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

start0.0ms (0%)

Memory: 0.1MiB live, 0.0MiB allocated

analyze67.0ms (0.6%)

Memory

12.4MiB live, 170.8MiB 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)

sample718.0ms (6.7%)

Memory

-1.1MiB live, 1 064.2MiB allocated

Samples

488.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 292.0ms

ival-div: 127.0ms (43.5% of total)

ival-cosh: 103.0ms (35.3% of total)

ival-mult: 52.0ms (17.8% of total)

ival-true: 7.0ms (2.4% of total)

ival-assert: 4.0ms (1.4% of total)

Bogosity

explain77.0ms (0.7%)

Memory

5.2MiB live, 116.9MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
27	-	-	`(*.f64 (cosh.f64 x) (/.f64 y x))`
10	-	-	`(/.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**	27	0
↳	`(cosh.f64 x)`	overflow	131
↳	`(/.f64 y x)`	underflow	27
`/.f64`	`(/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z)`	o/n	10	0
↳	`(cosh.f64 x)`	overflow	131
↳	`(/.f64 y x)`	overflow	26
↳	`(*.f64 (cosh.f64 x) (/.f64 y x))`	overflow	157

Confusion

	Predicted +	Predicted -
+	37	0
-	0	219

Precision

1.0

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	37	0	0
-	0	0	219

Precision?

1.0

Recall?

1.0

Freqs

test

number	freq
0	219
1	37

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

33.0ms

512×

valid

Compiler

Compiled 59 to 25 computations (57.6% saved)

Precisions

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

ival-div: 10.0ms (52.1% of total)

ival-cosh: 6.0ms (31.2% of total)

ival-mult: 3.0ms (15.6% of total)

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

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

preprocess133.0ms (1.2%)

Memory

11.9MiB live, 97.7MiB 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 y (cosh.f64 x)) (.f64 z x))

Symmetry

(negabs z)

(negabs y)

(negabs x)

Compiler

Compiled 11 to 7 computations (36.4% saved)

eval0.0ms (0%)

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

prune0.0ms (0%)

Memory

1.0MiB live, 1.0MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	85.6%	(/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z)

Compiler

Compiled 11 to 7 computations (36.4% saved)

simplify77.0ms (0.7%)

Memory

-13.1MiB live, 25.2MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Score
cost-diff	0	(/.f64 y x)
cost-diff	0	(cosh.f64 x)
cost-diff	0	(*.f64 (cosh.f64 x) (/.f64 y x))
cost-diff	384	(/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z)

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize25.0ms (0.2%)

Memory

-8.1MiB live, 29.9MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0	(/.f64 y x)
accuracy	0	(cosh.f64 x)
accuracy	2.4637956758681123	(/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z)
accuracy	5.378906250000001	(*.f64 (cosh.f64 x) (/.f64 y x))

Samples

20.0ms

256×

valid

Compiler

Compiled 24 to 9 computations (62.5% saved)

Precisions

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

ival-cosh: 5.0ms (49.8% of total)

ival-div: 3.0ms (29.9% of total)

ival-mult: 1.0ms (10% of total)

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

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

series20.0ms (0.2%)

Memory

25.2MiB live, 25.2MiB 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))

simplify427.0ms (4%)

Memory

-31.6MiB live, 153.2MiB 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 #s(literal 1/2 binary64) (.f64 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 #s(literal 1/2 binary64) (.f64 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 #s(literal 1/2 binary64) (.f64 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 #s(literal 1/2 binary64) (.f64 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 #s(literal 1/2 binary64) (.f64 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 #s(literal 1/2 binary64) (.f64 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 #s(literal 1/2 binary64) (.f64 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 #s(literal 1/2 binary64) (.f64 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 #s(literal 1/2 binary64) (.f64 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 #s(literal 1/2 binary64) (.f64 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 #s(literal 1/2 binary64) (.f64 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 #s(literal 1/2 binary64) (.f64 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 #s(literal 1/2 binary64) (.f64 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 #s(literal 1/2 binary64) (.f64 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 #s(literal 1/2 binary64) (.f64 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 #s(literal 1/2 binary64) (.f64 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 #s(literal 1/2 binary64) (.f64 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 #s(literal 1/2 binary64) (.f64 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 #s(literal 1/2 binary64) (.f64 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 #s(literal 1/2 binary64) (.f64 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 #s(literal 1/2 binary64) (.f64 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 #s(literal 1/2 binary64) (.f64 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 #s(literal 1/2 binary64) (.f64 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 #s(literal 1/2 binary64) (.f64 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 y (*.f64 z x))
(/ (+ (* 1/2 (/ (* (pow x 2) y) z)) (/ y z)) x)
(.f64 (fma.f64 (.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)) (/.f64 y (*.f64 z x)))
(/ (+ (* (pow x 2) (+ (* 1/24 (/ (* (pow x 2) y) z)) (* 1/2 (/ y z)))) (/ y 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)) (/.f64 y (.f64 z x)))
(/ (+ (* (pow x 2) (+ (* 1/2 (/ y z)) (* (pow x 2) (+ (* 1/720 (/ (* (pow x 2) y) z)) (* 1/24 (/ y z)))))) (/ y z)) x)
(.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 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 (*.f64 z 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 #s(literal 1/2 binary64) (.f64 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 #s(literal 1/2 binary64) (.f64 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 #s(literal 1/2 binary64) (.f64 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 #s(literal 1/2 binary64) (.f64 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 #s(literal 1/2 binary64) (.f64 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 #s(literal 1/2 binary64) (.f64 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 #s(literal 1/2 binary64) (.f64 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 #s(literal 1/2 binary64) (.f64 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)

rewrite155.0ms (1.4%)

Memory

-2.8MiB live, 242.8MiB 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 (neg.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 (neg.f64 z) (.f64 y (cosh.f64 x))) #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)) (/.f64 #s(literal -1 binary64) (.f64 #s(literal 2 binary64) x)))
(.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)) (/.f64 #s(literal -1 binary64) (.f64 #s(literal -2 binary64) x)))
(.f64 (pow.f64 (/.f64 x (.f64 #s(literal 2 binary64) (.f64 y (cosh.f64 x)))) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (.f64 #s(literal -2 binary64) z)))
(.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) (/.f64 #s(literal -1 binary64) (.f64 #s(literal 2 binary64) x)))
(.f64 (/.f64 (.f64 #s(literal 2 binary64) (.f64 y (cosh.f64 x))) z) (/.f64 #s(literal -1 binary64) (.f64 #s(literal -2 binary64) x)))
(*.f64 (/.f64 (neg.f64 (cosh.f64 x)) z) (/.f64 (neg.f64 y) x))
(.f64 (.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 (.f64 #s(literal 2 binary64) (.f64 y (cosh.f64 x))) x)) #s(literal 1/2 binary64))
(.f64 (.f64 (/.f64 #s(literal 1 binary64) z) (.f64 #s(literal 2 binary64) (cosh.f64 x))) (.f64 (/.f64 y x) #s(literal 1/2 binary64)))
(.f64 (.f64 (/.f64 #s(literal 1 binary64) z) (.f64 #s(literal -2 binary64) (.f64 y (cosh.f64 x)))) (/.f64 #s(literal -1 binary64) (*.f64 #s(literal 2 binary64) x)))
(.f64 (.f64 (/.f64 #s(literal 1 binary64) z) (.f64 #s(literal 2 binary64) (.f64 y (cosh.f64 x)))) (/.f64 #s(literal -1 binary64) (*.f64 #s(literal -2 binary64) x)))
(.f64 (.f64 (/.f64 #s(literal 1 binary64) z) y) (/.f64 (cosh.f64 x) x))
(.f64 (pow.f64 (.f64 (/.f64 z (.f64 y (cosh.f64 x))) x) #s(literal -1/2 binary64)) (pow.f64 (.f64 (/.f64 z (*.f64 y (cosh.f64 x))) 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 y (.f64 z x))) #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) (/.f64 #s(literal 1 binary64) x))
(.f64 (.f64 (/.f64 y (.f64 z x)) (.f64 #s(literal 2 binary64) (cosh.f64 x))) #s(literal 1/2 binary64))
(.f64 (neg.f64 (cosh.f64 x)) (/.f64 y (.f64 (neg.f64 z) x)))
(.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 #s(literal -1 binary64) (*.f64 z x)))
(.f64 (/.f64 (.f64 #s(literal 2 binary64) (.f64 y (cosh.f64 x))) x) (/.f64 #s(literal -1 binary64) (.f64 #s(literal -2 binary64) z)))
(.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 y (*.f64 (neg.f64 z) x)) (cosh.f64 x)))
(.f64 (/.f64 y (.f64 z x)) (cosh.f64 x))
(.f64 (.f64 y (cosh.f64 x)) (/.f64 #s(literal 1 binary64) (*.f64 z x)))
(.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (.f64 y (cosh.f64 x)) z))
(.f64 (/.f64 #s(literal 1 binary64) z) (.f64 (/.f64 (cosh.f64 x) x) y))
(.f64 #s(literal 1 binary64) (/.f64 (.f64 y (cosh.f64 x)) (*.f64 z 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 (/.f64 #s(literal 1 binary64) (cosh.f64 x)) (*.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 y (.f64 z x)) #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 y (.f64 z x))))
(.f64 (/.f64 (.f64 y (cosh.f64 x)) (*.f64 z x)) #s(literal 1 binary64))
(.f64 (.f64 (/.f64 (cosh.f64 x) x) y) (/.f64 #s(literal 1 binary64) z))
(*.f64 (/.f64 y x) (/.f64 (cosh.f64 x) z))
(.f64 y (/.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal 1 binary64) (cosh.f64 x)) (*.f64 z x))))
(.f64 y (/.f64 (cosh.f64 x) (.f64 z x)))
(.f64 y (.f64 (/.f64 #s(literal 1 binary64) (*.f64 z x)) (cosh.f64 x)))
(.f64 y (.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (cosh.f64 x) z)))
(*.f64 y (/.f64 (/.f64 (cosh.f64 x) x) z))
(.f64 (cosh.f64 x) (/.f64 y (.f64 z x)))
(pow.f64 (exp.f64 (log.f64 (.f64 (/.f64 z (.f64 y (cosh.f64 x))) x))) #s(literal -1 binary64))
(pow.f64 (.f64 (.f64 (/.f64 z (.f64 y (cosh.f64 x))) x) (.f64 (/.f64 z (*.f64 y (cosh.f64 x))) x)) #s(literal -1/2 binary64))
(pow.f64 (pow.f64 (.f64 (/.f64 z (.f64 y (cosh.f64 x))) x) #s(literal -1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (.f64 (/.f64 z (.f64 y (cosh.f64 x))) x) #s(literal -1 binary64))
(pow.f64 (/.f64 (.f64 y (cosh.f64 x)) (.f64 z x)) #s(literal 1 binary64))
(/.f64 (-.f64 #s(literal 0 binary64) (.f64 (.f64 (/.f64 y (.f64 (neg.f64 z) x)) (cosh.f64 x)) (.f64 (/.f64 y (.f64 (neg.f64 z) x)) (cosh.f64 x)))) (.f64 (/.f64 y (*.f64 (neg.f64 z) x)) (cosh.f64 x)))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (.f64 (/.f64 y (.f64 (neg.f64 z) x)) (cosh.f64 x)) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 (.f64 (/.f64 y (.f64 (neg.f64 z) x)) (cosh.f64 x)) (.f64 (/.f64 y (.f64 (neg.f64 z) x)) (cosh.f64 x)) (.f64 #s(literal 0 binary64) (.f64 (/.f64 y (*.f64 (neg.f64 z) x)) (cosh.f64 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 (/.f64 #s(literal 1 binary64) z) (/.f64 (.f64 #s(literal 2 binary64) (*.f64 y (cosh.f64 x))) x))) #s(literal -2 binary64))
(/.f64 (neg.f64 (.f64 (/.f64 #s(literal 1 binary64) z) (.f64 #s(literal 2 binary64) (cosh.f64 x)))) (*.f64 #s(literal -2 binary64) (/.f64 x y)))
(/.f64 (neg.f64 (.f64 (/.f64 #s(literal 1 binary64) z) (.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))
(/.f64 (-.f64 (.f64 #s(literal 0 binary64) (.f64 (neg.f64 z) (.f64 (/.f64 x y) #s(literal 2 binary64)))) (.f64 (neg.f64 z) (.f64 #s(literal 2 binary64) (cosh.f64 x)))) (.f64 (neg.f64 z) (.f64 (neg.f64 z) (.f64 (/.f64 x y) #s(literal 2 binary64)))))
(/.f64 (-.f64 (.f64 #s(literal 0 binary64) (neg.f64 z)) (.f64 (neg.f64 z) (.f64 (/.f64 (cosh.f64 x) x) y))) (.f64 z z))
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(.f64 (.f64 y (cosh.f64 x)) (/.f64 #s(literal 1 binary64) x))
(.f64 (/.f64 #s(literal 1 binary64) x) (.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 (/.f64 #s(literal 1 binary64) (cosh.f64 x)) (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 (/.f64 #s(literal 1 binary64) y)))
(/.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) (/.f64 #s(literal 1 binary64) y))
(/.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 (neg.f64 x) (*.f64 y (cosh.f64 x))))
(/.f64 (*.f64 y (cosh.f64 x)) x)
(/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (*.f64 y (cosh.f64 x))))
(/.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 (/.f64 #s(literal 1 binary64) (cosh.f64 x)) (neg.f64 x)) (neg.f64 y)))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (cosh.f64 x)) x) y))
(/.f64 #s(literal 1 binary64) (/.f64 x (*.f64 y (cosh.f64 x))))
(/.f64 (neg.f64 y) (*.f64 (/.f64 #s(literal 1 binary64) (cosh.f64 x)) (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) (/.f64 #s(literal 1 binary64) (cosh.f64 x)))
(/.f64 y (*.f64 (/.f64 #s(literal 1 binary64) (cosh.f64 x)) x))
(/.f64 y (/.f64 x (cosh.f64 x)))
(/.f64 (cosh.f64 x) (/.f64 x y))
(neg.f64 (/.f64 (neg.f64 y) (*.f64 (/.f64 #s(literal 1 binary64) (cosh.f64 x)) 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 (exp.f64 (+.f64 x x)) (.f64 #s(literal 2 binary64) (sinh.f64 x))) (.f64 (/.f64 x y) #s(literal 2 binary64))) (/.f64 (/.f64 (exp.f64 (-.f64 (neg.f64 x) x)) (.f64 #s(literal 2 binary64) (sinh.f64 x))) (.f64 (/.f64 x y) #s(literal 2 binary64))))
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (cosh.f64 x))) (*.f64 (/.f64 (cosh.f64 x) x) (neg.f64 y)))
(-.f64 (/.f64 #s(literal 0 binary64) (.f64 (/.f64 #s(literal 1 binary64) (cosh.f64 x)) x)) (/.f64 (neg.f64 y) (.f64 (/.f64 #s(literal 1 binary64) (cosh.f64 x)) 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 (/.f64 #s(literal 1 binary64) (cosh.f64 x)) #s(literal -1/2 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (cosh.f64 x)) #s(literal -1/2 binary64)))
(.f64 (pow.f64 (/.f64 #s(literal 2 binary64) (-.f64 (exp.f64 (+.f64 x x)) (exp.f64 (-.f64 (neg.f64 x) 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 (exp.f64 (.f64 (neg.f64 x) #s(literal 3 binary64))) (exp.f64 (*.f64 x #s(literal 3 binary64))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (expm1.f64 (-.f64 (neg.f64 x) x)) (exp.f64 (+.f64 x x)))))
(.f64 (.f64 (-.f64 (exp.f64 (+.f64 x x)) (exp.f64 (-.f64 (neg.f64 x) x))) #s(literal 1/2 binary64)) (/.f64 #s(literal -1 binary64) (*.f64 #s(literal -2 binary64) (sinh.f64 x))))
(.f64 (.f64 (+.f64 (exp.f64 (.f64 (neg.f64 x) #s(literal 3 binary64))) (exp.f64 (.f64 x #s(literal 3 binary64)))) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (expm1.f64 (-.f64 (neg.f64 x) x)) (exp.f64 (+.f64 x x)))))
(*.f64 (neg.f64 (cosh.f64 x)) #s(literal -1 binary64))
(.f64 (-.f64 (exp.f64 (+.f64 x x)) (exp.f64 (-.f64 (neg.f64 x) x))) (/.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 (exp.f64 (.f64 (neg.f64 x) #s(literal 3 binary64))) (exp.f64 (.f64 x #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) (+.f64 (expm1.f64 (-.f64 (neg.f64 x) x)) (exp.f64 (+.f64 x 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 (/.f64 #s(literal 1 binary64) (cosh.f64 x)) #s(literal -1 binary64))
(/.f64 (neg.f64 (.f64 (-.f64 (exp.f64 (+.f64 x x)) (exp.f64 (-.f64 (neg.f64 x) x))) #s(literal 1/2 binary64))) (.f64 #s(literal -2 binary64) (sinh.f64 x)))
(/.f64 (neg.f64 (.f64 (+.f64 (exp.f64 (.f64 (neg.f64 x) #s(literal 3 binary64))) (exp.f64 (*.f64 x #s(literal 3 binary64)))) #s(literal 1/2 binary64))) (neg.f64 (+.f64 (expm1.f64 (-.f64 (neg.f64 x) x)) (exp.f64 (+.f64 x x)))))
(/.f64 (.f64 (-.f64 (exp.f64 (+.f64 x x)) (exp.f64 (-.f64 (neg.f64 x) x))) #s(literal 1/2 binary64)) (.f64 #s(literal 2 binary64) (sinh.f64 x)))
(/.f64 (.f64 (+.f64 (exp.f64 (.f64 (neg.f64 x) #s(literal 3 binary64))) (exp.f64 (*.f64 x #s(literal 3 binary64)))) #s(literal 1/2 binary64)) (+.f64 (expm1.f64 (-.f64 (neg.f64 x) x)) (exp.f64 (+.f64 x x))))
(/.f64 (neg.f64 (-.f64 (exp.f64 (+.f64 x x)) (exp.f64 (-.f64 (neg.f64 x) x)))) (neg.f64 (.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) (sinh.f64 x)))))
(/.f64 (neg.f64 (+.f64 (exp.f64 (.f64 (neg.f64 x) #s(literal 3 binary64))) (exp.f64 (.f64 x #s(literal 3 binary64))))) (neg.f64 (*.f64 #s(literal 2 binary64) (+.f64 (expm1.f64 (-.f64 (neg.f64 x) x)) (exp.f64 (+.f64 x x))))))
(/.f64 (neg.f64 (cosh.f64 x)) #s(literal -1 binary64))
(/.f64 (-.f64 (exp.f64 (+.f64 x x)) (exp.f64 (-.f64 (neg.f64 x) x))) (.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) (sinh.f64 x))))
(/.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) (*.f64 #s(literal -2 binary64) (cosh.f64 x))))
(/.f64 (+.f64 (exp.f64 (.f64 (neg.f64 x) #s(literal 3 binary64))) (exp.f64 (.f64 x #s(literal 3 binary64)))) (*.f64 #s(literal 2 binary64) (+.f64 (expm1.f64 (-.f64 (neg.f64 x) x)) (exp.f64 (+.f64 x 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 (exp.f64 (+.f64 x x)) (exp.f64 (-.f64 (neg.f64 x) x))) #s(literal 1/2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (expm1.f64 (-.f64 (neg.f64 x) x)) (exp.f64 (+.f64 x x))) (.f64 (+.f64 (exp.f64 (.f64 (neg.f64 x) #s(literal 3 binary64))) (exp.f64 (*.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 (exp.f64 (+.f64 x x)) (exp.f64 (-.f64 (neg.f64 x) x)))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal 2 binary64) (+.f64 (expm1.f64 (-.f64 (neg.f64 x) x)) (exp.f64 (+.f64 x x)))) (+.f64 (exp.f64 (.f64 (neg.f64 x) #s(literal 3 binary64))) (exp.f64 (*.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) (/.f64 #s(literal 1 binary64) (cosh.f64 x)))
(/.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 (exp.f64 (+.f64 x x)) (.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) (sinh.f64 x)))) (/.f64 (exp.f64 (-.f64 (neg.f64 x) x)) (.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) (sinh.f64 x)))))
(-.f64 (/.f64 (/.f64 (exp.f64 (+.f64 x x)) (.f64 #s(literal 2 binary64) (sinh.f64 x))) #s(literal 2 binary64)) (/.f64 (/.f64 (exp.f64 (-.f64 (neg.f64 x) x)) (.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 (/.f64 #s(literal 1 binary64) (cosh.f64 x))) #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 (/.f64 #s(literal 1 binary64) x) 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 (/.f64 #s(literal 1 binary64) x))
(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 (/.f64 #s(literal 1 binary64) y)))
(/.f64 (/.f64 (neg.f64 y) x) #s(literal -1 binary64))
(/.f64 #s(literal -1 binary64) (/.f64 (neg.f64 x) y))
(/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) y))
(/.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) (/.f64 #s(literal 1 binary64) y)))
(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 (0.6%)

Memory: -14.9MiB live, 103.6MiB allocated
Compiler: Compiled 6 745 to 1 060 computations (84.3% saved)

prune18.0ms (0.2%)

Memory

16.4MiB live, 55.5MiB allocated

Pruning

16 alts after pruning (16 fresh and 0 done)

	Pruned	Kept	Total
New	465	16	481
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	466	16	482

Accuracy

100.0%

Counts

482 → 16

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	96.1%	(/.f64 (/.f64 (*.f64 y (cosh.f64 x)) z) x)
	79.2%	(/.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)
	75.8%	(/.f64 (.f64 #s(approx (cosh x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) (/.f64 y x)) z)
▶	69.4%	(/.f64 (.f64 #s(approx (cosh x) (fma.f64 (.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) (/.f64 y x)) z)
	77.7%	(/.f64 (cosh.f64 x) (*.f64 (/.f64 x y) z))
	47.8%	(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 y x)) z)
	65.3%	(/.f64 #s(approx (* (cosh x) (/ y x)) (*.f64 (fma.f64 x #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) y)) z)
	89.8%	(/.f64 #s(approx (* (cosh x) (/ y x)) (.f64 (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (.f64 x x) #s(literal 1/24 binary64)) (.f64 x x) #s(literal 1/2 binary64)) (.f64 x x) #s(literal 1 binary64)) x) y)) z)
	86.4%	(/.f64 #s(approx (* (cosh x) (/ y x)) (.f64 (/.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) x) y)) z)
	95.8%	(/.f64 #s(literal 1 binary64) (.f64 (/.f64 z (.f64 y (cosh.f64 x))) x))
▶	94.7%	(*.f64 y (/.f64 (/.f64 (cosh.f64 x) x) z))
	79.8%	(.f64 y (/.f64 (cosh.f64 x) (.f64 z x)))
▶	46.9%	#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 y (*.f64 z x)))
▶	68.7%	#s(approx (/ (* (cosh x) (/ y x)) z) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (.f64 x x) #s(literal 1/24 binary64)) (.f64 x x) #s(literal 1/2 binary64)) (.f64 x x) #s(literal 1 binary64)) (/.f64 y (*.f64 z x))))
	67.1%	#s(approx (/ (* (cosh x) (/ y x)) 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)) (/.f64 y (.f64 z x))))
	62.7%	#s(approx (/ (* (cosh x) (/ y x)) z) (.f64 (fma.f64 (.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)) (/.f64 y (*.f64 z x))))

Compiler

Compiled 524 to 308 computations (41.2% saved)

simplify165.0ms (1.5%)

Memory

-25.7MiB live, 171.5MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

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

Rules

14 580×	`lower-fma.f32`
14 572×	`lower-fma.f64`
4 022×	`lower-*.f32`
4 010×	`lower-*.f64`
3 374×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	32	229
0	54	229
1	102	229
2	190	229
3	437	229
4	1227	229
5	3815	227
6	6623	227
7	7475	227
8	7814	227
0	8037	225

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

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

localize83.0ms (0.8%)

Memory

-3.7MiB live, 118.6MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score
accuracy	0	(cosh.f64 x)
accuracy	0.00390625	(/.f64 (cosh.f64 x) x)
accuracy	0.1015625	(/.f64 (/.f64 (cosh.f64 x) x) z)
accuracy	3.4024201583630855	(*.f64 y (/.f64 (/.f64 (cosh.f64 x) x) z))
accuracy	0.2902980104736721	(fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64))
accuracy	6.625264272816479	(/.f64 y (*.f64 z x))
accuracy	7.618306942031679	#s(approx (/ (* (cosh x) (/ y x)) z) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (.f64 x x) #s(literal 1/24 binary64)) (.f64 x x) #s(literal 1/2 binary64)) (.f64 x x) #s(literal 1 binary64)) (/.f64 y (*.f64 z x))))
accuracy	8.793538884249793	(.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 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 (*.f64 z x)))
accuracy	0	(*.f64 x x)
accuracy	2.4637956758681123	(/.f64 (.f64 #s(approx (cosh x) (fma.f64 (.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) (/.f64 y x)) z)
accuracy	5.378906250000001	(.f64 #s(approx (cosh x) (fma.f64 (.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) (/.f64 y x))
accuracy	14.444043400663636	#s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)))
accuracy	0	(*.f64 z x)
accuracy	6.625264272816479	(/.f64 y (*.f64 z x))
accuracy	30.94032551369074	#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 y (*.f64 z x)))
accuracy	0	(cosh.f64 x)
accuracy	0.00390625	(/.f64 (*.f64 y (cosh.f64 x)) z)
accuracy	0.00390625	(*.f64 y (cosh.f64 x))
accuracy	2.5134695635415443	(/.f64 (/.f64 (*.f64 y (cosh.f64 x)) z) x)

Samples

61.0ms

256×

valid

Compiler

Compiled 191 to 31 computations (83.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 43.0ms

ival-mult: 19.0ms (43.8% of total)

ival-div: 11.0ms (25.4% of total)

const: 6.0ms (13.8% of total)

ival-add: 4.0ms (9.2% of total)

ival-cosh: 3.0ms (6.9% of total)

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

exact: 0.0ms (0% of total)

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

series73.0ms (0.7%)

Memory

20.8MiB live, 58.7MiB allocated

Counts

20 → 480

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 #s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 y (.f64 z x))) (patch #s(approx (/ ( (cosh x) (/ y x)) z) (/.f64 y (*.f64 z x))) #<representation binary64>) () ())
#s(alt (/.f64 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 #s(approx (cosh x) (fma.f64 (.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) (/.f64 y x)) z) (patch (/.f64 (.f64 #s(approx (cosh x) (fma.f64 (.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) (/.f64 y x)) z) #<representation binary64>) () ())
#s(alt (.f64 #s(approx (cosh x) (fma.f64 (.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) (/.f64 y x)) (patch (.f64 #s(approx (cosh x) (fma.f64 (.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) (/.f64 y x)) #<representation binary64>) () ())
#s(alt #s(approx (cosh x) (fma.f64 (.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) (patch #s(approx (cosh x) (fma.f64 (.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) #<representation binary64>) () ())
#s(alt (fma.f64 (.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)) (patch (fma.f64 (.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt #s(approx (/ (* (cosh x) (/ y x)) z) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (.f64 x x) #s(literal 1/24 binary64)) (.f64 x x) #s(literal 1/2 binary64)) (.f64 x x) #s(literal 1 binary64)) (/.f64 y (.f64 z x)))) (patch #s(approx (/ ( (cosh x) (/ y x)) z) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (.f64 x x) #s(literal 1/24 binary64)) (.f64 x x) #s(literal 1/2 binary64)) (.f64 x x) #s(literal 1 binary64)) (/.f64 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)) (/.f64 y (.f64 z x))) (patch (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (.f64 x x) #s(literal 1/24 binary64)) (.f64 x x) #s(literal 1/2 binary64)) (.f64 x x) #s(literal 1 binary64)) (/.f64 y (.f64 z x))) #<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 (/.f64 (cosh.f64 x) x) z) (patch (/.f64 (/.f64 (cosh.f64 x) x) z) #<representation binary64>) () ())
#s(alt (.f64 y (/.f64 (/.f64 (cosh.f64 x) x) z)) (patch (.f64 y (/.f64 (/.f64 (cosh.f64 x) x) z)) #<representation binary64>) () ())
#s(alt (/.f64 (cosh.f64 x) x) (patch (/.f64 (cosh.f64 x) x) #<representation binary64>) () ())
#s(alt (.f64 x x) (patch (.f64 x 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 #s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 y (.f64 z x))) (patch #s(approx (/ ( (cosh x) (/ y x)) z) (/.f64 y (*.f64 z x))) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) (taylor 0 z) (#s(alt #s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 y (.f64 z x))) (patch #s(approx (/ ( (cosh x) (/ y x)) z) (/.f64 y (*.f64 z x))) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) (taylor 0 z) (#s(alt #s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 y (.f64 z x))) (patch #s(approx (/ ( (cosh x) (/ y x)) z) (/.f64 y (*.f64 z x))) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) (taylor 0 z) (#s(alt #s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 y (.f64 z x))) (patch #s(approx (/ ( (cosh x) (/ y x)) z) (/.f64 y (*.f64 z x))) #<representation binary64>) () ())) ())
#s(alt (/ 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 (* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) (taylor 0 z) (#s(alt (/.f64 (.f64 #s(approx (cosh x) (fma.f64 (.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) (/.f64 y x)) z) (patch (/.f64 (.f64 #s(approx (cosh x) (fma.f64 (.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) (/.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 #s(approx (cosh x) (fma.f64 (.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) (/.f64 y x)) z) (patch (/.f64 (.f64 #s(approx (cosh x) (fma.f64 (.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) (/.f64 y x)) z) #<representation binary64>) () ())) ())
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#s(alt (* 1/2 (/ (+ (exp x) (/ 1 (exp x))) (* x z))) (taylor -inf x) (#s(alt (/.f64 (/.f64 (cosh.f64 x) x) z) (patch (/.f64 (/.f64 (cosh.f64 x) x) z) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (+ (exp x) (/ 1 (exp x))) (* x z))) (taylor -inf x) (#s(alt (/.f64 (/.f64 (cosh.f64 x) x) z) (patch (/.f64 (/.f64 (cosh.f64 x) x) z) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) (taylor -inf x) (#s(alt (.f64 y (/.f64 (/.f64 (cosh.f64 x) x) z)) (patch (.f64 y (/.f64 (/.f64 (cosh.f64 x) x) z)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) (taylor -inf x) (#s(alt (.f64 y (/.f64 (/.f64 (cosh.f64 x) x) z)) (patch (.f64 y (/.f64 (/.f64 (cosh.f64 x) x) z)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) (taylor -inf x) (#s(alt (.f64 y (/.f64 (/.f64 (cosh.f64 x) x) z)) (patch (.f64 y (/.f64 (/.f64 (cosh.f64 x) x) z)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) (taylor -inf x) (#s(alt (.f64 y (/.f64 (/.f64 (cosh.f64 x) x) z)) (patch (.f64 y (/.f64 (/.f64 (cosh.f64 x) x) z)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (+ (exp x) (/ 1 (exp x))) x)) (taylor -inf x) (#s(alt (/.f64 (cosh.f64 x) x) (patch (/.f64 (cosh.f64 x) x) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (+ (exp x) (/ 1 (exp x))) x)) (taylor -inf x) (#s(alt (/.f64 (cosh.f64 x) x) (patch (/.f64 (cosh.f64 x) x) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (+ (exp x) (/ 1 (exp x))) x)) (taylor -inf x) (#s(alt (/.f64 (cosh.f64 x) x) (patch (/.f64 (cosh.f64 x) x) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (+ (exp x) (/ 1 (exp x))) x)) (taylor -inf x) (#s(alt (/.f64 (cosh.f64 x) x) (patch (/.f64 (cosh.f64 x) x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor -inf x) (#s(alt (.f64 x x) (patch (.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor -inf x) (#s(alt (.f64 x x) (patch (.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor -inf x) (#s(alt (.f64 x x) (patch (.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor -inf x) (#s(alt (.f64 x x) (patch (.f64 x 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
28.0ms	x	@	inf	((/ (/ (* y (cosh x)) z) x) (/ (* y (cosh x)) z) (* y (cosh x)) (cosh x) (/ (* (cosh x) (/ y x)) z) (/ y (* z x)) (* z x) (/ (* (cosh x) (/ y x)) z) (* (cosh x) (/ y x)) (cosh x) (+ (* (* x x) 1/2) 1) (/ (* (cosh x) (/ y x)) z) (* (+ (* (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (* x x)) 1) (/ y (* z x))) (+ (* (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (* x x)) 1) (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (/ (/ (cosh x) x) z) (* y (/ (/ (cosh x) x) z)) (/ (cosh x) x) (* x x) (+ (* 1/720 (* x x)) 1/24))
6.0ms	z	@	inf	((/ (/ (* y (cosh x)) z) x) (/ (* y (cosh x)) z) (* y (cosh x)) (cosh x) (/ (* (cosh x) (/ y x)) z) (/ y (* z x)) (* z x) (/ (* (cosh x) (/ y x)) z) (* (cosh x) (/ y x)) (cosh x) (+ (* (* x x) 1/2) 1) (/ (* (cosh x) (/ y x)) z) (* (+ (* (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (* x x)) 1) (/ y (* z x))) (+ (* (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (* x x)) 1) (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (/ (/ (cosh x) x) z) (* y (/ (/ (cosh x) x) z)) (/ (cosh x) x) (* x 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) (/ y (* z x)) (* z x) (/ (* (cosh x) (/ y x)) z) (* (cosh x) (/ y x)) (cosh x) (+ (* (* x x) 1/2) 1) (/ (* (cosh x) (/ y x)) z) (* (+ (* (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (* x x)) 1) (/ y (* z x))) (+ (* (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (* x x)) 1) (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (/ (/ (cosh x) x) z) (* y (/ (/ (cosh x) x) z)) (/ (cosh x) x) (* x 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) (/ y (* z x)) (* z x) (/ (* (cosh x) (/ y x)) z) (* (cosh x) (/ y x)) (cosh x) (+ (* (* x x) 1/2) 1) (/ (* (cosh x) (/ y x)) z) (* (+ (* (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (* x x)) 1) (/ y (* z x))) (+ (* (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (* x x)) 1) (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (/ (/ (cosh x) x) z) (* y (/ (/ (cosh x) x) z)) (/ (cosh x) x) (* x x) (+ (* 1/720 (* x x)) 1/24))
4.0ms	y	@	-inf	((/ (/ (* y (cosh x)) z) x) (/ (* y (cosh x)) z) (* y (cosh x)) (cosh x) (/ (* (cosh x) (/ y x)) z) (/ y (* z x)) (* z x) (/ (* (cosh x) (/ y x)) z) (* (cosh x) (/ y x)) (cosh x) (+ (* (* x x) 1/2) 1) (/ (* (cosh x) (/ y x)) z) (* (+ (* (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (* x x)) 1) (/ y (* z x))) (+ (* (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (* x x)) 1) (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (/ (/ (cosh x) x) z) (* y (/ (/ (cosh x) x) z)) (/ (cosh x) x) (* x x) (+ (* 1/720 (* x x)) 1/24))

simplify290.0ms (2.7%)

Memory

24.2MiB live, 211.9MiB allocated

Algorithm

1×	egg-herbie

Rules

29 182×	`lower-fma.f64`
29 182×	`lower-fma.f32`
6 090×	`lower-*.f64`
6 090×	`lower-*.f32`
3 180×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	167	5882
1	509	5874
2	1564	5748
3	4547	5746
0	8138	5555

Stop Event

1×	iter limit
1×	node limit

Counts

480 → 479

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

rewrite387.0ms (3.6%)

Memory

-17.2MiB live, 293.4MiB allocated

Rules

8 934×	`lower-fma.f32`
8 926×	`lower-fma.f64`
6 188×	`lower-*.f32`
6 176×	`lower-*.f64`
3 474×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	32	192
0	54	192
1	198	192
2	1279	192
0	8830	192

Stop Event

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

Counts

20 → 1 037

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

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

eval486.0ms (4.5%)

Memory: 40.6MiB live, 344.3MiB allocated
Compiler: Compiled 41 373 to 2 720 computations (93.4% saved)

prune195.0ms (1.8%)

Memory

-10.7MiB live, 154.1MiB allocated

Pruning

37 alts after pruning (36 fresh and 1 done)

	Pruned	Kept	Total
New	1 687	32	1 719
Fresh	7	4	11
Picked	4	1	5
Done	0	0	0
Total	1 698	37	1 735

Accuracy

100.0%

Counts

1 735 → 37

Alt Table

Click to see full alt table

Status	Accuracy	Program
	87.0%	(/.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)
▶	80.2%	(/.f64 (/.f64 (.f64 y #s(approx (cosh x) (fma.f64 (.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)))) z) x)
	80.5%	(/.f64 (.f64 (cosh.f64 x) y) (.f64 z x))
	79.2%	(/.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)
	66.2%	(/.f64 (.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (.f64 x x) #s(literal 1 binary64))) y) (*.f64 z x))
	30.2%	(/.f64 (.f64 #s(approx (cosh x) #s(approx (+ ( (* x x) 1/2) 1) (.f64 (.f64 x x) #s(literal 1/2 binary64)))) (/.f64 y x)) z)
	52.1%	(/.f64 #s(approx (/ (* y (cosh x)) z) (/.f64 y z)) x)
	47.8%	(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 y x)) z)
▶	65.3%	(/.f64 #s(approx (* (cosh x) (/ y x)) (*.f64 (fma.f64 x #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) y)) z)
▶	89.8%	(/.f64 #s(approx (* (cosh x) (/ y x)) (.f64 (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (.f64 x x) #s(literal 1/24 binary64)) (.f64 x x) #s(literal 1/2 binary64)) (.f64 x x) #s(literal 1 binary64)) x) y)) z)
	62.3%	(/.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (.f64 x x) #s(literal 1 binary64))) (/.f64 (.f64 z x) y))
	79.5%	(/.f64 #s(literal 1 binary64) (.f64 (/.f64 z (.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) y)) x))
	70.9%	(.f64 (/.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (.f64 x x) #s(literal 1 binary64))) z) (/.f64 y x))
	74.4%	(.f64 (/.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (.f64 x x) #s(literal 1 binary64))) x) (/.f64 y z))
	62.7%	(.f64 (/.f64 y (.f64 z x)) #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))))
	65.5%	(.f64 (/.f64 #s(literal 1 binary64) (.f64 z x)) (.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (.f64 x x) #s(literal 1 binary64))) y))
	66.6%	(.f64 (.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (.f64 x x) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (.f64 z x))) y)
	85.2%	(.f64 y (/.f64 (/.f64 #s(approx (cosh x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) x) z))
	77.6%	(.f64 y (/.f64 (/.f64 #s(approx (cosh x) (fma.f64 (.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) x) z))
	46.3%	(*.f64 y (/.f64 (/.f64 #s(approx (cosh x) #s(literal 1 binary64)) x) z))
	85.7%	(.f64 y #s(approx (/ (/ (cosh x) x) z) (/.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)))
▶	46.3%	(.f64 y #s(approx (/ (/ (cosh x) x) z) (/.f64 #s(literal 1 binary64) (.f64 z x))))
	83.8%	#s(approx (/ (* (cosh x) (/ y x)) z) (fma.f64 (.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) (/.f64 y z)) (/.f64 #s(literal 1 binary64) x) (/.f64 y (.f64 z x))))
	83.2%	#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 z y)))
▶	74.8%	#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)))
✓	46.9%	#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 y (*.f64 z x)))
	48.0%	#s(approx (/ (* (cosh x) (/ y x)) z) (.f64 (fma.f64 (fma.f64 (/.f64 (fma.f64 (.f64 #s(literal 1/373248000 binary64) (.f64 (.f64 x x) x)) (.f64 (.f64 x x) x) #s(literal 1/13824 binary64)) (+.f64 #s(literal 1/576 binary64) (.f64 (.f64 x x) (-.f64 (.f64 #s(literal 1/518400 binary64) (.f64 x x)) #s(literal 1/17280 binary64))))) (.f64 x x) #s(literal 1/2 binary64)) (.f64 x x) #s(literal 1 binary64)) (/.f64 y (*.f64 z x))))
	68.7%	#s(approx (/ (* (cosh x) (/ y x)) z) (.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)) (/.f64 y (*.f64 z x))))
	48.7%	#s(approx (/ (* (cosh x) (/ y x)) z) (.f64 (fma.f64 (/.f64 (fma.f64 (.f64 (.f64 (.f64 x x) x) (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)) x) #s(literal -1/4 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 x x) #s(literal 1 binary64)) (/.f64 y (*.f64 z x))))
	50.5%	#s(approx (/ (* (cosh x) (/ y x)) z) (.f64 (fma.f64 (.f64 (fma.f64 (.f64 (.f64 (.f64 x x) x) (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)) x) #s(literal -1/4 binary64)) (.f64 x x)) (/.f64 #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))) #s(literal 1 binary64)) (/.f64 y (.f64 z x))))
	68.7%	#s(approx (/ (* (cosh x) (/ y x)) z) (.f64 (fma.f64 (.f64 (fma.f64 #s(literal 1/720 binary64) (.f64 x x) #s(literal 1/24 binary64)) x) (.f64 (.f64 x x) x) (fma.f64 #s(literal 1/2 binary64) (.f64 x x) #s(literal 1 binary64))) (/.f64 y (*.f64 z x))))
	68.6%	#s(approx (/ (* (cosh x) (/ y x)) z) (.f64 (fma.f64 #s(approx (+ ( (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (.f64 (.f64 (fma.f64 #s(literal 1/720 binary64) (.f64 x x) #s(literal 1/24 binary64)) x) x)) (.f64 x x) #s(literal 1 binary64)) (/.f64 y (*.f64 z x))))
	68.6%	#s(approx (/ (* (cosh x) (/ y x)) z) (.f64 (fma.f64 #s(approx (+ ( (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (.f64 (.f64 (.f64 x x) x) (.f64 #s(literal 1/720 binary64) x))) (.f64 x x) #s(literal 1 binary64)) (/.f64 y (.f64 z x))))
	52.1%	#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (/.f64 y z) (/.f64 #s(literal 1 binary64) x)))
	47.8%	#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (/.f64 y x) (/.f64 #s(literal 1 binary64) z)))
	79.2%	#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)) (/.f64 y x)) (/.f64 #s(literal 1 binary64) z)))
	41.9%	#s(approx (/ (* (cosh x) (/ y x)) z) #s(approx (* (+ (* (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (* x x)) 1) (/ y (* z x))) (.f64 (.f64 (/.f64 y z) #s(literal 1/720 binary64)) (.f64 (.f64 (.f64 (.f64 x x) x) x) x))))

Compiler

Compiled 1 569 to 859 computations (45.3% saved)

simplify155.0ms (1.5%)

Memory

-14.4MiB live, 85.0MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 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)) y)
cost-diff	0	(/.f64 (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (.f64 x x) #s(literal 1/24 binary64)) (.f64 x x) #s(literal 1/2 binary64)) (.f64 x x) #s(literal 1 binary64)) y) (*.f64 z x))
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	#s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)))
cost-diff	0	(.f64 y #s(approx (cosh x) (fma.f64 (.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))))
cost-diff	0	(/.f64 (.f64 y #s(approx (cosh x) (fma.f64 (.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)))) z)
cost-diff	384	(/.f64 (/.f64 (.f64 y #s(approx (cosh x) (fma.f64 (.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)))) z) x)
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 z x)
cost-diff	0	(/.f64 #s(literal 1 binary64) (*.f64 z x))
cost-diff	0	#s(approx (/ (/ (cosh x) x) z) (/.f64 #s(literal 1 binary64) (*.f64 z x)))
cost-diff	0	(.f64 y #s(approx (/ (/ (cosh x) x) z) (/.f64 #s(literal 1 binary64) (.f64 z x))))
cost-diff	0	(.f64 (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (.f64 x x) #s(literal 1/24 binary64)) (.f64 x x) #s(literal 1/2 binary64)) (.f64 x x) #s(literal 1 binary64)) x) y)
cost-diff	0	#s(approx (* (cosh x) (/ y x)) (.f64 (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (.f64 x x) #s(literal 1/24 binary64)) (.f64 x x) #s(literal 1/2 binary64)) (.f64 x x) #s(literal 1 binary64)) x) y))
cost-diff	0	(/.f64 #s(approx (* (cosh x) (/ y x)) (.f64 (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (.f64 x x) #s(literal 1/24 binary64)) (.f64 x x) #s(literal 1/2 binary64)) (.f64 x x) #s(literal 1 binary64)) x) y)) z)
cost-diff	320	(/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 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)

Rules

9 164×	`lower-fma.f32`
9 154×	`lower-fma.f64`
3 854×	`lower-*.f32`
3 840×	`lower-*.f64`
1 894×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	38	408
0	63	408
1	113	408
2	208	408
3	428	408
4	1269	408
5	3415	402
6	6217	402
7	7456	402
8	7903	402
0	8019	396

Stop Event

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

Calls

Call 1

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

localize176.0ms (1.6%)

Memory

-25.7MiB live, 138.3MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.2902980104736721	(fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64))
accuracy	0.7099336212819511	(.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 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	7.618306942031679	#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	12.490293832903996	(/.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	0.00390625	(/.f64 (.f64 y #s(approx (cosh x) (fma.f64 (.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)))) z)
accuracy	0.00390625	(.f64 y #s(approx (cosh x) (fma.f64 (.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))))
accuracy	2.5134695635415443	(/.f64 (/.f64 (.f64 y #s(approx (cosh x) (fma.f64 (.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)))) z) x)
accuracy	14.444043400663636	#s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)))
accuracy	0.00390625	(fma.f64 x #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))
accuracy	0.10546875	(*.f64 (fma.f64 x #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) y)
accuracy	2.4637956758681123	(/.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	21.551998173666966	#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 z x)
accuracy	0.6761965972185373	(/.f64 #s(literal 1 binary64) (*.f64 z x))
accuracy	3.4024201583630855	(.f64 y #s(approx (/ (/ (cosh x) x) z) (/.f64 #s(literal 1 binary64) (.f64 z x))))
accuracy	32.18760657922566	#s(approx (/ (/ (cosh x) x) z) (/.f64 #s(literal 1 binary64) (*.f64 z x)))
accuracy	0.911131101744412	(/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (.f64 x x) #s(literal 1/24 binary64)) (.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) x)
accuracy	2.4637956758681123	(/.f64 #s(approx (* (cosh x) (/ y x)) (.f64 (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (.f64 x x) #s(literal 1/24 binary64)) (.f64 x x) #s(literal 1/2 binary64)) (.f64 x x) #s(literal 1 binary64)) x) y)) z)
accuracy	2.6433361709563385	(.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)
accuracy	7.298314832622565	#s(approx (* (cosh x) (/ y x)) (.f64 (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (.f64 x x) #s(literal 1/24 binary64)) (.f64 x x) #s(literal 1/2 binary64)) (.f64 x x) #s(literal 1 binary64)) x) y))

Samples

94.0ms

256×

valid

Compiler

Compiled 314 to 38 computations (87.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 73.0ms

ival-mult: 43.0ms (58.9% of total)

ival-div: 15.0ms (20.5% of total)

const: 6.0ms (8.2% of total)

ival-add: 5.0ms (6.8% of total)

ival-cosh: 3.0ms (4.1% of total)

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

exact: 0.0ms (0% of total)

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

series58.0ms (0.5%)

Memory

11.2MiB live, 127.5MiB allocated

Counts

21 → 528

Calls

Call 1

Inputs
#s(alt (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (.f64 x x) #s(literal 1/24 binary64)) (.f64 x x) #s(literal 1/2 binary64)) (.f64 x x) #s(literal 1 binary64)) x) (patch (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (.f64 x x) #s(literal 1/24 binary64)) (.f64 x x) #s(literal 1/2 binary64)) (.f64 x x) #s(literal 1 binary64)) x) #<representation binary64>) () ())
#s(alt (/.f64 #s(approx (* (cosh x) (/ y x)) (.f64 (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (.f64 x x) #s(literal 1/24 binary64)) (.f64 x x) #s(literal 1/2 binary64)) (.f64 x x) #s(literal 1 binary64)) x) y)) z) (patch (/.f64 #s(approx (* (cosh x) (/ y x)) (.f64 (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (.f64 x x) #s(literal 1/24 binary64)) (.f64 x x) #s(literal 1/2 binary64)) (.f64 x x) #s(literal 1 binary64)) x) y)) z) #<representation binary64>) () ())
#s(alt #s(approx (* (cosh x) (/ y x)) (.f64 (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (.f64 x x) #s(literal 1/24 binary64)) (.f64 x x) #s(literal 1/2 binary64)) (.f64 x x) #s(literal 1 binary64)) x) y)) (patch #s(approx (* (cosh x) (/ y x)) (.f64 (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (.f64 x x) #s(literal 1/24 binary64)) (.f64 x x) #s(literal 1/2 binary64)) (.f64 x x) #s(literal 1 binary64)) x) y)) #<representation binary64>) () ())
#s(alt (.f64 (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (.f64 x x) #s(literal 1/24 binary64)) (.f64 x x) #s(literal 1/2 binary64)) (.f64 x x) #s(literal 1 binary64)) x) y) (patch (.f64 (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (.f64 x x) #s(literal 1/24 binary64)) (.f64 x x) #s(literal 1/2 binary64)) (.f64 x x) #s(literal 1 binary64)) x) y) #<representation binary64>) () ())
#s(alt (.f64 y #s(approx (/ (/ (cosh x) x) z) (/.f64 #s(literal 1 binary64) (.f64 z x)))) (patch (.f64 y #s(approx (/ (/ (cosh x) x) z) (/.f64 #s(literal 1 binary64) (.f64 z x)))) #<representation binary64>) () ())
#s(alt #s(approx (/ (/ (cosh x) x) z) (/.f64 #s(literal 1 binary64) (.f64 z x))) (patch #s(approx (/ (/ (cosh x) x) z) (/.f64 #s(literal 1 binary64) (.f64 z x))) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1 binary64) (.f64 z x)) (patch (/.f64 #s(literal 1 binary64) (.f64 z x)) #<representation binary64>) () ())
#s(alt (.f64 z x) (patch (.f64 z 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 y #s(approx (cosh x) (fma.f64 (.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)))) z) x) (patch (/.f64 (/.f64 (.f64 y #s(approx (cosh x) (fma.f64 (.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)))) z) x) #<representation binary64>) () ())
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#s(alt #s(approx (cosh x) (fma.f64 (.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) (patch #s(approx (cosh x) (fma.f64 (.f64 x x) #s(literal 1/2 binary64) #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>) () ())
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Outputs
#s(alt (* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) (taylor 0 z) (#s(alt (/.f64 #s(approx (* (cosh x) (/ y x)) (.f64 (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (.f64 x x) #s(literal 1/24 binary64)) (.f64 x x) #s(literal 1/2 binary64)) (.f64 x x) #s(literal 1 binary64)) x) y)) z) (patch (/.f64 #s(approx (* (cosh x) (/ y x)) (.f64 (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (.f64 x x) #s(literal 1/24 binary64)) (.f64 x x) #s(literal 1/2 binary64)) (.f64 x x) #s(literal 1 binary64)) x) y)) z) #<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 (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (.f64 x x) #s(literal 1/24 binary64)) (.f64 x x) #s(literal 1/2 binary64)) (.f64 x x) #s(literal 1 binary64)) x) y)) z) (patch (/.f64 #s(approx (* (cosh x) (/ y x)) (.f64 (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (.f64 x x) #s(literal 1/24 binary64)) (.f64 x x) #s(literal 1/2 binary64)) (.f64 x x) #s(literal 1 binary64)) x) y)) z) #<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 (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (.f64 x x) #s(literal 1/24 binary64)) (.f64 x x) #s(literal 1/2 binary64)) (.f64 x x) #s(literal 1 binary64)) x) y)) z) (patch (/.f64 #s(approx (* (cosh x) (/ y x)) (.f64 (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (.f64 x x) #s(literal 1/24 binary64)) (.f64 x x) #s(literal 1/2 binary64)) (.f64 x x) #s(literal 1 binary64)) x) y)) z) #<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 (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (.f64 x x) #s(literal 1/24 binary64)) (.f64 x x) #s(literal 1/2 binary64)) (.f64 x x) #s(literal 1 binary64)) x) y)) z) (patch (/.f64 #s(approx (* (cosh x) (/ y x)) (.f64 (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (.f64 x x) #s(literal 1/24 binary64)) (.f64 x x) #s(literal 1/2 binary64)) (.f64 x x) #s(literal 1 binary64)) x) y)) z) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) (taylor 0 z) (#s(alt (.f64 y #s(approx (/ (/ (cosh x) x) z) (/.f64 #s(literal 1 binary64) (.f64 z x)))) (patch (.f64 y #s(approx (/ (/ (cosh x) x) z) (/.f64 #s(literal 1 binary64) (.f64 z x)))) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) (taylor 0 z) (#s(alt (.f64 y #s(approx (/ (/ (cosh x) x) z) (/.f64 #s(literal 1 binary64) (.f64 z x)))) (patch (.f64 y #s(approx (/ (/ (cosh x) x) z) (/.f64 #s(literal 1 binary64) (.f64 z x)))) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) (taylor 0 z) (#s(alt (.f64 y #s(approx (/ (/ (cosh x) x) z) (/.f64 #s(literal 1 binary64) (.f64 z x)))) (patch (.f64 y #s(approx (/ (/ (cosh x) x) z) (/.f64 #s(literal 1 binary64) (.f64 z x)))) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) (taylor 0 z) (#s(alt (.f64 y #s(approx (/ (/ (cosh x) x) z) (/.f64 #s(literal 1 binary64) (.f64 z x)))) (patch (.f64 y #s(approx (/ (/ (cosh x) x) z) (/.f64 #s(literal 1 binary64) (.f64 z x)))) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (+ (exp x) (/ 1 (exp x))) (* x z))) (taylor 0 z) (#s(alt #s(approx (/ (/ (cosh x) x) z) (/.f64 #s(literal 1 binary64) (.f64 z x))) (patch #s(approx (/ (/ (cosh x) x) z) (/.f64 #s(literal 1 binary64) (.f64 z x))) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (+ (exp x) (/ 1 (exp x))) (* x z))) (taylor 0 z) (#s(alt #s(approx (/ (/ (cosh x) x) z) (/.f64 #s(literal 1 binary64) (.f64 z x))) (patch #s(approx (/ (/ (cosh x) x) z) (/.f64 #s(literal 1 binary64) (.f64 z x))) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (+ (exp x) (/ 1 (exp x))) (* x z))) (taylor 0 z) (#s(alt #s(approx (/ (/ (cosh x) x) z) (/.f64 #s(literal 1 binary64) (.f64 z x))) (patch #s(approx (/ (/ (cosh x) x) z) (/.f64 #s(literal 1 binary64) (.f64 z x))) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (+ (exp x) (/ 1 (exp x))) (* x z))) (taylor 0 z) (#s(alt #s(approx (/ (/ (cosh x) x) z) (/.f64 #s(literal 1 binary64) (.f64 z x))) (patch #s(approx (/ (/ (cosh x) x) z) (/.f64 #s(literal 1 binary64) (.f64 z x))) #<representation binary64>) () ())) ())
#s(alt (/ 1 (* x z)) (taylor 0 z) (#s(alt (/.f64 #s(literal 1 binary64) (.f64 z x)) (patch (/.f64 #s(literal 1 binary64) (.f64 z x)) #<representation binary64>) () ())) ())
#s(alt (/ 1 (* x z)) (taylor 0 z) (#s(alt (/.f64 #s(literal 1 binary64) (.f64 z x)) (patch (/.f64 #s(literal 1 binary64) (.f64 z x)) #<representation binary64>) () ())) ())
#s(alt (/ 1 (* x z)) (taylor 0 z) (#s(alt (/.f64 #s(literal 1 binary64) (.f64 z x)) (patch (/.f64 #s(literal 1 binary64) (.f64 z x)) #<representation binary64>) () ())) ())
#s(alt (/ 1 (* x z)) (taylor 0 z) (#s(alt (/.f64 #s(literal 1 binary64) (.f64 z x)) (patch (/.f64 #s(literal 1 binary64) (.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 (* 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 (* 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 (.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)))) z) x) (patch (/.f64 (/.f64 (.f64 y #s(approx (cosh x) (fma.f64 (.f64 x x) #s(literal 1/2 binary64) #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 (.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)))) z) x) (patch (/.f64 (/.f64 (.f64 y #s(approx (cosh x) (fma.f64 (.f64 x x) #s(literal 1/2 binary64) #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 (.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)))) z) x) (patch (/.f64 (/.f64 (.f64 y #s(approx (cosh x) (fma.f64 (.f64 x x) #s(literal 1/2 binary64) #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 (.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)))) z) x) (patch (/.f64 (/.f64 (.f64 y #s(approx (cosh x) (fma.f64 (.f64 x x) #s(literal 1/2 binary64) #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 (.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)))) z) (patch (/.f64 (.f64 y #s(approx (cosh x) (fma.f64 (.f64 x x) #s(literal 1/2 binary64) #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 (.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)))) z) (patch (/.f64 (.f64 y #s(approx (cosh x) (fma.f64 (.f64 x x) #s(literal 1/2 binary64) #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 (.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)))) z) (patch (/.f64 (.f64 y #s(approx (cosh x) (fma.f64 (.f64 x x) #s(literal 1/2 binary64) #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 (.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)))) z) (patch (/.f64 (.f64 y #s(approx (cosh x) (fma.f64 (.f64 x x) #s(literal 1/2 binary64) #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 (/ (* (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 (* 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)) 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 (* 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)) 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>) () ())) ())
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#s(alt (* 1/2 x) (taylor -inf x) (#s(alt (fma.f64 x #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) (patch (fma.f64 x #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1/2 (/ 1 (pow x 2)))) (taylor -inf x) (#s(alt (fma.f64 x #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) (patch (fma.f64 x #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1/2 (/ 1 (pow x 2)))) (taylor -inf x) (#s(alt (fma.f64 x #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) (patch (fma.f64 x #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1/2 (/ 1 (pow x 2)))) (taylor -inf x) (#s(alt (fma.f64 x #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) (patch (fma.f64 x #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) (taylor -inf x) (#s(alt (/.f64 (/.f64 (.f64 y #s(approx (cosh x) (fma.f64 (.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)))) z) x) (patch (/.f64 (/.f64 (.f64 y #s(approx (cosh x) (fma.f64 (.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)))) z) x) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) (taylor -inf x) (#s(alt (/.f64 (/.f64 (.f64 y #s(approx (cosh x) (fma.f64 (.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)))) z) x) (patch (/.f64 (/.f64 (.f64 y #s(approx (cosh x) (fma.f64 (.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)))) z) x) #<representation binary64>) () ())) ())
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#s(alt (* 1/2 (* y (+ (exp x) (/ 1 (exp x))))) (taylor -inf x) (#s(alt (.f64 y #s(approx (cosh x) (fma.f64 (.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)))) (patch (.f64 y #s(approx (cosh x) (fma.f64 (.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (* y (+ (exp x) (/ 1 (exp x))))) (taylor -inf x) (#s(alt (.f64 y #s(approx (cosh x) (fma.f64 (.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)))) (patch (.f64 y #s(approx (cosh x) (fma.f64 (.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (+ (exp x) (/ 1 (exp x)))) (taylor -inf x) (#s(alt #s(approx (cosh x) (fma.f64 (.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) (patch #s(approx (cosh x) (fma.f64 (.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (+ (exp x) (/ 1 (exp x)))) (taylor -inf x) (#s(alt #s(approx (cosh x) (fma.f64 (.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) (patch #s(approx (cosh x) (fma.f64 (.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (+ (exp x) (/ 1 (exp x)))) (taylor -inf x) (#s(alt #s(approx (cosh x) (fma.f64 (.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) (patch #s(approx (cosh x) (fma.f64 (.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (+ (exp x) (/ 1 (exp x)))) (taylor -inf x) (#s(alt #s(approx (cosh x) (fma.f64 (.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) (patch #s(approx (cosh x) (fma.f64 (.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) (taylor -inf x) (#s(alt #s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 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 (* 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)) 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>) () ())) ())
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#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)) 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 (* 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 6) y)) (taylor -inf x) (#s(alt (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (.f64 x x) #s(literal 1/24 binary64)) (.f64 x x) #s(literal 1/2 binary64)) (.f64 x x) #s(literal 1 binary64)) y) (patch (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (.f64 x x) #s(literal 1/24 binary64)) (.f64 x x) #s(literal 1/2 binary64)) (.f64 x x) #s(literal 1 binary64)) y) #<representation binary64>) () ())) ())
#s(alt (* (pow x 6) (+ (* 1/720 y) (* 1/24 (/ y (pow x 2))))) (taylor -inf x) (#s(alt (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (.f64 x x) #s(literal 1/24 binary64)) (.f64 x x) #s(literal 1/2 binary64)) (.f64 x x) #s(literal 1 binary64)) y) (patch (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (.f64 x x) #s(literal 1/24 binary64)) (.f64 x x) #s(literal 1/2 binary64)) (.f64 x x) #s(literal 1 binary64)) y) #<representation binary64>) () ())) ())
#s(alt (* (pow x 6) (+ (* 1/720 y) (+ (* 1/24 (/ y (pow x 2))) (* 1/2 (/ y (pow x 4)))))) (taylor -inf x) (#s(alt (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (.f64 x x) #s(literal 1/24 binary64)) (.f64 x x) #s(literal 1/2 binary64)) (.f64 x x) #s(literal 1 binary64)) y) (patch (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (.f64 x x) #s(literal 1/24 binary64)) (.f64 x x) #s(literal 1/2 binary64)) (.f64 x x) #s(literal 1 binary64)) y) #<representation binary64>) () ())) ())
#s(alt (* (pow x 6) (+ (* 1/720 y) (+ (* 1/24 (/ y (pow x 2))) (+ (* 1/2 (/ y (pow x 4))) (/ y (pow x 6)))))) (taylor -inf x) (#s(alt (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (.f64 x x) #s(literal 1/24 binary64)) (.f64 x x) #s(literal 1/2 binary64)) (.f64 x x) #s(literal 1 binary64)) y) (patch (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (.f64 x x) #s(literal 1/24 binary64)) (.f64 x x) #s(literal 1/2 binary64)) (.f64 x x) #s(literal 1 binary64)) y) #<representation binary64>) () ())) ())
#s(alt (* 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 (* 1/720 (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
6.0ms	y	@	inf	((/ (+ (* (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (* x x)) 1) x) (/ (* (cosh x) (/ y x)) z) (* (cosh x) (/ y x)) (* (/ (+ (* (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (* x x)) 1) x) y) (* y (/ (/ (cosh x) x) z)) (/ (/ (cosh x) x) z) (/ 1 (* z x)) (* z x) (/ (* (cosh x) (/ y x)) z) (* (cosh x) (/ y x)) (* (+ (* x 1/2) (/ 1 x)) y) (+ (* x 1/2) (/ 1 x)) (/ (/ (* y (cosh x)) z) x) (/ (* y (cosh x)) z) (* y (cosh x)) (cosh x) (/ (* (cosh x) (/ y x)) z) (/ (* (+ (* (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (* x x)) 1) y) (* z x)) (* (+ (* (+ (* (+ (* 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))
6.0ms	x	@	-inf	((/ (+ (* (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (* x x)) 1) x) (/ (* (cosh x) (/ y x)) z) (* (cosh x) (/ y x)) (* (/ (+ (* (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (* x x)) 1) x) y) (* y (/ (/ (cosh x) x) z)) (/ (/ (cosh x) x) z) (/ 1 (* z x)) (* z x) (/ (* (cosh x) (/ y x)) z) (* (cosh x) (/ y x)) (* (+ (* x 1/2) (/ 1 x)) y) (+ (* x 1/2) (/ 1 x)) (/ (/ (* y (cosh x)) z) x) (/ (* y (cosh x)) z) (* y (cosh x)) (cosh x) (/ (* (cosh x) (/ y x)) z) (/ (* (+ (* (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (* x x)) 1) y) (* z x)) (* (+ (* (+ (* (+ (* 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))
4.0ms	y	@	-inf	((/ (+ (* (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (* x x)) 1) x) (/ (* (cosh x) (/ y x)) z) (* (cosh x) (/ y x)) (* (/ (+ (* (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (* x x)) 1) x) y) (* y (/ (/ (cosh x) x) z)) (/ (/ (cosh x) x) z) (/ 1 (* z x)) (* z x) (/ (* (cosh x) (/ y x)) z) (* (cosh x) (/ y x)) (* (+ (* x 1/2) (/ 1 x)) y) (+ (* x 1/2) (/ 1 x)) (/ (/ (* y (cosh x)) z) x) (/ (* y (cosh x)) z) (* y (cosh x)) (cosh x) (/ (* (cosh x) (/ y x)) z) (/ (* (+ (* (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (* x x)) 1) y) (* z x)) (* (+ (* (+ (* (+ (* 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))
3.0ms	z	@	-inf	((/ (+ (* (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (* x x)) 1) x) (/ (* (cosh x) (/ y x)) z) (* (cosh x) (/ y x)) (* (/ (+ (* (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (* x x)) 1) x) y) (* y (/ (/ (cosh x) x) z)) (/ (/ (cosh x) x) z) (/ 1 (* z x)) (* z x) (/ (* (cosh x) (/ y x)) z) (* (cosh x) (/ y x)) (* (+ (* x 1/2) (/ 1 x)) y) (+ (* x 1/2) (/ 1 x)) (/ (/ (* y (cosh x)) z) x) (/ (* y (cosh x)) z) (* y (cosh x)) (cosh x) (/ (* (cosh x) (/ y x)) z) (/ (* (+ (* (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (* x x)) 1) y) (* z x)) (* (+ (* (+ (* (+ (* 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))
3.0ms	x	@	inf	((/ (+ (* (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (* x x)) 1) x) (/ (* (cosh x) (/ y x)) z) (* (cosh x) (/ y x)) (* (/ (+ (* (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (* x x)) 1) x) y) (* y (/ (/ (cosh x) x) z)) (/ (/ (cosh x) x) z) (/ 1 (* z x)) (* z x) (/ (* (cosh x) (/ y x)) z) (* (cosh x) (/ y x)) (* (+ (* x 1/2) (/ 1 x)) y) (+ (* x 1/2) (/ 1 x)) (/ (/ (* y (cosh x)) z) x) (/ (* y (cosh x)) z) (* y (cosh x)) (cosh x) (/ (* (cosh x) (/ y x)) z) (/ (* (+ (* (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (* x x)) 1) y) (* z x)) (* (+ (* (+ (* (+ (* 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))

simplify244.0ms (2.3%)

Memory

-9.2MiB live, 355.0MiB allocated

Algorithm

1×	egg-herbie

Rules

17 786×	`lower-fma.f64`
17 786×	`lower-fma.f32`
5 788×	`lower-*.f64`
5 788×	`lower-*.f32`
2 342×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	225	7024
1	721	7014
2	2242	6865
3	6631	6850
0	8183	6555

Stop Event

1×	iter limit
1×	node limit

Counts

528 → 526

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

rewrite203.0ms (1.9%)

Memory

16.2MiB live, 330.1MiB allocated

Rules

4 814×	`lower-fma.f32`
4 804×	`lower-fma.f64`
4 306×	`lower-*.f32`
4 292×	`lower-*.f64`
4 160×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	38	315
0	63	315
1	241	315
2	1609	315
0	8339	315

Stop Event

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

Counts

21 → 658

Calls

Call 1

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

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

eval276.0ms (2.6%)

Memory: -11.3MiB live, 307.8MiB allocated
Compiler: Compiled 36 117 to 2 367 computations (93.4% saved)

prune66.0ms (0.6%)

Memory

12.9MiB live, 172.7MiB allocated

Pruning

36 alts after pruning (33 fresh and 3 done)

	Pruned	Kept	Total
New	1 324	12	1 336
Fresh	10	21	31
Picked	3	2	5
Done	0	1	1
Total	1 337	36	1 373

Accuracy

100.0%

Counts

1 373 → 36

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	80.2%	(/.f64 (/.f64 (.f64 y #s(approx (cosh x) (fma.f64 (.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)))) z) x)
	80.1%	(/.f64 (.f64 (/.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (.f64 x x) #s(literal 1 binary64))) z) y) x)
	80.5%	(/.f64 (.f64 (cosh.f64 x) y) (.f64 z x))
	79.2%	(/.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)
	66.2%	(/.f64 (.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (.f64 x x) #s(literal 1 binary64))) y) (*.f64 z x))
	30.2%	(/.f64 (.f64 #s(approx (cosh x) #s(approx (+ ( (* x x) 1/2) 1) (.f64 (.f64 x x) #s(literal 1/2 binary64)))) (/.f64 y x)) z)
	52.1%	(/.f64 #s(approx (/ (* y (cosh x)) z) (/.f64 y z)) x)
	47.8%	(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 y x)) z)
▶	89.8%	(/.f64 #s(approx (* (cosh x) (/ y x)) (.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)) x) y)) z)
	78.0%	(/.f64 #s(approx (* (cosh x) (/ 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))) x) y)) z)
▶	24.9%	(/.f64 #s(approx (* (cosh x) (/ y x)) (.f64 #s(approx (+ ( x 1/2) (/ 1 x)) (*.f64 x #s(literal 1/2 binary64))) y)) z)
	66.2%	(/.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (.f64 x x) #s(literal 1 binary64))) (.f64 z (/.f64 x y)))
	74.4%	(.f64 (/.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (.f64 x x) #s(literal 1 binary64))) x) (/.f64 y z))
	62.7%	(.f64 (/.f64 y (.f64 z x)) #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))))
▶	65.5%	(.f64 (/.f64 #s(literal 1 binary64) (.f64 z x)) (.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (.f64 x x) #s(literal 1 binary64))) y))
	66.6%	(.f64 (.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (.f64 x x) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (.f64 z x))) y)
▶	85.2%	(.f64 y (/.f64 (/.f64 #s(approx (cosh x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) x) z))
	66.6%	(.f64 y (/.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (.f64 x x) #s(literal 1 binary64))) (*.f64 z x)))
	46.3%	(*.f64 y #s(approx (/ (/ (cosh x) x) z) (/.f64 (/.f64 #s(literal 1 binary64) z) x)))
✓	46.3%	(.f64 y #s(approx (/ (/ (cosh x) x) z) (/.f64 #s(literal 1 binary64) (.f64 z x))))
	83.8%	#s(approx (/ (* (cosh x) (/ y x)) z) (fma.f64 (.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) (/.f64 y z)) (/.f64 #s(literal 1 binary64) x) (/.f64 y (.f64 z x))))
	74.8%	#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (fma.f64 (.f64 (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (.f64 x x) #s(literal 1/2 binary64)) x) x) y y) (*.f64 z x)))
	83.2%	#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 z y)))
	74.8%	#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)))
	71.0%	#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (.f64 (fma.f64 (fma.f64 #s(approx (+ ( 1/720 (* x x)) 1/24) #s(literal 1/24 binary64)) (.f64 x x) #s(literal 1/2 binary64)) (.f64 x x) #s(literal 1 binary64)) y) (*.f64 z x)))
	53.2%	#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (.f64 (fma.f64 (.f64 (fma.f64 (.f64 (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) x) x) (.f64 (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) x)) x #s(literal -1/4 binary64)) (.f64 x x)) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (.f64 x x) #s(literal -1/2 binary64))) #s(literal 1 binary64)) y) (.f64 z x)))
✓	46.9%	#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 y (*.f64 z x)))
	48.0%	#s(approx (/ (* (cosh x) (/ y x)) z) (.f64 (fma.f64 (fma.f64 (/.f64 (fma.f64 (.f64 #s(literal 1/373248000 binary64) (.f64 (.f64 x x) x)) (.f64 (.f64 x x) x) #s(literal 1/13824 binary64)) (+.f64 #s(literal 1/576 binary64) (.f64 (.f64 x x) (-.f64 (.f64 #s(literal 1/518400 binary64) (.f64 x x)) #s(literal 1/17280 binary64))))) (.f64 x x) #s(literal 1/2 binary64)) (.f64 x x) #s(literal 1 binary64)) (/.f64 y (*.f64 z x))))
	68.7%	#s(approx (/ (* (cosh x) (/ y x)) z) (.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)) (/.f64 y (*.f64 z x))))
	48.7%	#s(approx (/ (* (cosh x) (/ y x)) z) (.f64 (fma.f64 (/.f64 (fma.f64 (.f64 (.f64 (.f64 x x) x) (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)) x) #s(literal -1/4 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 x x) #s(literal 1 binary64)) (/.f64 y (*.f64 z x))))
▶	68.7%	#s(approx (/ (* (cosh x) (/ y x)) z) (.f64 (fma.f64 (.f64 (fma.f64 #s(literal 1/720 binary64) (.f64 x x) #s(literal 1/24 binary64)) x) (.f64 (.f64 x x) x) (fma.f64 #s(literal 1/2 binary64) (.f64 x x) #s(literal 1 binary64))) (/.f64 y (*.f64 z x))))
	68.6%	#s(approx (/ (* (cosh x) (/ y x)) z) (.f64 (fma.f64 #s(approx (+ ( (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (.f64 (.f64 (fma.f64 #s(literal 1/720 binary64) (.f64 x x) #s(literal 1/24 binary64)) x) x)) (.f64 x x) #s(literal 1 binary64)) (/.f64 y (*.f64 z x))))
	68.6%	#s(approx (/ (* (cosh x) (/ y x)) z) (.f64 (fma.f64 #s(approx (+ ( (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (.f64 (.f64 (.f64 x x) x) (.f64 #s(literal 1/720 binary64) x))) (.f64 x x) #s(literal 1 binary64)) (/.f64 y (.f64 z x))))
	79.2%	#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)) (/.f64 y x)) (/.f64 #s(literal 1 binary64) z)))
	73.1%	#s(approx (/ (* (cosh x) (/ y x)) z) (.f64 y (/.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (.f64 x x) #s(literal 1/2 binary64)) (.f64 x x) #s(literal 1 binary64)) (*.f64 z x))))
	41.9%	#s(approx (/ (* (cosh x) (/ y x)) z) #s(approx (* (+ (* (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (* x x)) 1) (/ y (* z x))) (.f64 (.f64 (/.f64 y z) #s(literal 1/720 binary64)) (.f64 (.f64 (.f64 (.f64 x x) x) x) x))))

Compiler

Compiled 1 538 to 828 computations (46.2% saved)

simplify197.0ms (1.8%)

Memory

21.3MiB live, 209.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(.f64 (fma.f64 #s(literal 1/720 binary64) (.f64 x x) #s(literal 1/24 binary64)) x)
cost-diff	0	(.f64 (fma.f64 (.f64 (fma.f64 #s(literal 1/720 binary64) (.f64 x x) #s(literal 1/24 binary64)) x) (.f64 (.f64 x x) x) (fma.f64 #s(literal 1/2 binary64) (.f64 x x) #s(literal 1 binary64))) (/.f64 y (*.f64 z x)))
cost-diff	0	#s(approx (/ (* (cosh x) (/ y x)) z) (.f64 (fma.f64 (.f64 (fma.f64 #s(literal 1/720 binary64) (.f64 x x) #s(literal 1/24 binary64)) x) (.f64 (.f64 x x) x) (fma.f64 #s(literal 1/2 binary64) (.f64 x x) #s(literal 1 binary64))) (/.f64 y (*.f64 z x))))
cost-diff	640	(fma.f64 (.f64 (fma.f64 #s(literal 1/720 binary64) (.f64 x x) #s(literal 1/24 binary64)) x) (.f64 (.f64 x x) x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)))
cost-diff	0	#s(approx (cosh x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 x x) #s(literal 1/2 binary64)) (.f64 x x) #s(literal 1 binary64)))
cost-diff	0	(/.f64 #s(approx (cosh x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 x x) #s(literal 1/2 binary64)) (.f64 x x) #s(literal 1 binary64))) x)
cost-diff	0	(.f64 y (/.f64 (/.f64 #s(approx (cosh x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) x) z))
cost-diff	384	(/.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))) x) z)
cost-diff	0	(.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (.f64 x x) #s(literal 1 binary64))) y)
cost-diff	0	(*.f64 z x)
cost-diff	0	(/.f64 #s(literal 1 binary64) (*.f64 z x))
cost-diff	320	(.f64 (/.f64 #s(literal 1 binary64) (.f64 z x)) (.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (.f64 x x) #s(literal 1 binary64))) y))
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	(/.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)) x)
cost-diff	0	(.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)) x) y)
cost-diff	0	#s(approx (* (cosh x) (/ y x)) (.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)) x) y))
cost-diff	0	(/.f64 #s(approx (* (cosh x) (/ y x)) (.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)) x) y)) z)

Rules

10 874×	`lower-fma.f32`
10 860×	`lower-fma.f64`
5 214×	`lower-*.f32`
5 190×	`lower-*.f64`
2 554×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	50	533
0	82	533
1	153	523
2	308	520
3	788	520
4	2416	520
5	6426	518
6	6867	518
7	7487	518
8	7535	518
9	7644	518
0	8048	509

Stop Event

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

Calls

Call 1

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

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

localize187.0ms (1.7%)

Memory

-19.7MiB live, 293.9MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.2902980104736721	(fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64))
accuracy	6.625264272816479	(/.f64 y (*.f64 z x))
accuracy	7.618306942031679	#s(approx (/ (* (cosh x) (/ y x)) z) (.f64 (fma.f64 (.f64 (fma.f64 #s(literal 1/720 binary64) (.f64 x x) #s(literal 1/24 binary64)) x) (.f64 (.f64 x x) x) (fma.f64 #s(literal 1/2 binary64) (.f64 x x) #s(literal 1 binary64))) (/.f64 y (*.f64 z x))))
accuracy	8.793538884249793	(.f64 (fma.f64 (.f64 (fma.f64 #s(literal 1/720 binary64) (.f64 x x) #s(literal 1/24 binary64)) x) (.f64 (.f64 x x) x) (fma.f64 #s(literal 1/2 binary64) (.f64 x x) #s(literal 1 binary64))) (/.f64 y (*.f64 z x)))
accuracy	0.0859375	(fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64))
accuracy	0.1015625	(/.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))) x) z)
accuracy	3.4024201583630855	(.f64 y (/.f64 (/.f64 #s(approx (cosh x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) x) z))
accuracy	7.585204327137145	#s(approx (cosh x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 x x) #s(literal 1/2 binary64)) (.f64 x x) #s(literal 1 binary64)))
accuracy	0.00390625	(.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (.f64 x x) #s(literal 1 binary64))) y)
accuracy	0.6761965972185373	(/.f64 #s(literal 1 binary64) (*.f64 z x))
accuracy	9.976638908363087	(.f64 (/.f64 #s(literal 1 binary64) (.f64 z x)) (.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (.f64 x x) #s(literal 1 binary64))) y))
accuracy	14.444043400663636	#s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)))
accuracy	0.10546875	(.f64 #s(approx (+ ( x 1/2) (/ 1 x)) (*.f64 x #s(literal 1/2 binary64))) y)
accuracy	2.4637956758681123	(/.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	21.551998173666966	#s(approx (* (cosh x) (/ y x)) (.f64 #s(approx (+ ( x 1/2) (/ 1 x)) (*.f64 x #s(literal 1/2 binary64))) y))
accuracy	30.314241551533424	#s(approx (+ (* x 1/2) (/ 1 x)) (*.f64 x #s(literal 1/2 binary64)))
accuracy	2.4637956758681123	(/.f64 #s(approx (* (cosh x) (/ y x)) (.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)) x) y)) z)
accuracy	2.6433361709563385	(.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)) x) y)
accuracy	7.298314832622565	#s(approx (* (cosh x) (/ y x)) (.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)) x) y))
accuracy	30.221205576468705	#s(approx (+ (* 1/720 (* x x)) 1/24) (.f64 #s(literal 1/720 binary64) (.f64 x x)))

Samples

129.0ms

256×

valid

Compiler

Compiled 344 to 45 computations (86.9% saved)

Precisions

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

ival-mult: 73.0ms (69.2% of total)

ival-div: 12.0ms (11.4% of total)

ival-add: 9.0ms (8.5% of total)

const: 8.0ms (7.6% of total)

ival-cosh: 3.0ms (2.8% of total)

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

exact: 0.0ms (0% of total)

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

series82.0ms (0.8%)

Memory

18.6MiB live, 257.3MiB allocated

Counts

25 → 564

Calls

Call 1

Inputs
#s(alt (/.f64 #s(approx (* (cosh x) (/ y x)) (.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)) x) y)) z) (patch (/.f64 #s(approx (* (cosh x) (/ y x)) (.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)) x) y)) z) #<representation binary64>) () ())
#s(alt #s(approx (* (cosh x) (/ y x)) (.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)) x) y)) (patch #s(approx (* (cosh x) (/ y x)) (.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)) x) y)) #<representation binary64>) () ())
#s(alt (.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)) x) y) (patch (.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)) x) y) #<representation binary64>) () ())
#s(alt (/.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)) x) (patch (/.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)) x) #<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 (.f64 (/.f64 #s(literal 1 binary64) (.f64 z x)) (.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (.f64 x x) #s(literal 1 binary64))) y)) (patch (.f64 (/.f64 #s(literal 1 binary64) (.f64 z x)) (.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (.f64 x x) #s(literal 1 binary64))) y)) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1 binary64) (.f64 z x)) (patch (/.f64 #s(literal 1 binary64) (.f64 z x)) #<representation binary64>) () ())
#s(alt (.f64 z x) (patch (.f64 z x) #<representation binary64>) () ())
#s(alt (.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (.f64 x x) #s(literal 1 binary64))) y) (patch (.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (.f64 x x) #s(literal 1 binary64))) y) #<representation binary64>) () ())
#s(alt (/.f64 (/.f64 #s(approx (cosh x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 x x) #s(literal 1/2 binary64)) (.f64 x x) #s(literal 1 binary64))) x) z) (patch (/.f64 (/.f64 #s(approx (cosh x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 x x) #s(literal 1/2 binary64)) (.f64 x x) #s(literal 1 binary64))) x) z) #<representation binary64>) () ())
#s(alt (.f64 y (/.f64 (/.f64 #s(approx (cosh x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 x x) #s(literal 1/2 binary64)) (.f64 x x) #s(literal 1 binary64))) x) z)) (patch (.f64 y (/.f64 (/.f64 #s(approx (cosh x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 x x) #s(literal 1/2 binary64)) (.f64 x x) #s(literal 1 binary64))) x) z)) #<representation binary64>) () ())
#s(alt (/.f64 #s(approx (cosh x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 x x) #s(literal 1/2 binary64)) (.f64 x x) #s(literal 1 binary64))) x) (patch (/.f64 #s(approx (cosh x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 x x) #s(literal 1/2 binary64)) (.f64 x x) #s(literal 1 binary64))) x) #<representation binary64>) () ())
#s(alt #s(approx (cosh x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 x x) #s(literal 1/2 binary64)) (.f64 x x) #s(literal 1 binary64))) (patch #s(approx (cosh x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 x x) #s(literal 1/2 binary64)) (.f64 x x) #s(literal 1 binary64))) #<representation binary64>) () ())
#s(alt (fma.f64 (.f64 (fma.f64 #s(literal 1/720 binary64) (.f64 x x) #s(literal 1/24 binary64)) x) (.f64 (.f64 x x) x) (fma.f64 #s(literal 1/2 binary64) (.f64 x x) #s(literal 1 binary64))) (patch (fma.f64 (.f64 (fma.f64 #s(literal 1/720 binary64) (.f64 x x) #s(literal 1/24 binary64)) x) (.f64 (.f64 x x) x) (fma.f64 #s(literal 1/2 binary64) (.f64 x x) #s(literal 1 binary64))) #<representation binary64>) () ())
#s(alt #s(approx (/ (* (cosh x) (/ y x)) z) (.f64 (fma.f64 (.f64 (fma.f64 #s(literal 1/720 binary64) (.f64 x x) #s(literal 1/24 binary64)) x) (.f64 (.f64 x x) x) (fma.f64 #s(literal 1/2 binary64) (.f64 x x) #s(literal 1 binary64))) (/.f64 y (.f64 z x)))) (patch #s(approx (/ ( (cosh x) (/ y x)) z) (.f64 (fma.f64 (.f64 (fma.f64 #s(literal 1/720 binary64) (.f64 x x) #s(literal 1/24 binary64)) x) (.f64 (.f64 x x) x) (fma.f64 #s(literal 1/2 binary64) (.f64 x x) #s(literal 1 binary64))) (/.f64 y (*.f64 z x)))) #<representation binary64>) () ())
#s(alt (.f64 (fma.f64 (.f64 (fma.f64 #s(literal 1/720 binary64) (.f64 x x) #s(literal 1/24 binary64)) x) (.f64 (.f64 x x) x) (fma.f64 #s(literal 1/2 binary64) (.f64 x x) #s(literal 1 binary64))) (/.f64 y (.f64 z x))) (patch (.f64 (fma.f64 (.f64 (fma.f64 #s(literal 1/720 binary64) (.f64 x x) #s(literal 1/24 binary64)) x) (.f64 (.f64 x x) x) (fma.f64 #s(literal 1/2 binary64) (.f64 x x) #s(literal 1 binary64))) (/.f64 y (.f64 z x))) #<representation binary64>) () ())
#s(alt (.f64 (fma.f64 #s(literal 1/720 binary64) (.f64 x x) #s(literal 1/24 binary64)) x) (patch (.f64 (fma.f64 #s(literal 1/720 binary64) (.f64 x x) #s(literal 1/24 binary64)) x) #<representation binary64>) () ())
#s(alt #s(approx (+ (* 1/720 (* x x)) 1/24) (.f64 #s(literal 1/720 binary64) (.f64 x x))) (patch #s(approx (+ (* 1/720 (* x x)) 1/24) (.f64 #s(literal 1/720 binary64) (.f64 x x))) #<representation binary64>) () ())
#s(alt #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (.f64 x x) #s(literal 1 binary64))) (patch #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (.f64 x x) #s(literal 1 binary64))) #<representation binary64>) () ())
#s(alt (fma.f64 #s(literal 1/24 binary64) (.f64 x x) #s(literal 1/2 binary64)) (patch (fma.f64 #s(literal 1/24 binary64) (.f64 x x) #s(literal 1/2 binary64)) #<representation binary64>) () ())
#s(alt (/.f64 y (.f64 z x)) (patch (/.f64 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 #s(approx (* (cosh x) (/ y x)) (.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)) x) y)) z) (patch (/.f64 #s(approx (* (cosh x) (/ y x)) (.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)) x) y)) z) #<representation binary64>) () ())) ())
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#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 (fma.f64 (.f64 (fma.f64 #s(literal 1/720 binary64) (.f64 x x) #s(literal 1/24 binary64)) x) (.f64 (.f64 x x) x) (fma.f64 #s(literal 1/2 binary64) (.f64 x x) #s(literal 1 binary64))) (/.f64 y (.f64 z x)))) (patch #s(approx (/ ( (cosh x) (/ y x)) z) (.f64 (fma.f64 (.f64 (fma.f64 #s(literal 1/720 binary64) (.f64 x x) #s(literal 1/24 binary64)) x) (.f64 (.f64 x x) x) (fma.f64 #s(literal 1/2 binary64) (.f64 x x) #s(literal 1 binary64))) (/.f64 y (*.f64 z x)))) #<representation binary64>) () ())) ())
#s(alt (* 1/720 (/ (* (pow x 5) y) z)) (taylor -inf x) (#s(alt (.f64 (fma.f64 (.f64 (fma.f64 #s(literal 1/720 binary64) (.f64 x x) #s(literal 1/24 binary64)) x) (.f64 (.f64 x x) x) (fma.f64 #s(literal 1/2 binary64) (.f64 x x) #s(literal 1 binary64))) (/.f64 y (.f64 z x))) (patch (.f64 (fma.f64 (.f64 (fma.f64 #s(literal 1/720 binary64) (.f64 x x) #s(literal 1/24 binary64)) x) (.f64 (.f64 x x) x) (fma.f64 #s(literal 1/2 binary64) (.f64 x x) #s(literal 1 binary64))) (/.f64 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 (fma.f64 (.f64 (fma.f64 #s(literal 1/720 binary64) (.f64 x x) #s(literal 1/24 binary64)) x) (.f64 (.f64 x x) x) (fma.f64 #s(literal 1/2 binary64) (.f64 x x) #s(literal 1 binary64))) (/.f64 y (.f64 z x))) (patch (.f64 (fma.f64 (.f64 (fma.f64 #s(literal 1/720 binary64) (.f64 x x) #s(literal 1/24 binary64)) x) (.f64 (.f64 x x) x) (fma.f64 #s(literal 1/2 binary64) (.f64 x x) #s(literal 1 binary64))) (/.f64 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 (fma.f64 (.f64 (fma.f64 #s(literal 1/720 binary64) (.f64 x x) #s(literal 1/24 binary64)) x) (.f64 (.f64 x x) x) (fma.f64 #s(literal 1/2 binary64) (.f64 x x) #s(literal 1 binary64))) (/.f64 y (.f64 z x))) (patch (.f64 (fma.f64 (.f64 (fma.f64 #s(literal 1/720 binary64) (.f64 x x) #s(literal 1/24 binary64)) x) (.f64 (.f64 x x) x) (fma.f64 #s(literal 1/2 binary64) (.f64 x x) #s(literal 1 binary64))) (/.f64 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 (fma.f64 (.f64 (fma.f64 #s(literal 1/720 binary64) (.f64 x x) #s(literal 1/24 binary64)) x) (.f64 (.f64 x x) x) (fma.f64 #s(literal 1/2 binary64) (.f64 x x) #s(literal 1 binary64))) (/.f64 y (.f64 z x))) (patch (.f64 (fma.f64 (.f64 (fma.f64 #s(literal 1/720 binary64) (.f64 x x) #s(literal 1/24 binary64)) x) (.f64 (.f64 x x) x) (fma.f64 #s(literal 1/2 binary64) (.f64 x x) #s(literal 1 binary64))) (/.f64 y (.f64 z x))) #<representation binary64>) () ())) ())
#s(alt (* 1/720 (pow x 3)) (taylor -inf x) (#s(alt (.f64 (fma.f64 #s(literal 1/720 binary64) (.f64 x x) #s(literal 1/24 binary64)) x) (patch (.f64 (fma.f64 #s(literal 1/720 binary64) (.f64 x x) #s(literal 1/24 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* (pow x 3) (+ 1/720 (* 1/24 (/ 1 (pow x 2))))) (taylor -inf x) (#s(alt (.f64 (fma.f64 #s(literal 1/720 binary64) (.f64 x x) #s(literal 1/24 binary64)) x) (patch (.f64 (fma.f64 #s(literal 1/720 binary64) (.f64 x x) #s(literal 1/24 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* (pow x 3) (+ 1/720 (* 1/24 (/ 1 (pow x 2))))) (taylor -inf x) (#s(alt (.f64 (fma.f64 #s(literal 1/720 binary64) (.f64 x x) #s(literal 1/24 binary64)) x) (patch (.f64 (fma.f64 #s(literal 1/720 binary64) (.f64 x x) #s(literal 1/24 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* (pow x 3) (+ 1/720 (* 1/24 (/ 1 (pow x 2))))) (taylor -inf x) (#s(alt (.f64 (fma.f64 #s(literal 1/720 binary64) (.f64 x x) #s(literal 1/24 binary64)) x) (patch (.f64 (fma.f64 #s(literal 1/720 binary64) (.f64 x x) #s(literal 1/24 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* 1/720 (pow x 2)) (taylor -inf x) (#s(alt #s(approx (+ (* 1/720 (* x x)) 1/24) (.f64 #s(literal 1/720 binary64) (.f64 x x))) (patch #s(approx (+ (* 1/720 (* x x)) 1/24) (.f64 #s(literal 1/720 binary64) (.f64 x x))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1/720 (* 1/24 (/ 1 (pow x 2))))) (taylor -inf x) (#s(alt #s(approx (+ (* 1/720 (* x x)) 1/24) (.f64 #s(literal 1/720 binary64) (.f64 x x))) (patch #s(approx (+ (* 1/720 (* x x)) 1/24) (.f64 #s(literal 1/720 binary64) (.f64 x x))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1/720 (* 1/24 (/ 1 (pow x 2))))) (taylor -inf x) (#s(alt #s(approx (+ (* 1/720 (* x x)) 1/24) (.f64 #s(literal 1/720 binary64) (.f64 x x))) (patch #s(approx (+ (* 1/720 (* x x)) 1/24) (.f64 #s(literal 1/720 binary64) (.f64 x x))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1/720 (* 1/24 (/ 1 (pow x 2))))) (taylor -inf x) (#s(alt #s(approx (+ (* 1/720 (* x x)) 1/24) (.f64 #s(literal 1/720 binary64) (.f64 x x))) (patch #s(approx (+ (* 1/720 (* x x)) 1/24) (.f64 #s(literal 1/720 binary64) (.f64 x x))) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (+ (exp x) (/ 1 (exp x)))) (taylor -inf x) (#s(alt #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (.f64 x x) #s(literal 1 binary64))) (patch #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (.f64 x x) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (+ (exp x) (/ 1 (exp x)))) (taylor -inf x) (#s(alt #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (.f64 x x) #s(literal 1 binary64))) (patch #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (.f64 x x) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (+ (exp x) (/ 1 (exp x)))) (taylor -inf x) (#s(alt #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (.f64 x x) #s(literal 1 binary64))) (patch #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (.f64 x x) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (+ (exp x) (/ 1 (exp x)))) (taylor -inf x) (#s(alt #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (.f64 x x) #s(literal 1 binary64))) (patch #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (.f64 x x) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 1/24 (pow x 2)) (taylor -inf x) (#s(alt (fma.f64 #s(literal 1/24 binary64) (.f64 x x) #s(literal 1/2 binary64)) (patch (fma.f64 #s(literal 1/24 binary64) (.f64 x x) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1/24 (* 1/2 (/ 1 (pow x 2))))) (taylor -inf x) (#s(alt (fma.f64 #s(literal 1/24 binary64) (.f64 x x) #s(literal 1/2 binary64)) (patch (fma.f64 #s(literal 1/24 binary64) (.f64 x x) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1/24 (* 1/2 (/ 1 (pow x 2))))) (taylor -inf x) (#s(alt (fma.f64 #s(literal 1/24 binary64) (.f64 x x) #s(literal 1/2 binary64)) (patch (fma.f64 #s(literal 1/24 binary64) (.f64 x x) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1/24 (* 1/2 (/ 1 (pow x 2))))) (taylor -inf x) (#s(alt (fma.f64 #s(literal 1/24 binary64) (.f64 x x) #s(literal 1/2 binary64)) (patch (fma.f64 #s(literal 1/24 binary64) (.f64 x x) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (/ y (* x z)) (taylor -inf x) (#s(alt (/.f64 y (.f64 z x)) (patch (/.f64 y (.f64 z x)) #<representation binary64>) () ())) ())
#s(alt (/ y (* x z)) (taylor -inf x) (#s(alt (/.f64 y (.f64 z x)) (patch (/.f64 y (.f64 z x)) #<representation binary64>) () ())) ())
#s(alt (/ y (* x z)) (taylor -inf x) (#s(alt (/.f64 y (.f64 z x)) (patch (/.f64 y (.f64 z x)) #<representation binary64>) () ())) ())
#s(alt (/ y (* x z)) (taylor -inf x) (#s(alt (/.f64 y (.f64 z x)) (patch (/.f64 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
15.0ms	z	@	0	((/ (* (cosh x) (/ y x)) z) (* (cosh x) (/ y x)) (* (/ (+ (* (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (* x x)) 1) x) y) (/ (+ (* (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (* x x)) 1) x) (/ (* (cosh x) (/ y x)) z) (* (cosh x) (/ y x)) (* (+ (* x 1/2) (/ 1 x)) y) (+ (* x 1/2) (/ 1 x)) (* (/ 1 (* z x)) (* (cosh x) y)) (/ 1 (* z x)) (* z x) (* (cosh x) y) (/ (/ (cosh x) x) z) (* y (/ (/ (cosh x) x) z)) (/ (cosh x) x) (cosh x) (+ (* (* (+ (* 1/720 (* x x)) 1/24) x) (* (* x x) x)) (+ (* 1/2 (* x x)) 1)) (/ (* (cosh x) (/ y x)) z) (* (+ (* (* (+ (* 1/720 (* x x)) 1/24) x) (* (* x x) x)) (+ (* 1/2 (* x x)) 1)) (/ y (* z x))) (* (+ (* 1/720 (* x x)) 1/24) x) (+ (* 1/720 (* x x)) 1/24) (cosh x) (+ (* 1/24 (* x x)) 1/2) (/ y (* z x)) (+ (* 1/720 (* x x)) 1/24))
11.0ms	y	@	0	((/ (* (cosh x) (/ y x)) z) (* (cosh x) (/ y x)) (* (/ (+ (* (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (* x x)) 1) x) y) (/ (+ (* (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (* x x)) 1) x) (/ (* (cosh x) (/ y x)) z) (* (cosh x) (/ y x)) (* (+ (* x 1/2) (/ 1 x)) y) (+ (* x 1/2) (/ 1 x)) (* (/ 1 (* z x)) (* (cosh x) y)) (/ 1 (* z x)) (* z x) (* (cosh x) y) (/ (/ (cosh x) x) z) (* y (/ (/ (cosh x) x) z)) (/ (cosh x) x) (cosh x) (+ (* (* (+ (* 1/720 (* x x)) 1/24) x) (* (* x x) x)) (+ (* 1/2 (* x x)) 1)) (/ (* (cosh x) (/ y x)) z) (* (+ (* (* (+ (* 1/720 (* x x)) 1/24) x) (* (* x x) x)) (+ (* 1/2 (* x x)) 1)) (/ y (* z x))) (* (+ (* 1/720 (* x x)) 1/24) x) (+ (* 1/720 (* x x)) 1/24) (cosh x) (+ (* 1/24 (* x x)) 1/2) (/ y (* z x)) (+ (* 1/720 (* x x)) 1/24))
5.0ms	x	@	-inf	((/ (* (cosh x) (/ y x)) z) (* (cosh x) (/ y x)) (* (/ (+ (* (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (* x x)) 1) x) y) (/ (+ (* (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (* x x)) 1) x) (/ (* (cosh x) (/ y x)) z) (* (cosh x) (/ y x)) (* (+ (* x 1/2) (/ 1 x)) y) (+ (* x 1/2) (/ 1 x)) (* (/ 1 (* z x)) (* (cosh x) y)) (/ 1 (* z x)) (* z x) (* (cosh x) y) (/ (/ (cosh x) x) z) (* y (/ (/ (cosh x) x) z)) (/ (cosh x) x) (cosh x) (+ (* (* (+ (* 1/720 (* x x)) 1/24) x) (* (* x x) x)) (+ (* 1/2 (* x x)) 1)) (/ (* (cosh x) (/ y x)) z) (* (+ (* (* (+ (* 1/720 (* x x)) 1/24) x) (* (* x x) x)) (+ (* 1/2 (* x x)) 1)) (/ y (* z x))) (* (+ (* 1/720 (* x x)) 1/24) x) (+ (* 1/720 (* x x)) 1/24) (cosh x) (+ (* 1/24 (* x x)) 1/2) (/ y (* z x)) (+ (* 1/720 (* x x)) 1/24))
5.0ms	y	@	-inf	((/ (* (cosh x) (/ y x)) z) (* (cosh x) (/ y x)) (* (/ (+ (* (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (* x x)) 1) x) y) (/ (+ (* (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (* x x)) 1) x) (/ (* (cosh x) (/ y x)) z) (* (cosh x) (/ y x)) (* (+ (* x 1/2) (/ 1 x)) y) (+ (* x 1/2) (/ 1 x)) (* (/ 1 (* z x)) (* (cosh x) y)) (/ 1 (* z x)) (* z x) (* (cosh x) y) (/ (/ (cosh x) x) z) (* y (/ (/ (cosh x) x) z)) (/ (cosh x) x) (cosh x) (+ (* (* (+ (* 1/720 (* x x)) 1/24) x) (* (* x x) x)) (+ (* 1/2 (* x x)) 1)) (/ (* (cosh x) (/ y x)) z) (* (+ (* (* (+ (* 1/720 (* x x)) 1/24) x) (* (* x x) x)) (+ (* 1/2 (* x x)) 1)) (/ y (* z x))) (* (+ (* 1/720 (* x x)) 1/24) x) (+ (* 1/720 (* x x)) 1/24) (cosh x) (+ (* 1/24 (* x x)) 1/2) (/ y (* z x)) (+ (* 1/720 (* x x)) 1/24))
4.0ms	z	@	-inf	((/ (* (cosh x) (/ y x)) z) (* (cosh x) (/ y x)) (* (/ (+ (* (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (* x x)) 1) x) y) (/ (+ (* (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (* x x)) 1) x) (/ (* (cosh x) (/ y x)) z) (* (cosh x) (/ y x)) (* (+ (* x 1/2) (/ 1 x)) y) (+ (* x 1/2) (/ 1 x)) (* (/ 1 (* z x)) (* (cosh x) y)) (/ 1 (* z x)) (* z x) (* (cosh x) y) (/ (/ (cosh x) x) z) (* y (/ (/ (cosh x) x) z)) (/ (cosh x) x) (cosh x) (+ (* (* (+ (* 1/720 (* x x)) 1/24) x) (* (* x x) x)) (+ (* 1/2 (* x x)) 1)) (/ (* (cosh x) (/ y x)) z) (* (+ (* (* (+ (* 1/720 (* x x)) 1/24) x) (* (* x x) x)) (+ (* 1/2 (* x x)) 1)) (/ y (* z x))) (* (+ (* 1/720 (* x x)) 1/24) x) (+ (* 1/720 (* x x)) 1/24) (cosh x) (+ (* 1/24 (* x x)) 1/2) (/ y (* z x)) (+ (* 1/720 (* x x)) 1/24))

simplify189.0ms (1.8%)

Memory

25.8MiB live, 286.3MiB allocated

Algorithm

1×	egg-herbie

Rules

16 858×	`lower-fma.f64`
16 858×	`lower-fma.f32`
5 150×	`lower-*.f64`
5 150×	`lower-*.f32`
2 776×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	231	6778
1	743	6768
2	2305	6641
3	6013	6626
0	8423	6344

Stop Event

1×	iter limit
1×	node limit

Counts

564 → 563

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

rewrite295.0ms (2.8%)

Memory

-16.2MiB live, 402.8MiB allocated

Rules

5 138×	`lower-/.f32`
5 124×	`lower-/.f64`
5 040×	`lower-fma.f32`
5 026×	`lower-fma.f64`
4 176×	`lower-*.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	50	415
0	82	409
1	303	407
2	2128	404
0	8584	397

Stop Event

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

Counts

25 → 726

Calls

Call 1

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

Outputs
(.f64 (/.f64 #s(literal 1 binary64) z) (pow.f64 (/.f64 #s(literal 1 binary64) #s(approx ( (cosh x) (/ y x)) (.f64 (fma.f64 (fma.f64 #s(approx (+ ( 1/720 (* x x)) 1/24) (.f64 (.f64 x x) #s(literal 1/720 binary64))) (.f64 x x) #s(literal 1/2 binary64)) (.f64 x x) #s(literal 1 binary64)) (/.f64 y x)))) #s(literal -1 binary64)))
(.f64 (/.f64 #s(literal 1 binary64) z) #s(approx ( (cosh x) (/ y x)) (.f64 (fma.f64 (fma.f64 #s(approx (+ ( 1/720 (* x x)) 1/24) (.f64 (.f64 x x) #s(literal 1/720 binary64))) (.f64 x x) #s(literal 1/2 binary64)) (.f64 x x) #s(literal 1 binary64)) (/.f64 y x))))
(.f64 (neg.f64 #s(approx ( (cosh x) (/ y x)) (.f64 (fma.f64 (fma.f64 #s(approx (+ ( 1/720 (* x x)) 1/24) (.f64 (.f64 x x) #s(literal 1/720 binary64))) (.f64 x x) #s(literal 1/2 binary64)) (.f64 x x) #s(literal 1 binary64)) (/.f64 y x)))) (/.f64 #s(literal 1 binary64) (neg.f64 z)))
(.f64 #s(approx ( (cosh x) (/ y x)) (.f64 (fma.f64 (fma.f64 #s(approx (+ ( 1/720 (* x x)) 1/24) (.f64 (.f64 x x) #s(literal 1/720 binary64))) (.f64 x x) #s(literal 1/2 binary64)) (.f64 x x) #s(literal 1 binary64)) (/.f64 y x))) (/.f64 #s(literal 1 binary64) z))
(.f64 #s(literal 1 binary64) (/.f64 #s(approx ( (cosh x) (/ y x)) (.f64 (fma.f64 (fma.f64 #s(approx (+ ( 1/720 (* x x)) 1/24) (.f64 (.f64 x x) #s(literal 1/720 binary64))) (.f64 x x) #s(literal 1/2 binary64)) (.f64 x x) #s(literal 1 binary64)) (/.f64 y x))) z))
(pow.f64 (/.f64 z #s(approx (* (cosh x) (/ y x)) (.f64 (fma.f64 (fma.f64 #s(approx (+ ( 1/720 (* x x)) 1/24) (.f64 (.f64 x x) #s(literal 1/720 binary64))) (.f64 x x) #s(literal 1/2 binary64)) (.f64 x x) #s(literal 1 binary64)) (/.f64 y x)))) #s(literal -1 binary64))
(/.f64 (neg.f64 (.f64 #s(approx ( (cosh x) (/ y x)) (.f64 (fma.f64 (fma.f64 #s(approx (+ ( 1/720 (* x x)) 1/24) (.f64 (.f64 x x) #s(literal 1/720 binary64))) (.f64 x x) #s(literal 1/2 binary64)) (.f64 x x) #s(literal 1 binary64)) (/.f64 y x))) #s(literal 1 binary64))) (neg.f64 z))
(/.f64 (neg.f64 (neg.f64 (neg.f64 #s(approx (* (cosh x) (/ y x)) (.f64 (fma.f64 (fma.f64 #s(approx (+ ( 1/720 (* x x)) 1/24) (.f64 (.f64 x x) #s(literal 1/720 binary64))) (.f64 x x) #s(literal 1/2 binary64)) (.f64 x x) #s(literal 1 binary64)) (/.f64 y x)))))) (neg.f64 (neg.f64 (neg.f64 z))))
(/.f64 (.f64 #s(approx ( (cosh x) (/ y x)) (.f64 (fma.f64 (fma.f64 #s(approx (+ ( 1/720 (* x x)) 1/24) (.f64 (.f64 x x) #s(literal 1/720 binary64))) (.f64 x x) #s(literal 1/2 binary64)) (.f64 x x) #s(literal 1 binary64)) (/.f64 y x))) #s(literal 1 binary64)) z)
(/.f64 (neg.f64 (neg.f64 #s(approx (* (cosh x) (/ y x)) (.f64 (fma.f64 (fma.f64 #s(approx (+ ( 1/720 (* x x)) 1/24) (.f64 (.f64 x x) #s(literal 1/720 binary64))) (.f64 x x) #s(literal 1/2 binary64)) (.f64 x x) #s(literal 1 binary64)) (/.f64 y x))))) (neg.f64 (neg.f64 z)))
(/.f64 (neg.f64 #s(approx (* (cosh x) (/ y x)) (.f64 (fma.f64 (fma.f64 #s(approx (+ ( 1/720 (* x x)) 1/24) (.f64 (.f64 x x) #s(literal 1/720 binary64))) (.f64 x x) #s(literal 1/2 binary64)) (.f64 x x) #s(literal 1 binary64)) (/.f64 y x)))) (neg.f64 z))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 z #s(approx (* (cosh x) (/ y x)) (.f64 (fma.f64 (fma.f64 #s(approx (+ ( 1/720 (* x x)) 1/24) (.f64 (.f64 x x) #s(literal 1/720 binary64))) (.f64 x x) #s(literal 1/2 binary64)) (.f64 x x) #s(literal 1 binary64)) (/.f64 y x))))))
(/.f64 #s(approx (* (cosh x) (/ y x)) (.f64 (fma.f64 (fma.f64 #s(approx (+ ( 1/720 (* x x)) 1/24) (.f64 (.f64 x x) #s(literal 1/720 binary64))) (.f64 x x) #s(literal 1/2 binary64)) (.f64 x x) #s(literal 1 binary64)) (/.f64 y x))) z)
(/.f64 #s(literal 1 binary64) (/.f64 z (.f64 #s(approx ( (cosh x) (/ y x)) (.f64 (fma.f64 (fma.f64 #s(approx (+ ( 1/720 (* x x)) 1/24) (.f64 (.f64 x x) #s(literal 1/720 binary64))) (.f64 x x) #s(literal 1/2 binary64)) (.f64 x x) #s(literal 1 binary64)) (/.f64 y x))) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 z #s(approx (* (cosh x) (/ y x)) (.f64 (fma.f64 (fma.f64 #s(approx (+ ( 1/720 (* x x)) 1/24) (.f64 (.f64 x x) #s(literal 1/720 binary64))) (.f64 x x) #s(literal 1/2 binary64)) (.f64 x x) #s(literal 1 binary64)) (/.f64 y x)))))))
(/.f64 #s(literal 1 binary64) (/.f64 z #s(approx (* (cosh x) (/ y x)) (.f64 (fma.f64 (fma.f64 #s(approx (+ ( 1/720 (* x x)) 1/24) (.f64 (.f64 x x) #s(literal 1/720 binary64))) (.f64 x x) #s(literal 1/2 binary64)) (.f64 x x) #s(literal 1 binary64)) (/.f64 y x)))))
(neg.f64 (/.f64 (neg.f64 #s(approx (* (cosh x) (/ y x)) (.f64 (fma.f64 (fma.f64 #s(approx (+ ( 1/720 (* x x)) 1/24) (.f64 (.f64 x x) #s(literal 1/720 binary64))) (.f64 x x) #s(literal 1/2 binary64)) (.f64 x x) #s(literal 1 binary64)) (/.f64 y x)))) z))
(neg.f64 (/.f64 #s(approx (* (cosh x) (/ y x)) (.f64 (fma.f64 (fma.f64 #s(approx (+ ( 1/720 (* x x)) 1/24) (.f64 (.f64 x x) #s(literal 1/720 binary64))) (.f64 x x) #s(literal 1/2 binary64)) (.f64 x x) #s(literal 1 binary64)) (/.f64 y x))) (neg.f64 z)))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 z)) (/.f64 #s(approx (* (cosh x) (/ y x)) (.f64 (fma.f64 (fma.f64 #s(approx (+ ( 1/720 (* x x)) 1/24) (.f64 (.f64 x x) #s(literal 1/720 binary64))) (.f64 x x) #s(literal 1/2 binary64)) (.f64 x x) #s(literal 1 binary64)) (/.f64 y x))) (neg.f64 z)))
(exp.f64 (.f64 (log.f64 (/.f64 z #s(approx ( (cosh x) (/ y x)) (.f64 (fma.f64 (fma.f64 #s(approx (+ ( 1/720 (* x x)) 1/24) (.f64 (.f64 x x) #s(literal 1/720 binary64))) (.f64 x x) #s(literal 1/2 binary64)) (.f64 x x) #s(literal 1 binary64)) (/.f64 y x))))) #s(literal -1 binary64)))
#s(approx (* (cosh x) (/ y x)) (.f64 (fma.f64 (fma.f64 #s(approx (+ ( 1/720 (* x x)) 1/24) (.f64 (.f64 x x) #s(literal 1/720 binary64))) (.f64 x x) #s(literal 1/2 binary64)) (.f64 x x) #s(literal 1 binary64)) (/.f64 y x)))
(.f64 (/.f64 (neg.f64 (fma.f64 (fma.f64 #s(approx (+ ( 1/720 (* x x)) 1/24) (.f64 (.f64 x x) #s(literal 1/720 binary64))) (.f64 x x) #s(literal 1/2 binary64)) (.f64 x x) #s(literal 1 binary64))) #s(literal -1 binary64)) (/.f64 y x))
(.f64 (/.f64 #s(literal 1 binary64) (/.f64 x (fma.f64 (.f64 (.f64 (fma.f64 #s(approx (+ ( 1/720 (* x x)) 1/24) (.f64 (.f64 x x) #s(literal 1/720 binary64))) (.f64 x x) #s(literal 1/2 binary64)) (.f64 x x)) (.f64 x x)) (fma.f64 #s(approx (+ ( 1/720 (* x x)) 1/24) (.f64 (.f64 x x) #s(literal 1/720 binary64))) (.f64 x x) #s(literal 1/2 binary64)) #s(literal -1 binary64)))) (/.f64 y (fma.f64 (fma.f64 #s(approx (+ ( 1/720 (* x x)) 1/24) (.f64 (.f64 x x) #s(literal 1/720 binary64))) (.f64 x x) #s(literal 1/2 binary64)) (.f64 x x) #s(literal -1 binary64))))
(.f64 (/.f64 #s(literal 1 binary64) (/.f64 x (fma.f64 (.f64 (.f64 (.f64 (fma.f64 #s(approx (+ (* 1/720 (* x x)) 1/24) (.f64 (.f64 x x) #s(literal 1/720 binary64))) (.f64 x x) #s(literal 1/2 binary64)) (.f64 x x)) (.f64 x x)) (fma.f64 #s(approx (+ ( 1/720 (* x x)) 1/24) (.f64 (.f64 x x) #s(literal 1/720 binary64))) (.f64 x x) #s(literal 1/2 binary64))) (.f64 (fma.f64 #s(approx (+ (* 1/720 (* x x)) 1/24) (.f64 (.f64 x x) #s(literal 1/720 binary64))) (.f64 x x) #s(literal 1/2 binary64)) (.f64 x x)) #s(literal 1 binary64)))) (/.f64 y (fma.f64 (.f64 (.f64 (fma.f64 #s(approx (+ (* 1/720 (* x x)) 1/24) (.f64 (.f64 x x) #s(literal 1/720 binary64))) (.f64 x x) #s(literal 1/2 binary64)) (.f64 x x)) (.f64 x x)) (fma.f64 #s(approx (+ ( 1/720 (* x x)) 1/24) (.f64 (.f64 x x) #s(literal 1/720 binary64))) (.f64 x x) #s(literal 1/2 binary64)) (-.f64 #s(literal 1 binary64) (.f64 (fma.f64 #s(approx (+ (* 1/720 (* x x)) 1/24) (.f64 (.f64 x x) #s(literal 1/720 binary64))) (.f64 x x) #s(literal 1/2 binary64)) (.f64 x x))))))
(.f64 (/.f64 y (/.f64 x (fma.f64 (.f64 (.f64 (fma.f64 #s(approx (+ ( 1/720 (* x x)) 1/24) (.f64 (.f64 x x) #s(literal 1/720 binary64))) (.f64 x x) #s(literal 1/2 binary64)) (.f64 x x)) (.f64 x x)) (fma.f64 #s(approx (+ ( 1/720 (* x x)) 1/24) (.f64 (.f64 x x) #s(literal 1/720 binary64))) (.f64 x x) #s(literal 1/2 binary64)) #s(literal -1 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 #s(approx (+ ( 1/720 (* x x)) 1/24) (.f64 (.f64 x x) #s(literal 1/720 binary64))) (.f64 x x) #s(literal 1/2 binary64)) (.f64 x x) #s(literal -1 binary64))))
(.f64 (/.f64 y (/.f64 x (fma.f64 (.f64 (.f64 (.f64 (fma.f64 #s(approx (+ (* 1/720 (* x x)) 1/24) (.f64 (.f64 x x) #s(literal 1/720 binary64))) (.f64 x x) #s(literal 1/2 binary64)) (.f64 x x)) (.f64 x x)) (fma.f64 #s(approx (+ ( 1/720 (* x x)) 1/24) (.f64 (.f64 x x) #s(literal 1/720 binary64))) (.f64 x x) #s(literal 1/2 binary64))) (.f64 (fma.f64 #s(approx (+ (* 1/720 (* x x)) 1/24) (.f64 (.f64 x x) #s(literal 1/720 binary64))) (.f64 x x) #s(literal 1/2 binary64)) (.f64 x x)) #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (.f64 (fma.f64 #s(approx (+ (* 1/720 (* x x)) 1/24) (.f64 (.f64 x x) #s(literal 1/720 binary64))) (.f64 x x) #s(literal 1/2 binary64)) (.f64 x x)) (.f64 x x)) (fma.f64 #s(approx (+ ( 1/720 (* x x)) 1/24) (.f64 (.f64 x x) #s(literal 1/720 binary64))) (.f64 x x) #s(literal 1/2 binary64)) (-.f64 #s(literal 1 binary64) (.f64 (fma.f64 #s(approx (+ (* 1/720 (* x x)) 1/24) (.f64 (.f64 x x) #s(literal 1/720 binary64))) (.f64 x x) #s(literal 1/2 binary64)) (.f64 x x))))))
(.f64 (/.f64 y #s(literal -1 binary64)) (/.f64 (neg.f64 (fma.f64 (fma.f64 #s(approx (+ ( 1/720 (* x x)) 1/24) (.f64 (.f64 x x) #s(literal 1/720 binary64))) (.f64 x x) #s(literal 1/2 binary64)) (.f64 x x) #s(literal 1 binary64))) x))
(.f64 (.f64 (fma.f64 (fma.f64 #s(approx (+ (* 1/720 (* x x)) 1/24) (.f64 (.f64 x x) #s(literal 1/720 binary64))) (.f64 x x) #s(literal 1/2 binary64)) (.f64 x x) #s(literal 1 binary64)) y) (/.f64 #s(literal 1 binary64) x))
(.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 y (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 #s(approx (+ ( 1/720 (* x x)) 1/24) (.f64 (.f64 x x) #s(literal 1/720 binary64))) (.f64 x x) #s(literal 1/2 binary64)) (.f64 x x) #s(literal 1 binary64)))))
(.f64 (/.f64 (fma.f64 (fma.f64 #s(approx (+ ( 1/720 (* x x)) 1/24) (.f64 (.f64 x x) #s(literal 1/720 binary64))) (.f64 x x) #s(literal 1/2 binary64)) (.f64 x x) #s(literal 1 binary64)) x) (/.f64 y #s(literal 1 binary64)))
(.f64 (/.f64 (fma.f64 (fma.f64 #s(approx (+ ( 1/720 (* x x)) 1/24) (.f64 (.f64 x x) #s(literal 1/720 binary64))) (.f64 x x) #s(literal 1/2 binary64)) (.f64 x x) #s(literal 1 binary64)) x) y)
(.f64 (fma.f64 (fma.f64 #s(approx (+ ( 1/720 (* x x)) 1/24) (.f64 (.f64 x x) #s(literal 1/720 binary64))) (.f64 x x) #s(literal 1/2 binary64)) (.f64 x x) #s(literal 1 binary64)) (/.f64 y x))
(.f64 (/.f64 y x) (/.f64 (fma.f64 (fma.f64 #s(approx (+ ( 1/720 (* x x)) 1/24) (.f64 (.f64 x x) #s(literal 1/720 binary64))) (.f64 x x) #s(literal 1/2 binary64)) (.f64 x x) #s(literal 1 binary64)) #s(literal 1 binary64)))
(.f64 (/.f64 y x) (fma.f64 (fma.f64 #s(approx (+ ( 1/720 (* x x)) 1/24) (.f64 (.f64 x x) #s(literal 1/720 binary64))) (.f64 x x) #s(literal 1/2 binary64)) (.f64 x x) #s(literal 1 binary64)))
(.f64 y (/.f64 (fma.f64 (fma.f64 #s(approx (+ ( 1/720 (* x x)) 1/24) (.f64 (.f64 x x) #s(literal 1/720 binary64))) (.f64 x x) #s(literal 1/2 binary64)) (.f64 x x) #s(literal 1 binary64)) x))
(pow.f64 (/.f64 x (.f64 (fma.f64 (fma.f64 #s(approx (+ ( 1/720 (* x x)) 1/24) (.f64 (.f64 x x) #s(literal 1/720 binary64))) (.f64 x x) #s(literal 1/2 binary64)) (.f64 x x) #s(literal 1 binary64)) y)) #s(literal -1 binary64))
(/.f64 (neg.f64 (.f64 (neg.f64 (fma.f64 (fma.f64 #s(approx (+ ( 1/720 (* x x)) 1/24) (.f64 (.f64 x x) #s(literal 1/720 binary64))) (.f64 x x) #s(literal 1/2 binary64)) (.f64 x x) #s(literal 1 binary64))) y)) (neg.f64 (neg.f64 x)))
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eval220.0ms (2.1%)

Memory: 7.1MiB live, 409.0MiB allocated
Compiler: Compiled 41 424 to 2 488 computations (94% saved)

prune70.0ms (0.7%)

Memory

1.0MiB live, 199.8MiB allocated

Pruning

39 alts after pruning (33 fresh and 6 done)

	Pruned	Kept	Total
New	1 312	17	1 329
Fresh	12	16	28
Picked	2	3	5
Done	0	3	3
Total	1 326	39	1 365

Accuracy

100.0%

Counts

1 365 → 39

Alt Table

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Status	Accuracy	Program
✓	80.2%	(/.f64 (/.f64 (.f64 y #s(approx (cosh x) (fma.f64 (.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)))) z) x)
	80.1%	(/.f64 (.f64 (/.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (.f64 x x) #s(literal 1 binary64))) z) y) x)
	80.5%	(/.f64 (.f64 (cosh.f64 x) y) (.f64 z x))
	66.2%	(/.f64 (.f64 #s(approx (cosh x) (fma.f64 (.f64 #s(literal 1/2 binary64) x) x #s(literal 1 binary64))) y) (*.f64 z x))
	30.2%	(/.f64 (.f64 #s(approx (cosh x) #s(approx (+ ( (* x x) 1/2) 1) (.f64 (.f64 x x) #s(literal 1/2 binary64)))) (/.f64 y x)) z)
	52.1%	(/.f64 #s(approx (/ (* y (cosh x)) z) (/.f64 y z)) x)
	47.8%	(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 y x)) z)
	79.2%	(/.f64 #s(approx (* (cosh x) (/ y x)) (.f64 (fma.f64 (fma.f64 #s(approx (+ ( 1/720 (* x x)) 1/24) (.f64 (.f64 x x) #s(literal 1/720 binary64))) (.f64 x x) #s(literal 1/2 binary64)) (.f64 x x) #s(literal 1 binary64)) (/.f64 y x))) z)
✓	89.8%	(/.f64 #s(approx (* (cosh x) (/ y x)) (.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)) x) y)) z)
	78.0%	(/.f64 #s(approx (* (cosh x) (/ 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))) x) y)) z)
	48.1%	(/.f64 #s(approx (* (cosh x) (/ y x)) (.f64 #s(approx (/ (+ ( (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (* x x)) 1) x) (.f64 (.f64 (.f64 (.f64 (*.f64 x x) x) x) x) #s(literal 1/720 binary64))) y)) z)
✓	24.9%	(/.f64 #s(approx (* (cosh x) (/ y x)) (.f64 #s(approx (+ ( x 1/2) (/ 1 x)) (*.f64 x #s(literal 1/2 binary64))) y)) z)
	24.9%	(/.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))))
	70.7%	(.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))) (.f64 z x)) y)
	74.4%	(.f64 (/.f64 #s(approx (cosh x) (fma.f64 (.f64 #s(literal 1/2 binary64) x) x #s(literal 1 binary64))) x) (/.f64 y z))
	62.7%	(.f64 (/.f64 y (.f64 z x)) #s(approx (cosh x) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) x #s(literal 1 binary64))))
✓	65.5%	(.f64 (/.f64 #s(literal 1 binary64) (.f64 z x)) (.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (.f64 x x) #s(literal 1 binary64))) y))
	73.8%	(.f64 (/.f64 #s(literal 1 binary64) (.f64 z x)) #s(approx (* (cosh x) y) (fma.f64 (.f64 y (.f64 (fma.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 y)))
	79.2%	(.f64 (/.f64 #s(literal 1 binary64) z) #s(approx ( (cosh x) (/ y x)) (.f64 (fma.f64 (fma.f64 #s(approx (+ ( 1/720 (* x x)) 1/24) (.f64 (.f64 x x) #s(literal 1/720 binary64))) (.f64 x x) #s(literal 1/2 binary64)) (.f64 x x) #s(literal 1 binary64)) (/.f64 y x))))
	24.9%	(.f64 (/.f64 #s(literal 1 binary64) z) #s(approx ( (cosh x) (/ y x)) (.f64 #s(approx (+ ( x 1/2) (/ 1 x)) (*.f64 #s(literal 1/2 binary64) x)) y)))
	66.6%	(.f64 (.f64 #s(approx (cosh x) (fma.f64 (.f64 #s(literal 1/2 binary64) x) x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (.f64 z x))) y)
	87.9%	(.f64 y (/.f64 (/.f64 #s(approx (cosh x) (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) z))
	66.6%	(.f64 y (/.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (.f64 x x) #s(literal 1 binary64))) (*.f64 z x)))
	46.3%	(*.f64 y #s(approx (/ (/ (cosh x) x) z) (/.f64 (/.f64 #s(literal 1 binary64) z) x)))
✓	46.3%	(.f64 y #s(approx (/ (/ (cosh x) x) z) (/.f64 #s(literal 1 binary64) (.f64 z x))))
	68.3%	#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (fma.f64 x (fma.f64 (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) x) x) x (.f64 #s(literal 1/2 binary64) x)) #s(literal 1 binary64)) (/.f64 (*.f64 z x) y)))
	74.8%	#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)))
	53.2%	#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (.f64 (fma.f64 (.f64 (fma.f64 (.f64 (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) x) x) (.f64 (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) x)) x #s(literal -1/4 binary64)) (.f64 x x)) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (.f64 x x) #s(literal -1/2 binary64))) #s(literal 1 binary64)) y) (.f64 z x)))
✓	46.9%	#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 y (*.f64 z x)))
	74.4%	#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 #s(literal 1 binary64) (/.f64 (.f64 z x) (.f64 (fma.f64 x (fma.f64 (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) x) x) x (.f64 #s(literal 1/2 binary64) x)) #s(literal 1 binary64)) y))))
	68.7%	#s(approx (/ (* (cosh x) (/ y x)) z) (.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)) (/.f64 y (*.f64 z x))))
	48.7%	#s(approx (/ (* (cosh x) (/ y x)) z) (.f64 (fma.f64 (/.f64 (fma.f64 (.f64 (.f64 (.f64 x x) x) (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)) x) #s(literal -1/4 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 x x) #s(literal 1 binary64)) (/.f64 y (*.f64 z x))))
	68.7%	#s(approx (/ (* (cosh x) (/ y x)) z) (.f64 (fma.f64 (.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)))) x) (.f64 (.f64 x x) x) (fma.f64 #s(literal 1/2 binary64) (.f64 x x) #s(literal 1 binary64))) (/.f64 y (*.f64 z x))))
	68.7%	#s(approx (/ (* (cosh x) (/ y x)) z) (.f64 (fma.f64 (.f64 #s(approx (+ (* 1/720 (* x x)) 1/24) (.f64 #s(literal 1/720 binary64) (.f64 x x))) x) (.f64 (.f64 x x) x) (fma.f64 #s(literal 1/2 binary64) (.f64 x x) #s(literal 1 binary64))) (/.f64 y (.f64 z x))))
	68.6%	#s(approx (/ (* (cosh x) (/ y x)) z) (.f64 (fma.f64 #s(approx (+ ( (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (.f64 (.f64 (fma.f64 #s(literal 1/720 binary64) (.f64 x x) #s(literal 1/24 binary64)) x) x)) (.f64 x x) #s(literal 1 binary64)) (/.f64 y (*.f64 z x))))
	68.6%	#s(approx (/ (* (cosh x) (/ y x)) z) (.f64 (fma.f64 #s(approx (+ ( (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (.f64 (.f64 (.f64 x x) x) (.f64 #s(literal 1/720 binary64) x))) (.f64 x x) #s(literal 1 binary64)) (/.f64 y (.f64 z x))))
	84.2%	#s(approx (/ (* (cosh x) (/ y x)) z) (.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (fma.f64 x (fma.f64 (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) x) x) x (*.f64 #s(literal 1/2 binary64) x)) #s(literal 1 binary64)) (/.f64 z y))))
	73.1%	#s(approx (/ (* (cosh x) (/ y x)) z) (.f64 y (/.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (.f64 x x) #s(literal 1/2 binary64)) (.f64 x x) #s(literal 1 binary64)) (*.f64 z x))))
	41.9%	#s(approx (/ (* (cosh x) (/ y x)) z) #s(approx (* (+ (* (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (* x x)) 1) (/ y (* z x))) (.f64 (.f64 (/.f64 y z) #s(literal 1/720 binary64)) (.f64 (.f64 (.f64 (.f64 x x) x) x) x))))

Compiler

Compiled 2 248 to 707 computations (68.5% saved)

regimes120.0ms (1.1%)

Memory

-37.7MiB live, 335.1MiB allocated

Counts

78 → 2

Calls

Call 1

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

Outputs

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

Calls

5 calls:

28.0ms	z
25.0ms	x
22.0ms	y
20.0ms	(*.f64 (cosh.f64 x) (/.f64 y x))
20.0ms	(/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z)

Results

Accuracy	Segments	Branch
96.1%	1	`x`
96.1%	1	`y`
99.9%	2	`z`
99.9%	2	`(/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z)`
99.8%	2	`(*.f64 (cosh.f64 x) (/.f64 y x))`

Compiler

Compiled 32 to 22 computations (31.3% saved)

regimes101.0ms (0.9%)

Memory

-3.4MiB live, 116.9MiB allocated

Counts

76 → 2

Calls

Call 1

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

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

Calls

3 calls:

45.0ms	z
32.0ms	(*.f64 (cosh.f64 x) (/.f64 y x))
19.0ms	(/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z)

Results

Accuracy	Segments	Branch
99.8%	2	`(*.f64 (cosh.f64 x) (/.f64 y x))`
98.7%	2	`z`
99.8%	2	`(/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z)`

Compiler

Compiled 24 to 16 computations (33.3% saved)

regimes217.0ms (2%)

Memory

23.7MiB live, 182.6MiB allocated

Counts

73 → 2

Calls

Call 1

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

Outputs

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

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

Calls

5 calls:

81.0ms	z
50.0ms	y
45.0ms	(*.f64 (cosh.f64 x) (/.f64 y x))
19.0ms	x
17.0ms	(/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z)

Results

Accuracy	Segments	Branch
93.4%	2	`y`
95.3%	2	`x`
93.4%	2	`z`
93.1%	2	`(/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z)`
93.1%	2	`(*.f64 (cosh.f64 x) (/.f64 y x))`

Compiler

Compiled 32 to 22 computations (31.3% saved)

regimes43.0ms (0.4%)

Memory

2.5MiB live, 40.9MiB allocated

Counts

72 → 2

Calls

Call 1

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

Outputs

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

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

Calls

1 calls:

39.0ms

Results

Accuracy	Segments	Branch
94.6%	2	`x`

Compiler

Compiled 4 to 3 computations (25% saved)

regimes154.0ms (1.4%)

Memory

3.4MiB live, 80.3MiB allocated

Counts

71 → 2

Calls

Call 1

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

Outputs

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

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

Calls

2 calls:

83.0ms	x
68.0ms	y

Results

Accuracy	Segments	Branch
93.4%	2	`y`
92.3%	2	`x`

Compiler

Compiled 8 to 6 computations (25% saved)

regimes97.0ms (0.9%)

Memory

-6.3MiB live, 75.4MiB allocated

Counts

63 → 2

Calls

Call 1

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

Outputs

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

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

Calls

2 calls:

59.0ms	z
34.0ms	y

Results

Accuracy	Segments	Branch
93.1%	2	`z`
93.1%	2	`y`

Compiler

Compiled 8 to 6 computations (25% saved)

regimes49.0ms (0.5%)

Memory

0.5MiB live, 38.7MiB allocated

Counts

54 → 2

Calls

Call 1

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

Outputs

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

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

Calls

1 calls:

46.0ms

Results

Accuracy	Segments	Branch
93.1%	2	`z`

Compiler

Compiled 4 to 3 computations (25% saved)

regimes142.0ms (1.3%)

Memory

-15.6MiB live, 108.6MiB allocated

Counts

53 → 2

Calls

Call 1

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

Outputs

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

Calls

4 calls:

51.0ms	z
39.0ms	(*.f64 (cosh.f64 x) (/.f64 y x))
36.0ms	y
13.0ms	(/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z)

Results

Accuracy	Segments	Branch
93.1%	2	`y`
89.8%	1	`(/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z)`
89.8%	1	`(*.f64 (cosh.f64 x) (/.f64 y x))`
89.8%	1	`z`

Compiler

Compiled 28 to 19 computations (32.1% saved)

regimes170.0ms (1.6%)

Memory

23.3MiB live, 141.8MiB allocated

Counts

51 → 2

Calls

Call 1

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

Outputs

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

5 calls:

62.0ms	(*.f64 (cosh.f64 x) (/.f64 y x))
45.0ms	y
31.0ms	(/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z)
14.0ms	x
14.0ms	z

Results

Accuracy	Segments	Branch
90.1%	2	`z`
90.8%	2	`(/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z)`
90.7%	2	`(*.f64 (cosh.f64 x) (/.f64 y x))`
89.6%	2	`x`
90.4%	2	`y`

Compiler

Compiled 32 to 22 computations (31.3% saved)

regimes50.0ms (0.5%)

Memory

-7.6MiB live, 70.6MiB allocated

Counts

41 → 2

Calls

Call 1

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

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

Calls

3 calls:

23.0ms	(*.f64 (cosh.f64 x) (/.f64 y x))
12.0ms	(/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z)
11.0ms	y

Results

Accuracy	Segments	Branch
90.0%	2	`y`
90.4%	2	`(*.f64 (cosh.f64 x) (/.f64 y x))`
90.4%	2	`(/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z)`

Compiler

Compiled 24 to 16 computations (33.3% saved)

regimes209.0ms (2%)

Memory

-15.5MiB live, 104.8MiB allocated

Counts

38 → 2

Calls

Call 1

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

Outputs

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

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

Calls

5 calls:

68.0ms	z
60.0ms	x
58.0ms	(*.f64 (cosh.f64 x) (/.f64 y x))
11.0ms	y
10.0ms	(/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z)

Results

Accuracy	Segments	Branch
89.4%	2	`x`
83.6%	2	`y`
83.9%	2	`z`
85.9%	3	`(/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z)`
85.8%	3	`(*.f64 (cosh.f64 x) (/.f64 y x))`

Compiler

Compiled 32 to 22 computations (31.3% saved)

regimes11.0ms (0.1%)

Memory

20.3MiB live, 20.3MiB allocated

Counts

33 → 3

Calls

Call 1

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

Outputs

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

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

Calls

1 calls:

9.0ms

Results

Accuracy	Segments	Branch
86.5%	3	`x`

Compiler

Compiled 4 to 3 computations (25% saved)

regimes138.0ms (1.3%)

Memory

-16.9MiB live, 58.3MiB allocated

Counts

32 → 2

Calls

Call 1

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

Outputs

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

Calls

3 calls:

66.0ms	(*.f64 (cosh.f64 x) (/.f64 y x))
62.0ms	x
8.0ms	(/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z)

Results

Accuracy	Segments	Branch
83.9%	2	`(*.f64 (cosh.f64 x) (/.f64 y x))`
83.9%	2	`(/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z)`
80.2%	1	`x`

Compiler

Compiled 24 to 16 computations (33.3% saved)

regimes39.0ms (0.4%)

Memory

-9.5MiB live, 36.4MiB allocated

Counts

31 → 2

Calls

Call 1

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

Outputs

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

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

Calls

2 calls:

30.0ms	z
8.0ms	(/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z)

Results

Accuracy	Segments	Branch
83.9%	2	`z`
83.9%	2	`(/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z)`

Compiler

Compiled 15 to 10 computations (33.3% saved)

regimes38.0ms (0.4%)

Memory

27.0MiB live, 65.9MiB allocated

Counts

30 → 2

Calls

Call 1

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

Outputs

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

Calls

4 calls:

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

Results

Accuracy	Segments	Branch
81.3%	2	`y`
82.8%	2	`(*.f64 (cosh.f64 x) (/.f64 y x))`
82.8%	2	`(/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z)`
81.3%	2	`z`

Compiler

Compiled 28 to 19 computations (32.1% saved)

regimes99.0ms (0.9%)

Memory

1.5MiB live, 78.2MiB allocated

Counts

22 → 2

Calls

Call 1

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

Outputs

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

Calls

5 calls:

47.0ms	z
31.0ms	(*.f64 (cosh.f64 x) (/.f64 y x))
7.0ms	y
7.0ms	x
6.0ms	(/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z)

Results

Accuracy	Segments	Branch
68.4%	2	`y`
68.9%	2	`z`
71.3%	3	`x`
71.8%	2	`(/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z)`
71.8%	2	`(*.f64 (cosh.f64 x) (/.f64 y x))`

Compiler

Compiled 32 to 22 computations (31.3% saved)

regimes17.0ms (0.2%)

Memory

-17.9MiB live, 23.1MiB allocated

Counts

17 → 2

Calls

Call 1

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

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

Calls

2 calls:

10.0ms	(*.f64 (cosh.f64 x) (/.f64 y x))
5.0ms	(/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z)

Results

Accuracy	Segments	Branch
71.8%	2	`(/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z)`
71.7%	2	`(*.f64 (cosh.f64 x) (/.f64 y x))`

Compiler

Compiled 20 to 13 computations (35% saved)

regimes22.0ms (0.2%)

Memory

7.6MiB live, 45.7MiB allocated

Counts

11 → 2

Calls

Call 1

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

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

Calls

5 calls:

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

Results

Accuracy	Segments	Branch
65.4%	2	`y`
64.5%	2	`z`
65.7%	2	`x`
67.1%	2	`(*.f64 (cosh.f64 x) (/.f64 y x))`
67.2%	2	`(/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z)`

Compiler

Compiled 32 to 22 computations (31.3% saved)

regimes17.0ms (0.2%)

Memory

-0.7MiB live, 37.1MiB allocated

Counts

10 → 2

Calls

Call 1

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

4 calls:

6.0ms	x
4.0ms	y
3.0ms	(*.f64 (cosh.f64 x) (/.f64 y x))
3.0ms	(/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z)

Results

Accuracy	Segments	Branch
55.9%	2	`y`
65.2%	2	`x`
59.0%	2	`(*.f64 (cosh.f64 x) (/.f64 y x))`
55.9%	2	`(/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z)`

Compiler

Compiled 28 to 19 computations (32.1% saved)

regimes4.0ms (0%)

Memory

10.4MiB live, 10.4MiB allocated

Counts

3 → 2

Calls

Call 1

Inputs

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

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

2 calls:

2.0ms	x
2.0ms	z

Results

Accuracy	Segments	Branch
46.9%	1	`z`
64.4%	2	`x`

Compiler

Compiled 8 to 6 computations (25% saved)

regimes9.0ms (0.1%)

Memory

-19.5MiB live, 18.4MiB allocated

Accuracy

Total -0.4b remaining (-1.3%)

Threshold costs -0.4b (-1.3%)

Counts

2 → 1

Calls

Call 1

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

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

Calls

4 calls:

4.0ms	y
2.0ms	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
46.9%	1	`y`
46.9%	1	`(/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z)`
46.9%	1	`(*.f64 (cosh.f64 x) (/.f64 y x))`
46.9%	1	`x`

Compiler

Compiled 28 to 19 computations (32.1% saved)

bsearch1.0ms (0%)

Memory

1.6MiB live, 1.6MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	1.193998544033603e-75	1.457835789001146e-70

Compiler

Compiled 14 to 13 computations (7.1% saved)

bsearch0.0ms (0%)

Memory

1.1MiB live, 1.1MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	1.3436077084761564e+260	2.4830099843992267e+266

Compiler

Compiled 14 to 13 computations (7.1% saved)

bsearch13.0ms (0.1%)

Memory

30.7MiB live, 30.7MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
11.0ms	5.420108656013657e+57	3.858222087972443e+60

Samples

7.0ms

128×

valid

Compiler

Compiled 278 to 173 computations (37.8% saved)

Precisions

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

ival-div: 2.0ms (52.1% of total)

ival-mult: 1.0ms (26.1% of total)

ival-cosh: 1.0ms (26.1% of total)

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

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

bsearch8.0ms (0.1%)

Memory

-36.1MiB live, 2.7MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
8.0ms	5.420108656013657e+57	3.858222087972443e+60

Compiler

Compiled 278 to 173 computations (37.8% saved)

bsearch4.0ms (0%)

Memory

7.7MiB live, 7.7MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	predicate-same

Steps

Time	Left	Right
3.0ms	0.015810208477037298	0.34607233264062026

Samples

2.0ms

32×

valid

Compiler

Compiled 130 to 81 computations (37.7% saved)

Precisions

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

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

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

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

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

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

bsearch10.0ms (0.1%)

Memory

13.3MiB live, 13.3MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
9.0ms	7.771513643837506e+80	1.1047704079182175e+82

Samples

5.0ms

96×

valid

Compiler

Compiled 338 to 199 computations (41.1% saved)

Precisions

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

ival-div: 1.0ms (35.7% of total)

ival-mult: 1.0ms (35.7% of total)

ival-cosh: 1.0ms (35.7% of total)

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

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

bsearch1.0ms (0%)

Memory

3.9MiB live, 3.9MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
1.0ms	7.771513643837506e+80	1.1047704079182175e+82

Compiler

Compiled 338 to 193 computations (42.9% saved)

bsearch15.0ms (0.1%)

Memory

-2.9MiB live, 31.6MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	predicate-same

Steps

Time	Left	Right
14.0ms	1.5594233862276405e+46	3.6034338019371174e+47

Samples

10.0ms

96×

valid

Compiler

Compiled 308 to 175 computations (43.2% saved)

Precisions

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

ival-div: 5.0ms (66.3% of total)

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

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

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

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

bsearch0.0ms (0%)

Memory

0.9MiB live, 0.9MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	1.193998544033603e-75	1.457835789001146e-70

Compiler

Compiled 14 to 13 computations (7.1% saved)

bsearch0.0ms (0%)

Memory

0.6MiB live, 0.6MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	1.3436077084761564e+260	2.4830099843992267e+266

Compiler

Compiled 14 to 13 computations (7.1% saved)

bsearch15.0ms (0.1%)

Memory

6.0MiB live, 43.7MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
14.0ms	1.2600591421672754e-7	0.00011849630978012802

Samples

7.0ms

128×

valid

Compiler

Compiled 302 to 189 computations (37.4% saved)

Precisions

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

ival-div: 2.0ms (46.5% of total)

ival-cosh: 2.0ms (46.5% of total)

ival-mult: 1.0ms (23.2% of total)

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

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

bsearch27.0ms (0.2%)

Memory

0.0MiB live, 86.5MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
15.0ms	5.94226408055626e+150	3.3058846073326726e+155
10.0ms	3.858222087972443e+60	5.686735863014049e+61

Samples

16.0ms

224×

valid

Compiler

Compiled 546 to 335 computations (38.6% saved)

Precisions

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

ival-div: 6.0ms (59% of total)

ival-cosh: 2.0ms (19.7% of total)

ival-mult: 1.0ms (9.8% of total)

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

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

bsearch0.0ms (0%)

Memory

0.8MiB live, 0.8MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	1.193998544033603e-75	1.457835789001146e-70

Compiler

Compiled 14 to 13 computations (7.1% saved)

bsearch14.0ms (0.1%)

Memory

-6.7MiB live, 32.2MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
13.0ms	1.1180610633536371e+46	5.136407170609477e+48

Samples

8.0ms

128×

valid

Compiler

Compiled 286 to 189 computations (33.9% saved)

Precisions

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

ival-div: 2.0ms (41.1% of total)

ival-cosh: 2.0ms (41.1% of total)

ival-mult: 1.0ms (20.5% of total)

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

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

bsearch0.0ms (0%)

Memory

0.9MiB live, 0.9MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	1.3436077084761564e+260	2.4830099843992267e+266

Compiler

Compiled 14 to 13 computations (7.1% saved)

bsearch0.0ms (0%)

Memory

0.6MiB live, 0.6MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	1.1039757337476283e+181	1.706952207773333e+181

Compiler

Compiled 14 to 13 computations (7.1% saved)

bsearch0.0ms (0%)

Memory

0.5MiB live, 0.5MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	6.017078990904952e+290	1.105719955307223e+295

Compiler

Compiled 14 to 13 computations (7.1% saved)

bsearch0.0ms (0%)

Memory

0.6MiB live, 0.6MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	6.017078990904952e+290	1.105719955307223e+295

Compiler

Compiled 14 to 13 computations (7.1% saved)

bsearch1.0ms (0%)

Memory

2.1MiB live, 2.1MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
1.0ms	1.2600591421672754e-7	0.00011849630978012802

Compiler

Compiled 198 to 125 computations (36.9% saved)

bsearch1.0ms (0%)

Memory

2.2MiB live, 2.2MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
1.0ms	1.2600591421672754e-7	0.00011849630978012802

Compiler

Compiled 198 to 125 computations (36.9% saved)

simplify12.0ms (0.1%)

Memory

-1.7MiB live, 37.3MiB allocated

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	180	1037
1	214	1037

Stop Event

1×

saturated

Calls

Call 1

Inputs
(if (<=.f64 (/.f64 (.f64 (cosh.f64 x) (/.f64 y x)) z) #s(literal 1018517988167243/509258994083621521567111422102344540262867098416484062659035112338595324940834176545849344 binary64)) (.f64 y #s(approx (/ (/ (cosh x) x) z) (/.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 (/.f64 (.f64 y (cosh.f64 x)) z) x))
(if (<=.f64 (.f64 (cosh.f64 x) (/.f64 y x)) #s(literal 200000000000000013066955221149234614006420798956587259551286384346253844053977495787045794389248620240281172723795887588127372414002777379796274447149163924589277282496240804681694345098045284941494988528265817679549884087553314090994018176858671070391939629056 binary64)) (/.f64 #s(approx ( (cosh x) (/ y x)) (.f64 (fma.f64 x #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) y)) z) (.f64 y (/.f64 (/.f64 (cosh.f64 x) x) z)))
(if (<=.f64 x #s(literal 1599999999999999954700608792967427213598981253858834526502912 binary64)) (/.f64 (.f64 (cosh.f64 x) y) (.f64 z x)) (/.f64 #s(approx (* (cosh x) (/ y x)) (.f64 #s(approx (/ (+ ( (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (* x x)) 1) x) (.f64 (.f64 (.f64 (.f64 (*.f64 x x) x) x) x) #s(literal 1/720 binary64))) y)) z))
(if (<=.f64 x #s(literal 1599999999999999954700608792967427213598981253858834526502912 binary64)) (.f64 y (/.f64 (cosh.f64 x) (.f64 z x))) (/.f64 #s(approx (* (cosh x) (/ y x)) (.f64 #s(approx (/ (+ ( (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (* x x)) 1) x) (.f64 (.f64 (.f64 (.f64 (*.f64 x x) x) x) x) #s(literal 1/720 binary64))) y)) z))
(if (<=.f64 y #s(literal 3602879701896397/36028797018963968 binary64)) (/.f64 #s(approx (* (cosh x) (/ y x)) (.f64 (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (.f64 x x) #s(literal 1/24 binary64)) (.f64 x x) #s(literal 1/2 binary64)) (.f64 x x) #s(literal 1 binary64)) x) y)) z) #s(approx (/ (* (cosh x) (/ y x)) z) (.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (fma.f64 x (fma.f64 (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) x) x) x (*.f64 #s(literal 1/2 binary64) x)) #s(literal 1 binary64)) (/.f64 z y)))))
(if (<=.f64 z #s(literal 800000000000000000212878917666938212299219209449606472785055819627918071330504704 binary64)) (/.f64 #s(approx (* (cosh x) (/ y x)) (.f64 (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (.f64 x x) #s(literal 1/24 binary64)) (.f64 x x) #s(literal 1/2 binary64)) (.f64 x x) #s(literal 1 binary64)) x) y)) z) (.f64 y (/.f64 (/.f64 #s(approx (cosh x) (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) z)))
(if (<=.f64 z #s(literal 800000000000000000212878917666938212299219209449606472785055819627918071330504704 binary64)) (/.f64 #s(approx (* (cosh x) (/ y x)) (.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)) x) y)) z) (.f64 y (/.f64 (/.f64 #s(approx (cosh x) (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) z)))
(if (<=.f64 y #s(literal 200000000000000008769168609015239470926809530368 binary64)) (/.f64 #s(approx (* (cosh x) (/ y x)) (.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)) x) y)) 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))
(if (<=.f64 (/.f64 (.f64 (cosh.f64 x) (/.f64 y x)) z) #s(literal 1018517988167243/509258994083621521567111422102344540262867098416484062659035112338595324940834176545849344 binary64)) #s(approx (/ ( (cosh x) (/ y x)) z) (.f64 (fma.f64 (.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)) (/.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 (cosh.f64 x) (/.f64 y x)) #s(literal 200000000000000013066955221149234614006420798956587259551286384346253844053977495787045794389248620240281172723795887588127372414002777379796274447149163924589277282496240804681694345098045284941494988528265817679549884087553314090994018176858671070391939629056 binary64)) (/.f64 #s(approx ( (cosh x) (/ y x)) (.f64 (fma.f64 x #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) y)) z) (.f64 y (/.f64 (/.f64 #s(approx (cosh x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 x x) #s(literal 1/2 binary64)) (.f64 x x) #s(literal 1 binary64))) x) z)))
(if (<=.f64 x #s(literal 2176715800697727/18446744073709551616 binary64)) (/.f64 #s(approx (* (cosh x) (/ y x)) (.f64 (fma.f64 x #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) y)) z) (/.f64 #s(approx ( (cosh x) (/ y x)) (.f64 #s(approx (/ (+ ( (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (* x x)) 1) x) (.f64 (.f64 (.f64 (.f64 (*.f64 x x) x) x) x) #s(literal 1/720 binary64))) y)) z))
(if (<=.f64 x #s(literal 3999999999999999797548541188296075467854580044053640292335616 binary64)) (/.f64 (/.f64 (.f64 y #s(approx (cosh x) (fma.f64 (.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)))) z) x) (if (<=.f64 x #s(literal 13999999999999999624126215218373424466723756628999792018937385960434328649190950682933561119844203475201553338089456373175085254909523321112146188185894912 binary64)) #s(approx (/ (* (cosh x) (/ y x)) z) #s(approx (* (+ (* (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (* x x)) 1) (/ y (* z x))) (.f64 (.f64 (/.f64 y z) #s(literal 1/720 binary64)) (.f64 (.f64 (.f64 (.f64 x x) x) x) x)))) (.f64 y (/.f64 (/.f64 #s(approx (cosh x) (fma.f64 (.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) x) z))))
(if (<=.f64 (/.f64 (.f64 (cosh.f64 x) (/.f64 y x)) z) #s(literal 1018517988167243/509258994083621521567111422102344540262867098416484062659035112338595324940834176545849344 binary64)) #s(approx (/ ( (cosh x) (/ y x)) z) (.f64 (fma.f64 (.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)) (/.f64 y (.f64 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))
(if (<=.f64 z #s(literal 980000000000000059194853867096009746699167727616 binary64)) (/.f64 (.f64 (/.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (.f64 x x) #s(literal 1 binary64))) z) y) x) (.f64 y (/.f64 (/.f64 #s(approx (cosh x) (fma.f64 (.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) x) z)))
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#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 y (*.f64 z x)))

Outputs
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(if (<=.f64 (.f64 (cosh.f64 x) (/.f64 y x)) #s(literal 200000000000000013066955221149234614006420798956587259551286384346253844053977495787045794389248620240281172723795887588127372414002777379796274447149163924589277282496240804681694345098045284941494988528265817679549884087553314090994018176858671070391939629056 binary64)) (/.f64 #s(approx ( (cosh x) (/ y x)) (.f64 (fma.f64 x #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) y)) z) (.f64 y (/.f64 (/.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) x) z)))
(if (<=.f64 (.f64 (/.f64 y x) (cosh.f64 x)) #s(literal 200000000000000013066955221149234614006420798956587259551286384346253844053977495787045794389248620240281172723795887588127372414002777379796274447149163924589277282496240804681694345098045284941494988528265817679549884087553314090994018176858671070391939629056 binary64)) (/.f64 #s(approx ( (cosh x) (/ y x)) (.f64 (fma.f64 x #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) y)) z) (.f64 (/.f64 (/.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) x) z) y))
(if (<=.f64 (.f64 (cosh.f64 x) (/.f64 y x)) #s(literal 15000000000000000599416962859597286268292298311907741586869805743617360815139146475078991890397891018710994412703538609307308220165811629102134579032325668844971129066190350107803648 binary64)) (/.f64 #s(approx ( (cosh x) (/ y x)) (.f64 (fma.f64 x #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) y)) z) (.f64 y (/.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (.f64 x x) #s(literal 1 binary64))) (.f64 z x))))
(if (<=.f64 (.f64 (/.f64 y x) (cosh.f64 x)) #s(literal 15000000000000000599416962859597286268292298311907741586869805743617360815139146475078991890397891018710994412703538609307308220165811629102134579032325668844971129066190350107803648 binary64)) (/.f64 #s(approx ( (cosh x) (/ y x)) (.f64 (fma.f64 x #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) y)) z) (.f64 (/.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (.f64 x x) #s(literal 1 binary64))) (.f64 z x)) y))
(if (<=.f64 (/.f64 (.f64 (cosh.f64 x) (/.f64 y x)) z) #s(literal 999999999999999957860902350346284132153551878096514283852517773229033154005572478626236537071903625148082612890986863714202457020042006419681526374965874177788623543449994485057258262661745948026767632275613049896960078961318150545418464661067991669581788285529005480705688196068853638234112 binary64)) (/.f64 #s(approx ( (cosh x) (/ y x)) (/.f64 y x)) z) (.f64 y (/.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (.f64 x x) #s(literal 1 binary64))) (*.f64 z x))))
(if (<=.f64 (/.f64 (.f64 (/.f64 y x) (cosh.f64 x)) z) #s(literal 999999999999999957860902350346284132153551878096514283852517773229033154005572478626236537071903625148082612890986863714202457020042006419681526374965874177788623543449994485057258262661745948026767632275613049896960078961318150545418464661067991669581788285529005480705688196068853638234112 binary64)) (/.f64 #s(approx ( (cosh x) (/ y x)) (/.f64 y x)) z) (.f64 (/.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (.f64 x x) #s(literal 1 binary64))) (*.f64 z x)) y))
(if (<=.f64 (/.f64 (.f64 (cosh.f64 x) (/.f64 y x)) z) #s(literal 999999999999999957860902350346284132153551878096514283852517773229033154005572478626236537071903625148082612890986863714202457020042006419681526374965874177788623543449994485057258262661745948026767632275613049896960078961318150545418464661067991669581788285529005480705688196068853638234112 binary64)) (/.f64 #s(approx ( (cosh x) (/ y x)) (/.f64 y x)) z) #s(approx (/ (* (cosh x) (/ y x)) z) (.f64 (fma.f64 (.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)) (/.f64 y (*.f64 z x)))))
(if (<=.f64 (/.f64 (.f64 (/.f64 y x) (cosh.f64 x)) z) #s(literal 999999999999999957860902350346284132153551878096514283852517773229033154005572478626236537071903625148082612890986863714202457020042006419681526374965874177788623543449994485057258262661745948026767632275613049896960078961318150545418464661067991669581788285529005480705688196068853638234112 binary64)) (/.f64 #s(approx ( (cosh x) (/ y x)) (/.f64 y x)) z) #s(approx (/ (* (cosh x) (/ y x)) z) (.f64 (/.f64 y (.f64 z x)) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)))))
(if (<=.f64 x #s(literal 2176715800697727/18446744073709551616 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 2176715800697727/18446744073709551616 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 2176715800697727/18446744073709551616 binary64)) #s(approx (/ (* (cosh x) (/ y x)) z) (/.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 2176715800697727/18446744073709551616 binary64)) #s(approx (/ (* (cosh x) (/ y x)) z) (/.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 (/ (* (cosh x) (/ y x)) z) (/.f64 y (*.f64 z x)))

soundness2.5s (23.3%)

Memory

-19.6MiB live, 1 582.7MiB allocated

Rules

29 182×	`lower-fma.f64`
29 182×	`lower-fma.f32`
17 786×	`lower-fma.f64`
17 786×	`lower-fma.f32`
16 858×	`lower-fma.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	225	7024
1	721	7014
2	2242	6865
3	6631	6850
0	8183	6555
0	32	192
0	54	192
1	198	192
2	1279	192
0	8830	192
0	167	5882
1	509	5874
2	1564	5748
3	4547	5746
0	8138	5555
0	231	6778
1	743	6768
2	2305	6641
3	6013	6626
0	8423	6344
0	7	19
0	11	19
1	36	19
2	208	19
3	2161	19
0	8571	19
0	70	1004
1	201	1000
2	596	988
3	1406	982
4	2096	982
5	2761	980
6	3294	980
7	4780	976
8	5441	976
9	5911	976
10	6442	976
11	7732	976
0	8015	958
0	38	315
0	63	315
1	241	315
2	1609	315
0	8339	315
0	50	415
0	82	409
1	303	407
2	2128	404
0	8584	397

Stop Event

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

Compiler

Compiled 1 679 to 702 computations (58.2% saved)

preprocess459.0ms (4.3%)

Memory: 35.9MiB live, 341.3MiB allocated
Compiler: Compiled 1 854 to 480 computations (74.1% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated