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

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated

analyze172.0ms (1.7%)

Memory

-15.6MiB live, 217.4MiB allocated

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	99.9%	0.1%	0%	0%	0%	0
0%	0%	99.9%	0.1%	0%	0%	0%	1
0%	0%	99.9%	0.1%	0%	0%	0%	2
0%	0%	99.9%	0.1%	0%	0%	0%	3
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)

sample2.0s (19.4%)

Memory

24.6MiB live, 1 413.3MiB allocated

Samples

1.3s	3 932×	1	valid
301.0ms	4 324×	0	valid

Precisions

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

ival-tan: 502.0ms (45.9% of total)

ival-div: 230.0ms (21.1% of total)

ival-sin: 179.0ms (16.4% of total)

ival-mult: 91.0ms (8.3% of total)

adjust: 75.0ms (6.9% of total)

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

exact: 5.0ms (0.5% of total)

ival-assert: 4.0ms (0.4% of total)

Bogosity

explain448.0ms (4.4%)

Memory

-23.7MiB live, 217.4MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
117	-	-	`(tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))`
117	-	-	`(sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))`
28	-	-	`(/.f64 (tan.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))))`
1	-	-	`(/.f64 x (*.f64 y #s(literal 2 binary64)))`
0	-	-	`y`
0	-	-	`#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	91	0
`tan.f64`	`(tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))`	sensitivity	91	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	28	0
↳	`(/.f64 x (*.f64 y #s(literal 2 binary64)))`	underflow	28
↳	`(tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))`	underflow	28
↳	`(/.f64 x (*.f64 y #s(literal 2 binary64)))`	underflow	28
↳	`(sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))`	underflow	28
`sin.f64`	`(sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))`	oflow-rescue	26	0
↳	`(/.f64 x (*.f64 y #s(literal 2 binary64)))`	overflow	26
↳	`(*.f64 y #s(literal 2 binary64))`	overflow	1
`tan.f64`	`(tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))`	oflow-rescue	26	0
↳	`(/.f64 x (*.f64 y #s(literal 2 binary64)))`	overflow	26
↳	`(*.f64 y #s(literal 2 binary64))`	overflow	1
`/.f64`	`(/.f64 x (*.f64 y #s(literal 2 binary64)))`	n/o	1	0
↳	`(*.f64 y #s(literal 2 binary64))`	overflow	1

Confusion

	Predicted +	Predicted -
+	146	0
-	0	110

Precision

1.0

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	146	0	0
-	0	0	110

Precision?

1.0

Recall?

1.0

Freqs

test

number	freq
0	110
1	29
2	117

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

48.0ms	232×	1	valid
47.0ms	280×	0	valid

Compiler

Compiled 125 to 36 computations (71.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 70.0ms

ival-div: 38.0ms (54.2% of total)

ival-sin: 13.0ms (18.5% of total)

ival-tan: 10.0ms (14.3% of total)

ival-mult: 4.0ms (5.7% of total)

adjust: 3.0ms (4.3% of total)

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

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

exact: 0.0ms (0% of total)

preprocess157.0ms (1.5%)

Memory

11.5MiB live, 170.8MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	22	75
1	51	67
2	122	65
3	227	65
4	435	65
5	849	65
6	1820	65
7	4068	65
0	8	13
0	13	13
1	21	13
2	35	13
3	53	13
4	78	13
5	124	13
6	196	13
7	423	13
8	993	13
9	2039	13
10	4361	13
11	7934	13
0	8194	13

Stop Event

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

Outputs

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

Symmetry

(abs y)

(abs x)

Compiler

Compiled 13 to 8 computations (38.5% saved)

eval0.0ms (0%)

Memory: 0.2MiB live, 0.2MiB allocated
Compiler: Compiled 0 to 2 computations (-∞% saved)

prune0.0ms (0%)

Memory

0.7MiB live, 0.7MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	47.8%	(/.f64 (tan.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))))

Compiler

Compiled 13 to 8 computations (38.5% saved)

simplify128.0ms (1.3%)

Memory

26.9MiB live, 145.4MiB 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)))))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	36
0	13	36
1	21	36
2	35	36
3	53	36
4	78	36
5	124	36
6	196	36
7	423	36
8	993	36
9	2039	36
10	4361	36
11	7934	36
0	8194	36

Stop Event

1×	iter limit
1×	node limit
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)))))
(/.f64 (tan.f64 (/.f64 (/.f64 x y) #s(literal -2 binary64))) (sin.f64 (/.f64 (/.f64 x y) #s(literal -2 binary64))))
(tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))
(tan.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y)))
(/.f64 x (*.f64 y #s(literal 2 binary64)))
(/.f64 x (*.f64 #s(literal 2 binary64) y))
x
(*.f64 y #s(literal 2 binary64))
(*.f64 #s(literal 2 binary64) y)
y
#s(literal 2 binary64)
(sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))
(sin.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y)))

localize65.0ms (0.6%)

Memory

-8.6MiB live, 67.4MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.238937041058704	(/.f64 x (*.f64 y #s(literal 2 binary64)))
accuracy	6.8985145294231085	(/.f64 (tan.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))))
accuracy	26.302783869361463	(sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))
accuracy	26.983589735723417	(tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))

Samples

49.0ms	116×	1	valid
9.0ms	140×	0	valid

Compiler

Compiled 74 to 18 computations (75.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 49.0ms

ival-sin: 35.0ms (72% of total)

ival-tan: 6.0ms (12.3% of total)

ival-div: 5.0ms (10.3% of total)

ival-mult: 2.0ms (4.1% of total)

adjust: 1.0ms (2.1% of total)

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

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

exact: 0.0ms (0% of total)

series31.0ms (0.3%)

Memory

0.4MiB live, 42.4MiB allocated

Counts

5 → 33

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
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))))))
(* 1/2 (/ 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))))
(* 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))))
(/ 1 (cos (* 1/2 (/ x y))))
(/ (sin (* 1/2 (/ x y))) (cos (* 1/2 (/ x y))))
(sin (* 1/2 (/ x y)))
(* 2 y)
(- (+ 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)))))))))
(/ (- (+ (* -1/48 (/ (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)
(/ (+ (* -1/48 (/ (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 (/ (- (* 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 (/ (- (+ (* -1/2 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 (/ (+ (* -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))

Calls

6 calls:

Time	Variable		Point	Expression
13.0ms	y	@	inf	((/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (tan (/ x (* y 2))) (/ x (* y 2)) (* y 2) (sin (/ x (* y 2))))
6.0ms	y	@	0	((/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (tan (/ x (* y 2))) (/ x (* y 2)) (* y 2) (sin (/ x (* y 2))))
4.0ms	y	@	-inf	((/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (tan (/ x (* y 2))) (/ x (* y 2)) (* y 2) (sin (/ x (* y 2))))
2.0ms	x	@	0	((/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (tan (/ x (* y 2))) (/ x (* y 2)) (* y 2) (sin (/ x (* y 2))))
2.0ms	x	@	-inf	((/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (tan (/ x (* y 2))) (/ x (* y 2)) (* y 2) (sin (/ x (* y 2))))

simplify193.0ms (1.9%)

Memory

-8.4MiB live, 215.8MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	316	1576
1	1006	1536
2	4033	1498
0	8680	1395

Stop Event

1×	iter limit
1×	node limit

Counts

33 → 33

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))))))
(* 1/2 (/ 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))))
(* 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))))
(/ 1 (cos (* 1/2 (/ x y))))
(/ (sin (* 1/2 (/ x y))) (cos (* 1/2 (/ x y))))
(sin (* 1/2 (/ x y)))
(* 2 y)
(- (+ 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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(/ (- (+ (* -1/48 (/ (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)
(/ (+ (* -1/48 (/ (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 (/ (- (* 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 (/ (- (+ (* -1/2 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 (/ (+ (* -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 #s(literal 1/8 binary64) y) (/.f64 (*.f64 x x) y) #s(literal 1 binary64))
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(+ 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))))))
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(* 1/2 (/ x y))
(*.f64 (/.f64 #s(literal 1/2 binary64) y) x)
(* x (+ (* 1/24 (/ (pow x 2) (pow y 3))) (* 1/2 (/ 1 y))))
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(/ (sin (* 1/2 (/ x y))) (cos (* 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)))) (+ (* -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)
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(/ (+ (* -1/48 (/ (pow x 3) (pow y 2))) (* 1/2 x)) y)
(.f64 (/.f64 (fma.f64 (/.f64 (.f64 x x) y) (/.f64 #s(literal -1/48 binary64) y) #s(literal 1/2 binary64)) y) x)
(/ (+ (* -1/48 (/ (pow x 3) (pow y 2))) (+ (* 1/3840 (/ (pow x 5) (pow y 4))) (* 1/2 x))) y)
(/.f64 (fma.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) y) (/.f64 #s(literal -1/48 binary64) y) (fma.f64 (/.f64 (pow.f64 x #s(literal 5 binary64)) (pow.f64 y #s(literal 4 binary64))) #s(literal 1/3840 binary64) (*.f64 #s(literal 1/2 binary64) 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)
(/.f64 (fma.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) y) (/.f64 #s(literal -1/48 binary64) 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 (/.f64 (pow.f64 x #s(literal 5 binary64)) (pow.f64 y #s(literal 4 binary64))) #s(literal 1/3840 binary64) (*.f64 #s(literal 1/2 binary64) x)))) y)
(- (+ 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 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 2 binary64) (/.f64 (.f64 #s(literal -1/24 binary64) (pow.f64 x #s(literal 3 binary64))) x) (.f64 #s(literal -1/24 binary64) (.f64 x x))) (.f64 y y)))
(- (+ 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))))))
(fma.f64 (/.f64 (fma.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) y) (/.f64 #s(literal -1/24 binary64) y) (/.f64 (-.f64 (.f64 #s(literal -1/3840 binary64) (pow.f64 x #s(literal 5 binary64))) (fma.f64 (.f64 #s(literal -1/8 binary64) (.f64 #s(literal -1/24 binary64) (pow.f64 x #s(literal 3 binary64)))) (.f64 x x) (.f64 #s(literal -1/768 binary64) (pow.f64 x #s(literal 5 binary64))))) (pow.f64 y #s(literal 4 binary64)))) x) #s(literal -2 binary64) (-.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (.f64 #s(literal -1/24 binary64) x) y) (/.f64 x y) (/.f64 (fma.f64 (.f64 #s(literal -1/24 binary64) (fma.f64 #s(literal 1/24 binary64) (.f64 x x) (.f64 (/.f64 (.f64 #s(literal -1/24 binary64) (pow.f64 x #s(literal 3 binary64))) x) #s(literal -2 binary64)))) (.f64 x x) (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/1920 binary64))) (pow.f64 y #s(literal 4 binary64))))))
(- (+ 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)))))))))
(-.f64 (fma.f64 #s(literal -2 binary64) (+.f64 (/.f64 (fma.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) y) (/.f64 #s(literal -1/24 binary64) y) (/.f64 (-.f64 (.f64 #s(literal 1/645120 binary64) (pow.f64 x #s(literal 7 binary64))) (fma.f64 (.f64 #s(literal -1/8 binary64) (.f64 x x)) (-.f64 (.f64 #s(literal -1/3840 binary64) (pow.f64 x #s(literal 5 binary64))) (fma.f64 (.f64 #s(literal -1/8 binary64) (.f64 #s(literal -1/24 binary64) (pow.f64 x #s(literal 3 binary64)))) (.f64 x x) (.f64 #s(literal -1/768 binary64) (pow.f64 x #s(literal 5 binary64))))) (fma.f64 (.f64 #s(literal 1/384 binary64) (.f64 #s(literal -1/24 binary64) (pow.f64 x #s(literal 3 binary64)))) (pow.f64 x #s(literal 4 binary64)) (.f64 #s(literal 1/92160 binary64) (pow.f64 x #s(literal 7 binary64)))))) (pow.f64 y #s(literal 6 binary64)))) x) (/.f64 (-.f64 (.f64 #s(literal -1/3840 binary64) (pow.f64 x #s(literal 5 binary64))) (fma.f64 (.f64 #s(literal -1/8 binary64) (.f64 #s(literal -1/24 binary64) (pow.f64 x #s(literal 3 binary64)))) (.f64 x x) (.f64 #s(literal -1/768 binary64) (pow.f64 x #s(literal 5 binary64))))) (.f64 (pow.f64 y #s(literal 4 binary64)) x))) #s(literal 1 binary64)) (fma.f64 (.f64 (-.f64 (fma.f64 (/.f64 (-.f64 (.f64 #s(literal -1/3840 binary64) (pow.f64 x #s(literal 5 binary64))) (fma.f64 (.f64 #s(literal -1/8 binary64) (.f64 #s(literal -1/24 binary64) (pow.f64 x #s(literal 3 binary64)))) (.f64 x x) (.f64 #s(literal -1/768 binary64) (pow.f64 x #s(literal 5 binary64))))) x) #s(literal -2 binary64) (.f64 (.f64 #s(literal 1/24 binary64) (.f64 x x)) (fma.f64 #s(literal 1/24 binary64) (.f64 x x) (.f64 (/.f64 (.f64 #s(literal -1/24 binary64) (pow.f64 x #s(literal 3 binary64))) x) #s(literal -2 binary64))))) (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/1920 binary64))) (.f64 x (/.f64 x (pow.f64 y #s(literal 6 binary64))))) #s(literal -1/24 binary64) (fma.f64 #s(literal -1/24 binary64) (fma.f64 (/.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 x x) (.f64 (/.f64 (.f64 #s(literal -1/24 binary64) (pow.f64 x #s(literal 3 binary64))) x) #s(literal -2 binary64))) (pow.f64 y #s(literal 4 binary64))) (.f64 x x) (.f64 (/.f64 x y) (/.f64 x y))) (fma.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) #s(literal 1/1920 binary64) (/.f64 (fma.f64 (.f64 #s(literal 1/1920 binary64) (fma.f64 #s(literal 1/24 binary64) (.f64 x x) (.f64 (/.f64 (.f64 #s(literal -1/24 binary64) (pow.f64 x #s(literal 3 binary64))) x) #s(literal -2 binary64)))) (pow.f64 x #s(literal 4 binary64)) (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -1/322560 binary64))) (pow.f64 y #s(literal 6 binary64)))))))
(* -1 (/ (- (+ (* -1/2 x) (* 1/48 (/ (pow x 3) (pow y 2)))) (* 1/16 (/ (pow x 3) (pow y 2)))) y))
(/.f64 (fma.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) y) (/.f64 #s(literal -1/24 binary64) y) (*.f64 #s(literal -1/2 binary64) x)) (neg.f64 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))
(/.f64 (-.f64 (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 #s(literal 1/48 binary64) y) (/.f64 (pow.f64 x #s(literal 3 binary64)) y) (.f64 #s(literal -1/2 binary64) x))) (fma.f64 (/.f64 #s(literal 1/16 binary64) y) (/.f64 (pow.f64 x #s(literal 3 binary64)) y) (/.f64 (fma.f64 (.f64 #s(literal -1/8 binary64) (.f64 #s(literal -1/24 binary64) (pow.f64 x #s(literal 3 binary64)))) (.f64 x x) (*.f64 #s(literal -1/768 binary64) (pow.f64 x #s(literal 5 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)))))) (+ (* -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))
(/.f64 (-.f64 (fma.f64 #s(literal -1/2 binary64) x (fma.f64 (pow.f64 x #s(literal 7 binary64)) (/.f64 #s(literal 1/645120 binary64) (pow.f64 y #s(literal 6 binary64))) (fma.f64 (/.f64 #s(literal 1/48 binary64) y) (/.f64 (pow.f64 x #s(literal 3 binary64)) y) (.f64 (pow.f64 x #s(literal 5 binary64)) (/.f64 #s(literal -1/3840 binary64) (pow.f64 y #s(literal 4 binary64))))))) (fma.f64 (.f64 #s(literal -1/8 binary64) (.f64 x x)) (/.f64 (-.f64 (.f64 #s(literal -1/3840 binary64) (pow.f64 x #s(literal 5 binary64))) (fma.f64 (.f64 #s(literal -1/8 binary64) (.f64 #s(literal -1/24 binary64) (pow.f64 x #s(literal 3 binary64)))) (.f64 x x) (.f64 #s(literal -1/768 binary64) (pow.f64 x #s(literal 5 binary64))))) (pow.f64 y #s(literal 6 binary64))) (+.f64 (/.f64 (fma.f64 (.f64 #s(literal -1/8 binary64) (.f64 #s(literal -1/24 binary64) (pow.f64 x #s(literal 3 binary64)))) (.f64 x x) (.f64 #s(literal -1/768 binary64) (pow.f64 x #s(literal 5 binary64)))) (pow.f64 y #s(literal 4 binary64))) (fma.f64 (/.f64 #s(literal 1/16 binary64) y) (/.f64 (pow.f64 x #s(literal 3 binary64)) y) (/.f64 (fma.f64 (.f64 #s(literal 1/384 binary64) (.f64 #s(literal -1/24 binary64) (pow.f64 x #s(literal 3 binary64)))) (pow.f64 x #s(literal 4 binary64)) (*.f64 #s(literal 1/92160 binary64) (pow.f64 x #s(literal 7 binary64)))) (pow.f64 y #s(literal 6 binary64))))))) (neg.f64 y))
(* -1 (/ (+ (* -1/2 x) (* 1/48 (/ (pow x 3) (pow y 2)))) y))
(.f64 (/.f64 (fma.f64 (/.f64 (.f64 x x) y) (/.f64 #s(literal -1/48 binary64) y) #s(literal 1/2 binary64)) y) x)
(* -1 (/ (+ (* -1/2 x) (+ (* -1/3840 (/ (pow x 5) (pow y 4))) (* 1/48 (/ (pow x 3) (pow y 2))))) y))
(/.f64 (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 #s(literal 1/48 binary64) y) (/.f64 (pow.f64 x #s(literal 3 binary64)) y) (*.f64 #s(literal -1/2 binary64) x))) (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 #s(literal -1/2 binary64) x (fma.f64 (pow.f64 x #s(literal 7 binary64)) (/.f64 #s(literal 1/645120 binary64) (pow.f64 y #s(literal 6 binary64))) (fma.f64 (/.f64 #s(literal 1/48 binary64) y) (/.f64 (pow.f64 x #s(literal 3 binary64)) y) (*.f64 (pow.f64 x #s(literal 5 binary64)) (/.f64 #s(literal -1/3840 binary64) (pow.f64 y #s(literal 4 binary64))))))) (neg.f64 y))

rewrite128.0ms (1.3%)

Memory

6.7MiB live, 122.1MiB allocated

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	8	33
0	13	17
1	29	17
2	118	17
3	824	7
0	10401	7

Stop Event

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

Counts

5 → 15

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
#s(literal 0 binary64)
#s(literal 0 binary64)
(/.f64 (/.f64 x #s(literal -2 binary64)) (neg.f64 y))
(/.f64 (/.f64 x #s(literal -2 binary64)) y)
(/.f64 (/.f64 x #s(literal 2 binary64)) (neg.f64 y))
(/.f64 (/.f64 x #s(literal 2 binary64)) y)
(/.f64 (/.f64 (neg.f64 x) y) #s(literal -2 binary64))
(/.f64 (/.f64 (neg.f64 x) y) #s(literal 2 binary64))
(/.f64 (/.f64 x y) #s(literal -2 binary64))
(/.f64 (/.f64 x y) #s(literal 2 binary64))
(/.f64 (neg.f64 x) #s(literal 0 binary64))
(/.f64 x #s(literal 0 binary64))
(neg.f64 (/.f64 x #s(literal 0 binary64)))
#s(literal 0 binary64)
#s(literal 0 binary64)

eval8.0ms (0.1%)

Memory: 14.4MiB live, 14.4MiB allocated
Compiler: Compiled 2 105 to 381 computations (81.9% saved)

prune7.0ms (0.1%)

Memory

11.8MiB live, 11.8MiB allocated

Pruning

10 alts after pruning (9 fresh and 1 done)

	Pruned	Kept	Total
New	46	9	55
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	46	10	56

Accuracy

63.7%

Counts

56 → 10

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	4.1%	(/.f64 (tan.f64 (/.f64 (/.f64 x y) #s(literal -2 binary64))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
✓	47.8%	(/.f64 (tan.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))))
▶	40.1%	(/.f64 (tan.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) #s(approx (sin (/ x ( y 2))) (.f64 (/.f64 (fma.f64 (/.f64 (.f64 x x) y) (/.f64 #s(literal -1/48 binary64) y) #s(literal 1/2 binary64)) y) x)))
	47.5%	(/.f64 (tan.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) #s(approx (sin (/ x ( y 2))) (sin.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x))))
	47.4%	(/.f64 #s(approx (tan (/ x (* y 2))) (/.f64 (sin.f64 (.f64 (/.f64 #s(literal 1/2 binary64) y) x)) (cos.f64 (.f64 (/.f64 #s(literal 1/2 binary64) y) x)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
	43.8%	(/.f64 #s(approx (tan (/ x (* y 2))) (.f64 (/.f64 #s(literal 1/2 binary64) y) x)) (sin.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))))
▶	51.1%	#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (fma.f64 (/.f64 #s(literal 1/8 binary64) y) (/.f64 (*.f64 x x) y) #s(literal 1 binary64)))
▶	59.2%	#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x))))
	58.9%	#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(literal 1 binary64))
▶	3.1%	#s(literal 0 binary64)

Compiler

Compiled 351 to 254 computations (27.6% saved)

simplify110.0ms (1.1%)

Memory

-32.9MiB live, 132.0MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 16 expressions of interest:

New	Metric	Score
cost-diff	0	(/.f64 x y)
cost-diff	0	(/.f64 (/.f64 x y) #s(literal -2 binary64))
cost-diff	0	(tan.f64 (/.f64 (/.f64 x y) #s(literal -2 binary64)))
cost-diff	0	(/.f64 (tan.f64 (/.f64 (/.f64 x y) #s(literal -2 binary64))) (sin.f64 (/.f64 x (*.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)))) #s(approx (sin (/ x ( y 2))) (.f64 (/.f64 (fma.f64 (/.f64 (.f64 x x) y) (/.f64 #s(literal -1/48 binary64) y) #s(literal 1/2 binary64)) y) x)))
cost-diff	2	(.f64 (/.f64 (fma.f64 (/.f64 (.f64 x x) y) (/.f64 #s(literal -1/48 binary64) y) #s(literal 1/2 binary64)) y) x)
cost-diff	0	(/.f64 (*.f64 x x) y)
cost-diff	0	(/.f64 #s(literal 1/8 binary64) y)
cost-diff	0	(fma.f64 (/.f64 #s(literal 1/8 binary64) y) (/.f64 (*.f64 x x) y) #s(literal 1 binary64))
cost-diff	0	#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (fma.f64 (/.f64 #s(literal 1/8 binary64) y) (/.f64 (*.f64 x x) y) #s(literal 1 binary64)))
cost-diff	0	(*.f64 (/.f64 #s(literal 1/2 binary64) y) x)
cost-diff	0	(cos.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x))
cost-diff	0	(/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)))
cost-diff	0	#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x))))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	38	258
0	63	258
1	104	258
2	217	258
3	621	258
4	1964	255
5	4586	255
6	7550	255
0	8158	252

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)))) (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x))))
(/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)))
#s(literal 1 binary64)
(cos.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x))
(*.f64 (/.f64 #s(literal 1/2 binary64) y) x)
(/.f64 #s(literal 1/2 binary64) y)
#s(literal 1/2 binary64)
y
x
#s(literal 0 binary64)
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (fma.f64 (/.f64 #s(literal 1/8 binary64) y) (/.f64 (*.f64 x x) y) #s(literal 1 binary64)))
(fma.f64 (/.f64 #s(literal 1/8 binary64) y) (/.f64 (*.f64 x x) y) #s(literal 1 binary64))
(/.f64 #s(literal 1/8 binary64) y)
#s(literal 1/8 binary64)
y
(/.f64 (*.f64 x x) y)
(*.f64 x x)
x
#s(literal 1 binary64)
(/.f64 (tan.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) #s(approx (sin (/ x ( y 2))) (.f64 (/.f64 (fma.f64 (/.f64 (.f64 x x) y) (/.f64 #s(literal -1/48 binary64) y) #s(literal 1/2 binary64)) y) 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)
#s(approx (sin (/ x (* y 2))) (.f64 (/.f64 (fma.f64 (/.f64 (.f64 x x) y) (/.f64 #s(literal -1/48 binary64) y) #s(literal 1/2 binary64)) y) x))
(.f64 (/.f64 (fma.f64 (/.f64 (.f64 x x) y) (/.f64 #s(literal -1/48 binary64) y) #s(literal 1/2 binary64)) y) x)
(/.f64 (fma.f64 (/.f64 (*.f64 x x) y) (/.f64 #s(literal -1/48 binary64) y) #s(literal 1/2 binary64)) y)
(fma.f64 (/.f64 (*.f64 x x) y) (/.f64 #s(literal -1/48 binary64) y) #s(literal 1/2 binary64))
(/.f64 (*.f64 x x) y)
(*.f64 x x)
(/.f64 #s(literal -1/48 binary64) y)
#s(literal -1/48 binary64)
#s(literal 1/2 binary64)
(/.f64 (tan.f64 (/.f64 (/.f64 x y) #s(literal -2 binary64))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
(tan.f64 (/.f64 (/.f64 x y) #s(literal -2 binary64)))
(/.f64 (/.f64 x y) #s(literal -2 binary64))
(/.f64 x y)
x
y
#s(literal -2 binary64)
(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)

Outputs
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.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)))) (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y)))))
(/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)))
(/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y))))
#s(literal 1 binary64)
(cos.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x))
(cos.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y)))
(*.f64 (/.f64 #s(literal 1/2 binary64) y) x)
(/.f64 #s(literal 1/2 binary64) y)
#s(literal 1/2 binary64)
y
x
#s(literal 0 binary64)
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (fma.f64 (/.f64 #s(literal 1/8 binary64) y) (/.f64 (*.f64 x x) y) #s(literal 1 binary64)))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (fma.f64 (/.f64 (*.f64 x x) y) (/.f64 #s(literal 1/8 binary64) y) #s(literal 1 binary64)))
(fma.f64 (/.f64 #s(literal 1/8 binary64) y) (/.f64 (*.f64 x x) y) #s(literal 1 binary64))
(fma.f64 (/.f64 (*.f64 x x) y) (/.f64 #s(literal 1/8 binary64) y) #s(literal 1 binary64))
(/.f64 #s(literal 1/8 binary64) y)
#s(literal 1/8 binary64)
y
(/.f64 (*.f64 x x) y)
(*.f64 x x)
x
#s(literal 1 binary64)
(/.f64 (tan.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) #s(approx (sin (/ x ( y 2))) (.f64 (/.f64 (fma.f64 (/.f64 (.f64 x x) y) (/.f64 #s(literal -1/48 binary64) y) #s(literal 1/2 binary64)) y) x)))
(/.f64 (tan.f64 (/.f64 x (.f64 #s(literal 2 binary64) y))) #s(approx (sin (/ x ( y 2))) (fma.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)) #s(literal -1/48 binary64) (*.f64 (/.f64 #s(literal 1/2 binary64) y) x))))
(tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))
(tan.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y)))
(/.f64 x (*.f64 y #s(literal 2 binary64)))
(/.f64 x (*.f64 #s(literal 2 binary64) y))
x
(*.f64 y #s(literal 2 binary64))
(*.f64 #s(literal 2 binary64) y)
y
#s(literal 2 binary64)
#s(approx (sin (/ x (* y 2))) (.f64 (/.f64 (fma.f64 (/.f64 (.f64 x x) y) (/.f64 #s(literal -1/48 binary64) y) #s(literal 1/2 binary64)) y) x))
#s(approx (sin (/ x (* y 2))) (fma.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)) #s(literal -1/48 binary64) (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)))
(.f64 (/.f64 (fma.f64 (/.f64 (.f64 x x) y) (/.f64 #s(literal -1/48 binary64) y) #s(literal 1/2 binary64)) y) x)
(fma.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)) #s(literal -1/48 binary64) (*.f64 (/.f64 #s(literal 1/2 binary64) y) x))
(/.f64 (fma.f64 (/.f64 (*.f64 x x) y) (/.f64 #s(literal -1/48 binary64) y) #s(literal 1/2 binary64)) y)
(/.f64 (fma.f64 (/.f64 #s(literal -1/48 binary64) y) (/.f64 (*.f64 x x) y) #s(literal 1/2 binary64)) y)
(fma.f64 (/.f64 (*.f64 x x) y) (/.f64 #s(literal -1/48 binary64) y) #s(literal 1/2 binary64))
(fma.f64 (/.f64 #s(literal -1/48 binary64) y) (/.f64 (*.f64 x x) y) #s(literal 1/2 binary64))
(/.f64 (*.f64 x x) y)
(*.f64 x x)
(/.f64 #s(literal -1/48 binary64) y)
#s(literal -1/48 binary64)
#s(literal 1/2 binary64)
(/.f64 (tan.f64 (/.f64 (/.f64 x y) #s(literal -2 binary64))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
(/.f64 (tan.f64 (/.f64 (/.f64 x y) #s(literal -2 binary64))) (sin.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y))))
(tan.f64 (/.f64 (/.f64 x y) #s(literal -2 binary64)))
(/.f64 (/.f64 x y) #s(literal -2 binary64))
(/.f64 x y)
x
y
#s(literal -2 binary64)
(sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))
(sin.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y)))
(/.f64 x (*.f64 y #s(literal 2 binary64)))
(/.f64 x (*.f64 #s(literal 2 binary64) y))
(*.f64 y #s(literal 2 binary64))
(*.f64 #s(literal 2 binary64) y)
#s(literal 2 binary64)

localize143.0ms (1.4%)

Memory

21.0MiB live, 176.7MiB allocated

Localize:

Found 16 expressions of interest:

New	Metric	Score
accuracy	0.238937041058704	(/.f64 x (*.f64 y #s(literal 2 binary64)))
accuracy	7.071715706472062	(/.f64 (tan.f64 (/.f64 (/.f64 x y) #s(literal -2 binary64))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
accuracy	26.302783869361463	(sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))
accuracy	26.99591924411502	(tan.f64 (/.f64 (/.f64 x y) #s(literal -2 binary64)))
accuracy	6.8985145294231085	(/.f64 (tan.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) #s(approx (sin (/ x ( y 2))) (.f64 (/.f64 (fma.f64 (/.f64 (.f64 x x) y) (/.f64 #s(literal -1/48 binary64) y) #s(literal 1/2 binary64)) y) x)))
accuracy	8.776930367614973	(/.f64 (*.f64 x x) y)
accuracy	26.983589735723417	(tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))
accuracy	28.586700752608884	#s(approx (sin (/ x (* y 2))) (.f64 (/.f64 (fma.f64 (/.f64 (.f64 x x) y) (/.f64 #s(literal -1/48 binary64) y) #s(literal 1/2 binary64)) y) x))
accuracy	0.0	(*.f64 x x)
accuracy	1.4594118870423876	(fma.f64 (/.f64 #s(literal 1/8 binary64) y) (/.f64 (*.f64 x x) y) #s(literal 1 binary64))
accuracy	8.776930367614973	(/.f64 (*.f64 x x) y)
accuracy	28.670141566923444	#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (fma.f64 (/.f64 #s(literal 1/8 binary64) y) (/.f64 (*.f64 x x) y) #s(literal 1 binary64)))
accuracy	0.0	#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x))))
accuracy	0.109375	(/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)))
accuracy	0.20047628162065376	(*.f64 (/.f64 #s(literal 1/2 binary64) y) x)
accuracy	26.107853517260914	(cos.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x))

Samples

72.0ms	116×	1	valid
45.0ms	140×	0	valid

Compiler

Compiled 472 to 73 computations (84.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 91.0ms

ival-div: 24.0ms (26.3% of total)

ival-mult: 19.0ms (20.8% of total)

ival-sin: 14.0ms (15.3% of total)

ival-tan: 11.0ms (12% of total)

ival-cos: 6.0ms (6.6% of total)

ival-add: 6.0ms (6.6% of total)

const: 5.0ms (5.5% of total)

adjust: 4.0ms (4.4% of total)

exact: 1.0ms (1.1% of total)

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

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

series47.0ms (0.5%)

Memory

6.3MiB live, 43.8MiB allocated

Counts

19 → 73

Calls

Call 1

Inputs
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x))))
(/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)))
(cos.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x))
(*.f64 (/.f64 #s(literal 1/2 binary64) y) x)
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (fma.f64 (/.f64 #s(literal 1/8 binary64) y) (/.f64 (*.f64 x x) y) #s(literal 1 binary64)))
(fma.f64 (/.f64 #s(literal 1/8 binary64) y) (/.f64 (*.f64 x x) y) #s(literal 1 binary64))
(/.f64 #s(literal 1/8 binary64) y)
(/.f64 (*.f64 x x) y)
(.f64 (/.f64 (fma.f64 (/.f64 (.f64 x x) y) (/.f64 #s(literal -1/48 binary64) y) #s(literal 1/2 binary64)) y) x)
(/.f64 (tan.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) #s(approx (sin (/ x ( y 2))) (.f64 (/.f64 (fma.f64 (/.f64 (.f64 x x) y) (/.f64 #s(literal -1/48 binary64) y) #s(literal 1/2 binary64)) y) x)))
(tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))
(/.f64 x (*.f64 y #s(literal 2 binary64)))
(/.f64 (tan.f64 (/.f64 (/.f64 x y) #s(literal -2 binary64))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
(tan.f64 (/.f64 (/.f64 x y) #s(literal -2 binary64)))
(/.f64 (/.f64 x y) #s(literal -2 binary64))
(/.f64 x y)
(*.f64 x x)
#s(approx (sin (/ x (* y 2))) (.f64 (/.f64 (fma.f64 (/.f64 (.f64 x x) y) (/.f64 #s(literal -1/48 binary64) y) #s(literal 1/2 binary64)) y) x))
(sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))

Outputs
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 (* -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))))))
(* 1/2 (/ x y))
(/ (pow x 2) y)
(* x (+ (* -1/48 (/ (pow x 2) (pow y 3))) (* 1/2 (/ 1 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))))
-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)
(* -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))))
(/ x y)
(pow x 2)
(* 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))))
(/ 1 (cos (* 1/2 (/ x y))))
(cos (* 1/2 (/ x y)))
(* 1/8 (/ (pow x 2) (pow y 2)))
(* (pow x 2) (+ (/ 1 (pow x 2)) (* 1/8 (/ 1 (pow y 2)))))
(* -1/48 (/ (pow x 3) (pow y 3)))
(* (pow x 3) (- (* 1/2 (/ 1 (* (pow x 2) y))) (* 1/48 (/ 1 (pow y 3)))))
(/ (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)))))
(/ (sin (* -1/2 (/ x y))) (cos (* -1/2 (/ x y))))
(sin (* 1/2 (/ x y)))
(* -1 (* (pow x 3) (- (* 1/48 (/ 1 (pow y 3))) (* 1/2 (/ 1 (* (pow x 2) y))))))
(/ (+ (* 1/8 (pow x 2)) (pow y 2)) (pow y 2))
(/ 1/8 y)
(/ (+ (* -1/48 (pow x 3)) (* 1/2 (* x (pow y 2)))) (pow y 3))
(- (+ 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 (/ (+ (* -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 (+ (* -1/8 (/ (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))))))
(/ (+ (* -1/48 (/ (pow x 3) (pow y 2))) (* 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)
(- (* 2 (/ (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3))) (* x (pow y 2)))) (+ 1 (* 1/24 (/ (pow x 2) (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)))) (* 2 (/ (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3))) (* x (pow y 2))))) (+ 1 (+ (* -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))) (+ (* -1/1920 (/ (pow x 4) (pow y 4))) (* 1/24 (/ (pow x 2) (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)))) (+ (* 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 (+ (* -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))) (+ (* -1/1920 (/ (pow x 4) (pow y 4))) (+ (* 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))) (* 1/24 (/ (pow x 2) (pow y 2))))))))))
(/ (- (+ (* -1/2 x) (* 1/48 (/ (pow x 3) (pow y 2)))) (* 1/16 (/ (pow x 3) (pow y 2)))) y)
(/ (- (+ (* -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)
(/ (- (+ (* -1/2 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)
(/ (+ (* -1/48 (/ (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 (/ (- (* 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 (/ (+ (* -1/2 x) (* 1/48 (/ (pow x 3) (pow y 2)))) 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))
(- (* -2 (/ (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3))) (* x (pow y 2)))) (+ 1 (* 1/24 (/ (pow x 2) (pow y 2)))))
(- (+ (* -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 (+ (* -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))) (+ (* -1/1920 (/ (pow x 4) (pow y 4))) (* 1/24 (/ (pow x 2) (pow y 2)))))))
(- (+ (* -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 (+ (* -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))) (+ (* -1/1920 (/ (pow x 4) (pow y 4))) (+ (* 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))) (* 1/24 (/ (pow x 2) (pow y 2))))))))))
(* -1 (/ (- (+ (* -1/48 (/ (pow x 3) (pow y 2))) (* 1/2 x)) (* -1/16 (/ (pow x 3) (pow y 2)))) y))
(* -1 (/ (- (+ (* -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 (/ (- (+ (* -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 (/ (+ (* -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))

Calls

6 calls:

Time	Variable		Point	Expression
19.0ms	y	@	0	((/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/ 1 (cos (* (/ 1/2 y) x))) (cos (* (/ 1/2 y) x)) (* (/ 1/2 y) x) (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (+ (* (/ 1/8 y) (/ (* x x) y)) 1) (/ 1/8 y) (/ (* x x) y) (* (/ (+ (* (/ (* x x) y) (/ -1/48 y)) 1/2) y) x) (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (tan (/ x (* y 2))) (/ x (* y 2)) (/ (tan (/ (/ x y) -2)) (sin (/ x (* y 2)))) (tan (/ (/ x y) -2)) (/ (/ x y) -2) (/ x y) (* x x) (sin (/ x (* y 2))) (sin (/ x (* y 2))))
7.0ms	x	@	inf	((/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/ 1 (cos (* (/ 1/2 y) x))) (cos (* (/ 1/2 y) x)) (* (/ 1/2 y) x) (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (+ (* (/ 1/8 y) (/ (* x x) y)) 1) (/ 1/8 y) (/ (* x x) y) (* (/ (+ (* (/ (* x x) y) (/ -1/48 y)) 1/2) y) x) (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (tan (/ x (* y 2))) (/ x (* y 2)) (/ (tan (/ (/ x y) -2)) (sin (/ x (* y 2)))) (tan (/ (/ x y) -2)) (/ (/ x y) -2) (/ x y) (* x x) (sin (/ x (* y 2))) (sin (/ x (* y 2))))
6.0ms	y	@	inf	((/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/ 1 (cos (* (/ 1/2 y) x))) (cos (* (/ 1/2 y) x)) (* (/ 1/2 y) x) (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (+ (* (/ 1/8 y) (/ (* x x) y)) 1) (/ 1/8 y) (/ (* x x) y) (* (/ (+ (* (/ (* x x) y) (/ -1/48 y)) 1/2) y) x) (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (tan (/ x (* y 2))) (/ x (* y 2)) (/ (tan (/ (/ x y) -2)) (sin (/ x (* y 2)))) (tan (/ (/ x y) -2)) (/ (/ x y) -2) (/ x y) (* x x) (sin (/ x (* y 2))) (sin (/ x (* y 2))))
5.0ms	y	@	-inf	((/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/ 1 (cos (* (/ 1/2 y) x))) (cos (* (/ 1/2 y) x)) (* (/ 1/2 y) x) (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (+ (* (/ 1/8 y) (/ (* x x) y)) 1) (/ 1/8 y) (/ (* x x) y) (* (/ (+ (* (/ (* x x) y) (/ -1/48 y)) 1/2) y) x) (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (tan (/ x (* y 2))) (/ x (* y 2)) (/ (tan (/ (/ x y) -2)) (sin (/ x (* y 2)))) (tan (/ (/ x y) -2)) (/ (/ x y) -2) (/ x y) (* x x) (sin (/ x (* y 2))) (sin (/ x (* y 2))))
4.0ms	x	@	0	((/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/ 1 (cos (* (/ 1/2 y) x))) (cos (* (/ 1/2 y) x)) (* (/ 1/2 y) x) (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (+ (* (/ 1/8 y) (/ (* x x) y)) 1) (/ 1/8 y) (/ (* x x) y) (* (/ (+ (* (/ (* x x) y) (/ -1/48 y)) 1/2) y) x) (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (tan (/ x (* y 2))) (/ x (* y 2)) (/ (tan (/ (/ x y) -2)) (sin (/ x (* y 2)))) (tan (/ (/ x y) -2)) (/ (/ x y) -2) (/ x y) (* x x) (sin (/ x (* y 2))) (sin (/ x (* y 2))))

simplify239.0ms (2.3%)

Memory

15.6MiB live, 295.3MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	491	3227
1	1540	3093
2	6130	3035
0	8235	2843

Stop Event

1×	iter limit
1×	node limit

Counts

73 → 73

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 (* -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))))))
(* 1/2 (/ x y))
(/ (pow x 2) y)
(* x (+ (* -1/48 (/ (pow x 2) (pow y 3))) (* 1/2 (/ 1 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))))
-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)
(* -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))))
(/ x y)
(pow x 2)
(* 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))))
(/ 1 (cos (* 1/2 (/ x y))))
(cos (* 1/2 (/ x y)))
(* 1/8 (/ (pow x 2) (pow y 2)))
(* (pow x 2) (+ (/ 1 (pow x 2)) (* 1/8 (/ 1 (pow y 2)))))
(* -1/48 (/ (pow x 3) (pow y 3)))
(* (pow x 3) (- (* 1/2 (/ 1 (* (pow x 2) y))) (* 1/48 (/ 1 (pow y 3)))))
(/ (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)))))
(/ (sin (* -1/2 (/ x y))) (cos (* -1/2 (/ x y))))
(sin (* 1/2 (/ x y)))
(* -1 (* (pow x 3) (- (* 1/48 (/ 1 (pow y 3))) (* 1/2 (/ 1 (* (pow x 2) y))))))
(/ (+ (* 1/8 (pow x 2)) (pow y 2)) (pow y 2))
(/ 1/8 y)
(/ (+ (* -1/48 (pow x 3)) (* 1/2 (* x (pow y 2)))) (pow y 3))
(- (+ 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 (/ (+ (* -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 (+ (* -1/8 (/ (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))))))
(/ (+ (* -1/48 (/ (pow x 3) (pow y 2))) (* 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)
(- (* 2 (/ (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3))) (* x (pow y 2)))) (+ 1 (* 1/24 (/ (pow x 2) (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)))) (* 2 (/ (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3))) (* x (pow y 2))))) (+ 1 (+ (* -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))) (+ (* -1/1920 (/ (pow x 4) (pow y 4))) (* 1/24 (/ (pow x 2) (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)))) (+ (* 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 (+ (* -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))) (+ (* -1/1920 (/ (pow x 4) (pow y 4))) (+ (* 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))) (* 1/24 (/ (pow x 2) (pow y 2))))))))))
(/ (- (+ (* -1/2 x) (* 1/48 (/ (pow x 3) (pow y 2)))) (* 1/16 (/ (pow x 3) (pow y 2)))) y)
(/ (- (+ (* -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)
(/ (- (+ (* -1/2 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)
(/ (+ (* -1/48 (/ (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 (/ (- (* 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 (/ (+ (* -1/2 x) (* 1/48 (/ (pow x 3) (pow y 2)))) 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))
(- (* -2 (/ (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3))) (* x (pow y 2)))) (+ 1 (* 1/24 (/ (pow x 2) (pow y 2)))))
(- (+ (* -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 (+ (* -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))) (+ (* -1/1920 (/ (pow x 4) (pow y 4))) (* 1/24 (/ (pow x 2) (pow y 2)))))))
(- (+ (* -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 (+ (* -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))) (+ (* -1/1920 (/ (pow x 4) (pow y 4))) (+ (* 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))) (* 1/24 (/ (pow x 2) (pow y 2))))))))))
(* -1 (/ (- (+ (* -1/48 (/ (pow x 3) (pow y 2))) (* 1/2 x)) (* -1/16 (/ (pow x 3) (pow y 2)))) y))
(* -1 (/ (- (+ (* -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 (/ (- (+ (* -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 (/ (+ (* -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 (*.f64 #s(literal 1/8 binary64) x) y) (/.f64 x y) #s(literal 1 binary64))
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(fma.f64 (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))) (*.f64 x x) #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 (fma.f64 (fma.f64 (.f64 x (/.f64 x (pow.f64 y #s(literal 6 binary64)))) #s(literal 61/46080 binary64) (/.f64 #s(literal 5/384 binary64) (pow.f64 y #s(literal 4 binary64)))) (.f64 x x) (/.f64 #s(literal 1/8 binary64) (.f64 y y))) (.f64 x x) #s(literal 1 binary64))
(+ 1 (* -1/8 (/ (pow x 2) (pow y 2))))
(fma.f64 (/.f64 (*.f64 #s(literal -1/8 binary64) x) y) (/.f64 x y) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (- (* 1/384 (/ (pow x 2) (pow y 4))) (* 1/8 (/ 1 (pow y 2))))))
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(+ 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))))))
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/46080 binary64) (.f64 x (/.f64 x (pow.f64 y #s(literal 6 binary64)))) (/.f64 #s(literal 1/384 binary64) (pow.f64 y #s(literal 4 binary64)))) (.f64 x x) (/.f64 #s(literal -1/8 binary64) (.f64 y y))) (.f64 x x) #s(literal 1 binary64))
(* 1/2 (/ x y))
(*.f64 (/.f64 x y) #s(literal 1/2 binary64))
(/ (pow x 2) y)
(*.f64 x (/.f64 x y))
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(* 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))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (fma.f64 (.f64 x (/.f64 x (pow.f64 y #s(literal 7 binary64)))) #s(literal 17/40320 binary64) (/.f64 #s(literal 1/240 binary64) (pow.f64 y #s(literal 5 binary64)))) (.f64 x x) (/.f64 #s(literal 1/24 binary64) (pow.f64 y #s(literal 3 binary64)))) (*.f64 (/.f64 x y) #s(literal 1/2 binary64)))
-1
#s(literal -1 binary64)
(- (* -1/8 (/ (pow x 2) (pow y 2))) 1)
(-.f64 (.f64 (/.f64 (.f64 #s(literal -1/8 binary64) x) y) (/.f64 x y)) #s(literal 1 binary64))
(- (* (pow x 2) (- (* -5/384 (/ (pow x 2) (pow y 4))) (* 1/8 (/ 1 (pow y 2))))) 1)
(-.f64 (.f64 (fma.f64 #s(literal -5/384 binary64) (.f64 x (/.f64 x (pow.f64 y #s(literal 4 binary64)))) (/.f64 #s(literal -1/8 binary64) (.f64 y y))) (.f64 x x)) #s(literal 1 binary64))
(- (* (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)
(-.f64 (.f64 (fma.f64 (fma.f64 #s(literal -61/46080 binary64) (.f64 x (/.f64 x (pow.f64 y #s(literal 6 binary64)))) (/.f64 #s(literal -5/384 binary64) (pow.f64 y #s(literal 4 binary64)))) (.f64 x x) (/.f64 #s(literal -1/8 binary64) (.f64 y y))) (*.f64 x x)) #s(literal 1 binary64))
(* -1/2 (/ x y))
(*.f64 #s(literal -1/2 binary64) (/.f64 x y))
(* x (- (* -1/24 (/ (pow x 2) (pow y 3))) (* 1/2 (/ 1 y))))
(.f64 (/.f64 (fma.f64 (/.f64 #s(literal -1/24 binary64) y) (.f64 x (/.f64 x y)) #s(literal -1/2 binary64)) y) x)
(* x (- (* (pow x 2) (- (* -1/240 (/ (pow x 2) (pow y 5))) (* 1/24 (/ 1 (pow y 3))))) (* 1/2 (/ 1 y))))
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(* 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))))
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(/ x y)
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(* x (+ (* (pow x 2) (- (* 1/3840 (/ (pow x 2) (pow y 5))) (* 1/48 (/ 1 (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))))
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(/ 1 (cos (* 1/2 (/ x y))))
(/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y))))
(cos (* 1/2 (/ x y)))
(cos.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y)))
(* 1/8 (/ (pow x 2) (pow y 2)))
(.f64 (/.f64 (.f64 #s(literal 1/8 binary64) x) y) (/.f64 x y))
(* (pow x 2) (+ (/ 1 (pow x 2)) (* 1/8 (/ 1 (pow y 2)))))
(fma.f64 (/.f64 (*.f64 #s(literal 1/8 binary64) x) y) (/.f64 x y) #s(literal 1 binary64))
(* -1/48 (/ (pow x 3) (pow y 3)))
(*.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)) #s(literal -1/48 binary64))
(* (pow x 3) (- (* 1/2 (/ 1 (* (pow x 2) y))) (* 1/48 (/ 1 (pow y 3)))))
(.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (.f64 (*.f64 x x) y)) (/.f64 #s(literal 1/48 binary64) (pow.f64 y #s(literal 3 binary64)))) (pow.f64 x #s(literal 3 binary64)))
(/ (sin (* 1/2 (/ x y))) (cos (* 1/2 (/ x y))))
(/.f64 (sin.f64 (.f64 (/.f64 x y) #s(literal 1/2 binary64))) (cos.f64 (.f64 #s(literal -1/2 binary64) (/.f64 x y))))
(/ (sin (* -1/2 (/ x y))) (* (cos (* -1/2 (/ x y))) (sin (* 1/2 (/ x y)))))
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(* -1 (* (pow x 3) (- (* 1/48 (/ 1 (pow y 3))) (* 1/2 (/ 1 (* (pow x 2) y))))))
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(/ (+ (* 1/8 (pow x 2)) (pow y 2)) (pow y 2))
(fma.f64 (/.f64 (*.f64 #s(literal 1/8 binary64) x) y) (/.f64 x y) #s(literal 1 binary64))
(/ 1/8 y)
(/.f64 #s(literal 1/8 binary64) y)
(/ (+ (* -1/48 (pow x 3)) (* 1/2 (* x (pow y 2)))) (pow y 3))
(fma.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)) #s(literal -1/48 binary64) (.f64 (.f64 (/.f64 x y) #s(literal 1/2 binary64)) #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))))
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(- (+ 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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(neg.f64 (-.f64 (/.f64 (fma.f64 #s(literal -1/3840 binary64) (/.f64 (pow.f64 x #s(literal 5 binary64)) (pow.f64 y #s(literal 4 binary64))) (.f64 #s(literal -1/2 binary64) x)) y) (.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)) #s(literal -1/48 binary64))))
(* -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 #s(literal -1/2 binary64) x (fma.f64 (pow.f64 x #s(literal 7 binary64)) (/.f64 #s(literal 1/645120 binary64) (pow.f64 y #s(literal 6 binary64))) (fma.f64 (/.f64 #s(literal 1/48 binary64) y) (/.f64 (pow.f64 x #s(literal 3 binary64)) y) (*.f64 (pow.f64 x #s(literal 5 binary64)) (/.f64 #s(literal -1/3840 binary64) (pow.f64 y #s(literal 4 binary64))))))) (neg.f64 y))

rewrite138.0ms (1.3%)

Memory

-12.0MiB live, 182.7MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	37	193
0	62	193
1	174	193
2	943	193
0	8445	193

Stop Event

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

Counts

19 → 275

Calls

Call 1

Inputs
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x))))
(/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)))
(cos.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x))
(*.f64 (/.f64 #s(literal 1/2 binary64) y) x)
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (fma.f64 (/.f64 #s(literal 1/8 binary64) y) (/.f64 (*.f64 x x) y) #s(literal 1 binary64)))
(fma.f64 (/.f64 #s(literal 1/8 binary64) y) (/.f64 (*.f64 x x) y) #s(literal 1 binary64))
(/.f64 #s(literal 1/8 binary64) y)
(/.f64 (*.f64 x x) y)
(.f64 (/.f64 (fma.f64 (/.f64 (.f64 x x) y) (/.f64 #s(literal -1/48 binary64) y) #s(literal 1/2 binary64)) y) x)
(/.f64 (tan.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) #s(approx (sin (/ x ( y 2))) (.f64 (/.f64 (fma.f64 (/.f64 (.f64 x x) y) (/.f64 #s(literal -1/48 binary64) y) #s(literal 1/2 binary64)) y) x)))
(tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))
(/.f64 x (*.f64 y #s(literal 2 binary64)))
(/.f64 (tan.f64 (/.f64 (/.f64 x y) #s(literal -2 binary64))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
(tan.f64 (/.f64 (/.f64 x y) #s(literal -2 binary64)))
(/.f64 (/.f64 x y) #s(literal -2 binary64))
(/.f64 x y)
(*.f64 x x)
#s(approx (sin (/ x (* y 2))) (.f64 (/.f64 (fma.f64 (/.f64 (.f64 x x) y) (/.f64 #s(literal -1/48 binary64) y) #s(literal 1/2 binary64)) y) x))
(sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))

Outputs
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y))) #s(literal -1 binary64)))
(.f64 (neg.f64 (pow.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) (/.f64 x y))) #s(literal -1/2 binary64))) (neg.f64 (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y))) #s(literal -1/2 binary64))))
(.f64 (fabs.f64 (pow.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) (/.f64 x y))) #s(literal -1/2 binary64))) (fabs.f64 (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y))) #s(literal -1/2 binary64))))
(.f64 (pow.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) (/.f64 x y))) #s(literal -1/2 binary64)) (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y))) #s(literal -1/2 binary64)))
(pow.f64 (exp.f64 (log.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y))))) #s(literal -1 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))
(pow.f64 (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y))) #s(literal -1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y))) #s(literal -1 binary64))
(/.f64 #s(literal -1 binary64) (cos.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 x y) (PI.f64))))
(/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y))))
(neg.f64 (/.f64 #s(literal -1 binary64) (cos.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y)))))
(exp.f64 (.f64 (log.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) (/.f64 x y)))) #s(literal -1 binary64)))
(+.f64 (cosh.f64 (.f64 (log.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) (/.f64 x y)))) #s(literal -1 binary64))) (sinh.f64 (.f64 (log.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) (/.f64 x y)))) #s(literal -1 binary64))))
(/.f64 (-.f64 (.f64 (.f64 (sin.f64 (.f64 (/.f64 #s(literal 1/2 binary64) y) x)) #s(literal 0 binary64)) (.f64 (sin.f64 (.f64 (/.f64 #s(literal 1/2 binary64) y) x)) #s(literal 0 binary64))) (.f64 (.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) (/.f64 x y))) #s(literal 1 binary64)) (.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) (/.f64 x y))) #s(literal 1 binary64)))) (-.f64 (.f64 (sin.f64 (.f64 (/.f64 #s(literal 1/2 binary64) y) x)) #s(literal 0 binary64)) (.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) (/.f64 x y))) #s(literal 1 binary64))))
(/.f64 (+.f64 (pow.f64 (.f64 (sin.f64 (.f64 (/.f64 #s(literal 1/2 binary64) y) x)) #s(literal 0 binary64)) #s(literal 3 binary64)) (pow.f64 (.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) (/.f64 x y))) #s(literal 1 binary64)) #s(literal 3 binary64))) (fma.f64 (.f64 (sin.f64 (.f64 (/.f64 #s(literal 1/2 binary64) y) x)) #s(literal 0 binary64)) (.f64 (sin.f64 (.f64 (/.f64 #s(literal 1/2 binary64) y) x)) #s(literal 0 binary64)) (-.f64 (.f64 (.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) (/.f64 x y))) #s(literal 1 binary64)) (.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) (/.f64 x y))) #s(literal 1 binary64))) (.f64 (.f64 (sin.f64 (.f64 (/.f64 #s(literal 1/2 binary64) y) x)) #s(literal 0 binary64)) (.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) (/.f64 x y))) #s(literal 1 binary64))))))
(neg.f64 (cos.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 x y) (PI.f64))))
(fma.f64 (sin.f64 (.f64 #s(literal -1/2 binary64) (/.f64 x y))) #s(literal 0 binary64) (.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y))) #s(literal 1 binary64)))
(fma.f64 (sin.f64 (.f64 (/.f64 #s(literal 1/2 binary64) y) x)) #s(literal 0 binary64) (.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y))) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) (cos.f64 (.f64 #s(literal -1/2 binary64) (/.f64 x y))) (.f64 #s(literal 0 binary64) (sin.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x))))
(sin.f64 (neg.f64 (neg.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) y) x (/.f64 (PI.f64) #s(literal 2 binary64))))))
(sin.f64 (neg.f64 (+.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) y) x (/.f64 (PI.f64) #s(literal 2 binary64))) (PI.f64))))
(sin.f64 (+.f64 (neg.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) y) x (/.f64 (PI.f64) #s(literal 2 binary64)))) (PI.f64)))
(sin.f64 (+.f64 (+.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) y) x (/.f64 (PI.f64) #s(literal 2 binary64))) (PI.f64)) (PI.f64)))
(sin.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 x y) (/.f64 (PI.f64) #s(literal 2 binary64))))
(sin.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) y) x (/.f64 (PI.f64) #s(literal 2 binary64))))
(-.f64 (.f64 (sin.f64 (.f64 (/.f64 #s(literal 1/2 binary64) y) x)) #s(literal 0 binary64)) (*.f64 (cos.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 x y) (PI.f64))) #s(literal 1 binary64)))
(cos.f64 (+.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 x y) (PI.f64)) (PI.f64)))
(cos.f64 (+.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) y) x (PI.f64)) (PI.f64)))
(cos.f64 (+.f64 (+.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) y) x (/.f64 (PI.f64) #s(literal 2 binary64))) (/.f64 (PI.f64) #s(literal 2 binary64))) (PI.f64)))
(cos.f64 (+.f64 (neg.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) y) x (/.f64 (PI.f64) #s(literal 2 binary64)))) (/.f64 (PI.f64) #s(literal 2 binary64))))
(cos.f64 (+.f64 (+.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) y) x (/.f64 (PI.f64) #s(literal 2 binary64))) (PI.f64)) (/.f64 (PI.f64) #s(literal 2 binary64))))
(cos.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y)))
(cos.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x))
(+.f64 (.f64 (sin.f64 (.f64 #s(literal -1/2 binary64) (/.f64 x y))) #s(literal 0 binary64)) (.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) (/.f64 x y))) #s(literal 1 binary64)))
(+.f64 (.f64 #s(literal 1 binary64) (cos.f64 (.f64 #s(literal -1/2 binary64) (/.f64 x y)))) (.f64 #s(literal 0 binary64) (sin.f64 (.f64 (/.f64 #s(literal 1/2 binary64) y) x))))
(+.f64 (.f64 (sin.f64 (.f64 (/.f64 #s(literal 1/2 binary64) y) x)) #s(literal 0 binary64)) (.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) (/.f64 x y))) #s(literal 1 binary64)))
(*.f64 (/.f64 #s(literal -1/2 binary64) y) (neg.f64 x))
(*.f64 (neg.f64 x) (/.f64 #s(literal -1/2 binary64) y))
(*.f64 (/.f64 #s(literal 1/2 binary64) y) x)
(*.f64 #s(literal 1/2 binary64) (/.f64 x y))
(*.f64 x (/.f64 #s(literal 1/2 binary64) y))
(/.f64 (neg.f64 (*.f64 #s(literal -1/2 binary64) x)) y)
(/.f64 (*.f64 #s(literal -1/2 binary64) x) (neg.f64 y))
(/.f64 (*.f64 #s(literal 1/2 binary64) x) y)
(neg.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y)))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (fma.f64 (/.f64 (*.f64 x x) y) (/.f64 #s(literal 1/8 binary64) y) #s(literal 1 binary64)))
(.f64 (fma.f64 (/.f64 (.f64 x x) y) (/.f64 #s(literal 1/8 binary64) y) #s(literal 1 binary64)) #s(literal 1 binary64))
(/.f64 (-.f64 (.f64 (/.f64 (.f64 #s(literal 1/64 binary64) (pow.f64 (/.f64 (/.f64 (.f64 x x) y) y) #s(literal 2 binary64))) (-.f64 (.f64 (/.f64 (.f64 #s(literal 1/8 binary64) x) y) (/.f64 x y)) #s(literal 1 binary64))) (/.f64 (.f64 #s(literal 1/64 binary64) (pow.f64 (/.f64 (/.f64 (.f64 x x) y) y) #s(literal 2 binary64))) (-.f64 (.f64 (/.f64 (.f64 #s(literal 1/8 binary64) x) y) (/.f64 x y)) #s(literal 1 binary64)))) (.f64 (pow.f64 (-.f64 (.f64 (/.f64 (.f64 #s(literal 1/8 binary64) x) y) (/.f64 x y)) #s(literal 1 binary64)) #s(literal -1 binary64)) (pow.f64 (-.f64 (.f64 (/.f64 (.f64 #s(literal 1/8 binary64) x) y) (/.f64 x y)) #s(literal 1 binary64)) #s(literal -1 binary64)))) (+.f64 (/.f64 (.f64 #s(literal 1/64 binary64) (pow.f64 (/.f64 (/.f64 (.f64 x x) y) y) #s(literal 2 binary64))) (-.f64 (.f64 (/.f64 (.f64 #s(literal 1/8 binary64) x) y) (/.f64 x y)) #s(literal 1 binary64))) (pow.f64 (-.f64 (.f64 (/.f64 (.f64 #s(literal 1/8 binary64) x) y) (/.f64 x y)) #s(literal 1 binary64)) #s(literal -1 binary64))))
(/.f64 (-.f64 (.f64 (/.f64 (.f64 #s(literal 1/512 binary64) (pow.f64 (/.f64 (/.f64 (.f64 x x) y) y) #s(literal 3 binary64))) (fma.f64 #s(literal 1/64 binary64) (pow.f64 (/.f64 (/.f64 (.f64 x x) y) y) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (.f64 (/.f64 (.f64 #s(literal 1/8 binary64) x) y) (/.f64 x y))))) (/.f64 (.f64 #s(literal 1/512 binary64) (pow.f64 (/.f64 (/.f64 (.f64 x x) y) y) #s(literal 3 binary64))) (fma.f64 #s(literal 1/64 binary64) (pow.f64 (/.f64 (/.f64 (.f64 x x) y) y) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (.f64 (/.f64 (.f64 #s(literal 1/8 binary64) x) y) (/.f64 x y)))))) (.f64 (pow.f64 (fma.f64 #s(literal 1/64 binary64) (pow.f64 (/.f64 (/.f64 (.f64 x x) y) y) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (.f64 (/.f64 (.f64 #s(literal 1/8 binary64) x) y) (/.f64 x y)))) #s(literal -1 binary64)) (pow.f64 (fma.f64 #s(literal 1/64 binary64) (pow.f64 (/.f64 (/.f64 (.f64 x x) y) y) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (.f64 (/.f64 (.f64 #s(literal 1/8 binary64) x) y) (/.f64 x y)))) #s(literal -1 binary64)))) (-.f64 (/.f64 (.f64 #s(literal 1/512 binary64) (pow.f64 (/.f64 (/.f64 (.f64 x x) y) y) #s(literal 3 binary64))) (fma.f64 #s(literal 1/64 binary64) (pow.f64 (/.f64 (/.f64 (.f64 x x) y) y) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (.f64 (/.f64 (.f64 #s(literal 1/8 binary64) x) y) (/.f64 x y))))) (pow.f64 (fma.f64 #s(literal 1/64 binary64) (pow.f64 (/.f64 (/.f64 (.f64 x x) y) y) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (.f64 (/.f64 (.f64 #s(literal 1/8 binary64) x) y) (/.f64 x y)))) #s(literal -1 binary64))))
(/.f64 (-.f64 (pow.f64 (/.f64 (.f64 #s(literal 1/64 binary64) (pow.f64 (/.f64 (/.f64 (.f64 x x) y) y) #s(literal 2 binary64))) (-.f64 (.f64 (/.f64 (.f64 #s(literal 1/8 binary64) x) y) (/.f64 x y)) #s(literal 1 binary64))) #s(literal 3 binary64)) (pow.f64 (pow.f64 (-.f64 (.f64 (/.f64 (.f64 #s(literal 1/8 binary64) x) y) (/.f64 x y)) #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal 3 binary64))) (fma.f64 (/.f64 (.f64 #s(literal 1/64 binary64) (pow.f64 (/.f64 (/.f64 (.f64 x x) y) y) #s(literal 2 binary64))) (-.f64 (.f64 (/.f64 (.f64 #s(literal 1/8 binary64) x) y) (/.f64 x y)) #s(literal 1 binary64))) (/.f64 (.f64 #s(literal 1/64 binary64) (pow.f64 (/.f64 (/.f64 (.f64 x x) y) y) #s(literal 2 binary64))) (-.f64 (.f64 (/.f64 (.f64 #s(literal 1/8 binary64) x) y) (/.f64 x y)) #s(literal 1 binary64))) (fma.f64 (pow.f64 (-.f64 (.f64 (/.f64 (.f64 #s(literal 1/8 binary64) x) y) (/.f64 x y)) #s(literal 1 binary64)) #s(literal -1 binary64)) (pow.f64 (-.f64 (.f64 (/.f64 (.f64 #s(literal 1/8 binary64) x) y) (/.f64 x y)) #s(literal 1 binary64)) #s(literal -1 binary64)) (.f64 (/.f64 (.f64 #s(literal 1/64 binary64) (pow.f64 (/.f64 (/.f64 (.f64 x x) y) y) #s(literal 2 binary64))) (-.f64 (.f64 (/.f64 (.f64 #s(literal 1/8 binary64) x) y) (/.f64 x y)) #s(literal 1 binary64))) (pow.f64 (-.f64 (.f64 (/.f64 (*.f64 #s(literal 1/8 binary64) x) y) (/.f64 x y)) #s(literal 1 binary64)) #s(literal -1 binary64))))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 (.f64 (/.f64 #s(literal -1/8 binary64) y) x) (/.f64 x y)) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (pow.f64 (.f64 (/.f64 (.f64 x x) y) #s(literal 1/8 binary64)) #s(literal 2 binary64)) (.f64 (.f64 x x) #s(literal 1/8 binary64))) (*.f64 y y))))
(/.f64 (+.f64 (pow.f64 (/.f64 (.f64 #s(literal 1/512 binary64) (pow.f64 (/.f64 (/.f64 (.f64 x x) y) y) #s(literal 3 binary64))) (fma.f64 #s(literal 1/64 binary64) (pow.f64 (/.f64 (/.f64 (.f64 x x) y) y) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (.f64 (/.f64 (.f64 #s(literal 1/8 binary64) x) y) (/.f64 x y))))) #s(literal 3 binary64)) (pow.f64 (pow.f64 (fma.f64 #s(literal 1/64 binary64) (pow.f64 (/.f64 (/.f64 (.f64 x x) y) y) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (.f64 (/.f64 (.f64 #s(literal 1/8 binary64) x) y) (/.f64 x y)))) #s(literal -1 binary64)) #s(literal 3 binary64))) (fma.f64 (/.f64 (.f64 #s(literal 1/512 binary64) (pow.f64 (/.f64 (/.f64 (.f64 x x) y) y) #s(literal 3 binary64))) (fma.f64 #s(literal 1/64 binary64) (pow.f64 (/.f64 (/.f64 (.f64 x x) y) y) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (.f64 (/.f64 (.f64 #s(literal 1/8 binary64) x) y) (/.f64 x y))))) (/.f64 (.f64 #s(literal 1/512 binary64) (pow.f64 (/.f64 (/.f64 (.f64 x x) y) y) #s(literal 3 binary64))) (fma.f64 #s(literal 1/64 binary64) (pow.f64 (/.f64 (/.f64 (.f64 x x) y) y) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (.f64 (/.f64 (.f64 #s(literal 1/8 binary64) x) y) (/.f64 x y))))) (-.f64 (.f64 (pow.f64 (fma.f64 #s(literal 1/64 binary64) (pow.f64 (/.f64 (/.f64 (.f64 x x) y) y) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (.f64 (/.f64 (.f64 #s(literal 1/8 binary64) x) y) (/.f64 x y)))) #s(literal -1 binary64)) (pow.f64 (fma.f64 #s(literal 1/64 binary64) (pow.f64 (/.f64 (/.f64 (.f64 x x) y) y) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (.f64 (/.f64 (.f64 #s(literal 1/8 binary64) x) y) (/.f64 x y)))) #s(literal -1 binary64))) (.f64 (/.f64 (.f64 #s(literal 1/512 binary64) (pow.f64 (/.f64 (/.f64 (.f64 x x) y) y) #s(literal 3 binary64))) (fma.f64 #s(literal 1/64 binary64) (pow.f64 (/.f64 (/.f64 (.f64 x x) y) y) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (.f64 (/.f64 (.f64 #s(literal 1/8 binary64) x) y) (/.f64 x y))))) (pow.f64 (fma.f64 #s(literal 1/64 binary64) (pow.f64 (/.f64 (/.f64 (.f64 x x) y) y) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (.f64 (/.f64 (.f64 #s(literal 1/8 binary64) x) y) (/.f64 x y)))) #s(literal -1 binary64))))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 1/64 binary64) (pow.f64 (/.f64 (/.f64 (.f64 x x) y) y) #s(literal 2 binary64))))) (neg.f64 (-.f64 #s(literal 1 binary64) (.f64 (/.f64 (.f64 #s(literal 1/8 binary64) x) y) (/.f64 x y)))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal 1/64 binary64) (pow.f64 (/.f64 (/.f64 (.f64 x x) y) y) #s(literal 2 binary64)) #s(literal -1 binary64)))) (neg.f64 (neg.f64 (-.f64 (.f64 (/.f64 (*.f64 #s(literal 1/8 binary64) x) y) (/.f64 x y)) #s(literal 1 binary64)))))
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(/.f64 (tan.f64 (/.f64 (/.f64 x #s(literal 2 binary64)) y)) #s(approx (sin (/ x (* y 2))) (.f64 (/.f64 (fma.f64 (/.f64 #s(literal -1/48 binary64) y) (/.f64 (.f64 x x) y) #s(literal 1/2 binary64)) y) x)))
(neg.f64 (/.f64 (tan.f64 (/.f64 (/.f64 x y) #s(literal -2 binary64))) #s(approx (sin (/ x (* y 2))) (.f64 (/.f64 (fma.f64 (/.f64 #s(literal -1/48 binary64) y) (/.f64 (.f64 x x) y) #s(literal 1/2 binary64)) y) x))))
(/.f64 (neg.f64 (+.f64 (tan.f64 (/.f64 (/.f64 x #s(literal 2 binary64)) y)) #s(literal 0 binary64))) (neg.f64 (+.f64 #s(literal 1 binary64) (*.f64 (tan.f64 (/.f64 (/.f64 x y) #s(literal -2 binary64))) #s(literal 0 binary64)))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x y)))) (sin.f64 (/.f64 (neg.f64 x) y)))
(/.f64 (neg.f64 (+.f64 (tan.f64 (/.f64 (/.f64 x y) #s(literal -2 binary64))) #s(literal 0 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 (/.f64 (/.f64 x y) #s(literal -2 binary64))) #s(literal 0 binary64))))
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(/.f64 (sin.f64 (-.f64 (/.f64 (/.f64 x #s(literal 2 binary64)) y) (PI.f64))) (neg.f64 (cos.f64 (/.f64 (/.f64 x y) #s(literal -2 binary64)))))
(/.f64 (sin.f64 (/.f64 (neg.f64 x) y)) (neg.f64 (+.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x y)))))
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(/.f64 (+.f64 (tan.f64 (/.f64 (/.f64 x y) #s(literal -2 binary64))) #s(literal 0 binary64)) (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 (/.f64 (/.f64 x y) #s(literal -2 binary64))) #s(literal 0 binary64)))))
(/.f64 (sin.f64 (/.f64 (/.f64 x y) #s(literal -2 binary64))) (neg.f64 (cos.f64 (/.f64 (/.f64 x y) #s(literal -2 binary64)))))
(/.f64 (sin.f64 (/.f64 (/.f64 x #s(literal 2 binary64)) y)) (neg.f64 (neg.f64 (cos.f64 (/.f64 (/.f64 x y) #s(literal -2 binary64))))))
(/.f64 (sin.f64 (/.f64 (/.f64 x #s(literal 2 binary64)) y)) (cos.f64 (+.f64 (/.f64 (/.f64 x #s(literal 2 binary64)) y) (+.f64 (PI.f64) (PI.f64)))))
(/.f64 (sin.f64 (/.f64 (/.f64 x #s(literal 2 binary64)) y)) (cos.f64 (/.f64 (/.f64 x y) #s(literal -2 binary64))))
(neg.f64 (tan.f64 (/.f64 (/.f64 x y) #s(literal -2 binary64))))
(tan.f64 (neg.f64 (-.f64 (/.f64 (/.f64 x y) #s(literal -2 binary64)) (PI.f64))))
(tan.f64 (neg.f64 (+.f64 (+.f64 (PI.f64) (/.f64 (/.f64 x y) #s(literal -2 binary64))) (PI.f64))))
(tan.f64 (+.f64 (-.f64 (/.f64 (/.f64 x #s(literal 2 binary64)) y) (PI.f64)) (PI.f64)))
(tan.f64 (+.f64 (+.f64 (/.f64 (/.f64 x #s(literal 2 binary64)) y) (+.f64 (PI.f64) (PI.f64))) (PI.f64)))
(tan.f64 (-.f64 (/.f64 (/.f64 x #s(literal 2 binary64)) y) (PI.f64)))
(tan.f64 (+.f64 (/.f64 (/.f64 x #s(literal 2 binary64)) y) (+.f64 (PI.f64) (PI.f64))))
(tan.f64 (+.f64 (PI.f64) (/.f64 (/.f64 x #s(literal 2 binary64)) y)))
(tan.f64 (/.f64 (/.f64 x #s(literal 2 binary64)) y))
(-.f64 (/.f64 #s(literal 1 binary64) (sin.f64 (/.f64 x y))) (/.f64 (cos.f64 (/.f64 x y)) (sin.f64 (/.f64 x y))))
(+.f64 (/.f64 (tan.f64 (/.f64 (/.f64 x #s(literal 2 binary64)) y)) (+.f64 #s(literal 1 binary64) (.f64 (tan.f64 (/.f64 (/.f64 x y) #s(literal -2 binary64))) #s(literal 0 binary64)))) (/.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (.f64 (tan.f64 (/.f64 (/.f64 x y) #s(literal -2 binary64))) #s(literal 0 binary64)))))
(/.f64 (neg.f64 (/.f64 x #s(literal 2 binary64))) (neg.f64 y))
(/.f64 (/.f64 x #s(literal 2 binary64)) y)
(/.f64 (/.f64 (neg.f64 x) y) #s(literal -2 binary64))
(/.f64 (neg.f64 x) (*.f64 #s(literal -2 binary64) y))
(/.f64 (/.f64 x y) #s(literal 2 binary64))
(/.f64 x (*.f64 #s(literal 2 binary64) y))
(neg.f64 (/.f64 (/.f64 x y) #s(literal -2 binary64)))
(/.f64 (sin.f64 (/.f64 (/.f64 x y) #s(literal -2 binary64))) (*.f64 (cos.f64 (/.f64 (/.f64 x y) #s(literal -2 binary64))) (sin.f64 (/.f64 (/.f64 x #s(literal 2 binary64)) y))))
(/.f64 (sin.f64 (/.f64 (/.f64 x #s(literal 2 binary64)) y)) (neg.f64 (*.f64 (cos.f64 (/.f64 (/.f64 x y) #s(literal -2 binary64))) (sin.f64 (/.f64 (/.f64 x #s(literal 2 binary64)) y)))))
(/.f64 (tan.f64 (/.f64 (/.f64 x y) #s(literal -2 binary64))) (sin.f64 (/.f64 (/.f64 x #s(literal 2 binary64)) y)))
(/.f64 (tan.f64 (/.f64 (/.f64 x #s(literal 2 binary64)) y)) (sin.f64 (/.f64 (/.f64 x y) #s(literal -2 binary64))))
(neg.f64 (/.f64 (tan.f64 (/.f64 (/.f64 x y) #s(literal -2 binary64))) (sin.f64 (/.f64 (/.f64 x y) #s(literal -2 binary64)))))
(/.f64 (neg.f64 (+.f64 (tan.f64 (/.f64 (/.f64 x #s(literal 2 binary64)) y)) #s(literal 0 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 (tan.f64 (/.f64 (/.f64 x y) #s(literal -2 binary64))) #s(literal 0 binary64))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x y)))) (sin.f64 (/.f64 x y)))
(/.f64 (neg.f64 (+.f64 (tan.f64 (/.f64 (/.f64 x y) #s(literal -2 binary64))) #s(literal 0 binary64))) (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 (/.f64 (/.f64 x y) #s(literal -2 binary64))) #s(literal 0 binary64)))))
(/.f64 (+.f64 #s(literal 0 binary64) (tan.f64 (/.f64 (/.f64 x y) #s(literal -2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 0 binary64) (tan.f64 (/.f64 (/.f64 x y) #s(literal -2 binary64))))))
(/.f64 (sin.f64 (+.f64 (+.f64 (PI.f64) (/.f64 (/.f64 x y) #s(literal -2 binary64))) (PI.f64))) (cos.f64 (+.f64 (+.f64 (PI.f64) (/.f64 (/.f64 x y) #s(literal -2 binary64))) (PI.f64))))
(/.f64 (sin.f64 (/.f64 (neg.f64 x) y)) (+.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x y))))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x y))) (sin.f64 (/.f64 (neg.f64 x) y)))
(/.f64 (sin.f64 (/.f64 x y)) (neg.f64 (+.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x y)))))
(/.f64 (+.f64 (tan.f64 (/.f64 (/.f64 x #s(literal 2 binary64)) y)) #s(literal 0 binary64)) (neg.f64 (+.f64 #s(literal 1 binary64) (*.f64 (tan.f64 (/.f64 (/.f64 x y) #s(literal -2 binary64))) #s(literal 0 binary64)))))
(/.f64 (+.f64 (tan.f64 (/.f64 (/.f64 x y) #s(literal -2 binary64))) #s(literal 0 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 (/.f64 (/.f64 x y) #s(literal -2 binary64))) #s(literal 0 binary64))))
(/.f64 (sin.f64 (/.f64 (/.f64 x y) #s(literal -2 binary64))) (neg.f64 (neg.f64 (cos.f64 (/.f64 (/.f64 x y) #s(literal -2 binary64))))))
(/.f64 (sin.f64 (/.f64 (/.f64 x y) #s(literal -2 binary64))) (cos.f64 (/.f64 (/.f64 x y) #s(literal -2 binary64))))
(/.f64 (sin.f64 (/.f64 (/.f64 x #s(literal 2 binary64)) y)) (neg.f64 (cos.f64 (/.f64 (/.f64 x y) #s(literal -2 binary64)))))
(neg.f64 (tan.f64 (/.f64 (/.f64 x #s(literal 2 binary64)) y)))
(tan.f64 (neg.f64 (-.f64 (/.f64 (/.f64 x #s(literal 2 binary64)) y) (PI.f64))))
(tan.f64 (neg.f64 (+.f64 (/.f64 (/.f64 x #s(literal 2 binary64)) y) (+.f64 (PI.f64) (PI.f64)))))
(tan.f64 (+.f64 (-.f64 (/.f64 (/.f64 x y) #s(literal -2 binary64)) (PI.f64)) (PI.f64)))
(tan.f64 (+.f64 (+.f64 (+.f64 (PI.f64) (/.f64 (/.f64 x y) #s(literal -2 binary64))) (PI.f64)) (PI.f64)))
(tan.f64 (-.f64 (/.f64 (/.f64 x y) #s(literal -2 binary64)) (PI.f64)))
(tan.f64 (+.f64 (+.f64 (PI.f64) (/.f64 (/.f64 x y) #s(literal -2 binary64))) (PI.f64)))
(tan.f64 (+.f64 (PI.f64) (/.f64 (/.f64 x y) #s(literal -2 binary64))))
(tan.f64 (/.f64 (/.f64 x y) #s(literal -2 binary64)))
(-.f64 (/.f64 #s(literal 1 binary64) (sin.f64 (/.f64 (neg.f64 x) y))) (/.f64 (cos.f64 (/.f64 x y)) (sin.f64 (/.f64 (neg.f64 x) y))))
(+.f64 (/.f64 (tan.f64 (/.f64 (/.f64 x y) #s(literal -2 binary64))) (-.f64 #s(literal 1 binary64) (.f64 (tan.f64 (/.f64 (/.f64 x y) #s(literal -2 binary64))) #s(literal 0 binary64)))) (/.f64 #s(literal 0 binary64) (-.f64 #s(literal 1 binary64) (.f64 (tan.f64 (/.f64 (/.f64 x y) #s(literal -2 binary64))) #s(literal 0 binary64)))))
(/.f64 (neg.f64 (/.f64 x #s(literal 2 binary64))) y)
(/.f64 (/.f64 x #s(literal 2 binary64)) (neg.f64 y))
(/.f64 (/.f64 (neg.f64 x) y) #s(literal 2 binary64))
(/.f64 (neg.f64 x) (*.f64 #s(literal 2 binary64) y))
(/.f64 (/.f64 x y) #s(literal -2 binary64))
(/.f64 x (*.f64 #s(literal -2 binary64) y))
(neg.f64 (/.f64 (/.f64 x #s(literal 2 binary64)) y))
(/.f64 (neg.f64 x) (neg.f64 y))
(/.f64 x y)
(neg.f64 (/.f64 (neg.f64 x) y))
(*.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 x)))
(*.f64 (neg.f64 x) (neg.f64 x))
(*.f64 x x)
(pow.f64 (exp.f64 (log.f64 x)) #s(literal 2 binary64))
(pow.f64 (neg.f64 x) #s(literal 2 binary64))
(pow.f64 (*.f64 x x) #s(literal 1 binary64))
(pow.f64 x #s(literal 2 binary64))
(neg.f64 (*.f64 (neg.f64 x) x))
(sqrt.f64 (.f64 (.f64 x x) (*.f64 x x)))
(fabs.f64 (*.f64 (neg.f64 x) x))
(fabs.f64 (*.f64 x x))
(exp.f64 (*.f64 (log.f64 (neg.f64 x)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)))
(+.f64 (cosh.f64 (.f64 (log.f64 x) #s(literal 2 binary64))) (sinh.f64 (.f64 (log.f64 x) #s(literal 2 binary64))))
#s(approx (sin (/ x (* y 2))) (.f64 (/.f64 (fma.f64 (/.f64 #s(literal -1/48 binary64) y) (/.f64 (.f64 x x) y) #s(literal 1/2 binary64)) y) x))
(neg.f64 (neg.f64 #s(approx (sin (/ x (* y 2))) (.f64 (/.f64 (fma.f64 (/.f64 #s(literal -1/48 binary64) y) (/.f64 (.f64 x x) y) #s(literal 1/2 binary64)) y) x))))
(neg.f64 (sin.f64 (/.f64 (/.f64 x y) #s(literal -2 binary64))))
(fma.f64 (sin.f64 (PI.f64)) (cos.f64 (/.f64 (/.f64 x y) #s(literal -2 binary64))) (*.f64 (cos.f64 (PI.f64)) (sin.f64 (/.f64 (/.f64 x y) #s(literal -2 binary64)))))
(fma.f64 (sin.f64 (/.f64 (/.f64 x y) #s(literal -2 binary64))) (cos.f64 (PI.f64)) (*.f64 (cos.f64 (/.f64 (/.f64 x y) #s(literal -2 binary64))) (sin.f64 (PI.f64))))
(sin.f64 (-.f64 (/.f64 (/.f64 x y) #s(literal -2 binary64)) (PI.f64)))
(sin.f64 (+.f64 (/.f64 (/.f64 x #s(literal 2 binary64)) y) (+.f64 (PI.f64) (PI.f64))))
(sin.f64 (+.f64 (PI.f64) (/.f64 (/.f64 x y) #s(literal -2 binary64))))
(sin.f64 (/.f64 (/.f64 x #s(literal 2 binary64)) y))
(cos.f64 (+.f64 (/.f64 (+.f64 (/.f64 x y) (PI.f64)) #s(literal 2 binary64)) (PI.f64)))
(cos.f64 (+.f64 (+.f64 (PI.f64) (/.f64 (/.f64 x #s(literal 2 binary64)) y)) (/.f64 (PI.f64) #s(literal 2 binary64))))
(cos.f64 (/.f64 (+.f64 (/.f64 (neg.f64 x) y) (PI.f64)) #s(literal 2 binary64)))
(+.f64 (.f64 (sin.f64 (PI.f64)) (cos.f64 (/.f64 (/.f64 x y) #s(literal -2 binary64)))) (.f64 (cos.f64 (PI.f64)) (sin.f64 (/.f64 (/.f64 x y) #s(literal -2 binary64)))))
(+.f64 (.f64 (sin.f64 (/.f64 (/.f64 x y) #s(literal -2 binary64))) (cos.f64 (PI.f64))) (.f64 (cos.f64 (/.f64 (/.f64 x y) #s(literal -2 binary64))) (sin.f64 (PI.f64))))

eval54.0ms (0.5%)

Memory: 14.3MiB live, 98.8MiB allocated
Compiler: Compiled 14 071 to 1 703 computations (87.9% saved)

prune59.0ms (0.6%)

Memory

-29.5MiB live, 44.4MiB allocated

Pruning

21 alts after pruning (18 fresh and 3 done)

	Pruned	Kept	Total
New	364	16	380
Fresh	2	2	4
Picked	3	2	5
Done	0	1	1
Total	369	21	390

Accuracy

65.4%

Counts

390 → 21

Alt Table

Click to see full alt table

Status	Accuracy	Program
	4.8%	(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x y))) (sin.f64 (/.f64 (neg.f64 x) y))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
▶	4.1%	(/.f64 (/.f64 (sin.f64 (/.f64 (neg.f64 x) y)) (+.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x y)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
	4.7%	(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (sin.f64 (/.f64 (neg.f64 x) y))) (/.f64 (cos.f64 (/.f64 x y)) (sin.f64 (/.f64 (neg.f64 x) y)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
	4.7%	(/.f64 (tan.f64 (/.f64 (/.f64 x y) #s(literal -2 binary64))) (fma.f64 (sin.f64 (/.f64 (/.f64 x y) #s(literal -2 binary64))) (cos.f64 (PI.f64)) (*.f64 (cos.f64 (/.f64 (/.f64 x y) #s(literal -2 binary64))) (sin.f64 (PI.f64)))))
	5.0%	(/.f64 (tan.f64 (/.f64 (/.f64 x y) #s(literal -2 binary64))) (cos.f64 (/.f64 (+.f64 (/.f64 (neg.f64 x) y) (PI.f64)) #s(literal 2 binary64))))
✓	47.8%	(/.f64 (tan.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))))
	4.1%	(/.f64 (tan.f64 (/.f64 x (.f64 #s(literal -2 binary64) y))) (sin.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))))
	40.6%	(/.f64 #s(approx (tan (/ x (* y 2))) (fma.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)) #s(literal 1/24 binary64) (.f64 (/.f64 x y) #s(literal 1/2 binary64)))) #s(approx (sin (/ x ( y 2))) (.f64 (/.f64 (fma.f64 (/.f64 (.f64 x x) y) (/.f64 #s(literal -1/48 binary64) y) #s(literal 1/2 binary64)) y) x)))
	47.4%	(/.f64 #s(approx (tan (/ x (* y 2))) (/.f64 (sin.f64 (.f64 (/.f64 #s(literal 1/2 binary64) y) x)) (cos.f64 (.f64 (/.f64 #s(literal 1/2 binary64) y) x)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
	6.6%	#s(approx (/ (tan (/ (/ x y) -2)) (sin (/ x (* y 2)))) #s(literal -1 binary64))
✓	51.1%	#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (fma.f64 (/.f64 #s(literal 1/8 binary64) y) (/.f64 (*.f64 x x) y) #s(literal 1 binary64)))
	58.9%	#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (sin.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) y) x (/.f64 (PI.f64) #s(literal 2 binary64))))))
	59.1%	#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (sin.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 x y) (/.f64 (PI.f64) #s(literal 2 binary64))))))
▶	58.5%	#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (sin.f64 (+.f64 (neg.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) y) x (/.f64 (PI.f64) #s(literal 2 binary64)))) (PI.f64)))))
	59.1%	#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) x) y))))
▶	59.2%	#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) y) x (PI.f64)) (PI.f64)))))
	59.1%	#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 x y) (PI.f64)) (PI.f64)))))
✓	59.2%	#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x))))
	55.9%	#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) #s(approx (cos (* (/ 1/2 y) x)) (fma.f64 (/.f64 (*.f64 #s(literal -1/8 binary64) x) y) (/.f64 x y) #s(literal 1 binary64)))))
▶	58.5%	#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal -1 binary64) (cos.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 x y) (PI.f64)))))
▶	58.9%	#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(literal 1 binary64))

Compiler

Compiled 901 to 622 computations (31% saved)

simplify312.0ms (3.1%)

Memory

-33.0MiB live, 145.8MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 17 expressions of interest:

New	Metric	Score
cost-diff	0	(/.f64 (neg.f64 x) y)
cost-diff	0	(sin.f64 (/.f64 (neg.f64 x) y))
cost-diff	0	(/.f64 (/.f64 (sin.f64 (/.f64 (neg.f64 x) y)) (+.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x y)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
cost-diff	6	(/.f64 (sin.f64 (/.f64 (neg.f64 x) y)) (+.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x y))))
cost-diff	0	#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (sin.f64 (+.f64 (neg.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) y) x (/.f64 (PI.f64) #s(literal 2 binary64)))) (PI.f64)))))
cost-diff	1	(neg.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) y) x (/.f64 (PI.f64) #s(literal 2 binary64))))
cost-diff	2	(+.f64 (neg.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) y) x (/.f64 (PI.f64) #s(literal 2 binary64)))) (PI.f64))
cost-diff	3	(sin.f64 (+.f64 (neg.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) y) x (/.f64 (PI.f64) #s(literal 2 binary64)))) (PI.f64)))
cost-diff	0	(fma.f64 #s(literal -1/2 binary64) (/.f64 x y) (PI.f64))
cost-diff	0	(cos.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 x y) (PI.f64)))
cost-diff	0	#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal -1 binary64) (cos.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 x y) (PI.f64)))))
cost-diff	1	(/.f64 #s(literal -1 binary64) (cos.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 x y) (PI.f64))))
cost-diff	0	#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(literal 1 binary64))
cost-diff	0	(+.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) y) x (PI.f64)) (PI.f64))
cost-diff	0	(/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) y) x (PI.f64)) (PI.f64))))
cost-diff	0	#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) y) x (PI.f64)) (PI.f64)))))
cost-diff	3	(cos.f64 (+.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) y) x (PI.f64)) (PI.f64)))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	42	303
0	71	290
1	116	280
2	217	263
3	435	261
4	811	261
5	1735	261
6	4115	260
7	7376	260
0	8001	258

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

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

localize368.0ms (3.6%)

Memory

8.0MiB live, 204.9MiB allocated

Localize:

Found 17 expressions of interest:

New	Metric	Score
accuracy	7.071715706472062	(/.f64 (/.f64 (sin.f64 (/.f64 (neg.f64 x) y)) (+.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x y)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
accuracy	26.302783869361463	(sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))
accuracy	26.332328716211048	(cos.f64 (/.f64 x y))
accuracy	26.804668553949977	(sin.f64 (/.f64 (neg.f64 x) y))
accuracy	0.01953125	(+.f64 (neg.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) y) x (/.f64 (PI.f64) #s(literal 2 binary64)))) (PI.f64))
accuracy	0.10546875	(fma.f64 (/.f64 #s(literal 1/2 binary64) y) x (/.f64 (PI.f64) #s(literal 2 binary64)))
accuracy	0.109375	(/.f64 #s(literal 1 binary64) (sin.f64 (+.f64 (neg.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) y) x (/.f64 (PI.f64) #s(literal 2 binary64)))) (PI.f64))))
accuracy	26.081669957088923	(sin.f64 (+.f64 (neg.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) y) x (/.f64 (PI.f64) #s(literal 2 binary64)))) (PI.f64)))
accuracy	0.0	#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal -1 binary64) (cos.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 x y) (PI.f64)))))
accuracy	0.01171875	(fma.f64 #s(literal -1/2 binary64) (/.f64 x y) (PI.f64))
accuracy	0.109375	(/.f64 #s(literal -1 binary64) (cos.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 x y) (PI.f64))))
accuracy	26.478717769384172	(cos.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 x y) (PI.f64)))
accuracy	26.293574600210473	#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(literal 1 binary64))
accuracy	0.00390625	(+.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) y) x (PI.f64)) (PI.f64))
accuracy	0.109375	(/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) y) x (PI.f64)) (PI.f64))))
accuracy	0.1171875	(fma.f64 (/.f64 #s(literal 1/2 binary64) y) x (PI.f64))
accuracy	26.101515047073498	(cos.f64 (+.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) y) x (PI.f64)) (PI.f64)))

Samples

253.0ms	116×	1	valid
79.0ms	140×	0	valid

Compiler

Compiled 581 to 82 computations (85.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 297.0ms

ival-cos: 114.0ms (38.4% of total)

ival-mult: 81.0ms (27.3% of total)

ival-sin: 51.0ms (17.2% of total)

ival-div: 23.0ms (7.7% of total)

ival-add: 10.0ms (3.4% of total)

adjust: 7.0ms (2.4% of total)

ival-tan: 6.0ms (2% of total)

ival-neg: 3.0ms (1% of total)

ival-pi: 1.0ms (0.3% of total)

exact: 1.0ms (0.3% of total)

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

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

series84.0ms (0.8%)

Memory

-6.7MiB live, 74.2MiB allocated

Counts

22 → 150

Calls

Call 1

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

Outputs
(cos (* 2 (PI)))
(+ (cos (* 2 (PI))) (* -1/2 (/ (* x (sin (* 2 (PI)))) y)))
(+ (cos (* 2 (PI))) (* x (- (* -1/8 (/ (* x (cos (* 2 (PI)))) (pow y 2))) (* 1/2 (/ (sin (* 2 (PI))) y)))))
(+ (cos (* 2 (PI))) (* x (- (* x (+ (* -1/8 (/ (cos (* 2 (PI))) (pow y 2))) (* 1/48 (/ (* x (sin (* 2 (PI)))) (pow y 3))))) (* 1/2 (/ (sin (* 2 (PI))) 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 (* 2 (PI))))
(+ (* 1/2 (/ (* x (sin (* 2 (PI)))) (* y (pow (cos (* 2 (PI))) 2)))) (/ 1 (cos (* 2 (PI)))))
(+ (* x (- (* x (- (* 1/8 (/ 1 (* (pow y 2) (cos (* 2 (PI)))))) (* -1/4 (/ (pow (sin (* 2 (PI))) 2) (* (pow y 2) (pow (cos (* 2 (PI))) 3)))))) (* -1/2 (/ (sin (* 2 (PI))) (* y (pow (cos (* 2 (PI))) 2)))))) (/ 1 (cos (* 2 (PI)))))
(+ (* x (- (* x (- (+ (* -1 (* x (+ (* -1/2 (/ (* (sin (* 2 (PI))) (- (* 1/8 (/ 1 (* (pow y 2) (cos (* 2 (PI)))))) (* -1/4 (/ (pow (sin (* 2 (PI))) 2) (* (pow y 2) (pow (cos (* 2 (PI))) 3)))))) (* y (cos (* 2 (PI)))))) (+ (* -1/16 (/ (sin (* 2 (PI))) (* (pow y 3) (pow (cos (* 2 (PI))) 2)))) (* 1/48 (/ (sin (* 2 (PI))) (* (pow y 3) (pow (cos (* 2 (PI))) 2)))))))) (* 1/8 (/ 1 (* (pow y 2) (cos (* 2 (PI))))))) (* -1/4 (/ (pow (sin (* 2 (PI))) 2) (* (pow y 2) (pow (cos (* 2 (PI))) 3)))))) (* -1/2 (/ (sin (* 2 (PI))) (* y (pow (cos (* 2 (PI))) 2)))))) (/ 1 (cos (* 2 (PI)))))
(* 2 (PI))
(+ (* 1/2 (/ x y)) (* 2 (PI)))
(/ -1 (cos (PI)))
(- (* 1/2 (/ (* x (sin (PI))) (* y (pow (cos (PI)) 2)))) (/ 1 (cos (PI))))
(- (* x (- (* -1 (* x (+ (* 1/8 (/ 1 (* (pow y 2) (cos (PI))))) (* 1/4 (/ (pow (sin (PI)) 2) (* (pow y 2) (pow (cos (PI)) 3))))))) (* -1/2 (/ (sin (PI)) (* y (pow (cos (PI)) 2)))))) (/ 1 (cos (PI))))
(- (* x (- (* x (- (* -1 (* x (+ (* -1/2 (/ (* (sin (PI)) (+ (* 1/4 (/ (pow (sin (PI)) 2) (* (pow y 2) (pow (cos (PI)) 3)))) (* 1/8 (/ 1 (* (pow y 2) (cos (PI))))))) (* y (cos (PI))))) (+ (* -1/16 (/ (sin (PI)) (* (pow y 3) (pow (cos (PI)) 2)))) (* 1/48 (/ (sin (PI)) (* (pow y 3) (pow (cos (PI)) 2)))))))) (+ (* 1/8 (/ 1 (* (pow y 2) (cos (PI))))) (* 1/4 (/ (pow (sin (PI)) 2) (* (pow y 2) (pow (cos (PI)) 3))))))) (* -1/2 (/ (sin (PI)) (* y (pow (cos (PI)) 2)))))) (/ 1 (cos (PI))))
(cos (PI))
(+ (cos (PI)) (* 1/2 (/ (* x (sin (PI))) y)))
(+ (cos (PI)) (* x (- (* -1/8 (/ (* x (cos (PI))) (pow y 2))) (* -1/2 (/ (sin (PI)) y)))))
(+ (cos (PI)) (* x (- (* x (+ (* -1/8 (/ (cos (PI)) (pow y 2))) (* -1/48 (/ (* x (sin (PI))) (pow y 3))))) (* -1/2 (/ (sin (PI)) y)))))
(PI)
(+ (PI) (* -1/2 (/ x y)))
(sin (- (PI) (* 1/2 (PI))))
(+ (sin (- (PI) (* 1/2 (PI)))) (* -1/2 (/ (* x (cos (- (PI) (* 1/2 (PI))))) y)))
(+ (sin (- (PI) (* 1/2 (PI)))) (* x (+ (* -1/2 (/ (cos (- (PI) (* 1/2 (PI)))) y)) (* -1/8 (/ (* x (sin (- (PI) (* 1/2 (PI))))) (pow y 2))))))
(+ (sin (- (PI) (* 1/2 (PI)))) (* x (+ (* -1/2 (/ (cos (- (PI) (* 1/2 (PI)))) y)) (* x (+ (* -1/8 (/ (sin (- (PI) (* 1/2 (PI)))) (pow y 2))) (* 1/48 (/ (* x (cos (- (PI) (* 1/2 (PI))))) (pow y 3))))))))
(- (PI) (* 1/2 (PI)))
(- (+ (PI) (* -1/2 (/ x y))) (* 1/2 (PI)))
(* -1/2 (PI))
(- (* -1/2 (/ x y)) (* 1/2 (PI)))
(* -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))))
-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) (- (* (pow x 2) (- (* 269/64512 (/ 1 (pow y 6))) (* 443/80640 (/ 1 (pow y 6))))) (* 5/384 (/ 1 (pow y 4))))) (* 1/8 (/ 1 (pow y 2))))) 1)
(* -1 (/ x y))
(* x (- (* 1/6 (/ (pow x 2) (pow y 3))) (/ 1 y)))
(* x (- (* (pow x 2) (+ (* -1/120 (/ (pow x 2) (pow y 5))) (* 1/6 (/ 1 (pow y 3))))) (/ 1 y)))
(* x (- (* (pow x 2) (+ (* (pow x 2) (- (* 1/5040 (/ (pow x 2) (pow y 7))) (* 1/120 (/ 1 (pow y 5))))) (* 1/6 (/ 1 (pow y 3))))) (/ 1 y)))
(+ (PI) (* 1/2 (/ x y)))
(/ 1 (sin (- (PI) (* 1/2 (PI)))))
(+ (* 1/2 (/ (* x (cos (- (PI) (* 1/2 (PI))))) (* y (pow (sin (- (PI) (* 1/2 (PI)))) 2)))) (/ 1 (sin (- (PI) (* 1/2 (PI))))))
(+ (* x (- (* x (- (* 1/8 (/ 1 (* (pow y 2) (sin (- (PI) (* 1/2 (PI))))))) (* -1/4 (/ (pow (cos (- (PI) (* 1/2 (PI)))) 2) (* (pow y 2) (pow (sin (- (PI) (* 1/2 (PI)))) 3)))))) (* -1/2 (/ (cos (- (PI) (* 1/2 (PI)))) (* y (pow (sin (- (PI) (* 1/2 (PI)))) 2)))))) (/ 1 (sin (- (PI) (* 1/2 (PI))))))
(+ (* x (- (* x (- (+ (* -1 (* x (+ (* -1/2 (/ (* (cos (- (PI) (* 1/2 (PI)))) (- (* 1/8 (/ 1 (* (pow y 2) (sin (- (PI) (* 1/2 (PI))))))) (* -1/4 (/ (pow (cos (- (PI) (* 1/2 (PI)))) 2) (* (pow y 2) (pow (sin (- (PI) (* 1/2 (PI)))) 3)))))) (* y (sin (- (PI) (* 1/2 (PI))))))) (+ (* -1/16 (/ (cos (- (PI) (* 1/2 (PI)))) (* (pow y 3) (pow (sin (- (PI) (* 1/2 (PI)))) 2)))) (* 1/48 (/ (cos (- (PI) (* 1/2 (PI)))) (* (pow y 3) (pow (sin (- (PI) (* 1/2 (PI)))) 2)))))))) (* 1/8 (/ 1 (* (pow y 2) (sin (- (PI) (* 1/2 (PI)))))))) (* -1/4 (/ (pow (cos (- (PI) (* 1/2 (PI)))) 2) (* (pow y 2) (pow (sin (- (PI) (* 1/2 (PI)))) 3)))))) (* -1/2 (/ (cos (- (PI) (* 1/2 (PI)))) (* y (pow (sin (- (PI) (* 1/2 (PI)))) 2)))))) (/ 1 (sin (- (PI) (* 1/2 (PI))))))
(* 1/2 (PI))
(+ (* 1/2 (PI)) (* 1/2 (/ x y)))
(+ 1 (* -1/2 (/ (pow x 2) (pow y 2))))
(+ 1 (* (pow x 2) (- (* 1/24 (/ (pow x 2) (pow y 4))) (* 1/2 (/ 1 (pow y 2))))))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ (* -1/720 (/ (pow x 2) (pow y 6))) (* 1/24 (/ 1 (pow y 4))))) (* 1/2 (/ 1 (pow y 2))))))
(* 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))))
(cos (+ (* 1/2 (/ x y)) (* 2 (PI))))
(/ 1 (cos (* 1/2 (/ x y))))
(/ 1 (cos (+ (* 1/2 (/ x y)) (* 2 (PI)))))
(* x (+ (* 2 (/ (PI) x)) (* 1/2 (/ 1 y))))
(/ -1 (cos (- (PI) (* 1/2 (/ x y)))))
(cos (- (PI) (* 1/2 (/ x y))))
(* x (- (/ (PI) x) (* 1/2 (/ 1 y))))
(sin (- (PI) (+ (* 1/2 (PI)) (* 1/2 (/ x y)))))
(* x (- (/ (PI) x) (+ (* 1/2 (/ 1 y)) (* 1/2 (/ (PI) x)))))
(* x (- (* -1/2 (/ (PI) x)) (* 1/2 (/ 1 y))))
(/ (sin (* -1 (/ x y))) (+ 1 (cos (/ x y))))
(/ (sin (* -1 (/ x y))) (* (sin (* 1/2 (/ x y))) (+ 1 (cos (/ x y)))))
(sin (* -1 (/ x y)))
(* x (+ (* 1/2 (/ 1 y)) (/ (PI) x)))
(/ 1 (sin (- (PI) (+ (* 1/2 (PI)) (* 1/2 (/ x y))))))
(* x (+ (* 1/2 (/ (PI) x)) (* 1/2 (/ 1 y))))
(cos (/ x y))
(sin (* 1/2 (/ x y)))
(cos (- (* 2 (PI)) (* -1/2 (/ x y))))
(/ 1 (cos (- (* 2 (PI)) (* -1/2 (/ x y)))))
(* -1 (* x (- (* -2 (/ (PI) x)) (* 1/2 (/ 1 y)))))
(/ -1 (cos (+ (PI) (* -1/2 (/ x y)))))
(cos (+ (PI) (* -1/2 (/ x y))))
(* -1 (* x (+ (* -1 (/ (PI) x)) (* 1/2 (/ 1 y)))))
(sin (- (+ (PI) (* -1/2 (/ x y))) (* 1/2 (PI))))
(* -1 (* x (+ (* -1 (/ (- (PI) (* 1/2 (PI))) x)) (* 1/2 (/ 1 y)))))
(* -1 (* x (+ (* 1/2 (/ (PI) x)) (* 1/2 (/ 1 y)))))
(* -1 (* x (- (* -1 (/ (PI) x)) (* 1/2 (/ 1 y)))))
(/ 1 (sin (- (+ (PI) (* -1/2 (/ x y))) (* 1/2 (PI)))))
(* -1 (* x (- (* -1/2 (/ (PI) x)) (* 1/2 (/ 1 y)))))
(/ (+ (* 1/2 x) (* 2 (* y (PI)))) y)
(/ (+ (* -1/2 x) (* y (PI))) y)
(/ (- (* y (- (PI) (* 1/2 (PI)))) (* 1/2 x)) y)
(/ (- (* -1/2 (* y (PI))) (* 1/2 x)) y)
(/ (+ (* 1/2 x) (* y (PI))) y)
(/ (+ (* 1/2 x) (* 1/2 (* y (PI)))) y)
(- (+ (cos (* 2 (PI))) (* -1/8 (/ (* (pow x 2) (cos (* 2 (PI)))) (pow y 2)))) (* 1/2 (/ (* x (sin (* 2 (PI)))) y)))
(- (+ (cos (* 2 (PI))) (+ (* -1/8 (/ (* (pow x 2) (cos (* 2 (PI)))) (pow y 2))) (* 1/48 (/ (* (pow x 3) (sin (* 2 (PI)))) (pow y 3))))) (* 1/2 (/ (* x (sin (* 2 (PI)))) y)))
(- (+ 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 (/ (+ (* -1/4 (/ (* (pow x 2) (pow (sin (* 2 (PI))) 2)) (pow (cos (* 2 (PI))) 3))) (* -1/8 (/ (pow x 2) (cos (* 2 (PI)))))) (pow y 2))) (/ 1 (cos (* 2 (PI))))) (* -1/2 (/ (* x (sin (* 2 (PI)))) (* y (pow (cos (* 2 (PI))) 2)))))
(- (+ (* -1 (/ (+ (* -1/16 (/ (* (pow x 3) (sin (* 2 (PI)))) (pow (cos (* 2 (PI))) 2))) (+ (* 1/48 (/ (* (pow x 3) (sin (* 2 (PI)))) (pow (cos (* 2 (PI))) 2))) (* 1/2 (/ (* x (* (sin (* 2 (PI))) (+ (* -1/4 (/ (* (pow x 2) (pow (sin (* 2 (PI))) 2)) (pow (cos (* 2 (PI))) 3))) (* -1/8 (/ (pow x 2) (cos (* 2 (PI)))))))) (cos (* 2 (PI))))))) (pow y 3))) (/ 1 (cos (* 2 (PI))))) (+ (* -1/2 (/ (* x (sin (* 2 (PI)))) (* y (pow (cos (* 2 (PI))) 2)))) (+ (* -1/4 (/ (* (pow x 2) (pow (sin (* 2 (PI))) 2)) (* (pow y 2) (pow (cos (* 2 (PI))) 3)))) (* -1/8 (/ (pow x 2) (* (pow y 2) (cos (* 2 (PI)))))))))
(- (* -1 (/ (+ (* 1/8 (/ (pow x 2) (cos (PI)))) (* 1/4 (/ (* (pow x 2) (pow (sin (PI)) 2)) (pow (cos (PI)) 3)))) (pow y 2))) (+ (* -1/2 (/ (* x (sin (PI))) (* y (pow (cos (PI)) 2)))) (/ 1 (cos (PI)))))
(- (* -1 (/ (+ (* -1/2 (/ (* x (* (sin (PI)) (+ (* 1/8 (/ (pow x 2) (cos (PI)))) (* 1/4 (/ (* (pow x 2) (pow (sin (PI)) 2)) (pow (cos (PI)) 3)))))) (cos (PI)))) (+ (* -1/16 (/ (* (pow x 3) (sin (PI))) (pow (cos (PI)) 2))) (* 1/48 (/ (* (pow x 3) (sin (PI))) (pow (cos (PI)) 2))))) (pow y 3))) (+ (* -1/2 (/ (* x (sin (PI))) (* y (pow (cos (PI)) 2)))) (+ (* 1/8 (/ (pow x 2) (* (pow y 2) (cos (PI))))) (+ (* 1/4 (/ (* (pow x 2) (pow (sin (PI)) 2)) (* (pow y 2) (pow (cos (PI)) 3)))) (/ 1 (cos (PI)))))))
(- (+ (cos (PI)) (* -1/8 (/ (* (pow x 2) (cos (PI))) (pow y 2)))) (* -1/2 (/ (* x (sin (PI))) y)))
(- (+ (cos (PI)) (+ (* -1/8 (/ (* (pow x 2) (cos (PI))) (pow y 2))) (* -1/48 (/ (* (pow x 3) (sin (PI))) (pow y 3))))) (* -1/2 (/ (* x (sin (PI))) y)))
(+ (sin (- (PI) (* 1/2 (PI)))) (+ (* -1/2 (/ (* x (cos (- (PI) (* 1/2 (PI))))) y)) (* -1/8 (/ (* (pow x 2) (sin (- (PI) (* 1/2 (PI))))) (pow y 2)))))
(+ (sin (- (PI) (* 1/2 (PI)))) (+ (* -1/2 (/ (* x (cos (- (PI) (* 1/2 (PI))))) y)) (+ (* -1/8 (/ (* (pow x 2) (sin (- (PI) (* 1/2 (PI))))) (pow y 2))) (* 1/48 (/ (* (pow x 3) (cos (- (PI) (* 1/2 (PI))))) (pow y 3))))))
(/ (- (+ (* -1/2 x) (* 1/12 (/ (pow x 3) (pow y 2)))) (* 1/8 (/ (pow x 3) (pow y 2)))) y)
(/ (- (+ (* -1/2 x) (+ (* -1/240 (/ (pow x 5) (pow y 4))) (* 1/12 (/ (pow x 3) (pow y 2))))) (+ (* -1/4 (/ (* (pow x 2) (- (* 1/12 (pow x 3)) (* 1/8 (pow x 3)))) (pow y 4))) (+ (* -1/96 (/ (pow x 5) (pow y 4))) (* 1/8 (/ (pow x 3) (pow y 2)))))) y)
(/ (- (+ (* -1/2 x) (+ (* -1/240 (/ (pow x 5) (pow y 4))) (+ (* 1/10080 (/ (pow x 7) (pow y 6))) (* 1/12 (/ (pow x 3) (pow y 2)))))) (+ (* -1/4 (/ (* (pow x 2) (- (* -1/240 (pow x 5)) (+ (* -1/4 (* (pow x 2) (- (* 1/12 (pow x 3)) (* 1/8 (pow x 3))))) (* -1/96 (pow x 5))))) (pow y 6))) (+ (* -1/4 (/ (* (pow x 2) (- (* 1/12 (pow x 3)) (* 1/8 (pow x 3)))) (pow y 4))) (+ (* -1/96 (/ (pow x 5) (pow y 4))) (+ (* 1/2880 (/ (pow x 7) (pow y 6))) (+ (* 1/48 (/ (* (pow x 4) (- (* 1/12 (pow x 3)) (* 1/8 (pow x 3)))) (pow y 6))) (* 1/8 (/ (pow x 3) (pow y 2))))))))) y)
(- (* 1/6 (/ (pow x 2) (pow y 2))) (+ 1 (* -1 (/ (+ (* -1/4 (pow x 3)) (* -1/24 (pow x 3))) (* x (pow y 2))))))
(- (+ (* -1/120 (/ (pow x 4) (pow y 4))) (* 1/6 (/ (pow x 2) (pow y 2)))) (+ 1 (+ (* -1 (/ (+ (* -1/4 (pow x 3)) (* -1/24 (pow x 3))) (* x (pow y 2)))) (+ (* -1 (/ (+ (* 1/1920 (pow x 5)) (+ (* 1/96 (pow x 5)) (* 1/48 (pow x 5)))) (* x (pow y 4)))) (/ (* (+ (* -1/4 (pow x 3)) (* -1/24 (pow x 3))) (- (* 1/6 (pow x 2)) (* -1 (/ (+ (* -1/4 (pow x 3)) (* -1/24 (pow x 3))) x)))) (* x (pow y 4)))))))
(- (+ (* -1/120 (/ (pow x 4) (pow y 4))) (+ (* 1/5040 (/ (pow x 6) (pow y 6))) (* 1/6 (/ (pow x 2) (pow y 2))))) (+ 1 (+ (* -1 (/ (+ (* -1/4 (pow x 3)) (* -1/24 (pow x 3))) (* x (pow y 2)))) (+ (* -1 (/ (+ (* -1/1152 (pow x 7)) (+ (* -1/1440 (pow x 7)) (+ (* -1/7680 (pow x 7)) (* -1/322560 (pow x 7))))) (* x (pow y 6)))) (+ (* -1 (/ (+ (* 1/1920 (pow x 5)) (+ (* 1/96 (pow x 5)) (* 1/48 (pow x 5)))) (* x (pow y 4)))) (+ (/ (* (+ (* -1/4 (pow x 3)) (* -1/24 (pow x 3))) (- (* -1/120 (pow x 4)) (+ (* -1 (/ (+ (* 1/1920 (pow x 5)) (+ (* 1/96 (pow x 5)) (* 1/48 (pow x 5)))) x)) (/ (* (+ (* -1/4 (pow x 3)) (* -1/24 (pow x 3))) (- (* 1/6 (pow x 2)) (* -1 (/ (+ (* -1/4 (pow x 3)) (* -1/24 (pow x 3))) x)))) x)))) (* x (pow y 6))) (+ (/ (* (+ (* -1/4 (pow x 3)) (* -1/24 (pow x 3))) (- (* 1/6 (pow x 2)) (* -1 (/ (+ (* -1/4 (pow x 3)) (* -1/24 (pow x 3))) x)))) (* x (pow y 4))) (/ (* (+ (* 1/1920 (pow x 5)) (+ (* 1/96 (pow x 5)) (* 1/48 (pow x 5)))) (- (* 1/6 (pow x 2)) (* -1 (/ (+ (* -1/4 (pow x 3)) (* -1/24 (pow x 3))) x)))) (* x (pow y 6))))))))))
(/ (+ (* -1 x) (* 1/6 (/ (pow x 3) (pow y 2)))) y)
(/ (+ (* -1 x) (+ (* -1/120 (/ (pow x 5) (pow y 4))) (* 1/6 (/ (pow x 3) (pow y 2))))) y)
(/ (+ (* -1 x) (+ (* -1/120 (/ (pow x 5) (pow y 4))) (+ (* 1/5040 (/ (pow x 7) (pow y 6))) (* 1/6 (/ (pow x 3) (pow y 2)))))) y)
(- (+ (* -1 (/ (+ (* -1/4 (/ (* (pow x 2) (pow (cos (- (PI) (* 1/2 (PI)))) 2)) (pow (sin (- (PI) (* 1/2 (PI)))) 3))) (* -1/8 (/ (pow x 2) (sin (- (PI) (* 1/2 (PI))))))) (pow y 2))) (/ 1 (sin (- (PI) (* 1/2 (PI)))))) (* -1/2 (/ (* x (cos (- (PI) (* 1/2 (PI))))) (* y (pow (sin (- (PI) (* 1/2 (PI)))) 2)))))
(- (+ (* -1 (/ (+ (* -1/16 (/ (* (pow x 3) (cos (- (PI) (* 1/2 (PI))))) (pow (sin (- (PI) (* 1/2 (PI)))) 2))) (+ (* 1/48 (/ (* (pow x 3) (cos (- (PI) (* 1/2 (PI))))) (pow (sin (- (PI) (* 1/2 (PI)))) 2))) (* 1/2 (/ (* x (* (cos (- (PI) (* 1/2 (PI)))) (+ (* -1/4 (/ (* (pow x 2) (pow (cos (- (PI) (* 1/2 (PI)))) 2)) (pow (sin (- (PI) (* 1/2 (PI)))) 3))) (* -1/8 (/ (pow x 2) (sin (- (PI) (* 1/2 (PI))))))))) (sin (- (PI) (* 1/2 (PI)))))))) (pow y 3))) (/ 1 (sin (- (PI) (* 1/2 (PI)))))) (+ (* -1/2 (/ (* x (cos (- (PI) (* 1/2 (PI))))) (* y (pow (sin (- (PI) (* 1/2 (PI)))) 2)))) (+ (* -1/4 (/ (* (pow x 2) (pow (cos (- (PI) (* 1/2 (PI)))) 2)) (* (pow y 2) (pow (sin (- (PI) (* 1/2 (PI)))) 3)))) (* -1/8 (/ (pow x 2) (* (pow y 2) (sin (- (PI) (* 1/2 (PI))))))))))
(+ 1 (+ (* -1/2 (/ (pow x 2) (pow y 2))) (* 1/24 (/ (pow x 4) (pow y 4)))))
(+ 1 (+ (* -1/2 (/ (pow x 2) (pow y 2))) (+ (* -1/720 (/ (pow x 6) (pow y 6))) (* 1/24 (/ (pow x 4) (pow y 4))))))
(/ (+ (* -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)
(+ (cos (* 2 (PI))) (* -1 (/ (- (* 1/8 (/ (* (pow x 2) (cos (* 2 (PI)))) y)) (* -1/2 (* x (sin (* 2 (PI)))))) y)))
(+ (cos (* 2 (PI))) (* -1 (/ (- (* -1 (/ (+ (* -1/8 (* (pow x 2) (cos (* 2 (PI))))) (* 1/48 (/ (* (pow x 3) (sin (* 2 (PI)))) y))) y)) (* -1/2 (* x (sin (* 2 (PI)))))) y)))
(- (+ 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 (/ (- (+ (* -1/4 (/ (* (pow x 2) (pow (sin (* 2 (PI))) 2)) (* y (pow (cos (* 2 (PI))) 3)))) (* -1/8 (/ (pow x 2) (* y (cos (* 2 (PI))))))) (* 1/2 (/ (* x (sin (* 2 (PI)))) (pow (cos (* 2 (PI))) 2)))) y)) (/ 1 (cos (* 2 (PI)))))
(+ (* -1 (/ (- (* -1 (/ (- (+ (* -1/2 (/ (* x (* (sin (* 2 (PI))) (+ (* -1/4 (/ (* (pow x 2) (pow (sin (* 2 (PI))) 2)) (pow (cos (* 2 (PI))) 3))) (* -1/8 (/ (pow x 2) (cos (* 2 (PI)))))))) (* y (cos (* 2 (PI)))))) (+ (* -1/48 (/ (* (pow x 3) (sin (* 2 (PI)))) (* y (pow (cos (* 2 (PI))) 2)))) (* 1/16 (/ (* (pow x 3) (sin (* 2 (PI)))) (* y (pow (cos (* 2 (PI))) 2)))))) (+ (* -1/4 (/ (* (pow x 2) (pow (sin (* 2 (PI))) 2)) (pow (cos (* 2 (PI))) 3))) (* -1/8 (/ (pow x 2) (cos (* 2 (PI))))))) y)) (* 1/2 (/ (* x (sin (* 2 (PI)))) (pow (cos (* 2 (PI))) 2)))) y)) (/ 1 (cos (* 2 (PI)))))
(- (* -1 (/ (- (+ (* 1/8 (/ (pow x 2) (* y (cos (PI))))) (* 1/4 (/ (* (pow x 2) (pow (sin (PI)) 2)) (* y (pow (cos (PI)) 3))))) (* 1/2 (/ (* x (sin (PI))) (pow (cos (PI)) 2)))) y)) (/ 1 (cos (PI))))
(- (* -1 (/ (- (* -1 (/ (- (+ (* -1/48 (/ (* (pow x 3) (sin (PI))) (* y (pow (cos (PI)) 2)))) (+ (* 1/16 (/ (* (pow x 3) (sin (PI))) (* y (pow (cos (PI)) 2)))) (* 1/2 (/ (* x (* (sin (PI)) (+ (* 1/8 (/ (pow x 2) (cos (PI)))) (* 1/4 (/ (* (pow x 2) (pow (sin (PI)) 2)) (pow (cos (PI)) 3)))))) (* y (cos (PI))))))) (+ (* 1/8 (/ (pow x 2) (cos (PI)))) (* 1/4 (/ (* (pow x 2) (pow (sin (PI)) 2)) (pow (cos (PI)) 3))))) y)) (* 1/2 (/ (* x (sin (PI))) (pow (cos (PI)) 2)))) y)) (/ 1 (cos (PI))))
(+ (cos (PI)) (* -1 (/ (- (* 1/8 (/ (* (pow x 2) (cos (PI))) y)) (* 1/2 (* x (sin (PI))))) y)))
(+ (cos (PI)) (* -1 (/ (- (* -1 (/ (+ (* -1/8 (* (pow x 2) (cos (PI)))) (* -1/48 (/ (* (pow x 3) (sin (PI))) y))) y)) (* 1/2 (* x (sin (PI))))) y)))
(+ (sin (- (PI) (* 1/2 (PI)))) (* -1 (/ (+ (* 1/8 (/ (* (pow x 2) (sin (- (PI) (* 1/2 (PI))))) y)) (* 1/2 (* x (cos (- (PI) (* 1/2 (PI))))))) y)))
(+ (sin (- (PI) (* 1/2 (PI)))) (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (* (pow x 2) (sin (- (PI) (* 1/2 (PI)))))) (* 1/48 (/ (* (pow x 3) (cos (- (PI) (* 1/2 (PI))))) y))) y)) (* 1/2 (* x (cos (- (PI) (* 1/2 (PI))))))) y)))
(* -1 (/ (- (+ (* -1/12 (/ (pow x 3) (pow y 2))) (* 1/2 x)) (* -1/8 (/ (pow x 3) (pow y 2)))) y))
(* -1 (/ (- (+ (* -1/12 (/ (pow x 3) (pow y 2))) (+ (* 1/240 (/ (pow x 5) (pow y 4))) (* 1/2 x))) (+ (* -1/4 (/ (* (pow x 2) (- (* -1/12 (pow x 3)) (* -1/8 (pow x 3)))) (pow y 4))) (+ (* -1/8 (/ (pow x 3) (pow y 2))) (* 1/96 (/ (pow x 5) (pow y 4)))))) y))
(* -1 (/ (- (+ (* -1/12 (/ (pow x 3) (pow y 2))) (+ (* -1/10080 (/ (pow x 7) (pow y 6))) (+ (* 1/240 (/ (pow x 5) (pow y 4))) (* 1/2 x)))) (+ (* -1/4 (/ (* (pow x 2) (- (* -1/12 (pow x 3)) (* -1/8 (pow x 3)))) (pow y 4))) (+ (* -1/4 (/ (* (pow x 2) (- (* 1/240 (pow x 5)) (+ (* -1/4 (* (pow x 2) (- (* -1/12 (pow x 3)) (* -1/8 (pow x 3))))) (* 1/96 (pow x 5))))) (pow y 6))) (+ (* -1/8 (/ (pow x 3) (pow y 2))) (+ (* -1/2880 (/ (pow x 7) (pow y 6))) (+ (* 1/96 (/ (pow x 5) (pow y 4))) (* 1/48 (/ (* (pow x 4) (- (* -1/12 (pow x 3)) (* -1/8 (pow x 3)))) (pow y 6))))))))) y))
(- (* 1/6 (/ (pow x 2) (pow y 2))) (+ 1 (+ (* 1/24 (/ (pow x 2) (pow y 2))) (* 1/4 (/ (pow x 2) (pow y 2))))))
(- (+ (* -1/120 (/ (pow x 4) (pow y 4))) (* 1/6 (/ (pow x 2) (pow y 2)))) (+ 1 (+ (* -1 (/ (* (+ (* 1/24 (pow x 3)) (* 1/4 (pow x 3))) (- (* 1/6 (pow x 2)) (+ (* 1/24 (pow x 2)) (* 1/4 (pow x 2))))) (* x (pow y 4)))) (+ (* -1/48 (/ (pow x 4) (pow y 4))) (+ (* -1/96 (/ (pow x 4) (pow y 4))) (+ (* -1/1920 (/ (pow x 4) (pow y 4))) (+ (* 1/24 (/ (pow x 2) (pow y 2))) (* 1/4 (/ (pow x 2) (pow y 2))))))))))
(- (+ (* -1/120 (/ (pow x 4) (pow y 4))) (+ (* 1/5040 (/ (pow x 6) (pow y 6))) (* 1/6 (/ (pow x 2) (pow y 2))))) (+ 1 (+ (* -1 (/ (* (+ (* -1/48 (pow x 5)) (+ (* -1/96 (pow x 5)) (* -1/1920 (pow x 5)))) (- (* 1/6 (pow x 2)) (+ (* 1/24 (pow x 2)) (* 1/4 (pow x 2))))) (* x (pow y 6)))) (+ (* -1 (/ (* (+ (* 1/24 (pow x 3)) (* 1/4 (pow x 3))) (- (* -1/120 (pow x 4)) (+ (* -1 (/ (* (+ (* 1/24 (pow x 3)) (* 1/4 (pow x 3))) (- (* 1/6 (pow x 2)) (+ (* 1/24 (pow x 2)) (* 1/4 (pow x 2))))) x)) (+ (* -1/48 (pow x 4)) (+ (* -1/96 (pow x 4)) (* -1/1920 (pow x 4))))))) (* x (pow y 6)))) (+ (* -1 (/ (* (+ (* 1/24 (pow x 3)) (* 1/4 (pow x 3))) (- (* 1/6 (pow x 2)) (+ (* 1/24 (pow x 2)) (* 1/4 (pow x 2))))) (* x (pow y 4)))) (+ (* -1/48 (/ (pow x 4) (pow y 4))) (+ (* -1/96 (/ (pow x 4) (pow y 4))) (+ (* -1/1920 (/ (pow x 4) (pow y 4))) (+ (* 1/322560 (/ (pow x 6) (pow y 6))) (+ (* 1/7680 (/ (pow x 6) (pow y 6))) (+ (* 1/1440 (/ (pow x 6) (pow y 6))) (+ (* 1/1152 (/ (pow x 6) (pow y 6))) (+ (* 1/24 (/ (pow x 2) (pow y 2))) (* 1/4 (/ (pow x 2) (pow y 2))))))))))))))))
(* -1 (/ (+ x (* -1/6 (/ (pow x 3) (pow y 2)))) y))
(* -1 (/ (+ x (+ (* -1/6 (/ (pow x 3) (pow y 2))) (* 1/120 (/ (pow x 5) (pow y 4))))) y))
(* -1 (/ (+ x (+ (* -1/6 (/ (pow x 3) (pow y 2))) (+ (* -1/5040 (/ (pow x 7) (pow y 6))) (* 1/120 (/ (pow x 5) (pow y 4)))))) y))
(+ (* -1 (/ (- (+ (* -1/4 (/ (* (pow x 2) (pow (cos (- (PI) (* 1/2 (PI)))) 2)) (* y (pow (sin (- (PI) (* 1/2 (PI)))) 3)))) (* -1/8 (/ (pow x 2) (* y (sin (- (PI) (* 1/2 (PI)))))))) (* 1/2 (/ (* x (cos (- (PI) (* 1/2 (PI))))) (pow (sin (- (PI) (* 1/2 (PI)))) 2)))) y)) (/ 1 (sin (- (PI) (* 1/2 (PI))))))
(+ (* -1 (/ (- (* -1 (/ (- (+ (* -1/2 (/ (* x (* (cos (- (PI) (* 1/2 (PI)))) (+ (* -1/4 (/ (* (pow x 2) (pow (cos (- (PI) (* 1/2 (PI)))) 2)) (pow (sin (- (PI) (* 1/2 (PI)))) 3))) (* -1/8 (/ (pow x 2) (sin (- (PI) (* 1/2 (PI))))))))) (* y (sin (- (PI) (* 1/2 (PI))))))) (+ (* -1/48 (/ (* (pow x 3) (cos (- (PI) (* 1/2 (PI))))) (* y (pow (sin (- (PI) (* 1/2 (PI)))) 2)))) (* 1/16 (/ (* (pow x 3) (cos (- (PI) (* 1/2 (PI))))) (* y (pow (sin (- (PI) (* 1/2 (PI)))) 2)))))) (+ (* -1/4 (/ (* (pow x 2) (pow (cos (- (PI) (* 1/2 (PI)))) 2)) (pow (sin (- (PI) (* 1/2 (PI)))) 3))) (* -1/8 (/ (pow x 2) (sin (- (PI) (* 1/2 (PI)))))))) y)) (* 1/2 (/ (* x (cos (- (PI) (* 1/2 (PI))))) (pow (sin (- (PI) (* 1/2 (PI)))) 2)))) y)) (/ 1 (sin (- (PI) (* 1/2 (PI))))))
(* -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))

Calls

6 calls:

Time	Variable		Point	Expression
23.0ms	x	@	0	((cos (+ (+ (* (/ 1/2 y) x) (PI)) (PI))) (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/ 1 (cos (+ (+ (* (/ 1/2 y) x) (PI)) (PI)))) (+ (+ (* (/ 1/2 y) x) (PI)) (PI)) (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/ -1 (cos (+ (* -1/2 (/ x y)) (PI)))) (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (cos (+ (* -1/2 (/ x y)) (PI))) (+ (* -1/2 (/ x y)) (PI)) (sin (+ (neg (+ (* (/ 1/2 y) x) (/ (PI) 2))) (PI))) (+ (neg (+ (* (/ 1/2 y) x) (/ (PI) 2))) (PI)) (neg (+ (* (/ 1/2 y) x) (/ (PI) 2))) (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/ (sin (/ (neg x) y)) (+ 1 (cos (/ x y)))) (/ (/ (sin (/ (neg x) y)) (+ 1 (cos (/ x y)))) (sin (/ x (* y 2)))) (sin (/ (neg x) y)) (/ (neg x) y) (+ (* (/ 1/2 y) x) (PI)) (/ 1 (sin (+ (neg (+ (* (/ 1/2 y) x) (/ (PI) 2))) (PI)))) (+ (* (/ 1/2 y) x) (/ (PI) 2)) (cos (/ x y)) (sin (/ x (* y 2))))
21.0ms	y	@	0	((cos (+ (+ (* (/ 1/2 y) x) (PI)) (PI))) (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/ 1 (cos (+ (+ (* (/ 1/2 y) x) (PI)) (PI)))) (+ (+ (* (/ 1/2 y) x) (PI)) (PI)) (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/ -1 (cos (+ (* -1/2 (/ x y)) (PI)))) (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (cos (+ (* -1/2 (/ x y)) (PI))) (+ (* -1/2 (/ x y)) (PI)) (sin (+ (neg (+ (* (/ 1/2 y) x) (/ (PI) 2))) (PI))) (+ (neg (+ (* (/ 1/2 y) x) (/ (PI) 2))) (PI)) (neg (+ (* (/ 1/2 y) x) (/ (PI) 2))) (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/ (sin (/ (neg x) y)) (+ 1 (cos (/ x y)))) (/ (/ (sin (/ (neg x) y)) (+ 1 (cos (/ x y)))) (sin (/ x (* y 2)))) (sin (/ (neg x) y)) (/ (neg x) y) (+ (* (/ 1/2 y) x) (PI)) (/ 1 (sin (+ (neg (+ (* (/ 1/2 y) x) (/ (PI) 2))) (PI)))) (+ (* (/ 1/2 y) x) (/ (PI) 2)) (cos (/ x y)) (sin (/ x (* y 2))))
11.0ms	y	@	inf	((cos (+ (+ (* (/ 1/2 y) x) (PI)) (PI))) (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/ 1 (cos (+ (+ (* (/ 1/2 y) x) (PI)) (PI)))) (+ (+ (* (/ 1/2 y) x) (PI)) (PI)) (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/ -1 (cos (+ (* -1/2 (/ x y)) (PI)))) (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (cos (+ (* -1/2 (/ x y)) (PI))) (+ (* -1/2 (/ x y)) (PI)) (sin (+ (neg (+ (* (/ 1/2 y) x) (/ (PI) 2))) (PI))) (+ (neg (+ (* (/ 1/2 y) x) (/ (PI) 2))) (PI)) (neg (+ (* (/ 1/2 y) x) (/ (PI) 2))) (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/ (sin (/ (neg x) y)) (+ 1 (cos (/ x y)))) (/ (/ (sin (/ (neg x) y)) (+ 1 (cos (/ x y)))) (sin (/ x (* y 2)))) (sin (/ (neg x) y)) (/ (neg x) y) (+ (* (/ 1/2 y) x) (PI)) (/ 1 (sin (+ (neg (+ (* (/ 1/2 y) x) (/ (PI) 2))) (PI)))) (+ (* (/ 1/2 y) x) (/ (PI) 2)) (cos (/ x y)) (sin (/ x (* y 2))))
11.0ms	x	@	inf	((cos (+ (+ (* (/ 1/2 y) x) (PI)) (PI))) (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/ 1 (cos (+ (+ (* (/ 1/2 y) x) (PI)) (PI)))) (+ (+ (* (/ 1/2 y) x) (PI)) (PI)) (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/ -1 (cos (+ (* -1/2 (/ x y)) (PI)))) (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (cos (+ (* -1/2 (/ x y)) (PI))) (+ (* -1/2 (/ x y)) (PI)) (sin (+ (neg (+ (* (/ 1/2 y) x) (/ (PI) 2))) (PI))) (+ (neg (+ (* (/ 1/2 y) x) (/ (PI) 2))) (PI)) (neg (+ (* (/ 1/2 y) x) (/ (PI) 2))) (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/ (sin (/ (neg x) y)) (+ 1 (cos (/ x y)))) (/ (/ (sin (/ (neg x) y)) (+ 1 (cos (/ x y)))) (sin (/ x (* y 2)))) (sin (/ (neg x) y)) (/ (neg x) y) (+ (* (/ 1/2 y) x) (PI)) (/ 1 (sin (+ (neg (+ (* (/ 1/2 y) x) (/ (PI) 2))) (PI)))) (+ (* (/ 1/2 y) x) (/ (PI) 2)) (cos (/ x y)) (sin (/ x (* y 2))))
8.0ms	y	@	-inf	((cos (+ (+ (* (/ 1/2 y) x) (PI)) (PI))) (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/ 1 (cos (+ (+ (* (/ 1/2 y) x) (PI)) (PI)))) (+ (+ (* (/ 1/2 y) x) (PI)) (PI)) (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/ -1 (cos (+ (* -1/2 (/ x y)) (PI)))) (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (cos (+ (* -1/2 (/ x y)) (PI))) (+ (* -1/2 (/ x y)) (PI)) (sin (+ (neg (+ (* (/ 1/2 y) x) (/ (PI) 2))) (PI))) (+ (neg (+ (* (/ 1/2 y) x) (/ (PI) 2))) (PI)) (neg (+ (* (/ 1/2 y) x) (/ (PI) 2))) (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/ (sin (/ (neg x) y)) (+ 1 (cos (/ x y)))) (/ (/ (sin (/ (neg x) y)) (+ 1 (cos (/ x y)))) (sin (/ x (* y 2)))) (sin (/ (neg x) y)) (/ (neg x) y) (+ (* (/ 1/2 y) x) (PI)) (/ 1 (sin (+ (neg (+ (* (/ 1/2 y) x) (/ (PI) 2))) (PI)))) (+ (* (/ 1/2 y) x) (/ (PI) 2)) (cos (/ x y)) (sin (/ x (* y 2))))

simplify347.0ms (3.4%)

Memory

1.6MiB live, 154.9MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1106	5286
1	3712	4085
0	8915	3869

Stop Event

1×	iter limit
1×	node limit

Counts

150 → 150

Calls

Call 1

Inputs
(cos (* 2 (PI)))
(+ (cos (* 2 (PI))) (* -1/2 (/ (* x (sin (* 2 (PI)))) y)))
(+ (cos (* 2 (PI))) (* x (- (* -1/8 (/ (* x (cos (* 2 (PI)))) (pow y 2))) (* 1/2 (/ (sin (* 2 (PI))) y)))))
(+ (cos (* 2 (PI))) (* x (- (* x (+ (* -1/8 (/ (cos (* 2 (PI))) (pow y 2))) (* 1/48 (/ (* x (sin (* 2 (PI)))) (pow y 3))))) (* 1/2 (/ (sin (* 2 (PI))) 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 (* 2 (PI))))
(+ (* 1/2 (/ (* x (sin (* 2 (PI)))) (* y (pow (cos (* 2 (PI))) 2)))) (/ 1 (cos (* 2 (PI)))))
(+ (* x (- (* x (- (* 1/8 (/ 1 (* (pow y 2) (cos (* 2 (PI)))))) (* -1/4 (/ (pow (sin (* 2 (PI))) 2) (* (pow y 2) (pow (cos (* 2 (PI))) 3)))))) (* -1/2 (/ (sin (* 2 (PI))) (* y (pow (cos (* 2 (PI))) 2)))))) (/ 1 (cos (* 2 (PI)))))
(+ (* x (- (* x (- (+ (* -1 (* x (+ (* -1/2 (/ (* (sin (* 2 (PI))) (- (* 1/8 (/ 1 (* (pow y 2) (cos (* 2 (PI)))))) (* -1/4 (/ (pow (sin (* 2 (PI))) 2) (* (pow y 2) (pow (cos (* 2 (PI))) 3)))))) (* y (cos (* 2 (PI)))))) (+ (* -1/16 (/ (sin (* 2 (PI))) (* (pow y 3) (pow (cos (* 2 (PI))) 2)))) (* 1/48 (/ (sin (* 2 (PI))) (* (pow y 3) (pow (cos (* 2 (PI))) 2)))))))) (* 1/8 (/ 1 (* (pow y 2) (cos (* 2 (PI))))))) (* -1/4 (/ (pow (sin (* 2 (PI))) 2) (* (pow y 2) (pow (cos (* 2 (PI))) 3)))))) (* -1/2 (/ (sin (* 2 (PI))) (* y (pow (cos (* 2 (PI))) 2)))))) (/ 1 (cos (* 2 (PI)))))
(* 2 (PI))
(+ (* 1/2 (/ x y)) (* 2 (PI)))
(/ -1 (cos (PI)))
(- (* 1/2 (/ (* x (sin (PI))) (* y (pow (cos (PI)) 2)))) (/ 1 (cos (PI))))
(- (* x (- (* -1 (* x (+ (* 1/8 (/ 1 (* (pow y 2) (cos (PI))))) (* 1/4 (/ (pow (sin (PI)) 2) (* (pow y 2) (pow (cos (PI)) 3))))))) (* -1/2 (/ (sin (PI)) (* y (pow (cos (PI)) 2)))))) (/ 1 (cos (PI))))
(- (* x (- (* x (- (* -1 (* x (+ (* -1/2 (/ (* (sin (PI)) (+ (* 1/4 (/ (pow (sin (PI)) 2) (* (pow y 2) (pow (cos (PI)) 3)))) (* 1/8 (/ 1 (* (pow y 2) (cos (PI))))))) (* y (cos (PI))))) (+ (* -1/16 (/ (sin (PI)) (* (pow y 3) (pow (cos (PI)) 2)))) (* 1/48 (/ (sin (PI)) (* (pow y 3) (pow (cos (PI)) 2)))))))) (+ (* 1/8 (/ 1 (* (pow y 2) (cos (PI))))) (* 1/4 (/ (pow (sin (PI)) 2) (* (pow y 2) (pow (cos (PI)) 3))))))) (* -1/2 (/ (sin (PI)) (* y (pow (cos (PI)) 2)))))) (/ 1 (cos (PI))))
(cos (PI))
(+ (cos (PI)) (* 1/2 (/ (* x (sin (PI))) y)))
(+ (cos (PI)) (* x (- (* -1/8 (/ (* x (cos (PI))) (pow y 2))) (* -1/2 (/ (sin (PI)) y)))))
(+ (cos (PI)) (* x (- (* x (+ (* -1/8 (/ (cos (PI)) (pow y 2))) (* -1/48 (/ (* x (sin (PI))) (pow y 3))))) (* -1/2 (/ (sin (PI)) y)))))
(PI)
(+ (PI) (* -1/2 (/ x y)))
(sin (- (PI) (* 1/2 (PI))))
(+ (sin (- (PI) (* 1/2 (PI)))) (* -1/2 (/ (* x (cos (- (PI) (* 1/2 (PI))))) y)))
(+ (sin (- (PI) (* 1/2 (PI)))) (* x (+ (* -1/2 (/ (cos (- (PI) (* 1/2 (PI)))) y)) (* -1/8 (/ (* x (sin (- (PI) (* 1/2 (PI))))) (pow y 2))))))
(+ (sin (- (PI) (* 1/2 (PI)))) (* x (+ (* -1/2 (/ (cos (- (PI) (* 1/2 (PI)))) y)) (* x (+ (* -1/8 (/ (sin (- (PI) (* 1/2 (PI)))) (pow y 2))) (* 1/48 (/ (* x (cos (- (PI) (* 1/2 (PI))))) (pow y 3))))))))
(- (PI) (* 1/2 (PI)))
(- (+ (PI) (* -1/2 (/ x y))) (* 1/2 (PI)))
(* -1/2 (PI))
(- (* -1/2 (/ x y)) (* 1/2 (PI)))
(* -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))))
-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) (- (* (pow x 2) (- (* 269/64512 (/ 1 (pow y 6))) (* 443/80640 (/ 1 (pow y 6))))) (* 5/384 (/ 1 (pow y 4))))) (* 1/8 (/ 1 (pow y 2))))) 1)
(* -1 (/ x y))
(* x (- (* 1/6 (/ (pow x 2) (pow y 3))) (/ 1 y)))
(* x (- (* (pow x 2) (+ (* -1/120 (/ (pow x 2) (pow y 5))) (* 1/6 (/ 1 (pow y 3))))) (/ 1 y)))
(* x (- (* (pow x 2) (+ (* (pow x 2) (- (* 1/5040 (/ (pow x 2) (pow y 7))) (* 1/120 (/ 1 (pow y 5))))) (* 1/6 (/ 1 (pow y 3))))) (/ 1 y)))
(+ (PI) (* 1/2 (/ x y)))
(/ 1 (sin (- (PI) (* 1/2 (PI)))))
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(- (+ (* -1/120 (/ (pow x 4) (pow y 4))) (+ (* 1/5040 (/ (pow x 6) (pow y 6))) (* 1/6 (/ (pow x 2) (pow y 2))))) (+ 1 (+ (* -1 (/ (* (+ (* -1/48 (pow x 5)) (+ (* -1/96 (pow x 5)) (* -1/1920 (pow x 5)))) (- (* 1/6 (pow x 2)) (+ (* 1/24 (pow x 2)) (* 1/4 (pow x 2))))) (* x (pow y 6)))) (+ (* -1 (/ (* (+ (* 1/24 (pow x 3)) (* 1/4 (pow x 3))) (- (* -1/120 (pow x 4)) (+ (* -1 (/ (* (+ (* 1/24 (pow x 3)) (* 1/4 (pow x 3))) (- (* 1/6 (pow x 2)) (+ (* 1/24 (pow x 2)) (* 1/4 (pow x 2))))) x)) (+ (* -1/48 (pow x 4)) (+ (* -1/96 (pow x 4)) (* -1/1920 (pow x 4))))))) (* x (pow y 6)))) (+ (* -1 (/ (* (+ (* 1/24 (pow x 3)) (* 1/4 (pow x 3))) (- (* 1/6 (pow x 2)) (+ (* 1/24 (pow x 2)) (* 1/4 (pow x 2))))) (* x (pow y 4)))) (+ (* -1/48 (/ (pow x 4) (pow y 4))) (+ (* -1/96 (/ (pow x 4) (pow y 4))) (+ (* -1/1920 (/ (pow x 4) (pow y 4))) (+ (* 1/322560 (/ (pow x 6) (pow y 6))) (+ (* 1/7680 (/ (pow x 6) (pow y 6))) (+ (* 1/1440 (/ (pow x 6) (pow y 6))) (+ (* 1/1152 (/ (pow x 6) (pow y 6))) (+ (* 1/24 (/ (pow x 2) (pow y 2))) (* 1/4 (/ (pow x 2) (pow y 2))))))))))))))))
(* -1 (/ (+ x (* -1/6 (/ (pow x 3) (pow y 2)))) y))
(* -1 (/ (+ x (+ (* -1/6 (/ (pow x 3) (pow y 2))) (* 1/120 (/ (pow x 5) (pow y 4))))) y))
(* -1 (/ (+ x (+ (* -1/6 (/ (pow x 3) (pow y 2))) (+ (* -1/5040 (/ (pow x 7) (pow y 6))) (* 1/120 (/ (pow x 5) (pow y 4)))))) y))
(+ (* -1 (/ (- (+ (* -1/4 (/ (* (pow x 2) (pow (cos (- (PI) (* 1/2 (PI)))) 2)) (* y (pow (sin (- (PI) (* 1/2 (PI)))) 3)))) (* -1/8 (/ (pow x 2) (* y (sin (- (PI) (* 1/2 (PI)))))))) (* 1/2 (/ (* x (cos (- (PI) (* 1/2 (PI))))) (pow (sin (- (PI) (* 1/2 (PI)))) 2)))) y)) (/ 1 (sin (- (PI) (* 1/2 (PI))))))
(+ (* -1 (/ (- (* -1 (/ (- (+ (* -1/2 (/ (* x (* (cos (- (PI) (* 1/2 (PI)))) (+ (* -1/4 (/ (* (pow x 2) (pow (cos (- (PI) (* 1/2 (PI)))) 2)) (pow (sin (- (PI) (* 1/2 (PI)))) 3))) (* -1/8 (/ (pow x 2) (sin (- (PI) (* 1/2 (PI))))))))) (* y (sin (- (PI) (* 1/2 (PI))))))) (+ (* -1/48 (/ (* (pow x 3) (cos (- (PI) (* 1/2 (PI))))) (* y (pow (sin (- (PI) (* 1/2 (PI)))) 2)))) (* 1/16 (/ (* (pow x 3) (cos (- (PI) (* 1/2 (PI))))) (* y (pow (sin (- (PI) (* 1/2 (PI)))) 2)))))) (+ (* -1/4 (/ (* (pow x 2) (pow (cos (- (PI) (* 1/2 (PI)))) 2)) (pow (sin (- (PI) (* 1/2 (PI)))) 3))) (* -1/8 (/ (pow x 2) (sin (- (PI) (* 1/2 (PI)))))))) y)) (* 1/2 (/ (* x (cos (- (PI) (* 1/2 (PI))))) (pow (sin (- (PI) (* 1/2 (PI)))) 2)))) y)) (/ 1 (sin (- (PI) (* 1/2 (PI))))))
(* -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
(cos (* 2 (PI)))
#s(literal 1 binary64)
(+ (cos (* 2 (PI))) (* -1/2 (/ (* x (sin (* 2 (PI)))) y)))
#s(literal 1 binary64)
(+ (cos (* 2 (PI))) (* x (- (* -1/8 (/ (* x (cos (* 2 (PI)))) (pow y 2))) (* 1/2 (/ (sin (* 2 (PI))) y)))))
(fma.f64 (fma.f64 (/.f64 #s(literal -1/8 binary64) y) (/.f64 (*.f64 #s(literal 1 binary64) x) y) #s(literal 0 binary64)) x #s(literal 1 binary64))
(+ (cos (* 2 (PI))) (* x (- (* x (+ (* -1/8 (/ (cos (* 2 (PI))) (pow y 2))) (* 1/48 (/ (* x (sin (* 2 (PI)))) (pow y 3))))) (* 1/2 (/ (sin (* 2 (PI))) y)))))
(fma.f64 (fma.f64 (-.f64 (/.f64 #s(literal -1/8 binary64) (*.f64 y y)) #s(literal 0 binary64)) x #s(literal 0 binary64)) x #s(literal 1 binary64))
1
#s(literal 1 binary64)
(+ 1 (* 1/8 (/ (pow x 2) (pow y 2))))
(fma.f64 (/.f64 #s(literal 1/8 binary64) y) (/.f64 (*.f64 x x) 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 (fma.f64 (/.f64 (.f64 x x) (pow.f64 y #s(literal 4 binary64))) #s(literal 5/384 binary64) (/.f64 #s(literal 1/8 binary64) (.f64 y y))) (*.f64 x x) #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 (fma.f64 (fma.f64 (/.f64 (.f64 x x) (pow.f64 y #s(literal 6 binary64))) #s(literal 61/46080 binary64) (/.f64 #s(literal 5/384 binary64) (pow.f64 y #s(literal 4 binary64)))) (.f64 x x) (/.f64 #s(literal 1/8 binary64) (.f64 y y))) (.f64 x x) #s(literal 1 binary64))
(/ 1 (cos (* 2 (PI))))
#s(literal 1 binary64)
(+ (* 1/2 (/ (* x (sin (* 2 (PI)))) (* y (pow (cos (* 2 (PI))) 2)))) (/ 1 (cos (* 2 (PI)))))
#s(literal 1 binary64)
(+ (* x (- (* x (- (* 1/8 (/ 1 (* (pow y 2) (cos (* 2 (PI)))))) (* -1/4 (/ (pow (sin (* 2 (PI))) 2) (* (pow y 2) (pow (cos (* 2 (PI))) 3)))))) (* -1/2 (/ (sin (* 2 (PI))) (* y (pow (cos (* 2 (PI))) 2)))))) (/ 1 (cos (* 2 (PI)))))
(fma.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1/8 binary64) (.f64 #s(literal 1 binary64) (.f64 y y))) #s(literal 0 binary64)) x #s(literal 0 binary64)) x #s(literal 1 binary64))
(+ (* x (- (* x (- (+ (* -1 (* x (+ (* -1/2 (/ (* (sin (* 2 (PI))) (- (* 1/8 (/ 1 (* (pow y 2) (cos (* 2 (PI)))))) (* -1/4 (/ (pow (sin (* 2 (PI))) 2) (* (pow y 2) (pow (cos (* 2 (PI))) 3)))))) (* y (cos (* 2 (PI)))))) (+ (* -1/16 (/ (sin (* 2 (PI))) (* (pow y 3) (pow (cos (* 2 (PI))) 2)))) (* 1/48 (/ (sin (* 2 (PI))) (* (pow y 3) (pow (cos (* 2 (PI))) 2)))))))) (* 1/8 (/ 1 (* (pow y 2) (cos (* 2 (PI))))))) (* -1/4 (/ (pow (sin (* 2 (PI))) 2) (* (pow y 2) (pow (cos (* 2 (PI))) 3)))))) (* -1/2 (/ (sin (* 2 (PI))) (* y (pow (cos (* 2 (PI))) 2)))))) (/ 1 (cos (* 2 (PI)))))
(fma.f64 (fma.f64 (fma.f64 (neg.f64 x) (fma.f64 (/.f64 (fma.f64 #s(literal 0 binary64) (/.f64 #s(literal 1/8 binary64) (.f64 #s(literal 1 binary64) (.f64 y y))) #s(literal 0 binary64)) y) #s(literal -1/2 binary64) #s(literal 0 binary64)) (-.f64 (/.f64 #s(literal 1/8 binary64) (.f64 #s(literal 1 binary64) (.f64 y y))) #s(literal 0 binary64))) x #s(literal 0 binary64)) x #s(literal 1 binary64))
(* 2 (PI))
(*.f64 (PI.f64) #s(literal 2 binary64))
(+ (* 1/2 (/ x y)) (* 2 (PI)))
(fma.f64 (/.f64 x y) #s(literal 1/2 binary64) (*.f64 (PI.f64) #s(literal 2 binary64)))
(/ -1 (cos (PI)))
#s(literal 1 binary64)
(- (* 1/2 (/ (* x (sin (PI))) (* y (pow (cos (PI)) 2)))) (/ 1 (cos (PI))))
#s(literal 1 binary64)
(- (* x (- (* -1 (* x (+ (* 1/8 (/ 1 (* (pow y 2) (cos (PI))))) (* 1/4 (/ (pow (sin (PI)) 2) (* (pow y 2) (pow (cos (PI)) 3))))))) (* -1/2 (/ (sin (PI)) (* y (pow (cos (PI)) 2)))))) (/ 1 (cos (PI))))
(-.f64 (.f64 (.f64 (neg.f64 (/.f64 #s(literal 1/8 binary64) (neg.f64 (*.f64 y y)))) x) x) #s(literal -1 binary64))
(- (* x (- (* x (- (* -1 (* x (+ (* -1/2 (/ (* (sin (PI)) (+ (* 1/4 (/ (pow (sin (PI)) 2) (* (pow y 2) (pow (cos (PI)) 3)))) (* 1/8 (/ 1 (* (pow y 2) (cos (PI))))))) (* y (cos (PI))))) (+ (* -1/16 (/ (sin (PI)) (* (pow y 3) (pow (cos (PI)) 2)))) (* 1/48 (/ (sin (PI)) (* (pow y 3) (pow (cos (PI)) 2)))))))) (+ (* 1/8 (/ 1 (* (pow y 2) (cos (PI))))) (* 1/4 (/ (pow (sin (PI)) 2) (* (pow y 2) (pow (cos (PI)) 3))))))) (* -1/2 (/ (sin (PI)) (* y (pow (cos (PI)) 2)))))) (/ 1 (cos (PI))))
(-.f64 (.f64 (fma.f64 (-.f64 #s(literal 0 binary64) (/.f64 #s(literal 1/8 binary64) (neg.f64 (.f64 y y)))) x #s(literal 0 binary64)) x) #s(literal -1 binary64))
(cos (PI))
#s(literal -1 binary64)
(+ (cos (PI)) (* 1/2 (/ (* x (sin (PI))) y)))
#s(literal -1 binary64)
(+ (cos (PI)) (* x (- (* -1/8 (/ (* x (cos (PI))) (pow y 2))) (* -1/2 (/ (sin (PI)) y)))))
(fma.f64 (fma.f64 (/.f64 #s(literal -1/8 binary64) y) (/.f64 (neg.f64 x) y) #s(literal 0 binary64)) x #s(literal -1 binary64))
(+ (cos (PI)) (* x (- (* x (+ (* -1/8 (/ (cos (PI)) (pow y 2))) (* -1/48 (/ (* x (sin (PI))) (pow y 3))))) (* -1/2 (/ (sin (PI)) y)))))
(fma.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 y y)) #s(literal 0 binary64)) x #s(literal 0 binary64)) x #s(literal -1 binary64))
(PI)
(PI.f64)
(+ (PI) (* -1/2 (/ x y)))
(fma.f64 (/.f64 x y) #s(literal -1/2 binary64) (PI.f64))
(sin (- (PI) (* 1/2 (PI))))
(sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)))
(+ (sin (- (PI) (* 1/2 (PI)))) (* -1/2 (/ (* x (cos (- (PI) (* 1/2 (PI))))) y)))
(fma.f64 (.f64 x (/.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) (PI.f64))) y)) #s(literal -1/2 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))))
(+ (sin (- (PI) (* 1/2 (PI)))) (* x (+ (* -1/2 (/ (cos (- (PI) (* 1/2 (PI)))) y)) (* -1/8 (/ (* x (sin (- (PI) (* 1/2 (PI))))) (pow y 2))))))
(fma.f64 (fma.f64 (.f64 x (/.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) (PI.f64))) (.f64 y y))) #s(literal -1/8 binary64) (.f64 (/.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) (PI.f64))) y) #s(literal -1/2 binary64))) x (sin.f64 (.f64 #s(literal 1/2 binary64) (PI.f64))))
(+ (sin (- (PI) (* 1/2 (PI)))) (* x (+ (* -1/2 (/ (cos (- (PI) (* 1/2 (PI)))) y)) (* x (+ (* -1/8 (/ (sin (- (PI) (* 1/2 (PI)))) (pow y 2))) (* 1/48 (/ (* x (cos (- (PI) (* 1/2 (PI))))) (pow y 3))))))))
(fma.f64 (fma.f64 (fma.f64 (/.f64 #s(literal -1/8 binary64) y) (/.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) (PI.f64))) y) (.f64 (.f64 x (/.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) (PI.f64))) (pow.f64 y #s(literal 3 binary64)))) #s(literal 1/48 binary64))) x (.f64 (/.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) (PI.f64))) y) #s(literal -1/2 binary64))) x (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))))
(- (PI) (* 1/2 (PI)))
(*.f64 #s(literal 1/2 binary64) (PI.f64))
(- (+ (PI) (* -1/2 (/ x y))) (* 1/2 (PI)))
(+.f64 (PI.f64) (*.f64 #s(literal -1/2 binary64) (+.f64 (/.f64 x y) (PI.f64))))
(* -1/2 (PI))
(*.f64 #s(literal -1/2 binary64) (PI.f64))
(- (* -1/2 (/ x y)) (* 1/2 (PI)))
(*.f64 #s(literal -1/2 binary64) (+.f64 (/.f64 x y) (PI.f64)))
(* -1/2 (/ x y))
(*.f64 (/.f64 x y) #s(literal -1/2 binary64))
(* x (- (* -1/24 (/ (pow x 2) (pow y 3))) (* 1/2 (/ 1 y))))
(.f64 (-.f64 (/.f64 (.f64 #s(literal -1/24 binary64) (*.f64 x x)) (pow.f64 y #s(literal 3 binary64))) (/.f64 #s(literal 1/2 binary64) y)) x)
(* x (- (* (pow x 2) (- (* -1/240 (/ (pow x 2) (pow y 5))) (* 1/24 (/ 1 (pow y 3))))) (* 1/2 (/ 1 y))))
(.f64 (-.f64 (.f64 (-.f64 (/.f64 (.f64 #s(literal -1/240 binary64) (.f64 x x)) (pow.f64 y #s(literal 5 binary64))) (/.f64 #s(literal 1/24 binary64) (pow.f64 y #s(literal 3 binary64)))) (*.f64 x x)) (/.f64 #s(literal 1/2 binary64) y)) x)
(* 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))))
(.f64 (-.f64 (.f64 (-.f64 (.f64 (-.f64 (/.f64 (.f64 #s(literal -17/40320 binary64) (.f64 x x)) (pow.f64 y #s(literal 7 binary64))) (/.f64 #s(literal 1/240 binary64) (pow.f64 y #s(literal 5 binary64)))) (.f64 x x)) (/.f64 #s(literal 1/24 binary64) (pow.f64 y #s(literal 3 binary64)))) (*.f64 x x)) (/.f64 #s(literal 1/2 binary64) y)) x)
-1
#s(literal -1 binary64)
(- (* -1/8 (/ (pow x 2) (pow y 2))) 1)
(-.f64 (.f64 (/.f64 #s(literal -1/8 binary64) y) (/.f64 (.f64 x x) y)) #s(literal 1 binary64))
(- (* (pow x 2) (- (* -5/384 (/ (pow x 2) (pow y 4))) (* 1/8 (/ 1 (pow y 2))))) 1)
(-.f64 (.f64 (fma.f64 #s(literal -5/384 binary64) (/.f64 (.f64 x x) (pow.f64 y #s(literal 4 binary64))) (/.f64 #s(literal -1/8 binary64) (.f64 y y))) (.f64 x x)) #s(literal 1 binary64))
(- (* (pow x 2) (- (* (pow x 2) (- (* (pow x 2) (- (* 269/64512 (/ 1 (pow y 6))) (* 443/80640 (/ 1 (pow y 6))))) (* 5/384 (/ 1 (pow y 4))))) (* 1/8 (/ 1 (pow y 2))))) 1)
(-.f64 (.f64 (fma.f64 (-.f64 (.f64 (.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 6 binary64))) #s(literal -61/46080 binary64)) (.f64 x x)) (/.f64 #s(literal 5/384 binary64) (pow.f64 y #s(literal 4 binary64)))) (.f64 x x) (/.f64 #s(literal -1/8 binary64) (.f64 y y))) (*.f64 x x)) #s(literal 1 binary64))
(* -1 (/ x y))
(/.f64 (neg.f64 x) y)
(* x (- (* 1/6 (/ (pow x 2) (pow y 3))) (/ 1 y)))
(.f64 (-.f64 (/.f64 (.f64 #s(literal 1/6 binary64) (*.f64 x x)) (pow.f64 y #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) y)) x)
(* x (- (* (pow x 2) (+ (* -1/120 (/ (pow x 2) (pow y 5))) (* 1/6 (/ 1 (pow y 3))))) (/ 1 y)))
(.f64 (-.f64 (.f64 (fma.f64 #s(literal -1/120 binary64) (/.f64 (.f64 x x) (pow.f64 y #s(literal 5 binary64))) (/.f64 #s(literal 1/6 binary64) (pow.f64 y #s(literal 3 binary64)))) (.f64 x x)) (/.f64 #s(literal 1 binary64) y)) x)
(* x (- (* (pow x 2) (+ (* (pow x 2) (- (* 1/5040 (/ (pow x 2) (pow y 7))) (* 1/120 (/ 1 (pow y 5))))) (* 1/6 (/ 1 (pow y 3))))) (/ 1 y)))
(.f64 (-.f64 (.f64 (fma.f64 (-.f64 (/.f64 (.f64 #s(literal 1/5040 binary64) (.f64 x x)) (pow.f64 y #s(literal 7 binary64))) (/.f64 #s(literal 1/120 binary64) (pow.f64 y #s(literal 5 binary64)))) (.f64 x x) (/.f64 #s(literal 1/6 binary64) (pow.f64 y #s(literal 3 binary64)))) (.f64 x x)) (/.f64 #s(literal 1 binary64) y)) x)
(+ (PI) (* 1/2 (/ x y)))
(fma.f64 (/.f64 x y) #s(literal 1/2 binary64) (PI.f64))
(/ 1 (sin (- (PI) (* 1/2 (PI)))))
(/.f64 #s(literal 1 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))))
(+ (* 1/2 (/ (* x (cos (- (PI) (* 1/2 (PI))))) (* y (pow (sin (- (PI) (* 1/2 (PI)))) 2)))) (/ 1 (sin (- (PI) (* 1/2 (PI))))))
(fma.f64 (.f64 x (/.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) (PI.f64))) (pow.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) (PI.f64))) #s(literal 2 binary64)))) (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal 1 binary64) (sin.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)))))
(+ (* x (- (* x (- (* 1/8 (/ 1 (* (pow y 2) (sin (- (PI) (* 1/2 (PI))))))) (* -1/4 (/ (pow (cos (- (PI) (* 1/2 (PI)))) 2) (* (pow y 2) (pow (sin (- (PI) (* 1/2 (PI)))) 3)))))) (* -1/2 (/ (cos (- (PI) (* 1/2 (PI)))) (* y (pow (sin (- (PI) (* 1/2 (PI)))) 2)))))) (/ 1 (sin (- (PI) (* 1/2 (PI))))))
(fma.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1/8 binary64) (.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) (PI.f64))) (.f64 y y))) (.f64 (/.f64 #s(literal -1/4 binary64) (pow.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) (PI.f64))) #s(literal 3 binary64))) (/.f64 (pow.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) (PI.f64))) #s(literal 2 binary64)) (.f64 y y)))) x (.f64 #s(literal 1/2 binary64) (/.f64 (/.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) (PI.f64))) y) (pow.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) (PI.f64))) #s(literal 2 binary64))))) x (/.f64 #s(literal 1 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)))))
(+ (* x (- (* x (- (+ (* -1 (* x (+ (* -1/2 (/ (* (cos (- (PI) (* 1/2 (PI)))) (- (* 1/8 (/ 1 (* (pow y 2) (sin (- (PI) (* 1/2 (PI))))))) (* -1/4 (/ (pow (cos (- (PI) (* 1/2 (PI)))) 2) (* (pow y 2) (pow (sin (- (PI) (* 1/2 (PI)))) 3)))))) (* y (sin (- (PI) (* 1/2 (PI))))))) (+ (* -1/16 (/ (cos (- (PI) (* 1/2 (PI)))) (* (pow y 3) (pow (sin (- (PI) (* 1/2 (PI)))) 2)))) (* 1/48 (/ (cos (- (PI) (* 1/2 (PI)))) (* (pow y 3) (pow (sin (- (PI) (* 1/2 (PI)))) 2)))))))) (* 1/8 (/ 1 (* (pow y 2) (sin (- (PI) (* 1/2 (PI)))))))) (* -1/4 (/ (pow (cos (- (PI) (* 1/2 (PI)))) 2) (* (pow y 2) (pow (sin (- (PI) (* 1/2 (PI)))) 3)))))) (* -1/2 (/ (cos (- (PI) (* 1/2 (PI)))) (* y (pow (sin (- (PI) (* 1/2 (PI)))) 2)))))) (/ 1 (sin (- (PI) (* 1/2 (PI))))))
(fma.f64 (fma.f64 (fma.f64 (neg.f64 x) (fma.f64 (/.f64 #s(literal -1/2 binary64) (sin.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)))) (/.f64 (.f64 (-.f64 (/.f64 #s(literal 1/8 binary64) (.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) (PI.f64))) (.f64 y y))) (.f64 (/.f64 #s(literal -1/4 binary64) (pow.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) (PI.f64))) #s(literal 3 binary64))) (/.f64 (pow.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) (PI.f64))) #s(literal 2 binary64)) (.f64 y y)))) (cos.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)))) y) (.f64 (/.f64 (/.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) (PI.f64))) (pow.f64 y #s(literal 3 binary64))) (pow.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) (PI.f64))) #s(literal 2 binary64))) #s(literal -1/24 binary64))) (-.f64 (/.f64 #s(literal 1/8 binary64) (.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) (PI.f64))) (.f64 y y))) (.f64 (/.f64 #s(literal -1/4 binary64) (pow.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) (PI.f64))) #s(literal 3 binary64))) (/.f64 (pow.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) (PI.f64))) #s(literal 2 binary64)) (.f64 y y))))) x (.f64 #s(literal 1/2 binary64) (/.f64 (/.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) (PI.f64))) y) (pow.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) (PI.f64))) #s(literal 2 binary64))))) x (/.f64 #s(literal 1 binary64) (sin.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)))))
(* 1/2 (PI))
(*.f64 #s(literal 1/2 binary64) (PI.f64))
(+ (* 1/2 (PI)) (* 1/2 (/ x y)))
(*.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 x y) (PI.f64)))
(+ 1 (* -1/2 (/ (pow x 2) (pow y 2))))
(fma.f64 (/.f64 #s(literal -1/2 binary64) y) (/.f64 (*.f64 x x) y) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (- (* 1/24 (/ (pow x 2) (pow y 4))) (* 1/2 (/ 1 (pow y 2))))))
(fma.f64 (-.f64 (/.f64 (.f64 #s(literal 1/24 binary64) (.f64 x x)) (pow.f64 y #s(literal 4 binary64))) (/.f64 #s(literal 1/2 binary64) (.f64 y y))) (.f64 x x) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ (* -1/720 (/ (pow x 2) (pow y 6))) (* 1/24 (/ 1 (pow y 4))))) (* 1/2 (/ 1 (pow y 2))))))
(fma.f64 (-.f64 (.f64 (fma.f64 #s(literal -1/720 binary64) (/.f64 (.f64 x x) (pow.f64 y #s(literal 6 binary64))) (/.f64 #s(literal 1/24 binary64) (pow.f64 y #s(literal 4 binary64)))) (.f64 x x)) (/.f64 #s(literal 1/2 binary64) (.f64 y y))) (*.f64 x x) #s(literal 1 binary64))
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(+ (* -1 (/ (- (+ (* -1/4 (/ (* (pow x 2) (pow (cos (- (PI) (* 1/2 (PI)))) 2)) (* y (pow (sin (- (PI) (* 1/2 (PI)))) 3)))) (* -1/8 (/ (pow x 2) (* y (sin (- (PI) (* 1/2 (PI)))))))) (* 1/2 (/ (* x (cos (- (PI) (* 1/2 (PI))))) (pow (sin (- (PI) (* 1/2 (PI)))) 2)))) y)) (/ 1 (sin (- (PI) (* 1/2 (PI))))))
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(+ (* -1 (/ (- (* -1 (/ (- (+ (* -1/2 (/ (* x (* (cos (- (PI) (* 1/2 (PI)))) (+ (* -1/4 (/ (* (pow x 2) (pow (cos (- (PI) (* 1/2 (PI)))) 2)) (pow (sin (- (PI) (* 1/2 (PI)))) 3))) (* -1/8 (/ (pow x 2) (sin (- (PI) (* 1/2 (PI))))))))) (* y (sin (- (PI) (* 1/2 (PI))))))) (+ (* -1/48 (/ (* (pow x 3) (cos (- (PI) (* 1/2 (PI))))) (* y (pow (sin (- (PI) (* 1/2 (PI)))) 2)))) (* 1/16 (/ (* (pow x 3) (cos (- (PI) (* 1/2 (PI))))) (* y (pow (sin (- (PI) (* 1/2 (PI)))) 2)))))) (+ (* -1/4 (/ (* (pow x 2) (pow (cos (- (PI) (* 1/2 (PI)))) 2)) (pow (sin (- (PI) (* 1/2 (PI)))) 3))) (* -1/8 (/ (pow x 2) (sin (- (PI) (* 1/2 (PI)))))))) y)) (* 1/2 (/ (* x (cos (- (PI) (* 1/2 (PI))))) (pow (sin (- (PI) (* 1/2 (PI)))) 2)))) y)) (/ 1 (sin (- (PI) (* 1/2 (PI))))))
(fma.f64 (/.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 #s(literal -1/2 binary64) (sin.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)))) (/.f64 (.f64 (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) (PI.f64))) x) (fma.f64 (/.f64 (.f64 (pow.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) (PI.f64))) #s(literal 2 binary64)) (.f64 x x)) (pow.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) (PI.f64))) #s(literal 3 binary64))) #s(literal -1/4 binary64) (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 x x)) (sin.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)))))) y) (-.f64 (.f64 (.f64 (/.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) (PI.f64))) (pow.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) (PI.f64))) #s(literal 2 binary64))) (/.f64 (pow.f64 x #s(literal 3 binary64)) y)) #s(literal 1/24 binary64)) (fma.f64 (/.f64 (.f64 (pow.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) (PI.f64))) #s(literal 2 binary64)) (.f64 x x)) (pow.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) (PI.f64))) #s(literal 3 binary64))) #s(literal -1/4 binary64) (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 x x)) (sin.f64 (.f64 #s(literal 1/2 binary64) (PI.f64))))))) y) #s(literal -1 binary64) (.f64 #s(literal -1/2 binary64) (.f64 x (/.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) (PI.f64))) (pow.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) (PI.f64))) #s(literal 2 binary64)))))) y) #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)))))
(* -1 (/ (+ (* -1/2 x) (* 1/48 (/ (pow x 3) (pow y 2)))) y))
(/.f64 (fma.f64 (/.f64 #s(literal 1/48 binary64) y) (/.f64 (pow.f64 x #s(literal 3 binary64)) y) (*.f64 #s(literal -1/2 binary64) x)) (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 #s(literal -1/2 binary64) x (fma.f64 (/.f64 #s(literal 1/48 binary64) y) (/.f64 (pow.f64 x #s(literal 3 binary64)) y) (/.f64 (*.f64 #s(literal -1/3840 binary64) (pow.f64 x #s(literal 5 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 #s(literal -1/2 binary64) x (fma.f64 #s(literal -1/3840 binary64) (/.f64 (pow.f64 x #s(literal 5 binary64)) (pow.f64 y #s(literal 4 binary64))) (fma.f64 (/.f64 #s(literal 1/48 binary64) y) (/.f64 (pow.f64 x #s(literal 3 binary64)) y) (/.f64 (*.f64 #s(literal 1/645120 binary64) (pow.f64 x #s(literal 7 binary64))) (pow.f64 y #s(literal 6 binary64)))))) (neg.f64 y))

rewrite247.0ms (2.4%)

Memory

2.1MiB live, 238.4MiB allocated

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	42	251
0	71	236
1	240	220
2	1713	218
0	8549	218

Stop Event

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

Counts

22 → 619

Calls

Call 1

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

Outputs
(/.f64 (neg.f64 (fma.f64 (pow.f64 (cos.f64 (fma.f64 x (/.f64 #s(literal 1/2 binary64) y) (PI.f64))) #s(literal 3 binary64)) #s(literal -1 binary64) (.f64 (pow.f64 (sin.f64 (fma.f64 x (/.f64 #s(literal 1/2 binary64) y) (PI.f64))) #s(literal 3 binary64)) #s(literal 0 binary64)))) (neg.f64 (+.f64 (pow.f64 (.f64 (cos.f64 (fma.f64 x (/.f64 #s(literal 1/2 binary64) y) (PI.f64))) #s(literal -1 binary64)) #s(literal 2 binary64)) (-.f64 (pow.f64 (.f64 (sin.f64 (fma.f64 x (/.f64 #s(literal 1/2 binary64) y) (PI.f64))) #s(literal 0 binary64)) #s(literal 2 binary64)) (.f64 (.f64 (cos.f64 (fma.f64 x (/.f64 #s(literal 1/2 binary64) y) (PI.f64))) #s(literal -1 binary64)) (.f64 (sin.f64 (fma.f64 x (/.f64 #s(literal 1/2 binary64) y) (PI.f64))) #s(literal 0 binary64)))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (.f64 (cos.f64 (fma.f64 x (/.f64 #s(literal 1/2 binary64) y) (PI.f64))) #s(literal -1 binary64)) #s(literal 2 binary64)) (pow.f64 (.f64 (sin.f64 (fma.f64 x (/.f64 #s(literal 1/2 binary64) y) (PI.f64))) #s(literal 0 binary64)) #s(literal 2 binary64)))) (cos.f64 (fma.f64 x (/.f64 #s(literal 1/2 binary64) y) (PI.f64))))
(/.f64 (neg.f64 (-.f64 (.f64 (pow.f64 (cos.f64 (fma.f64 x (/.f64 #s(literal 1/2 binary64) y) (PI.f64))) #s(literal 3 binary64)) #s(literal -1 binary64)) (.f64 (pow.f64 (sin.f64 (fma.f64 x (/.f64 #s(literal 1/2 binary64) y) (PI.f64))) #s(literal 3 binary64)) #s(literal 0 binary64)))) (neg.f64 (+.f64 (pow.f64 (.f64 (cos.f64 (fma.f64 x (/.f64 #s(literal 1/2 binary64) y) (PI.f64))) #s(literal -1 binary64)) #s(literal 2 binary64)) (+.f64 (pow.f64 (.f64 (sin.f64 (fma.f64 x (/.f64 #s(literal 1/2 binary64) y) (PI.f64))) #s(literal 0 binary64)) #s(literal 2 binary64)) (.f64 (.f64 (cos.f64 (fma.f64 x (/.f64 #s(literal 1/2 binary64) y) (PI.f64))) #s(literal -1 binary64)) (*.f64 (sin.f64 (fma.f64 x (/.f64 #s(literal 1/2 binary64) y) (PI.f64))) #s(literal 0 binary64)))))))
(/.f64 (-.f64 (.f64 (+.f64 (neg.f64 (cos.f64 (fma.f64 x (/.f64 #s(literal 1/2 binary64) y) (PI.f64)))) (neg.f64 (cos.f64 (fma.f64 x (/.f64 #s(literal 1/2 binary64) y) (PI.f64))))) #s(literal 2 binary64)) (.f64 #s(literal 2 binary64) (-.f64 (neg.f64 (cos.f64 (fma.f64 x (/.f64 #s(literal 1/2 binary64) y) (PI.f64)))) (neg.f64 (cos.f64 (fma.f64 x (/.f64 #s(literal 1/2 binary64) y) (PI.f64))))))) #s(literal 4 binary64))
(/.f64 (fma.f64 (+.f64 (neg.f64 (cos.f64 (fma.f64 x (/.f64 #s(literal 1/2 binary64) y) (PI.f64)))) (neg.f64 (cos.f64 (fma.f64 x (/.f64 #s(literal 1/2 binary64) y) (PI.f64))))) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (-.f64 (neg.f64 (cos.f64 (fma.f64 x (/.f64 #s(literal 1/2 binary64) y) (PI.f64)))) (neg.f64 (cos.f64 (fma.f64 x (/.f64 #s(literal 1/2 binary64) y) (PI.f64))))))) #s(literal 4 binary64))
(/.f64 (-.f64 (+.f64 (neg.f64 (cos.f64 (fma.f64 x (/.f64 #s(literal 1/2 binary64) y) (PI.f64)))) (neg.f64 (cos.f64 (fma.f64 x (/.f64 #s(literal 1/2 binary64) y) (PI.f64))))) (-.f64 (neg.f64 (cos.f64 (fma.f64 x (/.f64 #s(literal 1/2 binary64) y) (PI.f64)))) (neg.f64 (cos.f64 (fma.f64 x (/.f64 #s(literal 1/2 binary64) y) (PI.f64)))))) #s(literal 2 binary64))
(/.f64 (-.f64 (pow.f64 (.f64 (cos.f64 (fma.f64 x (/.f64 #s(literal 1/2 binary64) y) (PI.f64))) #s(literal -1 binary64)) #s(literal 2 binary64)) (pow.f64 (.f64 (sin.f64 (fma.f64 x (/.f64 #s(literal 1/2 binary64) y) (PI.f64))) #s(literal 0 binary64)) #s(literal 2 binary64))) (neg.f64 (cos.f64 (fma.f64 x (/.f64 #s(literal 1/2 binary64) y) (PI.f64)))))
(/.f64 (-.f64 (.f64 (pow.f64 (cos.f64 (fma.f64 x (/.f64 #s(literal 1/2 binary64) y) (PI.f64))) #s(literal 3 binary64)) #s(literal -1 binary64)) (.f64 (pow.f64 (sin.f64 (fma.f64 x (/.f64 #s(literal 1/2 binary64) y) (PI.f64))) #s(literal 3 binary64)) #s(literal 0 binary64))) (+.f64 (pow.f64 (.f64 (cos.f64 (fma.f64 x (/.f64 #s(literal 1/2 binary64) y) (PI.f64))) #s(literal -1 binary64)) #s(literal 2 binary64)) (+.f64 (pow.f64 (.f64 (sin.f64 (fma.f64 x (/.f64 #s(literal 1/2 binary64) y) (PI.f64))) #s(literal 0 binary64)) #s(literal 2 binary64)) (.f64 (.f64 (cos.f64 (fma.f64 x (/.f64 #s(literal 1/2 binary64) y) (PI.f64))) #s(literal -1 binary64)) (*.f64 (sin.f64 (fma.f64 x (/.f64 #s(literal 1/2 binary64) y) (PI.f64))) #s(literal 0 binary64))))))
(/.f64 (fma.f64 (pow.f64 (cos.f64 (fma.f64 x (/.f64 #s(literal 1/2 binary64) y) (PI.f64))) #s(literal 3 binary64)) #s(literal -1 binary64) (.f64 (pow.f64 (sin.f64 (fma.f64 x (/.f64 #s(literal 1/2 binary64) y) (PI.f64))) #s(literal 3 binary64)) #s(literal 0 binary64))) (+.f64 (pow.f64 (.f64 (cos.f64 (fma.f64 x (/.f64 #s(literal 1/2 binary64) y) (PI.f64))) #s(literal -1 binary64)) #s(literal 2 binary64)) (-.f64 (pow.f64 (.f64 (sin.f64 (fma.f64 x (/.f64 #s(literal 1/2 binary64) y) (PI.f64))) #s(literal 0 binary64)) #s(literal 2 binary64)) (.f64 (.f64 (cos.f64 (fma.f64 x (/.f64 #s(literal 1/2 binary64) y) (PI.f64))) #s(literal -1 binary64)) (.f64 (sin.f64 (fma.f64 x (/.f64 #s(literal 1/2 binary64) y) (PI.f64))) #s(literal 0 binary64))))))
(neg.f64 (cos.f64 (fma.f64 x (/.f64 #s(literal 1/2 binary64) y) (PI.f64))))
(fma.f64 (cos.f64 (/.f64 (pow.f64 (fma.f64 x (/.f64 #s(literal 1/2 binary64) y) (PI.f64)) #s(literal 2 binary64)) (-.f64 (fma.f64 x (/.f64 #s(literal 1/2 binary64) y) (PI.f64)) (PI.f64)))) (cos.f64 (/.f64 (.f64 (PI.f64) (PI.f64)) (-.f64 (fma.f64 x (/.f64 #s(literal 1/2 binary64) y) (PI.f64)) (PI.f64)))) (.f64 (sin.f64 (/.f64 (pow.f64 (fma.f64 x (/.f64 #s(literal 1/2 binary64) y) (PI.f64)) #s(literal 2 binary64)) (-.f64 (fma.f64 x (/.f64 #s(literal 1/2 binary64) y) (PI.f64)) (PI.f64)))) (sin.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) (-.f64 (fma.f64 x (/.f64 #s(literal 1/2 binary64) y) (PI.f64)) (PI.f64))))))
(fma.f64 (sin.f64 (+.f64 (PI.f64) (.f64 (neg.f64 x) (/.f64 #s(literal 1/2 binary64) y)))) #s(literal 0 binary64) (.f64 (cos.f64 (+.f64 (PI.f64) (*.f64 (neg.f64 x) (/.f64 #s(literal 1/2 binary64) y)))) #s(literal -1 binary64)))
(fma.f64 (sin.f64 (/.f64 (neg.f64 (pow.f64 (fma.f64 x (/.f64 #s(literal 1/2 binary64) y) (/.f64 (PI.f64) #s(literal 2 binary64))) #s(literal 3 binary64))) (fma.f64 (PI.f64) (-.f64 (PI.f64) (neg.f64 (fma.f64 x (/.f64 #s(literal 1/2 binary64) y) (/.f64 (PI.f64) #s(literal 2 binary64))))) (pow.f64 (fma.f64 x (/.f64 #s(literal 1/2 binary64) y) (/.f64 (PI.f64) #s(literal 2 binary64))) #s(literal 2 binary64))))) (cos.f64 (/.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) (fma.f64 (PI.f64) (-.f64 (PI.f64) (neg.f64 (fma.f64 x (/.f64 #s(literal 1/2 binary64) y) (/.f64 (PI.f64) #s(literal 2 binary64))))) (pow.f64 (fma.f64 x (/.f64 #s(literal 1/2 binary64) y) (/.f64 (PI.f64) #s(literal 2 binary64))) #s(literal 2 binary64))))) (*.f64 (cos.f64 (/.f64 (neg.f64 (pow.f64 (fma.f64 x (/.f64 #s(literal 1/2 binary64) y) (/.f64 (PI.f64) #s(literal 2 binary64))) #s(literal 3 binary64))) (fma.f64 (PI.f64) (-.f64 (PI.f64) (neg.f64 (fma.f64 x (/.f64 #s(literal 1/2 binary64) y) (/.f64 (PI.f64) #s(literal 2 binary64))))) (pow.f64 (fma.f64 x (/.f64 #s(literal 1/2 binary64) y) (/.f64 (PI.f64) #s(literal 2 binary64))) #s(literal 2 binary64))))) (sin.f64 (/.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) (fma.f64 (PI.f64) (-.f64 (PI.f64) (neg.f64 (fma.f64 x (/.f64 #s(literal 1/2 binary64) y) (/.f64 (PI.f64) #s(literal 2 binary64))))) (pow.f64 (fma.f64 x (/.f64 #s(literal 1/2 binary64) y) (/.f64 (PI.f64) #s(literal 2 binary64))) #s(literal 2 binary64)))))))
(fma.f64 (sin.f64 (neg.f64 (+.f64 (fma.f64 x (/.f64 #s(literal 1/2 binary64) y) (PI.f64)) (PI.f64)))) #s(literal 0 binary64) (*.f64 (neg.f64 (cos.f64 (fma.f64 x (/.f64 #s(literal 1/2 binary64) y) (PI.f64)))) #s(literal 1 binary64)))
(fma.f64 (sin.f64 (.f64 x (/.f64 #s(literal 1/2 binary64) y))) (cos.f64 (fma.f64 #s(literal 2 binary64) (PI.f64) (/.f64 (PI.f64) #s(literal 2 binary64)))) (.f64 (cos.f64 (*.f64 x (/.f64 #s(literal 1/2 binary64) y))) #s(literal 1 binary64)))
(fma.f64 (neg.f64 (sin.f64 (fma.f64 x (/.f64 #s(literal 1/2 binary64) y) (PI.f64)))) #s(literal 0 binary64) (*.f64 (neg.f64 (cos.f64 (fma.f64 x (/.f64 #s(literal 1/2 binary64) y) (PI.f64)))) #s(literal 1 binary64)))
(fma.f64 (sin.f64 (fma.f64 x (/.f64 #s(literal 1/2 binary64) y) (PI.f64))) (cos.f64 (-.f64 (/.f64 (PI.f64) #s(literal -2 binary64)) (PI.f64))) (.f64 (cos.f64 (.f64 x (/.f64 #s(literal 1/2 binary64) y))) (sin.f64 (-.f64 (/.f64 (PI.f64) #s(literal -2 binary64)) (PI.f64)))))
(fma.f64 (sin.f64 (fma.f64 x (/.f64 #s(literal 1/2 binary64) y) (PI.f64))) (cos.f64 (+.f64 (/.f64 (PI.f64) #s(literal -2 binary64)) (PI.f64))) (.f64 (cos.f64 (.f64 x (/.f64 #s(literal 1/2 binary64) y))) (sin.f64 (+.f64 (/.f64 (PI.f64) #s(literal -2 binary64)) (PI.f64)))))
(fma.f64 (sin.f64 (fma.f64 x (/.f64 #s(literal 1/2 binary64) y) (PI.f64))) (cos.f64 (+.f64 (PI.f64) (/.f64 (PI.f64) #s(literal 2 binary64)))) (*.f64 (cos.f64 (fma.f64 x (/.f64 #s(literal 1/2 binary64) y) (PI.f64))) #s(literal -1 binary64)))
(fma.f64 (sin.f64 (fma.f64 x (/.f64 #s(literal 1/2 binary64) y) (PI.f64))) #s(literal 0 binary64) (*.f64 (cos.f64 (fma.f64 x (/.f64 #s(literal 1/2 binary64) y) (PI.f64))) #s(literal -1 binary64)))
(fma.f64 (cos.f64 (fma.f64 x (/.f64 #s(literal 1/2 binary64) y) (PI.f64))) #s(literal -1 binary64) (*.f64 (neg.f64 (sin.f64 (fma.f64 x (/.f64 #s(literal 1/2 binary64) y) (PI.f64)))) #s(literal 0 binary64)))
(fma.f64 (cos.f64 (fma.f64 x (/.f64 #s(literal 1/2 binary64) y) (PI.f64))) #s(literal -1 binary64) (*.f64 (sin.f64 (fma.f64 x (/.f64 #s(literal 1/2 binary64) y) (PI.f64))) (sin.f64 (neg.f64 (PI.f64)))))
(fma.f64 (cos.f64 (fma.f64 x (/.f64 #s(literal 1/2 binary64) y) (PI.f64))) #s(literal -1 binary64) (*.f64 (sin.f64 (fma.f64 x (/.f64 #s(literal 1/2 binary64) y) (PI.f64))) #s(literal 0 binary64)))
(fma.f64 #s(literal 0 binary64) (neg.f64 (sin.f64 (fma.f64 x (/.f64 #s(literal 1/2 binary64) y) (PI.f64)))) (*.f64 (cos.f64 (fma.f64 x (/.f64 #s(literal 1/2 binary64) y) (PI.f64))) #s(literal -1 binary64)))
(fma.f64 #s(literal 0 binary64) (sin.f64 (fma.f64 x (/.f64 #s(literal 1/2 binary64) y) (PI.f64))) (*.f64 (cos.f64 (fma.f64 x (/.f64 #s(literal 1/2 binary64) y) (PI.f64))) #s(literal -1 binary64)))
(fma.f64 #s(literal -1 binary64) (cos.f64 (fma.f64 x (/.f64 #s(literal 1/2 binary64) y) (PI.f64))) (*.f64 (neg.f64 (sin.f64 (fma.f64 x (/.f64 #s(literal 1/2 binary64) y) (PI.f64)))) #s(literal 0 binary64)))
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(*.f64 (neg.f64 (pow.f64 (neg.f64 (cos.f64 (fma.f64 x (/.f64 #s(literal 1/2 binary64) y) (PI.f64)))) #s(literal -1/2 binary64))) (neg.f64 (pow.f64 (neg.f64 (cos.f64 (fma.f64 x (/.f64 #s(literal 1/2 binary64) y) (PI.f64)))) #s(literal -1/2 binary64))))
(*.f64 (fabs.f64 (pow.f64 (neg.f64 (cos.f64 (fma.f64 x (/.f64 #s(literal 1/2 binary64) y) (PI.f64)))) #s(literal -1/2 binary64))) (fabs.f64 (pow.f64 (neg.f64 (cos.f64 (fma.f64 x (/.f64 #s(literal 1/2 binary64) y) (PI.f64)))) #s(literal -1/2 binary64))))
(*.f64 (pow.f64 (neg.f64 (cos.f64 (fma.f64 x (/.f64 #s(literal 1/2 binary64) y) (PI.f64)))) #s(literal -1/2 binary64)) (pow.f64 (neg.f64 (cos.f64 (fma.f64 x (/.f64 #s(literal 1/2 binary64) y) (PI.f64)))) #s(literal -1/2 binary64)))
(pow.f64 (exp.f64 (log.f64 (neg.f64 (cos.f64 (fma.f64 x (/.f64 #s(literal 1/2 binary64) y) (PI.f64)))))) #s(literal -1 binary64))
(pow.f64 (*.f64 (neg.f64 (cos.f64 (fma.f64 x (/.f64 #s(literal 1/2 binary64) y) (PI.f64)))) (neg.f64 (cos.f64 (fma.f64 x (/.f64 #s(literal 1/2 binary64) y) (PI.f64))))) #s(literal -1/2 binary64))
(pow.f64 (pow.f64 (neg.f64 (cos.f64 (fma.f64 x (/.f64 #s(literal 1/2 binary64) y) (PI.f64)))) #s(literal -1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (neg.f64 (cos.f64 (fma.f64 x (/.f64 #s(literal 1/2 binary64) y) (PI.f64)))) #s(literal -1 binary64))
(/.f64 #s(literal -1 binary64) (cos.f64 (fma.f64 x (/.f64 #s(literal 1/2 binary64) y) (PI.f64))))
(/.f64 #s(literal 1 binary64) (neg.f64 (cos.f64 (fma.f64 x (/.f64 #s(literal 1/2 binary64) y) (PI.f64)))))
(neg.f64 (pow.f64 (cos.f64 (fma.f64 x (/.f64 #s(literal 1/2 binary64) y) (PI.f64))) #s(literal -1 binary64)))
(exp.f64 (*.f64 (log.f64 (neg.f64 (cos.f64 (fma.f64 x (/.f64 #s(literal 1/2 binary64) y) (PI.f64))))) #s(literal -1 binary64)))
(+.f64 (cosh.f64 (.f64 (log.f64 (neg.f64 (cos.f64 (fma.f64 x (/.f64 #s(literal 1/2 binary64) y) (PI.f64))))) #s(literal -1 binary64))) (sinh.f64 (.f64 (log.f64 (neg.f64 (cos.f64 (fma.f64 x (/.f64 #s(literal 1/2 binary64) y) (PI.f64))))) #s(literal -1 binary64))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) (pow.f64 (.f64 (/.f64 x y) #s(literal -1/2 binary64)) #s(literal 2 binary64)))) (neg.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (.f64 x (/.f64 #s(literal 1/2 binary64) y)))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (.f64 (/.f64 x y) #s(literal -1/2 binary64)) #s(literal 2 binary64)) (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64))))) (neg.f64 (neg.f64 (-.f64 (.f64 x (/.f64 #s(literal 1/2 binary64) y)) (/.f64 (PI.f64) #s(literal 2 binary64))))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 (/.f64 x y) #s(literal 3 binary64)) (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64)) (.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (.f64 x (/.f64 #s(literal 1/2 binary64) y))))))))
(/.f64 (neg.f64 (fma.f64 (.f64 x #s(literal 1/2 binary64)) #s(literal -2 binary64) (.f64 y (neg.f64 (PI.f64))))) (neg.f64 (*.f64 #s(literal -2 binary64) y)))
(/.f64 (neg.f64 (fma.f64 (.f64 x #s(literal 1/2 binary64)) #s(literal 2 binary64) (.f64 y (PI.f64)))) (*.f64 #s(literal -2 binary64) y))
(/.f64 (neg.f64 (fma.f64 (neg.f64 (PI.f64)) y (.f64 #s(literal -2 binary64) (.f64 x #s(literal 1/2 binary64))))) (neg.f64 (*.f64 #s(literal -2 binary64) y)))
(/.f64 (neg.f64 (fma.f64 (PI.f64) y (.f64 #s(literal 2 binary64) (.f64 x #s(literal 1/2 binary64))))) (*.f64 #s(literal -2 binary64) y))
(/.f64 (-.f64 (.f64 (pow.f64 (.f64 (/.f64 x y) #s(literal -1/2 binary64)) #s(literal 2 binary64)) (-.f64 (.f64 x (/.f64 #s(literal 1/2 binary64) y)) (/.f64 (PI.f64) #s(literal 2 binary64)))) (.f64 (-.f64 (.f64 x (/.f64 #s(literal 1/2 binary64) y)) (/.f64 (PI.f64) #s(literal 2 binary64))) (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)))) (.f64 (-.f64 (.f64 x (/.f64 #s(literal 1/2 binary64) y)) (/.f64 (PI.f64) #s(literal 2 binary64))) (-.f64 (.f64 x (/.f64 #s(literal 1/2 binary64) y)) (/.f64 (PI.f64) #s(literal 2 binary64)))))
(/.f64 (-.f64 (.f64 (neg.f64 (neg.f64 (PI.f64))) y) (.f64 #s(literal 2 binary64) (neg.f64 (.f64 x #s(literal 1/2 binary64))))) (.f64 #s(literal 2 binary64) y))
(/.f64 (-.f64 (.f64 (neg.f64 (neg.f64 (PI.f64))) (neg.f64 y)) (.f64 #s(literal 2 binary64) (.f64 x #s(literal 1/2 binary64)))) (.f64 #s(literal -2 binary64) y))
(/.f64 (-.f64 (.f64 (neg.f64 (PI.f64)) y) (.f64 #s(literal -2 binary64) (neg.f64 (.f64 x #s(literal 1/2 binary64))))) (.f64 #s(literal -2 binary64) y))
(/.f64 (-.f64 (.f64 (neg.f64 (PI.f64)) (neg.f64 y)) (.f64 #s(literal -2 binary64) (.f64 x #s(literal 1/2 binary64)))) (.f64 #s(literal -2 binary64) (neg.f64 y)))
(/.f64 (-.f64 (.f64 (PI.f64) y) (.f64 #s(literal 2 binary64) (neg.f64 (.f64 x #s(literal 1/2 binary64))))) (.f64 #s(literal 2 binary64) y))
(/.f64 (-.f64 (.f64 (PI.f64) (neg.f64 y)) (.f64 #s(literal 2 binary64) (.f64 x #s(literal 1/2 binary64)))) (.f64 #s(literal -2 binary64) y))
(/.f64 (fma.f64 (pow.f64 (.f64 (/.f64 x y) #s(literal -1/2 binary64)) #s(literal 3 binary64)) (fma.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64)) (.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (.f64 x (/.f64 #s(literal 1/2 binary64) y))))) (.f64 (fma.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64)) (.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (.f64 x (/.f64 #s(literal 1/2 binary64) y))))) (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64)))) (.f64 (fma.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64)) (.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (.f64 x (/.f64 #s(literal 1/2 binary64) y))))) (fma.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64)) (.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 x (/.f64 #s(literal 1/2 binary64) y)))))))
(/.f64 (fma.f64 (neg.f64 (.f64 x #s(literal 1/2 binary64))) #s(literal 2 binary64) (.f64 (neg.f64 y) (neg.f64 (neg.f64 (PI.f64))))) (*.f64 #s(literal -2 binary64) y))
(/.f64 (fma.f64 (neg.f64 (.f64 x #s(literal 1/2 binary64))) #s(literal -2 binary64) (.f64 (neg.f64 y) (neg.f64 (PI.f64)))) (*.f64 (neg.f64 y) #s(literal -2 binary64)))
(/.f64 (fma.f64 (neg.f64 (.f64 x #s(literal 1/2 binary64))) #s(literal 2 binary64) (.f64 (neg.f64 y) (PI.f64))) (*.f64 #s(literal -2 binary64) y))
(/.f64 (fma.f64 (.f64 x #s(literal 1/2 binary64)) #s(literal 2 binary64) (.f64 y (neg.f64 (neg.f64 (PI.f64))))) (*.f64 #s(literal 2 binary64) y))
(/.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) x) #s(literal 2 binary64) (.f64 (neg.f64 y) (neg.f64 (neg.f64 (PI.f64))))) (*.f64 #s(literal -2 binary64) y))
(/.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) x) #s(literal -2 binary64) (.f64 (neg.f64 y) (neg.f64 (PI.f64)))) (*.f64 (neg.f64 y) #s(literal -2 binary64)))
(/.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) x) #s(literal 2 binary64) (.f64 (neg.f64 y) (PI.f64))) (*.f64 #s(literal -2 binary64) y))
(/.f64 (fma.f64 (neg.f64 (neg.f64 (PI.f64))) (neg.f64 y) (.f64 #s(literal 2 binary64) (neg.f64 (.f64 x #s(literal 1/2 binary64))))) (*.f64 #s(literal -2 binary64) y))
(/.f64 (fma.f64 (neg.f64 (neg.f64 (PI.f64))) y (.f64 #s(literal 2 binary64) (.f64 x #s(literal 1/2 binary64)))) (*.f64 #s(literal 2 binary64) y))
(/.f64 (fma.f64 (neg.f64 (neg.f64 (PI.f64))) (neg.f64 y) (.f64 #s(literal 2 binary64) (.f64 #s(literal -1/2 binary64) x))) (*.f64 #s(literal -2 binary64) y))
(/.f64 (fma.f64 (neg.f64 (PI.f64)) (neg.f64 y) (.f64 #s(literal -2 binary64) (neg.f64 (.f64 x #s(literal 1/2 binary64))))) (*.f64 #s(literal -2 binary64) (neg.f64 y)))
(/.f64 (fma.f64 (neg.f64 (PI.f64)) (neg.f64 y) (.f64 #s(literal -2 binary64) (.f64 #s(literal -1/2 binary64) x))) (*.f64 #s(literal -2 binary64) (neg.f64 y)))
(/.f64 (fma.f64 (PI.f64) (neg.f64 y) (.f64 #s(literal 2 binary64) (neg.f64 (.f64 x #s(literal 1/2 binary64))))) (*.f64 #s(literal -2 binary64) y))
(/.f64 (fma.f64 (PI.f64) (neg.f64 y) (.f64 #s(literal 2 binary64) (.f64 #s(literal -1/2 binary64) x))) (*.f64 #s(literal -2 binary64) y))
(/.f64 (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) (pow.f64 (.f64 (/.f64 x y) #s(literal -1/2 binary64)) #s(literal 2 binary64))) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (.f64 x (/.f64 #s(literal 1/2 binary64) y))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (.f64 (/.f64 x y) #s(literal -1/2 binary64)) #s(literal 2 binary64)) (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)))) (neg.f64 (-.f64 (.f64 x (/.f64 #s(literal 1/2 binary64) y)) (/.f64 (PI.f64) #s(literal 2 binary64)))))
(/.f64 (neg.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 (/.f64 x y) #s(literal 3 binary64)) (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) (-.f64 (pow.f64 (.f64 (/.f64 x y) #s(literal -1/2 binary64)) #s(literal 2 binary64)) (/.f64 (.f64 (*.f64 x (/.f64 #s(literal 1/2 binary64) y)) (PI.f64)) #s(literal 2 binary64))))))
(/.f64 (neg.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 (/.f64 x y) #s(literal 3 binary64)) (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64)))) (neg.f64 (fma.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64)) (.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (.f64 x (/.f64 #s(literal 1/2 binary64) y)))))))
(/.f64 (fma.f64 (.f64 x #s(literal 1/2 binary64)) #s(literal -2 binary64) (.f64 y (neg.f64 (PI.f64)))) (*.f64 #s(literal -2 binary64) y))
(/.f64 (fma.f64 (.f64 x #s(literal 1/2 binary64)) #s(literal 2 binary64) (.f64 y (PI.f64))) (*.f64 #s(literal 2 binary64) y))
(/.f64 (fma.f64 (neg.f64 (PI.f64)) y (.f64 #s(literal -2 binary64) (.f64 x #s(literal 1/2 binary64)))) (*.f64 #s(literal -2 binary64) y))
(/.f64 (fma.f64 (PI.f64) y (.f64 #s(literal 2 binary64) (.f64 x #s(literal 1/2 binary64)))) (*.f64 #s(literal 2 binary64) y))
(/.f64 (-.f64 (pow.f64 (.f64 (/.f64 x y) #s(literal -1/2 binary64)) #s(literal 2 binary64)) (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64))) (-.f64 (.f64 x (/.f64 #s(literal 1/2 binary64) y)) (/.f64 (PI.f64) #s(literal 2 binary64))))
(/.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 (/.f64 x y) #s(literal 3 binary64)) (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) (-.f64 (pow.f64 (.f64 (/.f64 x y) #s(literal -1/2 binary64)) #s(literal 2 binary64)) (/.f64 (.f64 (*.f64 x (/.f64 #s(literal 1/2 binary64) y)) (PI.f64)) #s(literal 2 binary64)))))
(/.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 (/.f64 x y) #s(literal 3 binary64)) (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64))) (fma.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64)) (.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (.f64 x (/.f64 #s(literal 1/2 binary64) y))))))
(fma.f64 (sqrt.f64 (PI.f64)) (fabs.f64 (/.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64))) (*.f64 x (/.f64 #s(literal 1/2 binary64) y)))
(fma.f64 (sqrt.f64 (PI.f64)) (/.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64)) (*.f64 x (/.f64 #s(literal 1/2 binary64) y)))
(fma.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (fabs.f64 (/.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64))) (*.f64 x (/.f64 #s(literal 1/2 binary64) y)))
(fma.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (/.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (*.f64 x (/.f64 #s(literal 1/2 binary64) y)))
(fma.f64 x (/.f64 #s(literal 1/2 binary64) y) (/.f64 (PI.f64) #s(literal 2 binary64)))
(fma.f64 (/.f64 #s(literal 1/2 binary64) y) x (/.f64 (PI.f64) #s(literal 2 binary64)))
(fma.f64 #s(literal 1/2 binary64) (/.f64 x y) (/.f64 (PI.f64) #s(literal 2 binary64)))
(-.f64 (/.f64 (pow.f64 (.f64 (/.f64 x y) #s(literal -1/2 binary64)) #s(literal 2 binary64)) (-.f64 (.f64 x (/.f64 #s(literal 1/2 binary64) y)) (/.f64 (PI.f64) #s(literal 2 binary64)))) (/.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) (-.f64 (*.f64 x (/.f64 #s(literal 1/2 binary64) y)) (/.f64 (PI.f64) #s(literal 2 binary64)))))
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 (neg.f64 x) (/.f64 #s(literal 1/2 binary64) y)))
(+.f64 (/.f64 (pow.f64 (.f64 (/.f64 x y) #s(literal -1/2 binary64)) #s(literal 3 binary64)) (fma.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64)) (.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (.f64 x (/.f64 #s(literal 1/2 binary64) y)))))) (/.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64)) (fma.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64)) (.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 x (/.f64 #s(literal 1/2 binary64) y)))))))
(+.f64 (*.f64 x (/.f64 #s(literal 1/2 binary64) y)) (/.f64 (PI.f64) #s(literal 2 binary64)))
(+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 x (/.f64 #s(literal 1/2 binary64) y)))
(*.f64 (cos.f64 (/.f64 x y)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x y)))
(/.f64 (-.f64 (cos.f64 (/.f64 x y)) (neg.f64 (cos.f64 (/.f64 x y)))) #s(literal 2 binary64))
(/.f64 (-.f64 (cos.f64 (-.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 x y)) (/.f64 (PI.f64) #s(literal 2 binary64)))) (neg.f64 (cos.f64 (/.f64 x y)))) #s(literal 2 binary64))
(fma.f64 (sin.f64 (/.f64 x y)) #s(literal 0 binary64) (cos.f64 (/.f64 x y)))
(fma.f64 (cos.f64 (/.f64 x y)) #s(literal 1 binary64) (*.f64 #s(literal 0 binary64) (sin.f64 (/.f64 x y))))
(fma.f64 (sin.f64 (/.f64 (neg.f64 x) y)) #s(literal 0 binary64) (cos.f64 (/.f64 x y)))
(fma.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x y)) (*.f64 #s(literal 0 binary64) (sin.f64 (/.f64 x y))))
(sin.f64 (+.f64 (/.f64 (neg.f64 x) y) (/.f64 (PI.f64) #s(literal 2 binary64))))
(sin.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 x y)))
(cos.f64 (-.f64 (+.f64 (/.f64 (neg.f64 x) y) (/.f64 (PI.f64) #s(literal 2 binary64))) (/.f64 (PI.f64) #s(literal 2 binary64))))
(cos.f64 (/.f64 (neg.f64 x) y))
(cos.f64 (/.f64 x y))
(+.f64 (*.f64 (sin.f64 (/.f64 (neg.f64 x) y)) #s(literal 0 binary64)) (cos.f64 (/.f64 x y)))
(+.f64 (*.f64 (sin.f64 (/.f64 x y)) #s(literal 0 binary64)) (cos.f64 (/.f64 x y)))
(+.f64 (cos.f64 (/.f64 x y)) (*.f64 #s(literal 0 binary64) (sin.f64 (/.f64 x y))))
(neg.f64 (sin.f64 (/.f64 x (*.f64 #s(literal -2 binary64) y))))
(sin.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64)))

eval101.0ms (1%)

Memory: -4.5MiB live, 235.6MiB allocated
Compiler: Compiled 25 853 to 3 710 computations (85.6% saved)

prune188.0ms (1.8%)

Memory

-11.7MiB live, 105.2MiB allocated

Pruning

40 alts after pruning (33 fresh and 7 done)

	Pruned	Kept	Total
New	627	25	652
Fresh	5	8	13
Picked	1	4	5
Done	0	3	3
Total	633	40	673

Accuracy

65.6%

Counts

673 → 40

Alt Table

Click to see full alt table

Status	Accuracy	Program
	4.8%	(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x y))) (sin.f64 (/.f64 (neg.f64 x) y))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
	3.7%	(/.f64 (/.f64 (sin.f64 (/.f64 (neg.f64 x) y)) (+.f64 #s(literal 1 binary64) (sin.f64 (+.f64 (/.f64 (neg.f64 x) y) (/.f64 (PI.f64) #s(literal 2 binary64)))))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
	3.7%	(/.f64 (/.f64 (sin.f64 (/.f64 (neg.f64 x) y)) (+.f64 #s(literal 1 binary64) (sin.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 x y))))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
	7.1%	(/.f64 (/.f64 (sin.f64 (+.f64 (/.f64 x y) (PI.f64))) (+.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x y)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
▶	6.0%	(/.f64 (/.f64 (cos.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 x y))) (+.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x y)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
	5.0%	(/.f64 (tan.f64 (/.f64 (/.f64 x y) #s(literal -2 binary64))) (cos.f64 (/.f64 (+.f64 (/.f64 (neg.f64 x) y) (PI.f64)) #s(literal 2 binary64))))
✓	47.8%	(/.f64 (tan.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))))
	4.1%	(/.f64 (tan.f64 (/.f64 x (.f64 #s(literal -2 binary64) y))) (sin.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))))
	40.6%	(/.f64 #s(approx (tan (/ x (* y 2))) (fma.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)) #s(literal 1/24 binary64) (.f64 (/.f64 x y) #s(literal 1/2 binary64)))) #s(approx (sin (/ x ( y 2))) (.f64 (/.f64 (fma.f64 (/.f64 (.f64 x x) y) (/.f64 #s(literal -1/48 binary64) y) #s(literal 1/2 binary64)) y) x)))
	47.4%	(/.f64 #s(approx (tan (/ x (* y 2))) (/.f64 (sin.f64 (.f64 (/.f64 #s(literal 1/2 binary64) y) x)) (cos.f64 (.f64 (/.f64 #s(literal 1/2 binary64) y) x)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
	4.1%	#s(approx (/ (/ (sin (/ (neg x) y)) (+ 1 (cos (/ x y)))) (sin (/ x (* y 2)))) (/.f64 (neg.f64 (sin.f64 (/.f64 x y))) (.f64 (sin.f64 (.f64 (/.f64 x y) #s(literal 1/2 binary64))) (+.f64 (cos.f64 (/.f64 x y)) #s(literal 1 binary64)))))
▶	6.6%	#s(approx (/ (/ (sin (/ (neg x) y)) (+ 1 (cos (/ x y)))) (sin (/ x (* y 2)))) #s(literal -1 binary64))
✓	51.1%	#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (fma.f64 (/.f64 #s(literal 1/8 binary64) y) (/.f64 (*.f64 x x) y) #s(literal 1 binary64)))
	55.7%	#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (pow.f64 (pow.f64 (neg.f64 (cos.f64 (fma.f64 x (/.f64 #s(literal 1/2 binary64) y) (PI.f64)))) #s(literal -1/2 binary64)) #s(literal 2 binary64)))
	58.4%	#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (fma.f64 (sin.f64 (fma.f64 x (/.f64 #s(literal 1/2 binary64) y) (PI.f64))) (cos.f64 (+.f64 (PI.f64) (/.f64 (PI.f64) #s(literal 2 binary64)))) (*.f64 (cos.f64 (fma.f64 x (/.f64 #s(literal 1/2 binary64) y) (PI.f64))) #s(literal -1 binary64)))))
	59.2%	#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (fma.f64 (sin.f64 (.f64 x (/.f64 #s(literal 1/2 binary64) y))) (cos.f64 (fma.f64 #s(literal 2 binary64) (PI.f64) (/.f64 (PI.f64) #s(literal 2 binary64)))) (.f64 (cos.f64 (*.f64 x (/.f64 #s(literal 1/2 binary64) y))) #s(literal 1 binary64)))))
▶	58.4%	#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 (fma.f64 x (/.f64 #s(literal 1/2 binary64) y) (PI.f64))) #s(literal -1 binary64) (*.f64 (sin.f64 (fma.f64 x (/.f64 #s(literal 1/2 binary64) y) (PI.f64))) (sin.f64 (neg.f64 (PI.f64)))))))
	58.4%	#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 (cos.f64 (fma.f64 x (/.f64 #s(literal 1/2 binary64) y) (PI.f64))) #s(literal -1 binary64)) (.f64 (sin.f64 (fma.f64 x (/.f64 #s(literal 1/2 binary64) y) (PI.f64))) (sin.f64 (neg.f64 (PI.f64)))))))
▶	59.2%	#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 (cos.f64 (.f64 x (/.f64 #s(literal 1/2 binary64) y))) #s(literal 1 binary64)) (.f64 (sin.f64 (fma.f64 x (/.f64 #s(literal 1/2 binary64) y) (PI.f64))) (sin.f64 (neg.f64 (.f64 #s(literal 2 binary64) (PI.f64))))))))
	58.9%	#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (sin.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) y) x (/.f64 (PI.f64) #s(literal 2 binary64))))))
	59.0%	#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (sin.f64 (fma.f64 x (/.f64 #s(literal 1/2 binary64) y) (fma.f64 #s(literal 2 binary64) (PI.f64) (/.f64 (PI.f64) #s(literal 2 binary64)))))))
	57.4%	#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (sin.f64 (+.f64 (/.f64 (-.f64 (pow.f64 (.f64 (/.f64 x y) #s(literal -1/2 binary64)) #s(literal 2 binary64)) (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64))) (-.f64 (.f64 (neg.f64 x) (/.f64 #s(literal 1/2 binary64) y)) (/.f64 (PI.f64) #s(literal -2 binary64)))) (PI.f64)))))
	55.7%	#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (sin.f64 (+.f64 (/.f64 (+.f64 (neg.f64 (pow.f64 (.f64 (/.f64 x y) #s(literal -1/2 binary64)) #s(literal 3 binary64))) (pow.f64 (/.f64 (PI.f64) #s(literal -2 binary64)) #s(literal 3 binary64))) (fma.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64)) (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) (.f64 (*.f64 (neg.f64 x) (/.f64 #s(literal 1/2 binary64) y)) (/.f64 (PI.f64) #s(literal -2 binary64)))))) (PI.f64)))))
✓	58.5%	#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (sin.f64 (+.f64 (neg.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) y) x (/.f64 (PI.f64) #s(literal 2 binary64)))) (PI.f64)))))
	56.9%	#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (sin.f64 (+.f64 (neg.f64 (/.f64 (-.f64 (.f64 (pow.f64 (.f64 (/.f64 x y) #s(literal -1/2 binary64)) #s(literal 2 binary64)) (-.f64 (.f64 x (/.f64 #s(literal 1/2 binary64) y)) (/.f64 (PI.f64) #s(literal 2 binary64)))) (.f64 (-.f64 (.f64 x (/.f64 #s(literal 1/2 binary64) y)) (/.f64 (PI.f64) #s(literal 2 binary64))) (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)))) (.f64 (-.f64 (.f64 x (/.f64 #s(literal 1/2 binary64) y)) (/.f64 (PI.f64) #s(literal 2 binary64))) (-.f64 (.f64 x (/.f64 #s(literal 1/2 binary64) y)) (/.f64 (PI.f64) #s(literal 2 binary64)))))) (PI.f64)))))
	59.1%	#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (sin.f64 (+.f64 #s(approx (neg (+ (* (/ 1/2 y) x) (/ (PI) 2))) (*.f64 #s(literal -1/2 binary64) (+.f64 (/.f64 x y) (PI.f64)))) (PI.f64)))))
	57.8%	#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 (fma.f64 (+.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) (pow.f64 (PI.f64) #s(literal 3 binary64))) y (.f64 (fma.f64 (PI.f64) (PI.f64) (-.f64 (.f64 (PI.f64) (PI.f64)) (.f64 (PI.f64) (PI.f64)))) (.f64 x #s(literal 1/2 binary64)))) (.f64 (fma.f64 (PI.f64) (PI.f64) (-.f64 (.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) (PI.f64)))) y)))))
	4.8%	#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 (-.f64 (.f64 (pow.f64 (fma.f64 x (/.f64 #s(literal 1/2 binary64) y) (PI.f64)) #s(literal 2 binary64)) (-.f64 (fma.f64 x (/.f64 #s(literal 1/2 binary64) y) (PI.f64)) (PI.f64))) (.f64 (-.f64 (fma.f64 x (/.f64 #s(literal 1/2 binary64) y) (PI.f64)) (PI.f64)) (.f64 (PI.f64) (PI.f64)))) (.f64 (-.f64 (fma.f64 x (/.f64 #s(literal 1/2 binary64) y) (PI.f64)) (PI.f64)) (-.f64 (fma.f64 x (/.f64 #s(literal 1/2 binary64) y) (PI.f64)) (PI.f64)))))))
	59.1%	#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) x) y))))
✓	59.2%	#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) y) x (PI.f64)) (PI.f64)))))
	59.1%	#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 x y) (PI.f64)) (PI.f64)))))
	56.0%	#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 (/.f64 (fma.f64 (pow.f64 (.f64 (/.f64 x y) #s(literal -1/2 binary64)) #s(literal 3 binary64)) (fma.f64 (PI.f64) (fma.f64 (/.f64 x y) #s(literal -1/2 binary64) (PI.f64)) (pow.f64 (.f64 (/.f64 x y) #s(literal -1/2 binary64)) #s(literal 2 binary64))) (.f64 (fma.f64 (PI.f64) (fma.f64 (/.f64 x y) #s(literal -1/2 binary64) (PI.f64)) (pow.f64 (.f64 (/.f64 x y) #s(literal -1/2 binary64)) #s(literal 2 binary64))) (pow.f64 (PI.f64) #s(literal 3 binary64)))) (pow.f64 (fma.f64 (PI.f64) (fma.f64 (/.f64 x y) #s(literal -1/2 binary64) (PI.f64)) (pow.f64 (*.f64 (/.f64 x y) #s(literal -1/2 binary64)) #s(literal 2 binary64))) #s(literal 2 binary64))) (PI.f64)))))
✓	59.2%	#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x))))
	51.5%	#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) #s(approx (cos (+ (+ (* (/ 1/2 y) x) (PI)) (PI))) (fma.f64 (fma.f64 (-.f64 (/.f64 #s(literal -1/8 binary64) (*.f64 y y)) #s(literal 0 binary64)) x #s(literal 0 binary64)) x #s(literal 1 binary64)))))
	59.1%	#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal -1 binary64) (fma.f64 (cos.f64 (.f64 (/.f64 x y) #s(literal -1/2 binary64))) #s(literal -1 binary64) (.f64 (sin.f64 (*.f64 (/.f64 x y) #s(literal -1/2 binary64))) (sin.f64 (neg.f64 (PI.f64)))))))
▶	58.3%	#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal -1 binary64) (sin.f64 (fma.f64 (/.f64 x y) #s(literal -1/2 binary64) (+.f64 (PI.f64) (/.f64 (PI.f64) #s(literal 2 binary64)))))))
	58.4%	#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal -1 binary64) (cos.f64 (fma.f64 x (/.f64 #s(literal 1/2 binary64) y) (PI.f64)))))
✓	58.5%	#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal -1 binary64) (cos.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 x y) (PI.f64)))))
	58.4%	#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 (+.f64 (fma.f64 (/.f64 x y) #s(literal -1/2 binary64) (PI.f64)) (PI.f64)) (PI.f64)))))
✓	58.9%	#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(literal 1 binary64))

Compiler

Compiled 2 424 to 1 499 computations (38.2% saved)

simplify264.0ms (2.6%)

Memory

5.8MiB live, 246.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 17 expressions of interest:

New	Metric	Score
cost-diff	0	(/.f64 (/.f64 (cos.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 x y))) (+.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x y)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
cost-diff	1	(+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 x y))
cost-diff	2	(cos.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 x y)))
cost-diff	6	(/.f64 (cos.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 x y))) (+.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x y))))
cost-diff	1	(sin.f64 (fma.f64 x (/.f64 #s(literal 1/2 binary64) y) (PI.f64)))
cost-diff	2	(sin.f64 (neg.f64 (PI.f64)))
cost-diff	4	(fma.f64 (cos.f64 (fma.f64 x (/.f64 #s(literal 1/2 binary64) y) (PI.f64))) #s(literal -1 binary64) (*.f64 (sin.f64 (fma.f64 x (/.f64 #s(literal 1/2 binary64) y) (PI.f64))) (sin.f64 (neg.f64 (PI.f64)))))
cost-diff	7	(*.f64 (sin.f64 (fma.f64 x (/.f64 #s(literal 1/2 binary64) y) (PI.f64))) (sin.f64 (neg.f64 (PI.f64))))
cost-diff	0	#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal -1 binary64) (sin.f64 (fma.f64 (/.f64 x y) #s(literal -1/2 binary64) (+.f64 (PI.f64) (/.f64 (PI.f64) #s(literal 2 binary64)))))))
cost-diff	1	(/.f64 #s(literal -1 binary64) (sin.f64 (fma.f64 (/.f64 x y) #s(literal -1/2 binary64) (+.f64 (PI.f64) (/.f64 (PI.f64) #s(literal 2 binary64))))))
cost-diff	2	(+.f64 (PI.f64) (/.f64 (PI.f64) #s(literal 2 binary64)))
cost-diff	2	(sin.f64 (fma.f64 (/.f64 x y) #s(literal -1/2 binary64) (+.f64 (PI.f64) (/.f64 (PI.f64) #s(literal 2 binary64)))))
cost-diff	0	#s(approx (/ (/ (sin (/ (neg x) y)) (+ 1 (cos (/ x y)))) (sin (/ x (* y 2)))) #s(literal -1 binary64))
cost-diff	2	(.f64 (cos.f64 (.f64 x (/.f64 #s(literal 1/2 binary64) y))) #s(literal 1 binary64))
cost-diff	2	(-.f64 (.f64 (cos.f64 (.f64 x (/.f64 #s(literal 1/2 binary64) y))) #s(literal 1 binary64)) (.f64 (sin.f64 (fma.f64 x (/.f64 #s(literal 1/2 binary64) y) (PI.f64))) (sin.f64 (neg.f64 (.f64 #s(literal 2 binary64) (PI.f64))))))
cost-diff	3	(sin.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (PI.f64))))
cost-diff	7	(.f64 (sin.f64 (fma.f64 x (/.f64 #s(literal 1/2 binary64) y) (PI.f64))) (sin.f64 (neg.f64 (.f64 #s(literal 2 binary64) (PI.f64)))))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	58	460
0	96	423
1	162	357
2	311	311
3	570	296
4	1023	296
5	2110	292
6	5036	292
0	8204	291

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

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

localize957.0ms (9.4%)

Memory

25.2MiB live, 935.9MiB allocated

Localize:

Found 17 expressions of interest:

New	Metric	Score
accuracy	7.071715706472062	(/.f64 (/.f64 (cos.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 x y))) (+.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x y)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
accuracy	26.302783869361463	(sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))
accuracy	26.332328716211048	(cos.f64 (/.f64 x y))
accuracy	59.32671485922548	(cos.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 x y)))
accuracy	0.1171875	(fma.f64 x (/.f64 #s(literal 1/2 binary64) y) (PI.f64))
accuracy	26.53269164616618	(cos.f64 (fma.f64 x (/.f64 #s(literal 1/2 binary64) y) (PI.f64)))
accuracy	59.43606641367527	(sin.f64 (fma.f64 x (/.f64 #s(literal 1/2 binary64) y) (PI.f64)))
accuracy	61.92199421717352	(sin.f64 (neg.f64 (PI.f64)))
accuracy	0.0	#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal -1 binary64) (sin.f64 (fma.f64 (/.f64 x y) #s(literal -1/2 binary64) (+.f64 (PI.f64) (/.f64 (PI.f64) #s(literal 2 binary64)))))))
accuracy	0.01171875	(fma.f64 (/.f64 x y) #s(literal -1/2 binary64) (+.f64 (PI.f64) (/.f64 (PI.f64) #s(literal 2 binary64))))
accuracy	0.109375	(/.f64 #s(literal -1 binary64) (sin.f64 (fma.f64 (/.f64 x y) #s(literal -1/2 binary64) (+.f64 (PI.f64) (/.f64 (PI.f64) #s(literal 2 binary64))))))
accuracy	26.570810253040456	(sin.f64 (fma.f64 (/.f64 x y) #s(literal -1/2 binary64) (+.f64 (PI.f64) (/.f64 (PI.f64) #s(literal 2 binary64)))))
accuracy	26.293574600210473	#s(approx (/ (/ (sin (/ (neg x) y)) (+ 1 (cos (/ x y)))) (sin (/ x (* y 2)))) #s(literal -1 binary64))
accuracy	0.20047628162065376	(*.f64 x (/.f64 #s(literal 1/2 binary64) y))
accuracy	26.107853517260914	(cos.f64 (*.f64 x (/.f64 #s(literal 1/2 binary64) y)))
accuracy	59.43606641367527	(sin.f64 (fma.f64 x (/.f64 #s(literal 1/2 binary64) y) (PI.f64)))
accuracy	61.923480607669234	(sin.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (PI.f64))))

Samples

662.0ms	148×	2	valid
187.0ms	107×	1	valid
9.0ms	1×	3	valid

Compiler

Compiled 876 to 112 computations (87.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 790.0ms

ival-sin: 487.0ms (61.7% of total)

ival-div: 100.0ms (12.7% of total)

ival-cos: 68.0ms (8.6% of total)

ival-mult: 39.0ms (4.9% of total)

adjust: 37.0ms (4.7% of total)

ival-pi: 24.0ms (3% of total)

ival-add: 17.0ms (2.2% of total)

ival-neg: 7.0ms (0.9% of total)

ival-tan: 7.0ms (0.9% of total)

ival-sub: 3.0ms (0.4% of total)

exact: 1.0ms (0.1% of total)

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

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

series44.0ms (0.4%)

Memory

19.1MiB live, 56.0MiB allocated

Counts

24 → 176

Calls

Call 1

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

Outputs
(* (sin (PI)) (sin (neg (* 2 (PI)))))
(+ (* 1/2 (/ (* x (* (cos (PI)) (sin (neg (* 2 (PI)))))) y)) (* (sin (PI)) (sin (neg (* 2 (PI))))))
(+ (* x (+ (* -1/8 (/ (* x (* (sin (PI)) (sin (neg (* 2 (PI)))))) (pow y 2))) (* 1/2 (/ (* (cos (PI)) (sin (neg (* 2 (PI))))) y)))) (* (sin (PI)) (sin (neg (* 2 (PI))))))
(+ (* x (+ (* 1/2 (/ (* (cos (PI)) (sin (neg (* 2 (PI))))) y)) (* x (+ (* -1/8 (/ (* (sin (PI)) (sin (neg (* 2 (PI))))) (pow y 2))) (* -1/48 (/ (* x (* (cos (PI)) (sin (neg (* 2 (PI)))))) (pow y 3))))))) (* (sin (PI)) (sin (neg (* 2 (PI))))))
(- 1 (* (sin (PI)) (sin (neg (* 2 (PI))))))
(- (+ 1 (* -1/2 (/ (* x (* (cos (PI)) (sin (neg (* 2 (PI)))))) y))) (* (sin (PI)) (sin (neg (* 2 (PI))))))
(- (+ 1 (* x (- (* -1 (* x (+ (* -1/8 (/ (* (sin (PI)) (sin (neg (* 2 (PI))))) (pow y 2))) (* 1/8 (/ 1 (pow y 2)))))) (* 1/2 (/ (* (cos (PI)) (sin (neg (* 2 (PI))))) y))))) (* (sin (PI)) (sin (neg (* 2 (PI))))))
(- (+ 1 (* x (- (* x (- (* 1/48 (/ (* x (* (cos (PI)) (sin (neg (* 2 (PI)))))) (pow y 3))) (+ (* -1/8 (/ (* (sin (PI)) (sin (neg (* 2 (PI))))) (pow y 2))) (* 1/8 (/ 1 (pow y 2)))))) (* 1/2 (/ (* (cos (PI)) (sin (neg (* 2 (PI))))) y))))) (* (sin (PI)) (sin (neg (* 2 (PI))))))
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))))))
-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) (- (* (pow x 2) (- (* 269/64512 (/ 1 (pow y 6))) (* 443/80640 (/ 1 (pow y 6))))) (* 5/384 (/ 1 (pow y 4))))) (* 1/8 (/ 1 (pow y 2))))) 1)
(sin (+ (PI) (* 1/2 (PI))))
(+ (sin (+ (PI) (* 1/2 (PI)))) (* -1/2 (/ (* x (cos (+ (PI) (* 1/2 (PI))))) y)))
(+ (sin (+ (PI) (* 1/2 (PI)))) (* x (+ (* -1/2 (/ (cos (+ (PI) (* 1/2 (PI)))) y)) (* -1/8 (/ (* x (sin (+ (PI) (* 1/2 (PI))))) (pow y 2))))))
(+ (sin (+ (PI) (* 1/2 (PI)))) (* x (+ (* -1/2 (/ (cos (+ (PI) (* 1/2 (PI)))) y)) (* x (+ (* -1/8 (/ (sin (+ (PI) (* 1/2 (PI)))) (pow y 2))) (* 1/48 (/ (* x (cos (+ (PI) (* 1/2 (PI))))) (pow y 3))))))))
(/ -1 (sin (+ (PI) (* 1/2 (PI)))))
(- (* -1/2 (/ (* x (cos (+ (PI) (* 1/2 (PI))))) (* y (pow (sin (+ (PI) (* 1/2 (PI)))) 2)))) (/ 1 (sin (+ (PI) (* 1/2 (PI))))))
(- (* x (- (* -1 (* x (+ (* 1/8 (/ 1 (* (pow y 2) (sin (+ (PI) (* 1/2 (PI))))))) (* 1/4 (/ (pow (cos (+ (PI) (* 1/2 (PI)))) 2) (* (pow y 2) (pow (sin (+ (PI) (* 1/2 (PI)))) 3))))))) (* 1/2 (/ (cos (+ (PI) (* 1/2 (PI)))) (* y (pow (sin (+ (PI) (* 1/2 (PI)))) 2)))))) (/ 1 (sin (+ (PI) (* 1/2 (PI))))))
(- (* x (- (* x (- (* -1 (* x (+ (* -1/48 (/ (cos (+ (PI) (* 1/2 (PI)))) (* (pow y 3) (pow (sin (+ (PI) (* 1/2 (PI)))) 2)))) (+ (* 1/16 (/ (cos (+ (PI) (* 1/2 (PI)))) (* (pow y 3) (pow (sin (+ (PI) (* 1/2 (PI)))) 2)))) (* 1/2 (/ (* (cos (+ (PI) (* 1/2 (PI)))) (+ (* 1/4 (/ (pow (cos (+ (PI) (* 1/2 (PI)))) 2) (* (pow y 2) (pow (sin (+ (PI) (* 1/2 (PI)))) 3)))) (* 1/8 (/ 1 (* (pow y 2) (sin (+ (PI) (* 1/2 (PI))))))))) (* y (sin (+ (PI) (* 1/2 (PI))))))))))) (+ (* 1/8 (/ 1 (* (pow y 2) (sin (+ (PI) (* 1/2 (PI))))))) (* 1/4 (/ (pow (cos (+ (PI) (* 1/2 (PI)))) 2) (* (pow y 2) (pow (sin (+ (PI) (* 1/2 (PI)))) 3))))))) (* 1/2 (/ (cos (+ (PI) (* 1/2 (PI)))) (* y (pow (sin (+ (PI) (* 1/2 (PI)))) 2)))))) (/ 1 (sin (+ (PI) (* 1/2 (PI))))))
(+ 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))))))
(* (sin (PI)) (sin (neg (PI))))
(+ (* 1/2 (/ (* x (* (cos (PI)) (sin (neg (PI))))) y)) (* (sin (PI)) (sin (neg (PI)))))
(+ (* x (+ (* -1/8 (/ (* x (* (sin (PI)) (sin (neg (PI))))) (pow y 2))) (* 1/2 (/ (* (cos (PI)) (sin (neg (PI)))) y)))) (* (sin (PI)) (sin (neg (PI)))))
(+ (* x (+ (* 1/2 (/ (* (cos (PI)) (sin (neg (PI)))) y)) (* x (+ (* -1/8 (/ (* (sin (PI)) (sin (neg (PI)))) (pow y 2))) (* -1/48 (/ (* x (* (cos (PI)) (sin (neg (PI))))) (pow y 3))))))) (* (sin (PI)) (sin (neg (PI)))))
(+ (* -1 (cos (PI))) (* (sin (PI)) (sin (neg (PI)))))
(+ (* -1 (cos (PI))) (+ (* x (+ (* 1/2 (/ (sin (PI)) y)) (* 1/2 (/ (* (cos (PI)) (sin (neg (PI)))) y)))) (* (sin (PI)) (sin (neg (PI))))))
(+ (* -1 (cos (PI))) (+ (* x (+ (* 1/2 (/ (sin (PI)) y)) (+ (* 1/2 (/ (* (cos (PI)) (sin (neg (PI)))) y)) (* x (+ (* -1/8 (/ (* (sin (PI)) (sin (neg (PI)))) (pow y 2))) (* 1/8 (/ (cos (PI)) (pow y 2)))))))) (* (sin (PI)) (sin (neg (PI))))))
(+ (* -1 (cos (PI))) (+ (* x (+ (* 1/2 (/ (sin (PI)) y)) (+ (* 1/2 (/ (* (cos (PI)) (sin (neg (PI)))) y)) (* x (+ (* -1/8 (/ (* (sin (PI)) (sin (neg (PI)))) (pow y 2))) (+ (* 1/8 (/ (cos (PI)) (pow y 2))) (* x (+ (* -1/48 (/ (sin (PI)) (pow y 3))) (* -1/48 (/ (* (cos (PI)) (sin (neg (PI)))) (pow y 3))))))))))) (* (sin (PI)) (sin (neg (PI))))))
(sin (PI))
(+ (sin (PI)) (* 1/2 (/ (* x (cos (PI))) y)))
(+ (sin (PI)) (* x (+ (* -1/8 (/ (* x (sin (PI))) (pow y 2))) (* 1/2 (/ (cos (PI)) y)))))
(+ (sin (PI)) (* x (+ (* 1/2 (/ (cos (PI)) y)) (* x (+ (* -1/8 (/ (sin (PI)) (pow y 2))) (* -1/48 (/ (* x (cos (PI))) (pow y 3))))))))
(* 1/2 (cos (* 1/2 (PI))))
(+ (* -1/2 (/ (* x (sin (* 1/2 (PI)))) y)) (* 1/2 (cos (* 1/2 (PI)))))
(+ (* 1/2 (cos (* 1/2 (PI)))) (* x (+ (* -1/2 (/ (sin (* 1/2 (PI))) y)) (* x (- (* -1/4 (/ (cos (* 1/2 (PI))) (pow y 2))) (* -1/8 (/ (cos (* 1/2 (PI))) (pow y 2))))))))
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(- (+ 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 (/ (+ (* -1/2 (* x (* (cos (PI)) (sin (neg (PI)))))) (* 1/8 (/ (* (pow x 2) (* (sin (PI)) (sin (neg (PI))))) y))) y)) (* (sin (PI)) (sin (neg (PI)))))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (* (pow x 2) (* (sin (PI)) (sin (neg (PI)))))) (* -1/48 (/ (* (pow x 3) (* (cos (PI)) (sin (neg (PI))))) y))) y)) (* -1/2 (* x (* (cos (PI)) (sin (neg (PI))))))) y)) (* (sin (PI)) (sin (neg (PI)))))
(+ (* -1 (cos (PI))) (+ (* -1 (/ (+ (* -1/2 (* x (sin (PI)))) (* -1/2 (* x (* (cos (PI)) (sin (neg (PI))))))) y)) (* (sin (PI)) (sin (neg (PI))))))
(+ (* -1 (cos (PI))) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (* (pow x 2) (* (sin (PI)) (sin (neg (PI)))))) (* 1/8 (* (pow x 2) (cos (PI))))) y)) (+ (* -1/2 (* x (sin (PI)))) (* -1/2 (* x (* (cos (PI)) (sin (neg (PI)))))))) y)) (* (sin (PI)) (sin (neg (PI))))))
(+ (* -1 (cos (PI))) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* 1/48 (* (pow x 3) (sin (PI)))) (* 1/48 (* (pow x 3) (* (cos (PI)) (sin (neg (PI))))))) y)) (+ (* -1/8 (* (pow x 2) (* (sin (PI)) (sin (neg (PI)))))) (* 1/8 (* (pow x 2) (cos (PI)))))) y)) (+ (* -1/2 (* x (sin (PI)))) (* -1/2 (* x (* (cos (PI)) (sin (neg (PI)))))))) y)) (* (sin (PI)) (sin (neg (PI))))))
(+ (sin (PI)) (* -1 (/ (+ (* -1/2 (* x (cos (PI)))) (* 1/8 (/ (* (pow x 2) (sin (PI))) y))) y)))
(+ (sin (PI)) (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (* (pow x 2) (sin (PI)))) (* -1/48 (/ (* (pow x 3) (cos (PI))) y))) y)) (* -1/2 (* x (cos (PI))))) y)))
(+ (* -1 (/ (+ (* -1 (/ (- (* -1/4 (* (pow x 2) (cos (* 1/2 (PI))))) (* -1/8 (* (pow x 2) (cos (* 1/2 (PI)))))) y)) (* 1/2 (* x (sin (* 1/2 (PI)))))) y)) (* 1/2 (cos (* 1/2 (PI)))))
(+ (* -1 (/ (+ (* -1 (/ (- (+ (* -1 (/ (- (* -1/12 (* (pow x 3) (sin (* 1/2 (PI))))) (* -1/8 (* (pow x 3) (sin (* 1/2 (PI)))))) y)) (* -1/4 (* (pow x 2) (cos (* 1/2 (PI)))))) (* -1/8 (* (pow x 2) (cos (* 1/2 (PI)))))) y)) (* 1/2 (* x (sin (* 1/2 (PI)))))) y)) (* 1/2 (cos (* 1/2 (PI)))))
(+ (cos (* 1/2 (PI))) (* -1 (/ (- (* 1/2 (/ (* (pow x 2) (cos (* 1/2 (PI)))) y)) (* -1 (* x (sin (* 1/2 (PI)))))) y)))
(+ (cos (* 1/2 (PI))) (* -1 (/ (- (* -1 (/ (+ (* -1/2 (* (pow x 2) (cos (* 1/2 (PI))))) (* 1/6 (/ (* (pow x 3) (sin (* 1/2 (PI)))) y))) y)) (* -1 (* x (sin (* 1/2 (PI)))))) y)))
(* -1 (* y (+ (* -1 (/ (cos (* 1/2 (PI))) x)) (/ (sin (* 1/2 (PI))) y))))
(* -1 (* y (+ (* -1 (/ (cos (* 1/2 (PI))) x)) (* -1 (/ (+ (* -1 (sin (* 1/2 (PI)))) (* -1 (/ (- (* 1/2 (* x (cos (* 1/2 (PI))))) (/ (* (cos (* 1/2 (PI))) (+ (* 1/24 (pow x 3)) (* 1/4 (pow x 3)))) (pow x 2))) y))) y)))))
(* -1 (* y (+ (* -1 (/ (cos (* 1/2 (PI))) x)) (* -1 (/ (+ (* -1 (sin (* 1/2 (PI)))) (* -1 (/ (- (+ (* -1 (/ (- (* 1/6 (* (pow x 2) (sin (* 1/2 (PI))))) (/ (* (sin (* 1/2 (PI))) (+ (* 1/24 (pow x 3)) (* 1/4 (pow x 3)))) x)) y)) (* 1/2 (* x (cos (* 1/2 (PI)))))) (/ (* (cos (* 1/2 (PI))) (+ (* 1/24 (pow x 3)) (* 1/4 (pow x 3)))) (pow x 2))) y))) y)))))
(+ (cos (PI)) (* -1 (/ (- (* 1/8 (/ (* (pow x 2) (cos (PI))) y)) (* -1/2 (* x (sin (PI))))) y)))
(+ (cos (PI)) (* -1 (/ (- (* -1 (/ (+ (* -1/8 (* (pow x 2) (cos (PI)))) (* 1/48 (/ (* (pow x 3) (sin (PI))) y))) y)) (* -1/2 (* x (sin (PI))))) 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))

Calls

6 calls:

Time	Variable		Point	Expression
10.0ms	x	@	inf	((* (sin (+ (* x (/ 1/2 y)) (PI))) (sin (neg (* 2 (PI))))) (sin (neg (* 2 (PI)))) (- (* (cos (* x (/ 1/2 y))) 1) (* (sin (+ (* x (/ 1/2 y)) (PI))) (sin (neg (* 2 (PI)))))) (* (cos (* x (/ 1/2 y))) 1) (/ (/ (sin (/ (neg x) y)) (+ 1 (cos (/ x y)))) (sin (/ x (* y 2)))) (sin (+ (* (/ x y) -1/2) (+ (PI) (/ (PI) 2)))) (+ (PI) (/ (PI) 2)) (/ -1 (sin (+ (* (/ x y) -1/2) (+ (PI) (/ (PI) 2))))) (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (* (sin (+ (* x (/ 1/2 y)) (PI))) (sin (neg (PI)))) (+ (* (cos (+ (* x (/ 1/2 y)) (PI))) -1) (* (sin (+ (* x (/ 1/2 y)) (PI))) (sin (neg (PI))))) (sin (neg (PI))) (sin (+ (* x (/ 1/2 y)) (PI))) (/ (cos (+ (/ (PI) 2) (/ x y))) (+ 1 (cos (/ x y)))) (cos (+ (/ (PI) 2) (/ x y))) (+ (/ (PI) 2) (/ x y)) (/ (/ (cos (+ (/ (PI) 2) (/ x y))) (+ 1 (cos (/ x y)))) (sin (/ x (* y 2)))) (cos (* x (/ 1/2 y))) (* x (/ 1/2 y)) (+ (* (/ x y) -1/2) (+ (PI) (/ (PI) 2))) (cos (+ (* x (/ 1/2 y)) (PI))) (+ (* x (/ 1/2 y)) (PI)) (cos (/ x y)) (sin (/ x (* y 2))))
7.0ms	y	@	inf	((* (sin (+ (* x (/ 1/2 y)) (PI))) (sin (neg (* 2 (PI))))) (sin (neg (* 2 (PI)))) (- (* (cos (* x (/ 1/2 y))) 1) (* (sin (+ (* x (/ 1/2 y)) (PI))) (sin (neg (* 2 (PI)))))) (* (cos (* x (/ 1/2 y))) 1) (/ (/ (sin (/ (neg x) y)) (+ 1 (cos (/ x y)))) (sin (/ x (* y 2)))) (sin (+ (* (/ x y) -1/2) (+ (PI) (/ (PI) 2)))) (+ (PI) (/ (PI) 2)) (/ -1 (sin (+ (* (/ x y) -1/2) (+ (PI) (/ (PI) 2))))) (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (* (sin (+ (* x (/ 1/2 y)) (PI))) (sin (neg (PI)))) (+ (* (cos (+ (* x (/ 1/2 y)) (PI))) -1) (* (sin (+ (* x (/ 1/2 y)) (PI))) (sin (neg (PI))))) (sin (neg (PI))) (sin (+ (* x (/ 1/2 y)) (PI))) (/ (cos (+ (/ (PI) 2) (/ x y))) (+ 1 (cos (/ x y)))) (cos (+ (/ (PI) 2) (/ x y))) (+ (/ (PI) 2) (/ x y)) (/ (/ (cos (+ (/ (PI) 2) (/ x y))) (+ 1 (cos (/ x y)))) (sin (/ x (* y 2)))) (cos (* x (/ 1/2 y))) (* x (/ 1/2 y)) (+ (* (/ x y) -1/2) (+ (PI) (/ (PI) 2))) (cos (+ (* x (/ 1/2 y)) (PI))) (+ (* x (/ 1/2 y)) (PI)) (cos (/ x y)) (sin (/ x (* y 2))))
6.0ms	x	@	0	((* (sin (+ (* x (/ 1/2 y)) (PI))) (sin (neg (* 2 (PI))))) (sin (neg (* 2 (PI)))) (- (* (cos (* x (/ 1/2 y))) 1) (* (sin (+ (* x (/ 1/2 y)) (PI))) (sin (neg (* 2 (PI)))))) (* (cos (* x (/ 1/2 y))) 1) (/ (/ (sin (/ (neg x) y)) (+ 1 (cos (/ x y)))) (sin (/ x (* y 2)))) (sin (+ (* (/ x y) -1/2) (+ (PI) (/ (PI) 2)))) (+ (PI) (/ (PI) 2)) (/ -1 (sin (+ (* (/ x y) -1/2) (+ (PI) (/ (PI) 2))))) (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (* (sin (+ (* x (/ 1/2 y)) (PI))) (sin (neg (PI)))) (+ (* (cos (+ (* x (/ 1/2 y)) (PI))) -1) (* (sin (+ (* x (/ 1/2 y)) (PI))) (sin (neg (PI))))) (sin (neg (PI))) (sin (+ (* x (/ 1/2 y)) (PI))) (/ (cos (+ (/ (PI) 2) (/ x y))) (+ 1 (cos (/ x y)))) (cos (+ (/ (PI) 2) (/ x y))) (+ (/ (PI) 2) (/ x y)) (/ (/ (cos (+ (/ (PI) 2) (/ x y))) (+ 1 (cos (/ x y)))) (sin (/ x (* y 2)))) (cos (* x (/ 1/2 y))) (* x (/ 1/2 y)) (+ (* (/ x y) -1/2) (+ (PI) (/ (PI) 2))) (cos (+ (* x (/ 1/2 y)) (PI))) (+ (* x (/ 1/2 y)) (PI)) (cos (/ x y)) (sin (/ x (* y 2))))
6.0ms	y	@	-inf	((* (sin (+ (* x (/ 1/2 y)) (PI))) (sin (neg (* 2 (PI))))) (sin (neg (* 2 (PI)))) (- (* (cos (* x (/ 1/2 y))) 1) (* (sin (+ (* x (/ 1/2 y)) (PI))) (sin (neg (* 2 (PI)))))) (* (cos (* x (/ 1/2 y))) 1) (/ (/ (sin (/ (neg x) y)) (+ 1 (cos (/ x y)))) (sin (/ x (* y 2)))) (sin (+ (* (/ x y) -1/2) (+ (PI) (/ (PI) 2)))) (+ (PI) (/ (PI) 2)) (/ -1 (sin (+ (* (/ x y) -1/2) (+ (PI) (/ (PI) 2))))) (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (* (sin (+ (* x (/ 1/2 y)) (PI))) (sin (neg (PI)))) (+ (* (cos (+ (* x (/ 1/2 y)) (PI))) -1) (* (sin (+ (* x (/ 1/2 y)) (PI))) (sin (neg (PI))))) (sin (neg (PI))) (sin (+ (* x (/ 1/2 y)) (PI))) (/ (cos (+ (/ (PI) 2) (/ x y))) (+ 1 (cos (/ x y)))) (cos (+ (/ (PI) 2) (/ x y))) (+ (/ (PI) 2) (/ x y)) (/ (/ (cos (+ (/ (PI) 2) (/ x y))) (+ 1 (cos (/ x y)))) (sin (/ x (* y 2)))) (cos (* x (/ 1/2 y))) (* x (/ 1/2 y)) (+ (* (/ x y) -1/2) (+ (PI) (/ (PI) 2))) (cos (+ (* x (/ 1/2 y)) (PI))) (+ (* x (/ 1/2 y)) (PI)) (cos (/ x y)) (sin (/ x (* y 2))))
6.0ms	x	@	-inf	((* (sin (+ (* x (/ 1/2 y)) (PI))) (sin (neg (* 2 (PI))))) (sin (neg (* 2 (PI)))) (- (* (cos (* x (/ 1/2 y))) 1) (* (sin (+ (* x (/ 1/2 y)) (PI))) (sin (neg (* 2 (PI)))))) (* (cos (* x (/ 1/2 y))) 1) (/ (/ (sin (/ (neg x) y)) (+ 1 (cos (/ x y)))) (sin (/ x (* y 2)))) (sin (+ (* (/ x y) -1/2) (+ (PI) (/ (PI) 2)))) (+ (PI) (/ (PI) 2)) (/ -1 (sin (+ (* (/ x y) -1/2) (+ (PI) (/ (PI) 2))))) (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (* (sin (+ (* x (/ 1/2 y)) (PI))) (sin (neg (PI)))) (+ (* (cos (+ (* x (/ 1/2 y)) (PI))) -1) (* (sin (+ (* x (/ 1/2 y)) (PI))) (sin (neg (PI))))) (sin (neg (PI))) (sin (+ (* x (/ 1/2 y)) (PI))) (/ (cos (+ (/ (PI) 2) (/ x y))) (+ 1 (cos (/ x y)))) (cos (+ (/ (PI) 2) (/ x y))) (+ (/ (PI) 2) (/ x y)) (/ (/ (cos (+ (/ (PI) 2) (/ x y))) (+ 1 (cos (/ x y)))) (sin (/ x (* y 2)))) (cos (* x (/ 1/2 y))) (* x (/ 1/2 y)) (+ (* (/ x y) -1/2) (+ (PI) (/ (PI) 2))) (cos (+ (* x (/ 1/2 y)) (PI))) (+ (* x (/ 1/2 y)) (PI)) (cos (/ x y)) (sin (/ x (* y 2))))

simplify195.0ms (1.9%)

Memory

-39.7MiB live, 242.4MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1162	5735
1	4166	5063
0	8438	4792

Stop Event

1×	iter limit
1×	node limit

Counts

176 → 176

Calls

Call 1

Inputs
(* (sin (PI)) (sin (neg (* 2 (PI)))))
(+ (* 1/2 (/ (* x (* (cos (PI)) (sin (neg (* 2 (PI)))))) y)) (* (sin (PI)) (sin (neg (* 2 (PI))))))
(+ (* x (+ (* -1/8 (/ (* x (* (sin (PI)) (sin (neg (* 2 (PI)))))) (pow y 2))) (* 1/2 (/ (* (cos (PI)) (sin (neg (* 2 (PI))))) y)))) (* (sin (PI)) (sin (neg (* 2 (PI))))))
(+ (* x (+ (* 1/2 (/ (* (cos (PI)) (sin (neg (* 2 (PI))))) y)) (* x (+ (* -1/8 (/ (* (sin (PI)) (sin (neg (* 2 (PI))))) (pow y 2))) (* -1/48 (/ (* x (* (cos (PI)) (sin (neg (* 2 (PI)))))) (pow y 3))))))) (* (sin (PI)) (sin (neg (* 2 (PI))))))
(- 1 (* (sin (PI)) (sin (neg (* 2 (PI))))))
(- (+ 1 (* -1/2 (/ (* x (* (cos (PI)) (sin (neg (* 2 (PI)))))) y))) (* (sin (PI)) (sin (neg (* 2 (PI))))))
(- (+ 1 (* x (- (* -1 (* x (+ (* -1/8 (/ (* (sin (PI)) (sin (neg (* 2 (PI))))) (pow y 2))) (* 1/8 (/ 1 (pow y 2)))))) (* 1/2 (/ (* (cos (PI)) (sin (neg (* 2 (PI))))) y))))) (* (sin (PI)) (sin (neg (* 2 (PI))))))
(- (+ 1 (* x (- (* x (- (* 1/48 (/ (* x (* (cos (PI)) (sin (neg (* 2 (PI)))))) (pow y 3))) (+ (* -1/8 (/ (* (sin (PI)) (sin (neg (* 2 (PI))))) (pow y 2))) (* 1/8 (/ 1 (pow y 2)))))) (* 1/2 (/ (* (cos (PI)) (sin (neg (* 2 (PI))))) y))))) (* (sin (PI)) (sin (neg (* 2 (PI))))))
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))))))
-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) (- (* (pow x 2) (- (* 269/64512 (/ 1 (pow y 6))) (* 443/80640 (/ 1 (pow y 6))))) (* 5/384 (/ 1 (pow y 4))))) (* 1/8 (/ 1 (pow y 2))))) 1)
(sin (+ (PI) (* 1/2 (PI))))
(+ (sin (+ (PI) (* 1/2 (PI)))) (* -1/2 (/ (* x (cos (+ (PI) (* 1/2 (PI))))) y)))
(+ (sin (+ (PI) (* 1/2 (PI)))) (* x (+ (* -1/2 (/ (cos (+ (PI) (* 1/2 (PI)))) y)) (* -1/8 (/ (* x (sin (+ (PI) (* 1/2 (PI))))) (pow y 2))))))
(+ (sin (+ (PI) (* 1/2 (PI)))) (* x (+ (* -1/2 (/ (cos (+ (PI) (* 1/2 (PI)))) y)) (* x (+ (* -1/8 (/ (sin (+ (PI) (* 1/2 (PI)))) (pow y 2))) (* 1/48 (/ (* x (cos (+ (PI) (* 1/2 (PI))))) (pow y 3))))))))
(/ -1 (sin (+ (PI) (* 1/2 (PI)))))
(- (* -1/2 (/ (* x (cos (+ (PI) (* 1/2 (PI))))) (* y (pow (sin (+ (PI) (* 1/2 (PI)))) 2)))) (/ 1 (sin (+ (PI) (* 1/2 (PI))))))
(- (* x (- (* -1 (* x (+ (* 1/8 (/ 1 (* (pow y 2) (sin (+ (PI) (* 1/2 (PI))))))) (* 1/4 (/ (pow (cos (+ (PI) (* 1/2 (PI)))) 2) (* (pow y 2) (pow (sin (+ (PI) (* 1/2 (PI)))) 3))))))) (* 1/2 (/ (cos (+ (PI) (* 1/2 (PI)))) (* y (pow (sin (+ (PI) (* 1/2 (PI)))) 2)))))) (/ 1 (sin (+ (PI) (* 1/2 (PI))))))
(- (* x (- (* x (- (* -1 (* x (+ (* -1/48 (/ (cos (+ (PI) (* 1/2 (PI)))) (* (pow y 3) (pow (sin (+ (PI) (* 1/2 (PI)))) 2)))) (+ (* 1/16 (/ (cos (+ (PI) (* 1/2 (PI)))) (* (pow y 3) (pow (sin (+ (PI) (* 1/2 (PI)))) 2)))) (* 1/2 (/ (* (cos (+ (PI) (* 1/2 (PI)))) (+ (* 1/4 (/ (pow (cos (+ (PI) (* 1/2 (PI)))) 2) (* (pow y 2) (pow (sin (+ (PI) (* 1/2 (PI)))) 3)))) (* 1/8 (/ 1 (* (pow y 2) (sin (+ (PI) (* 1/2 (PI))))))))) (* y (sin (+ (PI) (* 1/2 (PI))))))))))) (+ (* 1/8 (/ 1 (* (pow y 2) (sin (+ (PI) (* 1/2 (PI))))))) (* 1/4 (/ (pow (cos (+ (PI) (* 1/2 (PI)))) 2) (* (pow y 2) (pow (sin (+ (PI) (* 1/2 (PI)))) 3))))))) (* 1/2 (/ (cos (+ (PI) (* 1/2 (PI)))) (* y (pow (sin (+ (PI) (* 1/2 (PI)))) 2)))))) (/ 1 (sin (+ (PI) (* 1/2 (PI))))))
(+ 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))))))
(* (sin (PI)) (sin (neg (PI))))
(+ (* 1/2 (/ (* x (* (cos (PI)) (sin (neg (PI))))) y)) (* (sin (PI)) (sin (neg (PI)))))
(+ (* x (+ (* -1/8 (/ (* x (* (sin (PI)) (sin (neg (PI))))) (pow y 2))) (* 1/2 (/ (* (cos (PI)) (sin (neg (PI)))) y)))) (* (sin (PI)) (sin (neg (PI)))))
(+ (* x (+ (* 1/2 (/ (* (cos (PI)) (sin (neg (PI)))) y)) (* x (+ (* -1/8 (/ (* (sin (PI)) (sin (neg (PI)))) (pow y 2))) (* -1/48 (/ (* x (* (cos (PI)) (sin (neg (PI))))) (pow y 3))))))) (* (sin (PI)) (sin (neg (PI)))))
(+ (* -1 (cos (PI))) (* (sin (PI)) (sin (neg (PI)))))
(+ (* -1 (cos (PI))) (+ (* x (+ (* 1/2 (/ (sin (PI)) y)) (* 1/2 (/ (* (cos (PI)) (sin (neg (PI)))) y)))) (* (sin (PI)) (sin (neg (PI))))))
(+ (* -1 (cos (PI))) (+ (* x (+ (* 1/2 (/ (sin (PI)) y)) (+ (* 1/2 (/ (* (cos (PI)) (sin (neg (PI)))) y)) (* x (+ (* -1/8 (/ (* (sin (PI)) (sin (neg (PI)))) (pow y 2))) (* 1/8 (/ (cos (PI)) (pow y 2)))))))) (* (sin (PI)) (sin (neg (PI))))))
(+ (* -1 (cos (PI))) (+ (* x (+ (* 1/2 (/ (sin (PI)) y)) (+ (* 1/2 (/ (* (cos (PI)) (sin (neg (PI)))) y)) (* x (+ (* -1/8 (/ (* (sin (PI)) (sin (neg (PI)))) (pow y 2))) (+ (* 1/8 (/ (cos (PI)) (pow y 2))) (* x (+ (* -1/48 (/ (sin (PI)) (pow y 3))) (* -1/48 (/ (* (cos (PI)) (sin (neg (PI)))) (pow y 3))))))))))) (* (sin (PI)) (sin (neg (PI))))))
(sin (PI))
(+ (sin (PI)) (* 1/2 (/ (* x (cos (PI))) y)))
(+ (sin (PI)) (* x (+ (* -1/8 (/ (* x (sin (PI))) (pow y 2))) (* 1/2 (/ (cos (PI)) y)))))
(+ (sin (PI)) (* x (+ (* 1/2 (/ (cos (PI)) y)) (* x (+ (* -1/8 (/ (sin (PI)) (pow y 2))) (* -1/48 (/ (* x (cos (PI))) (pow y 3))))))))
(* 1/2 (cos (* 1/2 (PI))))
(+ (* -1/2 (/ (* x (sin (* 1/2 (PI)))) y)) (* 1/2 (cos (* 1/2 (PI)))))
(+ (* 1/2 (cos (* 1/2 (PI)))) (* x (+ (* -1/2 (/ (sin (* 1/2 (PI))) y)) (* x (- (* -1/4 (/ (cos (* 1/2 (PI))) (pow y 2))) (* -1/8 (/ (cos (* 1/2 (PI))) (pow y 2))))))))
(+ (* 1/2 (cos (* 1/2 (PI)))) (* x (+ (* -1/2 (/ (sin (* 1/2 (PI))) y)) (* x (- (+ (* -1/4 (/ (cos (* 1/2 (PI))) (pow y 2))) (* x (- (* 1/12 (/ (sin (* 1/2 (PI))) (pow y 3))) (* 1/8 (/ (sin (* 1/2 (PI))) (pow y 3)))))) (* -1/8 (/ (cos (* 1/2 (PI))) (pow y 2))))))))
(cos (* 1/2 (PI)))
(+ (cos (* 1/2 (PI))) (* -1 (/ (* x (sin (* 1/2 (PI)))) y)))
(+ (cos (* 1/2 (PI))) (* x (- (* -1/2 (/ (* x (cos (* 1/2 (PI)))) (pow y 2))) (/ (sin (* 1/2 (PI))) y))))
(+ (cos (* 1/2 (PI))) (* x (- (* x (+ (* -1/2 (/ (cos (* 1/2 (PI))) (pow y 2))) (* 1/6 (/ (* x (sin (* 1/2 (PI)))) (pow y 3))))) (/ (sin (* 1/2 (PI))) y))))
(* 1/2 (PI))
(+ (* 1/2 (PI)) (/ x y))
(/ (* y (cos (* 1/2 (PI)))) x)
(/ (+ (* -1 (* x (sin (* 1/2 (PI))))) (* y (cos (* 1/2 (PI))))) x)
(/ (+ (* x (+ (* -1 (sin (* 1/2 (PI)))) (* x (- (* -1/2 (/ (cos (* 1/2 (PI))) y)) (* -7/24 (/ (cos (* 1/2 (PI))) y)))))) (* y (cos (* 1/2 (PI))))) x)
(/ (+ (* x (+ (* -1 (sin (* 1/2 (PI)))) (* x (- (+ (* -1/2 (/ (cos (* 1/2 (PI))) y)) (* x (- (* 1/6 (/ (sin (* 1/2 (PI))) (pow y 2))) (* 7/24 (/ (sin (* 1/2 (PI))) (pow y 2)))))) (* -7/24 (/ (cos (* 1/2 (PI))) y)))))) (* y (cos (* 1/2 (PI))))) x)
(* 1/2 (/ x y))
(+ (PI) (* 1/2 (PI)))
(+ (PI) (+ (* -1/2 (/ x y)) (* 1/2 (PI))))
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(- (+ 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 (/ (+ (* -1/2 (* x (* (cos (PI)) (sin (neg (PI)))))) (* 1/8 (/ (* (pow x 2) (* (sin (PI)) (sin (neg (PI))))) y))) y)) (* (sin (PI)) (sin (neg (PI)))))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (* (pow x 2) (* (sin (PI)) (sin (neg (PI)))))) (* -1/48 (/ (* (pow x 3) (* (cos (PI)) (sin (neg (PI))))) y))) y)) (* -1/2 (* x (* (cos (PI)) (sin (neg (PI))))))) y)) (* (sin (PI)) (sin (neg (PI)))))
(+ (* -1 (cos (PI))) (+ (* -1 (/ (+ (* -1/2 (* x (sin (PI)))) (* -1/2 (* x (* (cos (PI)) (sin (neg (PI))))))) y)) (* (sin (PI)) (sin (neg (PI))))))
(+ (* -1 (cos (PI))) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (* (pow x 2) (* (sin (PI)) (sin (neg (PI)))))) (* 1/8 (* (pow x 2) (cos (PI))))) y)) (+ (* -1/2 (* x (sin (PI)))) (* -1/2 (* x (* (cos (PI)) (sin (neg (PI)))))))) y)) (* (sin (PI)) (sin (neg (PI))))))
(+ (* -1 (cos (PI))) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* 1/48 (* (pow x 3) (sin (PI)))) (* 1/48 (* (pow x 3) (* (cos (PI)) (sin (neg (PI))))))) y)) (+ (* -1/8 (* (pow x 2) (* (sin (PI)) (sin (neg (PI)))))) (* 1/8 (* (pow x 2) (cos (PI)))))) y)) (+ (* -1/2 (* x (sin (PI)))) (* -1/2 (* x (* (cos (PI)) (sin (neg (PI)))))))) y)) (* (sin (PI)) (sin (neg (PI))))))
(+ (sin (PI)) (* -1 (/ (+ (* -1/2 (* x (cos (PI)))) (* 1/8 (/ (* (pow x 2) (sin (PI))) y))) y)))
(+ (sin (PI)) (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (* (pow x 2) (sin (PI)))) (* -1/48 (/ (* (pow x 3) (cos (PI))) y))) y)) (* -1/2 (* x (cos (PI))))) y)))
(+ (* -1 (/ (+ (* -1 (/ (- (* -1/4 (* (pow x 2) (cos (* 1/2 (PI))))) (* -1/8 (* (pow x 2) (cos (* 1/2 (PI)))))) y)) (* 1/2 (* x (sin (* 1/2 (PI)))))) y)) (* 1/2 (cos (* 1/2 (PI)))))
(+ (* -1 (/ (+ (* -1 (/ (- (+ (* -1 (/ (- (* -1/12 (* (pow x 3) (sin (* 1/2 (PI))))) (* -1/8 (* (pow x 3) (sin (* 1/2 (PI)))))) y)) (* -1/4 (* (pow x 2) (cos (* 1/2 (PI)))))) (* -1/8 (* (pow x 2) (cos (* 1/2 (PI)))))) y)) (* 1/2 (* x (sin (* 1/2 (PI)))))) y)) (* 1/2 (cos (* 1/2 (PI)))))
(+ (cos (* 1/2 (PI))) (* -1 (/ (- (* 1/2 (/ (* (pow x 2) (cos (* 1/2 (PI)))) y)) (* -1 (* x (sin (* 1/2 (PI)))))) y)))
(+ (cos (* 1/2 (PI))) (* -1 (/ (- (* -1 (/ (+ (* -1/2 (* (pow x 2) (cos (* 1/2 (PI))))) (* 1/6 (/ (* (pow x 3) (sin (* 1/2 (PI)))) y))) y)) (* -1 (* x (sin (* 1/2 (PI)))))) y)))
(* -1 (* y (+ (* -1 (/ (cos (* 1/2 (PI))) x)) (/ (sin (* 1/2 (PI))) y))))
(* -1 (* y (+ (* -1 (/ (cos (* 1/2 (PI))) x)) (* -1 (/ (+ (* -1 (sin (* 1/2 (PI)))) (* -1 (/ (- (* 1/2 (* x (cos (* 1/2 (PI))))) (/ (* (cos (* 1/2 (PI))) (+ (* 1/24 (pow x 3)) (* 1/4 (pow x 3)))) (pow x 2))) y))) y)))))
(* -1 (* y (+ (* -1 (/ (cos (* 1/2 (PI))) x)) (* -1 (/ (+ (* -1 (sin (* 1/2 (PI)))) (* -1 (/ (- (+ (* -1 (/ (- (* 1/6 (* (pow x 2) (sin (* 1/2 (PI))))) (/ (* (sin (* 1/2 (PI))) (+ (* 1/24 (pow x 3)) (* 1/4 (pow x 3)))) x)) y)) (* 1/2 (* x (cos (* 1/2 (PI)))))) (/ (* (cos (* 1/2 (PI))) (+ (* 1/24 (pow x 3)) (* 1/4 (pow x 3)))) (pow x 2))) y))) y)))))
(+ (cos (PI)) (* -1 (/ (- (* 1/8 (/ (* (pow x 2) (cos (PI))) y)) (* -1/2 (* x (sin (PI))))) y)))
(+ (cos (PI)) (* -1 (/ (- (* -1 (/ (+ (* -1/8 (* (pow x 2) (cos (PI)))) (* 1/48 (/ (* (pow x 3) (sin (PI))) y))) y)) (* -1/2 (* x (sin (PI))))) 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
(* (sin (PI)) (sin (neg (* 2 (PI)))))
#s(literal 0 binary64)
(+ (* 1/2 (/ (* x (* (cos (PI)) (sin (neg (* 2 (PI)))))) y)) (* (sin (PI)) (sin (neg (* 2 (PI))))))
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(+ (* x (+ (* 1/2 (/ (* (cos (PI)) (sin (neg (* 2 (PI))))) y)) (* x (+ (* -1/8 (/ (* (sin (PI)) (sin (neg (* 2 (PI))))) (pow y 2))) (* -1/48 (/ (* x (* (cos (PI)) (sin (neg (* 2 (PI)))))) (pow y 3))))))) (* (sin (PI)) (sin (neg (* 2 (PI))))))
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(- 1 (* (sin (PI)) (sin (neg (* 2 (PI))))))
#s(literal 1 binary64)
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1
#s(literal 1 binary64)
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-1
#s(literal -1 binary64)
(- (* -1/8 (/ (pow x 2) (pow y 2))) 1)
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(sin (+ (PI) (* 1/2 (PI))))
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(* (sin (PI)) (sin (neg (PI))))
#s(literal 0 binary64)
(+ (* 1/2 (/ (* x (* (cos (PI)) (sin (neg (PI))))) y)) (* (sin (PI)) (sin (neg (PI)))))
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#s(literal 1 binary64)
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(sin (PI))
#s(literal 0 binary64)
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(/.f64 (fma.f64 #s(literal -1/2 binary64) x (fma.f64 (/.f64 #s(literal 1/48 binary64) y) (/.f64 (pow.f64 x #s(literal 3 binary64)) y) (/.f64 (*.f64 #s(literal -1/3840 binary64) (pow.f64 x #s(literal 5 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 #s(literal -1/2 binary64) x (fma.f64 #s(literal -1/3840 binary64) (/.f64 (pow.f64 x #s(literal 5 binary64)) (pow.f64 y #s(literal 4 binary64))) (fma.f64 (/.f64 #s(literal 1/48 binary64) y) (/.f64 (pow.f64 x #s(literal 3 binary64)) y) (/.f64 (*.f64 #s(literal 1/645120 binary64) (pow.f64 x #s(literal 7 binary64))) (pow.f64 y #s(literal 6 binary64)))))) (neg.f64 y))

rewrite235.0ms (2.3%)

Memory

27.9MiB live, 252.0MiB allocated

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	54	262
0	90	230
1	315	183
2	2568	180
0	8619	180

Stop Event

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

Counts

24 → 694

Calls

Call 1

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

Outputs
(.f64 #s(literal 0 binary64) (sin.f64 (.f64 (/.f64 #s(literal 1/2 binary64) y) x)))
(*.f64 #s(literal 0 binary64) (sin.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) y) x (PI.f64))))
(.f64 (sin.f64 (.f64 (/.f64 #s(literal 1/2 binary64) y) x)) #s(literal 0 binary64))
(*.f64 (sin.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) y) x (PI.f64))) #s(literal 0 binary64))
(/.f64 (neg.f64 (-.f64 (cos.f64 (.f64 (/.f64 #s(literal 1/2 binary64) y) x)) (cos.f64 (.f64 (/.f64 #s(literal 1/2 binary64) y) x)))) #s(literal -2 binary64))
(/.f64 (neg.f64 (-.f64 (cos.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) y) x (PI.f64))) (cos.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) y) x (PI.f64))))) #s(literal -2 binary64))
(/.f64 (-.f64 (cos.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) y) x (PI.f64))) (cos.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) y) x (PI.f64)))) #s(literal 2 binary64))
(/.f64 (-.f64 (cos.f64 (.f64 (/.f64 #s(literal 1/2 binary64) y) x)) (cos.f64 (.f64 (/.f64 #s(literal 1/2 binary64) y) x))) #s(literal 2 binary64))
(neg.f64 (.f64 #s(literal 0 binary64) (sin.f64 (.f64 (/.f64 #s(literal 1/2 binary64) y) x))))
(fma.f64 #s(literal 0 binary64) (.f64 #s(literal -1 binary64) (sin.f64 (.f64 (/.f64 #s(literal 1/2 binary64) y) x))) (.f64 #s(literal 0 binary64) (.f64 #s(literal 0 binary64) (cos.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)))))
(fma.f64 (.f64 #s(literal -1 binary64) (sin.f64 (.f64 (/.f64 #s(literal 1/2 binary64) y) x))) #s(literal 0 binary64) (.f64 (.f64 #s(literal 0 binary64) (cos.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x))) #s(literal 0 binary64)))
(-.f64 (/.f64 (cos.f64 (.f64 (/.f64 #s(literal 1/2 binary64) y) x)) #s(literal 2 binary64)) (/.f64 (cos.f64 (.f64 (/.f64 #s(literal 1/2 binary64) y) x)) #s(literal 2 binary64)))
(-.f64 (/.f64 (cos.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) y) x (PI.f64))) #s(literal 2 binary64)) (/.f64 (cos.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) y) x (PI.f64))) #s(literal 2 binary64)))
(+.f64 (.f64 (.f64 #s(literal -1 binary64) (sin.f64 (.f64 (/.f64 #s(literal 1/2 binary64) y) x))) #s(literal 0 binary64)) (.f64 (.f64 #s(literal 0 binary64) (cos.f64 (.f64 (/.f64 #s(literal 1/2 binary64) y) x))) #s(literal 0 binary64)))
(+.f64 (.f64 #s(literal 0 binary64) (.f64 #s(literal -1 binary64) (sin.f64 (.f64 (/.f64 #s(literal 1/2 binary64) y) x)))) (.f64 #s(literal 0 binary64) (.f64 #s(literal 0 binary64) (cos.f64 (.f64 (/.f64 #s(literal 1/2 binary64) y) x)))))
#s(literal 0 binary64)
(.f64 (cos.f64 (.f64 (/.f64 #s(literal 1/2 binary64) y) x)) #s(literal 1 binary64))
(.f64 #s(literal 1 binary64) (cos.f64 (.f64 (/.f64 #s(literal 1/2 binary64) y) x)))
(/.f64 (-.f64 (-.f64 (cos.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) y) x (PI.f64))) (cos.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) y) x (PI.f64)))) (fma.f64 #s(literal -1 binary64) (cos.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)) (cos.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) y) x (PI.f64))))) #s(literal 2 binary64))
(/.f64 (-.f64 (-.f64 (cos.f64 (.f64 (/.f64 #s(literal 1/2 binary64) y) x)) (cos.f64 (.f64 (/.f64 #s(literal 1/2 binary64) y) x))) (fma.f64 #s(literal -1 binary64) (cos.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)) (cos.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) y) x (PI.f64))))) #s(literal 2 binary64))
(/.f64 (-.f64 (.f64 (pow.f64 (sin.f64 (.f64 (/.f64 #s(literal 1/2 binary64) y) x)) #s(literal 2 binary64)) #s(literal 0 binary64)) (pow.f64 (cos.f64 (.f64 (/.f64 #s(literal 1/2 binary64) y) x)) #s(literal 2 binary64))) (-.f64 (.f64 #s(literal 0 binary64) (sin.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x))) (neg.f64 (cos.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) y) x (PI.f64))))))
(/.f64 (-.f64 (pow.f64 (cos.f64 (.f64 (/.f64 #s(literal 1/2 binary64) y) x)) #s(literal 3 binary64)) (.f64 (pow.f64 (sin.f64 (.f64 (/.f64 #s(literal 1/2 binary64) y) x)) #s(literal 3 binary64)) #s(literal 0 binary64))) (+.f64 (pow.f64 (cos.f64 (.f64 (/.f64 #s(literal 1/2 binary64) y) x)) #s(literal 2 binary64)) (fma.f64 (pow.f64 (sin.f64 (.f64 (/.f64 #s(literal 1/2 binary64) y) x)) #s(literal 2 binary64)) #s(literal 0 binary64) (.f64 (neg.f64 (cos.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) y) x (PI.f64)))) (.f64 #s(literal 0 binary64) (sin.f64 (.f64 (/.f64 #s(literal 1/2 binary64) y) x)))))))
(/.f64 (-.f64 (pow.f64 (cos.f64 (.f64 (/.f64 #s(literal 1/2 binary64) y) x)) #s(literal 3 binary64)) (.f64 (pow.f64 (sin.f64 (.f64 (/.f64 #s(literal 1/2 binary64) y) x)) #s(literal 3 binary64)) #s(literal 0 binary64))) (fma.f64 (cos.f64 (.f64 (/.f64 #s(literal 1/2 binary64) y) x)) (.f64 #s(literal 0 binary64) (sin.f64 (.f64 (/.f64 #s(literal 1/2 binary64) y) x))) (pow.f64 (cos.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)) #s(literal 2 binary64))))
(/.f64 (fma.f64 (pow.f64 (sin.f64 (.f64 (/.f64 #s(literal 1/2 binary64) y) x)) #s(literal 3 binary64)) #s(literal 0 binary64) (pow.f64 (cos.f64 (.f64 (/.f64 #s(literal 1/2 binary64) y) x)) #s(literal 3 binary64))) (+.f64 (pow.f64 (cos.f64 (.f64 (/.f64 #s(literal 1/2 binary64) y) x)) #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 (sin.f64 (.f64 (/.f64 #s(literal 1/2 binary64) y) x)) #s(literal 2 binary64)) #s(literal 0 binary64)) (.f64 (cos.f64 (.f64 (/.f64 #s(literal 1/2 binary64) y) x)) (.f64 #s(literal 0 binary64) (sin.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)))))))
(/.f64 (fma.f64 (pow.f64 (sin.f64 (.f64 (/.f64 #s(literal 1/2 binary64) y) x)) #s(literal 3 binary64)) #s(literal 0 binary64) (pow.f64 (cos.f64 (.f64 (/.f64 #s(literal 1/2 binary64) y) x)) #s(literal 3 binary64))) (fma.f64 (pow.f64 (sin.f64 (.f64 (/.f64 #s(literal 1/2 binary64) y) x)) #s(literal 2 binary64)) #s(literal 0 binary64) (-.f64 (pow.f64 (cos.f64 (.f64 (/.f64 #s(literal 1/2 binary64) y) x)) #s(literal 2 binary64)) (.f64 (neg.f64 (cos.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) y) x (PI.f64)))) (.f64 #s(literal 0 binary64) (sin.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)))))))
(/.f64 (fma.f64 (pow.f64 (sin.f64 (.f64 (/.f64 #s(literal 1/2 binary64) y) x)) #s(literal 3 binary64)) #s(literal 0 binary64) (pow.f64 (cos.f64 (.f64 (/.f64 #s(literal 1/2 binary64) y) x)) #s(literal 3 binary64))) (-.f64 (pow.f64 (cos.f64 (.f64 (/.f64 #s(literal 1/2 binary64) y) x)) #s(literal 2 binary64)) (.f64 (neg.f64 (cos.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) y) x (PI.f64)))) (.f64 #s(literal 0 binary64) (sin.f64 (.f64 (/.f64 #s(literal 1/2 binary64) y) x))))))
(/.f64 (neg.f64 (pow.f64 (cos.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)) #s(literal 2 binary64))) (cos.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) y) x (PI.f64))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 (sin.f64 (.f64 (/.f64 #s(literal 1/2 binary64) y) x)) #s(literal 3 binary64)) #s(literal 0 binary64) (pow.f64 (cos.f64 (.f64 (/.f64 #s(literal 1/2 binary64) y) x)) #s(literal 3 binary64)))) (neg.f64 (-.f64 (pow.f64 (cos.f64 (.f64 (/.f64 #s(literal 1/2 binary64) y) x)) #s(literal 2 binary64)) (.f64 (neg.f64 (cos.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) y) x (PI.f64)))) (.f64 #s(literal 0 binary64) (sin.f64 (.f64 (/.f64 #s(literal 1/2 binary64) y) x)))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (cos.f64 (.f64 (/.f64 #s(literal 1/2 binary64) y) x)) #s(literal 3 binary64)) (.f64 (pow.f64 (sin.f64 (.f64 (/.f64 #s(literal 1/2 binary64) y) x)) #s(literal 3 binary64)) #s(literal 0 binary64)))) (neg.f64 (fma.f64 (cos.f64 (.f64 (/.f64 #s(literal 1/2 binary64) y) x)) (.f64 #s(literal 0 binary64) (sin.f64 (.f64 (/.f64 #s(literal 1/2 binary64) y) x))) (pow.f64 (cos.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)) #s(literal 2 binary64)))))
(/.f64 (pow.f64 (cos.f64 (.f64 (/.f64 #s(literal 1/2 binary64) y) x)) #s(literal 2 binary64)) (cos.f64 (.f64 (/.f64 #s(literal 1/2 binary64) y) x)))
(fma.f64 (sin.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) y) x (.f64 #s(literal 2 binary64) (PI.f64)))) #s(literal 0 binary64) (cos.f64 (.f64 (/.f64 #s(literal 1/2 binary64) y) x)))
(fma.f64 (sin.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) y) x (+.f64 (PI.f64) (neg.f64 (PI.f64))))) #s(literal 0 binary64) (cos.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)))
(fma.f64 #s(literal 0 binary64) (sin.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)) (neg.f64 (cos.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) y) x (PI.f64)))))
(fma.f64 #s(literal 0 binary64) (sin.f64 (.f64 (/.f64 #s(literal 1/2 binary64) y) x)) (cos.f64 (.f64 (/.f64 #s(literal 1/2 binary64) y) x)))
(fma.f64 #s(literal 0 binary64) (sin.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) y) x (PI.f64))) (neg.f64 (cos.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) y) x (PI.f64)))))
(fma.f64 #s(literal 0 binary64) (sin.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) y) x (PI.f64))) (cos.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)))
(fma.f64 #s(literal -1 binary64) (cos.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) y) x (PI.f64))) (.f64 #s(literal 0 binary64) (sin.f64 (.f64 (/.f64 #s(literal 1/2 binary64) y) x))))
(fma.f64 (sin.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)) #s(literal 0 binary64) (neg.f64 (cos.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) y) x (PI.f64)))))
(fma.f64 (sin.f64 (.f64 (/.f64 #s(literal 1/2 binary64) y) x)) #s(literal 0 binary64) (cos.f64 (.f64 (/.f64 #s(literal 1/2 binary64) y) x)))
(fma.f64 (cos.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) y) x (PI.f64))) #s(literal -1 binary64) (.f64 #s(literal 0 binary64) (sin.f64 (.f64 (/.f64 #s(literal 1/2 binary64) y) x))))
(fma.f64 (cos.f64 (.f64 (/.f64 #s(literal 1/2 binary64) y) x)) #s(literal 1 binary64) (.f64 #s(literal 0 binary64) (sin.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x))))
(fma.f64 #s(literal 1 binary64) (cos.f64 (.f64 (/.f64 #s(literal 1/2 binary64) y) x)) (.f64 #s(literal 0 binary64) (sin.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x))))
(fma.f64 (sin.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) y) x (PI.f64))) #s(literal 0 binary64) (neg.f64 (cos.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) y) x (PI.f64)))))
(fma.f64 (sin.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) y) x (PI.f64))) #s(literal 0 binary64) (cos.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)))
(sin.f64 (+.f64 (-.f64 (neg.f64 (PI.f64)) (fma.f64 (/.f64 #s(literal 1/2 binary64) y) x (PI.f64))) (/.f64 (PI.f64) #s(literal 2 binary64))))
(sin.f64 (+.f64 (neg.f64 (*.f64 (neg.f64 x) (/.f64 #s(literal 1/2 binary64) y))) (/.f64 (PI.f64) #s(literal 2 binary64))))
(sin.f64 (+.f64 (neg.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) y) x (*.f64 #s(literal 2 binary64) (PI.f64)))) (/.f64 (PI.f64) #s(literal 2 binary64))))
(sin.f64 (+.f64 (neg.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) y) x (+.f64 (PI.f64) (neg.f64 (PI.f64))))) (/.f64 (PI.f64) #s(literal 2 binary64))))
(sin.f64 (fma.f64 (neg.f64 x) (/.f64 #s(literal 1/2 binary64) y) (/.f64 (PI.f64) #s(literal 2 binary64))))
(sin.f64 (+.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) y) x (*.f64 #s(literal 2 binary64) (PI.f64))) (/.f64 (PI.f64) #s(literal 2 binary64))))
(sin.f64 (+.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) y) x (+.f64 (PI.f64) (neg.f64 (PI.f64)))) (/.f64 (PI.f64) #s(literal 2 binary64))))
(sin.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) y) x (/.f64 (PI.f64) #s(literal 2 binary64))))
(-.f64 (.f64 (cos.f64 (.f64 (/.f64 #s(literal 1/2 binary64) y) x)) (cos.f64 (+.f64 (PI.f64) (neg.f64 (PI.f64))))) (.f64 (sin.f64 (.f64 (/.f64 #s(literal 1/2 binary64) y) x)) (sin.f64 (+.f64 (PI.f64) (neg.f64 (PI.f64))))))
(-.f64 (/.f64 (pow.f64 (cos.f64 (.f64 (/.f64 #s(literal 1/2 binary64) y) x)) #s(literal 3 binary64)) (fma.f64 (cos.f64 (.f64 (/.f64 #s(literal 1/2 binary64) y) x)) (.f64 #s(literal 0 binary64) (sin.f64 (.f64 (/.f64 #s(literal 1/2 binary64) y) x))) (pow.f64 (cos.f64 (.f64 (/.f64 #s(literal 1/2 binary64) y) x)) #s(literal 2 binary64)))) (/.f64 (.f64 (pow.f64 (sin.f64 (.f64 (/.f64 #s(literal 1/2 binary64) y) x)) #s(literal 3 binary64)) #s(literal 0 binary64)) (fma.f64 (cos.f64 (.f64 (/.f64 #s(literal 1/2 binary64) y) x)) (.f64 #s(literal 0 binary64) (sin.f64 (.f64 (/.f64 #s(literal 1/2 binary64) y) x))) (pow.f64 (cos.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)) #s(literal 2 binary64)))))
(-.f64 (neg.f64 (cos.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) y) x (PI.f64)))) (.f64 #s(literal 0 binary64) (sin.f64 (.f64 (/.f64 #s(literal 1/2 binary64) y) x))))
(-.f64 (cos.f64 (.f64 (/.f64 #s(literal 1/2 binary64) y) x)) (/.f64 (.f64 (pow.f64 (sin.f64 (.f64 (/.f64 #s(literal 1/2 binary64) y) x)) #s(literal 2 binary64)) #s(literal 0 binary64)) (cos.f64 (.f64 (/.f64 #s(literal 1/2 binary64) y) x))))
(-.f64 (cos.f64 (.f64 (/.f64 #s(literal 1/2 binary64) y) x)) (.f64 #s(literal 0 binary64) (sin.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x))))
(-.f64 (.f64 #s(literal 0 binary64) (sin.f64 (.f64 (/.f64 #s(literal 1/2 binary64) y) x))) (*.f64 (neg.f64 (cos.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) y) x (PI.f64)))) #s(literal -1 binary64)))
(-.f64 (.f64 #s(literal 0 binary64) (sin.f64 (.f64 (/.f64 #s(literal 1/2 binary64) y) x))) (cos.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) y) x (PI.f64))))
(cos.f64 (neg.f64 (-.f64 (neg.f64 (PI.f64)) (fma.f64 (/.f64 #s(literal 1/2 binary64) y) x (PI.f64)))))
(cos.f64 (neg.f64 (neg.f64 (*.f64 (neg.f64 x) (/.f64 #s(literal 1/2 binary64) y)))))
(cos.f64 (neg.f64 (neg.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) y) x (*.f64 #s(literal 2 binary64) (PI.f64))))))
(cos.f64 (neg.f64 (neg.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) y) x (+.f64 (PI.f64) (neg.f64 (PI.f64)))))))
(cos.f64 (neg.f64 (*.f64 (neg.f64 x) (/.f64 #s(literal 1/2 binary64) y))))
(cos.f64 (neg.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) y) x (*.f64 #s(literal 2 binary64) (PI.f64)))))
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(+.f64 (*.f64 (sin.f64 (fma.f64 #s(literal -2 binary64) (PI.f64) (fma.f64 (/.f64 #s(literal 1/2 binary64) y) x (PI.f64)))) #s(literal 0 binary64)) (cos.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) y) x (PI.f64))))
(+.f64 (.f64 (sin.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) y) x (-.f64 (PI.f64) (.f64 #s(literal -2 binary64) (PI.f64))))) #s(literal 0 binary64)) (cos.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) y) x (PI.f64))))
(+.f64 (cos.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) y) x (PI.f64))) (.f64 #s(literal 0 binary64) (sin.f64 (.f64 (/.f64 #s(literal 1/2 binary64) y) x))))
(+.f64 (.f64 #s(literal 0 binary64) (sin.f64 (.f64 (/.f64 #s(literal 1/2 binary64) y) x))) (cos.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) y) x (PI.f64))))
(/.f64 (-.f64 (.f64 (PI.f64) (PI.f64)) (pow.f64 (.f64 (/.f64 #s(literal 1/2 binary64) y) x) #s(literal 2 binary64))) (-.f64 (PI.f64) (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (.f64 (/.f64 #s(literal 1/2 binary64) y) x) #s(literal 2 binary64)) (.f64 (PI.f64) (PI.f64)))) (neg.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) y) x (neg.f64 (PI.f64)))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (.f64 (/.f64 #s(literal 1/2 binary64) y) x) #s(literal 3 binary64)) (pow.f64 (PI.f64) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (PI.f64) (-.f64 (PI.f64) (.f64 (/.f64 #s(literal 1/2 binary64) y) x)) (pow.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x) #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 (.f64 (/.f64 #s(literal 1/2 binary64) y) x) #s(literal 2 binary64)) (.f64 (PI.f64) (PI.f64))) (fma.f64 (/.f64 #s(literal 1/2 binary64) y) x (neg.f64 (PI.f64))))
(/.f64 (+.f64 (pow.f64 (.f64 (/.f64 #s(literal 1/2 binary64) y) x) #s(literal 3 binary64)) (pow.f64 (PI.f64) #s(literal 3 binary64))) (fma.f64 (PI.f64) (PI.f64) (-.f64 (pow.f64 (.f64 (/.f64 #s(literal 1/2 binary64) y) x) #s(literal 2 binary64)) (.f64 (.f64 (/.f64 #s(literal 1/2 binary64) y) x) (PI.f64)))))
(/.f64 (+.f64 (pow.f64 (.f64 (/.f64 #s(literal 1/2 binary64) y) x) #s(literal 3 binary64)) (pow.f64 (PI.f64) #s(literal 3 binary64))) (fma.f64 (PI.f64) (-.f64 (PI.f64) (.f64 (/.f64 #s(literal 1/2 binary64) y) x)) (pow.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x) #s(literal 2 binary64))))
(fma.f64 (neg.f64 (neg.f64 (sqrt.f64 (PI.f64)))) (neg.f64 (neg.f64 (sqrt.f64 (PI.f64)))) (*.f64 (/.f64 #s(literal 1/2 binary64) y) x))
(fma.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 5 binary64))) (pow.f64 (PI.f64) #s(literal 1/6 binary64)) (*.f64 (/.f64 #s(literal 1/2 binary64) y) x))
(fma.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 4 binary64))) (cbrt.f64 (PI.f64)) (*.f64 (/.f64 #s(literal 1/2 binary64) y) x))
(fma.f64 (sqrt.f64 (pow.f64 (PI.f64) #s(literal 3/2 binary64))) (pow.f64 (PI.f64) #s(literal 1/4 binary64)) (*.f64 (/.f64 #s(literal 1/2 binary64) y) x))
(fma.f64 (sqrt.f64 (neg.f64 (PI.f64))) (sqrt.f64 (neg.f64 (PI.f64))) (*.f64 (/.f64 #s(literal 1/2 binary64) y) x))
(fma.f64 (cbrt.f64 (pow.f64 (PI.f64) #s(literal 5/2 binary64))) (cbrt.f64 (sqrt.f64 (PI.f64))) (*.f64 (/.f64 #s(literal 1/2 binary64) y) x))
(fma.f64 (cbrt.f64 (pow.f64 (.f64 (PI.f64) (cbrt.f64 (PI.f64))) #s(literal 2 binary64))) (cbrt.f64 (cbrt.f64 (PI.f64))) (.f64 (/.f64 #s(literal 1/2 binary64) y) x))
(fma.f64 (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3/2 binary64))) (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3/2 binary64))) (*.f64 (/.f64 #s(literal 1/2 binary64) y) x))
(fma.f64 (pow.f64 (pow.f64 (PI.f64) #s(literal 5/2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (sqrt.f64 (PI.f64))) (*.f64 (/.f64 #s(literal 1/2 binary64) y) x))
(fma.f64 (pow.f64 (pow.f64 (.f64 (PI.f64) (cbrt.f64 (PI.f64))) #s(literal 2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (cbrt.f64 (PI.f64))) (.f64 (/.f64 #s(literal 1/2 binary64) y) x))
(fma.f64 (pow.f64 (pow.f64 (PI.f64) #s(literal 3/2 binary64)) #s(literal 1/3 binary64)) (pow.f64 (pow.f64 (PI.f64) #s(literal 3/2 binary64)) #s(literal 1/3 binary64)) (*.f64 (/.f64 #s(literal 1/2 binary64) y) x))
(fma.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) #s(literal 3 binary64)) (pow.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) #s(literal 3 binary64)) (*.f64 (/.f64 #s(literal 1/2 binary64) y) x))
(fma.f64 (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 (cbrt.f64 (cbrt.f64 (PI.f64))) #s(literal 3 binary64)) (*.f64 (/.f64 #s(literal 1/2 binary64) y) x))
(fma.f64 (pow.f64 (neg.f64 (sqrt.f64 (PI.f64))) #s(literal 1 binary64)) (pow.f64 (neg.f64 (sqrt.f64 (PI.f64))) #s(literal 1 binary64)) (*.f64 (/.f64 #s(literal 1/2 binary64) y) x))
(fma.f64 (neg.f64 (sqrt.f64 (PI.f64))) (neg.f64 (sqrt.f64 (PI.f64))) (*.f64 (/.f64 #s(literal 1/2 binary64) y) x))
(fma.f64 (pow.f64 (PI.f64) #s(literal 1/4 binary64)) (sqrt.f64 (pow.f64 (PI.f64) #s(literal 3/2 binary64))) (*.f64 (/.f64 #s(literal 1/2 binary64) y) x))
(fma.f64 (sqrt.f64 (PI.f64)) (log.f64 (exp.f64 (sqrt.f64 (PI.f64)))) (*.f64 (/.f64 #s(literal 1/2 binary64) y) x))
(fma.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64)) (*.f64 (/.f64 #s(literal 1/2 binary64) y) x))
(fma.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (pow.f64 (pow.f64 (PI.f64) #s(literal 1/6 binary64)) #s(literal 2 binary64)) (*.f64 (/.f64 #s(literal 1/2 binary64) y) x))
(fma.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (cbrt.f64 (PI.f64)) (*.f64 (/.f64 #s(literal 1/2 binary64) y) x))
(fma.f64 (cbrt.f64 (PI.f64)) (sqrt.f64 (.f64 (cbrt.f64 (PI.f64)) (PI.f64))) (.f64 (/.f64 #s(literal 1/2 binary64) y) x))
(fma.f64 (cbrt.f64 (PI.f64)) (log.f64 (exp.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)))) (*.f64 (/.f64 #s(literal 1/2 binary64) y) x))
(fma.f64 (cbrt.f64 (PI.f64)) (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (*.f64 (/.f64 #s(literal 1/2 binary64) y) x))
(fma.f64 (/.f64 #s(literal 1/2 binary64) y) x (PI.f64))
(fma.f64 x (/.f64 #s(literal 1/2 binary64) y) (PI.f64))
(-.f64 (/.f64 (pow.f64 (.f64 (/.f64 #s(literal 1/2 binary64) y) x) #s(literal 2 binary64)) (fma.f64 (/.f64 #s(literal 1/2 binary64) y) x (neg.f64 (PI.f64)))) (/.f64 (.f64 (PI.f64) (PI.f64)) (fma.f64 (/.f64 #s(literal 1/2 binary64) y) x (neg.f64 (PI.f64)))))
(-.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x) (neg.f64 (PI.f64)))
(-.f64 (PI.f64) (*.f64 (neg.f64 x) (/.f64 #s(literal 1/2 binary64) y)))
(+.f64 (/.f64 (pow.f64 (.f64 (/.f64 #s(literal 1/2 binary64) y) x) #s(literal 3 binary64)) (fma.f64 (PI.f64) (-.f64 (PI.f64) (.f64 (/.f64 #s(literal 1/2 binary64) y) x)) (pow.f64 (.f64 (/.f64 #s(literal 1/2 binary64) y) x) #s(literal 2 binary64)))) (/.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) (fma.f64 (PI.f64) (-.f64 (PI.f64) (.f64 (/.f64 #s(literal 1/2 binary64) y) x)) (pow.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x) #s(literal 2 binary64)))))
(+.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x) (PI.f64))
(+.f64 (PI.f64) (*.f64 (/.f64 #s(literal 1/2 binary64) y) x))
(*.f64 (cos.f64 (/.f64 x y)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x y)))
(fma.f64 (sin.f64 (/.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64)) (fma.f64 (/.f64 x y) (-.f64 (/.f64 x y) (/.f64 (PI.f64) #s(literal 2 binary64))) (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64))))) (cos.f64 (/.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)) (fma.f64 (/.f64 x y) (-.f64 (/.f64 x y) (/.f64 (PI.f64) #s(literal 2 binary64))) (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64))))) (*.f64 (cos.f64 (/.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64)) (fma.f64 (/.f64 x y) (-.f64 (/.f64 x y) (/.f64 (PI.f64) #s(literal 2 binary64))) (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64))))) (sin.f64 (/.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)) (fma.f64 (/.f64 x y) (-.f64 (/.f64 x y) (/.f64 (PI.f64) #s(literal 2 binary64))) (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)))))))
(fma.f64 (sin.f64 (/.f64 (.f64 (PI.f64) y) (.f64 #s(literal 2 binary64) y))) (cos.f64 (/.f64 (.f64 #s(literal 2 binary64) x) (.f64 #s(literal 2 binary64) y))) (.f64 (cos.f64 (/.f64 (.f64 (PI.f64) y) (.f64 #s(literal 2 binary64) y))) (sin.f64 (/.f64 (.f64 #s(literal 2 binary64) x) (*.f64 #s(literal 2 binary64) y)))))
(fma.f64 (sin.f64 (/.f64 x y)) #s(literal 0 binary64) (cos.f64 (/.f64 x y)))
(fma.f64 (cos.f64 (/.f64 x y)) #s(literal 1 binary64) (*.f64 #s(literal 0 binary64) (sin.f64 (/.f64 x y))))
(fma.f64 (sin.f64 (/.f64 (neg.f64 x) y)) #s(literal 0 binary64) (cos.f64 (/.f64 x y)))
(fma.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x y)) (*.f64 #s(literal 0 binary64) (sin.f64 (/.f64 x y))))
(sin.f64 (+.f64 (/.f64 (neg.f64 x) y) (/.f64 (PI.f64) #s(literal 2 binary64))))
(sin.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 x y)))
(-.f64 (.f64 (sin.f64 (/.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 x y)))) (cos.f64 (/.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 x y))))) (.f64 (cos.f64 (/.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 x y)))) (sin.f64 (/.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 x y))))))
(cos.f64 (/.f64 x y))
(cos.f64 (/.f64 (neg.f64 x) y))
(+.f64 (*.f64 (sin.f64 (/.f64 (neg.f64 x) y)) #s(literal 0 binary64)) (cos.f64 (/.f64 x y)))
(+.f64 (.f64 (sin.f64 (/.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64)) (fma.f64 (/.f64 x y) (-.f64 (/.f64 x y) (/.f64 (PI.f64) #s(literal 2 binary64))) (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64))))) (cos.f64 (/.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)) (fma.f64 (/.f64 x y) (-.f64 (/.f64 x y) (/.f64 (PI.f64) #s(literal 2 binary64))) (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)))))) (.f64 (cos.f64 (/.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64)) (fma.f64 (/.f64 x y) (-.f64 (/.f64 x y) (/.f64 (PI.f64) #s(literal 2 binary64))) (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64))))) (sin.f64 (/.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)) (fma.f64 (/.f64 x y) (-.f64 (/.f64 x y) (/.f64 (PI.f64) #s(literal 2 binary64))) (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)))))))
(+.f64 (.f64 (sin.f64 (/.f64 (.f64 (PI.f64) y) (.f64 #s(literal 2 binary64) y))) (cos.f64 (/.f64 (.f64 #s(literal 2 binary64) x) (.f64 #s(literal 2 binary64) y)))) (.f64 (cos.f64 (/.f64 (.f64 (PI.f64) y) (.f64 #s(literal 2 binary64) y))) (sin.f64 (/.f64 (.f64 #s(literal 2 binary64) x) (.f64 #s(literal 2 binary64) y)))))
(+.f64 (*.f64 (sin.f64 (/.f64 x y)) #s(literal 0 binary64)) (cos.f64 (/.f64 x y)))
(+.f64 (cos.f64 (/.f64 x y)) (*.f64 #s(literal 0 binary64) (sin.f64 (/.f64 x y))))
(neg.f64 (sin.f64 (/.f64 x (*.f64 #s(literal -2 binary64) y))))
(sin.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64)))

eval160.0ms (1.6%)

Memory: 20.6MiB live, 219.1MiB allocated
Compiler: Compiled 35 155 to 4 297 computations (87.8% saved)

prune118.0ms (1.2%)

Memory

10.7MiB live, 164.9MiB allocated

Pruning

58 alts after pruning (51 fresh and 7 done)

	Pruned	Kept	Total
New	757	27	784
Fresh	4	24	28
Picked	4	1	5
Done	1	6	7
Total	766	58	824

Accuracy

65.7%

Counts

824 → 58

Alt Table

Click to see full alt table

Status	Accuracy	Program
	4.6%	(/.f64 (/.f64 (/.f64 (-.f64 (pow.f64 (.f64 #s(literal 0 binary64) (cos.f64 (/.f64 x y))) #s(literal 2 binary64)) (pow.f64 (.f64 (sin.f64 (/.f64 x y)) #s(literal 1 binary64)) #s(literal 2 binary64))) (cos.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 x y)))) (+.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x y)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
	6.2%	(/.f64 (/.f64 (/.f64 (-.f64 (+.f64 (cos.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (neg.f64 x) y))) (cos.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (neg.f64 x) y)))) (-.f64 (cos.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 x y))) (sin.f64 (/.f64 (neg.f64 x) y)))) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x y)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
	3.9%	(/.f64 (/.f64 (/.f64 (-.f64 (.f64 (pow.f64 (cos.f64 (/.f64 x y)) #s(literal 3 binary64)) #s(literal 0 binary64)) (.f64 (pow.f64 (sin.f64 (/.f64 x y)) #s(literal 3 binary64)) #s(literal 1 binary64))) (+.f64 (pow.f64 (.f64 #s(literal 0 binary64) (cos.f64 (/.f64 x y))) #s(literal 2 binary64)) (+.f64 (pow.f64 (.f64 (sin.f64 (/.f64 x y)) #s(literal 1 binary64)) #s(literal 2 binary64)) (.f64 (.f64 #s(literal 0 binary64) (cos.f64 (/.f64 x y))) (.f64 (sin.f64 (/.f64 x y)) #s(literal 1 binary64)))))) (+.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x y)))) (sin.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))))
	4.8%	(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x y))) (sin.f64 (/.f64 (neg.f64 x) y))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
	3.7%	(/.f64 (/.f64 (sin.f64 (/.f64 (neg.f64 x) y)) (+.f64 #s(literal 1 binary64) (sin.f64 (+.f64 (/.f64 (neg.f64 x) y) (/.f64 (PI.f64) #s(literal 2 binary64)))))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
	3.7%	(/.f64 (/.f64 (sin.f64 (/.f64 (neg.f64 x) y)) (+.f64 #s(literal 1 binary64) (sin.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 x y))))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
	7.1%	(/.f64 (/.f64 (sin.f64 (+.f64 (/.f64 x y) (PI.f64))) (+.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x y)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
	5.9%	(/.f64 (/.f64 (cos.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 x y))) (+.f64 #s(literal 1 binary64) (sin.f64 (+.f64 (/.f64 (neg.f64 x) y) (/.f64 (PI.f64) #s(literal 2 binary64)))))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
	5.9%	(/.f64 (/.f64 (cos.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 x y))) (+.f64 #s(literal 1 binary64) (sin.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 x y))))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
	6.1%	(/.f64 (/.f64 (cos.f64 #s(approx (+ (/ (PI) 2) (/ x y)) (/.f64 x y))) (+.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x y)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
	5.7%	(/.f64 (/.f64 (cos.f64 #s(approx (+ (/ (PI) 2) (/ x y)) (.f64 (fma.f64 (/.f64 (PI.f64) x) #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y)) x))) (+.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x y)))) (sin.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))))
	5.0%	(/.f64 (tan.f64 (/.f64 (/.f64 x y) #s(literal -2 binary64))) (cos.f64 (/.f64 (+.f64 (/.f64 (neg.f64 x) y) (PI.f64)) #s(literal 2 binary64))))
✓	47.8%	(/.f64 (tan.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))))
	4.1%	(/.f64 (tan.f64 (/.f64 x (.f64 #s(literal -2 binary64) y))) (sin.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))))
	40.6%	(/.f64 #s(approx (tan (/ x (* y 2))) (fma.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)) #s(literal 1/24 binary64) (.f64 (/.f64 x y) #s(literal 1/2 binary64)))) #s(approx (sin (/ x ( y 2))) (.f64 (/.f64 (fma.f64 (/.f64 (.f64 x x) y) (/.f64 #s(literal -1/48 binary64) y) #s(literal 1/2 binary64)) y) x)))
	47.4%	(/.f64 #s(approx (tan (/ x (* y 2))) (/.f64 (sin.f64 (.f64 (/.f64 #s(literal 1/2 binary64) y) x)) (cos.f64 (.f64 (/.f64 #s(literal 1/2 binary64) y) x)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
✓	6.6%	#s(approx (/ (/ (sin (/ (neg x) y)) (+ 1 (cos (/ x y)))) (sin (/ x (* y 2)))) #s(literal -1 binary64))
✓	51.1%	#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (fma.f64 (/.f64 #s(literal 1/8 binary64) y) (/.f64 (*.f64 x x) y) #s(literal 1 binary64)))
	55.7%	#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (pow.f64 (pow.f64 (neg.f64 (cos.f64 (fma.f64 x (/.f64 #s(literal 1/2 binary64) y) (PI.f64)))) #s(literal -1/2 binary64)) #s(literal 2 binary64)))
	58.9%	#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (+.f64 (sin.f64 (-.f64 (neg.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) y) x (/.f64 (PI.f64) #s(literal 2 binary64)))) (.f64 #s(literal -2 binary64) (PI.f64)))) (sin.f64 (+.f64 (neg.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) y) x (/.f64 (PI.f64) #s(literal 2 binary64)))) (.f64 #s(literal -2 binary64) (PI.f64))))) #s(literal 2 binary64)) #s(literal -1 binary64) (*.f64 (sin.f64 (fma.f64 x (/.f64 #s(literal 1/2 binary64) y) (PI.f64))) (sin.f64 (neg.f64 (PI.f64)))))))
	58.4%	#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (+.f64 (cos.f64 (+.f64 (neg.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) y) x (PI.f64))) (.f64 #s(literal -2 binary64) (PI.f64)))) (cos.f64 (-.f64 (neg.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) y) x (PI.f64))) (.f64 #s(literal -2 binary64) (PI.f64))))) #s(literal 2 binary64)) #s(literal -1 binary64) (*.f64 (sin.f64 (fma.f64 x (/.f64 #s(literal 1/2 binary64) y) (PI.f64))) (sin.f64 (neg.f64 (PI.f64)))))))
	58.4%	#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 (.f64 (cos.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) y) x (PI.f64))) (cos.f64 (.f64 #s(literal -2 binary64) (neg.f64 (PI.f64))))) (.f64 (sin.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) y) x (PI.f64))) (sin.f64 (.f64 #s(literal -2 binary64) (neg.f64 (PI.f64)))))) #s(literal -1 binary64) (*.f64 (sin.f64 (fma.f64 x (/.f64 #s(literal 1/2 binary64) y) (PI.f64))) (sin.f64 (neg.f64 (PI.f64)))))))
	58.5%	#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (fma.f64 (sin.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) y) x (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)))) #s(literal -1 binary64) (*.f64 (sin.f64 (fma.f64 x (/.f64 #s(literal 1/2 binary64) y) (PI.f64))) (sin.f64 (neg.f64 (PI.f64)))))))
	58.4%	#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (fma.f64 (sin.f64 (fma.f64 x (/.f64 #s(literal 1/2 binary64) y) (PI.f64))) (cos.f64 (+.f64 (PI.f64) (/.f64 (PI.f64) #s(literal 2 binary64)))) (*.f64 (cos.f64 (fma.f64 x (/.f64 #s(literal 1/2 binary64) y) (PI.f64))) #s(literal -1 binary64)))))
	58.9%	#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (fma.f64 (sin.f64 (neg.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) y) x (/.f64 (PI.f64) #s(literal 2 binary64))))) #s(literal -1 binary64) (*.f64 (sin.f64 (fma.f64 x (/.f64 #s(literal 1/2 binary64) y) (PI.f64))) (sin.f64 (neg.f64 (PI.f64)))))))
	59.0%	#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (fma.f64 (sin.f64 (neg.f64 (+.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) y) x (.f64 #s(literal 2 binary64) (PI.f64))) (/.f64 (PI.f64) #s(literal 2 binary64))))) #s(literal -1 binary64) (.f64 (sin.f64 (fma.f64 x (/.f64 #s(literal 1/2 binary64) y) (PI.f64))) (sin.f64 (neg.f64 (PI.f64)))))))
	58.4%	#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) y) x (neg.f64 (PI.f64)))) #s(literal -1 binary64) (*.f64 (sin.f64 (fma.f64 x (/.f64 #s(literal 1/2 binary64) y) (PI.f64))) (sin.f64 (neg.f64 (PI.f64)))))))
	58.4%	#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 (fma.f64 x (/.f64 #s(literal 1/2 binary64) y) (PI.f64))) #s(literal -1 binary64) (.f64 (sin.f64 (.f64 (neg.f64 x) (/.f64 #s(literal 1/2 binary64) y))) (sin.f64 (neg.f64 (PI.f64)))))))
	58.4%	#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 (fma.f64 x (/.f64 #s(literal 1/2 binary64) y) (PI.f64))) #s(literal -1 binary64) (.f64 (sin.f64 #s(approx (+ ( x (/ 1/2 y)) (PI)) (fma.f64 #s(literal 1/2 binary64) (/.f64 x y) (PI.f64)))) (sin.f64 (neg.f64 (PI.f64)))))))
	57.7%	#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(approx (cos (+ (* x (/ 1/2 y)) (PI))) #s(literal -1 binary64)) #s(literal -1 binary64) (*.f64 (sin.f64 (fma.f64 x (/.f64 #s(literal 1/2 binary64) y) (PI.f64))) (sin.f64 (neg.f64 (PI.f64)))))))
	59.2%	#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 (cos.f64 (.f64 x (/.f64 #s(literal 1/2 binary64) y))) #s(literal 1 binary64)) (.f64 (sin.f64 (.f64 (neg.f64 x) (/.f64 #s(literal 1/2 binary64) y))) (sin.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (PI.f64))))))))
	59.2%	#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 (cos.f64 (.f64 x (/.f64 #s(literal 1/2 binary64) y))) #s(literal 1 binary64)) (.f64 (sin.f64 #s(approx (+ ( x (/ 1/2 y)) (PI)) (fma.f64 #s(literal 1/2 binary64) (/.f64 x y) (PI.f64)))) (sin.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (PI.f64))))))))
	59.2%	#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 (cos.f64 (.f64 x (/.f64 #s(literal 1/2 binary64) y))) #s(literal 1 binary64)) (.f64 (cos.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) y) x (/.f64 (PI.f64) #s(literal 2 binary64)))) (sin.f64 (neg.f64 (.f64 #s(literal 2 binary64) (PI.f64))))))))
	59.1%	#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(approx (* (cos (* x (/ 1/2 y))) 1) (cos.f64 (.f64 #s(literal -1/2 binary64) (/.f64 x y)))) (.f64 (sin.f64 (fma.f64 x (/.f64 #s(literal 1/2 binary64) y) (PI.f64))) (sin.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (PI.f64))))))))
	58.9%	#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (sin.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) y) x (/.f64 (PI.f64) #s(literal 2 binary64))))))
	58.5%	#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (sin.f64 (fma.f64 (neg.f64 x) (/.f64 #s(literal 1/2 binary64) y) (/.f64 (PI.f64) #s(literal 2 binary64))))))
	59.0%	#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (sin.f64 (fma.f64 x (/.f64 #s(literal 1/2 binary64) y) (fma.f64 #s(literal 2 binary64) (PI.f64) (/.f64 (PI.f64) #s(literal 2 binary64)))))))
	57.4%	#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (sin.f64 (+.f64 (/.f64 (-.f64 (pow.f64 (.f64 (/.f64 x y) #s(literal -1/2 binary64)) #s(literal 2 binary64)) (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64))) (-.f64 (.f64 (neg.f64 x) (/.f64 #s(literal 1/2 binary64) y)) (/.f64 (PI.f64) #s(literal -2 binary64)))) (PI.f64)))))
	56.9%	#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (sin.f64 (+.f64 (neg.f64 (/.f64 (-.f64 (.f64 (pow.f64 (.f64 (/.f64 x y) #s(literal -1/2 binary64)) #s(literal 2 binary64)) (-.f64 (.f64 x (/.f64 #s(literal 1/2 binary64) y)) (/.f64 (PI.f64) #s(literal 2 binary64)))) (.f64 (-.f64 (.f64 x (/.f64 #s(literal 1/2 binary64) y)) (/.f64 (PI.f64) #s(literal 2 binary64))) (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)))) (.f64 (-.f64 (.f64 x (/.f64 #s(literal 1/2 binary64) y)) (/.f64 (PI.f64) #s(literal 2 binary64))) (-.f64 (.f64 x (/.f64 #s(literal 1/2 binary64) y)) (/.f64 (PI.f64) #s(literal 2 binary64)))))) (PI.f64)))))
	59.1%	#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (sin.f64 (+.f64 #s(approx (neg (+ (* (/ 1/2 y) x) (/ (PI) 2))) (*.f64 #s(literal -1/2 binary64) (+.f64 (/.f64 x y) (PI.f64)))) (PI.f64)))))
	57.8%	#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 (fma.f64 (+.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) (pow.f64 (PI.f64) #s(literal 3 binary64))) y (.f64 (fma.f64 (PI.f64) (PI.f64) (-.f64 (.f64 (PI.f64) (PI.f64)) (.f64 (PI.f64) (PI.f64)))) (.f64 x #s(literal 1/2 binary64)))) (.f64 (fma.f64 (PI.f64) (PI.f64) (-.f64 (.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) (PI.f64)))) y)))))
	4.8%	#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 (-.f64 (.f64 (pow.f64 (fma.f64 x (/.f64 #s(literal 1/2 binary64) y) (PI.f64)) #s(literal 2 binary64)) (-.f64 (fma.f64 x (/.f64 #s(literal 1/2 binary64) y) (PI.f64)) (PI.f64))) (.f64 (-.f64 (fma.f64 x (/.f64 #s(literal 1/2 binary64) y) (PI.f64)) (PI.f64)) (.f64 (PI.f64) (PI.f64)))) (.f64 (-.f64 (fma.f64 x (/.f64 #s(literal 1/2 binary64) y) (PI.f64)) (PI.f64)) (-.f64 (fma.f64 x (/.f64 #s(literal 1/2 binary64) y) (PI.f64)) (PI.f64)))))))
	59.1%	#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) x) y))))
✓	59.2%	#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) y) x (PI.f64)) (PI.f64)))))
	59.1%	#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 x y) (PI.f64)) (PI.f64)))))
	56.0%	#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 (/.f64 (fma.f64 (pow.f64 (.f64 (/.f64 x y) #s(literal -1/2 binary64)) #s(literal 3 binary64)) (fma.f64 (PI.f64) (fma.f64 (/.f64 x y) #s(literal -1/2 binary64) (PI.f64)) (pow.f64 (.f64 (/.f64 x y) #s(literal -1/2 binary64)) #s(literal 2 binary64))) (.f64 (fma.f64 (PI.f64) (fma.f64 (/.f64 x y) #s(literal -1/2 binary64) (PI.f64)) (pow.f64 (.f64 (/.f64 x y) #s(literal -1/2 binary64)) #s(literal 2 binary64))) (pow.f64 (PI.f64) #s(literal 3 binary64)))) (pow.f64 (fma.f64 (PI.f64) (fma.f64 (/.f64 x y) #s(literal -1/2 binary64) (PI.f64)) (pow.f64 (*.f64 (/.f64 x y) #s(literal -1/2 binary64)) #s(literal 2 binary64))) #s(literal 2 binary64))) (PI.f64)))))
✓	59.2%	#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x))))
	51.5%	#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) #s(approx (cos (+ (+ (* (/ 1/2 y) x) (PI)) (PI))) (fma.f64 (fma.f64 (-.f64 (/.f64 #s(literal -1/8 binary64) (*.f64 y y)) #s(literal 0 binary64)) x #s(literal 0 binary64)) x #s(literal 1 binary64)))))
	59.1%	#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal -1 binary64) (fma.f64 (cos.f64 (.f64 (/.f64 x y) #s(literal -1/2 binary64))) #s(literal -1 binary64) (.f64 (sin.f64 (*.f64 (/.f64 x y) #s(literal -1/2 binary64))) (sin.f64 (neg.f64 (PI.f64)))))))
	58.7%	#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal -1 binary64) (/.f64 (-.f64 (pow.f64 (.f64 #s(literal 0 binary64) (sin.f64 (.f64 #s(literal -1/2 binary64) (/.f64 x y)))) #s(literal 2 binary64)) (pow.f64 (.f64 #s(literal -1 binary64) (cos.f64 (.f64 #s(literal -1/2 binary64) (/.f64 x y)))) #s(literal 2 binary64))) (sin.f64 (-.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y)) (PI.f64)) (/.f64 (PI.f64) #s(literal 2 binary64)))))))
	57.6%	#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal -1 binary64) (sin.f64 (/.f64 (fma.f64 (+.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (PI.f64) #s(literal 3 binary64))) y (.f64 (fma.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)) (.f64 (PI.f64) (PI.f64))) (.f64 #s(literal -1/2 binary64) x))) (.f64 (fma.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)) (*.f64 (PI.f64) (PI.f64))) y)))))
	56.4%	#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal -1 binary64) (sin.f64 (/.f64 (fma.f64 #s(literal -1/8 binary64) (pow.f64 (/.f64 x y) #s(literal 3 binary64)) (pow.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)) #s(literal 3 binary64))) (fma.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64)) (.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)) (-.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)) (.f64 #s(literal -1/2 binary64) (/.f64 x y)))))))))
	57.3%	#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal -1 binary64) (sin.f64 (/.f64 (-.f64 (pow.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 x y) (PI.f64)) #s(literal 2 binary64)) (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64))) (-.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 x y) (PI.f64)) (/.f64 (PI.f64) #s(literal 2 binary64)))))))
	6.4%	#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal -1 binary64) (sin.f64 #s(approx (+ (* (/ x y) -1/2) (+ (PI) (/ (PI) 2))) (*.f64 #s(literal -1/2 binary64) (/.f64 x y))))))
	58.4%	#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal -1 binary64) (cos.f64 (fma.f64 x (/.f64 #s(literal 1/2 binary64) y) (PI.f64)))))
✓	58.5%	#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal -1 binary64) (cos.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 x y) (PI.f64)))))
	58.4%	#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 (+.f64 (fma.f64 (/.f64 x y) #s(literal -1/2 binary64) (PI.f64)) (PI.f64)) (PI.f64)))))
✓	58.9%	#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(literal 1 binary64))

Compiler

Compiled 4 777 to 1 809 computations (62.1% saved)

regimes158.0ms (1.5%)

Memory

-13.5MiB live, 190.6MiB allocated

Counts

78 → 2

Calls

Call 1

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

Outputs

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

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

Calls

5 calls:

30.0ms	(*.f64 y #s(literal 2 binary64))
27.0ms	y
26.0ms	(/.f64 (tan.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))))
24.0ms	x
18.0ms	(/.f64 x (*.f64 y #s(literal 2 binary64)))

Results

Accuracy	Segments	Branch
59.2%	1	`x`
59.2%	1	`y`
59.2%	1	`(/.f64 (tan.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))))`
60.8%	2	`(/.f64 x (*.f64 y #s(literal 2 binary64)))`
59.2%	1	`(*.f64 y #s(literal 2 binary64))`

Compiler

Compiled 23 to 21 computations (8.7% saved)

regimes5.0ms (0%)

Memory

10.8MiB live, 10.8MiB allocated

Counts

13 → 2

Calls

Call 1

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

Outputs

#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.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:

4.0ms

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

Results

Accuracy	Segments	Branch
60.8%	2	`(/.f64 x (*.f64 y #s(literal 2 binary64)))`

Compiler

Compiled 5 to 5 computations (0% saved)

regimes16.0ms (0.2%)

Memory

-1.0MiB live, 36.4MiB allocated

Counts

8 → 1

Calls

Call 1

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

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

Calls

5 calls:

4.0ms	(/.f64 x (*.f64 y #s(literal 2 binary64)))
3.0ms	x
3.0ms	(*.f64 y #s(literal 2 binary64))
3.0ms	y
3.0ms	(/.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
58.9%	1	`x`
58.9%	1	`y`
58.9%	1	`(/.f64 (tan.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))))`
58.9%	1	`(*.f64 y #s(literal 2 binary64))`
58.9%	1	`(/.f64 x (*.f64 y #s(literal 2 binary64)))`

Compiler

Compiled 23 to 21 computations (8.7% saved)

regimes8.0ms (0.1%)

Memory

-7.7MiB live, 27.3MiB allocated

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

Inputs
#s(literal 0 binary64)

Outputs
#s(literal 0 binary64)

Calls

5 calls:

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

Results

Accuracy	Segments	Branch
3.1%	1	`y`
3.1%	1	`(/.f64 (tan.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))))`
3.1%	1	`(*.f64 y #s(literal 2 binary64))`
3.1%	1	`x`
3.1%	1	`(/.f64 x (*.f64 y #s(literal 2 binary64)))`

Compiler

Compiled 23 to 21 computations (8.7% saved)

bsearch1.0ms (0%)

Memory

2.2MiB live, 2.2MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	6.652287047350855e+163	5.642512603386381e+164

Compiler

Compiled 12 to 13 computations (-8.3% saved)

bsearch0.0ms (0%)

Memory

1.0MiB live, 1.0MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	6.652287047350855e+163	5.642512603386381e+164

Compiler

Compiled 12 to 13 computations (-8.3% saved)

simplify67.0ms (0.7%)

Memory

-19.3MiB live, 104.4MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	36	109
1	49	109
2	65	109
3	89	109
4	120	109
5	177	109
6	281	109
7	601	109
8	1362	109
9	3088	109
10	6426	109

Stop Event

1×	node limit

Calls

Call 1

Inputs
(if (<=.f64 (/.f64 x (.f64 y #s(literal 2 binary64))) #s(literal 100000000000000000178334994858791836514563642560301392710701527770129502847789953562046870799284296099876897036220978235643807646031628623453753183252563447406133248 binary64)) #s(approx (/ (tan (/ x ( y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) y) x (PI.f64)) (PI.f64))))) #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 100000000000000000178334994858791836514563642560301392710701527770129502847789953562046870799284296099876897036220978235643807646031628623453753183252563447406133248 binary64)) #s(approx (/ (tan (/ x ( y 2))) (sin (/ x (* y 2)))) (/.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(literal 0 binary64)

Outputs
(if (<=.f64 (/.f64 x (.f64 y #s(literal 2 binary64))) #s(literal 100000000000000000178334994858791836514563642560301392710701527770129502847789953562046870799284296099876897036220978235643807646031628623453753183252563447406133248 binary64)) #s(approx (/ (tan (/ x ( y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) y) x (PI.f64)) (PI.f64))))) #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 100000000000000000178334994858791836514563642560301392710701527770129502847789953562046870799284296099876897036220978235643807646031628623453753183252563447406133248 binary64)) #s(approx (/ (tan (/ x ( y 2))) (sin (/ x (* y 2)))) (pow.f64 (cos.f64 (+.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) y) x (PI.f64)) (PI.f64))) #s(literal -1 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 100000000000000000178334994858791836514563642560301392710701527770129502847789953562046870799284296099876897036220978235643807646031628623453753183252563447406133248 binary64)) #s(approx (/ (tan (/ x ( y 2))) (sin (/ x (* y 2)))) (/.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 100000000000000000178334994858791836514563642560301392710701527770129502847789953562046870799284296099876897036220978235643807646031628623453753183252563447406133248 binary64)) #s(approx (/ (tan (/ x ( y 2))) (sin (/ x (* y 2)))) (pow.f64 (cos.f64 (.f64 (/.f64 #s(literal 1/2 binary64) y) x)) #s(literal -1 binary64))) #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(literal 0 binary64)

soundness2.1s (20.7%)

Memory

35.2MiB live, 549.0MiB allocated

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	316	1576
1	1006	1536
2	4033	1498
0	8680	1395
0	8	33
0	13	17
1	29	17
2	118	17
3	824	7
0	10401	7
0	37	193
0	62	193
1	174	193
2	943	193
0	8445	193
0	491	3227
1	1540	3093
2	6130	3035
0	8235	2843

Stop Event

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

Compiler

Compiled 202 to 103 computations (49% saved)

preprocess113.0ms (1.1%)

Memory: -26.4MiB live, 99.4MiB allocated
Compiler: Compiled 500 to 242 computations (51.6% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze172.0ms (1.7%)

sample2.0s (19.4%)

explain448.0ms (4.4%)

preprocess157.0ms (1.5%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify128.0ms (1.3%)

localize65.0ms (0.6%)

series31.0ms (0.3%)

simplify193.0ms (1.9%)

rewrite128.0ms (1.3%)

eval8.0ms (0.1%)

prune7.0ms (0.1%)

simplify110.0ms (1.1%)

localize143.0ms (1.4%)

series47.0ms (0.5%)

simplify239.0ms (2.3%)

rewrite138.0ms (1.3%)

eval54.0ms (0.5%)

prune59.0ms (0.6%)

simplify312.0ms (3.1%)

localize368.0ms (3.6%)

series84.0ms (0.8%)

simplify347.0ms (3.4%)

rewrite247.0ms (2.4%)

eval101.0ms (1%)

prune188.0ms (1.8%)

simplify264.0ms (2.6%)

localize957.0ms (9.4%)

series44.0ms (0.4%)

simplify195.0ms (1.9%)

rewrite235.0ms (2.3%)

eval160.0ms (1.6%)

prune118.0ms (1.2%)

regimes158.0ms (1.5%)

regimes5.0ms (0%)

regimes16.0ms (0.2%)

regimes8.0ms (0.1%)

bsearch1.0ms (0%)

bsearch0.0ms (0%)

simplify67.0ms (0.7%)

soundness2.1s (20.7%)

preprocess113.0ms (1.1%)

end0.0ms (0%)

Profiling