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

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated

analyze66.0ms (0.6%)

Memory

-13.6MiB live, 144.3MiB allocated

Algorithm

1×

Search

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

Compiler

Compiled 10 to 9 computations (10% saved)

sample1.1s (10.3%)

Memory

30.7MiB live, 1 054.0MiB allocated

Samples

587.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 368.0ms

ival-div: 184.0ms (50.1% of total)

ival-cosh: 112.0ms (30.5% of total)

ival-mult: 63.0ms (17.1% of total)

ival-true: 6.0ms (1.6% of total)

ival-assert: 3.0ms (0.8% of total)

Bogosity

explain107.0ms (1%)

Memory

22.3MiB live, 99.5MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
32	-	-	`(*.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**	32	0
↳	`(cosh.f64 x)`	overflow	124
↳	`(/.f64 y x)`	underflow	32
`/.f64`	`(/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z)`	o/n	12	0
↳	`(cosh.f64 x)`	overflow	124
↳	`(/.f64 y x)`	overflow	41
↳	`(*.f64 (cosh.f64 x) (/.f64 y x))`	overflow	165

Confusion

	Predicted +	Predicted -
+	44	0
-	0	212

Precision

1.0

Recall

1.0

Confusion?

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

Precision?

1.0

Recall?

1.0

Freqs

test

number	freq
0	212
1	44

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

31.0ms

512×

valid

Compiler

Compiled 56 to 25 computations (55.4% saved)

Precisions

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

ival-div: 8.0ms (47.9% of total)

ival-cosh: 5.0ms (30% of total)

ival-mult: 3.0ms (18% of total)

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

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

preprocess147.0ms (1.3%)

Memory

-4.2MiB live, 118.0MiB 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 (/.f64 (cosh.f64 x) x) z) y)

Symmetry

(negabs z)

(negabs y)

(negabs x)

Compiler

Compiled 8 to 7 computations (12.5% saved)

eval0.0ms (0%)

Memory: 0.4MiB live, 0.4MiB allocated
Compiler: Compiled 0 to 3 computations (-∞% saved)

prune1.0ms (0%)

Memory

1.2MiB live, 1.2MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	83.0%	(/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z)

Compiler

Compiled 8 to 7 computations (12.5% saved)

simplify77.0ms (0.7%)

Memory

-13.7MiB live, 25.0MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

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

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

localize42.0ms (0.4%)

Memory

-16.5MiB live, 22.7MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0	(/.f64 y x)
accuracy	0	(cosh.f64 x)
accuracy	2.910568844952518	(/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z)
accuracy	6.375000000000001	(*.f64 (cosh.f64 x) (/.f64 y x))

Samples

35.0ms

256×

valid

Compiler

Compiled 24 to 9 computations (62.5% saved)

Precisions

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

ival-div: 3.0ms (39.8% of total)

ival-cosh: 3.0ms (39.8% of total)

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

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

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

series20.0ms (0.2%)

Memory

14.7MiB live, 14.7MiB allocated

Counts

4 → 96

Calls

Call 1

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

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

Calls

9 calls:

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

simplify227.0ms (2.1%)

Memory

7.0MiB live, 131.7MiB 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	596	988
3	1406	982
4	2096	982
5	2761	980
6	3294	980
7	4780	976
8	5441	976
9	5911	976
10	6442	976
11	7732	976
0	8015	958

Stop Event

1×	iter limit
1×	node limit

Counts

96 → 96

Calls

Call 1

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

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

rewrite171.0ms (1.6%)

Memory

-23.2MiB live, 136.3MiB allocated

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

eval59.0ms (0.5%)

Memory: 17.3MiB live, 95.7MiB allocated
Compiler: Compiled 6 704 to 1 082 computations (83.9% saved)

prune73.0ms (0.7%)

Memory

-8.7MiB live, 147.4MiB allocated

Pruning

10 alts after pruning (10 fresh and 0 done)

	Pruned	Kept	Total
New	471	10	481
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	472	10	482

Accuracy

100.0%

Counts

482 → 10

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	96.5%	(/.f64 (/.f64 (*.f64 y (cosh.f64 x)) z) x)
	76.2%	(/.f64 (.f64 #s(approx (cosh x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (.f64 x x) #s(literal 1/24 binary64)) (.f64 x x) #s(literal 1/2 binary64)) (.f64 x x) #s(literal 1 binary64))) (/.f64 y x)) z)
	74.3%	(/.f64 (.f64 #s(approx (cosh x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) (/.f64 y x)) z)
	67.6%	(/.f64 (.f64 #s(approx (cosh x) (fma.f64 (.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) (/.f64 y x)) z)
	80.3%	(/.f64 (.f64 y (cosh.f64 x)) (.f64 z x))
▶	49.7%	(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 y x)) z)
▶	63.1%	(/.f64 #s(approx (* (cosh x) (/ y x)) (*.f64 (fma.f64 x #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) y)) z)
	60.1%	#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (fma.f64 x #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) (/.f64 y z)))
▶	76.9%	#s(approx (/ (* (cosh x) (/ y x)) z) (.f64 (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (.f64 x x) #s(literal 1/24 binary64)) (.f64 x x) #s(literal 1/2 binary64)) (.f64 x x) #s(literal 1 binary64)) z) (/.f64 y x)))
▶	86.1%	#s(approx (/ (* (cosh x) (/ y x)) z) (.f64 (/.f64 (/.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) z) x) y))

Compiler

Compiled 278 to 214 computations (23% saved)

simplify171.0ms (1.6%)

Memory

-20.2MiB live, 194.5MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

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

Rules

12 938×	`lower-fma.f32`
12 926×	`lower-fma.f64`
4 306×	`lower-*.f32`
4 296×	`lower-*.f64`
2 342×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	36	319
0	62	319
1	112	319
2	207	319
3	437	319
4	889	319
5	2248	315
6	5510	315
7	6305	315
8	6359	315
9	6438	315
10	6469	315
11	6901	315
0	8131	311

Stop Event

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

Calls

Call 1

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

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

localize229.0ms (2.1%)

Memory

6.2MiB live, 163.2MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score
accuracy	0.2906051923223798	(fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64))
accuracy	1.1974103825855695	(/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (.f64 x x) #s(literal 1/24 binary64)) (.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) z)
accuracy	6.936538516783074	#s(approx (/ (* (cosh x) (/ y x)) z) (.f64 (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (.f64 x x) #s(literal 1/24 binary64)) (.f64 x x) #s(literal 1/2 binary64)) (.f64 x x) #s(literal 1 binary64)) z) (/.f64 y x)))
accuracy	10.831844195653877	(.f64 (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (.f64 x x) #s(literal 1/24 binary64)) (.f64 x x) #s(literal 1/2 binary64)) (.f64 x x) #s(literal 1 binary64)) z) (/.f64 y x))
accuracy	1.2615605612720642	(/.f64 (/.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 x x) #s(literal 1/2 binary64)) (.f64 x x) #s(literal 1 binary64)) z) x)
accuracy	2.3761919575963666	(/.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 x x) #s(literal 1/2 binary64)) (.f64 x x) #s(literal 1 binary64)) z)
accuracy	5.237725549998502	(.f64 (/.f64 (/.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) z) x) y)
accuracy	9.547933695839696	#s(approx (/ (* (cosh x) (/ y x)) z) (.f64 (/.f64 (/.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) z) x) y))
accuracy	0	(/.f64 #s(literal 1 binary64) x)
accuracy	0.0859375	(*.f64 (fma.f64 x #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) y)
accuracy	2.910568844952518	(/.f64 #s(approx (* (cosh x) (/ y x)) (*.f64 (fma.f64 x #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) y)) z)
accuracy	22.976758942191793	#s(approx (* (cosh x) (/ y x)) (*.f64 (fma.f64 x #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) y))
accuracy	0	(/.f64 y x)
accuracy	2.910568844952518	(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 y x)) z)
accuracy	30.205977354816557	#s(approx (* (cosh x) (/ y x)) (/.f64 y x))
accuracy	0	(/.f64 (*.f64 y (cosh.f64 x)) z)
accuracy	0	(*.f64 y (cosh.f64 x))
accuracy	0	(cosh.f64 x)
accuracy	2.257997983028115	(/.f64 (/.f64 (*.f64 y (cosh.f64 x)) z) x)

Samples

204.0ms

256×

valid

Compiler

Compiled 277 to 36 computations (87% saved)

Precisions

Click to see histograms. Total time spent on operations: 185.0ms

ival-div: 151.0ms (81.8% of total)

ival-mult: 17.0ms (9.2% of total)

ival-add: 6.0ms (3.3% of total)

const: 6.0ms (3.3% of total)

ival-cosh: 3.0ms (1.6% of total)

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

exact: 0.0ms (0% of total)

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

series69.0ms (0.6%)

Memory

18.1MiB live, 135.9MiB allocated

Counts

21 → 540

Calls

Call 1

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

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

Calls

9 calls:

Time	Variable		Point	Expression
8.0ms	z	@	0	((/ (/ (* y (cosh x)) z) x) (/ (* y (cosh x)) z) (* y (cosh x)) (cosh x) (/ (* (cosh x) (/ y x)) z) (* (cosh x) (/ y x)) (/ y x) (/ (* (cosh x) (/ y x)) z) (* (cosh x) (/ y x)) (* (+ (* x 1/2) (/ 1 x)) y) (+ (* x 1/2) (/ 1 x)) (* (/ (/ (+ (* (+ (* 1/24 (* x x)) 1/2) (* x x)) 1) z) x) y) (/ (* (cosh x) (/ y x)) z) (/ (/ (+ (* (+ (* 1/24 (* x x)) 1/2) (* x x)) 1) z) x) (/ (+ (* (+ (* 1/24 (* x x)) 1/2) (* x x)) 1) z) (* (/ (+ (* (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (* x x)) 1) z) (/ y x)) (/ (* (cosh x) (/ y x)) z) (/ (+ (* (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (* x x)) 1) z) (+ (* (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (* x x)) 1) (/ 1 x) (+ (* 1/720 (* x x)) 1/24))
7.0ms	z	@	-inf	((/ (/ (* y (cosh x)) z) x) (/ (* y (cosh x)) z) (* y (cosh x)) (cosh x) (/ (* (cosh x) (/ y x)) z) (* (cosh x) (/ y x)) (/ y x) (/ (* (cosh x) (/ y x)) z) (* (cosh x) (/ y x)) (* (+ (* x 1/2) (/ 1 x)) y) (+ (* x 1/2) (/ 1 x)) (* (/ (/ (+ (* (+ (* 1/24 (* x x)) 1/2) (* x x)) 1) z) x) y) (/ (* (cosh x) (/ y x)) z) (/ (/ (+ (* (+ (* 1/24 (* x x)) 1/2) (* x x)) 1) z) x) (/ (+ (* (+ (* 1/24 (* x x)) 1/2) (* x x)) 1) z) (* (/ (+ (* (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (* x x)) 1) z) (/ y x)) (/ (* (cosh x) (/ y x)) z) (/ (+ (* (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (* x x)) 1) z) (+ (* (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (* x x)) 1) (/ 1 x) (+ (* 1/720 (* x x)) 1/24))
6.0ms	y	@	-inf	((/ (/ (* y (cosh x)) z) x) (/ (* y (cosh x)) z) (* y (cosh x)) (cosh x) (/ (* (cosh x) (/ y x)) z) (* (cosh x) (/ y x)) (/ y x) (/ (* (cosh x) (/ y x)) z) (* (cosh x) (/ y x)) (* (+ (* x 1/2) (/ 1 x)) y) (+ (* x 1/2) (/ 1 x)) (* (/ (/ (+ (* (+ (* 1/24 (* x x)) 1/2) (* x x)) 1) z) x) y) (/ (* (cosh x) (/ y x)) z) (/ (/ (+ (* (+ (* 1/24 (* x x)) 1/2) (* x x)) 1) z) x) (/ (+ (* (+ (* 1/24 (* x x)) 1/2) (* x x)) 1) z) (* (/ (+ (* (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (* x x)) 1) z) (/ y x)) (/ (* (cosh x) (/ y x)) z) (/ (+ (* (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (* x x)) 1) z) (+ (* (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (* x x)) 1) (/ 1 x) (+ (* 1/720 (* x x)) 1/24))
4.0ms	x	@	inf	((/ (/ (* y (cosh x)) z) x) (/ (* y (cosh x)) z) (* y (cosh x)) (cosh x) (/ (* (cosh x) (/ y x)) z) (* (cosh x) (/ y x)) (/ y x) (/ (* (cosh x) (/ y x)) z) (* (cosh x) (/ y x)) (* (+ (* x 1/2) (/ 1 x)) y) (+ (* x 1/2) (/ 1 x)) (* (/ (/ (+ (* (+ (* 1/24 (* x x)) 1/2) (* x x)) 1) z) x) y) (/ (* (cosh x) (/ y x)) z) (/ (/ (+ (* (+ (* 1/24 (* x x)) 1/2) (* x x)) 1) z) x) (/ (+ (* (+ (* 1/24 (* x x)) 1/2) (* x x)) 1) z) (* (/ (+ (* (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (* x x)) 1) z) (/ y x)) (/ (* (cosh x) (/ y x)) z) (/ (+ (* (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (* x x)) 1) z) (+ (* (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (* x x)) 1) (/ 1 x) (+ (* 1/720 (* x x)) 1/24))
4.0ms	y	@	0	((/ (/ (* y (cosh x)) z) x) (/ (* y (cosh x)) z) (* y (cosh x)) (cosh x) (/ (* (cosh x) (/ y x)) z) (* (cosh x) (/ y x)) (/ y x) (/ (* (cosh x) (/ y x)) z) (* (cosh x) (/ y x)) (* (+ (* x 1/2) (/ 1 x)) y) (+ (* x 1/2) (/ 1 x)) (* (/ (/ (+ (* (+ (* 1/24 (* x x)) 1/2) (* x x)) 1) z) x) y) (/ (* (cosh x) (/ y x)) z) (/ (/ (+ (* (+ (* 1/24 (* x x)) 1/2) (* x x)) 1) z) x) (/ (+ (* (+ (* 1/24 (* x x)) 1/2) (* x x)) 1) z) (* (/ (+ (* (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (* x x)) 1) z) (/ y x)) (/ (* (cosh x) (/ y x)) z) (/ (+ (* (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (* x x)) 1) z) (+ (* (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (* x x)) 1) (/ 1 x) (+ (* 1/720 (* x x)) 1/24))

simplify236.0ms (2.2%)

Memory

6.0MiB live, 233.4MiB allocated

Algorithm

1×	egg-herbie

Rules

14 660×	`lower-fma.f64`
14 660×	`lower-fma.f32`
5 240×	`lower-*.f64`
5 240×	`lower-*.f32`
2 648×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	233	7478
1	768	7466
2	2493	7286
3	5995	7254
0	8345	6904

Stop Event

1×	iter limit
1×	node limit

Counts

540 → 539

Calls

Call 1

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

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

rewrite342.0ms (3.1%)

Memory

-19.0MiB live, 271.6MiB allocated

Rules

4 902×	`lower-/.f32`
4 884×	`lower-/.f64`
3 758×	`lower-*.f32`
3 748×	`lower-*.f64`
3 578×	`lower-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	36	258
0	62	258
1	243	258
2	1754	258
0	8355	258

Stop Event

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

Counts

21 → 772

Calls

Call 1

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

Outputs
(.f64 (/.f64 (/.f64 (.f64 (cosh.f64 x) y) z) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) x))
(*.f64 (/.f64 (/.f64 (neg.f64 y) x) #s(literal -1 binary64)) (/.f64 (cosh.f64 x) z))
(*.f64 (/.f64 (/.f64 y x) #s(literal -1 binary64)) (/.f64 (neg.f64 (cosh.f64 x)) z))
(.f64 (/.f64 (pow.f64 x #s(literal -1/2 binary64)) z) (/.f64 (pow.f64 x #s(literal -1/2 binary64)) (pow.f64 (.f64 (cosh.f64 x) y) #s(literal -1 binary64))))
(*.f64 (/.f64 (neg.f64 (cosh.f64 x)) #s(literal -1 binary64)) (/.f64 (/.f64 y x) z))
(*.f64 (/.f64 (neg.f64 y) #s(literal -1 binary64)) (/.f64 (/.f64 (cosh.f64 x) z) x))
(*.f64 (/.f64 (neg.f64 (cosh.f64 x)) x) (/.f64 y (neg.f64 z)))
(.f64 (/.f64 (.f64 (neg.f64 y) (cosh.f64 x)) #s(literal -1 binary64)) (pow.f64 (*.f64 z x) #s(literal -1 binary64)))
(.f64 (/.f64 (.f64 (cosh.f64 x) y) #s(literal -1 binary64)) (/.f64 (neg.f64 (pow.f64 z #s(literal -1 binary64))) x))
(*.f64 (/.f64 (cosh.f64 x) #s(literal -1 binary64)) (/.f64 (/.f64 (neg.f64 y) x) z))
(*.f64 (/.f64 y #s(literal -1 binary64)) (/.f64 (neg.f64 (/.f64 (cosh.f64 x) z)) x))
(.f64 (pow.f64 (/.f64 (neg.f64 x) (.f64 (cosh.f64 x) y)) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) z))
(*.f64 (/.f64 (/.f64 (cosh.f64 x) z) x) (/.f64 y #s(literal 1 binary64)))
(.f64 (pow.f64 (.f64 z x) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (cosh.f64 x) y) #s(literal -1 binary64))))
(.f64 (pow.f64 (.f64 z x) #s(literal -1 binary64)) (/.f64 (*.f64 (cosh.f64 x) y) #s(literal 1 binary64)))
(.f64 (.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) (/.f64 (/.f64 y x) z)) #s(literal 1/2 binary64))
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(+.f64 (/.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (.f64 x x) #s(literal 1/24 binary64)) (.f64 x x) #s(literal 1/2 binary64)) #s(literal 2 binary64))) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (.f64 x x) #s(literal 1/24 binary64)) (.f64 x x) #s(literal 1/2 binary64)) (.f64 x x) #s(literal -1 binary64))) (neg.f64 (pow.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (.f64 x x) #s(literal 1/24 binary64)) (.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal -1 binary64)) #s(literal -1 binary64))))
(+.f64 (.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (.f64 x x) #s(literal 1/24 binary64)) (.f64 x x) #s(literal 1/2 binary64)) x) x) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (.f64 x x) #s(literal 1/24 binary64)) (.f64 x x) #s(literal 1/2 binary64)) x) x))
(*.f64 (pow.f64 x #s(literal -1/2 binary64)) (pow.f64 x #s(literal -1/2 binary64)))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x))
(*.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -1 binary64)))
(pow.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (*.f64 x x) #s(literal -1/2 binary64))
(pow.f64 x #s(literal -1 binary64))
(/.f64 #s(literal -1 binary64) (neg.f64 x))
(/.f64 #s(literal 1 binary64) x)
(neg.f64 (/.f64 #s(literal -1 binary64) x))
(-.f64 #s(literal 0 binary64) (/.f64 #s(literal -1 binary64) x))
(exp.f64 (neg.f64 (log.f64 x)))
(.f64 (-.f64 #s(literal 1/576 binary64) (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/518400 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/24 binary64) (.f64 #s(literal 1/720 binary64) (.f64 x x)))))
(.f64 (neg.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/518400 binary64) #s(literal -1/576 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 #s(literal 1/720 binary64) (.f64 x x) #s(literal -1/24 binary64)))))
(.f64 (neg.f64 (fma.f64 #s(literal 1/373248000 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 1/13824 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/518400 binary64) (-.f64 #s(literal 1/576 binary64) (.f64 (*.f64 x x) #s(literal 1/17280 binary64)))))))
(.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/518400 binary64) #s(literal -1/576 binary64)) (pow.f64 (fma.f64 #s(literal 1/720 binary64) (.f64 x x) #s(literal -1/24 binary64)) #s(literal -1 binary64)))
(.f64 (fma.f64 #s(literal 1/373248000 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 1/13824 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/576 binary64) (-.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/518400 binary64)) (.f64 (.f64 x x) #s(literal 1/17280 binary64))))))
(.f64 (fma.f64 #s(literal 1/373248000 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 1/13824 binary64)) (pow.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/518400 binary64) (-.f64 #s(literal 1/576 binary64) (.f64 (*.f64 x x) #s(literal 1/17280 binary64)))) #s(literal -1 binary64)))
(.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/720 binary64) (.f64 x x) #s(literal 1/24 binary64)))
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64))) #s(literal -1 binary64))
(/.f64 (-.f64 (.f64 (/.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/518400 binary64)) (fma.f64 #s(literal 1/720 binary64) (.f64 x x) #s(literal -1/24 binary64))) (/.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/518400 binary64)) (fma.f64 #s(literal 1/720 binary64) (.f64 x x) #s(literal -1/24 binary64)))) (.f64 (/.f64 #s(literal 1/576 binary64) (fma.f64 #s(literal 1/720 binary64) (.f64 x x) #s(literal -1/24 binary64))) (/.f64 #s(literal 1/576 binary64) (fma.f64 #s(literal 1/720 binary64) (.f64 x x) #s(literal -1/24 binary64))))) (+.f64 (/.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/518400 binary64)) (fma.f64 #s(literal 1/720 binary64) (.f64 x x) #s(literal -1/24 binary64))) (/.f64 #s(literal 1/576 binary64) (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal -1/24 binary64)))))
(/.f64 (-.f64 (pow.f64 (/.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/518400 binary64)) (fma.f64 #s(literal 1/720 binary64) (.f64 x x) #s(literal -1/24 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1/576 binary64) (fma.f64 #s(literal 1/720 binary64) (.f64 x x) #s(literal -1/24 binary64))) #s(literal 3 binary64))) (fma.f64 (/.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/518400 binary64)) (fma.f64 #s(literal 1/720 binary64) (.f64 x x) #s(literal -1/24 binary64))) (/.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/518400 binary64)) (fma.f64 #s(literal 1/720 binary64) (.f64 x x) #s(literal -1/24 binary64))) (fma.f64 (/.f64 #s(literal 1/576 binary64) (fma.f64 #s(literal 1/720 binary64) (.f64 x x) #s(literal -1/24 binary64))) (/.f64 #s(literal 1/576 binary64) (fma.f64 #s(literal 1/720 binary64) (.f64 x x) #s(literal -1/24 binary64))) (.f64 (/.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/518400 binary64)) (fma.f64 #s(literal 1/720 binary64) (.f64 x x) #s(literal -1/24 binary64))) (/.f64 #s(literal 1/576 binary64) (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal -1/24 binary64)))))))
(/.f64 (neg.f64 (-.f64 #s(literal 1/576 binary64) (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/518400 binary64)))) (neg.f64 (-.f64 #s(literal 1/24 binary64) (.f64 #s(literal 1/720 binary64) (*.f64 x x)))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/518400 binary64) #s(literal -1/576 binary64)))) (neg.f64 (neg.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal -1/24 binary64)))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal 1/373248000 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 1/13824 binary64)))) (neg.f64 (neg.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/518400 binary64) (-.f64 #s(literal 1/576 binary64) (.f64 (.f64 x x) #s(literal 1/17280 binary64)))))))
(/.f64 (-.f64 (.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/518400 binary64)) (fma.f64 #s(literal 1/720 binary64) (.f64 x x) #s(literal -1/24 binary64))) (.f64 (fma.f64 #s(literal 1/720 binary64) (.f64 x x) #s(literal -1/24 binary64)) #s(literal 1/576 binary64))) (.f64 (fma.f64 #s(literal 1/720 binary64) (.f64 x x) #s(literal -1/24 binary64)) (fma.f64 #s(literal 1/720 binary64) (.f64 x x) #s(literal -1/24 binary64))))
(/.f64 (-.f64 #s(literal 1/576 binary64) (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/518400 binary64))) (-.f64 #s(literal 1/24 binary64) (.f64 #s(literal 1/720 binary64) (*.f64 x x))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/518400 binary64) #s(literal -1/576 binary64))) (neg.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal -1/24 binary64))))
(/.f64 (neg.f64 (fma.f64 #s(literal 1/373248000 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 1/13824 binary64))) (neg.f64 (+.f64 #s(literal 1/576 binary64) (-.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/518400 binary64)) (.f64 (*.f64 x x) #s(literal 1/17280 binary64))))))
(/.f64 (neg.f64 (fma.f64 #s(literal 1/373248000 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 1/13824 binary64))) (neg.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/518400 binary64) (-.f64 #s(literal 1/576 binary64) (.f64 (.f64 x x) #s(literal 1/17280 binary64))))))
(/.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/518400 binary64) #s(literal -1/576 binary64)) (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal -1/24 binary64)))
(/.f64 (fma.f64 #s(literal 1/373248000 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 1/13824 binary64)) (+.f64 #s(literal 1/576 binary64) (-.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/518400 binary64)) (.f64 (*.f64 x x) #s(literal 1/17280 binary64)))))
(/.f64 (fma.f64 #s(literal 1/373248000 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 1/13824 binary64)) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/518400 binary64) (-.f64 #s(literal 1/576 binary64) (.f64 (.f64 x x) #s(literal 1/17280 binary64)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/24 binary64) (.f64 #s(literal 1/720 binary64) (.f64 x x))) (-.f64 #s(literal 1/576 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/518400 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/576 binary64) (-.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/518400 binary64)) (.f64 (*.f64 x x) #s(literal 1/17280 binary64)))) (fma.f64 #s(literal 1/373248000 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 1/13824 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64))))
(fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal 1/24 binary64))
(fma.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/518400 binary64)) (pow.f64 (fma.f64 #s(literal 1/720 binary64) (.f64 x x) #s(literal -1/24 binary64)) #s(literal -1 binary64)) (neg.f64 (/.f64 #s(literal 1/576 binary64) (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal -1/24 binary64)))))
(fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64))
(fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))
(fma.f64 x (*.f64 #s(literal 1/720 binary64) x) #s(literal 1/24 binary64))
(-.f64 (/.f64 #s(literal 1/576 binary64) (-.f64 #s(literal 1/24 binary64) (.f64 #s(literal 1/720 binary64) (.f64 x x)))) (/.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/518400 binary64)) (-.f64 #s(literal 1/24 binary64) (.f64 #s(literal 1/720 binary64) (*.f64 x x)))))
(-.f64 (/.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/518400 binary64)) (fma.f64 #s(literal 1/720 binary64) (.f64 x x) #s(literal -1/24 binary64))) (/.f64 #s(literal 1/576 binary64) (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal -1/24 binary64))))
(+.f64 (/.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/518400 binary64)) (fma.f64 #s(literal 1/720 binary64) (.f64 x x) #s(literal -1/24 binary64))) (neg.f64 (/.f64 #s(literal 1/576 binary64) (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal -1/24 binary64)))))
(+.f64 (.f64 #s(literal 1/720 binary64) (.f64 x x)) #s(literal 1/24 binary64))
(+.f64 #s(literal 1/24 binary64) (.f64 #s(literal 1/720 binary64) (.f64 x x)))

eval182.0ms (1.7%)

Memory: 34.6MiB live, 372.0MiB allocated
Compiler: Compiled 28 792 to 3 209 computations (88.9% saved)

prune184.0ms (1.7%)

Memory

5.0MiB live, 454.8MiB allocated

Pruning

29 alts after pruning (26 fresh and 3 done)

	Pruned	Kept	Total
New	1 335	23	1 358
Fresh	2	3	5
Picked	2	3	5
Done	0	0	0
Total	1 339	29	1 368

Accuracy

100.0%

Counts

1 368 → 29

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	96.5%	(/.f64 (/.f64 (*.f64 y (cosh.f64 x)) z) x)
▶	88.2%	(/.f64 (/.f64 (.f64 y #s(approx (cosh x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))) z) x)
	81.3%	(/.f64 (/.f64 (.f64 y #s(approx (cosh x) (fma.f64 (.f64 x #s(literal 1/2 binary64)) x #s(literal 1 binary64)))) z) x)
	80.3%	(/.f64 (.f64 (cosh.f64 x) y) (.f64 z x))
	74.3%	(/.f64 (.f64 #s(approx (cosh x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) (/.f64 y x)) z)
	67.6%	(/.f64 (.f64 #s(approx (cosh x) (fma.f64 (.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) (/.f64 y x)) z)
	53.0%	(/.f64 #s(approx (/ (* y (cosh x)) z) (/.f64 y z)) x)
	77.1%	(/.f64 #s(approx (/ (* y (cosh x)) z) (.f64 (fma.f64 (.f64 x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) (/.f64 y z))) x)
	43.2%	(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (-.f64 (.f64 (/.f64 y x) (/.f64 y x)) (.f64 (.f64 (.f64 #s(literal 1/2 binary64) x) y) (.f64 (.f64 #s(literal 1/2 binary64) x) y))) (-.f64 (/.f64 y x) (.f64 (.f64 #s(literal 1/2 binary64) x) y)))) z)
	79.2%	(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (.f64 (fma.f64 (.f64 x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) y) x)) z)
✓	49.7%	(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 y x)) z)
	49.7%	(/.f64 #s(approx (* (cosh x) (/ y x)) (.f64 #s(approx (+ ( x 1/2) (/ 1 x)) (/.f64 #s(literal 1 binary64) x)) y)) z)
▶	23.5%	(/.f64 #s(approx (* (cosh x) (/ y x)) (.f64 #s(approx (+ ( x 1/2) (/ 1 x)) (*.f64 x #s(literal 1/2 binary64))) y)) z)
	74.0%	#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (.f64 x x) #s(literal 1/24 binary64)) (.f64 x x) #s(literal 1/2 binary64)) (.f64 x x) #s(literal 1 binary64)) y) (*.f64 z x)))
▶	72.5%	#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (.f64 x x) #s(literal 1 binary64)) y) (.f64 z x)))
	60.1%	#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (fma.f64 x #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) (/.f64 y z)))
	76.9%	#s(approx (/ (* (cosh x) (/ y x)) z) (.f64 (/.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/720 binary64) x) x #s(literal 1/24 binary64)) (.f64 x x) #s(literal 1/2 binary64)) (.f64 x x) #s(literal 1 binary64)) z) (/.f64 y x)))
	83.9%	#s(approx (/ (* (cosh x) (/ y x)) z) (.f64 (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (.f64 x x) #s(literal 1/24 binary64)) (.f64 x x) #s(literal 1/2 binary64)) (.f64 x x) #s(literal 1 binary64)) x) (/.f64 y z)))
	72.8%	#s(approx (/ (* (cosh x) (/ y x)) z) (.f64 (/.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (.f64 x x) #s(literal 1 binary64)) (.f64 z x)) y))
	82.7%	#s(approx (/ (* (cosh x) (/ y x)) z) (.f64 (/.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) x) (/.f64 y z)))
	76.9%	#s(approx (/ (* (cosh x) (/ y x)) z) (.f64 (/.f64 (fma.f64 (fma.f64 #s(approx (+ ( 1/720 (* x x)) 1/24) (.f64 #s(literal 1/720 binary64) (.f64 x x))) (.f64 x x) #s(literal 1/2 binary64)) (.f64 x x) #s(literal 1 binary64)) z) (/.f64 y x)))
▶	76.9%	#s(approx (/ (* (cosh x) (/ y x)) z) (.f64 (/.f64 (fma.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (.f64 x x) #s(literal 1/24 binary64)) (.f64 x x) #s(literal 1/2 binary64)) x) x #s(literal 1 binary64)) z) (/.f64 y x)))
✓	86.1%	#s(approx (/ (* (cosh x) (/ y x)) z) (.f64 (/.f64 (/.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) z) x) y))
	48.6%	#s(approx (/ (* (cosh x) (/ y x)) z) (.f64 (/.f64 #s(approx (/ (+ ( (+ (* 1/24 (* x x)) 1/2) (* x x)) 1) z) (/.f64 #s(literal 1 binary64) z)) x) y))
▶	68.7%	#s(approx (/ (* (cosh x) (/ y x)) z) (.f64 (/.f64 #s(approx (+ ( (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (* x x)) 1) (fma.f64 (*.f64 x #s(literal 1/2 binary64)) x #s(literal 1 binary64))) z) (/.f64 y x)))
	76.9%	#s(approx (/ (* (cosh x) (/ y x)) z) (.f64 (/.f64 #s(literal 1 binary64) (/.f64 z (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (.f64 x x) #s(literal 1/24 binary64)) (.f64 x x) #s(literal 1/2 binary64)) (.f64 x x) #s(literal 1 binary64)))) (/.f64 y x)))
	72.8%	#s(approx (/ (* (cosh x) (/ y x)) z) (.f64 (.f64 (neg.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (.f64 x x) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 (neg.f64 z) x))) y))
	48.6%	#s(approx (/ (* (cosh x) (/ y x)) z) (.f64 #s(approx (/ (/ (+ ( (+ (* 1/24 (* x x)) 1/2) (* x x)) 1) z) x) (/.f64 (/.f64 #s(literal 1 binary64) x) z)) y))
	75.8%	#s(approx (/ (* (cosh x) (/ y x)) z) (.f64 #s(approx (/ (+ ( (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (* x x)) 1) z) (fma.f64 (fma.f64 (/.f64 (.f64 x x) z) (fma.f64 #s(literal 1/720 binary64) (.f64 x x) #s(literal 1/24 binary64)) (/.f64 #s(literal 1/2 binary64) z)) (*.f64 x x) (/.f64 #s(literal 1 binary64) z))) (/.f64 y x)))

Compiler

Compiled 910 to 668 computations (26.6% saved)

simplify189.0ms (1.7%)

Memory

-0.6MiB live, 195.1MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

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

Rules

11 056×	`lower-fma.f32`
11 042×	`lower-fma.f64`
4 376×	`lower-*.f32`
4 358×	`lower-*.f64`
1 704×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	52	518
0	86	514
1	156	514
2	273	514
3	536	514
4	1359	514
5	2757	510
6	5225	510
7	6627	510
8	7055	510
9	7497	510
0	8020	502

Stop Event

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

Calls

Call 1

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

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

localize179.0ms (1.6%)

Memory

-37.8MiB live, 253.5MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.2906051923223798	(fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64))
accuracy	1.1974103825855695	(/.f64 (fma.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x) x #s(literal 1 binary64)) z)
accuracy	6.936538516783074	#s(approx (/ (* (cosh x) (/ y x)) z) (.f64 (/.f64 (fma.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (.f64 x x) #s(literal 1/24 binary64)) (.f64 x x) #s(literal 1/2 binary64)) x) x #s(literal 1 binary64)) z) (/.f64 y x)))
accuracy	10.831844195653877	(.f64 (/.f64 (fma.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (.f64 x x) #s(literal 1/24 binary64)) (.f64 x x) #s(literal 1/2 binary64)) x) x #s(literal 1 binary64)) z) (/.f64 y x))
accuracy	0.09765625	(fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64))
accuracy	2.147982019069889	(.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) y)
accuracy	9.547933695839696	#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (.f64 x x) #s(literal 1 binary64)) y) (.f64 z x)))
accuracy	11.885580061491725	(/.f64 (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (.f64 x x) #s(literal 1 binary64)) y) (.f64 z x))
accuracy	1.1974103825855695	(/.f64 #s(approx (+ (* (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (* x x)) 1) (fma.f64 (*.f64 x #s(literal 1/2 binary64)) x #s(literal 1 binary64))) z)
accuracy	6.936538516783074	#s(approx (/ (* (cosh x) (/ y x)) z) (.f64 (/.f64 #s(approx (+ ( (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (* x x)) 1) (fma.f64 (*.f64 x #s(literal 1/2 binary64)) x #s(literal 1 binary64))) z) (/.f64 y x)))
accuracy	10.831844195653877	(.f64 (/.f64 #s(approx (+ ( (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (* x x)) 1) (fma.f64 (*.f64 x #s(literal 1/2 binary64)) x #s(literal 1 binary64))) z) (/.f64 y x))
accuracy	13.122912524957314	#s(approx (+ (* (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (* x x)) 1) (fma.f64 (*.f64 x #s(literal 1/2 binary64)) x #s(literal 1 binary64)))
accuracy	0.0859375	(.f64 #s(approx (+ ( x 1/2) (/ 1 x)) (*.f64 x #s(literal 1/2 binary64))) y)
accuracy	2.910568844952518	(/.f64 #s(approx (* (cosh x) (/ y x)) (.f64 #s(approx (+ ( x 1/2) (/ 1 x)) (*.f64 x #s(literal 1/2 binary64))) y)) z)
accuracy	22.976758942191793	#s(approx (* (cosh x) (/ y x)) (.f64 #s(approx (+ ( x 1/2) (/ 1 x)) (*.f64 x #s(literal 1/2 binary64))) y))
accuracy	32.124150612783296	#s(approx (+ (* x 1/2) (/ 1 x)) (*.f64 x #s(literal 1/2 binary64)))
accuracy	0.05078125	(fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 x x) #s(literal 1/2 binary64)) (.f64 x x) #s(literal 1 binary64))
accuracy	0.09765625	(fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64))
accuracy	2.257997983028115	(/.f64 (/.f64 (.f64 y #s(approx (cosh x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))) z) x)
accuracy	7.158748455015912	#s(approx (cosh x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 x x) #s(literal 1/2 binary64)) (.f64 x x) #s(literal 1 binary64)))

Samples

87.0ms

256×

valid

Compiler

Compiled 374 to 47 computations (87.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 59.0ms

ival-mult: 27.0ms (45.7% of total)

ival-div: 12.0ms (20.3% of total)

ival-add: 11.0ms (18.6% of total)

const: 6.0ms (10.2% of total)

ival-cosh: 3.0ms (5.1% of total)

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

exact: 0.0ms (0% of total)

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

series110.0ms (1%)

Memory

16.5MiB live, 133.5MiB allocated

Counts

25 → 588

Calls

Call 1

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

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

Calls

9 calls:

Time	Variable		Point	Expression
31.0ms	y	@	inf	((/ (/ (* y (cosh x)) z) x) (/ (* y (cosh x)) z) (* y (cosh x)) (cosh x) (/ (* (cosh x) (/ y x)) z) (* (cosh x) (/ y x)) (* (+ (* x 1/2) (/ 1 x)) y) (+ (* x 1/2) (/ 1 x)) (/ (* (cosh x) (/ y x)) z) (* (/ (+ (* (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (* x x)) 1) z) (/ y x)) (/ (+ (* (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (* x x)) 1) z) (+ (* (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (* x x)) 1) (/ (* (cosh x) (/ y x)) z) (* (+ (* (+ (* (* x x) 1/24) 1/2) (* x x)) 1) y) (+ (* (+ (* (* x x) 1/24) 1/2) (* x x)) 1) (+ (* (* x x) 1/24) 1/2) (/ (* (cosh x) (/ y x)) z) (/ (+ (* (* (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) x) x) 1) z) (+ (* (* (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) x) x) 1) (* (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) x) (+ (* 1/24 (* x x)) 1/2) (+ (* (+ (* 1/24 (* x x)) 1/2) (* x x)) 1) (/ (* (+ (* (+ (* (* x x) 1/24) 1/2) (* x x)) 1) y) (* z x)) (* (/ (+ (* (* (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) x) x) 1) z) (/ y x)) (+ (* 1/720 (* x x)) 1/24))
5.0ms	x	@	-inf	((/ (/ (* y (cosh x)) z) x) (/ (* y (cosh x)) z) (* y (cosh x)) (cosh x) (/ (* (cosh x) (/ y x)) z) (* (cosh x) (/ y x)) (* (+ (* x 1/2) (/ 1 x)) y) (+ (* x 1/2) (/ 1 x)) (/ (* (cosh x) (/ y x)) z) (* (/ (+ (* (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (* x x)) 1) z) (/ y x)) (/ (+ (* (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (* x x)) 1) z) (+ (* (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (* x x)) 1) (/ (* (cosh x) (/ y x)) z) (* (+ (* (+ (* (* x x) 1/24) 1/2) (* x x)) 1) y) (+ (* (+ (* (* x x) 1/24) 1/2) (* x x)) 1) (+ (* (* x x) 1/24) 1/2) (/ (* (cosh x) (/ y x)) z) (/ (+ (* (* (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) x) x) 1) z) (+ (* (* (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) x) x) 1) (* (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) x) (+ (* 1/24 (* x x)) 1/2) (+ (* (+ (* 1/24 (* x x)) 1/2) (* x x)) 1) (/ (* (+ (* (+ (* (* x x) 1/24) 1/2) (* x x)) 1) y) (* z x)) (* (/ (+ (* (* (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) x) x) 1) z) (/ y x)) (+ (* 1/720 (* x x)) 1/24))
5.0ms	y	@	-inf	((/ (/ (* y (cosh x)) z) x) (/ (* y (cosh x)) z) (* y (cosh x)) (cosh x) (/ (* (cosh x) (/ y x)) z) (* (cosh x) (/ y x)) (* (+ (* x 1/2) (/ 1 x)) y) (+ (* x 1/2) (/ 1 x)) (/ (* (cosh x) (/ y x)) z) (* (/ (+ (* (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (* x x)) 1) z) (/ y x)) (/ (+ (* (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (* x x)) 1) z) (+ (* (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (* x x)) 1) (/ (* (cosh x) (/ y x)) z) (* (+ (* (+ (* (* x x) 1/24) 1/2) (* x x)) 1) y) (+ (* (+ (* (* x x) 1/24) 1/2) (* x x)) 1) (+ (* (* x x) 1/24) 1/2) (/ (* (cosh x) (/ y x)) z) (/ (+ (* (* (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) x) x) 1) z) (+ (* (* (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) x) x) 1) (* (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) x) (+ (* 1/24 (* x x)) 1/2) (+ (* (+ (* 1/24 (* x x)) 1/2) (* x x)) 1) (/ (* (+ (* (+ (* (* x x) 1/24) 1/2) (* x x)) 1) y) (* z x)) (* (/ (+ (* (* (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) x) x) 1) z) (/ y x)) (+ (* 1/720 (* x x)) 1/24))
4.0ms	z	@	-inf	((/ (/ (* y (cosh x)) z) x) (/ (* y (cosh x)) z) (* y (cosh x)) (cosh x) (/ (* (cosh x) (/ y x)) z) (* (cosh x) (/ y x)) (* (+ (* x 1/2) (/ 1 x)) y) (+ (* x 1/2) (/ 1 x)) (/ (* (cosh x) (/ y x)) z) (* (/ (+ (* (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (* x x)) 1) z) (/ y x)) (/ (+ (* (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (* x x)) 1) z) (+ (* (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (* x x)) 1) (/ (* (cosh x) (/ y x)) z) (* (+ (* (+ (* (* x x) 1/24) 1/2) (* x x)) 1) y) (+ (* (+ (* (* x x) 1/24) 1/2) (* x x)) 1) (+ (* (* x x) 1/24) 1/2) (/ (* (cosh x) (/ y x)) z) (/ (+ (* (* (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) x) x) 1) z) (+ (* (* (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) x) x) 1) (* (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) x) (+ (* 1/24 (* x x)) 1/2) (+ (* (+ (* 1/24 (* x x)) 1/2) (* x x)) 1) (/ (* (+ (* (+ (* (* x x) 1/24) 1/2) (* x x)) 1) y) (* z x)) (* (/ (+ (* (* (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) x) x) 1) z) (/ y x)) (+ (* 1/720 (* x x)) 1/24))
4.0ms	y	@	0	((/ (/ (* y (cosh x)) z) x) (/ (* y (cosh x)) z) (* y (cosh x)) (cosh x) (/ (* (cosh x) (/ y x)) z) (* (cosh x) (/ y x)) (* (+ (* x 1/2) (/ 1 x)) y) (+ (* x 1/2) (/ 1 x)) (/ (* (cosh x) (/ y x)) z) (* (/ (+ (* (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (* x x)) 1) z) (/ y x)) (/ (+ (* (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (* x x)) 1) z) (+ (* (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (* x x)) 1) (/ (* (cosh x) (/ y x)) z) (* (+ (* (+ (* (* x x) 1/24) 1/2) (* x x)) 1) y) (+ (* (+ (* (* x x) 1/24) 1/2) (* x x)) 1) (+ (* (* x x) 1/24) 1/2) (/ (* (cosh x) (/ y x)) z) (/ (+ (* (* (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) x) x) 1) z) (+ (* (* (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) x) x) 1) (* (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) x) (+ (* 1/24 (* x x)) 1/2) (+ (* (+ (* 1/24 (* x x)) 1/2) (* x x)) 1) (/ (* (+ (* (+ (* (* x x) 1/24) 1/2) (* x x)) 1) y) (* z x)) (* (/ (+ (* (* (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) x) x) 1) z) (/ y x)) (+ (* 1/720 (* x x)) 1/24))

simplify210.0ms (1.9%)

Memory

11.1MiB live, 240.7MiB allocated

Algorithm

1×	egg-herbie

Rules

13 714×	`lower-fma.f64`
13 714×	`lower-fma.f32`
5 234×	`lower-*.f64`
5 234×	`lower-*.f32`
2 742×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	237	8690
1	789	8684
2	2473	8416
3	5758	8350
0	8151	7862

Stop Event

1×	iter limit
1×	node limit

Counts

588 → 586

Calls

Call 1

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

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

rewrite231.0ms (2.1%)

Memory

11.6MiB live, 419.9MiB allocated

Rules

5 190×	`lower-/.f32`
5 176×	`lower-/.f64`
4 402×	`lower-*.f32`
4 384×	`lower-*.f64`
4 086×	`lower-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	52	449
0	86	445
1	334	445
2	2043	445
0	8142	441

Stop Event

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

Counts

25 → 918

Calls

Call 1

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

Outputs
(.f64 (/.f64 (.f64 #s(approx (cosh x) (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (.f64 x x) #s(literal 1 binary64))) (/.f64 y z)) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) x))
(.f64 (/.f64 (neg.f64 #s(approx (cosh x) (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))) #s(literal -1 binary64)) (/.f64 (/.f64 y x) z))
(.f64 (/.f64 (.f64 #s(approx (cosh x) (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (.f64 x x) #s(literal 1 binary64))) y) (neg.f64 x)) (/.f64 #s(literal -1 binary64) z))
(.f64 (/.f64 #s(approx (cosh x) (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) (neg.f64 z)) (/.f64 (neg.f64 y) x))
(.f64 (/.f64 #s(approx (cosh x) (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) (neg.f64 x)) (/.f64 (neg.f64 y) z))
(.f64 (/.f64 (neg.f64 #s(approx (cosh x) (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))) x) (/.f64 y (neg.f64 z)))
(.f64 (/.f64 (neg.f64 #s(approx (cosh x) (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))) z) (/.f64 y (neg.f64 x)))
(.f64 (/.f64 (pow.f64 x #s(literal -1/2 binary64)) z) (/.f64 (pow.f64 x #s(literal -1/2 binary64)) (pow.f64 (.f64 #s(approx (cosh x) (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (.f64 x x) #s(literal 1 binary64))) y) #s(literal -1 binary64))))
(.f64 (/.f64 (.f64 (neg.f64 y) #s(approx (cosh x) (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (.f64 x x) #s(literal 1 binary64)))) x) (/.f64 (pow.f64 (neg.f64 z) #s(literal -1 binary64)) #s(literal 1 binary64)))
(.f64 (/.f64 (.f64 (neg.f64 y) #s(approx (cosh x) (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (.f64 x x) #s(literal 1 binary64)))) x) (pow.f64 (neg.f64 z) #s(literal -1 binary64)))
(.f64 (/.f64 (neg.f64 y) #s(literal -1 binary64)) (/.f64 (/.f64 #s(approx (cosh x) (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) z) x))
(.f64 (/.f64 (neg.f64 y) #s(literal -1 binary64)) (/.f64 #s(approx (cosh x) (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (.f64 x x) #s(literal 1 binary64))) (.f64 z x)))
(.f64 (/.f64 #s(literal -1 binary64) z) (/.f64 (.f64 #s(approx (cosh x) (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (.f64 x x) #s(literal 1 binary64))) y) (neg.f64 x)))
(.f64 (/.f64 #s(literal -1 binary64) z) (/.f64 (/.f64 #s(literal -1 binary64) x) (pow.f64 (.f64 #s(approx (cosh x) (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (.f64 x x) #s(literal 1 binary64))) y) #s(literal -1 binary64))))
(.f64 (/.f64 (neg.f64 y) z) (/.f64 #s(approx (cosh x) (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) (neg.f64 x)))
(.f64 (/.f64 y (neg.f64 z)) (/.f64 (neg.f64 #s(approx (cosh x) (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))) x))
(.f64 (/.f64 (.f64 (neg.f64 y) #s(approx (cosh x) (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (.f64 x x) #s(literal 1 binary64)))) #s(literal -1 binary64)) (pow.f64 (*.f64 z x) #s(literal -1 binary64)))
(.f64 (/.f64 (.f64 #s(approx (cosh x) (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (.f64 x x) #s(literal 1 binary64))) y) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (*.f64 z x)))
(.f64 (/.f64 (.f64 #s(approx (cosh x) (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (.f64 x x) #s(literal 1 binary64))) y) #s(literal -1 binary64)) (/.f64 (neg.f64 (pow.f64 z #s(literal -1 binary64))) x))
(.f64 (/.f64 #s(approx (cosh x) (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (.f64 x x) #s(literal 1 binary64))) #s(literal -1 binary64)) (/.f64 (neg.f64 y) (.f64 z x)))
(.f64 (/.f64 y #s(literal -1 binary64)) (/.f64 (neg.f64 #s(approx (cosh x) (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (.f64 x x) #s(literal 1 binary64)))) (.f64 z x)))
(.f64 (/.f64 y #s(literal -1 binary64)) (/.f64 (neg.f64 (/.f64 #s(approx (cosh x) (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) z)) x))
(.f64 (pow.f64 (/.f64 x (.f64 (neg.f64 y) #s(approx (cosh x) (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (.f64 x x) #s(literal 1 binary64))))) #s(literal -1 binary64)) (pow.f64 (neg.f64 z) #s(literal -1 binary64)))
(.f64 (pow.f64 (/.f64 x (.f64 #s(approx (cosh x) (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (.f64 x x) #s(literal 1 binary64))) y)) #s(literal -1 binary64)) (pow.f64 z #s(literal -1 binary64)))
(.f64 (/.f64 (/.f64 #s(approx (cosh x) (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) z) x) (/.f64 y #s(literal 1 binary64)))
(.f64 (/.f64 (.f64 #s(approx (cosh x) (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (.f64 x x) #s(literal 1 binary64))) y) x) (/.f64 (pow.f64 z #s(literal -1 binary64)) #s(literal 1 binary64)))
(.f64 (/.f64 (.f64 #s(approx (cosh x) (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (.f64 x x) #s(literal 1 binary64))) y) x) (pow.f64 z #s(literal -1 binary64)))
(.f64 (.f64 (.f64 (neg.f64 y) #s(approx (cosh x) (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))) (pow.f64 x #s(literal -1 binary64))) (pow.f64 (neg.f64 z) #s(literal -1 binary64)))
(.f64 (.f64 (.f64 #s(approx (cosh x) (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) (/.f64 y z)) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) x))
(.f64 (.f64 (.f64 #s(approx (cosh x) (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) (/.f64 y z)) #s(literal 1 binary64)) (pow.f64 x #s(literal -1 binary64)))
(.f64 (/.f64 (neg.f64 y) x) (/.f64 #s(approx (cosh x) (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) (neg.f64 z)))
(.f64 (/.f64 y (neg.f64 x)) (/.f64 (neg.f64 #s(approx (cosh x) (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))) z))
(.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 (.f64 (neg.f64 y) #s(approx (cosh x) (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (.f64 x x) #s(literal 1 binary64)))) z))
(.f64 (/.f64 #s(approx (cosh x) (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) x) (/.f64 (/.f64 y z) #s(literal 1 binary64)))
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(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (neg.f64 z) (/.f64 x y)) (.f64 (neg.f64 (fma.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x) x #s(literal 1 binary64))) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (neg.f64 z) x) (.f64 (neg.f64 (fma.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x) x #s(literal 1 binary64))) y)))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (neg.f64 z) x) (.f64 (fma.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x) x #s(literal 1 binary64)) (neg.f64 y))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 z (/.f64 x y)) (.f64 (fma.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x) x #s(literal 1 binary64)) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (neg.f64 x) (neg.f64 z)) (.f64 (neg.f64 y) (neg.f64 (fma.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x) x #s(literal 1 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (neg.f64 z) x) (.f64 (neg.f64 y) (fma.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x) x #s(literal 1 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (/.f64 x y) (neg.f64 z)) (.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x) x #s(literal 1 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (/.f64 x y) z) (fma.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (.f64 x x) #s(literal 1/24 binary64)) (.f64 x x) #s(literal 1/2 binary64)) x) x #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (neg.f64 z) x) (.f64 y (neg.f64 (fma.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x) x #s(literal 1 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (neg.f64 x) (/.f64 z (fma.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (.f64 x x) #s(literal 1/24 binary64)) (.f64 x x) #s(literal 1/2 binary64)) x) x #s(literal 1 binary64)))) (*.f64 (neg.f64 y) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 x (/.f64 z (fma.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (.f64 x x) #s(literal 1/24 binary64)) (.f64 x x) #s(literal 1/2 binary64)) x) x #s(literal 1 binary64)))) (*.f64 y #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (/.f64 z (fma.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (.f64 x x) #s(literal 1/24 binary64)) (.f64 x x) #s(literal 1/2 binary64)) x) x #s(literal 1 binary64))) (neg.f64 x)) (*.f64 #s(literal 1 binary64) (neg.f64 y))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (/.f64 z (fma.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (.f64 x x) #s(literal 1/24 binary64)) (.f64 x x) #s(literal 1/2 binary64)) x) x #s(literal 1 binary64))) x) (*.f64 #s(literal 1 binary64) y)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 x y) (/.f64 (fma.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x) x #s(literal 1 binary64)) z)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 z (fma.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x) x #s(literal 1 binary64))) (/.f64 y x)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 z (/.f64 (.f64 (fma.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (.f64 x x) #s(literal 1/24 binary64)) (.f64 x x) #s(literal 1/2 binary64)) x) x #s(literal 1 binary64)) y) x)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 z (/.f64 (.f64 (fma.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (.f64 x x) #s(literal 1/24 binary64)) (.f64 x x) #s(literal 1/2 binary64)) x) x #s(literal 1 binary64)) y) x)))
(.f64 (-.f64 #s(literal 1/576 binary64) (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/518400 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/24 binary64) (.f64 #s(literal 1/720 binary64) (.f64 x x)))))
(.f64 (neg.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/518400 binary64) #s(literal -1/576 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 #s(literal 1/720 binary64) (.f64 x x) #s(literal -1/24 binary64)))))
(.f64 (neg.f64 (fma.f64 #s(literal 1/373248000 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 1/13824 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/518400 binary64) (-.f64 #s(literal 1/576 binary64) (.f64 (*.f64 x x) #s(literal 1/17280 binary64)))))))
(.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/518400 binary64) #s(literal -1/576 binary64)) (pow.f64 (fma.f64 #s(literal 1/720 binary64) (.f64 x x) #s(literal -1/24 binary64)) #s(literal -1 binary64)))
(.f64 (fma.f64 #s(literal 1/373248000 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 1/13824 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/576 binary64) (-.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/518400 binary64)) (.f64 (.f64 x x) #s(literal 1/17280 binary64))))))
(.f64 (fma.f64 #s(literal 1/373248000 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 1/13824 binary64)) (pow.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/518400 binary64) (-.f64 #s(literal 1/576 binary64) (.f64 (*.f64 x x) #s(literal 1/17280 binary64)))) #s(literal -1 binary64)))
(.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/720 binary64) (.f64 x x) #s(literal 1/24 binary64)))
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64))) #s(literal -1 binary64))
(/.f64 (-.f64 (pow.f64 (/.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/518400 binary64)) (fma.f64 #s(literal 1/720 binary64) (.f64 x x) #s(literal -1/24 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1/576 binary64) (fma.f64 #s(literal 1/720 binary64) (.f64 x x) #s(literal -1/24 binary64))) #s(literal 3 binary64))) (fma.f64 (/.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/518400 binary64)) (fma.f64 #s(literal 1/720 binary64) (.f64 x x) #s(literal -1/24 binary64))) (/.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/518400 binary64)) (fma.f64 #s(literal 1/720 binary64) (.f64 x x) #s(literal -1/24 binary64))) (fma.f64 (/.f64 #s(literal 1/576 binary64) (fma.f64 #s(literal 1/720 binary64) (.f64 x x) #s(literal -1/24 binary64))) (/.f64 #s(literal 1/576 binary64) (fma.f64 #s(literal 1/720 binary64) (.f64 x x) #s(literal -1/24 binary64))) (.f64 (/.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/518400 binary64)) (fma.f64 #s(literal 1/720 binary64) (.f64 x x) #s(literal -1/24 binary64))) (/.f64 #s(literal 1/576 binary64) (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal -1/24 binary64)))))))
(/.f64 (neg.f64 (-.f64 #s(literal 1/576 binary64) (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/518400 binary64)))) (neg.f64 (-.f64 #s(literal 1/24 binary64) (.f64 #s(literal 1/720 binary64) (*.f64 x x)))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/518400 binary64) #s(literal -1/576 binary64)))) (neg.f64 (neg.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal -1/24 binary64)))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal 1/373248000 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 1/13824 binary64)))) (neg.f64 (neg.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/518400 binary64) (-.f64 #s(literal 1/576 binary64) (.f64 (.f64 x x) #s(literal 1/17280 binary64)))))))
(/.f64 (-.f64 (.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/518400 binary64)) (fma.f64 #s(literal 1/720 binary64) (.f64 x x) #s(literal -1/24 binary64))) (.f64 (fma.f64 #s(literal 1/720 binary64) (.f64 x x) #s(literal -1/24 binary64)) #s(literal 1/576 binary64))) (.f64 (fma.f64 #s(literal 1/720 binary64) (.f64 x x) #s(literal -1/24 binary64)) (fma.f64 #s(literal 1/720 binary64) (.f64 x x) #s(literal -1/24 binary64))))
(/.f64 (-.f64 #s(literal 1/576 binary64) (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/518400 binary64))) (-.f64 #s(literal 1/24 binary64) (.f64 #s(literal 1/720 binary64) (*.f64 x x))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/518400 binary64) #s(literal -1/576 binary64))) (neg.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal -1/24 binary64))))
(/.f64 (neg.f64 (fma.f64 #s(literal 1/373248000 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 1/13824 binary64))) (neg.f64 (+.f64 #s(literal 1/576 binary64) (-.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/518400 binary64)) (.f64 (*.f64 x x) #s(literal 1/17280 binary64))))))
(/.f64 (neg.f64 (fma.f64 #s(literal 1/373248000 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 1/13824 binary64))) (neg.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/518400 binary64) (-.f64 #s(literal 1/576 binary64) (.f64 (.f64 x x) #s(literal 1/17280 binary64))))))
(/.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/518400 binary64) #s(literal -1/576 binary64)) (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal -1/24 binary64)))
(/.f64 (fma.f64 #s(literal 1/373248000 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 1/13824 binary64)) (+.f64 #s(literal 1/576 binary64) (-.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/518400 binary64)) (.f64 (*.f64 x x) #s(literal 1/17280 binary64)))))
(/.f64 (fma.f64 #s(literal 1/373248000 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 1/13824 binary64)) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/518400 binary64) (-.f64 #s(literal 1/576 binary64) (.f64 (.f64 x x) #s(literal 1/17280 binary64)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/24 binary64) (.f64 #s(literal 1/720 binary64) (.f64 x x))) (-.f64 #s(literal 1/576 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/518400 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/576 binary64) (-.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/518400 binary64)) (.f64 (*.f64 x x) #s(literal 1/17280 binary64)))) (fma.f64 #s(literal 1/373248000 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 1/13824 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64))))
(fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal 1/24 binary64))
(fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64))
(fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))
(fma.f64 x (*.f64 #s(literal 1/720 binary64) x) #s(literal 1/24 binary64))
(-.f64 (/.f64 #s(literal 1/576 binary64) (-.f64 #s(literal 1/24 binary64) (.f64 #s(literal 1/720 binary64) (.f64 x x)))) (/.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/518400 binary64)) (-.f64 #s(literal 1/24 binary64) (.f64 #s(literal 1/720 binary64) (*.f64 x x)))))
(-.f64 (/.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/518400 binary64)) (fma.f64 #s(literal 1/720 binary64) (.f64 x x) #s(literal -1/24 binary64))) (/.f64 #s(literal 1/576 binary64) (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal -1/24 binary64))))
(+.f64 (.f64 #s(literal 1/720 binary64) (.f64 x x)) #s(literal 1/24 binary64))
(+.f64 #s(literal 1/24 binary64) (.f64 #s(literal 1/720 binary64) (.f64 x x)))

eval228.0ms (2.1%)

Memory: 34.1MiB live, 599.0MiB allocated
Compiler: Compiled 35 793 to 3 791 computations (89.4% saved)

prune539.0ms (4.9%)

Memory

-217.4MiB live, 568.3MiB allocated

Pruning

39 alts after pruning (35 fresh and 4 done)

	Pruned	Kept	Total
New	1 486	18	1 504
Fresh	4	17	21
Picked	4	1	5
Done	0	3	3
Total	1 494	39	1 533

Accuracy

100.0%

Counts

1 533 → 39

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	96.5%	(/.f64 (/.f64 (*.f64 y (cosh.f64 x)) z) x)
▶	88.2%	(/.f64 (/.f64 (.f64 y #s(approx (cosh x) (fma.f64 (fma.f64 (.f64 #s(literal 1/24 binary64) x) x #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))) z) x)
	81.3%	(/.f64 (/.f64 (.f64 y #s(approx (cosh x) (fma.f64 (.f64 x #s(literal 1/2 binary64)) x #s(literal 1 binary64)))) z) x)
	88.2%	(/.f64 (/.f64 (.f64 y #s(approx (cosh x) (fma.f64 #s(approx (+ ( 1/24 (* x x)) 1/2) (.f64 #s(literal 1/24 binary64) (.f64 x x))) (*.f64 x x) #s(literal 1 binary64)))) z) x)
	80.3%	(/.f64 (.f64 (cosh.f64 x) y) (.f64 z x))
	74.3%	(/.f64 (.f64 #s(approx (cosh x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) (/.f64 y x)) z)
	67.6%	(/.f64 (.f64 #s(approx (cosh x) (fma.f64 (.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) (/.f64 y x)) z)
	53.0%	(/.f64 #s(approx (/ (* y (cosh x)) z) (/.f64 y z)) x)
	77.1%	(/.f64 #s(approx (/ (* y (cosh x)) z) (.f64 (fma.f64 (.f64 x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) (/.f64 y z))) x)
	43.2%	(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (-.f64 (.f64 (/.f64 y x) (/.f64 y x)) (.f64 (.f64 (.f64 #s(literal 1/2 binary64) x) y) (.f64 (.f64 #s(literal 1/2 binary64) x) y))) (-.f64 (/.f64 y x) (.f64 (.f64 #s(literal 1/2 binary64) x) y)))) z)
	79.2%	(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (.f64 (fma.f64 (.f64 x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) y) x)) z)
✓	49.7%	(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 y x)) z)
	49.7%	(/.f64 #s(approx (* (cosh x) (/ y x)) (.f64 #s(approx (+ ( x 1/2) (/ 1 x)) (/.f64 #s(literal 1 binary64) x)) y)) z)
✓	23.5%	(/.f64 #s(approx (* (cosh x) (/ y x)) (.f64 #s(approx (+ ( x 1/2) (/ 1 x)) (*.f64 x #s(literal 1/2 binary64))) y)) z)
	23.5%	(/.f64 #s(literal 1 binary64) (/.f64 z #s(approx (* (cosh x) (/ y x)) (.f64 #s(approx (+ ( x 1/2) (/ 1 x)) (*.f64 #s(literal 1/2 binary64) x)) y))))
	82.7%	(.f64 (/.f64 #s(approx (cosh x) (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) x) (/.f64 y z))
	68.9%	(.f64 #s(approx (cosh x) (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) (/.f64 (/.f64 y x) z))
▶	72.8%	(.f64 y (/.f64 #s(approx (cosh x) (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (.f64 x x) #s(literal 1 binary64))) (.f64 z x)))
▶	48.6%	#s(approx (/ (/ (* y (cosh x)) z) x) (/.f64 y (*.f64 z x)))
	70.1%	#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (fma.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (.f64 x x) #s(literal 1/24 binary64)) (.f64 x x) #s(literal 1/2 binary64)) x) x #s(literal 1 binary64)) (.f64 (/.f64 x y) z)))
▶	74.0%	#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (.f64 x x) #s(literal 1/24 binary64)) (.f64 x x) #s(literal 1/2 binary64)) (.f64 x x) #s(literal 1 binary64)) y) (*.f64 z x)))
	72.5%	#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/24 binary64) x) x #s(literal 1/2 binary64)) (.f64 x x) #s(literal 1 binary64)) y) (.f64 z x)))
	74.0%	#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (.f64 (fma.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (.f64 x x) #s(literal 1/24 binary64)) (.f64 x x) #s(literal 1/2 binary64)) x) x #s(literal 1 binary64)) y) (*.f64 z x)))
	72.5%	#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (.f64 (fma.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) x) x #s(literal 1 binary64)) y) (.f64 z x)))
	72.5%	#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (.f64 (fma.f64 #s(approx (+ ( (* x x) 1/24) 1/2) (.f64 #s(literal 1/24 binary64) (.f64 x x))) (.f64 x x) #s(literal 1 binary64)) y) (.f64 z x)))
	66.8%	#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (.f64 (fma.f64 #s(approx (+ ( (* x x) 1/24) 1/2) #s(literal 1/2 binary64)) (.f64 x x) #s(literal 1 binary64)) y) (.f64 z x)))
▶	82.4%	#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (.f64 (/.f64 #s(approx (+ ( (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (* x x)) 1) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) x #s(literal 1 binary64))) z) y) x))
	60.1%	#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (fma.f64 x #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) (/.f64 y z)))
	76.9%	#s(approx (/ (* (cosh x) (/ y x)) z) (.f64 (/.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/720 binary64) x) x #s(literal 1/24 binary64)) (.f64 x x) #s(literal 1/2 binary64)) (.f64 x x) #s(literal 1 binary64)) z) (/.f64 y x)))
	83.9%	#s(approx (/ (* (cosh x) (/ y x)) z) (.f64 (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (.f64 x x) #s(literal 1/24 binary64)) (.f64 x x) #s(literal 1/2 binary64)) (.f64 x x) #s(literal 1 binary64)) x) (/.f64 y z)))
	76.9%	#s(approx (/ (* (cosh x) (/ y x)) z) (.f64 (/.f64 (fma.f64 (.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/720 binary64) x) x #s(literal 1/24 binary64)) (.f64 x x) #s(literal 1/2 binary64)) x) x #s(literal 1 binary64)) z) (/.f64 y x)))
	76.9%	#s(approx (/ (* (cosh x) (/ y x)) z) (.f64 (/.f64 (fma.f64 (.f64 (fma.f64 #s(approx (+ (* 1/720 (* x x)) 1/24) (.f64 #s(literal 1/720 binary64) (.f64 x x))) (*.f64 x x) #s(literal 1/2 binary64)) x) x #s(literal 1 binary64)) z) (/.f64 y x)))
✓	86.1%	#s(approx (/ (* (cosh x) (/ y x)) z) (.f64 (/.f64 (/.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) z) x) y))
	48.6%	#s(approx (/ (* (cosh x) (/ y x)) z) (.f64 (/.f64 #s(approx (/ (+ ( (+ (* 1/24 (* x x)) 1/2) (* x x)) 1) z) (/.f64 #s(literal 1 binary64) z)) x) y))
	76.9%	#s(approx (/ (* (cosh x) (/ y x)) z) (.f64 (/.f64 #s(literal 1 binary64) (/.f64 z (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (.f64 x x) #s(literal 1/24 binary64)) (.f64 x x) #s(literal 1/2 binary64)) (.f64 x x) #s(literal 1 binary64)))) (/.f64 y x)))
	82.4%	#s(approx (/ (* (cosh x) (/ y x)) z) (.f64 (.f64 (/.f64 #s(approx (+ (* (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (* x x)) 1) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) x #s(literal 1 binary64))) z) (neg.f64 y)) (/.f64 #s(literal -1 binary64) x)))
	72.8%	#s(approx (/ (* (cosh x) (/ y x)) z) (.f64 (.f64 (neg.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (.f64 x x) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 (neg.f64 z) x))) y))
	75.8%	#s(approx (/ (* (cosh x) (/ y x)) z) (.f64 #s(approx (/ (+ ( (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (* x x)) 1) z) (fma.f64 (fma.f64 (/.f64 (.f64 x x) z) (fma.f64 #s(literal 1/720 binary64) (.f64 x x) #s(literal 1/24 binary64)) (/.f64 #s(literal 1/2 binary64) z)) (*.f64 x x) (/.f64 #s(literal 1 binary64) z))) (/.f64 y x)))
	63.0%	#s(approx (/ (* (cosh x) (/ y x)) z) (.f64 #s(approx (+ ( (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (* x x)) 1) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) x #s(literal 1 binary64))) (/.f64 (/.f64 y x) z)))

Compiler

Compiled 1 243 to 931 computations (25.1% saved)

simplify127.0ms (1.2%)

Memory

28.0MiB live, 183.4MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

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

Rules

9 286×	`lower-fma.f32`
9 272×	`lower-fma.f64`
4 044×	`lower-*.f32`
4 028×	`lower-*.f64`
2 066×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	50	476
0	83	476
1	157	476
2	270	476
3	503	476
4	1269	476
5	3055	474
6	5853	474
7	7287	474
8	7790	474
0	8102	472

Stop Event

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

Calls

Call 1

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

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

localize165.0ms (1.5%)

Memory

-5.1MiB live, 235.1MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score
accuracy	0.2906051923223798	(fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64))
accuracy	0.938678488834175	(.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (.f64 x x) #s(literal 1/24 binary64)) (.f64 x x) #s(literal 1/2 binary64)) (.f64 x x) #s(literal 1 binary64)) y)
accuracy	6.936538516783074	#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (.f64 x x) #s(literal 1/24 binary64)) (.f64 x x) #s(literal 1/2 binary64)) (.f64 x x) #s(literal 1 binary64)) y) (*.f64 z x)))
accuracy	11.94856769221174	(/.f64 (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (.f64 x x) #s(literal 1/24 binary64)) (.f64 x x) #s(literal 1/2 binary64)) (.f64 x x) #s(literal 1 binary64)) y) (*.f64 z x))
accuracy	0.09765625	(fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64))
accuracy	3.602028909803871	(.f64 y (/.f64 #s(approx (cosh x) (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (.f64 x x) #s(literal 1 binary64))) (.f64 z x)))
accuracy	7.158748455015912	#s(approx (cosh x) (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (.f64 x x) #s(literal 1 binary64)))
accuracy	7.250000000000001	(/.f64 #s(approx (cosh x) (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (.f64 x x) #s(literal 1 binary64))) (*.f64 z x))
accuracy	1.2772684796229035	(.f64 (/.f64 #s(approx (+ ( (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (* x x)) 1) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) x #s(literal 1 binary64))) z) y)
accuracy	2.9767650581609253	(/.f64 (.f64 (/.f64 #s(approx (+ ( (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (* x x)) 1) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) x #s(literal 1 binary64))) z) y) x)
accuracy	6.936538516783074	#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (.f64 (/.f64 #s(approx (+ ( (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (* x x)) 1) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) x #s(literal 1 binary64))) z) y) x))
accuracy	13.122912524957314	#s(approx (+ (* (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (* x x)) 1) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) x #s(literal 1 binary64)))
accuracy	0	(*.f64 z x)
accuracy	6.083018473812253	(/.f64 y (*.f64 z x))
accuracy	29.265440316950826	#s(approx (/ (/ (* y (cosh x)) z) x) (/.f64 y (*.f64 z x)))
accuracy	0.0546875	(fma.f64 (*.f64 #s(literal 1/24 binary64) x) x #s(literal 1/2 binary64))
accuracy	0.3359375	(*.f64 #s(literal 1/24 binary64) x)
accuracy	2.257997983028115	(/.f64 (/.f64 (.f64 y #s(approx (cosh x) (fma.f64 (fma.f64 (.f64 #s(literal 1/24 binary64) x) x #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))) z) x)
accuracy	7.158748455015912	#s(approx (cosh x) (fma.f64 (fma.f64 (.f64 #s(literal 1/24 binary64) x) x #s(literal 1/2 binary64)) (.f64 x x) #s(literal 1 binary64)))

Samples

124.0ms

256×

valid

Compiler

Compiled 338 to 44 computations (87% saved)

Precisions

Click to see histograms. Total time spent on operations: 61.0ms

ival-mult: 25.0ms (41% of total)

ival-div: 15.0ms (24.6% of total)

const: 9.0ms (14.8% of total)

ival-add: 8.0ms (13.1% of total)

ival-cosh: 3.0ms (4.9% of total)

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

exact: 0.0ms (0% of total)

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

series78.0ms (0.7%)

Memory

-9.6MiB live, 148.9MiB allocated

Counts

25 → 600

Calls

Call 1

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

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

Calls

9 calls:

Time	Variable		Point	Expression
11.0ms	z	@	inf	((/ (/ (* y (cosh x)) z) x) (/ (* y (cosh x)) z) (* y (cosh x)) (cosh x) (/ (/ (* y (cosh x)) z) x) (/ y (* z x)) (* z x) (/ (* (/ (+ (* (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (* x x)) 1) z) y) x) (/ (* (cosh x) (/ y x)) z) (* (/ (+ (* (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (* x x)) 1) z) y) (/ (+ (* (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (* x x)) 1) z) (* y (/ (cosh x) (* z x))) (/ (cosh x) (* z x)) (cosh x) (+ (* (+ (* (* x x) 1/24) 1/2) (* x x)) 1) (/ (* (cosh x) (/ y x)) z) (* (+ (* (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (* x x)) 1) y) (+ (* (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (* x x)) 1) (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (* 1/24 x) (+ (* (* 1/24 x) x) 1/2) (+ (* (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (* x x)) 1) (+ (* (* x x) 1/24) 1/2) (/ (* (+ (* (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (* x x)) 1) y) (* z x)) (+ (* 1/720 (* x x)) 1/24))
6.0ms	y	@	-inf	((/ (/ (* y (cosh x)) z) x) (/ (* y (cosh x)) z) (* y (cosh x)) (cosh x) (/ (/ (* y (cosh x)) z) x) (/ y (* z x)) (* z x) (/ (* (/ (+ (* (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (* x x)) 1) z) y) x) (/ (* (cosh x) (/ y x)) z) (* (/ (+ (* (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (* x x)) 1) z) y) (/ (+ (* (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (* x x)) 1) z) (* y (/ (cosh x) (* z x))) (/ (cosh x) (* z x)) (cosh x) (+ (* (+ (* (* x x) 1/24) 1/2) (* x x)) 1) (/ (* (cosh x) (/ y x)) z) (* (+ (* (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (* x x)) 1) y) (+ (* (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (* x x)) 1) (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (* 1/24 x) (+ (* (* 1/24 x) x) 1/2) (+ (* (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (* x x)) 1) (+ (* (* x x) 1/24) 1/2) (/ (* (+ (* (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (* x x)) 1) y) (* z x)) (+ (* 1/720 (* x x)) 1/24))
5.0ms	x	@	-inf	((/ (/ (* y (cosh x)) z) x) (/ (* y (cosh x)) z) (* y (cosh x)) (cosh x) (/ (/ (* y (cosh x)) z) x) (/ y (* z x)) (* z x) (/ (* (/ (+ (* (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (* x x)) 1) z) y) x) (/ (* (cosh x) (/ y x)) z) (* (/ (+ (* (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (* x x)) 1) z) y) (/ (+ (* (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (* x x)) 1) z) (* y (/ (cosh x) (* z x))) (/ (cosh x) (* z x)) (cosh x) (+ (* (+ (* (* x x) 1/24) 1/2) (* x x)) 1) (/ (* (cosh x) (/ y x)) z) (* (+ (* (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (* x x)) 1) y) (+ (* (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (* x x)) 1) (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (* 1/24 x) (+ (* (* 1/24 x) x) 1/2) (+ (* (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (* x x)) 1) (+ (* (* x x) 1/24) 1/2) (/ (* (+ (* (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (* x x)) 1) y) (* z x)) (+ (* 1/720 (* x x)) 1/24))
4.0ms	z	@	-inf	((/ (/ (* y (cosh x)) z) x) (/ (* y (cosh x)) z) (* y (cosh x)) (cosh x) (/ (/ (* y (cosh x)) z) x) (/ y (* z x)) (* z x) (/ (* (/ (+ (* (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (* x x)) 1) z) y) x) (/ (* (cosh x) (/ y x)) z) (* (/ (+ (* (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (* x x)) 1) z) y) (/ (+ (* (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (* x x)) 1) z) (* y (/ (cosh x) (* z x))) (/ (cosh x) (* z x)) (cosh x) (+ (* (+ (* (* x x) 1/24) 1/2) (* x x)) 1) (/ (* (cosh x) (/ y x)) z) (* (+ (* (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (* x x)) 1) y) (+ (* (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (* x x)) 1) (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (* 1/24 x) (+ (* (* 1/24 x) x) 1/2) (+ (* (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (* x x)) 1) (+ (* (* x x) 1/24) 1/2) (/ (* (+ (* (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (* x x)) 1) y) (* z x)) (+ (* 1/720 (* x x)) 1/24))
4.0ms	x	@	inf	((/ (/ (* y (cosh x)) z) x) (/ (* y (cosh x)) z) (* y (cosh x)) (cosh x) (/ (/ (* y (cosh x)) z) x) (/ y (* z x)) (* z x) (/ (* (/ (+ (* (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (* x x)) 1) z) y) x) (/ (* (cosh x) (/ y x)) z) (* (/ (+ (* (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (* x x)) 1) z) y) (/ (+ (* (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (* x x)) 1) z) (* y (/ (cosh x) (* z x))) (/ (cosh x) (* z x)) (cosh x) (+ (* (+ (* (* x x) 1/24) 1/2) (* x x)) 1) (/ (* (cosh x) (/ y x)) z) (* (+ (* (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (* x x)) 1) y) (+ (* (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (* x x)) 1) (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (* 1/24 x) (+ (* (* 1/24 x) x) 1/2) (+ (* (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (* x x)) 1) (+ (* (* x x) 1/24) 1/2) (/ (* (+ (* (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (* x x)) 1) y) (* z x)) (+ (* 1/720 (* x x)) 1/24))

simplify319.0ms (2.9%)

Memory

34.0MiB live, 384.0MiB allocated

Algorithm

1×	egg-herbie

Rules

34 090×	`lower-fma.f64`
34 090×	`lower-fma.f32`
5 940×	`lower-*.f64`
5 940×	`lower-*.f32`
3 158×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	206	8402
1	664	8398
2	1966	8154
3	5537	8142
0	8109	7685

Stop Event

1×	iter limit
1×	node limit

Counts

600 → 598

Calls

Call 1

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

rewrite583.0ms (5.3%)

Memory

-41.0MiB live, 367.5MiB allocated

Rules

6 508×	`lower-fma.f32`
6 494×	`lower-fma.f64`
4 510×	`lower-*.f32`
4 494×	`lower-*.f64`
4 434×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	50	414
0	83	414
1	314	414
2	1775	414
0	8595	414

Stop Event

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

Counts

25 → 817

Calls

Call 1

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

Outputs
(.f64 (pow.f64 (.f64 (/.f64 (/.f64 z y) #s(approx (cosh x) (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (.f64 x x) #s(literal 1 binary64)))) x) #s(literal -1/2 binary64)) (pow.f64 (.f64 (/.f64 (/.f64 z y) #s(approx (cosh x) (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))) x) #s(literal -1/2 binary64)))
(.f64 (/.f64 (.f64 (neg.f64 y) #s(approx (cosh x) (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (.f64 x x) #s(literal 1 binary64)))) #s(literal -1 binary64)) (pow.f64 (*.f64 z x) #s(literal -1 binary64)))
(.f64 (/.f64 (.f64 #s(approx (cosh x) (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (.f64 x x) #s(literal 1 binary64))) y) #s(literal -1 binary64)) (/.f64 (neg.f64 (pow.f64 z #s(literal -1 binary64))) x))
(.f64 (/.f64 (neg.f64 #s(approx (cosh x) (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (.f64 x x) #s(literal 1 binary64)))) #s(literal -1 binary64)) (/.f64 y (.f64 z x)))
(.f64 (/.f64 (neg.f64 y) #s(literal -1 binary64)) (/.f64 #s(approx (cosh x) (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (.f64 x x) #s(literal 1 binary64))) (.f64 z x)))
(.f64 (/.f64 #s(approx (cosh x) (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (.f64 x x) #s(literal 1 binary64))) #s(literal -1 binary64)) (/.f64 y (.f64 (neg.f64 z) x)))
(.f64 (/.f64 (neg.f64 y) z) (/.f64 #s(approx (cosh x) (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) (neg.f64 x)))
(.f64 (/.f64 #s(approx (cosh x) (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) (neg.f64 x)) (/.f64 (neg.f64 y) z))
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(-.f64 #s(literal 0 binary64) (.f64 (/.f64 (neg.f64 y) z) (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (.f64 x x) #s(literal 1/24 binary64)) (.f64 x x) #s(literal 1/2 binary64)) (.f64 x x) #s(literal 1 binary64)) x)))
(exp.f64 (.f64 (log.f64 (.f64 (/.f64 z y) (/.f64 x (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (.f64 x x) #s(literal 1/24 binary64)) (.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))))) #s(literal -1 binary64)))
(.f64 (-.f64 #s(literal 1/576 binary64) (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/518400 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/24 binary64) (.f64 #s(literal 1/720 binary64) (.f64 x x)))))
(.f64 (neg.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/518400 binary64) #s(literal -1/576 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 #s(literal 1/720 binary64) (.f64 x x) #s(literal -1/24 binary64)))))
(.f64 (neg.f64 (fma.f64 #s(literal 1/373248000 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 1/13824 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/518400 binary64) (-.f64 #s(literal 1/576 binary64) (.f64 (*.f64 x x) #s(literal 1/17280 binary64)))))))
(.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/518400 binary64) #s(literal -1/576 binary64)) (pow.f64 (fma.f64 #s(literal 1/720 binary64) (.f64 x x) #s(literal -1/24 binary64)) #s(literal -1 binary64)))
(.f64 (fma.f64 #s(literal 1/373248000 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 1/13824 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/576 binary64) (-.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/518400 binary64)) (.f64 (.f64 x x) #s(literal 1/17280 binary64))))))
(.f64 (fma.f64 #s(literal 1/373248000 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 1/13824 binary64)) (pow.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/518400 binary64) (-.f64 #s(literal 1/576 binary64) (.f64 (*.f64 x x) #s(literal 1/17280 binary64)))) #s(literal -1 binary64)))
(.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/720 binary64) (.f64 x x) #s(literal 1/24 binary64)))
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64))) #s(literal -1 binary64))
(/.f64 (-.f64 (.f64 (/.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/518400 binary64)) (fma.f64 #s(literal 1/720 binary64) (.f64 x x) #s(literal -1/24 binary64))) (/.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/518400 binary64)) (fma.f64 #s(literal 1/720 binary64) (.f64 x x) #s(literal -1/24 binary64)))) (.f64 (/.f64 #s(literal 1/576 binary64) (fma.f64 #s(literal 1/720 binary64) (.f64 x x) #s(literal -1/24 binary64))) (/.f64 #s(literal 1/576 binary64) (fma.f64 #s(literal 1/720 binary64) (.f64 x x) #s(literal -1/24 binary64))))) (+.f64 (/.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/518400 binary64)) (fma.f64 #s(literal 1/720 binary64) (.f64 x x) #s(literal -1/24 binary64))) (/.f64 #s(literal 1/576 binary64) (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal -1/24 binary64)))))
(/.f64 (-.f64 (pow.f64 (/.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/518400 binary64)) (fma.f64 #s(literal 1/720 binary64) (.f64 x x) #s(literal -1/24 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1/576 binary64) (fma.f64 #s(literal 1/720 binary64) (.f64 x x) #s(literal -1/24 binary64))) #s(literal 3 binary64))) (fma.f64 (/.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/518400 binary64)) (fma.f64 #s(literal 1/720 binary64) (.f64 x x) #s(literal -1/24 binary64))) (/.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/518400 binary64)) (fma.f64 #s(literal 1/720 binary64) (.f64 x x) #s(literal -1/24 binary64))) (fma.f64 (/.f64 #s(literal 1/576 binary64) (fma.f64 #s(literal 1/720 binary64) (.f64 x x) #s(literal -1/24 binary64))) (/.f64 #s(literal 1/576 binary64) (fma.f64 #s(literal 1/720 binary64) (.f64 x x) #s(literal -1/24 binary64))) (.f64 (/.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/518400 binary64)) (fma.f64 #s(literal 1/720 binary64) (.f64 x x) #s(literal -1/24 binary64))) (/.f64 #s(literal 1/576 binary64) (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal -1/24 binary64)))))))
(/.f64 (neg.f64 (-.f64 #s(literal 1/576 binary64) (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/518400 binary64)))) (neg.f64 (-.f64 #s(literal 1/24 binary64) (.f64 #s(literal 1/720 binary64) (*.f64 x x)))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/518400 binary64) #s(literal -1/576 binary64)))) (neg.f64 (neg.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal -1/24 binary64)))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal 1/373248000 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 1/13824 binary64)))) (neg.f64 (neg.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/518400 binary64) (-.f64 #s(literal 1/576 binary64) (.f64 (.f64 x x) #s(literal 1/17280 binary64)))))))
(/.f64 (-.f64 (.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/518400 binary64)) (fma.f64 #s(literal 1/720 binary64) (.f64 x x) #s(literal -1/24 binary64))) (.f64 (fma.f64 #s(literal 1/720 binary64) (.f64 x x) #s(literal -1/24 binary64)) #s(literal 1/576 binary64))) (.f64 (fma.f64 #s(literal 1/720 binary64) (.f64 x x) #s(literal -1/24 binary64)) (fma.f64 #s(literal 1/720 binary64) (.f64 x x) #s(literal -1/24 binary64))))
(/.f64 (-.f64 #s(literal 1/576 binary64) (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/518400 binary64))) (-.f64 #s(literal 1/24 binary64) (.f64 #s(literal 1/720 binary64) (*.f64 x x))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/518400 binary64) #s(literal -1/576 binary64))) (neg.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal -1/24 binary64))))
(/.f64 (neg.f64 (fma.f64 #s(literal 1/373248000 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 1/13824 binary64))) (neg.f64 (+.f64 #s(literal 1/576 binary64) (-.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/518400 binary64)) (.f64 (*.f64 x x) #s(literal 1/17280 binary64))))))
(/.f64 (neg.f64 (fma.f64 #s(literal 1/373248000 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 1/13824 binary64))) (neg.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/518400 binary64) (-.f64 #s(literal 1/576 binary64) (.f64 (.f64 x x) #s(literal 1/17280 binary64))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)))))
(/.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/518400 binary64) #s(literal -1/576 binary64)) (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal -1/24 binary64)))
(/.f64 (fma.f64 #s(literal 1/373248000 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 1/13824 binary64)) (+.f64 #s(literal 1/576 binary64) (-.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/518400 binary64)) (.f64 (*.f64 x x) #s(literal 1/17280 binary64)))))
(/.f64 (fma.f64 #s(literal 1/373248000 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 1/13824 binary64)) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/518400 binary64) (-.f64 #s(literal 1/576 binary64) (.f64 (.f64 x x) #s(literal 1/17280 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/24 binary64) (.f64 #s(literal 1/720 binary64) (.f64 x x))) (-.f64 #s(literal 1/576 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/518400 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/576 binary64) (-.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/518400 binary64)) (.f64 (*.f64 x x) #s(literal 1/17280 binary64)))) (fma.f64 #s(literal 1/373248000 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 1/13824 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64))))
(fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal 1/24 binary64))
(fma.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/518400 binary64)) (pow.f64 (fma.f64 #s(literal 1/720 binary64) (.f64 x x) #s(literal -1/24 binary64)) #s(literal -1 binary64)) (neg.f64 (/.f64 #s(literal 1/576 binary64) (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal -1/24 binary64)))))
(fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64))
(fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))
(fma.f64 x (*.f64 #s(literal 1/720 binary64) x) #s(literal 1/24 binary64))
(-.f64 (/.f64 #s(literal 1/576 binary64) (-.f64 #s(literal 1/24 binary64) (.f64 #s(literal 1/720 binary64) (.f64 x x)))) (/.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/518400 binary64)) (-.f64 #s(literal 1/24 binary64) (.f64 #s(literal 1/720 binary64) (*.f64 x x)))))
(-.f64 (/.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/518400 binary64)) (fma.f64 #s(literal 1/720 binary64) (.f64 x x) #s(literal -1/24 binary64))) (/.f64 #s(literal 1/576 binary64) (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal -1/24 binary64))))
(+.f64 (/.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/518400 binary64)) (fma.f64 #s(literal 1/720 binary64) (.f64 x x) #s(literal -1/24 binary64))) (neg.f64 (/.f64 #s(literal 1/576 binary64) (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal -1/24 binary64)))))
(+.f64 (.f64 #s(literal 1/720 binary64) (.f64 x x)) #s(literal 1/24 binary64))
(+.f64 #s(literal 1/24 binary64) (.f64 #s(literal 1/720 binary64) (.f64 x x)))

eval533.0ms (4.9%)

Memory: 10.3MiB live, 414.4MiB allocated
Compiler: Compiled 34 862 to 3 284 computations (90.6% saved)

prune532.0ms (4.8%)

Memory

-13.0MiB live, 347.6MiB allocated

Pruning

42 alts after pruning (35 fresh and 7 done)

	Pruned	Kept	Total
New	1 464	17	1 481
Fresh	12	18	30
Picked	2	3	5
Done	0	4	4
Total	1 478	42	1 520

Accuracy

100.0%

Counts

1 520 → 42

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	96.5%	(/.f64 (/.f64 (*.f64 y (cosh.f64 x)) z) x)
✓	88.2%	(/.f64 (/.f64 (.f64 y #s(approx (cosh x) (fma.f64 (fma.f64 (.f64 #s(literal 1/24 binary64) x) x #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))) z) x)
	81.3%	(/.f64 (/.f64 (.f64 y #s(approx (cosh x) (fma.f64 (.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)))) z) x)
	88.2%	(/.f64 (/.f64 (.f64 y #s(approx (cosh x) (fma.f64 #s(approx (+ ( (* 1/24 x) x) 1/2) (.f64 #s(literal 1/24 binary64) (.f64 x x))) (*.f64 x x) #s(literal 1 binary64)))) z) x)
	80.3%	(/.f64 (.f64 (cosh.f64 x) y) (.f64 z x))
	74.3%	(/.f64 (.f64 #s(approx (cosh x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) (/.f64 y x)) z)
	67.6%	(/.f64 (.f64 #s(approx (cosh x) (fma.f64 (.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) (/.f64 y x)) z)
	53.0%	(/.f64 #s(approx (/ (* y (cosh x)) z) (/.f64 y z)) x)
	43.2%	(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (-.f64 (.f64 (/.f64 y x) (/.f64 y x)) (.f64 (.f64 (.f64 #s(literal 1/2 binary64) x) y) (.f64 (.f64 #s(literal 1/2 binary64) x) y))) (-.f64 (/.f64 y x) (.f64 (.f64 #s(literal 1/2 binary64) x) y)))) z)
	79.2%	(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (.f64 (fma.f64 (.f64 x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) y) x)) z)
✓	49.7%	(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 y x)) z)
	49.7%	(/.f64 #s(approx (* (cosh x) (/ y x)) (.f64 #s(approx (+ ( x 1/2) (/ 1 x)) (/.f64 #s(literal 1 binary64) x)) y)) z)
✓	23.5%	(/.f64 #s(approx (* (cosh x) (/ y x)) (.f64 #s(approx (+ ( x 1/2) (/ 1 x)) (*.f64 x #s(literal 1/2 binary64))) y)) z)
	23.5%	(/.f64 #s(literal 1 binary64) (/.f64 z #s(approx (* (cosh x) (/ y x)) (.f64 #s(approx (+ ( x 1/2) (/ 1 x)) (*.f64 #s(literal 1/2 binary64) x)) y))))
	82.7%	(.f64 (/.f64 #s(approx (cosh x) (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) x) (/.f64 y z))
	68.9%	(.f64 #s(approx (cosh x) (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) (/.f64 (/.f64 y x) z))
	74.6%	(.f64 y (/.f64 #s(approx (cosh x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (.f64 x x) #s(literal 1/24 binary64)) (.f64 x x) #s(literal 1/2 binary64)) (.f64 x x) #s(literal 1 binary64))) (*.f64 z x)))
	72.8%	(.f64 y (/.f64 #s(approx (cosh x) (fma.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) x) x #s(literal 1 binary64))) (.f64 z x)))
	67.6%	(.f64 y (/.f64 #s(approx (cosh x) (fma.f64 (.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) (*.f64 z x)))
	72.8%	(.f64 y (/.f64 #s(approx (cosh x) (fma.f64 #s(approx (+ ( (* x x) 1/24) 1/2) (.f64 #s(literal 1/24 binary64) (.f64 x x))) (.f64 x x) #s(literal 1 binary64))) (.f64 z x)))
	48.6%	(.f64 y (/.f64 #s(approx (cosh x) #s(approx (+ ( (+ (* (* x x) 1/24) 1/2) (* x x)) 1) #s(literal 1 binary64))) (*.f64 z x)))
	72.8%	(.f64 y (.f64 (neg.f64 #s(approx (cosh x) (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (.f64 x x) #s(literal 1 binary64)))) (/.f64 #s(literal -1 binary64) (*.f64 z x))))
	86.4%	(.f64 y #s(approx (/ (cosh x) ( z x)) (/.f64 (fma.f64 (fma.f64 (/.f64 (.f64 x x) z) (fma.f64 #s(literal 1/720 binary64) (.f64 x x) #s(literal 1/24 binary64)) (/.f64 #s(literal 1/2 binary64) z)) (*.f64 x x) (/.f64 #s(literal 1 binary64) z)) x)))
	48.6%	(.f64 y #s(approx (/ (cosh x) ( z x)) (/.f64 (/.f64 #s(literal 1 binary64) z) x)))
✓	48.6%	#s(approx (/ (/ (* y (cosh x)) z) x) (/.f64 y (*.f64 z x)))
	52.9%	#s(approx (/ (/ (* y (cosh x)) z) x) (*.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 y (neg.f64 z))))
	70.1%	#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (fma.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (.f64 x x) #s(literal 1/24 binary64)) (.f64 x x) #s(literal 1/2 binary64)) x) x #s(literal 1 binary64)) (.f64 (/.f64 x y) z)))
	74.0%	#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/720 binary64) x) x #s(literal 1/24 binary64)) (.f64 x x) #s(literal 1/2 binary64)) (.f64 x x) #s(literal 1 binary64)) y) (*.f64 z x)))
	72.5%	#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/24 binary64) x) x #s(literal 1/2 binary64)) (.f64 x x) #s(literal 1 binary64)) y) (.f64 z x)))
	74.0%	#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (.f64 (fma.f64 (fma.f64 #s(approx (+ ( 1/720 (* x x)) 1/24) (.f64 #s(literal 1/720 binary64) (.f64 x x))) (.f64 x x) #s(literal 1/2 binary64)) (.f64 x x) #s(literal 1 binary64)) y) (*.f64 z x)))
	66.8%	#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (.f64 (fma.f64 #s(approx (+ ( (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) #s(literal 1/2 binary64)) (.f64 x x) #s(literal 1 binary64)) y) (.f64 z x)))
	72.5%	#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (.f64 (fma.f64 #s(approx (+ ( (* x x) 1/24) 1/2) (.f64 #s(literal 1/24 binary64) (.f64 x x))) (.f64 x x) #s(literal 1 binary64)) y) (.f64 z x)))
✓	82.4%	#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (.f64 (/.f64 #s(approx (+ ( (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (* x x)) 1) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) x #s(literal 1 binary64))) z) y) x))
	63.1%	#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 #s(approx (+ (* (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (* x x)) 1) (fma.f64 (.f64 #s(literal 1/2 binary64) x) x #s(literal 1 binary64))) (.f64 z (/.f64 x y))))
	76.2%	#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 #s(literal 1 binary64) (/.f64 z (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (.f64 x x) #s(literal 1/24 binary64)) (.f64 x x) #s(literal 1/2 binary64)) (.f64 x x) #s(literal 1 binary64)) (/.f64 y x)))))
	60.1%	#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (fma.f64 x #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) (/.f64 y z)))
	83.9%	#s(approx (/ (* (cosh x) (/ y x)) z) (.f64 (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (.f64 x x) #s(literal 1/24 binary64)) (.f64 x x) #s(literal 1/2 binary64)) (.f64 x x) #s(literal 1 binary64)) x) (/.f64 y z)))
	76.9%	#s(approx (/ (* (cosh x) (/ y x)) z) (.f64 (/.f64 (fma.f64 (.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/720 binary64) x) x #s(literal 1/24 binary64)) (.f64 x x) #s(literal 1/2 binary64)) x) x #s(literal 1 binary64)) z) (/.f64 y x)))
	76.9%	#s(approx (/ (* (cosh x) (/ y x)) z) (.f64 (/.f64 (fma.f64 (.f64 (fma.f64 #s(approx (+ (* 1/720 (* x x)) 1/24) (.f64 #s(literal 1/720 binary64) (.f64 x x))) (*.f64 x x) #s(literal 1/2 binary64)) x) x #s(literal 1 binary64)) z) (/.f64 y x)))
✓	86.1%	#s(approx (/ (* (cosh x) (/ y x)) z) (.f64 (/.f64 (/.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) z) x) y))
	82.4%	#s(approx (/ (* (cosh x) (/ y x)) z) (.f64 (.f64 (/.f64 #s(approx (+ (* (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (* x x)) 1) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) x #s(literal 1 binary64))) (neg.f64 z)) y) (/.f64 #s(literal -1 binary64) x)))
	63.0%	#s(approx (/ (* (cosh x) (/ y x)) z) (.f64 #s(approx (+ ( (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (* x x)) 1) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) x #s(literal 1 binary64))) (/.f64 (/.f64 y x) z)))

Compiler

Compiled 1 820 to 798 computations (56.2% saved)

regimes171.0ms (1.6%)

Memory

18.9MiB live, 172.0MiB allocated

Counts

69 → 2

Calls

Call 1

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

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

Calls

5 calls:

61.0ms	(/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z)
39.0ms	z
27.0ms	x
23.0ms	y
17.0ms	(*.f64 (cosh.f64 x) (/.f64 y x))

Results

Accuracy	Segments	Branch
96.5%	1	`x`
96.5%	1	`y`
96.5%	1	`z`
99.9%	2	`(/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z)`
99.9%	2	`(*.f64 (cosh.f64 x) (/.f64 y x))`

Compiler

Compiled 17 to 22 computations (-29.4% saved)

regimes197.0ms (1.8%)

Memory

-4.6MiB live, 204.4MiB allocated

Counts

68 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

5 calls:

81.0ms	(*.f64 (cosh.f64 x) (/.f64 y x))
40.0ms	(/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z)
30.0ms	z
22.0ms	x
20.0ms	y

Results

Accuracy	Segments	Branch
96.7%	3	`x`
91.5%	3	`y`
93.8%	3	`z`
95.1%	2	`(*.f64 (cosh.f64 x) (/.f64 y x))`
95.1%	2	`(/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z)`

Compiler

Compiled 17 to 22 computations (-29.4% saved)

regimes78.0ms (0.7%)

Memory

15.9MiB live, 131.5MiB allocated

Counts

67 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

3 calls:

38.0ms	x
19.0ms	(*.f64 (cosh.f64 x) (/.f64 y x))
18.0ms	(/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z)

Results

Accuracy	Segments	Branch
92.0%	2	`(/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z)`
92.0%	2	`(*.f64 (cosh.f64 x) (/.f64 y x))`
96.3%	3	`x`

Compiler

Compiled 15 to 16 computations (-6.7% saved)

regimes85.0ms (0.8%)

Memory

-23.3MiB live, 215.7MiB allocated

Counts

65 → 2

Calls

Call 1

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

Outputs

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

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

Calls

4 calls:

24.0ms	x
19.0ms	z
17.0ms	(*.f64 (cosh.f64 x) (/.f64 y x))
17.0ms	(/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z)

Results

Accuracy	Segments	Branch
92.0%	2	`(/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z)`
92.0%	2	`(*.f64 (cosh.f64 x) (/.f64 y x))`
91.5%	2	`z`
88.2%	1	`x`

Compiler

Compiled 16 to 19 computations (-18.8% saved)

regimes37.0ms (0.3%)

Memory

35.6MiB live, 110.8MiB allocated

Counts

63 → 2

Calls

Call 1

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

Outputs

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

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

Calls

2 calls:

17.0ms	(*.f64 (cosh.f64 x) (/.f64 y x))
16.0ms	(/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z)

Results

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

Compiler

Compiled 14 to 13 computations (7.1% saved)

regimes14.0ms (0.1%)

Memory

-4.0MiB live, 34.4MiB allocated

Counts

42 → 2

Calls

Call 1

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

Outputs

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

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

Calls

1 calls:

12.0ms

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

Results

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

Compiler

Compiled 8 to 7 computations (12.5% saved)

regimes64.0ms (0.6%)

Memory

-21.6MiB live, 135.9MiB allocated

Counts

35 → 2

Calls

Call 1

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

Outputs

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

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

Calls

5 calls:

15.0ms	(/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z)
14.0ms	x
12.0ms	z
12.0ms	y
9.0ms	(*.f64 (cosh.f64 x) (/.f64 y x))

Results

Accuracy	Segments	Branch
85.6%	3	`x`
84.3%	2	`y`
82.4%	1	`z`
85.9%	2	`(*.f64 (cosh.f64 x) (/.f64 y x))`
85.9%	2	`(/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z)`

Compiler

Compiled 17 to 22 computations (-29.4% saved)

regimes36.0ms (0.3%)

Memory

11.1MiB live, 94.2MiB allocated

Counts

19 → 2

Calls

Call 1

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

Outputs

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

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

Calls

5 calls:

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

Results

Accuracy	Segments	Branch
71.5%	2	`z`
70.3%	2	`x`
73.0%	3	`y`
75.4%	2	`(*.f64 (cosh.f64 x) (/.f64 y x))`
75.4%	2	`(/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z)`

Compiler

Compiled 17 to 22 computations (-29.4% saved)

regimes12.0ms (0.1%)

Memory

-4.9MiB live, 34.5MiB allocated

Counts

17 → 2

Calls

Call 1

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

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

Calls

2 calls:

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

Results

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

Compiler

Compiled 14 to 13 computations (7.1% saved)

regimes9.0ms (0.1%)

Memory

-7.9MiB live, 31.4MiB allocated

Counts

12 → 2

Calls

Call 1

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

Outputs

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

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

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
72.3%	2	`(/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z)`
72.3%	2	`(*.f64 (cosh.f64 x) (/.f64 y x))`

Compiler

Compiled 14 to 13 computations (7.1% saved)

regimes20.0ms (0.2%)

Memory

21.7MiB live, 63.5MiB allocated

Counts

10 → 2

Calls

Call 1

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

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

Calls

5 calls:

5.0ms	z
4.0ms	y
4.0ms	x
4.0ms	(*.f64 (cosh.f64 x) (/.f64 y x))
3.0ms	(/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z)

Results

Accuracy	Segments	Branch
64.2%	2	`x`
56.3%	2	`y`
56.4%	2	`z`
56.4%	2	`(/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z)`
56.4%	2	`(*.f64 (cosh.f64 x) (/.f64 y x))`

Compiler

Compiled 17 to 22 computations (-29.4% saved)

regimes3.0ms (0%)

Memory

9.8MiB live, 9.9MiB allocated

Counts

4 → 2

Calls

Call 1

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

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

Calls

1 calls:

2.0ms

Results

Accuracy	Segments	Branch
63.1%	2	`x`

Compiler

Compiled 1 to 3 computations (-200% saved)

regimes3.0ms (0%)

Memory

-31.0MiB live, 8.5MiB allocated

Counts

3 → 2

Calls

Call 1

Inputs

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

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

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

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

Calls

1 calls:

3.0ms

Results

Accuracy	Segments	Branch
62.1%	2	`x`

Compiler

Compiled 1 to 3 computations (-200% saved)

regimes8.0ms (0.1%)

Memory

27.8MiB live, 27.8MiB allocated

Accuracy

Total -0.0b remaining (-0.1%)

Threshold costs -0b (-0.1%)

Counts

2 → 1

Calls

Call 1

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

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

Calls

5 calls:

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

Results

Accuracy	Segments	Branch
48.6%	1	`y`
48.6%	1	`(*.f64 (cosh.f64 x) (/.f64 y x))`
48.6%	1	`z`
48.6%	1	`(/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z)`
48.6%	1	`x`

Compiler

Compiled 17 to 22 computations (-29.4% saved)

bsearch1.0ms (0%)

Memory

1.8MiB live, 1.8MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	1.9133343322201833e+38	6.235089211362135e+40

Compiler

Compiled 11 to 13 computations (-18.2% saved)

bsearch25.0ms (0.2%)

Memory

-11.4MiB live, 67.6MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	predicate-same
1×	narrow-enough

Steps

Time	Left	Right
12.0ms	1.0511219050209494e+70	3.915829962453565e+77
10.0ms	5.155294784392094e-110	1.1179727647681108e-107

Samples

12.0ms

240×

valid

Compiler

Compiled 317 to 294 computations (7.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 7.0ms

ival-div: 3.0ms (43.4% of total)

ival-cosh: 2.0ms (28.9% of total)

ival-mult: 1.0ms (14.5% of total)

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

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

bsearch15.0ms (0.1%)

Memory

0.8MiB live, 41.8MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
2.0ms	1.0511219050209494e+70	3.915829962453565e+77
11.0ms	4.3625470834000893e-175	1.7983345896831376e-173

Samples

8.0ms

128×

valid

Compiler

Compiled 343 to 316 computations (7.9% saved)

Precisions

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

ival-div: 2.0ms (38.5% of total)

ival-mult: 2.0ms (38.5% of total)

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

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

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

bsearch1.0ms (0%)

Memory

2.2MiB live, 2.2MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	1.3545606427157078e+262	2.3868820208040642e+269

Compiler

Compiled 11 to 13 computations (-18.2% saved)

bsearch1.0ms (0%)

Memory

1.8MiB live, 1.8MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	1.9133343322201833e+38	6.235089211362135e+40

Compiler

Compiled 11 to 13 computations (-18.2% saved)

bsearch0.0ms (0%)

Memory

1.4MiB live, 1.4MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	1.9133343322201833e+38	6.235089211362135e+40

Compiler

Compiled 11 to 13 computations (-18.2% saved)

bsearch0.0ms (0%)

Memory

1.2MiB live, 1.2MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	1.269497213513601e+193	2.7788301091814455e+201

Compiler

Compiled 11 to 13 computations (-18.2% saved)

bsearch0.0ms (0%)

Memory

0.9MiB live, 0.9MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	+inf	NaN

Compiler

Compiled 11 to 13 computations (-18.2% saved)

bsearch0.0ms (0%)

Memory

0.9MiB live, 0.9MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	2.3868820208040642e+269	8.901095626835102e+280

Compiler

Compiled 11 to 13 computations (-18.2% saved)

bsearch0.0ms (0%)

Memory

0.9MiB live, 0.9MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	3.0398549582315232e+162	4.712646759377011e+164

Compiler

Compiled 11 to 13 computations (-18.2% saved)

bsearch20.0ms (0.2%)

Memory

-25.9MiB live, 52.0MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
18.0ms	6.96366375359051e-11	2588.1411601104605

Samples

11.0ms

160×

valid

Compiler

Compiled 161 to 183 computations (-13.7% saved)

Precisions

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

ival-div: 4.0ms (52.5% of total)

ival-cosh: 3.0ms (39.4% of total)

ival-mult: 1.0ms (13.1% of total)

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

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

bsearch1.0ms (0%)

Memory

3.3MiB live, 3.3MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
1.0ms	6.96366375359051e-11	2588.1411601104605

Compiler

Compiled 161 to 183 computations (-13.7% saved)

bsearch1.0ms (0%)

Memory

3.1MiB live, 3.1MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
1.0ms	6.96366375359051e-11	2588.1411601104605

Compiler

Compiled 161 to 183 computations (-13.7% saved)

simplify35.0ms (0.3%)

Memory

-24.1MiB live, 67.8MiB allocated

Algorithm

1×	egg-herbie

Rules

26×	`-commutative-binary64-.f64`
2×	`1-exp-binary32-exp.f32`
2×	`1-exp-binary64-exp.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	132	641
1	149	641

Stop Event

1×

saturated

Calls

Call 1

Inputs
(if (<=.f64 (/.f64 (.f64 (cosh.f64 x) (/.f64 y x)) z) #s(literal 199999999999999995497619646912068059136 binary64)) #s(approx (/ (/ ( y (cosh x)) z) x) (/.f64 y (.f64 z x))) (/.f64 (/.f64 (.f64 y (cosh.f64 x)) z) x))
(if (<=.f64 x #s(literal 5076909840309109/42307582002575910332922579714097346549017899709713998034217522897561970639123926132812109468141778230245837569601494931472384 binary64)) (/.f64 #s(approx (/ (* y (cosh x)) z) (/.f64 y z)) x) (if (<=.f64 x #s(literal 299999999999999981979279463591835365907546195412746872484301410391090779914240 binary64)) (/.f64 (.f64 (cosh.f64 x) (/.f64 y x)) z) (/.f64 (/.f64 (.f64 y #s(approx (cosh x) (fma.f64 #s(approx (+ (* 1/24 (* x x)) 1/2) (.f64 #s(literal 1/24 binary64) (.f64 x x))) (*.f64 x x) #s(literal 1 binary64)))) z) x)))
(if (<=.f64 x #s(literal 8019915148164015/8911016831293350036408538292383381493932086928219843614412485386522021810954448020519360959604241015192660760885926576778688876408936402340337229140082449586429677098359892480630613656731648 binary64)) (/.f64 #s(approx (/ (* y (cosh x)) z) (/.f64 y z)) x) (if (<=.f64 x #s(literal 260000000000000018663387145971383195348398005969182809960058423038525829021696 binary64)) (/.f64 (.f64 y (cosh.f64 x)) (.f64 z x)) (/.f64 (/.f64 (.f64 y #s(approx (cosh x) (fma.f64 #s(approx (+ ( 1/24 (* x x)) 1/2) (.f64 #s(literal 1/24 binary64) (.f64 x x))) (*.f64 x x) #s(literal 1 binary64)))) z) x)))
(if (<=.f64 (.f64 (cosh.f64 x) (/.f64 y x)) #s(literal 20000000000000000323456785900191669561923454243064936219351155259210830706007157687226704499288107285763810660663679263023264344934985834790648308005091295168868698197129205191161878464985997761417827125414132937520722989422036627287210875071738030889333260550144 binary64)) (/.f64 #s(approx ( (cosh x) (/ y x)) (/.f64 y x)) z) (.f64 y #s(approx (/ (cosh x) ( z x)) (/.f64 (fma.f64 (fma.f64 (/.f64 (.f64 x x) z) (fma.f64 #s(literal 1/720 binary64) (.f64 x x) #s(literal 1/24 binary64)) (/.f64 #s(literal 1/2 binary64) z)) (*.f64 x x) (/.f64 #s(literal 1 binary64) z)) x))))
(if (<=.f64 (/.f64 (.f64 (cosh.f64 x) (/.f64 y x)) z) #s(literal 199999999999999995497619646912068059136 binary64)) #s(approx (/ (/ ( y (cosh x)) z) x) (/.f64 y (.f64 z x))) (/.f64 (/.f64 (.f64 y #s(approx (cosh x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 x x) #s(literal 1/2 binary64)) (.f64 x x) #s(literal 1 binary64)))) z) x))
(if (<=.f64 (/.f64 (.f64 (cosh.f64 x) (/.f64 y x)) z) #s(literal 199999999999999995497619646912068059136 binary64)) #s(approx (/ (/ ( y (cosh x)) z) x) (/.f64 y (.f64 z x))) (/.f64 (/.f64 (.f64 y #s(approx (cosh x) (fma.f64 #s(approx (+ (* 1/24 (* x x)) 1/2) (.f64 #s(literal 1/24 binary64) (.f64 x x))) (*.f64 x x) #s(literal 1 binary64)))) z) x))
(if (<=.f64 (/.f64 (.f64 (cosh.f64 x) (/.f64 y x)) z) #s(literal 20000000000000001324550266392146045781629557813563384351149437228123741413841093429340757108942167912279254610380912407648661736207011485795081833995022024081041617624336082668303754650732986368 binary64)) (/.f64 #s(approx ( (cosh x) (/ y x)) (/.f64 y x)) z) #s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (.f64 (/.f64 #s(approx (+ ( (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (* x x)) 1) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) x #s(literal 1 binary64))) z) y) x)))
(if (<=.f64 (/.f64 (.f64 (cosh.f64 x) (/.f64 y x)) z) #s(literal +inf.0 binary64)) #s(approx (/ ( (cosh x) (/ y x)) z) (.f64 (/.f64 #s(approx (+ ( (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (* x x)) 1) (fma.f64 (.f64 x #s(literal 1/2 binary64)) x #s(literal 1 binary64))) z) (/.f64 y x))) (.f64 y (/.f64 #s(approx (cosh x) (fma.f64 (.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) (.f64 z x))))
(if (<=.f64 (.f64 (cosh.f64 x) (/.f64 y x)) #s(literal 400000000000000018701527554182451195675842172532164114736545949097606575757822357844147303272121334775630755253617980115730467273864972132589725310966791926554955711945855174234799008095340924409064031317491468554077173304424921373901055210712551019496787153855713378304 binary64)) (/.f64 #s(approx ( (cosh x) (/ y x)) (/.f64 y x)) z) (.f64 y (/.f64 #s(approx (cosh x) (fma.f64 (.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) (*.f64 z x))))
(if (<=.f64 (.f64 (cosh.f64 x) (/.f64 y x)) #s(literal 4999999999999999689249698190581987332252625797194839926878626579613429294411825012464277484820215304674499898109471065015912635469543246678814949603507757006192640 binary64)) (/.f64 #s(approx ( (cosh x) (/ y x)) (/.f64 y x)) z) #s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (.f64 (fma.f64 #s(approx (+ ( (* x x) 1/24) 1/2) #s(literal 1/2 binary64)) (.f64 x x) #s(literal 1 binary64)) y) (.f64 z x))))
(if (<=.f64 x #s(literal 3152519739159347/2251799813685248 binary64)) (/.f64 #s(approx (/ (* y (cosh x)) z) (/.f64 y z)) x) (/.f64 #s(approx (* (cosh x) (/ y x)) (.f64 #s(approx (+ ( x 1/2) (/ 1 x)) (*.f64 x #s(literal 1/2 binary64))) y)) z))
(if (<=.f64 x #s(literal 3152519739159347/2251799813685248 binary64)) (/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 y x)) z) (/.f64 #s(approx (* (cosh x) (/ y x)) (.f64 #s(approx (+ ( x 1/2) (/ 1 x)) (*.f64 x #s(literal 1/2 binary64))) y)) z))
(if (<=.f64 x #s(literal 3152519739159347/2251799813685248 binary64)) #s(approx (/ (/ (* y (cosh x)) z) x) (/.f64 y (.f64 z x))) (/.f64 #s(approx ( (cosh x) (/ y x)) (.f64 #s(approx (+ ( x 1/2) (/ 1 x)) (*.f64 x #s(literal 1/2 binary64))) y)) z))
#s(approx (/ (/ (* y (cosh x)) z) x) (/.f64 y (*.f64 z x)))

Outputs
(if (<=.f64 (/.f64 (.f64 (cosh.f64 x) (/.f64 y x)) z) #s(literal 199999999999999995497619646912068059136 binary64)) #s(approx (/ (/ ( y (cosh x)) z) x) (/.f64 y (.f64 z x))) (/.f64 (/.f64 (.f64 y (cosh.f64 x)) z) x))
(if (<=.f64 (/.f64 (.f64 (/.f64 y x) (cosh.f64 x)) z) #s(literal 199999999999999995497619646912068059136 binary64)) #s(approx (/ (/ ( y (cosh x)) z) x) (/.f64 y (.f64 z x))) (/.f64 (/.f64 (.f64 y (cosh.f64 x)) z) x))
(if (<=.f64 x #s(literal 5076909840309109/42307582002575910332922579714097346549017899709713998034217522897561970639123926132812109468141778230245837569601494931472384 binary64)) (/.f64 #s(approx (/ (* y (cosh x)) z) (/.f64 y z)) x) (if (<=.f64 x #s(literal 299999999999999981979279463591835365907546195412746872484301410391090779914240 binary64)) (/.f64 (.f64 (cosh.f64 x) (/.f64 y x)) z) (/.f64 (/.f64 (.f64 y #s(approx (cosh x) (fma.f64 #s(approx (+ (* 1/24 (* x x)) 1/2) (.f64 #s(literal 1/24 binary64) (.f64 x x))) (*.f64 x x) #s(literal 1 binary64)))) z) x)))
(if (<=.f64 x #s(literal 5076909840309109/42307582002575910332922579714097346549017899709713998034217522897561970639123926132812109468141778230245837569601494931472384 binary64)) (/.f64 #s(approx (/ (* y (cosh x)) z) (/.f64 y z)) x) (if (<=.f64 x #s(literal 299999999999999981979279463591835365907546195412746872484301410391090779914240 binary64)) (/.f64 (.f64 (/.f64 y x) (cosh.f64 x)) z) (/.f64 (/.f64 (.f64 #s(approx (cosh x) (fma.f64 #s(approx (+ (* 1/24 (* x x)) 1/2) (.f64 (.f64 x x) #s(literal 1/24 binary64))) (*.f64 x x) #s(literal 1 binary64))) y) z) x)))
(if (<=.f64 x #s(literal 8019915148164015/8911016831293350036408538292383381493932086928219843614412485386522021810954448020519360959604241015192660760885926576778688876408936402340337229140082449586429677098359892480630613656731648 binary64)) (/.f64 #s(approx (/ (* y (cosh x)) z) (/.f64 y z)) x) (if (<=.f64 x #s(literal 260000000000000018663387145971383195348398005969182809960058423038525829021696 binary64)) (/.f64 (.f64 y (cosh.f64 x)) (.f64 z x)) (/.f64 (/.f64 (.f64 y #s(approx (cosh x) (fma.f64 #s(approx (+ ( 1/24 (* x x)) 1/2) (.f64 #s(literal 1/24 binary64) (.f64 x x))) (*.f64 x x) #s(literal 1 binary64)))) z) x)))
(if (<=.f64 x #s(literal 8019915148164015/8911016831293350036408538292383381493932086928219843614412485386522021810954448020519360959604241015192660760885926576778688876408936402340337229140082449586429677098359892480630613656731648 binary64)) (/.f64 #s(approx (/ (* y (cosh x)) z) (/.f64 y z)) x) (if (<=.f64 x #s(literal 260000000000000018663387145971383195348398005969182809960058423038525829021696 binary64)) (/.f64 (.f64 y (cosh.f64 x)) (.f64 z x)) (/.f64 (/.f64 (.f64 #s(approx (cosh x) (fma.f64 #s(approx (+ ( 1/24 (* x x)) 1/2) (.f64 (.f64 x x) #s(literal 1/24 binary64))) (*.f64 x x) #s(literal 1 binary64))) y) z) x)))
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(if (<=.f64 (/.f64 (.f64 (cosh.f64 x) (/.f64 y x)) z) #s(literal 199999999999999995497619646912068059136 binary64)) #s(approx (/ (/ ( y (cosh x)) z) x) (/.f64 y (.f64 z x))) (/.f64 (/.f64 (.f64 y #s(approx (cosh x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 x x) #s(literal 1/2 binary64)) (.f64 x x) #s(literal 1 binary64)))) z) x))
(if (<=.f64 (/.f64 (.f64 (/.f64 y x) (cosh.f64 x)) z) #s(literal 199999999999999995497619646912068059136 binary64)) #s(approx (/ (/ ( y (cosh x)) z) x) (/.f64 y (.f64 z x))) (/.f64 (/.f64 (.f64 #s(approx (cosh x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 x x) #s(literal 1/2 binary64)) (.f64 x x) #s(literal 1 binary64))) y) z) x))
(if (<=.f64 (/.f64 (.f64 (cosh.f64 x) (/.f64 y x)) z) #s(literal 199999999999999995497619646912068059136 binary64)) #s(approx (/ (/ ( y (cosh x)) z) x) (/.f64 y (.f64 z x))) (/.f64 (/.f64 (.f64 y #s(approx (cosh x) (fma.f64 #s(approx (+ (* 1/24 (* x x)) 1/2) (.f64 #s(literal 1/24 binary64) (.f64 x x))) (*.f64 x x) #s(literal 1 binary64)))) z) x))
(if (<=.f64 (/.f64 (.f64 (/.f64 y x) (cosh.f64 x)) z) #s(literal 199999999999999995497619646912068059136 binary64)) #s(approx (/ (/ ( y (cosh x)) z) x) (/.f64 y (.f64 z x))) (/.f64 (/.f64 (.f64 #s(approx (cosh x) (fma.f64 #s(approx (+ (* 1/24 (* x x)) 1/2) (.f64 (.f64 x x) #s(literal 1/24 binary64))) (*.f64 x x) #s(literal 1 binary64))) y) z) x))
(if (<=.f64 (/.f64 (.f64 (cosh.f64 x) (/.f64 y x)) z) #s(literal 20000000000000001324550266392146045781629557813563384351149437228123741413841093429340757108942167912279254610380912407648661736207011485795081833995022024081041617624336082668303754650732986368 binary64)) (/.f64 #s(approx ( (cosh x) (/ y x)) (/.f64 y x)) z) #s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (.f64 (/.f64 #s(approx (+ ( (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (* x x)) 1) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) x #s(literal 1 binary64))) z) y) x)))
(if (<=.f64 (/.f64 (.f64 (/.f64 y x) (cosh.f64 x)) z) #s(literal 20000000000000001324550266392146045781629557813563384351149437228123741413841093429340757108942167912279254610380912407648661736207011485795081833995022024081041617624336082668303754650732986368 binary64)) (/.f64 #s(approx ( (cosh x) (/ y x)) (/.f64 y x)) z) #s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (.f64 (/.f64 #s(approx (+ ( (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (* x x)) 1) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) x #s(literal 1 binary64))) z) y) x)))
(if (<=.f64 (/.f64 (.f64 (cosh.f64 x) (/.f64 y x)) z) #s(literal +inf.0 binary64)) #s(approx (/ ( (cosh x) (/ y x)) z) (.f64 (/.f64 #s(approx (+ ( (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (* x x)) 1) (fma.f64 (.f64 x #s(literal 1/2 binary64)) x #s(literal 1 binary64))) z) (/.f64 y x))) (.f64 y (/.f64 #s(approx (cosh x) (fma.f64 (.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) (.f64 z x))))
(if (<=.f64 (/.f64 (.f64 (/.f64 y x) (cosh.f64 x)) z) #s(literal +inf.0 binary64)) #s(approx (/ ( (cosh x) (/ y x)) z) (.f64 (/.f64 #s(approx (+ ( (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (* x x)) 1) (fma.f64 (.f64 #s(literal 1/2 binary64) x) x #s(literal 1 binary64))) z) (/.f64 y x))) (.f64 (/.f64 #s(approx (cosh x) (fma.f64 (.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) (.f64 z x)) y))
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(if (<=.f64 (.f64 (/.f64 y x) (cosh.f64 x)) #s(literal 400000000000000018701527554182451195675842172532164114736545949097606575757822357844147303272121334775630755253617980115730467273864972132589725310966791926554955711945855174234799008095340924409064031317491468554077173304424921373901055210712551019496787153855713378304 binary64)) (/.f64 #s(approx ( (cosh x) (/ y x)) (/.f64 y x)) z) (.f64 (/.f64 #s(approx (cosh x) (fma.f64 (.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) (*.f64 z x)) y))
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(if (<=.f64 x #s(literal 3152519739159347/2251799813685248 binary64)) (/.f64 #s(approx (/ (* y (cosh x)) z) (/.f64 y z)) x) (/.f64 #s(approx (* (cosh x) (/ y x)) (.f64 #s(approx (+ ( x 1/2) (/ 1 x)) (*.f64 #s(literal 1/2 binary64) x)) y)) z))
(if (<=.f64 x #s(literal 3152519739159347/2251799813685248 binary64)) (/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 y x)) z) (/.f64 #s(approx (* (cosh x) (/ y x)) (.f64 #s(approx (+ ( x 1/2) (/ 1 x)) (*.f64 x #s(literal 1/2 binary64))) y)) z))
(if (<=.f64 x #s(literal 3152519739159347/2251799813685248 binary64)) (/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 y x)) z) (/.f64 #s(approx (* (cosh x) (/ y x)) (.f64 #s(approx (+ ( x 1/2) (/ 1 x)) (*.f64 #s(literal 1/2 binary64) x)) y)) z))
(if (<=.f64 x #s(literal 3152519739159347/2251799813685248 binary64)) #s(approx (/ (/ (* y (cosh x)) z) x) (/.f64 y (.f64 z x))) (/.f64 #s(approx ( (cosh x) (/ y x)) (.f64 #s(approx (+ ( x 1/2) (/ 1 x)) (*.f64 x #s(literal 1/2 binary64))) y)) z))
(if (<=.f64 x #s(literal 3152519739159347/2251799813685248 binary64)) #s(approx (/ (/ (* y (cosh x)) z) x) (/.f64 y (.f64 z x))) (/.f64 #s(approx ( (cosh x) (/ y x)) (.f64 #s(approx (+ ( x 1/2) (/ 1 x)) (*.f64 #s(literal 1/2 binary64) x)) y)) z))
#s(approx (/ (/ (* y (cosh x)) z) x) (/.f64 y (*.f64 z x)))

soundness1.9s (17.1%)

Memory

16.6MiB live, 1 449.2MiB allocated

Rules

34 090×	`lower-fma.f64`
34 090×	`lower-fma.f32`
15 684×	`lower-fma.f64`
15 684×	`lower-fma.f32`
14 660×	`lower-fma.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	52	449
0	86	445
1	334	445
2	2043	445
0	8142	441
0	7	19
0	11	19
1	36	19
2	208	19
3	2161	19
0	8571	19
0	36	258
0	62	258
1	243	258
2	1754	258
0	8355	258
0	206	8402
1	664	8398
2	1966	8154
3	5537	8142
0	8109	7685
0	237	8690
1	789	8684
2	2473	8416
3	5758	8350
0	8151	7862
0	233	7478
1	768	7466
2	2493	7286
3	5995	7254
0	8345	6904
0	70	1004
1	201	1000
2	596	988
3	1406	982
4	2096	982
5	2761	980
6	3294	980
7	4780	976
8	5441	976
9	5911	976
10	6442	976
11	7732	976
0	8015	958

Stop Event

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

Compiler

Compiled 1 124 to 627 computations (44.2% saved)

preprocess705.0ms (6.4%)

Memory: 27.4MiB live, 421.0MiB allocated
Compiler: Compiled 1 042 to 352 computations (66.2% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze66.0ms (0.6%)

sample1.1s (10.3%)

explain107.0ms (1%)

preprocess147.0ms (1.3%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify77.0ms (0.7%)

localize42.0ms (0.4%)

series20.0ms (0.2%)

simplify227.0ms (2.1%)

rewrite171.0ms (1.6%)

eval59.0ms (0.5%)

prune73.0ms (0.7%)

simplify171.0ms (1.6%)

localize229.0ms (2.1%)

series69.0ms (0.6%)

simplify236.0ms (2.2%)

rewrite342.0ms (3.1%)

eval182.0ms (1.7%)

prune184.0ms (1.7%)

simplify189.0ms (1.7%)

localize179.0ms (1.6%)

series110.0ms (1%)

simplify210.0ms (1.9%)

rewrite231.0ms (2.1%)

eval228.0ms (2.1%)

prune539.0ms (4.9%)

simplify127.0ms (1.2%)

localize165.0ms (1.5%)

series78.0ms (0.7%)

simplify319.0ms (2.9%)

rewrite583.0ms (5.3%)

eval533.0ms (4.9%)

prune532.0ms (4.8%)

regimes171.0ms (1.6%)

regimes197.0ms (1.8%)

regimes78.0ms (0.7%)

regimes85.0ms (0.8%)

regimes37.0ms (0.3%)

regimes14.0ms (0.1%)

regimes64.0ms (0.6%)

regimes36.0ms (0.3%)

regimes12.0ms (0.1%)

regimes9.0ms (0.1%)

regimes20.0ms (0.2%)

regimes3.0ms (0%)

regimes3.0ms (0%)

regimes8.0ms (0.1%)

bsearch1.0ms (0%)

bsearch25.0ms (0.2%)

bsearch15.0ms (0.1%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch20.0ms (0.2%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

simplify35.0ms (0.3%)

soundness1.9s (17.1%)

preprocess705.0ms (6.4%)

end0.0ms (0%)

Profiling