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

analyze130.0ms (0.9%)

Memory

-18.4MiB live, 98.5MiB 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)

sample1.5s (10.8%)

Memory

15.3MiB live, 724.5MiB allocated

Samples

860.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 543.0ms

ival-cosh: 230.0ms (42.4% of total)

ival-mult: 164.0ms (30.2% of total)

ival-div: 140.0ms (25.8% of total)

ival-true: 6.0ms (1.1% of total)

ival-assert: 3.0ms (0.6% of total)

Bogosity

preprocess184.0ms (1.3%)

Memory

14.6MiB live, 173.9MiB allocated

Algorithm

1×	egg-herbie

Rules

1 288×	`lower-*.f32`
1 286×	`lower-*.f64`
1 168×	`neg-sub0`
1 164×	`times-frac`
774×	`distribute-lft-neg-in`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	31	87
1	106	75
2	336	75
3	1231	75
4	4255	75
5	7562	75
0	7	8
0	11	8
1	22	8
2	45	8
3	94	8
4	191	8
5	299	8
6	487	8
7	1061	8
8	2206	8
9	2598	8
10	2799	8
11	2810	8
12	2810	8
13	2847	8
14	2852	8
15	2854	8
16	2859	8
17	2859	8
0	2859	8

Stop Event

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

Calls

Call 1

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

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

Symmetry

(negabs z)

(negabs y)

(negabs x)

explain107.0ms (0.8%)

Memory

-29.8MiB live, 139.2MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
23	-	-	`(*.f64 (cosh.f64 x) (/.f64 y x))`
9	-	-	`(/.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**	23	0
↳	`(cosh.f64 x)`	overflow	127
↳	`(/.f64 y x)`	underflow	23
`/.f64`	`(/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z)`	o/n	9	0
↳	`(cosh.f64 x)`	overflow	127
↳	`(/.f64 y x)`	overflow	29
↳	`(*.f64 (cosh.f64 x) (/.f64 y x))`	overflow	156

Confusion

	Predicted +	Predicted -
+	32	0
-	0	224

Precision

1.0

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	32	0	0
-	0	0	224

Precision?

1.0

Recall?

1.0

Freqs

test

number	freq
0	224
1	32

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

34.0ms

512×

valid

Compiler

Compiled 70 to 32 computations (54.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 20.0ms

ival-div: 7.0ms (35.6% of total)

ival-mult: 7.0ms (35.6% of total)

ival-cosh: 5.0ms (25.4% of total)

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

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

eval0.0ms (0%)

Memory: 0.3MiB live, 0.3MiB allocated
Compiler: Compiled 3 to 3 computations (0% saved)

prune1.0ms (0%)

Memory

0.8MiB live, 0.8MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	87.6%	(/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z)

Compiler

Compiled 11 to 7 computations (36.4% saved)

simplify122.0ms (0.9%)

Memory

-4.4MiB live, 71.4MiB 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	384	(/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z)

Rules

1 288×	`lower-*.f32`
1 286×	`lower-*.f64`
1 164×	`times-frac`
764×	`lower-fma.f64`
764×	`lower-fma.f32`

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

localize22.0ms (0.2%)

Memory

15.9MiB live, 15.9MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(/.f64 y x)
✓	accuracy	100.0%	(cosh.f64 x)
✓	accuracy	96.6%	(/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z)
✓	accuracy	92.8%	(*.f64 (cosh.f64 x) (/.f64 y x))

Samples

15.0ms

256×

valid

Compiler

Compiled 24 to 9 computations (62.5% saved)

Precisions

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

ival-div: 3.0ms (38.4% of total)

ival-cosh: 3.0ms (38.4% of total)

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

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

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

series17.0ms (0.1%)

Memory

11.5MiB live, 11.5MiB 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 (/ 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 (* 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 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 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 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 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 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 (/ 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 (* 1/2 (/ (* 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 (/ (* 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 (/ (* 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 (* 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 (* 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 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 (* 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 (* 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 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 (/ 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) (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) (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 (/ 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 (/ 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

24 calls:

Time	Variable		Point	Expression
3.0ms	x	@	-inf	(/ (* (cosh x) (/ y x)) z)
2.0ms	y	@	-inf	(/ (* (cosh x) (/ y x)) z)
2.0ms	x	@	inf	(/ (* (cosh x) (/ y x)) z)
2.0ms	y	@	0	(/ (* (cosh x) (/ y x)) z)
1.0ms	z	@	0	(/ (* (cosh x) (/ y x)) z)

simplify500.0ms (3.6%)

Memory

-4.2MiB live, 423.8MiB allocated

Algorithm

1×	egg-herbie

Rules

15 684×	`lower-fma.f64`
15 684×	`lower-fma.f32`
5 420×	`lower-*.f64`
5 420×	`lower-*.f32`
2 024×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	70	1004
1	201	1000
2	599	988
3	1416	982
4	2110	982
5	2777	980
6	3318	980
7	4807	976
8	5464	976
9	5934	976
10	6466	976
11	7754	976
0	8037	958

Stop Event

1×	iter limit
1×	node limit

Counts

96 → 96

Calls

Call 1

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

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

rewrite241.0ms (1.7%)

Memory

-11.0MiB live, 247.7MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

3 410×	`lower-/.f32`
3 406×	`lower-/.f64`
3 324×	`lower-*.f32`
3 322×	`lower-*.f64`
1 104×	`frac-2neg`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	19
0	11	19
1	36	19
2	208	19
3	2161	19
0	8571	19

Stop Event

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

Counts

4 → 385

Calls

Call 1

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

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

eval50.0ms (0.4%)

Memory: -1.3MiB live, 158.9MiB allocated
Compiler: Compiled 6 720 to 1 065 computations (84.2% saved)

prune82.0ms (0.6%)

Memory

-11.3MiB live, 226.9MiB allocated

Pruning

15 alts after pruning (15 fresh and 0 done)

	Pruned	Kept	Total
New	466	15	481
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	467	15	482

Accuracy

100.0%

Counts

482 → 15

Alt Table

Click to see full alt table

Status	Accuracy	Program
	86.2%	(/.f64 (/.f64 (cosh.f64 x) z) (/.f64 x y))
	96.5%	(/.f64 (*.f64 (/.f64 (cosh.f64 x) x) y) z)
	79.6%	(/.f64 (.f64 #s(approx (cosh x) (fma.f64 (.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))) (/.f64 y x)) z)
▶	81.6%	(/.f64 (.f64 #s(approx (cosh x) (fma.f64 x (.f64 x (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64))) (/.f64 y x)) z)
	71.0%	(/.f64 (.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (.f64 x x) #s(literal 1 binary64))) (/.f64 y x)) z)
▶	97.2%	(/.f64 (*.f64 y (/.f64 (cosh.f64 x) z)) x)
▶	68.7%	(/.f64 #s(approx (* (cosh x) (/ y x)) (fma.f64 y (*.f64 x #s(literal 1/2 binary64)) (/.f64 y x))) z)
▶	86.7%	(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 x (.f64 x (.f64 y (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)))) y) x)) z)
	49.4%	(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 y x)) z)
	95.8%	(*.f64 y (/.f64 (/.f64 (cosh.f64 x) x) z))
	86.0%	(.f64 y (/.f64 (cosh.f64 x) (.f64 x z)))
	73.2%	#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (fma.f64 y (.f64 #s(literal 1/2 binary64) (.f64 x x)) y) (*.f64 x z)))
	80.8%	#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (fma.f64 x (.f64 x (.f64 y (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)))) y) (*.f64 x z)))
	78.0%	#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (fma.f64 x (.f64 x (.f64 y (fma.f64 x (.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)))) y) (.f64 x z)))
▶	49.0%	#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 y (*.f64 x z)))

Compiler

Compiled 468 to 276 computations (41% saved)

simplify278.0ms (2%)

Memory

36.3MiB live, 463.2MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(fma.f64 x (.f64 x (fma.f64 (.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64))
✓	cost-diff	0	#s(approx (cosh x) (fma.f64 x (.f64 x (fma.f64 (.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64)))
✓	cost-diff	0	(.f64 #s(approx (cosh x) (fma.f64 x (.f64 x (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64))) (/.f64 y x))
✓	cost-diff	384	(/.f64 (.f64 #s(approx (cosh x) (fma.f64 x (.f64 x (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64))) (/.f64 y x)) z)
✓	cost-diff	0	(fma.f64 x (.f64 x (.f64 y (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)))) y)
✓	cost-diff	0	#s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 x (.f64 x (.f64 y (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)))) y) x))
✓	cost-diff	0	(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 x (.f64 x (.f64 y (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)))) y) x)) z)
✓	cost-diff	320	(/.f64 (fma.f64 x (.f64 x (.f64 y (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)))) y) x)
✓	cost-diff	0	(*.f64 x #s(literal 1/2 binary64))
✓	cost-diff	0	(fma.f64 y (*.f64 x #s(literal 1/2 binary64)) (/.f64 y x))
✓	cost-diff	0	#s(approx (* (cosh x) (/ y x)) (fma.f64 y (*.f64 x #s(literal 1/2 binary64)) (/.f64 y x)))
✓	cost-diff	0	(/.f64 #s(approx (* (cosh x) (/ y x)) (fma.f64 y (*.f64 x #s(literal 1/2 binary64)) (/.f64 y x))) z)
✓	cost-diff	0	(*.f64 x z)
✓	cost-diff	0	(/.f64 y (*.f64 x z))
✓	cost-diff	0	#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 y (*.f64 x z)))
✓	cost-diff	0	(cosh.f64 x)
✓	cost-diff	0	(/.f64 (cosh.f64 x) z)
✓	cost-diff	0	(*.f64 y (/.f64 (cosh.f64 x) z))
✓	cost-diff	384	(/.f64 (*.f64 y (/.f64 (cosh.f64 x) z)) x)

Rules

7 774×	`lower-fma.f32`
7 762×	`lower-fma.f64`
3 828×	`lower-*.f32`
3 810×	`lower-*.f64`
1 548×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	39	330
0	69	330
1	137	330
2	315	330
3	685	330
4	985	330
5	1114	330
6	1521	330
7	2275	330
8	3334	327
9	4005	327
10	4263	327
11	4559	327
12	4757	327
13	5216	327
0	8086	324

Stop Event

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

Calls

Call 1

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

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

localize184.0ms (1.3%)

Memory

7.0MiB live, 204.0MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.9%	(fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))
✓	accuracy	96.6%	(/.f64 (.f64 #s(approx (cosh x) (fma.f64 x (.f64 x (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64))) (/.f64 y x)) z)
✓	accuracy	92.8%	(.f64 #s(approx (cosh x) (fma.f64 x (.f64 x (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64))) (/.f64 y x))
✓	accuracy	91.1%	#s(approx (cosh x) (fma.f64 x (.f64 x (fma.f64 (.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64)))
✓	accuracy	96.6%	(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 x (.f64 x (.f64 y (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)))) y) x)) z)
✓	accuracy	96.4%	(/.f64 (fma.f64 x (.f64 x (.f64 y (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)))) y) x)
✓	accuracy	95.2%	(.f64 y (fma.f64 x (.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)))
✓	accuracy	83.9%	#s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 x (.f64 x (.f64 y (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)))) y) x))
✓	accuracy	100.0%	(/.f64 y x)
✓	accuracy	100.0%	(*.f64 x #s(literal 1/2 binary64))
✓	accuracy	96.6%	(/.f64 #s(approx (* (cosh x) (/ y x)) (fma.f64 y (*.f64 x #s(literal 1/2 binary64)) (/.f64 y x))) z)
✓	accuracy	63.8%	#s(approx (* (cosh x) (/ y x)) (fma.f64 y (*.f64 x #s(literal 1/2 binary64)) (/.f64 y x)))
✓	accuracy	100.0%	(*.f64 x z)
✓	accuracy	92.4%	(/.f64 y (*.f64 x z))
✓	accuracy	52.9%	#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 y (*.f64 x z)))
✓	accuracy	100.0%	(cosh.f64 x)
✓	accuracy	100.0%	(/.f64 (cosh.f64 x) z)
✓	accuracy	99.9%	(*.f64 y (/.f64 (cosh.f64 x) z))
✓	accuracy	97.3%	(/.f64 (*.f64 y (/.f64 (cosh.f64 x) z)) x)

Samples

136.0ms

256×

valid

Compiler

Compiled 241 to 37 computations (84.6% saved)

Precisions

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

ival-mult: 90.0ms (77.7% of total)

ival-div: 9.0ms (7.8% of total)

const: 7.0ms (6% of total)

ival-add: 6.0ms (5.2% of total)

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

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

exact: 0.0ms (0% of total)

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

series44.0ms (0.3%)

Memory

3.9MiB live, 80.3MiB allocated

Counts

22 → 552

Calls

Call 1

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

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

Calls

138 calls:

Time	Variable		Point	Expression
3.0ms	y	@	inf	(/ y (* x z))
2.0ms	z	@	0	(* y (/ (cosh x) z))
2.0ms	y	@	-inf	(* y (+ (* x (* x 1/24)) 1/2))
1.0ms	y	@	0	(/ (+ (* x (* x (* y (+ (* x (* x 1/24)) 1/2)))) y) x)
1.0ms	y	@	inf	(/ (+ (* x (* x (* y (+ (* x (* x 1/24)) 1/2)))) y) x)

simplify446.0ms (3.2%)

Memory

-26.4MiB live, 573.2MiB allocated

Algorithm

1×	egg-herbie

Rules

17 346×	`lower-fma.f64`
17 346×	`lower-fma.f32`
4 110×	`lower-*.f64`
4 110×	`lower-*.f32`
2 434×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	164	6146
1	520	6140
2	1619	6042
3	3411	5984
4	6834	5982
0	8324	5773

Stop Event

1×	iter limit
1×	node limit

Counts

552 → 551

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

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

rewrite437.0ms (3.2%)

Memory

10.0MiB live, 685.3MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

4 638×	`lower-fma.f32`
4 626×	`lower-fma.f64`
4 456×	`lower-/.f32`
4 440×	`lower-/.f64`
4 134×	`lower-*.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	39	259
0	69	259
1	262	259
2	1814	259
0	8476	259

Stop Event

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

Counts

22 → 616

Calls

Call 1

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

Outputs
(exp.f64 (.f64 (log.f64 (.f64 x (/.f64 z (*.f64 y (cosh.f64 x))))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 (*.f64 y (/.f64 (cosh.f64 x) z)) (neg.f64 x)))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 z)) (/.f64 (*.f64 y (/.f64 (cosh.f64 x) z)) (neg.f64 x)))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 x)) (/.f64 (*.f64 y (/.f64 (cosh.f64 x) z)) (neg.f64 x)))
(neg.f64 (/.f64 (*.f64 y (/.f64 (cosh.f64 x) z)) (neg.f64 x)))
(/.f64 y (*.f64 x (/.f64 z (cosh.f64 x))))
(/.f64 (cosh.f64 x) (*.f64 z (/.f64 x y)))
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(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) (.f64 (fma.f64 #s(literal 1/576 binary64) (.f64 (.f64 x x) (*.f64 x x)) #s(literal -1/4 binary64)) y)))
(/.f64 (fma.f64 (.f64 y (.f64 y y)) (.f64 (.f64 x (.f64 x x)) (.f64 #s(literal 1/13824 binary64) (.f64 x (.f64 x x)))) (.f64 #s(literal 1/8 binary64) (.f64 y (.f64 y y)))) (fma.f64 (.f64 y (.f64 x (.f64 x #s(literal 1/24 binary64)))) (.f64 y (.f64 x (.f64 x #s(literal 1/24 binary64)))) (-.f64 (.f64 (.f64 y #s(literal 1/2 binary64)) (.f64 y #s(literal 1/2 binary64))) (.f64 (.f64 y (.f64 x (.f64 x #s(literal 1/24 binary64)))) (*.f64 y #s(literal 1/2 binary64))))))
(/.f64 (-.f64 (.f64 (.f64 y (.f64 x (.f64 x #s(literal 1/24 binary64)))) (.f64 y (.f64 x (.f64 x #s(literal 1/24 binary64))))) (.f64 (.f64 y #s(literal 1/2 binary64)) (.f64 y #s(literal 1/2 binary64)))) (-.f64 (.f64 y (.f64 x (.f64 x #s(literal 1/24 binary64)))) (.f64 y #s(literal 1/2 binary64))))
(/.f64 (.f64 y (fma.f64 (.f64 x (.f64 x x)) (.f64 #s(literal 1/13824 binary64) (.f64 x (.f64 x x))) #s(literal 1/8 binary64))) (-.f64 (fma.f64 #s(literal 1/576 binary64) (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/4 binary64)) (.f64 (*.f64 x x) #s(literal 1/48 binary64))))
(/.f64 (.f64 y (fma.f64 #s(literal 1/576 binary64) (.f64 (.f64 x x) (.f64 x x)) #s(literal -1/4 binary64))) (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64)))
(/.f64 (.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 #s(literal 1/13824 binary64) (.f64 x (.f64 x x))) #s(literal 1/8 binary64)) y) (-.f64 (fma.f64 #s(literal 1/576 binary64) (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/4 binary64)) (.f64 (*.f64 x x) #s(literal 1/48 binary64))))
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(/.f64 (neg.f64 (.f64 y (fma.f64 #s(literal 1/576 binary64) (.f64 (.f64 x x) (.f64 x x)) #s(literal -1/4 binary64)))) (neg.f64 (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64))))
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(/.f64 (neg.f64 (.f64 (fma.f64 #s(literal 1/576 binary64) (.f64 (.f64 x x) (.f64 x x)) #s(literal -1/4 binary64)) y)) (neg.f64 (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64))))
(/.f64 (fma.f64 #s(literal 1/8 binary64) (.f64 y (.f64 y y)) (.f64 (.f64 y (.f64 y y)) (.f64 (.f64 x (.f64 x x)) (.f64 #s(literal 1/13824 binary64) (.f64 x (.f64 x x)))))) (fma.f64 (.f64 y #s(literal 1/2 binary64)) (.f64 y #s(literal 1/2 binary64)) (-.f64 (.f64 (.f64 y (.f64 x (.f64 x #s(literal 1/24 binary64)))) (.f64 y (.f64 x (.f64 x #s(literal 1/24 binary64))))) (.f64 (.f64 y #s(literal 1/2 binary64)) (.f64 y (.f64 x (*.f64 x #s(literal 1/24 binary64))))))))
(/.f64 (-.f64 (.f64 (.f64 y #s(literal 1/2 binary64)) (.f64 y #s(literal 1/2 binary64))) (.f64 (.f64 y (.f64 x (.f64 x #s(literal 1/24 binary64)))) (.f64 y (.f64 x (.f64 x #s(literal 1/24 binary64)))))) (-.f64 (.f64 y #s(literal 1/2 binary64)) (.f64 y (.f64 x (.f64 x #s(literal 1/24 binary64))))))
(.f64 y (fma.f64 x (.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)))
(.f64 (fma.f64 x (.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) y)
(.f64 (fma.f64 (.f64 y (.f64 y y)) (.f64 (.f64 x (.f64 x x)) (.f64 #s(literal 1/13824 binary64) (.f64 x (.f64 x x)))) (.f64 #s(literal 1/8 binary64) (.f64 y (.f64 y y)))) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 y (.f64 x (.f64 x #s(literal 1/24 binary64)))) (.f64 y (.f64 x (.f64 x #s(literal 1/24 binary64)))) (-.f64 (.f64 (.f64 y #s(literal 1/2 binary64)) (.f64 y #s(literal 1/2 binary64))) (.f64 (.f64 y (.f64 x (.f64 x #s(literal 1/24 binary64)))) (.f64 y #s(literal 1/2 binary64)))))))
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(.f64 (.f64 y (fma.f64 #s(literal 1/576 binary64) (.f64 (.f64 x x) (.f64 x x)) #s(literal -1/4 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x (.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64))))
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(.f64 (.f64 (fma.f64 #s(literal 1/576 binary64) (.f64 (.f64 x x) (.f64 x x)) #s(literal -1/4 binary64)) y) (/.f64 #s(literal 1 binary64) (fma.f64 x (.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64))))
(+.f64 #s(literal 1/24 binary64) (.f64 (.f64 x x) #s(literal 1/720 binary64)))
(+.f64 (.f64 (.f64 x x) #s(literal 1/720 binary64)) #s(literal 1/24 binary64))
(+.f64 (/.f64 (.f64 #s(literal 1/518400 binary64) (.f64 (.f64 x x) (.f64 x x))) (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64))) (neg.f64 (/.f64 #s(literal 1/576 binary64) (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64)))))
(-.f64 (/.f64 (.f64 #s(literal 1/518400 binary64) (.f64 (.f64 x x) (.f64 x x))) (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64))) (/.f64 #s(literal 1/576 binary64) (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64))))
(-.f64 (/.f64 #s(literal 1/576 binary64) (-.f64 #s(literal 1/24 binary64) (.f64 (.f64 x x) #s(literal 1/720 binary64)))) (/.f64 (.f64 #s(literal 1/518400 binary64) (.f64 (.f64 x x) (.f64 x x))) (-.f64 #s(literal 1/24 binary64) (.f64 (.f64 x x) #s(literal 1/720 binary64)))))
(fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))
(fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))
(fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64))
(fma.f64 (.f64 #s(literal 1/518400 binary64) (.f64 (.f64 x x) (.f64 x x))) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64))) (neg.f64 (/.f64 #s(literal 1/576 binary64) (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64)))))
(fma.f64 (*.f64 x #s(literal 1/720 binary64)) x #s(literal 1/24 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/576 binary64) (-.f64 (.f64 #s(literal 1/518400 binary64) (.f64 (.f64 x x) (.f64 x x))) (.f64 (.f64 x x) #s(literal 1/17280 binary64)))) (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (*.f64 x x)) #s(literal 1/373248000 binary64)) #s(literal 1/13824 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/24 binary64) (.f64 (.f64 x x) #s(literal 1/720 binary64))) (-.f64 #s(literal 1/576 binary64) (.f64 #s(literal 1/518400 binary64) (.f64 (.f64 x x) (.f64 x x))))))
(/.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/373248000 binary64)) #s(literal 1/13824 binary64)) (-.f64 (fma.f64 #s(literal 1/518400 binary64) (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/576 binary64)) (.f64 (.f64 x x) #s(literal 1/17280 binary64))))
(/.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/373248000 binary64)) #s(literal 1/13824 binary64)) (+.f64 #s(literal 1/576 binary64) (-.f64 (.f64 #s(literal 1/518400 binary64) (.f64 (.f64 x x) (.f64 x x))) (.f64 (*.f64 x x) #s(literal 1/17280 binary64)))))
(/.f64 (fma.f64 #s(literal 1/518400 binary64) (.f64 (.f64 x x) (.f64 x x)) #s(literal -1/576 binary64)) (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)))))
(/.f64 (neg.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/373248000 binary64)) #s(literal 1/13824 binary64))) (neg.f64 (-.f64 (fma.f64 #s(literal 1/518400 binary64) (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/576 binary64)) (.f64 (.f64 x x) #s(literal 1/17280 binary64)))))
(/.f64 (neg.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/373248000 binary64)) #s(literal 1/13824 binary64))) (neg.f64 (+.f64 #s(literal 1/576 binary64) (-.f64 (.f64 #s(literal 1/518400 binary64) (.f64 (.f64 x x) (.f64 x x))) (.f64 (*.f64 x x) #s(literal 1/17280 binary64))))))
(/.f64 (neg.f64 (fma.f64 #s(literal 1/518400 binary64) (.f64 (.f64 x x) (.f64 x x)) #s(literal -1/576 binary64))) (neg.f64 (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64))))
(/.f64 (-.f64 #s(literal 1/576 binary64) (.f64 #s(literal 1/518400 binary64) (.f64 (.f64 x x) (.f64 x x)))) (-.f64 #s(literal 1/24 binary64) (.f64 (.f64 x x) #s(literal 1/720 binary64))))
(/.f64 (-.f64 (.f64 (.f64 #s(literal 1/518400 binary64) (.f64 (.f64 x x) (.f64 x x))) (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64))) (.f64 (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64)) #s(literal 1/576 binary64))) (.f64 (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/373248000 binary64)) #s(literal 1/13824 binary64)))) (neg.f64 (neg.f64 (-.f64 (fma.f64 #s(literal 1/518400 binary64) (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/576 binary64)) (.f64 (.f64 x x) #s(literal 1/17280 binary64))))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal 1/518400 binary64) (.f64 (.f64 x x) (.f64 x x)) #s(literal -1/576 binary64)))) (neg.f64 (neg.f64 (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64)))))
(/.f64 (neg.f64 (-.f64 #s(literal 1/576 binary64) (.f64 #s(literal 1/518400 binary64) (.f64 (.f64 x x) (.f64 x x))))) (neg.f64 (-.f64 #s(literal 1/24 binary64) (.f64 (.f64 x x) #s(literal 1/720 binary64)))))
(/.f64 (-.f64 (pow.f64 (/.f64 (.f64 #s(literal 1/518400 binary64) (.f64 (.f64 x x) (.f64 x x))) (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1/576 binary64) (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64))) #s(literal 3 binary64))) (fma.f64 (/.f64 (.f64 #s(literal 1/518400 binary64) (.f64 (.f64 x x) (.f64 x x))) (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64))) (/.f64 (.f64 #s(literal 1/518400 binary64) (.f64 (.f64 x x) (.f64 x x))) (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64))) (fma.f64 (/.f64 #s(literal 1/576 binary64) (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64))) (/.f64 #s(literal 1/576 binary64) (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64))) (.f64 (/.f64 (.f64 #s(literal 1/518400 binary64) (.f64 (.f64 x x) (.f64 x x))) (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64))) (/.f64 #s(literal 1/576 binary64) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64)))))))
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) #s(literal -1 binary64))
(.f64 #s(literal 1 binary64) (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)))
(.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/373248000 binary64)) #s(literal 1/13824 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 #s(literal 1/518400 binary64) (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/576 binary64)) (.f64 (*.f64 x x) #s(literal 1/17280 binary64)))))
(.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/373248000 binary64)) #s(literal 1/13824 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/576 binary64) (-.f64 (.f64 #s(literal 1/518400 binary64) (.f64 (.f64 x x) (.f64 x x))) (.f64 (.f64 x x) #s(literal 1/17280 binary64))))))
(.f64 (fma.f64 #s(literal 1/518400 binary64) (.f64 (.f64 x x) (.f64 x x)) #s(literal -1/576 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64))))
(.f64 (neg.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/373248000 binary64)) #s(literal 1/13824 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 (fma.f64 #s(literal 1/518400 binary64) (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/576 binary64)) (.f64 (*.f64 x x) #s(literal 1/17280 binary64))))))
(.f64 (neg.f64 (fma.f64 #s(literal 1/518400 binary64) (.f64 (.f64 x x) (.f64 x x)) #s(literal -1/576 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64)))))
(.f64 (-.f64 #s(literal 1/576 binary64) (.f64 #s(literal 1/518400 binary64) (.f64 (.f64 x x) (.f64 x x)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/24 binary64) (.f64 (*.f64 x x) #s(literal 1/720 binary64)))))

eval194.0ms (1.4%)

Memory: 2.7MiB live, 288.1MiB allocated
Compiler: Compiled 26 600 to 2 166 computations (91.9% saved)

prune189.0ms (1.4%)

Memory

-22.9MiB live, 430.0MiB allocated

Pruning

32 alts after pruning (31 fresh and 1 done)

	Pruned	Kept	Total
New	1 184	25	1 209
Fresh	4	6	10
Picked	4	1	5
Done	0	0	0
Total	1 192	32	1 224

Accuracy

100.0%

Counts

1 224 → 32

Alt Table

Click to see full alt table

Status	Accuracy	Program
	96.5%	(/.f64 (*.f64 (/.f64 (cosh.f64 x) x) y) z)
	56.4%	(/.f64 (.f64 #s(approx (cosh x) (fma.f64 (.f64 (.f64 x x) (fma.f64 x (.f64 (.f64 x (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) (.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)))) #s(literal -1/4 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) #s(literal 1 binary64))) (/.f64 y x)) z)
▶	81.6%	(/.f64 (.f64 #s(approx (cosh x) (fma.f64 x (.f64 x (fma.f64 (.f64 x x) (fma.f64 (.f64 x #s(literal 1/720 binary64)) x #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64))) (/.f64 y x)) z)
	81.1%	(/.f64 (.f64 #s(approx (cosh x) (fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(approx (+ ( (* x x) 1/720) 1/24) (.f64 (.f64 x x) #s(literal 1/720 binary64))) #s(literal 1/2 binary64))) #s(literal 1 binary64))) (/.f64 y x)) z)
▶	79.6%	(/.f64 (.f64 #s(approx (cosh x) (fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(approx (+ ( (* x x) 1/720) 1/24) #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64))) (/.f64 y x)) z)
	90.6%	(/.f64 (.f64 y (/.f64 #s(approx (cosh x) (fma.f64 (.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))) z)) x)
	82.0%	(/.f64 (.f64 y (/.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (.f64 x x) #s(literal 1 binary64))) z)) x)
	86.4%	(/.f64 (.f64 y (cosh.f64 x)) (.f64 x z))
	81.1%	(/.f64 (.f64 y #s(approx (cosh x) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)))) (*.f64 x z))
	87.8%	(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 (.f64 y x) (.f64 (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) x) y) x)) z)
	35.7%	(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (.f64 (fma.f64 (.f64 y (fma.f64 x (.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) (.f64 x x) y) (-.f64 (.f64 x (.f64 x (.f64 y (fma.f64 x (.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64))))) y)) (.f64 (-.f64 (.f64 x (.f64 x (.f64 y (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64))))) y) x))) z)
	46.0%	(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 #s(approx (+ (* x (* x (* y (+ (* x (* x 1/24)) 1/2)))) y) (.f64 x (.f64 y (.f64 x (.f64 x (*.f64 x #s(literal 1/24 binary64))))))) x)) z)
	49.4%	(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 y x)) z)
	45.3%	(/.f64 #s(approx (* (cosh x) (/ y x)) #s(approx (/ (+ (* x (* x (* y (+ (* x (* x 1/24)) 1/2)))) y) x) (.f64 y (.f64 x (.f64 x (.f64 x #s(literal 1/24 binary64))))))) z)
	44.7%	(/.f64 #s(approx (* (cosh x) (/ y x)) #s(approx (/ (+ (* x (* x (* y (+ (* x (* x 1/24)) 1/2)))) y) x) (.f64 x (.f64 y (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)))))) z)
	28.6%	(/.f64 #s(approx (* (cosh x) (/ y x)) #s(approx (+ (* y (* x 1/2)) (/ y x)) (.f64 #s(literal 1/2 binary64) (.f64 y x)))) z)
	86.5%	(/.f64 #s(approx (* y (/ (cosh x) z)) (fma.f64 y (/.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 x x) #s(literal 1 binary64)) z) (.f64 (/.f64 (.f64 y (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) z) (.f64 (.f64 x x) (*.f64 x x))))) x)
	55.7%	(/.f64 #s(approx (* y (/ (cosh x) z)) (/.f64 y z)) x)
▶	97.1%	(/.f64 #s(literal 1 binary64) (.f64 x (/.f64 z (.f64 y (cosh.f64 x)))))
	81.4%	(.f64 (/.f64 #s(approx (cosh x) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))) (*.f64 x z)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)))
	81.9%	(.f64 (/.f64 #s(approx (cosh x) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))) z) (/.f64 y x))
	77.2%	(.f64 (/.f64 y (.f64 x z)) #s(approx (cosh x) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))))
	81.5%	(.f64 (/.f64 #s(literal 1 binary64) z) (.f64 (/.f64 y x) #s(approx (cosh x) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)))))
	80.8%	(.f64 (.f64 y #s(approx (cosh x) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (.f64 x z)))
	95.8%	(*.f64 y (/.f64 (/.f64 (cosh.f64 x) x) z))
▶	73.2%	#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (fma.f64 y (.f64 #s(literal 1/2 binary64) (.f64 x x)) y) (*.f64 x z)))
	80.8%	#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (fma.f64 x (.f64 x (.f64 y (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)))) y) (*.f64 x z)))
	78.0%	#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (fma.f64 x (.f64 x (.f64 y (fma.f64 x (.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)))) y) (.f64 x z)))
✓	49.0%	#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 y (*.f64 x z)))
	49.5%	#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 #s(literal 1 binary64) (*.f64 z (/.f64 x y))))
	67.9%	#s(approx (/ (* (cosh x) (/ y x)) z) (.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 x x) #s(literal 1 binary64)) (/.f64 y (*.f64 x z))))
▶	48.7%	#s(approx (/ (* (cosh x) (/ y x)) z) (.f64 (/.f64 #s(literal 1 binary64) (.f64 x z)) y))

Compiler

Compiled 1 333 to 719 computations (46.1% saved)

simplify325.0ms (2.3%)

Memory

26.0MiB live, 490.3MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(fma.f64 x (.f64 x (fma.f64 (.f64 x x) (fma.f64 (*.f64 x #s(literal 1/720 binary64)) x #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64))
✓	cost-diff	0	#s(approx (cosh x) (fma.f64 x (.f64 x (fma.f64 (.f64 x x) (fma.f64 (*.f64 x #s(literal 1/720 binary64)) x #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64)))
✓	cost-diff	0	(.f64 #s(approx (cosh x) (fma.f64 x (.f64 x (fma.f64 (.f64 x x) (fma.f64 (.f64 x #s(literal 1/720 binary64)) x #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64))) (/.f64 y x))
✓	cost-diff	384	(/.f64 (.f64 #s(approx (cosh x) (fma.f64 x (.f64 x (fma.f64 (.f64 x x) (fma.f64 (.f64 x #s(literal 1/720 binary64)) x #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64))) (/.f64 y x)) z)
✓	cost-diff	0	(fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(approx (+ (* (* x x) 1/720) 1/24) #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64))
✓	cost-diff	0	#s(approx (cosh x) (fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(approx (+ (* (* x x) 1/720) 1/24) #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64)))
✓	cost-diff	0	(.f64 #s(approx (cosh x) (fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(approx (+ ( (* x x) 1/720) 1/24) #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64))) (/.f64 y x))
✓	cost-diff	384	(/.f64 (.f64 #s(approx (cosh x) (fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(approx (+ ( (* x x) 1/720) 1/24) #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64))) (/.f64 y x)) z)
✓	cost-diff	0	(.f64 #s(literal 1/2 binary64) (.f64 x x))
✓	cost-diff	0	(fma.f64 y (.f64 #s(literal 1/2 binary64) (.f64 x x)) y)
✓	cost-diff	0	(/.f64 (fma.f64 y (.f64 #s(literal 1/2 binary64) (.f64 x x)) y) (*.f64 x z))
✓	cost-diff	0	#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (fma.f64 y (.f64 #s(literal 1/2 binary64) (.f64 x x)) y) (*.f64 x z)))
✓	cost-diff	0	(*.f64 x z)
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) (*.f64 x z))
✓	cost-diff	0	#s(approx (/ (* (cosh x) (/ y x)) z) (.f64 (/.f64 #s(literal 1 binary64) (.f64 x z)) y))
✓	cost-diff	320	(.f64 (/.f64 #s(literal 1 binary64) (.f64 x z)) y)
✓	cost-diff	0	(*.f64 y (cosh.f64 x))
✓	cost-diff	0	(/.f64 z (*.f64 y (cosh.f64 x)))
✓	cost-diff	0	(.f64 x (/.f64 z (.f64 y (cosh.f64 x))))
✓	cost-diff	704	(/.f64 #s(literal 1 binary64) (.f64 x (/.f64 z (.f64 y (cosh.f64 x)))))

Rules

8 648×	`lower-fma.f32`
8 636×	`lower-fma.f64`
5 282×	`lower-*.f32`
5 260×	`lower-*.f64`
3 928×	`lower-+.f64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	44	400
0	76	393
1	156	389
2	359	387
3	908	387
4	1913	387
5	3037	387
6	4370	387
7	4537	387
8	4676	387
9	4683	387
10	4683	387
0	8142	387

Stop Event

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

Calls

Call 1

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

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

localize210.0ms (1.5%)

Memory

-4.4MiB live, 360.5MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(.f64 x (fma.f64 (.f64 x x) (fma.f64 (*.f64 x #s(literal 1/720 binary64)) x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)))
✓	accuracy	99.7%	(*.f64 x #s(literal 1/720 binary64))
✓	accuracy	98.8%	#s(approx (cosh x) (fma.f64 x (.f64 x (fma.f64 (.f64 x x) (fma.f64 (*.f64 x #s(literal 1/720 binary64)) x #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64)))
✓	accuracy	96.6%	(/.f64 (.f64 #s(approx (cosh x) (fma.f64 x (.f64 x (fma.f64 (.f64 x x) (fma.f64 (.f64 x #s(literal 1/720 binary64)) x #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64))) (/.f64 y x)) z)
✓	accuracy	100.0%	(.f64 x (fma.f64 (.f64 x x) #s(approx (+ (* (* x x) 1/720) 1/24) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)))
✓	accuracy	98.8%	#s(approx (cosh x) (fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(approx (+ (* (* x x) 1/720) 1/24) #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64)))
✓	accuracy	98.1%	#s(approx (+ (* (* x x) 1/720) 1/24) #s(literal 1/24 binary64))
✓	accuracy	96.6%	(/.f64 (.f64 #s(approx (cosh x) (fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(approx (+ ( (* x x) 1/720) 1/24) #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64))) (/.f64 y x)) z)
✓	accuracy	100.0%	(fma.f64 y (.f64 #s(literal 1/2 binary64) (.f64 x x)) y)
✓	accuracy	100.0%	(.f64 #s(literal 1/2 binary64) (.f64 x x))
✓	accuracy	98.8%	#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (fma.f64 y (.f64 #s(literal 1/2 binary64) (.f64 x x)) y) (*.f64 x z)))
✓	accuracy	96.1%	(/.f64 (fma.f64 y (.f64 #s(literal 1/2 binary64) (.f64 x x)) y) (*.f64 x z))
✓	accuracy	100.0%	(*.f64 x z)
✓	accuracy	99.9%	(/.f64 #s(literal 1 binary64) (*.f64 x z))
✓	accuracy	98.3%	#s(approx (/ (* (cosh x) (/ y x)) z) (.f64 (/.f64 #s(literal 1 binary64) (.f64 x z)) y))
✓	accuracy	95.8%	(.f64 (/.f64 #s(literal 1 binary64) (.f64 x z)) y)
✓	accuracy	100.0%	(*.f64 y (cosh.f64 x))
✓	accuracy	100.0%	(cosh.f64 x)
✓	accuracy	99.7%	(/.f64 #s(literal 1 binary64) (.f64 x (/.f64 z (.f64 y (cosh.f64 x)))))
✓	accuracy	97.3%	(.f64 x (/.f64 z (.f64 y (cosh.f64 x))))

Samples

83.0ms	124×	2	exit
59.0ms	131×	0	valid
2.0ms	1×	5	exit

Compiler

Compiled 276 to 40 computations (85.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 105.0ms

ival-mult: 37.0ms (35.3% of total)

ival-add: 26.0ms (24.8% of total)

ival-div: 16.0ms (15.3% of total)

adjust: 13.0ms (12.4% of total)

const: 8.0ms (7.6% of total)

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

exact: 0.0ms (0% of total)

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

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

series108.0ms (0.8%)

Memory

-8.7MiB live, 110.3MiB allocated

Counts

25 → 588

Calls

Call 1

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

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

Calls

147 calls:

Time	Variable		Point	Expression
24.0ms	x	@	inf	(* y (cosh x))
7.0ms	x	@	0	(/ 1 (* x z))
1.0ms	y	@	0	(/ (+ (* y (* 1/2 (* x x))) y) (* x z))
1.0ms	z	@	0	(/ (+ (* y (* 1/2 (* x x))) y) (* x z))
1.0ms	x	@	-inf	(* x (/ z (* y (cosh x))))

simplify336.0ms (2.4%)

Memory

29.1MiB live, 503.7MiB allocated

Algorithm

1×	egg-herbie

Rules

11 884×	`lower-fma.f64`
11 884×	`lower-fma.f32`
6 236×	`lower-*.f64`
6 236×	`lower-*.f32`
1 632×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	168	6664
1	558	6646
2	1759	6478
3	5450	6462
0	8146	6299

Stop Event

1×	iter limit
1×	node limit

Counts

588 → 586

Calls

Call 1

Inputs
(/ y (* x z))
(/ (+ (* 1/2 (/ (* (pow x 2) y) z)) (/ y z)) x)
(/ (+ (* (pow x 2) (+ (* 1/24 (/ (* (pow x 2) y) z)) (* 1/2 (/ y z)))) (/ y z)) x)
(/ (+ (* (pow x 2) (+ (* 1/2 (/ y z)) (* (pow x 2) (+ (* 1/720 (/ (* (pow x 2) y) z)) (* 1/24 (/ y z)))))) (/ y z)) x)
(* 1/2 (/ (* 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 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)))
(/ (* x z) y)
(* x (+ (* -1/2 (/ (* (pow x 2) z) y)) (/ z y)))
(* x (+ (* (pow x 2) (- (* -1 (* (pow x 2) (+ (* -1/4 (/ z y)) (* 1/24 (/ z y))))) (* 1/2 (/ z y)))) (/ z y)))
(* x (+ (* (pow x 2) (- (* (pow x 2) (- (* -1 (* (pow x 2) (+ (* -1/2 (+ (* -1/4 (/ z y)) (* 1/24 (/ z y)))) (+ (* -1/48 (/ z y)) (* 1/720 (/ z y)))))) (+ (* -1/4 (/ z y)) (* 1/24 (/ z y))))) (* 1/2 (/ z y)))) (/ z y)))
(* 2 (/ (* x z) (* y (+ (exp x) (/ 1 (exp x))))))
(* 2 (/ (* x z) (* y (+ (exp x) (/ 1 (exp x))))))
(* 2 (/ (* x z) (* y (+ (exp x) (/ 1 (exp x))))))
(* 2 (/ (* x z) (* y (+ (exp x) (/ 1 (exp x))))))
(* 2 (/ (* x z) (* y (+ (exp x) (/ 1 (exp x))))))
(* 2 (/ (* x z) (* y (+ (exp x) (/ 1 (exp x))))))
(* 2 (/ (* x z) (* y (+ (exp x) (/ 1 (exp x))))))
(* 2 (/ (* x z) (* y (+ (exp x) (/ 1 (exp x))))))
(* 2 (/ (* x z) (* y (+ (exp x) (/ 1 (exp x))))))
(* 2 (/ (* x z) (* y (+ (exp x) (/ 1 (exp x))))))
(* 2 (/ (* x z) (* y (+ (exp x) (/ 1 (exp x))))))
(* 2 (/ (* x z) (* y (+ (exp x) (/ 1 (exp x))))))
(* 2 (/ (* x z) (* y (+ (exp x) (/ 1 (exp x))))))
(* 2 (/ (* x z) (* y (+ (exp x) (/ 1 (exp x))))))
(* 2 (/ (* x z) (* y (+ (exp x) (/ 1 (exp x))))))
(* 2 (/ (* x z) (* y (+ (exp x) (/ 1 (exp x))))))
(* 2 (/ (* x z) (* y (+ (exp x) (/ 1 (exp x))))))
(* 2 (/ (* x z) (* y (+ (exp x) (/ 1 (exp x))))))
(* 2 (/ (* x z) (* y (+ (exp x) (/ 1 (exp x))))))
(* 2 (/ (* x z) (* y (+ (exp x) (/ 1 (exp x))))))
(* 2 (/ (* x z) (* y (+ (exp x) (/ 1 (exp x))))))
(* 2 (/ (* x z) (* y (+ (exp x) (/ 1 (exp x))))))
(* 2 (/ (* x z) (* y (+ (exp x) (/ 1 (exp x))))))
(* 2 (/ (* x z) (* y (+ (exp x) (/ 1 (exp x))))))
(* 2 (/ (* x z) (* y (+ (exp x) (/ 1 (exp x))))))
(* 2 (/ (* x z) (* y (+ (exp x) (/ 1 (exp x))))))
(* 2 (/ (* x z) (* y (+ (exp x) (/ 1 (exp x))))))
(* 2 (/ (* x z) (* y (+ (exp x) (/ 1 (exp x))))))
(* 2 (/ (* x z) (* y (+ (exp x) (/ 1 (exp x))))))
(* 2 (/ (* x z) (* y (+ (exp x) (/ 1 (exp x))))))
(* 2 (/ (* x z) (* y (+ (exp x) (/ 1 (exp x))))))
(* 2 (/ (* x z) (* y (+ (exp x) (/ 1 (exp x))))))
(* 2 (/ z (* y (+ (exp x) (/ 1 (exp x))))))
(* 2 (/ z (* y (+ (exp x) (/ 1 (exp 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 (/ (* 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))
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) x))
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) x))
1
(+ 1 (* 1/2 (pow x 2)))
(+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2)))))
(+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))
(* 1/2 (+ (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))))
(* 1/2 (+ (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
(+ 1 (* 1/2 (pow x 2)))
(+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2)))))
(+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))
(* 1/720 (pow x 6))
(* (pow x 6) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))
(* (pow x 6) (+ 1/720 (+ (/ 1/2 (pow x 4)) (* 1/24 (/ 1 (pow x 2))))))
(* (pow x 6) (+ 1/720 (+ (/ 1/2 (pow x 4)) (+ (* 1/24 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))
(* 1/720 (pow x 6))
(* (pow x 6) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))
(* (pow x 6) (+ 1/720 (+ (/ 1/2 (pow x 4)) (* 1/24 (/ 1 (pow x 2))))))
(* (pow x 6) (+ 1/720 (+ (/ 1/2 (pow x 4)) (+ (* 1/24 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))
1
(+ 1 (* 1/2 (pow x 2)))
(+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2)))))
(+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))
(* 1/2 (+ (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))))
(* 1/2 (+ (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
(+ 1/24 (* 1/720 (pow x 2)))
(+ 1/24 (* 1/720 (pow x 2)))
(+ 1/24 (* 1/720 (pow x 2)))
(* 1/720 (pow x 2))
(* (pow x 2) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))
(* 1/720 (pow x 2))
(* (pow x 2) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))
(* 1/2 x)
(* x (+ 1/2 (* 1/24 (pow x 2))))
(* x (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2))))))
(* x (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2))))))
(* 1/720 (pow x 5))
(* (pow x 5) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))
(* (pow x 5) (+ 1/720 (+ (/ 1/2 (pow x 4)) (* 1/24 (/ 1 (pow x 2))))))
(* (pow x 5) (+ 1/720 (+ (/ 1/2 (pow x 4)) (* 1/24 (/ 1 (pow x 2))))))
(* 1/720 (pow x 5))
(* (pow x 5) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))
(* -1 (* (pow x 5) (- (* -1 (/ (+ 1/24 (* 1/2 (/ 1 (pow x 2)))) (pow x 2))) 1/720)))
(* -1 (* (pow x 5) (- (* -1 (/ (+ 1/24 (* 1/2 (/ 1 (pow x 2)))) (pow x 2))) 1/720)))
(* 1/720 x)
(* 1/720 x)
(* 1/720 x)
(* 1/720 x)
(* 1/720 x)
(* 1/720 x)
(* 1/720 x)
(* 1/720 x)
(* 1/720 x)
(* 1/720 x)
(* 1/720 x)
(* 1/720 x)
(* 1/2 x)
(* x (+ 1/2 (* 1/24 (pow x 2))))
(* x (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2))))))
(* x (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2))))))
(* 1/720 (pow x 5))
(* (pow x 5) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))
(* (pow x 5) (+ 1/720 (+ (/ 1/2 (pow x 4)) (* 1/24 (/ 1 (pow x 2))))))
(* (pow x 5) (+ 1/720 (+ (/ 1/2 (pow x 4)) (* 1/24 (/ 1 (pow x 2))))))
(* 1/720 (pow x 5))
(* (pow x 5) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))
(* -1 (* (pow x 5) (- (* -1 (/ (+ 1/24 (* 1/2 (/ 1 (pow x 2)))) (pow x 2))) 1/720)))
(* -1 (* (pow x 5) (- (* -1 (/ (+ 1/24 (* 1/2 (/ 1 (pow x 2)))) (pow x 2))) 1/720)))

Outputs
(/ y (* x z))
(/.f64 y (*.f64 x z))
(/ (+ (* 1/2 (/ (* (pow x 2) y) z)) (/ y z)) x)
(/.f64 (fma.f64 y (.f64 x (.f64 x #s(literal 1/2 binary64))) y) (*.f64 x z))
(/ (+ (* (pow x 2) (+ (* 1/24 (/ (* (pow x 2) y) z)) (* 1/2 (/ y z)))) (/ y z)) x)
(/.f64 (fma.f64 (.f64 x x) (.f64 (/.f64 y z) (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) (/.f64 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)
(/.f64 (fma.f64 x (.f64 (.f64 (/.f64 y z) (fma.f64 x (.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) (.f64 x (.f64 x x))) (/.f64 (fma.f64 y (.f64 x (*.f64 x #s(literal 1/2 binary64))) y) z)) x)
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z)))
(/.f64 (.f64 y (.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))) (*.f64 x z))
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z)))
(/.f64 (.f64 y (.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))) (*.f64 x z))
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z)))
(/.f64 (.f64 y (.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))) (*.f64 x z))
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z)))
(/.f64 (.f64 y (.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))) (*.f64 x z))
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z)))
(/.f64 (.f64 y (.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))) (*.f64 x z))
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z)))
(/.f64 (.f64 y (.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))) (*.f64 x z))
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z)))
(/.f64 (.f64 y (.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))) (*.f64 x z))
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z)))
(/.f64 (.f64 y (.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))) (*.f64 x z))
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z)))
(/.f64 (.f64 y (.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))) (*.f64 x z))
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z)))
(/.f64 (.f64 y (.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))) (*.f64 x z))
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z)))
(/.f64 (.f64 y (.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))) (*.f64 x z))
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z)))
(/.f64 (.f64 y (.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))) (*.f64 x z))
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z)))
(/.f64 (.f64 y (.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))) (*.f64 x z))
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z)))
(/.f64 (.f64 y (.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))) (*.f64 x z))
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z)))
(/.f64 (.f64 y (.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))) (*.f64 x z))
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z)))
(/.f64 (.f64 y (.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))) (*.f64 x z))
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z)))
(/.f64 (.f64 y (.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))) (*.f64 x z))
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z)))
(/.f64 (.f64 y (.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))) (*.f64 x z))
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z)))
(/.f64 (.f64 y (.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))) (*.f64 x z))
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z)))
(/.f64 (.f64 y (.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))) (*.f64 x z))
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z)))
(/.f64 (.f64 y (.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))) (*.f64 x z))
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z)))
(/.f64 (.f64 y (.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))) (*.f64 x z))
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z)))
(/.f64 (.f64 y (.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))) (*.f64 x z))
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z)))
(/.f64 (.f64 y (.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))) (*.f64 x z))
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z)))
(/.f64 (.f64 y (.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))) (*.f64 x z))
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z)))
(/.f64 (.f64 y (.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))) (*.f64 x z))
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z)))
(/.f64 (.f64 y (.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))) (*.f64 x z))
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z)))
(/.f64 (.f64 y (.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))) (*.f64 x z))
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z)))
(/.f64 (.f64 y (.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))) (*.f64 x z))
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z)))
(/.f64 (.f64 y (.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))) (*.f64 x z))
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z)))
(/.f64 (.f64 y (.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))) (*.f64 x z))
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z)))
(/.f64 (.f64 y (.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))) (*.f64 x z))
(/ (* x z) y)
(*.f64 x (/.f64 z y))
(* x (+ (* -1/2 (/ (* (pow x 2) z) y)) (/ z y)))
(.f64 x (.f64 (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64)) (/.f64 z y)))
(* x (+ (* (pow x 2) (- (* -1 (* (pow x 2) (+ (* -1/4 (/ z y)) (* 1/24 (/ z y))))) (* 1/2 (/ z y)))) (/ z y)))
(.f64 x (-.f64 (/.f64 z y) (.f64 (.f64 (/.f64 z y) (fma.f64 (.f64 x x) #s(literal -5/24 binary64) #s(literal 1/2 binary64))) (*.f64 x x))))
(* x (+ (* (pow x 2) (- (* (pow x 2) (- (* -1 (* (pow x 2) (+ (* -1/2 (+ (* -1/4 (/ z y)) (* 1/24 (/ z y)))) (+ (* -1/48 (/ z y)) (* 1/720 (/ z y)))))) (+ (* -1/4 (/ z y)) (* 1/24 (/ z y))))) (* 1/2 (/ z y)))) (/ z y)))
(.f64 x (fma.f64 (.f64 x x) (fma.f64 x (.f64 x (.f64 x (.f64 x (.f64 (/.f64 z y) #s(literal -61/720 binary64))))) (neg.f64 (.f64 (/.f64 z y) (fma.f64 (.f64 x x) #s(literal -5/24 binary64) #s(literal 1/2 binary64))))) (/.f64 z y)))
(* 2 (/ (* x z) (* y (+ (exp x) (/ 1 (exp x))))))
(/.f64 (.f64 x (.f64 z #s(literal 2 binary64))) (*.f64 y (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))))
(* 2 (/ (* x z) (* y (+ (exp x) (/ 1 (exp x))))))
(/.f64 (.f64 x (.f64 z #s(literal 2 binary64))) (*.f64 y (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))))
(* 2 (/ (* x z) (* y (+ (exp x) (/ 1 (exp x))))))
(/.f64 (.f64 x (.f64 z #s(literal 2 binary64))) (*.f64 y (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))))
(* 2 (/ (* x z) (* y (+ (exp x) (/ 1 (exp x))))))
(/.f64 (.f64 x (.f64 z #s(literal 2 binary64))) (*.f64 y (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))))
(* 2 (/ (* x z) (* y (+ (exp x) (/ 1 (exp x))))))
(/.f64 (.f64 x (.f64 z #s(literal 2 binary64))) (*.f64 y (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))))
(* 2 (/ (* x z) (* y (+ (exp x) (/ 1 (exp x))))))
(/.f64 (.f64 x (.f64 z #s(literal 2 binary64))) (*.f64 y (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))))
(* 2 (/ (* x z) (* y (+ (exp x) (/ 1 (exp x))))))
(/.f64 (.f64 x (.f64 z #s(literal 2 binary64))) (*.f64 y (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))))
(* 2 (/ (* x z) (* y (+ (exp x) (/ 1 (exp x))))))
(/.f64 (.f64 x (.f64 z #s(literal 2 binary64))) (*.f64 y (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))))
(* 2 (/ (* x z) (* y (+ (exp x) (/ 1 (exp x))))))
(/.f64 (.f64 x (.f64 z #s(literal 2 binary64))) (*.f64 y (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))))
(* 2 (/ (* x z) (* y (+ (exp x) (/ 1 (exp x))))))
(/.f64 (.f64 x (.f64 z #s(literal 2 binary64))) (*.f64 y (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))))
(* 2 (/ (* x z) (* y (+ (exp x) (/ 1 (exp x))))))
(/.f64 (.f64 x (.f64 z #s(literal 2 binary64))) (*.f64 y (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))))
(* 2 (/ (* x z) (* y (+ (exp x) (/ 1 (exp x))))))
(/.f64 (.f64 x (.f64 z #s(literal 2 binary64))) (*.f64 y (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))))
(* 2 (/ (* x z) (* y (+ (exp x) (/ 1 (exp x))))))
(/.f64 (.f64 x (.f64 z #s(literal 2 binary64))) (*.f64 y (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))))
(* 2 (/ (* x z) (* y (+ (exp x) (/ 1 (exp x))))))
(/.f64 (.f64 x (.f64 z #s(literal 2 binary64))) (*.f64 y (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))))
(* 2 (/ (* x z) (* y (+ (exp x) (/ 1 (exp x))))))
(/.f64 (.f64 x (.f64 z #s(literal 2 binary64))) (*.f64 y (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))))
(* 2 (/ (* x z) (* y (+ (exp x) (/ 1 (exp x))))))
(/.f64 (.f64 x (.f64 z #s(literal 2 binary64))) (*.f64 y (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))))
(* 2 (/ (* x z) (* y (+ (exp x) (/ 1 (exp x))))))
(/.f64 (.f64 x (.f64 z #s(literal 2 binary64))) (*.f64 y (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))))
(* 2 (/ (* x z) (* y (+ (exp x) (/ 1 (exp x))))))
(/.f64 (.f64 x (.f64 z #s(literal 2 binary64))) (*.f64 y (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))))
(* 2 (/ (* x z) (* y (+ (exp x) (/ 1 (exp x))))))
(/.f64 (.f64 x (.f64 z #s(literal 2 binary64))) (*.f64 y (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))))
(* 2 (/ (* x z) (* y (+ (exp x) (/ 1 (exp x))))))
(/.f64 (.f64 x (.f64 z #s(literal 2 binary64))) (*.f64 y (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))))
(* 2 (/ (* x z) (* y (+ (exp x) (/ 1 (exp x))))))
(/.f64 (.f64 x (.f64 z #s(literal 2 binary64))) (*.f64 y (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))))
(* 2 (/ (* x z) (* y (+ (exp x) (/ 1 (exp x))))))
(/.f64 (.f64 x (.f64 z #s(literal 2 binary64))) (*.f64 y (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))))
(* 2 (/ (* x z) (* y (+ (exp x) (/ 1 (exp x))))))
(/.f64 (.f64 x (.f64 z #s(literal 2 binary64))) (*.f64 y (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))))
(* 2 (/ (* x z) (* y (+ (exp x) (/ 1 (exp x))))))
(/.f64 (.f64 x (.f64 z #s(literal 2 binary64))) (*.f64 y (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))))
(* 2 (/ (* x z) (* y (+ (exp x) (/ 1 (exp x))))))
(/.f64 (.f64 x (.f64 z #s(literal 2 binary64))) (*.f64 y (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))))
(* 2 (/ (* x z) (* y (+ (exp x) (/ 1 (exp x))))))
(/.f64 (.f64 x (.f64 z #s(literal 2 binary64))) (*.f64 y (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))))
(* 2 (/ (* x z) (* y (+ (exp x) (/ 1 (exp x))))))
(/.f64 (.f64 x (.f64 z #s(literal 2 binary64))) (*.f64 y (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))))
(* 2 (/ (* x z) (* y (+ (exp x) (/ 1 (exp x))))))
(/.f64 (.f64 x (.f64 z #s(literal 2 binary64))) (*.f64 y (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))))
(* 2 (/ (* x z) (* y (+ (exp x) (/ 1 (exp x))))))
(/.f64 (.f64 x (.f64 z #s(literal 2 binary64))) (*.f64 y (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))))
(* 2 (/ (* x z) (* y (+ (exp x) (/ 1 (exp x))))))
(/.f64 (.f64 x (.f64 z #s(literal 2 binary64))) (*.f64 y (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))))
(* 2 (/ (* x z) (* y (+ (exp x) (/ 1 (exp x))))))
(/.f64 (.f64 x (.f64 z #s(literal 2 binary64))) (*.f64 y (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))))
(* 2 (/ (* x z) (* y (+ (exp x) (/ 1 (exp x))))))
(/.f64 (.f64 x (.f64 z #s(literal 2 binary64))) (*.f64 y (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))))
(* 2 (/ z (* y (+ (exp x) (/ 1 (exp x))))))
(/.f64 (.f64 z #s(literal 2 binary64)) (.f64 y (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))))
(* 2 (/ z (* y (+ (exp x) (/ 1 (exp x))))))
(/.f64 (.f64 z #s(literal 2 binary64)) (.f64 y (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))))
(* 2 (/ z (* y (+ (exp x) (/ 1 (exp x))))))
(/.f64 (.f64 z #s(literal 2 binary64)) (.f64 y (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))))
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(/.f64 (.f64 z #s(literal 2 binary64)) (.f64 y (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))))
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(/.f64 (.f64 z #s(literal 2 binary64)) (.f64 y (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))))
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(/.f64 (.f64 z #s(literal 2 binary64)) (.f64 y (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))))
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(/.f64 (.f64 y (.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))) x)
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) x))
(/.f64 (.f64 y (.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))) x)
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) x))
(/.f64 (.f64 y (.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))) x)
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) x))
(/.f64 (.f64 y (.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))) x)
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) x))
(/.f64 (.f64 y (.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))) x)
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) x))
(/.f64 (.f64 y (.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))) x)
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) x))
(/.f64 (.f64 y (.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))) x)
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) x))
(/.f64 (.f64 y (.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))) x)
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) x))
(/.f64 (.f64 y (.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))) x)
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) x))
(/.f64 (.f64 y (.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))) x)
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) x))
(/.f64 (.f64 y (.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))) x)
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) x))
(/.f64 (.f64 y (.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))) x)
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) x))
(/.f64 (.f64 y (.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))) x)
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) x))
(/.f64 (.f64 y (.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))) x)
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) x))
(/.f64 (.f64 y (.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))) x)
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) x))
(/.f64 (.f64 y (.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))) x)
1
#s(literal 1 binary64)
(+ 1 (* 1/2 (pow x 2)))
(fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2)))))
(fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))
(fma.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(* 1/2 (+ (exp x) (/ 1 (exp x))))
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(* 1/2 (+ (exp x) (/ 1 (exp x))))
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(* 1/2 (+ (exp x) (/ 1 (exp x))))
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(* 1/2 (+ (exp x) (/ 1 (exp x))))
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(* 1/2 (+ (exp x) (/ 1 (exp x))))
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(* 1/2 (+ (exp x) (/ 1 (exp x))))
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(* 1/2 (+ (exp x) (/ 1 (exp x))))
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(* 1/2 (+ (exp x) (/ 1 (exp x))))
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
1
#s(literal 1 binary64)
(+ 1 (* 1/2 (pow x 2)))
(fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2)))))
(fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))
(fma.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(* 1/720 (pow x 6))
(*.f64 #s(literal 1/720 binary64) (pow.f64 x #s(literal 6 binary64)))
(* (pow x 6) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))
(.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 #s(literal 1/720 binary64) (/.f64 #s(literal 1/24 binary64) (.f64 x x))))
(* (pow x 6) (+ 1/720 (+ (/ 1/2 (pow x 4)) (* 1/24 (/ 1 (pow x 2))))))
(.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 (+.f64 #s(literal 1/720 binary64) (/.f64 #s(literal 1/24 binary64) (.f64 x x))) (/.f64 #s(literal 1/2 binary64) (.f64 x (.f64 x (*.f64 x x))))))
(* (pow x 6) (+ 1/720 (+ (/ 1/2 (pow x 4)) (+ (* 1/24 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))
(fma.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 (+.f64 #s(literal 1/720 binary64) (/.f64 #s(literal 1/24 binary64) (.f64 x x))) (/.f64 #s(literal 1/2 binary64) (.f64 x (.f64 x (.f64 x x))))) #s(literal 1 binary64))
(* 1/720 (pow x 6))
(*.f64 #s(literal 1/720 binary64) (pow.f64 x #s(literal 6 binary64)))
(* (pow x 6) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))
(.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 #s(literal 1/720 binary64) (/.f64 #s(literal 1/24 binary64) (.f64 x x))))
(* (pow x 6) (+ 1/720 (+ (/ 1/2 (pow x 4)) (* 1/24 (/ 1 (pow x 2))))))
(.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 (+.f64 #s(literal 1/720 binary64) (/.f64 #s(literal 1/24 binary64) (.f64 x x))) (/.f64 #s(literal 1/2 binary64) (.f64 x (.f64 x (*.f64 x x))))))
(* (pow x 6) (+ 1/720 (+ (/ 1/2 (pow x 4)) (+ (* 1/24 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))
(fma.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 (+.f64 #s(literal 1/720 binary64) (/.f64 #s(literal 1/24 binary64) (.f64 x x))) (/.f64 #s(literal 1/2 binary64) (.f64 x (.f64 x (.f64 x x))))) #s(literal 1 binary64))
1
#s(literal 1 binary64)
(+ 1 (* 1/2 (pow x 2)))
(fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2)))))
(fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))
(fma.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(* 1/2 (+ (exp x) (/ 1 (exp x))))
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(* 1/2 (+ (exp x) (/ 1 (exp x))))
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(* 1/2 (+ (exp x) (/ 1 (exp x))))
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(* 1/2 (+ (exp x) (/ 1 (exp x))))
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(* 1/2 (+ (exp x) (/ 1 (exp x))))
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(* 1/2 (+ (exp x) (/ 1 (exp x))))
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(* 1/2 (+ (exp x) (/ 1 (exp x))))
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(* 1/2 (+ (exp x) (/ 1 (exp x))))
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
1/24
#s(literal 1/24 binary64)
(+ 1/24 (* 1/720 (pow x 2)))
(fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))
(+ 1/24 (* 1/720 (pow x 2)))
(fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))
(+ 1/24 (* 1/720 (pow x 2)))
(fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))
(* 1/720 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/720 binary64))
(* (pow x 2) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))
(fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))
(* (pow x 2) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))
(fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))
(* (pow x 2) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))
(fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))
(* 1/720 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/720 binary64))
(* (pow x 2) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))
(fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))
(* (pow x 2) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))
(fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))
(* (pow x 2) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))
(fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))
(* 1/2 x)
(*.f64 x #s(literal 1/2 binary64))
(* x (+ 1/2 (* 1/24 (pow x 2))))
(.f64 x (fma.f64 x (.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)))
(* x (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2))))))
(.f64 x (fma.f64 x (.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)))
(* x (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2))))))
(.f64 x (fma.f64 x (.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)))
(* 1/720 (pow x 5))
(.f64 (.f64 x x) (.f64 x (.f64 (*.f64 x x) #s(literal 1/720 binary64))))
(* (pow x 5) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))
(.f64 (+.f64 #s(literal 1/720 binary64) (/.f64 #s(literal 1/24 binary64) (.f64 x x))) (.f64 (.f64 x (.f64 x (.f64 x x))) x))
(* (pow x 5) (+ 1/720 (+ (/ 1/2 (pow x 4)) (* 1/24 (/ 1 (pow x 2))))))
(.f64 (+.f64 (+.f64 #s(literal 1/720 binary64) (/.f64 #s(literal 1/24 binary64) (.f64 x x))) (/.f64 #s(literal 1/2 binary64) (.f64 x (.f64 x (.f64 x x))))) (.f64 (.f64 x (.f64 x (*.f64 x x))) x))
(* (pow x 5) (+ 1/720 (+ (/ 1/2 (pow x 4)) (* 1/24 (/ 1 (pow x 2))))))
(.f64 (+.f64 (+.f64 #s(literal 1/720 binary64) (/.f64 #s(literal 1/24 binary64) (.f64 x x))) (/.f64 #s(literal 1/2 binary64) (.f64 x (.f64 x (.f64 x x))))) (.f64 (.f64 x (.f64 x (*.f64 x x))) x))
(* 1/720 (pow x 5))
(.f64 (.f64 x x) (.f64 x (.f64 (*.f64 x x) #s(literal 1/720 binary64))))
(* (pow x 5) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))
(.f64 (+.f64 #s(literal 1/720 binary64) (/.f64 #s(literal 1/24 binary64) (.f64 x x))) (.f64 (.f64 x (.f64 x (.f64 x x))) x))
(* -1 (* (pow x 5) (- (* -1 (/ (+ 1/24 (* 1/2 (/ 1 (pow x 2)))) (pow x 2))) 1/720)))
(.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) x) (+.f64 #s(literal 1/720 binary64) (/.f64 (+.f64 #s(literal 1/24 binary64) (/.f64 #s(literal 1/2 binary64) (.f64 x x))) (*.f64 x x))))
(* -1 (* (pow x 5) (- (* -1 (/ (+ 1/24 (* 1/2 (/ 1 (pow x 2)))) (pow x 2))) 1/720)))
(.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) x) (+.f64 #s(literal 1/720 binary64) (/.f64 (+.f64 #s(literal 1/24 binary64) (/.f64 #s(literal 1/2 binary64) (.f64 x x))) (*.f64 x x))))
(* 1/720 x)
(*.f64 x #s(literal 1/720 binary64))
(* 1/720 x)
(*.f64 x #s(literal 1/720 binary64))
(* 1/720 x)
(*.f64 x #s(literal 1/720 binary64))
(* 1/720 x)
(*.f64 x #s(literal 1/720 binary64))
(* 1/720 x)
(*.f64 x #s(literal 1/720 binary64))
(* 1/720 x)
(*.f64 x #s(literal 1/720 binary64))
(* 1/720 x)
(*.f64 x #s(literal 1/720 binary64))
(* 1/720 x)
(*.f64 x #s(literal 1/720 binary64))
(* 1/720 x)
(*.f64 x #s(literal 1/720 binary64))
(* 1/720 x)
(*.f64 x #s(literal 1/720 binary64))
(* 1/720 x)
(*.f64 x #s(literal 1/720 binary64))
(* 1/720 x)
(*.f64 x #s(literal 1/720 binary64))
(* 1/2 x)
(*.f64 x #s(literal 1/2 binary64))
(* x (+ 1/2 (* 1/24 (pow x 2))))
(.f64 x (fma.f64 x (.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)))
(* x (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2))))))
(.f64 x (fma.f64 x (.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)))
(* x (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2))))))
(.f64 x (fma.f64 x (.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)))
(* 1/720 (pow x 5))
(.f64 (.f64 x x) (.f64 x (.f64 (*.f64 x x) #s(literal 1/720 binary64))))
(* (pow x 5) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))
(.f64 (+.f64 #s(literal 1/720 binary64) (/.f64 #s(literal 1/24 binary64) (.f64 x x))) (.f64 (.f64 x (.f64 x (.f64 x x))) x))
(* (pow x 5) (+ 1/720 (+ (/ 1/2 (pow x 4)) (* 1/24 (/ 1 (pow x 2))))))
(.f64 (+.f64 (+.f64 #s(literal 1/720 binary64) (/.f64 #s(literal 1/24 binary64) (.f64 x x))) (/.f64 #s(literal 1/2 binary64) (.f64 x (.f64 x (.f64 x x))))) (.f64 (.f64 x (.f64 x (*.f64 x x))) x))
(* (pow x 5) (+ 1/720 (+ (/ 1/2 (pow x 4)) (* 1/24 (/ 1 (pow x 2))))))
(.f64 (+.f64 (+.f64 #s(literal 1/720 binary64) (/.f64 #s(literal 1/24 binary64) (.f64 x x))) (/.f64 #s(literal 1/2 binary64) (.f64 x (.f64 x (.f64 x x))))) (.f64 (.f64 x (.f64 x (*.f64 x x))) x))
(* 1/720 (pow x 5))
(.f64 (.f64 x x) (.f64 x (.f64 (*.f64 x x) #s(literal 1/720 binary64))))
(* (pow x 5) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))
(.f64 (+.f64 #s(literal 1/720 binary64) (/.f64 #s(literal 1/24 binary64) (.f64 x x))) (.f64 (.f64 x (.f64 x (.f64 x x))) x))
(* -1 (* (pow x 5) (- (* -1 (/ (+ 1/24 (* 1/2 (/ 1 (pow x 2)))) (pow x 2))) 1/720)))
(.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) x) (+.f64 #s(literal 1/720 binary64) (/.f64 (+.f64 #s(literal 1/24 binary64) (/.f64 #s(literal 1/2 binary64) (.f64 x x))) (*.f64 x x))))
(* -1 (* (pow x 5) (- (* -1 (/ (+ 1/24 (* 1/2 (/ 1 (pow x 2)))) (pow x 2))) 1/720)))
(.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) x) (+.f64 #s(literal 1/720 binary64) (/.f64 (+.f64 #s(literal 1/24 binary64) (/.f64 #s(literal 1/2 binary64) (.f64 x x))) (*.f64 x x))))

rewrite562.0ms (4.1%)

Memory

-237.6MiB live, 452.1MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

4 346×	`lower-/.f32`
4 332×	`lower-/.f64`
4 122×	`lower-fma.f32`
4 110×	`lower-fma.f64`
4 008×	`lower-*.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	44	326
0	76	320
1	290	314
2	1840	314
0	8339	314

Stop Event

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

Counts

25 → 756

Calls

Call 1

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

Outputs
(exp.f64 (.f64 (log.f64 (.f64 x (/.f64 z (*.f64 y (cosh.f64 x))))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 (/.f64 (*.f64 y (cosh.f64 x)) x) (neg.f64 z)))
(-.f64 #s(literal 0 binary64) (.f64 #s(literal -1 binary64) (/.f64 (.f64 y (cosh.f64 x)) (*.f64 x z))))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 z)) (/.f64 (/.f64 (*.f64 y (cosh.f64 x)) x) (neg.f64 z)))
(neg.f64 (/.f64 (/.f64 (*.f64 y (cosh.f64 x)) x) (neg.f64 z)))
(neg.f64 (.f64 #s(literal -1 binary64) (/.f64 (.f64 y (cosh.f64 x)) (*.f64 x z))))
(/.f64 #s(literal 1 binary64) (.f64 x (/.f64 z (.f64 y (cosh.f64 x)))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (.f64 y (cosh.f64 x))) (/.f64 #s(literal 1 binary64) (.f64 x z))))
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(.f64 (.f64 x (fma.f64 (.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64)))) (.f64 x (.f64 (.f64 x (fma.f64 x (.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) (.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64)))))) #s(literal 1/8 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 x (.f64 (.f64 x (fma.f64 x (.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) (.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))))) #s(literal 1/4 binary64)) (.f64 x (.f64 (.f64 x (fma.f64 x (.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) #s(literal 1/2 binary64))))))
(.f64 (.f64 x (fma.f64 x (.f64 (.f64 x (fma.f64 x (.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) (.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))))) #s(literal -1/4 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) #s(literal -1/2 binary64))))
(.f64 (.f64 (fma.f64 (.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64)))) (.f64 x (.f64 (.f64 x (fma.f64 x (.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) (.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64)))))) #s(literal 1/8 binary64)) x) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 x (.f64 (.f64 x (fma.f64 x (.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) (.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))))) #s(literal 1/4 binary64)) (.f64 x (.f64 (.f64 x (fma.f64 x (.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) #s(literal 1/2 binary64))))))
(.f64 (.f64 (fma.f64 x (.f64 (.f64 x (fma.f64 x (.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) (.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))))) #s(literal -1/4 binary64)) x) (/.f64 #s(literal 1 binary64) (fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) #s(literal -1/2 binary64))))

eval157.0ms (1.1%)

Memory: 47.9MiB live, 347.8MiB allocated
Compiler: Compiled 30 689 to 2 386 computations (92.2% saved)

prune587.0ms (4.2%)

Memory

-10.7MiB live, 558.9MiB allocated

Pruning

37 alts after pruning (33 fresh and 4 done)

	Pruned	Kept	Total
New	1 371	14	1 385
Fresh	7	19	26
Picked	2	3	5
Done	0	1	1
Total	1 380	37	1 417

Accuracy

100.0%

Counts

1 417 → 37

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	96.6%	(/.f64 (/.f64 (*.f64 y (cosh.f64 x)) x) z)
	79.6%	(/.f64 (.f64 #s(approx (cosh x) (fma.f64 (fma.f64 (.f64 x x) #s(approx (+ (* (* x x) 1/720) 1/24) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) (/.f64 y x)) z)
	81.6%	(/.f64 (.f64 #s(approx (cosh x) (fma.f64 (.f64 x (fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) #s(literal 1/2 binary64))) x #s(literal 1 binary64))) (/.f64 y x)) z)
	56.4%	(/.f64 (.f64 #s(approx (cosh x) (fma.f64 x (/.f64 (.f64 (fma.f64 x (.f64 (.f64 x (fma.f64 x (.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) (.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))))) #s(literal -1/4 binary64)) x) (fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) #s(literal -1/2 binary64))) #s(literal 1 binary64))) (/.f64 y x)) z)
✓	81.6%	(/.f64 (.f64 #s(approx (cosh x) (fma.f64 x (.f64 x (fma.f64 (.f64 x x) (fma.f64 (.f64 x #s(literal 1/720 binary64)) x #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64))) (/.f64 y x)) z)
	81.1%	(/.f64 (.f64 #s(approx (cosh x) (fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(approx (+ ( (* x x) 1/720) 1/24) (.f64 (.f64 x x) #s(literal 1/720 binary64))) #s(literal 1/2 binary64))) #s(literal 1 binary64))) (/.f64 y x)) z)
	60.4%	(/.f64 (.f64 #s(approx (cosh x) (fma.f64 x #s(approx ( x (+ (* (* x x) (+ (* (* x x) 1/720) 1/24)) 1/2)) (.f64 (+.f64 #s(literal 1/720 binary64) (/.f64 #s(literal 1/24 binary64) (.f64 x x))) (.f64 (.f64 x (.f64 x (.f64 x x))) x))) #s(literal 1 binary64))) (/.f64 y x)) z)
	80.7%	(/.f64 (.f64 #s(approx (cosh x) (fma.f64 x #s(approx ( x (+ (* (* x x) (+ (* (* x x) 1/720) 1/24)) 1/2)) (.f64 (.f64 x x) (.f64 x (.f64 (*.f64 x x) #s(literal 1/720 binary64))))) #s(literal 1 binary64))) (/.f64 y x)) z)
	55.2%	(/.f64 (.f64 #s(approx (cosh x) (/.f64 (fma.f64 (.f64 x (fma.f64 (.f64 x x) #s(approx (+ ( (* x x) 1/720) 1/24) #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) (.f64 x (.f64 x (.f64 x (fma.f64 (.f64 x x) #s(approx (+ (* (* x x) 1/720) 1/24) #s(literal 1/24 binary64)) #s(literal 1/2 binary64))))) #s(literal -1 binary64)) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(approx (+ (* (* x x) 1/720) 1/24) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64)))) (/.f64 y x)) z)
	90.6%	(/.f64 (.f64 y (/.f64 #s(approx (cosh x) (fma.f64 (.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))) z)) x)
	82.0%	(/.f64 (.f64 y (/.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (.f64 x x) #s(literal 1 binary64))) z)) x)
	86.4%	(/.f64 (.f64 y (cosh.f64 x)) (.f64 x z))
	81.1%	(/.f64 (.f64 y #s(approx (cosh x) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64)))) (*.f64 x z))
	79.5%	(/.f64 (.f64 y #s(approx (cosh x) (fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(approx (+ ( (* x x) 1/720) 1/24) #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64)))) (*.f64 x z))
	35.7%	(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (.f64 (fma.f64 (.f64 y (fma.f64 x (.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) (.f64 x x) y) (-.f64 (.f64 x (.f64 x (.f64 y (fma.f64 x (.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64))))) y)) (.f64 (-.f64 (.f64 x (.f64 x (.f64 y (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64))))) y) x))) z)
	46.0%	(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 #s(approx (+ (* x (* x (* y (+ (* x (* x 1/24)) 1/2)))) y) (.f64 x (.f64 y (.f64 x (.f64 x (*.f64 x #s(literal 1/24 binary64))))))) x)) z)
	49.4%	(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 y x)) z)
	45.3%	(/.f64 #s(approx (* (cosh x) (/ y x)) #s(approx (/ (+ (* x (* x (* y (+ (* x (* x 1/24)) 1/2)))) y) x) (.f64 y (.f64 x (.f64 x (.f64 x #s(literal 1/24 binary64))))))) z)
▶	44.7%	(/.f64 #s(approx (* (cosh x) (/ y x)) #s(approx (/ (+ (* x (* x (* y (+ (* x (* x 1/24)) 1/2)))) y) x) (.f64 x (.f64 y (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)))))) z)
▶	28.6%	(/.f64 #s(approx (* (cosh x) (/ y x)) #s(approx (+ (* y (* x 1/2)) (/ y x)) (.f64 #s(literal 1/2 binary64) (.f64 y x)))) z)
	86.5%	(/.f64 #s(approx (* y (/ (cosh x) z)) (fma.f64 y (/.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 x x) #s(literal 1 binary64)) z) (.f64 (/.f64 (.f64 y (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) z) (.f64 (.f64 x x) (*.f64 x x))))) x)
	55.7%	(/.f64 #s(approx (* y (/ (cosh x) z)) (/.f64 y z)) x)
	55.2%	(/.f64 #s(literal 1 binary64) (.f64 x #s(approx (/ z ( y (cosh x))) (/.f64 z y))))
▶	81.4%	(.f64 (/.f64 #s(approx (cosh x) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))) (*.f64 x z)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)))
	81.9%	(.f64 (/.f64 #s(approx (cosh x) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))) z) (/.f64 y x))
	80.7%	(.f64 (/.f64 #s(approx (cosh x) (fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(approx (+ ( (* x x) 1/720) 1/24) #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64))) z) (/.f64 y x))
▶	77.2%	(.f64 (/.f64 y (.f64 x z)) #s(approx (cosh x) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))))
	81.5%	(.f64 (/.f64 #s(literal 1 binary64) z) (.f64 (/.f64 y x) #s(approx (cosh x) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)))))
	80.8%	(.f64 (.f64 y #s(approx (cosh x) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (.f64 x z)))
✓	73.2%	#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (fma.f64 y (.f64 #s(literal 1/2 binary64) (.f64 x x)) y) (*.f64 x z)))
	78.0%	#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (fma.f64 x (.f64 x (.f64 y (fma.f64 x (.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)))) y) (.f64 x z)))
	47.5%	#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (/.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 (.f64 x x) y) y) (-.f64 (.f64 (.f64 y (.f64 x #s(literal 1/2 binary64))) x) y)) (-.f64 (.f64 (.f64 y (.f64 x #s(literal 1/2 binary64))) x) y)) (.f64 x z)))
	73.2%	#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (.f64 (fma.f64 x (.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)) y) (*.f64 x z)))
✓	49.0%	#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 y (*.f64 x z)))
	49.5%	#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 #s(literal 1 binary64) (*.f64 z (/.f64 x y))))
	48.7%	#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) z) y))
✓	48.7%	#s(approx (/ (* (cosh x) (/ y x)) z) (.f64 (/.f64 #s(literal 1 binary64) (.f64 x z)) y))

Compiler

Compiled 1 596 to 841 computations (47.3% saved)

simplify502.0ms (3.6%)

Memory

6.6MiB live, 395.5MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	#s(approx (cosh x) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
✓	cost-diff	0	(/.f64 #s(approx (cosh x) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))) (.f64 x z))
✓	cost-diff	0	(.f64 (/.f64 #s(approx (cosh x) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))) (*.f64 x z)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)))
✓	cost-diff	1408	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y))
✓	cost-diff	0	#s(approx (cosh x) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
✓	cost-diff	0	(*.f64 x z)
✓	cost-diff	0	(/.f64 y (*.f64 x z))
✓	cost-diff	0	(.f64 (/.f64 y (.f64 x z)) #s(approx (cosh x) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))))
✓	cost-diff	0	(.f64 x (.f64 y (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64))))
✓	cost-diff	0	#s(approx (/ (+ (* x (* x (* y (+ (* x (* x 1/24)) 1/2)))) y) x) (.f64 x (.f64 y (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)))))
✓	cost-diff	0	#s(approx (* (cosh x) (/ y x)) #s(approx (/ (+ (* x (* x (* y (+ (* x (* x 1/24)) 1/2)))) y) x) (.f64 x (.f64 y (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64))))))
✓	cost-diff	0	(/.f64 #s(approx (* (cosh x) (/ y x)) #s(approx (/ (+ (* x (* x (* y (+ (* x (* x 1/24)) 1/2)))) y) x) (.f64 x (.f64 y (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)))))) z)
✓	cost-diff	0	(.f64 #s(literal 1/2 binary64) (.f64 y x))
✓	cost-diff	0	#s(approx (+ (* y (* x 1/2)) (/ y x)) (.f64 #s(literal 1/2 binary64) (.f64 y x)))
✓	cost-diff	0	#s(approx (* (cosh x) (/ y x)) #s(approx (+ (* y (* x 1/2)) (/ y x)) (.f64 #s(literal 1/2 binary64) (.f64 y x))))
✓	cost-diff	0	(/.f64 #s(approx (* (cosh x) (/ y x)) #s(approx (+ (* y (* x 1/2)) (/ y x)) (.f64 #s(literal 1/2 binary64) (.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)) x)
✓	cost-diff	384	(/.f64 (/.f64 (*.f64 y (cosh.f64 x)) x) z)

Rules

6 880×	`lower-fma.f32`
6 872×	`lower-fma.f64`
3 892×	`lower-*.f32`
3 872×	`lower-*.f64`
1 412×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	49	445
0	77	437
1	158	437
2	413	437
3	1041	437
4	2057	437
5	2803	437
6	3671	437
7	5409	437
8	5664	437
9	5835	437
10	6133	437
11	6935	437
0	8184	431

Stop Event

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

Calls

Call 1

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

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

localize301.0ms (2.2%)

Memory

-7.0MiB live, 334.5MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.7%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y))
✓	accuracy	95.8%	(.f64 (/.f64 #s(approx (cosh x) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))) (*.f64 x z)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)))
✓	accuracy	92.1%	(/.f64 #s(approx (cosh x) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))) (.f64 x z))
✓	accuracy	91.1%	#s(approx (cosh x) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
✓	accuracy	99.9%	(fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))
✓	accuracy	92.4%	(/.f64 y (*.f64 x z))
✓	accuracy	91.1%	#s(approx (cosh x) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
✓	accuracy	91.0%	(.f64 (/.f64 y (.f64 x z)) #s(approx (cosh x) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))))
✓	accuracy	96.6%	(/.f64 #s(approx (* (cosh x) (/ y x)) #s(approx (/ (+ (* x (* x (* y (+ (* x (* x 1/24)) 1/2)))) y) x) (.f64 x (.f64 y (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)))))) z)
✓	accuracy	95.2%	(.f64 y (fma.f64 x (.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)))
✓	accuracy	83.9%	#s(approx (* (cosh x) (/ y x)) #s(approx (/ (+ (* x (* x (* y (+ (* x (* x 1/24)) 1/2)))) y) x) (.f64 x (.f64 y (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64))))))
✓	accuracy	51.9%	#s(approx (/ (+ (* x (* x (* y (+ (* x (* x 1/24)) 1/2)))) y) x) (.f64 x (.f64 y (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)))))
✓	accuracy	100.0%	(.f64 #s(literal 1/2 binary64) (.f64 y x))
✓	accuracy	96.6%	(/.f64 #s(approx (* (cosh x) (/ y x)) #s(approx (+ (* y (* x 1/2)) (/ y x)) (.f64 #s(literal 1/2 binary64) (.f64 y x)))) z)
✓	accuracy	63.8%	#s(approx (* (cosh x) (/ y x)) #s(approx (+ (* y (* x 1/2)) (/ y x)) (.f64 #s(literal 1/2 binary64) (.f64 y x))))
✓	accuracy	51.7%	#s(approx (+ (* y (* x 1/2)) (/ y x)) (.f64 #s(literal 1/2 binary64) (.f64 y x)))
✓	accuracy	100.0%	(*.f64 y (cosh.f64 x))
✓	accuracy	100.0%	(cosh.f64 x)
✓	accuracy	100.0%	(/.f64 (*.f64 y (cosh.f64 x)) x)
✓	accuracy	96.6%	(/.f64 (/.f64 (*.f64 y (cosh.f64 x)) x) z)

Samples

135.0ms

256×

valid

Compiler

Compiled 273 to 43 computations (84.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 111.0ms

ival-div: 61.0ms (54.7% of total)

ival-mult: 25.0ms (22.4% of total)

ival-add: 14.0ms (12.6% of total)

const: 8.0ms (7.2% of total)

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

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

exact: 0.0ms (0% of total)

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

series119.0ms (0.9%)

Memory

29.4MiB live, 68.7MiB allocated

Counts

21 → 528

Calls

Call 1

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

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

Calls

132 calls:

Time	Variable		Point	Expression
1.0ms	x	@	-inf	(/ (cosh x) (* x z))
1.0ms	y	@	inf	(* x (* y (+ (* x (* x 1/24)) 1/2)))
0.0ms	x	@	inf	(/ (cosh x) (* x z))
0.0ms	y	@	-inf	(/ 1 (/ 1 y))
0.0ms	y	@	-inf	(* x (* y (+ (* x (* x 1/24)) 1/2)))

simplify1.1s (7.8%)

Memory

-15.6MiB live, 595.7MiB allocated

Algorithm

1×	egg-herbie

Rules

19 682×	`lower-fma.f64`
19 682×	`lower-fma.f32`
4 826×	`lower-*.f64`
4 826×	`lower-*.f32`
2 260×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	151	5870
1	468	5862
2	1500	5744
3	3784	5652
4	7686	5652
0	8065	5469

Stop Event

1×	iter limit
1×	node limit

Counts

528 → 515

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

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

rewrite526.0ms (3.8%)

Memory

-8.7MiB live, 604.7MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

4 798×	`lower-fma.f32`
4 790×	`lower-fma.f64`
4 728×	`lower-*.f32`
4 708×	`lower-*.f64`
4 450×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	49	316
0	77	308
1	295	308
2	2188	308
0	8233	302

Stop Event

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

Counts

21 → 892

Calls

Call 1

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

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

eval187.0ms (1.3%)

Memory: -8.7MiB live, 425.8MiB allocated
Compiler: Compiled 31 314 to 2 296 computations (92.7% saved)

prune317.0ms (2.3%)

Memory

2.0MiB live, 488.6MiB allocated

Pruning

44 alts after pruning (37 fresh and 7 done)

	Pruned	Kept	Total
New	1 473	14	1 487
Fresh	5	23	28
Picked	2	3	5
Done	0	4	4
Total	1 480	44	1 524

Accuracy

100.0%

Counts

1 524 → 44

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	96.6%	(/.f64 (/.f64 (*.f64 y (cosh.f64 x)) x) z)
	81.0%	(/.f64 (/.f64 (.f64 y #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (.f64 x x) #s(literal 1 binary64)))) x) z)
	81.6%	(/.f64 (.f64 #s(approx (cosh x) (fma.f64 (.f64 x (fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) #s(literal 1/2 binary64))) x #s(literal 1 binary64))) (/.f64 y x)) z)
	56.4%	(/.f64 (.f64 #s(approx (cosh x) (fma.f64 x (/.f64 (.f64 (fma.f64 x (.f64 (.f64 x (fma.f64 x (.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) (.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))))) #s(literal -1/4 binary64)) x) (fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) #s(literal -1/2 binary64))) #s(literal 1 binary64))) (/.f64 y x)) z)
✓	81.6%	(/.f64 (.f64 #s(approx (cosh x) (fma.f64 x (.f64 x (fma.f64 (.f64 x x) (fma.f64 (.f64 x #s(literal 1/720 binary64)) x #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64))) (/.f64 y x)) z)
	81.1%	(/.f64 (.f64 #s(approx (cosh x) (fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(approx (+ ( (* x x) 1/720) 1/24) (.f64 (.f64 x x) #s(literal 1/720 binary64))) #s(literal 1/2 binary64))) #s(literal 1 binary64))) (/.f64 y x)) z)
	60.4%	(/.f64 (.f64 #s(approx (cosh x) (fma.f64 x #s(approx ( x (+ (* (* x x) (+ (* (* x x) 1/720) 1/24)) 1/2)) (.f64 (+.f64 #s(literal 1/720 binary64) (/.f64 #s(literal 1/24 binary64) (.f64 x x))) (.f64 (.f64 x (.f64 x (.f64 x x))) x))) #s(literal 1 binary64))) (/.f64 y x)) z)
	80.7%	(/.f64 (.f64 #s(approx (cosh x) (fma.f64 x #s(approx ( x (+ (* (* x x) (+ (* (* x x) 1/720) 1/24)) 1/2)) (.f64 (.f64 x x) (.f64 x (.f64 (*.f64 x x) #s(literal 1/720 binary64))))) #s(literal 1 binary64))) (/.f64 y x)) z)
	55.2%	(/.f64 (.f64 #s(approx (cosh x) (/.f64 (fma.f64 (.f64 x (fma.f64 (.f64 x x) #s(approx (+ ( (* x x) 1/720) 1/24) #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) (.f64 x (.f64 x (.f64 x (fma.f64 (.f64 x x) #s(approx (+ (* (* x x) 1/720) 1/24) #s(literal 1/24 binary64)) #s(literal 1/2 binary64))))) #s(literal -1 binary64)) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(approx (+ (* (* x x) 1/720) 1/24) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64)))) (/.f64 y x)) z)
	90.6%	(/.f64 (.f64 y (/.f64 #s(approx (cosh x) (fma.f64 (.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))) z)) x)
	82.0%	(/.f64 (.f64 y (/.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (.f64 x x) #s(literal 1 binary64))) z)) x)
	86.4%	(/.f64 (.f64 y (cosh.f64 x)) (.f64 x z))
	81.1%	(/.f64 (.f64 y #s(approx (cosh x) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64)))) (*.f64 x z))
	79.5%	(/.f64 (.f64 y #s(approx (cosh x) (fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(approx (+ ( (* x x) 1/720) 1/24) #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64)))) (*.f64 x z))
	77.0%	(/.f64 (neg.f64 #s(approx (cosh x) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)))) (.f64 (/.f64 #s(literal -1 binary64) y) (*.f64 x z)))
	49.4%	(/.f64 #s(approx (/ (* y (cosh x)) x) (/.f64 y x)) z)
	35.7%	(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (.f64 (fma.f64 (.f64 y (fma.f64 x (.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) (.f64 x x) y) (-.f64 (.f64 x (.f64 x (.f64 y (fma.f64 x (.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64))))) y)) (.f64 (-.f64 (.f64 x (.f64 x (.f64 y (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64))))) y) x))) z)
	46.0%	(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 #s(approx (+ (* x (* x (* y (+ (* x (* x 1/24)) 1/2)))) y) (.f64 x (.f64 y (.f64 x (.f64 x (*.f64 x #s(literal 1/24 binary64))))))) x)) z)
	45.3%	(/.f64 #s(approx (* (cosh x) (/ y x)) #s(approx (/ (+ (* x (* x (* y (+ (* x (* x 1/24)) 1/2)))) y) x) (.f64 y (.f64 x (.f64 x (.f64 x #s(literal 1/24 binary64))))))) z)
	44.7%	(/.f64 #s(approx (* (cosh x) (/ y x)) #s(approx (/ (+ (* x (* x (* y (+ (* x (* x 1/24)) 1/2)))) y) x) (.f64 x (fma.f64 (.f64 y (.f64 x x)) #s(literal 1/24 binary64) (.f64 y #s(literal 1/2 binary64)))))) z)
	44.7%	(/.f64 #s(approx (* (cosh x) (/ y x)) #s(approx (/ (+ (* x (* x (* y (+ (* x (* x 1/24)) 1/2)))) y) x) (.f64 x (fma.f64 (.f64 x x) (.f64 #s(literal 1/24 binary64) y) (.f64 y #s(literal 1/2 binary64)))))) z)
✓	44.7%	(/.f64 #s(approx (* (cosh x) (/ y x)) #s(approx (/ (+ (* x (* x (* y (+ (* x (* x 1/24)) 1/2)))) y) x) (.f64 x (.f64 y (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)))))) z)
	43.4%	(/.f64 #s(approx (* (cosh x) (/ y x)) #s(approx (/ (+ (* x (* x (* y (+ (* x (* x 1/24)) 1/2)))) y) x) (.f64 x (.f64 y (.f64 (.f64 x x) #s(literal 1/24 binary64)))))) z)
✓	28.6%	(/.f64 #s(approx (* (cosh x) (/ y x)) #s(approx (+ (* y (* x 1/2)) (/ y x)) (.f64 #s(literal 1/2 binary64) (.f64 y x)))) z)
	86.5%	(/.f64 #s(approx (* y (/ (cosh x) z)) (fma.f64 y (/.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 x x) #s(literal 1 binary64)) z) (.f64 (/.f64 (.f64 y (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) z) (.f64 (.f64 x x) (*.f64 x x))))) x)
	55.7%	(/.f64 #s(approx (* y (/ (cosh x) z)) (/.f64 y z)) x)
	55.2%	(/.f64 #s(literal 1 binary64) (.f64 x #s(approx (/ z ( y (cosh x))) (/.f64 z y))))
	81.4%	(.f64 (/.f64 (/.f64 #s(approx (cosh x) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))) (*.f64 x z)) (pow.f64 y #s(literal -1/2 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal -1/2 binary64))))
	81.5%	(.f64 (/.f64 #s(approx (cosh x) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))) (*.f64 x z)) y)
	80.7%	(.f64 (/.f64 #s(approx (cosh x) (fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(approx (+ ( (* x x) 1/720) 1/24) #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64))) z) (/.f64 y x))
	76.8%	(.f64 (/.f64 y (.f64 x z)) #s(approx (cosh x) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(approx (+ (* (* x x) 1/720) 1/24) (.f64 (.f64 x x) #s(literal 1/720 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64))))
	75.3%	(.f64 (/.f64 y (.f64 x z)) #s(approx (cosh x) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(approx (+ (* (* x x) 1/720) 1/24) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))))
	67.9%	(.f64 (/.f64 y (.f64 x z)) #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))))
	80.8%	(.f64 (/.f64 #s(literal 1 binary64) (.f64 x z)) (.f64 y #s(approx (cosh x) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)))))
	81.5%	(.f64 (/.f64 #s(literal 1 binary64) z) (.f64 (/.f64 y x) #s(approx (cosh x) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)))))
	46.6%	(.f64 (/.f64 #s(literal 1 binary64) z) #s(approx ( (cosh x) (/ y x)) #s(approx (/ (+ (* x (* x (* y (+ (* x (* x 1/24)) 1/2)))) y) x) (.f64 y (.f64 x (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)))))))
	28.6%	(.f64 (/.f64 #s(literal 1 binary64) z) #s(approx ( (cosh x) (/ y x)) #s(approx (+ (* y (* x 1/2)) (/ y x)) (.f64 y (.f64 x #s(literal 1/2 binary64))))))
✓	73.2%	#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (fma.f64 y (.f64 #s(literal 1/2 binary64) (.f64 x x)) y) (*.f64 x z)))
	78.0%	#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (fma.f64 x (.f64 x (.f64 y (fma.f64 x (.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)))) y) (.f64 x z)))
	47.5%	#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (/.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 (.f64 x x) y) y) (-.f64 (.f64 (.f64 y (.f64 x #s(literal 1/2 binary64))) x) y)) (-.f64 (.f64 (.f64 y (.f64 x #s(literal 1/2 binary64))) x) y)) (.f64 x z)))
✓	49.0%	#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 y (*.f64 x z)))
	49.5%	#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 #s(literal 1 binary64) (*.f64 z (/.f64 x y))))
	48.7%	#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) z) y))
✓	48.7%	#s(approx (/ (* (cosh x) (/ y x)) z) (.f64 (/.f64 #s(literal 1 binary64) (.f64 x z)) y))

Compiler

Compiled 2 222 to 768 computations (65.4% saved)

regimes105.0ms (0.8%)

Memory

-0.2MiB live, 191.0MiB allocated

Counts

69 → 2

Calls

Call 1

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

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

Calls

5 calls:

23.0ms	y
20.0ms	z
20.0ms	(*.f64 (cosh.f64 x) (/.f64 y x))
20.0ms	x
18.0ms	(/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z)

Results

Accuracy	Segments	Branch
97.2%	1	`x`
99.8%	2	`y`
99.8%	2	`z`
99.8%	2	`(/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z)`
99.8%	2	`(*.f64 (cosh.f64 x) (/.f64 y x))`

Compiler

Compiled 32 to 22 computations (31.3% saved)

regimes37.0ms (0.3%)

Memory

24.5MiB live, 62.7MiB allocated

Counts

66 → 2

Calls

Call 1

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

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

Calls

2 calls:

18.0ms	(*.f64 (cosh.f64 x) (/.f64 y x))
16.0ms	(/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z)

Results

Accuracy	Segments	Branch
99.8%	2	`(/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z)`
99.8%	2	`(*.f64 (cosh.f64 x) (/.f64 y x))`

Compiler

Compiled 20 to 13 computations (35% saved)

regimes62.0ms (0.5%)

Memory

-25.0MiB live, 56.0MiB allocated

Counts

65 → 2

Calls

Call 1

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

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

Calls

2 calls:

36.0ms	(/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z)
23.0ms	(*.f64 (cosh.f64 x) (/.f64 y x))

Results

Accuracy	Segments	Branch
99.8%	2	`(/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z)`
99.8%	2	`(*.f64 (cosh.f64 x) (/.f64 y x))`

Compiler

Compiled 20 to 13 computations (35% saved)

regimes57.0ms (0.4%)

Memory

31.3MiB live, 142.3MiB allocated

Counts

63 → 2

Calls

Call 1

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

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

Calls

3 calls:

19.0ms	(*.f64 (cosh.f64 x) (/.f64 y x))
18.0ms	y
17.0ms	(/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z)

Results

Accuracy	Segments	Branch
97.2%	1	`y`
99.8%	2	`(/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z)`
99.5%	2	`(*.f64 (cosh.f64 x) (/.f64 y x))`

Compiler

Compiled 24 to 16 computations (33.3% saved)

regimes62.0ms (0.4%)

Memory

-4.1MiB live, 149.0MiB allocated

Counts

62 → 2

Calls

Call 1

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

Outputs

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

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

Calls

3 calls:

22.0ms	z
21.0ms	(/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z)
16.0ms	(*.f64 (cosh.f64 x) (/.f64 y x))

Results

Accuracy	Segments	Branch
99.5%	2	`(*.f64 (cosh.f64 x) (/.f64 y x))`
98.7%	2	`z`
99.5%	2	`(/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z)`

Compiler

Compiled 24 to 16 computations (33.3% saved)

regimes92.0ms (0.7%)

Memory

-5.0MiB live, 172.6MiB allocated

Counts

61 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

5 calls:

22.0ms	(*.f64 (cosh.f64 x) (/.f64 y x))
18.0ms	x
17.0ms	z
17.0ms	y
15.0ms	(/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z)

Results

Accuracy	Segments	Branch
90.6%	1	`z`
96.7%	3	`x`
90.6%	1	`y`
93.7%	2	`(/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z)`
93.4%	2	`(*.f64 (cosh.f64 x) (/.f64 y x))`

Compiler

Compiled 32 to 22 computations (31.3% saved)

regimes20.0ms (0.1%)

Memory

-3.1MiB live, 39.4MiB allocated

Counts

59 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

1 calls:

17.0ms

Results

Accuracy	Segments	Branch
96.4%	3	`x`

Compiler

Compiled 4 to 3 computations (25% saved)

regimes34.0ms (0.2%)

Memory

-3.1MiB live, 73.8MiB allocated

Counts

58 → 2

Calls

Call 1

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

Outputs

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

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

Calls

2 calls:

16.0ms	x
15.0ms	(/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z)

Results

Accuracy	Segments	Branch
93.4%	2	`(/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z)`
93.5%	2	`x`

Compiler

Compiled 15 to 10 computations (33.3% saved)

regimes65.0ms (0.5%)

Memory

1.4MiB live, 79.4MiB allocated

Counts

57 → 2

Calls

Call 1

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

Outputs

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

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

Calls

3 calls:

32.0ms	(*.f64 (cosh.f64 x) (/.f64 y x))
16.0ms	x
14.0ms	(/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z)

Results

Accuracy	Segments	Branch
93.4%	2	`(/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z)`
93.4%	2	`(*.f64 (cosh.f64 x) (/.f64 y x))`
92.3%	2	`x`

Compiler

Compiled 24 to 16 computations (33.3% saved)

regimes49.0ms (0.4%)

Memory

10.6MiB live, 48.0MiB allocated

Counts

46 → 2

Calls

Call 1

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

Outputs

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

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

Calls

2 calls:

35.0ms	(*.f64 (cosh.f64 x) (/.f64 y x))
11.0ms	(/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z)

Results

Accuracy	Segments	Branch
93.4%	2	`(/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z)`
93.4%	2	`(*.f64 (cosh.f64 x) (/.f64 y x))`

Compiler

Compiled 20 to 13 computations (35% saved)

regimes30.0ms (0.2%)

Memory

-7.9MiB live, 64.3MiB allocated

Counts

45 → 2

Calls

Call 1

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

Outputs

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

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

Calls

2 calls:

15.0ms	(/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z)
13.0ms	(*.f64 (cosh.f64 x) (/.f64 y x))

Results

Accuracy	Segments	Branch
93.3%	2	`(/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z)`
93.3%	2	`(*.f64 (cosh.f64 x) (/.f64 y x))`

Compiler

Compiled 20 to 13 computations (35% saved)

regimes24.0ms (0.2%)

Memory

2.3MiB live, 48.0MiB allocated

Counts

36 → 2

Calls

Call 1

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

Outputs

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

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

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
93.3%	2	`(*.f64 (cosh.f64 x) (/.f64 y x))`
93.3%	2	`(/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z)`

Compiler

Compiled 20 to 13 computations (35% saved)

regimes50.0ms (0.4%)

Memory

-4.0MiB live, 110.1MiB allocated

Counts

31 → 1

Calls

Call 1

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

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

Calls

5 calls:

11.0ms	x
10.0ms	y
10.0ms	(*.f64 (cosh.f64 x) (/.f64 y x))
9.0ms	z
8.0ms	(/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z)

Results

Accuracy	Segments	Branch
87.8%	1	`y`
87.8%	1	`z`
87.8%	1	`x`
87.8%	1	`(/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z)`
87.8%	1	`(*.f64 (cosh.f64 x) (/.f64 y x))`

Compiler

Compiled 32 to 22 computations (31.3% saved)

regimes53.0ms (0.4%)

Memory

-12.3MiB live, 86.1MiB allocated

Counts

30 → 2

Calls

Call 1

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

Outputs

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

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

Calls

5 calls:

16.0ms	(/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z)
9.0ms	x
9.0ms	y
9.0ms	z
8.0ms	(*.f64 (cosh.f64 x) (/.f64 y x))

Results

Accuracy	Segments	Branch
89.3%	2	`x`
86.7%	1	`z`
86.7%	1	`y`
89.3%	2	`(/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z)`
89.3%	2	`(*.f64 (cosh.f64 x) (/.f64 y x))`

Compiler

Compiled 32 to 22 computations (31.3% saved)

regimes251.0ms (1.8%)

Memory

-2.4MiB live, 75.0MiB allocated

Counts

28 → 2

Calls

Call 1

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

Outputs

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

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

Calls

5 calls:

213.0ms	(*.f64 (cosh.f64 x) (/.f64 y x))
13.0ms	z
8.0ms	x
8.0ms	y
7.0ms	(/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z)

Results

Accuracy	Segments	Branch
87.4%	4	`z`
84.3%	2	`y`
88.1%	2	`x`
84.8%	2	`(/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z)`
84.7%	2	`(*.f64 (cosh.f64 x) (/.f64 y x))`

Compiler

Compiled 32 to 22 computations (31.3% saved)

regimes9.0ms (0.1%)

Memory

20.6MiB live, 20.6MiB allocated

Counts

27 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

1 calls:

8.0ms

Results

Accuracy	Segments	Branch
89.5%	3	`x`

Compiler

Compiled 4 to 3 computations (25% saved)

regimes11.0ms (0.1%)

Memory

-24.5MiB live, 15.4MiB allocated

Counts

26 → 2

Calls

Call 1

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

Outputs

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

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

Calls

1 calls:

8.0ms

Results

Accuracy	Segments	Branch
87.4%	2	`x`

Compiler

Compiled 4 to 3 computations (25% saved)

regimes7.0ms (0.1%)

Memory

16.4MiB live, 16.4MiB allocated

Counts

21 → 2

Calls

Call 1

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

Outputs

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

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

Calls

1 calls:

6.0ms

Results

Accuracy	Segments	Branch
87.0%	2	`x`

Compiler

Compiled 4 to 3 computations (25% saved)

regimes7.0ms (0.1%)

Memory

-23.9MiB live, 14.5MiB allocated

Counts

18 → 2

Calls

Call 1

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

Outputs

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

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

Calls

1 calls:

6.0ms

Results

Accuracy	Segments	Branch
87.0%	2	`x`

Compiler

Compiled 4 to 3 computations (25% saved)

regimes4.0ms (0%)

Memory

11.8MiB live, 11.8MiB allocated

Counts

11 → 2

Calls

Call 1

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

Outputs

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

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

Calls

1 calls:

4.0ms

Results

Accuracy	Segments	Branch
85.2%	2	`x`

Compiler

Compiled 4 to 3 computations (25% saved)

regimes19.0ms (0.1%)

Memory

6.0MiB live, 45.4MiB allocated

Counts

10 → 2

Calls

Call 1

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

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

Calls

5 calls:

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

Results

Accuracy	Segments	Branch
58.3%	2	`y`
58.3%	2	`z`
60.7%	2	`(*.f64 (cosh.f64 x) (/.f64 y x))`
60.0%	3	`(/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z)`
69.0%	2	`x`

Compiler

Compiled 32 to 22 computations (31.3% saved)

regimes2.0ms (0%)

Memory

5.6MiB live, 5.6MiB allocated

Counts

3 → 2

Calls

Call 1

Inputs

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

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

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

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

Calls

1 calls:

2.0ms

Results

Accuracy	Segments	Branch
67.9%	2	`x`

Compiler

Compiled 4 to 3 computations (25% saved)

regimes8.0ms (0.1%)

Memory

-20.2MiB live, 18.9MiB allocated

Accuracy

Total -0.2b remaining (-0.7%)

Threshold costs -0.2b (-0.7%)

Counts

2 → 1

Calls

Call 1

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

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

Calls

5 calls:

2.0ms	z
1.0ms	y
1.0ms	x
1.0ms	(*.f64 (cosh.f64 x) (/.f64 y x))
1.0ms	(/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z)

Results

Accuracy	Segments	Branch
49.0%	1	`y`
49.0%	1	`z`
49.0%	1	`(/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z)`
49.0%	1	`(*.f64 (cosh.f64 x) (/.f64 y x))`
49.0%	1	`x`

Compiler

Compiled 32 to 22 computations (31.3% saved)

bsearch1.0ms (0%)

Memory

1.0MiB live, 1.0MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	5.064898080647483e+307	6.725995624092439e+307

Compiler

Compiled 14 to 13 computations (7.1% saved)

bsearch0.0ms (0%)

Memory

0.9MiB live, 0.9MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	3.703631666231621e+287	5.064898080647483e+307

Compiler

Compiled 14 to 13 computations (7.1% saved)

bsearch0.0ms (0%)

Memory

0.8MiB live, 0.8MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	3.703631666231621e+287	5.064898080647483e+307

Compiler

Compiled 14 to 13 computations (7.1% saved)

bsearch0.0ms (0%)

Memory

0.8MiB live, 0.8MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	1.2665933121894218e-22	1.9241065953026396e-17

Compiler

Compiled 14 to 13 computations (7.1% saved)

bsearch0.0ms (0%)

Memory

0.8MiB live, 0.8MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	9.306546330026818e+295	8.954381547634783e+300

Compiler

Compiled 14 to 13 computations (7.1% saved)

bsearch27.0ms (0.2%)

Memory

2.7MiB live, 44.5MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
14.0ms	1.5777026461329337e+64	2.315895322047894e+67
11.0ms	1.4244322635990932e-258	3.1411001682705175e-255

Samples

13.0ms

256×

valid

Compiler

Compiled 478 to 317 computations (33.7% saved)

Precisions

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

ival-div: 3.0ms (39.9% of total)

ival-cosh: 3.0ms (39.9% of total)

ival-mult: 1.0ms (13.3% of total)

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

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

bsearch2.0ms (0%)

Memory

4.8MiB live, 4.8MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
1.0ms	1.5777026461329337e+64	2.315895322047894e+67
1.0ms	1.4244322635990932e-258	3.1411001682705175e-255

Compiler

Compiled 478 to 317 computations (33.7% saved)

bsearch1.0ms (0%)

Memory

3.0MiB live, 3.0MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
1.0ms	1.5777026461329337e+64	2.315895322047894e+67

Compiler

Compiled 590 to 301 computations (49% saved)

bsearch0.0ms (0%)

Memory

0.8MiB live, 0.8MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	4.829609450851919e+221	2.152827517943671e+223

Compiler

Compiled 14 to 13 computations (7.1% saved)

bsearch0.0ms (0%)

Memory

0.7MiB live, 0.7MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	2.3390678711975044e+217	4.829609450851919e+221

Compiler

Compiled 14 to 13 computations (7.1% saved)

bsearch0.0ms (0%)

Memory

0.6MiB live, 0.6MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	1.2665933121894218e-22	1.9241065953026396e-17

Compiler

Compiled 14 to 13 computations (7.1% saved)

bsearch0.0ms (0%)

Memory

0.6MiB live, 0.6MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	1.2665933121894218e-22	1.9241065953026396e-17

Compiler

Compiled 14 to 13 computations (7.1% saved)

bsearch0.0ms (0%)

Memory

0.4MiB live, 0.4MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	+inf	NaN

Compiler

Compiled 14 to 13 computations (7.1% saved)

bsearch15.0ms (0.1%)

Memory

-17.3MiB live, 20.3MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
14.0ms	0.10686546984649292	12.700274922032994

Samples

10.0ms

112×

valid

Compiler

Compiled 280 to 174 computations (37.9% saved)

Precisions

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

ival-cosh: 2.0ms (50.9% of total)

ival-div: 1.0ms (25.5% of total)

ival-mult: 1.0ms (25.5% of total)

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

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

bsearch9.0ms (0.1%)

Memory

15.7MiB live, 15.7MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	predicate-same
1×	narrow-enough

Steps

Time	Left	Right
7.0ms	7.148735849188552e+97	1.9772995807956125e+107
1.0ms	1.4244322635990932e-258	3.1411001682705175e-255

Samples

4.0ms

80×

valid

Compiler

Compiled 494 to 309 computations (37.4% saved)

Precisions

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

ival-div: 1.0ms (41.7% of total)

ival-cosh: 1.0ms (41.7% of total)

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

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

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

bsearch6.0ms (0%)

Memory

9.8MiB live, 9.8MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
5.0ms	0.10686546984649292	12.700274922032994

Samples

3.0ms

48×

valid

Compiler

Compiled 273 to 181 computations (33.7% saved)

Precisions

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

ival-div: 1.0ms (60.2% of total)

ival-cosh: 1.0ms (60.2% of total)

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

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

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

bsearch12.0ms (0.1%)

Memory

-25.3MiB live, 12.4MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
11.0ms	0.10686546984649292	12.700274922032994

Samples

8.0ms

64×

valid

Compiler

Compiled 224 to 146 computations (34.8% saved)

Precisions

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

ival-div: 1.0ms (44.8% of total)

ival-cosh: 1.0ms (44.8% of total)

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

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

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

bsearch1.0ms (0%)

Memory

1.5MiB live, 1.5MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
1.0ms	0.10686546984649292	12.700274922032994

Compiler

Compiled 203 to 125 computations (38.4% saved)

bsearch1.0ms (0%)

Memory

1.4MiB live, 1.4MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
1.0ms	0.10686546984649292	12.700274922032994

Compiler

Compiled 203 to 125 computations (38.4% saved)

bsearch4.0ms (0%)

Memory

7.3MiB live, 7.3MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
3.0ms	0.10686546984649292	12.700274922032994

Samples

2.0ms

32×

valid

Compiler

Compiled 175 to 111 computations (36.6% saved)

Precisions

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

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

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

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

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

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

bsearch1.0ms (0%)

Memory

1.4MiB live, 1.4MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
1.0ms	0.10686546984649292	12.700274922032994

Compiler

Compiled 175 to 111 computations (36.6% saved)

simplify20.0ms (0.1%)

Memory

-11.0MiB live, 27.2MiB allocated

Algorithm

1×	egg-herbie

Rules

78×	`*-commutative_binary64`
2×	`1-exp_binary64`
2×	`1-exp_binary32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	202	1104
1	244	1104

Stop Event

1×

saturated

Calls

Call 1

Inputs
(if (<=.f64 (.f64 (cosh.f64 x) (/.f64 y x)) #s(literal 59999999999999996667063198696987701731549959732709975667183888870979468237852410047874213649168681769520818816561301330682060481860893565052108228731700306140419402132096975671407147917581782390927587790973026341749425086639919119915233807230283697095959845206982334048933267984412640679067940968570114015232 binary64)) (/.f64 (/.f64 (.f64 y (cosh.f64 x)) x) z) (/.f64 #s(literal 1 binary64) (.f64 x (/.f64 z (.f64 y (cosh.f64 x))))))
(if (<=.f64 (.f64 (cosh.f64 x) (/.f64 y x)) #s(literal 500000000000000003815236769787517830257389167755855375390043332219984755318247477305565774567919593256991727777697610447843930272404792499914862630297436635543699813243303073221275494420008458697313224768197604310133506389038893861697957032303559981034741662286988928916069412641477492736 binary64)) (/.f64 (/.f64 (.f64 y (cosh.f64 x)) x) z) (*.f64 y (/.f64 (/.f64 (cosh.f64 x) x) z)))
(if (<=.f64 (.f64 (cosh.f64 x) (/.f64 y x)) #s(literal 500000000000000003815236769787517830257389167755855375390043332219984755318247477305565774567919593256991727777697610447843930272404792499914862630297436635543699813243303073221275494420008458697313224768197604310133506389038893861697957032303559981034741662286988928916069412641477492736 binary64)) (/.f64 (.f64 (cosh.f64 x) (/.f64 y x)) z) (*.f64 y (/.f64 (/.f64 (cosh.f64 x) x) z)))
(if (<=.f64 (/.f64 (.f64 (cosh.f64 x) (/.f64 y x)) z) #s(literal 4253529586511731/21267647932558653966460912964485513216 binary64)) (/.f64 (.f64 y (cosh.f64 x)) (.f64 x z)) (/.f64 (.f64 y (/.f64 (cosh.f64 x) z)) x))
(if (<=.f64 (/.f64 (.f64 (cosh.f64 x) (/.f64 y x)) z) #s(literal 99999999999999998134867772062300415778155607198205813300984837204468478832795008398842977267828545807373626970040225815727702936870449359100155289601680494988872072239402046841988962644563396584878879514845800049027585211004144644909839626131908358862432902604247279245705105301413805838450032640 binary64)) (/.f64 (.f64 #s(approx (cosh x) (fma.f64 x (.f64 x (fma.f64 (.f64 x x) (fma.f64 (.f64 x #s(literal 1/720 binary64)) x #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64))) (/.f64 y x)) z) (.f64 y (/.f64 (/.f64 (cosh.f64 x) x) z)))
(if (<=.f64 x #s(literal 7790019838314065/2163894399531684849059183759018052020301198647443953754636127064173256304872345024407213080115843841616586321892381199068702095603722999960578207655784200507016751857659924824755124296402642702553187257992033027703390323887110396882282073697349781407701150027357134841184256 binary64)) #s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 #s(literal 1 binary64) (.f64 z (/.f64 x y)))) (if (<=.f64 x #s(literal 22999999999999998555341469391335664361250212522804475751354991640576 binary64)) (/.f64 (.f64 y (cosh.f64 x)) (.f64 x z)) (/.f64 (.f64 y (/.f64 #s(approx (cosh x) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))) z)) x)))
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#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 y (*.f64 x z)))

Outputs
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(if (<=.f64 (.f64 (cosh.f64 x) (/.f64 y x)) #s(literal 500000000000000023300903587410348784202542904974688430710490229009341390661543149786383856107097856160516988297992744932658630833003449045680311048746321720293715063683658110949743602947527619163229867885780121392177479680 binary64)) (/.f64 (.f64 (/.f64 y x) #s(approx (cosh x) (fma.f64 x (.f64 x (fma.f64 (.f64 x x) (fma.f64 (.f64 x #s(literal 1/720 binary64)) x #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64)))) z) (/.f64 (.f64 y (/.f64 #s(approx (cosh x) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))) z)) x))
(if (<=.f64 (.f64 (cosh.f64 x) (/.f64 y x)) #s(literal 39999999999999998407420222993007079225800189168978169505952472502758689006625439468035058015609975187312386768292132441756863156592837165874871914069881910417353000571308890166766888589287454339878964985551700359118848 binary64)) (.f64 (/.f64 #s(approx (cosh x) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))) z) (/.f64 y x)) (/.f64 (.f64 y (/.f64 #s(approx (cosh x) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))) z)) x))
(if (<=.f64 (.f64 (cosh.f64 x) (/.f64 y x)) #s(literal 39999999999999998407420222993007079225800189168978169505952472502758689006625439468035058015609975187312386768292132441756863156592837165874871914069881910417353000571308890166766888589287454339878964985551700359118848 binary64)) (.f64 (/.f64 y x) (/.f64 #s(approx (cosh x) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))) z)) (/.f64 (.f64 y (/.f64 #s(approx (cosh x) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))) z)) x))
(if (<=.f64 (/.f64 (.f64 (cosh.f64 x) (/.f64 y x)) z) #s(literal 4253529586511731/21267647932558653966460912964485513216 binary64)) #s(approx (/ ( (cosh x) (/ y x)) z) (/.f64 (fma.f64 x (.f64 x (.f64 y (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)))) y) (.f64 x z))) (/.f64 (.f64 y (/.f64 #s(approx (cosh x) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))) z)) x))
(if (<=.f64 (/.f64 (.f64 (cosh.f64 x) (/.f64 y x)) z) #s(literal 4253529586511731/21267647932558653966460912964485513216 binary64)) (/.f64 #s(approx ( (cosh x) (/ y x)) (/.f64 (fma.f64 x (.f64 x (.f64 y (fma.f64 x (.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)))) y) x)) z) (/.f64 (.f64 y (/.f64 #s(approx (cosh x) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))) z)) x))
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 (.f64 y x) (.f64 (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) x) y) x)) z)
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 (.f64 x y) (.f64 x (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) y) x)) z)
(if (<=.f64 (.f64 (cosh.f64 x) (/.f64 y x)) #s(literal +inf.0 binary64)) (.f64 (/.f64 #s(approx (cosh x) (fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(approx (+ (* (* x x) 1/720) 1/24) #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64))) z) (/.f64 y x)) (/.f64 #s(approx (* (cosh x) (/ y x)) #s(approx (/ (+ (* x (* x (* y (+ (* x (* x 1/24)) 1/2)))) y) x) (.f64 y (.f64 x (.f64 x (.f64 x #s(literal 1/24 binary64))))))) z))
(if (<=.f64 (.f64 (cosh.f64 x) (/.f64 y x)) #s(literal +inf.0 binary64)) (.f64 (/.f64 y x) (/.f64 #s(approx (cosh x) (fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(approx (+ (* (* x x) 1/720) 1/24) #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64))) z)) (/.f64 #s(approx (* (cosh x) (/ y x)) #s(approx (/ (+ (* x (* x (* y (+ (* x (* x 1/24)) 1/2)))) y) x) (.f64 y (.f64 x (.f64 x (.f64 x #s(literal 1/24 binary64))))))) z))
(if (<=.f64 x #s(literal 4165829655317709/1125899906842624 binary64)) (/.f64 (.f64 y (/.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (.f64 x x) #s(literal 1 binary64))) z)) x) (/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 #s(approx (+ (* x (* x (* y (+ (* x (* x 1/24)) 1/2)))) y) (.f64 x (.f64 y (.f64 x (.f64 x (*.f64 x #s(literal 1/24 binary64))))))) x)) z))
(if (<=.f64 x #s(literal 7790019838314065/2163894399531684849059183759018052020301198647443953754636127064173256304872345024407213080115843841616586321892381199068702095603722999960578207655784200507016751857659924824755124296402642702553187257992033027703390323887110396882282073697349781407701150027357134841184256 binary64)) #s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 #s(literal 1 binary64) (.f64 z (/.f64 x y)))) (if (<=.f64 x #s(literal 20000000000000000038313501714693374724319102545303840223056070291987586484079775119224722902163606470656 binary64)) (/.f64 (.f64 y #s(approx (cosh x) (fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(approx (+ (* (* x x) 1/720) 1/24) #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64)))) (.f64 x z)) (/.f64 #s(approx ( (cosh x) (/ y x)) #s(approx (/ (+ (* x (* x (* y (+ (* x (* x 1/24)) 1/2)))) y) x) (.f64 y (.f64 x (.f64 x (.f64 x #s(literal 1/24 binary64))))))) z)))
(if (<=.f64 x #s(literal 2476979795053773/1125899906842624 binary64)) (/.f64 (.f64 y (/.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (.f64 x x) #s(literal 1 binary64))) z)) x) (.f64 (/.f64 #s(literal 1 binary64) z) #s(approx ( (cosh x) (/ y x)) #s(approx (/ (+ (* x (* x (* y (+ (* x (* x 1/24)) 1/2)))) y) x) (.f64 y (.f64 x (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64))))))))
(if (<=.f64 x #s(literal 3039929748475085/2251799813685248 binary64)) (/.f64 #s(approx (* y (/ (cosh x) z)) (/.f64 y z)) x) (.f64 (/.f64 #s(literal 1 binary64) z) #s(approx ( (cosh x) (/ y x)) #s(approx (/ (+ (* x (* x (* y (+ (* x (* x 1/24)) 1/2)))) y) x) (.f64 y (.f64 x (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64))))))))
(if (<=.f64 x #s(literal 2476979795053773/1125899906842624 binary64)) (/.f64 #s(approx (* y (/ (cosh x) z)) (/.f64 y z)) x) (/.f64 #s(approx (* (cosh x) (/ y x)) #s(approx (/ (+ (* x (* x (* y (+ (* x (* x 1/24)) 1/2)))) y) x) (.f64 y (.f64 x (.f64 x (.f64 x #s(literal 1/24 binary64))))))) z))
(if (<=.f64 x #s(literal 2476979795053773/1125899906842624 binary64)) (/.f64 #s(approx (* y (/ (cosh x) z)) (/.f64 y z)) x) (/.f64 #s(approx (* (cosh x) (/ y x)) #s(approx (/ (+ (* x (* x (* y (+ (* x (* x 1/24)) 1/2)))) y) x) (.f64 x (.f64 y (.f64 (.f64 x x) #s(literal 1/24 binary64)))))) z))
(if (<=.f64 x #s(literal 3152519739159347/2251799813685248 binary64)) (/.f64 #s(approx (* y (/ (cosh x) z)) (/.f64 y z)) x) (/.f64 #s(approx (* (cosh x) (/ y x)) #s(approx (+ (* y (* x 1/2)) (/ y x)) (.f64 #s(literal 1/2 binary64) (.f64 y x)))) z))
(if (<=.f64 x #s(literal 3152519739159347/2251799813685248 binary64)) (/.f64 #s(approx (* y (/ (cosh x) z)) (/.f64 y z)) x) (/.f64 #s(approx (* (cosh x) (/ y x)) #s(approx (+ (* y (* x 1/2)) (/ y x)) (.f64 #s(literal 1/2 binary64) (.f64 x y)))) z))
(if (<=.f64 x #s(literal 3152519739159347/2251799813685248 binary64)) #s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 y (.f64 x z))) (/.f64 #s(approx ( (cosh x) (/ y x)) #s(approx (+ (* y (* x 1/2)) (/ y x)) (.f64 #s(literal 1/2 binary64) (.f64 y x)))) z))
(if (<=.f64 x #s(literal 3152519739159347/2251799813685248 binary64)) #s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 y (.f64 x z))) (/.f64 #s(approx ( (cosh x) (/ y x)) #s(approx (+ (* y (* x 1/2)) (/ y x)) (.f64 #s(literal 1/2 binary64) (.f64 x y)))) z))
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 y (*.f64 x z)))

soundness2.3s (16.7%)

Memory

43.3MiB live, 1 677.0MiB allocated

Rules

19 682×	`lower-fma.f64`
19 682×	`lower-fma.f32`
17 346×	`lower-fma.f64`
17 346×	`lower-fma.f32`
15 684×	`lower-fma.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	151	5870
1	468	5862
2	1500	5744
3	3784	5652
4	7686	5652
0	8065	5469
0	39	259
0	69	259
1	262	259
2	1814	259
0	8476	259
0	7	19
0	11	19
1	36	19
2	208	19
3	2161	19
0	8571	19
0	49	316
0	77	308
1	295	308
2	2188	308
0	8233	302
0	44	326
0	76	320
1	290	314
2	1840	314
0	8339	314
0	164	6146
1	520	6140
2	1619	6042
3	3411	5984
4	6834	5982
0	8324	5773
0	70	1004
1	201	1000
2	599	988
3	1416	982
4	2110	982
5	2777	980
6	3318	980
7	4807	976
8	5464	976
9	5934	976
10	6466	976
11	7754	976
0	8037	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×	iter limit
1×	node limit
1×	iter limit
1×	iter limit
1×	node limit
1×	iter limit
1×	iter limit
1×	node limit

Compiler

Compiled 2 174 to 947 computations (56.4% saved)

preprocess341.0ms (2.5%)

Memory: -20.6MiB live, 622.4MiB allocated
Remove: (negabs z)
Compiler: Compiled 2 272 to 682 computations (70% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated