Metrics for Diagrams.TwoD.Layout.CirclePacking:approxRadius from diagrams-contrib-1.3.0.5

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated

analyze180.0ms (1.2%)

Memory

1.2MiB live, 352.3MiB allocated

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	99.9%	0.1%	0%	0%	0%	0
0%	0%	99.9%	0.1%	0%	0%	0%	1
0%	0%	99.9%	0.1%	0%	0%	0%	2
0%	0%	99.9%	0.1%	0%	0%	0%	3
0%	0%	99.9%	0.1%	0%	0%	0%	4
0%	0%	99.9%	0.1%	0%	0%	0%	5
0%	0%	99.9%	0.1%	0%	0%	0%	6
12.5%	12.5%	87.4%	0.1%	0%	0%	0%	7
15.6%	15.6%	84.3%	0.1%	0%	0%	0%	8
28.1%	28.1%	71.8%	0.1%	0%	0%	0%	9
30.5%	30.4%	69.5%	0.1%	0%	0%	0%	10
38.3%	38.2%	61.7%	0.1%	0%	0%	0%	11
39.6%	39.6%	60.3%	0.1%	0%	0%	0%	12

Compiler

Compiled 15 to 10 computations (33.3% saved)

sample2.2s (14.8%)

Memory

20.4MiB live, 1 865.6MiB allocated

Samples

1.4s	3 916×	1	valid
264.0ms	4 340×	0	valid

Precisions

Click to see histograms. Total time spent on operations: 1.1s

ival-sin: 531.0ms (47.7% of total)

ival-tan: 226.0ms (20.3% of total)

ival-div: 206.0ms (18.5% of total)

ival-mult: 89.0ms (8% of total)

adjust: 48.0ms (4.3% of total)

ival-true: 6.0ms (0.5% of total)

exact: 5.0ms (0.4% of total)

ival-assert: 3.0ms (0.3% of total)

Bogosity

explain172.0ms (1.2%)

Memory

-25.0MiB live, 230.4MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
132	-	-	`(tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))`
132	-	-	`(sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))`
34	-	-	`(/.f64 (tan.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))))`
0	-	-	`y`
0	-	-	`#s(literal 2 binary64)`
0	-	-	`(/.f64 x (*.f64 y #s(literal 2 binary64)))`
0	-	-	`x`
0	-	-	`(*.f64 y #s(literal 2 binary64))`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`sin.f64`	`(sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))`	sensitivity	100	0
`tan.f64`	`(tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))`	sensitivity	100	0
`/.f64`	`(/.f64 (tan.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))))`	u/u	34	0
↳	`(/.f64 x (*.f64 y #s(literal 2 binary64)))`	underflow	34
↳	`(tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))`	underflow	34
↳	`(/.f64 x (*.f64 y #s(literal 2 binary64)))`	underflow	34
↳	`(sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))`	underflow	34
`sin.f64`	`(sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))`	oflow-rescue	32	0
↳	`(/.f64 x (*.f64 y #s(literal 2 binary64)))`	overflow	32
`tan.f64`	`(tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))`	oflow-rescue	32	0
↳	`(/.f64 x (*.f64 y #s(literal 2 binary64)))`	overflow	32

Confusion

	Predicted +	Predicted -
+	166	0
-	0	90

Precision

1.0

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	166	0	0
-	0	0	90

Precision?

1.0

Recall?

1.0

Freqs

test

number	freq
0	90
1	34
2	132

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

53.0ms	254×	1	valid
20.0ms	258×	0	valid

Compiler

Compiled 91 to 28 computations (69.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 55.0ms

ival-tan: 16.0ms (29.2% of total)

ival-div: 15.0ms (27.4% of total)

ival-sin: 12.0ms (21.9% of total)

ival-mult: 7.0ms (12.8% of total)

adjust: 3.0ms (5.5% of total)

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

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

exact: 0.0ms (0% of total)

preprocess27.0ms (0.2%)

Memory

30.8MiB live, 30.8MiB allocated

Algorithm

1×	egg-herbie

Rules

80×	`associate-/r*`
72×	`times-frac`
66×	`sub-neg`
66×	`div-sub`
58×	`associate-l`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	22	75
1	52	67
2	106	65
3	177	65
4	260	65
5	433	65
6	544	65
7	584	65
8	603	65
9	616	65
0	8	13
0	13	13
1	16	13
2	18	13
0	18	13

Stop Event

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

Calls

Call 1

Inputs
(/.f64 (tan.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))))

Outputs
(/.f64 (tan.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))))

Symmetry

(abs y)

(abs x)

Compiler

Compiled 15 to 8 computations (46.7% saved)

eval0.0ms (0%)

Memory: 0.3MiB live, 0.3MiB allocated
Compiler: Compiled 2 to 2 computations (0% saved)

prune1.0ms (0%)

Memory

1.2MiB live, 1.2MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	40.5%	(/.f64 (tan.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))))

Compiler

Compiled 15 to 8 computations (46.7% saved)

simplify4.0ms (0%)

Memory

5.1MiB live, 5.1MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
cost-diff	0	(*.f64 y #s(literal 2 binary64))
cost-diff	0	(/.f64 x (*.f64 y #s(literal 2 binary64)))
cost-diff	0	(tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))
cost-diff	0	(/.f64 (tan.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))))

Rules

12×	`lower-/.f32`
8×	`lower-/.f64`
4×	`lift-/.f64`
4×	`lower-*.f32`
4×	`associate-/r*`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	36
0	13	36
1	16	36
2	18	36
0	18	36

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

Inputs
(/.f64 (tan.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))))
(tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))
(/.f64 x (*.f64 y #s(literal 2 binary64)))
x
(*.f64 y #s(literal 2 binary64))
y
#s(literal 2 binary64)
(sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))

Outputs
(/.f64 (tan.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))))
(tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))
(/.f64 x (*.f64 y #s(literal 2 binary64)))
x
(*.f64 y #s(literal 2 binary64))
y
#s(literal 2 binary64)
(sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))

localize76.0ms (0.5%)

Memory

-1.9MiB live, 72.1MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0	(*.f64 y #s(literal 2 binary64))
accuracy	8.37899978572806	(/.f64 (tan.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))))
accuracy	29.31035079051208	(sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))
accuracy	29.367430868950073	(tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))

Samples

59.0ms	127×	1	valid
8.0ms	129×	0	valid

Compiler

Compiled 38 to 10 computations (73.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 58.0ms

ival-tan: 38.0ms (66% of total)

ival-sin: 12.0ms (20.8% of total)

ival-div: 5.0ms (8.7% of total)

adjust: 2.0ms (3.5% of total)

ival-mult: 2.0ms (3.5% of total)

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

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

exact: 0.0ms (0% of total)

series23.0ms (0.2%)

Memory

-1.8MiB live, 35.9MiB allocated

Counts

5 → 108

Calls

Call 1

Inputs
#s(alt (/.f64 (tan.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (.f64 y #s(literal 2 binary64))))) (patch (/.f64 (tan.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (.f64 y #s(literal 2 binary64))))) #<representation binary64>) () ())
#s(alt (tan.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) (patch (tan.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) #<representation binary64>) () ())
#s(alt (/.f64 x (.f64 y #s(literal 2 binary64))) (patch (/.f64 x (.f64 y #s(literal 2 binary64))) #<representation binary64>) () ())
#s(alt (.f64 y #s(literal 2 binary64)) (patch (.f64 y #s(literal 2 binary64)) #<representation binary64>) () ())
#s(alt (sin.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) (patch (sin.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) #<representation binary64>) () ())

Outputs
#s(alt 1 (taylor 0 x) (#s(alt (/.f64 (tan.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (.f64 y #s(literal 2 binary64))))) (patch (/.f64 (tan.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (.f64 y #s(literal 2 binary64))))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* 1/8 (/ (pow x 2) (pow y 2)))) (taylor 0 x) (#s(alt (/.f64 (tan.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (.f64 y #s(literal 2 binary64))))) (patch (/.f64 (tan.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (.f64 y #s(literal 2 binary64))))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* (pow x 2) (+ (* 5/384 (/ (pow x 2) (pow y 4))) (* 1/8 (/ 1 (pow y 2)))))) (taylor 0 x) (#s(alt (/.f64 (tan.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (.f64 y #s(literal 2 binary64))))) (patch (/.f64 (tan.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (.f64 y #s(literal 2 binary64))))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* (pow x 2) (+ (* (pow x 2) (+ (* 61/46080 (/ (pow x 2) (pow y 6))) (* 5/384 (/ 1 (pow y 4))))) (* 1/8 (/ 1 (pow y 2)))))) (taylor 0 x) (#s(alt (/.f64 (tan.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (.f64 y #s(literal 2 binary64))))) (patch (/.f64 (tan.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (.f64 y #s(literal 2 binary64))))) #<representation binary64>) () ())) ())
#s(alt (/ 1 (cos (* 1/2 (/ x y)))) (taylor inf x) (#s(alt (/.f64 (tan.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (.f64 y #s(literal 2 binary64))))) (patch (/.f64 (tan.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (.f64 y #s(literal 2 binary64))))) #<representation binary64>) () ())) ())
#s(alt (/ 1 (cos (* 1/2 (/ x y)))) (taylor inf x) (#s(alt (/.f64 (tan.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (.f64 y #s(literal 2 binary64))))) (patch (/.f64 (tan.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (.f64 y #s(literal 2 binary64))))) #<representation binary64>) () ())) ())
#s(alt (/ 1 (cos (* 1/2 (/ x y)))) (taylor inf x) (#s(alt (/.f64 (tan.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (.f64 y #s(literal 2 binary64))))) (patch (/.f64 (tan.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (.f64 y #s(literal 2 binary64))))) #<representation binary64>) () ())) ())
#s(alt (/ 1 (cos (* 1/2 (/ x y)))) (taylor inf x) (#s(alt (/.f64 (tan.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (.f64 y #s(literal 2 binary64))))) (patch (/.f64 (tan.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (.f64 y #s(literal 2 binary64))))) #<representation binary64>) () ())) ())
#s(alt (/ 1 (cos (* 1/2 (/ x y)))) (taylor -inf x) (#s(alt (/.f64 (tan.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (.f64 y #s(literal 2 binary64))))) (patch (/.f64 (tan.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (.f64 y #s(literal 2 binary64))))) #<representation binary64>) () ())) ())
#s(alt (/ 1 (cos (* 1/2 (/ x y)))) (taylor -inf x) (#s(alt (/.f64 (tan.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (.f64 y #s(literal 2 binary64))))) (patch (/.f64 (tan.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (.f64 y #s(literal 2 binary64))))) #<representation binary64>) () ())) ())
#s(alt (/ 1 (cos (* 1/2 (/ x y)))) (taylor -inf x) (#s(alt (/.f64 (tan.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (.f64 y #s(literal 2 binary64))))) (patch (/.f64 (tan.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (.f64 y #s(literal 2 binary64))))) #<representation binary64>) () ())) ())
#s(alt (/ 1 (cos (* 1/2 (/ x y)))) (taylor -inf x) (#s(alt (/.f64 (tan.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (.f64 y #s(literal 2 binary64))))) (patch (/.f64 (tan.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (.f64 y #s(literal 2 binary64))))) #<representation binary64>) () ())) ())
#s(alt (/ 1 (cos (* 1/2 (/ x y)))) (taylor 0 y) (#s(alt (/.f64 (tan.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (.f64 y #s(literal 2 binary64))))) (patch (/.f64 (tan.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (.f64 y #s(literal 2 binary64))))) #<representation binary64>) () ())) ())
#s(alt (/ 1 (cos (* 1/2 (/ x y)))) (taylor 0 y) (#s(alt (/.f64 (tan.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (.f64 y #s(literal 2 binary64))))) (patch (/.f64 (tan.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (.f64 y #s(literal 2 binary64))))) #<representation binary64>) () ())) ())
#s(alt (/ 1 (cos (* 1/2 (/ x y)))) (taylor 0 y) (#s(alt (/.f64 (tan.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (.f64 y #s(literal 2 binary64))))) (patch (/.f64 (tan.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (.f64 y #s(literal 2 binary64))))) #<representation binary64>) () ())) ())
#s(alt (/ 1 (cos (* 1/2 (/ x y)))) (taylor 0 y) (#s(alt (/.f64 (tan.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (.f64 y #s(literal 2 binary64))))) (patch (/.f64 (tan.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (.f64 y #s(literal 2 binary64))))) #<representation binary64>) () ())) ())
#s(alt 1 (taylor inf y) (#s(alt (/.f64 (tan.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (.f64 y #s(literal 2 binary64))))) (patch (/.f64 (tan.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (.f64 y #s(literal 2 binary64))))) #<representation binary64>) () ())) ())
#s(alt (- (+ 1 (* 2 (/ (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3))) (* x (pow y 2))))) (* -1/24 (/ (pow x 2) (pow y 2)))) (taylor inf y) (#s(alt (/.f64 (tan.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (.f64 y #s(literal 2 binary64))))) (patch (/.f64 (tan.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (.f64 y #s(literal 2 binary64))))) #<representation binary64>) () ())) ())
#s(alt (- (+ 1 (+ (* 2 (/ (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3))) (* x (pow y 2)))) (* 2 (/ (- (* 1/3840 (pow x 5)) (+ (* -1/8 (* (pow x 2) (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3))))) (* 1/768 (pow x 5)))) (* x (pow y 4)))))) (+ (* -1/24 (/ (* (pow x 2) (- (* 2 (/ (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3))) x)) (* -1/24 (pow x 2)))) (pow y 4))) (+ (* -1/24 (/ (pow x 2) (pow y 2))) (* 1/1920 (/ (pow x 4) (pow y 4)))))) (taylor inf y) (#s(alt (/.f64 (tan.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (.f64 y #s(literal 2 binary64))))) (patch (/.f64 (tan.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (.f64 y #s(literal 2 binary64))))) #<representation binary64>) () ())) ())
#s(alt (- (+ 1 (+ (* 2 (/ (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3))) (* x (pow y 2)))) (+ (* 2 (/ (- (* -1/645120 (pow x 7)) (+ (* -1/8 (* (pow x 2) (- (* 1/3840 (pow x 5)) (+ (* -1/8 (* (pow x 2) (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3))))) (* 1/768 (pow x 5)))))) (+ (* -1/92160 (pow x 7)) (* 1/384 (* (pow x 4) (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3)))))))) (* x (pow y 6)))) (* 2 (/ (- (* 1/3840 (pow x 5)) (+ (* -1/8 (* (pow x 2) (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3))))) (* 1/768 (pow x 5)))) (* x (pow y 4))))))) (+ (* -1/24 (/ (* (pow x 2) (- (* 2 (/ (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3))) x)) (* -1/24 (pow x 2)))) (pow y 4))) (+ (* -1/24 (/ (* (pow x 2) (- (* 2 (/ (- (* 1/3840 (pow x 5)) (+ (* -1/8 (* (pow x 2) (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3))))) (* 1/768 (pow x 5)))) x)) (+ (* -1/24 (* (pow x 2) (- (* 2 (/ (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3))) x)) (* -1/24 (pow x 2))))) (* 1/1920 (pow x 4))))) (pow y 6))) (+ (* -1/24 (/ (pow x 2) (pow y 2))) (+ (* -1/322560 (/ (pow x 6) (pow y 6))) (+ (* 1/1920 (/ (* (pow x 4) (- (* 2 (/ (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3))) x)) (* -1/24 (pow x 2)))) (pow y 6))) (* 1/1920 (/ (pow x 4) (pow y 4))))))))) (taylor inf y) (#s(alt (/.f64 (tan.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (.f64 y #s(literal 2 binary64))))) (patch (/.f64 (tan.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (.f64 y #s(literal 2 binary64))))) #<representation binary64>) () ())) ())
#s(alt 1 (taylor -inf y) (#s(alt (/.f64 (tan.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (.f64 y #s(literal 2 binary64))))) (patch (/.f64 (tan.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (.f64 y #s(literal 2 binary64))))) #<representation binary64>) () ())) ())
#s(alt (- (+ 1 (* -2 (/ (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3))) (* x (pow y 2))))) (* -1/24 (/ (pow x 2) (pow y 2)))) (taylor -inf y) (#s(alt (/.f64 (tan.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (.f64 y #s(literal 2 binary64))))) (patch (/.f64 (tan.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (.f64 y #s(literal 2 binary64))))) #<representation binary64>) () ())) ())
#s(alt (- (+ 1 (+ (* -2 (/ (- (* -1/3840 (pow x 5)) (+ (* -1/8 (* (pow x 2) (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3))))) (* -1/768 (pow x 5)))) (* x (pow y 4)))) (* -2 (/ (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3))) (* x (pow y 2)))))) (+ (* -1/24 (/ (* (pow x 2) (- (* -2 (/ (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3))) x)) (* -1/24 (pow x 2)))) (pow y 4))) (+ (* -1/24 (/ (pow x 2) (pow y 2))) (* 1/1920 (/ (pow x 4) (pow y 4)))))) (taylor -inf y) (#s(alt (/.f64 (tan.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (.f64 y #s(literal 2 binary64))))) (patch (/.f64 (tan.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (.f64 y #s(literal 2 binary64))))) #<representation binary64>) () ())) ())
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#s(alt (/ (+ (* -1/48 (/ (pow x 3) (pow y 2))) (* 1/2 x)) y) (taylor inf y) (#s(alt (sin.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) (patch (sin.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* -1/48 (/ (pow x 3) (pow y 2))) (+ (* 1/3840 (/ (pow x 5) (pow y 4))) (* 1/2 x))) y) (taylor inf y) (#s(alt (sin.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) (patch (sin.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* -1/48 (/ (pow x 3) (pow y 2))) (+ (* -1/645120 (/ (pow x 7) (pow y 6))) (+ (* 1/3840 (/ (pow x 5) (pow y 4))) (* 1/2 x)))) y) (taylor inf y) (#s(alt (sin.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) (patch (sin.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ x y)) (taylor -inf y) (#s(alt (sin.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) (patch (sin.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (+ (* -1/2 x) (* 1/48 (/ (pow x 3) (pow y 2)))) y)) (taylor -inf y) (#s(alt (sin.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) (patch (sin.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (+ (* -1/2 x) (+ (* -1/3840 (/ (pow x 5) (pow y 4))) (* 1/48 (/ (pow x 3) (pow y 2))))) y)) (taylor -inf y) (#s(alt (sin.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) (patch (sin.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (+ (* -1/2 x) (+ (* -1/3840 (/ (pow x 5) (pow y 4))) (+ (* 1/645120 (/ (pow x 7) (pow y 6))) (* 1/48 (/ (pow x 3) (pow y 2)))))) y)) (taylor -inf y) (#s(alt (sin.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) (patch (sin.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) #<representation binary64>) () ())) ())

Calls

27 calls:

Time	Variable		Point	Expression
7.0ms	y	@	inf	(/ (tan (/ x (* y 2))) (sin (/ x (* y 2))))
2.0ms	y	@	-inf	(/ (tan (/ x (* y 2))) (sin (/ x (* y 2))))
2.0ms	x	@	inf	(/ x (* y 2))
1.0ms	x	@	0	(/ (tan (/ x (* y 2))) (sin (/ x (* y 2))))
1.0ms	x	@	inf	(/ (tan (/ x (* y 2))) (sin (/ x (* y 2))))

simplify335.0ms (2.3%)

Memory

-2.9MiB live, 457.1MiB allocated

Algorithm

1×	egg-herbie

Rules

14 468×	`lower-fma.f64`
14 468×	`lower-fma.f32`
6 082×	`lower-+.f64`
6 082×	`lower-+.f32`
5 448×	`lower-*.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	316	2054
1	950	2028
2	3388	1926
0	9111	1817

Stop Event

1×	iter limit
1×	node limit

Counts

108 → 108

Calls

Call 1

Inputs
1
(+ 1 (* 1/8 (/ (pow x 2) (pow y 2))))
(+ 1 (* (pow x 2) (+ (* 5/384 (/ (pow x 2) (pow y 4))) (* 1/8 (/ 1 (pow y 2))))))
(+ 1 (* (pow x 2) (+ (* (pow x 2) (+ (* 61/46080 (/ (pow x 2) (pow y 6))) (* 5/384 (/ 1 (pow y 4))))) (* 1/8 (/ 1 (pow y 2))))))
(/ 1 (cos (* 1/2 (/ x y))))
(/ 1 (cos (* 1/2 (/ x y))))
(/ 1 (cos (* 1/2 (/ x y))))
(/ 1 (cos (* 1/2 (/ x y))))
(/ 1 (cos (* 1/2 (/ x y))))
(/ 1 (cos (* 1/2 (/ x y))))
(/ 1 (cos (* 1/2 (/ x y))))
(/ 1 (cos (* 1/2 (/ x y))))
(/ 1 (cos (* 1/2 (/ x y))))
(/ 1 (cos (* 1/2 (/ x y))))
(/ 1 (cos (* 1/2 (/ x y))))
(/ 1 (cos (* 1/2 (/ x y))))
1
(- (+ 1 (* 2 (/ (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3))) (* x (pow y 2))))) (* -1/24 (/ (pow x 2) (pow y 2))))
(- (+ 1 (+ (* 2 (/ (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3))) (* x (pow y 2)))) (* 2 (/ (- (* 1/3840 (pow x 5)) (+ (* -1/8 (* (pow x 2) (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3))))) (* 1/768 (pow x 5)))) (* x (pow y 4)))))) (+ (* -1/24 (/ (* (pow x 2) (- (* 2 (/ (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3))) x)) (* -1/24 (pow x 2)))) (pow y 4))) (+ (* -1/24 (/ (pow x 2) (pow y 2))) (* 1/1920 (/ (pow x 4) (pow y 4))))))
(- (+ 1 (+ (* 2 (/ (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3))) (* x (pow y 2)))) (+ (* 2 (/ (- (* -1/645120 (pow x 7)) (+ (* -1/8 (* (pow x 2) (- (* 1/3840 (pow x 5)) (+ (* -1/8 (* (pow x 2) (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3))))) (* 1/768 (pow x 5)))))) (+ (* -1/92160 (pow x 7)) (* 1/384 (* (pow x 4) (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3)))))))) (* x (pow y 6)))) (* 2 (/ (- (* 1/3840 (pow x 5)) (+ (* -1/8 (* (pow x 2) (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3))))) (* 1/768 (pow x 5)))) (* x (pow y 4))))))) (+ (* -1/24 (/ (* (pow x 2) (- (* 2 (/ (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3))) x)) (* -1/24 (pow x 2)))) (pow y 4))) (+ (* -1/24 (/ (* (pow x 2) (- (* 2 (/ (- (* 1/3840 (pow x 5)) (+ (* -1/8 (* (pow x 2) (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3))))) (* 1/768 (pow x 5)))) x)) (+ (* -1/24 (* (pow x 2) (- (* 2 (/ (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3))) x)) (* -1/24 (pow x 2))))) (* 1/1920 (pow x 4))))) (pow y 6))) (+ (* -1/24 (/ (pow x 2) (pow y 2))) (+ (* -1/322560 (/ (pow x 6) (pow y 6))) (+ (* 1/1920 (/ (* (pow x 4) (- (* 2 (/ (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3))) x)) (* -1/24 (pow x 2)))) (pow y 6))) (* 1/1920 (/ (pow x 4) (pow y 4)))))))))
1
(- (+ 1 (* -2 (/ (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3))) (* x (pow y 2))))) (* -1/24 (/ (pow x 2) (pow y 2))))
(- (+ 1 (+ (* -2 (/ (- (* -1/3840 (pow x 5)) (+ (* -1/8 (* (pow x 2) (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3))))) (* -1/768 (pow x 5)))) (* x (pow y 4)))) (* -2 (/ (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3))) (* x (pow y 2)))))) (+ (* -1/24 (/ (* (pow x 2) (- (* -2 (/ (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3))) x)) (* -1/24 (pow x 2)))) (pow y 4))) (+ (* -1/24 (/ (pow x 2) (pow y 2))) (* 1/1920 (/ (pow x 4) (pow y 4))))))
(- (+ 1 (+ (* -2 (/ (- (* -1/3840 (pow x 5)) (+ (* -1/8 (* (pow x 2) (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3))))) (* -1/768 (pow x 5)))) (* x (pow y 4)))) (+ (* -2 (/ (- (* 1/645120 (pow x 7)) (+ (* -1/8 (* (pow x 2) (- (* -1/3840 (pow x 5)) (+ (* -1/8 (* (pow x 2) (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3))))) (* -1/768 (pow x 5)))))) (+ (* 1/92160 (pow x 7)) (* 1/384 (* (pow x 4) (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3)))))))) (* x (pow y 6)))) (* -2 (/ (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3))) (* x (pow y 2))))))) (+ (* -1/24 (/ (* (pow x 2) (- (* -2 (/ (- (* -1/3840 (pow x 5)) (+ (* -1/8 (* (pow x 2) (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3))))) (* -1/768 (pow x 5)))) x)) (+ (* -1/24 (* (pow x 2) (- (* -2 (/ (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3))) x)) (* -1/24 (pow x 2))))) (* 1/1920 (pow x 4))))) (pow y 6))) (+ (* -1/24 (/ (* (pow x 2) (- (* -2 (/ (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3))) x)) (* -1/24 (pow x 2)))) (pow y 4))) (+ (* -1/24 (/ (pow x 2) (pow y 2))) (+ (* -1/322560 (/ (pow x 6) (pow y 6))) (+ (* 1/1920 (/ (* (pow x 4) (- (* -2 (/ (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3))) x)) (* -1/24 (pow x 2)))) (pow y 6))) (* 1/1920 (/ (pow x 4) (pow y 4)))))))))
(* 1/2 (/ x y))
(* x (+ (* 1/24 (/ (pow x 2) (pow y 3))) (* 1/2 (/ 1 y))))
(* x (+ (* (pow x 2) (+ (* 1/240 (/ (pow x 2) (pow y 5))) (* 1/24 (/ 1 (pow y 3))))) (* 1/2 (/ 1 y))))
(* x (+ (* (pow x 2) (+ (* (pow x 2) (+ (* 17/40320 (/ (pow x 2) (pow y 7))) (* 1/240 (/ 1 (pow y 5))))) (* 1/24 (/ 1 (pow y 3))))) (* 1/2 (/ 1 y))))
(/ (sin (* 1/2 (/ x y))) (cos (* 1/2 (/ x y))))
(/ (sin (* 1/2 (/ x y))) (cos (* 1/2 (/ x y))))
(/ (sin (* 1/2 (/ x y))) (cos (* 1/2 (/ x y))))
(/ (sin (* 1/2 (/ x y))) (cos (* 1/2 (/ x y))))
(/ (sin (* 1/2 (/ x y))) (cos (* 1/2 (/ x y))))
(/ (sin (* 1/2 (/ x y))) (cos (* 1/2 (/ x y))))
(/ (sin (* 1/2 (/ x y))) (cos (* 1/2 (/ x y))))
(/ (sin (* 1/2 (/ x y))) (cos (* 1/2 (/ x y))))
(/ (sin (* 1/2 (/ x y))) (cos (* 1/2 (/ x y))))
(/ (sin (* 1/2 (/ x y))) (cos (* 1/2 (/ x y))))
(/ (sin (* 1/2 (/ x y))) (cos (* 1/2 (/ x y))))
(/ (sin (* 1/2 (/ x y))) (cos (* 1/2 (/ x y))))
(* 1/2 (/ x y))
(/ (- (+ (* -1/48 (/ (pow x 3) (pow y 2))) (* 1/2 x)) (* -1/16 (/ (pow x 3) (pow y 2)))) y)
(/ (- (+ (* -1/48 (/ (pow x 3) (pow y 2))) (+ (* 1/3840 (/ (pow x 5) (pow y 4))) (* 1/2 x))) (+ (* -1/8 (/ (* (pow x 2) (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3)))) (pow y 4))) (+ (* -1/16 (/ (pow x 3) (pow y 2))) (* 1/768 (/ (pow x 5) (pow y 4)))))) y)
(/ (- (+ (* -1/48 (/ (pow x 3) (pow y 2))) (+ (* -1/645120 (/ (pow x 7) (pow y 6))) (+ (* 1/3840 (/ (pow x 5) (pow y 4))) (* 1/2 x)))) (+ (* -1/8 (/ (* (pow x 2) (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3)))) (pow y 4))) (+ (* -1/8 (/ (* (pow x 2) (- (* 1/3840 (pow x 5)) (+ (* -1/8 (* (pow x 2) (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3))))) (* 1/768 (pow x 5))))) (pow y 6))) (+ (* -1/16 (/ (pow x 3) (pow y 2))) (+ (* -1/92160 (/ (pow x 7) (pow y 6))) (+ (* 1/768 (/ (pow x 5) (pow y 4))) (* 1/384 (/ (* (pow x 4) (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3)))) (pow y 6))))))))) y)
(* 1/2 (/ x y))
(* -1 (/ (- (+ (* -1/2 x) (* 1/48 (/ (pow x 3) (pow y 2)))) (* 1/16 (/ (pow x 3) (pow y 2)))) y))
(* -1 (/ (- (+ (* -1/2 x) (+ (* -1/3840 (/ (pow x 5) (pow y 4))) (* 1/48 (/ (pow x 3) (pow y 2))))) (+ (* -1/8 (/ (* (pow x 2) (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3)))) (pow y 4))) (+ (* -1/768 (/ (pow x 5) (pow y 4))) (* 1/16 (/ (pow x 3) (pow y 2)))))) y))
(* -1 (/ (- (+ (* -1/2 x) (+ (* -1/3840 (/ (pow x 5) (pow y 4))) (+ (* 1/645120 (/ (pow x 7) (pow y 6))) (* 1/48 (/ (pow x 3) (pow y 2)))))) (+ (* -1/8 (/ (* (pow x 2) (- (* -1/3840 (pow x 5)) (+ (* -1/8 (* (pow x 2) (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3))))) (* -1/768 (pow x 5))))) (pow y 6))) (+ (* -1/8 (/ (* (pow x 2) (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3)))) (pow y 4))) (+ (* -1/768 (/ (pow x 5) (pow y 4))) (+ (* 1/92160 (/ (pow x 7) (pow y 6))) (+ (* 1/384 (/ (* (pow x 4) (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3)))) (pow y 6))) (* 1/16 (/ (pow x 3) (pow y 2))))))))) y))
(* 1/2 (/ x y))
(* 1/2 (/ x y))
(* 1/2 (/ x y))
(* 1/2 (/ x y))
(* 1/2 (/ x y))
(* 1/2 (/ x y))
(* 1/2 (/ x y))
(* 1/2 (/ x y))
(* 1/2 (/ x y))
(* 1/2 (/ x y))
(* 1/2 (/ x y))
(* 1/2 (/ x y))
(* 1/2 (/ x y))
(* 1/2 (/ x y))
(* 1/2 (/ x y))
(* 1/2 (/ x y))
(* 1/2 (/ x y))
(* 1/2 (/ x y))
(* 1/2 (/ x y))
(* 1/2 (/ x y))
(* 1/2 (/ x y))
(* 1/2 (/ x y))
(* 1/2 (/ x y))
(* 1/2 (/ x y))
(* 2 y)
(* 2 y)
(* 2 y)
(* 2 y)
(* 2 y)
(* 2 y)
(* 2 y)
(* 2 y)
(* 2 y)
(* 2 y)
(* 2 y)
(* 2 y)
(* 1/2 (/ x y))
(* x (+ (* -1/48 (/ (pow x 2) (pow y 3))) (* 1/2 (/ 1 y))))
(* x (+ (* (pow x 2) (- (* 1/3840 (/ (pow x 2) (pow y 5))) (* 1/48 (/ 1 (pow y 3))))) (* 1/2 (/ 1 y))))
(* x (+ (* (pow x 2) (- (* (pow x 2) (+ (* -1/645120 (/ (pow x 2) (pow y 7))) (* 1/3840 (/ 1 (pow y 5))))) (* 1/48 (/ 1 (pow y 3))))) (* 1/2 (/ 1 y))))
(sin (* 1/2 (/ x y)))
(sin (* 1/2 (/ x y)))
(sin (* 1/2 (/ x y)))
(sin (* 1/2 (/ x y)))
(sin (* 1/2 (/ x y)))
(sin (* 1/2 (/ x y)))
(sin (* 1/2 (/ x y)))
(sin (* 1/2 (/ x y)))
(sin (* 1/2 (/ x y)))
(sin (* 1/2 (/ x y)))
(sin (* 1/2 (/ x y)))
(sin (* 1/2 (/ x y)))
(* 1/2 (/ x y))
(/ (+ (* -1/48 (/ (pow x 3) (pow y 2))) (* 1/2 x)) y)
(/ (+ (* -1/48 (/ (pow x 3) (pow y 2))) (+ (* 1/3840 (/ (pow x 5) (pow y 4))) (* 1/2 x))) y)
(/ (+ (* -1/48 (/ (pow x 3) (pow y 2))) (+ (* -1/645120 (/ (pow x 7) (pow y 6))) (+ (* 1/3840 (/ (pow x 5) (pow y 4))) (* 1/2 x)))) y)
(* 1/2 (/ x y))
(* -1 (/ (+ (* -1/2 x) (* 1/48 (/ (pow x 3) (pow y 2)))) y))
(* -1 (/ (+ (* -1/2 x) (+ (* -1/3840 (/ (pow x 5) (pow y 4))) (* 1/48 (/ (pow x 3) (pow y 2))))) y))
(* -1 (/ (+ (* -1/2 x) (+ (* -1/3840 (/ (pow x 5) (pow y 4))) (+ (* 1/645120 (/ (pow x 7) (pow y 6))) (* 1/48 (/ (pow x 3) (pow y 2)))))) y))

Outputs
1
#s(literal 1 binary64)
(+ 1 (* 1/8 (/ (pow x 2) (pow y 2))))
(fma.f64 (.f64 x x) (/.f64 #s(literal 1/8 binary64) (.f64 y y)) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (+ (* 5/384 (/ (pow x 2) (pow y 4))) (* 1/8 (/ 1 (pow y 2))))))
(fma.f64 (.f64 x x) (fma.f64 (.f64 (/.f64 #s(literal 5/384 binary64) (pow.f64 y #s(literal 4 binary64))) x) x (/.f64 #s(literal 1/8 binary64) (*.f64 y y))) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (+ (* (pow x 2) (+ (* 61/46080 (/ (pow x 2) (pow y 6))) (* 5/384 (/ 1 (pow y 4))))) (* 1/8 (/ 1 (pow y 2))))))
(fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 #s(literal 61/46080 binary64) (/.f64 (.f64 x x) (pow.f64 y #s(literal 6 binary64))) (/.f64 #s(literal 5/384 binary64) (pow.f64 y #s(literal 4 binary64)))) (/.f64 #s(literal 1/8 binary64) (.f64 y y))) #s(literal 1 binary64))
(/ 1 (cos (* 1/2 (/ x y))))
(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y)))
(/ 1 (cos (* 1/2 (/ x y))))
(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y)))
(/ 1 (cos (* 1/2 (/ x y))))
(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y)))
(/ 1 (cos (* 1/2 (/ x y))))
(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y)))
(/ 1 (cos (* 1/2 (/ x y))))
(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y)))
(/ 1 (cos (* 1/2 (/ x y))))
(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y)))
(/ 1 (cos (* 1/2 (/ x y))))
(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y)))
(/ 1 (cos (* 1/2 (/ x y))))
(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y)))
(/ 1 (cos (* 1/2 (/ x y))))
(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y)))
(/ 1 (cos (* 1/2 (/ x y))))
(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y)))
(/ 1 (cos (* 1/2 (/ x y))))
(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y)))
(/ 1 (cos (* 1/2 (/ x y))))
(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y)))
1
#s(literal 1 binary64)
(- (+ 1 (* 2 (/ (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3))) (* x (pow y 2))))) (* -1/24 (/ (pow x 2) (pow y 2))))
(fma.f64 (/.f64 (.f64 x x) (.f64 y y)) #s(literal 1/24 binary64) (fma.f64 #s(literal 2 binary64) (/.f64 (.f64 (.f64 x (.f64 x x)) #s(literal 1/24 binary64)) (.f64 x (*.f64 y y))) #s(literal 1 binary64)))
(- (+ 1 (+ (* 2 (/ (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3))) (* x (pow y 2)))) (* 2 (/ (- (* 1/3840 (pow x 5)) (+ (* -1/8 (* (pow x 2) (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3))))) (* 1/768 (pow x 5)))) (* x (pow y 4)))))) (+ (* -1/24 (/ (* (pow x 2) (- (* 2 (/ (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3))) x)) (* -1/24 (pow x 2)))) (pow y 4))) (+ (* -1/24 (/ (pow x 2) (pow y 2))) (* 1/1920 (/ (pow x 4) (pow y 4))))))
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(* 1/2 (/ x y))
(/.f64 (*.f64 x #s(literal 1/2 binary64)) y)
(* 1/2 (/ x y))
(/.f64 (*.f64 x #s(literal 1/2 binary64)) y)
(* 1/2 (/ x y))
(/.f64 (*.f64 x #s(literal 1/2 binary64)) y)
(* 1/2 (/ x y))
(/.f64 (*.f64 x #s(literal 1/2 binary64)) y)
(* 1/2 (/ x y))
(/.f64 (*.f64 x #s(literal 1/2 binary64)) y)
(* 1/2 (/ x y))
(/.f64 (*.f64 x #s(literal 1/2 binary64)) y)
(* 1/2 (/ x y))
(/.f64 (*.f64 x #s(literal 1/2 binary64)) y)
(* 1/2 (/ x y))
(/.f64 (*.f64 x #s(literal 1/2 binary64)) y)
(* 1/2 (/ x y))
(/.f64 (*.f64 x #s(literal 1/2 binary64)) y)
(* 1/2 (/ x y))
(/.f64 (*.f64 x #s(literal 1/2 binary64)) y)
(* 1/2 (/ x y))
(/.f64 (*.f64 x #s(literal 1/2 binary64)) y)
(* 1/2 (/ x y))
(/.f64 (*.f64 x #s(literal 1/2 binary64)) y)
(* 1/2 (/ x y))
(/.f64 (*.f64 x #s(literal 1/2 binary64)) y)
(* 1/2 (/ x y))
(/.f64 (*.f64 x #s(literal 1/2 binary64)) y)
(* 1/2 (/ x y))
(/.f64 (*.f64 x #s(literal 1/2 binary64)) y)
(* 1/2 (/ x y))
(/.f64 (*.f64 x #s(literal 1/2 binary64)) y)
(* 1/2 (/ x y))
(/.f64 (*.f64 x #s(literal 1/2 binary64)) y)
(* 1/2 (/ x y))
(/.f64 (*.f64 x #s(literal 1/2 binary64)) y)
(* 1/2 (/ x y))
(/.f64 (*.f64 x #s(literal 1/2 binary64)) y)
(* 1/2 (/ x y))
(/.f64 (*.f64 x #s(literal 1/2 binary64)) y)
(* 1/2 (/ x y))
(/.f64 (*.f64 x #s(literal 1/2 binary64)) y)
(* 1/2 (/ x y))
(/.f64 (*.f64 x #s(literal 1/2 binary64)) y)
(* 1/2 (/ x y))
(/.f64 (*.f64 x #s(literal 1/2 binary64)) y)
(* 2 y)
(*.f64 #s(literal 2 binary64) y)
(* 2 y)
(*.f64 #s(literal 2 binary64) y)
(* 2 y)
(*.f64 #s(literal 2 binary64) y)
(* 2 y)
(*.f64 #s(literal 2 binary64) y)
(* 2 y)
(*.f64 #s(literal 2 binary64) y)
(* 2 y)
(*.f64 #s(literal 2 binary64) y)
(* 2 y)
(*.f64 #s(literal 2 binary64) y)
(* 2 y)
(*.f64 #s(literal 2 binary64) y)
(* 2 y)
(*.f64 #s(literal 2 binary64) y)
(* 2 y)
(*.f64 #s(literal 2 binary64) y)
(* 2 y)
(*.f64 #s(literal 2 binary64) y)
(* 2 y)
(*.f64 #s(literal 2 binary64) y)
(* 1/2 (/ x y))
(/.f64 (*.f64 x #s(literal 1/2 binary64)) y)
(* x (+ (* -1/48 (/ (pow x 2) (pow y 3))) (* 1/2 (/ 1 y))))
(.f64 x (fma.f64 #s(literal -1/48 binary64) (/.f64 (.f64 x x) (.f64 y (.f64 y y))) (/.f64 #s(literal 1/2 binary64) y)))
(* x (+ (* (pow x 2) (- (* 1/3840 (/ (pow x 2) (pow y 5))) (* 1/48 (/ 1 (pow y 3))))) (* 1/2 (/ 1 y))))
(.f64 x (fma.f64 (.f64 x x) (fma.f64 x (.f64 x (/.f64 #s(literal 1/3840 binary64) (pow.f64 y #s(literal 5 binary64)))) (/.f64 #s(literal -1/48 binary64) (.f64 y (*.f64 y y)))) (/.f64 #s(literal 1/2 binary64) y)))
(* x (+ (* (pow x 2) (- (* (pow x 2) (+ (* -1/645120 (/ (pow x 2) (pow y 7))) (* 1/3840 (/ 1 (pow y 5))))) (* 1/48 (/ 1 (pow y 3))))) (* 1/2 (/ 1 y))))
(.f64 x (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 #s(literal -1/645120 binary64) (/.f64 (.f64 x x) (pow.f64 y #s(literal 7 binary64))) (/.f64 #s(literal 1/3840 binary64) (pow.f64 y #s(literal 5 binary64)))) (/.f64 #s(literal -1/48 binary64) (.f64 y (.f64 y y)))) (/.f64 #s(literal 1/2 binary64) y)))
(sin (* 1/2 (/ x y)))
(sin.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y))
(sin (* 1/2 (/ x y)))
(sin.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y))
(sin (* 1/2 (/ x y)))
(sin.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y))
(sin (* 1/2 (/ x y)))
(sin.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y))
(sin (* 1/2 (/ x y)))
(sin.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y))
(sin (* 1/2 (/ x y)))
(sin.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y))
(sin (* 1/2 (/ x y)))
(sin.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y))
(sin (* 1/2 (/ x y)))
(sin.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y))
(sin (* 1/2 (/ x y)))
(sin.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y))
(sin (* 1/2 (/ x y)))
(sin.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y))
(sin (* 1/2 (/ x y)))
(sin.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y))
(sin (* 1/2 (/ x y)))
(sin.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y))
(* 1/2 (/ x y))
(/.f64 (*.f64 x #s(literal 1/2 binary64)) y)
(/ (+ (* -1/48 (/ (pow x 3) (pow y 2))) (* 1/2 x)) y)
(/.f64 (fma.f64 #s(literal -1/48 binary64) (/.f64 (.f64 x (.f64 x x)) (.f64 y y)) (.f64 x #s(literal 1/2 binary64))) y)
(/ (+ (* -1/48 (/ (pow x 3) (pow y 2))) (+ (* 1/3840 (/ (pow x 5) (pow y 4))) (* 1/2 x))) y)
(/.f64 (fma.f64 (.f64 x (.f64 x x)) (/.f64 #s(literal -1/48 binary64) (.f64 y y)) (fma.f64 (pow.f64 x #s(literal 5 binary64)) (/.f64 #s(literal 1/3840 binary64) (pow.f64 y #s(literal 4 binary64))) (.f64 x #s(literal 1/2 binary64)))) y)
(/ (+ (* -1/48 (/ (pow x 3) (pow y 2))) (+ (* -1/645120 (/ (pow x 7) (pow y 6))) (+ (* 1/3840 (/ (pow x 5) (pow y 4))) (* 1/2 x)))) y)
(/.f64 (fma.f64 #s(literal -1/48 binary64) (/.f64 (.f64 x (.f64 x x)) (.f64 y y)) (fma.f64 (pow.f64 x #s(literal 7 binary64)) (/.f64 #s(literal -1/645120 binary64) (pow.f64 y #s(literal 6 binary64))) (fma.f64 (pow.f64 x #s(literal 5 binary64)) (/.f64 #s(literal 1/3840 binary64) (pow.f64 y #s(literal 4 binary64))) (.f64 x #s(literal 1/2 binary64))))) y)
(* 1/2 (/ x y))
(/.f64 (*.f64 x #s(literal 1/2 binary64)) y)
(* -1 (/ (+ (* -1/2 x) (* 1/48 (/ (pow x 3) (pow y 2)))) y))
(/.f64 (fma.f64 (.f64 x (.f64 x x)) (/.f64 #s(literal 1/48 binary64) (.f64 y y)) (.f64 x #s(literal -1/2 binary64))) (neg.f64 y))
(* -1 (/ (+ (* -1/2 x) (+ (* -1/3840 (/ (pow x 5) (pow y 4))) (* 1/48 (/ (pow x 3) (pow y 2))))) y))
(/.f64 (fma.f64 (.f64 x (.f64 x x)) (/.f64 #s(literal 1/48 binary64) (.f64 y y)) (fma.f64 (pow.f64 x #s(literal 5 binary64)) (/.f64 #s(literal -1/3840 binary64) (pow.f64 y #s(literal 4 binary64))) (.f64 x #s(literal -1/2 binary64)))) (neg.f64 y))
(* -1 (/ (+ (* -1/2 x) (+ (* -1/3840 (/ (pow x 5) (pow y 4))) (+ (* 1/645120 (/ (pow x 7) (pow y 6))) (* 1/48 (/ (pow x 3) (pow y 2)))))) y))
(/.f64 (fma.f64 x #s(literal -1/2 binary64) (fma.f64 (pow.f64 x #s(literal 5 binary64)) (/.f64 #s(literal -1/3840 binary64) (pow.f64 y #s(literal 4 binary64))) (fma.f64 (.f64 x (.f64 x x)) (/.f64 #s(literal 1/48 binary64) (.f64 y y)) (/.f64 (.f64 (pow.f64 x #s(literal 7 binary64)) #s(literal 1/645120 binary64)) (pow.f64 y #s(literal 6 binary64)))))) (neg.f64 y))

rewrite340.0ms (2.3%)

Memory

-10.5MiB live, 246.8MiB allocated

Rules

2 672×	`lower-*.f32`
2 670×	`lower-*.f64`
2 226×	`lower-/.f32`
2 222×	`lower-/.f64`
1 360×	`lower-fma.f64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	8	33
0	13	33
1	33	33
2	142	28
3	788	28
0	8171	28

Stop Event

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

Counts

5 → 380

Calls

Call 1

Inputs
(/.f64 (tan.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))))
(tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))
(/.f64 x (*.f64 y #s(literal 2 binary64)))
(*.f64 y #s(literal 2 binary64))
(sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))

Outputs
(+.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))))
(+.f64 (.f64 (/.f64 #s(literal 1 binary64) (sin.f64 (/.f64 x (.f64 y #s(literal -2 binary64))))) #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))))
(exp.f64 (.f64 #s(literal -1 binary64) (log.f64 (cos.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))))))
(-.f64 #s(literal 0 binary64) (/.f64 #s(literal -1 binary64) (cos.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))))
(-.f64 (/.f64 #s(literal 0 binary64) (.f64 (+.f64 (sin.f64 (/.f64 x y)) (sin.f64 #s(literal 0 binary64))) #s(literal 1/2 binary64))) (/.f64 #s(literal -1 binary64) (cos.f64 (/.f64 x (.f64 y #s(literal 2 binary64))))))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (.f64 (+.f64 (sin.f64 (/.f64 x y)) (sin.f64 #s(literal 0 binary64))) #s(literal 1/2 binary64)))) (/.f64 #s(literal -1 binary64) (cos.f64 (/.f64 x (.f64 y #s(literal 2 binary64))))))
(fma.f64 (/.f64 #s(literal 1 binary64) (sin.f64 (/.f64 x (.f64 y #s(literal -2 binary64))))) #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x (.f64 y #s(literal 2 binary64))))))
(neg.f64 (/.f64 #s(literal -1 binary64) (cos.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))))
(/.f64 (tan.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))))
(/.f64 (sin.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) (.f64 (+.f64 (sin.f64 (/.f64 x y)) (sin.f64 #s(literal 0 binary64))) #s(literal 1/2 binary64)))
(/.f64 (tan.f64 (/.f64 x (.f64 y #s(literal -2 binary64)))) (sin.f64 (/.f64 x (.f64 y #s(literal -2 binary64)))))
(/.f64 (sin.f64 (/.f64 x (.f64 y #s(literal -2 binary64)))) (neg.f64 (.f64 (+.f64 (sin.f64 (/.f64 x y)) (sin.f64 #s(literal 0 binary64))) #s(literal 1/2 binary64))))
(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
(/.f64 (/.f64 #s(literal 1 binary64) (sin.f64 (/.f64 x (.f64 y #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) (tan.f64 (/.f64 x (.f64 y #s(literal 2 binary64))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (cos.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))))
(/.f64 (/.f64 #s(literal 1 binary64) (sin.f64 (/.f64 x (.f64 y #s(literal -2 binary64))))) (/.f64 #s(literal 1 binary64) (tan.f64 (/.f64 x (.f64 y #s(literal -2 binary64))))))
(/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) #s(literal 1 binary64))
(/.f64 (/.f64 #s(literal -1 binary64) (cos.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) #s(literal -1 binary64))
(/.f64 (/.f64 #s(literal 1 binary64) (.f64 (+.f64 (sin.f64 (/.f64 x y)) (sin.f64 #s(literal 0 binary64))) #s(literal 1/2 binary64))) (/.f64 #s(literal 1 binary64) (sin.f64 (/.f64 x (.f64 y #s(literal 2 binary64))))))
(/.f64 (neg.f64 (pow.f64 (tan.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) #s(literal 3 binary64))) (.f64 (sin.f64 (/.f64 x (.f64 y #s(literal -2 binary64)))) (pow.f64 (tan.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) #s(literal 2 binary64))))
(/.f64 (neg.f64 (pow.f64 (sin.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) #s(literal 3 binary64))) (.f64 (neg.f64 (.f64 (+.f64 (sin.f64 (/.f64 x y)) (sin.f64 #s(literal 0 binary64))) #s(literal 1/2 binary64))) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (/.f64 x y))))))
(/.f64 (neg.f64 (pow.f64 (tan.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) #s(literal 2 binary64))) (.f64 (sin.f64 (/.f64 x (.f64 y #s(literal -2 binary64)))) (tan.f64 (/.f64 x (.f64 y #s(literal 2 binary64))))))
(/.f64 (neg.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (/.f64 x y))))) (.f64 (neg.f64 (.f64 (+.f64 (sin.f64 (/.f64 x y)) (sin.f64 #s(literal 0 binary64))) #s(literal 1/2 binary64))) (sin.f64 (/.f64 x (.f64 y #s(literal 2 binary64))))))
(/.f64 (-.f64 #s(literal 0 binary64) (.f64 (sin.f64 (/.f64 x (.f64 y #s(literal -2 binary64)))) (tan.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))))) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (/.f64 x y)))))
(/.f64 (-.f64 (.f64 #s(literal 0 binary64) (neg.f64 (.f64 (+.f64 (sin.f64 (/.f64 x y)) (sin.f64 #s(literal 0 binary64))) #s(literal 1/2 binary64)))) (.f64 (sin.f64 (/.f64 x (.f64 y #s(literal -2 binary64)))) (sin.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))))) (.f64 (sin.f64 (/.f64 x (.f64 y #s(literal -2 binary64)))) (neg.f64 (.f64 (+.f64 (sin.f64 (/.f64 x y)) (sin.f64 #s(literal 0 binary64))) #s(literal 1/2 binary64)))))
(/.f64 (-.f64 #s(literal 0 binary64) (.f64 (sin.f64 (/.f64 x (.f64 y #s(literal -2 binary64)))) (tan.f64 (/.f64 x (.f64 y #s(literal -2 binary64)))))) (.f64 (sin.f64 (/.f64 x (.f64 y #s(literal -2 binary64)))) (sin.f64 (/.f64 x (.f64 y #s(literal 2 binary64))))))
(/.f64 (-.f64 (.f64 #s(literal 0 binary64) (.f64 (+.f64 (sin.f64 (/.f64 x y)) (sin.f64 #s(literal 0 binary64))) #s(literal 1/2 binary64))) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (/.f64 x y))))) (.f64 (sin.f64 (/.f64 x (.f64 y #s(literal -2 binary64)))) (.f64 (+.f64 (sin.f64 (/.f64 x y)) (sin.f64 #s(literal 0 binary64))) #s(literal 1/2 binary64))))
(/.f64 (.f64 (neg.f64 (pow.f64 (tan.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) #s(literal 3 binary64))) #s(literal 1 binary64)) (.f64 (pow.f64 (tan.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) #s(literal 2 binary64)) (sin.f64 (/.f64 x (*.f64 y #s(literal -2 binary64))))))
(/.f64 (.f64 (neg.f64 (pow.f64 (tan.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) #s(literal 3 binary64))) #s(literal -1 binary64)) (.f64 (pow.f64 (tan.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) #s(literal 2 binary64)) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))))
(/.f64 (.f64 (neg.f64 (pow.f64 (tan.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) #s(literal 2 binary64))) #s(literal 1 binary64)) (.f64 (tan.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (*.f64 y #s(literal -2 binary64))))))
(/.f64 (.f64 (neg.f64 (pow.f64 (tan.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) #s(literal 2 binary64))) #s(literal -1 binary64)) (.f64 (tan.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))))
(/.f64 (.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (tan.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) #s(literal 3 binary64)))) (.f64 (sin.f64 (/.f64 x (.f64 y #s(literal -2 binary64)))) (pow.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) #s(literal 2 binary64))))
(/.f64 (.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (tan.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) #s(literal 2 binary64)))) (.f64 (sin.f64 (/.f64 x (.f64 y #s(literal -2 binary64)))) (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))))
(/.f64 (.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 (tan.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) #s(literal 3 binary64)))) (.f64 (sin.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) (pow.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) #s(literal 2 binary64))))
(/.f64 (.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 (tan.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) #s(literal 2 binary64)))) (.f64 (sin.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))))
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (sin.f64 (/.f64 x (.f64 y #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) (sin.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))))) (cos.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (sin.f64 (/.f64 x (.f64 y #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) (sin.f64 (/.f64 x (.f64 y #s(literal -2 binary64)))))) (neg.f64 (cos.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (/.f64 #s(literal -1 binary64) (cos.f64 (/.f64 x (.f64 y #s(literal 2 binary64))))) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 (/.f64 #s(literal -1 binary64) (cos.f64 (/.f64 x (.f64 y #s(literal 2 binary64))))) (/.f64 #s(literal -1 binary64) (cos.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) #s(literal 0 binary64))))
(/.f64 (-.f64 #s(literal 0 binary64) (.f64 (/.f64 #s(literal -1 binary64) (cos.f64 (/.f64 x (.f64 y #s(literal 2 binary64))))) (/.f64 #s(literal -1 binary64) (cos.f64 (/.f64 x (.f64 y #s(literal 2 binary64))))))) (/.f64 #s(literal -1 binary64) (cos.f64 (/.f64 x (.f64 y #s(literal 2 binary64))))))
(/.f64 (.f64 (/.f64 #s(literal 1 binary64) (sin.f64 (/.f64 x (.f64 y #s(literal -2 binary64))))) (neg.f64 (pow.f64 (tan.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) #s(literal 3 binary64)))) (pow.f64 (tan.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) #s(literal 2 binary64)))
(/.f64 (.f64 (/.f64 #s(literal 1 binary64) (sin.f64 (/.f64 x (.f64 y #s(literal -2 binary64))))) (neg.f64 (pow.f64 (tan.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) #s(literal 2 binary64)))) (tan.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))))
(/.f64 (.f64 (neg.f64 (pow.f64 (tan.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (sin.f64 (/.f64 x (.f64 y #s(literal -2 binary64)))))) (pow.f64 (tan.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) #s(literal 2 binary64)))
(/.f64 (.f64 (neg.f64 (pow.f64 (tan.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (sin.f64 (/.f64 x (.f64 y #s(literal -2 binary64)))))) (tan.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))))
(pow.f64 (cos.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) #s(literal 1 binary64))
(pow.f64 (pow.f64 (cos.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) #s(literal -1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (.f64 (cos.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) (cos.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) #s(literal -1/2 binary64))
(pow.f64 (exp.f64 (log.f64 (cos.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))) #s(literal -1 binary64))
(.f64 (tan.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))))
(.f64 (sin.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 (sin.f64 (/.f64 x y)) (sin.f64 #s(literal 0 binary64))) #s(literal 1/2 binary64))))
(.f64 (tan.f64 (/.f64 x (.f64 y #s(literal -2 binary64)))) (/.f64 #s(literal 1 binary64) (sin.f64 (/.f64 x (*.f64 y #s(literal -2 binary64))))))
(.f64 (sin.f64 (/.f64 x (.f64 y #s(literal -2 binary64)))) (/.f64 #s(literal -1 binary64) (*.f64 (+.f64 (sin.f64 (/.f64 x y)) (sin.f64 #s(literal 0 binary64))) #s(literal 1/2 binary64))))
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(pow.f64 (.f64 (/.f64 y (.f64 x #s(literal 1/2 binary64))) (/.f64 y (*.f64 x #s(literal 1/2 binary64)))) #s(literal -1/2 binary64))
(pow.f64 (exp.f64 (log.f64 (/.f64 y (*.f64 x #s(literal 1/2 binary64))))) #s(literal -1 binary64))
(*.f64 x (/.f64 #s(literal 1/2 binary64) y))
(.f64 (/.f64 x (.f64 y #s(literal 2 binary64))) #s(literal 1 binary64))
(*.f64 (neg.f64 x) (/.f64 #s(literal -1/2 binary64) y))
(.f64 #s(literal 1 binary64) (/.f64 x (.f64 y #s(literal 2 binary64))))
(*.f64 (/.f64 #s(literal 1/2 binary64) y) x)
(*.f64 (/.f64 x y) #s(literal 1/2 binary64))
(.f64 #s(literal -1 binary64) (/.f64 x (.f64 y #s(literal -2 binary64))))
(*.f64 (/.f64 (neg.f64 x) y) #s(literal -1/2 binary64))
(*.f64 (/.f64 #s(literal -1/2 binary64) y) (neg.f64 x))
(*.f64 (/.f64 #s(literal -1/2 binary64) y) (pow.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)))
(*.f64 #s(literal 1/2 binary64) (/.f64 x y))
(*.f64 #s(literal 1/2 binary64) (/.f64 (/.f64 x y) #s(literal 1 binary64)))
(.f64 (/.f64 #s(literal 1 binary64) y) (.f64 x #s(literal 1/2 binary64)))
(.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 (.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(.f64 (/.f64 x (.f64 y #s(literal -2 binary64))) #s(literal -1 binary64))
(.f64 (.f64 x #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) y))
(.f64 (.f64 x #s(literal 1/2 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)))
(*.f64 #s(literal -1/2 binary64) (/.f64 (neg.f64 x) y))
(*.f64 #s(literal -1/2 binary64) (/.f64 (/.f64 (neg.f64 x) y) #s(literal 1 binary64)))
(.f64 (/.f64 #s(literal -1 binary64) y) (.f64 x #s(literal -1/2 binary64)))
(*.f64 (/.f64 #s(literal -1 binary64) y) (pow.f64 (/.f64 #s(literal -2 binary64) x) #s(literal -1 binary64)))
(.f64 (/.f64 #s(literal -1 binary64) y) (.f64 (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 (.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(.f64 (pow.f64 (.f64 y #s(literal 2 binary64)) #s(literal -1/2 binary64)) (/.f64 (pow.f64 (*.f64 y #s(literal 2 binary64)) #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) x)))
(.f64 (pow.f64 (.f64 y #s(literal 2 binary64)) #s(literal -1/2 binary64)) (.f64 (pow.f64 (.f64 y #s(literal 2 binary64)) #s(literal -1/2 binary64)) x))
(.f64 (pow.f64 (/.f64 x (.f64 y #s(literal 2 binary64))) #s(literal 1/2 binary64)) (pow.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))) #s(literal 1/2 binary64)))
(.f64 (pow.f64 (/.f64 x (.f64 y #s(literal 2 binary64))) #s(literal 1/2 binary64)) (.f64 (pow.f64 (/.f64 x (.f64 y #s(literal 2 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(.f64 (pow.f64 (/.f64 x (.f64 y #s(literal 2 binary64))) #s(literal 1/2 binary64)) (/.f64 (pow.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(.f64 (.f64 x #s(literal -1/2 binary64)) (/.f64 #s(literal -1 binary64) y))
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) (/.f64 #s(literal -1/2 binary64) y))
(*.f64 (pow.f64 (/.f64 #s(literal -2 binary64) x) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) y))
(.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)) (.f64 x #s(literal 1/2 binary64)))
(.f64 (/.f64 (pow.f64 (.f64 y #s(literal 2 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)) (/.f64 (pow.f64 (*.f64 y #s(literal 2 binary64)) #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) x)))
(.f64 (.f64 #s(literal -1/2 binary64) x) (/.f64 #s(literal -1 binary64) y))
(.f64 (.f64 x (pow.f64 (.f64 y #s(literal 2 binary64)) #s(literal -1/2 binary64))) (pow.f64 (.f64 y #s(literal 2 binary64)) #s(literal -1/2 binary64)))
(.f64 (.f64 #s(literal 1 binary64) (pow.f64 (/.f64 x (.f64 y #s(literal 2 binary64))) #s(literal 1/2 binary64))) (pow.f64 (/.f64 x (.f64 y #s(literal 2 binary64))) #s(literal 1/2 binary64)))
(.f64 (/.f64 (neg.f64 x) (neg.f64 (.f64 (.f64 y #s(literal 2 binary64)) (.f64 #s(literal 4 binary64) (.f64 y y))))) (.f64 #s(literal 4 binary64) (*.f64 y y)))
(.f64 (/.f64 (neg.f64 x) (neg.f64 (.f64 #s(literal 4 binary64) (.f64 y y)))) (.f64 y #s(literal 2 binary64)))
(+.f64 (*.f64 y #s(literal 2 binary64)) #s(literal 0 binary64))
(+.f64 #s(literal 0 binary64) (*.f64 y #s(literal 2 binary64)))
(exp.f64 (neg.f64 (.f64 #s(literal -1 binary64) (log.f64 (.f64 y #s(literal 2 binary64))))))
(-.f64 #s(literal 0 binary64) (*.f64 y #s(literal -2 binary64)))
(fma.f64 y #s(literal 2 binary64) #s(literal 0 binary64))
(fma.f64 #s(literal 2 binary64) y #s(literal 0 binary64))
(fma.f64 (*.f64 y #s(literal 2 binary64)) #s(literal 1 binary64) #s(literal 0 binary64))
(fma.f64 (*.f64 y #s(literal -2 binary64)) #s(literal -1 binary64) #s(literal 0 binary64))
(fma.f64 #s(literal 1 binary64) (*.f64 y #s(literal 2 binary64)) #s(literal 0 binary64))
(fma.f64 #s(literal -1 binary64) (*.f64 y #s(literal -2 binary64)) #s(literal 0 binary64))
(fma.f64 #s(literal -2 binary64) (neg.f64 y) #s(literal 0 binary64))
(fma.f64 #s(literal -2 binary64) (*.f64 (neg.f64 y) #s(literal 1 binary64)) #s(literal 0 binary64))
(fma.f64 (neg.f64 y) #s(literal -2 binary64) #s(literal 0 binary64))
(fma.f64 (*.f64 #s(literal 1 binary64) (neg.f64 y)) #s(literal -2 binary64) #s(literal 0 binary64))
(neg.f64 (*.f64 y #s(literal -2 binary64)))
(/.f64 y #s(literal 1/2 binary64))
(/.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) y))
(/.f64 (*.f64 y #s(literal 2 binary64)) #s(literal 1 binary64))
(/.f64 (*.f64 y #s(literal -2 binary64)) #s(literal -1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) y))
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1/2 binary64) y))
(/.f64 #s(literal -2 binary64) (/.f64 #s(literal -1 binary64) y))
(/.f64 (neg.f64 y) #s(literal -1/2 binary64))
(/.f64 (neg.f64 (.f64 (.f64 y #s(literal 2 binary64)) (.f64 #s(literal 4 binary64) (.f64 y y)))) (neg.f64 (.f64 #s(literal 4 binary64) (.f64 y y))))
(/.f64 (neg.f64 (.f64 (.f64 y #s(literal 2 binary64)) (.f64 #s(literal 4 binary64) (.f64 y y)))) (.f64 #s(literal -1 binary64) (.f64 #s(literal 4 binary64) (*.f64 y y))))
(/.f64 (neg.f64 (.f64 #s(literal 4 binary64) (.f64 y y))) (*.f64 y #s(literal -2 binary64)))
(/.f64 (neg.f64 (neg.f64 (.f64 (.f64 y #s(literal 2 binary64)) (.f64 #s(literal 4 binary64) (.f64 y y))))) (.f64 #s(literal 4 binary64) (.f64 y y)))
(/.f64 (neg.f64 (neg.f64 (.f64 #s(literal 4 binary64) (.f64 y y)))) (*.f64 y #s(literal 2 binary64)))
(/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (.f64 y #s(literal 2 binary64)) #s(literal -1/2 binary64))) (pow.f64 (.f64 y #s(literal 2 binary64)) #s(literal -1/2 binary64)))
(/.f64 (+.f64 #s(literal 0 binary64) (.f64 (.f64 y #s(literal 2 binary64)) (.f64 #s(literal 4 binary64) (.f64 y y)))) (+.f64 #s(literal 0 binary64) (-.f64 (.f64 #s(literal 4 binary64) (.f64 y y)) #s(literal 0 binary64))))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (.f64 y #s(literal -2 binary64)) #s(literal 3 binary64))) (.f64 #s(literal 4 binary64) (*.f64 y y)))
(/.f64 (.f64 #s(literal -1 binary64) (neg.f64 (.f64 (.f64 y #s(literal 2 binary64)) (.f64 #s(literal 4 binary64) (.f64 y y))))) (.f64 #s(literal 4 binary64) (*.f64 y y)))
(/.f64 (.f64 #s(literal -1 binary64) (neg.f64 (.f64 #s(literal 4 binary64) (.f64 y y)))) (.f64 y #s(literal 2 binary64)))
(pow.f64 (*.f64 y #s(literal 2 binary64)) #s(literal 1 binary64))
(pow.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal -1 binary64))
(*.f64 y #s(literal 2 binary64))
(*.f64 #s(literal 2 binary64) y)
(.f64 (.f64 y #s(literal 2 binary64)) #s(literal 1 binary64))
(.f64 (.f64 y #s(literal -2 binary64)) #s(literal -1 binary64))
(.f64 #s(literal 1 binary64) (.f64 y #s(literal 2 binary64)))
(.f64 #s(literal -1 binary64) (.f64 y #s(literal -2 binary64)))
(*.f64 #s(literal -2 binary64) (neg.f64 y))
(.f64 #s(literal -2 binary64) (.f64 (neg.f64 y) #s(literal 1 binary64)))
(*.f64 (neg.f64 y) #s(literal -2 binary64))
(.f64 (.f64 #s(literal 1 binary64) (neg.f64 y)) #s(literal -2 binary64))
(+.f64 (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) #s(literal 0 binary64))
(+.f64 #s(literal 0 binary64) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
(exp.f64 (neg.f64 (.f64 #s(literal -1 binary64) (log.f64 (sin.f64 (/.f64 x (.f64 y #s(literal 2 binary64))))))))
(-.f64 #s(literal 0 binary64) (sin.f64 (/.f64 x (*.f64 y #s(literal -2 binary64)))))
(-.f64 (.f64 (sin.f64 #s(literal 0 binary64)) (cos.f64 (/.f64 x (.f64 y #s(literal 2 binary64))))) (.f64 (cos.f64 #s(literal 0 binary64)) (sin.f64 (/.f64 x (.f64 y #s(literal -2 binary64))))))
(sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))
(fma.f64 (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) #s(literal 1 binary64) #s(literal 0 binary64))
(fma.f64 (sin.f64 (/.f64 x (*.f64 y #s(literal -2 binary64)))) #s(literal -1 binary64) #s(literal 0 binary64))
(fma.f64 #s(literal 1 binary64) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) #s(literal 0 binary64))
(fma.f64 #s(literal -1 binary64) (sin.f64 (/.f64 x (*.f64 y #s(literal -2 binary64)))) #s(literal 0 binary64))
(neg.f64 (sin.f64 (/.f64 x (*.f64 y #s(literal -2 binary64)))))
(/.f64 (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) #s(literal 1 binary64))
(/.f64 (sin.f64 (/.f64 x (*.f64 y #s(literal -2 binary64)))) #s(literal -1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))))
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 (/.f64 x (*.f64 y #s(literal -2 binary64))))))
(/.f64 (neg.f64 (pow.f64 (sin.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) #s(literal 3 binary64))) (neg.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (/.f64 x y))))))
(/.f64 (neg.f64 (pow.f64 (sin.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) #s(literal 3 binary64))) (.f64 #s(literal -1 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (/.f64 x y))))))
(/.f64 (neg.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (/.f64 x y))))) (sin.f64 (/.f64 x (.f64 y #s(literal -2 binary64)))))
(/.f64 (.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 (sin.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) #s(literal 3 binary64)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (/.f64 x y)))))
(/.f64 (.f64 #s(literal -1 binary64) (neg.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (/.f64 x y)))))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
(/.f64 (.f64 (neg.f64 (pow.f64 (sin.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) #s(literal 3 binary64))) #s(literal -1 binary64)) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (/.f64 x y)))))
(/.f64 (.f64 (neg.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (/.f64 x y))))) #s(literal -1 binary64)) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
(/.f64 (neg.f64 (neg.f64 (pow.f64 (sin.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) #s(literal 3 binary64)))) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (/.f64 x y)))))
(/.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (/.f64 x y)))))) (sin.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))))
(/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) #s(literal -1/2 binary64))) (pow.f64 (sin.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) #s(literal -1/2 binary64)))
(/.f64 (+.f64 #s(literal 0 binary64) (pow.f64 (sin.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (-.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (/.f64 x y)))) #s(literal 0 binary64))))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (sin.f64 (/.f64 x (.f64 y #s(literal -2 binary64)))) #s(literal 3 binary64))) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (/.f64 x y)))))
(pow.f64 (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) #s(literal 1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) #s(literal -1 binary64))
(.f64 (sin.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) #s(literal 1 binary64))
(.f64 (sin.f64 (/.f64 x (.f64 y #s(literal -2 binary64)))) #s(literal -1 binary64))
(.f64 #s(literal 1 binary64) (sin.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))))
(.f64 #s(literal -1 binary64) (sin.f64 (/.f64 x (.f64 y #s(literal -2 binary64)))))

eval123.0ms (0.8%)

Memory: 33.1MiB live, 148.6MiB allocated
Compiler: Compiled 14 207 to 1 770 computations (87.5% saved)

prune273.0ms (1.8%)

Memory

-27.4MiB live, 374.1MiB allocated

Pruning

57 alts after pruning (56 fresh and 1 done)

	Pruned	Kept	Total
New	623	56	679
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	623	57	680

Accuracy

60.1%

Counts

680 → 57

Alt Table

Click to see full alt table

Status	Accuracy	Program
	50.5%	(pow.f64 (pow.f64 (cos.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) #s(literal -1/2 binary64)) #s(literal 2 binary64))
▶	52.6%	(pow.f64 (.f64 (cos.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) (cos.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) #s(literal -1/2 binary64))
	6.5%	(/.f64 (/.f64 (.f64 (neg.f64 (pow.f64 (sin.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) #s(literal 3 binary64))) (/.f64 #s(literal -1 binary64) (cos.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))))) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (/.f64 x y))))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
	6.4%	(/.f64 (/.f64 (.f64 (neg.f64 (pow.f64 (sin.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) #s(literal 3 binary64))) (sin.f64 (/.f64 x (.f64 y #s(literal -2 binary64))))) (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (/.f64 x y)))) (.f64 (+.f64 (sin.f64 (/.f64 x y)) (sin.f64 #s(literal 0 binary64))) #s(literal 1/2 binary64)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
	40.5%	(/.f64 (/.f64 (sin.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) (cos.f64 (/.f64 x (.f64 y #s(literal 2 binary64))))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
	6.5%	(/.f64 (/.f64 (neg.f64 (pow.f64 (sin.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) #s(literal 3 binary64))) (.f64 (neg.f64 (cos.f64 (/.f64 x (.f64 y #s(literal 2 binary64))))) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (/.f64 x y)))))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
	39.6%	(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (tan.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))))) (sin.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))))
	39.7%	(/.f64 (/.f64 #s(literal 1 binary64) (sin.f64 (/.f64 x (.f64 y #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) (tan.f64 (/.f64 x (.f64 y #s(literal 2 binary64))))))
	6.6%	(/.f64 (-.f64 #s(literal 0 binary64) (.f64 (sin.f64 (/.f64 x (.f64 y #s(literal -2 binary64)))) (tan.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))))) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (/.f64 x y)))))
	39.7%	(/.f64 (tan.f64 (pow.f64 (pow.f64 (/.f64 x (.f64 y #s(literal 2 binary64))) #s(literal 1/2 binary64)) #s(literal 2 binary64))) (sin.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))))
	24.3%	(/.f64 (tan.f64 (pow.f64 (.f64 (/.f64 y (.f64 x #s(literal 1/2 binary64))) (/.f64 y (.f64 x #s(literal 1/2 binary64)))) #s(literal -1/2 binary64))) (sin.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))))
	39.8%	(/.f64 (tan.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 2 binary64) x))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
	27.6%	(/.f64 (tan.f64 (/.f64 (-.f64 (.f64 #s(literal 0 binary64) (/.f64 (.f64 y #s(literal -2 binary64)) x)) (.f64 y #s(literal -2 binary64))) (.f64 (.f64 y #s(literal -2 binary64)) (/.f64 (.f64 y #s(literal -2 binary64)) x)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
	19.5%	(/.f64 (tan.f64 (/.f64 (.f64 (/.f64 #s(literal -1/2 binary64) y) (neg.f64 (.f64 x x))) x)) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
	13.3%	(/.f64 (tan.f64 (/.f64 (.f64 (neg.f64 (.f64 x (.f64 x x))) #s(literal -1/2 binary64)) (.f64 (.f64 x x) y))) (sin.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))))
	19.4%	(/.f64 (tan.f64 (/.f64 (neg.f64 (.f64 x x)) (.f64 (.f64 y #s(literal -2 binary64)) x))) (sin.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))))
	15.6%	(/.f64 (tan.f64 (/.f64 x (/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (.f64 y #s(literal -2 binary64)) #s(literal 3 binary64))) (.f64 #s(literal 4 binary64) (.f64 y y))))) (sin.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))))
	39.6%	(/.f64 (tan.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))))))
	40.2%	(/.f64 (tan.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) (sin.f64 (pow.f64 (pow.f64 (/.f64 x (.f64 y #s(literal 2 binary64))) #s(literal 1/2 binary64)) #s(literal 2 binary64))))
	24.6%	(/.f64 (tan.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) (sin.f64 (pow.f64 (.f64 (/.f64 y (.f64 x #s(literal 1/2 binary64))) (/.f64 y (.f64 x #s(literal 1/2 binary64)))) #s(literal -1/2 binary64))))
	36.1%	(/.f64 (tan.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) (sin.f64 (pow.f64 (exp.f64 (log.f64 (/.f64 y (.f64 x #s(literal 1/2 binary64))))) #s(literal -1 binary64))))
	39.8%	(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 2 binary64) x))))
	27.7%	(/.f64 (tan.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 (-.f64 (.f64 #s(literal 0 binary64) (/.f64 (.f64 y #s(literal -2 binary64)) x)) (.f64 y #s(literal -2 binary64))) (.f64 (.f64 y #s(literal -2 binary64)) (/.f64 (*.f64 y #s(literal -2 binary64)) x)))))
	18.9%	(/.f64 (tan.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 (-.f64 #s(literal 0 binary64) (.f64 (.f64 y #s(literal -2 binary64)) x)) (.f64 #s(literal 4 binary64) (*.f64 y y)))))
	12.2%	(/.f64 (tan.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 (.f64 (/.f64 #s(literal -1/2 binary64) y) (neg.f64 (.f64 x (.f64 x x)))) (*.f64 x x))))
▶	19.5%	(/.f64 (tan.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 (.f64 (/.f64 #s(literal -1/2 binary64) y) (neg.f64 (*.f64 x x))) x)))
	19.3%	(/.f64 (tan.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 (.f64 (neg.f64 (.f64 x x)) #s(literal -1/2 binary64)) (.f64 x y))))
	40.0%	(/.f64 (tan.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (.f64 y #s(literal 2 binary64)) #s(literal -1/2 binary64))) (pow.f64 (*.f64 y #s(literal 2 binary64)) #s(literal -1/2 binary64))))))
	15.5%	(/.f64 (tan.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (/.f64 (neg.f64 (.f64 (.f64 y #s(literal 2 binary64)) (.f64 #s(literal 4 binary64) (.f64 y y)))) (neg.f64 (.f64 #s(literal 4 binary64) (*.f64 y y)))))))
✓	40.5%	(/.f64 (tan.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))))
	37.8%	(/.f64 (tan.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (exp.f64 (neg.f64 (.f64 #s(literal -1 binary64) (log.f64 (*.f64 y #s(literal 2 binary64)))))))))
	39.7%	(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 y x))))
	39.6%	(/.f64 (tan.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) (sin.f64 (.f64 (pow.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) (/.f64 #s(literal -1/2 binary64) y))))
	40.2%	(/.f64 (tan.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) (sin.f64 (.f64 (pow.f64 (.f64 y #s(literal 2 binary64)) #s(literal -1/2 binary64)) (/.f64 (pow.f64 (.f64 y #s(literal 2 binary64)) #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) x)))))
	39.9%	(/.f64 (tan.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) (sin.f64 (.f64 (/.f64 #s(literal 1/2 binary64) y) x)))
	36.3%	(/.f64 (tan.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) (sin.f64 (exp.f64 (.f64 #s(literal -1 binary64) (log.f64 (/.f64 y (*.f64 x #s(literal 1/2 binary64))))))))
	26.8%	(/.f64 (tan.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) #s(approx (sin (/ x ( y 2))) (/.f64 (fma.f64 #s(literal -1/48 binary64) (/.f64 (.f64 x (.f64 x x)) (.f64 y y)) (.f64 x #s(literal 1/2 binary64))) y)))
	36.1%	(/.f64 (tan.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) #s(approx (sin (/ x ( y 2))) (/.f64 (*.f64 x #s(literal 1/2 binary64)) y)))
	26.3%	(/.f64 (tan.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) #s(approx (sin (/ x ( y 2))) (.f64 x (fma.f64 #s(literal -1/48 binary64) (/.f64 (.f64 x x) (.f64 y (.f64 y y))) (/.f64 #s(literal 1/2 binary64) y)))))
	37.0%	(/.f64 (tan.f64 (/.f64 x (exp.f64 (neg.f64 (.f64 #s(literal -1 binary64) (log.f64 (.f64 y #s(literal 2 binary64)))))))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
	39.5%	(/.f64 (tan.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 y x))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
	39.8%	(/.f64 (tan.f64 (.f64 (pow.f64 (.f64 y #s(literal 2 binary64)) #s(literal -1/2 binary64)) (/.f64 (pow.f64 (.f64 y #s(literal 2 binary64)) #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) x)))) (sin.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))))
▶	40.0%	(/.f64 (tan.f64 (.f64 (pow.f64 (.f64 y #s(literal 2 binary64)) #s(literal -1/2 binary64)) (.f64 (pow.f64 (.f64 y #s(literal 2 binary64)) #s(literal -1/2 binary64)) x))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
	13.2%	(/.f64 (tan.f64 (.f64 (/.f64 (neg.f64 x) (neg.f64 (.f64 (.f64 y #s(literal 2 binary64)) (.f64 #s(literal 4 binary64) (.f64 y y))))) (.f64 #s(literal 4 binary64) (.f64 y y)))) (sin.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))))
	40.0%	(/.f64 (tan.f64 (.f64 (/.f64 #s(literal 1/2 binary64) y) x)) (sin.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))))
	36.2%	(/.f64 (tan.f64 (exp.f64 (.f64 #s(literal -1 binary64) (log.f64 (/.f64 y (.f64 x #s(literal 1/2 binary64))))))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
	40.2%	(/.f64 (sin.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) (.f64 (+.f64 (sin.f64 (/.f64 x y)) (sin.f64 #s(literal 0 binary64))) #s(literal 1/2 binary64)))
	20.1%	(/.f64 (neg.f64 (pow.f64 (tan.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) #s(literal 3 binary64))) (.f64 (sin.f64 (/.f64 x (.f64 y #s(literal -2 binary64)))) (pow.f64 (tan.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) #s(literal 2 binary64))))
	35.9%	(/.f64 #s(approx (tan (/ x (* y 2))) (/.f64 (.f64 x #s(literal 1/2 binary64)) y)) (sin.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))))
▶	53.8%	(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
	25.2%	(.f64 (/.f64 (/.f64 #s(literal 1 binary64) (sin.f64 (/.f64 x (.f64 y #s(literal 2 binary64))))) (sin.f64 (/.f64 x (.f64 y #s(literal 2 binary64))))) (/.f64 (sin.f64 (/.f64 x (.f64 y #s(literal -2 binary64)))) (/.f64 #s(literal 1 binary64) (tan.f64 (/.f64 x (*.f64 y #s(literal -2 binary64)))))))
	6.5%	(.f64 (/.f64 (tan.f64 (/.f64 x (.f64 y #s(literal -2 binary64)))) (neg.f64 (pow.f64 (sin.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) #s(literal 3 binary64)))) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (/.f64 x y)))))
	7.1%	(.f64 (/.f64 (tan.f64 (/.f64 x (.f64 y #s(literal -2 binary64)))) (neg.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (/.f64 x y)))))) (sin.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))))
	39.7%	(.f64 (/.f64 #s(literal 1 binary64) (sin.f64 (/.f64 x (.f64 y #s(literal 2 binary64))))) (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
	39.7%	(.f64 (sin.f64 (/.f64 x (.f64 y #s(literal -2 binary64)))) (/.f64 (/.f64 #s(literal 1 binary64) (sin.f64 (/.f64 x (.f64 y #s(literal -2 binary64))))) (cos.f64 (/.f64 x (.f64 y #s(literal 2 binary64))))))
	50.5%	(exp.f64 (.f64 #s(literal -1 binary64) (log.f64 (cos.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))))))
▶	53.9%	#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(literal 1 binary64))

Compiler

Compiled 2 447 to 1 552 computations (36.6% saved)

simplify311.0ms (2.1%)

Memory

22.7MiB live, 142.4MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 17 expressions of interest:

New	Metric	Score
cost-diff	0	(pow.f64 (*.f64 y #s(literal 2 binary64)) #s(literal -1/2 binary64))
cost-diff	0	(tan.f64 (.f64 (pow.f64 (.f64 y #s(literal 2 binary64)) #s(literal -1/2 binary64)) (.f64 (pow.f64 (.f64 y #s(literal 2 binary64)) #s(literal -1/2 binary64)) x)))
cost-diff	0	(/.f64 (tan.f64 (.f64 (pow.f64 (.f64 y #s(literal 2 binary64)) #s(literal -1/2 binary64)) (.f64 (pow.f64 (.f64 y #s(literal 2 binary64)) #s(literal -1/2 binary64)) x))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
cost-diff	13184	(.f64 (pow.f64 (.f64 y #s(literal 2 binary64)) #s(literal -1/2 binary64)) (.f64 (pow.f64 (.f64 y #s(literal 2 binary64)) #s(literal -1/2 binary64)) x))
cost-diff	0	(/.f64 x (*.f64 y #s(literal 2 binary64)))
cost-diff	0	(cos.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))
cost-diff	0	(.f64 (cos.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) (cos.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
cost-diff	0	(pow.f64 (.f64 (cos.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) (cos.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) #s(literal -1/2 binary64))
cost-diff	0	(tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))
cost-diff	0	(/.f64 (tan.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 (.f64 (/.f64 #s(literal -1/2 binary64) y) (neg.f64 (*.f64 x x))) x)))
cost-diff	128	(.f64 (/.f64 #s(literal -1/2 binary64) y) (neg.f64 (.f64 x x)))
cost-diff	1024	(/.f64 (.f64 (/.f64 #s(literal -1/2 binary64) y) (neg.f64 (.f64 x x))) x)
cost-diff	0	(*.f64 y #s(literal 2 binary64))
cost-diff	0	(/.f64 x (*.f64 y #s(literal 2 binary64)))
cost-diff	0	(cos.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))
cost-diff	0	(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
cost-diff	0	#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(literal 1 binary64))

Rules

4 814×	`lower-fma.f64`
4 814×	`lower-fma.f32`
3 392×	`lower-*.f32`
3 380×	`lower-*.f64`
2 506×	`unsub-neg`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	31	241
0	52	212
1	74	209
2	133	201
3	305	201
4	917	201
5	2611	201
6	3800	201
7	6601	201
0	8269	201

Stop Event

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

Calls

Call 1

Inputs
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(literal 1 binary64))
#s(literal 1 binary64)
(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
#s(literal 1 binary64)
(cos.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))
(/.f64 x (*.f64 y #s(literal 2 binary64)))
x
(*.f64 y #s(literal 2 binary64))
y
#s(literal 2 binary64)
(/.f64 (tan.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 (.f64 (/.f64 #s(literal -1/2 binary64) y) (neg.f64 (*.f64 x x))) x)))
(tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))
(/.f64 x (*.f64 y #s(literal 2 binary64)))
x
(*.f64 y #s(literal 2 binary64))
y
#s(literal 2 binary64)
(sin.f64 (/.f64 (.f64 (/.f64 #s(literal -1/2 binary64) y) (neg.f64 (.f64 x x))) x))
(/.f64 (.f64 (/.f64 #s(literal -1/2 binary64) y) (neg.f64 (.f64 x x))) x)
(.f64 (/.f64 #s(literal -1/2 binary64) y) (neg.f64 (.f64 x x)))
(/.f64 #s(literal -1/2 binary64) y)
#s(literal -1/2 binary64)
(neg.f64 (*.f64 x x))
(*.f64 x x)
(pow.f64 (.f64 (cos.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) (cos.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) #s(literal -1/2 binary64))
(.f64 (cos.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) (cos.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
(cos.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))
(/.f64 x (*.f64 y #s(literal 2 binary64)))
x
(*.f64 y #s(literal 2 binary64))
y
#s(literal 2 binary64)
#s(literal -1/2 binary64)
(/.f64 (tan.f64 (.f64 (pow.f64 (.f64 y #s(literal 2 binary64)) #s(literal -1/2 binary64)) (.f64 (pow.f64 (.f64 y #s(literal 2 binary64)) #s(literal -1/2 binary64)) x))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
(tan.f64 (.f64 (pow.f64 (.f64 y #s(literal 2 binary64)) #s(literal -1/2 binary64)) (.f64 (pow.f64 (.f64 y #s(literal 2 binary64)) #s(literal -1/2 binary64)) x)))
(.f64 (pow.f64 (.f64 y #s(literal 2 binary64)) #s(literal -1/2 binary64)) (.f64 (pow.f64 (.f64 y #s(literal 2 binary64)) #s(literal -1/2 binary64)) x))
(pow.f64 (*.f64 y #s(literal 2 binary64)) #s(literal -1/2 binary64))
(*.f64 y #s(literal 2 binary64))
y
#s(literal 2 binary64)
#s(literal -1/2 binary64)
(.f64 (pow.f64 (.f64 y #s(literal 2 binary64)) #s(literal -1/2 binary64)) x)
x
(sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))
(/.f64 x (*.f64 y #s(literal 2 binary64)))

Outputs
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(literal 1 binary64))
#s(literal 1 binary64)
(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y))))
#s(literal 1 binary64)
(cos.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))
(cos.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y)))
(/.f64 x (*.f64 y #s(literal 2 binary64)))
(*.f64 (/.f64 x y) #s(literal 1/2 binary64))
x
(*.f64 y #s(literal 2 binary64))
y
#s(literal 2 binary64)
(/.f64 (tan.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 (.f64 (/.f64 #s(literal -1/2 binary64) y) (neg.f64 (*.f64 x x))) x)))
(/.f64 (tan.f64 (.f64 (/.f64 x y) #s(literal 1/2 binary64))) (sin.f64 (.f64 (/.f64 x y) #s(literal 1/2 binary64))))
(tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))
(tan.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64)))
(/.f64 x (*.f64 y #s(literal 2 binary64)))
(*.f64 (/.f64 x y) #s(literal 1/2 binary64))
x
(*.f64 y #s(literal 2 binary64))
y
#s(literal 2 binary64)
(sin.f64 (/.f64 (.f64 (/.f64 #s(literal -1/2 binary64) y) (neg.f64 (.f64 x x))) x))
(sin.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64)))
(/.f64 (.f64 (/.f64 #s(literal -1/2 binary64) y) (neg.f64 (.f64 x x))) x)
(*.f64 (/.f64 x y) #s(literal 1/2 binary64))
(.f64 (/.f64 #s(literal -1/2 binary64) y) (neg.f64 (.f64 x x)))
(.f64 x (.f64 (/.f64 x y) #s(literal 1/2 binary64)))
(/.f64 #s(literal -1/2 binary64) y)
#s(literal -1/2 binary64)
(neg.f64 (*.f64 x x))
(*.f64 x x)
(pow.f64 (.f64 (cos.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) (cos.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) #s(literal -1/2 binary64))
(pow.f64 (.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) (/.f64 x y))) (cos.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y)))) #s(literal -1/2 binary64))
(.f64 (cos.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) (cos.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
(.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) (/.f64 x y))) (cos.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y))))
(cos.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))
(cos.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y)))
(/.f64 x (*.f64 y #s(literal 2 binary64)))
(*.f64 (/.f64 x y) #s(literal 1/2 binary64))
x
(*.f64 y #s(literal 2 binary64))
y
#s(literal 2 binary64)
#s(literal -1/2 binary64)
(/.f64 (tan.f64 (.f64 (pow.f64 (.f64 y #s(literal 2 binary64)) #s(literal -1/2 binary64)) (.f64 (pow.f64 (.f64 y #s(literal 2 binary64)) #s(literal -1/2 binary64)) x))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
(/.f64 (tan.f64 (.f64 (/.f64 x y) #s(literal 1/2 binary64))) (sin.f64 (.f64 (/.f64 x y) #s(literal 1/2 binary64))))
(tan.f64 (.f64 (pow.f64 (.f64 y #s(literal 2 binary64)) #s(literal -1/2 binary64)) (.f64 (pow.f64 (.f64 y #s(literal 2 binary64)) #s(literal -1/2 binary64)) x)))
(tan.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64)))
(.f64 (pow.f64 (.f64 y #s(literal 2 binary64)) #s(literal -1/2 binary64)) (.f64 (pow.f64 (.f64 y #s(literal 2 binary64)) #s(literal -1/2 binary64)) x))
(*.f64 (/.f64 x y) #s(literal 1/2 binary64))
(pow.f64 (*.f64 y #s(literal 2 binary64)) #s(literal -1/2 binary64))
(*.f64 y #s(literal 2 binary64))
y
#s(literal 2 binary64)
#s(literal -1/2 binary64)
(.f64 (pow.f64 (.f64 y #s(literal 2 binary64)) #s(literal -1/2 binary64)) x)
(.f64 x (pow.f64 (.f64 y #s(literal 2 binary64)) #s(literal -1/2 binary64)))
x
(sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))
(sin.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64)))
(/.f64 x (*.f64 y #s(literal 2 binary64)))
(*.f64 (/.f64 x y) #s(literal 1/2 binary64))

localize236.0ms (1.6%)

Memory

-12.4MiB live, 222.8MiB allocated

Localize:

Found 17 expressions of interest:

New	Metric	Score
accuracy	0.258476269536884	(.f64 (pow.f64 (.f64 y #s(literal 2 binary64)) #s(literal -1/2 binary64)) (.f64 (pow.f64 (.f64 y #s(literal 2 binary64)) #s(literal -1/2 binary64)) x))
accuracy	8.37899978572806	(/.f64 (tan.f64 (.f64 (pow.f64 (.f64 y #s(literal 2 binary64)) #s(literal -1/2 binary64)) (.f64 (pow.f64 (.f64 y #s(literal 2 binary64)) #s(literal -1/2 binary64)) x))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
accuracy	29.31035079051208	(sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))
accuracy	29.367430868950073	(tan.f64 (.f64 (pow.f64 (.f64 y #s(literal 2 binary64)) #s(literal -1/2 binary64)) (.f64 (pow.f64 (.f64 y #s(literal 2 binary64)) #s(literal -1/2 binary64)) x)))
accuracy	0	(*.f64 y #s(literal 2 binary64))
accuracy	0.0703125	(pow.f64 (.f64 (cos.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) (cos.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) #s(literal -1/2 binary64))
accuracy	0.24447250976844204	(.f64 (cos.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) (cos.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
accuracy	29.458736191913815	(cos.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))
accuracy	8.493052839144235	(.f64 (/.f64 #s(literal -1/2 binary64) y) (neg.f64 (.f64 x x)))
accuracy	13.744195942906703	(/.f64 (.f64 (/.f64 #s(literal -1/2 binary64) y) (neg.f64 (.f64 x x))) x)
accuracy	29.31035079051208	(sin.f64 (/.f64 (.f64 (/.f64 #s(literal -1/2 binary64) y) (neg.f64 (.f64 x x))) x))
accuracy	29.367430868950073	(tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))
accuracy	0	(/.f64 x (*.f64 y #s(literal 2 binary64)))
accuracy	0	(*.f64 y #s(literal 2 binary64))
accuracy	0.1171875	(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
accuracy	29.458736191913815	(cos.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))
accuracy	29.47463421373357	#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(literal 1 binary64))

Samples

137.0ms	127×	1	valid
38.0ms	129×	0	valid

Compiler

Compiled 241 to 28 computations (88.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 107.0ms

ival-sin: 24.0ms (22.3% of total)

ival-pow: 23.0ms (21.4% of total)

ival-mult: 21.0ms (19.5% of total)

ival-div: 15.0ms (14% of total)

ival-tan: 13.0ms (12.1% of total)

adjust: 5.0ms (4.7% of total)

ival-cos: 5.0ms (4.7% of total)

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

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

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

exact: 0.0ms (0% of total)

series78.0ms (0.5%)

Memory

0.8MiB live, 46.9MiB allocated

Counts

17 → 384

Calls

Call 1

Inputs
#s(alt #s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(literal 1 binary64)) (patch #s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x (.f64 y #s(literal 2 binary64))))) (patch (/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x (.f64 y #s(literal 2 binary64))))) #<representation binary64>) () ())
#s(alt (cos.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) (patch (cos.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) #<representation binary64>) () ())
#s(alt (/.f64 x (.f64 y #s(literal 2 binary64))) (patch (/.f64 x (.f64 y #s(literal 2 binary64))) #<representation binary64>) () ())
#s(alt (.f64 y #s(literal 2 binary64)) (patch (.f64 y #s(literal 2 binary64)) #<representation binary64>) () ())
#s(alt (/.f64 (.f64 (/.f64 #s(literal -1/2 binary64) y) (neg.f64 (.f64 x x))) x) (patch (/.f64 (.f64 (/.f64 #s(literal -1/2 binary64) y) (neg.f64 (.f64 x x))) x) #<representation binary64>) () ())
#s(alt (.f64 (/.f64 #s(literal -1/2 binary64) y) (neg.f64 (.f64 x x))) (patch (.f64 (/.f64 #s(literal -1/2 binary64) y) (neg.f64 (.f64 x x))) #<representation binary64>) () ())
#s(alt (/.f64 (tan.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 (.f64 (/.f64 #s(literal -1/2 binary64) y) (neg.f64 (.f64 x x))) x))) (patch (/.f64 (tan.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 (.f64 (/.f64 #s(literal -1/2 binary64) y) (neg.f64 (.f64 x x))) x))) #<representation binary64>) () ())
#s(alt (tan.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) (patch (tan.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) #<representation binary64>) () ())
#s(alt (pow.f64 (.f64 (cos.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) (cos.f64 (/.f64 x (.f64 y #s(literal 2 binary64))))) #s(literal -1/2 binary64)) (patch (pow.f64 (.f64 (cos.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) (cos.f64 (/.f64 x (.f64 y #s(literal 2 binary64))))) #s(literal -1/2 binary64)) #<representation binary64>) () ())
#s(alt (.f64 (cos.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) (cos.f64 (/.f64 x (.f64 y #s(literal 2 binary64))))) (patch (.f64 (cos.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) (cos.f64 (/.f64 x (.f64 y #s(literal 2 binary64))))) #<representation binary64>) () ())
#s(alt (.f64 (pow.f64 (.f64 y #s(literal 2 binary64)) #s(literal -1/2 binary64)) (.f64 (pow.f64 (.f64 y #s(literal 2 binary64)) #s(literal -1/2 binary64)) x)) (patch (.f64 (pow.f64 (.f64 y #s(literal 2 binary64)) #s(literal -1/2 binary64)) (.f64 (pow.f64 (.f64 y #s(literal 2 binary64)) #s(literal -1/2 binary64)) x)) #<representation binary64>) () ())
#s(alt (/.f64 (tan.f64 (.f64 (pow.f64 (.f64 y #s(literal 2 binary64)) #s(literal -1/2 binary64)) (.f64 (pow.f64 (.f64 y #s(literal 2 binary64)) #s(literal -1/2 binary64)) x))) (sin.f64 (/.f64 x (.f64 y #s(literal 2 binary64))))) (patch (/.f64 (tan.f64 (.f64 (pow.f64 (.f64 y #s(literal 2 binary64)) #s(literal -1/2 binary64)) (.f64 (pow.f64 (.f64 y #s(literal 2 binary64)) #s(literal -1/2 binary64)) x))) (sin.f64 (/.f64 x (.f64 y #s(literal 2 binary64))))) #<representation binary64>) () ())
#s(alt (tan.f64 (.f64 (pow.f64 (.f64 y #s(literal 2 binary64)) #s(literal -1/2 binary64)) (.f64 (pow.f64 (.f64 y #s(literal 2 binary64)) #s(literal -1/2 binary64)) x))) (patch (tan.f64 (.f64 (pow.f64 (.f64 y #s(literal 2 binary64)) #s(literal -1/2 binary64)) (.f64 (pow.f64 (.f64 y #s(literal 2 binary64)) #s(literal -1/2 binary64)) x))) #<representation binary64>) () ())
#s(alt (pow.f64 (.f64 y #s(literal 2 binary64)) #s(literal -1/2 binary64)) (patch (pow.f64 (.f64 y #s(literal 2 binary64)) #s(literal -1/2 binary64)) #<representation binary64>) () ())
#s(alt (sin.f64 (/.f64 (.f64 (/.f64 #s(literal -1/2 binary64) y) (neg.f64 (.f64 x x))) x)) (patch (sin.f64 (/.f64 (.f64 (/.f64 #s(literal -1/2 binary64) y) (neg.f64 (.f64 x x))) x)) #<representation binary64>) () ())
#s(alt (sin.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) (patch (sin.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) #<representation binary64>) () ())

Outputs
#s(alt 1 (taylor 0 x) (#s(alt #s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(literal 1 binary64)) (patch #s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* 1/8 (/ (pow x 2) (pow y 2)))) (taylor 0 x) (#s(alt #s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(literal 1 binary64)) (patch #s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* (pow x 2) (+ (* 5/384 (/ (pow x 2) (pow y 4))) (* 1/8 (/ 1 (pow y 2)))))) (taylor 0 x) (#s(alt #s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(literal 1 binary64)) (patch #s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* (pow x 2) (+ (* (pow x 2) (+ (* 61/46080 (/ (pow x 2) (pow y 6))) (* 5/384 (/ 1 (pow y 4))))) (* 1/8 (/ 1 (pow y 2)))))) (taylor 0 x) (#s(alt #s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(literal 1 binary64)) (patch #s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (/ 1 (cos (* 1/2 (/ x y)))) (taylor inf x) (#s(alt #s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(literal 1 binary64)) (patch #s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (/ 1 (cos (* 1/2 (/ x y)))) (taylor inf x) (#s(alt #s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(literal 1 binary64)) (patch #s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (/ 1 (cos (* 1/2 (/ x y)))) (taylor inf x) (#s(alt #s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(literal 1 binary64)) (patch #s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (/ 1 (cos (* 1/2 (/ x y)))) (taylor inf x) (#s(alt #s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(literal 1 binary64)) (patch #s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (/ 1 (cos (* 1/2 (/ x y)))) (taylor -inf x) (#s(alt #s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(literal 1 binary64)) (patch #s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (/ 1 (cos (* 1/2 (/ x y)))) (taylor -inf x) (#s(alt #s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(literal 1 binary64)) (patch #s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (/ 1 (cos (* 1/2 (/ x y)))) (taylor -inf x) (#s(alt #s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(literal 1 binary64)) (patch #s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (/ 1 (cos (* 1/2 (/ x y)))) (taylor -inf x) (#s(alt #s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(literal 1 binary64)) (patch #s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (/ 1 (cos (* 1/2 (/ x y)))) (taylor 0 y) (#s(alt #s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(literal 1 binary64)) (patch #s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (/ 1 (cos (* 1/2 (/ x y)))) (taylor 0 y) (#s(alt #s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(literal 1 binary64)) (patch #s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (/ 1 (cos (* 1/2 (/ x y)))) (taylor 0 y) (#s(alt #s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(literal 1 binary64)) (patch #s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (/ 1 (cos (* 1/2 (/ x y)))) (taylor 0 y) (#s(alt #s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(literal 1 binary64)) (patch #s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt 1 (taylor inf y) (#s(alt #s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(literal 1 binary64)) (patch #s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (+ 1 (* 2 (/ (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3))) (* x (pow y 2))))) (* -1/24 (/ (pow x 2) (pow y 2)))) (taylor inf y) (#s(alt #s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(literal 1 binary64)) (patch #s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (+ 1 (+ (* 2 (/ (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3))) (* x (pow y 2)))) (* 2 (/ (- (* 1/3840 (pow x 5)) (+ (* -1/8 (* (pow x 2) (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3))))) (* 1/768 (pow x 5)))) (* x (pow y 4)))))) (+ (* -1/24 (/ (* (pow x 2) (- (* 2 (/ (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3))) x)) (* -1/24 (pow x 2)))) (pow y 4))) (+ (* -1/24 (/ (pow x 2) (pow y 2))) (* 1/1920 (/ (pow x 4) (pow y 4)))))) (taylor inf y) (#s(alt #s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(literal 1 binary64)) (patch #s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (+ 1 (+ (* 2 (/ (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3))) (* x (pow y 2)))) (+ (* 2 (/ (- (* -1/645120 (pow x 7)) (+ (* -1/8 (* (pow x 2) (- (* 1/3840 (pow x 5)) (+ (* -1/8 (* (pow x 2) (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3))))) (* 1/768 (pow x 5)))))) (+ (* -1/92160 (pow x 7)) (* 1/384 (* (pow x 4) (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3)))))))) (* x (pow y 6)))) (* 2 (/ (- (* 1/3840 (pow x 5)) (+ (* -1/8 (* (pow x 2) (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3))))) (* 1/768 (pow x 5)))) (* x (pow y 4))))))) (+ (* -1/24 (/ (* (pow x 2) (- (* 2 (/ (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3))) x)) (* -1/24 (pow x 2)))) (pow y 4))) (+ (* -1/24 (/ (* (pow x 2) (- (* 2 (/ (- (* 1/3840 (pow x 5)) (+ (* -1/8 (* (pow x 2) (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3))))) (* 1/768 (pow x 5)))) x)) (+ (* -1/24 (* (pow x 2) (- (* 2 (/ (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3))) x)) (* -1/24 (pow x 2))))) (* 1/1920 (pow x 4))))) (pow y 6))) (+ (* -1/24 (/ (pow x 2) (pow y 2))) (+ (* -1/322560 (/ (pow x 6) (pow y 6))) (+ (* 1/1920 (/ (* (pow x 4) (- (* 2 (/ (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3))) x)) (* -1/24 (pow x 2)))) (pow y 6))) (* 1/1920 (/ (pow x 4) (pow y 4))))))))) (taylor inf y) (#s(alt #s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(literal 1 binary64)) (patch #s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt 1 (taylor -inf y) (#s(alt #s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(literal 1 binary64)) (patch #s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (+ 1 (* -2 (/ (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3))) (* x (pow y 2))))) (* -1/24 (/ (pow x 2) (pow y 2)))) (taylor -inf y) (#s(alt #s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(literal 1 binary64)) (patch #s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (+ 1 (+ (* -2 (/ (- (* -1/3840 (pow x 5)) (+ (* -1/8 (* (pow x 2) (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3))))) (* -1/768 (pow x 5)))) (* x (pow y 4)))) (* -2 (/ (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3))) (* x (pow y 2)))))) (+ (* -1/24 (/ (* (pow x 2) (- (* -2 (/ (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3))) x)) (* -1/24 (pow x 2)))) (pow y 4))) (+ (* -1/24 (/ (pow x 2) (pow y 2))) (* 1/1920 (/ (pow x 4) (pow y 4)))))) (taylor -inf y) (#s(alt #s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(literal 1 binary64)) (patch #s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (+ 1 (+ (* -2 (/ (- (* -1/3840 (pow x 5)) (+ (* -1/8 (* (pow x 2) (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3))))) (* -1/768 (pow x 5)))) (* x (pow y 4)))) (+ (* -2 (/ (- (* 1/645120 (pow x 7)) (+ (* -1/8 (* (pow x 2) (- (* -1/3840 (pow x 5)) (+ (* -1/8 (* (pow x 2) (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3))))) (* -1/768 (pow x 5)))))) (+ (* 1/92160 (pow x 7)) (* 1/384 (* (pow x 4) (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3)))))))) (* x (pow y 6)))) (* -2 (/ (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3))) (* x (pow y 2))))))) (+ (* -1/24 (/ (* (pow x 2) (- (* -2 (/ (- (* -1/3840 (pow x 5)) (+ (* -1/8 (* (pow x 2) (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3))))) (* -1/768 (pow x 5)))) x)) (+ (* -1/24 (* (pow x 2) (- (* -2 (/ (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3))) x)) (* -1/24 (pow x 2))))) (* 1/1920 (pow x 4))))) (pow y 6))) (+ (* -1/24 (/ (* (pow x 2) (- (* -2 (/ (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3))) x)) (* -1/24 (pow x 2)))) (pow y 4))) (+ (* -1/24 (/ (pow x 2) (pow y 2))) (+ (* -1/322560 (/ (pow x 6) (pow y 6))) (+ (* 1/1920 (/ (* (pow x 4) (- (* -2 (/ (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3))) x)) (* -1/24 (pow x 2)))) (pow y 6))) (* 1/1920 (/ (pow x 4) (pow y 4))))))))) (taylor -inf y) (#s(alt #s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(literal 1 binary64)) (patch #s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt 1 (taylor 0 x) (#s(alt (/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x (.f64 y #s(literal 2 binary64))))) (patch (/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x (.f64 y #s(literal 2 binary64))))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* 1/8 (/ (pow x 2) (pow y 2)))) (taylor 0 x) (#s(alt (/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x (.f64 y #s(literal 2 binary64))))) (patch (/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x (.f64 y #s(literal 2 binary64))))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* (pow x 2) (+ (* 5/384 (/ (pow x 2) (pow y 4))) (* 1/8 (/ 1 (pow y 2)))))) (taylor 0 x) (#s(alt (/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x (.f64 y #s(literal 2 binary64))))) (patch (/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x (.f64 y #s(literal 2 binary64))))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* (pow x 2) (+ (* (pow x 2) (+ (* 61/46080 (/ (pow x 2) (pow y 6))) (* 5/384 (/ 1 (pow y 4))))) (* 1/8 (/ 1 (pow y 2)))))) (taylor 0 x) (#s(alt (/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x (.f64 y #s(literal 2 binary64))))) (patch (/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x (.f64 y #s(literal 2 binary64))))) #<representation binary64>) () ())) ())
#s(alt (/ 1 (cos (* 1/2 (/ x y)))) (taylor inf x) (#s(alt (/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x (.f64 y #s(literal 2 binary64))))) (patch (/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x (.f64 y #s(literal 2 binary64))))) #<representation binary64>) () ())) ())
#s(alt (/ 1 (cos (* 1/2 (/ x y)))) (taylor inf x) (#s(alt (/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x (.f64 y #s(literal 2 binary64))))) (patch (/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x (.f64 y #s(literal 2 binary64))))) #<representation binary64>) () ())) ())
#s(alt (/ 1 (cos (* 1/2 (/ x y)))) (taylor inf x) (#s(alt (/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x (.f64 y #s(literal 2 binary64))))) (patch (/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x (.f64 y #s(literal 2 binary64))))) #<representation binary64>) () ())) ())
#s(alt (/ 1 (cos (* 1/2 (/ x y)))) (taylor inf x) (#s(alt (/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x (.f64 y #s(literal 2 binary64))))) (patch (/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x (.f64 y #s(literal 2 binary64))))) #<representation binary64>) () ())) ())
#s(alt (/ 1 (cos (* 1/2 (/ x y)))) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x (.f64 y #s(literal 2 binary64))))) (patch (/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x (.f64 y #s(literal 2 binary64))))) #<representation binary64>) () ())) ())
#s(alt (/ 1 (cos (* 1/2 (/ x y)))) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x (.f64 y #s(literal 2 binary64))))) (patch (/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x (.f64 y #s(literal 2 binary64))))) #<representation binary64>) () ())) ())
#s(alt (/ 1 (cos (* 1/2 (/ x y)))) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x (.f64 y #s(literal 2 binary64))))) (patch (/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x (.f64 y #s(literal 2 binary64))))) #<representation binary64>) () ())) ())
#s(alt (/ 1 (cos (* 1/2 (/ x y)))) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x (.f64 y #s(literal 2 binary64))))) (patch (/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x (.f64 y #s(literal 2 binary64))))) #<representation binary64>) () ())) ())
#s(alt (/ 1 (cos (* 1/2 (/ x y)))) (taylor 0 y) (#s(alt (/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x (.f64 y #s(literal 2 binary64))))) (patch (/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x (.f64 y #s(literal 2 binary64))))) #<representation binary64>) () ())) ())
#s(alt (/ 1 (cos (* 1/2 (/ x y)))) (taylor 0 y) (#s(alt (/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x (.f64 y #s(literal 2 binary64))))) (patch (/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x (.f64 y #s(literal 2 binary64))))) #<representation binary64>) () ())) ())
#s(alt (/ 1 (cos (* 1/2 (/ x y)))) (taylor 0 y) (#s(alt (/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x (.f64 y #s(literal 2 binary64))))) (patch (/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x (.f64 y #s(literal 2 binary64))))) #<representation binary64>) () ())) ())
#s(alt (/ 1 (cos (* 1/2 (/ x y)))) (taylor 0 y) (#s(alt (/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x (.f64 y #s(literal 2 binary64))))) (patch (/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x (.f64 y #s(literal 2 binary64))))) #<representation binary64>) () ())) ())
#s(alt 1 (taylor inf y) (#s(alt (/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x (.f64 y #s(literal 2 binary64))))) (patch (/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x (.f64 y #s(literal 2 binary64))))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* 1/8 (/ (pow x 2) (pow y 2)))) (taylor inf y) (#s(alt (/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x (.f64 y #s(literal 2 binary64))))) (patch (/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x (.f64 y #s(literal 2 binary64))))) #<representation binary64>) () ())) ())
#s(alt (- (+ 1 (* -1 (/ (+ (* -1/64 (pow x 4)) (* 1/384 (pow x 4))) (pow y 4)))) (* -1/8 (/ (pow x 2) (pow y 2)))) (taylor inf y) (#s(alt (/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x (.f64 y #s(literal 2 binary64))))) (patch (/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x (.f64 y #s(literal 2 binary64))))) #<representation binary64>) () ())) ())
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#s(alt (* 1/2 (/ x y)) (taylor 0 x) (#s(alt (sin.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) (patch (sin.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* x (+ (* -1/48 (/ (pow x 2) (pow y 3))) (* 1/2 (/ 1 y)))) (taylor 0 x) (#s(alt (sin.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) (patch (sin.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* x (+ (* (pow x 2) (- (* 1/3840 (/ (pow x 2) (pow y 5))) (* 1/48 (/ 1 (pow y 3))))) (* 1/2 (/ 1 y)))) (taylor 0 x) (#s(alt (sin.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) (patch (sin.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* x (+ (* (pow x 2) (- (* (pow x 2) (+ (* -1/645120 (/ (pow x 2) (pow y 7))) (* 1/3840 (/ 1 (pow y 5))))) (* 1/48 (/ 1 (pow y 3))))) (* 1/2 (/ 1 y)))) (taylor 0 x) (#s(alt (sin.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) (patch (sin.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (sin (* 1/2 (/ x y))) (taylor inf x) (#s(alt (sin.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) (patch (sin.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (sin (* 1/2 (/ x y))) (taylor inf x) (#s(alt (sin.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) (patch (sin.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (sin (* 1/2 (/ x y))) (taylor inf x) (#s(alt (sin.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) (patch (sin.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (sin (* 1/2 (/ x y))) (taylor inf x) (#s(alt (sin.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) (patch (sin.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (sin (* 1/2 (/ x y))) (taylor -inf x) (#s(alt (sin.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) (patch (sin.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (sin (* 1/2 (/ x y))) (taylor -inf x) (#s(alt (sin.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) (patch (sin.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (sin (* 1/2 (/ x y))) (taylor -inf x) (#s(alt (sin.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) (patch (sin.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (sin (* 1/2 (/ x y))) (taylor -inf x) (#s(alt (sin.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) (patch (sin.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (sin (* 1/2 (/ x y))) (taylor 0 y) (#s(alt (sin.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) (patch (sin.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (sin (* 1/2 (/ x y))) (taylor 0 y) (#s(alt (sin.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) (patch (sin.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (sin (* 1/2 (/ x y))) (taylor 0 y) (#s(alt (sin.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) (patch (sin.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (sin (* 1/2 (/ x y))) (taylor 0 y) (#s(alt (sin.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) (patch (sin.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ x y)) (taylor inf y) (#s(alt (sin.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) (patch (sin.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* -1/48 (/ (pow x 3) (pow y 2))) (* 1/2 x)) y) (taylor inf y) (#s(alt (sin.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) (patch (sin.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* -1/48 (/ (pow x 3) (pow y 2))) (+ (* 1/3840 (/ (pow x 5) (pow y 4))) (* 1/2 x))) y) (taylor inf y) (#s(alt (sin.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) (patch (sin.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* -1/48 (/ (pow x 3) (pow y 2))) (+ (* -1/645120 (/ (pow x 7) (pow y 6))) (+ (* 1/3840 (/ (pow x 5) (pow y 4))) (* 1/2 x)))) y) (taylor inf y) (#s(alt (sin.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) (patch (sin.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ x y)) (taylor -inf y) (#s(alt (sin.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) (patch (sin.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (+ (* -1/2 x) (* 1/48 (/ (pow x 3) (pow y 2)))) y)) (taylor -inf y) (#s(alt (sin.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) (patch (sin.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (+ (* -1/2 x) (+ (* -1/3840 (/ (pow x 5) (pow y 4))) (* 1/48 (/ (pow x 3) (pow y 2))))) y)) (taylor -inf y) (#s(alt (sin.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) (patch (sin.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (+ (* -1/2 x) (+ (* -1/3840 (/ (pow x 5) (pow y 4))) (+ (* 1/645120 (/ (pow x 7) (pow y 6))) (* 1/48 (/ (pow x 3) (pow y 2)))))) y)) (taylor -inf y) (#s(alt (sin.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) (patch (sin.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) #<representation binary64>) () ())) ())

Calls

96 calls:

Time	Variable		Point	Expression
34.0ms	y	@	inf	(/ (tan (* (pow (* y 2) -1/2) (* (pow (* y 2) -1/2) x))) (sin (/ x (* y 2))))
3.0ms	x	@	-inf	(pow (* (cos (/ x (* y 2))) (cos (/ x (* y 2)))) -1/2)
3.0ms	y	@	-inf	(/ (tan (* (pow (* y 2) -1/2) (* (pow (* y 2) -1/2) x))) (sin (/ x (* y 2))))
2.0ms	x	@	0	(/ (tan (* (pow (* y 2) -1/2) (* (pow (* y 2) -1/2) x))) (sin (/ x (* y 2))))
1.0ms	x	@	-inf	(/ (tan (* (pow (* y 2) -1/2) (* (pow (* y 2) -1/2) x))) (sin (/ x (* y 2))))

simplify507.0ms (3.4%)

Memory

-17.7MiB live, 320.3MiB allocated

Algorithm

1×	egg-herbie

Rules

11 916×	`lower-fma.f64`
11 916×	`lower-fma.f32`
6 148×	`lower-*.f64`
6 148×	`lower-*.f32`
4 672×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	740	8161
1	2298	7732
0	8450	7384

Stop Event

1×	iter limit
1×	node limit

Counts

384 → 384

Calls

Call 1

Inputs
1
(+ 1 (* 1/8 (/ (pow x 2) (pow y 2))))
(+ 1 (* (pow x 2) (+ (* 5/384 (/ (pow x 2) (pow y 4))) (* 1/8 (/ 1 (pow y 2))))))
(+ 1 (* (pow x 2) (+ (* (pow x 2) (+ (* 61/46080 (/ (pow x 2) (pow y 6))) (* 5/384 (/ 1 (pow y 4))))) (* 1/8 (/ 1 (pow y 2))))))
(/ 1 (cos (* 1/2 (/ x y))))
(/ 1 (cos (* 1/2 (/ x y))))
(/ 1 (cos (* 1/2 (/ x y))))
(/ 1 (cos (* 1/2 (/ x y))))
(/ 1 (cos (* 1/2 (/ x y))))
(/ 1 (cos (* 1/2 (/ x y))))
(/ 1 (cos (* 1/2 (/ x y))))
(/ 1 (cos (* 1/2 (/ x y))))
(/ 1 (cos (* 1/2 (/ x y))))
(/ 1 (cos (* 1/2 (/ x y))))
(/ 1 (cos (* 1/2 (/ x y))))
(/ 1 (cos (* 1/2 (/ x y))))
1
(- (+ 1 (* 2 (/ (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3))) (* x (pow y 2))))) (* -1/24 (/ (pow x 2) (pow y 2))))
(- (+ 1 (+ (* 2 (/ (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3))) (* x (pow y 2)))) (* 2 (/ (- (* 1/3840 (pow x 5)) (+ (* -1/8 (* (pow x 2) (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3))))) (* 1/768 (pow x 5)))) (* x (pow y 4)))))) (+ (* -1/24 (/ (* (pow x 2) (- (* 2 (/ (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3))) x)) (* -1/24 (pow x 2)))) (pow y 4))) (+ (* -1/24 (/ (pow x 2) (pow y 2))) (* 1/1920 (/ (pow x 4) (pow y 4))))))
(- (+ 1 (+ (* 2 (/ (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3))) (* x (pow y 2)))) (+ (* 2 (/ (- (* -1/645120 (pow x 7)) (+ (* -1/8 (* (pow x 2) (- (* 1/3840 (pow x 5)) (+ (* -1/8 (* (pow x 2) (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3))))) (* 1/768 (pow x 5)))))) (+ (* -1/92160 (pow x 7)) (* 1/384 (* (pow x 4) (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3)))))))) (* x (pow y 6)))) (* 2 (/ (- (* 1/3840 (pow x 5)) (+ (* -1/8 (* (pow x 2) (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3))))) (* 1/768 (pow x 5)))) (* x (pow y 4))))))) (+ (* -1/24 (/ (* (pow x 2) (- (* 2 (/ (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3))) x)) (* -1/24 (pow x 2)))) (pow y 4))) (+ (* -1/24 (/ (* (pow x 2) (- (* 2 (/ (- (* 1/3840 (pow x 5)) (+ (* -1/8 (* (pow x 2) (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3))))) (* 1/768 (pow x 5)))) x)) (+ (* -1/24 (* (pow x 2) (- (* 2 (/ (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3))) x)) (* -1/24 (pow x 2))))) (* 1/1920 (pow x 4))))) (pow y 6))) (+ (* -1/24 (/ (pow x 2) (pow y 2))) (+ (* -1/322560 (/ (pow x 6) (pow y 6))) (+ (* 1/1920 (/ (* (pow x 4) (- (* 2 (/ (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3))) x)) (* -1/24 (pow x 2)))) (pow y 6))) (* 1/1920 (/ (pow x 4) (pow y 4)))))))))
1
(- (+ 1 (* -2 (/ (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3))) (* x (pow y 2))))) (* -1/24 (/ (pow x 2) (pow y 2))))
(- (+ 1 (+ (* -2 (/ (- (* -1/3840 (pow x 5)) (+ (* -1/8 (* (pow x 2) (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3))))) (* -1/768 (pow x 5)))) (* x (pow y 4)))) (* -2 (/ (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3))) (* x (pow y 2)))))) (+ (* -1/24 (/ (* (pow x 2) (- (* -2 (/ (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3))) x)) (* -1/24 (pow x 2)))) (pow y 4))) (+ (* -1/24 (/ (pow x 2) (pow y 2))) (* 1/1920 (/ (pow x 4) (pow y 4))))))
(- (+ 1 (+ (* -2 (/ (- (* -1/3840 (pow x 5)) (+ (* -1/8 (* (pow x 2) (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3))))) (* -1/768 (pow x 5)))) (* x (pow y 4)))) (+ (* -2 (/ (- (* 1/645120 (pow x 7)) (+ (* -1/8 (* (pow x 2) (- (* -1/3840 (pow x 5)) (+ (* -1/8 (* (pow x 2) (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3))))) (* -1/768 (pow x 5)))))) (+ (* 1/92160 (pow x 7)) (* 1/384 (* (pow x 4) (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3)))))))) (* x (pow y 6)))) (* -2 (/ (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3))) (* x (pow y 2))))))) (+ (* -1/24 (/ (* (pow x 2) (- (* -2 (/ (- (* -1/3840 (pow x 5)) (+ (* -1/8 (* (pow x 2) (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3))))) (* -1/768 (pow x 5)))) x)) (+ (* -1/24 (* (pow x 2) (- (* -2 (/ (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3))) x)) (* -1/24 (pow x 2))))) (* 1/1920 (pow x 4))))) (pow y 6))) (+ (* -1/24 (/ (* (pow x 2) (- (* -2 (/ (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3))) x)) (* -1/24 (pow x 2)))) (pow y 4))) (+ (* -1/24 (/ (pow x 2) (pow y 2))) (+ (* -1/322560 (/ (pow x 6) (pow y 6))) (+ (* 1/1920 (/ (* (pow x 4) (- (* -2 (/ (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3))) x)) (* -1/24 (pow x 2)))) (pow y 6))) (* 1/1920 (/ (pow x 4) (pow y 4)))))))))
1
(+ 1 (* 1/8 (/ (pow x 2) (pow y 2))))
(+ 1 (* (pow x 2) (+ (* 5/384 (/ (pow x 2) (pow y 4))) (* 1/8 (/ 1 (pow y 2))))))
(+ 1 (* (pow x 2) (+ (* (pow x 2) (+ (* 61/46080 (/ (pow x 2) (pow y 6))) (* 5/384 (/ 1 (pow y 4))))) (* 1/8 (/ 1 (pow y 2))))))
(/ 1 (cos (* 1/2 (/ x y))))
(/ 1 (cos (* 1/2 (/ x y))))
(/ 1 (cos (* 1/2 (/ x y))))
(/ 1 (cos (* 1/2 (/ x y))))
(/ 1 (cos (* 1/2 (/ x y))))
(/ 1 (cos (* 1/2 (/ x y))))
(/ 1 (cos (* 1/2 (/ x y))))
(/ 1 (cos (* 1/2 (/ x y))))
(/ 1 (cos (* 1/2 (/ x y))))
(/ 1 (cos (* 1/2 (/ x y))))
(/ 1 (cos (* 1/2 (/ x y))))
(/ 1 (cos (* 1/2 (/ x y))))
1
(+ 1 (* 1/8 (/ (pow x 2) (pow y 2))))
(- (+ 1 (* -1 (/ (+ (* -1/64 (pow x 4)) (* 1/384 (pow x 4))) (pow y 4)))) (* -1/8 (/ (pow x 2) (pow y 2))))
(- (+ 1 (* -1 (/ (+ (* -1/46080 (pow x 6)) (+ (* 1/3072 (pow x 6)) (* 1/8 (* (pow x 2) (+ (* -1/64 (pow x 4)) (* 1/384 (pow x 4))))))) (pow y 6)))) (+ (* -1/8 (/ (pow x 2) (pow y 2))) (+ (* -1/64 (/ (pow x 4) (pow y 4))) (* 1/384 (/ (pow x 4) (pow y 4))))))
1
(+ 1 (* 1/8 (/ (pow x 2) (pow y 2))))
(- (+ 1 (* -1 (/ (+ (* -1/64 (pow x 4)) (* 1/384 (pow x 4))) (pow y 4)))) (* -1/8 (/ (pow x 2) (pow y 2))))
(- (+ 1 (* -1 (/ (+ (* -1/46080 (pow x 6)) (+ (* 1/3072 (pow x 6)) (* 1/8 (* (pow x 2) (+ (* -1/64 (pow x 4)) (* 1/384 (pow x 4))))))) (pow y 6)))) (+ (* -1/8 (/ (pow x 2) (pow y 2))) (+ (* -1/64 (/ (pow x 4) (pow y 4))) (* 1/384 (/ (pow x 4) (pow y 4))))))
1
(+ 1 (* -1/8 (/ (pow x 2) (pow y 2))))
(+ 1 (* (pow x 2) (- (* 1/384 (/ (pow x 2) (pow y 4))) (* 1/8 (/ 1 (pow y 2))))))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ (* -1/46080 (/ (pow x 2) (pow y 6))) (* 1/384 (/ 1 (pow y 4))))) (* 1/8 (/ 1 (pow y 2))))))
(cos (* 1/2 (/ x y)))
(cos (* 1/2 (/ x y)))
(cos (* 1/2 (/ x y)))
(cos (* 1/2 (/ x y)))
(cos (* 1/2 (/ x y)))
(cos (* 1/2 (/ x y)))
(cos (* 1/2 (/ x y)))
(cos (* 1/2 (/ x y)))
(cos (* 1/2 (/ x y)))
(cos (* 1/2 (/ x y)))
(cos (* 1/2 (/ x y)))
(cos (* 1/2 (/ x y)))
1
(+ 1 (* -1/8 (/ (pow x 2) (pow y 2))))
(+ 1 (+ (* -1/8 (/ (pow x 2) (pow y 2))) (* 1/384 (/ (pow x 4) (pow y 4)))))
(+ 1 (+ (* -1/8 (/ (pow x 2) (pow y 2))) (+ (* -1/46080 (/ (pow x 6) (pow y 6))) (* 1/384 (/ (pow x 4) (pow y 4))))))
1
(+ 1 (* -1/8 (/ (pow x 2) (pow y 2))))
(+ 1 (+ (* -1/8 (/ (pow x 2) (pow y 2))) (* 1/384 (/ (pow x 4) (pow y 4)))))
(+ 1 (+ (* -1/8 (/ (pow x 2) (pow y 2))) (+ (* -1/46080 (/ (pow x 6) (pow y 6))) (* 1/384 (/ (pow x 4) (pow y 4))))))
(* 1/2 (/ x y))
(* 1/2 (/ x y))
(* 1/2 (/ x y))
(* 1/2 (/ x y))
(* 1/2 (/ x y))
(* 1/2 (/ x y))
(* 1/2 (/ x y))
(* 1/2 (/ x y))
(* 1/2 (/ x y))
(* 1/2 (/ x y))
(* 1/2 (/ x y))
(* 1/2 (/ x y))
(* 1/2 (/ x y))
(* 1/2 (/ x y))
(* 1/2 (/ x y))
(* 1/2 (/ x y))
(* 1/2 (/ x y))
(* 1/2 (/ x y))
(* 1/2 (/ x y))
(* 1/2 (/ x y))
(* 1/2 (/ x y))
(* 1/2 (/ x y))
(* 1/2 (/ x y))
(* 1/2 (/ x y))
(* 2 y)
(* 2 y)
(* 2 y)
(* 2 y)
(* 2 y)
(* 2 y)
(* 2 y)
(* 2 y)
(* 2 y)
(* 2 y)
(* 2 y)
(* 2 y)
(* 1/2 (/ x y))
(* 1/2 (/ x y))
(* 1/2 (/ x y))
(* 1/2 (/ x y))
(* 1/2 (/ x y))
(* 1/2 (/ x y))
(* 1/2 (/ x y))
(* 1/2 (/ x y))
(* 1/2 (/ x y))
(* 1/2 (/ x y))
(* 1/2 (/ x y))
(* 1/2 (/ x y))
(* 1/2 (/ x y))
(* 1/2 (/ x y))
(* 1/2 (/ x y))
(* 1/2 (/ x y))
(* 1/2 (/ x y))
(* 1/2 (/ x y))
(* 1/2 (/ x y))
(* 1/2 (/ x y))
(* 1/2 (/ x y))
(* 1/2 (/ x y))
(* 1/2 (/ x y))
(* 1/2 (/ x y))
(* 1/2 (/ (pow x 2) y))
(* 1/2 (/ (pow x 2) y))
(* 1/2 (/ (pow x 2) y))
(* 1/2 (/ (pow x 2) y))
(* 1/2 (/ (pow x 2) y))
(* 1/2 (/ (pow x 2) y))
(* 1/2 (/ (pow x 2) y))
(* 1/2 (/ (pow x 2) y))
(* 1/2 (/ (pow x 2) y))
(* 1/2 (/ (pow x 2) y))
(* 1/2 (/ (pow x 2) y))
(* 1/2 (/ (pow x 2) y))
(* 1/2 (/ (pow x 2) y))
(* 1/2 (/ (pow x 2) y))
(* 1/2 (/ (pow x 2) y))
(* 1/2 (/ (pow x 2) y))
(* 1/2 (/ (pow x 2) y))
(* 1/2 (/ (pow x 2) y))
(* 1/2 (/ (pow x 2) y))
(* 1/2 (/ (pow x 2) y))
(* 1/2 (/ (pow x 2) y))
(* 1/2 (/ (pow x 2) y))
(* 1/2 (/ (pow x 2) y))
(* 1/2 (/ (pow x 2) y))
1
(+ 1 (* 1/8 (/ (pow x 2) (pow y 2))))
(+ 1 (* (pow x 2) (+ (* 5/384 (/ (pow x 2) (pow y 4))) (* 1/8 (/ 1 (pow y 2))))))
(+ 1 (* (pow x 2) (+ (* (pow x 2) (+ (* 61/46080 (/ (pow x 2) (pow y 6))) (* 5/384 (/ 1 (pow y 4))))) (* 1/8 (/ 1 (pow y 2))))))
(/ 1 (cos (* 1/2 (/ x y))))
(/ 1 (cos (* 1/2 (/ x y))))
(/ 1 (cos (* 1/2 (/ x y))))
(/ 1 (cos (* 1/2 (/ x y))))
(/ 1 (cos (* 1/2 (/ x y))))
(/ 1 (cos (* 1/2 (/ x y))))
(/ 1 (cos (* 1/2 (/ x y))))
(/ 1 (cos (* 1/2 (/ x y))))
(/ 1 (cos (* 1/2 (/ x y))))
(/ 1 (cos (* 1/2 (/ x y))))
(/ 1 (cos (* 1/2 (/ x y))))
(/ 1 (cos (* 1/2 (/ x y))))
1
(- (+ 1 (* 2 (/ (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3))) (* x (pow y 2))))) (* -1/24 (/ (pow x 2) (pow y 2))))
(- (+ 1 (+ (* 2 (/ (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3))) (* x (pow y 2)))) (* 2 (/ (- (* 1/3840 (pow x 5)) (+ (* -1/8 (* (pow x 2) (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3))))) (* 1/768 (pow x 5)))) (* x (pow y 4)))))) (+ (* -1/24 (/ (* (pow x 2) (- (* 2 (/ (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3))) x)) (* -1/24 (pow x 2)))) (pow y 4))) (+ (* -1/24 (/ (pow x 2) (pow y 2))) (* 1/1920 (/ (pow x 4) (pow y 4))))))
(- (+ 1 (+ (* 2 (/ (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3))) (* x (pow y 2)))) (+ (* 2 (/ (- (* -1/645120 (pow x 7)) (+ (* -1/8 (* (pow x 2) (- (* 1/3840 (pow x 5)) (+ (* -1/8 (* (pow x 2) (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3))))) (* 1/768 (pow x 5)))))) (+ (* -1/92160 (pow x 7)) (* 1/384 (* (pow x 4) (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3)))))))) (* x (pow y 6)))) (* 2 (/ (- (* 1/3840 (pow x 5)) (+ (* -1/8 (* (pow x 2) (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3))))) (* 1/768 (pow x 5)))) (* x (pow y 4))))))) (+ (* -1/24 (/ (* (pow x 2) (- (* 2 (/ (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3))) x)) (* -1/24 (pow x 2)))) (pow y 4))) (+ (* -1/24 (/ (* (pow x 2) (- (* 2 (/ (- (* 1/3840 (pow x 5)) (+ (* -1/8 (* (pow x 2) (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3))))) (* 1/768 (pow x 5)))) x)) (+ (* -1/24 (* (pow x 2) (- (* 2 (/ (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3))) x)) (* -1/24 (pow x 2))))) (* 1/1920 (pow x 4))))) (pow y 6))) (+ (* -1/24 (/ (pow x 2) (pow y 2))) (+ (* -1/322560 (/ (pow x 6) (pow y 6))) (+ (* 1/1920 (/ (* (pow x 4) (- (* 2 (/ (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3))) x)) (* -1/24 (pow x 2)))) (pow y 6))) (* 1/1920 (/ (pow x 4) (pow y 4)))))))))
1
(- (+ 1 (* -2 (/ (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3))) (* x (pow y 2))))) (* -1/24 (/ (pow x 2) (pow y 2))))
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1
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(/ 1 (cos (* 1/2 (/ x y))))
1
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1
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1
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(pow (cos (* 1/2 (/ x y))) 2)
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(pow (cos (* 1/2 (/ x y))) 2)
(pow (cos (* 1/2 (/ x y))) 2)
(pow (cos (* 1/2 (/ x y))) 2)
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(pow (cos (* 1/2 (/ x y))) 2)
(pow (cos (* 1/2 (/ x y))) 2)
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1
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1
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(/ (* x (pow (sqrt 1/2) 2)) y)
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(/ (* x (pow (sqrt 1/2) 2)) y)
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(* 2 (pow (sqrt 1/2) 2))
(- (+ (* 2 (/ (- (* -1/6 (* (pow x 3) (pow (sqrt 1/2) 6))) (* -1/2 (* (pow x 3) (pow (sqrt 1/2) 6)))) (* x (pow y 2)))) (* 2 (pow (sqrt 1/2) 2))) (* -1/12 (/ (* (pow x 2) (pow (sqrt 1/2) 2)) (pow y 2))))
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(- (+ (* 2 (/ (- (* -1/6 (* (pow x 3) (pow (sqrt 1/2) 6))) (* -1/2 (* (pow x 3) (pow (sqrt 1/2) 6)))) (* x (pow y 2)))) (+ (* 2 (/ (- (* -1/5040 (* (pow x 7) (pow (sqrt 1/2) 14))) (+ (* -1/2 (* (pow x 2) (* (pow (sqrt 1/2) 4) (- (* 1/120 (* (pow x 5) (pow (sqrt 1/2) 10))) (+ (* -1/2 (* (pow x 2) (* (pow (sqrt 1/2) 4) (- (* -1/6 (* (pow x 3) (pow (sqrt 1/2) 6))) (* -1/2 (* (pow x 3) (pow (sqrt 1/2) 6))))))) (* 1/24 (* (pow x 5) (pow (sqrt 1/2) 10)))))))) (+ (* -1/720 (* (pow x 7) (pow (sqrt 1/2) 14))) (* 1/24 (* (pow x 4) (* (pow (sqrt 1/2) 8) (- (* -1/6 (* (pow x 3) (pow (sqrt 1/2) 6))) (* -1/2 (* (pow x 3) (pow (sqrt 1/2) 6)))))))))) (* x (pow y 6)))) (+ (* 2 (/ (- (* 1/120 (* (pow x 5) (pow (sqrt 1/2) 10))) (+ (* -1/2 (* (pow x 2) (* (pow (sqrt 1/2) 4) (- (* -1/6 (* (pow x 3) (pow (sqrt 1/2) 6))) (* -1/2 (* (pow x 3) (pow (sqrt 1/2) 6))))))) (* 1/24 (* (pow x 5) (pow (sqrt 1/2) 10))))) (* x (pow y 4)))) (* 2 (pow (sqrt 1/2) 2))))) (+ (* -1/12 (/ (* (pow x 2) (pow (sqrt 1/2) 2)) (pow y 2))) (+ (* -1/24 (/ (* (pow x 2) (- (* 2 (/ (- (* -1/6 (* (pow x 3) (pow (sqrt 1/2) 6))) (* -1/2 (* (pow x 3) (pow (sqrt 1/2) 6)))) x)) (* -1/12 (* (pow x 2) (pow (sqrt 1/2) 2))))) (pow y 4))) (+ (* -1/24 (/ (* (pow x 2) (- (* 2 (/ (- (* 1/120 (* (pow x 5) (pow (sqrt 1/2) 10))) (+ (* -1/2 (* (pow x 2) (* (pow (sqrt 1/2) 4) (- (* -1/6 (* (pow x 3) (pow (sqrt 1/2) 6))) (* -1/2 (* (pow x 3) (pow (sqrt 1/2) 6))))))) (* 1/24 (* (pow x 5) (pow (sqrt 1/2) 10))))) x)) (+ (* -1/24 (* (pow x 2) (- (* 2 (/ (- (* -1/6 (* (pow x 3) (pow (sqrt 1/2) 6))) (* -1/2 (* (pow x 3) (pow (sqrt 1/2) 6)))) x)) (* -1/12 (* (pow x 2) (pow (sqrt 1/2) 2)))))) (* 1/960 (* (pow x 4) (pow (sqrt 1/2) 2)))))) (pow y 6))) (+ (* -1/161280 (/ (* (pow x 6) (pow (sqrt 1/2) 2)) (pow y 6))) (+ (* 1/1920 (/ (* (pow x 4) (- (* 2 (/ (- (* -1/6 (* (pow x 3) (pow (sqrt 1/2) 6))) (* -1/2 (* (pow x 3) (pow (sqrt 1/2) 6)))) x)) (* -1/12 (* (pow x 2) (pow (sqrt 1/2) 2))))) (pow y 6))) (* 1/960 (/ (* (pow x 4) (pow (sqrt 1/2) 2)) (pow y 4)))))))))
(* -2 (pow (sqrt -1/2) 2))
(- (+ (* -2 (/ (- (* -1/6 (* (pow x 3) (pow (sqrt -1/2) 6))) (* -1/2 (* (pow x 3) (pow (sqrt -1/2) 6)))) (* x (pow y 2)))) (* -2 (pow (sqrt -1/2) 2))) (* 1/12 (/ (* (pow x 2) (pow (sqrt -1/2) 2)) (pow y 2))))
(- (+ (* -2 (/ (- (* -1/6 (* (pow x 3) (pow (sqrt -1/2) 6))) (* -1/2 (* (pow x 3) (pow (sqrt -1/2) 6)))) (* x (pow y 2)))) (+ (* -2 (/ (- (* 1/120 (* (pow x 5) (pow (sqrt -1/2) 10))) (+ (* -1/2 (* (pow x 2) (* (pow (sqrt -1/2) 4) (- (* -1/6 (* (pow x 3) (pow (sqrt -1/2) 6))) (* -1/2 (* (pow x 3) (pow (sqrt -1/2) 6))))))) (* 1/24 (* (pow x 5) (pow (sqrt -1/2) 10))))) (* x (pow y 4)))) (* -2 (pow (sqrt -1/2) 2)))) (+ (* -1/24 (/ (* (pow x 2) (- (* -2 (/ (- (* -1/6 (* (pow x 3) (pow (sqrt -1/2) 6))) (* -1/2 (* (pow x 3) (pow (sqrt -1/2) 6)))) x)) (* 1/12 (* (pow x 2) (pow (sqrt -1/2) 2))))) (pow y 4))) (+ (* -1/960 (/ (* (pow x 4) (pow (sqrt -1/2) 2)) (pow y 4))) (* 1/12 (/ (* (pow x 2) (pow (sqrt -1/2) 2)) (pow y 2))))))
(- (+ (* -2 (/ (- (* -1/6 (* (pow x 3) (pow (sqrt -1/2) 6))) (* -1/2 (* (pow x 3) (pow (sqrt -1/2) 6)))) (* x (pow y 2)))) (+ (* -2 (/ (- (* -1/5040 (* (pow x 7) (pow (sqrt -1/2) 14))) (+ (* -1/2 (* (pow x 2) (* (pow (sqrt -1/2) 4) (- (* 1/120 (* (pow x 5) (pow (sqrt -1/2) 10))) (+ (* -1/2 (* (pow x 2) (* (pow (sqrt -1/2) 4) (- (* -1/6 (* (pow x 3) (pow (sqrt -1/2) 6))) (* -1/2 (* (pow x 3) (pow (sqrt -1/2) 6))))))) (* 1/24 (* (pow x 5) (pow (sqrt -1/2) 10)))))))) (+ (* -1/720 (* (pow x 7) (pow (sqrt -1/2) 14))) (* 1/24 (* (pow x 4) (* (pow (sqrt -1/2) 8) (- (* -1/6 (* (pow x 3) (pow (sqrt -1/2) 6))) (* -1/2 (* (pow x 3) (pow (sqrt -1/2) 6)))))))))) (* x (pow y 6)))) (+ (* -2 (/ (- (* 1/120 (* (pow x 5) (pow (sqrt -1/2) 10))) (+ (* -1/2 (* (pow x 2) (* (pow (sqrt -1/2) 4) (- (* -1/6 (* (pow x 3) (pow (sqrt -1/2) 6))) (* -1/2 (* (pow x 3) (pow (sqrt -1/2) 6))))))) (* 1/24 (* (pow x 5) (pow (sqrt -1/2) 10))))) (* x (pow y 4)))) (* -2 (pow (sqrt -1/2) 2))))) (+ (* -1/24 (/ (* (pow x 2) (- (* -2 (/ (- (* -1/6 (* (pow x 3) (pow (sqrt -1/2) 6))) (* -1/2 (* (pow x 3) (pow (sqrt -1/2) 6)))) x)) (* 1/12 (* (pow x 2) (pow (sqrt -1/2) 2))))) (pow y 4))) (+ (* -1/24 (/ (* (pow x 2) (- (* -2 (/ (- (* 1/120 (* (pow x 5) (pow (sqrt -1/2) 10))) (+ (* -1/2 (* (pow x 2) (* (pow (sqrt -1/2) 4) (- (* -1/6 (* (pow x 3) (pow (sqrt -1/2) 6))) (* -1/2 (* (pow x 3) (pow (sqrt -1/2) 6))))))) (* 1/24 (* (pow x 5) (pow (sqrt -1/2) 10))))) x)) (+ (* -1/24 (* (pow x 2) (- (* -2 (/ (- (* -1/6 (* (pow x 3) (pow (sqrt -1/2) 6))) (* -1/2 (* (pow x 3) (pow (sqrt -1/2) 6)))) x)) (* 1/12 (* (pow x 2) (pow (sqrt -1/2) 2)))))) (* -1/960 (* (pow x 4) (pow (sqrt -1/2) 2)))))) (pow y 6))) (+ (* -1/960 (/ (* (pow x 4) (pow (sqrt -1/2) 2)) (pow y 4))) (+ (* 1/161280 (/ (* (pow x 6) (pow (sqrt -1/2) 2)) (pow y 6))) (+ (* 1/1920 (/ (* (pow x 4) (- (* -2 (/ (- (* -1/6 (* (pow x 3) (pow (sqrt -1/2) 6))) (* -1/2 (* (pow x 3) (pow (sqrt -1/2) 6)))) x)) (* 1/12 (* (pow x 2) (pow (sqrt -1/2) 2))))) (pow y 6))) (* 1/12 (/ (* (pow x 2) (pow (sqrt -1/2) 2)) (pow y 2)))))))))
(* 2 (pow (sqrt 1/2) 2))
(+ (* 2 (pow (sqrt 1/2) 2)) (* (pow x 2) (- (* 2 (* y (- (* -1/6 (/ (pow (sqrt 1/2) 6) (pow y 3))) (* -1/2 (/ (pow (sqrt 1/2) 6) (pow y 3)))))) (* -1/12 (/ (pow (sqrt 1/2) 2) (pow y 2))))))
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(+ (* 2 (pow (sqrt 1/2) 2)) (* (pow x 2) (- (+ (* 2 (* y (- (* -1/6 (/ (pow (sqrt 1/2) 6) (pow y 3))) (* -1/2 (/ (pow (sqrt 1/2) 6) (pow y 3)))))) (* (pow x 2) (- (+ (* 2 (* y (- (* 1/120 (/ (pow (sqrt 1/2) 10) (pow y 5))) (+ (* -1/2 (/ (* (pow (sqrt 1/2) 4) (- (* -1/6 (/ (pow (sqrt 1/2) 6) (pow y 3))) (* -1/2 (/ (pow (sqrt 1/2) 6) (pow y 3))))) (pow y 2))) (* 1/24 (/ (pow (sqrt 1/2) 10) (pow y 5))))))) (* (pow x 2) (- (* 2 (* y (- (* -1/5040 (/ (pow (sqrt 1/2) 14) (pow y 7))) (+ (* -1/2 (/ (* (pow (sqrt 1/2) 4) (- (* 1/120 (/ (pow (sqrt 1/2) 10) (pow y 5))) (+ (* -1/2 (/ (* (pow (sqrt 1/2) 4) (- (* -1/6 (/ (pow (sqrt 1/2) 6) (pow y 3))) (* -1/2 (/ (pow (sqrt 1/2) 6) (pow y 3))))) (pow y 2))) (* 1/24 (/ (pow (sqrt 1/2) 10) (pow y 5)))))) (pow y 2))) (+ (* -1/720 (/ (pow (sqrt 1/2) 14) (pow y 7))) (* 1/24 (/ (* (pow (sqrt 1/2) 8) (- (* -1/6 (/ (pow (sqrt 1/2) 6) (pow y 3))) (* -1/2 (/ (pow (sqrt 1/2) 6) (pow y 3))))) (pow y 4)))))))) (+ (* -1/24 (/ (- (* 2 (* y (- (* 1/120 (/ (pow (sqrt 1/2) 10) (pow y 5))) (+ (* -1/2 (/ (* (pow (sqrt 1/2) 4) (- (* -1/6 (/ (pow (sqrt 1/2) 6) (pow y 3))) (* -1/2 (/ (pow (sqrt 1/2) 6) (pow y 3))))) (pow y 2))) (* 1/24 (/ (pow (sqrt 1/2) 10) (pow y 5))))))) (+ (* -1/24 (/ (- (* 2 (* y (- (* -1/6 (/ (pow (sqrt 1/2) 6) (pow y 3))) (* -1/2 (/ (pow (sqrt 1/2) 6) (pow y 3)))))) (* -1/12 (/ (pow (sqrt 1/2) 2) (pow y 2)))) (pow y 2))) (* 1/960 (/ (pow (sqrt 1/2) 2) (pow y 4))))) (pow y 2))) (+ (* -1/161280 (/ (pow (sqrt 1/2) 2) (pow y 6))) (* 1/1920 (/ (- (* 2 (* y (- (* -1/6 (/ (pow (sqrt 1/2) 6) (pow y 3))) (* -1/2 (/ (pow (sqrt 1/2) 6) (pow y 3)))))) (* -1/12 (/ (pow (sqrt 1/2) 2) (pow y 2)))) (pow y 4)))))))) (+ (* -1/24 (/ (- (* 2 (* y (- (* -1/6 (/ (pow (sqrt 1/2) 6) (pow y 3))) (* -1/2 (/ (pow (sqrt 1/2) 6) (pow y 3)))))) (* -1/12 (/ (pow (sqrt 1/2) 2) (pow y 2)))) (pow y 2))) (* 1/960 (/ (pow (sqrt 1/2) 2) (pow y 4))))))) (* -1/12 (/ (pow (sqrt 1/2) 2) (pow y 2))))))
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(/ (sin (/ (* x (pow (sqrt 1/2) 2)) y)) (cos (/ (* x (pow (sqrt 1/2) 2)) y)))
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(/ (* x (pow (sqrt 1/2) 2)) y)
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(* -1 (/ (- (+ (* -1/6 (/ (* (pow x 3) (pow (sqrt -1/2) 6)) (pow y 2))) (+ (* 1/120 (/ (* (pow x 5) (pow (sqrt -1/2) 10)) (pow y 4))) (* x (pow (sqrt -1/2) 2)))) (+ (* -1/2 (/ (* (pow x 2) (* (pow (sqrt -1/2) 4) (- (* -1/6 (* (pow x 3) (pow (sqrt -1/2) 6))) (* -1/2 (* (pow x 3) (pow (sqrt -1/2) 6)))))) (pow y 4))) (+ (* -1/2 (/ (* (pow x 3) (pow (sqrt -1/2) 6)) (pow y 2))) (* 1/24 (/ (* (pow x 5) (pow (sqrt -1/2) 10)) (pow y 4)))))) y))
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(/ (* x (pow (sqrt 1/2) 2)) y)
(* x (+ (* (pow x 2) (- (* -1/6 (/ (pow (sqrt 1/2) 6) (pow y 3))) (* -1/2 (/ (pow (sqrt 1/2) 6) (pow y 3))))) (/ (pow (sqrt 1/2) 2) y)))
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(* (sqrt (/ 1 y)) (sqrt 1/2))
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(/ (+ (* -1/48 (/ (pow x 3) (pow y 2))) (+ (* -1/645120 (/ (pow x 7) (pow y 6))) (+ (* 1/3840 (/ (pow x 5) (pow y 4))) (* 1/2 x)))) y)
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(/ (+ (* -1/48 (/ (pow x 3) (pow y 2))) (+ (* -1/645120 (/ (pow x 7) (pow y 6))) (+ (* 1/3840 (/ (pow x 5) (pow y 4))) (* 1/2 x)))) y)
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Outputs
1
#s(literal 1 binary64)
(+ 1 (* 1/8 (/ (pow x 2) (pow y 2))))
(fma.f64 (.f64 x x) (/.f64 #s(literal 1/8 binary64) (.f64 y y)) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (+ (* 5/384 (/ (pow x 2) (pow y 4))) (* 1/8 (/ 1 (pow y 2))))))
(fma.f64 (.f64 x x) (fma.f64 (.f64 (/.f64 #s(literal 5/384 binary64) (pow.f64 y #s(literal 4 binary64))) x) x (/.f64 #s(literal 1/8 binary64) (*.f64 y y))) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (+ (* (pow x 2) (+ (* 61/46080 (/ (pow x 2) (pow y 6))) (* 5/384 (/ 1 (pow y 4))))) (* 1/8 (/ 1 (pow y 2))))))
(fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 #s(literal 61/46080 binary64) (/.f64 (.f64 x x) (pow.f64 y #s(literal 6 binary64))) (/.f64 #s(literal 5/384 binary64) (pow.f64 y #s(literal 4 binary64)))) (/.f64 #s(literal 1/8 binary64) (.f64 y y))) #s(literal 1 binary64))
(/ 1 (cos (* 1/2 (/ x y))))
(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y)))
(/ 1 (cos (* 1/2 (/ x y))))
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(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y)))
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(/ 1 (cos (* 1/2 (/ x y))))
(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y)))
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(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y)))
1
#s(literal 1 binary64)
(- (+ 1 (* 2 (/ (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3))) (* x (pow y 2))))) (* -1/24 (/ (pow x 2) (pow y 2))))
(+.f64 (fma.f64 #s(literal 2 binary64) (/.f64 (.f64 x (.f64 (.f64 x x) #s(literal 1/24 binary64))) (.f64 x (.f64 y y))) #s(literal 1 binary64)) (/.f64 (.f64 (.f64 x x) #s(literal 1/24 binary64)) (.f64 y y)))
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(/ (sin (/ (* x (pow (sqrt 1/2) 2)) y)) (cos (/ (* x (pow (sqrt 1/2) 2)) y)))
(/.f64 (sin.f64 (/.f64 (.f64 x #s(literal 1/2 binary64)) y)) (cos.f64 (/.f64 (.f64 x #s(literal 1/2 binary64)) y)))
(/ (sin (/ (* x (pow (sqrt 1/2) 2)) y)) (cos (/ (* x (pow (sqrt 1/2) 2)) y)))
(/.f64 (sin.f64 (/.f64 (.f64 x #s(literal 1/2 binary64)) y)) (cos.f64 (/.f64 (.f64 x #s(literal 1/2 binary64)) y)))
(/ (sin (/ (* x (pow (sqrt 1/2) 2)) y)) (cos (/ (* x (pow (sqrt 1/2) 2)) y)))
(/.f64 (sin.f64 (/.f64 (.f64 x #s(literal 1/2 binary64)) y)) (cos.f64 (/.f64 (.f64 x #s(literal 1/2 binary64)) y)))
(/ (sin (/ (* x (pow (sqrt 1/2) 2)) y)) (cos (/ (* x (pow (sqrt 1/2) 2)) y)))
(/.f64 (sin.f64 (/.f64 (.f64 x #s(literal 1/2 binary64)) y)) (cos.f64 (/.f64 (.f64 x #s(literal 1/2 binary64)) y)))
(/ (sin (/ (* x (pow (sqrt 1/2) 2)) y)) (cos (/ (* x (pow (sqrt 1/2) 2)) y)))
(/.f64 (sin.f64 (/.f64 (.f64 x #s(literal 1/2 binary64)) y)) (cos.f64 (/.f64 (.f64 x #s(literal 1/2 binary64)) y)))
(/ (sin (/ (* x (pow (sqrt 1/2) 2)) y)) (cos (/ (* x (pow (sqrt 1/2) 2)) y)))
(/.f64 (sin.f64 (/.f64 (.f64 x #s(literal 1/2 binary64)) y)) (cos.f64 (/.f64 (.f64 x #s(literal 1/2 binary64)) y)))
(/ (sin (/ (* x (pow (sqrt 1/2) 2)) y)) (cos (/ (* x (pow (sqrt 1/2) 2)) y)))
(/.f64 (sin.f64 (/.f64 (.f64 x #s(literal 1/2 binary64)) y)) (cos.f64 (/.f64 (.f64 x #s(literal 1/2 binary64)) y)))
(* (sqrt (/ 1 y)) (sqrt 1/2))
(*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))
(* (sqrt (/ 1 y)) (sqrt 1/2))
(*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))
(* (sqrt (/ 1 y)) (sqrt 1/2))
(*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))
(* (sqrt (/ 1 y)) (sqrt 1/2))
(*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))
(* (sqrt (/ 1 y)) (sqrt 1/2))
(*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))
(* (sqrt (/ 1 y)) (sqrt 1/2))
(*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))
(* (sqrt (/ 1 y)) (sqrt 1/2))
(*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))
(* (sqrt (/ 1 y)) (sqrt 1/2))
(*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))
(* (sqrt (/ 1 y)) (* (sqrt -1) (sqrt -1/2)))
(.f64 (sqrt.f64 #s(literal -1 binary64)) (.f64 (sqrt.f64 #s(literal -1/2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) y))))
(* (sqrt (/ 1 y)) (* (sqrt -1) (sqrt -1/2)))
(.f64 (sqrt.f64 #s(literal -1 binary64)) (.f64 (sqrt.f64 #s(literal -1/2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) y))))
(* (sqrt (/ 1 y)) (* (sqrt -1) (sqrt -1/2)))
(.f64 (sqrt.f64 #s(literal -1 binary64)) (.f64 (sqrt.f64 #s(literal -1/2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) y))))
(* (sqrt (/ 1 y)) (* (sqrt -1) (sqrt -1/2)))
(.f64 (sqrt.f64 #s(literal -1 binary64)) (.f64 (sqrt.f64 #s(literal -1/2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) y))))
(sin (* 1/2 (/ x y)))
(sin.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y))
(sin (* 1/2 (/ x y)))
(sin.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y))
(sin (* 1/2 (/ x y)))
(sin.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y))
(sin (* 1/2 (/ x y)))
(sin.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y))
(* 1/2 (/ x y))
(/.f64 (*.f64 x #s(literal 1/2 binary64)) y)
(/ (+ (* -1/48 (/ (pow x 3) (pow y 2))) (* 1/2 x)) y)
(/.f64 (fma.f64 #s(literal -1/48 binary64) (/.f64 (.f64 x (.f64 x x)) (.f64 y y)) (.f64 x #s(literal 1/2 binary64))) y)
(/ (+ (* -1/48 (/ (pow x 3) (pow y 2))) (+ (* 1/3840 (/ (pow x 5) (pow y 4))) (* 1/2 x))) y)
(/.f64 (fma.f64 #s(literal -1/48 binary64) (/.f64 (.f64 x (.f64 x x)) (.f64 y y)) (fma.f64 #s(literal 1/3840 binary64) (/.f64 (pow.f64 x #s(literal 5 binary64)) (pow.f64 y #s(literal 4 binary64))) (.f64 x #s(literal 1/2 binary64)))) y)
(/ (+ (* -1/48 (/ (pow x 3) (pow y 2))) (+ (* -1/645120 (/ (pow x 7) (pow y 6))) (+ (* 1/3840 (/ (pow x 5) (pow y 4))) (* 1/2 x)))) y)
(/.f64 (fma.f64 #s(literal -1/48 binary64) (/.f64 (.f64 x (.f64 x x)) (.f64 y y)) (fma.f64 x #s(literal 1/2 binary64) (fma.f64 (pow.f64 x #s(literal 5 binary64)) (/.f64 #s(literal 1/3840 binary64) (pow.f64 y #s(literal 4 binary64))) (/.f64 (.f64 #s(literal -1/645120 binary64) (pow.f64 x #s(literal 7 binary64))) (pow.f64 y #s(literal 6 binary64)))))) y)
(* 1/2 (/ x y))
(/.f64 (*.f64 x #s(literal 1/2 binary64)) y)
(* -1 (/ (+ (* -1/2 x) (* 1/48 (/ (pow x 3) (pow y 2)))) y))
(neg.f64 (/.f64 (fma.f64 x #s(literal -1/2 binary64) (/.f64 (.f64 (.f64 x (.f64 x x)) #s(literal 1/48 binary64)) (.f64 y y))) y))
(* -1 (/ (+ (* -1/2 x) (+ (* -1/3840 (/ (pow x 5) (pow y 4))) (* 1/48 (/ (pow x 3) (pow y 2))))) y))
(/.f64 (fma.f64 x #s(literal -1/2 binary64) (fma.f64 (.f64 x (.f64 x x)) (/.f64 #s(literal 1/48 binary64) (.f64 y y)) (/.f64 (.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal -1/3840 binary64)) (pow.f64 y #s(literal 4 binary64))))) (neg.f64 y))
(* -1 (/ (+ (* -1/2 x) (+ (* -1/3840 (/ (pow x 5) (pow y 4))) (+ (* 1/645120 (/ (pow x 7) (pow y 6))) (* 1/48 (/ (pow x 3) (pow y 2)))))) y))
(/.f64 (fma.f64 x #s(literal -1/2 binary64) (fma.f64 (pow.f64 x #s(literal 5 binary64)) (/.f64 #s(literal -1/3840 binary64) (pow.f64 y #s(literal 4 binary64))) (fma.f64 (.f64 x (.f64 x x)) (/.f64 #s(literal 1/48 binary64) (.f64 y y)) (/.f64 (.f64 (pow.f64 x #s(literal 7 binary64)) #s(literal 1/645120 binary64)) (pow.f64 y #s(literal 6 binary64)))))) (neg.f64 y))
(* 1/2 (/ x y))
(/.f64 (*.f64 x #s(literal 1/2 binary64)) y)
(* x (+ (* -1/48 (/ (pow x 2) (pow y 3))) (* 1/2 (/ 1 y))))
(.f64 x (fma.f64 #s(literal -1/48 binary64) (/.f64 (.f64 x x) (.f64 y (.f64 y y))) (/.f64 #s(literal 1/2 binary64) y)))
(* x (+ (* (pow x 2) (- (* 1/3840 (/ (pow x 2) (pow y 5))) (* 1/48 (/ 1 (pow y 3))))) (* 1/2 (/ 1 y))))
(.f64 x (fma.f64 (.f64 x x) (fma.f64 x (.f64 x (/.f64 #s(literal 1/3840 binary64) (pow.f64 y #s(literal 5 binary64)))) (/.f64 #s(literal -1/48 binary64) (.f64 y (*.f64 y y)))) (/.f64 #s(literal 1/2 binary64) y)))
(* x (+ (* (pow x 2) (- (* (pow x 2) (+ (* -1/645120 (/ (pow x 2) (pow y 7))) (* 1/3840 (/ 1 (pow y 5))))) (* 1/48 (/ 1 (pow y 3))))) (* 1/2 (/ 1 y))))
(.f64 x (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 #s(literal -1/645120 binary64) (/.f64 (.f64 x x) (pow.f64 y #s(literal 7 binary64))) (/.f64 #s(literal 1/3840 binary64) (pow.f64 y #s(literal 5 binary64)))) (/.f64 #s(literal -1/48 binary64) (.f64 y (.f64 y y)))) (/.f64 #s(literal 1/2 binary64) y)))
(sin (* 1/2 (/ x y)))
(sin.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y))
(sin (* 1/2 (/ x y)))
(sin.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y))
(sin (* 1/2 (/ x y)))
(sin.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y))
(sin (* 1/2 (/ x y)))
(sin.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y))
(sin (* 1/2 (/ x y)))
(sin.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y))
(sin (* 1/2 (/ x y)))
(sin.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y))
(sin (* 1/2 (/ x y)))
(sin.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y))
(sin (* 1/2 (/ x y)))
(sin.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y))
(* 1/2 (/ x y))
(/.f64 (*.f64 x #s(literal 1/2 binary64)) y)
(* x (+ (* -1/48 (/ (pow x 2) (pow y 3))) (* 1/2 (/ 1 y))))
(.f64 x (fma.f64 #s(literal -1/48 binary64) (/.f64 (.f64 x x) (.f64 y (.f64 y y))) (/.f64 #s(literal 1/2 binary64) y)))
(* x (+ (* (pow x 2) (- (* 1/3840 (/ (pow x 2) (pow y 5))) (* 1/48 (/ 1 (pow y 3))))) (* 1/2 (/ 1 y))))
(.f64 x (fma.f64 (.f64 x x) (fma.f64 x (.f64 x (/.f64 #s(literal 1/3840 binary64) (pow.f64 y #s(literal 5 binary64)))) (/.f64 #s(literal -1/48 binary64) (.f64 y (*.f64 y y)))) (/.f64 #s(literal 1/2 binary64) y)))
(* x (+ (* (pow x 2) (- (* (pow x 2) (+ (* -1/645120 (/ (pow x 2) (pow y 7))) (* 1/3840 (/ 1 (pow y 5))))) (* 1/48 (/ 1 (pow y 3))))) (* 1/2 (/ 1 y))))
(.f64 x (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 #s(literal -1/645120 binary64) (/.f64 (.f64 x x) (pow.f64 y #s(literal 7 binary64))) (/.f64 #s(literal 1/3840 binary64) (pow.f64 y #s(literal 5 binary64)))) (/.f64 #s(literal -1/48 binary64) (.f64 y (.f64 y y)))) (/.f64 #s(literal 1/2 binary64) y)))
(sin (* 1/2 (/ x y)))
(sin.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y))
(sin (* 1/2 (/ x y)))
(sin.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y))
(sin (* 1/2 (/ x y)))
(sin.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y))
(sin (* 1/2 (/ x y)))
(sin.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y))
(sin (* 1/2 (/ x y)))
(sin.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y))
(sin (* 1/2 (/ x y)))
(sin.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y))
(sin (* 1/2 (/ x y)))
(sin.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y))
(sin (* 1/2 (/ x y)))
(sin.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y))
(sin (* 1/2 (/ x y)))
(sin.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y))
(sin (* 1/2 (/ x y)))
(sin.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y))
(sin (* 1/2 (/ x y)))
(sin.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y))
(sin (* 1/2 (/ x y)))
(sin.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y))
(* 1/2 (/ x y))
(/.f64 (*.f64 x #s(literal 1/2 binary64)) y)
(/ (+ (* -1/48 (/ (pow x 3) (pow y 2))) (* 1/2 x)) y)
(/.f64 (fma.f64 #s(literal -1/48 binary64) (/.f64 (.f64 x (.f64 x x)) (.f64 y y)) (.f64 x #s(literal 1/2 binary64))) y)
(/ (+ (* -1/48 (/ (pow x 3) (pow y 2))) (+ (* 1/3840 (/ (pow x 5) (pow y 4))) (* 1/2 x))) y)
(/.f64 (fma.f64 #s(literal -1/48 binary64) (/.f64 (.f64 x (.f64 x x)) (.f64 y y)) (fma.f64 #s(literal 1/3840 binary64) (/.f64 (pow.f64 x #s(literal 5 binary64)) (pow.f64 y #s(literal 4 binary64))) (.f64 x #s(literal 1/2 binary64)))) y)
(/ (+ (* -1/48 (/ (pow x 3) (pow y 2))) (+ (* -1/645120 (/ (pow x 7) (pow y 6))) (+ (* 1/3840 (/ (pow x 5) (pow y 4))) (* 1/2 x)))) y)
(/.f64 (fma.f64 #s(literal -1/48 binary64) (/.f64 (.f64 x (.f64 x x)) (.f64 y y)) (fma.f64 x #s(literal 1/2 binary64) (fma.f64 (pow.f64 x #s(literal 5 binary64)) (/.f64 #s(literal 1/3840 binary64) (pow.f64 y #s(literal 4 binary64))) (/.f64 (.f64 #s(literal -1/645120 binary64) (pow.f64 x #s(literal 7 binary64))) (pow.f64 y #s(literal 6 binary64)))))) y)
(* 1/2 (/ x y))
(/.f64 (*.f64 x #s(literal 1/2 binary64)) y)
(* -1 (/ (+ (* -1/2 x) (* 1/48 (/ (pow x 3) (pow y 2)))) y))
(neg.f64 (/.f64 (fma.f64 x #s(literal -1/2 binary64) (/.f64 (.f64 (.f64 x (.f64 x x)) #s(literal 1/48 binary64)) (.f64 y y))) y))
(* -1 (/ (+ (* -1/2 x) (+ (* -1/3840 (/ (pow x 5) (pow y 4))) (* 1/48 (/ (pow x 3) (pow y 2))))) y))
(/.f64 (fma.f64 x #s(literal -1/2 binary64) (fma.f64 (.f64 x (.f64 x x)) (/.f64 #s(literal 1/48 binary64) (.f64 y y)) (/.f64 (.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal -1/3840 binary64)) (pow.f64 y #s(literal 4 binary64))))) (neg.f64 y))
(* -1 (/ (+ (* -1/2 x) (+ (* -1/3840 (/ (pow x 5) (pow y 4))) (+ (* 1/645120 (/ (pow x 7) (pow y 6))) (* 1/48 (/ (pow x 3) (pow y 2)))))) y))
(/.f64 (fma.f64 x #s(literal -1/2 binary64) (fma.f64 (pow.f64 x #s(literal 5 binary64)) (/.f64 #s(literal -1/3840 binary64) (pow.f64 y #s(literal 4 binary64))) (fma.f64 (.f64 x (.f64 x x)) (/.f64 #s(literal 1/48 binary64) (.f64 y y)) (/.f64 (.f64 (pow.f64 x #s(literal 7 binary64)) #s(literal 1/645120 binary64)) (pow.f64 y #s(literal 6 binary64)))))) (neg.f64 y))

rewrite257.0ms (1.7%)

Memory

15.8MiB live, 402.8MiB allocated

Rules

4 014×	`lower-fma.f64`
4 014×	`lower-fma.f32`
3 440×	`lower-*.f32`
3 428×	`lower-*.f64`
2 364×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	31	177
0	52	146
1	152	143
2	839	110
3	7315	110
0	8476	109

Stop Event

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

Counts

17 → 1 066

Calls

Call 1

Inputs
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
(cos.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))
(/.f64 x (*.f64 y #s(literal 2 binary64)))
(*.f64 y #s(literal 2 binary64))
(/.f64 (.f64 (/.f64 #s(literal -1/2 binary64) y) (neg.f64 (.f64 x x))) x)
(.f64 (/.f64 #s(literal -1/2 binary64) y) (neg.f64 (.f64 x x)))
(/.f64 (tan.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 (.f64 (/.f64 #s(literal -1/2 binary64) y) (neg.f64 (*.f64 x x))) x)))
(tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))
(pow.f64 (.f64 (cos.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) (cos.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) #s(literal -1/2 binary64))
(.f64 (cos.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) (cos.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
(.f64 (pow.f64 (.f64 y #s(literal 2 binary64)) #s(literal -1/2 binary64)) (.f64 (pow.f64 (.f64 y #s(literal 2 binary64)) #s(literal -1/2 binary64)) x))
(/.f64 (tan.f64 (.f64 (pow.f64 (.f64 y #s(literal 2 binary64)) #s(literal -1/2 binary64)) (.f64 (pow.f64 (.f64 y #s(literal 2 binary64)) #s(literal -1/2 binary64)) x))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
(tan.f64 (.f64 (pow.f64 (.f64 y #s(literal 2 binary64)) #s(literal -1/2 binary64)) (.f64 (pow.f64 (.f64 y #s(literal 2 binary64)) #s(literal -1/2 binary64)) x)))
(pow.f64 (*.f64 y #s(literal 2 binary64)) #s(literal -1/2 binary64))
(sin.f64 (/.f64 (.f64 (/.f64 #s(literal -1/2 binary64) y) (neg.f64 (.f64 x x))) x))
(sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))

Outputs
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(literal 1 binary64))
(exp.f64 (.f64 #s(literal -1 binary64) (log.f64 (cos.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))))))
(exp.f64 (.f64 (log.f64 (pow.f64 (cos.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) #s(literal -1/2 binary64))) #s(literal 2 binary64)))
(exp.f64 (.f64 (log.f64 (pow.f64 (cos.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) #s(literal 4 binary64))) #s(literal -1/4 binary64)))
(exp.f64 (.f64 (.f64 #s(literal -1/2 binary64) (log.f64 (cos.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))) #s(literal 2 binary64)))
(exp.f64 (.f64 (.f64 (log.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (/.f64 x y)) #s(literal 1/2 binary64))) #s(literal -1/4 binary64)) #s(literal 2 binary64)))
(exp.f64 (fma.f64 #s(literal -1/2 binary64) (log.f64 (cos.f64 (/.f64 x (.f64 y #s(literal 2 binary64))))) (.f64 (log.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (/.f64 x y)) #s(literal 1/2 binary64))) #s(literal -1/4 binary64))))
(exp.f64 (fma.f64 (log.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (/.f64 x y)) #s(literal 1/2 binary64))) #s(literal -1/4 binary64) (.f64 #s(literal -1/2 binary64) (log.f64 (cos.f64 (/.f64 x (.f64 y #s(literal 2 binary64))))))))
(exp.f64 (fma.f64 (log.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (/.f64 x y)) #s(literal 1/2 binary64))) #s(literal -1/4 binary64) (*.f64 (log.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (/.f64 x y)) #s(literal 1/2 binary64))) #s(literal -1/4 binary64))))
(-.f64 #s(literal 0 binary64) (/.f64 #s(literal -1 binary64) (cos.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))))
(-.f64 (/.f64 #s(literal 0 binary64) (sin.f64 (/.f64 x (.f64 y #s(literal -2 binary64))))) (/.f64 #s(literal -1 binary64) (cos.f64 (/.f64 x (.f64 y #s(literal 2 binary64))))))
(neg.f64 (/.f64 #s(literal -1 binary64) (cos.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))))
(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
(/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) #s(literal 1 binary64))
(/.f64 (tan.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))))
(/.f64 (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (/.f64 (sin.f64 (/.f64 x y)) #s(literal 2 binary64)))
(/.f64 (sin.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) (.f64 (neg.f64 (cos.f64 (/.f64 x (.f64 y #s(literal 2 binary64))))) (sin.f64 (/.f64 x (.f64 y #s(literal -2 binary64))))))
(/.f64 (sin.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) (.f64 (sin.f64 (/.f64 x (.f64 y #s(literal -2 binary64)))) (neg.f64 (cos.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (cos.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))))
(/.f64 #s(literal -1 binary64) (.f64 (/.f64 #s(literal 1 binary64) (tan.f64 (/.f64 x (.f64 y #s(literal 2 binary64))))) (sin.f64 (/.f64 x (*.f64 y #s(literal -2 binary64))))))
(/.f64 (sin.f64 (/.f64 x (.f64 y #s(literal -2 binary64)))) (.f64 (sin.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) (neg.f64 (cos.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))))))
(/.f64 (sin.f64 (/.f64 x (.f64 y #s(literal -2 binary64)))) (.f64 (cos.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (.f64 y #s(literal -2 binary64))))))
(/.f64 (sin.f64 (/.f64 x (.f64 y #s(literal -2 binary64)))) (.f64 (sin.f64 (/.f64 x (.f64 y #s(literal -2 binary64)))) (cos.f64 (/.f64 x (.f64 y #s(literal 2 binary64))))))
(/.f64 (sin.f64 (/.f64 x (*.f64 y #s(literal -2 binary64)))) (neg.f64 (/.f64 (sin.f64 (/.f64 x y)) #s(literal 2 binary64))))
(/.f64 (tan.f64 (/.f64 x (.f64 y #s(literal -2 binary64)))) (sin.f64 (/.f64 x (.f64 y #s(literal -2 binary64)))))
(/.f64 (/.f64 #s(literal 1 binary64) (sin.f64 (/.f64 x (.f64 y #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) (tan.f64 (/.f64 x (.f64 y #s(literal 2 binary64))))))
(/.f64 (.f64 (sin.f64 (/.f64 x (.f64 y #s(literal -2 binary64)))) #s(literal 1 binary64)) (.f64 (cos.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (*.f64 y #s(literal -2 binary64))))))
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(.f64 (.f64 (sin.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) (pow.f64 (cos.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) #s(literal -1/2 binary64))) (pow.f64 (cos.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) #s(literal -1/2 binary64)))
(exp.f64 (.f64 #s(literal -1/2 binary64) (log.f64 (.f64 y #s(literal 2 binary64)))))
(exp.f64 (.f64 (log.f64 (pow.f64 (.f64 y #s(literal 2 binary64)) #s(literal -1/4 binary64))) #s(literal 2 binary64)))
(exp.f64 (.f64 (log.f64 (.f64 y (*.f64 y #s(literal 4 binary64)))) #s(literal -1/4 binary64)))
(exp.f64 (.f64 (.f64 (log.f64 (*.f64 y #s(literal 2 binary64))) #s(literal -1/4 binary64)) #s(literal 2 binary64)))
(exp.f64 (fma.f64 (log.f64 (.f64 y #s(literal 2 binary64))) #s(literal -1/4 binary64) (.f64 (log.f64 (*.f64 y #s(literal 2 binary64))) #s(literal -1/4 binary64))))
(pow.f64 (*.f64 y #s(literal 2 binary64)) #s(literal -1/2 binary64))
(pow.f64 (pow.f64 (*.f64 y #s(literal 2 binary64)) #s(literal -1/4 binary64)) #s(literal 2 binary64))
(pow.f64 (.f64 y (.f64 y #s(literal 4 binary64))) #s(literal -1/4 binary64))
(pow.f64 (exp.f64 #s(literal -1/2 binary64)) (log.f64 (*.f64 y #s(literal 2 binary64))))
(*.f64 (pow.f64 y #s(literal -1/2 binary64)) (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)))
(*.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)) (pow.f64 y #s(literal -1/2 binary64)))
(.f64 (pow.f64 (.f64 y #s(literal 2 binary64)) #s(literal -1/4 binary64)) (pow.f64 (*.f64 y #s(literal 2 binary64)) #s(literal -1/4 binary64)))
(.f64 (pow.f64 y #s(literal -1/4 binary64)) (.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/4 binary64)) (pow.f64 (*.f64 y #s(literal 2 binary64)) #s(literal -1/4 binary64))))
(.f64 (pow.f64 y #s(literal -1/4 binary64)) (.f64 (pow.f64 y #s(literal -1/4 binary64)) (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64))))
(.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/4 binary64)) (.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/4 binary64)) (pow.f64 y #s(literal -1/2 binary64))))
(.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/4 binary64)) (.f64 (pow.f64 y #s(literal -1/4 binary64)) (pow.f64 (*.f64 y #s(literal 2 binary64)) #s(literal -1/4 binary64))))
(.f64 (pow.f64 (.f64 y #s(literal 2 binary64)) #s(literal -1/8 binary64)) (.f64 (pow.f64 (.f64 y #s(literal 2 binary64)) #s(literal -1/8 binary64)) (pow.f64 (*.f64 y #s(literal 2 binary64)) #s(literal -1/4 binary64))))
(.f64 (pow.f64 (pow.f64 (.f64 y #s(literal 2 binary64)) #s(literal -1/4 binary64)) #s(literal 1 binary64)) (pow.f64 (pow.f64 (*.f64 y #s(literal 2 binary64)) #s(literal -1/4 binary64)) #s(literal 1 binary64)))
(.f64 (.f64 (pow.f64 (.f64 y #s(literal 2 binary64)) #s(literal -1/4 binary64)) (pow.f64 (.f64 y #s(literal 2 binary64)) #s(literal -1/8 binary64))) (pow.f64 (*.f64 y #s(literal 2 binary64)) #s(literal -1/8 binary64)))
(.f64 (.f64 (pow.f64 (*.f64 y #s(literal 2 binary64)) #s(literal -1/4 binary64)) (pow.f64 y #s(literal -1/4 binary64))) (pow.f64 #s(literal 2 binary64) #s(literal -1/4 binary64)))
(.f64 (.f64 (pow.f64 y #s(literal -1/2 binary64)) (pow.f64 #s(literal 2 binary64) #s(literal -1/4 binary64))) (pow.f64 #s(literal 2 binary64) #s(literal -1/4 binary64)))
(.f64 (.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)) (pow.f64 y #s(literal -1/4 binary64))) (pow.f64 y #s(literal -1/4 binary64)))
(.f64 (.f64 (pow.f64 (*.f64 y #s(literal 2 binary64)) #s(literal -1/4 binary64)) (pow.f64 #s(literal 2 binary64) #s(literal -1/4 binary64))) (pow.f64 y #s(literal -1/4 binary64)))
(-.f64 (sin.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) (.f64 (cos.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) #s(literal 0 binary64)))
(-.f64 #s(literal 0 binary64) (sin.f64 (/.f64 x (*.f64 y #s(literal -2 binary64)))))
(-.f64 (.f64 #s(literal 0 binary64) (cos.f64 (/.f64 x (.f64 y #s(literal 2 binary64))))) (.f64 #s(literal 1 binary64) (sin.f64 (/.f64 x (.f64 y #s(literal -2 binary64))))))
(sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))
(neg.f64 (sin.f64 (/.f64 x (*.f64 y #s(literal -2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))))
(/.f64 (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) #s(literal 1 binary64))
(/.f64 (sin.f64 (/.f64 x (*.f64 y #s(literal -2 binary64)))) #s(literal -1 binary64))
(.f64 #s(literal 1 binary64) (sin.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))))
(.f64 (sin.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) #s(literal 1 binary64))
(.f64 #s(literal -1 binary64) (sin.f64 (/.f64 x (.f64 y #s(literal -2 binary64)))))
(-.f64 (sin.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) (.f64 (cos.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) #s(literal 0 binary64)))
(-.f64 #s(literal 0 binary64) (sin.f64 (/.f64 x (*.f64 y #s(literal -2 binary64)))))
(-.f64 (.f64 #s(literal 0 binary64) (cos.f64 (/.f64 x (.f64 y #s(literal 2 binary64))))) (.f64 #s(literal 1 binary64) (sin.f64 (/.f64 x (.f64 y #s(literal -2 binary64))))))
(sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))
(neg.f64 (sin.f64 (/.f64 x (*.f64 y #s(literal -2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))))
(/.f64 (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) #s(literal 1 binary64))
(/.f64 (sin.f64 (/.f64 x (*.f64 y #s(literal -2 binary64)))) #s(literal -1 binary64))
(.f64 #s(literal 1 binary64) (sin.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))))
(.f64 (sin.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) #s(literal 1 binary64))
(.f64 #s(literal -1 binary64) (sin.f64 (/.f64 x (.f64 y #s(literal -2 binary64)))))

eval540.0ms (3.6%)

Memory: -6.7MiB live, 820.4MiB allocated
Compiler: Compiled 54 525 to 4 756 computations (91.3% saved)

prune884.0ms (6%)

Memory

-10.2MiB live, 1 328.8MiB allocated

Pruning

115 alts after pruning (112 fresh and 3 done)

	Pruned	Kept	Total
New	2 505	86	2 591
Fresh	25	26	51
Picked	3	2	5
Done	0	1	1
Total	2 533	115	2 648

Accuracy

60.9%

Counts

2 648 → 115

Alt Table

Click to see full alt table

Status	Accuracy	Program
	52.6%	(pow.f64 (fma.f64 (cos.f64 (/.f64 x y)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) #s(literal -1/2 binary64))
	52.6%	(pow.f64 (pow.f64 (cos.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) #s(literal 4 binary64)) #s(literal -1/4 binary64))
	50.5%	(pow.f64 (pow.f64 (cos.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) #s(literal -1/2 binary64)) #s(literal 2 binary64))
	4.8%	(pow.f64 (/.f64 (+.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (/.f64 (+.f64 x x) y)))) #s(literal -1 binary64)) (.f64 #s(literal 2 binary64) (+.f64 (cos.f64 (/.f64 x y)) #s(literal -1 binary64)))) #s(literal -1/2 binary64))
	50.3%	(pow.f64 (/.f64 (+.f64 (cos.f64 (fma.f64 x (/.f64 #s(literal -1/2 binary64) y) (/.f64 x (.f64 y #s(literal 2 binary64))))) (cos.f64 (-.f64 (/.f64 x (.f64 y #s(literal -2 binary64))) (/.f64 x (*.f64 y #s(literal 2 binary64)))))) #s(literal 2 binary64)) #s(literal -1/2 binary64))
	52.6%	(pow.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x y))))) #s(literal -1/2 binary64))
	50.7%	(pow.f64 (.f64 (cos.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) (cos.f64 (/.f64 x (exp.f64 (log.f64 (*.f64 y #s(literal 2 binary64))))))) #s(literal -1/2 binary64))
	52.1%	(pow.f64 (.f64 (cos.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) (cos.f64 (/.f64 #s(literal 1 binary64) (/.f64 y (*.f64 x #s(literal 1/2 binary64)))))) #s(literal -1/2 binary64))
	45.5%	(pow.f64 (.f64 (cos.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) (cos.f64 (.f64 (pow.f64 (.f64 (.f64 y #s(literal 2 binary64)) y) #s(literal -1/2 binary64)) (.f64 x (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)))))) #s(literal -1/2 binary64))
	51.5%	(pow.f64 (.f64 (cos.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) (cos.f64 (.f64 (pow.f64 y #s(literal -1/2 binary64)) (.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 y #s(literal -1/2 binary64))) x)))) #s(literal -1/2 binary64))
	52.2%	(pow.f64 (.f64 (cos.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) (cos.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x))) #s(literal -1/2 binary64))
	43.6%	(pow.f64 (.f64 (cos.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) (cos.f64 (.f64 (neg.f64 x) (.f64 x (/.f64 #s(literal -1/2 binary64) (*.f64 x y)))))) #s(literal -1/2 binary64))
	49.8%	(pow.f64 (.f64 (cos.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) #s(approx (cos (/ x (* y 2))) #s(literal 1 binary64))) #s(literal -1/2 binary64))
	6.5%	(/.f64 (/.f64 (.f64 (neg.f64 (pow.f64 (sin.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) #s(literal 3 binary64))) (/.f64 #s(literal -1 binary64) (cos.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))))) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (/.f64 x y))))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
	19.5%	(/.f64 (/.f64 (sin.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) (cos.f64 (/.f64 x (.f64 y #s(literal 2 binary64))))) (sin.f64 (/.f64 (.f64 (/.f64 #s(literal -1/2 binary64) y) (neg.f64 (.f64 x x))) x)))
	40.5%	(/.f64 (/.f64 (sin.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) (cos.f64 (/.f64 x (.f64 y #s(literal 2 binary64))))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
	39.7%	(/.f64 (/.f64 #s(literal 1 binary64) (sin.f64 (/.f64 x (.f64 y #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) (tan.f64 (/.f64 x (.f64 y #s(literal 2 binary64))))))
	6.1%	(/.f64 (tan.f64 (/.f64 (.f64 (neg.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))))) (/.f64 #s(literal -1/2 binary64) (.f64 x y))) (.f64 x (.f64 x (.f64 x x))))) (sin.f64 (/.f64 (.f64 (/.f64 #s(literal -1/2 binary64) y) (neg.f64 (.f64 x x))) x)))
▶	8.8%	(/.f64 (tan.f64 (/.f64 (.f64 (neg.f64 (.f64 x (.f64 x (.f64 x x)))) (/.f64 #s(literal -1/2 binary64) (.f64 x y))) (.f64 x x))) (sin.f64 (/.f64 (.f64 (/.f64 #s(literal -1/2 binary64) y) (neg.f64 (.f64 x x))) x)))
	19.4%	(/.f64 (tan.f64 (/.f64 (.f64 x x) (.f64 y (+.f64 x x)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
	15.6%	(/.f64 (tan.f64 (/.f64 x (/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (.f64 y #s(literal -2 binary64)) #s(literal 3 binary64))) (.f64 #s(literal 4 binary64) (.f64 y y))))) (sin.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))))
	18.1%	(/.f64 (tan.f64 (/.f64 x (.f64 (exp.f64 (log.f64 y)) (exp.f64 (log.f64 #s(literal 2 binary64)))))) (sin.f64 (/.f64 (.f64 (/.f64 #s(literal -1/2 binary64) y) (neg.f64 (*.f64 x x))) x)))
	39.6%	(/.f64 (tan.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))))))
	19.4%	(/.f64 (tan.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 (/.f64 (.f64 (*.f64 x x) #s(literal 1/2 binary64)) y) x)))
	40.2%	(/.f64 (tan.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) x))) y)))
	19.5%	(/.f64 (tan.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 y (.f64 (*.f64 x x) #s(literal 1/2 binary64))))))
	27.7%	(/.f64 (tan.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 (-.f64 (.f64 #s(literal 0 binary64) (/.f64 (.f64 y #s(literal -2 binary64)) x)) (.f64 y #s(literal -2 binary64))) (.f64 (.f64 y #s(literal -2 binary64)) (/.f64 (*.f64 y #s(literal -2 binary64)) x)))))
	28.6%	(/.f64 (tan.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 (.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))) x) x)))
	12.2%	(/.f64 (tan.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 (.f64 (/.f64 #s(literal -1/2 binary64) y) (neg.f64 (.f64 x (.f64 x x)))) (*.f64 x x))))
	28.1%	(/.f64 (tan.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 (.f64 (.f64 x (pow.f64 (.f64 y #s(literal 2 binary64)) #s(literal -1/2 binary64))) (.f64 x (pow.f64 (.f64 y #s(literal 2 binary64)) #s(literal -1/2 binary64)))) x)))
	6.1%	(/.f64 (tan.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 (.f64 (neg.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))))) (/.f64 #s(literal -1/2 binary64) y)) (.f64 (.f64 x (.f64 x (*.f64 x x))) x))))
	19.3%	(/.f64 (tan.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 (.f64 x x) (*.f64 y (+.f64 x x)))))
	15.5%	(/.f64 (tan.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (/.f64 (neg.f64 (.f64 (.f64 y #s(literal 2 binary64)) (.f64 #s(literal 4 binary64) (.f64 y y)))) (neg.f64 (.f64 #s(literal 4 binary64) (*.f64 y y)))))))
✓	40.5%	(/.f64 (tan.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))))
	37.8%	(/.f64 (tan.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (exp.f64 (neg.f64 (.f64 #s(literal -1 binary64) (log.f64 (*.f64 y #s(literal 2 binary64)))))))))
	39.7%	(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 y x))))
	2.7%	(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 x y))))
	39.5%	(/.f64 (tan.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 #s(literal -1/2 binary64) (.f64 (/.f64 #s(literal -1 binary64) x) y))))
	19.3%	(/.f64 (tan.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 #s(literal -1 binary64) (.f64 (/.f64 y (.f64 (.f64 x x) #s(literal 1/2 binary64))) (neg.f64 x)))))
▶	40.0%	(/.f64 (tan.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) (sin.f64 (.f64 (pow.f64 (.f64 y #s(literal 2 binary64)) #s(literal -3/4 binary64)) (.f64 x (pow.f64 (*.f64 y #s(literal 2 binary64)) #s(literal -1/4 binary64))))))
	40.2%	(/.f64 (tan.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) (sin.f64 (.f64 (pow.f64 y #s(literal -1/4 binary64)) (.f64 (pow.f64 y #s(literal -1/4 binary64)) (.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 y #s(literal -1/2 binary64))) x)))))
	39.9%	(/.f64 (tan.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) (sin.f64 (.f64 (pow.f64 y #s(literal -1/2 binary64)) (.f64 (.f64 #s(literal 1/2 binary64) (pow.f64 y #s(literal -1/2 binary64))) x))))
	39.9%	(/.f64 (tan.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) (sin.f64 (.f64 (/.f64 #s(literal 1/2 binary64) y) x)))
	19.3%	(/.f64 (tan.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) (sin.f64 (.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 (*.f64 x x) y))))
	19.4%	(/.f64 (tan.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) (sin.f64 (.f64 (/.f64 #s(literal -1/2 binary64) (.f64 x y)) (.f64 x (neg.f64 x)))))
	40.1%	(/.f64 (tan.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) (sin.f64 (.f64 (.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 x (.f64 y #s(literal 2 binary64)))) x)))
	36.3%	(/.f64 (tan.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) (sin.f64 (exp.f64 (.f64 #s(literal -1 binary64) (log.f64 (/.f64 y (*.f64 x #s(literal 1/2 binary64))))))))
	36.1%	(/.f64 (tan.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) #s(approx (sin (/ ( (/ -1/2 y) (neg (* x x))) x)) (/.f64 (*.f64 x #s(literal 1/2 binary64)) y)))
	37.0%	(/.f64 (tan.f64 (/.f64 x (exp.f64 (neg.f64 (.f64 #s(literal -1 binary64) (log.f64 (.f64 y #s(literal 2 binary64)))))))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
	18.2%	(/.f64 (tan.f64 (/.f64 x (exp.f64 (log.f64 (.f64 y #s(literal 2 binary64)))))) (sin.f64 (/.f64 (.f64 (/.f64 #s(literal -1/2 binary64) y) (neg.f64 (*.f64 x x))) x)))
▶	39.5%	(/.f64 (tan.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 y x))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
	1.8%	(/.f64 (tan.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 x y))) (sin.f64 (/.f64 (.f64 (/.f64 #s(literal -1/2 binary64) y) (neg.f64 (.f64 x x))) x)))
	2.7%	(/.f64 (tan.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 x y))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
	22.6%	(/.f64 (tan.f64 (.f64 (pow.f64 (.f64 (.f64 y #s(literal 2 binary64)) y) #s(literal -1/2 binary64)) (.f64 x (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64))))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
	37.6%	(/.f64 (tan.f64 (.f64 (pow.f64 (.f64 (exp.f64 (log.f64 y)) (exp.f64 (log.f64 #s(literal 2 binary64)))) #s(literal -1/2 binary64)) (.f64 (pow.f64 (.f64 y #s(literal 2 binary64)) #s(literal -1/2 binary64)) x))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
	39.8%	(/.f64 (tan.f64 (.f64 (pow.f64 (.f64 y #s(literal 2 binary64)) #s(literal -1/2 binary64)) (/.f64 (pow.f64 (.f64 y #s(literal 2 binary64)) #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) x)))) (sin.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))))
	37.5%	(/.f64 (tan.f64 (.f64 (pow.f64 (.f64 y #s(literal 2 binary64)) #s(literal -1/2 binary64)) (.f64 (pow.f64 (.f64 (exp.f64 (log.f64 y)) (exp.f64 (log.f64 #s(literal 2 binary64)))) #s(literal -1/2 binary64)) x))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
	39.8%	(/.f64 (tan.f64 (.f64 (pow.f64 (.f64 y #s(literal 2 binary64)) #s(literal -1/2 binary64)) (.f64 (pow.f64 (.f64 y #s(literal 2 binary64)) #s(literal -1/2 binary64)) x))) (sin.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 2 binary64) x))))
	36.7%	(/.f64 (tan.f64 (.f64 (pow.f64 (.f64 y #s(literal 2 binary64)) #s(literal -1/2 binary64)) (.f64 (pow.f64 (.f64 y #s(literal 2 binary64)) #s(literal -1/2 binary64)) x))) (sin.f64 (/.f64 x (*.f64 (exp.f64 (log.f64 y)) (exp.f64 (log.f64 #s(literal 2 binary64)))))))
	37.5%	(/.f64 (tan.f64 (.f64 (pow.f64 (.f64 y #s(literal 2 binary64)) #s(literal -1/2 binary64)) (.f64 (pow.f64 (.f64 y #s(literal 2 binary64)) #s(literal -1/2 binary64)) x))) (sin.f64 (/.f64 x (exp.f64 (log.f64 (*.f64 y #s(literal 2 binary64)))))))
	39.2%	(/.f64 (tan.f64 (.f64 (pow.f64 (.f64 y #s(literal 2 binary64)) #s(literal -1/2 binary64)) (.f64 (pow.f64 (.f64 y #s(literal 2 binary64)) #s(literal -1/2 binary64)) x))) (sin.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 #s(literal -1 binary64) x) y))))
	41.1%	(/.f64 (tan.f64 (.f64 (pow.f64 (.f64 y #s(literal 2 binary64)) #s(literal -1/2 binary64)) (.f64 (pow.f64 (.f64 y #s(literal 2 binary64)) #s(literal -1/2 binary64)) x))) (sin.f64 (.f64 (pow.f64 (.f64 y #s(literal 2 binary64)) #s(literal -1/2 binary64)) (.f64 x (pow.f64 (.f64 y #s(literal 2 binary64)) #s(literal -1/2 binary64))))))
	37.5%	(/.f64 (tan.f64 (.f64 (pow.f64 (.f64 y #s(literal 2 binary64)) #s(literal -1/2 binary64)) (.f64 (pow.f64 (exp.f64 #s(literal -1/2 binary64)) (log.f64 (.f64 y #s(literal 2 binary64)))) x))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
	40.0%	(/.f64 (tan.f64 (.f64 (pow.f64 (.f64 y #s(literal 2 binary64)) #s(literal -1/2 binary64)) (.f64 (.f64 (pow.f64 y #s(literal -1/4 binary64)) (.f64 (pow.f64 y #s(literal -1/4 binary64)) (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)))) x))) (sin.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))))
	38.0%	(/.f64 (tan.f64 (.f64 (pow.f64 (.f64 y #s(literal 2 binary64)) #s(literal -1/2 binary64)) (.f64 (exp.f64 (.f64 #s(literal -1/2 binary64) (log.f64 (.f64 y #s(literal 2 binary64))))) x))) (sin.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))))
	39.7%	(/.f64 (tan.f64 (.f64 (pow.f64 (.f64 y #s(literal 2 binary64)) #s(literal -1/2 binary64)) (.f64 #s(approx (pow ( y 2) -1/2) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))) x))) (sin.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))))
	39.4%	(/.f64 (tan.f64 (.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/4 binary64)) (.f64 (pow.f64 y #s(literal -1/4 binary64)) (.f64 x (pow.f64 (.f64 y #s(literal 2 binary64)) #s(literal -3/4 binary64)))))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
	13.2%	(/.f64 (tan.f64 (.f64 (/.f64 (neg.f64 x) (neg.f64 (.f64 (.f64 y #s(literal 2 binary64)) (.f64 #s(literal 4 binary64) (.f64 y y))))) (.f64 #s(literal 4 binary64) (.f64 y y)))) (sin.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))))
	22.0%	(/.f64 (tan.f64 (.f64 (/.f64 #s(literal 1/2 binary64) y) (.f64 (.f64 x (neg.f64 x)) (/.f64 #s(literal -1 binary64) x)))) (sin.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))))
	40.0%	(/.f64 (tan.f64 (.f64 (/.f64 #s(literal 1/2 binary64) y) x)) (sin.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))))
	19.3%	(/.f64 (tan.f64 (.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 (.f64 x x) y))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
	25.7%	(/.f64 (tan.f64 (.f64 (neg.f64 x) (.f64 x (/.f64 #s(literal -1/2 binary64) (.f64 x y))))) (sin.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))))
	39.9%	(/.f64 (tan.f64 (.f64 #s(approx (pow ( y 2) -1/2) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))) (.f64 (pow.f64 (.f64 y #s(literal 2 binary64)) #s(literal -1/2 binary64)) x))) (sin.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))))
	36.2%	(/.f64 (tan.f64 (exp.f64 (.f64 #s(literal -1 binary64) (log.f64 (/.f64 y (.f64 x #s(literal 1/2 binary64))))))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
	40.2%	(/.f64 (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (/.f64 (sin.f64 (/.f64 x y)) #s(literal 2 binary64)))
	20.1%	(/.f64 (neg.f64 (pow.f64 (tan.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) #s(literal 3 binary64))) (.f64 (sin.f64 (/.f64 x (.f64 y #s(literal -2 binary64)))) (pow.f64 (tan.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) #s(literal 2 binary64))))
	35.9%	(/.f64 #s(approx (tan (/ x (* y 2))) (/.f64 (.f64 x #s(literal 1/2 binary64)) y)) (sin.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))))
	52.6%	(/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (/.f64 x y)) #s(literal 1/2 binary64)) #s(literal 1/2 binary64)))
	40.2%	(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (sin.f64 (/.f64 x y)) #s(literal 2 binary64)) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))))
	39.7%	(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (tan.f64 (/.f64 x (.f64 y #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) (sin.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))))))
	40.5%	(/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) (tan.f64 (/.f64 x (.f64 y #s(literal 2 binary64))))))
	39.7%	(/.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal 1 binary64) (tan.f64 (/.f64 x (.f64 y #s(literal 2 binary64))))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))))
	53.7%	(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 2 binary64) x))))
	11.5%	(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 (.f64 (neg.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))))) (/.f64 #s(literal -1/2 binary64) (.f64 x y))) (.f64 x (.f64 x (.f64 x x))))))
	20.8%	(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 (.f64 (neg.f64 (.f64 x (.f64 x (.f64 x x)))) (/.f64 #s(literal -1/2 binary64) (.f64 x y))) (.f64 x x))))
	52.9%	(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 (.f64 x (/.f64 x (.f64 y #s(literal 2 binary64)))) x)))
	41.6%	(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 (.f64 x x) (.f64 y (+.f64 x x)))))
	54.0%	(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x (*.f64 (exp.f64 (log.f64 y)) (exp.f64 (log.f64 #s(literal 2 binary64)))))))
✓	53.8%	(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
	53.8%	(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x (exp.f64 (log.f64 (*.f64 y #s(literal 2 binary64)))))))
	53.7%	(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 #s(literal 1 binary64) (/.f64 y (*.f64 x #s(literal 1/2 binary64))))))
	54.0%	(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 #s(literal -1 binary64) x) y))))
	49.4%	(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 #s(literal -1 binary64) (.f64 (/.f64 y (.f64 (*.f64 x x) #s(literal 1/2 binary64))) (neg.f64 x)))))
	47.2%	(/.f64 #s(literal 1 binary64) (cos.f64 (.f64 (pow.f64 (.f64 (.f64 y #s(literal 2 binary64)) y) #s(literal -1/2 binary64)) (.f64 x (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64))))))
	53.5%	(/.f64 #s(literal 1 binary64) (cos.f64 (.f64 (pow.f64 (.f64 y #s(literal 2 binary64)) #s(literal -1/4 binary64)) (.f64 x (pow.f64 (.f64 y #s(literal 2 binary64)) #s(literal -3/4 binary64))))))
▶	54.4%	(/.f64 #s(literal 1 binary64) (cos.f64 (.f64 (pow.f64 (.f64 y #s(literal 2 binary64)) #s(literal -1/2 binary64)) (.f64 x (pow.f64 (.f64 y #s(literal 2 binary64)) #s(literal -1/2 binary64))))))
	53.3%	(/.f64 #s(literal 1 binary64) (cos.f64 (.f64 (pow.f64 y #s(literal -1/2 binary64)) (.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 y #s(literal -1/2 binary64))) x))))
	53.4%	(/.f64 #s(literal 1 binary64) (cos.f64 (.f64 (/.f64 x (.f64 y #s(literal -2 binary64))) (*.f64 x (/.f64 #s(literal -1 binary64) x)))))
	52.8%	(/.f64 #s(literal 1 binary64) (cos.f64 (.f64 (/.f64 #s(literal 1 binary64) x) (.f64 x (/.f64 x (*.f64 y #s(literal 2 binary64)))))))
	48.9%	(/.f64 #s(literal 1 binary64) (cos.f64 (.f64 (/.f64 #s(literal 1/2 binary64) y) (.f64 (*.f64 x (neg.f64 x)) (/.f64 #s(literal -1 binary64) x)))))
	53.5%	(/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)))
	41.5%	(/.f64 #s(literal 1 binary64) (cos.f64 (.f64 (/.f64 #s(literal -1/2 binary64) (.f64 x y)) (*.f64 x (neg.f64 x)))))
	47.5%	(/.f64 #s(literal 1 binary64) (cos.f64 (.f64 (.f64 (.f64 x (pow.f64 (.f64 (*.f64 y #s(literal 2 binary64)) y) #s(literal -1/2 binary64))) (pow.f64 #s(literal 2 binary64) #s(literal -1/4 binary64))) (pow.f64 #s(literal 2 binary64) #s(literal -1/4 binary64)))))
	44.7%	(/.f64 #s(literal 1 binary64) (cos.f64 (.f64 (.f64 #s(literal 1/2 binary64) x) (/.f64 x (*.f64 x y)))))
	44.6%	(/.f64 #s(literal 1 binary64) (cos.f64 (.f64 (neg.f64 x) (.f64 x (/.f64 #s(literal -1/2 binary64) (*.f64 x y))))))
	48.6%	(/.f64 #s(literal 1 binary64) (cos.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (/.f64 (.f64 x x) y) x))))
▶	42.6%	(/.f64 #s(literal 1 binary64) #s(approx (cos (/ x (* y 2))) (fma.f64 (/.f64 (.f64 x x) (.f64 y y)) #s(literal -1/8 binary64) #s(literal 1 binary64))))
	51.8%	(*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x y))) #s(literal -1/2 binary64)) (pow.f64 #s(literal 1/2 binary64) #s(literal -1/2 binary64)))
	25.2%	(.f64 (/.f64 (/.f64 #s(literal 1 binary64) (sin.f64 (/.f64 x (.f64 y #s(literal 2 binary64))))) (sin.f64 (/.f64 x (.f64 y #s(literal 2 binary64))))) (/.f64 (sin.f64 (/.f64 x (.f64 y #s(literal -2 binary64)))) (/.f64 #s(literal 1 binary64) (tan.f64 (/.f64 x (*.f64 y #s(literal -2 binary64)))))))
	6.5%	(.f64 (/.f64 (tan.f64 (/.f64 x (.f64 y #s(literal -2 binary64)))) (neg.f64 (pow.f64 (sin.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) #s(literal 3 binary64)))) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (/.f64 x y)))))
	7.1%	(.f64 (/.f64 (tan.f64 (/.f64 x (.f64 y #s(literal -2 binary64)))) (neg.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (/.f64 x y)))))) (sin.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))))
	39.7%	(.f64 (/.f64 #s(literal 1 binary64) (sin.f64 (/.f64 x (.f64 y #s(literal 2 binary64))))) (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
	39.7%	(.f64 (sin.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) (/.f64 (/.f64 #s(literal 1 binary64) (sin.f64 (/.f64 x (.f64 y #s(literal 2 binary64))))) (cos.f64 (/.f64 x (.f64 y #s(literal 2 binary64))))))
	50.5%	(exp.f64 (.f64 #s(literal -1 binary64) (log.f64 (cos.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))))))
✓	53.9%	#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(literal 1 binary64))

Compiler

Compiled 4 641 to 3 005 computations (35.3% saved)

simplify145.0ms (1%)

Memory

19.3MiB live, 210.7MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(*.f64 y #s(literal 2 binary64))
cost-diff	0	(/.f64 x (*.f64 y #s(literal 2 binary64)))
cost-diff	0	(tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))
cost-diff	0	(/.f64 (tan.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) (sin.f64 (.f64 (pow.f64 (.f64 y #s(literal 2 binary64)) #s(literal -3/4 binary64)) (.f64 x (pow.f64 (*.f64 y #s(literal 2 binary64)) #s(literal -1/4 binary64))))))
cost-diff	128	(.f64 (/.f64 #s(literal -1/2 binary64) y) (neg.f64 (.f64 x x)))
cost-diff	768	(.f64 (neg.f64 (.f64 x (.f64 x (.f64 x x)))) (/.f64 #s(literal -1/2 binary64) (*.f64 x y)))
cost-diff	1024	(/.f64 (.f64 (/.f64 #s(literal -1/2 binary64) y) (neg.f64 (.f64 x x))) x)
cost-diff	1664	(/.f64 (.f64 (neg.f64 (.f64 x (.f64 x (.f64 x x)))) (/.f64 #s(literal -1/2 binary64) (.f64 x y))) (.f64 x x))
cost-diff	0	(/.f64 y x)
cost-diff	0	(tan.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 y x)))
cost-diff	0	(/.f64 (tan.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 y x))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
cost-diff	384	(/.f64 #s(literal 1/2 binary64) (/.f64 y x))
cost-diff	0	(/.f64 (.f64 x x) (.f64 y y))
cost-diff	0	(fma.f64 (/.f64 (.f64 x x) (.f64 y y)) #s(literal -1/8 binary64) #s(literal 1 binary64))
cost-diff	0	#s(approx (cos (/ x (* y 2))) (fma.f64 (/.f64 (.f64 x x) (.f64 y y)) #s(literal -1/8 binary64) #s(literal 1 binary64)))
cost-diff	0	(/.f64 #s(literal 1 binary64) #s(approx (cos (/ x (* y 2))) (fma.f64 (/.f64 (.f64 x x) (.f64 y y)) #s(literal -1/8 binary64) #s(literal 1 binary64))))
cost-diff	0	(pow.f64 (*.f64 y #s(literal 2 binary64)) #s(literal -1/2 binary64))
cost-diff	0	(cos.f64 (.f64 (pow.f64 (.f64 y #s(literal 2 binary64)) #s(literal -1/2 binary64)) (.f64 x (pow.f64 (.f64 y #s(literal 2 binary64)) #s(literal -1/2 binary64)))))
cost-diff	0	(/.f64 #s(literal 1 binary64) (cos.f64 (.f64 (pow.f64 (.f64 y #s(literal 2 binary64)) #s(literal -1/2 binary64)) (.f64 x (pow.f64 (.f64 y #s(literal 2 binary64)) #s(literal -1/2 binary64))))))
cost-diff	12864	(.f64 (pow.f64 (.f64 y #s(literal 2 binary64)) #s(literal -1/2 binary64)) (.f64 x (pow.f64 (.f64 y #s(literal 2 binary64)) #s(literal -1/2 binary64))))

Rules

4 198×	`lower-*.f32`
4 174×	`lower-*.f64`
2 706×	`lower-fma.f32`
2 704×	`lower-fma.f64`
2 332×	`lower-/.f32`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	51	407
0	90	366
1	151	355
2	345	318
3	1145	317
4	3419	317
5	5645	317
0	8381	317

Stop Event

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

Calls

Call 1

Inputs
(/.f64 #s(literal 1 binary64) (cos.f64 (.f64 (pow.f64 (.f64 y #s(literal 2 binary64)) #s(literal -1/2 binary64)) (.f64 x (pow.f64 (.f64 y #s(literal 2 binary64)) #s(literal -1/2 binary64))))))
#s(literal 1 binary64)
(cos.f64 (.f64 (pow.f64 (.f64 y #s(literal 2 binary64)) #s(literal -1/2 binary64)) (.f64 x (pow.f64 (.f64 y #s(literal 2 binary64)) #s(literal -1/2 binary64)))))
(.f64 (pow.f64 (.f64 y #s(literal 2 binary64)) #s(literal -1/2 binary64)) (.f64 x (pow.f64 (.f64 y #s(literal 2 binary64)) #s(literal -1/2 binary64))))
(pow.f64 (*.f64 y #s(literal 2 binary64)) #s(literal -1/2 binary64))
(*.f64 y #s(literal 2 binary64))
y
#s(literal 2 binary64)
#s(literal -1/2 binary64)
(.f64 x (pow.f64 (.f64 y #s(literal 2 binary64)) #s(literal -1/2 binary64)))
x
(/.f64 #s(literal 1 binary64) #s(approx (cos (/ x (* y 2))) (fma.f64 (/.f64 (.f64 x x) (.f64 y y)) #s(literal -1/8 binary64) #s(literal 1 binary64))))
#s(literal 1 binary64)
#s(approx (cos (/ x (* y 2))) (fma.f64 (/.f64 (.f64 x x) (.f64 y y)) #s(literal -1/8 binary64) #s(literal 1 binary64)))
(fma.f64 (/.f64 (.f64 x x) (.f64 y y)) #s(literal -1/8 binary64) #s(literal 1 binary64))
(/.f64 (.f64 x x) (.f64 y y))
(*.f64 x x)
x
(*.f64 y y)
y
#s(literal -1/8 binary64)
(/.f64 (tan.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 y x))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
(tan.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 y x)))
(/.f64 #s(literal 1/2 binary64) (/.f64 y x))
#s(literal 1/2 binary64)
(/.f64 y x)
y
x
(sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))
(/.f64 x (*.f64 y #s(literal 2 binary64)))
(*.f64 y #s(literal 2 binary64))
#s(literal 2 binary64)
(/.f64 (tan.f64 (/.f64 (.f64 (neg.f64 (.f64 x (.f64 x (.f64 x x)))) (/.f64 #s(literal -1/2 binary64) (.f64 x y))) (.f64 x x))) (sin.f64 (/.f64 (.f64 (/.f64 #s(literal -1/2 binary64) y) (neg.f64 (.f64 x x))) x)))
(tan.f64 (/.f64 (.f64 (neg.f64 (.f64 x (.f64 x (.f64 x x)))) (/.f64 #s(literal -1/2 binary64) (.f64 x y))) (.f64 x x)))
(/.f64 (.f64 (neg.f64 (.f64 x (.f64 x (.f64 x x)))) (/.f64 #s(literal -1/2 binary64) (.f64 x y))) (.f64 x x))
(.f64 (neg.f64 (.f64 x (.f64 x (.f64 x x)))) (/.f64 #s(literal -1/2 binary64) (*.f64 x y)))
(neg.f64 (.f64 x (.f64 x (*.f64 x x))))
(.f64 x (.f64 x (*.f64 x x)))
x
(.f64 x (.f64 x x))
(*.f64 x x)
(/.f64 #s(literal -1/2 binary64) (*.f64 x y))
#s(literal -1/2 binary64)
(*.f64 x y)
y
(sin.f64 (/.f64 (.f64 (/.f64 #s(literal -1/2 binary64) y) (neg.f64 (.f64 x x))) x))
(/.f64 (.f64 (/.f64 #s(literal -1/2 binary64) y) (neg.f64 (.f64 x x))) x)
(.f64 (/.f64 #s(literal -1/2 binary64) y) (neg.f64 (.f64 x x)))
(/.f64 #s(literal -1/2 binary64) y)
(neg.f64 (*.f64 x x))
(/.f64 (tan.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) (sin.f64 (.f64 (pow.f64 (.f64 y #s(literal 2 binary64)) #s(literal -3/4 binary64)) (.f64 x (pow.f64 (*.f64 y #s(literal 2 binary64)) #s(literal -1/4 binary64))))))
(tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))
(/.f64 x (*.f64 y #s(literal 2 binary64)))
x
(*.f64 y #s(literal 2 binary64))
y
#s(literal 2 binary64)
(sin.f64 (.f64 (pow.f64 (.f64 y #s(literal 2 binary64)) #s(literal -3/4 binary64)) (.f64 x (pow.f64 (.f64 y #s(literal 2 binary64)) #s(literal -1/4 binary64)))))
(.f64 (pow.f64 (.f64 y #s(literal 2 binary64)) #s(literal -3/4 binary64)) (.f64 x (pow.f64 (.f64 y #s(literal 2 binary64)) #s(literal -1/4 binary64))))
(pow.f64 (*.f64 y #s(literal 2 binary64)) #s(literal -3/4 binary64))
#s(literal -3/4 binary64)
(.f64 x (pow.f64 (.f64 y #s(literal 2 binary64)) #s(literal -1/4 binary64)))
(pow.f64 (*.f64 y #s(literal 2 binary64)) #s(literal -1/4 binary64))
#s(literal -1/4 binary64)

Outputs
(/.f64 #s(literal 1 binary64) (cos.f64 (.f64 (pow.f64 (.f64 y #s(literal 2 binary64)) #s(literal -1/2 binary64)) (.f64 x (pow.f64 (.f64 y #s(literal 2 binary64)) #s(literal -1/2 binary64))))))
(/.f64 #s(literal 1 binary64) (cos.f64 (.f64 x (/.f64 #s(literal 1 binary64) (.f64 y #s(literal 2 binary64))))))
#s(literal 1 binary64)
(cos.f64 (.f64 (pow.f64 (.f64 y #s(literal 2 binary64)) #s(literal -1/2 binary64)) (.f64 x (pow.f64 (.f64 y #s(literal 2 binary64)) #s(literal -1/2 binary64)))))
(cos.f64 (.f64 x (/.f64 #s(literal 1 binary64) (.f64 y #s(literal 2 binary64)))))
(.f64 (pow.f64 (.f64 y #s(literal 2 binary64)) #s(literal -1/2 binary64)) (.f64 x (pow.f64 (.f64 y #s(literal 2 binary64)) #s(literal -1/2 binary64))))
(.f64 x (/.f64 #s(literal 1 binary64) (.f64 y #s(literal 2 binary64))))
(pow.f64 (*.f64 y #s(literal 2 binary64)) #s(literal -1/2 binary64))
(*.f64 y #s(literal 2 binary64))
y
#s(literal 2 binary64)
#s(literal -1/2 binary64)
(.f64 x (pow.f64 (.f64 y #s(literal 2 binary64)) #s(literal -1/2 binary64)))
(.f64 (pow.f64 (.f64 y #s(literal 2 binary64)) #s(literal -1/2 binary64)) x)
x
(/.f64 #s(literal 1 binary64) #s(approx (cos (/ x (* y 2))) (fma.f64 (/.f64 (.f64 x x) (.f64 y y)) #s(literal -1/8 binary64) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) #s(approx (cos (/ x (* y 2))) (fma.f64 (.f64 x x) (/.f64 #s(literal -1/8 binary64) (.f64 y y)) #s(literal 1 binary64))))
#s(literal 1 binary64)
#s(approx (cos (/ x (* y 2))) (fma.f64 (/.f64 (.f64 x x) (.f64 y y)) #s(literal -1/8 binary64) #s(literal 1 binary64)))
#s(approx (cos (/ x (* y 2))) (fma.f64 (.f64 x x) (/.f64 #s(literal -1/8 binary64) (.f64 y y)) #s(literal 1 binary64)))
(fma.f64 (/.f64 (.f64 x x) (.f64 y y)) #s(literal -1/8 binary64) #s(literal 1 binary64))
(fma.f64 (.f64 x x) (/.f64 #s(literal -1/8 binary64) (.f64 y y)) #s(literal 1 binary64))
(/.f64 (.f64 x x) (.f64 y y))
(*.f64 x x)
x
(*.f64 y y)
y
#s(literal -1/8 binary64)
(/.f64 (tan.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 y x))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
(/.f64 (tan.f64 (/.f64 (.f64 x #s(literal 1/2 binary64)) y)) (sin.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))))
(tan.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 y x)))
(tan.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y))
(/.f64 #s(literal 1/2 binary64) (/.f64 y x))
(/.f64 (*.f64 x #s(literal 1/2 binary64)) y)
#s(literal 1/2 binary64)
(/.f64 y x)
y
x
(sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))
(/.f64 x (*.f64 y #s(literal 2 binary64)))
(*.f64 y #s(literal 2 binary64))
#s(literal 2 binary64)
(/.f64 (tan.f64 (/.f64 (.f64 (neg.f64 (.f64 x (.f64 x (.f64 x x)))) (/.f64 #s(literal -1/2 binary64) (.f64 x y))) (.f64 x x))) (sin.f64 (/.f64 (.f64 (/.f64 #s(literal -1/2 binary64) y) (neg.f64 (.f64 x x))) x)))
(/.f64 (tan.f64 (/.f64 (.f64 x #s(literal 1/2 binary64)) y)) (sin.f64 (/.f64 (.f64 x #s(literal 1/2 binary64)) y)))
(tan.f64 (/.f64 (.f64 (neg.f64 (.f64 x (.f64 x (.f64 x x)))) (/.f64 #s(literal -1/2 binary64) (.f64 x y))) (.f64 x x)))
(tan.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y))
(/.f64 (.f64 (neg.f64 (.f64 x (.f64 x (.f64 x x)))) (/.f64 #s(literal -1/2 binary64) (.f64 x y))) (.f64 x x))
(/.f64 (*.f64 x #s(literal 1/2 binary64)) y)
(.f64 (neg.f64 (.f64 x (.f64 x (.f64 x x)))) (/.f64 #s(literal -1/2 binary64) (*.f64 x y)))
(.f64 x (.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 x x) y)))
(neg.f64 (.f64 x (.f64 x (*.f64 x x))))
(neg.f64 (.f64 (.f64 x x) (*.f64 x x)))
(.f64 x (.f64 x (*.f64 x x)))
(.f64 (.f64 x x) (*.f64 x x))
x
(.f64 x (.f64 x x))
(*.f64 x x)
(/.f64 #s(literal -1/2 binary64) (*.f64 x y))
(/.f64 #s(literal -1/2 binary64) (*.f64 y x))
#s(literal -1/2 binary64)
(*.f64 x y)
(*.f64 y x)
y
(sin.f64 (/.f64 (.f64 (/.f64 #s(literal -1/2 binary64) y) (neg.f64 (.f64 x x))) x))
(sin.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y))
(/.f64 (.f64 (/.f64 #s(literal -1/2 binary64) y) (neg.f64 (.f64 x x))) x)
(/.f64 (*.f64 x #s(literal 1/2 binary64)) y)
(.f64 (/.f64 #s(literal -1/2 binary64) y) (neg.f64 (.f64 x x)))
(.f64 #s(literal 1/2 binary64) (/.f64 (.f64 x x) y))
(/.f64 #s(literal -1/2 binary64) y)
(neg.f64 (*.f64 x x))
(/.f64 (tan.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) (sin.f64 (.f64 (pow.f64 (.f64 y #s(literal 2 binary64)) #s(literal -3/4 binary64)) (.f64 x (pow.f64 (*.f64 y #s(literal 2 binary64)) #s(literal -1/4 binary64))))))
(tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))
(/.f64 x (*.f64 y #s(literal 2 binary64)))
x
(*.f64 y #s(literal 2 binary64))
y
#s(literal 2 binary64)
(sin.f64 (.f64 (pow.f64 (.f64 y #s(literal 2 binary64)) #s(literal -3/4 binary64)) (.f64 x (pow.f64 (.f64 y #s(literal 2 binary64)) #s(literal -1/4 binary64)))))
(.f64 (pow.f64 (.f64 y #s(literal 2 binary64)) #s(literal -3/4 binary64)) (.f64 x (pow.f64 (.f64 y #s(literal 2 binary64)) #s(literal -1/4 binary64))))
(pow.f64 (*.f64 y #s(literal 2 binary64)) #s(literal -3/4 binary64))
#s(literal -3/4 binary64)
(.f64 x (pow.f64 (.f64 y #s(literal 2 binary64)) #s(literal -1/4 binary64)))
(pow.f64 (*.f64 y #s(literal 2 binary64)) #s(literal -1/4 binary64))
#s(literal -1/4 binary64)

localize314.0ms (2.1%)

Memory

2.3MiB live, 435.1MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.2578125	(.f64 (pow.f64 (.f64 y #s(literal 2 binary64)) #s(literal -3/4 binary64)) (.f64 x (pow.f64 (.f64 y #s(literal 2 binary64)) #s(literal -1/4 binary64))))
accuracy	8.37899978572806	(/.f64 (tan.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) (sin.f64 (.f64 (pow.f64 (.f64 y #s(literal 2 binary64)) #s(literal -3/4 binary64)) (.f64 x (pow.f64 (*.f64 y #s(literal 2 binary64)) #s(literal -1/4 binary64))))))
accuracy	29.31035079051208	(sin.f64 (.f64 (pow.f64 (.f64 y #s(literal 2 binary64)) #s(literal -3/4 binary64)) (.f64 x (pow.f64 (.f64 y #s(literal 2 binary64)) #s(literal -1/4 binary64)))))
accuracy	29.367430868950073	(tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))
accuracy	19.256768376716398	(.f64 (neg.f64 (.f64 x (.f64 x (.f64 x x)))) (/.f64 #s(literal -1/2 binary64) (*.f64 x y)))
accuracy	29.31035079051208	(sin.f64 (/.f64 (.f64 (/.f64 #s(literal -1/2 binary64) y) (neg.f64 (.f64 x x))) x))
accuracy	29.367430868950073	(tan.f64 (/.f64 (.f64 (neg.f64 (.f64 x (.f64 x (.f64 x x)))) (/.f64 #s(literal -1/2 binary64) (.f64 x y))) (.f64 x x)))
accuracy	38.13052561029619	(/.f64 (.f64 (neg.f64 (.f64 x (.f64 x (.f64 x x)))) (/.f64 #s(literal -1/2 binary64) (.f64 x y))) (.f64 x x))
accuracy	0.2620822113804207	(/.f64 #s(literal 1/2 binary64) (/.f64 y x))
accuracy	8.37899978572806	(/.f64 (tan.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 y x))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
accuracy	29.31035079051208	(sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))
accuracy	29.367430868950073	(tan.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 y x)))
accuracy	0	(*.f64 x x)
accuracy	0.1171875	(/.f64 #s(literal 1 binary64) #s(approx (cos (/ x (* y 2))) (fma.f64 (/.f64 (.f64 x x) (.f64 y y)) #s(literal -1/8 binary64) #s(literal 1 binary64))))
accuracy	16.22377605611848	(/.f64 (.f64 x x) (.f64 y y))
accuracy	32.437329978275564	#s(approx (cos (/ x (* y 2))) (fma.f64 (/.f64 (.f64 x x) (.f64 y y)) #s(literal -1/8 binary64) #s(literal 1 binary64)))
accuracy	0.1171875	(/.f64 #s(literal 1 binary64) (cos.f64 (.f64 (pow.f64 (.f64 y #s(literal 2 binary64)) #s(literal -1/2 binary64)) (.f64 x (pow.f64 (.f64 y #s(literal 2 binary64)) #s(literal -1/2 binary64))))))
accuracy	0.20703125	(.f64 x (pow.f64 (.f64 y #s(literal 2 binary64)) #s(literal -1/2 binary64)))
accuracy	0.258476269536884	(.f64 (pow.f64 (.f64 y #s(literal 2 binary64)) #s(literal -1/2 binary64)) (.f64 x (pow.f64 (.f64 y #s(literal 2 binary64)) #s(literal -1/2 binary64))))
accuracy	29.458736191913832	(cos.f64 (.f64 (pow.f64 (.f64 y #s(literal 2 binary64)) #s(literal -1/2 binary64)) (.f64 x (pow.f64 (.f64 y #s(literal 2 binary64)) #s(literal -1/2 binary64)))))

Samples

172.0ms	127×	1	valid
54.0ms	129×	0	valid

Compiler

Compiled 388 to 51 computations (86.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 190.0ms

ival-pow: 55.0ms (29% of total)

ival-div: 35.0ms (18.5% of total)

ival-mult: 28.0ms (14.8% of total)

ival-tan: 28.0ms (14.8% of total)

ival-sin: 18.0ms (9.5% of total)

ival-cos: 12.0ms (6.3% of total)

adjust: 8.0ms (4.2% of total)

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

ival-add: 2.0ms (1.1% of total)

exact: 1.0ms (0.5% of total)

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

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

series129.0ms (0.9%)

Memory

15.3MiB live, 202.4MiB allocated

Counts

27 → 612

Calls

Call 1

Inputs
#s(alt (.f64 (pow.f64 (.f64 y #s(literal 2 binary64)) #s(literal -1/2 binary64)) (.f64 x (pow.f64 (.f64 y #s(literal 2 binary64)) #s(literal -1/2 binary64)))) (patch (.f64 (pow.f64 (.f64 y #s(literal 2 binary64)) #s(literal -1/2 binary64)) (.f64 x (pow.f64 (.f64 y #s(literal 2 binary64)) #s(literal -1/2 binary64)))) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1 binary64) (cos.f64 (.f64 (pow.f64 (.f64 y #s(literal 2 binary64)) #s(literal -1/2 binary64)) (.f64 x (pow.f64 (.f64 y #s(literal 2 binary64)) #s(literal -1/2 binary64)))))) (patch (/.f64 #s(literal 1 binary64) (cos.f64 (.f64 (pow.f64 (.f64 y #s(literal 2 binary64)) #s(literal -1/2 binary64)) (.f64 x (pow.f64 (.f64 y #s(literal 2 binary64)) #s(literal -1/2 binary64)))))) #<representation binary64>) () ())
#s(alt (cos.f64 (.f64 (pow.f64 (.f64 y #s(literal 2 binary64)) #s(literal -1/2 binary64)) (.f64 x (pow.f64 (.f64 y #s(literal 2 binary64)) #s(literal -1/2 binary64))))) (patch (cos.f64 (.f64 (pow.f64 (.f64 y #s(literal 2 binary64)) #s(literal -1/2 binary64)) (.f64 x (pow.f64 (.f64 y #s(literal 2 binary64)) #s(literal -1/2 binary64))))) #<representation binary64>) () ())
#s(alt (pow.f64 (.f64 y #s(literal 2 binary64)) #s(literal -1/2 binary64)) (patch (pow.f64 (.f64 y #s(literal 2 binary64)) #s(literal -1/2 binary64)) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1 binary64) #s(approx (cos (/ x (* y 2))) (fma.f64 (/.f64 (.f64 x x) (.f64 y y)) #s(literal -1/8 binary64) #s(literal 1 binary64)))) (patch (/.f64 #s(literal 1 binary64) #s(approx (cos (/ x (* y 2))) (fma.f64 (/.f64 (.f64 x x) (.f64 y y)) #s(literal -1/8 binary64) #s(literal 1 binary64)))) #<representation binary64>) () ())
#s(alt #s(approx (cos (/ x (* y 2))) (fma.f64 (/.f64 (.f64 x x) (.f64 y y)) #s(literal -1/8 binary64) #s(literal 1 binary64))) (patch #s(approx (cos (/ x (* y 2))) (fma.f64 (/.f64 (.f64 x x) (.f64 y y)) #s(literal -1/8 binary64) #s(literal 1 binary64))) #<representation binary64>) () ())
#s(alt (fma.f64 (/.f64 (.f64 x x) (.f64 y y)) #s(literal -1/8 binary64) #s(literal 1 binary64)) (patch (fma.f64 (/.f64 (.f64 x x) (.f64 y y)) #s(literal -1/8 binary64) #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt (/.f64 (.f64 x x) (.f64 y y)) (patch (/.f64 (.f64 x x) (.f64 y y)) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1/2 binary64) (/.f64 y x)) (patch (/.f64 #s(literal 1/2 binary64) (/.f64 y x)) #<representation binary64>) () ())
#s(alt (/.f64 (tan.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 y x))) (sin.f64 (/.f64 x (.f64 y #s(literal 2 binary64))))) (patch (/.f64 (tan.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 y x))) (sin.f64 (/.f64 x (.f64 y #s(literal 2 binary64))))) #<representation binary64>) () ())
#s(alt (tan.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 y x))) (patch (tan.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 y x))) #<representation binary64>) () ())
#s(alt (/.f64 y x) (patch (/.f64 y x) #<representation binary64>) () ())
#s(alt (/.f64 (.f64 (neg.f64 (.f64 x (.f64 x (.f64 x x)))) (/.f64 #s(literal -1/2 binary64) (.f64 x y))) (.f64 x x)) (patch (/.f64 (.f64 (neg.f64 (.f64 x (.f64 x (.f64 x x)))) (/.f64 #s(literal -1/2 binary64) (.f64 x y))) (.f64 x x)) #<representation binary64>) () ())
#s(alt (/.f64 (.f64 (/.f64 #s(literal -1/2 binary64) y) (neg.f64 (.f64 x x))) x) (patch (/.f64 (.f64 (/.f64 #s(literal -1/2 binary64) y) (neg.f64 (.f64 x x))) x) #<representation binary64>) () ())
#s(alt (.f64 (neg.f64 (.f64 x (.f64 x (.f64 x x)))) (/.f64 #s(literal -1/2 binary64) (.f64 x y))) (patch (.f64 (neg.f64 (.f64 x (.f64 x (.f64 x x)))) (/.f64 #s(literal -1/2 binary64) (.f64 x y))) #<representation binary64>) () ())
#s(alt (.f64 (/.f64 #s(literal -1/2 binary64) y) (neg.f64 (.f64 x x))) (patch (.f64 (/.f64 #s(literal -1/2 binary64) y) (neg.f64 (.f64 x x))) #<representation binary64>) () ())
#s(alt (/.f64 (tan.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) (sin.f64 (.f64 (pow.f64 (.f64 y #s(literal 2 binary64)) #s(literal -3/4 binary64)) (.f64 x (pow.f64 (.f64 y #s(literal 2 binary64)) #s(literal -1/4 binary64)))))) (patch (/.f64 (tan.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) (sin.f64 (.f64 (pow.f64 (.f64 y #s(literal 2 binary64)) #s(literal -3/4 binary64)) (.f64 x (pow.f64 (.f64 y #s(literal 2 binary64)) #s(literal -1/4 binary64)))))) #<representation binary64>) () ())
#s(alt (tan.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) (patch (tan.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) #<representation binary64>) () ())
#s(alt (/.f64 x (.f64 y #s(literal 2 binary64))) (patch (/.f64 x (.f64 y #s(literal 2 binary64))) #<representation binary64>) () ())
#s(alt (.f64 y #s(literal 2 binary64)) (patch (.f64 y #s(literal 2 binary64)) #<representation binary64>) () ())
#s(alt (.f64 x (pow.f64 (.f64 y #s(literal 2 binary64)) #s(literal -1/2 binary64))) (patch (.f64 x (pow.f64 (.f64 y #s(literal 2 binary64)) #s(literal -1/2 binary64))) #<representation binary64>) () ())
#s(alt (.f64 x x) (patch (.f64 x x) #<representation binary64>) () ())
#s(alt (sin.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) (patch (sin.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) #<representation binary64>) () ())
#s(alt (tan.f64 (/.f64 (.f64 (neg.f64 (.f64 x (.f64 x (.f64 x x)))) (/.f64 #s(literal -1/2 binary64) (.f64 x y))) (.f64 x x))) (patch (tan.f64 (/.f64 (.f64 (neg.f64 (.f64 x (.f64 x (.f64 x x)))) (/.f64 #s(literal -1/2 binary64) (.f64 x y))) (.f64 x x))) #<representation binary64>) () ())
#s(alt (sin.f64 (/.f64 (.f64 (/.f64 #s(literal -1/2 binary64) y) (neg.f64 (.f64 x x))) x)) (patch (sin.f64 (/.f64 (.f64 (/.f64 #s(literal -1/2 binary64) y) (neg.f64 (.f64 x x))) x)) #<representation binary64>) () ())
#s(alt (sin.f64 (.f64 (pow.f64 (.f64 y #s(literal 2 binary64)) #s(literal -3/4 binary64)) (.f64 x (pow.f64 (.f64 y #s(literal 2 binary64)) #s(literal -1/4 binary64))))) (patch (sin.f64 (.f64 (pow.f64 (.f64 y #s(literal 2 binary64)) #s(literal -3/4 binary64)) (.f64 x (pow.f64 (.f64 y #s(literal 2 binary64)) #s(literal -1/4 binary64))))) #<representation binary64>) () ())
#s(alt (.f64 (pow.f64 (.f64 y #s(literal 2 binary64)) #s(literal -3/4 binary64)) (.f64 x (pow.f64 (.f64 y #s(literal 2 binary64)) #s(literal -1/4 binary64)))) (patch (.f64 (pow.f64 (.f64 y #s(literal 2 binary64)) #s(literal -3/4 binary64)) (.f64 x (pow.f64 (.f64 y #s(literal 2 binary64)) #s(literal -1/4 binary64)))) #<representation binary64>) () ())

Outputs
#s(alt (/ (* x (pow (sqrt 1/2) 2)) y) (taylor 0 y) (#s(alt (.f64 (pow.f64 (.f64 y #s(literal 2 binary64)) #s(literal -1/2 binary64)) (.f64 x (pow.f64 (.f64 y #s(literal 2 binary64)) #s(literal -1/2 binary64)))) (patch (.f64 (pow.f64 (.f64 y #s(literal 2 binary64)) #s(literal -1/2 binary64)) (.f64 x (pow.f64 (.f64 y #s(literal 2 binary64)) #s(literal -1/2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (/ (* x (pow (sqrt 1/2) 2)) y) (taylor 0 y) (#s(alt (.f64 (pow.f64 (.f64 y #s(literal 2 binary64)) #s(literal -1/2 binary64)) (.f64 x (pow.f64 (.f64 y #s(literal 2 binary64)) #s(literal -1/2 binary64)))) (patch (.f64 (pow.f64 (.f64 y #s(literal 2 binary64)) #s(literal -1/2 binary64)) (.f64 x (pow.f64 (.f64 y #s(literal 2 binary64)) #s(literal -1/2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (/ (* x (pow (sqrt 1/2) 2)) y) (taylor 0 y) (#s(alt (.f64 (pow.f64 (.f64 y #s(literal 2 binary64)) #s(literal -1/2 binary64)) (.f64 x (pow.f64 (.f64 y #s(literal 2 binary64)) #s(literal -1/2 binary64)))) (patch (.f64 (pow.f64 (.f64 y #s(literal 2 binary64)) #s(literal -1/2 binary64)) (.f64 x (pow.f64 (.f64 y #s(literal 2 binary64)) #s(literal -1/2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (/ (* x (pow (sqrt 1/2) 2)) y) (taylor 0 y) (#s(alt (.f64 (pow.f64 (.f64 y #s(literal 2 binary64)) #s(literal -1/2 binary64)) (.f64 x (pow.f64 (.f64 y #s(literal 2 binary64)) #s(literal -1/2 binary64)))) (patch (.f64 (pow.f64 (.f64 y #s(literal 2 binary64)) #s(literal -1/2 binary64)) (.f64 x (pow.f64 (.f64 y #s(literal 2 binary64)) #s(literal -1/2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (/ (* x (pow (sqrt 1/2) 2)) y) (taylor inf y) (#s(alt (.f64 (pow.f64 (.f64 y #s(literal 2 binary64)) #s(literal -1/2 binary64)) (.f64 x (pow.f64 (.f64 y #s(literal 2 binary64)) #s(literal -1/2 binary64)))) (patch (.f64 (pow.f64 (.f64 y #s(literal 2 binary64)) #s(literal -1/2 binary64)) (.f64 x (pow.f64 (.f64 y #s(literal 2 binary64)) #s(literal -1/2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (/ (* x (pow (sqrt 1/2) 2)) y) (taylor inf y) (#s(alt (.f64 (pow.f64 (.f64 y #s(literal 2 binary64)) #s(literal -1/2 binary64)) (.f64 x (pow.f64 (.f64 y #s(literal 2 binary64)) #s(literal -1/2 binary64)))) (patch (.f64 (pow.f64 (.f64 y #s(literal 2 binary64)) #s(literal -1/2 binary64)) (.f64 x (pow.f64 (.f64 y #s(literal 2 binary64)) #s(literal -1/2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (/ (* x (pow (sqrt 1/2) 2)) y) (taylor inf y) (#s(alt (.f64 (pow.f64 (.f64 y #s(literal 2 binary64)) #s(literal -1/2 binary64)) (.f64 x (pow.f64 (.f64 y #s(literal 2 binary64)) #s(literal -1/2 binary64)))) (patch (.f64 (pow.f64 (.f64 y #s(literal 2 binary64)) #s(literal -1/2 binary64)) (.f64 x (pow.f64 (.f64 y #s(literal 2 binary64)) #s(literal -1/2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (/ (* x (pow (sqrt 1/2) 2)) y) (taylor inf y) (#s(alt (.f64 (pow.f64 (.f64 y #s(literal 2 binary64)) #s(literal -1/2 binary64)) (.f64 x (pow.f64 (.f64 y #s(literal 2 binary64)) #s(literal -1/2 binary64)))) (patch (.f64 (pow.f64 (.f64 y #s(literal 2 binary64)) #s(literal -1/2 binary64)) (.f64 x (pow.f64 (.f64 y #s(literal 2 binary64)) #s(literal -1/2 binary64)))) #<representation binary64>) () ())) ())
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#s(alt (* (pow 1/16 1/4) (/ x y)) (taylor inf x) (#s(alt (.f64 (pow.f64 (.f64 y #s(literal 2 binary64)) #s(literal -3/4 binary64)) (.f64 x (pow.f64 (.f64 y #s(literal 2 binary64)) #s(literal -1/4 binary64)))) (patch (.f64 (pow.f64 (.f64 y #s(literal 2 binary64)) #s(literal -3/4 binary64)) (.f64 x (pow.f64 (.f64 y #s(literal 2 binary64)) #s(literal -1/4 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* (pow 1/16 1/4) (/ x y)) (taylor inf x) (#s(alt (.f64 (pow.f64 (.f64 y #s(literal 2 binary64)) #s(literal -3/4 binary64)) (.f64 x (pow.f64 (.f64 y #s(literal 2 binary64)) #s(literal -1/4 binary64)))) (patch (.f64 (pow.f64 (.f64 y #s(literal 2 binary64)) #s(literal -3/4 binary64)) (.f64 x (pow.f64 (.f64 y #s(literal 2 binary64)) #s(literal -1/4 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* (pow 1/16 1/4) (/ x y)) (taylor inf x) (#s(alt (.f64 (pow.f64 (.f64 y #s(literal 2 binary64)) #s(literal -3/4 binary64)) (.f64 x (pow.f64 (.f64 y #s(literal 2 binary64)) #s(literal -1/4 binary64)))) (patch (.f64 (pow.f64 (.f64 y #s(literal 2 binary64)) #s(literal -3/4 binary64)) (.f64 x (pow.f64 (.f64 y #s(literal 2 binary64)) #s(literal -1/4 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* (pow 1/16 1/4) (/ x y)) (taylor -inf x) (#s(alt (.f64 (pow.f64 (.f64 y #s(literal 2 binary64)) #s(literal -3/4 binary64)) (.f64 x (pow.f64 (.f64 y #s(literal 2 binary64)) #s(literal -1/4 binary64)))) (patch (.f64 (pow.f64 (.f64 y #s(literal 2 binary64)) #s(literal -3/4 binary64)) (.f64 x (pow.f64 (.f64 y #s(literal 2 binary64)) #s(literal -1/4 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* (pow 1/16 1/4) (/ x y)) (taylor -inf x) (#s(alt (.f64 (pow.f64 (.f64 y #s(literal 2 binary64)) #s(literal -3/4 binary64)) (.f64 x (pow.f64 (.f64 y #s(literal 2 binary64)) #s(literal -1/4 binary64)))) (patch (.f64 (pow.f64 (.f64 y #s(literal 2 binary64)) #s(literal -3/4 binary64)) (.f64 x (pow.f64 (.f64 y #s(literal 2 binary64)) #s(literal -1/4 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* (pow 1/16 1/4) (/ x y)) (taylor -inf x) (#s(alt (.f64 (pow.f64 (.f64 y #s(literal 2 binary64)) #s(literal -3/4 binary64)) (.f64 x (pow.f64 (.f64 y #s(literal 2 binary64)) #s(literal -1/4 binary64)))) (patch (.f64 (pow.f64 (.f64 y #s(literal 2 binary64)) #s(literal -3/4 binary64)) (.f64 x (pow.f64 (.f64 y #s(literal 2 binary64)) #s(literal -1/4 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* (pow 1/16 1/4) (/ x y)) (taylor -inf x) (#s(alt (.f64 (pow.f64 (.f64 y #s(literal 2 binary64)) #s(literal -3/4 binary64)) (.f64 x (pow.f64 (.f64 y #s(literal 2 binary64)) #s(literal -1/4 binary64)))) (patch (.f64 (pow.f64 (.f64 y #s(literal 2 binary64)) #s(literal -3/4 binary64)) (.f64 x (pow.f64 (.f64 y #s(literal 2 binary64)) #s(literal -1/4 binary64)))) #<representation binary64>) () ())) ())

Calls

153 calls:

Time	Variable		Point	Expression
33.0ms	y	@	0	(* (pow (* y 2) -3/4) (* x (pow (* y 2) -1/4)))
15.0ms	y	@	-inf	(* (pow (* y 2) -3/4) (* x (pow (* y 2) -1/4)))
7.0ms	y	@	inf	(* (pow (* y 2) -3/4) (* x (pow (* y 2) -1/4)))
7.0ms	x	@	-inf	(/ 1 (cos (* (pow (* y 2) -1/2) (* x (pow (* y 2) -1/2)))))
7.0ms	x	@	0	(* (pow (* y 2) -3/4) (* x (pow (* y 2) -1/4)))

simplify435.0ms (2.9%)

Memory

-10.5MiB live, 465.5MiB allocated

Algorithm

1×	egg-herbie

Rules

10 292×	`lower-fma.f64`
10 292×	`lower-fma.f32`
6 464×	`lower-*.f64`
6 464×	`lower-*.f32`
4 138×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	720	9605
1	2197	8806
2	7928	8776
0	8213	8436

Stop Event

1×	iter limit
1×	node limit

Counts

612 → 612

Calls

Call 1

Inputs
(/ (* x (pow (sqrt 1/2) 2)) y)
(/ (* x (pow (sqrt 1/2) 2)) y)
(/ (* x (pow (sqrt 1/2) 2)) y)
(/ (* x (pow (sqrt 1/2) 2)) y)
(/ (* x (pow (sqrt 1/2) 2)) y)
(/ (* x (pow (sqrt 1/2) 2)) y)
(/ (* x (pow (sqrt 1/2) 2)) y)
(/ (* x (pow (sqrt 1/2) 2)) y)
(* -1 (/ (* x (pow (sqrt -1/2) 2)) y))
(* -1 (/ (* x (pow (sqrt -1/2) 2)) y))
(* -1 (/ (* x (pow (sqrt -1/2) 2)) y))
(* -1 (/ (* x (pow (sqrt -1/2) 2)) y))
(/ (* x (pow (sqrt 1/2) 2)) y)
(/ (* x (pow (sqrt 1/2) 2)) y)
(/ (* x (pow (sqrt 1/2) 2)) y)
(/ (* x (pow (sqrt 1/2) 2)) y)
(/ (* x (pow (sqrt 1/2) 2)) y)
(/ (* x (pow (sqrt 1/2) 2)) y)
(/ (* x (pow (sqrt 1/2) 2)) y)
(/ (* x (pow (sqrt 1/2) 2)) y)
(/ (* x (pow (sqrt 1/2) 2)) y)
(/ (* x (pow (sqrt 1/2) 2)) y)
(/ (* x (pow (sqrt 1/2) 2)) y)
(/ (* x (pow (sqrt 1/2) 2)) y)
(/ 1 (cos (/ (* x (pow (sqrt 1/2) 2)) y)))
(/ 1 (cos (/ (* x (pow (sqrt 1/2) 2)) y)))
(/ 1 (cos (/ (* x (pow (sqrt 1/2) 2)) y)))
(/ 1 (cos (/ (* x (pow (sqrt 1/2) 2)) y)))
1
(+ 1 (* 1/2 (/ (* (pow x 2) (pow (sqrt 1/2) 4)) (pow y 2))))
(- (+ 1 (* -1 (/ (+ (* -1/4 (* (pow x 4) (pow (sqrt 1/2) 8))) (* 1/24 (* (pow x 4) (pow (sqrt 1/2) 8)))) (pow y 4)))) (* -1/2 (/ (* (pow x 2) (pow (sqrt 1/2) 4)) (pow y 2))))
(- (+ 1 (* -1 (/ (+ (* -1/720 (* (pow x 6) (pow (sqrt 1/2) 12))) (+ (* 1/48 (* (pow x 6) (pow (sqrt 1/2) 12))) (* 1/2 (* (pow x 2) (* (pow (sqrt 1/2) 4) (+ (* -1/4 (* (pow x 4) (pow (sqrt 1/2) 8))) (* 1/24 (* (pow x 4) (pow (sqrt 1/2) 8))))))))) (pow y 6)))) (+ (* -1/2 (/ (* (pow x 2) (pow (sqrt 1/2) 4)) (pow y 2))) (+ (* -1/4 (/ (* (pow x 4) (pow (sqrt 1/2) 8)) (pow y 4))) (* 1/24 (/ (* (pow x 4) (pow (sqrt 1/2) 8)) (pow y 4))))))
1
(+ 1 (* 1/2 (/ (* (pow x 2) (pow (sqrt -1/2) 4)) (pow y 2))))
(- (+ 1 (* -1 (/ (+ (* -1/4 (* (pow x 4) (pow (sqrt -1/2) 8))) (* 1/24 (* (pow x 4) (pow (sqrt -1/2) 8)))) (pow y 4)))) (* -1/2 (/ (* (pow x 2) (pow (sqrt -1/2) 4)) (pow y 2))))
(- (+ 1 (* -1 (/ (+ (* -1/720 (* (pow x 6) (pow (sqrt -1/2) 12))) (+ (* 1/48 (* (pow x 6) (pow (sqrt -1/2) 12))) (* 1/2 (* (pow x 2) (* (pow (sqrt -1/2) 4) (+ (* -1/4 (* (pow x 4) (pow (sqrt -1/2) 8))) (* 1/24 (* (pow x 4) (pow (sqrt -1/2) 8))))))))) (pow y 6)))) (+ (* -1/2 (/ (* (pow x 2) (pow (sqrt -1/2) 4)) (pow y 2))) (+ (* -1/4 (/ (* (pow x 4) (pow (sqrt -1/2) 8)) (pow y 4))) (* 1/24 (/ (* (pow x 4) (pow (sqrt -1/2) 8)) (pow y 4))))))
1
(+ 1 (* 1/2 (/ (* (pow x 2) (pow (sqrt 1/2) 4)) (pow y 2))))
(+ 1 (* (pow x 2) (- (* -1 (* (pow x 2) (+ (* -1/4 (/ (pow (sqrt 1/2) 8) (pow y 4))) (* 1/24 (/ (pow (sqrt 1/2) 8) (pow y 4)))))) (* -1/2 (/ (pow (sqrt 1/2) 4) (pow y 2))))))
(+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -1 (* (pow x 2) (+ (* -1/720 (/ (pow (sqrt 1/2) 12) (pow y 6))) (+ (* 1/48 (/ (pow (sqrt 1/2) 12) (pow y 6))) (* 1/2 (/ (* (pow (sqrt 1/2) 4) (+ (* -1/4 (/ (pow (sqrt 1/2) 8) (pow y 4))) (* 1/24 (/ (pow (sqrt 1/2) 8) (pow y 4))))) (pow y 2))))))) (+ (* -1/4 (/ (pow (sqrt 1/2) 8) (pow y 4))) (* 1/24 (/ (pow (sqrt 1/2) 8) (pow y 4)))))) (* -1/2 (/ (pow (sqrt 1/2) 4) (pow y 2))))))
(/ 1 (cos (/ (* x (pow (sqrt 1/2) 2)) y)))
(/ 1 (cos (/ (* x (pow (sqrt 1/2) 2)) y)))
(/ 1 (cos (/ (* x (pow (sqrt 1/2) 2)) y)))
(/ 1 (cos (/ (* x (pow (sqrt 1/2) 2)) y)))
(/ 1 (cos (/ (* x (pow (sqrt 1/2) 2)) y)))
(/ 1 (cos (/ (* x (pow (sqrt 1/2) 2)) y)))
(/ 1 (cos (/ (* x (pow (sqrt 1/2) 2)) y)))
(/ 1 (cos (/ (* x (pow (sqrt 1/2) 2)) y)))
(cos (/ (* x (pow (sqrt 1/2) 2)) y))
(cos (/ (* x (pow (sqrt 1/2) 2)) y))
(cos (/ (* x (pow (sqrt 1/2) 2)) y))
(cos (/ (* x (pow (sqrt 1/2) 2)) y))
1
(+ 1 (* -1/2 (/ (* (pow x 2) (pow (sqrt 1/2) 4)) (pow y 2))))
(+ 1 (+ (* -1/2 (/ (* (pow x 2) (pow (sqrt 1/2) 4)) (pow y 2))) (* 1/24 (/ (* (pow x 4) (pow (sqrt 1/2) 8)) (pow y 4)))))
(+ 1 (+ (* -1/2 (/ (* (pow x 2) (pow (sqrt 1/2) 4)) (pow y 2))) (+ (* -1/720 (/ (* (pow x 6) (pow (sqrt 1/2) 12)) (pow y 6))) (* 1/24 (/ (* (pow x 4) (pow (sqrt 1/2) 8)) (pow y 4))))))
1
(+ 1 (* -1/2 (/ (* (pow x 2) (pow (sqrt -1/2) 4)) (pow y 2))))
(+ 1 (+ (* -1/2 (/ (* (pow x 2) (pow (sqrt -1/2) 4)) (pow y 2))) (* 1/24 (/ (* (pow x 4) (pow (sqrt -1/2) 8)) (pow y 4)))))
(+ 1 (+ (* -1/2 (/ (* (pow x 2) (pow (sqrt -1/2) 4)) (pow y 2))) (+ (* -1/720 (/ (* (pow x 6) (pow (sqrt -1/2) 12)) (pow y 6))) (* 1/24 (/ (* (pow x 4) (pow (sqrt -1/2) 8)) (pow y 4))))))
1
(+ 1 (* -1/2 (/ (* (pow x 2) (pow (sqrt 1/2) 4)) (pow y 2))))
(+ 1 (* (pow x 2) (+ (* -1/2 (/ (pow (sqrt 1/2) 4) (pow y 2))) (* 1/24 (/ (* (pow x 2) (pow (sqrt 1/2) 8)) (pow y 4))))))
(+ 1 (* (pow x 2) (+ (* -1/2 (/ (pow (sqrt 1/2) 4) (pow y 2))) (* (pow x 2) (+ (* -1/720 (/ (* (pow x 2) (pow (sqrt 1/2) 12)) (pow y 6))) (* 1/24 (/ (pow (sqrt 1/2) 8) (pow y 4))))))))
(cos (/ (* x (pow (sqrt 1/2) 2)) y))
(cos (/ (* x (pow (sqrt 1/2) 2)) y))
(cos (/ (* x (pow (sqrt 1/2) 2)) y))
(cos (/ (* x (pow (sqrt 1/2) 2)) y))
(cos (/ (* x (pow (sqrt 1/2) 2)) y))
(cos (/ (* x (pow (sqrt 1/2) 2)) y))
(cos (/ (* x (pow (sqrt 1/2) 2)) y))
(cos (/ (* x (pow (sqrt 1/2) 2)) y))
(* (sqrt (/ 1 y)) (sqrt 1/2))
(* (sqrt (/ 1 y)) (sqrt 1/2))
(* (sqrt (/ 1 y)) (sqrt 1/2))
(* (sqrt (/ 1 y)) (sqrt 1/2))
(* (sqrt (/ 1 y)) (sqrt 1/2))
(* (sqrt (/ 1 y)) (sqrt 1/2))
(* (sqrt (/ 1 y)) (sqrt 1/2))
(* (sqrt (/ 1 y)) (sqrt 1/2))
(* (sqrt (/ 1 y)) (* (sqrt -1) (sqrt -1/2)))
(* (sqrt (/ 1 y)) (* (sqrt -1) (sqrt -1/2)))
(* (sqrt (/ 1 y)) (* (sqrt -1) (sqrt -1/2)))
(* (sqrt (/ 1 y)) (* (sqrt -1) (sqrt -1/2)))
1
(+ 1 (* 1/8 (/ (pow x 2) (pow y 2))))
(+ 1 (* (pow x 2) (+ (* 5/384 (/ (pow x 2) (pow y 4))) (* 1/8 (/ 1 (pow y 2))))))
(+ 1 (* (pow x 2) (+ (* (pow x 2) (+ (* 61/46080 (/ (pow x 2) (pow y 6))) (* 5/384 (/ 1 (pow y 4))))) (* 1/8 (/ 1 (pow y 2))))))
(/ 1 (cos (* 1/2 (/ x y))))
(/ 1 (cos (* 1/2 (/ x y))))
(/ 1 (cos (* 1/2 (/ x y))))
(/ 1 (cos (* 1/2 (/ x y))))
(/ 1 (cos (* 1/2 (/ x y))))
(/ 1 (cos (* 1/2 (/ x y))))
(/ 1 (cos (* 1/2 (/ x y))))
(/ 1 (cos (* 1/2 (/ x y))))
(/ 1 (cos (* 1/2 (/ x y))))
(/ 1 (cos (* 1/2 (/ x y))))
(/ 1 (cos (* 1/2 (/ x y))))
(/ 1 (cos (* 1/2 (/ x y))))
1
(+ 1 (* 1/8 (/ (pow x 2) (pow y 2))))
(- (+ 1 (* -1 (/ (+ (* -1/64 (pow x 4)) (* 1/384 (pow x 4))) (pow y 4)))) (* -1/8 (/ (pow x 2) (pow y 2))))
(- (+ 1 (* -1 (/ (+ (* -1/46080 (pow x 6)) (+ (* 1/3072 (pow x 6)) (* 1/8 (* (pow x 2) (+ (* -1/64 (pow x 4)) (* 1/384 (pow x 4))))))) (pow y 6)))) (+ (* -1/8 (/ (pow x 2) (pow y 2))) (+ (* -1/64 (/ (pow x 4) (pow y 4))) (* 1/384 (/ (pow x 4) (pow y 4))))))
1
(+ 1 (* 1/8 (/ (pow x 2) (pow y 2))))
(- (+ 1 (* -1 (/ (+ (* -1/64 (pow x 4)) (* 1/384 (pow x 4))) (pow y 4)))) (* -1/8 (/ (pow x 2) (pow y 2))))
(- (+ 1 (* -1 (/ (+ (* -1/46080 (pow x 6)) (+ (* 1/3072 (pow x 6)) (* 1/8 (* (pow x 2) (+ (* -1/64 (pow x 4)) (* 1/384 (pow x 4))))))) (pow y 6)))) (+ (* -1/8 (/ (pow x 2) (pow y 2))) (+ (* -1/64 (/ (pow x 4) (pow y 4))) (* 1/384 (/ (pow x 4) (pow y 4))))))
1
(+ 1 (* -1/8 (/ (pow x 2) (pow y 2))))
(+ 1 (* (pow x 2) (- (* 1/384 (/ (pow x 2) (pow y 4))) (* 1/8 (/ 1 (pow y 2))))))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ (* -1/46080 (/ (pow x 2) (pow y 6))) (* 1/384 (/ 1 (pow y 4))))) (* 1/8 (/ 1 (pow y 2))))))
(cos (* 1/2 (/ x y)))
(cos (* 1/2 (/ x y)))
(cos (* 1/2 (/ x y)))
(cos (* 1/2 (/ x y)))
(cos (* 1/2 (/ x y)))
(cos (* 1/2 (/ x y)))
(cos (* 1/2 (/ x y)))
(cos (* 1/2 (/ x y)))
(cos (* 1/2 (/ x y)))
(cos (* 1/2 (/ x y)))
(cos (* 1/2 (/ x y)))
(cos (* 1/2 (/ x y)))
1
(+ 1 (* -1/8 (/ (pow x 2) (pow y 2))))
(+ 1 (+ (* -1/8 (/ (pow x 2) (pow y 2))) (* 1/384 (/ (pow x 4) (pow y 4)))))
(+ 1 (+ (* -1/8 (/ (pow x 2) (pow y 2))) (+ (* -1/46080 (/ (pow x 6) (pow y 6))) (* 1/384 (/ (pow x 4) (pow y 4))))))
1
(+ 1 (* -1/8 (/ (pow x 2) (pow y 2))))
(+ 1 (+ (* -1/8 (/ (pow x 2) (pow y 2))) (* 1/384 (/ (pow x 4) (pow y 4)))))
(+ 1 (+ (* -1/8 (/ (pow x 2) (pow y 2))) (+ (* -1/46080 (/ (pow x 6) (pow y 6))) (* 1/384 (/ (pow x 4) (pow y 4))))))
1
(+ 1 (* -1/8 (/ (pow x 2) (pow y 2))))
(+ 1 (* -1/8 (/ (pow x 2) (pow y 2))))
(+ 1 (* -1/8 (/ (pow x 2) (pow y 2))))
(* -1/8 (/ (pow x 2) (pow y 2)))
(* (pow x 2) (- (/ 1 (pow x 2)) (* 1/8 (/ 1 (pow y 2)))))
(* (pow x 2) (- (/ 1 (pow x 2)) (* 1/8 (/ 1 (pow y 2)))))
(* (pow x 2) (- (/ 1 (pow x 2)) (* 1/8 (/ 1 (pow y 2)))))
(* -1/8 (/ (pow x 2) (pow y 2)))
(* (pow x 2) (- (/ 1 (pow x 2)) (* 1/8 (/ 1 (pow y 2)))))
(* (pow x 2) (- (/ 1 (pow x 2)) (* 1/8 (/ 1 (pow y 2)))))
(* (pow x 2) (- (/ 1 (pow x 2)) (* 1/8 (/ 1 (pow y 2)))))
(* -1/8 (/ (pow x 2) (pow y 2)))
(/ (+ (* -1/8 (pow x 2)) (pow y 2)) (pow y 2))
(/ (+ (* -1/8 (pow x 2)) (pow y 2)) (pow y 2))
(/ (+ (* -1/8 (pow x 2)) (pow y 2)) (pow y 2))
1
(+ 1 (* -1/8 (/ (pow x 2) (pow y 2))))
(+ 1 (* -1/8 (/ (pow x 2) (pow y 2))))
(+ 1 (* -1/8 (/ (pow x 2) (pow y 2))))
1
(+ 1 (* -1/8 (/ (pow x 2) (pow y 2))))
(+ 1 (* -1/8 (/ (pow x 2) (pow y 2))))
(+ 1 (* -1/8 (/ (pow x 2) (pow y 2))))
(/ (pow x 2) (pow y 2))
(/ (pow x 2) (pow y 2))
(/ (pow x 2) (pow y 2))
(/ (pow x 2) (pow y 2))
(/ (pow x 2) (pow y 2))
(/ (pow x 2) (pow y 2))
(/ (pow x 2) (pow y 2))
(/ (pow x 2) (pow y 2))
(/ (pow x 2) (pow y 2))
(/ (pow x 2) (pow y 2))
(/ (pow x 2) (pow y 2))
(/ (pow x 2) (pow y 2))
(/ (pow x 2) (pow y 2))
(/ (pow x 2) (pow y 2))
(/ (pow x 2) (pow y 2))
(/ (pow x 2) (pow y 2))
(/ (pow x 2) (pow y 2))
(/ (pow x 2) (pow y 2))
(/ (pow x 2) (pow y 2))
(/ (pow x 2) (pow y 2))
(/ (pow x 2) (pow y 2))
(/ (pow x 2) (pow y 2))
(/ (pow x 2) (pow y 2))
(/ (pow x 2) (pow y 2))
(* 1/2 (/ x y))
(* 1/2 (/ x y))
(* 1/2 (/ x y))
(* 1/2 (/ x y))
(* 1/2 (/ x y))
(* 1/2 (/ x y))
(* 1/2 (/ x y))
(* 1/2 (/ x y))
(* 1/2 (/ x y))
(* 1/2 (/ x y))
(* 1/2 (/ x y))
(* 1/2 (/ x y))
(* 1/2 (/ x y))
(* 1/2 (/ x y))
(* 1/2 (/ x y))
(* 1/2 (/ x y))
(* 1/2 (/ x y))
(* 1/2 (/ x y))
(* 1/2 (/ x y))
(* 1/2 (/ x y))
(* 1/2 (/ x y))
(* 1/2 (/ x y))
(* 1/2 (/ x y))
(* 1/2 (/ x y))
(/ 1 (cos (* 1/2 (/ x y))))
(/ 1 (cos (* 1/2 (/ x y))))
(/ 1 (cos (* 1/2 (/ x y))))
(/ 1 (cos (* 1/2 (/ x y))))
1
(- (+ 1 (* 2 (/ (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3))) (* x (pow y 2))))) (* -1/24 (/ (pow x 2) (pow y 2))))
(- (+ 1 (+ (* 2 (/ (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3))) (* x (pow y 2)))) (* 2 (/ (- (* 1/3840 (pow x 5)) (+ (* -1/8 (* (pow x 2) (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3))))) (* 1/768 (pow x 5)))) (* x (pow y 4)))))) (+ (* -1/24 (/ (* (pow x 2) (- (* 2 (/ (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3))) x)) (* -1/24 (pow x 2)))) (pow y 4))) (+ (* -1/24 (/ (pow x 2) (pow y 2))) (* 1/1920 (/ (pow x 4) (pow y 4))))))
(- (+ 1 (+ (* 2 (/ (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3))) (* x (pow y 2)))) (+ (* 2 (/ (- (* -1/645120 (pow x 7)) (+ (* -1/8 (* (pow x 2) (- (* 1/3840 (pow x 5)) (+ (* -1/8 (* (pow x 2) (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3))))) (* 1/768 (pow x 5)))))) (+ (* -1/92160 (pow x 7)) (* 1/384 (* (pow x 4) (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3)))))))) (* x (pow y 6)))) (* 2 (/ (- (* 1/3840 (pow x 5)) (+ (* -1/8 (* (pow x 2) (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3))))) (* 1/768 (pow x 5)))) (* x (pow y 4))))))) (+ (* -1/24 (/ (* (pow x 2) (- (* 2 (/ (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3))) x)) (* -1/24 (pow x 2)))) (pow y 4))) (+ (* -1/24 (/ (* (pow x 2) (- (* 2 (/ (- (* 1/3840 (pow x 5)) (+ (* -1/8 (* (pow x 2) (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3))))) (* 1/768 (pow x 5)))) x)) (+ (* -1/24 (* (pow x 2) (- (* 2 (/ (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3))) x)) (* -1/24 (pow x 2))))) (* 1/1920 (pow x 4))))) (pow y 6))) (+ (* -1/24 (/ (pow x 2) (pow y 2))) (+ (* -1/322560 (/ (pow x 6) (pow y 6))) (+ (* 1/1920 (/ (* (pow x 4) (- (* 2 (/ (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3))) x)) (* -1/24 (pow x 2)))) (pow y 6))) (* 1/1920 (/ (pow x 4) (pow y 4)))))))))
1
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(* 1/2 (/ x y))
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(* 1/2 (/ x y))
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(* 1/2 (/ x y))
(* 1/2 (/ x y))
(* 1/2 (/ x y))
(* 1/2 (/ x y))
(* 1/2 (/ x y))
(* 1/2 (/ x y))
(* 1/2 (/ x y))
(* 1/2 (/ x y))
(* 1/2 (/ x y))
(* 1/2 (/ x y))
(* 2 y)
(* 2 y)
(* 2 y)
(* 2 y)
(* 2 y)
(* 2 y)
(* 2 y)
(* 2 y)
(* 2 y)
(* 2 y)
(* 2 y)
(* 2 y)
(* (* x (sqrt 1/2)) (sqrt (/ 1 y)))
(* (* x (sqrt 1/2)) (sqrt (/ 1 y)))
(* (* x (sqrt 1/2)) (sqrt (/ 1 y)))
(* (* x (sqrt 1/2)) (sqrt (/ 1 y)))
(* (* x (sqrt 1/2)) (sqrt (/ 1 y)))
(* (* x (sqrt 1/2)) (sqrt (/ 1 y)))
(* (* x (sqrt 1/2)) (sqrt (/ 1 y)))
(* (* x (sqrt 1/2)) (sqrt (/ 1 y)))
(* (* x (sqrt 1/2)) (sqrt (/ 1 y)))
(* (* x (sqrt 1/2)) (sqrt (/ 1 y)))
(* (* x (sqrt 1/2)) (sqrt (/ 1 y)))
(* (* x (sqrt 1/2)) (sqrt (/ 1 y)))
(* (* x (sqrt 1/2)) (sqrt (/ 1 y)))
(* (* x (sqrt 1/2)) (sqrt (/ 1 y)))
(* (* x (sqrt 1/2)) (sqrt (/ 1 y)))
(* (* x (sqrt 1/2)) (sqrt (/ 1 y)))
(* (* x (sqrt 1/2)) (sqrt (/ 1 y)))
(* (* x (sqrt 1/2)) (sqrt (/ 1 y)))
(* (* x (sqrt 1/2)) (sqrt (/ 1 y)))
(* (* x (sqrt 1/2)) (sqrt (/ 1 y)))
(* (* x (* (sqrt -1) (sqrt -1/2))) (sqrt (/ 1 y)))
(* (* x (* (sqrt -1) (sqrt -1/2))) (sqrt (/ 1 y)))
(* (* x (* (sqrt -1) (sqrt -1/2))) (sqrt (/ 1 y)))
(* (* x (* (sqrt -1) (sqrt -1/2))) (sqrt (/ 1 y)))
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
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(pow x 2)
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(* 1/2 (/ x y))
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(* x (+ (* (pow x 2) (- (* (pow x 2) (+ (* -1/645120 (/ (pow x 2) (pow y 7))) (* 1/3840 (/ 1 (pow y 5))))) (* 1/48 (/ 1 (pow y 3))))) (* 1/2 (/ 1 y))))
(sin (* 1/2 (/ x y)))
(sin (* 1/2 (/ x y)))
(sin (* 1/2 (/ x y)))
(sin (* 1/2 (/ x y)))
(sin (* 1/2 (/ x y)))
(sin (* 1/2 (/ x y)))
(sin (* 1/2 (/ x y)))
(sin (* 1/2 (/ x y)))
(sin (* 1/2 (/ x y)))
(sin (* 1/2 (/ x y)))
(sin (* 1/2 (/ x y)))
(sin (* 1/2 (/ x y)))
(* 1/2 (/ x y))
(/ (+ (* -1/48 (/ (pow x 3) (pow y 2))) (* 1/2 x)) y)
(/ (+ (* -1/48 (/ (pow x 3) (pow y 2))) (+ (* 1/3840 (/ (pow x 5) (pow y 4))) (* 1/2 x))) y)
(/ (+ (* -1/48 (/ (pow x 3) (pow y 2))) (+ (* -1/645120 (/ (pow x 7) (pow y 6))) (+ (* 1/3840 (/ (pow x 5) (pow y 4))) (* 1/2 x)))) y)
(* 1/2 (/ x y))
(* -1 (/ (+ (* -1/2 x) (* 1/48 (/ (pow x 3) (pow y 2)))) y))
(* -1 (/ (+ (* -1/2 x) (+ (* -1/3840 (/ (pow x 5) (pow y 4))) (* 1/48 (/ (pow x 3) (pow y 2))))) y))
(* -1 (/ (+ (* -1/2 x) (+ (* -1/3840 (/ (pow x 5) (pow y 4))) (+ (* 1/645120 (/ (pow x 7) (pow y 6))) (* 1/48 (/ (pow x 3) (pow y 2)))))) y))
(* 1/2 (/ x y))
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(* x (+ (* (pow x 2) (+ (* 1/240 (/ (pow x 2) (pow y 5))) (* 1/24 (/ 1 (pow y 3))))) (* 1/2 (/ 1 y))))
(* x (+ (* (pow x 2) (+ (* (pow x 2) (+ (* 17/40320 (/ (pow x 2) (pow y 7))) (* 1/240 (/ 1 (pow y 5))))) (* 1/24 (/ 1 (pow y 3))))) (* 1/2 (/ 1 y))))
(/ (sin (* 1/2 (/ x y))) (cos (* 1/2 (/ x y))))
(/ (sin (* 1/2 (/ x y))) (cos (* 1/2 (/ x y))))
(/ (sin (* 1/2 (/ x y))) (cos (* 1/2 (/ x y))))
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(/ (sin (* 1/2 (/ x y))) (cos (* 1/2 (/ x y))))
(/ (sin (* 1/2 (/ x y))) (cos (* 1/2 (/ x y))))
(/ (sin (* 1/2 (/ x y))) (cos (* 1/2 (/ x y))))
(/ (sin (* 1/2 (/ x y))) (cos (* 1/2 (/ x y))))
(/ (sin (* 1/2 (/ x y))) (cos (* 1/2 (/ x y))))
(/ (sin (* 1/2 (/ x y))) (cos (* 1/2 (/ x y))))
(/ (sin (* 1/2 (/ x y))) (cos (* 1/2 (/ x y))))
(/ (sin (* 1/2 (/ x y))) (cos (* 1/2 (/ x y))))
(* 1/2 (/ x y))
(/ (- (+ (* -1/48 (/ (pow x 3) (pow y 2))) (* 1/2 x)) (* -1/16 (/ (pow x 3) (pow y 2)))) y)
(/ (- (+ (* -1/48 (/ (pow x 3) (pow y 2))) (+ (* 1/3840 (/ (pow x 5) (pow y 4))) (* 1/2 x))) (+ (* -1/8 (/ (* (pow x 2) (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3)))) (pow y 4))) (+ (* -1/16 (/ (pow x 3) (pow y 2))) (* 1/768 (/ (pow x 5) (pow y 4)))))) y)
(/ (- (+ (* -1/48 (/ (pow x 3) (pow y 2))) (+ (* -1/645120 (/ (pow x 7) (pow y 6))) (+ (* 1/3840 (/ (pow x 5) (pow y 4))) (* 1/2 x)))) (+ (* -1/8 (/ (* (pow x 2) (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3)))) (pow y 4))) (+ (* -1/8 (/ (* (pow x 2) (- (* 1/3840 (pow x 5)) (+ (* -1/8 (* (pow x 2) (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3))))) (* 1/768 (pow x 5))))) (pow y 6))) (+ (* -1/16 (/ (pow x 3) (pow y 2))) (+ (* -1/92160 (/ (pow x 7) (pow y 6))) (+ (* 1/768 (/ (pow x 5) (pow y 4))) (* 1/384 (/ (* (pow x 4) (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3)))) (pow y 6))))))))) y)
(* 1/2 (/ x y))
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(* -1 (/ (- (+ (* -1/2 x) (+ (* -1/3840 (/ (pow x 5) (pow y 4))) (* 1/48 (/ (pow x 3) (pow y 2))))) (+ (* -1/8 (/ (* (pow x 2) (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3)))) (pow y 4))) (+ (* -1/768 (/ (pow x 5) (pow y 4))) (* 1/16 (/ (pow x 3) (pow y 2)))))) y))
(* -1 (/ (- (+ (* -1/2 x) (+ (* -1/3840 (/ (pow x 5) (pow y 4))) (+ (* 1/645120 (/ (pow x 7) (pow y 6))) (* 1/48 (/ (pow x 3) (pow y 2)))))) (+ (* -1/8 (/ (* (pow x 2) (- (* -1/3840 (pow x 5)) (+ (* -1/8 (* (pow x 2) (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3))))) (* -1/768 (pow x 5))))) (pow y 6))) (+ (* -1/8 (/ (* (pow x 2) (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3)))) (pow y 4))) (+ (* -1/768 (/ (pow x 5) (pow y 4))) (+ (* 1/92160 (/ (pow x 7) (pow y 6))) (+ (* 1/384 (/ (* (pow x 4) (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3)))) (pow y 6))) (* 1/16 (/ (pow x 3) (pow y 2))))))))) y))
(sin (* 1/2 (/ x y)))
(sin (* 1/2 (/ x y)))
(sin (* 1/2 (/ x y)))
(sin (* 1/2 (/ x y)))
(* 1/2 (/ x y))
(/ (+ (* -1/48 (/ (pow x 3) (pow y 2))) (* 1/2 x)) y)
(/ (+ (* -1/48 (/ (pow x 3) (pow y 2))) (+ (* 1/3840 (/ (pow x 5) (pow y 4))) (* 1/2 x))) y)
(/ (+ (* -1/48 (/ (pow x 3) (pow y 2))) (+ (* -1/645120 (/ (pow x 7) (pow y 6))) (+ (* 1/3840 (/ (pow x 5) (pow y 4))) (* 1/2 x)))) y)
(* 1/2 (/ x y))
(* -1 (/ (+ (* -1/2 x) (* 1/48 (/ (pow x 3) (pow y 2)))) y))
(* -1 (/ (+ (* -1/2 x) (+ (* -1/3840 (/ (pow x 5) (pow y 4))) (* 1/48 (/ (pow x 3) (pow y 2))))) y))
(* -1 (/ (+ (* -1/2 x) (+ (* -1/3840 (/ (pow x 5) (pow y 4))) (+ (* 1/645120 (/ (pow x 7) (pow y 6))) (* 1/48 (/ (pow x 3) (pow y 2)))))) y))
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(* x (+ (* (pow x 2) (- (* (pow x 2) (+ (* -1/645120 (/ (pow x 2) (pow y 7))) (* 1/3840 (/ 1 (pow y 5))))) (* 1/48 (/ 1 (pow y 3))))) (* 1/2 (/ 1 y))))
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(sin (* 1/2 (/ x y)))
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(sin (* 1/2 (/ x y)))
(sin (* (pow 1/16 1/4) (/ x y)))
(sin (* (pow 1/16 1/4) (/ x y)))
(sin (* (pow 1/16 1/4) (/ x y)))
(sin (* (pow 1/16 1/4) (/ x y)))
(* (pow 1/16 1/4) (/ x y))
(/ (+ (* -1/6 (* (pow 1/4096 1/4) (/ (pow x 3) (pow y 2)))) (* (pow 1/16 1/4) x)) y)
(/ (+ (* -1/6 (* (pow 1/4096 1/4) (/ (pow x 3) (pow y 2)))) (+ (* 1/120 (* (pow 1/1048576 1/4) (/ (pow x 5) (pow y 4)))) (* (pow 1/16 1/4) x))) y)
(/ (+ (* -1/6 (* (pow 1/4096 1/4) (/ (pow x 3) (pow y 2)))) (+ (* -1/5040 (* (pow 1/268435456 1/4) (/ (pow x 7) (pow y 6)))) (+ (* 1/120 (* (pow 1/1048576 1/4) (/ (pow x 5) (pow y 4)))) (* (pow 1/16 1/4) x)))) y)
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(* -1 (/ (+ (* -1/6 (* (pow 1/4096 1/4) (/ (pow x 3) (pow y 2)))) (+ (* 1/120 (* (pow 1/1048576 1/4) (/ (pow x 5) (pow y 4)))) (* (pow 1/16 1/4) x))) y))
(* -1 (/ (+ (* -1/6 (* (pow 1/4096 1/4) (/ (pow x 3) (pow y 2)))) (+ (* -1/5040 (* (pow 1/268435456 1/4) (/ (pow x 7) (pow y 6)))) (+ (* 1/120 (* (pow 1/1048576 1/4) (/ (pow x 5) (pow y 4)))) (* (pow 1/16 1/4) x)))) y))
(* (pow 1/16 1/4) (/ x y))
(* x (+ (* -1/6 (* (pow 1/4096 1/4) (/ (pow x 2) (pow y 3)))) (* (pow 1/16 1/4) (/ 1 y))))
(* x (+ (* (pow 1/16 1/4) (/ 1 y)) (* (pow x 2) (+ (* -1/6 (* (pow 1/4096 1/4) (/ 1 (pow y 3)))) (* 1/120 (* (pow 1/1048576 1/4) (/ (pow x 2) (pow y 5))))))))
(* x (+ (* (pow 1/16 1/4) (/ 1 y)) (* (pow x 2) (+ (* -1/6 (* (pow 1/4096 1/4) (/ 1 (pow y 3)))) (* (pow x 2) (+ (* -1/5040 (* (pow 1/268435456 1/4) (/ (pow x 2) (pow y 7)))) (* 1/120 (* (pow 1/1048576 1/4) (/ 1 (pow y 5))))))))))
(sin (* (pow 1/16 1/4) (/ x y)))
(sin (* (pow 1/16 1/4) (/ x y)))
(sin (* (pow 1/16 1/4) (/ x y)))
(sin (* (pow 1/16 1/4) (/ x y)))
(sin (* (pow 1/16 1/4) (/ x y)))
(sin (* (pow 1/16 1/4) (/ x y)))
(sin (* (pow 1/16 1/4) (/ x y)))
(sin (* (pow 1/16 1/4) (/ x y)))
(* (pow 1/16 1/4) (/ x y))
(* (pow 1/16 1/4) (/ x y))
(* (pow 1/16 1/4) (/ x y))
(* (pow 1/16 1/4) (/ x y))
(* (pow 1/16 1/4) (/ x y))
(* (pow 1/16 1/4) (/ x y))
(* (pow 1/16 1/4) (/ x y))
(* (pow 1/16 1/4) (/ x y))
(* -1 (* (pow 1/16 1/4) (/ x y)))
(* -1 (* (pow 1/16 1/4) (/ x y)))
(* -1 (* (pow 1/16 1/4) (/ x y)))
(* -1 (* (pow 1/16 1/4) (/ x y)))
(* (pow 1/16 1/4) (/ x y))
(* (pow 1/16 1/4) (/ x y))
(* (pow 1/16 1/4) (/ x y))
(* (pow 1/16 1/4) (/ x y))
(* (pow 1/16 1/4) (/ x y))
(* (pow 1/16 1/4) (/ x y))
(* (pow 1/16 1/4) (/ x y))
(* (pow 1/16 1/4) (/ x y))
(* (pow 1/16 1/4) (/ x y))
(* (pow 1/16 1/4) (/ x y))
(* (pow 1/16 1/4) (/ x y))
(* (pow 1/16 1/4) (/ x y))

Outputs
(/ (* x (pow (sqrt 1/2) 2)) y)
(/.f64 (*.f64 x #s(literal 1/2 binary64)) y)
(/ (* x (pow (sqrt 1/2) 2)) y)
(/.f64 (*.f64 x #s(literal 1/2 binary64)) y)
(/ (* x (pow (sqrt 1/2) 2)) y)
(/.f64 (*.f64 x #s(literal 1/2 binary64)) y)
(/ (* x (pow (sqrt 1/2) 2)) y)
(/.f64 (*.f64 x #s(literal 1/2 binary64)) y)
(/ (* x (pow (sqrt 1/2) 2)) y)
(/.f64 (*.f64 x #s(literal 1/2 binary64)) y)
(/ (* x (pow (sqrt 1/2) 2)) y)
(/.f64 (*.f64 x #s(literal 1/2 binary64)) y)
(/ (* x (pow (sqrt 1/2) 2)) y)
(/.f64 (*.f64 x #s(literal 1/2 binary64)) y)
(/ (* x (pow (sqrt 1/2) 2)) y)
(/.f64 (*.f64 x #s(literal 1/2 binary64)) y)
(* -1 (/ (* x (pow (sqrt -1/2) 2)) y))
(/.f64 (*.f64 x #s(literal 1/2 binary64)) y)
(* -1 (/ (* x (pow (sqrt -1/2) 2)) y))
(/.f64 (*.f64 x #s(literal 1/2 binary64)) y)
(* -1 (/ (* x (pow (sqrt -1/2) 2)) y))
(/.f64 (*.f64 x #s(literal 1/2 binary64)) y)
(* -1 (/ (* x (pow (sqrt -1/2) 2)) y))
(/.f64 (*.f64 x #s(literal 1/2 binary64)) y)
(/ (* x (pow (sqrt 1/2) 2)) y)
(/.f64 (*.f64 x #s(literal 1/2 binary64)) y)
(/ (* x (pow (sqrt 1/2) 2)) y)
(/.f64 (*.f64 x #s(literal 1/2 binary64)) y)
(/ (* x (pow (sqrt 1/2) 2)) y)
(/.f64 (*.f64 x #s(literal 1/2 binary64)) y)
(/ (* x (pow (sqrt 1/2) 2)) y)
(/.f64 (*.f64 x #s(literal 1/2 binary64)) y)
(/ (* x (pow (sqrt 1/2) 2)) y)
(/.f64 (*.f64 x #s(literal 1/2 binary64)) y)
(/ (* x (pow (sqrt 1/2) 2)) y)
(/.f64 (*.f64 x #s(literal 1/2 binary64)) y)
(/ (* x (pow (sqrt 1/2) 2)) y)
(/.f64 (*.f64 x #s(literal 1/2 binary64)) y)
(/ (* x (pow (sqrt 1/2) 2)) y)
(/.f64 (*.f64 x #s(literal 1/2 binary64)) y)
(/ (* x (pow (sqrt 1/2) 2)) y)
(/.f64 (*.f64 x #s(literal 1/2 binary64)) y)
(/ (* x (pow (sqrt 1/2) 2)) y)
(/.f64 (*.f64 x #s(literal 1/2 binary64)) y)
(/ (* x (pow (sqrt 1/2) 2)) y)
(/.f64 (*.f64 x #s(literal 1/2 binary64)) y)
(/ (* x (pow (sqrt 1/2) 2)) y)
(/.f64 (*.f64 x #s(literal 1/2 binary64)) y)
(/ 1 (cos (/ (* x (pow (sqrt 1/2) 2)) y)))
(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 (*.f64 x #s(literal -1/2 binary64)) y)))
(/ 1 (cos (/ (* x (pow (sqrt 1/2) 2)) y)))
(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 (*.f64 x #s(literal -1/2 binary64)) y)))
(/ 1 (cos (/ (* x (pow (sqrt 1/2) 2)) y)))
(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 (*.f64 x #s(literal -1/2 binary64)) y)))
(/ 1 (cos (/ (* x (pow (sqrt 1/2) 2)) y)))
(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 (*.f64 x #s(literal -1/2 binary64)) y)))
1
#s(literal 1 binary64)
(+ 1 (* 1/2 (/ (* (pow x 2) (pow (sqrt 1/2) 4)) (pow y 2))))
(fma.f64 (.f64 #s(literal 1/2 binary64) (.f64 x x)) (/.f64 (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 4 binary64)) (*.f64 y y)) #s(literal 1 binary64))
(- (+ 1 (* -1 (/ (+ (* -1/4 (* (pow x 4) (pow (sqrt 1/2) 8))) (* 1/24 (* (pow x 4) (pow (sqrt 1/2) 8)))) (pow y 4)))) (* -1/2 (/ (* (pow x 2) (pow (sqrt 1/2) 4)) (pow y 2))))
(fma.f64 #s(literal 1/2 binary64) (/.f64 (.f64 (.f64 x x) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 4 binary64))) (.f64 y y)) (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 8 binary64)) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -5/24 binary64))) (pow.f64 y #s(literal 4 binary64)))))
(- (+ 1 (* -1 (/ (+ (* -1/720 (* (pow x 6) (pow (sqrt 1/2) 12))) (+ (* 1/48 (* (pow x 6) (pow (sqrt 1/2) 12))) (* 1/2 (* (pow x 2) (* (pow (sqrt 1/2) 4) (+ (* -1/4 (* (pow x 4) (pow (sqrt 1/2) 8))) (* 1/24 (* (pow x 4) (pow (sqrt 1/2) 8))))))))) (pow y 6)))) (+ (* -1/2 (/ (* (pow x 2) (pow (sqrt 1/2) 4)) (pow y 2))) (+ (* -1/4 (/ (* (pow x 4) (pow (sqrt 1/2) 8)) (pow y 4))) (* 1/24 (/ (* (pow x 4) (pow (sqrt 1/2) 8)) (pow y 4))))))
(-.f64 (-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 4 binary64)) (.f64 (.f64 x x) (.f64 (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 8 binary64)) (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -5/24 binary64))))) (.f64 (.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 12 binary64))) #s(literal 7/360 binary64))) (pow.f64 y #s(literal 6 binary64)))) (fma.f64 #s(literal -1/2 binary64) (/.f64 (.f64 (.f64 x x) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 4 binary64))) (.f64 y y)) (/.f64 (.f64 (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 8 binary64)) (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -5/24 binary64))) (pow.f64 y #s(literal 4 binary64)))))
1
#s(literal 1 binary64)
(+ 1 (* 1/2 (/ (* (pow x 2) (pow (sqrt -1/2) 4)) (pow y 2))))
(fma.f64 (.f64 #s(literal 1/2 binary64) (.f64 x x)) (/.f64 (pow.f64 (sqrt.f64 #s(literal -1/2 binary64)) #s(literal 4 binary64)) (*.f64 y y)) #s(literal 1 binary64))
(- (+ 1 (* -1 (/ (+ (* -1/4 (* (pow x 4) (pow (sqrt -1/2) 8))) (* 1/24 (* (pow x 4) (pow (sqrt -1/2) 8)))) (pow y 4)))) (* -1/2 (/ (* (pow x 2) (pow (sqrt -1/2) 4)) (pow y 2))))
(fma.f64 #s(literal 1/2 binary64) (/.f64 (.f64 x (.f64 x (pow.f64 (sqrt.f64 #s(literal -1/2 binary64)) #s(literal 4 binary64)))) (.f64 y y)) (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 (pow.f64 (sqrt.f64 #s(literal -1/2 binary64)) #s(literal 8 binary64)) #s(literal -5/24 binary64))) (pow.f64 y #s(literal 4 binary64)))))
(- (+ 1 (* -1 (/ (+ (* -1/720 (* (pow x 6) (pow (sqrt -1/2) 12))) (+ (* 1/48 (* (pow x 6) (pow (sqrt -1/2) 12))) (* 1/2 (* (pow x 2) (* (pow (sqrt -1/2) 4) (+ (* -1/4 (* (pow x 4) (pow (sqrt -1/2) 8))) (* 1/24 (* (pow x 4) (pow (sqrt -1/2) 8))))))))) (pow y 6)))) (+ (* -1/2 (/ (* (pow x 2) (pow (sqrt -1/2) 4)) (pow y 2))) (+ (* -1/4 (/ (* (pow x 4) (pow (sqrt -1/2) 8)) (pow y 4))) (* 1/24 (/ (* (pow x 4) (pow (sqrt -1/2) 8)) (pow y 4))))))
(-.f64 (-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 (.f64 x x) (.f64 (pow.f64 (sqrt.f64 #s(literal -1/2 binary64)) #s(literal 4 binary64)) (.f64 (pow.f64 x #s(literal 4 binary64)) (.f64 (pow.f64 (sqrt.f64 #s(literal -1/2 binary64)) #s(literal 8 binary64)) #s(literal -5/24 binary64))))) (.f64 (.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (sqrt.f64 #s(literal -1/2 binary64)) #s(literal 12 binary64))) #s(literal 7/360 binary64))) (pow.f64 y #s(literal 6 binary64)))) (fma.f64 #s(literal -1/2 binary64) (/.f64 (.f64 x (.f64 x (pow.f64 (sqrt.f64 #s(literal -1/2 binary64)) #s(literal 4 binary64)))) (.f64 y y)) (/.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) (.f64 (pow.f64 (sqrt.f64 #s(literal -1/2 binary64)) #s(literal 8 binary64)) #s(literal -5/24 binary64))) (pow.f64 y #s(literal 4 binary64)))))
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(.f64 x (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 (/.f64 (.f64 x x) (pow.f64 y #s(literal 7 binary64))) (.f64 #s(literal -1/5040 binary64) (pow.f64 #s(literal 1/268435456 binary64) #s(literal 1/4 binary64))) (/.f64 (.f64 (pow.f64 #s(literal 1/1048576 binary64) #s(literal 1/4 binary64)) #s(literal 1/120 binary64)) (pow.f64 y #s(literal 5 binary64)))) (/.f64 (.f64 #s(literal -1/6 binary64) (pow.f64 #s(literal 1/4096 binary64) #s(literal 1/4 binary64))) (.f64 y (*.f64 y y)))) (/.f64 (pow.f64 #s(literal 1/16 binary64) #s(literal 1/4 binary64)) y)))
(sin (* (pow 1/16 1/4) (/ x y)))
(sin.f64 (/.f64 (*.f64 x (pow.f64 #s(literal 1/16 binary64) #s(literal 1/4 binary64))) y))
(sin (* (pow 1/16 1/4) (/ x y)))
(sin.f64 (/.f64 (*.f64 x (pow.f64 #s(literal 1/16 binary64) #s(literal 1/4 binary64))) y))
(sin (* (pow 1/16 1/4) (/ x y)))
(sin.f64 (/.f64 (*.f64 x (pow.f64 #s(literal 1/16 binary64) #s(literal 1/4 binary64))) y))
(sin (* (pow 1/16 1/4) (/ x y)))
(sin.f64 (/.f64 (*.f64 x (pow.f64 #s(literal 1/16 binary64) #s(literal 1/4 binary64))) y))
(sin (* (pow 1/16 1/4) (/ x y)))
(sin.f64 (/.f64 (*.f64 x (pow.f64 #s(literal 1/16 binary64) #s(literal 1/4 binary64))) y))
(sin (* (pow 1/16 1/4) (/ x y)))
(sin.f64 (/.f64 (*.f64 x (pow.f64 #s(literal 1/16 binary64) #s(literal 1/4 binary64))) y))
(sin (* (pow 1/16 1/4) (/ x y)))
(sin.f64 (/.f64 (*.f64 x (pow.f64 #s(literal 1/16 binary64) #s(literal 1/4 binary64))) y))
(sin (* (pow 1/16 1/4) (/ x y)))
(sin.f64 (/.f64 (*.f64 x (pow.f64 #s(literal 1/16 binary64) #s(literal 1/4 binary64))) y))
(* (pow 1/16 1/4) (/ x y))
(/.f64 (*.f64 x (pow.f64 #s(literal 1/16 binary64) #s(literal 1/4 binary64))) y)
(* (pow 1/16 1/4) (/ x y))
(/.f64 (*.f64 x (pow.f64 #s(literal 1/16 binary64) #s(literal 1/4 binary64))) y)
(* (pow 1/16 1/4) (/ x y))
(/.f64 (*.f64 x (pow.f64 #s(literal 1/16 binary64) #s(literal 1/4 binary64))) y)
(* (pow 1/16 1/4) (/ x y))
(/.f64 (*.f64 x (pow.f64 #s(literal 1/16 binary64) #s(literal 1/4 binary64))) y)
(* (pow 1/16 1/4) (/ x y))
(/.f64 (*.f64 x (pow.f64 #s(literal 1/16 binary64) #s(literal 1/4 binary64))) y)
(* (pow 1/16 1/4) (/ x y))
(/.f64 (*.f64 x (pow.f64 #s(literal 1/16 binary64) #s(literal 1/4 binary64))) y)
(* (pow 1/16 1/4) (/ x y))
(/.f64 (*.f64 x (pow.f64 #s(literal 1/16 binary64) #s(literal 1/4 binary64))) y)
(* (pow 1/16 1/4) (/ x y))
(/.f64 (*.f64 x (pow.f64 #s(literal 1/16 binary64) #s(literal 1/4 binary64))) y)
(* -1 (* (pow 1/16 1/4) (/ x y)))
(neg.f64 (/.f64 (*.f64 x (pow.f64 #s(literal 1/16 binary64) #s(literal 1/4 binary64))) y))
(* -1 (* (pow 1/16 1/4) (/ x y)))
(neg.f64 (/.f64 (*.f64 x (pow.f64 #s(literal 1/16 binary64) #s(literal 1/4 binary64))) y))
(* -1 (* (pow 1/16 1/4) (/ x y)))
(neg.f64 (/.f64 (*.f64 x (pow.f64 #s(literal 1/16 binary64) #s(literal 1/4 binary64))) y))
(* -1 (* (pow 1/16 1/4) (/ x y)))
(neg.f64 (/.f64 (*.f64 x (pow.f64 #s(literal 1/16 binary64) #s(literal 1/4 binary64))) y))
(* (pow 1/16 1/4) (/ x y))
(/.f64 (*.f64 x (pow.f64 #s(literal 1/16 binary64) #s(literal 1/4 binary64))) y)
(* (pow 1/16 1/4) (/ x y))
(/.f64 (*.f64 x (pow.f64 #s(literal 1/16 binary64) #s(literal 1/4 binary64))) y)
(* (pow 1/16 1/4) (/ x y))
(/.f64 (*.f64 x (pow.f64 #s(literal 1/16 binary64) #s(literal 1/4 binary64))) y)
(* (pow 1/16 1/4) (/ x y))
(/.f64 (*.f64 x (pow.f64 #s(literal 1/16 binary64) #s(literal 1/4 binary64))) y)
(* (pow 1/16 1/4) (/ x y))
(/.f64 (*.f64 x (pow.f64 #s(literal 1/16 binary64) #s(literal 1/4 binary64))) y)
(* (pow 1/16 1/4) (/ x y))
(/.f64 (*.f64 x (pow.f64 #s(literal 1/16 binary64) #s(literal 1/4 binary64))) y)
(* (pow 1/16 1/4) (/ x y))
(/.f64 (*.f64 x (pow.f64 #s(literal 1/16 binary64) #s(literal 1/4 binary64))) y)
(* (pow 1/16 1/4) (/ x y))
(/.f64 (*.f64 x (pow.f64 #s(literal 1/16 binary64) #s(literal 1/4 binary64))) y)
(* (pow 1/16 1/4) (/ x y))
(/.f64 (*.f64 x (pow.f64 #s(literal 1/16 binary64) #s(literal 1/4 binary64))) y)
(* (pow 1/16 1/4) (/ x y))
(/.f64 (*.f64 x (pow.f64 #s(literal 1/16 binary64) #s(literal 1/4 binary64))) y)
(* (pow 1/16 1/4) (/ x y))
(/.f64 (*.f64 x (pow.f64 #s(literal 1/16 binary64) #s(literal 1/4 binary64))) y)
(* (pow 1/16 1/4) (/ x y))
(/.f64 (*.f64 x (pow.f64 #s(literal 1/16 binary64) #s(literal 1/4 binary64))) y)

rewrite316.0ms (2.1%)

Memory

29.1MiB live, 545.9MiB allocated

Rules

6 448×	`lower-*.f32`
6 424×	`lower-*.f64`
4 166×	`lower-fma.f32`
4 164×	`lower-fma.f64`
2 490×	`lower-/.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	50	286
0	88	270
1	269	259
2	1372	177
0	8655	177

Stop Event

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

Counts

27 → 2 528

Calls

Call 1

Inputs
(.f64 (pow.f64 (.f64 y #s(literal 2 binary64)) #s(literal -1/2 binary64)) (.f64 x (pow.f64 (.f64 y #s(literal 2 binary64)) #s(literal -1/2 binary64))))
(/.f64 #s(literal 1 binary64) (cos.f64 (.f64 (pow.f64 (.f64 y #s(literal 2 binary64)) #s(literal -1/2 binary64)) (.f64 x (pow.f64 (.f64 y #s(literal 2 binary64)) #s(literal -1/2 binary64))))))
(cos.f64 (.f64 (pow.f64 (.f64 y #s(literal 2 binary64)) #s(literal -1/2 binary64)) (.f64 x (pow.f64 (.f64 y #s(literal 2 binary64)) #s(literal -1/2 binary64)))))
(pow.f64 (*.f64 y #s(literal 2 binary64)) #s(literal -1/2 binary64))
(/.f64 #s(literal 1 binary64) #s(approx (cos (/ x (* y 2))) (fma.f64 (/.f64 (.f64 x x) (.f64 y y)) #s(literal -1/8 binary64) #s(literal 1 binary64))))
#s(approx (cos (/ x (* y 2))) (fma.f64 (/.f64 (.f64 x x) (.f64 y y)) #s(literal -1/8 binary64) #s(literal 1 binary64)))
(fma.f64 (/.f64 (.f64 x x) (.f64 y y)) #s(literal -1/8 binary64) #s(literal 1 binary64))
(/.f64 (.f64 x x) (.f64 y y))
(/.f64 #s(literal 1/2 binary64) (/.f64 y x))
(/.f64 (tan.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 y x))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
(tan.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 y x)))
(/.f64 y x)
(/.f64 (.f64 (neg.f64 (.f64 x (.f64 x (.f64 x x)))) (/.f64 #s(literal -1/2 binary64) (.f64 x y))) (.f64 x x))
(/.f64 (.f64 (/.f64 #s(literal -1/2 binary64) y) (neg.f64 (.f64 x x))) x)
(.f64 (neg.f64 (.f64 x (.f64 x (.f64 x x)))) (/.f64 #s(literal -1/2 binary64) (*.f64 x y)))
(.f64 (/.f64 #s(literal -1/2 binary64) y) (neg.f64 (.f64 x x)))
(/.f64 (tan.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) (sin.f64 (.f64 (pow.f64 (.f64 y #s(literal 2 binary64)) #s(literal -3/4 binary64)) (.f64 x (pow.f64 (*.f64 y #s(literal 2 binary64)) #s(literal -1/4 binary64))))))
(tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))
(/.f64 x (*.f64 y #s(literal 2 binary64)))
(*.f64 y #s(literal 2 binary64))
(.f64 x (pow.f64 (.f64 y #s(literal 2 binary64)) #s(literal -1/2 binary64)))
(*.f64 x x)
(sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))
(tan.f64 (/.f64 (.f64 (neg.f64 (.f64 x (.f64 x (.f64 x x)))) (/.f64 #s(literal -1/2 binary64) (.f64 x y))) (.f64 x x)))
(sin.f64 (/.f64 (.f64 (/.f64 #s(literal -1/2 binary64) y) (neg.f64 (.f64 x x))) x))
(sin.f64 (.f64 (pow.f64 (.f64 y #s(literal 2 binary64)) #s(literal -3/4 binary64)) (.f64 x (pow.f64 (.f64 y #s(literal 2 binary64)) #s(literal -1/4 binary64)))))
(.f64 (pow.f64 (.f64 y #s(literal 2 binary64)) #s(literal -3/4 binary64)) (.f64 x (pow.f64 (.f64 y #s(literal 2 binary64)) #s(literal -1/4 binary64))))

Outputs
(+.f64 (.f64 (/.f64 #s(literal -1/2 binary64) (.f64 x (.f64 y (.f64 x x)))) #s(literal 0 binary64)) (/.f64 x (*.f64 y #s(literal 2 binary64))))
(+.f64 (.f64 #s(literal 0 binary64) (/.f64 #s(literal -1/2 binary64) (.f64 x (.f64 y (.f64 x x))))) (/.f64 x (*.f64 y #s(literal 2 binary64))))
(exp.f64 (.f64 (log.f64 (/.f64 y (.f64 #s(literal 1/2 binary64) x))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 x y)))
(-.f64 (/.f64 #s(literal 0 binary64) (.f64 x x)) (.f64 #s(literal -1/2 binary64) (/.f64 x y)))
(-.f64 (/.f64 #s(literal 0 binary64) (.f64 x (neg.f64 x))) (.f64 #s(literal -1/2 binary64) (/.f64 x y)))
(-.f64 (/.f64 #s(literal 0 binary64) (.f64 y #s(literal -2 binary64))) (.f64 #s(literal -1/2 binary64) (/.f64 x y)))
(fma.f64 #s(literal 0 binary64) (/.f64 #s(literal -1/2 binary64) (.f64 x (.f64 y (.f64 x x)))) (/.f64 x (.f64 y #s(literal 2 binary64))))
(fma.f64 (/.f64 #s(literal -1/2 binary64) (.f64 x (.f64 y (.f64 x x)))) #s(literal 0 binary64) (/.f64 x (.f64 y #s(literal 2 binary64))))
(neg.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y)))
(neg.f64 (.f64 (/.f64 (.f64 x x) x) (/.f64 #s(literal -1/2 binary64) y)))
(neg.f64 (.f64 (.f64 x (neg.f64 x)) (/.f64 #s(literal 1/2 binary64) (*.f64 y x))))
(neg.f64 (.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (.f64 (.f64 x x) (*.f64 #s(literal -1/2 binary64) (/.f64 x y)))))
(neg.f64 (.f64 (/.f64 #s(literal -1/2 binary64) (.f64 x (.f64 y (.f64 x x)))) (.f64 x (.f64 x (*.f64 x x)))))
(neg.f64 (/.f64 (.f64 #s(literal -1/2 binary64) (.f64 x x)) (*.f64 y x)))
(neg.f64 (/.f64 (/.f64 x y) #s(literal -2 binary64)))
(neg.f64 (/.f64 (.f64 #s(literal -1/2 binary64) (.f64 x (.f64 x (.f64 x x)))) (.f64 x (.f64 y (*.f64 x x)))))
(neg.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) x) y))
(neg.f64 (/.f64 #s(literal -1 binary64) (/.f64 y (*.f64 #s(literal 1/2 binary64) x))))
(/.f64 #s(literal -1/2 binary64) (/.f64 y (neg.f64 x)))
(/.f64 x (*.f64 y #s(literal 2 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 y (*.f64 #s(literal 1/2 binary64) x)))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 y x) (.f64 (*.f64 x x) #s(literal 1/2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 y #s(literal -2 binary64)) x) (*.f64 x (neg.f64 x))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 y (neg.f64 x)) (.f64 #s(literal -1/2 binary64) (*.f64 x x))))
(/.f64 #s(literal 1 binary64) (/.f64 y (*.f64 x #s(literal 1/2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 x (.f64 y (.f64 x x))) (.f64 x (.f64 x (.f64 (*.f64 x x) #s(literal 1/2 binary64))))))
(/.f64 (.f64 x x) (neg.f64 (.f64 (*.f64 y #s(literal -2 binary64)) x)))
(/.f64 #s(literal 1/2 binary64) (/.f64 y x))
(/.f64 (.f64 x (neg.f64 (.f64 x (.f64 x x)))) (.f64 x (.f64 x (.f64 y (*.f64 x #s(literal -2 binary64))))))
(/.f64 (.f64 x (/.f64 (.f64 x x) (.f64 y #s(literal 2 binary64)))) (.f64 x x))
(/.f64 (/.f64 #s(literal -1/2 binary64) y) (/.f64 #s(literal -1 binary64) x))
(/.f64 (.f64 x (neg.f64 x)) (.f64 y (*.f64 x #s(literal -2 binary64))))
(/.f64 (.f64 x (neg.f64 x)) (.f64 (*.f64 y #s(literal -2 binary64)) x))
(/.f64 (/.f64 (.f64 x x) (.f64 y #s(literal 2 binary64))) x)
(/.f64 #s(literal -1 binary64) (/.f64 y (*.f64 #s(literal -1/2 binary64) x)))
(/.f64 (.f64 (.f64 x x) (.f64 #s(literal -1/2 binary64) (/.f64 x y))) (.f64 x (neg.f64 x)))
(/.f64 (neg.f64 x) (*.f64 y #s(literal -2 binary64)))
(/.f64 (/.f64 (.f64 x x) (.f64 y #s(literal -2 binary64))) (neg.f64 x))
(/.f64 (/.f64 x y) #s(literal 2 binary64))
(/.f64 (/.f64 #s(literal -1/2 binary64) (.f64 x (.f64 y x))) (/.f64 #s(literal 1 binary64) (neg.f64 (.f64 x (.f64 x x)))))
(/.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (.f64 #s(literal 1 binary64) (/.f64 y (.f64 x (.f64 (*.f64 x x) #s(literal 1/2 binary64))))))
(/.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal 1 binary64) x))
(/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 y (.f64 (.f64 x x) #s(literal 1/2 binary64))))
(/.f64 (neg.f64 (.f64 x (.f64 x x))) (.f64 x (.f64 y (*.f64 x #s(literal -2 binary64)))))
(/.f64 (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/2 binary64)))) (.f64 x (.f64 y (*.f64 x x))))
(/.f64 (.f64 (.f64 x x) #s(literal 1/2 binary64)) (*.f64 y x))
(/.f64 (.f64 #s(literal -1/2 binary64) (.f64 x x)) (*.f64 y (neg.f64 x)))
(/.f64 (/.f64 x (neg.f64 y)) #s(literal -2 binary64))
(/.f64 (.f64 #s(literal -1/2 binary64) (.f64 x (.f64 x (.f64 x x)))) (.f64 x (.f64 (*.f64 x (neg.f64 x)) y)))
(/.f64 (*.f64 #s(literal 1/2 binary64) x) y)
(/.f64 (*.f64 x #s(literal 1/2 binary64)) y)
(/.f64 (*.f64 #s(literal -1/2 binary64) x) (neg.f64 y))
(/.f64 (neg.f64 (*.f64 x #s(literal 1/2 binary64))) (neg.f64 y))
(pow.f64 (/.f64 y (*.f64 #s(literal 1/2 binary64) x)) #s(literal -1 binary64))
(*.f64 #s(literal -1/2 binary64) (/.f64 x (neg.f64 y)))
(.f64 #s(literal -1/2 binary64) (/.f64 (.f64 x (neg.f64 x)) (*.f64 y x)))
(.f64 #s(literal -1/2 binary64) (.f64 (/.f64 #s(literal 1 binary64) (.f64 y x)) (.f64 x (neg.f64 x))))
(.f64 #s(literal -1/2 binary64) (.f64 (/.f64 (*.f64 x x) y) (/.f64 #s(literal -1 binary64) x)))
(.f64 #s(literal -1/2 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) (.f64 y x)) (.f64 x (neg.f64 (.f64 x (.f64 x x))))) (/.f64 #s(literal 1 binary64) (.f64 x x))))
(.f64 #s(literal -1/2 binary64) (.f64 (/.f64 (/.f64 #s(literal 1 binary64) (.f64 y x)) x) (neg.f64 (.f64 x (*.f64 x x)))))
(.f64 #s(literal -1/2 binary64) (.f64 (/.f64 (/.f64 #s(literal 1 binary64) (.f64 y x)) (.f64 x x)) (.f64 x (neg.f64 (.f64 x (*.f64 x x))))))
(.f64 (pow.f64 (.f64 y #s(literal 2 binary64)) #s(literal -1/2 binary64)) (.f64 (pow.f64 (.f64 y #s(literal 2 binary64)) #s(literal -1/2 binary64)) x))
(*.f64 x (/.f64 #s(literal 1/2 binary64) y))
(.f64 x (.f64 (/.f64 (.f64 x x) (.f64 y #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 x x))))
(.f64 x (.f64 (neg.f64 x) (/.f64 #s(literal -1/2 binary64) (*.f64 y x))))
(.f64 x (.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) x)))
(.f64 x (.f64 (/.f64 (.f64 x x) (.f64 y #s(literal -2 binary64))) (/.f64 #s(literal -1 binary64) (*.f64 x x))))
(.f64 x (.f64 (neg.f64 (/.f64 (.f64 x (.f64 x x)) x)) (/.f64 #s(literal -1/2 binary64) (.f64 x (.f64 y x)))))
(.f64 (.f64 (pow.f64 (.f64 y #s(literal 2 binary64)) #s(literal -1/2 binary64)) x) (pow.f64 (.f64 y #s(literal 2 binary64)) #s(literal -1/2 binary64)))
(.f64 #s(literal 1 binary64) (/.f64 x (.f64 y #s(literal 2 binary64))))
(.f64 (.f64 x x) (/.f64 #s(literal 1/2 binary64) (*.f64 y x)))
(.f64 (.f64 x x) (/.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 y x)) #s(literal -1 binary64)))
(.f64 (.f64 x x) (*.f64 (/.f64 #s(literal -1/2 binary64) y) (/.f64 #s(literal -1 binary64) x)))
(.f64 (.f64 x x) (.f64 (.f64 x (neg.f64 x)) (/.f64 #s(literal -1/2 binary64) (.f64 x (.f64 y (*.f64 x x))))))
(.f64 (.f64 x x) (.f64 (.f64 #s(literal -1/2 binary64) (/.f64 x y)) (/.f64 #s(literal -1 binary64) (*.f64 x x))))
(*.f64 #s(literal 1/2 binary64) (/.f64 x y))
(.f64 #s(literal 1/2 binary64) (/.f64 (/.f64 (.f64 x x) y) x))
(.f64 #s(literal 1/2 binary64) (.f64 (/.f64 #s(literal -1 binary64) (.f64 y x)) (.f64 x (neg.f64 x))))
(.f64 (/.f64 x (.f64 y #s(literal 2 binary64))) #s(literal 1 binary64))
(.f64 (.f64 x (.f64 x x)) (.f64 (neg.f64 x) (/.f64 #s(literal -1/2 binary64) (.f64 x (.f64 y (*.f64 x x))))))
(.f64 (.f64 x (.f64 x x)) (.f64 (/.f64 x (.f64 y (.f64 x #s(literal -2 binary64)))) (/.f64 #s(literal -1 binary64) (*.f64 x x))))
(.f64 (.f64 x (.f64 x (.f64 x x))) (neg.f64 (/.f64 #s(literal -1/2 binary64) (.f64 x (.f64 y (*.f64 x x))))))
(.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 (/.f64 #s(literal 1/2 binary64) (.f64 y x)) (/.f64 #s(literal 1 binary64) (*.f64 x x))))
(.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 #s(literal -1 binary64) (/.f64 #s(literal -1/2 binary64) (.f64 x (.f64 y (.f64 x x))))))
(.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 (/.f64 #s(literal -1/2 binary64) (.f64 y x)) (/.f64 #s(literal -1 binary64) (*.f64 x x))))
(.f64 (.f64 x (neg.f64 (.f64 x (.f64 x x)))) (/.f64 #s(literal -1/2 binary64) (.f64 x (.f64 y (*.f64 x x)))))
(.f64 (/.f64 #s(literal -1/2 binary64) (.f64 y x)) (*.f64 x (neg.f64 x)))
(.f64 (/.f64 #s(literal -1/2 binary64) (.f64 y x)) (neg.f64 (/.f64 (.f64 x (.f64 x x)) x)))
(.f64 (/.f64 #s(literal -1/2 binary64) (.f64 y x)) (.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (.f64 x (neg.f64 (.f64 x (*.f64 x x))))))
(.f64 (/.f64 #s(literal -1/2 binary64) (.f64 y x)) (.f64 (.f64 x (.f64 x (.f64 x x))) (/.f64 #s(literal -1 binary64) (*.f64 x x))))
(.f64 (/.f64 #s(literal -1/2 binary64) (.f64 y x)) (.f64 (/.f64 #s(literal 1 binary64) x) (neg.f64 (.f64 x (*.f64 x x)))))
(.f64 (.f64 x (/.f64 (.f64 x x) (.f64 y #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (*.f64 x x)))
(*.f64 (/.f64 #s(literal -1/2 binary64) y) (neg.f64 x))
(.f64 (.f64 x (neg.f64 x)) (/.f64 #s(literal -1/2 binary64) (*.f64 y x)))
(.f64 (.f64 x (neg.f64 x)) (/.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 y x)) #s(literal -1 binary64)))
(.f64 (.f64 x (neg.f64 x)) (/.f64 #s(literal 1 binary64) (.f64 (.f64 y #s(literal -2 binary64)) x)))
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(.f64 (/.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal -1 binary64)) (/.f64 #s(literal -1/2 binary64) (.f64 x (.f64 y (*.f64 x x)))))
(.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) (.f64 y x)) (.f64 x x)) (/.f64 (.f64 x (neg.f64 (.f64 x (.f64 x x)))) #s(literal -1 binary64)))
(.f64 (/.f64 (/.f64 #s(literal -1/2 binary64) (.f64 y x)) (neg.f64 x)) (/.f64 (.f64 x (.f64 x (*.f64 x x))) x))
(.f64 (/.f64 (/.f64 #s(literal -1/2 binary64) (.f64 y x)) #s(literal -1 binary64)) (*.f64 x x))
(.f64 (/.f64 (.f64 x (neg.f64 (.f64 x (.f64 x x)))) #s(literal -1 binary64)) (/.f64 (/.f64 #s(literal 1/2 binary64) (.f64 y x)) (.f64 x x)))
(.f64 (/.f64 (/.f64 (.f64 x (.f64 x (.f64 x x))) (neg.f64 y)) x) (/.f64 (/.f64 #s(literal -1/2 binary64) x) x))
(.f64 (/.f64 (.f64 (/.f64 #s(literal -1/2 binary64) (.f64 y x)) x) x) (neg.f64 (/.f64 (.f64 x (*.f64 x x)) x)))
(.f64 (/.f64 (.f64 (/.f64 #s(literal 1/2 binary64) (.f64 y x)) x) x) (/.f64 (.f64 x (*.f64 x x)) x))
(.f64 (/.f64 (.f64 x (.f64 x x)) (neg.f64 x)) (/.f64 (/.f64 x (.f64 y (*.f64 x #s(literal -2 binary64)))) x))
(.f64 (/.f64 (.f64 x (.f64 x x)) #s(literal -1 binary64)) (/.f64 (/.f64 x (.f64 y (.f64 x #s(literal -2 binary64)))) (.f64 x x)))
(.f64 (/.f64 (.f64 x (.f64 x x)) (.f64 x x)) (/.f64 (/.f64 x (.f64 y (.f64 x #s(literal -2 binary64)))) #s(literal -1 binary64)))
(.f64 (/.f64 (.f64 x x) (.f64 x x)) (/.f64 (.f64 #s(literal -1/2 binary64) (/.f64 x y)) #s(literal -1 binary64)))
(.f64 (/.f64 (.f64 #s(literal -1/2 binary64) (.f64 x (.f64 x (.f64 x x)))) (.f64 x x)) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 y x)) #s(literal -1 binary64)))
(.f64 (/.f64 (.f64 #s(literal -1/2 binary64) (.f64 x (.f64 x (.f64 x x)))) #s(literal -1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (.f64 y x)) (*.f64 x x)))
(.f64 (pow.f64 (/.f64 y (.f64 #s(literal 1/2 binary64) x)) #s(literal -1/2 binary64)) (pow.f64 (/.f64 y (*.f64 #s(literal 1/2 binary64) x)) #s(literal -1/2 binary64)))
(.f64 (.f64 (/.f64 #s(literal -1/2 binary64) (.f64 x (.f64 y (.f64 x x)))) (.f64 x (.f64 x (.f64 x x)))) #s(literal -1 binary64))
(.f64 (/.f64 (.f64 #s(literal -1/2 binary64) x) y) #s(literal -1 binary64))
(.f64 (.f64 (pow.f64 (.f64 y #s(literal 2 binary64)) #s(literal -1/2 binary64)) (pow.f64 (.f64 y #s(literal 2 binary64)) #s(literal -1/4 binary64))) (.f64 x (pow.f64 (.f64 y #s(literal 2 binary64)) #s(literal -1/4 binary64))))
(.f64 (.f64 (pow.f64 (.f64 y #s(literal 2 binary64)) #s(literal -1/2 binary64)) (pow.f64 y #s(literal -1/2 binary64))) (.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)) x))
(.f64 (.f64 (.f64 (pow.f64 (.f64 y #s(literal 2 binary64)) #s(literal -1/2 binary64)) x) (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64))) (pow.f64 y #s(literal -1/2 binary64)))
(.f64 (.f64 (.f64 (pow.f64 (.f64 y #s(literal 2 binary64)) #s(literal -1/2 binary64)) x) (pow.f64 y #s(literal -1/4 binary64))) (pow.f64 (.f64 #s(literal 2 binary64) (.f64 y #s(literal 2 binary64))) #s(literal -1/4 binary64)))
(.f64 (.f64 (.f64 (pow.f64 (.f64 y #s(literal 2 binary64)) #s(literal -1/2 binary64)) x) (pow.f64 (.f64 y #s(literal 2 binary64)) #s(literal -1/8 binary64))) (pow.f64 (.f64 y #s(literal 2 binary64)) #s(literal -3/8 binary64)))
(.f64 (.f64 (.f64 (pow.f64 (.f64 y #s(literal 2 binary64)) #s(literal -1/2 binary64)) x) (pow.f64 (.f64 (.f64 y #s(literal 2 binary64)) y) #s(literal -1/4 binary64))) (pow.f64 #s(literal 2 binary64) #s(literal -1/4 binary64)))
(.f64 (.f64 (.f64 (pow.f64 (.f64 y #s(literal 2 binary64)) #s(literal -1/2 binary64)) x) (pow.f64 (.f64 y #s(literal 2 binary64)) #s(literal -3/8 binary64))) (pow.f64 (.f64 y #s(literal 2 binary64)) #s(literal -1/8 binary64)))
(.f64 (.f64 (.f64 (pow.f64 (.f64 y #s(literal 2 binary64)) #s(literal -1/2 binary64)) (.f64 x (pow.f64 (.f64 y #s(literal 2 binary64)) #s(literal -1/4 binary64)))) (pow.f64 y #s(literal -1/4 binary64))) (pow.f64 #s(literal 2 binary64) #s(literal -1/4 binary64)))
(.f64 (.f64 (.f64 (pow.f64 (.f64 y #s(literal 2 binary64)) #s(literal -1/2 binary64)) (.f64 x (pow.f64 (.f64 y #s(literal 2 binary64)) #s(literal -1/4 binary64)))) (pow.f64 #s(literal 2 binary64) #s(literal -1/4 binary64))) (pow.f64 y #s(literal -1/4 binary64)))
(.f64 (.f64 (.f64 (pow.f64 (.f64 y #s(literal 2 binary64)) #s(literal -1/2 binary64)) (.f64 x (pow.f64 (.f64 y #s(literal 2 binary64)) #s(literal -1/4 binary64)))) (pow.f64 (.f64 y #s(literal 2 binary64)) #s(literal -1/8 binary64))) (pow.f64 (.f64 y #s(literal 2 binary64)) #s(literal -1/8 binary64)))
(.f64 (.f64 (.f64 (pow.f64 (.f64 y #s(literal 2 binary64)) #s(literal -1/2 binary64)) (*.f64 x (pow.f64 y #s(literal -1/2 binary64)))) (pow.f64 #s(literal 2 binary64) #s(literal -1/4 binary64))) (pow.f64 #s(literal 2 binary64) #s(literal -1/4 binary64)))
(.f64 (.f64 (.f64 x (neg.f64 x)) (/.f64 #s(literal 1 binary64) (.f64 y x))) #s(literal -1/2 binary64))
(.f64 (.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)) (/.f64 (*.f64 x (neg.f64 x)) y))
(.f64 (.f64 (/.f64 #s(literal 1 binary64) x) x) (/.f64 x (*.f64 y #s(literal 2 binary64))))
(.f64 (.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 x (*.f64 y #s(literal 2 binary64)))) x)
(.f64 (.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 x (neg.f64 x))) (/.f64 #s(literal -1/2 binary64) y))
(.f64 (.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) (/.f64 (.f64 x x) (.f64 y #s(literal -2 binary64))))
(.f64 (.f64 (/.f64 #s(literal 1 binary64) x) (neg.f64 x)) (*.f64 #s(literal -1/2 binary64) (/.f64 x y)))
(.f64 (.f64 (/.f64 #s(literal 1 binary64) x) (.f64 (.f64 x x) #s(literal 1/2 binary64))) (/.f64 #s(literal 1 binary64) y))
(.f64 (.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1/2 binary64) y)) (*.f64 x x))
(.f64 (.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 #s(literal -1/2 binary64) (/.f64 x y))) (neg.f64 x))
(.f64 (.f64 (pow.f64 (.f64 y #s(literal 2 binary64)) #s(literal -3/4 binary64)) (pow.f64 y #s(literal -1/4 binary64))) (.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/4 binary64)) x))
(.f64 (.f64 (pow.f64 (.f64 y #s(literal 2 binary64)) #s(literal -3/4 binary64)) (pow.f64 (.f64 y #s(literal 2 binary64)) #s(literal -1/8 binary64))) (.f64 (pow.f64 (.f64 y #s(literal 2 binary64)) #s(literal -1/8 binary64)) x))
(.f64 (.f64 (pow.f64 (.f64 y #s(literal 2 binary64)) #s(literal -1/4 binary64)) (pow.f64 y #s(literal -3/4 binary64))) (.f64 (pow.f64 #s(literal 2 binary64) #s(literal -3/4 binary64)) x))
(.f64 (.f64 (pow.f64 (.f64 y #s(literal 2 binary64)) #s(literal -1/4 binary64)) (pow.f64 (.f64 y #s(literal 2 binary64)) #s(literal -3/8 binary64))) (.f64 (pow.f64 (.f64 y #s(literal 2 binary64)) #s(literal -3/8 binary64)) x))
(.f64 (.f64 (.f64 x (pow.f64 (.f64 y #s(literal 2 binary64)) #s(literal -1/4 binary64))) (pow.f64 #s(literal 2 binary64) #s(literal -3/4 binary64))) (pow.f64 y #s(literal -3/4 binary64)))
(.f64 (.f64 (.f64 x (pow.f64 (.f64 y #s(literal 2 binary64)) #s(literal -3/4 binary64))) (pow.f64 #s(literal 2 binary64) #s(literal -1/4 binary64))) (pow.f64 y #s(literal -1/4 binary64)))
(.f64 (.f64 (.f64 (pow.f64 (.f64 y #s(literal 2 binary64)) #s(literal -1/4 binary64)) (*.f64 x (pow.f64 y #s(literal -3/4 binary64)))) (pow.f64 #s(literal 2 binary64) #s(literal -3/8 binary64))) (pow.f64 #s(literal 2 binary64) #s(literal -3/8 binary64)))
(.f64 (.f64 (.f64 (pow.f64 (.f64 y #s(literal 2 binary64)) #s(literal -1/4 binary64)) (.f64 x (pow.f64 (.f64 y #s(literal 2 binary64)) #s(literal -3/8 binary64)))) (pow.f64 y #s(literal -3/8 binary64))) (pow.f64 #s(literal 2 binary64) #s(literal -3/8 binary64)))
(.f64 (.f64 (.f64 (pow.f64 (.f64 y #s(literal 2 binary64)) #s(literal -1/4 binary64)) (.f64 x (pow.f64 (.f64 y #s(literal 2 binary64)) #s(literal -3/8 binary64)))) (pow.f64 #s(literal 2 binary64) #s(literal -3/8 binary64))) (pow.f64 y #s(literal -3/8 binary64)))
(.f64 (.f64 (.f64 (pow.f64 (.f64 y #s(literal 2 binary64)) #s(literal -1/4 binary64)) (.f64 x (pow.f64 (.f64 y #s(literal 2 binary64)) #s(literal -3/8 binary64)))) (pow.f64 (.f64 y #s(literal 2 binary64)) #s(literal -3/16 binary64))) (pow.f64 (.f64 y #s(literal 2 binary64)) #s(literal -3/16 binary64)))
(.f64 (.f64 (.f64 (pow.f64 (.f64 y #s(literal 2 binary64)) #s(literal -3/4 binary64)) (*.f64 x (pow.f64 y #s(literal -1/4 binary64)))) (pow.f64 #s(literal 2 binary64) #s(literal -1/8 binary64))) (pow.f64 #s(literal 2 binary64) #s(literal -1/8 binary64)))
(.f64 (.f64 (.f64 (pow.f64 (.f64 y #s(literal 2 binary64)) #s(literal -3/4 binary64)) (.f64 x (pow.f64 (.f64 y #s(literal 2 binary64)) #s(literal -1/8 binary64)))) (pow.f64 y #s(literal -1/8 binary64))) (pow.f64 #s(literal 2 binary64) #s(literal -1/8 binary64)))
(.f64 (.f64 (.f64 (pow.f64 (.f64 y #s(literal 2 binary64)) #s(literal -3/4 binary64)) (.f64 x (pow.f64 (.f64 y #s(literal 2 binary64)) #s(literal -1/8 binary64)))) (pow.f64 #s(literal 2 binary64) #s(literal -1/8 binary64))) (pow.f64 y #s(literal -1/8 binary64)))
(.f64 (.f64 (.f64 (pow.f64 (.f64 y #s(literal 2 binary64)) #s(literal -3/4 binary64)) (.f64 x (pow.f64 (.f64 y #s(literal 2 binary64)) #s(literal -1/8 binary64)))) (pow.f64 (.f64 y #s(literal 2 binary64)) #s(literal -1/16 binary64))) (pow.f64 (.f64 y #s(literal 2 binary64)) #s(literal -1/16 binary64)))
(.f64 (.f64 (neg.f64 x) #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) y))
(.f64 (.f64 (neg.f64 x) #s(literal 1/2 binary64)) (/.f64 #s(literal -1 binary64) y))
(.f64 (.f64 (/.f64 #s(literal -1/2 binary64) (.f64 x (.f64 y x))) x) (neg.f64 (/.f64 (.f64 x (.f64 x x)) x)))
(.f64 (.f64 (/.f64 #s(literal -1/2 binary64) (.f64 x (.f64 y x))) (.f64 x (neg.f64 (.f64 x (*.f64 x x))))) (/.f64 #s(literal 1 binary64) x))
(.f64 (.f64 (/.f64 #s(literal -1/2 binary64) (.f64 x (.f64 y x))) #s(literal -1 binary64)) (/.f64 (.f64 x (.f64 x (*.f64 x x))) x))
(.f64 (.f64 (/.f64 #s(literal -1/2 binary64) (.f64 x (.f64 y x))) (neg.f64 x)) (/.f64 (.f64 x (.f64 x x)) x))
(.f64 (.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) #s(literal -1/2 binary64)) (.f64 (/.f64 #s(literal 1 binary64) (.f64 y x)) (.f64 x (neg.f64 (.f64 x (.f64 x x))))))
(.f64 (.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) x) (/.f64 (.f64 x x) (*.f64 y #s(literal 2 binary64))))
(.f64 (.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (.f64 x (.f64 x (.f64 x x)))) (/.f64 #s(literal 1/2 binary64) (*.f64 y x)))
(.f64 (.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (.f64 x (neg.f64 (.f64 x (.f64 x x))))) (/.f64 #s(literal -1/2 binary64) (*.f64 y x)))
(.f64 (.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (/.f64 #s(literal -1/2 binary64) (.f64 y x))) (.f64 x (neg.f64 (.f64 x (*.f64 x x)))))
(.f64 (.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) #s(literal -1 binary64)) (.f64 (.f64 x x) (.f64 #s(literal -1/2 binary64) (/.f64 x y))))
(.f64 (.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (neg.f64 x)) (/.f64 (.f64 x x) (*.f64 y #s(literal -2 binary64))))
(.f64 (.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (neg.f64 (.f64 x (*.f64 x x)))) (/.f64 #s(literal -1/2 binary64) y))
(.f64 (.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/2 binary64))))) (/.f64 #s(literal 1 binary64) (.f64 y x)))
(.f64 (.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (/.f64 (.f64 x (.f64 x (.f64 x x))) (neg.f64 y))) (/.f64 #s(literal -1/2 binary64) x))
(.f64 (.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (.f64 (/.f64 #s(literal -1/2 binary64) (.f64 y x)) x)) (neg.f64 (.f64 x (*.f64 x x))))
(.f64 (.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (/.f64 #s(literal 1/2 binary64) (.f64 y x))) (.f64 x (.f64 x (*.f64 x x))))
(.f64 (.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (.f64 (/.f64 #s(literal 1/2 binary64) (.f64 y x)) x)) (.f64 x (*.f64 x x)))
(.f64 (.f64 (/.f64 #s(literal -1/2 binary64) (.f64 x (.f64 y (.f64 x x)))) x) (neg.f64 (.f64 x (*.f64 x x))))
(.f64 (.f64 (/.f64 #s(literal -1/2 binary64) (.f64 x (.f64 y (.f64 x x)))) (.f64 x x)) (*.f64 x (neg.f64 x)))
(.f64 (.f64 (/.f64 #s(literal -1/2 binary64) (.f64 x (.f64 y (.f64 x x)))) (.f64 x (*.f64 x x))) (neg.f64 x))
(.f64 (.f64 (/.f64 #s(literal -1/2 binary64) (.f64 x (.f64 y (.f64 x x)))) (.f64 x (neg.f64 x))) (*.f64 x x))
(.f64 (.f64 (/.f64 #s(literal -1/2 binary64) (.f64 x (.f64 y (.f64 x x)))) #s(literal -1 binary64)) (.f64 x (.f64 x (.f64 x x))))
(.f64 (.f64 (/.f64 #s(literal -1/2 binary64) (.f64 x (.f64 y (.f64 x x)))) (neg.f64 x)) (.f64 x (*.f64 x x)))
(.f64 (.f64 (/.f64 #s(literal -1/2 binary64) (.f64 x (.f64 y (.f64 x x)))) (neg.f64 (.f64 x (*.f64 x x)))) x)

eval1.0s (6.9%)

Memory: -29.2MiB live, 1 003.6MiB allocated
Compiler: Compiled 93 155 to 7 403 computations (92.1% saved)

prune1.2s (8.4%)

Memory

-17.8MiB live, 1 741.0MiB allocated

Pruning

126 alts after pruning (119 fresh and 7 done)

	Pruned	Kept	Total
New	3 700	53	3 753
Fresh	41	66	107
Picked	1	4	5
Done	0	3	3
Total	3 742	126	3 868

Accuracy

62.9%

Counts

3 868 → 126

Alt Table

Click to see full alt table

Status	Accuracy	Program
	52.6%	(pow.f64 (fma.f64 (cos.f64 (/.f64 x y)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) #s(literal -1/2 binary64))
	52.6%	(pow.f64 (pow.f64 (cos.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) #s(literal 4 binary64)) #s(literal -1/4 binary64))
	50.5%	(pow.f64 (pow.f64 (cos.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) #s(literal -1/2 binary64)) #s(literal 2 binary64))
	4.8%	(pow.f64 (/.f64 (+.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (/.f64 (+.f64 x x) y)))) #s(literal -1 binary64)) (.f64 #s(literal 2 binary64) (+.f64 (cos.f64 (/.f64 x y)) #s(literal -1 binary64)))) #s(literal -1/2 binary64))
	50.3%	(pow.f64 (/.f64 (+.f64 (cos.f64 (fma.f64 x (/.f64 #s(literal -1/2 binary64) y) (/.f64 x (.f64 y #s(literal 2 binary64))))) (cos.f64 (-.f64 (/.f64 x (.f64 y #s(literal -2 binary64))) (/.f64 x (*.f64 y #s(literal 2 binary64)))))) #s(literal 2 binary64)) #s(literal -1/2 binary64))
	52.6%	(pow.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x y))))) #s(literal -1/2 binary64))
	50.7%	(pow.f64 (.f64 (cos.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) (cos.f64 (/.f64 x (exp.f64 (log.f64 (*.f64 y #s(literal 2 binary64))))))) #s(literal -1/2 binary64))
	52.1%	(pow.f64 (.f64 (cos.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) (cos.f64 (/.f64 #s(literal 1 binary64) (/.f64 y (*.f64 x #s(literal 1/2 binary64)))))) #s(literal -1/2 binary64))
	45.5%	(pow.f64 (.f64 (cos.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) (cos.f64 (.f64 (pow.f64 (.f64 (.f64 y #s(literal 2 binary64)) y) #s(literal -1/2 binary64)) (.f64 x (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)))))) #s(literal -1/2 binary64))
	51.5%	(pow.f64 (.f64 (cos.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) (cos.f64 (.f64 (pow.f64 y #s(literal -1/2 binary64)) (.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 y #s(literal -1/2 binary64))) x)))) #s(literal -1/2 binary64))
	52.2%	(pow.f64 (.f64 (cos.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) (cos.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x))) #s(literal -1/2 binary64))
	43.6%	(pow.f64 (.f64 (cos.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) (cos.f64 (.f64 (neg.f64 x) (.f64 x (/.f64 #s(literal -1/2 binary64) (*.f64 x y)))))) #s(literal -1/2 binary64))
▶	49.8%	(pow.f64 (.f64 (cos.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) #s(approx (cos (/ x (* y 2))) #s(literal 1 binary64))) #s(literal -1/2 binary64))
	6.5%	(/.f64 (/.f64 (.f64 (neg.f64 (pow.f64 (sin.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) #s(literal 3 binary64))) (/.f64 #s(literal -1 binary64) (cos.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))))) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (/.f64 x y))))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
	19.5%	(/.f64 (/.f64 (sin.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) (cos.f64 (/.f64 x (.f64 y #s(literal 2 binary64))))) (sin.f64 (/.f64 (.f64 (/.f64 #s(literal -1/2 binary64) y) (neg.f64 (.f64 x x))) x)))
	40.5%	(/.f64 (/.f64 (sin.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) (cos.f64 (/.f64 x (.f64 y #s(literal 2 binary64))))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
	39.7%	(/.f64 (/.f64 #s(literal 1 binary64) (sin.f64 (/.f64 x (.f64 y #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) (tan.f64 (/.f64 x (.f64 y #s(literal 2 binary64))))))
	8.9%	(/.f64 (tan.f64 (/.f64 (.f64 (neg.f64 (.f64 x (.f64 x (.f64 x x)))) (/.f64 #s(literal -1/2 binary64) (.f64 x y))) (.f64 x x))) (sin.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)))
	12.0%	(/.f64 (tan.f64 (/.f64 (.f64 (neg.f64 x) (.f64 (/.f64 (.f64 x (.f64 x x)) x) (/.f64 #s(literal -1/2 binary64) y))) (.f64 x x))) (sin.f64 (/.f64 (.f64 (/.f64 #s(literal -1/2 binary64) y) (neg.f64 (*.f64 x x))) x)))
	19.4%	(/.f64 (tan.f64 (/.f64 (.f64 x x) (.f64 y (+.f64 x x)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
	37.2%	(/.f64 (tan.f64 (/.f64 x (.f64 (exp.f64 (log.f64 y)) (exp.f64 (log.f64 #s(literal 2 binary64)))))) (sin.f64 (.f64 (pow.f64 (.f64 y #s(literal 2 binary64)) #s(literal -3/4 binary64)) (.f64 x (pow.f64 (*.f64 y #s(literal 2 binary64)) #s(literal -1/4 binary64))))))
	39.6%	(/.f64 (tan.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))))))
	19.4%	(/.f64 (tan.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 (/.f64 (.f64 (*.f64 x x) #s(literal 1/2 binary64)) y) x)))
	40.2%	(/.f64 (tan.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) x))) y)))
	19.5%	(/.f64 (tan.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 y (.f64 (*.f64 x x) #s(literal 1/2 binary64))))))
	27.7%	(/.f64 (tan.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 (-.f64 (.f64 #s(literal 0 binary64) (/.f64 (.f64 y #s(literal -2 binary64)) x)) (.f64 y #s(literal -2 binary64))) (.f64 (.f64 y #s(literal -2 binary64)) (/.f64 (*.f64 y #s(literal -2 binary64)) x)))))
	28.1%	(/.f64 (tan.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 (.f64 (.f64 x (pow.f64 (.f64 y #s(literal 2 binary64)) #s(literal -1/2 binary64))) (.f64 x (pow.f64 (.f64 y #s(literal 2 binary64)) #s(literal -1/2 binary64)))) x)))
▶	6.1%	(/.f64 (tan.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 (.f64 (neg.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))))) (/.f64 #s(literal -1/2 binary64) y)) (.f64 (.f64 x (.f64 x (*.f64 x x))) x))))
	19.3%	(/.f64 (tan.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 (.f64 x x) (*.f64 y (+.f64 x x)))))
	15.5%	(/.f64 (tan.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (/.f64 (neg.f64 (.f64 (.f64 y #s(literal 2 binary64)) (.f64 #s(literal 4 binary64) (.f64 y y)))) (neg.f64 (.f64 #s(literal 4 binary64) (*.f64 y y)))))))
✓	40.5%	(/.f64 (tan.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))))
	37.8%	(/.f64 (tan.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (exp.f64 (neg.f64 (.f64 #s(literal -1 binary64) (log.f64 (*.f64 y #s(literal 2 binary64)))))))))
	39.7%	(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 y x))))
	19.3%	(/.f64 (tan.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 #s(literal -1 binary64) (.f64 (/.f64 y (.f64 (.f64 x x) #s(literal 1/2 binary64))) (neg.f64 x)))))
	38.6%	(/.f64 (tan.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) (sin.f64 (.f64 (pow.f64 (.f64 y #s(literal 2 binary64)) #s(literal -3/4 binary64)) (.f64 x (pow.f64 (*.f64 (exp.f64 (log.f64 y)) (exp.f64 (log.f64 #s(literal 2 binary64)))) #s(literal -1/4 binary64))))))
✓	40.0%	(/.f64 (tan.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) (sin.f64 (.f64 (pow.f64 (.f64 y #s(literal 2 binary64)) #s(literal -3/4 binary64)) (.f64 x (pow.f64 (*.f64 y #s(literal 2 binary64)) #s(literal -1/4 binary64))))))
	38.3%	(/.f64 (tan.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) (sin.f64 (.f64 (pow.f64 (.f64 y #s(literal 2 binary64)) #s(literal -3/4 binary64)) (.f64 x (pow.f64 (exp.f64 (log.f64 (*.f64 y #s(literal 2 binary64)))) #s(literal -1/4 binary64))))))
	40.2%	(/.f64 (tan.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) (sin.f64 (.f64 (pow.f64 y #s(literal -1/4 binary64)) (.f64 (pow.f64 y #s(literal -1/4 binary64)) (.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 y #s(literal -1/2 binary64))) x)))))
	39.9%	(/.f64 (tan.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) (sin.f64 (.f64 (pow.f64 y #s(literal -1/2 binary64)) (.f64 (.f64 #s(literal 1/2 binary64) (pow.f64 y #s(literal -1/2 binary64))) x))))
	39.9%	(/.f64 (tan.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) (sin.f64 (.f64 (/.f64 #s(literal 1/2 binary64) y) x)))
	19.3%	(/.f64 (tan.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) (sin.f64 (.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 (*.f64 x x) y))))
	40.1%	(/.f64 (tan.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) (sin.f64 (.f64 (.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 x (.f64 y #s(literal 2 binary64)))) x)))
	19.4%	(/.f64 (tan.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) (sin.f64 (.f64 (.f64 x x) (/.f64 #s(literal 1/2 binary64) (.f64 y x)))))
	36.3%	(/.f64 (tan.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) (sin.f64 (exp.f64 (.f64 (log.f64 (/.f64 y (*.f64 #s(literal 1/2 binary64) x))) #s(literal -1 binary64)))))
	5.0%	(/.f64 (tan.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) (sin.f64 #s(approx ( (pow (* y 2) -3/4) (* x (pow (* y 2) -1/4))) (neg.f64 (/.f64 (*.f64 x (pow.f64 #s(literal 1/16 binary64) #s(literal 1/4 binary64))) y)))))
	37.0%	(/.f64 (tan.f64 (/.f64 x (exp.f64 (neg.f64 (.f64 #s(literal -1 binary64) (log.f64 (.f64 y #s(literal 2 binary64)))))))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
	18.2%	(/.f64 (tan.f64 (/.f64 x (exp.f64 (log.f64 (.f64 y #s(literal 2 binary64)))))) (sin.f64 (/.f64 (.f64 (/.f64 #s(literal -1/2 binary64) y) (neg.f64 (*.f64 x x))) x)))
	35.9%	(/.f64 (tan.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 y x))) (sin.f64 (/.f64 x (*.f64 (exp.f64 (log.f64 y)) (exp.f64 (log.f64 #s(literal 2 binary64)))))))
✓	39.5%	(/.f64 (tan.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 y x))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
	36.9%	(/.f64 (tan.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 y x))) (sin.f64 (/.f64 x (exp.f64 (log.f64 (*.f64 y #s(literal 2 binary64)))))))
	39.0%	(/.f64 (tan.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 y x))) (sin.f64 (.f64 (.f64 (.f64 (pow.f64 (.f64 y #s(literal 2 binary64)) #s(literal -1/4 binary64)) (*.f64 x (pow.f64 y #s(literal -3/4 binary64)))) (pow.f64 #s(literal 2 binary64) #s(literal -3/8 binary64))) (pow.f64 #s(literal 2 binary64) #s(literal -3/8 binary64)))))
	36.2%	(/.f64 (tan.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 y x))) (sin.f64 (exp.f64 (.f64 (log.f64 (/.f64 y (.f64 #s(literal 1/2 binary64) x))) #s(literal -1 binary64)))))
	39.4%	(/.f64 (tan.f64 (/.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 (/.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) x)))) (sin.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))))
	36.8%	(/.f64 (tan.f64 (/.f64 #s(literal 1/2 binary64) (exp.f64 (.f64 (log.f64 (/.f64 x y)) #s(literal -1 binary64))))) (sin.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))))
▶	22.6%	(/.f64 (tan.f64 (.f64 (pow.f64 (.f64 (.f64 y #s(literal 2 binary64)) y) #s(literal -1/2 binary64)) (.f64 x (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64))))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
	37.6%	(/.f64 (tan.f64 (.f64 (pow.f64 (.f64 (exp.f64 (log.f64 y)) (exp.f64 (log.f64 #s(literal 2 binary64)))) #s(literal -1/2 binary64)) (.f64 (pow.f64 (.f64 y #s(literal 2 binary64)) #s(literal -1/2 binary64)) x))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
	39.8%	(/.f64 (tan.f64 (.f64 (pow.f64 (.f64 y #s(literal 2 binary64)) #s(literal -1/2 binary64)) (/.f64 (pow.f64 (.f64 y #s(literal 2 binary64)) #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) x)))) (sin.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))))
	38.0%	(/.f64 (tan.f64 (.f64 (pow.f64 (.f64 y #s(literal 2 binary64)) #s(literal -1/2 binary64)) (.f64 (exp.f64 (.f64 #s(literal -1/2 binary64) (log.f64 (.f64 y #s(literal 2 binary64))))) x))) (sin.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))))
	39.7%	(/.f64 (tan.f64 (.f64 (pow.f64 (.f64 y #s(literal 2 binary64)) #s(literal -1/2 binary64)) (.f64 #s(approx (pow ( y 2) -1/2) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))) x))) (sin.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))))
	22.3%	(/.f64 (tan.f64 (.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 (.f64 x x) x))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
	40.0%	(/.f64 (tan.f64 (.f64 (/.f64 #s(literal 1/2 binary64) y) x)) (sin.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))))
	13.8%	(/.f64 (tan.f64 (.f64 (/.f64 #s(literal -1/2 binary64) (.f64 x (.f64 y x))) (neg.f64 (.f64 x (.f64 x x))))) (sin.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))))
	40.3%	(/.f64 (tan.f64 (.f64 (.f64 (pow.f64 (.f64 y #s(literal 2 binary64)) #s(literal -1/4 binary64)) (.f64 x (pow.f64 (.f64 y #s(literal 2 binary64)) #s(literal -3/8 binary64)))) (pow.f64 (.f64 y #s(literal 2 binary64)) #s(literal -3/8 binary64)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
	39.9%	(/.f64 (tan.f64 (.f64 (.f64 (pow.f64 (.f64 y #s(literal 2 binary64)) #s(literal -1/2 binary64)) (.f64 x (pow.f64 y #s(literal -1/2 binary64)))) (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
	18.3%	(/.f64 (tan.f64 (.f64 (.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) x) (/.f64 (.f64 x x) (.f64 y #s(literal 2 binary64))))) (sin.f64 (/.f64 (.f64 (/.f64 #s(literal -1/2 binary64) y) (neg.f64 (*.f64 x x))) x)))
	39.9%	(/.f64 (tan.f64 (.f64 #s(approx (pow ( y 2) -1/2) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))) (.f64 (pow.f64 (.f64 y #s(literal 2 binary64)) #s(literal -1/2 binary64)) x))) (sin.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))))
	36.2%	(/.f64 (tan.f64 (exp.f64 (.f64 (log.f64 (/.f64 y (.f64 #s(literal 1/2 binary64) x))) #s(literal -1 binary64)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
	40.2%	(/.f64 (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (/.f64 (sin.f64 (/.f64 x y)) #s(literal 2 binary64)))
	20.1%	(/.f64 (neg.f64 (pow.f64 (tan.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) #s(literal 3 binary64))) (.f64 (sin.f64 (/.f64 x (.f64 y #s(literal -2 binary64)))) (pow.f64 (tan.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) #s(literal 2 binary64))))
	52.6%	(/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (/.f64 x y)) #s(literal 1/2 binary64)) #s(literal 1/2 binary64)))
	40.2%	(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (sin.f64 (/.f64 x y)) #s(literal 2 binary64)) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))))
	39.7%	(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (tan.f64 (/.f64 x (.f64 y #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) (sin.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))))))
	40.5%	(/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) (tan.f64 (/.f64 x (.f64 y #s(literal 2 binary64))))))
	48.7%	(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 (/.f64 (.f64 x x) (.f64 y #s(literal 2 binary64))) x)))
	20.6%	(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (.f64 #s(literal 1 binary64) (/.f64 y (.f64 x (.f64 (*.f64 x x) #s(literal 1/2 binary64))))))))
	53.7%	(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 2 binary64) x))))
	52.9%	(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 (.f64 x (/.f64 x (.f64 y #s(literal 2 binary64)))) x)))
	41.6%	(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 (.f64 x x) (.f64 y (+.f64 x x)))))
	54.0%	(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x (*.f64 (exp.f64 (log.f64 y)) (exp.f64 (log.f64 #s(literal 2 binary64)))))))
✓	53.8%	(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
	53.8%	(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x (exp.f64 (log.f64 (*.f64 y #s(literal 2 binary64)))))))
	41.8%	(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 #s(literal 1 binary64) (/.f64 (.f64 y x) (.f64 (*.f64 x x) #s(literal 1/2 binary64))))))
	53.7%	(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 y x))))
	54.0%	(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 #s(literal -1 binary64) x) y))))
	49.4%	(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 #s(literal -1 binary64) (.f64 (/.f64 y (.f64 (*.f64 x x) #s(literal 1/2 binary64))) (neg.f64 x)))))
	54.0%	(/.f64 #s(literal 1 binary64) (cos.f64 (.f64 (pow.f64 (pow.f64 (.f64 y #s(literal 2 binary64)) #s(literal -1/8 binary64)) #s(literal 4 binary64)) (.f64 x (pow.f64 (.f64 y #s(literal 2 binary64)) #s(literal -1/2 binary64))))))
	53.9%	(/.f64 #s(literal 1 binary64) (cos.f64 (.f64 (pow.f64 (/.f64 y (.f64 #s(literal 1/2 binary64) x)) #s(literal -1/2 binary64)) (pow.f64 (/.f64 y (*.f64 #s(literal 1/2 binary64) x)) #s(literal -1/2 binary64)))))
	53.5%	(/.f64 #s(literal 1 binary64) (cos.f64 (.f64 (pow.f64 (.f64 (exp.f64 (log.f64 y)) (exp.f64 (log.f64 #s(literal 2 binary64)))) #s(literal -1/2 binary64)) (.f64 x (pow.f64 (.f64 y #s(literal 2 binary64)) #s(literal -1/2 binary64))))))
	54.1%	(/.f64 #s(literal 1 binary64) (cos.f64 (.f64 (pow.f64 (.f64 y #s(literal 2 binary64)) #s(literal -1/2 binary64)) (.f64 x (pow.f64 (pow.f64 (.f64 y #s(literal 2 binary64)) #s(literal -1/8 binary64)) #s(literal 4 binary64))))))
	53.8%	(/.f64 #s(literal 1 binary64) (cos.f64 (.f64 (pow.f64 (.f64 y #s(literal 2 binary64)) #s(literal -1/2 binary64)) (.f64 x (pow.f64 (.f64 (exp.f64 (log.f64 y)) (exp.f64 (log.f64 #s(literal 2 binary64)))) #s(literal -1/2 binary64))))))
✓	54.4%	(/.f64 #s(literal 1 binary64) (cos.f64 (.f64 (pow.f64 (.f64 y #s(literal 2 binary64)) #s(literal -1/2 binary64)) (.f64 x (pow.f64 (.f64 y #s(literal 2 binary64)) #s(literal -1/2 binary64))))))
	53.8%	(/.f64 #s(literal 1 binary64) (cos.f64 (.f64 (pow.f64 (.f64 y #s(literal 2 binary64)) #s(literal -1/2 binary64)) (.f64 x (pow.f64 (exp.f64 (log.f64 (.f64 y #s(literal 2 binary64)))) #s(literal -1/2 binary64))))))
	53.7%	(/.f64 #s(literal 1 binary64) (cos.f64 (.f64 (pow.f64 (.f64 y #s(literal 2 binary64)) #s(literal -1/2 binary64)) (.f64 x (pow.f64 (exp.f64 #s(literal -1/2 binary64)) (log.f64 (.f64 y #s(literal 2 binary64))))))))
	53.6%	(/.f64 #s(literal 1 binary64) (cos.f64 (.f64 (pow.f64 (.f64 y #s(literal 2 binary64)) #s(literal -1/2 binary64)) (.f64 x (exp.f64 (.f64 #s(literal -1/2 binary64) (log.f64 (*.f64 y #s(literal 2 binary64)))))))))
	54.1%	(/.f64 #s(literal 1 binary64) (cos.f64 (.f64 (pow.f64 (.f64 y #s(literal 2 binary64)) #s(literal -1/2 binary64)) (.f64 x #s(approx (pow ( y 2) -1/2) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) y))))))))
	53.5%	(/.f64 #s(literal 1 binary64) (cos.f64 (.f64 (pow.f64 (exp.f64 #s(literal -1/2 binary64)) (log.f64 (.f64 y #s(literal 2 binary64)))) (.f64 x (pow.f64 (.f64 y #s(literal 2 binary64)) #s(literal -1/2 binary64))))))
	53.4%	(/.f64 #s(literal 1 binary64) (cos.f64 (.f64 (/.f64 x (.f64 y #s(literal -2 binary64))) (*.f64 x (/.f64 #s(literal -1 binary64) x)))))
	22.7%	(/.f64 #s(literal 1 binary64) (cos.f64 (.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (.f64 x (/.f64 (.f64 x x) (*.f64 y #s(literal 2 binary64)))))))
	52.8%	(/.f64 #s(literal 1 binary64) (cos.f64 (.f64 (/.f64 #s(literal 1 binary64) x) (.f64 x (/.f64 x (*.f64 y #s(literal 2 binary64)))))))
	49.1%	(/.f64 #s(literal 1 binary64) (cos.f64 (.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 (.f64 x x) x))))
	53.5%	(/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)))
	27.7%	(/.f64 #s(literal 1 binary64) (cos.f64 (.f64 (/.f64 #s(literal -1/2 binary64) (.f64 x (.f64 y x))) (neg.f64 (.f64 x (*.f64 x x))))))
▶	54.6%	(/.f64 #s(literal 1 binary64) (cos.f64 (.f64 (.f64 (pow.f64 y #s(literal -1/8 binary64)) (.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/8 binary64)) (pow.f64 (.f64 y #s(literal 2 binary64)) #s(literal -3/8 binary64)))) (.f64 x (pow.f64 (.f64 y #s(literal 2 binary64)) #s(literal -1/2 binary64))))))
	23.0%	(/.f64 #s(literal 1 binary64) (cos.f64 (.f64 (.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) x) (/.f64 (.f64 x x) (*.f64 y #s(literal 2 binary64))))))
	27.8%	(/.f64 #s(literal 1 binary64) (cos.f64 (.f64 (.f64 (/.f64 #s(literal -1/2 binary64) (.f64 x (.f64 y x))) (neg.f64 x)) (/.f64 (.f64 x (.f64 x x)) x))))
	41.5%	(/.f64 #s(literal 1 binary64) (cos.f64 (.f64 (.f64 x x) (/.f64 #s(literal 1/2 binary64) (*.f64 y x)))))
	44.7%	(/.f64 #s(literal 1 binary64) (cos.f64 (.f64 (.f64 #s(literal 1/2 binary64) x) (/.f64 x (*.f64 x y)))))
	53.4%	(/.f64 #s(literal 1 binary64) (cos.f64 (.f64 (exp.f64 (.f64 #s(literal -1/2 binary64) (log.f64 (.f64 y #s(literal 2 binary64))))) (.f64 x (pow.f64 (*.f64 y #s(literal 2 binary64)) #s(literal -1/2 binary64))))))
	53.9%	(/.f64 #s(literal 1 binary64) (cos.f64 (exp.f64 (.f64 (log.f64 (/.f64 y (.f64 #s(literal 1/2 binary64) x))) #s(literal -1 binary64)))))
	10.2%	(/.f64 #s(literal 1 binary64) #s(approx (cos (/ x (* y 2))) (fma.f64 (/.f64 (/.f64 (neg.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))))) (neg.f64 (fma.f64 (.f64 x x) (.f64 x x) #s(literal 0 binary64)))) (.f64 y y)) #s(literal -1/8 binary64) #s(literal 1 binary64))))
✓	42.6%	(/.f64 #s(literal 1 binary64) #s(approx (cos (/ x (* y 2))) (fma.f64 (/.f64 (.f64 x x) (.f64 y y)) #s(literal -1/8 binary64) #s(literal 1 binary64))))
	47.3%	(/.f64 #s(literal 1 binary64) #s(approx (cos (/ x (* y 2))) (fma.f64 (/.f64 (*.f64 x x) y) (/.f64 #s(literal -1/8 binary64) y) #s(literal 1 binary64))))
	49.8%	(/.f64 #s(literal 1 binary64) #s(approx (cos (/ x (* y 2))) (fma.f64 (/.f64 x y) (/.f64 (*.f64 x #s(literal -1/8 binary64)) y) #s(literal 1 binary64))))
	49.8%	(/.f64 #s(literal 1 binary64) #s(approx (cos (/ x (* y 2))) (fma.f64 (/.f64 #s(literal 1 binary64) y) (.f64 x (.f64 (/.f64 x y) #s(literal -1/8 binary64))) #s(literal 1 binary64))))
	42.2%	(/.f64 #s(literal 1 binary64) #s(approx (cos (/ x (* y 2))) (fma.f64 (.f64 x x) (.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal -1/8 binary64) y)) #s(literal 1 binary64))))
	45.5%	(/.f64 #s(literal 1 binary64) #s(approx (cos (/ x (* y 2))) (fma.f64 x (.f64 x (/.f64 #s(literal -1/8 binary64) (.f64 y y))) #s(literal 1 binary64))))
	23.4%	(/.f64 #s(literal 1 binary64) #s(approx (cos (/ x (* y 2))) #s(approx (+ (* (/ (* x x) (* y y)) -1/8) 1) (/.f64 (fma.f64 x (.f64 x #s(literal -1/8 binary64)) (.f64 y y)) (*.f64 y y)))))
▶	1.9%	(/.f64 #s(literal 1 binary64) #s(approx (cos (/ x (* y 2))) #s(approx (+ (* (/ (* x x) (* y y)) -1/8) 1) (/.f64 (.f64 (.f64 x x) #s(literal -1/8 binary64)) (*.f64 y y)))))
	51.8%	(*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x y))) #s(literal -1/2 binary64)) (pow.f64 #s(literal 1/2 binary64) #s(literal -1/2 binary64)))
	6.5%	(.f64 (/.f64 (tan.f64 (/.f64 x (.f64 y #s(literal -2 binary64)))) (neg.f64 (pow.f64 (sin.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) #s(literal 3 binary64)))) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (/.f64 x y)))))
	7.1%	(.f64 (/.f64 (tan.f64 (/.f64 x (.f64 y #s(literal -2 binary64)))) (neg.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (/.f64 x y)))))) (sin.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))))
	39.7%	(.f64 (/.f64 #s(literal 1 binary64) (sin.f64 (/.f64 x (.f64 y #s(literal 2 binary64))))) (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
	39.7%	(.f64 (sin.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) (/.f64 (/.f64 #s(literal 1 binary64) (sin.f64 (/.f64 x (.f64 y #s(literal 2 binary64))))) (cos.f64 (/.f64 x (.f64 y #s(literal 2 binary64))))))
	50.5%	(exp.f64 (.f64 (log.f64 (cos.f64 (/.f64 x (.f64 y #s(literal 2 binary64))))) #s(literal -1 binary64)))
✓	53.9%	#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(literal 1 binary64))
	7.2%	#s(approx (/ (tan (/ x (* y 2))) (sin (* (pow (* y 2) -3/4) (* x (pow (* y 2) -1/4))))) (*.f64 #s(literal -1/2 binary64) (pow.f64 #s(literal 16 binary64) #s(literal 1/4 binary64))))

Compiler

Compiled 4 880 to 3 230 computations (33.8% saved)

simplify159.0ms (1.1%)

Memory

6.0MiB live, 242.3MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(pow.f64 (.f64 (.f64 y #s(literal 2 binary64)) y) #s(literal -1/2 binary64))
cost-diff	0	(.f64 (pow.f64 (.f64 (.f64 y #s(literal 2 binary64)) y) #s(literal -1/2 binary64)) (.f64 x (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64))))
cost-diff	0	(tan.f64 (.f64 (pow.f64 (.f64 (.f64 y #s(literal 2 binary64)) y) #s(literal -1/2 binary64)) (.f64 x (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)))))
cost-diff	0	(/.f64 (tan.f64 (.f64 (pow.f64 (.f64 (.f64 y #s(literal 2 binary64)) y) #s(literal -1/2 binary64)) (.f64 x (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64))))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
cost-diff	0	(tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))
cost-diff	0	(/.f64 (tan.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 (.f64 (neg.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))))) (/.f64 #s(literal -1/2 binary64) y)) (.f64 (.f64 x (.f64 x (*.f64 x x))) x))))
cost-diff	128	(.f64 (neg.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))))) (/.f64 #s(literal -1/2 binary64) y))
cost-diff	3584	(/.f64 (.f64 (neg.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))))) (/.f64 #s(literal -1/2 binary64) y)) (.f64 (.f64 x (.f64 x (.f64 x x))) x))
cost-diff	0	(/.f64 x (*.f64 y #s(literal 2 binary64)))
cost-diff	0	(cos.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))
cost-diff	0	(.f64 (cos.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) #s(approx (cos (/ x (* y 2))) #s(literal 1 binary64)))
cost-diff	0	(pow.f64 (.f64 (cos.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) #s(approx (cos (/ x (* y 2))) #s(literal 1 binary64))) #s(literal -1/2 binary64))
cost-diff	0	(/.f64 (.f64 (.f64 x x) #s(literal -1/8 binary64)) (*.f64 y y))
cost-diff	0	#s(approx (+ (* (/ (* x x) (* y y)) -1/8) 1) (/.f64 (.f64 (.f64 x x) #s(literal -1/8 binary64)) (*.f64 y y)))
cost-diff	0	#s(approx (cos (/ x (* y 2))) #s(approx (+ (* (/ (* x x) (* y y)) -1/8) 1) (/.f64 (.f64 (.f64 x x) #s(literal -1/8 binary64)) (*.f64 y y))))
cost-diff	0	(/.f64 #s(literal 1 binary64) #s(approx (cos (/ x (* y 2))) #s(approx (+ (* (/ (* x x) (* y y)) -1/8) 1) (/.f64 (.f64 (.f64 x x) #s(literal -1/8 binary64)) (*.f64 y y)))))
cost-diff	0	(.f64 (pow.f64 y #s(literal -1/8 binary64)) (.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/8 binary64)) (pow.f64 (*.f64 y #s(literal 2 binary64)) #s(literal -3/8 binary64))))
cost-diff	0	(.f64 (.f64 (pow.f64 y #s(literal -1/8 binary64)) (.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/8 binary64)) (pow.f64 (.f64 y #s(literal 2 binary64)) #s(literal -3/8 binary64)))) (.f64 x (pow.f64 (.f64 y #s(literal 2 binary64)) #s(literal -1/2 binary64))))
cost-diff	0	(cos.f64 (.f64 (.f64 (pow.f64 y #s(literal -1/8 binary64)) (.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/8 binary64)) (pow.f64 (.f64 y #s(literal 2 binary64)) #s(literal -3/8 binary64)))) (.f64 x (pow.f64 (.f64 y #s(literal 2 binary64)) #s(literal -1/2 binary64)))))
cost-diff	0	(/.f64 #s(literal 1 binary64) (cos.f64 (.f64 (.f64 (pow.f64 y #s(literal -1/8 binary64)) (.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/8 binary64)) (pow.f64 (.f64 y #s(literal 2 binary64)) #s(literal -3/8 binary64)))) (.f64 x (pow.f64 (.f64 y #s(literal 2 binary64)) #s(literal -1/2 binary64))))))

Rules

3 740×	`lower-*.f32`
3 706×	`lower-*.f64`
3 060×	`lower-neg.f32`
3 058×	`lower-neg.f64`
2 772×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	57	541
0	96	505
1	165	471
2	415	453
3	2030	441
4	4040	441
0	8092	438

Stop Event

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

Calls

Call 1

Inputs
(/.f64 #s(literal 1 binary64) (cos.f64 (.f64 (.f64 (pow.f64 y #s(literal -1/8 binary64)) (.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/8 binary64)) (pow.f64 (.f64 y #s(literal 2 binary64)) #s(literal -3/8 binary64)))) (.f64 x (pow.f64 (.f64 y #s(literal 2 binary64)) #s(literal -1/2 binary64))))))
#s(literal 1 binary64)
(cos.f64 (.f64 (.f64 (pow.f64 y #s(literal -1/8 binary64)) (.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/8 binary64)) (pow.f64 (.f64 y #s(literal 2 binary64)) #s(literal -3/8 binary64)))) (.f64 x (pow.f64 (.f64 y #s(literal 2 binary64)) #s(literal -1/2 binary64)))))
(.f64 (.f64 (pow.f64 y #s(literal -1/8 binary64)) (.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/8 binary64)) (pow.f64 (.f64 y #s(literal 2 binary64)) #s(literal -3/8 binary64)))) (.f64 x (pow.f64 (.f64 y #s(literal 2 binary64)) #s(literal -1/2 binary64))))
(.f64 (pow.f64 y #s(literal -1/8 binary64)) (.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/8 binary64)) (pow.f64 (*.f64 y #s(literal 2 binary64)) #s(literal -3/8 binary64))))
(pow.f64 y #s(literal -1/8 binary64))
y
#s(literal -1/8 binary64)
(.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/8 binary64)) (pow.f64 (.f64 y #s(literal 2 binary64)) #s(literal -3/8 binary64)))
(pow.f64 #s(literal 2 binary64) #s(literal -1/8 binary64))
#s(literal 2 binary64)
(pow.f64 (*.f64 y #s(literal 2 binary64)) #s(literal -3/8 binary64))
(*.f64 y #s(literal 2 binary64))
#s(literal -3/8 binary64)
(.f64 x (pow.f64 (.f64 y #s(literal 2 binary64)) #s(literal -1/2 binary64)))
x
(pow.f64 (*.f64 y #s(literal 2 binary64)) #s(literal -1/2 binary64))
#s(literal -1/2 binary64)
(/.f64 #s(literal 1 binary64) #s(approx (cos (/ x (* y 2))) #s(approx (+ (* (/ (* x x) (* y y)) -1/8) 1) (/.f64 (.f64 (.f64 x x) #s(literal -1/8 binary64)) (*.f64 y y)))))
#s(literal 1 binary64)
#s(approx (cos (/ x (* y 2))) #s(approx (+ (* (/ (* x x) (* y y)) -1/8) 1) (/.f64 (.f64 (.f64 x x) #s(literal -1/8 binary64)) (*.f64 y y))))
#s(approx (+ (* (/ (* x x) (* y y)) -1/8) 1) (/.f64 (.f64 (.f64 x x) #s(literal -1/8 binary64)) (*.f64 y y)))
(/.f64 (.f64 (.f64 x x) #s(literal -1/8 binary64)) (*.f64 y y))
(.f64 (.f64 x x) #s(literal -1/8 binary64))
(*.f64 x x)
x
#s(literal -1/8 binary64)
(*.f64 y y)
y
(pow.f64 (.f64 (cos.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) #s(approx (cos (/ x (* y 2))) #s(literal 1 binary64))) #s(literal -1/2 binary64))
(.f64 (cos.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) #s(approx (cos (/ x (* y 2))) #s(literal 1 binary64)))
(cos.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))
(/.f64 x (*.f64 y #s(literal 2 binary64)))
x
(*.f64 y #s(literal 2 binary64))
y
#s(literal 2 binary64)
#s(approx (cos (/ x (* y 2))) #s(literal 1 binary64))
#s(literal 1 binary64)
#s(literal -1/2 binary64)
(/.f64 (tan.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 (.f64 (neg.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))))) (/.f64 #s(literal -1/2 binary64) y)) (.f64 (.f64 x (.f64 x (*.f64 x x))) x))))
(tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))
(/.f64 x (*.f64 y #s(literal 2 binary64)))
x
(*.f64 y #s(literal 2 binary64))
y
#s(literal 2 binary64)
(sin.f64 (/.f64 (.f64 (neg.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))))) (/.f64 #s(literal -1/2 binary64) y)) (.f64 (.f64 x (.f64 x (.f64 x x))) x)))
(/.f64 (.f64 (neg.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))))) (/.f64 #s(literal -1/2 binary64) y)) (.f64 (.f64 x (.f64 x (.f64 x x))) x))
(.f64 (neg.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))))) (/.f64 #s(literal -1/2 binary64) y))
(neg.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (*.f64 x x)))))
(.f64 (.f64 x x) (.f64 x (.f64 x (*.f64 x x))))
(*.f64 x x)
(.f64 x (.f64 x (*.f64 x x)))
(.f64 x (.f64 x x))
(/.f64 #s(literal -1/2 binary64) y)
#s(literal -1/2 binary64)
(.f64 (.f64 x (.f64 x (.f64 x x))) x)
(/.f64 (tan.f64 (.f64 (pow.f64 (.f64 (.f64 y #s(literal 2 binary64)) y) #s(literal -1/2 binary64)) (.f64 x (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64))))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
(tan.f64 (.f64 (pow.f64 (.f64 (.f64 y #s(literal 2 binary64)) y) #s(literal -1/2 binary64)) (.f64 x (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)))))
(.f64 (pow.f64 (.f64 (.f64 y #s(literal 2 binary64)) y) #s(literal -1/2 binary64)) (.f64 x (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64))))
(pow.f64 (.f64 (.f64 y #s(literal 2 binary64)) y) #s(literal -1/2 binary64))
(.f64 (.f64 y #s(literal 2 binary64)) y)
(*.f64 y #s(literal 2 binary64))
y
#s(literal 2 binary64)
#s(literal -1/2 binary64)
(*.f64 x (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)))
x
(pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64))
(sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))
(/.f64 x (*.f64 y #s(literal 2 binary64)))

Outputs
(/.f64 #s(literal 1 binary64) (cos.f64 (.f64 (.f64 (pow.f64 y #s(literal -1/8 binary64)) (.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/8 binary64)) (pow.f64 (.f64 y #s(literal 2 binary64)) #s(literal -3/8 binary64)))) (.f64 x (pow.f64 (.f64 y #s(literal 2 binary64)) #s(literal -1/2 binary64))))))
(/.f64 #s(literal 1 binary64) (cos.f64 (.f64 (pow.f64 (.f64 y #s(literal 2 binary64)) #s(literal -3/8 binary64)) (.f64 (.f64 (.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/8 binary64)) x) (pow.f64 (.f64 y #s(literal 2 binary64)) #s(literal -1/2 binary64))) (pow.f64 y #s(literal -1/8 binary64))))))
#s(literal 1 binary64)
(cos.f64 (.f64 (.f64 (pow.f64 y #s(literal -1/8 binary64)) (.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/8 binary64)) (pow.f64 (.f64 y #s(literal 2 binary64)) #s(literal -3/8 binary64)))) (.f64 x (pow.f64 (.f64 y #s(literal 2 binary64)) #s(literal -1/2 binary64)))))
(cos.f64 (.f64 (pow.f64 (.f64 y #s(literal 2 binary64)) #s(literal -3/8 binary64)) (.f64 (.f64 (.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/8 binary64)) x) (pow.f64 (.f64 y #s(literal 2 binary64)) #s(literal -1/2 binary64))) (pow.f64 y #s(literal -1/8 binary64)))))
(.f64 (.f64 (pow.f64 y #s(literal -1/8 binary64)) (.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/8 binary64)) (pow.f64 (.f64 y #s(literal 2 binary64)) #s(literal -3/8 binary64)))) (.f64 x (pow.f64 (.f64 y #s(literal 2 binary64)) #s(literal -1/2 binary64))))
(.f64 (pow.f64 (.f64 y #s(literal 2 binary64)) #s(literal -3/8 binary64)) (.f64 (.f64 (.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/8 binary64)) x) (pow.f64 (.f64 y #s(literal 2 binary64)) #s(literal -1/2 binary64))) (pow.f64 y #s(literal -1/8 binary64))))
(.f64 (pow.f64 y #s(literal -1/8 binary64)) (.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/8 binary64)) (pow.f64 (*.f64 y #s(literal 2 binary64)) #s(literal -3/8 binary64))))
(pow.f64 y #s(literal -1/8 binary64))
y
#s(literal -1/8 binary64)
(.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/8 binary64)) (pow.f64 (.f64 y #s(literal 2 binary64)) #s(literal -3/8 binary64)))
(pow.f64 #s(literal 2 binary64) #s(literal -1/8 binary64))
#s(literal 2 binary64)
(pow.f64 (*.f64 y #s(literal 2 binary64)) #s(literal -3/8 binary64))
(*.f64 y #s(literal 2 binary64))
#s(literal -3/8 binary64)
(.f64 x (pow.f64 (.f64 y #s(literal 2 binary64)) #s(literal -1/2 binary64)))
x
(pow.f64 (*.f64 y #s(literal 2 binary64)) #s(literal -1/2 binary64))
#s(literal -1/2 binary64)
(/.f64 #s(literal 1 binary64) #s(approx (cos (/ x (* y 2))) #s(approx (+ (* (/ (* x x) (* y y)) -1/8) 1) (/.f64 (.f64 (.f64 x x) #s(literal -1/8 binary64)) (*.f64 y y)))))
(/.f64 #s(literal 1 binary64) #s(approx (cos (/ x (* y 2))) #s(approx (+ (* (/ (* x x) (* y y)) -1/8) 1) (.f64 #s(literal -1/8 binary64) (.f64 x (/.f64 x (*.f64 y y)))))))
#s(literal 1 binary64)
#s(approx (cos (/ x (* y 2))) #s(approx (+ (* (/ (* x x) (* y y)) -1/8) 1) (/.f64 (.f64 (.f64 x x) #s(literal -1/8 binary64)) (*.f64 y y))))
#s(approx (cos (/ x (* y 2))) #s(approx (+ (* (/ (* x x) (* y y)) -1/8) 1) (.f64 #s(literal -1/8 binary64) (.f64 x (/.f64 x (*.f64 y y))))))
#s(approx (+ (* (/ (* x x) (* y y)) -1/8) 1) (/.f64 (.f64 (.f64 x x) #s(literal -1/8 binary64)) (*.f64 y y)))
#s(approx (+ (* (/ (* x x) (* y y)) -1/8) 1) (.f64 #s(literal -1/8 binary64) (.f64 x (/.f64 x (*.f64 y y)))))
(/.f64 (.f64 (.f64 x x) #s(literal -1/8 binary64)) (*.f64 y y))
(.f64 #s(literal -1/8 binary64) (.f64 x (/.f64 x (*.f64 y y))))
(.f64 (.f64 x x) #s(literal -1/8 binary64))
(.f64 #s(literal -1/8 binary64) (.f64 x x))
(*.f64 x x)
x
#s(literal -1/8 binary64)
(*.f64 y y)
y
(pow.f64 (.f64 (cos.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) #s(approx (cos (/ x (* y 2))) #s(literal 1 binary64))) #s(literal -1/2 binary64))
(.f64 (cos.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) #s(approx (cos (/ x (* y 2))) #s(literal 1 binary64)))
(cos.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))
(/.f64 x (*.f64 y #s(literal 2 binary64)))
x
(*.f64 y #s(literal 2 binary64))
y
#s(literal 2 binary64)
#s(approx (cos (/ x (* y 2))) #s(literal 1 binary64))
#s(literal 1 binary64)
#s(literal -1/2 binary64)
(/.f64 (tan.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 (.f64 (neg.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))))) (/.f64 #s(literal -1/2 binary64) y)) (.f64 (.f64 x (.f64 x (*.f64 x x))) x))))
(/.f64 (tan.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) (sin.f64 (.f64 x (/.f64 #s(literal 1/2 binary64) y))))
(tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))
(/.f64 x (*.f64 y #s(literal 2 binary64)))
x
(*.f64 y #s(literal 2 binary64))
y
#s(literal 2 binary64)
(sin.f64 (/.f64 (.f64 (neg.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))))) (/.f64 #s(literal -1/2 binary64) y)) (.f64 (.f64 x (.f64 x (.f64 x x))) x)))
(sin.f64 (*.f64 x (/.f64 #s(literal 1/2 binary64) y)))
(/.f64 (.f64 (neg.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))))) (/.f64 #s(literal -1/2 binary64) y)) (.f64 (.f64 x (.f64 x (.f64 x x))) x))
(*.f64 x (/.f64 #s(literal 1/2 binary64) y))
(.f64 (neg.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))))) (/.f64 #s(literal -1/2 binary64) y))
(/.f64 (.f64 (.f64 x (.f64 x (.f64 x (.f64 x (.f64 x x))))) #s(literal 1/2 binary64)) y)
(neg.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (*.f64 x x)))))
(neg.f64 (.f64 x (.f64 x (.f64 x (.f64 x (*.f64 x x))))))
(.f64 (.f64 x x) (.f64 x (.f64 x (*.f64 x x))))
(.f64 x (.f64 x (.f64 x (.f64 x (*.f64 x x)))))
(*.f64 x x)
(.f64 x (.f64 x (*.f64 x x)))
(.f64 x (.f64 x x))
(/.f64 #s(literal -1/2 binary64) y)
#s(literal -1/2 binary64)
(.f64 (.f64 x (.f64 x (.f64 x x))) x)
(.f64 x (.f64 x (.f64 x (.f64 x x))))
(/.f64 (tan.f64 (.f64 (pow.f64 (.f64 (.f64 y #s(literal 2 binary64)) y) #s(literal -1/2 binary64)) (.f64 x (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64))))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
(/.f64 (tan.f64 (.f64 (pow.f64 (.f64 y (.f64 y #s(literal 2 binary64))) #s(literal -1/2 binary64)) (.f64 x (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64))))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
(tan.f64 (.f64 (pow.f64 (.f64 (.f64 y #s(literal 2 binary64)) y) #s(literal -1/2 binary64)) (.f64 x (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)))))
(tan.f64 (.f64 (pow.f64 (.f64 y (.f64 y #s(literal 2 binary64))) #s(literal -1/2 binary64)) (.f64 x (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)))))
(.f64 (pow.f64 (.f64 (.f64 y #s(literal 2 binary64)) y) #s(literal -1/2 binary64)) (.f64 x (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64))))
(.f64 (pow.f64 (.f64 y (.f64 y #s(literal 2 binary64))) #s(literal -1/2 binary64)) (.f64 x (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64))))
(pow.f64 (.f64 (.f64 y #s(literal 2 binary64)) y) #s(literal -1/2 binary64))
(pow.f64 (.f64 y (.f64 y #s(literal 2 binary64))) #s(literal -1/2 binary64))
(.f64 (.f64 y #s(literal 2 binary64)) y)
(.f64 y (.f64 y #s(literal 2 binary64)))
(*.f64 y #s(literal 2 binary64))
y
#s(literal 2 binary64)
#s(literal -1/2 binary64)
(*.f64 x (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)))
x
(pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64))
(sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))
(/.f64 x (*.f64 y #s(literal 2 binary64)))

localize406.0ms (2.7%)

Memory

18.8MiB live, 699.2MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	8.37899978572806	(/.f64 (tan.f64 (.f64 (pow.f64 (.f64 (.f64 y #s(literal 2 binary64)) y) #s(literal -1/2 binary64)) (.f64 x (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64))))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
accuracy	29.31035079051208	(sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))
accuracy	29.367430868950073	(tan.f64 (.f64 (pow.f64 (.f64 (.f64 y #s(literal 2 binary64)) y) #s(literal -1/2 binary64)) (.f64 x (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)))))
accuracy	30.947054897552707	(pow.f64 (.f64 (.f64 y #s(literal 2 binary64)) y) #s(literal -1/2 binary64))
accuracy	8.37899978572806	(/.f64 (tan.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 (.f64 (neg.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))))) (/.f64 #s(literal -1/2 binary64) y)) (.f64 (.f64 x (.f64 x (*.f64 x x))) x))))
accuracy	29.31035079051208	(sin.f64 (/.f64 (.f64 (neg.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))))) (/.f64 #s(literal -1/2 binary64) y)) (.f64 (.f64 x (.f64 x (.f64 x x))) x)))
accuracy	29.367430868950073	(tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))
accuracy	52.934974622517565	(/.f64 (.f64 (neg.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))))) (/.f64 #s(literal -1/2 binary64) y)) (.f64 (.f64 x (.f64 x (.f64 x x))) x))
accuracy	0.0703125	(pow.f64 (.f64 (cos.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) #s(approx (cos (/ x (* y 2))) #s(literal 1 binary64))) #s(literal -1/2 binary64))
accuracy	0.24447250976844204	(.f64 (cos.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) #s(approx (cos (/ x (* y 2))) #s(literal 1 binary64)))
accuracy	29.458736191913832	(cos.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))
accuracy	29.601872840982587	#s(approx (cos (/ x (* y 2))) #s(literal 1 binary64))
accuracy	0.1171875	(/.f64 #s(literal 1 binary64) #s(approx (cos (/ x (* y 2))) #s(approx (+ (* (/ (* x x) (* y y)) -1/8) 1) (/.f64 (.f64 (.f64 x x) #s(literal -1/8 binary64)) (*.f64 y y)))))
accuracy	16.46541042335018	(/.f64 (.f64 (.f64 x x) #s(literal -1/8 binary64)) (*.f64 y y))
accuracy	30.540854245602752	#s(approx (+ (* (/ (* x x) (* y y)) -1/8) 1) (/.f64 (.f64 (.f64 x x) #s(literal -1/8 binary64)) (*.f64 y y)))
accuracy	32.437329978275564	#s(approx (cos (/ x (* y 2))) #s(approx (+ (* (/ (* x x) (* y y)) -1/8) 1) (/.f64 (.f64 (.f64 x x) #s(literal -1/8 binary64)) (*.f64 y y))))
accuracy	0.2265625	(.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/8 binary64)) (pow.f64 (.f64 y #s(literal 2 binary64)) #s(literal -3/8 binary64)))
accuracy	0.258476269536884	(.f64 (.f64 (pow.f64 y #s(literal -1/8 binary64)) (.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/8 binary64)) (pow.f64 (.f64 y #s(literal 2 binary64)) #s(literal -3/8 binary64)))) (.f64 x (pow.f64 (.f64 y #s(literal 2 binary64)) #s(literal -1/2 binary64))))
accuracy	0.3828125	(.f64 (pow.f64 y #s(literal -1/8 binary64)) (.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/8 binary64)) (pow.f64 (*.f64 y #s(literal 2 binary64)) #s(literal -3/8 binary64))))
accuracy	29.458736191913832	(cos.f64 (.f64 (.f64 (pow.f64 y #s(literal -1/8 binary64)) (.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/8 binary64)) (pow.f64 (.f64 y #s(literal 2 binary64)) #s(literal -3/8 binary64)))) (.f64 x (pow.f64 (.f64 y #s(literal 2 binary64)) #s(literal -1/2 binary64)))))

Samples

254.0ms	127×	1	valid
66.0ms	129×	0	valid

Compiler

Compiled 483 to 51 computations (89.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 279.0ms

ival-pow: 139.0ms (49.7% of total)

ival-mult: 46.0ms (16.5% of total)

ival-sin: 24.0ms (8.6% of total)

ival-cos: 20.0ms (7.2% of total)

ival-div: 19.0ms (6.8% of total)

ival-tan: 17.0ms (6.1% of total)

adjust: 11.0ms (3.9% of total)

ival-neg: 2.0ms (0.7% of total)

ival-add: 2.0ms (0.7% of total)

exact: 1.0ms (0.4% of total)

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

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

series205.0ms (1.4%)

Memory

-35.7MiB live, 346.9MiB allocated

Counts

24 → 540

Calls

Call 1

Inputs
#s(alt (/.f64 #s(literal 1 binary64) (cos.f64 (.f64 (.f64 (pow.f64 y #s(literal -1/8 binary64)) (.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/8 binary64)) (pow.f64 (.f64 y #s(literal 2 binary64)) #s(literal -3/8 binary64)))) (.f64 x (pow.f64 (.f64 y #s(literal 2 binary64)) #s(literal -1/2 binary64)))))) (patch (/.f64 #s(literal 1 binary64) (cos.f64 (.f64 (.f64 (pow.f64 y #s(literal -1/8 binary64)) (.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/8 binary64)) (pow.f64 (.f64 y #s(literal 2 binary64)) #s(literal -3/8 binary64)))) (.f64 x (pow.f64 (.f64 y #s(literal 2 binary64)) #s(literal -1/2 binary64)))))) #<representation binary64>) () ())
#s(alt (cos.f64 (.f64 (.f64 (pow.f64 y #s(literal -1/8 binary64)) (.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/8 binary64)) (pow.f64 (.f64 y #s(literal 2 binary64)) #s(literal -3/8 binary64)))) (.f64 x (pow.f64 (.f64 y #s(literal 2 binary64)) #s(literal -1/2 binary64))))) (patch (cos.f64 (.f64 (.f64 (pow.f64 y #s(literal -1/8 binary64)) (.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/8 binary64)) (pow.f64 (.f64 y #s(literal 2 binary64)) #s(literal -3/8 binary64)))) (.f64 x (pow.f64 (.f64 y #s(literal 2 binary64)) #s(literal -1/2 binary64))))) #<representation binary64>) () ())
#s(alt (.f64 (.f64 (pow.f64 y #s(literal -1/8 binary64)) (.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/8 binary64)) (pow.f64 (.f64 y #s(literal 2 binary64)) #s(literal -3/8 binary64)))) (.f64 x (pow.f64 (.f64 y #s(literal 2 binary64)) #s(literal -1/2 binary64)))) (patch (.f64 (.f64 (pow.f64 y #s(literal -1/8 binary64)) (.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/8 binary64)) (pow.f64 (.f64 y #s(literal 2 binary64)) #s(literal -3/8 binary64)))) (.f64 x (pow.f64 (.f64 y #s(literal 2 binary64)) #s(literal -1/2 binary64)))) #<representation binary64>) () ())
#s(alt (.f64 (pow.f64 y #s(literal -1/8 binary64)) (.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/8 binary64)) (pow.f64 (.f64 y #s(literal 2 binary64)) #s(literal -3/8 binary64)))) (patch (.f64 (pow.f64 y #s(literal -1/8 binary64)) (.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/8 binary64)) (pow.f64 (.f64 y #s(literal 2 binary64)) #s(literal -3/8 binary64)))) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1 binary64) #s(approx (cos (/ x (* y 2))) #s(approx (+ (* (/ (* x x) (* y y)) -1/8) 1) (/.f64 (.f64 (.f64 x x) #s(literal -1/8 binary64)) (.f64 y y))))) (patch (/.f64 #s(literal 1 binary64) #s(approx (cos (/ x ( y 2))) #s(approx (+ (* (/ (* x x) (* y y)) -1/8) 1) (/.f64 (.f64 (.f64 x x) #s(literal -1/8 binary64)) (*.f64 y y))))) #<representation binary64>) () ())
#s(alt #s(approx (cos (/ x (* y 2))) #s(approx (+ (* (/ (* x x) (* y y)) -1/8) 1) (/.f64 (.f64 (.f64 x x) #s(literal -1/8 binary64)) (.f64 y y)))) (patch #s(approx (cos (/ x ( y 2))) #s(approx (+ (* (/ (* x x) (* y y)) -1/8) 1) (/.f64 (.f64 (.f64 x x) #s(literal -1/8 binary64)) (*.f64 y y)))) #<representation binary64>) () ())
#s(alt #s(approx (+ (* (/ (* x x) (* y y)) -1/8) 1) (/.f64 (.f64 (.f64 x x) #s(literal -1/8 binary64)) (.f64 y y))) (patch #s(approx (+ ( (/ (* x x) (* y y)) -1/8) 1) (/.f64 (.f64 (.f64 x x) #s(literal -1/8 binary64)) (*.f64 y y))) #<representation binary64>) () ())
#s(alt (/.f64 (.f64 (.f64 x x) #s(literal -1/8 binary64)) (.f64 y y)) (patch (/.f64 (.f64 (.f64 x x) #s(literal -1/8 binary64)) (.f64 y y)) #<representation binary64>) () ())
#s(alt (pow.f64 (.f64 (cos.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) #s(approx (cos (/ x (* y 2))) #s(literal 1 binary64))) #s(literal -1/2 binary64)) (patch (pow.f64 (.f64 (cos.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) #s(approx (cos (/ x (* y 2))) #s(literal 1 binary64))) #s(literal -1/2 binary64)) #<representation binary64>) () ())
#s(alt (.f64 (cos.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) #s(approx (cos (/ x (* y 2))) #s(literal 1 binary64))) (patch (.f64 (cos.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) #s(approx (cos (/ x (* y 2))) #s(literal 1 binary64))) #<representation binary64>) () ())
#s(alt (cos.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) (patch (cos.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) #<representation binary64>) () ())
#s(alt (/.f64 x (.f64 y #s(literal 2 binary64))) (patch (/.f64 x (.f64 y #s(literal 2 binary64))) #<representation binary64>) () ())
#s(alt (/.f64 (.f64 (neg.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))))) (/.f64 #s(literal -1/2 binary64) y)) (.f64 (.f64 x (.f64 x (.f64 x x))) x)) (patch (/.f64 (.f64 (neg.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))))) (/.f64 #s(literal -1/2 binary64) y)) (.f64 (.f64 x (.f64 x (.f64 x x))) x)) #<representation binary64>) () ())
#s(alt (.f64 (neg.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))))) (/.f64 #s(literal -1/2 binary64) y)) (patch (.f64 (neg.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))))) (/.f64 #s(literal -1/2 binary64) y)) #<representation binary64>) () ())
#s(alt (/.f64 (tan.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 (.f64 (neg.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))))) (/.f64 #s(literal -1/2 binary64) y)) (.f64 (.f64 x (.f64 x (.f64 x x))) x)))) (patch (/.f64 (tan.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 (.f64 (neg.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))))) (/.f64 #s(literal -1/2 binary64) y)) (.f64 (.f64 x (.f64 x (.f64 x x))) x)))) #<representation binary64>) () ())
#s(alt (tan.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) (patch (tan.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) #<representation binary64>) () ())
#s(alt (/.f64 (tan.f64 (.f64 (pow.f64 (.f64 (.f64 y #s(literal 2 binary64)) y) #s(literal -1/2 binary64)) (.f64 x (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64))))) (sin.f64 (/.f64 x (.f64 y #s(literal 2 binary64))))) (patch (/.f64 (tan.f64 (.f64 (pow.f64 (.f64 (.f64 y #s(literal 2 binary64)) y) #s(literal -1/2 binary64)) (.f64 x (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64))))) (sin.f64 (/.f64 x (.f64 y #s(literal 2 binary64))))) #<representation binary64>) () ())
#s(alt (tan.f64 (.f64 (pow.f64 (.f64 (.f64 y #s(literal 2 binary64)) y) #s(literal -1/2 binary64)) (.f64 x (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64))))) (patch (tan.f64 (.f64 (pow.f64 (.f64 (.f64 y #s(literal 2 binary64)) y) #s(literal -1/2 binary64)) (.f64 x (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64))))) #<representation binary64>) () ())
#s(alt (.f64 (pow.f64 (.f64 (.f64 y #s(literal 2 binary64)) y) #s(literal -1/2 binary64)) (.f64 x (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)))) (patch (.f64 (pow.f64 (.f64 (.f64 y #s(literal 2 binary64)) y) #s(literal -1/2 binary64)) (.f64 x (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)))) #<representation binary64>) () ())
#s(alt (pow.f64 (.f64 (.f64 y #s(literal 2 binary64)) y) #s(literal -1/2 binary64)) (patch (pow.f64 (.f64 (.f64 y #s(literal 2 binary64)) y) #s(literal -1/2 binary64)) #<representation binary64>) () ())
#s(alt (.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/8 binary64)) (pow.f64 (.f64 y #s(literal 2 binary64)) #s(literal -3/8 binary64))) (patch (.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/8 binary64)) (pow.f64 (.f64 y #s(literal 2 binary64)) #s(literal -3/8 binary64))) #<representation binary64>) () ())
#s(alt #s(approx (cos (/ x (* y 2))) #s(literal 1 binary64)) (patch #s(approx (cos (/ x (* y 2))) #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt (sin.f64 (/.f64 (.f64 (neg.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))))) (/.f64 #s(literal -1/2 binary64) y)) (.f64 (.f64 x (.f64 x (.f64 x x))) x))) (patch (sin.f64 (/.f64 (.f64 (neg.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))))) (/.f64 #s(literal -1/2 binary64) y)) (.f64 (.f64 x (.f64 x (.f64 x x))) x))) #<representation binary64>) () ())
#s(alt (sin.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) (patch (sin.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) #<representation binary64>) () ())

Outputs
#s(alt (/ 1 (cos (* (pow 1/16 1/8) (/ (* x (sqrt 1/2)) y)))) (taylor 0 y) (#s(alt (/.f64 #s(literal 1 binary64) (cos.f64 (.f64 (.f64 (pow.f64 y #s(literal -1/8 binary64)) (.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/8 binary64)) (pow.f64 (.f64 y #s(literal 2 binary64)) #s(literal -3/8 binary64)))) (.f64 x (pow.f64 (.f64 y #s(literal 2 binary64)) #s(literal -1/2 binary64)))))) (patch (/.f64 #s(literal 1 binary64) (cos.f64 (.f64 (.f64 (pow.f64 y #s(literal -1/8 binary64)) (.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/8 binary64)) (pow.f64 (.f64 y #s(literal 2 binary64)) #s(literal -3/8 binary64)))) (.f64 x (pow.f64 (.f64 y #s(literal 2 binary64)) #s(literal -1/2 binary64)))))) #<representation binary64>) () ())) ())
#s(alt (/ 1 (cos (* (pow 1/16 1/8) (/ (* x (sqrt 1/2)) y)))) (taylor 0 y) (#s(alt (/.f64 #s(literal 1 binary64) (cos.f64 (.f64 (.f64 (pow.f64 y #s(literal -1/8 binary64)) (.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/8 binary64)) (pow.f64 (.f64 y #s(literal 2 binary64)) #s(literal -3/8 binary64)))) (.f64 x (pow.f64 (.f64 y #s(literal 2 binary64)) #s(literal -1/2 binary64)))))) (patch (/.f64 #s(literal 1 binary64) (cos.f64 (.f64 (.f64 (pow.f64 y #s(literal -1/8 binary64)) (.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/8 binary64)) (pow.f64 (.f64 y #s(literal 2 binary64)) #s(literal -3/8 binary64)))) (.f64 x (pow.f64 (.f64 y #s(literal 2 binary64)) #s(literal -1/2 binary64)))))) #<representation binary64>) () ())) ())
#s(alt (/ 1 (cos (* (pow 1/16 1/8) (/ (* x (sqrt 1/2)) y)))) (taylor 0 y) (#s(alt (/.f64 #s(literal 1 binary64) (cos.f64 (.f64 (.f64 (pow.f64 y #s(literal -1/8 binary64)) (.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/8 binary64)) (pow.f64 (.f64 y #s(literal 2 binary64)) #s(literal -3/8 binary64)))) (.f64 x (pow.f64 (.f64 y #s(literal 2 binary64)) #s(literal -1/2 binary64)))))) (patch (/.f64 #s(literal 1 binary64) (cos.f64 (.f64 (.f64 (pow.f64 y #s(literal -1/8 binary64)) (.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/8 binary64)) (pow.f64 (.f64 y #s(literal 2 binary64)) #s(literal -3/8 binary64)))) (.f64 x (pow.f64 (.f64 y #s(literal 2 binary64)) #s(literal -1/2 binary64)))))) #<representation binary64>) () ())) ())
#s(alt (/ 1 (cos (* (pow 1/16 1/8) (/ (* x (sqrt 1/2)) y)))) (taylor 0 y) (#s(alt (/.f64 #s(literal 1 binary64) (cos.f64 (.f64 (.f64 (pow.f64 y #s(literal -1/8 binary64)) (.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/8 binary64)) (pow.f64 (.f64 y #s(literal 2 binary64)) #s(literal -3/8 binary64)))) (.f64 x (pow.f64 (.f64 y #s(literal 2 binary64)) #s(literal -1/2 binary64)))))) (patch (/.f64 #s(literal 1 binary64) (cos.f64 (.f64 (.f64 (pow.f64 y #s(literal -1/8 binary64)) (.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/8 binary64)) (pow.f64 (.f64 y #s(literal 2 binary64)) #s(literal -3/8 binary64)))) (.f64 x (pow.f64 (.f64 y #s(literal 2 binary64)) #s(literal -1/2 binary64)))))) #<representation binary64>) () ())) ())
#s(alt 1 (taylor inf y) (#s(alt (/.f64 #s(literal 1 binary64) (cos.f64 (.f64 (.f64 (pow.f64 y #s(literal -1/8 binary64)) (.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/8 binary64)) (pow.f64 (.f64 y #s(literal 2 binary64)) #s(literal -3/8 binary64)))) (.f64 x (pow.f64 (.f64 y #s(literal 2 binary64)) #s(literal -1/2 binary64)))))) (patch (/.f64 #s(literal 1 binary64) (cos.f64 (.f64 (.f64 (pow.f64 y #s(literal -1/8 binary64)) (.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/8 binary64)) (pow.f64 (.f64 y #s(literal 2 binary64)) #s(literal -3/8 binary64)))) (.f64 x (pow.f64 (.f64 y #s(literal 2 binary64)) #s(literal -1/2 binary64)))))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* 1/2 (* (pow 1/16 1/4) (/ (* (pow x 2) (pow (sqrt 1/2) 2)) (pow y 2))))) (taylor inf y) (#s(alt (/.f64 #s(literal 1 binary64) (cos.f64 (.f64 (.f64 (pow.f64 y #s(literal -1/8 binary64)) (.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/8 binary64)) (pow.f64 (.f64 y #s(literal 2 binary64)) #s(literal -3/8 binary64)))) (.f64 x (pow.f64 (.f64 y #s(literal 2 binary64)) #s(literal -1/2 binary64)))))) (patch (/.f64 #s(literal 1 binary64) (cos.f64 (.f64 (.f64 (pow.f64 y #s(literal -1/8 binary64)) (.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/8 binary64)) (pow.f64 (.f64 y #s(literal 2 binary64)) #s(literal -3/8 binary64)))) (.f64 x (pow.f64 (.f64 y #s(literal 2 binary64)) #s(literal -1/2 binary64)))))) #<representation binary64>) () ())) ())
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#s(alt (sin (* 1/2 (/ x y))) (taylor 0 y) (#s(alt (sin.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) (patch (sin.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (sin (* 1/2 (/ x y))) (taylor 0 y) (#s(alt (sin.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) (patch (sin.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ x y)) (taylor inf y) (#s(alt (sin.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) (patch (sin.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* -1/48 (/ (pow x 3) (pow y 2))) (* 1/2 x)) y) (taylor inf y) (#s(alt (sin.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) (patch (sin.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* -1/48 (/ (pow x 3) (pow y 2))) (+ (* 1/3840 (/ (pow x 5) (pow y 4))) (* 1/2 x))) y) (taylor inf y) (#s(alt (sin.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) (patch (sin.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* -1/48 (/ (pow x 3) (pow y 2))) (+ (* -1/645120 (/ (pow x 7) (pow y 6))) (+ (* 1/3840 (/ (pow x 5) (pow y 4))) (* 1/2 x)))) y) (taylor inf y) (#s(alt (sin.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) (patch (sin.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ x y)) (taylor -inf y) (#s(alt (sin.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) (patch (sin.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (+ (* -1/2 x) (* 1/48 (/ (pow x 3) (pow y 2)))) y)) (taylor -inf y) (#s(alt (sin.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) (patch (sin.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (+ (* -1/2 x) (+ (* -1/3840 (/ (pow x 5) (pow y 4))) (* 1/48 (/ (pow x 3) (pow y 2))))) y)) (taylor -inf y) (#s(alt (sin.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) (patch (sin.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (+ (* -1/2 x) (+ (* -1/3840 (/ (pow x 5) (pow y 4))) (+ (* 1/645120 (/ (pow x 7) (pow y 6))) (* 1/48 (/ (pow x 3) (pow y 2)))))) y)) (taylor -inf y) (#s(alt (sin.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) (patch (sin.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) #<representation binary64>) () ())) ())

Calls

135 calls:

Time	Variable		Point	Expression
38.0ms	y	@	-inf	(* (pow 2 -1/8) (pow (* y 2) -3/8))
30.0ms	y	@	inf	(* (pow 2 -1/8) (pow (* y 2) -3/8))
30.0ms	y	@	-inf	(/ (tan (* (pow (* (* y 2) y) -1/2) (* x (pow 2 -1/2)))) (sin (/ x (* y 2))))
15.0ms	y	@	0	(* (pow y -1/8) (* (pow 2 -1/8) (pow (* y 2) -3/8)))
15.0ms	y	@	inf	(* (* (pow y -1/8) (* (pow 2 -1/8) (pow (* y 2) -3/8))) (* x (pow (* y 2) -1/2)))

simplify593.0ms (4%)

Memory

-6.1MiB live, 586.4MiB allocated

Algorithm

1×	egg-herbie

Rules

10 890×	`lower-fma.f64`
10 890×	`lower-fma.f32`
6 898×	`lower-*.f64`
6 898×	`lower-*.f32`
5 036×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	835	9771
1	2572	9226
0	8422	8844

Stop Event

1×	iter limit
1×	node limit

Counts

540 → 540

Calls

Call 1

Inputs
(/ 1 (cos (* (pow 1/16 1/8) (/ (* x (sqrt 1/2)) y))))
(/ 1 (cos (* (pow 1/16 1/8) (/ (* x (sqrt 1/2)) y))))
(/ 1 (cos (* (pow 1/16 1/8) (/ (* x (sqrt 1/2)) y))))
(/ 1 (cos (* (pow 1/16 1/8) (/ (* x (sqrt 1/2)) y))))
1
(+ 1 (* 1/2 (* (pow 1/16 1/4) (/ (* (pow x 2) (pow (sqrt 1/2) 2)) (pow y 2)))))
(- (+ 1 (* -1 (/ (+ (* -1/16 (* (pow x 4) (pow (sqrt 1/2) 4))) (* 1/96 (* (pow x 4) (pow (sqrt 1/2) 4)))) (pow y 4)))) (* -1/2 (* (pow 1/16 1/4) (/ (* (pow x 2) (pow (sqrt 1/2) 2)) (pow y 2)))))
(- (+ 1 (* -1 (/ (+ (* -1/720 (* (pow 1/4096 1/4) (* (pow x 6) (pow (sqrt 1/2) 6)))) (+ (* 1/192 (* (pow 1/16 1/4) (* (pow x 6) (pow (sqrt 1/2) 6)))) (* 1/2 (* (pow 1/16 1/4) (* (pow x 2) (* (pow (sqrt 1/2) 2) (+ (* -1/16 (* (pow x 4) (pow (sqrt 1/2) 4))) (* 1/96 (* (pow x 4) (pow (sqrt 1/2) 4)))))))))) (pow y 6)))) (+ (* -1/2 (* (pow 1/16 1/4) (/ (* (pow x 2) (pow (sqrt 1/2) 2)) (pow y 2)))) (+ (* -1/16 (/ (* (pow x 4) (pow (sqrt 1/2) 4)) (pow y 4))) (* 1/96 (/ (* (pow x 4) (pow (sqrt 1/2) 4)) (pow y 4))))))
1
(+ 1 (* 1/2 (* (pow 1/16 1/4) (/ (* (pow x 2) (pow (sqrt -1/2) 2)) (pow y 2)))))
(- (+ 1 (* -1 (/ (+ (* -1/16 (* (pow x 4) (pow (sqrt -1/2) 4))) (* 1/96 (* (pow x 4) (pow (sqrt -1/2) 4)))) (pow y 4)))) (* -1/2 (* (pow 1/16 1/4) (/ (* (pow x 2) (pow (sqrt -1/2) 2)) (pow y 2)))))
(- (+ 1 (* -1 (/ (+ (* -1/720 (* (pow 1/4096 1/4) (* (pow x 6) (pow (sqrt -1/2) 6)))) (+ (* 1/192 (* (pow 1/16 1/4) (* (pow x 6) (pow (sqrt -1/2) 6)))) (* 1/2 (* (pow 1/16 1/4) (* (pow x 2) (* (pow (sqrt -1/2) 2) (+ (* -1/16 (* (pow x 4) (pow (sqrt -1/2) 4))) (* 1/96 (* (pow x 4) (pow (sqrt -1/2) 4)))))))))) (pow y 6)))) (+ (* -1/2 (* (pow 1/16 1/4) (/ (* (pow x 2) (pow (sqrt -1/2) 2)) (pow y 2)))) (+ (* -1/16 (/ (* (pow x 4) (pow (sqrt -1/2) 4)) (pow y 4))) (* 1/96 (/ (* (pow x 4) (pow (sqrt -1/2) 4)) (pow y 4))))))
1
(+ 1 (* 1/2 (* (pow 1/16 1/4) (/ (* (pow x 2) (pow (sqrt 1/2) 2)) (pow y 2)))))
(+ 1 (* (pow x 2) (- (* -1 (* (pow x 2) (+ (* -1/16 (/ (pow (sqrt 1/2) 4) (pow y 4))) (* 1/96 (/ (pow (sqrt 1/2) 4) (pow y 4)))))) (* -1/2 (* (pow 1/16 1/4) (/ (pow (sqrt 1/2) 2) (pow y 2)))))))
(+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -1 (* (pow x 2) (+ (* -1/720 (* (pow 1/4096 1/4) (/ (pow (sqrt 1/2) 6) (pow y 6)))) (+ (* 1/192 (* (pow 1/16 1/4) (/ (pow (sqrt 1/2) 6) (pow y 6)))) (* 1/2 (* (pow 1/16 1/4) (/ (* (pow (sqrt 1/2) 2) (+ (* -1/16 (/ (pow (sqrt 1/2) 4) (pow y 4))) (* 1/96 (/ (pow (sqrt 1/2) 4) (pow y 4))))) (pow y 2)))))))) (+ (* -1/16 (/ (pow (sqrt 1/2) 4) (pow y 4))) (* 1/96 (/ (pow (sqrt 1/2) 4) (pow y 4)))))) (* -1/2 (* (pow 1/16 1/4) (/ (pow (sqrt 1/2) 2) (pow y 2)))))))
(/ 1 (cos (* (pow 1/16 1/8) (/ (* x (sqrt 1/2)) y))))
(/ 1 (cos (* (pow 1/16 1/8) (/ (* x (sqrt 1/2)) y))))
(/ 1 (cos (* (pow 1/16 1/8) (/ (* x (sqrt 1/2)) y))))
(/ 1 (cos (* (pow 1/16 1/8) (/ (* x (sqrt 1/2)) y))))
(/ 1 (cos (* (pow 1/16 1/8) (/ (* x (sqrt 1/2)) y))))
(/ 1 (cos (* (pow 1/16 1/8) (/ (* x (sqrt 1/2)) y))))
(/ 1 (cos (* (pow 1/16 1/8) (/ (* x (sqrt 1/2)) y))))
(/ 1 (cos (* (pow 1/16 1/8) (/ (* x (sqrt 1/2)) y))))
(cos (* (pow 1/16 1/8) (/ (* x (sqrt 1/2)) y)))
(cos (* (pow 1/16 1/8) (/ (* x (sqrt 1/2)) y)))
(cos (* (pow 1/16 1/8) (/ (* x (sqrt 1/2)) y)))
(cos (* (pow 1/16 1/8) (/ (* x (sqrt 1/2)) y)))
1
(+ 1 (* -1/2 (* (pow 1/16 1/4) (/ (* (pow x 2) (pow (sqrt 1/2) 2)) (pow y 2)))))
(+ 1 (+ (* -1/2 (* (pow 1/16 1/4) (/ (* (pow x 2) (pow (sqrt 1/2) 2)) (pow y 2)))) (* 1/96 (/ (* (pow x 4) (pow (sqrt 1/2) 4)) (pow y 4)))))
(+ 1 (+ (* -1/2 (* (pow 1/16 1/4) (/ (* (pow x 2) (pow (sqrt 1/2) 2)) (pow y 2)))) (+ (* -1/720 (* (pow 1/4096 1/4) (/ (* (pow x 6) (pow (sqrt 1/2) 6)) (pow y 6)))) (* 1/96 (/ (* (pow x 4) (pow (sqrt 1/2) 4)) (pow y 4))))))
1
(+ 1 (* -1/2 (* (pow 1/16 1/4) (/ (* (pow x 2) (pow (sqrt -1/2) 2)) (pow y 2)))))
(+ 1 (+ (* -1/2 (* (pow 1/16 1/4) (/ (* (pow x 2) (pow (sqrt -1/2) 2)) (pow y 2)))) (* 1/96 (/ (* (pow x 4) (pow (sqrt -1/2) 4)) (pow y 4)))))
(+ 1 (+ (* -1/2 (* (pow 1/16 1/4) (/ (* (pow x 2) (pow (sqrt -1/2) 2)) (pow y 2)))) (+ (* -1/720 (* (pow 1/4096 1/4) (/ (* (pow x 6) (pow (sqrt -1/2) 6)) (pow y 6)))) (* 1/96 (/ (* (pow x 4) (pow (sqrt -1/2) 4)) (pow y 4))))))
1
(+ 1 (* -1/2 (* (pow 1/16 1/4) (/ (* (pow x 2) (pow (sqrt 1/2) 2)) (pow y 2)))))
(+ 1 (* (pow x 2) (+ (* -1/2 (* (pow 1/16 1/4) (/ (pow (sqrt 1/2) 2) (pow y 2)))) (* 1/96 (/ (* (pow x 2) (pow (sqrt 1/2) 4)) (pow y 4))))))
(+ 1 (* (pow x 2) (+ (* -1/2 (* (pow 1/16 1/4) (/ (pow (sqrt 1/2) 2) (pow y 2)))) (* (pow x 2) (+ (* -1/720 (* (pow 1/4096 1/4) (/ (* (pow x 2) (pow (sqrt 1/2) 6)) (pow y 6)))) (* 1/96 (/ (pow (sqrt 1/2) 4) (pow y 4))))))))
(cos (* (pow 1/16 1/8) (/ (* x (sqrt 1/2)) y)))
(cos (* (pow 1/16 1/8) (/ (* x (sqrt 1/2)) y)))
(cos (* (pow 1/16 1/8) (/ (* x (sqrt 1/2)) y)))
(cos (* (pow 1/16 1/8) (/ (* x (sqrt 1/2)) y)))
(cos (* (pow 1/16 1/8) (/ (* x (sqrt 1/2)) y)))
(cos (* (pow 1/16 1/8) (/ (* x (sqrt 1/2)) y)))
(cos (* (pow 1/16 1/8) (/ (* x (sqrt 1/2)) y)))
(cos (* (pow 1/16 1/8) (/ (* x (sqrt 1/2)) y)))
(* (pow 1/16 1/8) (/ (* x (sqrt 1/2)) y))
(* (pow 1/16 1/8) (/ (* x (sqrt 1/2)) y))
(* (pow 1/16 1/8) (/ (* x (sqrt 1/2)) y))
(* (pow 1/16 1/8) (/ (* x (sqrt 1/2)) y))
(* (pow 1/16 1/8) (/ (* x (sqrt 1/2)) y))
(* (pow 1/16 1/8) (/ (* x (sqrt 1/2)) y))
(* (pow 1/16 1/8) (/ (* x (sqrt 1/2)) y))
(* (pow 1/16 1/8) (/ (* x (sqrt 1/2)) y))
(* -1 (* (pow 1/16 1/8) (/ (* x (sqrt -1/2)) y)))
(* -1 (* (pow 1/16 1/8) (/ (* x (sqrt -1/2)) y)))
(* -1 (* (pow 1/16 1/8) (/ (* x (sqrt -1/2)) y)))
(* -1 (* (pow 1/16 1/8) (/ (* x (sqrt -1/2)) y)))
(* (pow 1/16 1/8) (/ (* x (sqrt 1/2)) y))
(* (pow 1/16 1/8) (/ (* x (sqrt 1/2)) y))
(* (pow 1/16 1/8) (/ (* x (sqrt 1/2)) y))
(* (pow 1/16 1/8) (/ (* x (sqrt 1/2)) y))
(* (pow 1/16 1/8) (/ (* x (sqrt 1/2)) y))
(* (pow 1/16 1/8) (/ (* x (sqrt 1/2)) y))
(* (pow 1/16 1/8) (/ (* x (sqrt 1/2)) y))
(* (pow 1/16 1/8) (/ (* x (sqrt 1/2)) y))
(* (pow 1/16 1/8) (/ (* x (sqrt 1/2)) y))
(* (pow 1/16 1/8) (/ (* x (sqrt 1/2)) y))
(* (pow 1/16 1/8) (/ (* x (sqrt 1/2)) y))
(* (pow 1/16 1/8) (/ (* x (sqrt 1/2)) y))
(* (pow 1/16 1/8) (sqrt (/ 1 y)))
(* (pow 1/16 1/8) (sqrt (/ 1 y)))
(* (pow 1/16 1/8) (sqrt (/ 1 y)))
(* (pow 1/16 1/8) (sqrt (/ 1 y)))
(* (pow 1/16 1/8) (sqrt (/ 1 y)))
(* (pow 1/16 1/8) (sqrt (/ 1 y)))
(* (pow 1/16 1/8) (sqrt (/ 1 y)))
(* (pow 1/16 1/8) (sqrt (/ 1 y)))
(* (pow 1/16 1/8) (* (sqrt (/ 1 y)) (sqrt -1)))
(* (pow 1/16 1/8) (* (sqrt (/ 1 y)) (sqrt -1)))
(* (pow 1/16 1/8) (* (sqrt (/ 1 y)) (sqrt -1)))
(* (pow 1/16 1/8) (* (sqrt (/ 1 y)) (sqrt -1)))
1
(+ 1 (* 1/8 (/ (pow x 2) (pow y 2))))
(+ 1 (* (pow x 2) (+ (* 5/384 (/ (pow x 2) (pow y 4))) (* 1/8 (/ 1 (pow y 2))))))
(+ 1 (* (pow x 2) (+ (* (pow x 2) (+ (* 61/46080 (/ (pow x 2) (pow y 6))) (* 5/384 (/ 1 (pow y 4))))) (* 1/8 (/ 1 (pow y 2))))))
(/ 1 (cos (* 1/2 (/ x y))))
(/ 1 (cos (* 1/2 (/ x y))))
(/ 1 (cos (* 1/2 (/ x y))))
(/ 1 (cos (* 1/2 (/ x y))))
(/ 1 (cos (* 1/2 (/ x y))))
(/ 1 (cos (* 1/2 (/ x y))))
(/ 1 (cos (* 1/2 (/ x y))))
(/ 1 (cos (* 1/2 (/ x y))))
(/ 1 (cos (* 1/2 (/ x y))))
(/ 1 (cos (* 1/2 (/ x y))))
(/ 1 (cos (* 1/2 (/ x y))))
(/ 1 (cos (* 1/2 (/ x y))))
1
(+ 1 (* 1/8 (/ (pow x 2) (pow y 2))))
(- (+ 1 (* -1 (/ (+ (* -1/64 (pow x 4)) (* 1/384 (pow x 4))) (pow y 4)))) (* -1/8 (/ (pow x 2) (pow y 2))))
(- (+ 1 (* -1 (/ (+ (* -1/46080 (pow x 6)) (+ (* 1/3072 (pow x 6)) (* 1/8 (* (pow x 2) (+ (* -1/64 (pow x 4)) (* 1/384 (pow x 4))))))) (pow y 6)))) (+ (* -1/8 (/ (pow x 2) (pow y 2))) (+ (* -1/64 (/ (pow x 4) (pow y 4))) (* 1/384 (/ (pow x 4) (pow y 4))))))
1
(+ 1 (* 1/8 (/ (pow x 2) (pow y 2))))
(- (+ 1 (* -1 (/ (+ (* -1/64 (pow x 4)) (* 1/384 (pow x 4))) (pow y 4)))) (* -1/8 (/ (pow x 2) (pow y 2))))
(- (+ 1 (* -1 (/ (+ (* -1/46080 (pow x 6)) (+ (* 1/3072 (pow x 6)) (* 1/8 (* (pow x 2) (+ (* -1/64 (pow x 4)) (* 1/384 (pow x 4))))))) (pow y 6)))) (+ (* -1/8 (/ (pow x 2) (pow y 2))) (+ (* -1/64 (/ (pow x 4) (pow y 4))) (* 1/384 (/ (pow x 4) (pow y 4))))))
1
(+ 1 (* -1/8 (/ (pow x 2) (pow y 2))))
(+ 1 (* (pow x 2) (- (* 1/384 (/ (pow x 2) (pow y 4))) (* 1/8 (/ 1 (pow y 2))))))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ (* -1/46080 (/ (pow x 2) (pow y 6))) (* 1/384 (/ 1 (pow y 4))))) (* 1/8 (/ 1 (pow y 2))))))
(cos (* 1/2 (/ x y)))
(cos (* 1/2 (/ x y)))
(cos (* 1/2 (/ x y)))
(cos (* 1/2 (/ x y)))
(cos (* 1/2 (/ x y)))
(cos (* 1/2 (/ x y)))
(cos (* 1/2 (/ x y)))
(cos (* 1/2 (/ x y)))
(cos (* 1/2 (/ x y)))
(cos (* 1/2 (/ x y)))
(cos (* 1/2 (/ x y)))
(cos (* 1/2 (/ x y)))
1
(+ 1 (* -1/8 (/ (pow x 2) (pow y 2))))
(+ 1 (+ (* -1/8 (/ (pow x 2) (pow y 2))) (* 1/384 (/ (pow x 4) (pow y 4)))))
(+ 1 (+ (* -1/8 (/ (pow x 2) (pow y 2))) (+ (* -1/46080 (/ (pow x 6) (pow y 6))) (* 1/384 (/ (pow x 4) (pow y 4))))))
1
(+ 1 (* -1/8 (/ (pow x 2) (pow y 2))))
(+ 1 (+ (* -1/8 (/ (pow x 2) (pow y 2))) (* 1/384 (/ (pow x 4) (pow y 4)))))
(+ 1 (+ (* -1/8 (/ (pow x 2) (pow y 2))) (+ (* -1/46080 (/ (pow x 6) (pow y 6))) (* 1/384 (/ (pow x 4) (pow y 4))))))
1
(+ 1 (* -1/8 (/ (pow x 2) (pow y 2))))
(+ 1 (* -1/8 (/ (pow x 2) (pow y 2))))
(+ 1 (* -1/8 (/ (pow x 2) (pow y 2))))
(* -1/8 (/ (pow x 2) (pow y 2)))
(* (pow x 2) (- (/ 1 (pow x 2)) (* 1/8 (/ 1 (pow y 2)))))
(* (pow x 2) (- (/ 1 (pow x 2)) (* 1/8 (/ 1 (pow y 2)))))
(* (pow x 2) (- (/ 1 (pow x 2)) (* 1/8 (/ 1 (pow y 2)))))
(* -1/8 (/ (pow x 2) (pow y 2)))
(* (pow x 2) (- (/ 1 (pow x 2)) (* 1/8 (/ 1 (pow y 2)))))
(* (pow x 2) (- (/ 1 (pow x 2)) (* 1/8 (/ 1 (pow y 2)))))
(* (pow x 2) (- (/ 1 (pow x 2)) (* 1/8 (/ 1 (pow y 2)))))
(* -1/8 (/ (pow x 2) (pow y 2)))
(/ (+ (* -1/8 (pow x 2)) (pow y 2)) (pow y 2))
(/ (+ (* -1/8 (pow x 2)) (pow y 2)) (pow y 2))
(/ (+ (* -1/8 (pow x 2)) (pow y 2)) (pow y 2))
1
(+ 1 (* -1/8 (/ (pow x 2) (pow y 2))))
(+ 1 (* -1/8 (/ (pow x 2) (pow y 2))))
(+ 1 (* -1/8 (/ (pow x 2) (pow y 2))))
1
(+ 1 (* -1/8 (/ (pow x 2) (pow y 2))))
(+ 1 (* -1/8 (/ (pow x 2) (pow y 2))))
(+ 1 (* -1/8 (/ (pow x 2) (pow y 2))))
(* -1/8 (/ (pow x 2) (pow y 2)))
(* -1/8 (/ (pow x 2) (pow y 2)))
(* -1/8 (/ (pow x 2) (pow y 2)))
(* -1/8 (/ (pow x 2) (pow y 2)))
(* -1/8 (/ (pow x 2) (pow y 2)))
(* -1/8 (/ (pow x 2) (pow y 2)))
(* -1/8 (/ (pow x 2) (pow y 2)))
(* -1/8 (/ (pow x 2) (pow y 2)))
(* -1/8 (/ (pow x 2) (pow y 2)))
(* -1/8 (/ (pow x 2) (pow y 2)))
(* -1/8 (/ (pow x 2) (pow y 2)))
(* -1/8 (/ (pow x 2) (pow y 2)))
(* -1/8 (/ (pow x 2) (pow y 2)))
(* -1/8 (/ (pow x 2) (pow y 2)))
(* -1/8 (/ (pow x 2) (pow y 2)))
(* -1/8 (/ (pow x 2) (pow y 2)))
(* -1/8 (/ (pow x 2) (pow y 2)))
(* -1/8 (/ (pow x 2) (pow y 2)))
(* -1/8 (/ (pow x 2) (pow y 2)))
(* -1/8 (/ (pow x 2) (pow y 2)))
(* -1/8 (/ (pow x 2) (pow y 2)))
(* -1/8 (/ (pow x 2) (pow y 2)))
(* -1/8 (/ (pow x 2) (pow y 2)))
(* -1/8 (/ (pow x 2) (pow y 2)))
1
(+ 1 (* 1/8 (/ (pow x 2) (pow y 2))))
(+ 1 (* (pow x 2) (+ (* 5/384 (/ (pow x 2) (pow y 4))) (* 1/8 (/ 1 (pow y 2))))))
(+ 1 (* (pow x 2) (+ (* (pow x 2) (+ (* 61/46080 (/ (pow x 2) (pow y 6))) (* 5/384 (/ 1 (pow y 4))))) (* 1/8 (/ 1 (pow y 2))))))
(/ 1 (cos (* 1/2 (/ x y))))
(/ 1 (cos (* 1/2 (/ x y))))
(/ 1 (cos (* 1/2 (/ x y))))
(/ 1 (cos (* 1/2 (/ x y))))
(/ 1 (cos (* 1/2 (/ x y))))
(/ 1 (cos (* 1/2 (/ x y))))
(/ 1 (cos (* 1/2 (/ x y))))
(/ 1 (cos (* 1/2 (/ x y))))
(/ 1 (cos (* 1/2 (/ x y))))
(/ 1 (cos (* 1/2 (/ x y))))
(/ 1 (cos (* 1/2 (/ x y))))
(/ 1 (cos (* 1/2 (/ x y))))
1
(+ 1 (* 1/8 (/ (pow x 2) (pow y 2))))
(+ 1 (+ (* -1 (/ (+ (* -1/64 (pow x 4)) (* 1/384 (pow x 4))) (pow y 4))) (* 1/8 (/ (pow x 2) (pow y 2)))))
(+ 1 (+ (* -1 (/ (+ (* -1/64 (pow x 4)) (* 1/384 (pow x 4))) (pow y 4))) (+ (* -1 (/ (+ (* -1/46080 (pow x 6)) (+ (* 1/3072 (pow x 6)) (* 1/8 (* (pow x 2) (+ (* -1/64 (pow x 4)) (* 1/384 (pow x 4))))))) (pow y 6))) (* 1/8 (/ (pow x 2) (pow y 2))))))
1
(+ 1 (* 1/8 (/ (pow x 2) (pow y 2))))
(+ 1 (+ (* -1 (/ (+ (* -1/64 (pow x 4)) (* 1/384 (pow x 4))) (pow y 4))) (* 1/8 (/ (pow x 2) (pow y 2)))))
(+ 1 (+ (* -1 (/ (+ (* -1/64 (pow x 4)) (* 1/384 (pow x 4))) (pow y 4))) (+ (* -1 (/ (+ (* -1/46080 (pow x 6)) (+ (* 1/3072 (pow x 6)) (* 1/8 (* (pow x 2) (+ (* -1/64 (pow x 4)) (* 1/384 (pow x 4))))))) (pow y 6))) (* 1/8 (/ (pow x 2) (pow y 2))))))
1
(+ 1 (* -1/4 (/ (pow x 2) (pow y 2))))
(+ 1 (* (pow x 2) (- (* 1/48 (/ (pow x 2) (pow y 4))) (* 1/4 (/ 1 (pow y 2))))))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ (* -1/1440 (/ (pow x 2) (pow y 6))) (* 1/48 (/ 1 (pow y 4))))) (* 1/4 (/ 1 (pow y 2))))))
(pow (cos (* 1/2 (/ x y))) 2)
(pow (cos (* 1/2 (/ x y))) 2)
(pow (cos (* 1/2 (/ x y))) 2)
(pow (cos (* 1/2 (/ x y))) 2)
(pow (cos (* 1/2 (/ x y))) 2)
(pow (cos (* 1/2 (/ x y))) 2)
(pow (cos (* 1/2 (/ x y))) 2)
(pow (cos (* 1/2 (/ x y))) 2)
(pow (cos (* 1/2 (/ x y))) 2)
(pow (cos (* 1/2 (/ x y))) 2)
(pow (cos (* 1/2 (/ x y))) 2)
(pow (cos (* 1/2 (/ x y))) 2)
1
(+ 1 (* -1/4 (/ (pow x 2) (pow y 2))))
(+ 1 (+ (* -1/4 (/ (pow x 2) (pow y 2))) (+ (* 1/192 (/ (pow x 4) (pow y 4))) (* 1/64 (/ (pow x 4) (pow y 4))))))
(+ 1 (+ (* -1/4 (/ (pow x 2) (pow y 2))) (+ (* -1/1536 (/ (pow x 6) (pow y 6))) (+ (* -1/23040 (/ (pow x 6) (pow y 6))) (+ (* 1/192 (/ (pow x 4) (pow y 4))) (* 1/64 (/ (pow x 4) (pow y 4))))))))
1
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(* -2 (pow (sqrt 1/2) 2))
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(- (+ (* -2 (/ (- (* -1/6 (* (pow x 3) (pow (sqrt 1/2) 6))) (* -1/2 (* (pow x 3) (pow (sqrt 1/2) 6)))) (* x (pow y 2)))) (+ (* -2 (/ (- (* -1/5040 (* (pow x 7) (pow (sqrt 1/2) 14))) (+ (* -1/2 (* (pow x 2) (* (pow (sqrt 1/2) 4) (- (* 1/120 (* (pow x 5) (pow (sqrt 1/2) 10))) (+ (* -1/2 (* (pow x 2) (* (pow (sqrt 1/2) 4) (- (* -1/6 (* (pow x 3) (pow (sqrt 1/2) 6))) (* -1/2 (* (pow x 3) (pow (sqrt 1/2) 6))))))) (* 1/24 (* (pow x 5) (pow (sqrt 1/2) 10)))))))) (+ (* -1/720 (* (pow x 7) (pow (sqrt 1/2) 14))) (* 1/24 (* (pow x 4) (* (pow (sqrt 1/2) 8) (- (* -1/6 (* (pow x 3) (pow (sqrt 1/2) 6))) (* -1/2 (* (pow x 3) (pow (sqrt 1/2) 6)))))))))) (* x (pow y 6)))) (+ (* -2 (/ (- (* 1/120 (* (pow x 5) (pow (sqrt 1/2) 10))) (+ (* -1/2 (* (pow x 2) (* (pow (sqrt 1/2) 4) (- (* -1/6 (* (pow x 3) (pow (sqrt 1/2) 6))) (* -1/2 (* (pow x 3) (pow (sqrt 1/2) 6))))))) (* 1/24 (* (pow x 5) (pow (sqrt 1/2) 10))))) (* x (pow y 4)))) (* -2 (pow (sqrt 1/2) 2))))) (+ (* -1/24 (/ (* (pow x 2) (- (* -2 (/ (- (* -1/6 (* (pow x 3) (pow (sqrt 1/2) 6))) (* -1/2 (* (pow x 3) (pow (sqrt 1/2) 6)))) x)) (* 1/12 (* (pow x 2) (pow (sqrt 1/2) 2))))) (pow y 4))) (+ (* -1/24 (/ (* (pow x 2) (- (* -2 (/ (- (* 1/120 (* (pow x 5) (pow (sqrt 1/2) 10))) (+ (* -1/2 (* (pow x 2) (* (pow (sqrt 1/2) 4) (- (* -1/6 (* (pow x 3) (pow (sqrt 1/2) 6))) (* -1/2 (* (pow x 3) (pow (sqrt 1/2) 6))))))) (* 1/24 (* (pow x 5) (pow (sqrt 1/2) 10))))) x)) (+ (* -1/24 (* (pow x 2) (- (* -2 (/ (- (* -1/6 (* (pow x 3) (pow (sqrt 1/2) 6))) (* -1/2 (* (pow x 3) (pow (sqrt 1/2) 6)))) x)) (* 1/12 (* (pow x 2) (pow (sqrt 1/2) 2)))))) (* -1/960 (* (pow x 4) (pow (sqrt 1/2) 2)))))) (pow y 6))) (+ (* -1/960 (/ (* (pow x 4) (pow (sqrt 1/2) 2)) (pow y 4))) (+ (* 1/161280 (/ (* (pow x 6) (pow (sqrt 1/2) 2)) (pow y 6))) (+ (* 1/1920 (/ (* (pow x 4) (- (* -2 (/ (- (* -1/6 (* (pow x 3) (pow (sqrt 1/2) 6))) (* -1/2 (* (pow x 3) (pow (sqrt 1/2) 6)))) x)) (* 1/12 (* (pow x 2) (pow (sqrt 1/2) 2))))) (pow y 6))) (* 1/12 (/ (* (pow x 2) (pow (sqrt 1/2) 2)) (pow y 2)))))))))
(* 2 (pow (sqrt 1/2) 2))
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(+ (* 2 (pow (sqrt 1/2) 2)) (* (pow x 2) (- (+ (* 2 (* y (- (* -1/6 (/ (pow (sqrt 1/2) 6) (pow y 3))) (* -1/2 (/ (pow (sqrt 1/2) 6) (pow y 3)))))) (* (pow x 2) (- (* 2 (* y (- (* 1/120 (/ (pow (sqrt 1/2) 10) (pow y 5))) (+ (* -1/2 (/ (* (pow (sqrt 1/2) 4) (- (* -1/6 (/ (pow (sqrt 1/2) 6) (pow y 3))) (* -1/2 (/ (pow (sqrt 1/2) 6) (pow y 3))))) (pow y 2))) (* 1/24 (/ (pow (sqrt 1/2) 10) (pow y 5))))))) (+ (* -1/24 (/ (- (* 2 (* y (- (* -1/6 (/ (pow (sqrt 1/2) 6) (pow y 3))) (* -1/2 (/ (pow (sqrt 1/2) 6) (pow y 3)))))) (* -1/12 (/ (pow (sqrt 1/2) 2) (pow y 2)))) (pow y 2))) (* 1/960 (/ (pow (sqrt 1/2) 2) (pow y 4))))))) (* -1/12 (/ (pow (sqrt 1/2) 2) (pow y 2))))))
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(/ (sin (/ (* x (pow (sqrt 1/2) 2)) y)) (* (cos (/ (* x (pow (sqrt 1/2) 2)) y)) (sin (* 1/2 (/ x y)))))
(/ (sin (/ (* x (pow (sqrt 1/2) 2)) y)) (* (cos (/ (* x (pow (sqrt 1/2) 2)) y)) (sin (* 1/2 (/ x y)))))
(/ (sin (/ (* x (pow (sqrt 1/2) 2)) y)) (* (cos (/ (* x (pow (sqrt 1/2) 2)) y)) (sin (* 1/2 (/ x y)))))
(/ (sin (/ (* x (pow (sqrt 1/2) 2)) y)) (* (cos (/ (* x (pow (sqrt 1/2) 2)) y)) (sin (* 1/2 (/ x y)))))
(/ (sin (/ (* x (pow (sqrt 1/2) 2)) y)) (* (cos (/ (* x (pow (sqrt 1/2) 2)) y)) (sin (* 1/2 (/ x y)))))
(/ (sin (/ (* x (pow (sqrt 1/2) 2)) y)) (* (cos (/ (* x (pow (sqrt 1/2) 2)) y)) (sin (* 1/2 (/ x y)))))
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(/ (sin (/ (* x (pow (sqrt 1/2) 2)) y)) (cos (/ (* x (pow (sqrt 1/2) 2)) y)))
(/ (sin (/ (* x (pow (sqrt 1/2) 2)) y)) (cos (/ (* x (pow (sqrt 1/2) 2)) y)))
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(* -1 (/ (* x (pow (sqrt 1/2) 2)) y))
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(* -1 (/ (- (+ (* -1/6 (/ (* (pow x 3) (pow (sqrt 1/2) 6)) (pow y 2))) (+ (* 1/120 (/ (* (pow x 5) (pow (sqrt 1/2) 10)) (pow y 4))) (* x (pow (sqrt 1/2) 2)))) (+ (* -1/2 (/ (* (pow x 2) (* (pow (sqrt 1/2) 4) (- (* -1/6 (* (pow x 3) (pow (sqrt 1/2) 6))) (* -1/2 (* (pow x 3) (pow (sqrt 1/2) 6)))))) (pow y 4))) (+ (* -1/2 (/ (* (pow x 3) (pow (sqrt 1/2) 6)) (pow y 2))) (* 1/24 (/ (* (pow x 5) (pow (sqrt 1/2) 10)) (pow y 4)))))) y))
(* -1 (/ (- (+ (* -1/6 (/ (* (pow x 3) (pow (sqrt 1/2) 6)) (pow y 2))) (+ (* -1/5040 (/ (* (pow x 7) (pow (sqrt 1/2) 14)) (pow y 6))) (+ (* 1/120 (/ (* (pow x 5) (pow (sqrt 1/2) 10)) (pow y 4))) (* x (pow (sqrt 1/2) 2))))) (+ (* -1/2 (/ (* (pow x 2) (* (pow (sqrt 1/2) 4) (- (* -1/6 (* (pow x 3) (pow (sqrt 1/2) 6))) (* -1/2 (* (pow x 3) (pow (sqrt 1/2) 6)))))) (pow y 4))) (+ (* -1/2 (/ (* (pow x 2) (* (pow (sqrt 1/2) 4) (- (* 1/120 (* (pow x 5) (pow (sqrt 1/2) 10))) (+ (* -1/2 (* (pow x 2) (* (pow (sqrt 1/2) 4) (- (* -1/6 (* (pow x 3) (pow (sqrt 1/2) 6))) (* -1/2 (* (pow x 3) (pow (sqrt 1/2) 6))))))) (* 1/24 (* (pow x 5) (pow (sqrt 1/2) 10))))))) (pow y 6))) (+ (* -1/2 (/ (* (pow x 3) (pow (sqrt 1/2) 6)) (pow y 2))) (+ (* -1/720 (/ (* (pow x 7) (pow (sqrt 1/2) 14)) (pow y 6))) (+ (* 1/24 (/ (* (pow x 4) (* (pow (sqrt 1/2) 8) (- (* -1/6 (* (pow x 3) (pow (sqrt 1/2) 6))) (* -1/2 (* (pow x 3) (pow (sqrt 1/2) 6)))))) (pow y 6))) (* 1/24 (/ (* (pow x 5) (pow (sqrt 1/2) 10)) (pow y 4))))))))) y))
(/ (* x (pow (sqrt 1/2) 2)) y)
(* x (+ (* (pow x 2) (- (* -1/6 (/ (pow (sqrt 1/2) 6) (pow y 3))) (* -1/2 (/ (pow (sqrt 1/2) 6) (pow y 3))))) (/ (pow (sqrt 1/2) 2) y)))
(* x (+ (* (pow x 2) (- (+ (* -1/6 (/ (pow (sqrt 1/2) 6) (pow y 3))) (* (pow x 2) (- (* 1/120 (/ (pow (sqrt 1/2) 10) (pow y 5))) (+ (* -1/2 (/ (* (pow (sqrt 1/2) 4) (- (* -1/6 (/ (pow (sqrt 1/2) 6) (pow y 3))) (* -1/2 (/ (pow (sqrt 1/2) 6) (pow y 3))))) (pow y 2))) (* 1/24 (/ (pow (sqrt 1/2) 10) (pow y 5))))))) (* -1/2 (/ (pow (sqrt 1/2) 6) (pow y 3))))) (/ (pow (sqrt 1/2) 2) y)))
(* x (+ (* (pow x 2) (- (+ (* -1/6 (/ (pow (sqrt 1/2) 6) (pow y 3))) (* (pow x 2) (- (+ (* 1/120 (/ (pow (sqrt 1/2) 10) (pow y 5))) (* (pow x 2) (- (* -1/5040 (/ (pow (sqrt 1/2) 14) (pow y 7))) (+ (* -1/2 (/ (* (pow (sqrt 1/2) 4) (- (* 1/120 (/ (pow (sqrt 1/2) 10) (pow y 5))) (+ (* -1/2 (/ (* (pow (sqrt 1/2) 4) (- (* -1/6 (/ (pow (sqrt 1/2) 6) (pow y 3))) (* -1/2 (/ (pow (sqrt 1/2) 6) (pow y 3))))) (pow y 2))) (* 1/24 (/ (pow (sqrt 1/2) 10) (pow y 5)))))) (pow y 2))) (+ (* -1/720 (/ (pow (sqrt 1/2) 14) (pow y 7))) (* 1/24 (/ (* (pow (sqrt 1/2) 8) (- (* -1/6 (/ (pow (sqrt 1/2) 6) (pow y 3))) (* -1/2 (/ (pow (sqrt 1/2) 6) (pow y 3))))) (pow y 4)))))))) (+ (* -1/2 (/ (* (pow (sqrt 1/2) 4) (- (* -1/6 (/ (pow (sqrt 1/2) 6) (pow y 3))) (* -1/2 (/ (pow (sqrt 1/2) 6) (pow y 3))))) (pow y 2))) (* 1/24 (/ (pow (sqrt 1/2) 10) (pow y 5))))))) (* -1/2 (/ (pow (sqrt 1/2) 6) (pow y 3))))) (/ (pow (sqrt 1/2) 2) y)))
(/ (sin (/ (* x (pow (sqrt 1/2) 2)) y)) (cos (/ (* x (pow (sqrt 1/2) 2)) y)))
(/ (sin (/ (* x (pow (sqrt 1/2) 2)) y)) (cos (/ (* x (pow (sqrt 1/2) 2)) y)))
(/ (sin (/ (* x (pow (sqrt 1/2) 2)) y)) (cos (/ (* x (pow (sqrt 1/2) 2)) y)))
(/ (sin (/ (* x (pow (sqrt 1/2) 2)) y)) (cos (/ (* x (pow (sqrt 1/2) 2)) y)))
(/ (sin (/ (* x (pow (sqrt 1/2) 2)) y)) (cos (/ (* x (pow (sqrt 1/2) 2)) y)))
(/ (sin (/ (* x (pow (sqrt 1/2) 2)) y)) (cos (/ (* x (pow (sqrt 1/2) 2)) y)))
(/ (sin (/ (* x (pow (sqrt 1/2) 2)) y)) (cos (/ (* x (pow (sqrt 1/2) 2)) y)))
(/ (sin (/ (* x (pow (sqrt 1/2) 2)) y)) (cos (/ (* x (pow (sqrt 1/2) 2)) y)))
(/ (* x (pow (sqrt 1/2) 2)) y)
(/ (* x (pow (sqrt 1/2) 2)) y)
(/ (* x (pow (sqrt 1/2) 2)) y)
(/ (* x (pow (sqrt 1/2) 2)) y)
(/ (* x (pow (sqrt 1/2) 2)) y)
(/ (* x (pow (sqrt 1/2) 2)) y)
(/ (* x (pow (sqrt 1/2) 2)) y)
(/ (* x (pow (sqrt 1/2) 2)) y)
(* -1 (/ (* x (pow (sqrt 1/2) 2)) y))
(* -1 (/ (* x (pow (sqrt 1/2) 2)) y))
(* -1 (/ (* x (pow (sqrt 1/2) 2)) y))
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(/ (* x (pow (sqrt 1/2) 2)) y)
(/ (* x (pow (sqrt 1/2) 2)) y)
(/ (* x (pow (sqrt 1/2) 2)) y)
(/ (* x (pow (sqrt 1/2) 2)) y)
(/ (* x (pow (sqrt 1/2) 2)) y)
(/ (* x (pow (sqrt 1/2) 2)) y)
(/ (* x (pow (sqrt 1/2) 2)) y)
(/ (* x (pow (sqrt 1/2) 2)) y)
(/ (* x (pow (sqrt 1/2) 2)) y)
(/ (* x (pow (sqrt 1/2) 2)) y)
(/ (* x (pow (sqrt 1/2) 2)) y)
(/ (sqrt 1/2) y)
(/ (sqrt 1/2) y)
(/ (sqrt 1/2) y)
(/ (sqrt 1/2) y)
(/ (sqrt 1/2) y)
(/ (sqrt 1/2) y)
(/ (sqrt 1/2) y)
(/ (sqrt 1/2) y)
(* -1 (/ (sqrt 1/2) y))
(* -1 (/ (sqrt 1/2) y))
(* -1 (/ (sqrt 1/2) y))
(* -1 (/ (sqrt 1/2) y))
(exp (* 1/8 (+ (log 1/16) (* -3 (log y)))))
(exp (* 1/8 (+ (log 1/16) (* -3 (log y)))))
(exp (* 1/8 (+ (log 1/16) (* -3 (log y)))))
(exp (* 1/8 (+ (log 1/16) (* -3 (log y)))))
(exp (* 1/8 (+ (log 1/16) (* 3 (log (/ 1 y))))))
(exp (* 1/8 (+ (log 1/16) (* 3 (log (/ 1 y))))))
(exp (* 1/8 (+ (log 1/16) (* 3 (log (/ 1 y))))))
(exp (* 1/8 (+ (log 1/16) (* 3 (log (/ 1 y))))))
(exp (* 1/8 (+ (log -1/16) (* 3 (log (/ -1 y))))))
(exp (* 1/8 (+ (log -1/16) (* 3 (log (/ -1 y))))))
(exp (* 1/8 (+ (log -1/16) (* 3 (log (/ -1 y))))))
(exp (* 1/8 (+ (log -1/16) (* 3 (log (/ -1 y))))))
1
(+ 1 (* -1/8 (/ (pow x 2) (pow y 2))))
(+ 1 (* (pow x 2) (- (* 1/384 (/ (pow x 2) (pow y 4))) (* 1/8 (/ 1 (pow y 2))))))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ (* -1/46080 (/ (pow x 2) (pow y 6))) (* 1/384 (/ 1 (pow y 4))))) (* 1/8 (/ 1 (pow y 2))))))
(cos (* 1/2 (/ x y)))
(cos (* 1/2 (/ x y)))
(cos (* 1/2 (/ x y)))
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(cos (* 1/2 (/ x y)))
(cos (* 1/2 (/ x y)))
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(cos (* 1/2 (/ x y)))
(cos (* 1/2 (/ x y)))
(cos (* 1/2 (/ x y)))
(cos (* 1/2 (/ x y)))
(cos (* 1/2 (/ x y)))
1
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(+ 1 (+ (* -1/8 (/ (pow x 2) (pow y 2))) (+ (* -1/46080 (/ (pow x 6) (pow y 6))) (* 1/384 (/ (pow x 4) (pow y 4))))))
1
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(* 1/2 (/ x y))
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(/ (+ (* -1/48 (/ (pow x 3) (pow y 2))) (* 1/2 x)) y)
(/ (+ (* -1/48 (/ (pow x 3) (pow y 2))) (+ (* 1/3840 (/ (pow x 5) (pow y 4))) (* 1/2 x))) y)
(/ (+ (* -1/48 (/ (pow x 3) (pow y 2))) (+ (* -1/645120 (/ (pow x 7) (pow y 6))) (+ (* 1/3840 (/ (pow x 5) (pow y 4))) (* 1/2 x)))) y)
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(* -1 (/ (+ (* -1/2 x) (+ (* -1/3840 (/ (pow x 5) (pow y 4))) (+ (* 1/645120 (/ (pow x 7) (pow y 6))) (* 1/48 (/ (pow x 3) (pow y 2)))))) y))
(* 1/2 (/ x y))
(* x (+ (* -1/48 (/ (pow x 2) (pow y 3))) (* 1/2 (/ 1 y))))
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(* x (+ (* (pow x 2) (- (* (pow x 2) (+ (* -1/645120 (/ (pow x 2) (pow y 7))) (* 1/3840 (/ 1 (pow y 5))))) (* 1/48 (/ 1 (pow y 3))))) (* 1/2 (/ 1 y))))
(sin (* 1/2 (/ x y)))
(sin (* 1/2 (/ x y)))
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(sin (* 1/2 (/ x y)))
(sin (* 1/2 (/ x y)))
(sin (* 1/2 (/ x y)))
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(sin (* 1/2 (/ x y)))
(sin (* 1/2 (/ x y)))
(sin (* 1/2 (/ x y)))
(* 1/2 (/ x y))
(/ (+ (* -1/48 (/ (pow x 3) (pow y 2))) (* 1/2 x)) y)
(/ (+ (* -1/48 (/ (pow x 3) (pow y 2))) (+ (* 1/3840 (/ (pow x 5) (pow y 4))) (* 1/2 x))) y)
(/ (+ (* -1/48 (/ (pow x 3) (pow y 2))) (+ (* -1/645120 (/ (pow x 7) (pow y 6))) (+ (* 1/3840 (/ (pow x 5) (pow y 4))) (* 1/2 x)))) y)
(* 1/2 (/ x y))
(* -1 (/ (+ (* -1/2 x) (* 1/48 (/ (pow x 3) (pow y 2)))) y))
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(* -1 (/ (+ (* -1/2 x) (+ (* -1/3840 (/ (pow x 5) (pow y 4))) (+ (* 1/645120 (/ (pow x 7) (pow y 6))) (* 1/48 (/ (pow x 3) (pow y 2)))))) y))

Outputs
(/ 1 (cos (* (pow 1/16 1/8) (/ (* x (sqrt 1/2)) y))))
(/.f64 #s(literal 1 binary64) (cos.f64 (.f64 (pow.f64 #s(literal 1/16 binary64) #s(literal 1/8 binary64)) (/.f64 (.f64 x (sqrt.f64 #s(literal 1/2 binary64))) y))))
(/ 1 (cos (* (pow 1/16 1/8) (/ (* x (sqrt 1/2)) y))))
(/.f64 #s(literal 1 binary64) (cos.f64 (.f64 (pow.f64 #s(literal 1/16 binary64) #s(literal 1/8 binary64)) (/.f64 (.f64 x (sqrt.f64 #s(literal 1/2 binary64))) y))))
(/ 1 (cos (* (pow 1/16 1/8) (/ (* x (sqrt 1/2)) y))))
(/.f64 #s(literal 1 binary64) (cos.f64 (.f64 (pow.f64 #s(literal 1/16 binary64) #s(literal 1/8 binary64)) (/.f64 (.f64 x (sqrt.f64 #s(literal 1/2 binary64))) y))))
(/ 1 (cos (* (pow 1/16 1/8) (/ (* x (sqrt 1/2)) y))))
(/.f64 #s(literal 1 binary64) (cos.f64 (.f64 (pow.f64 #s(literal 1/16 binary64) #s(literal 1/8 binary64)) (/.f64 (.f64 x (sqrt.f64 #s(literal 1/2 binary64))) y))))
1
#s(literal 1 binary64)
(+ 1 (* 1/2 (* (pow 1/16 1/4) (/ (* (pow x 2) (pow (sqrt 1/2) 2)) (pow y 2)))))
(fma.f64 (/.f64 (.f64 x (.f64 x #s(literal 1/2 binary64))) (.f64 y y)) (.f64 (pow.f64 #s(literal 1/16 binary64) #s(literal 1/4 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(- (+ 1 (* -1 (/ (+ (* -1/16 (* (pow x 4) (pow (sqrt 1/2) 4))) (* 1/96 (* (pow x 4) (pow (sqrt 1/2) 4)))) (pow y 4)))) (* -1/2 (* (pow 1/16 1/4) (/ (* (pow x 2) (pow (sqrt 1/2) 2)) (pow y 2)))))
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(* -1 (/ (+ (* -1/2 x) (+ (* -1/3840 (/ (pow x 5) (pow y 4))) (* 1/48 (/ (pow x 3) (pow y 2))))) y))
(/.f64 (fma.f64 #s(literal 1/48 binary64) (/.f64 (.f64 x (.f64 x x)) (.f64 y y)) (fma.f64 #s(literal -1/3840 binary64) (/.f64 (pow.f64 x #s(literal 5 binary64)) (pow.f64 y #s(literal 4 binary64))) (.f64 x #s(literal -1/2 binary64)))) (neg.f64 y))
(* -1 (/ (+ (* -1/2 x) (+ (* -1/3840 (/ (pow x 5) (pow y 4))) (+ (* 1/645120 (/ (pow x 7) (pow y 6))) (* 1/48 (/ (pow x 3) (pow y 2)))))) y))
(/.f64 (fma.f64 x #s(literal -1/2 binary64) (fma.f64 #s(literal -1/3840 binary64) (/.f64 (pow.f64 x #s(literal 5 binary64)) (pow.f64 y #s(literal 4 binary64))) (fma.f64 #s(literal 1/48 binary64) (/.f64 (.f64 x (.f64 x x)) (.f64 y y)) (/.f64 (.f64 (pow.f64 x #s(literal 7 binary64)) #s(literal 1/645120 binary64)) (pow.f64 y #s(literal 6 binary64)))))) (neg.f64 y))

rewrite250.0ms (1.7%)

Memory

-1.9MiB live, 443.7MiB allocated

Rules

4 314×	`lower-*.f32`
4 280×	`lower-*.f64`
3 758×	`lower-/.f32`
3 742×	`lower-/.f64`
2 816×	`lower-fma.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	57	398
0	96	408
1	292	358
2	1447	245
0	8740	242

Stop Event

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

Counts

24 → 578

Calls

Call 1

Inputs
(/.f64 #s(literal 1 binary64) (cos.f64 (.f64 (.f64 (pow.f64 y #s(literal -1/8 binary64)) (.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/8 binary64)) (pow.f64 (.f64 y #s(literal 2 binary64)) #s(literal -3/8 binary64)))) (.f64 x (pow.f64 (.f64 y #s(literal 2 binary64)) #s(literal -1/2 binary64))))))
(cos.f64 (.f64 (.f64 (pow.f64 y #s(literal -1/8 binary64)) (.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/8 binary64)) (pow.f64 (.f64 y #s(literal 2 binary64)) #s(literal -3/8 binary64)))) (.f64 x (pow.f64 (.f64 y #s(literal 2 binary64)) #s(literal -1/2 binary64)))))
(.f64 (.f64 (pow.f64 y #s(literal -1/8 binary64)) (.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/8 binary64)) (pow.f64 (.f64 y #s(literal 2 binary64)) #s(literal -3/8 binary64)))) (.f64 x (pow.f64 (.f64 y #s(literal 2 binary64)) #s(literal -1/2 binary64))))
(.f64 (pow.f64 y #s(literal -1/8 binary64)) (.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/8 binary64)) (pow.f64 (*.f64 y #s(literal 2 binary64)) #s(literal -3/8 binary64))))
(/.f64 #s(literal 1 binary64) #s(approx (cos (/ x (* y 2))) #s(approx (+ (* (/ (* x x) (* y y)) -1/8) 1) (/.f64 (.f64 (.f64 x x) #s(literal -1/8 binary64)) (*.f64 y y)))))
#s(approx (cos (/ x (* y 2))) #s(approx (+ (* (/ (* x x) (* y y)) -1/8) 1) (/.f64 (.f64 (.f64 x x) #s(literal -1/8 binary64)) (*.f64 y y))))
#s(approx (+ (* (/ (* x x) (* y y)) -1/8) 1) (/.f64 (.f64 (.f64 x x) #s(literal -1/8 binary64)) (*.f64 y y)))
(/.f64 (.f64 (.f64 x x) #s(literal -1/8 binary64)) (*.f64 y y))
(pow.f64 (.f64 (cos.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) #s(approx (cos (/ x (* y 2))) #s(literal 1 binary64))) #s(literal -1/2 binary64))
(.f64 (cos.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) #s(approx (cos (/ x (* y 2))) #s(literal 1 binary64)))
(cos.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))
(/.f64 x (*.f64 y #s(literal 2 binary64)))
(/.f64 (.f64 (neg.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))))) (/.f64 #s(literal -1/2 binary64) y)) (.f64 (.f64 x (.f64 x (.f64 x x))) x))
(.f64 (neg.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))))) (/.f64 #s(literal -1/2 binary64) y))
(/.f64 (tan.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 (.f64 (neg.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))))) (/.f64 #s(literal -1/2 binary64) y)) (.f64 (.f64 x (.f64 x (*.f64 x x))) x))))
(tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))
(/.f64 (tan.f64 (.f64 (pow.f64 (.f64 (.f64 y #s(literal 2 binary64)) y) #s(literal -1/2 binary64)) (.f64 x (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64))))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
(tan.f64 (.f64 (pow.f64 (.f64 (.f64 y #s(literal 2 binary64)) y) #s(literal -1/2 binary64)) (.f64 x (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)))))
(.f64 (pow.f64 (.f64 (.f64 y #s(literal 2 binary64)) y) #s(literal -1/2 binary64)) (.f64 x (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64))))
(pow.f64 (.f64 (.f64 y #s(literal 2 binary64)) y) #s(literal -1/2 binary64))
(.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/8 binary64)) (pow.f64 (.f64 y #s(literal 2 binary64)) #s(literal -3/8 binary64)))
#s(approx (cos (/ x (* y 2))) #s(literal 1 binary64))
(sin.f64 (/.f64 (.f64 (neg.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))))) (/.f64 #s(literal -1/2 binary64) y)) (.f64 (.f64 x (.f64 x (.f64 x x))) x)))
(sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))

Outputs
(exp.f64 (.f64 (log.f64 (cos.f64 (/.f64 x (.f64 y #s(literal 2 binary64))))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 #s(literal -1 binary64) (cos.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))))
(neg.f64 (/.f64 #s(literal -1 binary64) (cos.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))))
(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (cos.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))))
(pow.f64 (cos.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) #s(literal -1 binary64))
(pow.f64 (pow.f64 (cos.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) #s(literal -1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (.f64 (cos.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) (cos.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) #s(literal -1/2 binary64))
(pow.f64 (exp.f64 (log.f64 (cos.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))) #s(literal -1 binary64))
(.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x (.f64 y #s(literal 2 binary64))))))
(.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x (.f64 y #s(literal 2 binary64))))) #s(literal 1 binary64))
(.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (cos.f64 (/.f64 x (.f64 y #s(literal 2 binary64))))))
(.f64 (pow.f64 (cos.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) #s(literal -1/2 binary64)) (pow.f64 (cos.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) #s(literal -1/2 binary64)))
(exp.f64 (neg.f64 (.f64 (log.f64 (cos.f64 (/.f64 x (.f64 y #s(literal 2 binary64))))) #s(literal -1 binary64))))
(cos.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))
(cos.f64 (/.f64 x (*.f64 y #s(literal -2 binary64))))
(-.f64 #s(literal 0 binary64) (neg.f64 (cos.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))))
(-.f64 #s(literal 0 binary64) (/.f64 (cos.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) #s(literal -1 binary64)))
(neg.f64 (neg.f64 (cos.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) #s(literal 1 binary64)))
(/.f64 (cos.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) #s(literal 1 binary64))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))))
(/.f64 (neg.f64 (cos.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) #s(literal -1 binary64))
(pow.f64 (cos.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) #s(literal 1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) #s(literal -1 binary64))
(.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))))
(.f64 (cos.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) #s(literal 1 binary64))
(.f64 #s(literal -1 binary64) (neg.f64 (cos.f64 (/.f64 x (.f64 y #s(literal 2 binary64))))))
(.f64 (neg.f64 (cos.f64 (/.f64 x (.f64 y #s(literal 2 binary64))))) #s(literal -1 binary64))
(exp.f64 (.f64 (log.f64 (/.f64 (.f64 y #s(literal 2 binary64)) x)) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 x (*.f64 y #s(literal -2 binary64))))
(-.f64 (/.f64 #s(literal 0 binary64) (.f64 y #s(literal -2 binary64))) (/.f64 x (.f64 y #s(literal -2 binary64))))
(neg.f64 (/.f64 x (*.f64 y #s(literal -2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 y #s(literal 2 binary64)) x))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 (*.f64 y #s(literal 2 binary64)) x))))
(/.f64 #s(literal 1 binary64) (/.f64 y (*.f64 x #s(literal 1/2 binary64))))
(/.f64 x (*.f64 y #s(literal 2 binary64)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (*.f64 y #s(literal 2 binary64)) x)))
(/.f64 (neg.f64 x) (*.f64 y #s(literal -2 binary64)))
(/.f64 (/.f64 x y) #s(literal 2 binary64))
(/.f64 (neg.f64 (/.f64 x y)) #s(literal -2 binary64))
(/.f64 (*.f64 x #s(literal 1/2 binary64)) y)
(/.f64 (neg.f64 (neg.f64 (/.f64 x y))) #s(literal 2 binary64))
(/.f64 (neg.f64 (*.f64 x #s(literal 1/2 binary64))) (neg.f64 y))
(pow.f64 (/.f64 (*.f64 y #s(literal 2 binary64)) x) #s(literal -1 binary64))
(.f64 #s(literal 1 binary64) (/.f64 x (.f64 y #s(literal 2 binary64))))
(.f64 (pow.f64 y #s(literal -1/8 binary64)) (.f64 (.f64 (pow.f64 y #s(literal -3/8 binary64)) (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64))) (.f64 x (pow.f64 (*.f64 y #s(literal 2 binary64)) #s(literal -1/2 binary64)))))
(.f64 (.f64 (pow.f64 y #s(literal -3/8 binary64)) (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64))) (.f64 (pow.f64 y #s(literal -1/8 binary64)) (.f64 x (pow.f64 (*.f64 y #s(literal 2 binary64)) #s(literal -1/2 binary64)))))
(*.f64 x (/.f64 #s(literal 1/2 binary64) y))
(.f64 x (pow.f64 (.f64 #s(literal 2 binary64) (.f64 y (.f64 y #s(literal 2 binary64)))) #s(literal -1/2 binary64)))
(.f64 (pow.f64 (.f64 y #s(literal 2 binary64)) #s(literal -1/2 binary64)) (.f64 x (pow.f64 (.f64 y #s(literal 2 binary64)) #s(literal -1/2 binary64))))
(.f64 (.f64 x (pow.f64 (.f64 y #s(literal 2 binary64)) #s(literal -1/2 binary64))) (pow.f64 (.f64 y #s(literal 2 binary64)) #s(literal -1/2 binary64)))
(.f64 (pow.f64 (.f64 y (.f64 y #s(literal 2 binary64))) #s(literal -1/2 binary64)) (.f64 x (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64))))
(.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)) (.f64 x (pow.f64 (.f64 y (.f64 y #s(literal 2 binary64))) #s(literal -1/2 binary64))))
(.f64 (.f64 x (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64))) (pow.f64 (.f64 y (.f64 y #s(literal 2 binary64))) #s(literal -1/2 binary64)))
(.f64 #s(literal -1 binary64) (/.f64 x (.f64 y #s(literal -2 binary64))))
(.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (/.f64 (.f64 y #s(literal 2 binary64)) x))))
(*.f64 (neg.f64 x) (/.f64 #s(literal -1/2 binary64) y))
(*.f64 #s(literal 1/2 binary64) (/.f64 x y))
(*.f64 (/.f64 x y) #s(literal 1/2 binary64))
(*.f64 (/.f64 #s(literal 1 binary64) y) (pow.f64 (/.f64 #s(literal 2 binary64) x) #s(literal -1 binary64)))
(.f64 (pow.f64 (.f64 y (.f64 y #s(literal 2 binary64))) #s(literal -1/4 binary64)) (.f64 (pow.f64 (.f64 y (.f64 y #s(literal 2 binary64))) #s(literal -1/4 binary64)) (*.f64 x (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)))))
(.f64 (pow.f64 y #s(literal -1/16 binary64)) (.f64 (pow.f64 y #s(literal -1/16 binary64)) (.f64 (.f64 (pow.f64 y #s(literal -3/8 binary64)) (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64))) (.f64 x (pow.f64 (.f64 y #s(literal 2 binary64)) #s(literal -1/2 binary64))))))
(.f64 (pow.f64 (.f64 y #s(literal 2 binary64)) #s(literal -1/8 binary64)) (.f64 (pow.f64 (.f64 y #s(literal 2 binary64)) #s(literal -3/8 binary64)) (.f64 x (pow.f64 (.f64 y #s(literal 2 binary64)) #s(literal -1/2 binary64)))))
(.f64 (.f64 x (pow.f64 (.f64 y (.f64 y #s(literal 2 binary64))) #s(literal -1/2 binary64))) (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)))
(.f64 (.f64 (.f64 (pow.f64 y #s(literal -3/8 binary64)) (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64))) (.f64 x (pow.f64 (*.f64 y #s(literal 2 binary64)) #s(literal -1/2 binary64)))) (pow.f64 y #s(literal -1/8 binary64)))
(*.f64 (/.f64 #s(literal 1/2 binary64) y) x)
(*.f64 (/.f64 #s(literal 1/2 binary64) y) (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)))
(*.f64 (neg.f64 (/.f64 x y)) #s(literal -1/2 binary64))
(.f64 (pow.f64 (.f64 (.f64 y (.f64 y #s(literal 2 binary64))) #s(literal 2 binary64)) #s(literal -1/2 binary64)) x)
(.f64 (.f64 (.f64 x (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64))) (pow.f64 (.f64 y #s(literal 2 binary64)) #s(literal -1/2 binary64))) (pow.f64 y #s(literal -1/2 binary64)))
(.f64 (.f64 (.f64 x (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64))) (pow.f64 (.f64 y (.f64 y #s(literal 2 binary64))) #s(literal -1/4 binary64))) (pow.f64 (.f64 y (*.f64 y #s(literal 2 binary64))) #s(literal -1/4 binary64)))
(.f64 (.f64 (.f64 x (pow.f64 (.f64 y (*.f64 y #s(literal 2 binary64))) #s(literal -1/2 binary64))) (pow.f64 #s(literal 2 binary64) #s(literal -1/4 binary64))) (pow.f64 #s(literal 2 binary64) #s(literal -1/4 binary64)))
(.f64 (.f64 (.f64 x (pow.f64 (.f64 y #s(literal 2 binary64)) #s(literal -1/2 binary64))) (pow.f64 y #s(literal -1/8 binary64))) (*.f64 (pow.f64 y #s(literal -3/8 binary64)) (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64))))
(.f64 (.f64 (.f64 x (pow.f64 (.f64 y #s(literal 2 binary64)) #s(literal -1/2 binary64))) (pow.f64 (.f64 y #s(literal 2 binary64)) #s(literal -1/8 binary64))) (pow.f64 (.f64 y #s(literal 2 binary64)) #s(literal -3/8 binary64)))
(.f64 (.f64 (.f64 x (pow.f64 (.f64 y #s(literal 2 binary64)) #s(literal -1/2 binary64))) (pow.f64 y #s(literal -1/2 binary64))) (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)))
(.f64 (.f64 (.f64 x (pow.f64 (.f64 y #s(literal 2 binary64)) #s(literal -1/2 binary64))) (pow.f64 (.f64 y #s(literal 2 binary64)) #s(literal -1/4 binary64))) (pow.f64 (.f64 y #s(literal 2 binary64)) #s(literal -1/4 binary64)))
(.f64 (.f64 x #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) y))
(.f64 (pow.f64 (/.f64 (.f64 y #s(literal 2 binary64)) x) #s(literal -1/2 binary64)) (pow.f64 (/.f64 (*.f64 y #s(literal 2 binary64)) x) #s(literal -1/2 binary64)))
(exp.f64 (.f64 #s(literal -1/2 binary64) (log.f64 (.f64 y #s(literal 2 binary64)))))
(exp.f64 (.f64 (log.f64 (pow.f64 (.f64 y #s(literal 2 binary64)) #s(literal -1/4 binary64))) #s(literal 2 binary64)))
(exp.f64 (.f64 (log.f64 (.f64 (.f64 y #s(literal 2 binary64)) (.f64 y #s(literal 2 binary64)))) #s(literal -1/4 binary64)))
(exp.f64 (.f64 (.f64 (log.f64 (*.f64 y #s(literal 2 binary64))) #s(literal -1/4 binary64)) #s(literal 2 binary64)))
(exp.f64 (fma.f64 #s(literal -1/2 binary64) (log.f64 #s(literal 2 binary64)) (*.f64 (log.f64 y) #s(literal -1/2 binary64))))
(exp.f64 (fma.f64 (log.f64 y) #s(literal -1/2 binary64) (*.f64 #s(literal -1/2 binary64) (log.f64 #s(literal 2 binary64)))))
(exp.f64 (fma.f64 (log.f64 (.f64 y #s(literal 2 binary64))) #s(literal -1/4 binary64) (.f64 (log.f64 (*.f64 y #s(literal 2 binary64))) #s(literal -1/4 binary64))))
(exp.f64 (fma.f64 #s(literal -1/8 binary64) (log.f64 y) (fma.f64 #s(literal -1/8 binary64) (log.f64 #s(literal 2 binary64)) (.f64 #s(literal -3/8 binary64) (log.f64 (.f64 y #s(literal 2 binary64)))))))
(exp.f64 (fma.f64 #s(literal -1/8 binary64) (log.f64 y) (fma.f64 #s(literal -3/8 binary64) (log.f64 (.f64 y #s(literal 2 binary64))) (.f64 #s(literal -1/8 binary64) (log.f64 #s(literal 2 binary64))))))
(exp.f64 (fma.f64 #s(literal -3/8 binary64) (log.f64 (.f64 y #s(literal 2 binary64))) (fma.f64 #s(literal -1/8 binary64) (log.f64 y) (.f64 #s(literal -1/8 binary64) (log.f64 #s(literal 2 binary64))))))
(exp.f64 (+.f64 (fma.f64 #s(literal -1/8 binary64) (log.f64 #s(literal 2 binary64)) (.f64 #s(literal -3/8 binary64) (log.f64 (.f64 y #s(literal 2 binary64))))) (*.f64 #s(literal -1/8 binary64) (log.f64 y))))
(exp.f64 (+.f64 (fma.f64 #s(literal -3/8 binary64) (log.f64 (.f64 y #s(literal 2 binary64))) (.f64 #s(literal -1/8 binary64) (log.f64 #s(literal 2 binary64)))) (*.f64 #s(literal -1/8 binary64) (log.f64 y))))
(exp.f64 (+.f64 (fma.f64 #s(literal -1/8 binary64) (log.f64 y) (.f64 #s(literal -1/8 binary64) (log.f64 #s(literal 2 binary64)))) (.f64 #s(literal -3/8 binary64) (log.f64 (*.f64 y #s(literal 2 binary64))))))
(pow.f64 (*.f64 y #s(literal 2 binary64)) #s(literal -1/2 binary64))
(pow.f64 (pow.f64 (*.f64 y #s(literal 2 binary64)) #s(literal -1/4 binary64)) #s(literal 2 binary64))
(pow.f64 (.f64 (.f64 y #s(literal 2 binary64)) (*.f64 y #s(literal 2 binary64))) #s(literal -1/4 binary64))
(pow.f64 (exp.f64 #s(literal -1/2 binary64)) (log.f64 (*.f64 y #s(literal 2 binary64))))
(.f64 (pow.f64 y #s(literal -1/8 binary64)) (.f64 (pow.f64 y #s(literal -3/8 binary64)) (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64))))
(.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/8 binary64)) (.f64 (pow.f64 (*.f64 y #s(literal 2 binary64)) #s(literal -3/8 binary64)) (pow.f64 y #s(literal -1/8 binary64))))
(.f64 (pow.f64 (.f64 y #s(literal 2 binary64)) #s(literal -3/8 binary64)) (pow.f64 (*.f64 y #s(literal 2 binary64)) #s(literal -1/8 binary64)))
(.f64 (.f64 (pow.f64 y #s(literal -3/8 binary64)) (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64))) (pow.f64 y #s(literal -1/8 binary64)))
(*.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)) (pow.f64 y #s(literal -1/2 binary64)))
(*.f64 (pow.f64 y #s(literal -1/2 binary64)) (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)))
(.f64 (pow.f64 (.f64 y #s(literal 2 binary64)) #s(literal -1/4 binary64)) (pow.f64 (*.f64 y #s(literal 2 binary64)) #s(literal -1/4 binary64)))
(.f64 (pow.f64 (.f64 y (*.f64 y #s(literal 2 binary64))) #s(literal -1/4 binary64)) (pow.f64 #s(literal 2 binary64) #s(literal -1/4 binary64)))
(.f64 (pow.f64 y #s(literal -1/16 binary64)) (.f64 (pow.f64 y #s(literal -1/16 binary64)) (*.f64 (pow.f64 y #s(literal -3/8 binary64)) (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)))))
(.f64 (pow.f64 (.f64 y #s(literal 2 binary64)) #s(literal -1/8 binary64)) (pow.f64 (*.f64 y #s(literal 2 binary64)) #s(literal -3/8 binary64)))
(.f64 (.f64 (pow.f64 y #s(literal -1/8 binary64)) (pow.f64 (*.f64 y #s(literal 2 binary64)) #s(literal -3/8 binary64))) (pow.f64 #s(literal 2 binary64) #s(literal -1/8 binary64)))
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(.f64 (sin.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))))
(.f64 #s(literal -1 binary64) (neg.f64 (tan.f64 (/.f64 x (.f64 y #s(literal 2 binary64))))))
(.f64 (neg.f64 (sin.f64 (/.f64 x (.f64 y #s(literal 2 binary64))))) (/.f64 #s(literal -1 binary64) (cos.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))))
(exp.f64 (.f64 (log.f64 (/.f64 (.f64 y #s(literal 2 binary64)) x)) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 x (*.f64 y #s(literal -2 binary64))))
(-.f64 (/.f64 #s(literal 0 binary64) (.f64 y #s(literal -2 binary64))) (/.f64 x (.f64 y #s(literal -2 binary64))))
(neg.f64 (/.f64 x (*.f64 y #s(literal -2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 y #s(literal 2 binary64)) x))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 (*.f64 y #s(literal 2 binary64)) x))))
(/.f64 #s(literal 1 binary64) (/.f64 y (*.f64 x #s(literal 1/2 binary64))))
(/.f64 x (*.f64 y #s(literal 2 binary64)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (*.f64 y #s(literal 2 binary64)) x)))
(/.f64 (neg.f64 x) (*.f64 y #s(literal -2 binary64)))
(/.f64 (/.f64 x y) #s(literal 2 binary64))
(/.f64 (neg.f64 (/.f64 x y)) #s(literal -2 binary64))
(/.f64 (*.f64 x #s(literal 1/2 binary64)) y)
(/.f64 (neg.f64 (neg.f64 (/.f64 x y))) #s(literal 2 binary64))
(/.f64 (neg.f64 (*.f64 x #s(literal 1/2 binary64))) (neg.f64 y))
(pow.f64 (/.f64 (*.f64 y #s(literal 2 binary64)) x) #s(literal -1 binary64))
(.f64 #s(literal 1 binary64) (/.f64 x (.f64 y #s(literal 2 binary64))))
(.f64 (pow.f64 y #s(literal -1/8 binary64)) (.f64 (.f64 (pow.f64 y #s(literal -3/8 binary64)) (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64))) (.f64 x (pow.f64 (*.f64 y #s(literal 2 binary64)) #s(literal -1/2 binary64)))))
(.f64 (.f64 (pow.f64 y #s(literal -3/8 binary64)) (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64))) (.f64 (pow.f64 y #s(literal -1/8 binary64)) (.f64 x (pow.f64 (*.f64 y #s(literal 2 binary64)) #s(literal -1/2 binary64)))))
(*.f64 x (/.f64 #s(literal 1/2 binary64) y))
(.f64 x (pow.f64 (.f64 #s(literal 2 binary64) (.f64 y (.f64 y #s(literal 2 binary64)))) #s(literal -1/2 binary64)))
(.f64 (pow.f64 (.f64 y #s(literal 2 binary64)) #s(literal -1/2 binary64)) (.f64 x (pow.f64 (.f64 y #s(literal 2 binary64)) #s(literal -1/2 binary64))))
(.f64 (.f64 x (pow.f64 (.f64 y #s(literal 2 binary64)) #s(literal -1/2 binary64))) (pow.f64 (.f64 y #s(literal 2 binary64)) #s(literal -1/2 binary64)))
(.f64 (pow.f64 (.f64 y (.f64 y #s(literal 2 binary64))) #s(literal -1/2 binary64)) (.f64 x (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64))))
(.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)) (.f64 x (pow.f64 (.f64 y (.f64 y #s(literal 2 binary64))) #s(literal -1/2 binary64))))
(.f64 (.f64 x (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64))) (pow.f64 (.f64 y (.f64 y #s(literal 2 binary64))) #s(literal -1/2 binary64)))
(.f64 #s(literal -1 binary64) (/.f64 x (.f64 y #s(literal -2 binary64))))
(.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (/.f64 (.f64 y #s(literal 2 binary64)) x))))
(*.f64 (neg.f64 x) (/.f64 #s(literal -1/2 binary64) y))
(*.f64 #s(literal 1/2 binary64) (/.f64 x y))
(*.f64 (/.f64 x y) #s(literal 1/2 binary64))
(*.f64 (/.f64 #s(literal 1 binary64) y) (pow.f64 (/.f64 #s(literal 2 binary64) x) #s(literal -1 binary64)))
(.f64 (pow.f64 (.f64 y (.f64 y #s(literal 2 binary64))) #s(literal -1/4 binary64)) (.f64 (pow.f64 (.f64 y (.f64 y #s(literal 2 binary64))) #s(literal -1/4 binary64)) (*.f64 x (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)))))
(.f64 (pow.f64 y #s(literal -1/16 binary64)) (.f64 (pow.f64 y #s(literal -1/16 binary64)) (.f64 (.f64 (pow.f64 y #s(literal -3/8 binary64)) (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64))) (.f64 x (pow.f64 (.f64 y #s(literal 2 binary64)) #s(literal -1/2 binary64))))))
(.f64 (pow.f64 (.f64 y #s(literal 2 binary64)) #s(literal -1/8 binary64)) (.f64 (pow.f64 (.f64 y #s(literal 2 binary64)) #s(literal -3/8 binary64)) (.f64 x (pow.f64 (.f64 y #s(literal 2 binary64)) #s(literal -1/2 binary64)))))
(.f64 (.f64 x (pow.f64 (.f64 y (.f64 y #s(literal 2 binary64))) #s(literal -1/2 binary64))) (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)))
(.f64 (.f64 (.f64 (pow.f64 y #s(literal -3/8 binary64)) (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64))) (.f64 x (pow.f64 (*.f64 y #s(literal 2 binary64)) #s(literal -1/2 binary64)))) (pow.f64 y #s(literal -1/8 binary64)))
(*.f64 (/.f64 #s(literal 1/2 binary64) y) x)
(*.f64 (/.f64 #s(literal 1/2 binary64) y) (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)))
(*.f64 (neg.f64 (/.f64 x y)) #s(literal -1/2 binary64))
(.f64 (pow.f64 (.f64 (.f64 y (.f64 y #s(literal 2 binary64))) #s(literal 2 binary64)) #s(literal -1/2 binary64)) x)
(.f64 (.f64 (.f64 x (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64))) (pow.f64 (.f64 y #s(literal 2 binary64)) #s(literal -1/2 binary64))) (pow.f64 y #s(literal -1/2 binary64)))
(.f64 (.f64 (.f64 x (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64))) (pow.f64 (.f64 y (.f64 y #s(literal 2 binary64))) #s(literal -1/4 binary64))) (pow.f64 (.f64 y (*.f64 y #s(literal 2 binary64))) #s(literal -1/4 binary64)))
(.f64 (.f64 (.f64 x (pow.f64 (.f64 y (*.f64 y #s(literal 2 binary64))) #s(literal -1/2 binary64))) (pow.f64 #s(literal 2 binary64) #s(literal -1/4 binary64))) (pow.f64 #s(literal 2 binary64) #s(literal -1/4 binary64)))
(.f64 (.f64 (.f64 x (pow.f64 (.f64 y #s(literal 2 binary64)) #s(literal -1/2 binary64))) (pow.f64 y #s(literal -1/8 binary64))) (*.f64 (pow.f64 y #s(literal -3/8 binary64)) (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64))))
(.f64 (.f64 (.f64 x (pow.f64 (.f64 y #s(literal 2 binary64)) #s(literal -1/2 binary64))) (pow.f64 (.f64 y #s(literal 2 binary64)) #s(literal -1/8 binary64))) (pow.f64 (.f64 y #s(literal 2 binary64)) #s(literal -3/8 binary64)))
(.f64 (.f64 (.f64 x (pow.f64 (.f64 y #s(literal 2 binary64)) #s(literal -1/2 binary64))) (pow.f64 y #s(literal -1/2 binary64))) (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)))
(.f64 (.f64 (.f64 x (pow.f64 (.f64 y #s(literal 2 binary64)) #s(literal -1/2 binary64))) (pow.f64 (.f64 y #s(literal 2 binary64)) #s(literal -1/4 binary64))) (pow.f64 (.f64 y #s(literal 2 binary64)) #s(literal -1/4 binary64)))
(.f64 (.f64 x #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) y))
(.f64 (pow.f64 (/.f64 (.f64 y #s(literal 2 binary64)) x) #s(literal -1/2 binary64)) (pow.f64 (/.f64 (*.f64 y #s(literal 2 binary64)) x) #s(literal -1/2 binary64)))
(exp.f64 (.f64 #s(literal -1/2 binary64) (log.f64 (.f64 y (*.f64 y #s(literal 2 binary64))))))
(exp.f64 (.f64 (log.f64 (pow.f64 (.f64 y (*.f64 y #s(literal 2 binary64))) #s(literal -1/4 binary64))) #s(literal 2 binary64)))
(exp.f64 (.f64 (log.f64 (.f64 (.f64 y (.f64 y #s(literal 2 binary64))) (.f64 y (.f64 y #s(literal 2 binary64))))) #s(literal -1/4 binary64)))
(exp.f64 (.f64 (.f64 (log.f64 (.f64 y (.f64 y #s(literal 2 binary64)))) #s(literal -1/4 binary64)) #s(literal 2 binary64)))
(exp.f64 (fma.f64 #s(literal -1/2 binary64) (log.f64 (.f64 y #s(literal 2 binary64))) (.f64 (log.f64 y) #s(literal -1/2 binary64))))
(exp.f64 (fma.f64 (log.f64 y) #s(literal -1/2 binary64) (.f64 #s(literal -1/2 binary64) (log.f64 (.f64 y #s(literal 2 binary64))))))
(exp.f64 (fma.f64 (log.f64 (.f64 y (.f64 y #s(literal 2 binary64)))) #s(literal -1/4 binary64) (.f64 (log.f64 (.f64 y (*.f64 y #s(literal 2 binary64)))) #s(literal -1/4 binary64))))
(pow.f64 (.f64 y (.f64 y #s(literal 2 binary64))) #s(literal -1/2 binary64))
(pow.f64 (pow.f64 (.f64 y (.f64 y #s(literal 2 binary64))) #s(literal -1/4 binary64)) #s(literal 2 binary64))
(pow.f64 (.f64 (.f64 y (.f64 y #s(literal 2 binary64))) (.f64 y (*.f64 y #s(literal 2 binary64)))) #s(literal -1/4 binary64))
(pow.f64 (exp.f64 #s(literal -1/2 binary64)) (log.f64 (.f64 y (.f64 y #s(literal 2 binary64)))))
(.f64 (pow.f64 (.f64 y #s(literal 2 binary64)) #s(literal -1/2 binary64)) (pow.f64 y #s(literal -1/2 binary64)))
(.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)) (pow.f64 (.f64 y y) #s(literal -1/2 binary64)))
(.f64 (pow.f64 y #s(literal -1/2 binary64)) (pow.f64 (.f64 y #s(literal 2 binary64)) #s(literal -1/2 binary64)))
(.f64 (pow.f64 (.f64 y #s(literal 2 binary64)) #s(literal -1/4 binary64)) (.f64 (pow.f64 (.f64 y #s(literal 2 binary64)) #s(literal -1/4 binary64)) (pow.f64 y #s(literal -1/2 binary64))))
(.f64 (pow.f64 (.f64 y (.f64 y #s(literal 2 binary64))) #s(literal -1/4 binary64)) (pow.f64 (.f64 y (*.f64 y #s(literal 2 binary64))) #s(literal -1/4 binary64)))
(.f64 (pow.f64 (.f64 y y) #s(literal -1/2 binary64)) (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)))
(.f64 (pow.f64 (pow.f64 (.f64 y (.f64 y #s(literal 2 binary64))) #s(literal -1/4 binary64)) #s(literal 1 binary64)) (pow.f64 (pow.f64 (.f64 y (*.f64 y #s(literal 2 binary64))) #s(literal -1/4 binary64)) #s(literal 1 binary64)))
(exp.f64 (fma.f64 #s(literal -1/8 binary64) (log.f64 #s(literal 2 binary64)) (.f64 #s(literal -3/8 binary64) (log.f64 (.f64 y #s(literal 2 binary64))))))
(exp.f64 (fma.f64 #s(literal -3/8 binary64) (log.f64 (.f64 y #s(literal 2 binary64))) (.f64 #s(literal -1/8 binary64) (log.f64 #s(literal 2 binary64)))))
(pow.f64 (.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/16 binary64)) (pow.f64 (.f64 y #s(literal 2 binary64)) #s(literal -3/16 binary64))) #s(literal 2 binary64))
(pow.f64 (.f64 (pow.f64 (.f64 y #s(literal 2 binary64)) #s(literal -3/16 binary64)) (pow.f64 #s(literal 2 binary64) #s(literal -1/16 binary64))) #s(literal 2 binary64))
(.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/8 binary64)) (pow.f64 (.f64 y #s(literal 2 binary64)) #s(literal -3/8 binary64)))
(.f64 (pow.f64 (.f64 y #s(literal 2 binary64)) #s(literal -3/8 binary64)) (pow.f64 #s(literal 2 binary64) #s(literal -1/8 binary64)))
(*.f64 (pow.f64 y #s(literal -3/8 binary64)) (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)))
(.f64 (pow.f64 (.f64 y #s(literal 2 binary64)) #s(literal -3/16 binary64)) (.f64 (pow.f64 (.f64 y #s(literal 2 binary64)) #s(literal -3/16 binary64)) (pow.f64 #s(literal 2 binary64) #s(literal -1/8 binary64))))
(.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/16 binary64)) (.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/16 binary64)) (pow.f64 (*.f64 y #s(literal 2 binary64)) #s(literal -3/8 binary64))))
(.f64 (.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/16 binary64)) (pow.f64 (.f64 y #s(literal 2 binary64)) #s(literal -3/16 binary64))) (.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/16 binary64)) (pow.f64 (*.f64 y #s(literal 2 binary64)) #s(literal -3/16 binary64))))
(.f64 (.f64 (pow.f64 (.f64 y #s(literal 2 binary64)) #s(literal -3/16 binary64)) (pow.f64 #s(literal 2 binary64) #s(literal -1/16 binary64))) (.f64 (pow.f64 (*.f64 y #s(literal 2 binary64)) #s(literal -3/16 binary64)) (pow.f64 #s(literal 2 binary64) #s(literal -1/16 binary64))))
(.f64 (.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/8 binary64)) (pow.f64 y #s(literal -3/8 binary64))) (pow.f64 #s(literal 2 binary64) #s(literal -3/8 binary64)))
(.f64 (.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/8 binary64)) (pow.f64 (.f64 y #s(literal 2 binary64)) #s(literal -3/16 binary64))) (pow.f64 (.f64 y #s(literal 2 binary64)) #s(literal -3/16 binary64)))
(.f64 (.f64 (pow.f64 (*.f64 y #s(literal 2 binary64)) #s(literal -3/8 binary64)) (pow.f64 #s(literal 2 binary64) #s(literal -1/16 binary64))) (pow.f64 #s(literal 2 binary64) #s(literal -1/16 binary64)))
#s(approx (cos (/ x (* y 2))) #s(literal 1 binary64))
(-.f64 #s(literal 0 binary64) (neg.f64 (sin.f64 (/.f64 (neg.f64 (.f64 x x)) (.f64 x (*.f64 y #s(literal -2 binary64)))))))
(sin.f64 (/.f64 (neg.f64 (.f64 x x)) (.f64 x (*.f64 y #s(literal -2 binary64)))))
(neg.f64 (neg.f64 (sin.f64 (/.f64 (neg.f64 (.f64 x x)) (.f64 x (*.f64 y #s(literal -2 binary64)))))))
(neg.f64 (sin.f64 (/.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (.f64 (.f64 x (.f64 x (.f64 x (.f64 x x)))) (*.f64 y #s(literal -2 binary64))))))
(neg.f64 (sin.f64 (/.f64 #s(literal 1 binary64) (neg.f64 (.f64 (.f64 x (.f64 y #s(literal -2 binary64))) (/.f64 #s(literal -1 binary64) (.f64 x x)))))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 (/.f64 (neg.f64 (.f64 x x)) (.f64 x (*.f64 y #s(literal -2 binary64)))))))
(/.f64 (sin.f64 (/.f64 (neg.f64 (.f64 x x)) (.f64 x (*.f64 y #s(literal -2 binary64))))) #s(literal 1 binary64))
(/.f64 (neg.f64 (sin.f64 (/.f64 (neg.f64 (.f64 x x)) (.f64 x (*.f64 y #s(literal -2 binary64)))))) #s(literal -1 binary64))
(.f64 (sin.f64 (/.f64 (neg.f64 (.f64 x x)) (.f64 x (.f64 y #s(literal -2 binary64))))) #s(literal 1 binary64))
(.f64 #s(literal -1 binary64) (neg.f64 (sin.f64 (/.f64 (neg.f64 (.f64 x x)) (.f64 x (.f64 y #s(literal -2 binary64)))))))
(-.f64 #s(literal 0 binary64) (neg.f64 (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))))
(sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))
(neg.f64 (neg.f64 (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))))
(neg.f64 (sin.f64 (/.f64 x (*.f64 y #s(literal -2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))))
(/.f64 (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) #s(literal 1 binary64))
(/.f64 (neg.f64 (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) #s(literal -1 binary64))
(.f64 (sin.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) #s(literal 1 binary64))
(.f64 #s(literal -1 binary64) (neg.f64 (sin.f64 (/.f64 x (.f64 y #s(literal 2 binary64))))))

eval220.0ms (1.5%)

Memory: 30.6MiB live, 327.4MiB allocated
Compiler: Compiled 30 111 to 2 604 computations (91.4% saved)

prune400.0ms (2.7%)

Memory

-2.7MiB live, 773.4MiB allocated

Pruning

126 alts after pruning (118 fresh and 8 done)

	Pruned	Kept	Total
New	1 240	26	1 266
Fresh	22	92	114
Picked	3	2	5
Done	1	6	7
Total	1 266	126	1 392

Accuracy

63.0%

Counts

1 392 → 126

Alt Table

Click to see full alt table

Status	Accuracy	Program
	52.6%	(pow.f64 (fma.f64 (cos.f64 (/.f64 x y)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) #s(literal -1/2 binary64))
	52.0%	(pow.f64 (pow.f64 (.f64 (cos.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) #s(approx (cos (/ x (* y 2))) #s(literal 1 binary64))) #s(literal 2 binary64)) #s(literal -1/4 binary64))
	49.8%	(pow.f64 (pow.f64 (.f64 (cos.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) #s(approx (cos (/ x (* y 2))) #s(literal 1 binary64))) #s(literal -1/4 binary64)) #s(literal 2 binary64))
	50.5%	(pow.f64 (pow.f64 (cos.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) #s(literal -1/2 binary64)) #s(literal 2 binary64))
	4.8%	(pow.f64 (/.f64 (+.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (/.f64 (+.f64 x x) y)))) #s(literal -1 binary64)) (.f64 #s(literal 2 binary64) (+.f64 (cos.f64 (/.f64 x y)) #s(literal -1 binary64)))) #s(literal -1/2 binary64))
	50.3%	(pow.f64 (/.f64 (+.f64 (cos.f64 (fma.f64 x (/.f64 #s(literal -1/2 binary64) y) (/.f64 x (.f64 y #s(literal 2 binary64))))) (cos.f64 (-.f64 (/.f64 x (.f64 y #s(literal -2 binary64))) (/.f64 x (*.f64 y #s(literal 2 binary64)))))) #s(literal 2 binary64)) #s(literal -1/2 binary64))
	52.6%	(pow.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x y))))) #s(literal -1/2 binary64))
	50.7%	(pow.f64 (.f64 (cos.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) (cos.f64 (/.f64 x (exp.f64 (log.f64 (*.f64 y #s(literal 2 binary64))))))) #s(literal -1/2 binary64))
	52.1%	(pow.f64 (.f64 (cos.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) (cos.f64 (/.f64 #s(literal 1 binary64) (/.f64 y (*.f64 x #s(literal 1/2 binary64)))))) #s(literal -1/2 binary64))
	45.5%	(pow.f64 (.f64 (cos.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) (cos.f64 (.f64 (pow.f64 (.f64 (.f64 y #s(literal 2 binary64)) y) #s(literal -1/2 binary64)) (.f64 x (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)))))) #s(literal -1/2 binary64))
	52.2%	(pow.f64 (.f64 (cos.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) (cos.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x))) #s(literal -1/2 binary64))
	43.6%	(pow.f64 (.f64 (cos.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) (cos.f64 (.f64 (neg.f64 x) (.f64 x (/.f64 #s(literal -1/2 binary64) (*.f64 x y)))))) #s(literal -1/2 binary64))
✓	49.8%	(pow.f64 (.f64 (cos.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) #s(approx (cos (/ x (* y 2))) #s(literal 1 binary64))) #s(literal -1/2 binary64))
	50.2%	(pow.f64 (.f64 (cos.f64 (.f64 (pow.f64 (/.f64 (.f64 y #s(literal 2 binary64)) x) #s(literal -1/2 binary64)) (pow.f64 (/.f64 (.f64 y #s(literal 2 binary64)) x) #s(literal -1/2 binary64)))) #s(approx (cos (/ x (* y 2))) #s(literal 1 binary64))) #s(literal -1/2 binary64))
	45.2%	(pow.f64 (.f64 (cos.f64 (.f64 (pow.f64 (.f64 y (.f64 y #s(literal 2 binary64))) #s(literal -1/2 binary64)) (.f64 x (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64))))) #s(approx (cos (/ x ( y 2))) #s(literal 1 binary64))) #s(literal -1/2 binary64))
	50.2%	(pow.f64 (.f64 (cos.f64 (.f64 (pow.f64 (.f64 y #s(literal 2 binary64)) #s(literal -1/2 binary64)) (.f64 x (pow.f64 (.f64 y #s(literal 2 binary64)) #s(literal -1/2 binary64))))) #s(approx (cos (/ x ( y 2))) #s(literal 1 binary64))) #s(literal -1/2 binary64))
	50.0%	(pow.f64 (.f64 (cos.f64 (exp.f64 (.f64 (log.f64 (/.f64 (.f64 y #s(literal 2 binary64)) x)) #s(literal -1 binary64)))) #s(approx (cos (/ x ( y 2))) #s(literal 1 binary64))) #s(literal -1/2 binary64))
	6.5%	(/.f64 (/.f64 (.f64 (neg.f64 (pow.f64 (sin.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) #s(literal 3 binary64))) (/.f64 #s(literal -1 binary64) (cos.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))))) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (/.f64 x y))))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
	19.5%	(/.f64 (/.f64 (sin.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) (cos.f64 (/.f64 x (.f64 y #s(literal 2 binary64))))) (sin.f64 (/.f64 (.f64 (/.f64 #s(literal -1/2 binary64) y) (neg.f64 (.f64 x x))) x)))
	40.5%	(/.f64 (/.f64 (sin.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) (cos.f64 (/.f64 x (.f64 y #s(literal 2 binary64))))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
	39.7%	(/.f64 (/.f64 #s(literal 1 binary64) (sin.f64 (/.f64 x (.f64 y #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) (tan.f64 (/.f64 x (.f64 y #s(literal 2 binary64))))))
	8.9%	(/.f64 (tan.f64 (/.f64 (.f64 (neg.f64 (.f64 x (.f64 x (.f64 x x)))) (/.f64 #s(literal -1/2 binary64) (.f64 x y))) (.f64 x x))) (sin.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)))
	12.0%	(/.f64 (tan.f64 (/.f64 (.f64 (neg.f64 x) (.f64 (/.f64 (.f64 x (.f64 x x)) x) (/.f64 #s(literal -1/2 binary64) y))) (.f64 x x))) (sin.f64 (/.f64 (.f64 (/.f64 #s(literal -1/2 binary64) y) (neg.f64 (*.f64 x x))) x)))
	19.4%	(/.f64 (tan.f64 (/.f64 (.f64 x x) (.f64 y (+.f64 x x)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
	39.6%	(/.f64 (tan.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))))))
	19.4%	(/.f64 (tan.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 (/.f64 (.f64 (*.f64 x x) #s(literal 1/2 binary64)) y) x)))
	40.2%	(/.f64 (tan.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) x))) y)))
	27.7%	(/.f64 (tan.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 (-.f64 (.f64 #s(literal 0 binary64) (/.f64 (.f64 y #s(literal -2 binary64)) x)) (.f64 y #s(literal -2 binary64))) (.f64 (.f64 y #s(literal -2 binary64)) (/.f64 (*.f64 y #s(literal -2 binary64)) x)))))
	6.1%	(/.f64 (tan.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 (.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (/.f64 #s(literal 1/2 binary64) y)) (.f64 (.f64 x (.f64 x (*.f64 x x))) x))))
	28.1%	(/.f64 (tan.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 (.f64 (.f64 x (pow.f64 (.f64 y #s(literal 2 binary64)) #s(literal -1/2 binary64))) (.f64 x (pow.f64 (.f64 y #s(literal 2 binary64)) #s(literal -1/2 binary64)))) x)))
	19.3%	(/.f64 (tan.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 (.f64 x x) (*.f64 y (+.f64 x x)))))
	15.5%	(/.f64 (tan.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (/.f64 (neg.f64 (.f64 (.f64 y #s(literal 2 binary64)) (.f64 #s(literal 4 binary64) (.f64 y y)))) (neg.f64 (.f64 #s(literal 4 binary64) (*.f64 y y)))))))
✓	40.5%	(/.f64 (tan.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))))
	37.8%	(/.f64 (tan.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (exp.f64 (neg.f64 (.f64 #s(literal -1 binary64) (log.f64 (*.f64 y #s(literal 2 binary64)))))))))
	19.3%	(/.f64 (tan.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 #s(literal -1 binary64) (.f64 (/.f64 y (.f64 (.f64 x x) #s(literal 1/2 binary64))) (neg.f64 x)))))
	18.2%	(/.f64 (tan.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) (sin.f64 (.f64 (pow.f64 (.f64 (.f64 x (.f64 y #s(literal -2 binary64))) (/.f64 #s(literal -1 binary64) (.f64 x x))) #s(literal -1/2 binary64)) (pow.f64 (.f64 (.f64 x (.f64 y #s(literal -2 binary64))) (/.f64 #s(literal -1 binary64) (.f64 x x))) #s(literal -1/2 binary64)))))
	38.6%	(/.f64 (tan.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) (sin.f64 (.f64 (pow.f64 (.f64 y #s(literal 2 binary64)) #s(literal -3/4 binary64)) (.f64 x (pow.f64 (*.f64 (exp.f64 (log.f64 y)) (exp.f64 (log.f64 #s(literal 2 binary64)))) #s(literal -1/4 binary64))))))
✓	40.0%	(/.f64 (tan.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) (sin.f64 (.f64 (pow.f64 (.f64 y #s(literal 2 binary64)) #s(literal -3/4 binary64)) (.f64 x (pow.f64 (*.f64 y #s(literal 2 binary64)) #s(literal -1/4 binary64))))))
	40.2%	(/.f64 (tan.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) (sin.f64 (.f64 (pow.f64 y #s(literal -1/4 binary64)) (.f64 (pow.f64 y #s(literal -1/4 binary64)) (.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 y #s(literal -1/2 binary64))) x)))))
	39.9%	(/.f64 (tan.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) (sin.f64 (.f64 (pow.f64 y #s(literal -1/2 binary64)) (.f64 (.f64 #s(literal 1/2 binary64) (pow.f64 y #s(literal -1/2 binary64))) x))))
	39.9%	(/.f64 (tan.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) (sin.f64 (.f64 (/.f64 #s(literal 1/2 binary64) y) x)))
	19.3%	(/.f64 (tan.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) (sin.f64 (.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 (*.f64 x x) y))))
	40.1%	(/.f64 (tan.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) (sin.f64 (.f64 (.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 x (.f64 y #s(literal 2 binary64)))) x)))
	19.4%	(/.f64 (tan.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) (sin.f64 (.f64 (.f64 x x) (/.f64 #s(literal 1/2 binary64) (.f64 y x)))))
	36.3%	(/.f64 (tan.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) (sin.f64 (exp.f64 (.f64 (log.f64 (/.f64 y (*.f64 #s(literal 1/2 binary64) x))) #s(literal -1 binary64)))))
	37.0%	(/.f64 (tan.f64 (/.f64 x (exp.f64 (neg.f64 (.f64 #s(literal -1 binary64) (log.f64 (.f64 y #s(literal 2 binary64)))))))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
	18.2%	(/.f64 (tan.f64 (/.f64 x (exp.f64 (log.f64 (.f64 y #s(literal 2 binary64)))))) (sin.f64 (/.f64 (.f64 (/.f64 #s(literal -1/2 binary64) y) (neg.f64 (*.f64 x x))) x)))
	35.9%	(/.f64 (tan.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 y x))) (sin.f64 (/.f64 x (*.f64 (exp.f64 (log.f64 y)) (exp.f64 (log.f64 #s(literal 2 binary64)))))))
✓	39.5%	(/.f64 (tan.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 y x))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
	36.9%	(/.f64 (tan.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 y x))) (sin.f64 (/.f64 x (exp.f64 (log.f64 (*.f64 y #s(literal 2 binary64)))))))
	36.2%	(/.f64 (tan.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 y x))) (sin.f64 (exp.f64 (.f64 (log.f64 (/.f64 y (.f64 #s(literal 1/2 binary64) x))) #s(literal -1 binary64)))))
	39.4%	(/.f64 (tan.f64 (/.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 (/.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) x)))) (sin.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))))
	36.8%	(/.f64 (tan.f64 (/.f64 #s(literal 1/2 binary64) (exp.f64 (.f64 (log.f64 (/.f64 x y)) #s(literal -1 binary64))))) (sin.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))))
	22.7%	(/.f64 (tan.f64 (.f64 (pow.f64 (.f64 (.f64 y #s(literal 2 binary64)) y) #s(literal -1/2 binary64)) (.f64 x (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64))))) (sin.f64 (.f64 (pow.f64 (.f64 y #s(literal 2 binary64)) #s(literal -1/2 binary64)) (.f64 x (pow.f64 (.f64 y #s(literal 2 binary64)) #s(literal -1/2 binary64))))))
	22.6%	(/.f64 (tan.f64 (.f64 (pow.f64 (.f64 (.f64 y #s(literal 2 binary64)) y) #s(literal -1/2 binary64)) (.f64 x (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64))))) (sin.f64 (.f64 (.f64 (pow.f64 y #s(literal -3/8 binary64)) (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64))) (.f64 (pow.f64 y #s(literal -1/8 binary64)) (.f64 x (pow.f64 (*.f64 y #s(literal 2 binary64)) #s(literal -1/2 binary64)))))))
	22.1%	(/.f64 (tan.f64 (.f64 (pow.f64 (.f64 (.f64 y #s(literal 2 binary64)) y) #s(literal -1/2 binary64)) (.f64 x (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64))))) (sin.f64 (.f64 (.f64 (.f64 x (pow.f64 (.f64 y #s(literal 2 binary64)) #s(literal -1/2 binary64))) (pow.f64 y #s(literal -1/2 binary64))) (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)))))
	37.6%	(/.f64 (tan.f64 (.f64 (pow.f64 (.f64 (exp.f64 (log.f64 y)) (exp.f64 (log.f64 #s(literal 2 binary64)))) #s(literal -1/2 binary64)) (.f64 (pow.f64 (.f64 y #s(literal 2 binary64)) #s(literal -1/2 binary64)) x))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
	39.8%	(/.f64 (tan.f64 (.f64 (pow.f64 (.f64 y #s(literal 2 binary64)) #s(literal -1/2 binary64)) (/.f64 (pow.f64 (.f64 y #s(literal 2 binary64)) #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) x)))) (sin.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))))
	38.0%	(/.f64 (tan.f64 (.f64 (pow.f64 (.f64 y #s(literal 2 binary64)) #s(literal -1/2 binary64)) (.f64 (exp.f64 (.f64 #s(literal -1/2 binary64) (log.f64 (.f64 y #s(literal 2 binary64))))) x))) (sin.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))))
	21.3%	(/.f64 (tan.f64 (.f64 (pow.f64 (exp.f64 #s(literal -1/2 binary64)) (log.f64 (.f64 y (.f64 y #s(literal 2 binary64))))) (.f64 x (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64))))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
	22.3%	(/.f64 (tan.f64 (.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 (.f64 x x) x))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
	40.0%	(/.f64 (tan.f64 (.f64 (/.f64 #s(literal 1/2 binary64) y) x)) (sin.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))))
	13.8%	(/.f64 (tan.f64 (.f64 (/.f64 #s(literal -1/2 binary64) (.f64 x (.f64 y x))) (neg.f64 (.f64 x (.f64 x x))))) (sin.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))))
	39.9%	(/.f64 (tan.f64 (.f64 (.f64 (pow.f64 (.f64 y #s(literal 2 binary64)) #s(literal -1/2 binary64)) (.f64 x (pow.f64 y #s(literal -1/2 binary64)))) (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
	18.3%	(/.f64 (tan.f64 (.f64 (.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) x) (/.f64 (.f64 x x) (.f64 y #s(literal 2 binary64))))) (sin.f64 (/.f64 (.f64 (/.f64 #s(literal -1/2 binary64) y) (neg.f64 (*.f64 x x))) x)))
	21.3%	(/.f64 (tan.f64 (.f64 (exp.f64 (.f64 #s(literal -1/2 binary64) (log.f64 (.f64 y (.f64 y #s(literal 2 binary64)))))) (.f64 x (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64))))) (sin.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))))
	40.0%	(/.f64 (tan.f64 (.f64 #s(approx (pow ( (* y 2) y) -1/2) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) y)) (.f64 x (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64))))) (sin.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))))
	4.4%	(/.f64 (tan.f64 (.f64 #s(approx (pow ( (* y 2) y) -1/2) (neg.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) y))) (.f64 x (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64))))) (sin.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))))
	36.2%	(/.f64 (tan.f64 (exp.f64 (.f64 (log.f64 (/.f64 (.f64 y #s(literal 2 binary64)) x)) #s(literal -1 binary64)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
	5.0%	(/.f64 (tan.f64 #s(approx (* (pow (* (* y 2) y) -1/2) (* x (pow 2 -1/2))) (/.f64 (.f64 x #s(literal -1/2 binary64)) y))) (sin.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))))
	40.2%	(/.f64 (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (/.f64 (sin.f64 (/.f64 x y)) #s(literal 2 binary64)))
	52.6%	(/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (/.f64 x y)) #s(literal 1/2 binary64)) #s(literal 1/2 binary64)))
	40.2%	(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (sin.f64 (/.f64 x y)) #s(literal 2 binary64)) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))))
	39.7%	(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (tan.f64 (/.f64 x (.f64 y #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) (sin.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))))))
	40.5%	(/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) (tan.f64 (/.f64 x (.f64 y #s(literal 2 binary64))))))
	48.7%	(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 (/.f64 (.f64 x x) (.f64 y #s(literal 2 binary64))) x)))
	20.6%	(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (.f64 #s(literal 1 binary64) (/.f64 y (.f64 x (.f64 (*.f64 x x) #s(literal 1/2 binary64))))))))
	53.7%	(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 2 binary64) x))))
	52.9%	(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 (.f64 x (/.f64 x (.f64 y #s(literal 2 binary64)))) x)))
	41.6%	(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 (.f64 x x) (.f64 y (+.f64 x x)))))
	54.0%	(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x (*.f64 (exp.f64 (log.f64 y)) (exp.f64 (log.f64 #s(literal 2 binary64)))))))
✓	53.8%	(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
	53.8%	(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x (exp.f64 (log.f64 (*.f64 y #s(literal 2 binary64)))))))
	41.8%	(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 #s(literal 1 binary64) (/.f64 (.f64 y x) (.f64 (*.f64 x x) #s(literal 1/2 binary64))))))
	53.7%	(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 y x))))
	54.0%	(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 #s(literal -1 binary64) x) y))))
	49.4%	(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 #s(literal -1 binary64) (.f64 (/.f64 y (.f64 (*.f64 x x) #s(literal 1/2 binary64))) (neg.f64 x)))))
	54.0%	(/.f64 #s(literal 1 binary64) (cos.f64 (.f64 (pow.f64 (pow.f64 (.f64 y #s(literal 2 binary64)) #s(literal -1/8 binary64)) #s(literal 4 binary64)) (.f64 x (pow.f64 (.f64 y #s(literal 2 binary64)) #s(literal -1/2 binary64))))))
	53.9%	(/.f64 #s(literal 1 binary64) (cos.f64 (.f64 (pow.f64 (/.f64 (.f64 y #s(literal 2 binary64)) x) #s(literal -1/2 binary64)) (pow.f64 (/.f64 (*.f64 y #s(literal 2 binary64)) x) #s(literal -1/2 binary64)))))
	53.5%	(/.f64 #s(literal 1 binary64) (cos.f64 (.f64 (pow.f64 (.f64 (exp.f64 (log.f64 y)) (exp.f64 (log.f64 #s(literal 2 binary64)))) #s(literal -1/2 binary64)) (.f64 x (pow.f64 (.f64 y #s(literal 2 binary64)) #s(literal -1/2 binary64))))))
	54.1%	(/.f64 #s(literal 1 binary64) (cos.f64 (.f64 (pow.f64 (.f64 y #s(literal 2 binary64)) #s(literal -1/2 binary64)) (.f64 x (pow.f64 (pow.f64 (.f64 y #s(literal 2 binary64)) #s(literal -1/8 binary64)) #s(literal 4 binary64))))))
	53.8%	(/.f64 #s(literal 1 binary64) (cos.f64 (.f64 (pow.f64 (.f64 y #s(literal 2 binary64)) #s(literal -1/2 binary64)) (.f64 x (pow.f64 (.f64 (exp.f64 (log.f64 y)) (exp.f64 (log.f64 #s(literal 2 binary64)))) #s(literal -1/2 binary64))))))
✓	54.4%	(/.f64 #s(literal 1 binary64) (cos.f64 (.f64 (pow.f64 (.f64 y #s(literal 2 binary64)) #s(literal -1/2 binary64)) (.f64 x (pow.f64 (.f64 y #s(literal 2 binary64)) #s(literal -1/2 binary64))))))
	53.8%	(/.f64 #s(literal 1 binary64) (cos.f64 (.f64 (pow.f64 (.f64 y #s(literal 2 binary64)) #s(literal -1/2 binary64)) (.f64 x (pow.f64 (exp.f64 (log.f64 (.f64 y #s(literal 2 binary64)))) #s(literal -1/2 binary64))))))
	53.7%	(/.f64 #s(literal 1 binary64) (cos.f64 (.f64 (pow.f64 (.f64 y #s(literal 2 binary64)) #s(literal -1/2 binary64)) (.f64 x (pow.f64 (exp.f64 #s(literal -1/2 binary64)) (log.f64 (.f64 y #s(literal 2 binary64))))))))
	53.6%	(/.f64 #s(literal 1 binary64) (cos.f64 (.f64 (pow.f64 (.f64 y #s(literal 2 binary64)) #s(literal -1/2 binary64)) (.f64 x (exp.f64 (.f64 #s(literal -1/2 binary64) (log.f64 (*.f64 y #s(literal 2 binary64)))))))))
	54.1%	(/.f64 #s(literal 1 binary64) (cos.f64 (.f64 (pow.f64 (.f64 y #s(literal 2 binary64)) #s(literal -1/2 binary64)) (.f64 x #s(approx (pow ( y 2) -1/2) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) y))))))))
	53.5%	(/.f64 #s(literal 1 binary64) (cos.f64 (.f64 (pow.f64 (exp.f64 #s(literal -1/2 binary64)) (log.f64 (.f64 y #s(literal 2 binary64)))) (.f64 x (pow.f64 (.f64 y #s(literal 2 binary64)) #s(literal -1/2 binary64))))))
	53.4%	(/.f64 #s(literal 1 binary64) (cos.f64 (.f64 (/.f64 x (.f64 y #s(literal -2 binary64))) (*.f64 x (/.f64 #s(literal -1 binary64) x)))))
	22.7%	(/.f64 #s(literal 1 binary64) (cos.f64 (.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (.f64 x (/.f64 (.f64 x x) (*.f64 y #s(literal 2 binary64)))))))
	52.8%	(/.f64 #s(literal 1 binary64) (cos.f64 (.f64 (/.f64 #s(literal 1 binary64) x) (.f64 x (/.f64 x (*.f64 y #s(literal 2 binary64)))))))
	49.1%	(/.f64 #s(literal 1 binary64) (cos.f64 (.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 (.f64 x x) x))))
	53.5%	(/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)))
	27.7%	(/.f64 #s(literal 1 binary64) (cos.f64 (.f64 (/.f64 #s(literal -1/2 binary64) (.f64 x (.f64 y x))) (neg.f64 (.f64 x (*.f64 x x))))))
	54.5%	(/.f64 #s(literal 1 binary64) (cos.f64 (.f64 (.f64 (pow.f64 y #s(literal -1/8 binary64)) (pow.f64 (.f64 (pow.f64 (.f64 y #s(literal 2 binary64)) #s(literal -3/16 binary64)) (pow.f64 #s(literal 2 binary64) #s(literal -1/16 binary64))) #s(literal 2 binary64))) (.f64 x (pow.f64 (.f64 y #s(literal 2 binary64)) #s(literal -1/2 binary64))))))
✓	54.6%	(/.f64 #s(literal 1 binary64) (cos.f64 (.f64 (.f64 (pow.f64 y #s(literal -1/8 binary64)) (.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/8 binary64)) (pow.f64 (.f64 y #s(literal 2 binary64)) #s(literal -3/8 binary64)))) (.f64 x (pow.f64 (.f64 y #s(literal 2 binary64)) #s(literal -1/2 binary64))))))
	54.1%	(/.f64 #s(literal 1 binary64) (cos.f64 (.f64 (.f64 (pow.f64 y #s(literal -1/8 binary64)) #s(approx (* (pow 2 -1/8) (pow (* y 2) -3/8)) (exp.f64 (fma.f64 #s(literal 1/8 binary64) (log.f64 #s(literal 1/16 binary64)) (.f64 #s(literal -3/8 binary64) (log.f64 y)))))) (.f64 x (pow.f64 (*.f64 y #s(literal 2 binary64)) #s(literal -1/2 binary64))))))
	23.0%	(/.f64 #s(literal 1 binary64) (cos.f64 (.f64 (.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) x) (/.f64 (.f64 x x) (*.f64 y #s(literal 2 binary64))))))
	27.8%	(/.f64 #s(literal 1 binary64) (cos.f64 (.f64 (.f64 (/.f64 #s(literal -1/2 binary64) (.f64 x (.f64 y x))) (neg.f64 x)) (/.f64 (.f64 x (.f64 x x)) x))))
	54.3%	(/.f64 #s(literal 1 binary64) (cos.f64 (.f64 (.f64 (.f64 (pow.f64 (.f64 y #s(literal 2 binary64)) #s(literal -1/8 binary64)) (pow.f64 y #s(literal -3/8 binary64))) (pow.f64 #s(literal 2 binary64) #s(literal -3/8 binary64))) (.f64 x (pow.f64 (.f64 y #s(literal 2 binary64)) #s(literal -1/2 binary64))))))
	41.5%	(/.f64 #s(literal 1 binary64) (cos.f64 (.f64 (.f64 x x) (/.f64 #s(literal 1/2 binary64) (*.f64 y x)))))
	44.7%	(/.f64 #s(literal 1 binary64) (cos.f64 (.f64 (.f64 #s(literal 1/2 binary64) x) (/.f64 x (*.f64 x y)))))
	53.5%	(/.f64 #s(literal 1 binary64) (cos.f64 (.f64 (exp.f64 (fma.f64 (log.f64 y) #s(literal -1/2 binary64) (.f64 #s(literal -1/2 binary64) (log.f64 #s(literal 2 binary64))))) (.f64 x (pow.f64 (.f64 y #s(literal 2 binary64)) #s(literal -1/2 binary64))))))
	53.4%	(/.f64 #s(literal 1 binary64) (cos.f64 (.f64 (exp.f64 (fma.f64 #s(literal -1/8 binary64) (log.f64 y) (fma.f64 #s(literal -1/8 binary64) (log.f64 #s(literal 2 binary64)) (.f64 #s(literal -3/8 binary64) (log.f64 (.f64 y #s(literal 2 binary64))))))) (.f64 x (pow.f64 (*.f64 y #s(literal 2 binary64)) #s(literal -1/2 binary64))))))
	53.4%	(/.f64 #s(literal 1 binary64) (cos.f64 (.f64 (exp.f64 (.f64 #s(literal -1/2 binary64) (log.f64 (.f64 y #s(literal 2 binary64))))) (.f64 x (pow.f64 (*.f64 y #s(literal 2 binary64)) #s(literal -1/2 binary64))))))
	53.9%	(/.f64 #s(literal 1 binary64) (cos.f64 (exp.f64 (.f64 (log.f64 (/.f64 (.f64 y #s(literal 2 binary64)) x)) #s(literal -1 binary64)))))
	53.5%	(/.f64 #s(literal 1 binary64) (cos.f64 #s(approx (* (* (pow y -1/8) (* (pow 2 -1/8) (pow (* y 2) -3/8))) (* x (pow (* y 2) -1/2))) (.f64 (pow.f64 #s(literal 1/16 binary64) #s(literal 1/8 binary64)) (/.f64 (.f64 x (sqrt.f64 #s(literal 1/2 binary64))) y)))))
	49.8%	(/.f64 #s(literal 1 binary64) #s(approx (cos (/ x (* y 2))) (fma.f64 (/.f64 x y) (/.f64 (*.f64 x #s(literal -1/8 binary64)) y) #s(literal 1 binary64))))
	51.8%	(*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x y))) #s(literal -1/2 binary64)) (pow.f64 #s(literal 1/2 binary64) #s(literal -1/2 binary64)))
	6.5%	(.f64 (/.f64 (tan.f64 (/.f64 x (.f64 y #s(literal -2 binary64)))) (neg.f64 (pow.f64 (sin.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) #s(literal 3 binary64)))) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (/.f64 x y)))))
	7.1%	(.f64 (/.f64 (tan.f64 (/.f64 x (.f64 y #s(literal -2 binary64)))) (neg.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (/.f64 x y)))))) (sin.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))))
	39.7%	(.f64 (/.f64 #s(literal 1 binary64) (sin.f64 (/.f64 x (.f64 y #s(literal 2 binary64))))) (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
	39.7%	(.f64 (sin.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) (/.f64 (/.f64 #s(literal 1 binary64) (sin.f64 (/.f64 x (.f64 y #s(literal 2 binary64))))) (cos.f64 (/.f64 x (.f64 y #s(literal 2 binary64))))))
	50.5%	(exp.f64 (.f64 (log.f64 (cos.f64 (/.f64 x (.f64 y #s(literal 2 binary64))))) #s(literal -1 binary64)))
✓	53.9%	#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(literal 1 binary64))
	7.2%	#s(approx (/ (tan (* (pow (* (* y 2) y) -1/2) (* x (pow 2 -1/2)))) (sin (/ x (* y 2)))) #s(literal -1 binary64))

Compiler

Compiled 6 741 to 2 537 computations (62.4% saved)

regimes486.0ms (3.3%)

Memory

-22.3MiB live, 577.1MiB allocated

Counts

222 → 2

Calls

Call 1

Inputs
#s(approx (/ (tan (* (pow (* (* y 2) y) -1/2) (* x (pow 2 -1/2)))) (sin (/ x (* y 2)))) #s(literal -1 binary64))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) #s(approx (cos (/ x (* y 2))) #s(approx (+ (* (/ (* x x) (* y y)) -1/8) 1) (/.f64 (.f64 (.f64 x x) #s(literal -1/8 binary64)) (*.f64 y y)))))
(/.f64 #s(literal 1 binary64) #s(approx (cos (/ x (* y 2))) (fma.f64 x (.f64 x (/.f64 #s(literal -1/8 binary64) (.f64 y y))) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) #s(approx (cos (/ x (* y 2))) (fma.f64 (/.f64 (.f64 x x) (.f64 y y)) #s(literal -1/8 binary64) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) #s(approx (cos (/ x (* y 2))) #s(approx (+ (* (/ (* x x) (* y y)) -1/8) 1) (/.f64 (fma.f64 x (.f64 x #s(literal -1/8 binary64)) (.f64 y y)) (*.f64 y y)))))
(/.f64 #s(literal 1 binary64) #s(approx (cos (/ x (* y 2))) (fma.f64 (/.f64 x y) (/.f64 (*.f64 x #s(literal -1/8 binary64)) y) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) #s(approx (cos (/ x (* y 2))) (fma.f64 (/.f64 (*.f64 x x) y) (/.f64 #s(literal -1/8 binary64) y) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) #s(approx (cos (/ x (* y 2))) (fma.f64 (.f64 x x) (.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal -1/8 binary64) y)) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) #s(approx (cos (/ x (* y 2))) (fma.f64 (/.f64 #s(literal 1 binary64) y) (.f64 x (.f64 (/.f64 x y) #s(literal -1/8 binary64))) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) #s(approx (cos (/ x (* y 2))) (fma.f64 (/.f64 (/.f64 (neg.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))))) (neg.f64 (fma.f64 (.f64 x x) (.f64 x x) #s(literal 0 binary64)))) (.f64 y y)) #s(literal -1/8 binary64) #s(literal 1 binary64))))
#s(approx (/ (tan (/ x (* y 2))) (sin (* (pow (* y 2) -3/4) (* x (pow (* y 2) -1/4))))) (*.f64 #s(literal -1/2 binary64) (pow.f64 #s(literal 16 binary64) #s(literal 1/4 binary64))))
(/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)))
(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 y x))))
(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 (.f64 x x) (.f64 y (+.f64 x x)))))
(/.f64 #s(literal 1 binary64) (cos.f64 (.f64 (.f64 #s(literal 1/2 binary64) x) (/.f64 x (*.f64 x y)))))
(/.f64 #s(literal 1 binary64) (cos.f64 (.f64 (.f64 x x) (/.f64 #s(literal 1/2 binary64) (*.f64 y x)))))
(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 #s(literal -1 binary64) x) y))))
(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 #s(literal 1 binary64) (/.f64 y (*.f64 x #s(literal 1/2 binary64))))))
(/.f64 #s(literal 1 binary64) (cos.f64 (.f64 (neg.f64 x) (.f64 x (/.f64 #s(literal -1/2 binary64) (*.f64 x y))))))
(/.f64 #s(literal 1 binary64) (cos.f64 (.f64 (/.f64 #s(literal -1/2 binary64) (.f64 x y)) (*.f64 x (neg.f64 x)))))
(/.f64 #s(literal 1 binary64) (cos.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (/.f64 (.f64 x x) y) x))))
(/.f64 #s(literal 1 binary64) (cos.f64 (.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 (.f64 x x) x))))
(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 (.f64 x (/.f64 x (.f64 y #s(literal 2 binary64)))) x)))
(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 (/.f64 (.f64 x x) (.f64 y #s(literal 2 binary64))) x)))
(/.f64 #s(approx (tan (/ x (* y 2))) (/.f64 (.f64 x #s(literal 1/2 binary64)) y)) (sin.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))))
(/.f64 (tan.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) #s(approx (sin (/ x ( y 2))) (/.f64 (*.f64 x #s(literal 1/2 binary64)) y)))
(/.f64 (tan.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) #s(approx (sin (/ ( (/ -1/2 y) (neg (* x x))) x)) (/.f64 (*.f64 x #s(literal 1/2 binary64)) y)))
(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 2 binary64) x))))
(/.f64 #s(literal 1 binary64) (cos.f64 (.f64 (/.f64 #s(literal 1 binary64) x) (.f64 x (/.f64 x (*.f64 y #s(literal 2 binary64)))))))
(/.f64 #s(literal 1 binary64) (cos.f64 (.f64 (/.f64 x (.f64 y #s(literal -2 binary64))) (*.f64 x (/.f64 #s(literal -1 binary64) x)))))
(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 #s(literal 1 binary64) (/.f64 (.f64 y x) (.f64 (*.f64 x x) #s(literal 1/2 binary64))))))
(/.f64 #s(literal 1 binary64) (cos.f64 (.f64 (/.f64 #s(literal -1/2 binary64) (.f64 x (.f64 y x))) (neg.f64 (.f64 x (*.f64 x x))))))
(/.f64 #s(literal 1 binary64) (cos.f64 (.f64 (/.f64 #s(literal 1/2 binary64) y) (.f64 (*.f64 x (neg.f64 x)) (/.f64 #s(literal -1 binary64) x)))))
(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 #s(literal -1 binary64) (.f64 (/.f64 y (.f64 (*.f64 x x) #s(literal 1/2 binary64))) (neg.f64 x)))))
(/.f64 #s(literal 1 binary64) (cos.f64 (.f64 (.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) x) (/.f64 (.f64 x x) (*.f64 y #s(literal 2 binary64))))))
(/.f64 #s(literal 1 binary64) (cos.f64 (.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (.f64 x (/.f64 (.f64 x x) (*.f64 y #s(literal 2 binary64)))))))
(/.f64 #s(literal 1 binary64) (cos.f64 (.f64 (.f64 (/.f64 #s(literal -1/2 binary64) (.f64 x (.f64 y x))) (neg.f64 x)) (/.f64 (.f64 x (.f64 x x)) x))))
(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 (.f64 (neg.f64 (.f64 x (.f64 x (.f64 x x)))) (/.f64 #s(literal -1/2 binary64) (.f64 x y))) (.f64 x x))))
(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (.f64 #s(literal 1 binary64) (/.f64 y (.f64 x (.f64 (*.f64 x x) #s(literal 1/2 binary64))))))))
(/.f64 (tan.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) #s(approx (sin (/ x ( y 2))) (.f64 x (fma.f64 #s(literal -1/48 binary64) (/.f64 (.f64 x x) (.f64 y (.f64 y y))) (/.f64 #s(literal 1/2 binary64) y)))))
(/.f64 (tan.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) #s(approx (sin (/ x ( y 2))) (/.f64 (fma.f64 #s(literal -1/48 binary64) (/.f64 (.f64 x (.f64 x x)) (.f64 y y)) (.f64 x #s(literal 1/2 binary64))) y)))
(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 (.f64 (neg.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))))) (/.f64 #s(literal -1/2 binary64) (.f64 x y))) (.f64 x (.f64 x (.f64 x x))))))
(pow.f64 (fma.f64 (cos.f64 (/.f64 x y)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) #s(literal -1/2 binary64))
(pow.f64 (.f64 (cos.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) #s(approx (cos (/ x (* y 2))) #s(literal 1 binary64))) #s(literal -1/2 binary64))
(/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (/.f64 x y)) #s(literal 1/2 binary64)) #s(literal 1/2 binary64)))
(pow.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x y))))) #s(literal -1/2 binary64))
(/.f64 #s(literal 1 binary64) (cos.f64 #s(approx (* (* (pow y -1/8) (* (pow 2 -1/8) (pow (* y 2) -3/8))) (* x (pow (* y 2) -1/2))) (.f64 (pow.f64 #s(literal 1/16 binary64) #s(literal 1/8 binary64)) (/.f64 (.f64 x (sqrt.f64 #s(literal 1/2 binary64))) y)))))
(/.f64 (tan.f64 #s(approx (* (pow (* (* y 2) y) -1/2) (* x (pow 2 -1/2))) (/.f64 (.f64 x #s(literal -1/2 binary64)) y))) (sin.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))))
(/.f64 (tan.f64 (.f64 (/.f64 #s(literal 1/2 binary64) y) x)) (sin.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))))
(/.f64 (tan.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) (sin.f64 (.f64 (/.f64 #s(literal 1/2 binary64) y) x)))
(/.f64 (tan.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))))
(.f64 (/.f64 #s(literal 1 binary64) (sin.f64 (/.f64 x (.f64 y #s(literal 2 binary64))))) (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
(/.f64 (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (/.f64 (sin.f64 (/.f64 x y)) #s(literal 2 binary64)))
(/.f64 (tan.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 x y))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
(/.f64 (tan.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 y x))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 x y))))
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 y x))))
(/.f64 (tan.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 (.f64 x x) (*.f64 y (+.f64 x x)))))
(/.f64 (tan.f64 (/.f64 (.f64 x x) (.f64 y (+.f64 x x)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
(/.f64 (tan.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) (sin.f64 (.f64 (.f64 x x) (/.f64 #s(literal 1/2 binary64) (.f64 y x)))))
(/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) (tan.f64 (/.f64 x (.f64 y #s(literal 2 binary64))))))
(/.f64 (tan.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 #s(literal -1/2 binary64) (.f64 (/.f64 #s(literal -1 binary64) x) y))))
(/.f64 (tan.f64 (.f64 (neg.f64 x) (.f64 x (/.f64 #s(literal -1/2 binary64) (.f64 x y))))) (sin.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))))
(/.f64 (tan.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) (sin.f64 (.f64 (/.f64 #s(literal -1/2 binary64) (.f64 x y)) (.f64 x (neg.f64 x)))))
(/.f64 (tan.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 (.f64 (neg.f64 (.f64 x x)) #s(literal -1/2 binary64)) (.f64 x y))))
(/.f64 (tan.f64 (/.f64 (neg.f64 (.f64 x x)) (.f64 (.f64 y #s(literal -2 binary64)) x))) (sin.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal 1 binary64) (tan.f64 (/.f64 x (.f64 y #s(literal 2 binary64))))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))))
(/.f64 (tan.f64 (.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 (.f64 x x) y))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
(/.f64 (tan.f64 (.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 (.f64 x x) x))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
(/.f64 (tan.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) (sin.f64 (.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 (*.f64 x x) y))))
(/.f64 (tan.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 (.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))) x) x)))
(/.f64 (tan.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 (/.f64 (.f64 (*.f64 x x) #s(literal 1/2 binary64)) y) x)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (sin.f64 (/.f64 x y)) #s(literal 2 binary64)) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))))
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 2 binary64) x))))
(/.f64 (tan.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 2 binary64) x))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
(/.f64 (tan.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 (.f64 (/.f64 #s(literal -1/2 binary64) y) (neg.f64 (*.f64 x x))) x)))
(/.f64 (tan.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 (-.f64 #s(literal 0 binary64) (.f64 (.f64 y #s(literal -2 binary64)) x)) (.f64 #s(literal 4 binary64) (*.f64 y y)))))
(/.f64 (tan.f64 (/.f64 (.f64 (/.f64 #s(literal -1/2 binary64) y) (neg.f64 (.f64 x x))) x)) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (cos.f64 (.f64 (pow.f64 (.f64 y #s(literal 2 binary64)) #s(literal -1/2 binary64)) (.f64 x #s(approx (pow ( y 2) -1/2) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) y))))))))
(/.f64 (tan.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) (sin.f64 (.f64 (.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 x (.f64 y #s(literal 2 binary64)))) x)))
(/.f64 (tan.f64 (.f64 (/.f64 #s(literal -1/2 binary64) (.f64 x (.f64 y x))) (neg.f64 (.f64 x (.f64 x x))))) (sin.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))))
(/.f64 (tan.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) x))) y)))
(/.f64 (tan.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))))))
(/.f64 (tan.f64 (/.f64 (.f64 (neg.f64 (.f64 x (.f64 x x))) #s(literal -1/2 binary64)) (.f64 (.f64 x x) y))) (sin.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))))
(/.f64 (/.f64 #s(literal 1 binary64) (sin.f64 (/.f64 x (.f64 y #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) (tan.f64 (/.f64 x (.f64 y #s(literal 2 binary64))))))
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (tan.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))))) (sin.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))))
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(/.f64 (tan.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) (sin.f64 (.f64 (pow.f64 (.f64 (.f64 x (.f64 y #s(literal -2 binary64))) (/.f64 #s(literal -1 binary64) (.f64 x x))) #s(literal -1/2 binary64)) (pow.f64 (.f64 (.f64 x (.f64 y #s(literal -2 binary64))) (/.f64 #s(literal -1 binary64) (.f64 x x))) #s(literal -1/2 binary64)))))
(.f64 (/.f64 (/.f64 #s(literal 1 binary64) (sin.f64 (/.f64 x (.f64 y #s(literal 2 binary64))))) (sin.f64 (/.f64 x (.f64 y #s(literal 2 binary64))))) (/.f64 (sin.f64 (/.f64 x (.f64 y #s(literal -2 binary64)))) (/.f64 #s(literal 1 binary64) (tan.f64 (/.f64 x (*.f64 y #s(literal -2 binary64)))))))
(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x (*.f64 (exp.f64 (log.f64 y)) (exp.f64 (log.f64 #s(literal 2 binary64)))))))
(/.f64 #s(literal 1 binary64) (cos.f64 (.f64 (pow.f64 (exp.f64 #s(literal -1/2 binary64)) (log.f64 (.f64 y #s(literal 2 binary64)))) (.f64 x (pow.f64 (.f64 y #s(literal 2 binary64)) #s(literal -1/2 binary64))))))
(/.f64 #s(literal 1 binary64) (cos.f64 (.f64 (pow.f64 (.f64 y #s(literal 2 binary64)) #s(literal -1/2 binary64)) (.f64 x (pow.f64 (exp.f64 #s(literal -1/2 binary64)) (log.f64 (.f64 y #s(literal 2 binary64))))))))
(/.f64 #s(literal 1 binary64) (cos.f64 (.f64 (pow.f64 (.f64 y #s(literal 2 binary64)) #s(literal -1/2 binary64)) (.f64 x (pow.f64 (exp.f64 (log.f64 (.f64 y #s(literal 2 binary64)))) #s(literal -1/2 binary64))))))
(/.f64 #s(literal 1 binary64) (cos.f64 (.f64 (exp.f64 (fma.f64 (log.f64 y) #s(literal -1/2 binary64) (.f64 #s(literal -1/2 binary64) (log.f64 #s(literal 2 binary64))))) (.f64 x (pow.f64 (.f64 y #s(literal 2 binary64)) #s(literal -1/2 binary64))))))
(pow.f64 (.f64 (cos.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) (cos.f64 (/.f64 x (exp.f64 (log.f64 (*.f64 y #s(literal 2 binary64))))))) #s(literal -1/2 binary64))
(pow.f64 (.f64 (cos.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) (cos.f64 (.f64 (pow.f64 y #s(literal -1/2 binary64)) (.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 y #s(literal -1/2 binary64))) x)))) #s(literal -1/2 binary64))
(/.f64 (tan.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) (sin.f64 (pow.f64 (exp.f64 (log.f64 (/.f64 y (.f64 x #s(literal 1/2 binary64))))) #s(literal -1 binary64))))
(pow.f64 (.f64 (cos.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) (cos.f64 (.f64 (pow.f64 (.f64 (.f64 y #s(literal 2 binary64)) y) #s(literal -1/2 binary64)) (.f64 x (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)))))) #s(literal -1/2 binary64))
(/.f64 #s(literal 1 binary64) (cos.f64 (.f64 (.f64 (.f64 (pow.f64 (.f64 y #s(literal 2 binary64)) #s(literal -1/8 binary64)) (pow.f64 y #s(literal -3/8 binary64))) (pow.f64 #s(literal 2 binary64) #s(literal -3/8 binary64))) (.f64 x (pow.f64 (.f64 y #s(literal 2 binary64)) #s(literal -1/2 binary64))))))
(/.f64 #s(literal 1 binary64) (cos.f64 (.f64 (.f64 (pow.f64 y #s(literal -1/8 binary64)) (.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/8 binary64)) (pow.f64 (.f64 y #s(literal 2 binary64)) #s(literal -3/8 binary64)))) (.f64 x (pow.f64 (.f64 y #s(literal 2 binary64)) #s(literal -1/2 binary64))))))
(/.f64 (tan.f64 (.f64 (.f64 (pow.f64 (.f64 y #s(literal 2 binary64)) #s(literal -1/2 binary64)) (.f64 x (pow.f64 y #s(literal -1/2 binary64)))) (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
(/.f64 (tan.f64 (.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/4 binary64)) (.f64 (pow.f64 y #s(literal -1/4 binary64)) (.f64 x (pow.f64 (.f64 y #s(literal 2 binary64)) #s(literal -3/4 binary64)))))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
(/.f64 (tan.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) (sin.f64 (.f64 (pow.f64 y #s(literal -1/4 binary64)) (.f64 (pow.f64 y #s(literal -1/4 binary64)) (.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 y #s(literal -1/2 binary64))) x)))))
(/.f64 (tan.f64 (.f64 (exp.f64 (.f64 #s(literal -1/2 binary64) (log.f64 (.f64 y (.f64 y #s(literal 2 binary64)))))) (.f64 x (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64))))) (sin.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))))
(/.f64 (tan.f64 (.f64 (pow.f64 (.f64 y #s(literal 2 binary64)) #s(literal -1/2 binary64)) (.f64 (exp.f64 (.f64 #s(literal -1/2 binary64) (log.f64 (.f64 y #s(literal 2 binary64))))) x))) (sin.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))))
(/.f64 (tan.f64 (.f64 (.f64 (pow.f64 (.f64 y #s(literal 2 binary64)) #s(literal -1/4 binary64)) (.f64 x (pow.f64 (.f64 y #s(literal 2 binary64)) #s(literal -3/8 binary64)))) (pow.f64 (.f64 y #s(literal 2 binary64)) #s(literal -3/8 binary64)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
(/.f64 (neg.f64 (pow.f64 (tan.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) #s(literal 3 binary64))) (.f64 (sin.f64 (/.f64 x (.f64 y #s(literal -2 binary64)))) (pow.f64 (tan.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) #s(literal 2 binary64))))
(/.f64 (/.f64 (neg.f64 (pow.f64 (sin.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) #s(literal 3 binary64))) (.f64 (neg.f64 (cos.f64 (/.f64 x (.f64 y #s(literal 2 binary64))))) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (/.f64 x y)))))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
(/.f64 (/.f64 (.f64 (neg.f64 (pow.f64 (sin.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) #s(literal 3 binary64))) (/.f64 #s(literal -1 binary64) (cos.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))))) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (/.f64 x y))))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (cos.f64 (.f64 (.f64 (pow.f64 y #s(literal -1/8 binary64)) #s(approx (* (pow 2 -1/8) (pow (* y 2) -3/8)) (exp.f64 (fma.f64 #s(literal 1/8 binary64) (log.f64 #s(literal 1/16 binary64)) (.f64 #s(literal -3/8 binary64) (log.f64 y)))))) (.f64 x (pow.f64 (*.f64 y #s(literal 2 binary64)) #s(literal -1/2 binary64))))))
(/.f64 #s(literal 1 binary64) (cos.f64 (.f64 (.f64 (pow.f64 y #s(literal -1/8 binary64)) (pow.f64 (.f64 (pow.f64 (.f64 y #s(literal 2 binary64)) #s(literal -3/16 binary64)) (pow.f64 #s(literal 2 binary64) #s(literal -1/16 binary64))) #s(literal 2 binary64))) (.f64 x (pow.f64 (.f64 y #s(literal 2 binary64)) #s(literal -1/2 binary64))))))
(/.f64 #s(literal 1 binary64) (cos.f64 (.f64 (exp.f64 (fma.f64 #s(literal -1/8 binary64) (log.f64 y) (fma.f64 #s(literal -1/8 binary64) (log.f64 #s(literal 2 binary64)) (.f64 #s(literal -3/8 binary64) (log.f64 (.f64 y #s(literal 2 binary64))))))) (.f64 x (pow.f64 (*.f64 y #s(literal 2 binary64)) #s(literal -1/2 binary64))))))
(/.f64 (tan.f64 (.f64 (pow.f64 (exp.f64 #s(literal -1/2 binary64)) (log.f64 (.f64 y (.f64 y #s(literal 2 binary64))))) (.f64 x (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64))))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
(/.f64 (tan.f64 (.f64 (pow.f64 (.f64 y #s(literal 2 binary64)) #s(literal -1/2 binary64)) (.f64 (pow.f64 (exp.f64 #s(literal -1/2 binary64)) (log.f64 (.f64 y #s(literal 2 binary64)))) x))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
(/.f64 (tan.f64 (.f64 (pow.f64 (.f64 y #s(literal 2 binary64)) #s(literal -1/2 binary64)) (.f64 (pow.f64 (.f64 y #s(literal 2 binary64)) #s(literal -1/2 binary64)) x))) (sin.f64 (/.f64 x (exp.f64 (log.f64 (*.f64 y #s(literal 2 binary64)))))))
(/.f64 (tan.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 y x))) (sin.f64 (/.f64 x (*.f64 (exp.f64 (log.f64 y)) (exp.f64 (log.f64 #s(literal 2 binary64)))))))
(/.f64 (tan.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) (sin.f64 (.f64 (pow.f64 (.f64 y #s(literal 2 binary64)) #s(literal -3/4 binary64)) (.f64 x (pow.f64 (exp.f64 (log.f64 (*.f64 y #s(literal 2 binary64)))) #s(literal -1/4 binary64))))))
(/.f64 (tan.f64 (.f64 (pow.f64 (.f64 y #s(literal 2 binary64)) #s(literal -1/2 binary64)) (.f64 (pow.f64 (.f64 y #s(literal 2 binary64)) #s(literal -1/2 binary64)) x))) (sin.f64 (.f64 (pow.f64 (.f64 y #s(literal 2 binary64)) #s(literal -1/2 binary64)) (.f64 x (pow.f64 (.f64 y #s(literal 2 binary64)) #s(literal -1/2 binary64))))))
(/.f64 (tan.f64 (.f64 (pow.f64 (.f64 (.f64 y #s(literal 2 binary64)) y) #s(literal -1/2 binary64)) (.f64 x (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64))))) (sin.f64 (.f64 (pow.f64 (.f64 y #s(literal 2 binary64)) #s(literal -1/2 binary64)) (.f64 x (pow.f64 (.f64 y #s(literal 2 binary64)) #s(literal -1/2 binary64))))))
(/.f64 (tan.f64 (.f64 (pow.f64 (.f64 y #s(literal 2 binary64)) #s(literal -1/2 binary64)) (.f64 (.f64 (pow.f64 y #s(literal -1/4 binary64)) (.f64 (pow.f64 y #s(literal -1/4 binary64)) (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)))) x))) (sin.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))))
(/.f64 (tan.f64 (/.f64 x (.f64 (exp.f64 (log.f64 y)) (exp.f64 (log.f64 #s(literal 2 binary64)))))) (sin.f64 (/.f64 (.f64 (/.f64 #s(literal -1/2 binary64) y) (neg.f64 (*.f64 x x))) x)))
(/.f64 (tan.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 y x))) (sin.f64 (.f64 (.f64 (.f64 (pow.f64 (.f64 y #s(literal 2 binary64)) #s(literal -1/4 binary64)) (*.f64 x (pow.f64 y #s(literal -3/4 binary64)))) (pow.f64 #s(literal 2 binary64) #s(literal -3/8 binary64))) (pow.f64 #s(literal 2 binary64) #s(literal -3/8 binary64)))))
(/.f64 #s(literal 1 binary64) (cos.f64 (.f64 (pow.f64 (.f64 y #s(literal 2 binary64)) #s(literal -1/2 binary64)) (.f64 x (pow.f64 (.f64 (exp.f64 (log.f64 y)) (exp.f64 (log.f64 #s(literal 2 binary64)))) #s(literal -1/2 binary64))))))
(/.f64 #s(literal 1 binary64) (cos.f64 (.f64 (pow.f64 (.f64 (exp.f64 (log.f64 y)) (exp.f64 (log.f64 #s(literal 2 binary64)))) #s(literal -1/2 binary64)) (.f64 x (pow.f64 (.f64 y #s(literal 2 binary64)) #s(literal -1/2 binary64))))))
(/.f64 (tan.f64 (.f64 (pow.f64 (.f64 (.f64 y #s(literal 2 binary64)) y) #s(literal -1/2 binary64)) (.f64 x (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64))))) (sin.f64 (.f64 (.f64 (.f64 x (pow.f64 (.f64 y #s(literal 2 binary64)) #s(literal -1/2 binary64))) (pow.f64 y #s(literal -1/2 binary64))) (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)))))
(/.f64 (/.f64 (.f64 (neg.f64 (pow.f64 (sin.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) #s(literal 3 binary64))) (sin.f64 (/.f64 x (.f64 y #s(literal -2 binary64))))) (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (/.f64 x y)))) (.f64 (+.f64 (sin.f64 (/.f64 x y)) (sin.f64 #s(literal 0 binary64))) #s(literal 1/2 binary64)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
(/.f64 (tan.f64 (.f64 (pow.f64 (.f64 y #s(literal 2 binary64)) #s(literal -1/2 binary64)) (.f64 (pow.f64 (.f64 y #s(literal 2 binary64)) #s(literal -1/2 binary64)) x))) (sin.f64 (/.f64 x (*.f64 (exp.f64 (log.f64 y)) (exp.f64 (log.f64 #s(literal 2 binary64)))))))
(/.f64 (tan.f64 (.f64 (pow.f64 (.f64 y #s(literal 2 binary64)) #s(literal -1/2 binary64)) (.f64 (pow.f64 (.f64 (exp.f64 (log.f64 y)) (exp.f64 (log.f64 #s(literal 2 binary64)))) #s(literal -1/2 binary64)) x))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
(/.f64 (tan.f64 (.f64 (pow.f64 (.f64 (exp.f64 (log.f64 y)) (exp.f64 (log.f64 #s(literal 2 binary64)))) #s(literal -1/2 binary64)) (.f64 (pow.f64 (.f64 y #s(literal 2 binary64)) #s(literal -1/2 binary64)) x))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
(/.f64 (tan.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) (sin.f64 (.f64 (pow.f64 (.f64 y #s(literal 2 binary64)) #s(literal -3/4 binary64)) (.f64 x (pow.f64 (*.f64 (exp.f64 (log.f64 y)) (exp.f64 (log.f64 #s(literal 2 binary64)))) #s(literal -1/4 binary64))))))
(/.f64 (tan.f64 (/.f64 x (.f64 (exp.f64 (log.f64 y)) (exp.f64 (log.f64 #s(literal 2 binary64)))))) (sin.f64 (.f64 (pow.f64 (.f64 y #s(literal 2 binary64)) #s(literal -3/4 binary64)) (.f64 x (pow.f64 (*.f64 y #s(literal 2 binary64)) #s(literal -1/4 binary64))))))
(/.f64 (tan.f64 (.f64 (pow.f64 (.f64 (.f64 y #s(literal 2 binary64)) y) #s(literal -1/2 binary64)) (.f64 x (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64))))) (sin.f64 (.f64 (.f64 (pow.f64 y #s(literal -3/8 binary64)) (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64))) (.f64 (pow.f64 y #s(literal -1/8 binary64)) (.f64 x (pow.f64 (*.f64 y #s(literal 2 binary64)) #s(literal -1/2 binary64)))))))

Outputs

(/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (*.f64 (pow.f64 y #s(literal -1/8 binary64)) (*.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/8 binary64)) (pow.f64 (*.f64 y #s(literal 2 binary64)) #s(literal -3/8 binary64)))) (*.f64 x (pow.f64 (*.f64 y #s(literal 2 binary64)) #s(literal -1/2 binary64))))))

#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(literal 1 binary64))

Calls

5 calls:

120.0ms	x
101.0ms	y
81.0ms	(/.f64 (tan.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))))
74.0ms	(*.f64 y #s(literal 2 binary64))
65.0ms	(/.f64 x (*.f64 y #s(literal 2 binary64)))

Results

Accuracy	Segments	Branch
54.6%	1	`x`
54.6%	1	`y`
56.3%	2	`(/.f64 (tan.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))))`
56.7%	2	`(/.f64 x (*.f64 y #s(literal 2 binary64)))`
54.6%	1	`(*.f64 y #s(literal 2 binary64))`

Compiler

Compiled 33 to 21 computations (36.4% saved)

regimes86.0ms (0.6%)

Memory

15.5MiB live, 54.8MiB allocated

Counts

189 → 2

Calls

Call 1

Inputs
#s(approx (/ (tan (* (pow (* (* y 2) y) -1/2) (* x (pow 2 -1/2)))) (sin (/ x (* y 2)))) #s(literal -1 binary64))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) #s(approx (cos (/ x (* y 2))) #s(approx (+ (* (/ (* x x) (* y y)) -1/8) 1) (/.f64 (.f64 (.f64 x x) #s(literal -1/8 binary64)) (*.f64 y y)))))
(/.f64 #s(literal 1 binary64) #s(approx (cos (/ x (* y 2))) (fma.f64 x (.f64 x (/.f64 #s(literal -1/8 binary64) (.f64 y y))) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) #s(approx (cos (/ x (* y 2))) (fma.f64 (/.f64 (.f64 x x) (.f64 y y)) #s(literal -1/8 binary64) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) #s(approx (cos (/ x (* y 2))) #s(approx (+ (* (/ (* x x) (* y y)) -1/8) 1) (/.f64 (fma.f64 x (.f64 x #s(literal -1/8 binary64)) (.f64 y y)) (*.f64 y y)))))
(/.f64 #s(literal 1 binary64) #s(approx (cos (/ x (* y 2))) (fma.f64 (/.f64 x y) (/.f64 (*.f64 x #s(literal -1/8 binary64)) y) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) #s(approx (cos (/ x (* y 2))) (fma.f64 (/.f64 (*.f64 x x) y) (/.f64 #s(literal -1/8 binary64) y) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) #s(approx (cos (/ x (* y 2))) (fma.f64 (.f64 x x) (.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal -1/8 binary64) y)) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) #s(approx (cos (/ x (* y 2))) (fma.f64 (/.f64 #s(literal 1 binary64) y) (.f64 x (.f64 (/.f64 x y) #s(literal -1/8 binary64))) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) #s(approx (cos (/ x (* y 2))) (fma.f64 (/.f64 (/.f64 (neg.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))))) (neg.f64 (fma.f64 (.f64 x x) (.f64 x x) #s(literal 0 binary64)))) (.f64 y y)) #s(literal -1/8 binary64) #s(literal 1 binary64))))
#s(approx (/ (tan (/ x (* y 2))) (sin (* (pow (* y 2) -3/4) (* x (pow (* y 2) -1/4))))) (*.f64 #s(literal -1/2 binary64) (pow.f64 #s(literal 16 binary64) #s(literal 1/4 binary64))))
(/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)))
(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 y x))))
(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 (.f64 x x) (.f64 y (+.f64 x x)))))
(/.f64 #s(literal 1 binary64) (cos.f64 (.f64 (.f64 #s(literal 1/2 binary64) x) (/.f64 x (*.f64 x y)))))
(/.f64 #s(literal 1 binary64) (cos.f64 (.f64 (.f64 x x) (/.f64 #s(literal 1/2 binary64) (*.f64 y x)))))
(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 #s(literal -1 binary64) x) y))))
(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 #s(literal 1 binary64) (/.f64 y (*.f64 x #s(literal 1/2 binary64))))))
(/.f64 #s(literal 1 binary64) (cos.f64 (.f64 (neg.f64 x) (.f64 x (/.f64 #s(literal -1/2 binary64) (*.f64 x y))))))
(/.f64 #s(literal 1 binary64) (cos.f64 (.f64 (/.f64 #s(literal -1/2 binary64) (.f64 x y)) (*.f64 x (neg.f64 x)))))
(/.f64 #s(literal 1 binary64) (cos.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (/.f64 (.f64 x x) y) x))))
(/.f64 #s(literal 1 binary64) (cos.f64 (.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 (.f64 x x) x))))
(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 (.f64 x (/.f64 x (.f64 y #s(literal 2 binary64)))) x)))
(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 (/.f64 (.f64 x x) (.f64 y #s(literal 2 binary64))) x)))
(/.f64 #s(approx (tan (/ x (* y 2))) (/.f64 (.f64 x #s(literal 1/2 binary64)) y)) (sin.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))))
(/.f64 (tan.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) #s(approx (sin (/ x ( y 2))) (/.f64 (*.f64 x #s(literal 1/2 binary64)) y)))
(/.f64 (tan.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) #s(approx (sin (/ ( (/ -1/2 y) (neg (* x x))) x)) (/.f64 (*.f64 x #s(literal 1/2 binary64)) y)))
(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 2 binary64) x))))
(/.f64 #s(literal 1 binary64) (cos.f64 (.f64 (/.f64 #s(literal 1 binary64) x) (.f64 x (/.f64 x (*.f64 y #s(literal 2 binary64)))))))
(/.f64 #s(literal 1 binary64) (cos.f64 (.f64 (/.f64 x (.f64 y #s(literal -2 binary64))) (*.f64 x (/.f64 #s(literal -1 binary64) x)))))
(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 #s(literal 1 binary64) (/.f64 (.f64 y x) (.f64 (*.f64 x x) #s(literal 1/2 binary64))))))
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(/.f64 (-.f64 #s(literal 0 binary64) (.f64 (sin.f64 (/.f64 x (.f64 y #s(literal -2 binary64)))) (tan.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))))) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (/.f64 x y)))))
(/.f64 (/.f64 (sin.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) (cos.f64 (/.f64 x (.f64 y #s(literal 2 binary64))))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
(.f64 (sin.f64 (/.f64 x (.f64 y #s(literal -2 binary64)))) (/.f64 (/.f64 #s(literal 1 binary64) (sin.f64 (/.f64 x (.f64 y #s(literal -2 binary64))))) (cos.f64 (/.f64 x (.f64 y #s(literal 2 binary64))))))
(.f64 (sin.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) (/.f64 (/.f64 #s(literal 1 binary64) (sin.f64 (/.f64 x (.f64 y #s(literal 2 binary64))))) (cos.f64 (/.f64 x (.f64 y #s(literal 2 binary64))))))
(/.f64 (tan.f64 (.f64 #s(approx (pow ( y 2) -1/2) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))) (.f64 (pow.f64 (.f64 y #s(literal 2 binary64)) #s(literal -1/2 binary64)) x))) (sin.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))))
(/.f64 (tan.f64 (.f64 (pow.f64 (.f64 y #s(literal 2 binary64)) #s(literal -1/2 binary64)) (.f64 #s(approx (pow ( y 2) -1/2) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))) x))) (sin.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))))
(pow.f64 (/.f64 (+.f64 (cos.f64 (fma.f64 x (/.f64 #s(literal -1/2 binary64) y) (/.f64 x (.f64 y #s(literal 2 binary64))))) (cos.f64 (-.f64 (/.f64 x (.f64 y #s(literal -2 binary64))) (/.f64 x (*.f64 y #s(literal 2 binary64)))))) #s(literal 2 binary64)) #s(literal -1/2 binary64))
(/.f64 (/.f64 (sin.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) (cos.f64 (/.f64 x (.f64 y #s(literal 2 binary64))))) (sin.f64 (/.f64 (.f64 (/.f64 #s(literal -1/2 binary64) y) (neg.f64 (.f64 x x))) x)))
(pow.f64 (.f64 (cos.f64 (exp.f64 (.f64 (log.f64 (/.f64 (.f64 y #s(literal 2 binary64)) x)) #s(literal -1 binary64)))) #s(approx (cos (/ x ( y 2))) #s(literal 1 binary64))) #s(literal -1/2 binary64))
(pow.f64 (.f64 (cos.f64 (.f64 (pow.f64 (.f64 y #s(literal 2 binary64)) #s(literal -1/2 binary64)) (.f64 x (pow.f64 (.f64 y #s(literal 2 binary64)) #s(literal -1/2 binary64))))) #s(approx (cos (/ x ( y 2))) #s(literal 1 binary64))) #s(literal -1/2 binary64))
(pow.f64 (.f64 (cos.f64 (.f64 (pow.f64 (.f64 y (.f64 y #s(literal 2 binary64))) #s(literal -1/2 binary64)) (.f64 x (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64))))) #s(approx (cos (/ x ( y 2))) #s(literal 1 binary64))) #s(literal -1/2 binary64))
(/.f64 #s(literal 1 binary64) (cos.f64 (.f64 (pow.f64 (.f64 y #s(literal 2 binary64)) #s(literal -1/2 binary64)) (.f64 x (pow.f64 (pow.f64 (.f64 y #s(literal 2 binary64)) #s(literal -1/8 binary64)) #s(literal 4 binary64))))))
(/.f64 #s(literal 1 binary64) (cos.f64 (.f64 (pow.f64 (pow.f64 (.f64 y #s(literal 2 binary64)) #s(literal -1/8 binary64)) #s(literal 4 binary64)) (.f64 x (pow.f64 (.f64 y #s(literal 2 binary64)) #s(literal -1/2 binary64))))))
(/.f64 #s(literal 1 binary64) (cos.f64 (.f64 (exp.f64 (.f64 #s(literal -1/2 binary64) (log.f64 (.f64 y #s(literal 2 binary64))))) (.f64 x (pow.f64 (*.f64 y #s(literal 2 binary64)) #s(literal -1/2 binary64))))))
(/.f64 #s(literal 1 binary64) (cos.f64 (.f64 (pow.f64 (.f64 y #s(literal 2 binary64)) #s(literal -1/2 binary64)) (.f64 x (exp.f64 (.f64 #s(literal -1/2 binary64) (log.f64 (*.f64 y #s(literal 2 binary64)))))))))
(/.f64 #s(literal 1 binary64) (cos.f64 (.f64 (.f64 (.f64 x (pow.f64 (.f64 (*.f64 y #s(literal 2 binary64)) y) #s(literal -1/2 binary64))) (pow.f64 #s(literal 2 binary64) #s(literal -1/4 binary64))) (pow.f64 #s(literal 2 binary64) #s(literal -1/4 binary64)))))
(/.f64 (tan.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) (sin.f64 (.f64 (pow.f64 y #s(literal -1/2 binary64)) (.f64 (.f64 #s(literal 1/2 binary64) (pow.f64 y #s(literal -1/2 binary64))) x))))
(/.f64 (tan.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) (sin.f64 (pow.f64 (pow.f64 (/.f64 x (.f64 y #s(literal 2 binary64))) #s(literal 1/2 binary64)) #s(literal 2 binary64))))
(/.f64 (tan.f64 (pow.f64 (pow.f64 (/.f64 x (.f64 y #s(literal 2 binary64))) #s(literal 1/2 binary64)) #s(literal 2 binary64))) (sin.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))))
(pow.f64 (.f64 (cos.f64 (.f64 (pow.f64 (/.f64 (.f64 y #s(literal 2 binary64)) x) #s(literal -1/2 binary64)) (pow.f64 (/.f64 (.f64 y #s(literal 2 binary64)) x) #s(literal -1/2 binary64)))) #s(approx (cos (/ x (* y 2))) #s(literal 1 binary64))) #s(literal -1/2 binary64))
(/.f64 (tan.f64 (exp.f64 (.f64 #s(literal -1 binary64) (log.f64 (/.f64 y (.f64 x #s(literal 1/2 binary64))))))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
(/.f64 (tan.f64 (exp.f64 (.f64 (log.f64 (/.f64 y (.f64 #s(literal 1/2 binary64) x))) #s(literal -1 binary64)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
(/.f64 (tan.f64 (exp.f64 (.f64 (log.f64 (/.f64 (.f64 y #s(literal 2 binary64)) x)) #s(literal -1 binary64)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
(/.f64 (tan.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) (sin.f64 (exp.f64 (.f64 #s(literal -1 binary64) (log.f64 (/.f64 y (*.f64 x #s(literal 1/2 binary64))))))))
(/.f64 (tan.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) (sin.f64 (exp.f64 (.f64 (log.f64 (/.f64 y (*.f64 #s(literal 1/2 binary64) x))) #s(literal -1 binary64)))))
(/.f64 (tan.f64 (.f64 (pow.f64 (.f64 y #s(literal 2 binary64)) #s(literal -1/2 binary64)) (.f64 (pow.f64 (.f64 y #s(literal 2 binary64)) #s(literal -1/2 binary64)) x))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
(/.f64 (tan.f64 (.f64 (pow.f64 (.f64 (.f64 y #s(literal 2 binary64)) y) #s(literal -1/2 binary64)) (.f64 x (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64))))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
(/.f64 (tan.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 y x))) (sin.f64 (/.f64 x (exp.f64 (log.f64 (*.f64 y #s(literal 2 binary64)))))))
(/.f64 (tan.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) (sin.f64 (.f64 (pow.f64 (.f64 y #s(literal 2 binary64)) #s(literal -3/4 binary64)) (.f64 x (pow.f64 (*.f64 y #s(literal 2 binary64)) #s(literal -1/4 binary64))))))
(/.f64 (tan.f64 (/.f64 x (exp.f64 (neg.f64 (.f64 #s(literal -1 binary64) (log.f64 (.f64 y #s(literal 2 binary64)))))))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
(/.f64 (tan.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (exp.f64 (neg.f64 (.f64 #s(literal -1 binary64) (log.f64 (*.f64 y #s(literal 2 binary64)))))))))
(/.f64 (tan.f64 (/.f64 #s(literal 1/2 binary64) (exp.f64 (.f64 (log.f64 (/.f64 x y)) #s(literal -1 binary64))))) (sin.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))))
(/.f64 (tan.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 y x))) (sin.f64 (exp.f64 (.f64 (log.f64 (/.f64 y (.f64 #s(literal 1/2 binary64) x))) #s(literal -1 binary64)))))
(/.f64 (tan.f64 (.f64 (pow.f64 (.f64 y #s(literal 2 binary64)) #s(literal -1/2 binary64)) (.f64 (pow.f64 (.f64 y #s(literal 2 binary64)) #s(literal -1/2 binary64)) x))) (sin.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 #s(literal -1 binary64) x) y))))
(/.f64 (tan.f64 (/.f64 x (exp.f64 (log.f64 (.f64 y #s(literal 2 binary64)))))) (sin.f64 (/.f64 (.f64 (/.f64 #s(literal -1/2 binary64) y) (neg.f64 (*.f64 x x))) x)))
(/.f64 (tan.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 (.f64 (.f64 x (pow.f64 (.f64 y #s(literal 2 binary64)) #s(literal -1/2 binary64))) (.f64 x (pow.f64 (.f64 y #s(literal 2 binary64)) #s(literal -1/2 binary64)))) x)))
(/.f64 (tan.f64 (.f64 (pow.f64 (.f64 y #s(literal 2 binary64)) #s(literal -1/2 binary64)) (.f64 (pow.f64 (.f64 y #s(literal 2 binary64)) #s(literal -1/2 binary64)) x))) (sin.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 2 binary64) x))))
(/.f64 (tan.f64 (.f64 (pow.f64 (.f64 y #s(literal 2 binary64)) #s(literal -1/2 binary64)) (/.f64 (pow.f64 (.f64 y #s(literal 2 binary64)) #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) x)))) (sin.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))))
(/.f64 (tan.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) (sin.f64 (.f64 (pow.f64 (.f64 y #s(literal 2 binary64)) #s(literal -1/2 binary64)) (/.f64 (pow.f64 (.f64 y #s(literal 2 binary64)) #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) x)))))
(.f64 (/.f64 (tan.f64 (/.f64 x (.f64 y #s(literal -2 binary64)))) (neg.f64 (pow.f64 (sin.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) #s(literal 3 binary64)))) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (/.f64 x y)))))
(/.f64 (tan.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (.f64 y #s(literal 2 binary64)) #s(literal -1/2 binary64))) (pow.f64 (*.f64 y #s(literal 2 binary64)) #s(literal -1/2 binary64))))))
(/.f64 (tan.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) (sin.f64 (.f64 (pow.f64 (.f64 (.f64 x (.f64 y #s(literal -2 binary64))) (/.f64 #s(literal -1 binary64) (.f64 x x))) #s(literal -1/2 binary64)) (pow.f64 (.f64 (.f64 x (.f64 y #s(literal -2 binary64))) (/.f64 #s(literal -1 binary64) (.f64 x x))) #s(literal -1/2 binary64)))))
(.f64 (/.f64 (/.f64 #s(literal 1 binary64) (sin.f64 (/.f64 x (.f64 y #s(literal 2 binary64))))) (sin.f64 (/.f64 x (.f64 y #s(literal 2 binary64))))) (/.f64 (sin.f64 (/.f64 x (.f64 y #s(literal -2 binary64)))) (/.f64 #s(literal 1 binary64) (tan.f64 (/.f64 x (*.f64 y #s(literal -2 binary64)))))))
(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x (*.f64 (exp.f64 (log.f64 y)) (exp.f64 (log.f64 #s(literal 2 binary64)))))))
(/.f64 #s(literal 1 binary64) (cos.f64 (.f64 (pow.f64 (exp.f64 #s(literal -1/2 binary64)) (log.f64 (.f64 y #s(literal 2 binary64)))) (.f64 x (pow.f64 (.f64 y #s(literal 2 binary64)) #s(literal -1/2 binary64))))))
(/.f64 #s(literal 1 binary64) (cos.f64 (.f64 (pow.f64 (.f64 y #s(literal 2 binary64)) #s(literal -1/2 binary64)) (.f64 x (pow.f64 (exp.f64 #s(literal -1/2 binary64)) (log.f64 (.f64 y #s(literal 2 binary64))))))))
(/.f64 #s(literal 1 binary64) (cos.f64 (.f64 (pow.f64 (.f64 y #s(literal 2 binary64)) #s(literal -1/2 binary64)) (.f64 x (pow.f64 (exp.f64 (log.f64 (.f64 y #s(literal 2 binary64)))) #s(literal -1/2 binary64))))))
(/.f64 #s(literal 1 binary64) (cos.f64 (.f64 (exp.f64 (fma.f64 (log.f64 y) #s(literal -1/2 binary64) (.f64 #s(literal -1/2 binary64) (log.f64 #s(literal 2 binary64))))) (.f64 x (pow.f64 (.f64 y #s(literal 2 binary64)) #s(literal -1/2 binary64))))))
(pow.f64 (.f64 (cos.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) (cos.f64 (/.f64 x (exp.f64 (log.f64 (*.f64 y #s(literal 2 binary64))))))) #s(literal -1/2 binary64))
(pow.f64 (.f64 (cos.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) (cos.f64 (.f64 (pow.f64 y #s(literal -1/2 binary64)) (.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 y #s(literal -1/2 binary64))) x)))) #s(literal -1/2 binary64))
(/.f64 (tan.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) (sin.f64 (pow.f64 (exp.f64 (log.f64 (/.f64 y (.f64 x #s(literal 1/2 binary64))))) #s(literal -1 binary64))))
(pow.f64 (.f64 (cos.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) (cos.f64 (.f64 (pow.f64 (.f64 (.f64 y #s(literal 2 binary64)) y) #s(literal -1/2 binary64)) (.f64 x (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)))))) #s(literal -1/2 binary64))
(/.f64 #s(literal 1 binary64) (cos.f64 (.f64 (.f64 (.f64 (pow.f64 (.f64 y #s(literal 2 binary64)) #s(literal -1/8 binary64)) (pow.f64 y #s(literal -3/8 binary64))) (pow.f64 #s(literal 2 binary64) #s(literal -3/8 binary64))) (.f64 x (pow.f64 (.f64 y #s(literal 2 binary64)) #s(literal -1/2 binary64))))))

Outputs

(/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (pow.f64 (*.f64 y #s(literal 2 binary64)) #s(literal -1/2 binary64)) (*.f64 x (pow.f64 (exp.f64 (log.f64 (*.f64 y #s(literal 2 binary64)))) #s(literal -1/2 binary64))))))

#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(literal 1 binary64))

Calls

1 calls:

76.0ms

(/.f64 x (*.f64 y #s(literal 2 binary64)))

Results

Accuracy	Segments	Branch
56.4%	2	`(/.f64 x (*.f64 y #s(literal 2 binary64)))`

Compiler

Compiled 7 to 5 computations (28.6% saved)

regimes90.0ms (0.6%)

Memory

14.5MiB live, 87.8MiB allocated

Counts

182 → 2

Calls

Call 1

Inputs
#s(approx (/ (tan (* (pow (* (* y 2) y) -1/2) (* x (pow 2 -1/2)))) (sin (/ x (* y 2)))) #s(literal -1 binary64))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) #s(approx (cos (/ x (* y 2))) #s(approx (+ (* (/ (* x x) (* y y)) -1/8) 1) (/.f64 (.f64 (.f64 x x) #s(literal -1/8 binary64)) (*.f64 y y)))))
(/.f64 #s(literal 1 binary64) #s(approx (cos (/ x (* y 2))) (fma.f64 x (.f64 x (/.f64 #s(literal -1/8 binary64) (.f64 y y))) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) #s(approx (cos (/ x (* y 2))) (fma.f64 (/.f64 (.f64 x x) (.f64 y y)) #s(literal -1/8 binary64) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) #s(approx (cos (/ x (* y 2))) #s(approx (+ (* (/ (* x x) (* y y)) -1/8) 1) (/.f64 (fma.f64 x (.f64 x #s(literal -1/8 binary64)) (.f64 y y)) (*.f64 y y)))))
(/.f64 #s(literal 1 binary64) #s(approx (cos (/ x (* y 2))) (fma.f64 (/.f64 x y) (/.f64 (*.f64 x #s(literal -1/8 binary64)) y) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) #s(approx (cos (/ x (* y 2))) (fma.f64 (/.f64 (*.f64 x x) y) (/.f64 #s(literal -1/8 binary64) y) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) #s(approx (cos (/ x (* y 2))) (fma.f64 (.f64 x x) (.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal -1/8 binary64) y)) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) #s(approx (cos (/ x (* y 2))) (fma.f64 (/.f64 #s(literal 1 binary64) y) (.f64 x (.f64 (/.f64 x y) #s(literal -1/8 binary64))) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) #s(approx (cos (/ x (* y 2))) (fma.f64 (/.f64 (/.f64 (neg.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))))) (neg.f64 (fma.f64 (.f64 x x) (.f64 x x) #s(literal 0 binary64)))) (.f64 y y)) #s(literal -1/8 binary64) #s(literal 1 binary64))))
#s(approx (/ (tan (/ x (* y 2))) (sin (* (pow (* y 2) -3/4) (* x (pow (* y 2) -1/4))))) (*.f64 #s(literal -1/2 binary64) (pow.f64 #s(literal 16 binary64) #s(literal 1/4 binary64))))
(/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)))
(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 y x))))
(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 (.f64 x x) (.f64 y (+.f64 x x)))))
(/.f64 #s(literal 1 binary64) (cos.f64 (.f64 (.f64 #s(literal 1/2 binary64) x) (/.f64 x (*.f64 x y)))))
(/.f64 #s(literal 1 binary64) (cos.f64 (.f64 (.f64 x x) (/.f64 #s(literal 1/2 binary64) (*.f64 y x)))))
(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 #s(literal -1 binary64) x) y))))
(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 #s(literal 1 binary64) (/.f64 y (*.f64 x #s(literal 1/2 binary64))))))
(/.f64 #s(literal 1 binary64) (cos.f64 (.f64 (neg.f64 x) (.f64 x (/.f64 #s(literal -1/2 binary64) (*.f64 x y))))))
(/.f64 #s(literal 1 binary64) (cos.f64 (.f64 (/.f64 #s(literal -1/2 binary64) (.f64 x y)) (*.f64 x (neg.f64 x)))))
(/.f64 #s(literal 1 binary64) (cos.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (/.f64 (.f64 x x) y) x))))
(/.f64 #s(literal 1 binary64) (cos.f64 (.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 (.f64 x x) x))))
(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 (.f64 x (/.f64 x (.f64 y #s(literal 2 binary64)))) x)))
(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 (/.f64 (.f64 x x) (.f64 y #s(literal 2 binary64))) x)))
(/.f64 #s(approx (tan (/ x (* y 2))) (/.f64 (.f64 x #s(literal 1/2 binary64)) y)) (sin.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))))
(/.f64 (tan.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) #s(approx (sin (/ x ( y 2))) (/.f64 (*.f64 x #s(literal 1/2 binary64)) y)))
(/.f64 (tan.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) #s(approx (sin (/ ( (/ -1/2 y) (neg (* x x))) x)) (/.f64 (*.f64 x #s(literal 1/2 binary64)) y)))
(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 2 binary64) x))))
(/.f64 #s(literal 1 binary64) (cos.f64 (.f64 (/.f64 #s(literal 1 binary64) x) (.f64 x (/.f64 x (*.f64 y #s(literal 2 binary64)))))))
(/.f64 #s(literal 1 binary64) (cos.f64 (.f64 (/.f64 x (.f64 y #s(literal -2 binary64))) (*.f64 x (/.f64 #s(literal -1 binary64) x)))))
(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 #s(literal 1 binary64) (/.f64 (.f64 y x) (.f64 (*.f64 x x) #s(literal 1/2 binary64))))))
(/.f64 #s(literal 1 binary64) (cos.f64 (.f64 (/.f64 #s(literal -1/2 binary64) (.f64 x (.f64 y x))) (neg.f64 (.f64 x (*.f64 x x))))))
(/.f64 #s(literal 1 binary64) (cos.f64 (.f64 (/.f64 #s(literal 1/2 binary64) y) (.f64 (*.f64 x (neg.f64 x)) (/.f64 #s(literal -1 binary64) x)))))
(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 #s(literal -1 binary64) (.f64 (/.f64 y (.f64 (*.f64 x x) #s(literal 1/2 binary64))) (neg.f64 x)))))
(/.f64 #s(literal 1 binary64) (cos.f64 (.f64 (.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) x) (/.f64 (.f64 x x) (*.f64 y #s(literal 2 binary64))))))
(/.f64 #s(literal 1 binary64) (cos.f64 (.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (.f64 x (/.f64 (.f64 x x) (*.f64 y #s(literal 2 binary64)))))))
(/.f64 #s(literal 1 binary64) (cos.f64 (.f64 (.f64 (/.f64 #s(literal -1/2 binary64) (.f64 x (.f64 y x))) (neg.f64 x)) (/.f64 (.f64 x (.f64 x x)) x))))
(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 (.f64 (neg.f64 (.f64 x (.f64 x (.f64 x x)))) (/.f64 #s(literal -1/2 binary64) (.f64 x y))) (.f64 x x))))
(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (.f64 #s(literal 1 binary64) (/.f64 y (.f64 x (.f64 (*.f64 x x) #s(literal 1/2 binary64))))))))
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(.f64 (sin.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) (/.f64 (/.f64 #s(literal 1 binary64) (sin.f64 (/.f64 x (.f64 y #s(literal 2 binary64))))) (cos.f64 (/.f64 x (.f64 y #s(literal 2 binary64))))))
(/.f64 (tan.f64 (.f64 #s(approx (pow ( y 2) -1/2) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))) (.f64 (pow.f64 (.f64 y #s(literal 2 binary64)) #s(literal -1/2 binary64)) x))) (sin.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))))
(/.f64 (tan.f64 (.f64 (pow.f64 (.f64 y #s(literal 2 binary64)) #s(literal -1/2 binary64)) (.f64 #s(approx (pow ( y 2) -1/2) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))) x))) (sin.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))))
(pow.f64 (/.f64 (+.f64 (cos.f64 (fma.f64 x (/.f64 #s(literal -1/2 binary64) y) (/.f64 x (.f64 y #s(literal 2 binary64))))) (cos.f64 (-.f64 (/.f64 x (.f64 y #s(literal -2 binary64))) (/.f64 x (*.f64 y #s(literal 2 binary64)))))) #s(literal 2 binary64)) #s(literal -1/2 binary64))
(/.f64 (/.f64 (sin.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) (cos.f64 (/.f64 x (.f64 y #s(literal 2 binary64))))) (sin.f64 (/.f64 (.f64 (/.f64 #s(literal -1/2 binary64) y) (neg.f64 (.f64 x x))) x)))
(pow.f64 (.f64 (cos.f64 (exp.f64 (.f64 (log.f64 (/.f64 (.f64 y #s(literal 2 binary64)) x)) #s(literal -1 binary64)))) #s(approx (cos (/ x ( y 2))) #s(literal 1 binary64))) #s(literal -1/2 binary64))
(pow.f64 (.f64 (cos.f64 (.f64 (pow.f64 (.f64 y #s(literal 2 binary64)) #s(literal -1/2 binary64)) (.f64 x (pow.f64 (.f64 y #s(literal 2 binary64)) #s(literal -1/2 binary64))))) #s(approx (cos (/ x ( y 2))) #s(literal 1 binary64))) #s(literal -1/2 binary64))
(pow.f64 (.f64 (cos.f64 (.f64 (pow.f64 (.f64 y (.f64 y #s(literal 2 binary64))) #s(literal -1/2 binary64)) (.f64 x (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64))))) #s(approx (cos (/ x ( y 2))) #s(literal 1 binary64))) #s(literal -1/2 binary64))
(/.f64 #s(literal 1 binary64) (cos.f64 (.f64 (pow.f64 (.f64 y #s(literal 2 binary64)) #s(literal -1/2 binary64)) (.f64 x (pow.f64 (pow.f64 (.f64 y #s(literal 2 binary64)) #s(literal -1/8 binary64)) #s(literal 4 binary64))))))
(/.f64 #s(literal 1 binary64) (cos.f64 (.f64 (pow.f64 (pow.f64 (.f64 y #s(literal 2 binary64)) #s(literal -1/8 binary64)) #s(literal 4 binary64)) (.f64 x (pow.f64 (.f64 y #s(literal 2 binary64)) #s(literal -1/2 binary64))))))
(/.f64 #s(literal 1 binary64) (cos.f64 (.f64 (exp.f64 (.f64 #s(literal -1/2 binary64) (log.f64 (.f64 y #s(literal 2 binary64))))) (.f64 x (pow.f64 (*.f64 y #s(literal 2 binary64)) #s(literal -1/2 binary64))))))
(/.f64 #s(literal 1 binary64) (cos.f64 (.f64 (pow.f64 (.f64 y #s(literal 2 binary64)) #s(literal -1/2 binary64)) (.f64 x (exp.f64 (.f64 #s(literal -1/2 binary64) (log.f64 (*.f64 y #s(literal 2 binary64)))))))))
(/.f64 #s(literal 1 binary64) (cos.f64 (.f64 (.f64 (.f64 x (pow.f64 (.f64 (*.f64 y #s(literal 2 binary64)) y) #s(literal -1/2 binary64))) (pow.f64 #s(literal 2 binary64) #s(literal -1/4 binary64))) (pow.f64 #s(literal 2 binary64) #s(literal -1/4 binary64)))))
(/.f64 (tan.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) (sin.f64 (.f64 (pow.f64 y #s(literal -1/2 binary64)) (.f64 (.f64 #s(literal 1/2 binary64) (pow.f64 y #s(literal -1/2 binary64))) x))))
(/.f64 (tan.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) (sin.f64 (pow.f64 (pow.f64 (/.f64 x (.f64 y #s(literal 2 binary64))) #s(literal 1/2 binary64)) #s(literal 2 binary64))))
(/.f64 (tan.f64 (pow.f64 (pow.f64 (/.f64 x (.f64 y #s(literal 2 binary64))) #s(literal 1/2 binary64)) #s(literal 2 binary64))) (sin.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))))
(pow.f64 (.f64 (cos.f64 (.f64 (pow.f64 (/.f64 (.f64 y #s(literal 2 binary64)) x) #s(literal -1/2 binary64)) (pow.f64 (/.f64 (.f64 y #s(literal 2 binary64)) x) #s(literal -1/2 binary64)))) #s(approx (cos (/ x (* y 2))) #s(literal 1 binary64))) #s(literal -1/2 binary64))
(/.f64 (tan.f64 (exp.f64 (.f64 #s(literal -1 binary64) (log.f64 (/.f64 y (.f64 x #s(literal 1/2 binary64))))))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
(/.f64 (tan.f64 (exp.f64 (.f64 (log.f64 (/.f64 y (.f64 #s(literal 1/2 binary64) x))) #s(literal -1 binary64)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
(/.f64 (tan.f64 (exp.f64 (.f64 (log.f64 (/.f64 (.f64 y #s(literal 2 binary64)) x)) #s(literal -1 binary64)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
(/.f64 (tan.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) (sin.f64 (exp.f64 (.f64 #s(literal -1 binary64) (log.f64 (/.f64 y (*.f64 x #s(literal 1/2 binary64))))))))
(/.f64 (tan.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) (sin.f64 (exp.f64 (.f64 (log.f64 (/.f64 y (*.f64 #s(literal 1/2 binary64) x))) #s(literal -1 binary64)))))
(/.f64 (tan.f64 (.f64 (pow.f64 (.f64 y #s(literal 2 binary64)) #s(literal -1/2 binary64)) (.f64 (pow.f64 (.f64 y #s(literal 2 binary64)) #s(literal -1/2 binary64)) x))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
(/.f64 (tan.f64 (.f64 (pow.f64 (.f64 (.f64 y #s(literal 2 binary64)) y) #s(literal -1/2 binary64)) (.f64 x (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64))))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
(/.f64 (tan.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 y x))) (sin.f64 (/.f64 x (exp.f64 (log.f64 (*.f64 y #s(literal 2 binary64)))))))
(/.f64 (tan.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) (sin.f64 (.f64 (pow.f64 (.f64 y #s(literal 2 binary64)) #s(literal -3/4 binary64)) (.f64 x (pow.f64 (*.f64 y #s(literal 2 binary64)) #s(literal -1/4 binary64))))))
(/.f64 (tan.f64 (/.f64 x (exp.f64 (neg.f64 (.f64 #s(literal -1 binary64) (log.f64 (.f64 y #s(literal 2 binary64)))))))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
(/.f64 (tan.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (exp.f64 (neg.f64 (.f64 #s(literal -1 binary64) (log.f64 (*.f64 y #s(literal 2 binary64)))))))))
(/.f64 (tan.f64 (/.f64 #s(literal 1/2 binary64) (exp.f64 (.f64 (log.f64 (/.f64 x y)) #s(literal -1 binary64))))) (sin.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))))
(/.f64 (tan.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 y x))) (sin.f64 (exp.f64 (.f64 (log.f64 (/.f64 y (.f64 #s(literal 1/2 binary64) x))) #s(literal -1 binary64)))))
(/.f64 (tan.f64 (.f64 (pow.f64 (.f64 y #s(literal 2 binary64)) #s(literal -1/2 binary64)) (.f64 (pow.f64 (.f64 y #s(literal 2 binary64)) #s(literal -1/2 binary64)) x))) (sin.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 #s(literal -1 binary64) x) y))))
(/.f64 (tan.f64 (/.f64 x (exp.f64 (log.f64 (.f64 y #s(literal 2 binary64)))))) (sin.f64 (/.f64 (.f64 (/.f64 #s(literal -1/2 binary64) y) (neg.f64 (*.f64 x x))) x)))
(/.f64 (tan.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 (.f64 (.f64 x (pow.f64 (.f64 y #s(literal 2 binary64)) #s(literal -1/2 binary64))) (.f64 x (pow.f64 (.f64 y #s(literal 2 binary64)) #s(literal -1/2 binary64)))) x)))
(/.f64 (tan.f64 (.f64 (pow.f64 (.f64 y #s(literal 2 binary64)) #s(literal -1/2 binary64)) (.f64 (pow.f64 (.f64 y #s(literal 2 binary64)) #s(literal -1/2 binary64)) x))) (sin.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 2 binary64) x))))
(/.f64 (tan.f64 (.f64 (pow.f64 (.f64 y #s(literal 2 binary64)) #s(literal -1/2 binary64)) (/.f64 (pow.f64 (.f64 y #s(literal 2 binary64)) #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) x)))) (sin.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))))
(/.f64 (tan.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) (sin.f64 (.f64 (pow.f64 (.f64 y #s(literal 2 binary64)) #s(literal -1/2 binary64)) (/.f64 (pow.f64 (.f64 y #s(literal 2 binary64)) #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) x)))))
(.f64 (/.f64 (tan.f64 (/.f64 x (.f64 y #s(literal -2 binary64)))) (neg.f64 (pow.f64 (sin.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) #s(literal 3 binary64)))) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (/.f64 x y)))))
(/.f64 (tan.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (.f64 y #s(literal 2 binary64)) #s(literal -1/2 binary64))) (pow.f64 (*.f64 y #s(literal 2 binary64)) #s(literal -1/2 binary64))))))
(/.f64 (tan.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) (sin.f64 (.f64 (pow.f64 (.f64 (.f64 x (.f64 y #s(literal -2 binary64))) (/.f64 #s(literal -1 binary64) (.f64 x x))) #s(literal -1/2 binary64)) (pow.f64 (.f64 (.f64 x (.f64 y #s(literal -2 binary64))) (/.f64 #s(literal -1 binary64) (.f64 x x))) #s(literal -1/2 binary64)))))
(.f64 (/.f64 (/.f64 #s(literal 1 binary64) (sin.f64 (/.f64 x (.f64 y #s(literal 2 binary64))))) (sin.f64 (/.f64 x (.f64 y #s(literal 2 binary64))))) (/.f64 (sin.f64 (/.f64 x (.f64 y #s(literal -2 binary64)))) (/.f64 #s(literal 1 binary64) (tan.f64 (/.f64 x (*.f64 y #s(literal -2 binary64)))))))
(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x (*.f64 (exp.f64 (log.f64 y)) (exp.f64 (log.f64 #s(literal 2 binary64)))))))
(/.f64 #s(literal 1 binary64) (cos.f64 (.f64 (pow.f64 (exp.f64 #s(literal -1/2 binary64)) (log.f64 (.f64 y #s(literal 2 binary64)))) (.f64 x (pow.f64 (.f64 y #s(literal 2 binary64)) #s(literal -1/2 binary64))))))
(/.f64 #s(literal 1 binary64) (cos.f64 (.f64 (pow.f64 (.f64 y #s(literal 2 binary64)) #s(literal -1/2 binary64)) (.f64 x (pow.f64 (exp.f64 #s(literal -1/2 binary64)) (log.f64 (.f64 y #s(literal 2 binary64))))))))

Outputs

(/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (pow.f64 (*.f64 y #s(literal 2 binary64)) #s(literal -1/2 binary64)) (*.f64 x (pow.f64 (*.f64 y #s(literal 2 binary64)) #s(literal -1/2 binary64))))))

#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(literal 1 binary64))

Calls

1 calls:

81.0ms

(/.f64 x (*.f64 y #s(literal 2 binary64)))

Results

Accuracy	Segments	Branch
56.3%	2	`(/.f64 x (*.f64 y #s(literal 2 binary64)))`

Compiler

Compiled 7 to 5 computations (28.6% saved)

regimes181.0ms (1.2%)

Memory

-19.2MiB live, 80.6MiB allocated

Counts

116 → 2

Calls

Call 1

Inputs
#s(approx (/ (tan (* (pow (* (* y 2) y) -1/2) (* x (pow 2 -1/2)))) (sin (/ x (* y 2)))) #s(literal -1 binary64))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) #s(approx (cos (/ x (* y 2))) #s(approx (+ (* (/ (* x x) (* y y)) -1/8) 1) (/.f64 (.f64 (.f64 x x) #s(literal -1/8 binary64)) (*.f64 y y)))))
(/.f64 #s(literal 1 binary64) #s(approx (cos (/ x (* y 2))) (fma.f64 x (.f64 x (/.f64 #s(literal -1/8 binary64) (.f64 y y))) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) #s(approx (cos (/ x (* y 2))) (fma.f64 (/.f64 (.f64 x x) (.f64 y y)) #s(literal -1/8 binary64) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) #s(approx (cos (/ x (* y 2))) #s(approx (+ (* (/ (* x x) (* y y)) -1/8) 1) (/.f64 (fma.f64 x (.f64 x #s(literal -1/8 binary64)) (.f64 y y)) (*.f64 y y)))))
(/.f64 #s(literal 1 binary64) #s(approx (cos (/ x (* y 2))) (fma.f64 (/.f64 x y) (/.f64 (*.f64 x #s(literal -1/8 binary64)) y) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) #s(approx (cos (/ x (* y 2))) (fma.f64 (/.f64 (*.f64 x x) y) (/.f64 #s(literal -1/8 binary64) y) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) #s(approx (cos (/ x (* y 2))) (fma.f64 (.f64 x x) (.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal -1/8 binary64) y)) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) #s(approx (cos (/ x (* y 2))) (fma.f64 (/.f64 #s(literal 1 binary64) y) (.f64 x (.f64 (/.f64 x y) #s(literal -1/8 binary64))) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) #s(approx (cos (/ x (* y 2))) (fma.f64 (/.f64 (/.f64 (neg.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))))) (neg.f64 (fma.f64 (.f64 x x) (.f64 x x) #s(literal 0 binary64)))) (.f64 y y)) #s(literal -1/8 binary64) #s(literal 1 binary64))))
#s(approx (/ (tan (/ x (* y 2))) (sin (* (pow (* y 2) -3/4) (* x (pow (* y 2) -1/4))))) (*.f64 #s(literal -1/2 binary64) (pow.f64 #s(literal 16 binary64) #s(literal 1/4 binary64))))
(/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)))
(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 y x))))
(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 (.f64 x x) (.f64 y (+.f64 x x)))))
(/.f64 #s(literal 1 binary64) (cos.f64 (.f64 (.f64 #s(literal 1/2 binary64) x) (/.f64 x (*.f64 x y)))))
(/.f64 #s(literal 1 binary64) (cos.f64 (.f64 (.f64 x x) (/.f64 #s(literal 1/2 binary64) (*.f64 y x)))))
(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 #s(literal -1 binary64) x) y))))
(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 #s(literal 1 binary64) (/.f64 y (*.f64 x #s(literal 1/2 binary64))))))
(/.f64 #s(literal 1 binary64) (cos.f64 (.f64 (neg.f64 x) (.f64 x (/.f64 #s(literal -1/2 binary64) (*.f64 x y))))))
(/.f64 #s(literal 1 binary64) (cos.f64 (.f64 (/.f64 #s(literal -1/2 binary64) (.f64 x y)) (*.f64 x (neg.f64 x)))))
(/.f64 #s(literal 1 binary64) (cos.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (/.f64 (.f64 x x) y) x))))
(/.f64 #s(literal 1 binary64) (cos.f64 (.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 (.f64 x x) x))))
(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 (.f64 x (/.f64 x (.f64 y #s(literal 2 binary64)))) x)))
(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 (/.f64 (.f64 x x) (.f64 y #s(literal 2 binary64))) x)))
(/.f64 #s(approx (tan (/ x (* y 2))) (/.f64 (.f64 x #s(literal 1/2 binary64)) y)) (sin.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))))
(/.f64 (tan.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) #s(approx (sin (/ x ( y 2))) (/.f64 (*.f64 x #s(literal 1/2 binary64)) y)))
(/.f64 (tan.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) #s(approx (sin (/ ( (/ -1/2 y) (neg (* x x))) x)) (/.f64 (*.f64 x #s(literal 1/2 binary64)) y)))
(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 2 binary64) x))))
(/.f64 #s(literal 1 binary64) (cos.f64 (.f64 (/.f64 #s(literal 1 binary64) x) (.f64 x (/.f64 x (*.f64 y #s(literal 2 binary64)))))))
(/.f64 #s(literal 1 binary64) (cos.f64 (.f64 (/.f64 x (.f64 y #s(literal -2 binary64))) (*.f64 x (/.f64 #s(literal -1 binary64) x)))))
(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 #s(literal 1 binary64) (/.f64 (.f64 y x) (.f64 (*.f64 x x) #s(literal 1/2 binary64))))))
(/.f64 #s(literal 1 binary64) (cos.f64 (.f64 (/.f64 #s(literal -1/2 binary64) (.f64 x (.f64 y x))) (neg.f64 (.f64 x (*.f64 x x))))))
(/.f64 #s(literal 1 binary64) (cos.f64 (.f64 (/.f64 #s(literal 1/2 binary64) y) (.f64 (*.f64 x (neg.f64 x)) (/.f64 #s(literal -1 binary64) x)))))
(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 #s(literal -1 binary64) (.f64 (/.f64 y (.f64 (*.f64 x x) #s(literal 1/2 binary64))) (neg.f64 x)))))
(/.f64 #s(literal 1 binary64) (cos.f64 (.f64 (.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) x) (/.f64 (.f64 x x) (*.f64 y #s(literal 2 binary64))))))
(/.f64 #s(literal 1 binary64) (cos.f64 (.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (.f64 x (/.f64 (.f64 x x) (*.f64 y #s(literal 2 binary64)))))))
(/.f64 #s(literal 1 binary64) (cos.f64 (.f64 (.f64 (/.f64 #s(literal -1/2 binary64) (.f64 x (.f64 y x))) (neg.f64 x)) (/.f64 (.f64 x (.f64 x x)) x))))
(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 (.f64 (neg.f64 (.f64 x (.f64 x (.f64 x x)))) (/.f64 #s(literal -1/2 binary64) (.f64 x y))) (.f64 x x))))
(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (.f64 #s(literal 1 binary64) (/.f64 y (.f64 x (.f64 (*.f64 x x) #s(literal 1/2 binary64))))))))
(/.f64 (tan.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) #s(approx (sin (/ x ( y 2))) (.f64 x (fma.f64 #s(literal -1/48 binary64) (/.f64 (.f64 x x) (.f64 y (.f64 y y))) (/.f64 #s(literal 1/2 binary64) y)))))
(/.f64 (tan.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) #s(approx (sin (/ x ( y 2))) (/.f64 (fma.f64 #s(literal -1/48 binary64) (/.f64 (.f64 x (.f64 x x)) (.f64 y y)) (.f64 x #s(literal 1/2 binary64))) y)))
(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 (.f64 (neg.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))))) (/.f64 #s(literal -1/2 binary64) (.f64 x y))) (.f64 x (.f64 x (.f64 x x))))))
(pow.f64 (fma.f64 (cos.f64 (/.f64 x y)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) #s(literal -1/2 binary64))
(pow.f64 (.f64 (cos.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) #s(approx (cos (/ x (* y 2))) #s(literal 1 binary64))) #s(literal -1/2 binary64))
(/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (/.f64 x y)) #s(literal 1/2 binary64)) #s(literal 1/2 binary64)))
(pow.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x y))))) #s(literal -1/2 binary64))
(/.f64 #s(literal 1 binary64) (cos.f64 #s(approx (* (* (pow y -1/8) (* (pow 2 -1/8) (pow (* y 2) -3/8))) (* x (pow (* y 2) -1/2))) (.f64 (pow.f64 #s(literal 1/16 binary64) #s(literal 1/8 binary64)) (/.f64 (.f64 x (sqrt.f64 #s(literal 1/2 binary64))) y)))))
(/.f64 (tan.f64 #s(approx (* (pow (* (* y 2) y) -1/2) (* x (pow 2 -1/2))) (/.f64 (.f64 x #s(literal -1/2 binary64)) y))) (sin.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))))
(/.f64 (tan.f64 (.f64 (/.f64 #s(literal 1/2 binary64) y) x)) (sin.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))))
(/.f64 (tan.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) (sin.f64 (.f64 (/.f64 #s(literal 1/2 binary64) y) x)))
(/.f64 (tan.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))))
(.f64 (/.f64 #s(literal 1 binary64) (sin.f64 (/.f64 x (.f64 y #s(literal 2 binary64))))) (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
(/.f64 (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (/.f64 (sin.f64 (/.f64 x y)) #s(literal 2 binary64)))
(/.f64 (tan.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 x y))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
(/.f64 (tan.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 y x))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 x y))))
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 y x))))
(/.f64 (tan.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 (.f64 x x) (*.f64 y (+.f64 x x)))))
(/.f64 (tan.f64 (/.f64 (.f64 x x) (.f64 y (+.f64 x x)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
(/.f64 (tan.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) (sin.f64 (.f64 (.f64 x x) (/.f64 #s(literal 1/2 binary64) (.f64 y x)))))
(/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) (tan.f64 (/.f64 x (.f64 y #s(literal 2 binary64))))))
(/.f64 (tan.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 #s(literal -1/2 binary64) (.f64 (/.f64 #s(literal -1 binary64) x) y))))
(/.f64 (tan.f64 (.f64 (neg.f64 x) (.f64 x (/.f64 #s(literal -1/2 binary64) (.f64 x y))))) (sin.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))))
(/.f64 (tan.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) (sin.f64 (.f64 (/.f64 #s(literal -1/2 binary64) (.f64 x y)) (.f64 x (neg.f64 x)))))
(/.f64 (tan.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 (.f64 (neg.f64 (.f64 x x)) #s(literal -1/2 binary64)) (.f64 x y))))
(/.f64 (tan.f64 (/.f64 (neg.f64 (.f64 x x)) (.f64 (.f64 y #s(literal -2 binary64)) x))) (sin.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal 1 binary64) (tan.f64 (/.f64 x (.f64 y #s(literal 2 binary64))))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))))
(/.f64 (tan.f64 (.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 (.f64 x x) y))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
(/.f64 (tan.f64 (.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 (.f64 x x) x))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
(/.f64 (tan.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) (sin.f64 (.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 (*.f64 x x) y))))
(/.f64 (tan.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 (.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))) x) x)))
(/.f64 (tan.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 (/.f64 (.f64 (*.f64 x x) #s(literal 1/2 binary64)) y) x)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (sin.f64 (/.f64 x y)) #s(literal 2 binary64)) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))))
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 2 binary64) x))))
(/.f64 (tan.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 2 binary64) x))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
(/.f64 (tan.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 (.f64 (/.f64 #s(literal -1/2 binary64) y) (neg.f64 (*.f64 x x))) x)))
(/.f64 (tan.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 (-.f64 #s(literal 0 binary64) (.f64 (.f64 y #s(literal -2 binary64)) x)) (.f64 #s(literal 4 binary64) (*.f64 y y)))))
(/.f64 (tan.f64 (/.f64 (.f64 (/.f64 #s(literal -1/2 binary64) y) (neg.f64 (.f64 x x))) x)) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (cos.f64 (.f64 (pow.f64 (.f64 y #s(literal 2 binary64)) #s(literal -1/2 binary64)) (.f64 x #s(approx (pow ( y 2) -1/2) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) y))))))))
(/.f64 (tan.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) (sin.f64 (.f64 (.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 x (.f64 y #s(literal 2 binary64)))) x)))
(/.f64 (tan.f64 (.f64 (/.f64 #s(literal -1/2 binary64) (.f64 x (.f64 y x))) (neg.f64 (.f64 x (.f64 x x))))) (sin.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))))
(/.f64 (tan.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) x))) y)))
(/.f64 (tan.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))))))
(/.f64 (tan.f64 (/.f64 (.f64 (neg.f64 (.f64 x (.f64 x x))) #s(literal -1/2 binary64)) (.f64 (.f64 x x) y))) (sin.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))))
(/.f64 (/.f64 #s(literal 1 binary64) (sin.f64 (/.f64 x (.f64 y #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) (tan.f64 (/.f64 x (.f64 y #s(literal 2 binary64))))))
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (tan.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))))) (sin.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))))
(/.f64 (tan.f64 (.f64 (/.f64 #s(literal 1/2 binary64) y) (.f64 (.f64 x (neg.f64 x)) (/.f64 #s(literal -1 binary64) x)))) (sin.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))))
(/.f64 (tan.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 #s(literal -1 binary64) (.f64 (/.f64 y (.f64 (.f64 x x) #s(literal 1/2 binary64))) (neg.f64 x)))))
(/.f64 (tan.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 x y))) (sin.f64 (/.f64 (.f64 (/.f64 #s(literal -1/2 binary64) y) (neg.f64 (.f64 x x))) x)))
(/.f64 (tan.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 y (.f64 (*.f64 x x) #s(literal 1/2 binary64))))))
(/.f64 (tan.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 (.f64 (/.f64 #s(literal -1/2 binary64) y) (neg.f64 (.f64 x (.f64 x x)))) (*.f64 x x))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (tan.f64 (/.f64 x (.f64 y #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) (sin.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))))))
(/.f64 (tan.f64 (.f64 (/.f64 (neg.f64 x) (neg.f64 (.f64 (.f64 y #s(literal 2 binary64)) (.f64 #s(literal 4 binary64) (.f64 y y))))) (.f64 #s(literal 4 binary64) (.f64 y y)))) (sin.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))))
(/.f64 (tan.f64 (/.f64 (.f64 (neg.f64 (.f64 x (.f64 x (.f64 x x)))) (/.f64 #s(literal -1/2 binary64) (.f64 x y))) (.f64 x x))) (sin.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)))
(/.f64 (tan.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (/.f64 (neg.f64 (.f64 (.f64 y #s(literal 2 binary64)) (.f64 #s(literal 4 binary64) (.f64 y y)))) (neg.f64 (.f64 #s(literal 4 binary64) (*.f64 y y)))))))
(/.f64 (tan.f64 (.f64 (.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) x) (/.f64 (.f64 x x) (.f64 y #s(literal 2 binary64))))) (sin.f64 (/.f64 (.f64 (/.f64 #s(literal -1/2 binary64) y) (neg.f64 (*.f64 x x))) x)))
(/.f64 (tan.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 (-.f64 (.f64 #s(literal 0 binary64) (/.f64 (.f64 y #s(literal -2 binary64)) x)) (.f64 y #s(literal -2 binary64))) (.f64 (.f64 y #s(literal -2 binary64)) (/.f64 (*.f64 y #s(literal -2 binary64)) x)))))
(/.f64 (tan.f64 (/.f64 (-.f64 (.f64 #s(literal 0 binary64) (/.f64 (.f64 y #s(literal -2 binary64)) x)) (.f64 y #s(literal -2 binary64))) (.f64 (.f64 y #s(literal -2 binary64)) (/.f64 (.f64 y #s(literal -2 binary64)) x)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
(/.f64 (tan.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 (.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (/.f64 #s(literal 1/2 binary64) y)) (.f64 (.f64 x (.f64 x (*.f64 x x))) x))))
(/.f64 (tan.f64 (/.f64 (.f64 (neg.f64 (.f64 x (.f64 x (.f64 x x)))) (/.f64 #s(literal -1/2 binary64) (.f64 x y))) (.f64 x x))) (sin.f64 (/.f64 (.f64 (/.f64 #s(literal -1/2 binary64) y) (neg.f64 (.f64 x x))) x)))
(/.f64 (tan.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 (.f64 (neg.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))))) (/.f64 #s(literal -1/2 binary64) y)) (.f64 (.f64 x (.f64 x (*.f64 x x))) x))))
(/.f64 (tan.f64 (/.f64 (.f64 (neg.f64 x) (.f64 (/.f64 (.f64 x (.f64 x x)) x) (/.f64 #s(literal -1/2 binary64) y))) (.f64 x x))) (sin.f64 (/.f64 (.f64 (/.f64 #s(literal -1/2 binary64) y) (neg.f64 (*.f64 x x))) x)))
(pow.f64 (pow.f64 (cos.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) #s(literal -1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (pow.f64 (cos.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) #s(literal 4 binary64)) #s(literal -1/4 binary64))
(/.f64 (tan.f64 (/.f64 (.f64 (neg.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))))) (/.f64 #s(literal -1/2 binary64) (.f64 x y))) (.f64 x (.f64 x (.f64 x x))))) (sin.f64 (/.f64 (.f64 (/.f64 #s(literal -1/2 binary64) y) (neg.f64 (.f64 x x))) x)))
(exp.f64 (.f64 #s(literal -1 binary64) (log.f64 (cos.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))))))
(exp.f64 (.f64 (log.f64 (cos.f64 (/.f64 x (.f64 y #s(literal 2 binary64))))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x y))) #s(literal -1/2 binary64)) (pow.f64 #s(literal 1/2 binary64) #s(literal -1/2 binary64)))
(pow.f64 (pow.f64 (.f64 (cos.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) #s(approx (cos (/ x (* y 2))) #s(literal 1 binary64))) #s(literal -1/4 binary64)) #s(literal 2 binary64))
(pow.f64 (pow.f64 (.f64 (cos.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) #s(approx (cos (/ x (* y 2))) #s(literal 1 binary64))) #s(literal 2 binary64)) #s(literal -1/4 binary64))
(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x (exp.f64 (log.f64 (*.f64 y #s(literal 2 binary64)))))))
(/.f64 #s(literal 1 binary64) (cos.f64 (.f64 (pow.f64 y #s(literal -1/2 binary64)) (.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 y #s(literal -1/2 binary64))) x))))
(/.f64 #s(literal 1 binary64) (cos.f64 (exp.f64 (.f64 (log.f64 (/.f64 y (.f64 #s(literal 1/2 binary64) x))) #s(literal -1 binary64)))))
(/.f64 #s(literal 1 binary64) (cos.f64 (exp.f64 (.f64 (log.f64 (/.f64 (.f64 y #s(literal 2 binary64)) x)) #s(literal -1 binary64)))))

Outputs

(/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (pow.f64 (*.f64 y #s(literal 2 binary64)) #s(literal -1/2 binary64)) (*.f64 x #s(approx (pow (* y 2) -1/2) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) y))))))))

#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(literal 1 binary64))

Calls

2 calls:

94.0ms	(/.f64 x (*.f64 y #s(literal 2 binary64)))
81.0ms	(/.f64 (tan.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))))

Results

Accuracy	Segments	Branch
55.9%	2	`(/.f64 (tan.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))))`
56.3%	2	`(/.f64 x (*.f64 y #s(literal 2 binary64)))`

Compiler

Compiled 22 to 13 computations (40.9% saved)

regimes71.0ms (0.5%)

Memory

-5.6MiB live, 32.5MiB allocated

Counts

80 → 2

Calls

Call 1

Inputs
#s(approx (/ (tan (* (pow (* (* y 2) y) -1/2) (* x (pow 2 -1/2)))) (sin (/ x (* y 2)))) #s(literal -1 binary64))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) #s(approx (cos (/ x (* y 2))) #s(approx (+ (* (/ (* x x) (* y y)) -1/8) 1) (/.f64 (.f64 (.f64 x x) #s(literal -1/8 binary64)) (*.f64 y y)))))
(/.f64 #s(literal 1 binary64) #s(approx (cos (/ x (* y 2))) (fma.f64 x (.f64 x (/.f64 #s(literal -1/8 binary64) (.f64 y y))) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) #s(approx (cos (/ x (* y 2))) (fma.f64 (/.f64 (.f64 x x) (.f64 y y)) #s(literal -1/8 binary64) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) #s(approx (cos (/ x (* y 2))) #s(approx (+ (* (/ (* x x) (* y y)) -1/8) 1) (/.f64 (fma.f64 x (.f64 x #s(literal -1/8 binary64)) (.f64 y y)) (*.f64 y y)))))
(/.f64 #s(literal 1 binary64) #s(approx (cos (/ x (* y 2))) (fma.f64 (/.f64 x y) (/.f64 (*.f64 x #s(literal -1/8 binary64)) y) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) #s(approx (cos (/ x (* y 2))) (fma.f64 (/.f64 (*.f64 x x) y) (/.f64 #s(literal -1/8 binary64) y) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) #s(approx (cos (/ x (* y 2))) (fma.f64 (.f64 x x) (.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal -1/8 binary64) y)) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) #s(approx (cos (/ x (* y 2))) (fma.f64 (/.f64 #s(literal 1 binary64) y) (.f64 x (.f64 (/.f64 x y) #s(literal -1/8 binary64))) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) #s(approx (cos (/ x (* y 2))) (fma.f64 (/.f64 (/.f64 (neg.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))))) (neg.f64 (fma.f64 (.f64 x x) (.f64 x x) #s(literal 0 binary64)))) (.f64 y y)) #s(literal -1/8 binary64) #s(literal 1 binary64))))
#s(approx (/ (tan (/ x (* y 2))) (sin (* (pow (* y 2) -3/4) (* x (pow (* y 2) -1/4))))) (*.f64 #s(literal -1/2 binary64) (pow.f64 #s(literal 16 binary64) #s(literal 1/4 binary64))))
(/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)))
(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 y x))))
(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 (.f64 x x) (.f64 y (+.f64 x x)))))
(/.f64 #s(literal 1 binary64) (cos.f64 (.f64 (.f64 #s(literal 1/2 binary64) x) (/.f64 x (*.f64 x y)))))
(/.f64 #s(literal 1 binary64) (cos.f64 (.f64 (.f64 x x) (/.f64 #s(literal 1/2 binary64) (*.f64 y x)))))
(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 #s(literal -1 binary64) x) y))))
(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 #s(literal 1 binary64) (/.f64 y (*.f64 x #s(literal 1/2 binary64))))))
(/.f64 #s(literal 1 binary64) (cos.f64 (.f64 (neg.f64 x) (.f64 x (/.f64 #s(literal -1/2 binary64) (*.f64 x y))))))
(/.f64 #s(literal 1 binary64) (cos.f64 (.f64 (/.f64 #s(literal -1/2 binary64) (.f64 x y)) (*.f64 x (neg.f64 x)))))
(/.f64 #s(literal 1 binary64) (cos.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (/.f64 (.f64 x x) y) x))))
(/.f64 #s(literal 1 binary64) (cos.f64 (.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 (.f64 x x) x))))
(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 (.f64 x (/.f64 x (.f64 y #s(literal 2 binary64)))) x)))
(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 (/.f64 (.f64 x x) (.f64 y #s(literal 2 binary64))) x)))
(/.f64 #s(approx (tan (/ x (* y 2))) (/.f64 (.f64 x #s(literal 1/2 binary64)) y)) (sin.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))))
(/.f64 (tan.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) #s(approx (sin (/ x ( y 2))) (/.f64 (*.f64 x #s(literal 1/2 binary64)) y)))
(/.f64 (tan.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) #s(approx (sin (/ ( (/ -1/2 y) (neg (* x x))) x)) (/.f64 (*.f64 x #s(literal 1/2 binary64)) y)))
(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 2 binary64) x))))
(/.f64 #s(literal 1 binary64) (cos.f64 (.f64 (/.f64 #s(literal 1 binary64) x) (.f64 x (/.f64 x (*.f64 y #s(literal 2 binary64)))))))
(/.f64 #s(literal 1 binary64) (cos.f64 (.f64 (/.f64 x (.f64 y #s(literal -2 binary64))) (*.f64 x (/.f64 #s(literal -1 binary64) x)))))
(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 #s(literal 1 binary64) (/.f64 (.f64 y x) (.f64 (*.f64 x x) #s(literal 1/2 binary64))))))
(/.f64 #s(literal 1 binary64) (cos.f64 (.f64 (/.f64 #s(literal -1/2 binary64) (.f64 x (.f64 y x))) (neg.f64 (.f64 x (*.f64 x x))))))
(/.f64 #s(literal 1 binary64) (cos.f64 (.f64 (/.f64 #s(literal 1/2 binary64) y) (.f64 (*.f64 x (neg.f64 x)) (/.f64 #s(literal -1 binary64) x)))))
(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 #s(literal -1 binary64) (.f64 (/.f64 y (.f64 (*.f64 x x) #s(literal 1/2 binary64))) (neg.f64 x)))))
(/.f64 #s(literal 1 binary64) (cos.f64 (.f64 (.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) x) (/.f64 (.f64 x x) (*.f64 y #s(literal 2 binary64))))))
(/.f64 #s(literal 1 binary64) (cos.f64 (.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (.f64 x (/.f64 (.f64 x x) (*.f64 y #s(literal 2 binary64)))))))
(/.f64 #s(literal 1 binary64) (cos.f64 (.f64 (.f64 (/.f64 #s(literal -1/2 binary64) (.f64 x (.f64 y x))) (neg.f64 x)) (/.f64 (.f64 x (.f64 x x)) x))))
(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 (.f64 (neg.f64 (.f64 x (.f64 x (.f64 x x)))) (/.f64 #s(literal -1/2 binary64) (.f64 x y))) (.f64 x x))))
(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (.f64 #s(literal 1 binary64) (/.f64 y (.f64 x (.f64 (*.f64 x x) #s(literal 1/2 binary64))))))))
(/.f64 (tan.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) #s(approx (sin (/ x ( y 2))) (.f64 x (fma.f64 #s(literal -1/48 binary64) (/.f64 (.f64 x x) (.f64 y (.f64 y y))) (/.f64 #s(literal 1/2 binary64) y)))))
(/.f64 (tan.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) #s(approx (sin (/ x ( y 2))) (/.f64 (fma.f64 #s(literal -1/48 binary64) (/.f64 (.f64 x (.f64 x x)) (.f64 y y)) (.f64 x #s(literal 1/2 binary64))) y)))
(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 (.f64 (neg.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))))) (/.f64 #s(literal -1/2 binary64) (.f64 x y))) (.f64 x (.f64 x (.f64 x x))))))
(pow.f64 (fma.f64 (cos.f64 (/.f64 x y)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) #s(literal -1/2 binary64))
(pow.f64 (.f64 (cos.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) #s(approx (cos (/ x (* y 2))) #s(literal 1 binary64))) #s(literal -1/2 binary64))
(/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (/.f64 x y)) #s(literal 1/2 binary64)) #s(literal 1/2 binary64)))
(pow.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x y))))) #s(literal -1/2 binary64))
(/.f64 #s(literal 1 binary64) (cos.f64 #s(approx (* (* (pow y -1/8) (* (pow 2 -1/8) (pow (* y 2) -3/8))) (* x (pow (* y 2) -1/2))) (.f64 (pow.f64 #s(literal 1/16 binary64) #s(literal 1/8 binary64)) (/.f64 (.f64 x (sqrt.f64 #s(literal 1/2 binary64))) y)))))
(/.f64 (tan.f64 #s(approx (* (pow (* (* y 2) y) -1/2) (* x (pow 2 -1/2))) (/.f64 (.f64 x #s(literal -1/2 binary64)) y))) (sin.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))))
(/.f64 (tan.f64 (.f64 (/.f64 #s(literal 1/2 binary64) y) x)) (sin.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))))
(/.f64 (tan.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) (sin.f64 (.f64 (/.f64 #s(literal 1/2 binary64) y) x)))
(/.f64 (tan.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))))
(.f64 (/.f64 #s(literal 1 binary64) (sin.f64 (/.f64 x (.f64 y #s(literal 2 binary64))))) (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
(/.f64 (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (/.f64 (sin.f64 (/.f64 x y)) #s(literal 2 binary64)))
(/.f64 (tan.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 x y))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
(/.f64 (tan.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 y x))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 x y))))
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 y x))))
(/.f64 (tan.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 (.f64 x x) (*.f64 y (+.f64 x x)))))
(/.f64 (tan.f64 (/.f64 (.f64 x x) (.f64 y (+.f64 x x)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
(/.f64 (tan.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) (sin.f64 (.f64 (.f64 x x) (/.f64 #s(literal 1/2 binary64) (.f64 y x)))))
(/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) (tan.f64 (/.f64 x (.f64 y #s(literal 2 binary64))))))
(/.f64 (tan.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 #s(literal -1/2 binary64) (.f64 (/.f64 #s(literal -1 binary64) x) y))))
(/.f64 (tan.f64 (.f64 (neg.f64 x) (.f64 x (/.f64 #s(literal -1/2 binary64) (.f64 x y))))) (sin.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))))
(/.f64 (tan.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) (sin.f64 (.f64 (/.f64 #s(literal -1/2 binary64) (.f64 x y)) (.f64 x (neg.f64 x)))))
(/.f64 (tan.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 (.f64 (neg.f64 (.f64 x x)) #s(literal -1/2 binary64)) (.f64 x y))))
(/.f64 (tan.f64 (/.f64 (neg.f64 (.f64 x x)) (.f64 (.f64 y #s(literal -2 binary64)) x))) (sin.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal 1 binary64) (tan.f64 (/.f64 x (.f64 y #s(literal 2 binary64))))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))))
(/.f64 (tan.f64 (.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 (.f64 x x) y))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
(/.f64 (tan.f64 (.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 (.f64 x x) x))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
(/.f64 (tan.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) (sin.f64 (.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 (*.f64 x x) y))))
(/.f64 (tan.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 (.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))) x) x)))
(/.f64 (tan.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 (/.f64 (.f64 (*.f64 x x) #s(literal 1/2 binary64)) y) x)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (sin.f64 (/.f64 x y)) #s(literal 2 binary64)) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))))
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 2 binary64) x))))
(/.f64 (tan.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 2 binary64) x))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
(/.f64 (tan.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 (.f64 (/.f64 #s(literal -1/2 binary64) y) (neg.f64 (*.f64 x x))) x)))
(/.f64 (tan.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 (-.f64 #s(literal 0 binary64) (.f64 (.f64 y #s(literal -2 binary64)) x)) (.f64 #s(literal 4 binary64) (*.f64 y y)))))
(/.f64 (tan.f64 (/.f64 (.f64 (/.f64 #s(literal -1/2 binary64) y) (neg.f64 (.f64 x x))) x)) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))

Outputs
(/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(literal 1 binary64))

Calls

1 calls:

67.0ms

(/.f64 x (*.f64 y #s(literal 2 binary64)))

Results

Accuracy	Segments	Branch
56.2%	2	`(/.f64 x (*.f64 y #s(literal 2 binary64)))`

Compiler

Compiled 7 to 5 computations (28.6% saved)

regimes106.0ms (0.7%)

Memory

-3.1MiB live, 35.5MiB allocated

Counts

12 → 1

Calls

Call 1

Inputs
#s(approx (/ (tan (* (pow (* (* y 2) y) -1/2) (* x (pow 2 -1/2)))) (sin (/ x (* y 2)))) #s(literal -1 binary64))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) #s(approx (cos (/ x (* y 2))) #s(approx (+ (* (/ (* x x) (* y y)) -1/8) 1) (/.f64 (.f64 (.f64 x x) #s(literal -1/8 binary64)) (*.f64 y y)))))
(/.f64 #s(literal 1 binary64) #s(approx (cos (/ x (* y 2))) (fma.f64 x (.f64 x (/.f64 #s(literal -1/8 binary64) (.f64 y y))) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) #s(approx (cos (/ x (* y 2))) (fma.f64 (/.f64 (.f64 x x) (.f64 y y)) #s(literal -1/8 binary64) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) #s(approx (cos (/ x (* y 2))) #s(approx (+ (* (/ (* x x) (* y y)) -1/8) 1) (/.f64 (fma.f64 x (.f64 x #s(literal -1/8 binary64)) (.f64 y y)) (*.f64 y y)))))
(/.f64 #s(literal 1 binary64) #s(approx (cos (/ x (* y 2))) (fma.f64 (/.f64 x y) (/.f64 (*.f64 x #s(literal -1/8 binary64)) y) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) #s(approx (cos (/ x (* y 2))) (fma.f64 (/.f64 (*.f64 x x) y) (/.f64 #s(literal -1/8 binary64) y) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) #s(approx (cos (/ x (* y 2))) (fma.f64 (.f64 x x) (.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal -1/8 binary64) y)) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) #s(approx (cos (/ x (* y 2))) (fma.f64 (/.f64 #s(literal 1 binary64) y) (.f64 x (.f64 (/.f64 x y) #s(literal -1/8 binary64))) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) #s(approx (cos (/ x (* y 2))) (fma.f64 (/.f64 (/.f64 (neg.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))))) (neg.f64 (fma.f64 (.f64 x x) (.f64 x x) #s(literal 0 binary64)))) (.f64 y y)) #s(literal -1/8 binary64) #s(literal 1 binary64))))
#s(approx (/ (tan (/ x (* y 2))) (sin (* (pow (* y 2) -3/4) (* x (pow (* y 2) -1/4))))) (*.f64 #s(literal -1/2 binary64) (pow.f64 #s(literal 16 binary64) #s(literal 1/4 binary64))))

Outputs
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(literal 1 binary64))

Calls

5 calls:

88.0ms	y
4.0ms	(*.f64 y #s(literal 2 binary64))
4.0ms	x
4.0ms	(/.f64 x (*.f64 y #s(literal 2 binary64)))
4.0ms	(/.f64 (tan.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))))

Results

Accuracy	Segments	Branch
53.9%	1	`(/.f64 (tan.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))))`
53.9%	1	`y`
53.9%	1	`(*.f64 y #s(literal 2 binary64))`
53.9%	1	`x`
53.9%	1	`(/.f64 x (*.f64 y #s(literal 2 binary64)))`

Compiler

Compiled 33 to 21 computations (36.4% saved)

regimes9.0ms (0.1%)

Memory

-4.1MiB live, 34.0MiB allocated

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

Inputs
#s(approx (/ (tan (* (pow (* (* y 2) y) -1/2) (* x (pow 2 -1/2)))) (sin (/ x (* y 2)))) #s(literal -1 binary64))

Outputs
#s(approx (/ (tan (* (pow (* (* y 2) y) -1/2) (* x (pow 2 -1/2)))) (sin (/ x (* y 2)))) #s(literal -1 binary64))

Calls

5 calls:

3.0ms	x
1.0ms	(*.f64 y #s(literal 2 binary64))
1.0ms	y
1.0ms	(/.f64 (tan.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))))
1.0ms	(/.f64 x (*.f64 y #s(literal 2 binary64)))

Results

Accuracy	Segments	Branch
7.2%	1	`(/.f64 (tan.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))))`
7.2%	1	`x`
7.2%	1	`y`
7.2%	1	`(/.f64 x (*.f64 y #s(literal 2 binary64)))`
7.2%	1	`(*.f64 y #s(literal 2 binary64))`

Compiler

Compiled 33 to 21 computations (36.4% saved)

bsearch1.0ms (0%)

Memory

4.5MiB live, 4.4MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	5.836150159915819e+152	2.4173767687789487e+154

Compiler

Compiled 14 to 13 computations (7.1% saved)

bsearch1.0ms (0%)

Memory

3.3MiB live, 3.3MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	3.4183088747981323e+154	2.21788720409782e+155

Compiler

Compiled 14 to 13 computations (7.1% saved)

bsearch1.0ms (0%)

Memory

3.8MiB live, 3.8MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	1.102147258071903e+142	2.1880486305183262e+142

Compiler

Compiled 14 to 13 computations (7.1% saved)

bsearch1.0ms (0%)

Memory

2.4MiB live, 2.4MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	1.102147258071903e+142	2.1880486305183262e+142

Compiler

Compiled 14 to 13 computations (7.1% saved)

bsearch0.0ms (0%)

Memory

1.9MiB live, 1.9MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	8.224844649306315e+56	1.331779259000647e+60

Compiler

Compiled 14 to 13 computations (7.1% saved)

simplify11.0ms (0.1%)

Memory

-7.0MiB live, 37.1MiB allocated

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	72	243
1	87	243

Stop Event

1×

saturated

Calls

Call 1

Inputs
(if (<=.f64 (/.f64 x (.f64 y #s(literal 2 binary64))) #s(literal 999999999999999999733403004123153744855539019118436686285840188024369679522423761672919759564567158443669378824028710020392594094129030220133015859757056 binary64)) (/.f64 #s(literal 1 binary64) (cos.f64 (.f64 (.f64 (pow.f64 y #s(literal -1/8 binary64)) (.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/8 binary64)) (pow.f64 (.f64 y #s(literal 2 binary64)) #s(literal -3/8 binary64)))) (.f64 x (pow.f64 (.f64 y #s(literal 2 binary64)) #s(literal -1/2 binary64)))))) #s(approx (/ (tan (/ x ( y 2))) (sin (/ x (* y 2)))) #s(literal 1 binary64)))
(if (<=.f64 (/.f64 x (.f64 y #s(literal 2 binary64))) #s(literal 50000000000000000358811577045508415204030740594580155903356386073125330840244170064133303492288094665193286906648381068130040767114734612976366826838556672 binary64)) (/.f64 #s(literal 1 binary64) (cos.f64 (.f64 (pow.f64 (.f64 y #s(literal 2 binary64)) #s(literal -1/2 binary64)) (.f64 x (pow.f64 (exp.f64 (log.f64 (.f64 y #s(literal 2 binary64)))) #s(literal -1/2 binary64)))))) #s(approx (/ (tan (/ x ( y 2))) (sin (/ x (* y 2)))) #s(literal 1 binary64)))
(if (<=.f64 (/.f64 x (.f64 y #s(literal 2 binary64))) #s(literal 20000000000000001016445696805993759409582178897019679576898416057743923428824704540156776745107920382581920574891563668662589154296936754315264 binary64)) (/.f64 #s(literal 1 binary64) (cos.f64 (.f64 (pow.f64 (.f64 y #s(literal 2 binary64)) #s(literal -1/2 binary64)) (.f64 x (pow.f64 (.f64 y #s(literal 2 binary64)) #s(literal -1/2 binary64)))))) #s(approx (/ (tan (/ x ( y 2))) (sin (/ x (* y 2)))) #s(literal 1 binary64)))
(if (<=.f64 (/.f64 x (.f64 y #s(literal 2 binary64))) #s(literal 20000000000000001016445696805993759409582178897019679576898416057743923428824704540156776745107920382581920574891563668662589154296936754315264 binary64)) (/.f64 #s(literal 1 binary64) (cos.f64 (.f64 (pow.f64 (.f64 y #s(literal 2 binary64)) #s(literal -1/2 binary64)) (.f64 x #s(approx (pow (* y 2) -1/2) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))))))) #s(approx (/ (tan (/ x ( y 2))) (sin (/ x (* y 2)))) #s(literal 1 binary64)))
(if (<=.f64 (/.f64 x (.f64 y #s(literal 2 binary64))) #s(literal 1000000000000000048346692115553659057528394845890514255872 binary64)) (/.f64 #s(literal 1 binary64) (cos.f64 (.f64 (/.f64 #s(literal 1/2 binary64) y) x))) #s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(literal 1 binary64)))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(literal 1 binary64))
#s(approx (/ (tan (* (pow (* (* y 2) y) -1/2) (* x (pow 2 -1/2)))) (sin (/ x (* y 2)))) #s(literal -1 binary64))

Outputs
(if (<=.f64 (/.f64 x (.f64 y #s(literal 2 binary64))) #s(literal 999999999999999999733403004123153744855539019118436686285840188024369679522423761672919759564567158443669378824028710020392594094129030220133015859757056 binary64)) (/.f64 #s(literal 1 binary64) (cos.f64 (.f64 (.f64 (pow.f64 y #s(literal -1/8 binary64)) (.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/8 binary64)) (pow.f64 (.f64 y #s(literal 2 binary64)) #s(literal -3/8 binary64)))) (.f64 x (pow.f64 (.f64 y #s(literal 2 binary64)) #s(literal -1/2 binary64)))))) #s(approx (/ (tan (/ x ( y 2))) (sin (/ x (* y 2)))) #s(literal 1 binary64)))
(if (<=.f64 (/.f64 x (.f64 y #s(literal 2 binary64))) #s(literal 50000000000000000358811577045508415204030740594580155903356386073125330840244170064133303492288094665193286906648381068130040767114734612976366826838556672 binary64)) (/.f64 #s(literal 1 binary64) (cos.f64 (.f64 (pow.f64 (.f64 y #s(literal 2 binary64)) #s(literal -1/2 binary64)) (.f64 x (pow.f64 (exp.f64 (log.f64 (.f64 y #s(literal 2 binary64)))) #s(literal -1/2 binary64)))))) #s(approx (/ (tan (/ x ( y 2))) (sin (/ x (* y 2)))) #s(literal 1 binary64)))
(if (<=.f64 (/.f64 x (.f64 y #s(literal 2 binary64))) #s(literal 20000000000000001016445696805993759409582178897019679576898416057743923428824704540156776745107920382581920574891563668662589154296936754315264 binary64)) (/.f64 #s(literal 1 binary64) (cos.f64 (.f64 (pow.f64 (.f64 y #s(literal 2 binary64)) #s(literal -1/2 binary64)) (.f64 x (pow.f64 (.f64 y #s(literal 2 binary64)) #s(literal -1/2 binary64)))))) #s(approx (/ (tan (/ x ( y 2))) (sin (/ x (* y 2)))) #s(literal 1 binary64)))
(if (<=.f64 (/.f64 x (.f64 y #s(literal 2 binary64))) #s(literal 20000000000000001016445696805993759409582178897019679576898416057743923428824704540156776745107920382581920574891563668662589154296936754315264 binary64)) (/.f64 #s(literal 1 binary64) (cos.f64 (.f64 (pow.f64 (.f64 y #s(literal 2 binary64)) #s(literal -1/2 binary64)) (.f64 x #s(approx (pow (* y 2) -1/2) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))))))) #s(approx (/ (tan (/ x ( y 2))) (sin (/ x (* y 2)))) #s(literal 1 binary64)))
(if (<=.f64 (/.f64 x (.f64 y #s(literal 2 binary64))) #s(literal 1000000000000000048346692115553659057528394845890514255872 binary64)) (/.f64 #s(literal 1 binary64) (cos.f64 (.f64 (/.f64 #s(literal 1/2 binary64) y) x))) #s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(literal 1 binary64)))
(if (<=.f64 (/.f64 x (.f64 y #s(literal 2 binary64))) #s(literal 1000000000000000048346692115553659057528394845890514255872 binary64)) (/.f64 #s(literal 1 binary64) (cos.f64 (.f64 x (/.f64 #s(literal 1/2 binary64) y)))) #s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(literal 1 binary64)))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(literal 1 binary64))
#s(approx (/ (tan (* (pow (* (* y 2) y) -1/2) (* x (pow 2 -1/2)))) (sin (/ x (* y 2)))) #s(literal -1 binary64))

soundness1.2s (8.4%)

Memory

10.8MiB live, 985.0MiB allocated

Rules

14 468×	`lower-fma.f64`
14 468×	`lower-fma.f32`
10 890×	`lower-fma.f64`
10 890×	`lower-fma.f32`
10 292×	`lower-fma.f64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	31	177
0	52	146
1	152	143
2	839	110
3	7315	110
0	8476	109
0	8	33
0	13	33
1	33	33
2	142	28
3	788	28
0	8171	28
0	316	2054
1	950	2028
2	3388	1926
0	9111	1817
0	50	286
0	88	270
1	269	259
2	1372	177
0	8655	177
0	835	9771
1	2572	9226
0	8422	8844
0	720	9605
1	2197	8806
2	7928	8776
0	8213	8436

Stop Event

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

Compiler

Compiled 641 to 305 computations (52.4% saved)

preprocess135.0ms (0.9%)

Memory: 4.1MiB live, 293.7MiB allocated
Compiler: Compiled 524 to 252 computations (51.9% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

Iter	Nodes	Cost
0	22	75
1	52	67
2	106	65
3	177	65
4	260	65
5	433	65
6	544	65
7	584	65
8	603	65
9	616	65
0	8	13
0	13	13
1	16	13
2	18	13
0	18	13

Iter	Nodes	Cost
0	22	75
1	52	67
2	106	65
3	177	65
4	260	65
5	433	65
6	544	65
7	584	65
8	603	65
9	616	65
0	8	13
0	13	13
1	16	13
2	18	13
0	18	13

start0.0ms (0%)

analyze180.0ms (1.2%)

sample2.2s (14.8%)

explain172.0ms (1.2%)

preprocess27.0ms (0.2%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify4.0ms (0%)

localize76.0ms (0.5%)

series23.0ms (0.2%)

simplify335.0ms (2.3%)

rewrite340.0ms (2.3%)

eval123.0ms (0.8%)

prune273.0ms (1.8%)

simplify311.0ms (2.1%)

localize236.0ms (1.6%)

series78.0ms (0.5%)

simplify507.0ms (3.4%)

rewrite257.0ms (1.7%)

eval540.0ms (3.6%)

prune884.0ms (6%)

simplify145.0ms (1%)

localize314.0ms (2.1%)

series129.0ms (0.9%)

simplify435.0ms (2.9%)

rewrite316.0ms (2.1%)

eval1.0s (6.9%)

prune1.2s (8.4%)

simplify159.0ms (1.1%)

localize406.0ms (2.7%)

series205.0ms (1.4%)

simplify593.0ms (4%)

rewrite250.0ms (1.7%)

eval220.0ms (1.5%)

prune400.0ms (2.7%)

regimes486.0ms (3.3%)

regimes86.0ms (0.6%)

regimes90.0ms (0.6%)

regimes181.0ms (1.2%)

regimes71.0ms (0.5%)

regimes106.0ms (0.7%)

regimes9.0ms (0.1%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch0.0ms (0%)

simplify11.0ms (0.1%)

soundness1.2s (8.4%)

preprocess135.0ms (0.9%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	22	75
1	52	67
2	106	65
3	177	65
4	260	65
5	433	65
6	544	65
7	584	65
8	603	65
9	616	65
0	8	13
0	13	13
1	16	13
2	18	13
0	18	13