binary64)) (.f64 x x) #s(literal 1 binary64)) 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))
(if (<=.f64 y #s(literal 13999999999999998991249034338933129049096564244480 binary64)) (/.f64 #s(approx (* (cosh x) (/ y x)) (.f64 (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (.f64 x x) #s(literal 1/24 binary64)) (.f64 x x) #s(literal 1/2 binary64)) (.f64 x x) #s(literal 1 binary64)) x) y)) z) (/.f64 (/.f64 (.f64 y #s(approx (cosh x) (fma.f64 (.f64 x #s(literal 1/2 binary64)) x #s(literal 1 binary64)))) z) x))
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(if (<=.f64 x #s(literal 14999999999999999206500517651480201776577074845923502930893358090172637493230228917427303463518208 binary64)) (/.f64 (.f64 #s(approx (cosh x) (fma.f64 #s(approx (+ ( 1/24 (* x x)) 1/2) (.f64 #s(literal 1/24 binary64) (.f64 x x))) (.f64 x x) #s(literal 1 binary64))) y) (.f64 z x)) #s(approx (/ (* (cosh x) (/ y x)) z) (.f64 #s(approx (/ (/ (+ ( (+ (* 1/24 (* x x)) 1/2) (* x x)) 1) z) x) #s(approx (* (+ (* (/ (* x x) z) 1/24) (/ 1/2 z)) x) (/.f64 (.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 x x) #s(literal 1/2 binary64)) x) z))) y)))
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(if (<=.f64 x #s(literal 5588894395395147/328758493846773344202561867680008041596896237676448366218642556441795759643567551382104158517349278201686435553511138607063714515636487741445488423165742553122201479445527787386978984867770169829455828233486336 binary64)) #s(approx (/ (* (cosh x) (/ y x)) z) (.f64 (/.f64 (/.f64 #s(approx (+ ( (+ (* 1/24 (* x x)) 1/2) (* x x)) 1) #s(literal 1 binary64)) z) x) y)) (if (<=.f64 x #s(literal 9/4 binary64)) (/.f64 #s(approx (* (cosh x) (/ y x)) (fma.f64 (.f64 y x) #s(literal 1/2 binary64) (/.f64 y x))) z) #s(approx (/ ( (cosh x) (/ y x)) z) (.f64 #s(approx (/ (/ (+ ( (+ (* 1/24 (* x x)) 1/2) (* x x)) 1) z) x) #s(approx (* (+ (* (/ (* x x) z) 1/24) (/ 1/2 z)) x) (/.f64 (.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 x x) #s(literal 1/2 binary64)) x) z))) y))))
(if (<=.f64 x #s(literal 5588894395395147/328758493846773344202561867680008041596896237676448366218642556441795759643567551382104158517349278201686435553511138607063714515636487741445488423165742553122201479445527787386978984867770169829455828233486336 binary64)) #s(approx (/ (* (cosh x) (/ y x)) z) (.f64 (/.f64 (/.f64 #s(approx (+ ( (+ (* 1/24 (* x x)) 1/2) (* x x)) 1) #s(literal 1 binary64)) z) x) y)) (if (<=.f64 x #s(literal 9/4 binary64)) (/.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)) z) (.f64 #s(approx (/ (/ (+ ( (+ (* 1/24 (* x x)) 1/2) (* x x)) 1) z) x) #s(approx (* (+ (* (/ (* x x) z) 1/24) (/ 1/2 z)) x) (/.f64 (.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 x x) #s(literal 1/2 binary64)) x) z))) y))))
(if (<=.f64 x #s(literal 5854679515581645/4503599627370496 binary64)) #s(approx (/ (* (cosh x) (/ y x)) z) (.f64 #s(approx (/ (/ (+ ( (+ (* 1/24 (* x x)) 1/2) (* x x)) 1) z) x) (/.f64 (/.f64 #s(literal 1 binary64) x) z)) y)) #s(approx (/ (* (cosh x) (/ y x)) z) (.f64 #s(approx (/ (/ (+ ( (+ (* 1/24 (* x x)) 1/2) (* x x)) 1) z) x) #s(approx (* (+ (* (/ (* x x) z) 1/24) (/ 1/2 z)) x) (/.f64 (.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 x x) #s(literal 1/2 binary64)) x) z))) y)))
(if (<=.f64 x #s(literal 5854679515581645/4503599627370496 binary64)) #s(approx (/ (* (cosh x) (/ y x)) z) (.f64 #s(approx (/ (/ (+ ( (+ (* 1/24 (* x x)) 1/2) (* x x)) 1) z) x) (/.f64 (/.f64 #s(literal 1 binary64) x) z)) y)) #s(approx (/ (* (cosh x) (/ y x)) z) #s(approx (* (/ (/ (+ (* (+ (* 1/24 (* x x)) 1/2) (* x x)) 1) z) x) y) (/.f64 (.f64 (.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) y) x) z))))
(if (<=.f64 x #s(literal 9/4 binary64)) #s(approx (/ (* (cosh x) (/ y x)) z) (.f64 #s(approx (/ (/ (+ ( (+ (* 1/24 (* x x)) 1/2) (* x x)) 1) z) x) (/.f64 (/.f64 #s(literal 1 binary64) x) z)) y)) #s(approx (/ (* (cosh x) (/ y x)) z) #s(approx (* (/ (/ (+ (* (+ (* 1/24 (* x x)) 1/2) (* x x)) 1) z) x) y) (.f64 #s(approx ( (/ y z) (+ (* 1/24 (* x x)) 1/2)) (.f64 (.f64 y (/.f64 (*.f64 x x) z)) #s(literal 1/24 binary64))) x))))
(if (<=.f64 x #s(literal 3152519739159347/2251799813685248 binary64)) #s(approx (/ (* (cosh x) (/ y x)) z) (.f64 #s(approx (/ (/ (+ ( (+ (* 1/24 (* x x)) 1/2) (* x x)) 1) z) x) (/.f64 (/.f64 #s(literal 1 binary64) x) z)) y)) #s(approx (/ (* (cosh x) (/ y x)) z) #s(approx (* (/ (/ (+ (* (+ (* 1/24 (* x x)) 1/2) (* x x)) 1) z) x) y) #s(approx (* (* (/ y z) (+ (* 1/24 (* x x)) 1/2)) x) (.f64 (.f64 y (/.f64 x z)) #s(literal 1/2 binary64))))))
(if (<=.f64 x #s(literal 8565101879914997/1747979975492856518824388667826833403974715525645181428798916607807071777670465341756914322865272727992514618482604963383447074020817466839626771608982213111603568988524121832413745194182066575698549805189925857389888339453536229468710863470854144 binary64)) (/.f64 #s(approx (/ (* y (cosh x)) z) (/.f64 y z)) x) (if (<=.f64 x #s(literal 3152519739159347/2251799813685248 binary64)) (/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 y x)) z) #s(approx (/ (* (cosh x) (/ y x)) z) #s(approx (* (/ (/ (+ (* (+ (* 1/24 (* x x)) 1/2) (* x x)) 1) z) x) y) #s(approx (* (* (/ y z) (+ (* 1/24 (* x x)) 1/2)) x) (.f64 (.f64 y (/.f64 x z)) #s(literal 1/2 binary64)))))))
(if (<=.f64 x #s(literal 3152519739159347/2251799813685248 binary64)) (/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 y x)) z) #s(approx (/ (* (cosh x) (/ y x)) z) #s(approx (* (/ (/ (+ (* (+ (* 1/24 (* x x)) 1/2) (* x x)) 1) z) x) y) #s(approx (* (* (/ y z) (+ (* 1/24 (* x x)) 1/2)) x) (.f64 (.f64 y (/.f64 x z)) #s(literal 1/2 binary64))))))
(if (<=.f64 y #s(literal 1742245718635205/43556142965880123323311949751266331066368 binary64)) #s(approx (/ (* (cosh x) (/ y x)) z) #s(approx (* (/ (/ (+ (* (+ (* 1/24 (* x x)) 1/2) (* x x)) 1) z) x) y) #s(approx (* (* (/ y z) (+ (* 1/24 (* x x)) 1/2)) x) (.f64 (.f64 y (/.f64 x z)) #s(literal 1/2 binary64))))) (/.f64 #s(approx (* (cosh x) (/ y x)) (.f64 #s(approx (+ ( x 1/2) (/ 1 x)) (*.f64 x #s(literal 1/2 binary64))) y)) z))
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#s(approx (/ (* (cosh x) (/ y x)) z) #s(approx (* (/ (/ (+ (* (+ (* 1/24 (* x x)) 1/2) (* x x)) 1) z) x) y) #s(approx (* (* (/ y z) (+ (* 1/24 (* x x)) 1/2)) x) (.f64 (.f64 y (/.f64 x z)) #s(literal 1/2 binary64)))))

Outputs
(if (<=.f64 (.f64 (cosh.f64 x) (/.f64 y x)) #s(literal 200000000000000009250216271808398948002452544790145376983777454402545107507559301846766839764406850263979324900979381181838795379032883593269504018219008 binary64)) (/.f64 #s(approx ( (cosh x) (/ y x)) (/.f64 #s(approx (+ (* (* y (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2)) (* x x)) y) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (.f64 x x) #s(literal 1/24 binary64)) (.f64 x x) #s(literal 1/2 binary64)) (.f64 x x) #s(literal 1 binary64)) y)) x)) z) (/.f64 (/.f64 (*.f64 y (cosh.f64 x)) z) x))
(if (<=.f64 (.f64 (/.f64 y x) (cosh.f64 x)) #s(literal 200000000000000009250216271808398948002452544790145376983777454402545107507559301846766839764406850263979324900979381181838795379032883593269504018219008 binary64)) (/.f64 #s(approx ( (cosh x) (/ y x)) (/.f64 #s(approx (+ (* (* y (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2)) (* x x)) y) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (.f64 x x) #s(literal 1/24 binary64)) (.f64 x x) #s(literal 1/2 binary64)) (.f64 x x) #s(literal 1 binary64)) y)) x)) z) (/.f64 (/.f64 (*.f64 y (cosh.f64 x)) z) x))
(if (<=.f64 x #s(literal 46000000000000000394316011781371444397386089103360 binary64)) (/.f64 (.f64 y (cosh.f64 x)) (.f64 z 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))
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(if (<=.f64 (.f64 (cosh.f64 x) (/.f64 y x)) #s(literal 500000000000000016999495856501412297471987359856449023856715357418937635861600416646370808190366722960654336 binary64)) (/.f64 #s(approx ( (cosh x) (/ y x)) (fma.f64 (.f64 y x) #s(literal 1/2 binary64) (/.f64 y x))) z) #s(approx (/ ( (cosh x) (/ y x)) z) (.f64 (/.f64 (/.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) z) x) y)))
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#s(approx (/ (* (cosh x) (/ y x)) z) #s(approx (* (/ (/ (+ (* (+ (* 1/24 (* x x)) 1/2) (* x x)) 1) z) x) y) #s(approx (* (* (/ y z) (+ (* 1/24 (* x x)) 1/2)) x) (.f64 (.f64 (/.f64 x z) y) #s(literal 1/2 binary64)))))

soundness2.6s (24.3%)

Memory

-22.5MiB live, 1 776.5MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	19
0	11	19
1	36	19
2	208	19
3	2161	19
0	8687	19
0	32	231
0	53	231
1	184	231
2	1201	231
0	8721	231
0	60	505
0	90	505
1	324	504
2	2271	504
0	8223	488
0	167	6422
1	527	6406
2	1655	6300
3	3865	6246
4	7900	6246
0	8220	5983
0	55	449
0	88	444
1	345	444
2	2298	444
0	8955	440
0	229	8458
1	759	8458
2	2400	8234
3	5740	8160
0	8383	7744
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	5439	976
9	5908	976
10	6439	976
11	7728	976
0	8011	958

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

Compiler

Compiled 1 177 to 737 computations (37.4% saved)

preprocess539.0ms (5%)

Memory: 22.0MiB live, 569.8MiB allocated
Remove: (negabs z)
Compiler: Compiled 2 314 to 894 computations (61.4% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated