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

analyze68.0ms (0.5%)

Memory

24.8MiB live, 104.4MiB 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)

sample738.0ms (5.2%)

Memory

11.5MiB live, 1 157.0MiB allocated

Samples

493.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 277.0ms

ival-div: 120.0ms (43.3% of total)

ival-cosh: 93.0ms (33.5% of total)

ival-mult: 55.0ms (19.8% of total)

ival-true: 6.0ms (2.2% of total)

ival-assert: 3.0ms (1.1% of total)

Bogosity

preprocess154.0ms (1.1%)

Memory

12.6MiB live, 132.0MiB 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)

explain80.0ms (0.6%)

Memory

-49.4MiB live, 133.8MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
33	-	-	`(*.f64 (cosh.f64 x) (/.f64 y x))`
12	-	-	`(/.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**	33	0
↳	`(cosh.f64 x)`	overflow	120
↳	`(/.f64 y x)`	underflow	33
`/.f64`	`(/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z)`	o/n	12	0
↳	`(cosh.f64 x)`	overflow	120
↳	`(/.f64 y x)`	overflow	43
↳	`(*.f64 (cosh.f64 x) (/.f64 y x))`	overflow	163

Confusion

	Predicted +	Predicted -
+	45	0
-	0	211

Precision

1.0

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	45	0	0
-	0	0	211

Precision?

1.0

Recall?

1.0

Freqs

test

number	freq
0	211
1	45

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

30.0ms

512×

valid

Compiler

Compiled 70 to 32 computations (54.3% saved)

Precisions

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

ival-div: 7.0ms (43.7% of total)

ival-cosh: 5.0ms (31.2% of total)

ival-mult: 3.0ms (18.7% 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

1.3MiB live, 1.3MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	82.6%	(/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z)

Compiler

Compiled 11 to 7 computations (36.4% saved)

simplify101.0ms (0.7%)

Memory

14.1MiB live, 91.0MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

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

localize39.0ms (0.3%)

Memory

0.8MiB live, 39.0MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(/.f64 y x)
✓	accuracy	100.0%	(cosh.f64 x)
✓	accuracy	95.5%	(/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z)
✓	accuracy	89.7%	(*.f64 (cosh.f64 x) (/.f64 y x))

Samples

32.0ms

256×

valid

Compiler

Compiled 24 to 9 computations (62.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 24.0ms

ival-div: 20.0ms (82.2% of total)

ival-cosh: 3.0ms (12.3% of total)

ival-mult: 1.0ms (4.1% of total)

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

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

series32.0ms (0.2%)

Memory

-1.7MiB live, 37.3MiB 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
16.0ms	z	@	inf	(/ (* (cosh x) (/ y x)) z)
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)

simplify511.0ms (3.6%)

Memory

11.8MiB live, 443.3MiB 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)

rewrite251.0ms (1.8%)

Memory

-21.5MiB live, 223.8MiB 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))

eval100.0ms (0.7%)

Memory: 12.4MiB live, 88.8MiB allocated
Compiler: Compiled 6 720 to 1 065 computations (84.2% saved)

prune124.0ms (0.9%)

Memory

8.6MiB live, 169.1MiB 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
▶	95.5%	(/.f64 (*.f64 (/.f64 (cosh.f64 x) x) y) z)
	74.7%	(/.f64 (.f64 (cosh.f64 x) #s(literal 2 binary64)) (.f64 (/.f64 (*.f64 x #s(literal 2 binary64)) y) z))
	74.0%	(/.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)
▶	77.9%	(/.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)
	66.0%	(/.f64 (.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (.f64 x x) #s(literal 1 binary64))) (/.f64 y x)) z)
▶	65.7%	(/.f64 #s(approx (* (cosh x) (/ y x)) (fma.f64 y (*.f64 x #s(literal 1/2 binary64)) (/.f64 y x))) z)
▶	86.5%	(/.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)
	50.6%	(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 y x)) z)
	82.6%	(*.f64 (/.f64 (cosh.f64 x) z) (/.f64 y x))
	89.2%	(*.f64 (/.f64 y z) (/.f64 (cosh.f64 x) x))
	81.0%	(.f64 y (/.f64 (cosh.f64 x) (.f64 x z)))
	67.4%	#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (fma.f64 y (.f64 #s(literal 1/2 binary64) (.f64 x x)) y) (*.f64 x z)))
	76.7%	#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)))
	74.6%	#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)))
▶	50.1%	#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 y (*.f64 x z)))

Compiler

Compiled 476 to 282 computations (40.8% saved)

simplify571.0ms (4%)

Memory

16.5MiB live, 453.9MiB 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) x)
✓	cost-diff	0	(*.f64 (/.f64 (cosh.f64 x) x) y)
✓	cost-diff	384	(/.f64 (*.f64 (/.f64 (cosh.f64 x) x) y) z)

Rules

19 450×	`lower-fma.f32`
19 438×	`lower-fma.f64`
3 586×	`lower-*.f32`
3 568×	`lower-*.f64`
1 930×	`distribute-lft-in`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	39	330
0	69	330
1	136	330
2	313	330
3	679	330
4	978	330
5	1120	330
6	1328	330
7	2373	330
8	3994	327
9	4663	327
10	4768	327
11	4886	327
12	4916	327
13	5061	327
14	5967	327
15	6079	327
16	6089	327
17	6098	327
18	6099	327
19	6099	327
20	6100	327
21	6101	327
22	6101	327
23	6731	327
0	8121	324

Stop Event

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

Calls

Call 1

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

localize150.0ms (1.1%)

Memory

7.0MiB live, 247.1MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.8%	(fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))
✓	accuracy	95.5%	(/.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	93.2%	#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	89.7%	(.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	95.5%	(/.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	95.3%	(/.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	94.1%	(.f64 y (fma.f64 x (.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)))
✓	accuracy	85.3%	#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 x #s(literal 1/2 binary64))
✓	accuracy	100.0%	(fma.f64 y (*.f64 x #s(literal 1/2 binary64)) (/.f64 y x))
✓	accuracy	95.5%	(/.f64 #s(approx (* (cosh x) (/ y x)) (fma.f64 y (*.f64 x #s(literal 1/2 binary64)) (/.f64 y x))) z)
✓	accuracy	63.0%	#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	92.2%	(/.f64 y (*.f64 x z))
✓	accuracy	55.2%	#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) x)
✓	accuracy	99.9%	(*.f64 (/.f64 (cosh.f64 x) x) y)
✓	accuracy	95.5%	(/.f64 (*.f64 (/.f64 (cosh.f64 x) x) y) z)

Samples

89.0ms

256×

valid

Compiler

Compiled 241 to 37 computations (84.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 69.0ms

ival-mult: 32.0ms (46.4% of total)

ival-add: 17.0ms (24.6% of total)

ival-div: 9.0ms (13% of total)

const: 7.0ms (10.1% of total)

ival-cosh: 3.0ms (4.3% of total)

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

exact: 0.0ms (0% of total)

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

series78.0ms (0.6%)

Memory

-3.1MiB live, 71.8MiB allocated

Counts

21 → 504

Calls

Call 1

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

126 calls:

Time	Variable		Point	Expression
4.0ms	z	@	-inf	(/ y (* x z))
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)
1.0ms	x	@	inf	(/ (+ (* 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)

simplify572.0ms (4%)

Memory

-3.2MiB live, 960.8MiB allocated

Algorithm

1×	egg-herbie

Rules

25 756×	`lower-fma.f64`
25 756×	`lower-fma.f32`
6 086×	`lower-*.f64`
6 086×	`lower-*.f32`
2 448×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	149	5824
1	465	5816
2	1447	5716
3	4261	5696
0	8644	5493

Stop Event

1×	iter limit
1×	node limit

Counts

504 → 503

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

rewrite385.0ms (2.7%)

Memory

4.2MiB live, 517.0MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

4 636×	`lower-fma.f32`
4 624×	`lower-fma.f64`
4 408×	`lower-/.f32`
4 392×	`lower-/.f64`
4 064×	`lower-*.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	39	256
0	69	256
1	261	256
2	1786	256
0	8380	256

Stop Event

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

Counts

21 → 665

Calls

Call 1

Inputs
(/.f64 (*.f64 (/.f64 (cosh.f64 x) x) y) z)
(*.f64 (/.f64 (cosh.f64 x) x) y)
(/.f64 (cosh.f64 x) x)
(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 (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 (cosh.f64 x) y)))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 (/.f64 (*.f64 (cosh.f64 x) y) x) (neg.f64 z)))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 z)) (/.f64 (/.f64 (*.f64 (cosh.f64 x) y) x) (neg.f64 z)))
(neg.f64 (/.f64 (/.f64 (*.f64 (cosh.f64 x) y) x) (neg.f64 z)))
(/.f64 (cosh.f64 x) (/.f64 (*.f64 x z) y))
(/.f64 (/.f64 (cosh.f64 x) x) (/.f64 z y))
(/.f64 y (*.f64 (/.f64 x (cosh.f64 x)) z))
(/.f64 (/.f64 (*.f64 (cosh.f64 x) y) x) z)
(/.f64 (/.f64 y (*.f64 x z)) (/.f64 #s(literal 1 binary64) (cosh.f64 x)))
(/.f64 #s(literal 1 binary64) (.f64 z (/.f64 x (.f64 (cosh.f64 x) y))))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (.f64 z (/.f64 x (.f64 (cosh.f64 x) y))))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 x z) (.f64 (cosh.f64 x) y)))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal 2 binary64) (.f64 x z)) (.f64 (.f64 #s(literal 2 binary64) (cosh.f64 x)) y)))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal 2 binary64) z) (.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) (/.f64 y x))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal 2 binary64) (/.f64 (.f64 x z) y)) (*.f64 #s(literal 2 binary64) (cosh.f64 x))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal 2 binary64) (.f64 x (neg.f64 z))) (.f64 (.f64 #s(literal 2 binary64) (cosh.f64 x)) (neg.f64 y))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 x (cosh.f64 x)) z) y))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 x (neg.f64 z)) (.f64 (neg.f64 (cosh.f64 x)) y)))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 x (neg.f64 z)) (.f64 (cosh.f64 x) (neg.f64 y))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (.f64 (.f64 #s(literal 2 binary64) (cosh.f64 x)) (/.f64 y (*.f64 x z)))))
(/.f64 #s(literal 1 binary64) (/.f64 x (*.f64 (cosh.f64 x) (/.f64 y z))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 x (cosh.f64 x)) (/.f64 y z)))
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 x) (*.f64 (neg.f64 (cosh.f64 x)) (/.f64 y z))))
(/.f64 #s(literal 1 binary64) (/.f64 x (/.f64 (*.f64 (cosh.f64 x) y) z)))
(/.f64 (.f64 #s(literal 2 binary64) (cosh.f64 x)) (.f64 #s(literal 2 binary64) (/.f64 (*.f64 x z) y)))
(/.f64 (neg.f64 y) (neg.f64 (*.f64 (/.f64 x (cosh.f64 x)) z)))
(/.f64 (/.f64 (*.f64 (cosh.f64 x) y) (neg.f64 x)) (neg.f64 z))
(/.f64 (neg.f64 (cosh.f64 x)) (neg.f64 (/.f64 (*.f64 x z) y)))
(/.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 z) (/.f64 x (cosh.f64 x)))
(/.f64 #s(literal -1 binary64) (neg.f64 (.f64 z (/.f64 x (.f64 (cosh.f64 x) y)))))
(/.f64 (.f64 (.f64 #s(literal 2 binary64) (cosh.f64 x)) y) (.f64 #s(literal 2 binary64) (.f64 x z)))
(/.f64 (.f64 (.f64 #s(literal 2 binary64) (cosh.f64 x)) (/.f64 y x)) (*.f64 #s(literal 2 binary64) z))
(/.f64 (.f64 (.f64 #s(literal 2 binary64) (cosh.f64 x)) (neg.f64 y)) (.f64 #s(literal 2 binary64) (.f64 x (neg.f64 z))))
(/.f64 (.f64 (neg.f64 (cosh.f64 x)) y) (.f64 x (neg.f64 z)))
(/.f64 (neg.f64 (.f64 #s(literal 2 binary64) (cosh.f64 x))) (neg.f64 (.f64 #s(literal 2 binary64) (/.f64 (*.f64 x z) y))))
(/.f64 (neg.f64 (.f64 (cosh.f64 x) y)) (.f64 x (neg.f64 z)))
(/.f64 (.f64 (cosh.f64 x) (neg.f64 y)) (.f64 x (neg.f64 z)))
(/.f64 (.f64 (.f64 #s(literal 2 binary64) (cosh.f64 x)) (/.f64 y (*.f64 x z))) #s(literal 2 binary64))
(/.f64 (*.f64 (cosh.f64 x) (/.f64 y z)) x)
(/.f64 (*.f64 (neg.f64 (cosh.f64 x)) (/.f64 y z)) (neg.f64 x))
(/.f64 (/.f64 (*.f64 (cosh.f64 x) y) z) x)
(/.f64 (neg.f64 (.f64 (.f64 #s(literal 2 binary64) (cosh.f64 x)) y)) (neg.f64 (.f64 #s(literal 2 binary64) (.f64 x z))))
(/.f64 (neg.f64 (.f64 (.f64 #s(literal 2 binary64) (cosh.f64 x)) (/.f64 y x))) (neg.f64 (*.f64 #s(literal 2 binary64) z)))
(/.f64 (neg.f64 (.f64 (.f64 #s(literal 2 binary64) (cosh.f64 x)) (neg.f64 y))) (neg.f64 (.f64 #s(literal 2 binary64) (.f64 x (neg.f64 z)))))
(/.f64 (neg.f64 (.f64 (neg.f64 (cosh.f64 x)) y)) (.f64 x z))
(/.f64 (neg.f64 (.f64 (cosh.f64 x) (neg.f64 y))) (.f64 x z))
(/.f64 (neg.f64 (.f64 (.f64 #s(literal 2 binary64) (cosh.f64 x)) (/.f64 y (*.f64 x z)))) #s(literal -2 binary64))
(/.f64 (neg.f64 (*.f64 (cosh.f64 x) (/.f64 y z))) (neg.f64 x))
(/.f64 (neg.f64 (*.f64 (neg.f64 (cosh.f64 x)) (/.f64 y z))) x)
(/.f64 (neg.f64 (/.f64 (*.f64 (cosh.f64 x) y) z)) (neg.f64 x))
(/.f64 (neg.f64 (/.f64 y z)) (neg.f64 (/.f64 x (cosh.f64 x))))
(pow.f64 (.f64 z (/.f64 x (.f64 (cosh.f64 x) y))) #s(literal -1 binary64))
(.f64 (cosh.f64 x) (/.f64 y (.f64 x z)))
(*.f64 (/.f64 (cosh.f64 x) x) (/.f64 y z))
(*.f64 y (/.f64 (/.f64 (cosh.f64 x) x) z))
(.f64 y (/.f64 #s(literal 1 binary64) (.f64 (/.f64 x (cosh.f64 x)) z)))
(.f64 (/.f64 (.f64 (cosh.f64 x) y) x) (/.f64 #s(literal 1 binary64) z))
(.f64 (/.f64 y (.f64 x z)) (cosh.f64 x))
(*.f64 (/.f64 y x) (/.f64 (cosh.f64 x) z))
(.f64 #s(literal 1 binary64) (/.f64 (.f64 (cosh.f64 x) y) (*.f64 x z)))
(.f64 (.f64 #s(literal 2 binary64) (cosh.f64 x)) (/.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) (/.f64 (.f64 x z) y))))
(.f64 (/.f64 (.f64 (cosh.f64 x) y) (neg.f64 x)) (/.f64 #s(literal -1 binary64) z))
(*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (/.f64 y z) (/.f64 #s(literal 1 binary64) (cosh.f64 x))))
(.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 (.f64 (cosh.f64 x) y) x))
(.f64 (.f64 (cosh.f64 x) y) (/.f64 #s(literal 1 binary64) (*.f64 x z)))
(*.f64 (/.f64 y z) (/.f64 (cosh.f64 x) x))
(.f64 #s(literal -1 binary64) (/.f64 (/.f64 (.f64 (cosh.f64 x) y) x) (neg.f64 z)))
(.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (.f64 z (/.f64 x (*.f64 (cosh.f64 x) y))))))
(.f64 (.f64 (.f64 #s(literal 2 binary64) (cosh.f64 x)) y) (/.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) (*.f64 x z))))
(.f64 (.f64 (.f64 #s(literal 2 binary64) (cosh.f64 x)) (/.f64 y x)) (/.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) z)))
(.f64 (.f64 (.f64 #s(literal 2 binary64) (cosh.f64 x)) (neg.f64 y)) (/.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) (*.f64 x (neg.f64 z)))))
(.f64 (.f64 (neg.f64 (cosh.f64 x)) y) (/.f64 #s(literal -1 binary64) (*.f64 x z)))
(*.f64 (neg.f64 (/.f64 (cosh.f64 x) x)) (/.f64 y (neg.f64 z)))
(*.f64 (neg.f64 (/.f64 (cosh.f64 x) x)) (/.f64 (neg.f64 y) z))
(.f64 (.f64 (cosh.f64 x) (neg.f64 y)) (/.f64 #s(literal -1 binary64) (*.f64 x z)))
(.f64 (.f64 (.f64 #s(literal 2 binary64) (cosh.f64 x)) (/.f64 y (.f64 x z))) #s(literal 1/2 binary64))
(.f64 (.f64 (cosh.f64 x) (/.f64 y z)) (/.f64 #s(literal 1 binary64) x))
(.f64 (.f64 (neg.f64 (cosh.f64 x)) (/.f64 y z)) (/.f64 #s(literal -1 binary64) x))
(.f64 (/.f64 (.f64 (cosh.f64 x) y) z) (/.f64 #s(literal 1 binary64) x))
(.f64 (/.f64 (.f64 #s(literal 2 binary64) (cosh.f64 x)) x) (/.f64 #s(literal 1/2 binary64) (/.f64 z y)))
(*.f64 (/.f64 (cosh.f64 x) z) (/.f64 y x))
(.f64 (pow.f64 (/.f64 z (.f64 (cosh.f64 x) y)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) x))
(*.f64 (/.f64 (/.f64 y x) #s(literal -1 binary64)) (/.f64 (neg.f64 (cosh.f64 x)) z))
(*.f64 (/.f64 (/.f64 y (neg.f64 x)) #s(literal -1 binary64)) (/.f64 (cosh.f64 x) z))
(.f64 (/.f64 (cosh.f64 x) #s(literal -1 binary64)) (/.f64 y (.f64 x (neg.f64 z))))
(*.f64 (/.f64 (cosh.f64 x) #s(literal -1 binary64)) (/.f64 (/.f64 y (neg.f64 x)) z))
(*.f64 (/.f64 y #s(literal -1 binary64)) (/.f64 (neg.f64 (/.f64 (cosh.f64 x) x)) z))
(.f64 (/.f64 #s(literal 1 binary64) (/.f64 x (.f64 #s(literal 2 binary64) (cosh.f64 x)))) (/.f64 (/.f64 y z) #s(literal 2 binary64)))
(.f64 (/.f64 (neg.f64 (cosh.f64 x)) #s(literal -1 binary64)) (/.f64 y (.f64 x z)))
(*.f64 (/.f64 (neg.f64 y) #s(literal -1 binary64)) (/.f64 (/.f64 (cosh.f64 x) x) z))
(*.f64 (/.f64 (/.f64 (cosh.f64 x) x) #s(literal -1 binary64)) (/.f64 (neg.f64 y) z))
(.f64 (/.f64 (.f64 #s(literal 2 binary64) (cosh.f64 x)) z) (*.f64 #s(literal 1/2 binary64) (/.f64 y x)))
(.f64 (/.f64 (.f64 #s(literal 2 binary64) (cosh.f64 x)) (*.f64 x z)) (/.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y)))
(*.f64 (/.f64 (neg.f64 (cosh.f64 x)) z) (/.f64 y (neg.f64 x)))
(*.f64 (/.f64 (neg.f64 (/.f64 (cosh.f64 x) x)) #s(literal -1 binary64)) (/.f64 y z))
(.f64 (/.f64 (cosh.f64 x) (.f64 x z)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)))
(*.f64 (/.f64 (cosh.f64 x) (neg.f64 z)) (/.f64 y (neg.f64 x)))
(-.f64 #s(literal 0 binary64) (/.f64 (*.f64 (cosh.f64 x) y) (neg.f64 x)))
(neg.f64 (/.f64 (*.f64 (cosh.f64 x) y) (neg.f64 x)))
(/.f64 (cosh.f64 x) (/.f64 x y))
(/.f64 y (/.f64 x (cosh.f64 x)))
(/.f64 (/.f64 y x) (/.f64 #s(literal 1 binary64) (cosh.f64 x)))
(/.f64 #s(literal 1 binary64) (/.f64 x (*.f64 (cosh.f64 x) y)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 x y) (cosh.f64 x)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 x (cosh.f64 x)) y))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 x (*.f64 (cosh.f64 x) y)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal 2 binary64) x) (.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) y)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (.f64 (.f64 #s(literal 2 binary64) (cosh.f64 x)) (/.f64 y x))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal 2 binary64) (/.f64 x y)) (.f64 #s(literal 2 binary64) (cosh.f64 x))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal 2 binary64) (neg.f64 x)) (.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) (neg.f64 y))))
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 x) (*.f64 (neg.f64 (cosh.f64 x)) y)))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 x #s(literal 2 binary64)) (.f64 y (*.f64 #s(literal 2 binary64) (cosh.f64 x)))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (/.f64 x y) #s(literal 2 binary64)) (.f64 #s(literal 2 binary64) (cosh.f64 x))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (neg.f64 x) #s(literal 2 binary64)) (.f64 (neg.f64 y) (*.f64 #s(literal 2 binary64) (cosh.f64 x)))))
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 x) (*.f64 (cosh.f64 x) (neg.f64 y))))
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 x) (*.f64 y (neg.f64 (cosh.f64 x)))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (.f64 (/.f64 y x) (.f64 #s(literal 2 binary64) (cosh.f64 x)))))
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 x) (*.f64 (neg.f64 y) (cosh.f64 x))))
(/.f64 (.f64 #s(literal 2 binary64) (cosh.f64 x)) (.f64 #s(literal 2 binary64) (/.f64 x y)))
(/.f64 (.f64 #s(literal 2 binary64) (cosh.f64 x)) (.f64 (/.f64 x y) #s(literal 2 binary64)))
(/.f64 (neg.f64 y) (neg.f64 (/.f64 x (cosh.f64 x))))
(/.f64 (neg.f64 (cosh.f64 x)) (neg.f64 (/.f64 x y)))
(/.f64 (*.f64 (cosh.f64 x) y) x)
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 x (*.f64 (cosh.f64 x) y))))
(/.f64 (.f64 (.f64 #s(literal 2 binary64) (cosh.f64 x)) y) (*.f64 #s(literal 2 binary64) x))
(/.f64 (.f64 (.f64 #s(literal 2 binary64) (cosh.f64 x)) (/.f64 y x)) #s(literal 2 binary64))
(/.f64 (.f64 (.f64 #s(literal 2 binary64) (cosh.f64 x)) (neg.f64 y)) (*.f64 #s(literal 2 binary64) (neg.f64 x)))
(/.f64 (*.f64 (neg.f64 (cosh.f64 x)) y) (neg.f64 x))
(/.f64 (.f64 y (.f64 #s(literal 2 binary64) (cosh.f64 x))) (*.f64 x #s(literal 2 binary64)))
(/.f64 (.f64 (neg.f64 y) (.f64 #s(literal 2 binary64) (cosh.f64 x))) (*.f64 (neg.f64 x) #s(literal 2 binary64)))
(/.f64 (neg.f64 (.f64 #s(literal 2 binary64) (cosh.f64 x))) (neg.f64 (.f64 #s(literal 2 binary64) (/.f64 x y))))
(/.f64 (neg.f64 (.f64 #s(literal 2 binary64) (cosh.f64 x))) (neg.f64 (.f64 (/.f64 x y) #s(literal 2 binary64))))
(/.f64 (neg.f64 (*.f64 (cosh.f64 x) y)) (neg.f64 x))
(/.f64 (*.f64 (cosh.f64 x) (neg.f64 y)) (neg.f64 x))
(/.f64 (*.f64 y (neg.f64 (cosh.f64 x))) (neg.f64 x))
(/.f64 (.f64 (/.f64 y x) (.f64 #s(literal 2 binary64) (cosh.f64 x))) #s(literal 2 binary64))
(/.f64 (*.f64 (neg.f64 y) (cosh.f64 x)) (neg.f64 x))
(/.f64 (neg.f64 (neg.f64 (*.f64 (cosh.f64 x) y))) x)
(/.f64 (neg.f64 (.f64 (.f64 #s(literal 2 binary64) (cosh.f64 x)) y)) (neg.f64 (*.f64 #s(literal 2 binary64) x)))
(/.f64 (neg.f64 (.f64 (.f64 #s(literal 2 binary64) (cosh.f64 x)) (/.f64 y x))) #s(literal -2 binary64))
(/.f64 (neg.f64 (.f64 (.f64 #s(literal 2 binary64) (cosh.f64 x)) (neg.f64 y))) (neg.f64 (*.f64 #s(literal 2 binary64) (neg.f64 x))))
(/.f64 (neg.f64 (*.f64 (neg.f64 (cosh.f64 x)) y)) x)
(/.f64 (neg.f64 (.f64 y (.f64 #s(literal 2 binary64) (cosh.f64 x)))) (neg.f64 (*.f64 x #s(literal 2 binary64))))
(/.f64 (neg.f64 (.f64 (neg.f64 y) (.f64 #s(literal 2 binary64) (cosh.f64 x)))) (neg.f64 (*.f64 (neg.f64 x) #s(literal 2 binary64))))
(/.f64 (neg.f64 (*.f64 (cosh.f64 x) (neg.f64 y))) x)
(/.f64 (neg.f64 (*.f64 y (neg.f64 (cosh.f64 x)))) x)
(/.f64 (neg.f64 (.f64 (/.f64 y x) (.f64 #s(literal 2 binary64) (cosh.f64 x)))) #s(literal -2 binary64))
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(pow.f64 (/.f64 x (*.f64 (cosh.f64 x) y)) #s(literal -1 binary64))
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(+.f64 (/.f64 (.f64 #s(literal 1/518400 binary64) (.f64 (.f64 x x) (.f64 x x))) (fma.f64 x (.f64 x #s(literal 1/720 binary64)) #s(literal -1/24 binary64))) (neg.f64 (/.f64 #s(literal 1/576 binary64) (fma.f64 x (.f64 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 x (.f64 x #s(literal 1/720 binary64)) #s(literal -1/24 binary64))) (/.f64 #s(literal 1/576 binary64) (fma.f64 x (.f64 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 x (.f64 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 x (.f64 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 x (.f64 x #s(literal 1/720 binary64)) #s(literal -1/24 binary64))) (neg.f64 (/.f64 #s(literal 1/576 binary64) (fma.f64 x (.f64 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 x (.f64 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 x (.f64 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 x (.f64 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 x (.f64 x #s(literal 1/720 binary64)))))
(/.f64 (-.f64 (.f64 (.f64 #s(literal 1/518400 binary64) (.f64 (.f64 x x) (.f64 x x))) (fma.f64 x (.f64 x #s(literal 1/720 binary64)) #s(literal -1/24 binary64))) (.f64 (fma.f64 x (.f64 x #s(literal 1/720 binary64)) #s(literal -1/24 binary64)) #s(literal 1/576 binary64))) (.f64 (fma.f64 x (.f64 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))))
(/.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 x (.f64 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 x (.f64 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 x (.f64 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 x (.f64 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 x (.f64 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 x (.f64 x #s(literal 1/720 binary64)) #s(literal -1/24 binary64))) (fma.f64 (/.f64 #s(literal 1/576 binary64) (fma.f64 x (.f64 x #s(literal 1/720 binary64)) #s(literal -1/24 binary64))) (/.f64 #s(literal 1/576 binary64) (fma.f64 x (.f64 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 x (.f64 x #s(literal 1/720 binary64)) #s(literal -1/24 binary64))) (/.f64 #s(literal 1/576 binary64) (fma.f64 x (*.f64 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 x (*.f64 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 x (*.f64 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 x (*.f64 x #s(literal 1/720 binary64))))))

eval139.0ms (1%)

Memory: 25.8MiB live, 371.9MiB allocated
Compiler: Compiled 25 543 to 2 262 computations (91.1% saved)

prune253.0ms (1.8%)

Memory

-20.5MiB live, 540.5MiB allocated

Pruning

30 alts after pruning (28 fresh and 2 done)

	Pruned	Kept	Total
New	1 144	24	1 168
Fresh	6	4	10
Picked	3	2	5
Done	0	0	0
Total	1 153	30	1 183

Accuracy

100.0%

Counts

1 183 → 30

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	95.5%	(/.f64 (*.f64 (/.f64 (cosh.f64 x) x) y) z)
	86.9%	(/.f64 (.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))) x) y) z)
▶	50.6%	(/.f64 (*.f64 (/.f64 #s(approx (cosh x) #s(literal 1 binary64)) x) y) z)
	81.6%	(/.f64 (.f64 (cosh.f64 x) y) (.f64 x z))
	56.4%	(/.f64 (.f64 #s(approx (cosh x) (fma.f64 (.f64 (.f64 x x) (fma.f64 (.f64 x x) (.f64 (.f64 x (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) (.f64 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 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 y x)) z)
	74.0%	(/.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)
	77.7%	(/.f64 (.f64 #s(approx (cosh x) (fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(approx (+ ( (* x x) 1/720) 1/24) (.f64 (.f64 x x) #s(literal 1/720 binary64))) #s(literal 1/2 binary64))) #s(literal 1 binary64))) (/.f64 y x)) z)
	74.0%	(/.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)
	77.4%	(/.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)))) (*.f64 x z))
▶	89.3%	(/.f64 #s(approx (* (/ (cosh x) x) y) (/.f64 (fma.f64 (.f64 x x) (.f64 y (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))) y) x)) z)
	50.6%	(/.f64 #s(approx (* (/ (cosh x) x) y) (/.f64 y x)) z)
	86.2%	(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 x (.f64 x #s(approx ( y (+ (* x (* x 1/24)) 1/2)) (.f64 x (.f64 y (*.f64 x #s(literal 1/24 binary64)))))) y) x)) z)
	34.6%	(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (.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 (.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)
	65.7%	(/.f64 #s(approx (* (cosh x) (/ y x)) (*.f64 y (fma.f64 x #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))) z)
	84.3%	(/.f64 #s(approx (* (cosh x) (/ y x)) #s(approx (/ (+ (* x (* x (* y (+ (* x (* x 1/24)) 1/2)))) y) x) (fma.f64 (fma.f64 x (.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) (.f64 y x) (/.f64 y x)))) z)
	40.9%	(/.f64 #s(approx (* (cosh x) (/ y x)) #s(approx (/ (+ (* x (* x (* y (+ (* x (* x 1/24)) 1/2)))) y) x) (.f64 (fma.f64 x (.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) (*.f64 y x)))) z)
	41.0%	(/.f64 #s(approx (* (cosh x) (/ y x)) #s(approx (/ (+ (* x (* x (* y (+ (* x (* x 1/24)) 1/2)))) y) x) (.f64 #s(literal 1/24 binary64) (.f64 y (.f64 x (.f64 x x)))))) z)
	22.5%	(/.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)
	77.5%	(.f64 (/.f64 #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))) z) (/.f64 y x))
	77.9%	(.f64 (/.f64 #s(literal 1 binary64) z) (.f64 (/.f64 y x) #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)))))
	86.5%	(.f64 (/.f64 #s(literal 1 binary64) 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)))
	67.4%	#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (fma.f64 y (.f64 #s(literal 1/2 binary64) (.f64 x x)) y) (*.f64 x z)))
▶	76.7%	#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)))
▶	74.6%	#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)))
	52.4%	#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (/.f64 y z) x))
✓	50.1%	#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 y (*.f64 x z)))
	52.4%	#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 #s(literal 1 binary64) (/.f64 x (/.f64 y z))))
	52.5%	#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (/.f64 y z) (/.f64 #s(literal 1 binary64) x)))
	50.6%	#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (/.f64 y x) (/.f64 #s(literal 1 binary64) z)))
▶	49.5%	#s(approx (/ (* (cosh x) (/ y x)) z) (.f64 (/.f64 #s(literal 1 binary64) (.f64 x z)) y))

Compiler

Compiled 1 156 to 628 computations (45.7% saved)

simplify470.0ms (3.3%)

Memory

19.6MiB live, 812.2MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

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

Rules

22 956×	`lower-fma.f32`
22 940×	`lower-fma.f64`
5 046×	`lower-+.f64`
5 046×	`lower-+.f32`
4 826×	`lower-*.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	45	430
0	80	430
1	180	426
2	411	426
3	1130	426
4	2272	426
5	4189	426
6	4720	426
7	5043	426
8	5437	426
9	5639	426
10	5841	426
0	8724	426

Stop Event

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

Calls

Call 1

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

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

localize238.0ms (1.7%)

Memory

-32.0MiB live, 337.8MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.8%	(fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))
✓	accuracy	98.4%	(.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)))
✓	accuracy	89.4%	#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)))
✓	accuracy	80.9%	(/.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))
✓	accuracy	99.5%	(*.f64 x #s(literal 1/24 binary64))
✓	accuracy	94.1%	(.f64 y (fma.f64 x (.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)))
✓	accuracy	84.8%	#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)))
✓	accuracy	80.9%	(/.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))
✓	accuracy	100.0%	(/.f64 #s(approx (cosh x) #s(literal 1 binary64)) x)
✓	accuracy	99.9%	(*.f64 (/.f64 #s(approx (cosh x) #s(literal 1 binary64)) x) y)
✓	accuracy	95.5%	(/.f64 (*.f64 (/.f64 #s(approx (cosh x) #s(literal 1 binary64)) x) y) z)
✓	accuracy	53.9%	#s(approx (cosh x) #s(literal 1 binary64))
✓	accuracy	100.0%	(*.f64 x z)
✓	accuracy	99.2%	(/.f64 #s(literal 1 binary64) (*.f64 x z))
✓	accuracy	91.7%	(.f64 (/.f64 #s(literal 1 binary64) (.f64 x z)) y)
✓	accuracy	55.2%	#s(approx (/ (* (cosh x) (/ y x)) z) (.f64 (/.f64 #s(literal 1 binary64) (.f64 x z)) y))
✓	accuracy	98.4%	(.f64 y (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)))
✓	accuracy	98.2%	(/.f64 (fma.f64 (.f64 x x) (.f64 y (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))) y) x)
✓	accuracy	95.5%	(/.f64 #s(approx (* (/ (cosh x) x) y) (/.f64 (fma.f64 (.f64 x x) (.f64 y (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))) y) x)) z)
✓	accuracy	91.3%	#s(approx (* (/ (cosh x) x) y) (/.f64 (fma.f64 (.f64 x x) (.f64 y (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))) y) x))

Samples

104.0ms

256×

valid

Compiler

Compiled 365 to 47 computations (87.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 81.0ms

ival-div: 31.0ms (38.2% of total)

ival-mult: 31.0ms (38.2% of total)

ival-add: 9.0ms (11.1% of total)

const: 6.0ms (7.4% of total)

ival-cosh: 3.0ms (3.7% of total)

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

exact: 0.0ms (0% of total)

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

series64.0ms (0.4%)

Memory

12.2MiB live, 131.9MiB allocated

Counts

25 → 648

Calls

Call 1

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

162 calls:

Time	Variable		Point	Expression
12.0ms	z	@	0	(/ (+ (* x (* x (* y (+ (* x (* x 1/24)) 1/2)))) y) (* x z))
1.0ms	y	@	0	(/ (+ (* (* x x) (* y (+ (* x (* x (+ (* x (* x 1/720)) 1/24))) 1/2))) y) x)
1.0ms	z	@	0	(/ (+ (* x (* x (* y (+ (* (* x x) (+ (* (* x x) 1/720) 1/24)) 1/2)))) y) (* x z))
1.0ms	y	@	inf	(/ (+ (* (* x x) (* y (+ (* x (* x (+ (* x (* x 1/720)) 1/24))) 1/2))) y) x)
1.0ms	y	@	-inf	(/ (+ (* (* x x) (* y (+ (* x (* x (+ (* x (* x 1/720)) 1/24))) 1/2))) y) x)

simplify475.0ms (3.3%)

Memory

-6.1MiB live, 789.4MiB allocated

Algorithm

1×	egg-herbie

Rules

18 522×	`lower-fma.f64`
18 522×	`lower-fma.f32`
5 238×	`lower-*.f64`
5 238×	`lower-*.f32`
3 788×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	232	9068
1	789	8846
2	2758	8606
3	6868	8605
0	8334	8091

Stop Event

1×	iter limit
1×	node limit

Counts

648 → 645

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

rewrite359.0ms (2.5%)

Memory

14.5MiB live, 610.7MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

4 516×	`lower-/.f32`
4 502×	`lower-/.f64`
4 028×	`lower-fma.f32`
4 024×	`lower-*.f32`
4 012×	`lower-fma.f64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	45	348
0	80	348
1	339	344
2	1919	344
0	8226	344

Stop Event

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

Counts

25 → 839

Calls

Call 1

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

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

eval418.0ms (2.9%)

Memory: 10.6MiB live, 286.4MiB allocated
Compiler: Compiled 50 182 to 2 831 computations (94.4% saved)

prune1.1s (8.1%)

Memory

-9.2MiB live, 429.1MiB allocated

Pruning

41 alts after pruning (37 fresh and 4 done)

	Pruned	Kept	Total
New	1 548	22	1 570
Fresh	8	15	23
Picked	3	2	5
Done	0	2	2
Total	1 559	41	1 600

Accuracy

100.0%

Counts

1 600 → 41

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	95.5%	(/.f64 (*.f64 (/.f64 (cosh.f64 x) x) y) z)
▶	86.9%	(/.f64 (.f64 (/.f64 #s(approx (cosh x) (fma.f64 (.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))) x) y) z)
✓	50.6%	(/.f64 (*.f64 (/.f64 #s(approx (cosh x) #s(literal 1 binary64)) x) y) z)
	81.6%	(/.f64 (.f64 (cosh.f64 x) y) (.f64 x z))
	56.4%	(/.f64 (.f64 #s(approx (cosh x) (fma.f64 (.f64 (.f64 x x) (fma.f64 (.f64 x x) (.f64 (.f64 x (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) (.f64 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 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 y x)) z)
▶	77.7%	(/.f64 (.f64 #s(approx (cosh x) (fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(approx (+ ( (* x x) 1/720) 1/24) (.f64 (.f64 x x) #s(literal 1/720 binary64))) #s(literal 1/2 binary64))) #s(literal 1 binary64))) (/.f64 y x)) z)
▶	90.1%	(/.f64 #s(approx (* (/ (cosh x) x) y) (/.f64 (fma.f64 (.f64 x y) (.f64 (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) y) x)) z)
	88.8%	(/.f64 #s(approx (* (/ (cosh x) x) y) (/.f64 (fma.f64 (.f64 x x) #s(approx ( y (+ (* x (* x (+ (* x (* x 1/720)) 1/24))) 1/2)) (.f64 y (.f64 x (.f64 x (.f64 (*.f64 x x) #s(literal 1/720 binary64)))))) y) x)) z)
	50.6%	(/.f64 #s(approx (* (/ (cosh x) x) y) (/.f64 y x)) z)
	86.2%	(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 x (.f64 x #s(approx ( y (+ (* x (* x 1/24)) 1/2)) (.f64 x (.f64 y (*.f64 x #s(literal 1/24 binary64)))))) y) x)) z)
	65.7%	(/.f64 #s(approx (* (cosh x) (/ y x)) (*.f64 y (fma.f64 x #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))) z)
	84.3%	(/.f64 #s(approx (* (cosh x) (/ y x)) #s(approx (/ (+ (* x (* x (* y (+ (* x (* x 1/24)) 1/2)))) y) x) (fma.f64 (fma.f64 x (.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) (.f64 y x) (/.f64 y x)))) z)
▶	40.9%	(/.f64 #s(approx (* (cosh x) (/ y x)) #s(approx (/ (+ (* x (* x (* y (+ (* x (* x 1/24)) 1/2)))) y) x) (.f64 (fma.f64 x (.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) (*.f64 y x)))) z)
	41.0%	(/.f64 #s(approx (* (cosh x) (/ y x)) #s(approx (/ (+ (* x (* x (* y (+ (* x (* x 1/24)) 1/2)))) y) x) (.f64 #s(literal 1/24 binary64) (.f64 y (.f64 x (.f64 x x)))))) z)
▶	22.5%	(/.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)
	50.9%	(/.f64 #s(literal 1 binary64) (.f64 z (/.f64 x (.f64 y #s(approx (cosh x) #s(literal 1 binary64))))))
	77.5%	(.f64 (/.f64 #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))) z) (/.f64 y x))
	50.6%	(*.f64 (/.f64 #s(approx (cosh x) #s(literal 1 binary64)) z) (/.f64 y x))
	52.5%	(*.f64 (/.f64 #s(approx (cosh x) #s(literal 1 binary64)) x) (/.f64 y z))
	77.9%	(.f64 (/.f64 #s(literal 1 binary64) z) (.f64 (/.f64 y x) #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)))))
	86.5%	(.f64 (/.f64 #s(literal 1 binary64) 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)))
	77.4%	#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (fma.f64 (.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))) y y) (*.f64 x z)))
	75.0%	#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (fma.f64 (.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) y y) (.f64 x z)))
	76.7%	#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (fma.f64 (.f64 y (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) y) (*.f64 x z)))
	77.0%	#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (fma.f64 (.f64 x y) (.f64 (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) y) (*.f64 x z)))
	67.4%	#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (fma.f64 y (.f64 #s(literal 1/2 binary64) (.f64 x x)) y) (*.f64 x z)))
	53.8%	#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (fma.f64 x (/.f64 (.f64 (.f64 x y) (fma.f64 (.f64 x (.f64 x x)) (.f64 #s(literal 1/13824 binary64) (.f64 x (.f64 x x))) #s(literal 1/8 binary64))) (fma.f64 #s(literal 1/576 binary64) (.f64 (.f64 x x) (.f64 x x)) (-.f64 #s(literal 1/4 binary64) (.f64 (.f64 x x) #s(literal 1/48 binary64))))) y) (*.f64 x z)))
	55.1%	#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (fma.f64 x (/.f64 (.f64 (.f64 x y) (fma.f64 (.f64 x x) (.f64 (.f64 x (fma.f64 x (.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) (.f64 x (fma.f64 x (.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64)))) #s(literal -1/4 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))) y) (*.f64 x z)))
	76.7%	#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (fma.f64 x (.f64 x (fma.f64 (.f64 y (.f64 x (fma.f64 x (.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64)))) x (.f64 y #s(literal 1/2 binary64)))) y) (.f64 x z)))
	76.6%	#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 z (/.f64 #s(literal 1 binary64) x))))
	76.4%	#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (fma.f64 x (.f64 x (.f64 y (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)))) y) (*.f64 x z)))
	76.1%	#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (fma.f64 x (.f64 x #s(approx ( y (+ (* (* x x) (+ (* (* x x) 1/720) 1/24)) 1/2)) (.f64 y (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/720 binary64))))))) y) (.f64 x z)))
	74.2%	#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (fma.f64 x (.f64 x #s(approx ( y (+ (* x (* x 1/24)) 1/2)) (.f64 y (.f64 (.f64 x x) #s(literal 1/24 binary64))))) y) (.f64 x z)))
	88.0%	#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (/.f64 (fma.f64 (.f64 x y) (.f64 (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) x) y) z) x))
	38.8%	#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (/.f64 (.f64 (fma.f64 (.f64 x y) (.f64 (fma.f64 x (.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) x) y) (fma.f64 x (.f64 y (.f64 (fma.f64 x (.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) x)) (neg.f64 y))) (.f64 x z)) (fma.f64 x (.f64 y (.f64 (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) x)) (neg.f64 y))))
	52.4%	#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (/.f64 y z) x))
	74.6%	#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 #s(approx (+ (* x (* x (* y (+ (* (* x x) (+ (* (* x x) 1/720) 1/24)) 1/2)))) y) (fma.f64 (.f64 y (.f64 x x)) (fma.f64 (.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) y)) (.f64 x z)))
	31.0%	#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 #s(approx (+ (* x (* x (* y (+ (* x (* x 1/24)) 1/2)))) y) (.f64 x (.f64 y (.f64 (.f64 (.f64 x x) #s(literal 1/24 binary64)) x)))) (.f64 x z)))
✓	50.1%	#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 y (*.f64 x z)))
✓	49.5%	#s(approx (/ (* (cosh x) (/ y x)) z) (.f64 (/.f64 #s(literal 1 binary64) (.f64 x z)) y))
	41.0%	#s(approx (/ (* (cosh x) (/ y x)) z) #s(approx (/ (+ (* x (* x (* y (+ (* x (* x 1/24)) 1/2)))) y) (* x z)) (/.f64 (.f64 y (.f64 (.f64 (.f64 x x) #s(literal 1/24 binary64)) x)) z)))

Compiler

Compiled 1 758 to 928 computations (47.2% saved)

simplify428.0ms (3%)

Memory

-16.3MiB live, 472.5MiB 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) #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))
✓	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) (.f64 (.f64 x x) #s(literal 1/720 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) (.f64 (.f64 x x) #s(literal 1/720 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) (.f64 (.f64 x x) #s(literal 1/720 binary64))) #s(literal 1/2 binary64))) #s(literal 1 binary64))) (/.f64 y x)) z)
✓	cost-diff	0	#s(approx (cosh x) (fma.f64 (.f64 x x) (fma.f64 (.f64 x 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 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))) x)
✓	cost-diff	0	(.f64 (/.f64 #s(approx (cosh x) (fma.f64 (.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))) x) y)
✓	cost-diff	384	(/.f64 (.f64 (/.f64 #s(approx (cosh x) (fma.f64 (.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))) x) y) z)
✓	cost-diff	0	(.f64 (fma.f64 x (.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) (*.f64 y x))
✓	cost-diff	0	#s(approx (/ (+ (* x (* x (* y (+ (* x (* x 1/24)) 1/2)))) y) x) (.f64 (fma.f64 x (.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) (*.f64 y x)))
✓	cost-diff	0	#s(approx (* (cosh x) (/ y x)) #s(approx (/ (+ (* x (* x (* y (+ (* x (* x 1/24)) 1/2)))) y) x) (.f64 (fma.f64 x (.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) (*.f64 y x))))
✓	cost-diff	0	(/.f64 #s(approx (* (cosh x) (/ y x)) #s(approx (/ (+ (* x (* x (* y (+ (* x (* x 1/24)) 1/2)))) y) x) (.f64 (fma.f64 x (.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) (*.f64 y x)))) 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	(fma.f64 (.f64 x y) (.f64 (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) y)
✓	cost-diff	0	#s(approx (* (/ (cosh x) x) y) (/.f64 (fma.f64 (.f64 x y) (.f64 (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) y) x))
✓	cost-diff	0	(/.f64 #s(approx (* (/ (cosh x) x) y) (/.f64 (fma.f64 (.f64 x y) (.f64 (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) y) x)) z)
✓	cost-diff	320	(/.f64 (fma.f64 (.f64 x y) (.f64 (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) y) x)

Rules

12 312×	`lower-fma.f32`
12 296×	`lower-fma.f64`
4 868×	`lower-*.f32`
4 842×	`lower-*.f64`
1 768×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	63	614
0	101	607
1	202	607
2	414	604
3	858	604
4	1325	604
5	1972	604
6	2166	604
7	2669	604
8	3261	598
9	4181	598
10	5221	598
11	6698	598
12	7266	598
0	8035	589

Stop Event

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

Calls

Call 1

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

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

localize184.0ms (1.3%)

Memory

21.8MiB live, 386.8MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
✓	accuracy	95.5%	(/.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)
✓	accuracy	93.2%	#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)))
✓	accuracy	89.7%	(.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))
✓	accuracy	49.0%	#s(approx (+ (* (* x x) 1/720) 1/24) (.f64 (.f64 x x) #s(literal 1/720 binary64)))
✓	accuracy	99.9%	(.f64 (/.f64 #s(approx (cosh x) (fma.f64 (.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))) x) y)
✓	accuracy	99.9%	(fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64))
✓	accuracy	95.5%	(/.f64 (.f64 (/.f64 #s(approx (cosh x) (fma.f64 (.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))) x) y) z)
✓	accuracy	89.4%	#s(approx (cosh x) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
✓	accuracy	99.2%	(.f64 (fma.f64 x (.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) (*.f64 y x))
✓	accuracy	95.5%	(/.f64 #s(approx (* (cosh x) (/ y x)) #s(approx (/ (+ (* x (* x (* y (+ (* x (* x 1/24)) 1/2)))) y) x) (.f64 (fma.f64 x (.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) (*.f64 y x)))) z)
✓	accuracy	85.3%	#s(approx (* (cosh x) (/ y x)) #s(approx (/ (+ (* x (* x (* y (+ (* x (* x 1/24)) 1/2)))) y) x) (.f64 (fma.f64 x (.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) (*.f64 y x))))
✓	accuracy	49.1%	#s(approx (/ (+ (* x (* x (* y (+ (* x (* x 1/24)) 1/2)))) y) x) (.f64 (fma.f64 x (.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) (*.f64 y x)))
✓	accuracy	100.0%	(.f64 #s(literal 1/2 binary64) (.f64 y x))
✓	accuracy	95.5%	(/.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	63.0%	#s(approx (* (cosh x) (/ y x)) #s(approx (+ (* y (* x 1/2)) (/ y x)) (.f64 #s(literal 1/2 binary64) (.f64 y x))))
✓	accuracy	49.0%	#s(approx (+ (* y (* x 1/2)) (/ y x)) (.f64 #s(literal 1/2 binary64) (.f64 y x)))
✓	accuracy	98.5%	(fma.f64 (.f64 x y) (.f64 (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) y)
✓	accuracy	98.2%	(/.f64 (fma.f64 (.f64 x y) (.f64 (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) y) x)
✓	accuracy	95.5%	(/.f64 #s(approx (* (/ (cosh x) x) y) (/.f64 (fma.f64 (.f64 x y) (.f64 (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) y) x)) z)
✓	accuracy	91.3%	#s(approx (* (/ (cosh x) x) y) (/.f64 (fma.f64 (.f64 x y) (.f64 (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) y) x))

Samples

106.0ms

256×

valid

Compiler

Compiled 347 to 53 computations (84.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 76.0ms

ival-mult: 37.0ms (48.4% of total)

ival-add: 18.0ms (23.5% of total)

ival-div: 11.0ms (14.4% of total)

const: 7.0ms (9.2% of total)

ival-cosh: 3.0ms (3.9% of total)

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

exact: 0.0ms (0% of total)

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

series30.0ms (0.2%)

Memory

8.4MiB live, 47.1MiB allocated

Counts

22 → 516

Calls

Call 1

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

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

Calls

129 calls:

Time	Variable		Point	Expression
2.0ms	x	@	inf	(cosh x)
0.0ms	x	@	0	(* 1/2 (* y x))
0.0ms	x	@	inf	(* 1/2 (* y x))
0.0ms	x	@	-inf	(* 1/2 (* y x))
0.0ms	x	@	0	(/ (+ (* (* x y) (* (+ (* x (* x (+ (* x (* x 1/720)) 1/24))) 1/2) x)) y) x)

simplify420.0ms (3%)

Memory

-27.4MiB live, 843.8MiB allocated

Algorithm

1×	egg-herbie

Rules

17 286×	`lower-fma.f64`
17 286×	`lower-fma.f32`
4 532×	`lower-*.f64`
4 532×	`lower-*.f32`
3 496×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	192	6776
1	620	6714
2	2008	6536
3	4767	6502
0	8215	6241

Stop Event

1×	iter limit
1×	node limit

Counts

516 → 515

Calls

Call 1

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

rewrite460.0ms (3.2%)

Memory

24.1MiB live, 581.4MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

6 416×	`lower-fma.f32`
6 400×	`lower-fma.f64`
4 686×	`lower-*.f32`
4 660×	`lower-*.f64`
4 026×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	63	465
0	101	460
1	387	460
2	2446	460
0	8691	454

Stop Event

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

Counts

22 → 418

Calls

Call 1

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

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

eval207.0ms (1.5%)

Memory: 21.1MiB live, 173.3MiB allocated
Compiler: Compiled 22 655 to 1 432 computations (93.7% saved)

prune394.0ms (2.8%)

Memory

-37.2MiB live, 257.6MiB allocated

Pruning

45 alts after pruning (37 fresh and 8 done)

	Pruned	Kept	Total
New	920	13	933
Fresh	8	24	32
Picked	1	4	5
Done	0	4	4
Total	929	45	974

Accuracy

100.0%

Counts

974 → 45

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	95.5%	(/.f64 (*.f64 (/.f64 (cosh.f64 x) x) y) z)
	90.8%	(/.f64 (.f64 (/.f64 #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) y) z)
	86.5%	(/.f64 (.f64 (/.f64 #s(approx (cosh x) (fma.f64 (.f64 x x) #s(approx (+ (* (* x x) 1/24) 1/2) (.f64 x (.f64 x #s(literal 1/24 binary64)))) #s(literal 1 binary64))) x) y) z)
✓	50.6%	(/.f64 (*.f64 (/.f64 #s(approx (cosh x) #s(literal 1 binary64)) x) y) z)
	81.6%	(/.f64 (.f64 (cosh.f64 x) y) (.f64 x z))
	56.4%	(/.f64 (.f64 #s(approx (cosh x) (fma.f64 (.f64 (.f64 x x) (fma.f64 (.f64 x x) (.f64 (.f64 x (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) (.f64 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 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 y x)) z)
✓	77.7%	(/.f64 (.f64 #s(approx (cosh x) (fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(approx (+ ( (* x x) 1/720) 1/24) (.f64 (.f64 x x) #s(literal 1/720 binary64))) #s(literal 1/2 binary64))) #s(literal 1 binary64))) (/.f64 y x)) z)
	82.9%	(/.f64 (.f64 #s(approx (cosh x) (fma.f64 x (.f64 x (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64))) (/.f64 y z)) x)
	77.1%	(/.f64 (.f64 y #s(approx (cosh x) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(approx (+ ( (* x x) 1/720) 1/24) (.f64 x (.f64 x #s(literal 1/720 binary64)))) #s(literal 1/2 binary64)) #s(literal 1 binary64)))) (*.f64 z x))
	75.0%	(/.f64 (.f64 y #s(approx (cosh x) (fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64)))) (.f64 z x))
✓	90.1%	(/.f64 #s(approx (* (/ (cosh x) x) y) (/.f64 (fma.f64 (.f64 x y) (.f64 (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) y) x)) z)
	88.8%	(/.f64 #s(approx (* (/ (cosh x) x) y) (/.f64 (fma.f64 (.f64 x x) #s(approx ( y (+ (* x (* x (+ (* x (* x 1/720)) 1/24))) 1/2)) (.f64 y (.f64 x (.f64 x (.f64 (*.f64 x x) #s(literal 1/720 binary64)))))) y) x)) z)
	50.6%	(/.f64 #s(approx (* (/ (cosh x) x) y) (/.f64 y x)) z)
	65.7%	(/.f64 #s(approx (* (cosh x) (/ y x)) (*.f64 y (fma.f64 x #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))) z)
	84.3%	(/.f64 #s(approx (* (cosh x) (/ y x)) #s(approx (/ (+ (* x (* x (* y (+ (* x (* x 1/24)) 1/2)))) y) x) (fma.f64 (fma.f64 x (.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) (.f64 y x) (/.f64 y x)))) z)
	11.7%	(/.f64 #s(approx (* (cosh x) (/ y x)) #s(approx (/ (+ (* x (* x (* y (+ (* x (* x 1/24)) 1/2)))) y) x) (/.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)) (.f64 x y)) (fma.f64 #s(literal 1/576 binary64) (.f64 (.f64 x x) (.f64 x x)) (-.f64 #s(literal 1/4 binary64) (.f64 (.f64 x x) #s(literal 1/48 binary64))))))) z)
✓	40.9%	(/.f64 #s(approx (* (cosh x) (/ y x)) #s(approx (/ (+ (* x (* x (* y (+ (* x (* x 1/24)) 1/2)))) y) x) (.f64 (fma.f64 x (.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) (*.f64 y x)))) z)
	40.9%	(/.f64 #s(approx (* (cosh x) (/ y x)) #s(approx (/ (+ (* x (* x (* y (+ (* x (* x 1/24)) 1/2)))) y) x) (.f64 (.f64 y (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) x))) z)
	40.3%	(/.f64 #s(approx (* (cosh x) (/ y x)) #s(approx (/ (+ (* x (* x (* y (+ (* x (* x 1/24)) 1/2)))) y) x) (.f64 x (.f64 (.f64 y (.f64 x x)) #s(literal 1/24 binary64))))) z)
	41.0%	(/.f64 #s(approx (* (cosh x) (/ y x)) #s(approx (/ (+ (* x (* x (* y (+ (* x (* x 1/24)) 1/2)))) y) x) (.f64 #s(literal 1/24 binary64) (.f64 y (.f64 x (.f64 x x)))))) z)
✓	22.5%	(/.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)
	41.7%	(/.f64 #s(literal 1 binary64) (/.f64 z #s(approx (* (/ (cosh x) x) y) #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))))))))
	50.9%	(/.f64 #s(literal 1 binary64) (.f64 z (/.f64 x (.f64 y #s(approx (cosh x) #s(literal 1 binary64))))))
	75.1%	(.f64 (/.f64 #s(approx (cosh x) (fma.f64 x (.f64 x (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64))) z) (/.f64 y x))
	50.6%	(*.f64 (/.f64 #s(approx (cosh x) #s(literal 1 binary64)) z) (/.f64 y x))
	52.5%	(*.f64 (/.f64 #s(approx (cosh x) #s(literal 1 binary64)) x) (/.f64 y z))
	77.9%	(.f64 (/.f64 #s(literal 1 binary64) z) (.f64 (/.f64 y x) #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)))))
	41.7%	(.f64 (/.f64 #s(literal 1 binary64) z) #s(approx ( (/ (cosh x) x) y) #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)))))))
	22.5%	(.f64 (/.f64 #s(literal 1 binary64) z) #s(approx ( (/ (cosh x) x) y) #s(approx (+ (* y (* x 1/2)) (/ y x)) (.f64 x (.f64 y #s(literal 1/2 binary64))))))
	86.1%	(.f64 y (/.f64 (/.f64 #s(approx (cosh x) (fma.f64 x (.f64 x (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64))) x) z))
	77.4%	#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (fma.f64 (.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))) y y) (*.f64 x z)))
	76.7%	#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (fma.f64 (.f64 y (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) y) (*.f64 x z)))
	77.0%	#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (fma.f64 (.f64 x y) (.f64 (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) y) (*.f64 x z)))
	67.4%	#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (fma.f64 y (.f64 #s(literal 1/2 binary64) (.f64 x x)) y) (*.f64 x z)))
	55.1%	#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (fma.f64 x (/.f64 (.f64 (.f64 x y) (fma.f64 (.f64 x x) (.f64 (.f64 x (fma.f64 x (.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) (.f64 x (fma.f64 x (.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64)))) #s(literal -1/4 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))) y) (*.f64 x z)))
	76.7%	#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (fma.f64 x (.f64 x (fma.f64 (.f64 y (.f64 x (fma.f64 x (.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64)))) x (.f64 y #s(literal 1/2 binary64)))) y) (.f64 x z)))
	76.6%	#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 z (/.f64 #s(literal 1 binary64) x))))
	76.1%	#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (fma.f64 x (.f64 x #s(approx ( y (+ (* (* x x) (+ (* (* x x) 1/720) 1/24)) 1/2)) (.f64 y (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/720 binary64))))))) y) (.f64 x z)))
	38.8%	#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (/.f64 (.f64 (fma.f64 (.f64 x y) (.f64 (fma.f64 x (.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) x) y) (fma.f64 x (.f64 y (.f64 (fma.f64 x (.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) x)) (neg.f64 y))) (.f64 x z)) (fma.f64 x (.f64 y (.f64 (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) x)) (neg.f64 y))))
	52.4%	#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (/.f64 y z) x))
	74.6%	#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 #s(approx (+ (* x (* x (* y (+ (* (* x x) (+ (* (* x x) 1/720) 1/24)) 1/2)))) y) (fma.f64 (.f64 y (.f64 x x)) (fma.f64 (.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) y)) (.f64 x z)))
	31.0%	#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 #s(approx (+ (* x (* x (* y (+ (* x (* x 1/24)) 1/2)))) y) (.f64 x (.f64 y (.f64 (.f64 (.f64 x x) #s(literal 1/24 binary64)) x)))) (.f64 x z)))
✓	50.1%	#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 y (*.f64 x z)))
✓	49.5%	#s(approx (/ (* (cosh x) (/ y x)) z) (.f64 (/.f64 #s(literal 1 binary64) (.f64 x z)) y))
	41.0%	#s(approx (/ (* (cosh x) (/ y x)) z) #s(approx (/ (+ (* x (* x (* y (+ (* x (* x 1/24)) 1/2)))) y) (* x z)) (/.f64 (.f64 y (.f64 (.f64 (.f64 x x) #s(literal 1/24 binary64)) x)) z)))

Compiler

Compiled 2 312 to 790 computations (65.8% saved)

regimes189.0ms (1.3%)

Memory

5.1MiB live, 120.4MiB allocated

Counts

75 → 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)
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (/.f64 y z) x))
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 y x)) z)
(/.f64 #s(approx (* (/ (cosh x) x) y) (/.f64 y x)) z)
(.f64 (/.f64 #s(literal 1 binary64) z) #s(approx ( (/ (cosh x) x) y) #s(approx (+ (* y (* x 1/2)) (/ y x)) (.f64 x (.f64 y #s(literal 1/2 binary64))))))
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (/.f64 y x) (/.f64 #s(literal 1 binary64) z)))
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (/.f64 y z) (/.f64 #s(literal 1 binary64) x)))
(*.f64 (/.f64 #s(approx (cosh x) #s(literal 1 binary64)) x) (/.f64 y z))
(*.f64 (/.f64 #s(approx (cosh x) #s(literal 1 binary64)) z) (/.f64 y x))
(/.f64 (*.f64 (/.f64 #s(approx (cosh x) #s(literal 1 binary64)) x) y) z)
#s(approx (/ (* (cosh x) (/ y x)) z) #s(approx (/ (+ (* x (* x (* y (+ (* x (* x 1/24)) 1/2)))) y) (* x z)) (/.f64 (.f64 y (.f64 (.f64 (.f64 x x) #s(literal 1/24 binary64)) x)) z)))
(/.f64 #s(approx (* (cosh x) (/ y x)) #s(approx (/ (+ (* x (* x (* y (+ (* x (* x 1/24)) 1/2)))) y) x) (.f64 #s(literal 1/24 binary64) (.f64 y (.f64 x (.f64 x 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 (.f64 y (.f64 x x)) #s(literal 1/24 binary64))))) 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 #s(literal 1 binary64) (.f64 z (/.f64 x (.f64 y #s(approx (cosh 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 (.f64 y (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) x))) z)
(/.f64 #s(approx (* (cosh x) (/ y x)) #s(approx (/ (+ (* x (* x (* y (+ (* x (* x 1/24)) 1/2)))) y) x) (.f64 (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)) z) (/.f64 #s(literal 1 binary64) (/.f64 x (/.f64 y z))))
(/.f64 #s(approx (* (cosh x) (/ y x)) (*.f64 y (fma.f64 x #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))) 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) x) y) #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 (.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (.f64 x x) #s(literal 1 binary64))) (/.f64 y x)) z)
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 #s(approx (+ (* x (* x (* y (+ (* x (* x 1/24)) 1/2)))) y) (.f64 x (.f64 y (.f64 (.f64 (.f64 x x) #s(literal 1/24 binary64)) x)))) (.f64 x z)))
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (fma.f64 x (.f64 x #s(approx ( y (+ (* x (* x 1/24)) 1/2)) (.f64 y (.f64 (.f64 x x) #s(literal 1/24 binary64))))) y) (.f64 x z)))
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 #s(approx (+ (* x (* x (* y (+ (* (* x x) (+ (* (* x x) 1/720) 1/24)) 1/2)))) y) (fma.f64 (.f64 y (.f64 x x)) (fma.f64 (.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) y)) (.f64 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)))
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (fma.f64 (.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) y y) (.f64 x z)))
(/.f64 #s(literal 1 binary64) (/.f64 z #s(approx (* (/ (cosh x) x) y) #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 (.f64 y #s(approx (cosh x) (fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64)))) (.f64 z x))
(/.f64 #s(approx (* (cosh x) (/ y x)) #s(approx (/ (+ (* x (* x (* y (+ (* x (* x 1/24)) 1/2)))) y) x) (fma.f64 (fma.f64 x (.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) (.f64 y x) (/.f64 y x)))) z)
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 x (.f64 x #s(approx ( y (+ (* x (* x 1/24)) 1/2)) (.f64 x (.f64 y (*.f64 x #s(literal 1/24 binary64)))))) y) x)) z)
(/.f64 (.f64 (/.f64 #s(approx (cosh x) (fma.f64 (.f64 x x) #s(approx (+ (* (* x x) 1/24) 1/2) (.f64 x (.f64 x #s(literal 1/24 binary64)))) #s(literal 1 binary64))) x) y) z)
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (/.f64 (fma.f64 (.f64 x y) (.f64 (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) x) y) z) x))
(.f64 y (/.f64 (/.f64 #s(approx (cosh x) (fma.f64 x (.f64 x (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64))) x) z))
(.f64 (/.f64 #s(approx (cosh x) (fma.f64 x (.f64 x (fma.f64 x (*.f64 x #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 (.f64 #s(approx (cosh x) (fma.f64 x (.f64 x (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64))) (/.f64 y 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 (/.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))) x) y) z)
(/.f64 (.f64 (/.f64 #s(approx (cosh x) (fma.f64 (.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))) x) y) z)
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (fma.f64 x (.f64 x #s(approx ( y (+ (* (* x x) (+ (* (* x x) 1/720) 1/24)) 1/2)) (.f64 y (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/720 binary64))))))) y) (.f64 x z)))
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (fma.f64 x (.f64 x (.f64 y (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)))) y) (*.f64 x z)))
(/.f64 (.f64 y #s(approx (cosh x) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(approx (+ ( (* x x) 1/720) 1/24) (.f64 x (.f64 x #s(literal 1/720 binary64)))) #s(literal 1/2 binary64)) #s(literal 1 binary64)))) (*.f64 z x))
#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)))
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (fma.f64 (.f64 x y) (.f64 (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) y) (*.f64 x z)))
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (fma.f64 (.f64 y (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) y) (*.f64 x z)))
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (fma.f64 (.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))) y y) (*.f64 x z)))
(.f64 (/.f64 #s(literal 1 binary64) 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 (.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)))) (*.f64 x z))
(/.f64 #s(approx (* (/ (cosh x) x) y) (/.f64 (fma.f64 (.f64 x x) #s(approx ( y (+ (* x (* x (+ (* x (* x 1/720)) 1/24))) 1/2)) (.f64 y (.f64 x (.f64 x (.f64 (*.f64 x x) #s(literal 1/720 binary64)))))) y) x)) z)
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (fma.f64 x (.f64 x (fma.f64 (.f64 y (.f64 x (fma.f64 x (.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64)))) x (.f64 y #s(literal 1/2 binary64)))) y) (.f64 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) (.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 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))) z) (/.f64 y x))
(/.f64 #s(approx (* (/ (cosh x) x) y) (/.f64 (fma.f64 (.f64 x x) (.f64 y (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))) y) x)) z)
(/.f64 #s(approx (* (/ (cosh x) x) y) (/.f64 (fma.f64 (.f64 x y) (.f64 (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) 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 (/.f64 #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) y) z)
(.f64 (/.f64 #s(literal 1 binary64) z) (.f64 (/.f64 y x) #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)))))
#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 z (/.f64 #s(literal 1 binary64) x))))
(/.f64 #s(approx (* (cosh x) (/ y x)) #s(approx (/ (+ (* x (* x (* y (+ (* x (* x 1/24)) 1/2)))) y) x) (/.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)) (.f64 x y)) (fma.f64 #s(literal 1/576 binary64) (.f64 (.f64 x x) (.f64 x x)) (-.f64 #s(literal 1/4 binary64) (.f64 (.f64 x x) #s(literal 1/48 binary64))))))) z)
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (fma.f64 x (/.f64 (.f64 (.f64 x y) (fma.f64 (.f64 x (.f64 x x)) (.f64 #s(literal 1/13824 binary64) (.f64 x (.f64 x x))) #s(literal 1/8 binary64))) (fma.f64 #s(literal 1/576 binary64) (.f64 (.f64 x x) (.f64 x x)) (-.f64 #s(literal 1/4 binary64) (.f64 (.f64 x x) #s(literal 1/48 binary64))))) y) (*.f64 x z)))
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (fma.f64 x (/.f64 (.f64 (.f64 x y) (fma.f64 (.f64 x x) (.f64 (.f64 x (fma.f64 x (.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) (.f64 x (fma.f64 x (.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64)))) #s(literal -1/4 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))) y) (*.f64 x z)))
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (/.f64 (.f64 (fma.f64 (.f64 x y) (.f64 (fma.f64 x (.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) x) y) (fma.f64 x (.f64 y (.f64 (fma.f64 x (.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) x)) (neg.f64 y))) (.f64 x z)) (fma.f64 x (.f64 y (.f64 (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) x)) (neg.f64 y))))
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (.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 (.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 y (/.f64 (cosh.f64 x) (.f64 x z)))
(/.f64 (.f64 (cosh.f64 x) y) (.f64 x z))
(/.f64 (.f64 #s(approx (cosh x) (fma.f64 (.f64 (.f64 x x) (fma.f64 (.f64 x x) (.f64 (.f64 x (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) (.f64 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 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 y x)) z)
(*.f64 (/.f64 y z) (/.f64 (cosh.f64 x) x))
(*.f64 (/.f64 (cosh.f64 x) z) (/.f64 y x))
(/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z)
(/.f64 (*.f64 (/.f64 (cosh.f64 x) x) y) z)
(/.f64 (.f64 (cosh.f64 x) #s(literal 2 binary64)) (.f64 (/.f64 (*.f64 x #s(literal 2 binary64)) y) z))

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

Calls

5 calls:

57.0ms	z
49.0ms	(*.f64 (cosh.f64 x) (/.f64 y x))
42.0ms	x
20.0ms	y
18.0ms	(/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z)

Results

Accuracy	Segments	Branch
98.8%	3	`x`
99.8%	2	`y`
95.5%	1	`z`
95.5%	1	`(/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z)`
95.5%	1	`(*.f64 (cosh.f64 x) (/.f64 y x))`

Compiler

Compiled 32 to 22 computations (31.3% saved)

regimes124.0ms (0.9%)

Memory

4.4MiB live, 118.8MiB allocated

Counts

73 → 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)
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (/.f64 y z) x))
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 y x)) z)
(/.f64 #s(approx (* (/ (cosh x) x) y) (/.f64 y x)) z)
(.f64 (/.f64 #s(literal 1 binary64) z) #s(approx ( (/ (cosh x) x) y) #s(approx (+ (* y (* x 1/2)) (/ y x)) (.f64 x (.f64 y #s(literal 1/2 binary64))))))
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (/.f64 y x) (/.f64 #s(literal 1 binary64) z)))
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (/.f64 y z) (/.f64 #s(literal 1 binary64) x)))
(*.f64 (/.f64 #s(approx (cosh x) #s(literal 1 binary64)) x) (/.f64 y z))
(*.f64 (/.f64 #s(approx (cosh x) #s(literal 1 binary64)) z) (/.f64 y x))
(/.f64 (*.f64 (/.f64 #s(approx (cosh x) #s(literal 1 binary64)) x) y) z)
#s(approx (/ (* (cosh x) (/ y x)) z) #s(approx (/ (+ (* x (* x (* y (+ (* x (* x 1/24)) 1/2)))) y) (* x z)) (/.f64 (.f64 y (.f64 (.f64 (.f64 x x) #s(literal 1/24 binary64)) x)) z)))
(/.f64 #s(approx (* (cosh x) (/ y x)) #s(approx (/ (+ (* x (* x (* y (+ (* x (* x 1/24)) 1/2)))) y) x) (.f64 #s(literal 1/24 binary64) (.f64 y (.f64 x (.f64 x 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 (.f64 y (.f64 x x)) #s(literal 1/24 binary64))))) 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 #s(literal 1 binary64) (.f64 z (/.f64 x (.f64 y #s(approx (cosh 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 (.f64 y (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) x))) z)
(/.f64 #s(approx (* (cosh x) (/ y x)) #s(approx (/ (+ (* x (* x (* y (+ (* x (* x 1/24)) 1/2)))) y) x) (.f64 (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)) z) (/.f64 #s(literal 1 binary64) (/.f64 x (/.f64 y z))))
(/.f64 #s(approx (* (cosh x) (/ y x)) (*.f64 y (fma.f64 x #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))) 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) x) y) #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 (.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (.f64 x x) #s(literal 1 binary64))) (/.f64 y x)) z)
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 #s(approx (+ (* x (* x (* y (+ (* x (* x 1/24)) 1/2)))) y) (.f64 x (.f64 y (.f64 (.f64 (.f64 x x) #s(literal 1/24 binary64)) x)))) (.f64 x z)))
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (fma.f64 x (.f64 x #s(approx ( y (+ (* x (* x 1/24)) 1/2)) (.f64 y (.f64 (.f64 x x) #s(literal 1/24 binary64))))) y) (.f64 x z)))
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 #s(approx (+ (* x (* x (* y (+ (* (* x x) (+ (* (* x x) 1/720) 1/24)) 1/2)))) y) (fma.f64 (.f64 y (.f64 x x)) (fma.f64 (.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) y)) (.f64 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)))
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (fma.f64 (.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) y y) (.f64 x z)))
(/.f64 #s(literal 1 binary64) (/.f64 z #s(approx (* (/ (cosh x) x) y) #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 (.f64 y #s(approx (cosh x) (fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64)))) (.f64 z x))
(/.f64 #s(approx (* (cosh x) (/ y x)) #s(approx (/ (+ (* x (* x (* y (+ (* x (* x 1/24)) 1/2)))) y) x) (fma.f64 (fma.f64 x (.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) (.f64 y x) (/.f64 y x)))) z)
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 x (.f64 x #s(approx ( y (+ (* x (* x 1/24)) 1/2)) (.f64 x (.f64 y (*.f64 x #s(literal 1/24 binary64)))))) y) x)) z)
(/.f64 (.f64 (/.f64 #s(approx (cosh x) (fma.f64 (.f64 x x) #s(approx (+ (* (* x x) 1/24) 1/2) (.f64 x (.f64 x #s(literal 1/24 binary64)))) #s(literal 1 binary64))) x) y) z)
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (/.f64 (fma.f64 (.f64 x y) (.f64 (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) x) y) z) x))
(.f64 y (/.f64 (/.f64 #s(approx (cosh x) (fma.f64 x (.f64 x (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64))) x) z))
(.f64 (/.f64 #s(approx (cosh x) (fma.f64 x (.f64 x (fma.f64 x (*.f64 x #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 (.f64 #s(approx (cosh x) (fma.f64 x (.f64 x (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64))) (/.f64 y 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 (/.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))) x) y) z)
(/.f64 (.f64 (/.f64 #s(approx (cosh x) (fma.f64 (.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))) x) y) z)
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (fma.f64 x (.f64 x #s(approx ( y (+ (* (* x x) (+ (* (* x x) 1/720) 1/24)) 1/2)) (.f64 y (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/720 binary64))))))) y) (.f64 x z)))
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (fma.f64 x (.f64 x (.f64 y (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)))) y) (*.f64 x z)))
(/.f64 (.f64 y #s(approx (cosh x) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(approx (+ ( (* x x) 1/720) 1/24) (.f64 x (.f64 x #s(literal 1/720 binary64)))) #s(literal 1/2 binary64)) #s(literal 1 binary64)))) (*.f64 z x))
#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)))
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (fma.f64 (.f64 x y) (.f64 (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) y) (*.f64 x z)))
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (fma.f64 (.f64 y (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) y) (*.f64 x z)))
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (fma.f64 (.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))) y y) (*.f64 x z)))
(.f64 (/.f64 #s(literal 1 binary64) 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 (.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)))) (*.f64 x z))
(/.f64 #s(approx (* (/ (cosh x) x) y) (/.f64 (fma.f64 (.f64 x x) #s(approx ( y (+ (* x (* x (+ (* x (* x 1/720)) 1/24))) 1/2)) (.f64 y (.f64 x (.f64 x (.f64 (*.f64 x x) #s(literal 1/720 binary64)))))) y) x)) z)
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (fma.f64 x (.f64 x (fma.f64 (.f64 y (.f64 x (fma.f64 x (.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64)))) x (.f64 y #s(literal 1/2 binary64)))) y) (.f64 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) (.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 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))) z) (/.f64 y x))
(/.f64 #s(approx (* (/ (cosh x) x) y) (/.f64 (fma.f64 (.f64 x x) (.f64 y (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))) y) x)) z)
(/.f64 #s(approx (* (/ (cosh x) x) y) (/.f64 (fma.f64 (.f64 x y) (.f64 (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) 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 (/.f64 #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) y) z)
(.f64 (/.f64 #s(literal 1 binary64) z) (.f64 (/.f64 y x) #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)))))
#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 z (/.f64 #s(literal 1 binary64) x))))
(/.f64 #s(approx (* (cosh x) (/ y x)) #s(approx (/ (+ (* x (* x (* y (+ (* x (* x 1/24)) 1/2)))) y) x) (/.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)) (.f64 x y)) (fma.f64 #s(literal 1/576 binary64) (.f64 (.f64 x x) (.f64 x x)) (-.f64 #s(literal 1/4 binary64) (.f64 (.f64 x x) #s(literal 1/48 binary64))))))) z)
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (fma.f64 x (/.f64 (.f64 (.f64 x y) (fma.f64 (.f64 x (.f64 x x)) (.f64 #s(literal 1/13824 binary64) (.f64 x (.f64 x x))) #s(literal 1/8 binary64))) (fma.f64 #s(literal 1/576 binary64) (.f64 (.f64 x x) (.f64 x x)) (-.f64 #s(literal 1/4 binary64) (.f64 (.f64 x x) #s(literal 1/48 binary64))))) y) (*.f64 x z)))
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (fma.f64 x (/.f64 (.f64 (.f64 x y) (fma.f64 (.f64 x x) (.f64 (.f64 x (fma.f64 x (.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) (.f64 x (fma.f64 x (.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64)))) #s(literal -1/4 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))) y) (*.f64 x z)))
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (/.f64 (.f64 (fma.f64 (.f64 x y) (.f64 (fma.f64 x (.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) x) y) (fma.f64 x (.f64 y (.f64 (fma.f64 x (.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) x)) (neg.f64 y))) (.f64 x z)) (fma.f64 x (.f64 y (.f64 (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) x)) (neg.f64 y))))
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (.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 (.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 y (/.f64 (cosh.f64 x) (.f64 x z)))
(/.f64 (.f64 (cosh.f64 x) y) (.f64 x z))
(/.f64 (.f64 #s(approx (cosh x) (fma.f64 (.f64 (.f64 x x) (fma.f64 (.f64 x x) (.f64 (.f64 x (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) (.f64 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 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 y x)) z)
(*.f64 (/.f64 y z) (/.f64 (cosh.f64 x) x))
(*.f64 (/.f64 (cosh.f64 x) z) (/.f64 y x))
(/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z)

Outputs

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

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

Calls

5 calls:

33.0ms	z
28.0ms	(/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z)
22.0ms	x
19.0ms	y
18.0ms	(*.f64 (cosh.f64 x) (/.f64 y x))

Results

Accuracy	Segments	Branch
95.3%	2	`z`
97.9%	3	`(/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z)`
97.9%	3	`(*.f64 (cosh.f64 x) (/.f64 y x))`
98.8%	4	`x`
96.7%	2	`y`

Compiler

Compiled 32 to 22 computations (31.3% saved)

regimes153.0ms (1.1%)

Memory

19.7MiB live, 139.8MiB allocated

Counts

70 → 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)
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (/.f64 y z) x))
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 y x)) z)
(/.f64 #s(approx (* (/ (cosh x) x) y) (/.f64 y x)) z)
(.f64 (/.f64 #s(literal 1 binary64) z) #s(approx ( (/ (cosh x) x) y) #s(approx (+ (* y (* x 1/2)) (/ y x)) (.f64 x (.f64 y #s(literal 1/2 binary64))))))
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (/.f64 y x) (/.f64 #s(literal 1 binary64) z)))
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (/.f64 y z) (/.f64 #s(literal 1 binary64) x)))
(*.f64 (/.f64 #s(approx (cosh x) #s(literal 1 binary64)) x) (/.f64 y z))
(*.f64 (/.f64 #s(approx (cosh x) #s(literal 1 binary64)) z) (/.f64 y x))
(/.f64 (*.f64 (/.f64 #s(approx (cosh x) #s(literal 1 binary64)) x) y) z)
#s(approx (/ (* (cosh x) (/ y x)) z) #s(approx (/ (+ (* x (* x (* y (+ (* x (* x 1/24)) 1/2)))) y) (* x z)) (/.f64 (.f64 y (.f64 (.f64 (.f64 x x) #s(literal 1/24 binary64)) x)) z)))
(/.f64 #s(approx (* (cosh x) (/ y x)) #s(approx (/ (+ (* x (* x (* y (+ (* x (* x 1/24)) 1/2)))) y) x) (.f64 #s(literal 1/24 binary64) (.f64 y (.f64 x (.f64 x 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 (.f64 y (.f64 x x)) #s(literal 1/24 binary64))))) 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 #s(literal 1 binary64) (.f64 z (/.f64 x (.f64 y #s(approx (cosh 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 (.f64 y (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) x))) z)
(/.f64 #s(approx (* (cosh x) (/ y x)) #s(approx (/ (+ (* x (* x (* y (+ (* x (* x 1/24)) 1/2)))) y) x) (.f64 (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)) z) (/.f64 #s(literal 1 binary64) (/.f64 x (/.f64 y z))))
(/.f64 #s(approx (* (cosh x) (/ y x)) (*.f64 y (fma.f64 x #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))) 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) x) y) #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 (.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (.f64 x x) #s(literal 1 binary64))) (/.f64 y x)) z)
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 #s(approx (+ (* x (* x (* y (+ (* x (* x 1/24)) 1/2)))) y) (.f64 x (.f64 y (.f64 (.f64 (.f64 x x) #s(literal 1/24 binary64)) x)))) (.f64 x z)))
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (fma.f64 x (.f64 x #s(approx ( y (+ (* x (* x 1/24)) 1/2)) (.f64 y (.f64 (.f64 x x) #s(literal 1/24 binary64))))) y) (.f64 x z)))
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 #s(approx (+ (* x (* x (* y (+ (* (* x x) (+ (* (* x x) 1/720) 1/24)) 1/2)))) y) (fma.f64 (.f64 y (.f64 x x)) (fma.f64 (.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) y)) (.f64 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)))
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (fma.f64 (.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) y y) (.f64 x z)))
(/.f64 #s(literal 1 binary64) (/.f64 z #s(approx (* (/ (cosh x) x) y) #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 (.f64 y #s(approx (cosh x) (fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64)))) (.f64 z x))
(/.f64 #s(approx (* (cosh x) (/ y x)) #s(approx (/ (+ (* x (* x (* y (+ (* x (* x 1/24)) 1/2)))) y) x) (fma.f64 (fma.f64 x (.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) (.f64 y x) (/.f64 y x)))) z)
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 x (.f64 x #s(approx ( y (+ (* x (* x 1/24)) 1/2)) (.f64 x (.f64 y (*.f64 x #s(literal 1/24 binary64)))))) y) x)) z)
(/.f64 (.f64 (/.f64 #s(approx (cosh x) (fma.f64 (.f64 x x) #s(approx (+ (* (* x x) 1/24) 1/2) (.f64 x (.f64 x #s(literal 1/24 binary64)))) #s(literal 1 binary64))) x) y) z)
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (/.f64 (fma.f64 (.f64 x y) (.f64 (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) x) y) z) x))
(.f64 y (/.f64 (/.f64 #s(approx (cosh x) (fma.f64 x (.f64 x (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64))) x) z))
(.f64 (/.f64 #s(approx (cosh x) (fma.f64 x (.f64 x (fma.f64 x (*.f64 x #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 (.f64 #s(approx (cosh x) (fma.f64 x (.f64 x (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64))) (/.f64 y 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 (/.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))) x) y) z)
(/.f64 (.f64 (/.f64 #s(approx (cosh x) (fma.f64 (.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))) x) y) z)
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (fma.f64 x (.f64 x #s(approx ( y (+ (* (* x x) (+ (* (* x x) 1/720) 1/24)) 1/2)) (.f64 y (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/720 binary64))))))) y) (.f64 x z)))
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (fma.f64 x (.f64 x (.f64 y (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)))) y) (*.f64 x z)))
(/.f64 (.f64 y #s(approx (cosh x) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(approx (+ ( (* x x) 1/720) 1/24) (.f64 x (.f64 x #s(literal 1/720 binary64)))) #s(literal 1/2 binary64)) #s(literal 1 binary64)))) (*.f64 z x))
#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)))
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (fma.f64 (.f64 x y) (.f64 (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) y) (*.f64 x z)))
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (fma.f64 (.f64 y (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) y) (*.f64 x z)))
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (fma.f64 (.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))) y y) (*.f64 x z)))
(.f64 (/.f64 #s(literal 1 binary64) 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 (.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)))) (*.f64 x z))
(/.f64 #s(approx (* (/ (cosh x) x) y) (/.f64 (fma.f64 (.f64 x x) #s(approx ( y (+ (* x (* x (+ (* x (* x 1/720)) 1/24))) 1/2)) (.f64 y (.f64 x (.f64 x (.f64 (*.f64 x x) #s(literal 1/720 binary64)))))) y) x)) z)
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (fma.f64 x (.f64 x (fma.f64 (.f64 y (.f64 x (fma.f64 x (.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64)))) x (.f64 y #s(literal 1/2 binary64)))) y) (.f64 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) (.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 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))) z) (/.f64 y x))
(/.f64 #s(approx (* (/ (cosh x) x) y) (/.f64 (fma.f64 (.f64 x x) (.f64 y (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))) y) x)) z)
(/.f64 #s(approx (* (/ (cosh x) x) y) (/.f64 (fma.f64 (.f64 x y) (.f64 (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) 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 (/.f64 #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) y) z)
(.f64 (/.f64 #s(literal 1 binary64) z) (.f64 (/.f64 y x) #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)))))
#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 z (/.f64 #s(literal 1 binary64) x))))
(/.f64 #s(approx (* (cosh x) (/ y x)) #s(approx (/ (+ (* x (* x (* y (+ (* x (* x 1/24)) 1/2)))) y) x) (/.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)) (.f64 x y)) (fma.f64 #s(literal 1/576 binary64) (.f64 (.f64 x x) (.f64 x x)) (-.f64 #s(literal 1/4 binary64) (.f64 (.f64 x x) #s(literal 1/48 binary64))))))) z)
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (fma.f64 x (/.f64 (.f64 (.f64 x y) (fma.f64 (.f64 x (.f64 x x)) (.f64 #s(literal 1/13824 binary64) (.f64 x (.f64 x x))) #s(literal 1/8 binary64))) (fma.f64 #s(literal 1/576 binary64) (.f64 (.f64 x x) (.f64 x x)) (-.f64 #s(literal 1/4 binary64) (.f64 (.f64 x x) #s(literal 1/48 binary64))))) y) (*.f64 x z)))
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (fma.f64 x (/.f64 (.f64 (.f64 x y) (fma.f64 (.f64 x x) (.f64 (.f64 x (fma.f64 x (.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) (.f64 x (fma.f64 x (.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64)))) #s(literal -1/4 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))) y) (*.f64 x z)))
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (/.f64 (.f64 (fma.f64 (.f64 x y) (.f64 (fma.f64 x (.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) x) y) (fma.f64 x (.f64 y (.f64 (fma.f64 x (.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) x)) (neg.f64 y))) (.f64 x z)) (fma.f64 x (.f64 y (.f64 (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) x)) (neg.f64 y))))
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (.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 (.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 y (/.f64 (cosh.f64 x) (.f64 x z)))
(/.f64 (.f64 (cosh.f64 x) y) (.f64 x z))
(/.f64 (.f64 #s(approx (cosh x) (fma.f64 (.f64 (.f64 x x) (fma.f64 (.f64 x x) (.f64 (.f64 x (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) (.f64 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 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 y x)) z)

Outputs

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

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

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

Calls

5 calls:

40.0ms	y
39.0ms	(/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z)
34.0ms	z
18.0ms	x
17.0ms	(*.f64 (cosh.f64 x) (/.f64 y x))

Results

Accuracy	Segments	Branch
94.5%	3	`z`
96.7%	3	`x`
90.8%	1	`(/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z)`
90.8%	1	`(*.f64 (cosh.f64 x) (/.f64 y x))`
94.7%	2	`y`

Compiler

Compiled 32 to 22 computations (31.3% saved)

regimes103.0ms (0.7%)

Memory

-5.4MiB live, 69.6MiB allocated

Counts

68 → 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)
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (/.f64 y z) x))
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 y x)) z)
(/.f64 #s(approx (* (/ (cosh x) x) y) (/.f64 y x)) z)
(.f64 (/.f64 #s(literal 1 binary64) z) #s(approx ( (/ (cosh x) x) y) #s(approx (+ (* y (* x 1/2)) (/ y x)) (.f64 x (.f64 y #s(literal 1/2 binary64))))))
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (/.f64 y x) (/.f64 #s(literal 1 binary64) z)))
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (/.f64 y z) (/.f64 #s(literal 1 binary64) x)))
(*.f64 (/.f64 #s(approx (cosh x) #s(literal 1 binary64)) x) (/.f64 y z))
(*.f64 (/.f64 #s(approx (cosh x) #s(literal 1 binary64)) z) (/.f64 y x))
(/.f64 (*.f64 (/.f64 #s(approx (cosh x) #s(literal 1 binary64)) x) y) z)
#s(approx (/ (* (cosh x) (/ y x)) z) #s(approx (/ (+ (* x (* x (* y (+ (* x (* x 1/24)) 1/2)))) y) (* x z)) (/.f64 (.f64 y (.f64 (.f64 (.f64 x x) #s(literal 1/24 binary64)) x)) z)))
(/.f64 #s(approx (* (cosh x) (/ y x)) #s(approx (/ (+ (* x (* x (* y (+ (* x (* x 1/24)) 1/2)))) y) x) (.f64 #s(literal 1/24 binary64) (.f64 y (.f64 x (.f64 x 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 (.f64 y (.f64 x x)) #s(literal 1/24 binary64))))) 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 #s(literal 1 binary64) (.f64 z (/.f64 x (.f64 y #s(approx (cosh 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 (.f64 y (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) x))) z)
(/.f64 #s(approx (* (cosh x) (/ y x)) #s(approx (/ (+ (* x (* x (* y (+ (* x (* x 1/24)) 1/2)))) y) x) (.f64 (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)) z) (/.f64 #s(literal 1 binary64) (/.f64 x (/.f64 y z))))
(/.f64 #s(approx (* (cosh x) (/ y x)) (*.f64 y (fma.f64 x #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))) 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) x) y) #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 (.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (.f64 x x) #s(literal 1 binary64))) (/.f64 y x)) z)
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 #s(approx (+ (* x (* x (* y (+ (* x (* x 1/24)) 1/2)))) y) (.f64 x (.f64 y (.f64 (.f64 (.f64 x x) #s(literal 1/24 binary64)) x)))) (.f64 x z)))
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (fma.f64 x (.f64 x #s(approx ( y (+ (* x (* x 1/24)) 1/2)) (.f64 y (.f64 (.f64 x x) #s(literal 1/24 binary64))))) y) (.f64 x z)))
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 #s(approx (+ (* x (* x (* y (+ (* (* x x) (+ (* (* x x) 1/720) 1/24)) 1/2)))) y) (fma.f64 (.f64 y (.f64 x x)) (fma.f64 (.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) y)) (.f64 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)))
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (fma.f64 (.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) y y) (.f64 x z)))
(/.f64 #s(literal 1 binary64) (/.f64 z #s(approx (* (/ (cosh x) x) y) #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 (.f64 y #s(approx (cosh x) (fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64)))) (.f64 z x))
(/.f64 #s(approx (* (cosh x) (/ y x)) #s(approx (/ (+ (* x (* x (* y (+ (* x (* x 1/24)) 1/2)))) y) x) (fma.f64 (fma.f64 x (.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) (.f64 y x) (/.f64 y x)))) z)
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 x (.f64 x #s(approx ( y (+ (* x (* x 1/24)) 1/2)) (.f64 x (.f64 y (*.f64 x #s(literal 1/24 binary64)))))) y) x)) z)
(/.f64 (.f64 (/.f64 #s(approx (cosh x) (fma.f64 (.f64 x x) #s(approx (+ (* (* x x) 1/24) 1/2) (.f64 x (.f64 x #s(literal 1/24 binary64)))) #s(literal 1 binary64))) x) y) z)
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (/.f64 (fma.f64 (.f64 x y) (.f64 (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) x) y) z) x))
(.f64 y (/.f64 (/.f64 #s(approx (cosh x) (fma.f64 x (.f64 x (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64))) x) z))
(.f64 (/.f64 #s(approx (cosh x) (fma.f64 x (.f64 x (fma.f64 x (*.f64 x #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 (.f64 #s(approx (cosh x) (fma.f64 x (.f64 x (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64))) (/.f64 y 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 (/.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))) x) y) z)
(/.f64 (.f64 (/.f64 #s(approx (cosh x) (fma.f64 (.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))) x) y) z)
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (fma.f64 x (.f64 x #s(approx ( y (+ (* (* x x) (+ (* (* x x) 1/720) 1/24)) 1/2)) (.f64 y (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/720 binary64))))))) y) (.f64 x z)))
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (fma.f64 x (.f64 x (.f64 y (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)))) y) (*.f64 x z)))
(/.f64 (.f64 y #s(approx (cosh x) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(approx (+ ( (* x x) 1/720) 1/24) (.f64 x (.f64 x #s(literal 1/720 binary64)))) #s(literal 1/2 binary64)) #s(literal 1 binary64)))) (*.f64 z x))
#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)))
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (fma.f64 (.f64 x y) (.f64 (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) y) (*.f64 x z)))
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (fma.f64 (.f64 y (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) y) (*.f64 x z)))
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (fma.f64 (.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))) y y) (*.f64 x z)))
(.f64 (/.f64 #s(literal 1 binary64) 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 (.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)))) (*.f64 x z))
(/.f64 #s(approx (* (/ (cosh x) x) y) (/.f64 (fma.f64 (.f64 x x) #s(approx ( y (+ (* x (* x (+ (* x (* x 1/720)) 1/24))) 1/2)) (.f64 y (.f64 x (.f64 x (.f64 (*.f64 x x) #s(literal 1/720 binary64)))))) y) x)) z)
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (fma.f64 x (.f64 x (fma.f64 (.f64 y (.f64 x (fma.f64 x (.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64)))) x (.f64 y #s(literal 1/2 binary64)))) y) (.f64 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) (.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 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))) z) (/.f64 y x))
(/.f64 #s(approx (* (/ (cosh x) x) y) (/.f64 (fma.f64 (.f64 x x) (.f64 y (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))) y) x)) z)
(/.f64 #s(approx (* (/ (cosh x) x) y) (/.f64 (fma.f64 (.f64 x y) (.f64 (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) 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 (/.f64 #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) y) z)
(.f64 (/.f64 #s(literal 1 binary64) z) (.f64 (/.f64 y x) #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)))))
#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 z (/.f64 #s(literal 1 binary64) x))))
(/.f64 #s(approx (* (cosh x) (/ y x)) #s(approx (/ (+ (* x (* x (* y (+ (* x (* x 1/24)) 1/2)))) y) x) (/.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)) (.f64 x y)) (fma.f64 #s(literal 1/576 binary64) (.f64 (.f64 x x) (.f64 x x)) (-.f64 #s(literal 1/4 binary64) (.f64 (.f64 x x) #s(literal 1/48 binary64))))))) z)
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (fma.f64 x (/.f64 (.f64 (.f64 x y) (fma.f64 (.f64 x (.f64 x x)) (.f64 #s(literal 1/13824 binary64) (.f64 x (.f64 x x))) #s(literal 1/8 binary64))) (fma.f64 #s(literal 1/576 binary64) (.f64 (.f64 x x) (.f64 x x)) (-.f64 #s(literal 1/4 binary64) (.f64 (.f64 x x) #s(literal 1/48 binary64))))) y) (*.f64 x z)))
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (fma.f64 x (/.f64 (.f64 (.f64 x y) (fma.f64 (.f64 x x) (.f64 (.f64 x (fma.f64 x (.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) (.f64 x (fma.f64 x (.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64)))) #s(literal -1/4 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))) y) (*.f64 x z)))
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (/.f64 (.f64 (fma.f64 (.f64 x y) (.f64 (fma.f64 x (.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) x) y) (fma.f64 x (.f64 y (.f64 (fma.f64 x (.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) x)) (neg.f64 y))) (.f64 x z)) (fma.f64 x (.f64 y (.f64 (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) x)) (neg.f64 y))))
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (.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 (.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 y (/.f64 (cosh.f64 x) (.f64 x z)))

Outputs

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

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

Calls

2 calls:

59.0ms	y
41.0ms	x

Results

Accuracy	Segments	Branch
94.7%	2	`y`
96.1%	3	`x`

Compiler

Compiled 8 to 6 computations (25% saved)

regimes88.0ms (0.6%)

Memory

-34.1MiB live, 62.4MiB allocated

Counts

59 → 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)
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (/.f64 y z) x))
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 y x)) z)
(/.f64 #s(approx (* (/ (cosh x) x) y) (/.f64 y x)) z)
(.f64 (/.f64 #s(literal 1 binary64) z) #s(approx ( (/ (cosh x) x) y) #s(approx (+ (* y (* x 1/2)) (/ y x)) (.f64 x (.f64 y #s(literal 1/2 binary64))))))
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (/.f64 y x) (/.f64 #s(literal 1 binary64) z)))
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (/.f64 y z) (/.f64 #s(literal 1 binary64) x)))
(*.f64 (/.f64 #s(approx (cosh x) #s(literal 1 binary64)) x) (/.f64 y z))
(*.f64 (/.f64 #s(approx (cosh x) #s(literal 1 binary64)) z) (/.f64 y x))
(/.f64 (*.f64 (/.f64 #s(approx (cosh x) #s(literal 1 binary64)) x) y) z)
#s(approx (/ (* (cosh x) (/ y x)) z) #s(approx (/ (+ (* x (* x (* y (+ (* x (* x 1/24)) 1/2)))) y) (* x z)) (/.f64 (.f64 y (.f64 (.f64 (.f64 x x) #s(literal 1/24 binary64)) x)) z)))
(/.f64 #s(approx (* (cosh x) (/ y x)) #s(approx (/ (+ (* x (* x (* y (+ (* x (* x 1/24)) 1/2)))) y) x) (.f64 #s(literal 1/24 binary64) (.f64 y (.f64 x (.f64 x 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 (.f64 y (.f64 x x)) #s(literal 1/24 binary64))))) 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 #s(literal 1 binary64) (.f64 z (/.f64 x (.f64 y #s(approx (cosh 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 (.f64 y (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) x))) z)
(/.f64 #s(approx (* (cosh x) (/ y x)) #s(approx (/ (+ (* x (* x (* y (+ (* x (* x 1/24)) 1/2)))) y) x) (.f64 (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)) z) (/.f64 #s(literal 1 binary64) (/.f64 x (/.f64 y z))))
(/.f64 #s(approx (* (cosh x) (/ y x)) (*.f64 y (fma.f64 x #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))) 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) x) y) #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 (.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (.f64 x x) #s(literal 1 binary64))) (/.f64 y x)) z)
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 #s(approx (+ (* x (* x (* y (+ (* x (* x 1/24)) 1/2)))) y) (.f64 x (.f64 y (.f64 (.f64 (.f64 x x) #s(literal 1/24 binary64)) x)))) (.f64 x z)))
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (fma.f64 x (.f64 x #s(approx ( y (+ (* x (* x 1/24)) 1/2)) (.f64 y (.f64 (.f64 x x) #s(literal 1/24 binary64))))) y) (.f64 x z)))
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 #s(approx (+ (* x (* x (* y (+ (* (* x x) (+ (* (* x x) 1/720) 1/24)) 1/2)))) y) (fma.f64 (.f64 y (.f64 x x)) (fma.f64 (.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) y)) (.f64 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)))
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (fma.f64 (.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) y y) (.f64 x z)))
(/.f64 #s(literal 1 binary64) (/.f64 z #s(approx (* (/ (cosh x) x) y) #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 (.f64 y #s(approx (cosh x) (fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64)))) (.f64 z x))
(/.f64 #s(approx (* (cosh x) (/ y x)) #s(approx (/ (+ (* x (* x (* y (+ (* x (* x 1/24)) 1/2)))) y) x) (fma.f64 (fma.f64 x (.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) (.f64 y x) (/.f64 y x)))) z)
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 x (.f64 x #s(approx ( y (+ (* x (* x 1/24)) 1/2)) (.f64 x (.f64 y (*.f64 x #s(literal 1/24 binary64)))))) y) x)) z)
(/.f64 (.f64 (/.f64 #s(approx (cosh x) (fma.f64 (.f64 x x) #s(approx (+ (* (* x x) 1/24) 1/2) (.f64 x (.f64 x #s(literal 1/24 binary64)))) #s(literal 1 binary64))) x) y) z)
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (/.f64 (fma.f64 (.f64 x y) (.f64 (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) x) y) z) x))
(.f64 y (/.f64 (/.f64 #s(approx (cosh x) (fma.f64 x (.f64 x (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64))) x) z))
(.f64 (/.f64 #s(approx (cosh x) (fma.f64 x (.f64 x (fma.f64 x (*.f64 x #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 (.f64 #s(approx (cosh x) (fma.f64 x (.f64 x (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64))) (/.f64 y 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 (/.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))) x) y) z)
(/.f64 (.f64 (/.f64 #s(approx (cosh x) (fma.f64 (.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))) x) y) z)
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (fma.f64 x (.f64 x #s(approx ( y (+ (* (* x x) (+ (* (* x x) 1/720) 1/24)) 1/2)) (.f64 y (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/720 binary64))))))) y) (.f64 x z)))
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (fma.f64 x (.f64 x (.f64 y (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)))) y) (*.f64 x z)))
(/.f64 (.f64 y #s(approx (cosh x) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(approx (+ ( (* x x) 1/720) 1/24) (.f64 x (.f64 x #s(literal 1/720 binary64)))) #s(literal 1/2 binary64)) #s(literal 1 binary64)))) (*.f64 z x))
#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)))
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (fma.f64 (.f64 x y) (.f64 (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) y) (*.f64 x z)))
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (fma.f64 (.f64 y (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) y) (*.f64 x z)))
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (fma.f64 (.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))) y y) (*.f64 x z)))
(.f64 (/.f64 #s(literal 1 binary64) 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 (.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)))) (*.f64 x z))
(/.f64 #s(approx (* (/ (cosh x) x) y) (/.f64 (fma.f64 (.f64 x x) #s(approx ( y (+ (* x (* x (+ (* x (* x 1/720)) 1/24))) 1/2)) (.f64 y (.f64 x (.f64 x (.f64 (*.f64 x x) #s(literal 1/720 binary64)))))) y) x)) z)
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (fma.f64 x (.f64 x (fma.f64 (.f64 y (.f64 x (fma.f64 x (.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64)))) x (.f64 y #s(literal 1/2 binary64)))) y) (.f64 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) (.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 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))) z) (/.f64 y x))
(/.f64 #s(approx (* (/ (cosh x) x) y) (/.f64 (fma.f64 (.f64 x x) (.f64 y (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))) y) x)) z)
(/.f64 #s(approx (* (/ (cosh x) x) y) (/.f64 (fma.f64 (.f64 x y) (.f64 (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) 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)

Outputs

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

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

Calls

2 calls:

54.0ms	y
31.0ms	x

Results

Accuracy	Segments	Branch
93.4%	3	`x`
94.0%	2	`y`

Compiler

Compiled 8 to 6 computations (25% saved)

regimes18.0ms (0.1%)

Memory

32.2MiB live, 32.2MiB 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)
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (/.f64 y z) x))
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 y x)) z)
(/.f64 #s(approx (* (/ (cosh x) x) y) (/.f64 y x)) z)
(.f64 (/.f64 #s(literal 1 binary64) z) #s(approx ( (/ (cosh x) x) y) #s(approx (+ (* y (* x 1/2)) (/ y x)) (.f64 x (.f64 y #s(literal 1/2 binary64))))))
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (/.f64 y x) (/.f64 #s(literal 1 binary64) z)))
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (/.f64 y z) (/.f64 #s(literal 1 binary64) x)))
(*.f64 (/.f64 #s(approx (cosh x) #s(literal 1 binary64)) x) (/.f64 y z))
(*.f64 (/.f64 #s(approx (cosh x) #s(literal 1 binary64)) z) (/.f64 y x))
(/.f64 (*.f64 (/.f64 #s(approx (cosh x) #s(literal 1 binary64)) x) y) z)
#s(approx (/ (* (cosh x) (/ y x)) z) #s(approx (/ (+ (* x (* x (* y (+ (* x (* x 1/24)) 1/2)))) y) (* x z)) (/.f64 (.f64 y (.f64 (.f64 (.f64 x x) #s(literal 1/24 binary64)) x)) z)))
(/.f64 #s(approx (* (cosh x) (/ y x)) #s(approx (/ (+ (* x (* x (* y (+ (* x (* x 1/24)) 1/2)))) y) x) (.f64 #s(literal 1/24 binary64) (.f64 y (.f64 x (.f64 x 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 (.f64 y (.f64 x x)) #s(literal 1/24 binary64))))) 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 #s(literal 1 binary64) (.f64 z (/.f64 x (.f64 y #s(approx (cosh 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 (.f64 y (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) x))) z)
(/.f64 #s(approx (* (cosh x) (/ y x)) #s(approx (/ (+ (* x (* x (* y (+ (* x (* x 1/24)) 1/2)))) y) x) (.f64 (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)) z) (/.f64 #s(literal 1 binary64) (/.f64 x (/.f64 y z))))
(/.f64 #s(approx (* (cosh x) (/ y x)) (*.f64 y (fma.f64 x #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))) 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) x) y) #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 (.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (.f64 x x) #s(literal 1 binary64))) (/.f64 y x)) z)
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 #s(approx (+ (* x (* x (* y (+ (* x (* x 1/24)) 1/2)))) y) (.f64 x (.f64 y (.f64 (.f64 (.f64 x x) #s(literal 1/24 binary64)) x)))) (.f64 x z)))
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (fma.f64 x (.f64 x #s(approx ( y (+ (* x (* x 1/24)) 1/2)) (.f64 y (.f64 (.f64 x x) #s(literal 1/24 binary64))))) y) (.f64 x z)))
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 #s(approx (+ (* x (* x (* y (+ (* (* x x) (+ (* (* x x) 1/720) 1/24)) 1/2)))) y) (fma.f64 (.f64 y (.f64 x x)) (fma.f64 (.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) y)) (.f64 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)))
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (fma.f64 (.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) y y) (.f64 x z)))
(/.f64 #s(literal 1 binary64) (/.f64 z #s(approx (* (/ (cosh x) x) y) #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 (.f64 y #s(approx (cosh x) (fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64)))) (.f64 z x))
(/.f64 #s(approx (* (cosh x) (/ y x)) #s(approx (/ (+ (* x (* x (* y (+ (* x (* x 1/24)) 1/2)))) y) x) (fma.f64 (fma.f64 x (.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) (.f64 y x) (/.f64 y x)))) z)
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 x (.f64 x #s(approx ( y (+ (* x (* x 1/24)) 1/2)) (.f64 x (.f64 y (*.f64 x #s(literal 1/24 binary64)))))) y) x)) z)
(/.f64 (.f64 (/.f64 #s(approx (cosh x) (fma.f64 (.f64 x x) #s(approx (+ (* (* x x) 1/24) 1/2) (.f64 x (.f64 x #s(literal 1/24 binary64)))) #s(literal 1 binary64))) x) y) z)
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (/.f64 (fma.f64 (.f64 x y) (.f64 (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) x) y) z) x))
(.f64 y (/.f64 (/.f64 #s(approx (cosh x) (fma.f64 x (.f64 x (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64))) x) z))
(.f64 (/.f64 #s(approx (cosh x) (fma.f64 x (.f64 x (fma.f64 x (*.f64 x #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 (.f64 #s(approx (cosh x) (fma.f64 x (.f64 x (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64))) (/.f64 y 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 (/.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))) x) y) z)
(/.f64 (.f64 (/.f64 #s(approx (cosh x) (fma.f64 (.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))) x) y) z)
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (fma.f64 x (.f64 x #s(approx ( y (+ (* (* x x) (+ (* (* x x) 1/720) 1/24)) 1/2)) (.f64 y (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/720 binary64))))))) y) (.f64 x z)))
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (fma.f64 x (.f64 x (.f64 y (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)))) y) (*.f64 x z)))
(/.f64 (.f64 y #s(approx (cosh x) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(approx (+ ( (* x x) 1/720) 1/24) (.f64 x (.f64 x #s(literal 1/720 binary64)))) #s(literal 1/2 binary64)) #s(literal 1 binary64)))) (*.f64 z x))
#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)))
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (fma.f64 (.f64 x y) (.f64 (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) y) (*.f64 x z)))
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (fma.f64 (.f64 y (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) y) (*.f64 x z)))
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (fma.f64 (.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))) y y) (*.f64 x z)))
(.f64 (/.f64 #s(literal 1 binary64) 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 (.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)))) (*.f64 x z))
(/.f64 #s(approx (* (/ (cosh x) x) y) (/.f64 (fma.f64 (.f64 x x) #s(approx ( y (+ (* x (* x (+ (* x (* x 1/720)) 1/24))) 1/2)) (.f64 y (.f64 x (.f64 x (.f64 (*.f64 x x) #s(literal 1/720 binary64)))))) y) x)) z)
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (fma.f64 x (.f64 x (fma.f64 (.f64 y (.f64 x (fma.f64 x (.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64)))) x (.f64 y #s(literal 1/2 binary64)))) y) (.f64 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) (.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 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))) z) (/.f64 y x))
(/.f64 #s(approx (* (/ (cosh x) x) y) (/.f64 (fma.f64 (.f64 x x) (.f64 y (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))) y) x)) z)

Outputs

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

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

Calls

1 calls:

15.0ms

Results

Accuracy	Segments	Branch
93.2%	2	`y`

Compiler

Compiled 4 to 3 computations (25% saved)

regimes116.0ms (0.8%)

Memory

-10.4MiB live, 64.9MiB allocated

Counts

56 → 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)
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (/.f64 y z) x))
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 y x)) z)
(/.f64 #s(approx (* (/ (cosh x) x) y) (/.f64 y x)) z)
(.f64 (/.f64 #s(literal 1 binary64) z) #s(approx ( (/ (cosh x) x) y) #s(approx (+ (* y (* x 1/2)) (/ y x)) (.f64 x (.f64 y #s(literal 1/2 binary64))))))
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (/.f64 y x) (/.f64 #s(literal 1 binary64) z)))
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (/.f64 y z) (/.f64 #s(literal 1 binary64) x)))
(*.f64 (/.f64 #s(approx (cosh x) #s(literal 1 binary64)) x) (/.f64 y z))
(*.f64 (/.f64 #s(approx (cosh x) #s(literal 1 binary64)) z) (/.f64 y x))
(/.f64 (*.f64 (/.f64 #s(approx (cosh x) #s(literal 1 binary64)) x) y) z)
#s(approx (/ (* (cosh x) (/ y x)) z) #s(approx (/ (+ (* x (* x (* y (+ (* x (* x 1/24)) 1/2)))) y) (* x z)) (/.f64 (.f64 y (.f64 (.f64 (.f64 x x) #s(literal 1/24 binary64)) x)) z)))
(/.f64 #s(approx (* (cosh x) (/ y x)) #s(approx (/ (+ (* x (* x (* y (+ (* x (* x 1/24)) 1/2)))) y) x) (.f64 #s(literal 1/24 binary64) (.f64 y (.f64 x (.f64 x 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 (.f64 y (.f64 x x)) #s(literal 1/24 binary64))))) 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 #s(literal 1 binary64) (.f64 z (/.f64 x (.f64 y #s(approx (cosh 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 (.f64 y (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) x))) z)
(/.f64 #s(approx (* (cosh x) (/ y x)) #s(approx (/ (+ (* x (* x (* y (+ (* x (* x 1/24)) 1/2)))) y) x) (.f64 (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)) z) (/.f64 #s(literal 1 binary64) (/.f64 x (/.f64 y z))))
(/.f64 #s(approx (* (cosh x) (/ y x)) (*.f64 y (fma.f64 x #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))) 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) x) y) #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 (.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (.f64 x x) #s(literal 1 binary64))) (/.f64 y x)) z)
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 #s(approx (+ (* x (* x (* y (+ (* x (* x 1/24)) 1/2)))) y) (.f64 x (.f64 y (.f64 (.f64 (.f64 x x) #s(literal 1/24 binary64)) x)))) (.f64 x z)))
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (fma.f64 x (.f64 x #s(approx ( y (+ (* x (* x 1/24)) 1/2)) (.f64 y (.f64 (.f64 x x) #s(literal 1/24 binary64))))) y) (.f64 x z)))
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 #s(approx (+ (* x (* x (* y (+ (* (* x x) (+ (* (* x x) 1/720) 1/24)) 1/2)))) y) (fma.f64 (.f64 y (.f64 x x)) (fma.f64 (.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) y)) (.f64 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)))
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (fma.f64 (.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) y y) (.f64 x z)))
(/.f64 #s(literal 1 binary64) (/.f64 z #s(approx (* (/ (cosh x) x) y) #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 (.f64 y #s(approx (cosh x) (fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64)))) (.f64 z x))
(/.f64 #s(approx (* (cosh x) (/ y x)) #s(approx (/ (+ (* x (* x (* y (+ (* x (* x 1/24)) 1/2)))) y) x) (fma.f64 (fma.f64 x (.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) (.f64 y x) (/.f64 y x)))) z)
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 x (.f64 x #s(approx ( y (+ (* x (* x 1/24)) 1/2)) (.f64 x (.f64 y (*.f64 x #s(literal 1/24 binary64)))))) y) x)) z)
(/.f64 (.f64 (/.f64 #s(approx (cosh x) (fma.f64 (.f64 x x) #s(approx (+ (* (* x x) 1/24) 1/2) (.f64 x (.f64 x #s(literal 1/24 binary64)))) #s(literal 1 binary64))) x) y) z)
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (/.f64 (fma.f64 (.f64 x y) (.f64 (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) x) y) z) x))
(.f64 y (/.f64 (/.f64 #s(approx (cosh x) (fma.f64 x (.f64 x (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64))) x) z))
(.f64 (/.f64 #s(approx (cosh x) (fma.f64 x (.f64 x (fma.f64 x (*.f64 x #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 (.f64 #s(approx (cosh x) (fma.f64 x (.f64 x (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64))) (/.f64 y 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 (/.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))) x) y) z)
(/.f64 (.f64 (/.f64 #s(approx (cosh x) (fma.f64 (.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))) x) y) z)
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (fma.f64 x (.f64 x #s(approx ( y (+ (* (* x x) (+ (* (* x x) 1/720) 1/24)) 1/2)) (.f64 y (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/720 binary64))))))) y) (.f64 x z)))
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (fma.f64 x (.f64 x (.f64 y (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)))) y) (*.f64 x z)))
(/.f64 (.f64 y #s(approx (cosh x) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(approx (+ ( (* x x) 1/720) 1/24) (.f64 x (.f64 x #s(literal 1/720 binary64)))) #s(literal 1/2 binary64)) #s(literal 1 binary64)))) (*.f64 z x))
#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)))
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (fma.f64 (.f64 x y) (.f64 (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) y) (*.f64 x z)))
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (fma.f64 (.f64 y (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) y) (*.f64 x z)))
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (fma.f64 (.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))) y y) (*.f64 x z)))
(.f64 (/.f64 #s(literal 1 binary64) 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 (.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)))) (*.f64 x z))
(/.f64 #s(approx (* (/ (cosh x) x) y) (/.f64 (fma.f64 (.f64 x x) #s(approx ( y (+ (* x (* x (+ (* x (* x 1/720)) 1/24))) 1/2)) (.f64 y (.f64 x (.f64 x (.f64 (*.f64 x x) #s(literal 1/720 binary64)))))) y) x)) z)
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (fma.f64 x (.f64 x (fma.f64 (.f64 y (.f64 x (fma.f64 x (.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64)))) x (.f64 y #s(literal 1/2 binary64)))) y) (.f64 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) (.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 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))) z) (/.f64 y x))

Outputs

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

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

Calls

2 calls:

58.0ms	y
55.0ms	z

Results

Accuracy	Segments	Branch
91.6%	2	`z`
92.9%	2	`y`

Compiler

Compiled 8 to 6 computations (25% saved)

regimes96.0ms (0.7%)

Memory

-19.6MiB live, 62.5MiB allocated

Counts

52 → 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)
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (/.f64 y z) x))
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 y x)) z)
(/.f64 #s(approx (* (/ (cosh x) x) y) (/.f64 y x)) z)
(.f64 (/.f64 #s(literal 1 binary64) z) #s(approx ( (/ (cosh x) x) y) #s(approx (+ (* y (* x 1/2)) (/ y x)) (.f64 x (.f64 y #s(literal 1/2 binary64))))))
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (/.f64 y x) (/.f64 #s(literal 1 binary64) z)))
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (/.f64 y z) (/.f64 #s(literal 1 binary64) x)))
(*.f64 (/.f64 #s(approx (cosh x) #s(literal 1 binary64)) x) (/.f64 y z))
(*.f64 (/.f64 #s(approx (cosh x) #s(literal 1 binary64)) z) (/.f64 y x))
(/.f64 (*.f64 (/.f64 #s(approx (cosh x) #s(literal 1 binary64)) x) y) z)
#s(approx (/ (* (cosh x) (/ y x)) z) #s(approx (/ (+ (* x (* x (* y (+ (* x (* x 1/24)) 1/2)))) y) (* x z)) (/.f64 (.f64 y (.f64 (.f64 (.f64 x x) #s(literal 1/24 binary64)) x)) z)))
(/.f64 #s(approx (* (cosh x) (/ y x)) #s(approx (/ (+ (* x (* x (* y (+ (* x (* x 1/24)) 1/2)))) y) x) (.f64 #s(literal 1/24 binary64) (.f64 y (.f64 x (.f64 x 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 (.f64 y (.f64 x x)) #s(literal 1/24 binary64))))) 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 #s(literal 1 binary64) (.f64 z (/.f64 x (.f64 y #s(approx (cosh 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 (.f64 y (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) x))) z)
(/.f64 #s(approx (* (cosh x) (/ y x)) #s(approx (/ (+ (* x (* x (* y (+ (* x (* x 1/24)) 1/2)))) y) x) (.f64 (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)) z) (/.f64 #s(literal 1 binary64) (/.f64 x (/.f64 y z))))
(/.f64 #s(approx (* (cosh x) (/ y x)) (*.f64 y (fma.f64 x #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))) 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) x) y) #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 (.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (.f64 x x) #s(literal 1 binary64))) (/.f64 y x)) z)
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 #s(approx (+ (* x (* x (* y (+ (* x (* x 1/24)) 1/2)))) y) (.f64 x (.f64 y (.f64 (.f64 (.f64 x x) #s(literal 1/24 binary64)) x)))) (.f64 x z)))
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (fma.f64 x (.f64 x #s(approx ( y (+ (* x (* x 1/24)) 1/2)) (.f64 y (.f64 (.f64 x x) #s(literal 1/24 binary64))))) y) (.f64 x z)))
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 #s(approx (+ (* x (* x (* y (+ (* (* x x) (+ (* (* x x) 1/720) 1/24)) 1/2)))) y) (fma.f64 (.f64 y (.f64 x x)) (fma.f64 (.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) y)) (.f64 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)))
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (fma.f64 (.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) y y) (.f64 x z)))
(/.f64 #s(literal 1 binary64) (/.f64 z #s(approx (* (/ (cosh x) x) y) #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 (.f64 y #s(approx (cosh x) (fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64)))) (.f64 z x))
(/.f64 #s(approx (* (cosh x) (/ y x)) #s(approx (/ (+ (* x (* x (* y (+ (* x (* x 1/24)) 1/2)))) y) x) (fma.f64 (fma.f64 x (.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) (.f64 y x) (/.f64 y x)))) z)
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 x (.f64 x #s(approx ( y (+ (* x (* x 1/24)) 1/2)) (.f64 x (.f64 y (*.f64 x #s(literal 1/24 binary64)))))) y) x)) z)
(/.f64 (.f64 (/.f64 #s(approx (cosh x) (fma.f64 (.f64 x x) #s(approx (+ (* (* x x) 1/24) 1/2) (.f64 x (.f64 x #s(literal 1/24 binary64)))) #s(literal 1 binary64))) x) y) z)
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (/.f64 (fma.f64 (.f64 x y) (.f64 (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) x) y) z) x))
(.f64 y (/.f64 (/.f64 #s(approx (cosh x) (fma.f64 x (.f64 x (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64))) x) z))
(.f64 (/.f64 #s(approx (cosh x) (fma.f64 x (.f64 x (fma.f64 x (*.f64 x #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 (.f64 #s(approx (cosh x) (fma.f64 x (.f64 x (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64))) (/.f64 y 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 (/.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))) x) y) z)
(/.f64 (.f64 (/.f64 #s(approx (cosh x) (fma.f64 (.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))) x) y) z)
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (fma.f64 x (.f64 x #s(approx ( y (+ (* (* x x) (+ (* (* x x) 1/720) 1/24)) 1/2)) (.f64 y (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/720 binary64))))))) y) (.f64 x z)))
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (fma.f64 x (.f64 x (.f64 y (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)))) y) (*.f64 x z)))
(/.f64 (.f64 y #s(approx (cosh x) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(approx (+ ( (* x x) 1/720) 1/24) (.f64 x (.f64 x #s(literal 1/720 binary64)))) #s(literal 1/2 binary64)) #s(literal 1 binary64)))) (*.f64 z x))
#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)))
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (fma.f64 (.f64 x y) (.f64 (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) y) (*.f64 x z)))
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (fma.f64 (.f64 y (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) y) (*.f64 x z)))
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (fma.f64 (.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))) y y) (*.f64 x z)))
(.f64 (/.f64 #s(literal 1 binary64) 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 (.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)))) (*.f64 x z))

Outputs

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

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

Calls

3 calls:

41.0ms	(/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z)
40.0ms	y
13.0ms	(*.f64 (cosh.f64 x) (/.f64 y x))

Results

Accuracy	Segments	Branch
91.7%	2	`(/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z)`
91.7%	2	`(*.f64 (cosh.f64 x) (/.f64 y x))`
92.4%	2	`y`

Compiler

Compiled 24 to 16 computations (33.3% saved)

regimes14.0ms (0.1%)

Memory

24.2MiB live, 24.2MiB allocated

Counts

41 → 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)
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (/.f64 y z) x))
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 y x)) z)
(/.f64 #s(approx (* (/ (cosh x) x) y) (/.f64 y x)) z)
(.f64 (/.f64 #s(literal 1 binary64) z) #s(approx ( (/ (cosh x) x) y) #s(approx (+ (* y (* x 1/2)) (/ y x)) (.f64 x (.f64 y #s(literal 1/2 binary64))))))
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (/.f64 y x) (/.f64 #s(literal 1 binary64) z)))
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (/.f64 y z) (/.f64 #s(literal 1 binary64) x)))
(*.f64 (/.f64 #s(approx (cosh x) #s(literal 1 binary64)) x) (/.f64 y z))
(*.f64 (/.f64 #s(approx (cosh x) #s(literal 1 binary64)) z) (/.f64 y x))
(/.f64 (*.f64 (/.f64 #s(approx (cosh x) #s(literal 1 binary64)) x) y) z)
#s(approx (/ (* (cosh x) (/ y x)) z) #s(approx (/ (+ (* x (* x (* y (+ (* x (* x 1/24)) 1/2)))) y) (* x z)) (/.f64 (.f64 y (.f64 (.f64 (.f64 x x) #s(literal 1/24 binary64)) x)) z)))
(/.f64 #s(approx (* (cosh x) (/ y x)) #s(approx (/ (+ (* x (* x (* y (+ (* x (* x 1/24)) 1/2)))) y) x) (.f64 #s(literal 1/24 binary64) (.f64 y (.f64 x (.f64 x 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 (.f64 y (.f64 x x)) #s(literal 1/24 binary64))))) 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 #s(literal 1 binary64) (.f64 z (/.f64 x (.f64 y #s(approx (cosh 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 (.f64 y (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) x))) z)
(/.f64 #s(approx (* (cosh x) (/ y x)) #s(approx (/ (+ (* x (* x (* y (+ (* x (* x 1/24)) 1/2)))) y) x) (.f64 (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)) z) (/.f64 #s(literal 1 binary64) (/.f64 x (/.f64 y z))))
(/.f64 #s(approx (* (cosh x) (/ y x)) (*.f64 y (fma.f64 x #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))) 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) x) y) #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 (.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (.f64 x x) #s(literal 1 binary64))) (/.f64 y x)) z)
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 #s(approx (+ (* x (* x (* y (+ (* x (* x 1/24)) 1/2)))) y) (.f64 x (.f64 y (.f64 (.f64 (.f64 x x) #s(literal 1/24 binary64)) x)))) (.f64 x z)))
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (fma.f64 x (.f64 x #s(approx ( y (+ (* x (* x 1/24)) 1/2)) (.f64 y (.f64 (.f64 x x) #s(literal 1/24 binary64))))) y) (.f64 x z)))
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 #s(approx (+ (* x (* x (* y (+ (* (* x x) (+ (* (* x x) 1/720) 1/24)) 1/2)))) y) (fma.f64 (.f64 y (.f64 x x)) (fma.f64 (.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) y)) (.f64 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)))
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (fma.f64 (.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) y y) (.f64 x z)))
(/.f64 #s(literal 1 binary64) (/.f64 z #s(approx (* (/ (cosh x) x) y) #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 (.f64 y #s(approx (cosh x) (fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64)))) (.f64 z x))
(/.f64 #s(approx (* (cosh x) (/ y x)) #s(approx (/ (+ (* x (* x (* y (+ (* x (* x 1/24)) 1/2)))) y) x) (fma.f64 (fma.f64 x (.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) (.f64 y x) (/.f64 y x)))) z)
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 x (.f64 x #s(approx ( y (+ (* x (* x 1/24)) 1/2)) (.f64 x (.f64 y (*.f64 x #s(literal 1/24 binary64)))))) y) x)) z)
(/.f64 (.f64 (/.f64 #s(approx (cosh x) (fma.f64 (.f64 x x) #s(approx (+ (* (* x x) 1/24) 1/2) (.f64 x (.f64 x #s(literal 1/24 binary64)))) #s(literal 1 binary64))) x) y) z)
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (/.f64 (fma.f64 (.f64 x y) (.f64 (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) x) y) z) x))
(.f64 y (/.f64 (/.f64 #s(approx (cosh x) (fma.f64 x (.f64 x (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64))) x) z))
(.f64 (/.f64 #s(approx (cosh x) (fma.f64 x (.f64 x (fma.f64 x (*.f64 x #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 (.f64 #s(approx (cosh x) (fma.f64 x (.f64 x (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64))) (/.f64 y 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)

Outputs

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

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

Calls

1 calls:

11.0ms

Results

Accuracy	Segments	Branch
92.3%	2	`y`

Compiler

Compiled 4 to 3 computations (25% saved)

regimes60.0ms (0.4%)

Memory

7.5MiB live, 129.1MiB allocated

Counts

34 → 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)
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (/.f64 y z) x))
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 y x)) z)
(/.f64 #s(approx (* (/ (cosh x) x) y) (/.f64 y x)) z)
(.f64 (/.f64 #s(literal 1 binary64) z) #s(approx ( (/ (cosh x) x) y) #s(approx (+ (* y (* x 1/2)) (/ y x)) (.f64 x (.f64 y #s(literal 1/2 binary64))))))
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (/.f64 y x) (/.f64 #s(literal 1 binary64) z)))
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (/.f64 y z) (/.f64 #s(literal 1 binary64) x)))
(*.f64 (/.f64 #s(approx (cosh x) #s(literal 1 binary64)) x) (/.f64 y z))
(*.f64 (/.f64 #s(approx (cosh x) #s(literal 1 binary64)) z) (/.f64 y x))
(/.f64 (*.f64 (/.f64 #s(approx (cosh x) #s(literal 1 binary64)) x) y) z)
#s(approx (/ (* (cosh x) (/ y x)) z) #s(approx (/ (+ (* x (* x (* y (+ (* x (* x 1/24)) 1/2)))) y) (* x z)) (/.f64 (.f64 y (.f64 (.f64 (.f64 x x) #s(literal 1/24 binary64)) x)) z)))
(/.f64 #s(approx (* (cosh x) (/ y x)) #s(approx (/ (+ (* x (* x (* y (+ (* x (* x 1/24)) 1/2)))) y) x) (.f64 #s(literal 1/24 binary64) (.f64 y (.f64 x (.f64 x 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 (.f64 y (.f64 x x)) #s(literal 1/24 binary64))))) 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 #s(literal 1 binary64) (.f64 z (/.f64 x (.f64 y #s(approx (cosh 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 (.f64 y (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) x))) z)
(/.f64 #s(approx (* (cosh x) (/ y x)) #s(approx (/ (+ (* x (* x (* y (+ (* x (* x 1/24)) 1/2)))) y) x) (.f64 (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)) z) (/.f64 #s(literal 1 binary64) (/.f64 x (/.f64 y z))))
(/.f64 #s(approx (* (cosh x) (/ y x)) (*.f64 y (fma.f64 x #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))) 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) x) y) #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 (.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (.f64 x x) #s(literal 1 binary64))) (/.f64 y x)) z)
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 #s(approx (+ (* x (* x (* y (+ (* x (* x 1/24)) 1/2)))) y) (.f64 x (.f64 y (.f64 (.f64 (.f64 x x) #s(literal 1/24 binary64)) x)))) (.f64 x z)))
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (fma.f64 x (.f64 x #s(approx ( y (+ (* x (* x 1/24)) 1/2)) (.f64 y (.f64 (.f64 x x) #s(literal 1/24 binary64))))) y) (.f64 x z)))
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 #s(approx (+ (* x (* x (* y (+ (* (* x x) (+ (* (* x x) 1/720) 1/24)) 1/2)))) y) (fma.f64 (.f64 y (.f64 x x)) (fma.f64 (.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) y)) (.f64 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)))
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (fma.f64 (.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) y y) (.f64 x z)))
(/.f64 #s(literal 1 binary64) (/.f64 z #s(approx (* (/ (cosh x) x) y) #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 (.f64 y #s(approx (cosh x) (fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64)))) (.f64 z x))
(/.f64 #s(approx (* (cosh x) (/ y x)) #s(approx (/ (+ (* x (* x (* y (+ (* x (* x 1/24)) 1/2)))) y) x) (fma.f64 (fma.f64 x (.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) (.f64 y x) (/.f64 y x)))) z)
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 x (.f64 x #s(approx ( y (+ (* x (* x 1/24)) 1/2)) (.f64 x (.f64 y (*.f64 x #s(literal 1/24 binary64)))))) y) x)) z)
(/.f64 (.f64 (/.f64 #s(approx (cosh x) (fma.f64 (.f64 x x) #s(approx (+ (* (* x x) 1/24) 1/2) (.f64 x (.f64 x #s(literal 1/24 binary64)))) #s(literal 1 binary64))) x) y) z)

Outputs

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

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

Calls

5 calls:

17.0ms	y
11.0ms	(*.f64 (cosh.f64 x) (/.f64 y x))
11.0ms	x
10.0ms	z
9.0ms	(/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z)

Results

Accuracy	Segments	Branch
86.5%	1	`z`
86.5%	1	`(*.f64 (cosh.f64 x) (/.f64 y x))`
86.5%	1	`(/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z)`
89.8%	3	`x`
88.5%	2	`y`

Compiler

Compiled 32 to 22 computations (31.3% saved)

regimes109.0ms (0.8%)

Memory

5.6MiB live, 122.2MiB allocated

Counts

33 → 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)
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (/.f64 y z) x))
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 y x)) z)
(/.f64 #s(approx (* (/ (cosh x) x) y) (/.f64 y x)) z)
(.f64 (/.f64 #s(literal 1 binary64) z) #s(approx ( (/ (cosh x) x) y) #s(approx (+ (* y (* x 1/2)) (/ y x)) (.f64 x (.f64 y #s(literal 1/2 binary64))))))
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (/.f64 y x) (/.f64 #s(literal 1 binary64) z)))
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (/.f64 y z) (/.f64 #s(literal 1 binary64) x)))
(*.f64 (/.f64 #s(approx (cosh x) #s(literal 1 binary64)) x) (/.f64 y z))
(*.f64 (/.f64 #s(approx (cosh x) #s(literal 1 binary64)) z) (/.f64 y x))
(/.f64 (*.f64 (/.f64 #s(approx (cosh x) #s(literal 1 binary64)) x) y) z)
#s(approx (/ (* (cosh x) (/ y x)) z) #s(approx (/ (+ (* x (* x (* y (+ (* x (* x 1/24)) 1/2)))) y) (* x z)) (/.f64 (.f64 y (.f64 (.f64 (.f64 x x) #s(literal 1/24 binary64)) x)) z)))
(/.f64 #s(approx (* (cosh x) (/ y x)) #s(approx (/ (+ (* x (* x (* y (+ (* x (* x 1/24)) 1/2)))) y) x) (.f64 #s(literal 1/24 binary64) (.f64 y (.f64 x (.f64 x 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 (.f64 y (.f64 x x)) #s(literal 1/24 binary64))))) 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 #s(literal 1 binary64) (.f64 z (/.f64 x (.f64 y #s(approx (cosh 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 (.f64 y (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) x))) z)
(/.f64 #s(approx (* (cosh x) (/ y x)) #s(approx (/ (+ (* x (* x (* y (+ (* x (* x 1/24)) 1/2)))) y) x) (.f64 (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)) z) (/.f64 #s(literal 1 binary64) (/.f64 x (/.f64 y z))))
(/.f64 #s(approx (* (cosh x) (/ y x)) (*.f64 y (fma.f64 x #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))) 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) x) y) #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 (.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (.f64 x x) #s(literal 1 binary64))) (/.f64 y x)) z)
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 #s(approx (+ (* x (* x (* y (+ (* x (* x 1/24)) 1/2)))) y) (.f64 x (.f64 y (.f64 (.f64 (.f64 x x) #s(literal 1/24 binary64)) x)))) (.f64 x z)))
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (fma.f64 x (.f64 x #s(approx ( y (+ (* x (* x 1/24)) 1/2)) (.f64 y (.f64 (.f64 x x) #s(literal 1/24 binary64))))) y) (.f64 x z)))
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 #s(approx (+ (* x (* x (* y (+ (* (* x x) (+ (* (* x x) 1/720) 1/24)) 1/2)))) y) (fma.f64 (.f64 y (.f64 x x)) (fma.f64 (.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) y)) (.f64 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)))
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (fma.f64 (.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) y y) (.f64 x z)))
(/.f64 #s(literal 1 binary64) (/.f64 z #s(approx (* (/ (cosh x) x) y) #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 (.f64 y #s(approx (cosh x) (fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64)))) (.f64 z x))
(/.f64 #s(approx (* (cosh x) (/ y x)) #s(approx (/ (+ (* x (* x (* y (+ (* x (* x 1/24)) 1/2)))) y) x) (fma.f64 (fma.f64 x (.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) (.f64 y x) (/.f64 y x)))) z)
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 x (.f64 x #s(approx ( y (+ (* x (* x 1/24)) 1/2)) (.f64 x (.f64 y (*.f64 x #s(literal 1/24 binary64)))))) y) x)) z)

Outputs

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

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

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

Calls

5 calls:

67.0ms	(/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z)
10.0ms	x
10.0ms	z
10.0ms	y
9.0ms	(*.f64 (cosh.f64 x) (/.f64 y x))

Results

Accuracy	Segments	Branch
86.2%	1	`z`
86.2%	1	`(/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z)`
86.2%	1	`(*.f64 (cosh.f64 x) (/.f64 y x))`
89.4%	3	`x`
87.7%	2	`y`

Compiler

Compiled 32 to 22 computations (31.3% saved)

regimes63.0ms (0.4%)

Memory

4.7MiB live, 120.4MiB allocated

Counts

32 → 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)
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (/.f64 y z) x))
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 y x)) z)
(/.f64 #s(approx (* (/ (cosh x) x) y) (/.f64 y x)) z)
(.f64 (/.f64 #s(literal 1 binary64) z) #s(approx ( (/ (cosh x) x) y) #s(approx (+ (* y (* x 1/2)) (/ y x)) (.f64 x (.f64 y #s(literal 1/2 binary64))))))
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (/.f64 y x) (/.f64 #s(literal 1 binary64) z)))
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (/.f64 y z) (/.f64 #s(literal 1 binary64) x)))
(*.f64 (/.f64 #s(approx (cosh x) #s(literal 1 binary64)) x) (/.f64 y z))
(*.f64 (/.f64 #s(approx (cosh x) #s(literal 1 binary64)) z) (/.f64 y x))
(/.f64 (*.f64 (/.f64 #s(approx (cosh x) #s(literal 1 binary64)) x) y) z)
#s(approx (/ (* (cosh x) (/ y x)) z) #s(approx (/ (+ (* x (* x (* y (+ (* x (* x 1/24)) 1/2)))) y) (* x z)) (/.f64 (.f64 y (.f64 (.f64 (.f64 x x) #s(literal 1/24 binary64)) x)) z)))
(/.f64 #s(approx (* (cosh x) (/ y x)) #s(approx (/ (+ (* x (* x (* y (+ (* x (* x 1/24)) 1/2)))) y) x) (.f64 #s(literal 1/24 binary64) (.f64 y (.f64 x (.f64 x 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 (.f64 y (.f64 x x)) #s(literal 1/24 binary64))))) 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 #s(literal 1 binary64) (.f64 z (/.f64 x (.f64 y #s(approx (cosh 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 (.f64 y (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) x))) z)
(/.f64 #s(approx (* (cosh x) (/ y x)) #s(approx (/ (+ (* x (* x (* y (+ (* x (* x 1/24)) 1/2)))) y) x) (.f64 (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)) z) (/.f64 #s(literal 1 binary64) (/.f64 x (/.f64 y z))))
(/.f64 #s(approx (* (cosh x) (/ y x)) (*.f64 y (fma.f64 x #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))) 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) x) y) #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 (.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (.f64 x x) #s(literal 1 binary64))) (/.f64 y x)) z)
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 #s(approx (+ (* x (* x (* y (+ (* x (* x 1/24)) 1/2)))) y) (.f64 x (.f64 y (.f64 (.f64 (.f64 x x) #s(literal 1/24 binary64)) x)))) (.f64 x z)))
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (fma.f64 x (.f64 x #s(approx ( y (+ (* x (* x 1/24)) 1/2)) (.f64 y (.f64 (.f64 x x) #s(literal 1/24 binary64))))) y) (.f64 x z)))
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 #s(approx (+ (* x (* x (* y (+ (* (* x x) (+ (* (* x x) 1/720) 1/24)) 1/2)))) y) (fma.f64 (.f64 y (.f64 x x)) (fma.f64 (.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) y)) (.f64 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)))
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (fma.f64 (.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) y y) (.f64 x z)))
(/.f64 #s(literal 1 binary64) (/.f64 z #s(approx (* (/ (cosh x) x) y) #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 (.f64 y #s(approx (cosh x) (fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64)))) (.f64 z x))
(/.f64 #s(approx (* (cosh x) (/ y x)) #s(approx (/ (+ (* x (* x (* y (+ (* x (* x 1/24)) 1/2)))) y) x) (fma.f64 (fma.f64 x (.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) (.f64 y x) (/.f64 y x)))) z)

Outputs

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

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

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

Calls

5 calls:

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

Results

Accuracy	Segments	Branch
84.3%	1	`z`
84.3%	1	`(/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z)`
84.3%	1	`(*.f64 (cosh.f64 x) (/.f64 y x))`
86.1%	2	`y`
88.5%	3	`x`

Compiler

Compiled 32 to 22 computations (31.3% saved)

regimes11.0ms (0.1%)

Memory

-10.3MiB live, 28.2MiB allocated

Counts

30 → 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)
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (/.f64 y z) x))
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 y x)) z)
(/.f64 #s(approx (* (/ (cosh x) x) y) (/.f64 y x)) z)
(.f64 (/.f64 #s(literal 1 binary64) z) #s(approx ( (/ (cosh x) x) y) #s(approx (+ (* y (* x 1/2)) (/ y x)) (.f64 x (.f64 y #s(literal 1/2 binary64))))))
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (/.f64 y x) (/.f64 #s(literal 1 binary64) z)))
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (/.f64 y z) (/.f64 #s(literal 1 binary64) x)))
(*.f64 (/.f64 #s(approx (cosh x) #s(literal 1 binary64)) x) (/.f64 y z))
(*.f64 (/.f64 #s(approx (cosh x) #s(literal 1 binary64)) z) (/.f64 y x))
(/.f64 (*.f64 (/.f64 #s(approx (cosh x) #s(literal 1 binary64)) x) y) z)
#s(approx (/ (* (cosh x) (/ y x)) z) #s(approx (/ (+ (* x (* x (* y (+ (* x (* x 1/24)) 1/2)))) y) (* x z)) (/.f64 (.f64 y (.f64 (.f64 (.f64 x x) #s(literal 1/24 binary64)) x)) z)))
(/.f64 #s(approx (* (cosh x) (/ y x)) #s(approx (/ (+ (* x (* x (* y (+ (* x (* x 1/24)) 1/2)))) y) x) (.f64 #s(literal 1/24 binary64) (.f64 y (.f64 x (.f64 x 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 (.f64 y (.f64 x x)) #s(literal 1/24 binary64))))) 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 #s(literal 1 binary64) (.f64 z (/.f64 x (.f64 y #s(approx (cosh 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 (.f64 y (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) x))) z)
(/.f64 #s(approx (* (cosh x) (/ y x)) #s(approx (/ (+ (* x (* x (* y (+ (* x (* x 1/24)) 1/2)))) y) x) (.f64 (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)) z) (/.f64 #s(literal 1 binary64) (/.f64 x (/.f64 y z))))
(/.f64 #s(approx (* (cosh x) (/ y x)) (*.f64 y (fma.f64 x #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))) 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) x) y) #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 (.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (.f64 x x) #s(literal 1 binary64))) (/.f64 y x)) z)
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 #s(approx (+ (* x (* x (* y (+ (* x (* x 1/24)) 1/2)))) y) (.f64 x (.f64 y (.f64 (.f64 (.f64 x x) #s(literal 1/24 binary64)) x)))) (.f64 x z)))
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (fma.f64 x (.f64 x #s(approx ( y (+ (* x (* x 1/24)) 1/2)) (.f64 y (.f64 (.f64 x x) #s(literal 1/24 binary64))))) y) (.f64 x z)))
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 #s(approx (+ (* x (* x (* y (+ (* (* x x) (+ (* (* x x) 1/720) 1/24)) 1/2)))) y) (fma.f64 (.f64 y (.f64 x x)) (fma.f64 (.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) y)) (.f64 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)))
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (fma.f64 (.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) y y) (.f64 x z)))
(/.f64 #s(literal 1 binary64) (/.f64 z #s(approx (* (/ (cosh x) x) y) #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))))))))

Outputs

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

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

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

Calls

1 calls:

9.0ms

Results

Accuracy	Segments	Branch
88.5%	3	`x`

Compiler

Compiled 4 to 3 computations (25% saved)

regimes14.0ms (0.1%)

Memory

-31.0MiB live, 15.3MiB allocated

Counts

28 → 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)
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (/.f64 y z) x))
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 y x)) z)
(/.f64 #s(approx (* (/ (cosh x) x) y) (/.f64 y x)) z)
(.f64 (/.f64 #s(literal 1 binary64) z) #s(approx ( (/ (cosh x) x) y) #s(approx (+ (* y (* x 1/2)) (/ y x)) (.f64 x (.f64 y #s(literal 1/2 binary64))))))
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (/.f64 y x) (/.f64 #s(literal 1 binary64) z)))
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (/.f64 y z) (/.f64 #s(literal 1 binary64) x)))
(*.f64 (/.f64 #s(approx (cosh x) #s(literal 1 binary64)) x) (/.f64 y z))
(*.f64 (/.f64 #s(approx (cosh x) #s(literal 1 binary64)) z) (/.f64 y x))
(/.f64 (*.f64 (/.f64 #s(approx (cosh x) #s(literal 1 binary64)) x) y) z)
#s(approx (/ (* (cosh x) (/ y x)) z) #s(approx (/ (+ (* x (* x (* y (+ (* x (* x 1/24)) 1/2)))) y) (* x z)) (/.f64 (.f64 y (.f64 (.f64 (.f64 x x) #s(literal 1/24 binary64)) x)) z)))
(/.f64 #s(approx (* (cosh x) (/ y x)) #s(approx (/ (+ (* x (* x (* y (+ (* x (* x 1/24)) 1/2)))) y) x) (.f64 #s(literal 1/24 binary64) (.f64 y (.f64 x (.f64 x 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 (.f64 y (.f64 x x)) #s(literal 1/24 binary64))))) 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 #s(literal 1 binary64) (.f64 z (/.f64 x (.f64 y #s(approx (cosh 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 (.f64 y (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) x))) z)
(/.f64 #s(approx (* (cosh x) (/ y x)) #s(approx (/ (+ (* x (* x (* y (+ (* x (* x 1/24)) 1/2)))) y) x) (.f64 (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)) z) (/.f64 #s(literal 1 binary64) (/.f64 x (/.f64 y z))))
(/.f64 #s(approx (* (cosh x) (/ y x)) (*.f64 y (fma.f64 x #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))) 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) x) y) #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 (.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (.f64 x x) #s(literal 1 binary64))) (/.f64 y x)) z)
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 #s(approx (+ (* x (* x (* y (+ (* x (* x 1/24)) 1/2)))) y) (.f64 x (.f64 y (.f64 (.f64 (.f64 x x) #s(literal 1/24 binary64)) x)))) (.f64 x z)))
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (fma.f64 x (.f64 x #s(approx ( y (+ (* x (* x 1/24)) 1/2)) (.f64 y (.f64 (.f64 x x) #s(literal 1/24 binary64))))) y) (.f64 x z)))
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 #s(approx (+ (* x (* x (* y (+ (* (* x x) (+ (* (* x x) 1/720) 1/24)) 1/2)))) y) (fma.f64 (.f64 y (.f64 x x)) (fma.f64 (.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) y)) (.f64 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)))

Outputs

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

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

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

Calls

1 calls:

13.0ms

Results

Accuracy	Segments	Branch
88.2%	3	`x`

Compiler

Compiled 4 to 3 computations (25% saved)

regimes9.0ms (0.1%)

Memory

5.1MiB live, 5.1MiB allocated

Counts

26 → 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)
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (/.f64 y z) x))
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 y x)) z)
(/.f64 #s(approx (* (/ (cosh x) x) y) (/.f64 y x)) z)
(.f64 (/.f64 #s(literal 1 binary64) z) #s(approx ( (/ (cosh x) x) y) #s(approx (+ (* y (* x 1/2)) (/ y x)) (.f64 x (.f64 y #s(literal 1/2 binary64))))))
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (/.f64 y x) (/.f64 #s(literal 1 binary64) z)))
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (/.f64 y z) (/.f64 #s(literal 1 binary64) x)))
(*.f64 (/.f64 #s(approx (cosh x) #s(literal 1 binary64)) x) (/.f64 y z))
(*.f64 (/.f64 #s(approx (cosh x) #s(literal 1 binary64)) z) (/.f64 y x))
(/.f64 (*.f64 (/.f64 #s(approx (cosh x) #s(literal 1 binary64)) x) y) z)
#s(approx (/ (* (cosh x) (/ y x)) z) #s(approx (/ (+ (* x (* x (* y (+ (* x (* x 1/24)) 1/2)))) y) (* x z)) (/.f64 (.f64 y (.f64 (.f64 (.f64 x x) #s(literal 1/24 binary64)) x)) z)))
(/.f64 #s(approx (* (cosh x) (/ y x)) #s(approx (/ (+ (* x (* x (* y (+ (* x (* x 1/24)) 1/2)))) y) x) (.f64 #s(literal 1/24 binary64) (.f64 y (.f64 x (.f64 x 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 (.f64 y (.f64 x x)) #s(literal 1/24 binary64))))) 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 #s(literal 1 binary64) (.f64 z (/.f64 x (.f64 y #s(approx (cosh 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 (.f64 y (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) x))) z)
(/.f64 #s(approx (* (cosh x) (/ y x)) #s(approx (/ (+ (* x (* x (* y (+ (* x (* x 1/24)) 1/2)))) y) x) (.f64 (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)) z) (/.f64 #s(literal 1 binary64) (/.f64 x (/.f64 y z))))
(/.f64 #s(approx (* (cosh x) (/ y x)) (*.f64 y (fma.f64 x #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))) 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) x) y) #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 (.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (.f64 x x) #s(literal 1 binary64))) (/.f64 y x)) z)
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 #s(approx (+ (* x (* x (* y (+ (* x (* x 1/24)) 1/2)))) y) (.f64 x (.f64 y (.f64 (.f64 (.f64 x x) #s(literal 1/24 binary64)) x)))) (.f64 x z)))
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (fma.f64 x (.f64 x #s(approx ( y (+ (* x (* x 1/24)) 1/2)) (.f64 y (.f64 (.f64 x x) #s(literal 1/24 binary64))))) y) (.f64 x z)))

Outputs

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

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

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

Calls

1 calls:

8.0ms

Results

Accuracy	Segments	Branch
87.8%	3	`x`

Compiler

Compiled 4 to 3 computations (25% saved)

regimes40.0ms (0.3%)

Memory

12.4MiB live, 90.1MiB allocated

Counts

25 → 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)
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (/.f64 y z) x))
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 y x)) z)
(/.f64 #s(approx (* (/ (cosh x) x) y) (/.f64 y x)) z)
(.f64 (/.f64 #s(literal 1 binary64) z) #s(approx ( (/ (cosh x) x) y) #s(approx (+ (* y (* x 1/2)) (/ y x)) (.f64 x (.f64 y #s(literal 1/2 binary64))))))
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (/.f64 y x) (/.f64 #s(literal 1 binary64) z)))
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (/.f64 y z) (/.f64 #s(literal 1 binary64) x)))
(*.f64 (/.f64 #s(approx (cosh x) #s(literal 1 binary64)) x) (/.f64 y z))
(*.f64 (/.f64 #s(approx (cosh x) #s(literal 1 binary64)) z) (/.f64 y x))
(/.f64 (*.f64 (/.f64 #s(approx (cosh x) #s(literal 1 binary64)) x) y) z)
#s(approx (/ (* (cosh x) (/ y x)) z) #s(approx (/ (+ (* x (* x (* y (+ (* x (* x 1/24)) 1/2)))) y) (* x z)) (/.f64 (.f64 y (.f64 (.f64 (.f64 x x) #s(literal 1/24 binary64)) x)) z)))
(/.f64 #s(approx (* (cosh x) (/ y x)) #s(approx (/ (+ (* x (* x (* y (+ (* x (* x 1/24)) 1/2)))) y) x) (.f64 #s(literal 1/24 binary64) (.f64 y (.f64 x (.f64 x 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 (.f64 y (.f64 x x)) #s(literal 1/24 binary64))))) 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 #s(literal 1 binary64) (.f64 z (/.f64 x (.f64 y #s(approx (cosh 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 (.f64 y (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) x))) z)
(/.f64 #s(approx (* (cosh x) (/ y x)) #s(approx (/ (+ (* x (* x (* y (+ (* x (* x 1/24)) 1/2)))) y) x) (.f64 (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)) z) (/.f64 #s(literal 1 binary64) (/.f64 x (/.f64 y z))))
(/.f64 #s(approx (* (cosh x) (/ y x)) (*.f64 y (fma.f64 x #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))) 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) x) y) #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 (.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (.f64 x x) #s(literal 1 binary64))) (/.f64 y x)) z)
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 #s(approx (+ (* x (* x (* y (+ (* x (* x 1/24)) 1/2)))) y) (.f64 x (.f64 y (.f64 (.f64 (.f64 x x) #s(literal 1/24 binary64)) x)))) (.f64 x z)))

Outputs

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

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

Calls

5 calls:

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

Results

Accuracy	Segments	Branch
73.1%	3	`z`
78.1%	2	`(/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z)`
78.1%	2	`(*.f64 (cosh.f64 x) (/.f64 y x))`
70.9%	3	`y`
85.4%	2	`x`

Compiler

Compiled 32 to 22 computations (31.3% saved)

regimes5.0ms (0%)

Memory

16.4MiB live, 16.4MiB allocated

Counts

13 → 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)
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (/.f64 y z) x))
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 y x)) z)
(/.f64 #s(approx (* (/ (cosh x) x) y) (/.f64 y x)) z)
(.f64 (/.f64 #s(literal 1 binary64) z) #s(approx ( (/ (cosh x) x) y) #s(approx (+ (* y (* x 1/2)) (/ y x)) (.f64 x (.f64 y #s(literal 1/2 binary64))))))
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (/.f64 y x) (/.f64 #s(literal 1 binary64) z)))
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (/.f64 y z) (/.f64 #s(literal 1 binary64) x)))
(*.f64 (/.f64 #s(approx (cosh x) #s(literal 1 binary64)) x) (/.f64 y z))
(*.f64 (/.f64 #s(approx (cosh x) #s(literal 1 binary64)) z) (/.f64 y x))
(/.f64 (*.f64 (/.f64 #s(approx (cosh x) #s(literal 1 binary64)) x) y) z)
#s(approx (/ (* (cosh x) (/ y x)) z) #s(approx (/ (+ (* x (* x (* y (+ (* x (* x 1/24)) 1/2)))) y) (* x z)) (/.f64 (.f64 y (.f64 (.f64 (.f64 x x) #s(literal 1/24 binary64)) x)) z)))

Outputs

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

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

Calls

1 calls:

4.0ms

Results

Accuracy	Segments	Branch
85.4%	2	`x`

Compiler

Compiled 4 to 3 computations (25% saved)

regimes27.0ms (0.2%)

Memory

-18.7MiB live, 58.8MiB allocated

Counts

12 → 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)
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (/.f64 y z) x))
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 y x)) z)
(/.f64 #s(approx (* (/ (cosh x) x) y) (/.f64 y x)) z)
(.f64 (/.f64 #s(literal 1 binary64) z) #s(approx ( (/ (cosh x) x) y) #s(approx (+ (* y (* x 1/2)) (/ y x)) (.f64 x (.f64 y #s(literal 1/2 binary64))))))
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (/.f64 y x) (/.f64 #s(literal 1 binary64) z)))
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (/.f64 y z) (/.f64 #s(literal 1 binary64) x)))
(*.f64 (/.f64 #s(approx (cosh x) #s(literal 1 binary64)) x) (/.f64 y z))
(*.f64 (/.f64 #s(approx (cosh x) #s(literal 1 binary64)) z) (/.f64 y x))
(/.f64 (*.f64 (/.f64 #s(approx (cosh x) #s(literal 1 binary64)) x) y) z)

Outputs

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

7.0ms	x
4.0ms	y
4.0ms	z
4.0ms	(*.f64 (cosh.f64 x) (/.f64 y x))
4.0ms	(/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z)

Results

Accuracy	Segments	Branch
56.1%	2	`y`
56.1%	2	`z`
57.9%	3	`(/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z)`
57.9%	3	`(*.f64 (cosh.f64 x) (/.f64 y x))`
66.2%	2	`x`

Compiler

Compiled 32 to 22 computations (31.3% saved)

regimes4.0ms (0%)

Memory

9.8MiB live, 9.8MiB allocated

Counts

8 → 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)
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (/.f64 y z) x))
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 y x)) z)
(/.f64 #s(approx (* (/ (cosh x) x) y) (/.f64 y x)) z)
(.f64 (/.f64 #s(literal 1 binary64) z) #s(approx ( (/ (cosh x) x) y) #s(approx (+ (* y (* x 1/2)) (/ y x)) (.f64 x (.f64 y #s(literal 1/2 binary64))))))
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (/.f64 y x) (/.f64 #s(literal 1 binary64) z)))

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

1 calls:

3.0ms

Results

Accuracy	Segments	Branch
66.2%	2	`x`

Compiler

Compiled 4 to 3 computations (25% saved)

regimes2.0ms (0%)

Memory

6.2MiB live, 6.2MiB 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
64.9%	2	`x`

Compiler

Compiled 4 to 3 computations (25% saved)

regimes8.0ms (0.1%)

Memory

-17.2MiB live, 22.6MiB allocated

Accuracy

Total -0.4b remaining (-1.3%)

Threshold costs -0.4b (-1.3%)

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

Results

Accuracy	Segments	Branch
50.1%	1	`y`
50.1%	1	`z`
50.1%	1	`(/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z)`
50.1%	1	`(*.f64 (cosh.f64 x) (/.f64 y x))`
50.1%	1	`x`

Compiler

Compiled 32 to 22 computations (31.3% saved)

bsearch16.0ms (0.1%)

Memory

-5.5MiB live, 33.9MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
15.0ms	4.486738332688302e-25	3.1392915499602784e-15

Samples

8.0ms

160×

valid

Compiler

Compiled 254 to 173 computations (31.9% saved)

Precisions

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

ival-div: 2.0ms (41.8% of total)

ival-cosh: 2.0ms (41.8% of total)

ival-mult: 1.0ms (20.9% of total)

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

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

bsearch11.0ms (0.1%)

Memory

21.6MiB live, 21.6MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
9.0ms	4.486738332688302e-25	3.1392915499602784e-15

Samples

6.0ms

96×

valid

Compiler

Compiled 404 to 253 computations (37.4% saved)

Precisions

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

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

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

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

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

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

bsearch29.0ms (0.2%)

Memory

-24.3MiB live, 55.3MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
13.0ms	1.4437776128633091e+48	3.579949734721669e+56
12.0ms	4.7708310514517004e-219	5.857333895817906e-215

Samples

15.0ms

272×

valid

Compiler

Compiled 541 to 341 computations (37% saved)

Precisions

Click to see histograms. Total time spent on operations: 9.0ms

ival-div: 4.0ms (43.2% of total)

ival-cosh: 4.0ms (43.2% of total)

ival-mult: 2.0ms (21.6% of total)

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

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

bsearch13.0ms (0.1%)

Memory

27.9MiB live, 27.8MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
12.0ms	5.1035263128514223e-14	1.2801090352191252e-10

Samples

7.0ms

128×

valid

Compiler

Compiled 406 to 245 computations (39.7% saved)

Precisions

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

ival-div: 2.0ms (53.8% of total)

ival-mult: 1.0ms (26.9% of total)

ival-cosh: 1.0ms (26.9% of total)

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

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

bsearch6.0ms (0%)

Memory

-29.6MiB live, 9.6MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	predicate-same

Steps

Time	Left	Right
4.0ms	1.2801090352191252e-10	5.1259419284391035e-8

Samples

2.0ms

48×

valid

Compiler

Compiled 161 to 100 computations (37.9% saved)

Precisions

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

ival-div: 1.0ms (71.8% 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

1.3MiB live, 1.3MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	predicate-same

Steps

Time	Left	Right
0.0ms	1.2801090352191252e-10	5.1259419284391035e-8

Compiler

Compiled 161 to 100 computations (37.9% saved)

bsearch1.0ms (0%)

Memory

1.6MiB live, 1.6MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	predicate-same

Steps

Time	Left	Right
0.0ms	1.2801090352191252e-10	5.1259419284391035e-8

Compiler

Compiled 158 to 91 computations (42.4% saved)

bsearch3.0ms (0%)

Memory

6.7MiB live, 6.7MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
3.0ms	2.7501388221752235e-98	3.18799123052048e-98

Samples

2.0ms

32×

valid

Compiler

Compiled 102 to 67 computations (34.3% saved)

Precisions

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

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

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

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

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

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

bsearch10.0ms (0.1%)

Memory

15.3MiB live, 15.3MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
9.0ms	5.008530369358703e-99	2.7501388221752235e-98

Samples

5.0ms

96×

valid

Compiler

Compiled 278 to 169 computations (39.2% saved)

Precisions

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

ival-div: 1.0ms (35.1% of total)

ival-mult: 1.0ms (35.1% of total)

ival-cosh: 1.0ms (35.1% of total)

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

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

bsearch8.0ms (0.1%)

Memory

12.6MiB live, 12.6MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
7.0ms	3.49087568237047e+255	9.749568252176743e+255

Samples

4.0ms

80×

valid

Compiler

Compiled 234 to 148 computations (36.8% saved)

Precisions

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

ival-div: 1.0ms (38.4% of total)

ival-cosh: 1.0ms (38.4% of total)

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

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

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

bsearch21.0ms (0.1%)

Memory

-18.9MiB live, 19.7MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
19.0ms	5.933723852314291e-122	2.5054049014248595e-119
0.0ms	4.7708310514517004e-219	5.857333895817906e-215

Samples

14.0ms

128×

valid

Compiler

Compiled 430 to 253 computations (41.2% saved)

Precisions

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

ival-div: 2.0ms (52.5% of total)

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

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

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

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

bsearch12.0ms (0.1%)

Memory

19.2MiB live, 19.2MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
10.0ms	7.187912713896142e+92	3.2026972699440007e+94
1.0ms	4.7708310514517004e-219	5.857333895817906e-215

Samples

6.0ms

112×

valid

Compiler

Compiled 543 to 341 computations (37.2% saved)

Precisions

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

ival-div: 1.0ms (30.1% of total)

ival-mult: 1.0ms (30.1% of total)

ival-cosh: 1.0ms (30.1% of total)

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

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

bsearch14.0ms (0.1%)

Memory

-33.0MiB live, 5.7MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
13.0ms	7.187912713896142e+92	3.2026972699440007e+94
1.0ms	4.7708310514517004e-219	5.857333895817906e-215

Compiler

Compiled 543 to 326 computations (40% saved)

bsearch10.0ms (0.1%)

Memory

23.3MiB live, 23.3MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
9.0ms	7.187912713896142e+92	3.2026972699440007e+94
1.0ms	4.7708310514517004e-219	5.857333895817906e-215

Samples

5.0ms

96×

valid

Compiler

Compiled 558 to 311 computations (44.3% saved)

Precisions

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

ival-div: 1.0ms (36.3% of total)

ival-mult: 1.0ms (36.3% of total)

ival-cosh: 1.0ms (36.3% of total)

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

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

bsearch2.0ms (0%)

Memory

4.7MiB live, 4.7MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
1.0ms	7.187912713896142e+92	3.2026972699440007e+94
1.0ms	4.7708310514517004e-219	5.857333895817906e-215

Compiler

Compiled 543 to 311 computations (42.7% saved)

bsearch18.0ms (0.1%)

Memory

-13.6MiB live, 28.0MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
17.0ms	0.29845469385228596	10220951.721293882

Samples

9.0ms

144×

valid

Compiler

Compiled 275 to 175 computations (36.4% saved)

Precisions

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

ival-div: 2.0ms (37.8% of total)

ival-cosh: 2.0ms (37.8% of total)

ival-mult: 1.0ms (18.9% of total)

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

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

bsearch1.0ms (0%)

Memory

2.3MiB live, 2.2MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
1.0ms	0.29845469385228596	10220951.721293882

Compiler

Compiled 275 to 175 computations (36.4% saved)

bsearch7.0ms (0%)

Memory

14.4MiB live, 14.4MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
6.0ms	0.29845469385228596	10220951.721293882

Samples

4.0ms

64×

valid

Compiler

Compiled 239 to 157 computations (34.3% saved)

Precisions

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

ival-div: 1.0ms (45.8% of total)

ival-cosh: 1.0ms (45.8% 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

1.6MiB live, 1.6MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
1.0ms	0.29845469385228596	10220951.721293882

Compiler

Compiled 221 to 139 computations (37.1% saved)

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	0.29845469385228596	10220951.721293882

Compiler

Compiled 221 to 139 computations (37.1% saved)

simplify17.0ms (0.1%)

Memory

-10.6MiB live, 27.7MiB allocated

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	213	1220
1	252	1220

Stop Event

1×

saturated

Calls

Call 1

Inputs
(if (<=.f64 y #s(literal 2926428355520071/1361129467683753853853498429727072845824 binary64)) (/.f64 (.f64 (/.f64 (cosh.f64 x) x) y) z) (.f64 (/.f64 y z) (/.f64 (cosh.f64 x) x)))
(if (<=.f64 y #s(literal 2450033041830757/5444517870735015415413993718908291383296 binary64)) (/.f64 (.f64 (/.f64 #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) y) z) (*.f64 (/.f64 y z) (/.f64 (cosh.f64 x) x)))
(if (<=.f64 x #s(literal 2980834737217361/12420144738405671481191835907700020442055088136933572889112416304208407621491015090647027270629171823603901845577048585649372640352918515131554298200329449113635639808166799244402122285052787558602103993549731750007142774830528462848 binary64)) #s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (/.f64 y z) x)) (if (<=.f64 x #s(literal 6999999999999999952546640720531395835231959093608448 binary64)) (/.f64 (.f64 (cosh.f64 x) y) (.f64 x z)) (/.f64 (.f64 (/.f64 #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) y) z)))
(if (<=.f64 y #s(literal 6734393813712469/19807040628566084398385987584 binary64)) (/.f64 (.f64 (/.f64 #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) y) z) #s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (/.f64 (fma.f64 (.f64 x y) (.f64 (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) x) y) z) x)))
(if (<=.f64 y #s(literal 3022314549036573/604462909807314587353088 binary64)) (/.f64 #s(approx (* (/ (cosh x) x) y) (/.f64 (fma.f64 (.f64 x y) (.f64 (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) y) x)) z) #s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (/.f64 (fma.f64 (.f64 x y) (.f64 (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) x) y) z) x)))
(if (<=.f64 y #s(literal 3022314549036573/604462909807314587353088 binary64)) (/.f64 #s(approx (* (/ (cosh x) x) y) (/.f64 (fma.f64 (.f64 x x) (.f64 y (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))) y) x)) z) #s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (/.f64 (fma.f64 (.f64 x y) (.f64 (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) x) y) z) x)))
(if (<=.f64 y #s(literal 3022314549036573/604462909807314587353088 binary64)) (/.f64 #s(approx (* (/ (cosh x) x) y) (/.f64 (fma.f64 (.f64 x x) #s(approx ( y (+ (* x (* x (+ (* x (* x 1/720)) 1/24))) 1/2)) (.f64 y (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/720 binary64)))))) y) x)) z) #s(approx (/ ( (cosh x) (/ y x)) z) (/.f64 (/.f64 (fma.f64 (.f64 x y) (.f64 (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) x) y) z) x)))
(if (<=.f64 y #s(literal 278969282152207/9619630419041620901435312524449124464130795720328478190417063819395928166869436184427311097384012607618805661696 binary64)) (/.f64 (.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))) x) y) z) #s(approx (/ ( (cosh x) (/ y x)) z) (/.f64 (/.f64 (fma.f64 (.f64 x y) (.f64 (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) x) y) z) x)))
(if (<=.f64 y #s(literal 1038920085256495/38478521676166483605741250097796497856523182881313912761668255277583712667477744737709244389536050430475222646784 binary64)) (/.f64 (.f64 (/.f64 #s(approx (cosh x) (fma.f64 (.f64 x x) #s(approx (+ (* (* x x) 1/24) 1/2) (.f64 x (.f64 x #s(literal 1/24 binary64)))) #s(literal 1 binary64))) x) y) z) #s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (/.f64 (fma.f64 (.f64 x y) (.f64 (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) x) y) z) x)))
(if (<=.f64 y #s(literal 7199999999999999750158140979422106835221877735889759127458094893190002532581006052829402317903604491191101608714843684284268184243815085669541080626012562764685714821297730709526455314743833710945955455967065741339910644217992107621476814350854715707752448 binary64)) (/.f64 (.f64 (/.f64 #s(approx (cosh x) (fma.f64 (.f64 x x) #s(approx (+ (* (* x x) 1/24) 1/2) (.f64 x (.f64 x #s(literal 1/24 binary64)))) #s(literal 1 binary64))) x) y) z) (/.f64 (.f64 y #s(approx (cosh x) (fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64)))) (.f64 z x)))
(if (<=.f64 x #s(literal 2980834737217361/12420144738405671481191835907700020442055088136933572889112416304208407621491015090647027270629171823603901845577048585649372640352918515131554298200329449113635639808166799244402122285052787558602103993549731750007142774830528462848 binary64)) #s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (/.f64 y z) x)) (if (<=.f64 x #s(literal 2616619407464185/11629419588729710248789180926208072549658261770997088964503843186890228609814366773219056811420217048972200345700258846936553626057834496 binary64)) #s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 y (.f64 x z))) (/.f64 #s(approx ( (cosh x) (/ y x)) (/.f64 (fma.f64 x (.f64 x #s(approx ( y (+ (* x (* x 1/24)) 1/2)) (.f64 x (.f64 y (*.f64 x #s(literal 1/24 binary64)))))) y) x)) z)))
(if (<=.f64 x #s(literal 2980834737217361/12420144738405671481191835907700020442055088136933572889112416304208407621491015090647027270629171823603901845577048585649372640352918515131554298200329449113635639808166799244402122285052787558602103993549731750007142774830528462848 binary64)) #s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (/.f64 y z) x)) (if (<=.f64 x #s(literal 27999999999999999825059244441542864969276392994399406490929850113724502287420063011399509475328 binary64)) (/.f64 (.f64 y #s(approx (cosh x) (fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64)))) (.f64 z x)) #s(approx (/ (* (cosh x) (/ y x)) z) #s(approx (/ (+ (* x (* x (* y (+ (* x (* x 1/24)) 1/2)))) y) (* x z)) (/.f64 (.f64 y (.f64 (.f64 (.f64 x x) #s(literal 1/24 binary64)) x)) z)))))
(if (<=.f64 x #s(literal 2980834737217361/12420144738405671481191835907700020442055088136933572889112416304208407621491015090647027270629171823603901845577048585649372640352918515131554298200329449113635639808166799244402122285052787558602103993549731750007142774830528462848 binary64)) #s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (/.f64 y z) x)) (if (<=.f64 x #s(literal 27999999999999999825059244441542864969276392994399406490929850113724502287420063011399509475328 binary64)) #s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (fma.f64 (.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) y y) (.f64 x z))) #s(approx (/ (* (cosh x) (/ y x)) z) #s(approx (/ (+ (* x (* x (* y (+ (* x (* x 1/24)) 1/2)))) y) (* x z)) (/.f64 (.f64 y (.f64 (.f64 (.f64 x x) #s(literal 1/24 binary64)) x)) z)))))
(if (<=.f64 x #s(literal 2980834737217361/12420144738405671481191835907700020442055088136933572889112416304208407621491015090647027270629171823603901845577048585649372640352918515131554298200329449113635639808166799244402122285052787558602103993549731750007142774830528462848 binary64)) #s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (/.f64 y z) x)) (if (<=.f64 x #s(literal 820000000000000047148592442919352122455139027329381020996252973819672190515296911763198443520 binary64)) #s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 #s(approx (+ (* x (* x (* y (+ (* (* x x) (+ (* (* x x) 1/720) 1/24)) 1/2)))) y) (fma.f64 (.f64 y (.f64 x x)) (fma.f64 (.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) y)) (.f64 x z))) #s(approx (/ (* (cosh x) (/ y x)) z) #s(approx (/ (+ (* x (* x (* y (+ (* x (* x 1/24)) 1/2)))) y) (* x z)) (/.f64 (.f64 y (.f64 (.f64 (.f64 x x) #s(literal 1/24 binary64)) x)) z)))))
(if (<=.f64 x #s(literal 2980834737217361/12420144738405671481191835907700020442055088136933572889112416304208407621491015090647027270629171823603901845577048585649372640352918515131554298200329449113635639808166799244402122285052787558602103993549731750007142774830528462848 binary64)) #s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (/.f64 y z) x)) (if (<=.f64 x #s(literal 820000000000000047148592442919352122455139027329381020996252973819672190515296911763198443520 binary64)) #s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (fma.f64 x (.f64 x #s(approx ( y (+ (* x (* x 1/24)) 1/2)) (.f64 y (.f64 (.f64 x x) #s(literal 1/24 binary64))))) y) (.f64 x z))) #s(approx (/ (* (cosh x) (/ y x)) z) #s(approx (/ (+ (* x (* x (* y (+ (* x (* x 1/24)) 1/2)))) y) (* x z)) (/.f64 (.f64 y (.f64 (.f64 (.f64 x x) #s(literal 1/24 binary64)) x)) z)))))
(if (<=.f64 x #s(literal 2476979795053773/1125899906842624 binary64)) #s(approx (/ (* (cosh x) (/ y x)) z) (.f64 (/.f64 y z) (/.f64 #s(literal 1 binary64) x))) (/.f64 #s(approx ( (cosh x) (/ y x)) #s(approx (/ (+ (* x (* x (* y (+ (* x (* x 1/24)) 1/2)))) y) x) (.f64 #s(literal 1/24 binary64) (.f64 y (.f64 x (.f64 x x)))))) z))
(if (<=.f64 x #s(literal 2476979795053773/1125899906842624 binary64)) #s(approx (/ (* (cosh x) (/ y x)) z) (.f64 (/.f64 y z) (/.f64 #s(literal 1 binary64) x))) #s(approx (/ ( (cosh x) (/ y x)) z) #s(approx (/ (+ (* x (* x (* y (+ (* x (* x 1/24)) 1/2)))) y) (* x z)) (/.f64 (.f64 y (.f64 (.f64 (.f64 x x) #s(literal 1/24 binary64)) x)) z))))
(if (<=.f64 x #s(literal 3152519739159347/2251799813685248 binary64)) #s(approx (/ (* (cosh x) (/ y x)) z) (.f64 (/.f64 y z) (/.f64 #s(literal 1 binary64) 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)) #s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (/.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)) #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))
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 y (*.f64 x z)))

Outputs
(if (<=.f64 y #s(literal 2926428355520071/1361129467683753853853498429727072845824 binary64)) (/.f64 (.f64 (/.f64 (cosh.f64 x) x) y) z) (.f64 (/.f64 y z) (/.f64 (cosh.f64 x) x)))
(if (<=.f64 y #s(literal 2926428355520071/1361129467683753853853498429727072845824 binary64)) (/.f64 (.f64 y (/.f64 (cosh.f64 x) x)) z) (.f64 (/.f64 (cosh.f64 x) x) (/.f64 y z)))
(if (<=.f64 y #s(literal 2450033041830757/5444517870735015415413993718908291383296 binary64)) (/.f64 (.f64 (/.f64 #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) y) z) (*.f64 (/.f64 y z) (/.f64 (cosh.f64 x) x)))
(if (<=.f64 y #s(literal 2450033041830757/5444517870735015415413993718908291383296 binary64)) (/.f64 (.f64 y (/.f64 #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)) z) (*.f64 (/.f64 (cosh.f64 x) x) (/.f64 y z)))
(if (<=.f64 x #s(literal 2980834737217361/12420144738405671481191835907700020442055088136933572889112416304208407621491015090647027270629171823603901845577048585649372640352918515131554298200329449113635639808166799244402122285052787558602103993549731750007142774830528462848 binary64)) #s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (/.f64 y z) x)) (if (<=.f64 x #s(literal 6999999999999999952546640720531395835231959093608448 binary64)) (/.f64 (.f64 (cosh.f64 x) y) (.f64 x z)) (/.f64 (.f64 (/.f64 #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) y) z)))
(if (<=.f64 x #s(literal 2980834737217361/12420144738405671481191835907700020442055088136933572889112416304208407621491015090647027270629171823603901845577048585649372640352918515131554298200329449113635639808166799244402122285052787558602103993549731750007142774830528462848 binary64)) #s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (/.f64 y z) x)) (if (<=.f64 x #s(literal 6999999999999999952546640720531395835231959093608448 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 (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)) z)))
(if (<=.f64 y #s(literal 6734393813712469/19807040628566084398385987584 binary64)) (/.f64 (.f64 (/.f64 #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) y) z) #s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (/.f64 (fma.f64 (.f64 x y) (.f64 (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) x) y) z) x)))
(if (<=.f64 y #s(literal 6734393813712469/19807040628566084398385987584 binary64)) (/.f64 (.f64 y (/.f64 #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)) z) #s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (/.f64 (fma.f64 (.f64 y x) (.f64 x (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) y) z) x)))
(if (<=.f64 y #s(literal 3022314549036573/604462909807314587353088 binary64)) (/.f64 #s(approx (* (/ (cosh x) x) y) (/.f64 (fma.f64 (.f64 x y) (.f64 (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) y) x)) z) #s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (/.f64 (fma.f64 (.f64 x y) (.f64 (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) x) y) z) x)))
(if (<=.f64 y #s(literal 3022314549036573/604462909807314587353088 binary64)) (/.f64 #s(approx (* (/ (cosh x) x) y) (/.f64 (fma.f64 (.f64 y x) (.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))) y) x)) z) #s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (/.f64 (fma.f64 (.f64 y x) (.f64 x (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) y) z) x)))
(if (<=.f64 y #s(literal 3022314549036573/604462909807314587353088 binary64)) (/.f64 #s(approx (* (/ (cosh x) x) y) (/.f64 (fma.f64 (.f64 x x) (.f64 y (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))) y) x)) z) #s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (/.f64 (fma.f64 (.f64 x y) (.f64 (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) x) y) z) x)))
(if (<=.f64 y #s(literal 3022314549036573/604462909807314587353088 binary64)) (/.f64 #s(approx (* (/ (cosh x) x) y) (/.f64 (fma.f64 (.f64 x x) (.f64 y (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))) y) x)) z) #s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (/.f64 (fma.f64 (.f64 y x) (.f64 x (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) y) z) x)))
(if (<=.f64 y #s(literal 3022314549036573/604462909807314587353088 binary64)) (/.f64 #s(approx (* (/ (cosh x) x) y) (/.f64 (fma.f64 (.f64 x x) #s(approx ( y (+ (* x (* x (+ (* x (* x 1/720)) 1/24))) 1/2)) (.f64 y (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/720 binary64)))))) y) x)) z) #s(approx (/ ( (cosh x) (/ y x)) z) (/.f64 (/.f64 (fma.f64 (.f64 x y) (.f64 (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) x) y) z) x)))
(if (<=.f64 y #s(literal 3022314549036573/604462909807314587353088 binary64)) (/.f64 #s(approx (* (/ (cosh x) x) y) (/.f64 (fma.f64 (.f64 x x) #s(approx ( y (+ (* x (* x (+ (* x (* x 1/720)) 1/24))) 1/2)) (.f64 y (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/720 binary64)))))) y) x)) z) #s(approx (/ ( (cosh x) (/ y x)) z) (/.f64 (/.f64 (fma.f64 (.f64 y x) (.f64 x (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) y) z) x)))
(if (<=.f64 y #s(literal 278969282152207/9619630419041620901435312524449124464130795720328478190417063819395928166869436184427311097384012607618805661696 binary64)) (/.f64 (.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))) x) y) z) #s(approx (/ ( (cosh x) (/ y x)) z) (/.f64 (/.f64 (fma.f64 (.f64 x y) (.f64 (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) x) y) z) x)))
(if (<=.f64 y #s(literal 278969282152207/9619630419041620901435312524449124464130795720328478190417063819395928166869436184427311097384012607618805661696 binary64)) (/.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))) x)) z) #s(approx (/ ( (cosh x) (/ y x)) z) (/.f64 (/.f64 (fma.f64 (.f64 y x) (.f64 x (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) y) z) x)))
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(if (<=.f64 x #s(literal 2980834737217361/12420144738405671481191835907700020442055088136933572889112416304208407621491015090647027270629171823603901845577048585649372640352918515131554298200329449113635639808166799244402122285052787558602103993549731750007142774830528462848 binary64)) #s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (/.f64 y z) x)) (if (<=.f64 x #s(literal 27999999999999999825059244441542864969276392994399406490929850113724502287420063011399509475328 binary64)) #s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (fma.f64 (.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) y y) (.f64 x z))) #s(approx (/ (* (cosh x) (/ y x)) z) #s(approx (/ (+ (* x (* x (* y (+ (* x (* x 1/24)) 1/2)))) y) (* x z)) (/.f64 (.f64 y (.f64 x (.f64 (.f64 x x) #s(literal 1/24 binary64)))) z)))))
(if (<=.f64 x #s(literal 2980834737217361/12420144738405671481191835907700020442055088136933572889112416304208407621491015090647027270629171823603901845577048585649372640352918515131554298200329449113635639808166799244402122285052787558602103993549731750007142774830528462848 binary64)) #s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (/.f64 y z) x)) (if (<=.f64 x #s(literal 820000000000000047148592442919352122455139027329381020996252973819672190515296911763198443520 binary64)) #s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 #s(approx (+ (* x (* x (* y (+ (* (* x x) (+ (* (* x x) 1/720) 1/24)) 1/2)))) y) (fma.f64 (.f64 y (.f64 x x)) (fma.f64 (.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) y)) (.f64 x z))) #s(approx (/ (* (cosh x) (/ y x)) z) #s(approx (/ (+ (* x (* x (* y (+ (* x (* x 1/24)) 1/2)))) y) (* x z)) (/.f64 (.f64 y (.f64 (.f64 (.f64 x x) #s(literal 1/24 binary64)) x)) z)))))
(if (<=.f64 x #s(literal 2980834737217361/12420144738405671481191835907700020442055088136933572889112416304208407621491015090647027270629171823603901845577048585649372640352918515131554298200329449113635639808166799244402122285052787558602103993549731750007142774830528462848 binary64)) #s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (/.f64 y z) x)) (if (<=.f64 x #s(literal 820000000000000047148592442919352122455139027329381020996252973819672190515296911763198443520 binary64)) #s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 #s(approx (+ (* x (* x (* y (+ (* (* x x) (+ (* (* x x) 1/720) 1/24)) 1/2)))) y) (fma.f64 (.f64 y (.f64 x x)) (fma.f64 (.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) y)) (.f64 x z))) #s(approx (/ (* (cosh x) (/ y x)) z) #s(approx (/ (+ (* x (* x (* y (+ (* x (* x 1/24)) 1/2)))) y) (* x z)) (/.f64 (.f64 y (.f64 x (.f64 (.f64 x x) #s(literal 1/24 binary64)))) z)))))
(if (<=.f64 x #s(literal 2980834737217361/12420144738405671481191835907700020442055088136933572889112416304208407621491015090647027270629171823603901845577048585649372640352918515131554298200329449113635639808166799244402122285052787558602103993549731750007142774830528462848 binary64)) #s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (/.f64 y z) x)) (if (<=.f64 x #s(literal 820000000000000047148592442919352122455139027329381020996252973819672190515296911763198443520 binary64)) #s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (fma.f64 x (.f64 x #s(approx ( y (+ (* x (* x 1/24)) 1/2)) (.f64 y (.f64 (.f64 x x) #s(literal 1/24 binary64))))) y) (.f64 x z))) #s(approx (/ (* (cosh x) (/ y x)) z) #s(approx (/ (+ (* x (* x (* y (+ (* x (* x 1/24)) 1/2)))) y) (* x z)) (/.f64 (.f64 y (.f64 (.f64 (.f64 x x) #s(literal 1/24 binary64)) x)) z)))))
(if (<=.f64 x #s(literal 2980834737217361/12420144738405671481191835907700020442055088136933572889112416304208407621491015090647027270629171823603901845577048585649372640352918515131554298200329449113635639808166799244402122285052787558602103993549731750007142774830528462848 binary64)) #s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (/.f64 y z) x)) (if (<=.f64 x #s(literal 820000000000000047148592442919352122455139027329381020996252973819672190515296911763198443520 binary64)) #s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (fma.f64 x (.f64 x #s(approx ( y (+ (* x (* x 1/24)) 1/2)) (.f64 y (.f64 (.f64 x x) #s(literal 1/24 binary64))))) y) (.f64 x z))) #s(approx (/ (* (cosh x) (/ y x)) z) #s(approx (/ (+ (* x (* x (* y (+ (* x (* x 1/24)) 1/2)))) y) (* x z)) (/.f64 (.f64 y (.f64 x (.f64 (.f64 x x) #s(literal 1/24 binary64)))) z)))))
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(if (<=.f64 x #s(literal 2476979795053773/1125899906842624 binary64)) #s(approx (/ (* (cosh x) (/ y x)) z) (.f64 (/.f64 y z) (/.f64 #s(literal 1 binary64) x))) #s(approx (/ ( (cosh x) (/ y x)) z) #s(approx (/ (+ (* x (* x (* y (+ (* x (* x 1/24)) 1/2)))) y) (* x z)) (/.f64 (.f64 y (.f64 (.f64 (.f64 x x) #s(literal 1/24 binary64)) x)) z))))
(if (<=.f64 x #s(literal 2476979795053773/1125899906842624 binary64)) #s(approx (/ (* (cosh x) (/ y x)) z) (.f64 (/.f64 y z) (/.f64 #s(literal 1 binary64) x))) #s(approx (/ ( (cosh x) (/ y x)) z) #s(approx (/ (+ (* x (* x (* y (+ (* x (* x 1/24)) 1/2)))) y) (* x z)) (/.f64 (.f64 y (.f64 x (.f64 (.f64 x x) #s(literal 1/24 binary64)))) z))))
(if (<=.f64 x #s(literal 3152519739159347/2251799813685248 binary64)) #s(approx (/ (* (cosh x) (/ y x)) z) (.f64 (/.f64 y z) (/.f64 #s(literal 1 binary64) 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)) #s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (/.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)) #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))
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 y (*.f64 x z)))

soundness2.8s (19.7%)

Memory

5.1MiB live, 1 764.0MiB allocated

Rules

25 756×	`lower-fma.f64`
25 756×	`lower-fma.f32`
18 522×	`lower-fma.f64`
18 522×	`lower-fma.f32`
17 286×	`lower-fma.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	63	465
0	101	460
1	387	460
2	2446	460
0	8691	454
0	232	9068
1	789	8846
2	2758	8606
3	6868	8605
0	8334	8091
0	45	348
0	80	348
1	339	344
2	1919	344
0	8226	344
0	149	5824
1	465	5816
2	1447	5716
3	4261	5696
0	8644	5493
0	39	256
0	69	256
1	261	256
2	1786	256
0	8380	256
0	7	19
0	11	19
1	36	19
2	208	19
3	2161	19
0	8571	19
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
0	192	6776
1	620	6714
2	2008	6536
3	4767	6502
0	8215	6241

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

Compiler

Compiled 1 853 to 820 computations (55.7% saved)

preprocess330.0ms (2.3%)

Memory

10.7MiB live, 366.3MiB allocated

Remove

(negabs x)

(negabs z)

Compiler

Compiled 1 748 to 436 computations (75.1% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze68.0ms (0.5%)

sample738.0ms (5.2%)

preprocess154.0ms (1.1%)

explain80.0ms (0.6%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify101.0ms (0.7%)

localize39.0ms (0.3%)

series32.0ms (0.2%)

simplify511.0ms (3.6%)

rewrite251.0ms (1.8%)

eval100.0ms (0.7%)

prune124.0ms (0.9%)

simplify571.0ms (4%)

localize150.0ms (1.1%)

series78.0ms (0.6%)

simplify572.0ms (4%)

rewrite385.0ms (2.7%)

eval139.0ms (1%)

prune253.0ms (1.8%)

simplify470.0ms (3.3%)

localize238.0ms (1.7%)

series64.0ms (0.4%)

simplify475.0ms (3.3%)

rewrite359.0ms (2.5%)

eval418.0ms (2.9%)

prune1.1s (8.1%)

simplify428.0ms (3%)

localize184.0ms (1.3%)

series30.0ms (0.2%)

simplify420.0ms (3%)

rewrite460.0ms (3.2%)

eval207.0ms (1.5%)

prune394.0ms (2.8%)

regimes189.0ms (1.3%)

regimes124.0ms (0.9%)

regimes153.0ms (1.1%)

regimes103.0ms (0.7%)

regimes88.0ms (0.6%)

regimes18.0ms (0.1%)

regimes116.0ms (0.8%)

regimes96.0ms (0.7%)

regimes14.0ms (0.1%)

regimes60.0ms (0.4%)

regimes109.0ms (0.8%)

regimes63.0ms (0.4%)

regimes11.0ms (0.1%)

regimes14.0ms (0.1%)

regimes9.0ms (0.1%)

regimes40.0ms (0.3%)

regimes5.0ms (0%)

regimes27.0ms (0.2%)

regimes4.0ms (0%)

regimes2.0ms (0%)

regimes8.0ms (0.1%)

bsearch16.0ms (0.1%)

bsearch11.0ms (0.1%)

bsearch29.0ms (0.2%)

bsearch13.0ms (0.1%)

bsearch6.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch3.0ms (0%)

bsearch10.0ms (0.1%)

bsearch8.0ms (0.1%)

bsearch21.0ms (0.1%)

bsearch12.0ms (0.1%)

bsearch14.0ms (0.1%)

bsearch10.0ms (0.1%)

bsearch2.0ms (0%)

bsearch18.0ms (0.1%)

bsearch1.0ms (0%)

bsearch7.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

simplify17.0ms (0.1%)

soundness2.8s (19.7%)

preprocess330.0ms (2.3%)

end0.0ms (0%)

Profiling