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

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated

analyze371.0ms (3.3%)

Memory

-24.5MiB live, 318.9MiB 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)

sample2.5s (22.5%)

Memory

50.8MiB live, 2 307.1MiB allocated

Samples

1.5s	4 017×	1	valid
708.0ms	4 239×	0	valid

Precisions

Click to see histograms. Total time spent on operations: 1.3s

ival-sin: 386.0ms (29.9% of total)

ival-div: 371.0ms (28.7% of total)

ival-tan: 220.0ms (17% of total)

adjust: 198.0ms (15.3% of total)

ival-mult: 101.0ms (7.8% of total)

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

exact: 5.0ms (0.4% of total)

ival-assert: 3.0ms (0.2% of total)

Bogosity

explain160.0ms (1.4%)

Memory

32.9MiB live, 218.0MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
133	-	-	`(tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))`
133	-	-	`(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)))))`
0	-	-	`y`
0	-	-	`#s(literal 2 binary64)`
0	-	-	`(/.f64 x (*.f64 y #s(literal 2 binary64)))`
0	-	-	`x`
0	-	-	`(*.f64 y #s(literal 2 binary64))`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`sin.f64`	`(sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))`	sensitivity	94	0
`tan.f64`	`(tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))`	sensitivity	94	0
`sin.f64`	`(sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))`	oflow-rescue	39	0
↳	`(/.f64 x (*.f64 y #s(literal 2 binary64)))`	overflow	39
`tan.f64`	`(tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))`	oflow-rescue	39	0
↳	`(/.f64 x (*.f64 y #s(literal 2 binary64)))`	overflow	39
`/.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

Confusion

	Predicted +	Predicted -
+	161	0
-	0	95

Precision

1.0

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	161	0	0
-	0	0	95

Precision?

1.0

Recall?

1.0

Freqs

test

number	freq
0	95
1	28
2	133

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

71.0ms	262×	1	valid
22.0ms	250×	0	valid

Compiler

Compiled 89 to 28 computations (68.5% saved)

Precisions

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

ival-sin: 22.0ms (37.8% of total)

ival-tan: 12.0ms (20.6% of total)

ival-div: 11.0ms (18.9% of total)

ival-mult: 10.0ms (17.2% of total)

adjust: 3.0ms (5.2% of total)

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

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

exact: 0.0ms (0% of total)

preprocess176.0ms (1.6%)

Memory

-8.3MiB live, 183.4MiB 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

0.9MiB live, 0.9MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	42.0%	(/.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)

simplify214.0ms (1.9%)

Memory

-28.1MiB live, 186.8MiB 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)))

localize57.0ms (0.5%)

Memory

18.2MiB live, 64.5MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.0	(*.f64 y #s(literal 2 binary64))
accuracy	6.9571082794231085	(/.f64 (tan.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))))
accuracy	30.55009356676178	(tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))
accuracy	30.55858757656442	(sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))

Samples

24.0ms	131×	1	valid
8.0ms	125×	0	valid

Compiler

Compiled 38 to 10 computations (73.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 22.0ms

ival-tan: 7.0ms (31.3% of total)

ival-sin: 6.0ms (26.8% of total)

ival-div: 5.0ms (22.4% of total)

adjust: 2.0ms (8.9% of total)

ival-mult: 2.0ms (8.9% of total)

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

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

exact: 0.0ms (0% of total)

series32.0ms (0.3%)

Memory

-6.1MiB live, 41.8MiB 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
16.0ms	x	@	-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	@	inf	((/ (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))))
3.0ms	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))))

simplify213.0ms (1.9%)

Memory

-5.1MiB live, 264.1MiB 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))

rewrite122.0ms (1.1%)

Memory

11.0MiB live, 244.8MiB 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)

eval9.0ms (0.1%)

Memory: 23.0MiB live, 23.0MiB allocated
Compiler: Compiled 2 105 to 381 computations (81.9% saved)

prune63.0ms (0.6%)

Memory

-60.5MiB live, 59.6MiB 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

58.4%

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)))))
✓	42.0%	(/.f64 (tan.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))))
▶	35.9%	(/.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)))
	41.9%	(/.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))))
	41.8%	(/.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)))))
	37.5%	(/.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)))))
	47.0%	#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)))
▶	52.6%	#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))))
▶	53.4%	#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)

simplify149.0ms (1.3%)

Memory

30.8MiB live, 165.5MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 13 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 #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))))
cost-diff	0	#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(literal 1 binary64))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	35	225
0	57	225
1	92	225
2	182	225
3	485	225
4	1546	222
5	4172	222
6	7409	222
0	8155	219

Stop Event

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

Calls

Call 1

Inputs
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(literal 1 binary64))
#s(literal 1 binary64)
#s(literal 0 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))))
(/.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
(/.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)))) #s(literal 1 binary64))
#s(literal 1 binary64)
#s(literal 0 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)))) (/.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
(/.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)

localize192.0ms (1.7%)

Memory

8.8MiB live, 290.9MiB allocated

Localize:

Found 13 expressions of interest:

New	Metric	Score
accuracy	0.0078125	(/.f64 (/.f64 x y) #s(literal -2 binary64))
accuracy	7.130309456472062	(/.f64 (tan.f64 (/.f64 (/.f64 x y) #s(literal -2 binary64))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
accuracy	30.55858757656442	(sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))
accuracy	30.618155596447203	(tan.f64 (/.f64 (/.f64 x y) #s(literal -2 binary64)))
accuracy	5.893627182198034	(/.f64 (*.f64 x x) y)
accuracy	6.9571082794231085	(/.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	30.55009356676178	(tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))
accuracy	32.790341433889154	#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	#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	0.12890625	(/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)))
accuracy	0.14453125	(*.f64 (/.f64 #s(literal 1/2 binary64) y) x)
accuracy	29.944455817681483	(cos.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x))
accuracy	29.854909756567842	#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(literal 1 binary64))

Samples

123.0ms	131×	1	valid
30.0ms	125×	0	valid

Compiler

Compiled 189 to 30 computations (84.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 110.0ms

ival-div: 61.0ms (55.3% of total)

ival-tan: 13.0ms (11.8% of total)

ival-mult: 11.0ms (10% of total)

ival-cos: 6.0ms (5.4% of total)

const: 6.0ms (5.4% of total)

ival-sin: 6.0ms (5.4% of total)

adjust: 4.0ms (3.6% of total)

ival-add: 2.0ms (1.8% of total)

exact: 1.0ms (0.9% of total)

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

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

series43.0ms (0.4%)

Memory

3.4MiB live, 101.1MiB allocated

Counts

16 → 68

Calls

Call 1

Inputs
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(literal 1 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))))
(/.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)
(.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)
#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 x x) y)
(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))
(* 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)
(* 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))))
(/ (pow x 2) y)
(/ 1 (cos (* 1/2 (/ x y))))
(cos (* 1/2 (/ x y)))
(* -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))))))
(/ (+ (* -1/48 (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
12.0ms	y	@	inf	((/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/ 1 (cos (* (/ 1/2 y) x))) (cos (* (/ 1/2 y) x)) (* (/ 1/2 y) x) (* (/ (+ (* (/ (* 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) (sin (/ x (* y 2))) (/ (* x x) y) (sin (/ x (* y 2))))
8.0ms	x	@	0	((/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/ 1 (cos (* (/ 1/2 y) x))) (cos (* (/ 1/2 y) x)) (* (/ 1/2 y) x) (* (/ (+ (* (/ (* 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) (sin (/ x (* y 2))) (/ (* x x) y) (sin (/ x (* y 2))))
7.0ms	x	@	-inf	((/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/ 1 (cos (* (/ 1/2 y) x))) (cos (* (/ 1/2 y) x)) (* (/ 1/2 y) x) (* (/ (+ (* (/ (* 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) (sin (/ x (* y 2))) (/ (* x x) y) (sin (/ x (* y 2))))
6.0ms	y	@	-inf	((/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/ 1 (cos (* (/ 1/2 y) x))) (cos (* (/ 1/2 y) x)) (* (/ 1/2 y) x) (* (/ (+ (* (/ (* 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) (sin (/ x (* y 2))) (/ (* x x) y) (sin (/ x (* y 2))))
4.0ms	x	@	inf	((/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/ 1 (cos (* (/ 1/2 y) x))) (cos (* (/ 1/2 y) x)) (* (/ 1/2 y) x) (* (/ (+ (* (/ (* 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) (sin (/ x (* y 2))) (/ (* x x) y) (sin (/ x (* y 2))))

simplify265.0ms (2.4%)

Memory

-19.5MiB live, 311.6MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	484	3190
1	1523	3058
2	6082	3000
0	8194	2810

Stop Event

1×	iter limit
1×	node limit

Counts

68 → 68

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

rewrite178.0ms (1.6%)

Memory

-8.1MiB live, 286.5MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	34	168
0	56	168
1	146	168
2	704	168
3	7818	168
0	8028	168

Stop Event

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

Counts

16 → 220

Calls

Call 1

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

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

eval184.0ms (1.6%)

Memory: -1.9MiB live, 143.9MiB allocated
Compiler: Compiled 10 684 to 1 366 computations (87.2% saved)

prune17.0ms (0.1%)

Memory

45.5MiB live, 45.5MiB allocated

Pruning

19 alts after pruning (16 fresh and 3 done)

	Pruned	Kept	Total
New	279	15	294
Fresh	3	1	4
Picked	3	2	5
Done	0	1	1
Total	285	19	304

Accuracy

60.5%

Counts

304 → 19

Alt Table

Click to see full alt table

Status	Accuracy	Program
	4.1%	(/.f64 (/.f64 (sin.f64 (/.f64 (neg.f64 x) y)) (+.f64 (cos.f64 (/.f64 x y)) #s(literal 1 binary64))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
	4.6%	(/.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)))))
	4.1%	(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x y))) (*.f64 (sin.f64 (/.f64 x y)) (sin.f64 (/.f64 (/.f64 x 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))))
✓	42.0%	(/.f64 (tan.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))))
	4.1%	(/.f64 (sin.f64 (/.f64 x y)) (*.f64 (+.f64 (cos.f64 (/.f64 x y)) #s(literal 1 binary64)) (sin.f64 (/.f64 (/.f64 x y) #s(literal -2 binary64)))))
	34.9%	(/.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)))
▶	41.8%	(/.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)))))
▶	7.2%	#s(approx (/ (tan (/ (/ x y) -2)) (sin (/ x (* y 2)))) #s(literal -1 binary64))
	48.7%	#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (fma.f64 (/.f64 (*.f64 #s(literal 1/8 binary64) x) y) (/.f64 x y) #s(literal 1 binary64)))
▶	50.1%	#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (pow.f64 (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y))) #s(literal -1/2 binary64)) #s(literal 2 binary64)))
	52.1%	#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) #s(literal 2 binary64))))))
▶	53.0%	#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))))))
	53.0%	#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) x) y))))
✓	52.6%	#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))))
	49.3%	#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)))))
▶	52.2%	#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)))))
✓	53.4%	#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(literal 1 binary64))

Compiler

Compiled 810 to 547 computations (32.5% saved)

simplify381.0ms (3.4%)

Memory

-38.1MiB live, 244.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 17 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	44	292
0	68	277
1	101	277
2	187	277
3	339	277
4	540	277
5	722	277
6	1237	277
7	2625	277
8	6173	277
0	8155	277

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

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

localize236.0ms (2.1%)

Memory

12.9MiB live, 199.6MiB allocated

Localize:

Found 17 expressions of interest:

New	Metric	Score
accuracy	6.8477332794231085	(/.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)))))
accuracy	14.525358269824782	(cos.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x))
accuracy	14.68824698609664	(sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))
accuracy	14.68824698609664	(sin.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x))
accuracy	0.0078125	(*.f64 #s(literal -1/2 binary64) (/.f64 x y))
accuracy	0.03125	(pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y))) #s(literal -1/2 binary64))
accuracy	0.12109375	(pow.f64 (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y))) #s(literal -1/2 binary64)) #s(literal 2 binary64))
accuracy	14.525358269824782	(cos.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y)))
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	0.0625	(/.f64 #s(literal -1 binary64) (cos.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 x y) (PI.f64))))
accuracy	14.934608584910471	(cos.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 x y) (PI.f64)))
accuracy	16.71053066552266	(PI.f64)
accuracy	12.874638812091247	#s(approx (/ (tan (/ (/ x y) -2)) (sin (/ x (* y 2)))) #s(literal -1 binary64))
accuracy	0.0078125	(fma.f64 #s(literal -1/2 binary64) (/.f64 x y) (/.f64 (PI.f64) #s(literal 2 binary64)))
accuracy	0.0625	(/.f64 #s(literal 1 binary64) (sin.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 x y) (/.f64 (PI.f64) #s(literal 2 binary64)))))
accuracy	14.537645382401498	(sin.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 x y) (/.f64 (PI.f64) #s(literal 2 binary64))))
accuracy	16.71053066552266	(PI.f64)

Samples

71.0ms	64×	1	valid
52.0ms	64×	1	invalid
43.0ms	123×	0	valid
30.0ms	5×	0	invalid

Compiler

Compiled 237 to 36 computations (84.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 169.0ms

ival-div: 53.0ms (31.4% of total)

ival-tan: 40.0ms (23.7% of total)

ival-sin: 25.0ms (14.8% of total)

ival-cos: 21.0ms (12.4% of total)

adjust: 7.0ms (4.1% of total)

ival-mult: 7.0ms (4.1% of total)

ival-pow: 6.0ms (3.6% of total)

ival-pow2: 4.0ms (2.4% of total)

ival-add: 3.0ms (1.8% of total)

ival-pi: 1.0ms (0.6% of total)

exact: 1.0ms (0.6% of total)

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

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

series50.0ms (0.4%)

Memory

12.6MiB live, 56.1MiB allocated

Counts

21 → 110

Calls

Call 1

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

Outputs
(sin (* 1/2 (PI)))
(+ (sin (* 1/2 (PI))) (* -1/2 (/ (* x (cos (* 1/2 (PI)))) y)))
(+ (sin (* 1/2 (PI))) (* x (+ (* -1/2 (/ (cos (* 1/2 (PI))) y)) (* -1/8 (/ (* x (sin (* 1/2 (PI)))) (pow y 2))))))
(+ (sin (* 1/2 (PI))) (* x (+ (* -1/2 (/ (cos (* 1/2 (PI))) y)) (* x (+ (* -1/8 (/ (sin (* 1/2 (PI))) (pow y 2))) (* 1/48 (/ (* x (cos (* 1/2 (PI)))) (pow y 3))))))))
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 (sin (* 1/2 (PI))))
(+ (* 1/2 (/ (* x (cos (* 1/2 (PI)))) (* y (pow (sin (* 1/2 (PI))) 2)))) (/ 1 (sin (* 1/2 (PI)))))
(+ (* x (- (* x (- (* 1/8 (/ 1 (* (pow y 2) (sin (* 1/2 (PI)))))) (* -1/4 (/ (pow (cos (* 1/2 (PI))) 2) (* (pow y 2) (pow (sin (* 1/2 (PI))) 3)))))) (* -1/2 (/ (cos (* 1/2 (PI))) (* y (pow (sin (* 1/2 (PI))) 2)))))) (/ 1 (sin (* 1/2 (PI)))))
(+ (* x (- (* x (- (+ (* -1 (* x (+ (* -1/2 (/ (* (cos (* 1/2 (PI))) (- (* 1/8 (/ 1 (* (pow y 2) (sin (* 1/2 (PI)))))) (* -1/4 (/ (pow (cos (* 1/2 (PI))) 2) (* (pow y 2) (pow (sin (* 1/2 (PI))) 3)))))) (* y (sin (* 1/2 (PI)))))) (+ (* -1/16 (/ (cos (* 1/2 (PI))) (* (pow y 3) (pow (sin (* 1/2 (PI))) 2)))) (* 1/48 (/ (cos (* 1/2 (PI))) (* (pow y 3) (pow (sin (* 1/2 (PI))) 2)))))))) (* 1/8 (/ 1 (* (pow y 2) (sin (* 1/2 (PI))))))) (* -1/4 (/ (pow (cos (* 1/2 (PI))) 2) (* (pow y 2) (pow (sin (* 1/2 (PI))) 3)))))) (* -1/2 (/ (cos (* 1/2 (PI))) (* y (pow (sin (* 1/2 (PI))) 2)))))) (/ 1 (sin (* 1/2 (PI)))))
(* 1/2 (PI))
(+ (* -1/2 (/ x y)) (* 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)
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(* -1 (/ (- (+ (* -1/2 x) (+ (* -1/3840 (/ (pow x 5) (pow y 4))) (+ (* 1/645120 (/ (pow x 7) (pow y 6))) (* 1/48 (/ (pow x 3) (pow y 2)))))) (+ (* -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
25.0ms	y	@	-inf	((sin (+ (* -1/2 (/ x y)) (/ (PI) 2))) (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/ 1 (sin (+ (* -1/2 (/ x y)) (/ (PI) 2)))) (+ (* -1/2 (/ x y)) (/ (PI) 2)) (/ (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)) (pow (pow (cos (* -1/2 (/ x y))) -1/2) 2) (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (pow (cos (* -1/2 (/ x y))) -1/2) (cos (* -1/2 (/ x y))) (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (tan (/ x (* y 2))) (/ (sin (* (/ 1/2 y) x)) (cos (* (/ 1/2 y) x))) (sin (* (/ 1/2 y) x)) (PI) (* -1/2 (/ x y)) (sin (/ x (* y 2))) (cos (* (/ 1/2 y) x)))
6.0ms	y	@	inf	((sin (+ (* -1/2 (/ x y)) (/ (PI) 2))) (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/ 1 (sin (+ (* -1/2 (/ x y)) (/ (PI) 2)))) (+ (* -1/2 (/ x y)) (/ (PI) 2)) (/ (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)) (pow (pow (cos (* -1/2 (/ x y))) -1/2) 2) (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (pow (cos (* -1/2 (/ x y))) -1/2) (cos (* -1/2 (/ x y))) (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (tan (/ x (* y 2))) (/ (sin (* (/ 1/2 y) x)) (cos (* (/ 1/2 y) x))) (sin (* (/ 1/2 y) x)) (PI) (* -1/2 (/ x y)) (sin (/ x (* y 2))) (cos (* (/ 1/2 y) x)))
5.0ms	x	@	0	((sin (+ (* -1/2 (/ x y)) (/ (PI) 2))) (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/ 1 (sin (+ (* -1/2 (/ x y)) (/ (PI) 2)))) (+ (* -1/2 (/ x y)) (/ (PI) 2)) (/ (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)) (pow (pow (cos (* -1/2 (/ x y))) -1/2) 2) (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (pow (cos (* -1/2 (/ x y))) -1/2) (cos (* -1/2 (/ x y))) (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (tan (/ x (* y 2))) (/ (sin (* (/ 1/2 y) x)) (cos (* (/ 1/2 y) x))) (sin (* (/ 1/2 y) x)) (PI) (* -1/2 (/ x y)) (sin (/ x (* y 2))) (cos (* (/ 1/2 y) x)))
4.0ms	x	@	inf	((sin (+ (* -1/2 (/ x y)) (/ (PI) 2))) (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/ 1 (sin (+ (* -1/2 (/ x y)) (/ (PI) 2)))) (+ (* -1/2 (/ x y)) (/ (PI) 2)) (/ (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)) (pow (pow (cos (* -1/2 (/ x y))) -1/2) 2) (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (pow (cos (* -1/2 (/ x y))) -1/2) (cos (* -1/2 (/ x y))) (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (tan (/ x (* y 2))) (/ (sin (* (/ 1/2 y) x)) (cos (* (/ 1/2 y) x))) (sin (* (/ 1/2 y) x)) (PI) (* -1/2 (/ x y)) (sin (/ x (* y 2))) (cos (* (/ 1/2 y) x)))
4.0ms	x	@	-inf	((sin (+ (* -1/2 (/ x y)) (/ (PI) 2))) (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/ 1 (sin (+ (* -1/2 (/ x y)) (/ (PI) 2)))) (+ (* -1/2 (/ x y)) (/ (PI) 2)) (/ (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)) (pow (pow (cos (* -1/2 (/ x y))) -1/2) 2) (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (pow (cos (* -1/2 (/ x y))) -1/2) (cos (* -1/2 (/ x y))) (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (tan (/ x (* y 2))) (/ (sin (* (/ 1/2 y) x)) (cos (* (/ 1/2 y) x))) (sin (* (/ 1/2 y) x)) (PI) (* -1/2 (/ x y)) (sin (/ x (* y 2))) (cos (* (/ 1/2 y) x)))

simplify461.0ms (4.1%)

Memory

-1.7MiB live, 189.8MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	813	4160
1	2788	3832
0	8659	3625

Stop Event

1×	iter limit
1×	node limit

Counts

110 → 110

Calls

Call 1

Inputs
(sin (* 1/2 (PI)))
(+ (sin (* 1/2 (PI))) (* -1/2 (/ (* x (cos (* 1/2 (PI)))) y)))
(+ (sin (* 1/2 (PI))) (* x (+ (* -1/2 (/ (cos (* 1/2 (PI))) y)) (* -1/8 (/ (* x (sin (* 1/2 (PI)))) (pow y 2))))))
(+ (sin (* 1/2 (PI))) (* x (+ (* -1/2 (/ (cos (* 1/2 (PI))) y)) (* x (+ (* -1/8 (/ (sin (* 1/2 (PI))) (pow y 2))) (* 1/48 (/ (* x (cos (* 1/2 (PI)))) (pow y 3))))))))
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 (sin (* 1/2 (PI))))
(+ (* 1/2 (/ (* x (cos (* 1/2 (PI)))) (* y (pow (sin (* 1/2 (PI))) 2)))) (/ 1 (sin (* 1/2 (PI)))))
(+ (* x (- (* x (- (* 1/8 (/ 1 (* (pow y 2) (sin (* 1/2 (PI)))))) (* -1/4 (/ (pow (cos (* 1/2 (PI))) 2) (* (pow y 2) (pow (sin (* 1/2 (PI))) 3)))))) (* -1/2 (/ (cos (* 1/2 (PI))) (* y (pow (sin (* 1/2 (PI))) 2)))))) (/ 1 (sin (* 1/2 (PI)))))
(+ (* x (- (* x (- (+ (* -1 (* x (+ (* -1/2 (/ (* (cos (* 1/2 (PI))) (- (* 1/8 (/ 1 (* (pow y 2) (sin (* 1/2 (PI)))))) (* -1/4 (/ (pow (cos (* 1/2 (PI))) 2) (* (pow y 2) (pow (sin (* 1/2 (PI))) 3)))))) (* y (sin (* 1/2 (PI)))))) (+ (* -1/16 (/ (cos (* 1/2 (PI))) (* (pow y 3) (pow (sin (* 1/2 (PI))) 2)))) (* 1/48 (/ (cos (* 1/2 (PI))) (* (pow y 3) (pow (sin (* 1/2 (PI))) 2)))))))) (* 1/8 (/ 1 (* (pow y 2) (sin (* 1/2 (PI))))))) (* -1/4 (/ (pow (cos (* 1/2 (PI))) 2) (* (pow y 2) (pow (sin (* 1/2 (PI))) 3)))))) (* -1/2 (/ (cos (* 1/2 (PI))) (* y (pow (sin (* 1/2 (PI))) 2)))))) (/ 1 (sin (* 1/2 (PI)))))
(* 1/2 (PI))
(+ (* -1/2 (/ x y)) (* 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))))) 1)
(/ -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)))
(+ 1 (* 1/16 (/ (pow x 2) (pow y 2))))
(+ 1 (* (pow x 2) (+ (* 7/1536 (/ (pow x 2) (pow y 4))) (* 1/16 (/ 1 (pow y 2))))))
(+ 1 (* (pow x 2) (+ (* (pow x 2) (+ (* 139/368640 (/ (pow x 2) (pow y 6))) (* 7/1536 (/ 1 (pow y 4))))) (* 1/16 (/ 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))
(* 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))))
(* -1/2 (/ x y))
(sin (- (* 1/2 (PI)) (* 1/2 (/ x y))))
(/ 1 (cos (* 1/2 (/ x y))))
(/ 1 (sin (- (* 1/2 (PI)) (* 1/2 (/ x y)))))
(* x (- (* 1/2 (/ (PI) x)) (* 1/2 (/ 1 y))))
(/ (sin (* -1/2 (/ x y))) (* (cos (* -1/2 (/ x y))) (sin (* 1/2 (/ x y)))))
(/ -1 (cos (- (PI) (* 1/2 (/ x y)))))
(cos (- (PI) (* 1/2 (/ x y))))
(* x (- (/ (PI) x) (* 1/2 (/ 1 y))))
(/ 1 (cos (* -1/2 (/ x y))))
(sqrt (/ 1 (cos (* -1/2 (/ x y)))))
(cos (* -1/2 (/ x y)))
(/ (sin (* 1/2 (/ x y))) (cos (* 1/2 (/ x y))))
(sin (* 1/2 (/ x y)))
(cos (* 1/2 (/ x y)))
(sin (+ (* -1/2 (/ x y)) (* 1/2 (PI))))
(/ 1 (sin (+ (* -1/2 (/ x y)) (* 1/2 (PI)))))
(* -1 (* x (+ (* -1/2 (/ (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)))))
(/ (+ (* -1/2 x) (* 1/2 (* y (PI)))) y)
(/ (+ (* -1/2 x) (* y (PI))) y)
(+ (sin (* 1/2 (PI))) (+ (* -1/2 (/ (* x (cos (* 1/2 (PI)))) y)) (* -1/8 (/ (* (pow x 2) (sin (* 1/2 (PI)))) (pow y 2)))))
(+ (sin (* 1/2 (PI))) (+ (* -1/2 (/ (* x (cos (* 1/2 (PI)))) y)) (+ (* -1/8 (/ (* (pow x 2) (sin (* 1/2 (PI)))) (pow y 2))) (* 1/48 (/ (* (pow x 3) (cos (* 1/2 (PI)))) (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 (/ (+ (* -1/4 (/ (* (pow x 2) (pow (cos (* 1/2 (PI))) 2)) (pow (sin (* 1/2 (PI))) 3))) (* -1/8 (/ (pow x 2) (sin (* 1/2 (PI)))))) (pow y 2))) (/ 1 (sin (* 1/2 (PI))))) (* -1/2 (/ (* x (cos (* 1/2 (PI)))) (* y (pow (sin (* 1/2 (PI))) 2)))))
(- (+ (* -1 (/ (+ (* -1/16 (/ (* (pow x 3) (cos (* 1/2 (PI)))) (pow (sin (* 1/2 (PI))) 2))) (+ (* 1/48 (/ (* (pow x 3) (cos (* 1/2 (PI)))) (pow (sin (* 1/2 (PI))) 2))) (* 1/2 (/ (* x (* (cos (* 1/2 (PI))) (+ (* -1/4 (/ (* (pow x 2) (pow (cos (* 1/2 (PI))) 2)) (pow (sin (* 1/2 (PI))) 3))) (* -1/8 (/ (pow x 2) (sin (* 1/2 (PI)))))))) (sin (* 1/2 (PI))))))) (pow y 3))) (/ 1 (sin (* 1/2 (PI))))) (+ (* -1/2 (/ (* x (cos (* 1/2 (PI)))) (* y (pow (sin (* 1/2 (PI))) 2)))) (+ (* -1/4 (/ (* (pow x 2) (pow (cos (* 1/2 (PI))) 2)) (* (pow y 2) (pow (sin (* 1/2 (PI))) 3)))) (* -1/8 (/ (pow x 2) (* (pow y 2) (sin (* 1/2 (PI)))))))))
(- (* 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 (/ (+ (* 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)))
(- (+ 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 (+ (* -1/2 (/ (+ (* -1/64 (pow x 4)) (+ (* 1/384 (pow x 4)) (* 1/256 (pow x 4)))) (pow y 4))) (* 1/16 (/ (pow x 2) (pow y 2)))))
(+ 1 (+ (* -1/2 (/ (+ (* -1/16 (* (pow x 2) (+ (* -1/64 (pow x 4)) (+ (* 1/384 (pow x 4)) (* 1/256 (pow x 4)))))) (+ (* -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))) (+ (* -1/2 (/ (+ (* -1/64 (pow x 4)) (+ (* 1/384 (pow x 4)) (* 1/256 (pow x 4)))) (pow y 4))) (* 1/16 (/ (pow x 2) (pow y 2))))))
(+ 1 (+ (* -1/8 (/ (pow x 2) (pow y 2))) (* 1/384 (/ (pow x 4) (pow y 4)))))
(+ 1 (+ (* -1/8 (/ (pow x 2) (pow y 2))) (+ (* -1/46080 (/ (pow x 6) (pow y 6))) (* 1/384 (/ (pow x 4) (pow y 4))))))
(/ (- (+ (* -1/48 (/ (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)
(+ (sin (* 1/2 (PI))) (* -1 (/ (+ (* 1/8 (/ (* (pow x 2) (sin (* 1/2 (PI)))) y)) (* 1/2 (* x (cos (* 1/2 (PI)))))) y)))
(+ (sin (* 1/2 (PI))) (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (* (pow x 2) (sin (* 1/2 (PI))))) (* 1/48 (/ (* (pow x 3) (cos (* 1/2 (PI)))) y))) y)) (* 1/2 (* x (cos (* 1/2 (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))))))
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(+ (* -1 (/ (- (+ (* -1/4 (/ (* (pow x 2) (pow (cos (* 1/2 (PI))) 2)) (* y (pow (sin (* 1/2 (PI))) 3)))) (* -1/8 (/ (pow x 2) (* y (sin (* 1/2 (PI))))))) (* 1/2 (/ (* x (cos (* 1/2 (PI)))) (pow (sin (* 1/2 (PI))) 2)))) y)) (/ 1 (sin (* 1/2 (PI)))))
(+ (* -1 (/ (- (* -1 (/ (- (+ (* -1/2 (/ (* x (* (cos (* 1/2 (PI))) (+ (* -1/4 (/ (* (pow x 2) (pow (cos (* 1/2 (PI))) 2)) (pow (sin (* 1/2 (PI))) 3))) (* -1/8 (/ (pow x 2) (sin (* 1/2 (PI)))))))) (* y (sin (* 1/2 (PI)))))) (+ (* -1/48 (/ (* (pow x 3) (cos (* 1/2 (PI)))) (* y (pow (sin (* 1/2 (PI))) 2)))) (* 1/16 (/ (* (pow x 3) (cos (* 1/2 (PI)))) (* y (pow (sin (* 1/2 (PI))) 2)))))) (+ (* -1/4 (/ (* (pow x 2) (pow (cos (* 1/2 (PI))) 2)) (pow (sin (* 1/2 (PI))) 3))) (* -1/8 (/ (pow x 2) (sin (* 1/2 (PI))))))) y)) (* 1/2 (/ (* x (cos (* 1/2 (PI)))) (pow (sin (* 1/2 (PI))) 2)))) y)) (/ 1 (sin (* 1/2 (PI)))))
(- (* -2 (/ (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3))) (* x (pow y 2)))) (+ 1 (* 1/24 (/ (pow x 2) (pow y 2)))))
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(- (* -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))))
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(+ (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)))) (* 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))
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Outputs
(sin (* 1/2 (PI)))
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(+ (sin (* 1/2 (PI))) (* -1/2 (/ (* x (cos (* 1/2 (PI)))) y)))
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(+ (sin (* 1/2 (PI))) (* x (+ (* -1/2 (/ (cos (* 1/2 (PI))) y)) (* x (+ (* -1/8 (/ (sin (* 1/2 (PI))) (pow y 2))) (* 1/48 (/ (* x (cos (* 1/2 (PI)))) (pow y 3))))))))
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(/.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 (/.f64 #s(literal 1/48 binary64) y) (/.f64 (pow.f64 x #s(literal 3 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))) (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 (/.f64 (pow.f64 x #s(literal 7 binary64)) (pow.f64 y #s(literal 6 binary64))) #s(literal 1/645120 binary64) (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))

rewrite176.0ms (1.6%)

Memory

35.0MiB live, 220.1MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	44	245
0	68	209
1	196	209
2	1068	209
0	8237	209

Stop Event

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

Counts

21 → 681

Calls

Call 1

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

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

eval186.0ms (1.6%)

Memory: -52.3MiB live, 209.1MiB allocated
Compiler: Compiled 24 271 to 3 193 computations (86.8% saved)

prune61.0ms (0.5%)

Memory

32.7MiB live, 126.1MiB allocated

Pruning

48 alts after pruning (43 fresh and 5 done)

	Pruned	Kept	Total
New	565	34	599
Fresh	2	9	11
Picked	3	2	5
Done	0	3	3
Total	570	48	618

Accuracy

61.0%

Counts

618 → 48

Alt Table

Click to see full alt table

Status	Accuracy	Program
	4.6%	(/.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)))))
	4.1%	(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x y))) (*.f64 (sin.f64 (/.f64 x y)) (sin.f64 (/.f64 (/.f64 x 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))))
✓	42.0%	(/.f64 (tan.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))))
	4.1%	(/.f64 (sin.f64 (/.f64 x y)) (*.f64 (+.f64 (cos.f64 (/.f64 x y)) #s(literal 1 binary64)) (sin.f64 (/.f64 (/.f64 x y) #s(literal -2 binary64)))))
	34.9%	(/.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)))
	8.0%	(/.f64 #s(approx (tan (/ x (* y 2))) (/.f64 (-.f64 (.f64 (sin.f64 (.f64 (/.f64 x y) #s(literal -1/2 binary64))) #s(literal -1 binary64)) (.f64 (cos.f64 (.f64 (/.f64 #s(literal 1/2 binary64) y) x)) (sin.f64 (neg.f64 (PI.f64))))) (cos.f64 (.f64 (/.f64 #s(literal 1/2 binary64) y) x)))) (sin.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))))
	8.2%	(/.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)))) (-.f64 (.f64 (sin.f64 (/.f64 (/.f64 x y) #s(literal -2 binary64))) #s(literal -1 binary64)) (.f64 (cos.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64))) (sin.f64 (neg.f64 (PI.f64))))))
	7.3%	(/.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 (/.f64 (/.f64 x y) #s(literal -2 binary64)) (PI.f64))))
	7.1%	(/.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)))) (cos.f64 (/.f64 (+.f64 (/.f64 (neg.f64 x) y) (PI.f64)) #s(literal 2 binary64))))
	42.0%	(/.f64 #s(approx (tan (/ x (* y 2))) (/.f64 (sin.f64 (.f64 (/.f64 #s(literal 1/2 binary64) y) x)) #s(approx (cos ( (/ 1/2 y) x)) (cos.f64 (.f64 #s(literal 1/2 binary64) (/.f64 x y)))))) (sin.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))))
	41.4%	(/.f64 #s(approx (tan (/ x (* y 2))) (/.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) (/.f64 x y))) (cos.f64 (.f64 #s(literal 1/2 binary64) (/.f64 x y))))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
	7.6%	(/.f64 #s(approx (tan (/ x (* y 2))) (/.f64 (cos.f64 (fma.f64 (/.f64 x y) #s(literal -1/2 binary64) (/.f64 (PI.f64) #s(literal 2 binary64)))) (cos.f64 (.f64 (/.f64 #s(literal 1/2 binary64) y) x)))) (sin.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))))
	41.8%	(/.f64 #s(approx (tan (/ x (* y 2))) (tan.f64 (.f64 (/.f64 #s(literal 1/2 binary64) y) x))) (sin.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))))
✓	7.2%	#s(approx (/ (tan (/ (/ x y) -2)) (sin (/ x (* y 2)))) #s(literal -1 binary64))
▶	48.7%	#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (fma.f64 (/.f64 (*.f64 #s(literal 1/8 binary64) x) y) (/.f64 x y) #s(literal 1 binary64)))
	51.7%	#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (pow.f64 (pow.f64 (pow.f64 (cos.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)) #s(literal 2 binary64)) #s(literal -1/4 binary64)) #s(literal 2 binary64)))
	50.1%	#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (pow.f64 (pow.f64 (pow.f64 (cos.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)) #s(literal -1/4 binary64)) #s(literal 2 binary64)) #s(literal 2 binary64)))
	50.1%	#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (pow.f64 (pow.f64 (cos.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)) #s(literal -1/4 binary64)) #s(literal 4 binary64)))
	50.1%	#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (pow.f64 (/.f64 (+.f64 (pow.f64 (cosh.f64 (.f64 (log.f64 (cos.f64 (.f64 (/.f64 #s(literal 1/2 binary64) y) x))) #s(literal -1/2 binary64))) #s(literal 3 binary64)) (pow.f64 (sinh.f64 (.f64 (log.f64 (cos.f64 (.f64 (/.f64 #s(literal 1/2 binary64) y) x))) #s(literal -1/2 binary64))) #s(literal 3 binary64))) (fma.f64 (cosh.f64 (.f64 (log.f64 (cos.f64 (.f64 (/.f64 #s(literal 1/2 binary64) y) x))) #s(literal -1/2 binary64))) (cosh.f64 (.f64 (log.f64 (cos.f64 (.f64 (/.f64 #s(literal 1/2 binary64) y) x))) #s(literal -1/2 binary64))) (-.f64 (.f64 (sinh.f64 (.f64 (log.f64 (cos.f64 (.f64 (/.f64 #s(literal 1/2 binary64) y) x))) #s(literal -1/2 binary64))) (sinh.f64 (.f64 (log.f64 (cos.f64 (.f64 (/.f64 #s(literal 1/2 binary64) y) x))) #s(literal -1/2 binary64)))) (.f64 (cosh.f64 (.f64 (log.f64 (cos.f64 (.f64 (/.f64 #s(literal 1/2 binary64) y) x))) #s(literal -1/2 binary64))) (sinh.f64 (.f64 (log.f64 (cos.f64 (.f64 (/.f64 #s(literal 1/2 binary64) y) x))) #s(literal -1/2 binary64))))))) #s(literal 2 binary64)))
▶	50.1%	#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (pow.f64 #s(approx (pow (cos (* -1/2 (/ x y))) -1/2) (sqrt.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y)))))) #s(literal 2 binary64)))
▶	50.2%	#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (-.f64 (cos.f64 (fma.f64 (/.f64 x y) #s(literal -1/2 binary64) (neg.f64 (PI.f64)))) (cos.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) y) x (PI.f64)))) (-.f64 (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))))
	52.5%	#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (-.f64 (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)))) (+.f64 (sin.f64 (-.f64 (.f64 (/.f64 x y) #s(literal -1/2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64)))) (cos.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)))) #s(literal 2 binary64))))
	52.1%	#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) #s(literal 2 binary64))))))
	52.4%	#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))))))
	52.6%	#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))))))
	49.9%	#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (sin.f64 (/.f64 (fma.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)) #s(literal -1/8 binary64) (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64))) (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/4 binary64) (.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (.f64 (/.f64 x y) #s(literal -1/2 binary64)))))))))
	49.8%	#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (sin.f64 (/.f64 (fma.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)) #s(literal -1/8 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 #s(literal 1/2 binary64) y) x) #s(literal 2 binary64)) (/.f64 (.f64 (*.f64 (/.f64 x y) #s(literal -1/2 binary64)) (PI.f64)) #s(literal 2 binary64))))))))
	50.4%	#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (sin.f64 (+.f64 (/.f64 (pow.f64 (.f64 (/.f64 #s(literal 1/2 binary64) y) x) #s(literal 2 binary64)) (-.f64 (.f64 (/.f64 x y) #s(literal -1/2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64)))) (/.f64 (.f64 (neg.f64 (/.f64 (PI.f64) #s(literal 2 binary64))) (/.f64 (PI.f64) #s(literal 2 binary64))) (-.f64 (.f64 (/.f64 x y) #s(literal -1/2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64))))))))
▶	53.0%	#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (sin.f64 #s(approx (+ (* -1/2 (/ x y)) (/ (PI) 2)) (*.f64 #s(literal -1/2 binary64) (-.f64 (/.f64 x y) (PI.f64)))))))
	53.0%	#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) x) y))))
	52.6%	#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 (fma.f64 (neg.f64 x) (/.f64 #s(literal 1/2 binary64) y) (PI.f64)) (PI.f64)))))
✓	52.6%	#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))))
▶	52.6%	#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal -1 binary64) (fma.f64 (sin.f64 (.f64 (/.f64 x y) #s(literal -1/2 binary64))) (cos.f64 (+.f64 (PI.f64) (/.f64 (PI.f64) #s(literal 2 binary64)))) (.f64 (cos.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)) #s(literal -1 binary64)))))
	52.6%	#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal -1 binary64) (fma.f64 (cos.f64 (.f64 (/.f64 #s(literal 1/2 binary64) y) x)) #s(literal -1 binary64) (.f64 (sin.f64 (*.f64 (/.f64 x y) #s(literal -1/2 binary64))) (sin.f64 (neg.f64 (PI.f64)))))))
	52.2%	#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal -1 binary64) (/.f64 (-.f64 (pow.f64 (.f64 (cos.f64 (.f64 (/.f64 #s(literal 1/2 binary64) y) x)) #s(literal -1 binary64)) #s(literal 2 binary64)) (pow.f64 (.f64 (sin.f64 (.f64 (/.f64 x y) #s(literal -1/2 binary64))) #s(literal 0 binary64)) #s(literal 2 binary64))) (cos.f64 (fma.f64 (/.f64 x y) #s(literal -1/2 binary64) (neg.f64 (PI.f64)))))))
	52.3%	#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal -1 binary64) (/.f64 (-.f64 (+.f64 (cos.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) y) x (PI.f64))) (cos.f64 (fma.f64 (/.f64 x y) #s(literal -1/2 binary64) (neg.f64 (PI.f64))))) (+.f64 (sin.f64 (-.f64 (.f64 (/.f64 x y) #s(literal -1/2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64)))) (cos.f64 (.f64 (/.f64 #s(literal 1/2 binary64) y) x)))) #s(literal 2 binary64))))
	52.3%	#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal -1 binary64) (/.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)))) (-.f64 (cos.f64 (fma.f64 (/.f64 x y) #s(literal -1/2 binary64) (neg.f64 (PI.f64)))) (cos.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) y) x (PI.f64))))) #s(literal 2 binary64))))
	52.4%	#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal -1 binary64) (/.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)))) (+.f64 (sin.f64 (-.f64 (.f64 (/.f64 x y) #s(literal -1/2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64)))) (cos.f64 (.f64 (/.f64 #s(literal 1/2 binary64) y) x)))) #s(literal 2 binary64))))
	52.1%	#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal -1 binary64) (sin.f64 (+.f64 (+.f64 (+.f64 (PI.f64) (fma.f64 (/.f64 x y) #s(literal -1/2 binary64) (/.f64 (PI.f64) #s(literal 2 binary64)))) (PI.f64)) (PI.f64)))))
	52.5%	#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal -1 binary64) (cos.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) y) x (PI.f64)))))
✓	52.2%	#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)))))
	49.5%	#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal -1 binary64) (cos.f64 (/.f64 (fma.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)) #s(literal -1/8 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 x y) #s(literal -1/2 binary64)) (PI.f64))))))))
	49.9%	#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal -1 binary64) (cos.f64 (/.f64 (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/4 binary64) (*.f64 (neg.f64 (PI.f64)) (PI.f64))) (fma.f64 (/.f64 x y) #s(literal -1/2 binary64) (neg.f64 (PI.f64)))))))
	49.4%	#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal -1 binary64) (cos.f64 (/.f64 (-.f64 (.f64 (pow.f64 (.f64 (/.f64 #s(literal 1/2 binary64) y) x) #s(literal 2 binary64)) (fma.f64 (/.f64 x y) #s(literal -1/2 binary64) (neg.f64 (PI.f64)))) (.f64 (fma.f64 (/.f64 x y) #s(literal -1/2 binary64) (neg.f64 (PI.f64))) (.f64 (PI.f64) (PI.f64)))) (*.f64 (fma.f64 (/.f64 x y) #s(literal -1/2 binary64) (neg.f64 (PI.f64))) (fma.f64 (/.f64 x y) #s(literal -1/2 binary64) (neg.f64 (PI.f64))))))))
	46.4%	#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal -1 binary64) #s(approx (cos (+ (* -1/2 (/ x y)) (PI))) (fma.f64 (fma.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 y y)) x #s(literal 0 binary64)) x #s(literal -1 binary64)))))
✓	53.4%	#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(literal 1 binary64))

Compiler

Compiled 3 184 to 1 984 computations (37.7% saved)

simplify153.0ms (1.4%)

Memory

-19.6MiB live, 214.7MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	2	(+.f64 (-.f64 (cos.f64 (fma.f64 (/.f64 x y) #s(literal -1/2 binary64) (neg.f64 (PI.f64)))) (cos.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) y) x (PI.f64)))) (-.f64 (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)))))
cost-diff	4	(/.f64 (+.f64 (-.f64 (cos.f64 (fma.f64 (/.f64 x y) #s(literal -1/2 binary64) (neg.f64 (PI.f64)))) (cos.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) y) x (PI.f64)))) (-.f64 (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))
cost-diff	6	(-.f64 (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))))
cost-diff	14	(-.f64 (cos.f64 (fma.f64 (/.f64 x y) #s(literal -1/2 binary64) (neg.f64 (PI.f64)))) (cos.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) y) x (PI.f64))))
cost-diff	1	(.f64 (cos.f64 (.f64 (/.f64 #s(literal 1/2 binary64) y) x)) #s(literal -1 binary64))
cost-diff	1	(/.f64 #s(literal -1 binary64) (fma.f64 (sin.f64 (.f64 (/.f64 x y) #s(literal -1/2 binary64))) (cos.f64 (+.f64 (PI.f64) (/.f64 (PI.f64) #s(literal 2 binary64)))) (.f64 (cos.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)) #s(literal -1 binary64))))
cost-diff	5	(cos.f64 (+.f64 (PI.f64) (/.f64 (PI.f64) #s(literal 2 binary64))))
cost-diff	8	(fma.f64 (sin.f64 (.f64 (/.f64 x y) #s(literal -1/2 binary64))) (cos.f64 (+.f64 (PI.f64) (/.f64 (PI.f64) #s(literal 2 binary64)))) (.f64 (cos.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)) #s(literal -1 binary64)))
cost-diff	0	(sqrt.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y)))))
cost-diff	0	#s(approx (pow (cos (* -1/2 (/ x y))) -1/2) (sqrt.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y))))))
cost-diff	0	(pow.f64 #s(approx (pow (cos (* -1/2 (/ x y))) -1/2) (sqrt.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y)))))) #s(literal 2 binary64))
cost-diff	0	#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (pow.f64 #s(approx (pow (cos (* -1/2 (/ x y))) -1/2) (sqrt.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y)))))) #s(literal 2 binary64)))
cost-diff	0	(*.f64 #s(literal 1/8 binary64) x)
cost-diff	0	(/.f64 (*.f64 #s(literal 1/8 binary64) x) y)
cost-diff	0	(fma.f64 (/.f64 (*.f64 #s(literal 1/8 binary64) x) y) (/.f64 x y) #s(literal 1 binary64))
cost-diff	0	#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (fma.f64 (/.f64 (*.f64 #s(literal 1/8 binary64) x) y) (/.f64 x y) #s(literal 1 binary64)))
cost-diff	0	#s(approx (+ (* -1/2 (/ x y)) (/ (PI) 2)) (*.f64 #s(literal -1/2 binary64) (-.f64 (/.f64 x y) (PI.f64))))
cost-diff	0	(sin.f64 #s(approx (+ (* -1/2 (/ x y)) (/ (PI) 2)) (*.f64 #s(literal -1/2 binary64) (-.f64 (/.f64 x y) (PI.f64)))))
cost-diff	0	(/.f64 #s(literal 1 binary64) (sin.f64 #s(approx (+ (* -1/2 (/ x y)) (/ (PI) 2)) (*.f64 #s(literal -1/2 binary64) (-.f64 (/.f64 x y) (PI.f64))))))
cost-diff	0	#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (sin.f64 #s(approx (+ (* -1/2 (/ x y)) (/ (PI) 2)) (*.f64 #s(literal -1/2 binary64) (-.f64 (/.f64 x y) (PI.f64)))))))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	62	636
0	99	504
1	175	490
2	358	474
3	689	460
4	1333	460
5	2779	460
6	6688	460
0	8558	456

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

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

localize801.0ms (7.1%)

Memory

12.5MiB live, 1 050.6MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	14.525358269824782	(cos.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x))
accuracy	14.934608584910471	(cos.f64 (fma.f64 (/.f64 x y) #s(literal -1/2 binary64) (neg.f64 (PI.f64))))
accuracy	14.934608584910471	(cos.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) y) x (PI.f64)))
accuracy	16.71053066552266	(PI.f64)
accuracy	14.525358269824782	(cos.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x))
accuracy	14.719145250679064	(sin.f64 (*.f64 (/.f64 x y) #s(literal -1/2 binary64)))
accuracy	16.71053066552266	(PI.f64)
accuracy	45.23268068392497	(cos.f64 (+.f64 (PI.f64) (/.f64 (PI.f64) #s(literal 2 binary64))))
accuracy	0.015625	(sqrt.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y)))))
accuracy	0.0625	(/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y))))
accuracy	0.12109375	(pow.f64 #s(approx (pow (cos (* -1/2 (/ x y))) -1/2) (sqrt.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y)))))) #s(literal 2 binary64))
accuracy	14.525358269824782	(cos.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y)))
accuracy	0.0	(/.f64 x y)
accuracy	0.0	(*.f64 #s(literal 1/8 binary64) x)
accuracy	0.0390625	(fma.f64 (/.f64 (*.f64 #s(literal 1/8 binary64) x) y) (/.f64 x y) #s(literal 1 binary64))
accuracy	15.68911469408129	#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (fma.f64 (/.f64 (*.f64 #s(literal 1/8 binary64) x) y) (/.f64 x y) #s(literal 1 binary64)))
accuracy	0.0078125	(-.f64 (/.f64 x y) (PI.f64))
accuracy	0.0625	(/.f64 #s(literal 1 binary64) (sin.f64 #s(approx (+ (* -1/2 (/ x y)) (/ (PI) 2)) (*.f64 #s(literal -1/2 binary64) (-.f64 (/.f64 x y) (PI.f64))))))
accuracy	14.537645382401498	(sin.f64 #s(approx (+ (* -1/2 (/ x y)) (/ (PI) 2)) (*.f64 #s(literal -1/2 binary64) (-.f64 (/.f64 x y) (PI.f64)))))
accuracy	16.71053066552266	(PI.f64)

Samples

467.0ms	127×	2	valid
119.0ms	60×	1	valid
87.0ms	64×	1	invalid
3.0ms	5×	0	invalid

Compiler

Compiled 500 to 56 computations (88.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 585.0ms

ival-cos: 187.0ms (32% of total)

ival-mult: 80.0ms (13.7% of total)

ival-sin: 78.0ms (13.3% of total)

adjust: 54.0ms (9.2% of total)

ival-add: 50.0ms (8.5% of total)

ival-div: 42.0ms (7.2% of total)

ival-sub: 33.0ms (5.6% of total)

ival-pow2: 30.0ms (5.1% of total)

ival-pow: 12.0ms (2.1% of total)

ival-tan: 8.0ms (1.4% of total)

ival-sqrt: 4.0ms (0.7% of total)

ival-neg: 3.0ms (0.5% of total)

ival-pi: 3.0ms (0.5% of total)

exact: 1.0ms (0.2% of total)

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

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

series87.0ms (0.8%)

Memory

15.5MiB live, 106.5MiB allocated

Counts

29 → 166

Calls

Call 1

Inputs
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (sin.f64 #s(approx (+ (* -1/2 (/ x y)) (/ (PI) 2)) (*.f64 #s(literal -1/2 binary64) (-.f64 (/.f64 x y) (PI.f64)))))))
(/.f64 #s(literal 1 binary64) (sin.f64 #s(approx (+ (* -1/2 (/ x y)) (/ (PI) 2)) (*.f64 #s(literal -1/2 binary64) (-.f64 (/.f64 x y) (PI.f64))))))
(sin.f64 #s(approx (+ (* -1/2 (/ x y)) (/ (PI) 2)) (*.f64 #s(literal -1/2 binary64) (-.f64 (/.f64 x y) (PI.f64)))))
#s(approx (+ (* -1/2 (/ x y)) (/ (PI) 2)) (*.f64 #s(literal -1/2 binary64) (-.f64 (/.f64 x y) (PI.f64))))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (fma.f64 (/.f64 (*.f64 #s(literal 1/8 binary64) x) y) (/.f64 x y) #s(literal 1 binary64)))
(fma.f64 (/.f64 (*.f64 #s(literal 1/8 binary64) x) y) (/.f64 x y) #s(literal 1 binary64))
(/.f64 (*.f64 #s(literal 1/8 binary64) x) y)
(*.f64 #s(literal 1/8 binary64) x)
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (pow.f64 #s(approx (pow (cos (* -1/2 (/ x y))) -1/2) (sqrt.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y)))))) #s(literal 2 binary64)))
(pow.f64 #s(approx (pow (cos (* -1/2 (/ x y))) -1/2) (sqrt.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y)))))) #s(literal 2 binary64))
#s(approx (pow (cos (* -1/2 (/ x y))) -1/2) (sqrt.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y))))))
(sqrt.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y)))))
(fma.f64 (sin.f64 (.f64 (/.f64 x y) #s(literal -1/2 binary64))) (cos.f64 (+.f64 (PI.f64) (/.f64 (PI.f64) #s(literal 2 binary64)))) (.f64 (cos.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)) #s(literal -1 binary64)))
(cos.f64 (+.f64 (PI.f64) (/.f64 (PI.f64) #s(literal 2 binary64))))
(/.f64 #s(literal -1 binary64) (fma.f64 (sin.f64 (.f64 (/.f64 x y) #s(literal -1/2 binary64))) (cos.f64 (+.f64 (PI.f64) (/.f64 (PI.f64) #s(literal 2 binary64)))) (.f64 (cos.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)) #s(literal -1 binary64))))
(.f64 (cos.f64 (.f64 (/.f64 #s(literal 1/2 binary64) y) x)) #s(literal -1 binary64))
(-.f64 (cos.f64 (fma.f64 (/.f64 x y) #s(literal -1/2 binary64) (neg.f64 (PI.f64)))) (cos.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) y) x (PI.f64))))
(-.f64 (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))))
(/.f64 (+.f64 (-.f64 (cos.f64 (fma.f64 (/.f64 x y) #s(literal -1/2 binary64) (neg.f64 (PI.f64)))) (cos.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) y) x (PI.f64)))) (-.f64 (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))
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(+ 1 (+ (* -1/8 (/ (pow x 2) (pow y 2))) (+ (* -1/46080 (/ (pow x 6) (pow y 6))) (* 1/384 (/ (pow x 4) (pow y 4))))))
(/ (+ (* -1/2 x) (* 1/48 (/ (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))))) 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)))))) y)
(- (+ (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)))
(- (+ (cos (neg (PI))) (* -1/8 (/ (* (pow x 2) (cos (neg (PI)))) (pow y 2)))) (* -1/2 (/ (* x (sin (neg (PI)))) y)))
(- (+ (cos (neg (PI))) (+ (* -1/8 (/ (* (pow x 2) (cos (neg (PI)))) (pow y 2))) (* -1/48 (/ (* (pow x 3) (sin (neg (PI)))) (pow y 3))))) (* -1/2 (/ (* x (sin (neg (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 (cos (* 1/2 (PI))) 2)) (* y (pow (sin (* 1/2 (PI))) 3)))) (* -1/8 (/ (pow x 2) (* y (sin (* 1/2 (PI))))))) (* 1/2 (/ (* x (cos (* 1/2 (PI)))) (pow (sin (* 1/2 (PI))) 2)))) y)) (/ 1 (sin (* 1/2 (PI)))))
(+ (* -1 (/ (- (* -1 (/ (- (+ (* -1/2 (/ (* x (* (cos (* 1/2 (PI))) (+ (* -1/4 (/ (* (pow x 2) (pow (cos (* 1/2 (PI))) 2)) (pow (sin (* 1/2 (PI))) 3))) (* -1/8 (/ (pow x 2) (sin (* 1/2 (PI)))))))) (* y (sin (* 1/2 (PI)))))) (+ (* -1/48 (/ (* (pow x 3) (cos (* 1/2 (PI)))) (* y (pow (sin (* 1/2 (PI))) 2)))) (* 1/16 (/ (* (pow x 3) (cos (* 1/2 (PI)))) (* y (pow (sin (* 1/2 (PI))) 2)))))) (+ (* -1/4 (/ (* (pow x 2) (pow (cos (* 1/2 (PI))) 2)) (pow (sin (* 1/2 (PI))) 3))) (* -1/8 (/ (pow x 2) (sin (* 1/2 (PI))))))) y)) (* 1/2 (/ (* x (cos (* 1/2 (PI)))) (pow (sin (* 1/2 (PI))) 2)))) y)) (/ 1 (sin (* 1/2 (PI)))))
(+ (sin (* 1/2 (PI))) (* -1 (/ (+ (* 1/8 (/ (* (pow x 2) (sin (* 1/2 (PI)))) y)) (* 1/2 (* x (cos (* 1/2 (PI)))))) y)))
(+ (sin (* 1/2 (PI))) (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (* (pow x 2) (sin (* 1/2 (PI))))) (* 1/48 (/ (* (pow x 3) (cos (* 1/2 (PI)))) y))) y)) (* 1/2 (* x (cos (* 1/2 (PI)))))) y)))
(- (* -1 (/ (+ (* -1/8 (/ (pow x 2) y)) (* 1/2 (* x (cos (+ (PI) (* 1/2 (PI))))))) y)) 1)
(- (* -1 (/ (+ (* -1 (/ (+ (* 1/48 (/ (* (pow x 3) (cos (+ (PI) (* 1/2 (PI))))) y)) (* 1/8 (pow x 2))) y)) (* 1/2 (* x (cos (+ (PI) (* 1/2 (PI))))))) y)) 1)
(+ 1 (* -1 (/ (- (+ (* -1/4 (/ (* (pow x 2) (pow (cos (+ (PI) (* 1/2 (PI)))) 2)) y)) (* -1/8 (/ (pow x 2) y))) (* -1/2 (* x (cos (+ (PI) (* 1/2 (PI))))))) y)))
(+ 1 (* -1 (/ (- (* -1 (/ (- (+ (* -1/16 (/ (* (pow x 3) (cos (+ (PI) (* 1/2 (PI))))) y)) (+ (* 1/48 (/ (* (pow x 3) (cos (+ (PI) (* 1/2 (PI))))) y)) (* 1/2 (/ (* x (* (cos (+ (PI) (* 1/2 (PI)))) (+ (* -1/4 (* (pow x 2) (pow (cos (+ (PI) (* 1/2 (PI)))) 2))) (* -1/8 (pow x 2))))) y)))) (+ (* -1/4 (* (pow x 2) (pow (cos (+ (PI) (* 1/2 (PI)))) 2))) (* -1/8 (pow x 2)))) y)) (* -1/2 (* x (cos (+ (PI) (* 1/2 (PI))))))) y)))
(- (+ (cos (neg (PI))) (* -1 (/ (- (* -1/2 (* x (sin (PI)))) (* 1/2 (* x (sin (neg (PI)))))) y))) (cos (PI)))
(- (+ (cos (neg (PI))) (* -1 (/ (- (+ (* -1 (/ (- (* -1/8 (* (pow x 2) (cos (neg (PI))))) (* -1/8 (* (pow x 2) (cos (PI))))) y)) (* -1/2 (* x (sin (PI))))) (* 1/2 (* x (sin (neg (PI)))))) y))) (cos (PI)))
(- (+ (cos (neg (PI))) (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1 (/ (- (* 1/48 (* (pow x 3) (sin (PI)))) (* -1/48 (* (pow x 3) (sin (neg (PI)))))) y)) (* -1/8 (* (pow x 2) (cos (neg (PI)))))) (* -1/8 (* (pow x 2) (cos (PI))))) y)) (* -1/2 (* x (sin (PI))))) (* 1/2 (* x (sin (neg (PI)))))) y))) (cos (PI)))
(- (+ 1 (* -1 (/ (+ (* -1 (/ (- (* -1/8 (pow x 2)) (* -1/8 (* (pow x 2) (cos (PI))))) y)) (* -1/2 (* x (sin (PI))))) y))) (cos (PI)))
(- (+ 1 (* -1 (/ (+ (* -1 (/ (- (+ (* -1/8 (pow x 2)) (* -1/48 (/ (* (pow x 3) (sin (PI))) y))) (* -1/8 (* (pow x 2) (cos (PI))))) y)) (* -1/2 (* x (sin (PI))))) y))) (cos (PI)))
(+ (* 1/2 (- (+ 1 (cos (neg (PI)))) (* 2 (cos (PI))))) (* 1/2 (/ (+ (* 1/2 (* x (sin (neg (PI))))) (* x (sin (PI)))) y)))
(+ (* -1 (/ (+ (* -1/2 (+ (* 1/2 (* x (sin (neg (PI))))) (* x (sin (PI))))) (* -1/2 (/ (- (+ (* -1/8 (* (pow x 2) (cos (neg (PI))))) (* -1/8 (pow x 2))) (* -1/4 (* (pow x 2) (cos (PI))))) y))) y)) (* 1/2 (- (+ 1 (cos (neg (PI)))) (* 2 (cos (PI))))))
(+ (* -1 (/ (+ (* -1 (/ (+ (* 1/2 (- (+ (* -1/8 (* (pow x 2) (cos (neg (PI))))) (* -1/8 (pow x 2))) (* -1/4 (* (pow x 2) (cos (PI)))))) (* 1/2 (/ (+ (* -1/24 (* (pow x 3) (sin (PI)))) (* -1/48 (* (pow x 3) (sin (neg (PI)))))) y))) y)) (* -1/2 (+ (* 1/2 (* x (sin (neg (PI))))) (* x (sin (PI)))))) y)) (* 1/2 (- (+ 1 (cos (neg (PI)))) (* 2 (cos (PI))))))
(- (+ 1 (+ (cos (neg (PI))) (+ (* 1/2 (/ (* x (sin (neg (PI)))) y)) (/ (* x (sin (PI))) y)))) (* 2 (cos (PI))))
(- (+ 1 (+ (cos (neg (PI))) (* -1 (/ (- (* -1 (/ (- (+ (* -1/8 (* (pow x 2) (cos (neg (PI))))) (* -1/8 (pow x 2))) (* -1/4 (* (pow x 2) (cos (PI))))) y)) (+ (* 1/2 (* x (sin (neg (PI))))) (* x (sin (PI))))) y)))) (* 2 (cos (PI))))
(- (+ 1 (+ (cos (neg (PI))) (* -1 (/ (- (* -1 (/ (- (+ (* -1/8 (* (pow x 2) (cos (neg (PI))))) (+ (* -1/8 (pow x 2)) (+ (* -1/24 (/ (* (pow x 3) (sin (PI))) y)) (* -1/48 (/ (* (pow x 3) (sin (neg (PI)))) y))))) (* -1/4 (* (pow x 2) (cos (PI))))) y)) (+ (* 1/2 (* x (sin (neg (PI))))) (* x (sin (PI))))) y)))) (* 2 (cos (PI))))
(* -1 (/ (+ (* -1/48 (/ (pow x 3) (pow y 2))) (* 1/2 x)) y))
(* -1 (/ (+ (* -1/48 (/ (pow x 3) (pow y 2))) (+ (* 1/3840 (/ (pow x 5) (pow y 4))) (* 1/2 x))) 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)))) 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)))
(+ (cos (neg (PI))) (* -1 (/ (- (* 1/8 (/ (* (pow x 2) (cos (neg (PI)))) y)) (* 1/2 (* x (sin (neg (PI)))))) y)))
(+ (cos (neg (PI))) (* -1 (/ (- (* -1 (/ (+ (* -1/8 (* (pow x 2) (cos (neg (PI))))) (* -1/48 (/ (* (pow x 3) (sin (neg (PI)))) y))) y)) (* 1/2 (* x (sin (neg (PI)))))) y)))

Calls

6 calls:

Time	Variable		Point	Expression
47.0ms	y	@	-inf	((/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/ 1 (sin (+ (* -1/2 (/ x y)) (/ (PI) 2)))) (sin (+ (* -1/2 (/ x y)) (/ (PI) 2))) (+ (* -1/2 (/ x y)) (/ (PI) 2)) (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (+ (* (/ (* 1/8 x) y) (/ x y)) 1) (/ (* 1/8 x) y) (* 1/8 x) (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (pow (pow (cos (* -1/2 (/ x y))) -1/2) 2) (pow (cos (* -1/2 (/ x y))) -1/2) (sqrt (/ 1 (cos (* 1/2 (/ x y))))) (+ (* (sin (* (/ x y) -1/2)) (cos (+ (PI) (/ (PI) 2)))) (* (cos (* (/ 1/2 y) x)) -1)) (cos (+ (PI) (/ (PI) 2))) (/ -1 (+ (* (sin (* (/ x y) -1/2)) (cos (+ (PI) (/ (PI) 2)))) (* (cos (* (/ 1/2 y) x)) -1))) (* (cos (* (/ 1/2 y) x)) -1) (- (cos (+ (* (/ x y) -1/2) (neg (PI)))) (cos (+ (* (/ 1/2 y) x) (PI)))) (- (cos (* (/ 1/2 y) x)) (cos (+ (* (/ 1/2 y) x) (PI)))) (/ (+ (- (cos (+ (* (/ x y) -1/2) (neg (PI)))) (cos (+ (* (/ 1/2 y) x) (PI)))) (- (cos (* (/ 1/2 y) x)) (cos (+ (* (/ 1/2 y) x) (PI))))) 2) (+ (- (cos (+ (* (/ x y) -1/2) (neg (PI)))) (cos (+ (* (/ 1/2 y) x) (PI)))) (- (cos (* (/ 1/2 y) x)) (cos (+ (* (/ 1/2 y) x) (PI))))) (PI) (- (/ x y) (PI)) (/ x y) (cos (* 1/2 (/ x y))) (/ 1 (cos (* 1/2 (/ x y)))) (sin (* (/ x y) -1/2)) (cos (* (/ 1/2 y) x)) (cos (+ (* (/ 1/2 y) x) (PI))) (cos (+ (* (/ x y) -1/2) (neg (PI)))))
9.0ms	x	@	-inf	((/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/ 1 (sin (+ (* -1/2 (/ x y)) (/ (PI) 2)))) (sin (+ (* -1/2 (/ x y)) (/ (PI) 2))) (+ (* -1/2 (/ x y)) (/ (PI) 2)) (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (+ (* (/ (* 1/8 x) y) (/ x y)) 1) (/ (* 1/8 x) y) (* 1/8 x) (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (pow (pow (cos (* -1/2 (/ x y))) -1/2) 2) (pow (cos (* -1/2 (/ x y))) -1/2) (sqrt (/ 1 (cos (* 1/2 (/ x y))))) (+ (* (sin (* (/ x y) -1/2)) (cos (+ (PI) (/ (PI) 2)))) (* (cos (* (/ 1/2 y) x)) -1)) (cos (+ (PI) (/ (PI) 2))) (/ -1 (+ (* (sin (* (/ x y) -1/2)) (cos (+ (PI) (/ (PI) 2)))) (* (cos (* (/ 1/2 y) x)) -1))) (* (cos (* (/ 1/2 y) x)) -1) (- (cos (+ (* (/ x y) -1/2) (neg (PI)))) (cos (+ (* (/ 1/2 y) x) (PI)))) (- (cos (* (/ 1/2 y) x)) (cos (+ (* (/ 1/2 y) x) (PI)))) (/ (+ (- (cos (+ (* (/ x y) -1/2) (neg (PI)))) (cos (+ (* (/ 1/2 y) x) (PI)))) (- (cos (* (/ 1/2 y) x)) (cos (+ (* (/ 1/2 y) x) (PI))))) 2) (+ (- (cos (+ (* (/ x y) -1/2) (neg (PI)))) (cos (+ (* (/ 1/2 y) x) (PI)))) (- (cos (* (/ 1/2 y) x)) (cos (+ (* (/ 1/2 y) x) (PI))))) (PI) (- (/ x y) (PI)) (/ x y) (cos (* 1/2 (/ x y))) (/ 1 (cos (* 1/2 (/ x y)))) (sin (* (/ x y) -1/2)) (cos (* (/ 1/2 y) x)) (cos (+ (* (/ 1/2 y) x) (PI))) (cos (+ (* (/ x y) -1/2) (neg (PI)))))
8.0ms	x	@	0	((/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/ 1 (sin (+ (* -1/2 (/ x y)) (/ (PI) 2)))) (sin (+ (* -1/2 (/ x y)) (/ (PI) 2))) (+ (* -1/2 (/ x y)) (/ (PI) 2)) (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (+ (* (/ (* 1/8 x) y) (/ x y)) 1) (/ (* 1/8 x) y) (* 1/8 x) (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (pow (pow (cos (* -1/2 (/ x y))) -1/2) 2) (pow (cos (* -1/2 (/ x y))) -1/2) (sqrt (/ 1 (cos (* 1/2 (/ x y))))) (+ (* (sin (* (/ x y) -1/2)) (cos (+ (PI) (/ (PI) 2)))) (* (cos (* (/ 1/2 y) x)) -1)) (cos (+ (PI) (/ (PI) 2))) (/ -1 (+ (* (sin (* (/ x y) -1/2)) (cos (+ (PI) (/ (PI) 2)))) (* (cos (* (/ 1/2 y) x)) -1))) (* (cos (* (/ 1/2 y) x)) -1) (- (cos (+ (* (/ x y) -1/2) (neg (PI)))) (cos (+ (* (/ 1/2 y) x) (PI)))) (- (cos (* (/ 1/2 y) x)) (cos (+ (* (/ 1/2 y) x) (PI)))) (/ (+ (- (cos (+ (* (/ x y) -1/2) (neg (PI)))) (cos (+ (* (/ 1/2 y) x) (PI)))) (- (cos (* (/ 1/2 y) x)) (cos (+ (* (/ 1/2 y) x) (PI))))) 2) (+ (- (cos (+ (* (/ x y) -1/2) (neg (PI)))) (cos (+ (* (/ 1/2 y) x) (PI)))) (- (cos (* (/ 1/2 y) x)) (cos (+ (* (/ 1/2 y) x) (PI))))) (PI) (- (/ x y) (PI)) (/ x y) (cos (* 1/2 (/ x y))) (/ 1 (cos (* 1/2 (/ x y)))) (sin (* (/ x y) -1/2)) (cos (* (/ 1/2 y) x)) (cos (+ (* (/ 1/2 y) x) (PI))) (cos (+ (* (/ x y) -1/2) (neg (PI)))))
6.0ms	y	@	inf	((/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/ 1 (sin (+ (* -1/2 (/ x y)) (/ (PI) 2)))) (sin (+ (* -1/2 (/ x y)) (/ (PI) 2))) (+ (* -1/2 (/ x y)) (/ (PI) 2)) (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (+ (* (/ (* 1/8 x) y) (/ x y)) 1) (/ (* 1/8 x) y) (* 1/8 x) (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (pow (pow (cos (* -1/2 (/ x y))) -1/2) 2) (pow (cos (* -1/2 (/ x y))) -1/2) (sqrt (/ 1 (cos (* 1/2 (/ x y))))) (+ (* (sin (* (/ x y) -1/2)) (cos (+ (PI) (/ (PI) 2)))) (* (cos (* (/ 1/2 y) x)) -1)) (cos (+ (PI) (/ (PI) 2))) (/ -1 (+ (* (sin (* (/ x y) -1/2)) (cos (+ (PI) (/ (PI) 2)))) (* (cos (* (/ 1/2 y) x)) -1))) (* (cos (* (/ 1/2 y) x)) -1) (- (cos (+ (* (/ x y) -1/2) (neg (PI)))) (cos (+ (* (/ 1/2 y) x) (PI)))) (- (cos (* (/ 1/2 y) x)) (cos (+ (* (/ 1/2 y) x) (PI)))) (/ (+ (- (cos (+ (* (/ x y) -1/2) (neg (PI)))) (cos (+ (* (/ 1/2 y) x) (PI)))) (- (cos (* (/ 1/2 y) x)) (cos (+ (* (/ 1/2 y) x) (PI))))) 2) (+ (- (cos (+ (* (/ x y) -1/2) (neg (PI)))) (cos (+ (* (/ 1/2 y) x) (PI)))) (- (cos (* (/ 1/2 y) x)) (cos (+ (* (/ 1/2 y) x) (PI))))) (PI) (- (/ x y) (PI)) (/ x y) (cos (* 1/2 (/ x y))) (/ 1 (cos (* 1/2 (/ x y)))) (sin (* (/ x y) -1/2)) (cos (* (/ 1/2 y) x)) (cos (+ (* (/ 1/2 y) x) (PI))) (cos (+ (* (/ x y) -1/2) (neg (PI)))))
6.0ms	x	@	inf	((/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/ 1 (sin (+ (* -1/2 (/ x y)) (/ (PI) 2)))) (sin (+ (* -1/2 (/ x y)) (/ (PI) 2))) (+ (* -1/2 (/ x y)) (/ (PI) 2)) (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (+ (* (/ (* 1/8 x) y) (/ x y)) 1) (/ (* 1/8 x) y) (* 1/8 x) (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (pow (pow (cos (* -1/2 (/ x y))) -1/2) 2) (pow (cos (* -1/2 (/ x y))) -1/2) (sqrt (/ 1 (cos (* 1/2 (/ x y))))) (+ (* (sin (* (/ x y) -1/2)) (cos (+ (PI) (/ (PI) 2)))) (* (cos (* (/ 1/2 y) x)) -1)) (cos (+ (PI) (/ (PI) 2))) (/ -1 (+ (* (sin (* (/ x y) -1/2)) (cos (+ (PI) (/ (PI) 2)))) (* (cos (* (/ 1/2 y) x)) -1))) (* (cos (* (/ 1/2 y) x)) -1) (- (cos (+ (* (/ x y) -1/2) (neg (PI)))) (cos (+ (* (/ 1/2 y) x) (PI)))) (- (cos (* (/ 1/2 y) x)) (cos (+ (* (/ 1/2 y) x) (PI)))) (/ (+ (- (cos (+ (* (/ x y) -1/2) (neg (PI)))) (cos (+ (* (/ 1/2 y) x) (PI)))) (- (cos (* (/ 1/2 y) x)) (cos (+ (* (/ 1/2 y) x) (PI))))) 2) (+ (- (cos (+ (* (/ x y) -1/2) (neg (PI)))) (cos (+ (* (/ 1/2 y) x) (PI)))) (- (cos (* (/ 1/2 y) x)) (cos (+ (* (/ 1/2 y) x) (PI))))) (PI) (- (/ x y) (PI)) (/ x y) (cos (* 1/2 (/ x y))) (/ 1 (cos (* 1/2 (/ x y)))) (sin (* (/ x y) -1/2)) (cos (* (/ 1/2 y) x)) (cos (+ (* (/ 1/2 y) x) (PI))) (cos (+ (* (/ x y) -1/2) (neg (PI)))))

simplify160.0ms (1.4%)

Memory

-6.2MiB live, 237.8MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1023	4513
1	3705	3923
0	8830	3727

Stop Event

1×	iter limit
1×	node limit

Counts

166 → 166

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 (sin (* 1/2 (PI))))
(+ (* 1/2 (/ (* x (cos (* 1/2 (PI)))) (* y (pow (sin (* 1/2 (PI))) 2)))) (/ 1 (sin (* 1/2 (PI)))))
(+ (* x (- (* x (- (* 1/8 (/ 1 (* (pow y 2) (sin (* 1/2 (PI)))))) (* -1/4 (/ (pow (cos (* 1/2 (PI))) 2) (* (pow y 2) (pow (sin (* 1/2 (PI))) 3)))))) (* -1/2 (/ (cos (* 1/2 (PI))) (* y (pow (sin (* 1/2 (PI))) 2)))))) (/ 1 (sin (* 1/2 (PI)))))
(+ (* x (- (* x (- (+ (* -1 (* x (+ (* -1/2 (/ (* (cos (* 1/2 (PI))) (- (* 1/8 (/ 1 (* (pow y 2) (sin (* 1/2 (PI)))))) (* -1/4 (/ (pow (cos (* 1/2 (PI))) 2) (* (pow y 2) (pow (sin (* 1/2 (PI))) 3)))))) (* y (sin (* 1/2 (PI)))))) (+ (* -1/16 (/ (cos (* 1/2 (PI))) (* (pow y 3) (pow (sin (* 1/2 (PI))) 2)))) (* 1/48 (/ (cos (* 1/2 (PI))) (* (pow y 3) (pow (sin (* 1/2 (PI))) 2)))))))) (* 1/8 (/ 1 (* (pow y 2) (sin (* 1/2 (PI))))))) (* -1/4 (/ (pow (cos (* 1/2 (PI))) 2) (* (pow y 2) (pow (sin (* 1/2 (PI))) 3)))))) (* -1/2 (/ (cos (* 1/2 (PI))) (* y (pow (sin (* 1/2 (PI))) 2)))))) (/ 1 (sin (* 1/2 (PI)))))
(sin (* 1/2 (PI)))
(+ (sin (* 1/2 (PI))) (* -1/2 (/ (* x (cos (* 1/2 (PI)))) y)))
(+ (sin (* 1/2 (PI))) (* x (+ (* -1/2 (/ (cos (* 1/2 (PI))) y)) (* -1/8 (/ (* x (sin (* 1/2 (PI)))) (pow y 2))))))
(+ (sin (* 1/2 (PI))) (* x (+ (* -1/2 (/ (cos (* 1/2 (PI))) y)) (* x (+ (* -1/8 (/ (sin (* 1/2 (PI))) (pow y 2))) (* 1/48 (/ (* x (cos (* 1/2 (PI)))) (pow y 3))))))))
(* 1/2 (PI))
(+ (* -1/2 (/ x y)) (* 1/2 (PI)))
(* 1/8 (/ x y))
(* 1/8 x)
(+ 1 (* 1/16 (/ (pow x 2) (pow y 2))))
(+ 1 (* (pow x 2) (+ (* 7/1536 (/ (pow x 2) (pow y 4))) (* 1/16 (/ 1 (pow y 2))))))
(+ 1 (* (pow x 2) (+ (* (pow x 2) (+ (* 139/368640 (/ (pow x 2) (pow y 6))) (* 7/1536 (/ 1 (pow y 4))))) (* 1/16 (/ 1 (pow y 2))))))
-1
(- (* -1/2 (/ (* x (cos (+ (PI) (* 1/2 (PI))))) y)) 1)
(- (* x (+ (* -1/2 (/ (cos (+ (PI) (* 1/2 (PI)))) y)) (* 1/8 (/ x (pow y 2))))) 1)
(- (* x (+ (* -1/2 (/ (cos (+ (PI) (* 1/2 (PI)))) y)) (* x (+ (* 1/48 (/ (* x (cos (+ (PI) (* 1/2 (PI))))) (pow y 3))) (* 1/8 (/ 1 (pow y 2))))))) 1)
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(+ (sin (* 1/2 (PI))) (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (* (pow x 2) (sin (* 1/2 (PI))))) (* 1/48 (/ (* (pow x 3) (cos (* 1/2 (PI)))) y))) y)) (* 1/2 (* x (cos (* 1/2 (PI)))))) y)))
(- (* -1 (/ (+ (* -1/8 (/ (pow x 2) y)) (* 1/2 (* x (cos (+ (PI) (* 1/2 (PI))))))) y)) 1)
(- (* -1 (/ (+ (* -1 (/ (+ (* 1/48 (/ (* (pow x 3) (cos (+ (PI) (* 1/2 (PI))))) y)) (* 1/8 (pow x 2))) y)) (* 1/2 (* x (cos (+ (PI) (* 1/2 (PI))))))) y)) 1)
(+ 1 (* -1 (/ (- (+ (* -1/4 (/ (* (pow x 2) (pow (cos (+ (PI) (* 1/2 (PI)))) 2)) y)) (* -1/8 (/ (pow x 2) y))) (* -1/2 (* x (cos (+ (PI) (* 1/2 (PI))))))) y)))
(+ 1 (* -1 (/ (- (* -1 (/ (- (+ (* -1/16 (/ (* (pow x 3) (cos (+ (PI) (* 1/2 (PI))))) y)) (+ (* 1/48 (/ (* (pow x 3) (cos (+ (PI) (* 1/2 (PI))))) y)) (* 1/2 (/ (* x (* (cos (+ (PI) (* 1/2 (PI)))) (+ (* -1/4 (* (pow x 2) (pow (cos (+ (PI) (* 1/2 (PI)))) 2))) (* -1/8 (pow x 2))))) y)))) (+ (* -1/4 (* (pow x 2) (pow (cos (+ (PI) (* 1/2 (PI)))) 2))) (* -1/8 (pow x 2)))) y)) (* -1/2 (* x (cos (+ (PI) (* 1/2 (PI))))))) y)))
(- (+ (cos (neg (PI))) (* -1 (/ (- (* -1/2 (* x (sin (PI)))) (* 1/2 (* x (sin (neg (PI)))))) y))) (cos (PI)))
(- (+ (cos (neg (PI))) (* -1 (/ (- (+ (* -1 (/ (- (* -1/8 (* (pow x 2) (cos (neg (PI))))) (* -1/8 (* (pow x 2) (cos (PI))))) y)) (* -1/2 (* x (sin (PI))))) (* 1/2 (* x (sin (neg (PI)))))) y))) (cos (PI)))
(- (+ (cos (neg (PI))) (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1 (/ (- (* 1/48 (* (pow x 3) (sin (PI)))) (* -1/48 (* (pow x 3) (sin (neg (PI)))))) y)) (* -1/8 (* (pow x 2) (cos (neg (PI)))))) (* -1/8 (* (pow x 2) (cos (PI))))) y)) (* -1/2 (* x (sin (PI))))) (* 1/2 (* x (sin (neg (PI)))))) y))) (cos (PI)))
(- (+ 1 (* -1 (/ (+ (* -1 (/ (- (* -1/8 (pow x 2)) (* -1/8 (* (pow x 2) (cos (PI))))) y)) (* -1/2 (* x (sin (PI))))) y))) (cos (PI)))
(- (+ 1 (* -1 (/ (+ (* -1 (/ (- (+ (* -1/8 (pow x 2)) (* -1/48 (/ (* (pow x 3) (sin (PI))) y))) (* -1/8 (* (pow x 2) (cos (PI))))) y)) (* -1/2 (* x (sin (PI))))) y))) (cos (PI)))
(+ (* 1/2 (- (+ 1 (cos (neg (PI)))) (* 2 (cos (PI))))) (* 1/2 (/ (+ (* 1/2 (* x (sin (neg (PI))))) (* x (sin (PI)))) y)))
(+ (* -1 (/ (+ (* -1/2 (+ (* 1/2 (* x (sin (neg (PI))))) (* x (sin (PI))))) (* -1/2 (/ (- (+ (* -1/8 (* (pow x 2) (cos (neg (PI))))) (* -1/8 (pow x 2))) (* -1/4 (* (pow x 2) (cos (PI))))) y))) y)) (* 1/2 (- (+ 1 (cos (neg (PI)))) (* 2 (cos (PI))))))
(+ (* -1 (/ (+ (* -1 (/ (+ (* 1/2 (- (+ (* -1/8 (* (pow x 2) (cos (neg (PI))))) (* -1/8 (pow x 2))) (* -1/4 (* (pow x 2) (cos (PI)))))) (* 1/2 (/ (+ (* -1/24 (* (pow x 3) (sin (PI)))) (* -1/48 (* (pow x 3) (sin (neg (PI)))))) y))) y)) (* -1/2 (+ (* 1/2 (* x (sin (neg (PI))))) (* x (sin (PI)))))) y)) (* 1/2 (- (+ 1 (cos (neg (PI)))) (* 2 (cos (PI))))))
(- (+ 1 (+ (cos (neg (PI))) (+ (* 1/2 (/ (* x (sin (neg (PI)))) y)) (/ (* x (sin (PI))) y)))) (* 2 (cos (PI))))
(- (+ 1 (+ (cos (neg (PI))) (* -1 (/ (- (* -1 (/ (- (+ (* -1/8 (* (pow x 2) (cos (neg (PI))))) (* -1/8 (pow x 2))) (* -1/4 (* (pow x 2) (cos (PI))))) y)) (+ (* 1/2 (* x (sin (neg (PI))))) (* x (sin (PI))))) y)))) (* 2 (cos (PI))))
(- (+ 1 (+ (cos (neg (PI))) (* -1 (/ (- (* -1 (/ (- (+ (* -1/8 (* (pow x 2) (cos (neg (PI))))) (+ (* -1/8 (pow x 2)) (+ (* -1/24 (/ (* (pow x 3) (sin (PI))) y)) (* -1/48 (/ (* (pow x 3) (sin (neg (PI)))) y))))) (* -1/4 (* (pow x 2) (cos (PI))))) y)) (+ (* 1/2 (* x (sin (neg (PI))))) (* x (sin (PI))))) y)))) (* 2 (cos (PI))))
(* -1 (/ (+ (* -1/48 (/ (pow x 3) (pow y 2))) (* 1/2 x)) y))
(* -1 (/ (+ (* -1/48 (/ (pow x 3) (pow y 2))) (+ (* 1/3840 (/ (pow x 5) (pow y 4))) (* 1/2 x))) 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)))) 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)))
(+ (cos (neg (PI))) (* -1 (/ (- (* 1/8 (/ (* (pow x 2) (cos (neg (PI)))) y)) (* 1/2 (* x (sin (neg (PI)))))) y)))
(+ (cos (neg (PI))) (* -1 (/ (- (* -1 (/ (+ (* -1/8 (* (pow x 2) (cos (neg (PI))))) (* -1/48 (/ (* (pow x 3) (sin (neg (PI)))) y))) y)) (* 1/2 (* x (sin (neg (PI)))))) 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))
(+ 1 (* (pow x 2) (+ (* 5/384 (/ (pow x 2) (pow y 4))) (* 1/8 (/ 1 (pow y 2))))))
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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))))))
(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 (sin (* 1/2 (PI))))
(/.f64 #s(literal 1 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))))
(+ (* 1/2 (/ (* x (cos (* 1/2 (PI)))) (* y (pow (sin (* 1/2 (PI))) 2)))) (/ 1 (sin (* 1/2 (PI)))))
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-1
#s(literal -1 binary64)
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#s(literal 0 binary64)
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#s(literal 0 binary64)
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#s(literal 0 binary64)
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#s(literal 0 binary64)
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#s(literal 2 binary64)
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#s(literal 2 binary64)
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#s(literal 1 binary64)
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#s(literal 1 binary64)
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(* -1 (/ (+ (* -1/48 (/ (pow x 3) (pow y 2))) (* 1/2 x)) 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 (/ (+ (* -1/48 (/ (pow x 3) (pow y 2))) (+ (* 1/3840 (/ (pow x 5) (pow y 4))) (* 1/2 x))) y))
(/.f64 (fma.f64 (/.f64 #s(literal -1/48 binary64) y) (/.f64 (pow.f64 x #s(literal 3 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))) (neg.f64 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)))) y))
(/.f64 (fma.f64 (/.f64 (pow.f64 x #s(literal 7 binary64)) (pow.f64 y #s(literal 6 binary64))) #s(literal -1/645120 binary64) (fma.f64 (/.f64 #s(literal -1/48 binary64) y) (/.f64 (pow.f64 x #s(literal 3 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)))) (neg.f64 y))
(+ (cos (PI)) (* -1 (/ (- (* 1/8 (/ (* (pow x 2) (cos (PI))) y)) (* -1/2 (* x (sin (PI))))) y)))
(-.f64 #s(literal -1 binary64) (/.f64 (fma.f64 (/.f64 (*.f64 (neg.f64 x) x) y) #s(literal 1/8 binary64) #s(literal 0 binary64)) 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)))
(-.f64 #s(literal -1 binary64) (/.f64 (fma.f64 (/.f64 (fma.f64 (*.f64 (neg.f64 x) x) #s(literal -1/8 binary64) #s(literal 0 binary64)) y) #s(literal -1 binary64) #s(literal 0 binary64)) y))
(+ (cos (neg (PI))) (* -1 (/ (- (* 1/8 (/ (* (pow x 2) (cos (neg (PI)))) y)) (* 1/2 (* x (sin (neg (PI)))))) y)))
(-.f64 #s(literal -1 binary64) (/.f64 (fma.f64 (/.f64 (*.f64 (neg.f64 x) x) y) #s(literal 1/8 binary64) #s(literal 0 binary64)) y))
(+ (cos (neg (PI))) (* -1 (/ (- (* -1 (/ (+ (* -1/8 (* (pow x 2) (cos (neg (PI))))) (* -1/48 (/ (* (pow x 3) (sin (neg (PI)))) y))) y)) (* 1/2 (* x (sin (neg (PI)))))) y)))
(-.f64 #s(literal -1 binary64) (/.f64 (fma.f64 (/.f64 (fma.f64 (*.f64 (neg.f64 x) x) #s(literal -1/8 binary64) #s(literal 0 binary64)) y) #s(literal -1 binary64) #s(literal 0 binary64)) y))

rewrite280.0ms (2.5%)

Memory

0.4MiB live, 319.9MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	59	414
0	95	384
1	390	369
2	3486	362
0	8358	355

Stop Event

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

Counts

29 → 931

Calls

Call 1

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

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

eval233.0ms (2.1%)

Memory: 2.8MiB live, 258.8MiB allocated
Compiler: Compiled 58 413 to 5 827 computations (90% saved)

prune140.0ms (1.2%)

Memory

-10.1MiB live, 183.4MiB allocated

Pruning

65 alts after pruning (57 fresh and 8 done)

	Pruned	Kept	Total
New	911	26	937
Fresh	7	31	38
Picked	2	3	5
Done	0	5	5
Total	920	65	985

Accuracy

61.3%

Counts

985 → 65

Alt Table

Click to see full alt table

Status	Accuracy	Program
	4.6%	(/.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)))))
	4.1%	(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x y))) (*.f64 (sin.f64 (/.f64 x y)) (sin.f64 (/.f64 (/.f64 x 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))))
✓	42.0%	(/.f64 (tan.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))))
	34.9%	(/.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)))
	8.0%	(/.f64 #s(approx (tan (/ x (* y 2))) (/.f64 (-.f64 (.f64 (sin.f64 (.f64 (/.f64 x y) #s(literal -1/2 binary64))) #s(literal -1 binary64)) (.f64 (cos.f64 (.f64 (/.f64 #s(literal 1/2 binary64) y) x)) (sin.f64 (neg.f64 (PI.f64))))) (cos.f64 (.f64 (/.f64 #s(literal 1/2 binary64) y) x)))) (sin.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))))
	8.2%	(/.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)))) (-.f64 (.f64 (sin.f64 (/.f64 (/.f64 x y) #s(literal -2 binary64))) #s(literal -1 binary64)) (.f64 (cos.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64))) (sin.f64 (neg.f64 (PI.f64))))))
	7.3%	(/.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 (/.f64 (/.f64 x y) #s(literal -2 binary64)) (PI.f64))))
	7.1%	(/.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)))) (cos.f64 (/.f64 (+.f64 (/.f64 (neg.f64 x) y) (PI.f64)) #s(literal 2 binary64))))
	42.0%	(/.f64 #s(approx (tan (/ x (* y 2))) (/.f64 (sin.f64 (.f64 (/.f64 #s(literal 1/2 binary64) y) x)) #s(approx (cos ( (/ 1/2 y) x)) (cos.f64 (.f64 #s(literal 1/2 binary64) (/.f64 x y)))))) (sin.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))))
	41.4%	(/.f64 #s(approx (tan (/ x (* y 2))) (/.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) (/.f64 x y))) (cos.f64 (.f64 #s(literal 1/2 binary64) (/.f64 x y))))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
	7.6%	(/.f64 #s(approx (tan (/ x (* y 2))) (/.f64 (cos.f64 (fma.f64 (/.f64 x y) #s(literal -1/2 binary64) (/.f64 (PI.f64) #s(literal 2 binary64)))) (cos.f64 (.f64 (/.f64 #s(literal 1/2 binary64) y) x)))) (sin.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))))
	41.8%	(/.f64 #s(approx (tan (/ x (* y 2))) (tan.f64 (.f64 (/.f64 #s(literal 1/2 binary64) y) x))) (sin.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))))
✓	7.2%	#s(approx (/ (tan (/ (/ x y) -2)) (sin (/ x (* y 2)))) #s(literal -1 binary64))
	45.8%	#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (fma.f64 (.f64 #s(literal 1/8 binary64) x) (/.f64 x (.f64 y y)) #s(literal 1 binary64)))
	50.1%	#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (pow.f64 (pow.f64 (cos.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)) #s(literal -1/4 binary64)) #s(literal 4 binary64)))
	50.0%	#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (pow.f64 #s(approx (pow (cos (* -1/2 (/ x y))) -1/2) (/.f64 #s(literal 1 binary64) (sqrt.f64 (cos.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x))))) #s(literal 2 binary64)))
	50.1%	#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (pow.f64 #s(approx (pow (cos (* -1/2 (/ x y))) -1/2) (sqrt.f64 (/.f64 #s(literal 1 binary64) (sin.f64 (fma.f64 (/.f64 x y) #s(literal -1/2 binary64) (/.f64 (PI.f64) #s(literal 2 binary64))))))) #s(literal 2 binary64)))
✓	50.1%	#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (pow.f64 #s(approx (pow (cos (* -1/2 (/ x y))) -1/2) (sqrt.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y)))))) #s(literal 2 binary64)))
	53.1%	#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 2 binary64) (*.f64 (sin.f64 (/.f64 (-.f64 (fma.f64 (/.f64 x y) #s(literal -1/2 binary64) (/.f64 (PI.f64) #s(literal 2 binary64))) (fma.f64 (/.f64 #s(literal 1/2 binary64) y) x (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)))) #s(literal 2 binary64))) (cos.f64 (/.f64 (+.f64 (fma.f64 (/.f64 x y) #s(literal -1/2 binary64) (/.f64 (PI.f64) #s(literal 2 binary64))) (fma.f64 (/.f64 #s(literal 1/2 binary64) y) x (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)))) #s(literal 2 binary64)))) (-.f64 (cos.f64 (fma.f64 (/.f64 x y) #s(literal -1/2 binary64) (PI.f64))) (cos.f64 (fma.f64 (/.f64 x y) #s(literal -1/2 binary64) (PI.f64))))) #s(literal 2 binary64))))
	49.9%	#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 2 binary64) (*.f64 (sin.f64 (/.f64 (-.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))))) #s(literal 2 binary64))) (cos.f64 (/.f64 (+.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))))) #s(literal 2 binary64)))) (-.f64 (cos.f64 (fma.f64 (/.f64 x y) #s(literal -1/2 binary64) (PI.f64))) (cos.f64 (fma.f64 (/.f64 x y) #s(literal -1/2 binary64) (PI.f64))))) #s(literal 2 binary64))))
	49.9%	#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal -2 binary64) (.f64 (sin.f64 (/.f64 (-.f64 (.f64 (/.f64 x y) #s(literal -1/2 binary64)) (fma.f64 (/.f64 #s(literal 1/2 binary64) y) x (PI.f64))) #s(literal 2 binary64))) (sin.f64 (/.f64 (fma.f64 (/.f64 x y) #s(literal -1/2 binary64) (fma.f64 (/.f64 #s(literal 1/2 binary64) y) x (PI.f64))) #s(literal 2 binary64)))) (-.f64 (cos.f64 (fma.f64 (/.f64 x y) #s(literal -1/2 binary64) (PI.f64))) (cos.f64 (fma.f64 (/.f64 x y) #s(literal -1/2 binary64) (PI.f64))))) #s(literal 2 binary64))))
	52.2%	#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal -2 binary64) (.f64 (sin.f64 (/.f64 (-.f64 (.f64 (/.f64 #s(literal 1/2 binary64) y) x) (fma.f64 (/.f64 x y) #s(literal -1/2 binary64) (PI.f64))) #s(literal 2 binary64))) (sin.f64 (/.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) y) x (fma.f64 (/.f64 x y) #s(literal -1/2 binary64) (PI.f64))) #s(literal 2 binary64)))) (-.f64 (cos.f64 (fma.f64 (/.f64 x y) #s(literal -1/2 binary64) (PI.f64))) (cos.f64 (fma.f64 (/.f64 x y) #s(literal -1/2 binary64) (PI.f64))))) #s(literal 2 binary64))))
	50.1%	#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (-.f64 (cos.f64 (fma.f64 (/.f64 x y) #s(literal -1/2 binary64) (neg.f64 (PI.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)) (pow.f64 (cos.f64 (fma.f64 (/.f64 x y) #s(literal -1/2 binary64) (PI.f64))) #s(literal 3 binary64))) (+.f64 (-.f64 (pow.f64 (cos.f64 (.f64 (/.f64 #s(literal 1/2 binary64) y) x)) #s(literal 2 binary64)) (pow.f64 (cos.f64 (.f64 (/.f64 #s(literal 1/2 binary64) y) x)) #s(literal 2 binary64))) (pow.f64 (cos.f64 (.f64 (/.f64 #s(literal 1/2 binary64) y) x)) #s(literal 2 binary64))))) #s(literal 2 binary64))))
	50.1%	#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (-.f64 (cos.f64 (fma.f64 (/.f64 x y) #s(literal -1/2 binary64) (neg.f64 (PI.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 (-.f64 (pow.f64 (cos.f64 (.f64 (/.f64 #s(literal 1/2 binary64) y) x)) #s(literal 2 binary64)) (pow.f64 (cos.f64 (.f64 (/.f64 #s(literal 1/2 binary64) y) x)) #s(literal 2 binary64))) (pow.f64 (cos.f64 (.f64 (/.f64 #s(literal 1/2 binary64) y) x)) #s(literal 2 binary64)))) (/.f64 (pow.f64 (cos.f64 (fma.f64 (/.f64 x y) #s(literal -1/2 binary64) (PI.f64))) #s(literal 3 binary64)) (+.f64 (-.f64 (pow.f64 (cos.f64 (.f64 (/.f64 #s(literal 1/2 binary64) y) x)) #s(literal 2 binary64)) (pow.f64 (cos.f64 (.f64 (/.f64 #s(literal 1/2 binary64) y) x)) #s(literal 2 binary64))) (pow.f64 (cos.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)) #s(literal 2 binary64)))))) #s(literal 2 binary64))))
	51.1%	#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (-.f64 (cos.f64 (fma.f64 (/.f64 x y) #s(literal -1/2 binary64) (neg.f64 (PI.f64)))) (cos.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) y) x (PI.f64)))) (-.f64 (cos.f64 (.f64 (/.f64 #s(literal 1/2 binary64) y) x)) #s(approx (cos (+ ( (/ 1/2 y) x) (PI))) #s(literal -1 binary64)))) #s(literal 2 binary64))))
	53.0%	#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (-.f64 (cos.f64 (fma.f64 (/.f64 x y) #s(literal -1/2 binary64) (neg.f64 (PI.f64)))) (cos.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) y) x (PI.f64)))) (.f64 #s(literal 2 binary64) (.f64 (sin.f64 (/.f64 (-.f64 (fma.f64 (/.f64 x y) #s(literal -1/2 binary64) (/.f64 (PI.f64) #s(literal 2 binary64))) (fma.f64 (/.f64 #s(literal 1/2 binary64) y) x (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)))) #s(literal 2 binary64))) (cos.f64 (/.f64 (+.f64 (fma.f64 (/.f64 x y) #s(literal -1/2 binary64) (/.f64 (PI.f64) #s(literal 2 binary64))) (fma.f64 (/.f64 #s(literal 1/2 binary64) y) x (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)))) #s(literal 2 binary64)))))) #s(literal 2 binary64))))
	52.2%	#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (-.f64 (cos.f64 (fma.f64 (/.f64 x y) #s(literal -1/2 binary64) (neg.f64 (PI.f64)))) (cos.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) y) x (PI.f64)))) (.f64 #s(literal 2 binary64) (.f64 (sin.f64 (/.f64 (-.f64 (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 (/.f64 (PI.f64) #s(literal 2 binary64)) (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))) (fma.f64 (/.f64 x y) #s(literal -1/2 binary64) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)))) #s(literal 2 binary64)))))) #s(literal 2 binary64))))
	52.5%	#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (-.f64 (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)))) (+.f64 (sin.f64 (-.f64 (.f64 (/.f64 x y) #s(literal -1/2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64)))) (cos.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)))) #s(literal 2 binary64))))
	50.2%	#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (-.f64 #s(approx (cos (+ (* (/ x y) -1/2) (neg (PI)))) (cos.f64 (fma.f64 (/.f64 x y) #s(literal -1/2 binary64) (PI.f64)))) (cos.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) y) x (PI.f64)))) (-.f64 (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))))
	51.8%	#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (-.f64 #s(approx (cos (+ (* (/ x y) -1/2) (neg (PI)))) #s(literal -1 binary64)) (cos.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) y) x (PI.f64)))) (-.f64 (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))))
	50.2%	#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (.f64 #s(literal -2 binary64) (.f64 (sin.f64 (/.f64 (-.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) y) x (PI.f64)) (fma.f64 (/.f64 x y) #s(literal -1/2 binary64) (PI.f64))) #s(literal 2 binary64))) (sin.f64 (/.f64 (+.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) y) x (PI.f64)) (fma.f64 (/.f64 x y) #s(literal -1/2 binary64) (PI.f64))) #s(literal 2 binary64))))) (-.f64 (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))))
	52.1%	#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) #s(literal 2 binary64))))))
	52.4%	#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))))))
	52.6%	#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))))))
	49.8%	#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (sin.f64 (/.f64 (fma.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)) #s(literal -1/8 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 #s(literal 1/2 binary64) y) x) #s(literal 2 binary64)) (/.f64 (.f64 (*.f64 (/.f64 x y) #s(literal -1/2 binary64)) (PI.f64)) #s(literal 2 binary64))))))))
	49.9%	#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (sin.f64 #s(approx (+ (* -1/2 (/ x y)) (/ (PI) 2)) (*.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)) (pow.f64 (PI.f64) #s(literal 3 binary64))) (fma.f64 (PI.f64) (+.f64 (PI.f64) (/.f64 x y)) (pow.f64 (/.f64 x y) #s(literal 2 binary64)))))))))
	50.6%	#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (sin.f64 #s(approx (+ (* -1/2 (/ x y)) (/ (PI) 2)) (.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) (.f64 (PI.f64) (PI.f64))) (+.f64 (PI.f64) (/.f64 x y))))))))
✓	53.0%	#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (sin.f64 #s(approx (+ (* -1/2 (/ x y)) (/ (PI) 2)) (*.f64 #s(literal -1/2 binary64) (-.f64 (/.f64 x y) (PI.f64)))))))
	53.0%	#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) x) y))))
	52.6%	#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 (fma.f64 (neg.f64 x) (/.f64 #s(literal 1/2 binary64) y) (PI.f64)) (PI.f64)))))
✓	52.6%	#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))))
	52.6%	#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 (PI.f64))) (cos.f64 (+.f64 (PI.f64) (/.f64 (PI.f64) #s(literal 2 binary64)))) (.f64 (cos.f64 (.f64 (/.f64 #s(literal 1/2 binary64) y) x)) #s(literal -1 binary64)))))
	52.6%	#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal -1 binary64) (fma.f64 (sin.f64 (.f64 (/.f64 x y) #s(literal -1/2 binary64))) (cos.f64 (+.f64 (.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (cbrt.f64 (PI.f64))) (/.f64 (PI.f64) #s(literal 2 binary64)))) (.f64 (cos.f64 (.f64 (/.f64 #s(literal 1/2 binary64) y) x)) #s(literal -1 binary64)))))
✓	52.6%	#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal -1 binary64) (fma.f64 (sin.f64 (.f64 (/.f64 x y) #s(literal -1/2 binary64))) (cos.f64 (+.f64 (PI.f64) (/.f64 (PI.f64) #s(literal 2 binary64)))) (.f64 (cos.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)) #s(literal -1 binary64)))))
	52.6%	#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal -1 binary64) (fma.f64 (cos.f64 (.f64 (/.f64 #s(literal 1/2 binary64) y) x)) #s(literal -1 binary64) (.f64 (sin.f64 (*.f64 (/.f64 x y) #s(literal -1/2 binary64))) (sin.f64 (neg.f64 (PI.f64)))))))
	49.9%	#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) (cos.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)) (cos.f64 (fma.f64 (/.f64 x y) #s(literal -1/2 binary64) (PI.f64)))) #s(literal 2 binary64))))
	52.2%	#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal -1 binary64) (/.f64 (-.f64 (pow.f64 (cos.f64 (.f64 (/.f64 #s(literal 1/2 binary64) y) x)) #s(literal 2 binary64)) (pow.f64 (.f64 #s(literal 0 binary64) (sin.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x))) #s(literal 2 binary64))) (cos.f64 (fma.f64 (/.f64 x y) #s(literal -1/2 binary64) (PI.f64))))))
	52.3%	#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal -1 binary64) (/.f64 (-.f64 (+.f64 (cos.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) y) x (PI.f64))) (cos.f64 (fma.f64 (/.f64 x y) #s(literal -1/2 binary64) (neg.f64 (PI.f64))))) (+.f64 (sin.f64 (-.f64 (.f64 (/.f64 x y) #s(literal -1/2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64)))) (cos.f64 (.f64 (/.f64 #s(literal 1/2 binary64) y) x)))) #s(literal 2 binary64))))
	52.3%	#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal -1 binary64) (/.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)))) (-.f64 (cos.f64 (fma.f64 (/.f64 x y) #s(literal -1/2 binary64) (neg.f64 (PI.f64)))) (cos.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) y) x (PI.f64))))) #s(literal 2 binary64))))
	52.4%	#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal -1 binary64) (/.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)))) (+.f64 (sin.f64 (-.f64 (.f64 (/.f64 x y) #s(literal -1/2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64)))) (cos.f64 (.f64 (/.f64 #s(literal 1/2 binary64) y) x)))) #s(literal 2 binary64))))
	52.2%	#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal -1 binary64) (-.f64 (cos.f64 (fma.f64 (/.f64 x y) #s(literal -1/2 binary64) (PI.f64))) (.f64 (sin.f64 (.f64 (/.f64 #s(literal 1/2 binary64) y) x)) (sin.f64 (neg.f64 (neg.f64 (PI.f64))))))))
	52.1%	#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal -1 binary64) (sin.f64 (+.f64 (+.f64 (+.f64 (PI.f64) (fma.f64 (/.f64 x y) #s(literal -1/2 binary64) (/.f64 (PI.f64) #s(literal 2 binary64)))) (PI.f64)) (PI.f64)))))
	52.5%	#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal -1 binary64) (cos.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) y) x (PI.f64)))))
✓	52.2%	#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)))))
	49.5%	#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal -1 binary64) (cos.f64 (/.f64 (fma.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)) #s(literal -1/8 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 x y) #s(literal -1/2 binary64)) (PI.f64))))))))
	49.9%	#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal -1 binary64) (cos.f64 (/.f64 (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/4 binary64) (*.f64 (neg.f64 (PI.f64)) (PI.f64))) (fma.f64 (/.f64 x y) #s(literal -1/2 binary64) (neg.f64 (PI.f64)))))))
	49.4%	#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal -1 binary64) (cos.f64 (/.f64 (-.f64 (.f64 (pow.f64 (.f64 (/.f64 #s(literal 1/2 binary64) y) x) #s(literal 2 binary64)) (fma.f64 (/.f64 x y) #s(literal -1/2 binary64) (neg.f64 (PI.f64)))) (.f64 (fma.f64 (/.f64 x y) #s(literal -1/2 binary64) (neg.f64 (PI.f64))) (.f64 (PI.f64) (PI.f64)))) (*.f64 (fma.f64 (/.f64 x y) #s(literal -1/2 binary64) (neg.f64 (PI.f64))) (fma.f64 (/.f64 x y) #s(literal -1/2 binary64) (neg.f64 (PI.f64))))))))
	52.2%	#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal -1 binary64) #s(approx (+ (* (sin (* (/ x y) -1/2)) (cos (+ (PI) (/ (PI) 2)))) (* (cos (* (/ 1/2 y) x)) -1)) (fma.f64 (sin.f64 (.f64 (/.f64 x y) #s(literal -1/2 binary64))) (cos.f64 (.f64 #s(literal -3/2 binary64) (PI.f64))) (cos.f64 (fma.f64 (/.f64 x y) #s(literal -1/2 binary64) (PI.f64)))))))
	46.4%	#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal -1 binary64) #s(approx (cos (+ (* -1/2 (/ x y)) (PI))) (fma.f64 (fma.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 y y)) x #s(literal 0 binary64)) x #s(literal -1 binary64)))))
	50.1%	#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (.f64 (pow.f64 (sin.f64 #s(approx (+ ( -1/2 (/ x y)) (/ (PI) 2)) (.f64 (-.f64 (/.f64 x y) (PI.f64)) #s(literal -1/2 binary64)))) #s(literal -1/2 binary64)) (pow.f64 (sin.f64 #s(approx (+ ( -1/2 (/ x y)) (/ (PI) 2)) (*.f64 (-.f64 (/.f64 x y) (PI.f64)) #s(literal -1/2 binary64)))) #s(literal -1/2 binary64))))
	52.2%	#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (.f64 (/.f64 #s(literal -1 binary64) (.f64 (cos.f64 (fma.f64 (/.f64 x y) #s(literal -1/2 binary64) (PI.f64))) (neg.f64 (cos.f64 (fma.f64 (/.f64 x y) #s(literal -1/2 binary64) (PI.f64)))))) (neg.f64 (cos.f64 (fma.f64 (/.f64 x y) #s(literal -1/2 binary64) (PI.f64))))))
	49.7%	#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (exp.f64 (*.f64 (log.f64 (neg.f64 (cos.f64 (fma.f64 (/.f64 x y) #s(literal -1/2 binary64) (PI.f64))))) #s(literal -1 binary64))))
✓	53.4%	#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(literal 1 binary64))

Compiler

Compiled 5 967 to 2 137 computations (64.2% saved)

regimes165.0ms (1.5%)

Memory

24.9MiB live, 255.7MiB allocated

Counts

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

Outputs

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

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

Calls

5 calls:

54.0ms	(/.f64 x (*.f64 y #s(literal 2 binary64)))
28.0ms	(/.f64 (tan.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))))
28.0ms	y
25.0ms	(*.f64 y #s(literal 2 binary64))
25.0ms	x

Results

Accuracy	Segments	Branch
53.4%	1	`x`
55.1%	2	`y`
55.2%	2	`(/.f64 (tan.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))))`
55.5%	2	`(/.f64 x (*.f64 y #s(literal 2 binary64)))`
55.1%	2	`(*.f64 y #s(literal 2 binary64))`

Compiler

Compiled 23 to 21 computations (8.7% saved)

regimes30.0ms (0.3%)

Memory

7.7MiB live, 92.7MiB allocated

Counts

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

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

Calls

1 calls:

25.0ms

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

Results

Accuracy	Segments	Branch
55.4%	2	`(/.f64 x (*.f64 y #s(literal 2 binary64)))`

Compiler

Compiled 5 to 5 computations (0% saved)

regimes7.0ms (0.1%)

Memory

21.1MiB live, 21.1MiB allocated

Counts

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

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

2 calls:

3.0ms	(/.f64 x (*.f64 y #s(literal 2 binary64)))
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
53.4%	1	`(/.f64 (tan.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))))`
55.1%	2	`(/.f64 x (*.f64 y #s(literal 2 binary64)))`

Compiler

Compiled 18 to 13 computations (27.8% saved)

regimes48.0ms (0.4%)

Memory

-66.0MiB live, 10.5MiB 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 (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (fma.f64 (.f64 #s(literal 1/8 binary64) x) (/.f64 x (.f64 y y)) #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)))) (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) #s(approx (cos (+ (* -1/2 (/ x y)) (PI))) (fma.f64 (fma.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 y y)) 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)))))

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

Calls

3 calls:

41.0ms	(/.f64 x (*.f64 y #s(literal 2 binary64)))
3.0ms	(*.f64 y #s(literal 2 binary64))
3.0ms	y

Results

Accuracy	Segments	Branch
53.4%	1	`y`
53.4%	1	`(*.f64 y #s(literal 2 binary64))`
53.4%	1	`(/.f64 x (*.f64 y #s(literal 2 binary64)))`

Compiler

Compiled 9 to 11 computations (-22.2% saved)

regimes7.0ms (0.1%)

Memory

9.2MiB live, 9.2MiB 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:

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

Results

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

Compiler

Compiled 23 to 21 computations (8.7% saved)

bsearch1.0ms (0%)

Memory

0.4MiB live, 0.4MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	2.4287612502764945e+215	4.646496363504491e+215

Compiler

Compiled 12 to 13 computations (-8.3% saved)

bsearch1.0ms (0%)

Memory

0.4MiB live, 0.4MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	8.469641105243033e+107	3.840294890899907e+116

Compiler

Compiled 12 to 13 computations (-8.3% saved)

bsearch0.0ms (0%)

Memory

0.2MiB live, 0.2MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	4.4495212707222755e+72	6.489145613094344e+74

Compiler

Compiled 12 to 13 computations (-8.3% saved)

simplify83.0ms (0.7%)

Memory

-10.6MiB live, 85.0MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	65	211
1	86	211
2	109	211
3	135	211
4	166	211
5	222	211
6	326	211
7	643	211
8	1408	211
9	3140	211
10	6496	211

Stop Event

1×	node limit

Calls

Call 1

Inputs
(if (<=.f64 (/.f64 x (.f64 y #s(literal 2 binary64))) #s(literal 399999999999999962641587745804197630611156385557608425274760676056923309670061360733948977521192427310072204144061657051151051518511216662595736936892867794611623975682187619988523302767163015663302147094413895008256 binary64)) #s(approx (/ (tan (/ x ( y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (-.f64 (cos.f64 (fma.f64 (/.f64 x y) #s(literal -1/2 binary64) (neg.f64 (PI.f64)))) (cos.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) y) x (PI.f64)))) (.f64 #s(literal 2 binary64) (.f64 (sin.f64 (/.f64 (-.f64 (fma.f64 (/.f64 x y) #s(literal -1/2 binary64) (/.f64 (PI.f64) #s(literal 2 binary64))) (fma.f64 (/.f64 #s(literal 1/2 binary64) y) x (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)))) #s(literal 2 binary64))) (cos.f64 (/.f64 (+.f64 (fma.f64 (/.f64 x y) #s(literal -1/2 binary64) (/.f64 (PI.f64) #s(literal 2 binary64))) (fma.f64 (/.f64 #s(literal 1/2 binary64) y) x (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)))) #s(literal 2 binary64)))))) #s(literal 2 binary64)))) #s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(literal 1 binary64)))
(if (<=.f64 (/.f64 x (.f64 y #s(literal 2 binary64))) #s(literal 1000000000000000033998991713002824594943974719712898047713430714837875271723200833292741616380733445921308672 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) x) y)))) #s(approx (/ (tan (/ (/ x y) -2)) (sin (/ x ( y 2)))) #s(literal -1 binary64)))
(if (<=.f64 (/.f64 x (.f64 y #s(literal 2 binary64))) #s(literal 4999999999999999915168483974806628990154540120342328160919227099783364608 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 399999999999999962641587745804197630611156385557608425274760676056923309670061360733948977521192427310072204144061657051151051518511216662595736936892867794611623975682187619988523302767163015663302147094413895008256 binary64)) #s(approx (/ (tan (/ x ( y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (-.f64 (cos.f64 (fma.f64 (/.f64 x y) #s(literal -1/2 binary64) (neg.f64 (PI.f64)))) (cos.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) y) x (PI.f64)))) (.f64 #s(literal 2 binary64) (.f64 (sin.f64 (/.f64 (-.f64 (fma.f64 (/.f64 x y) #s(literal -1/2 binary64) (/.f64 (PI.f64) #s(literal 2 binary64))) (fma.f64 (/.f64 #s(literal 1/2 binary64) y) x (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)))) #s(literal 2 binary64))) (cos.f64 (/.f64 (+.f64 (fma.f64 (/.f64 x y) #s(literal -1/2 binary64) (/.f64 (PI.f64) #s(literal 2 binary64))) (fma.f64 (/.f64 #s(literal 1/2 binary64) y) x (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)))) #s(literal 2 binary64)))))) #s(literal 2 binary64)))) #s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(literal 1 binary64)))
(if (<=.f64 (/.f64 x (.f64 y #s(literal 2 binary64))) #s(literal 399999999999999962641587745804197630611156385557608425274760676056923309670061360733948977521192427310072204144061657051151051518511216662595736936892867794611623975682187619988523302767163015663302147094413895008256 binary64)) #s(approx (/ (tan (/ x ( y 2))) (sin (/ x (* y 2)))) (pow.f64 (/.f64 (+.f64 (-.f64 (cos.f64 (fma.f64 (/.f64 x y) #s(literal -1/2 binary64) (neg.f64 (PI.f64)))) (cos.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) y) x (PI.f64)))) (.f64 #s(literal 2 binary64) (.f64 (sin.f64 (/.f64 (-.f64 (fma.f64 (/.f64 x y) #s(literal -1/2 binary64) (/.f64 (PI.f64) #s(literal 2 binary64))) (fma.f64 (/.f64 #s(literal 1/2 binary64) y) x (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)))) #s(literal 2 binary64))) (cos.f64 (/.f64 (+.f64 (fma.f64 (/.f64 x y) #s(literal -1/2 binary64) (/.f64 (PI.f64) #s(literal 2 binary64))) (fma.f64 (/.f64 #s(literal 1/2 binary64) y) x (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)))) #s(literal 2 binary64)))))) #s(literal 2 binary64)) #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 1000000000000000033998991713002824594943974719712898047713430714837875271723200833292741616380733445921308672 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) x) y)))) #s(approx (/ (tan (/ (/ x y) -2)) (sin (/ x ( y 2)))) #s(literal -1 binary64)))
(if (<=.f64 (/.f64 x (.f64 y #s(literal 2 binary64))) #s(literal 1000000000000000033998991713002824594943974719712898047713430714837875271723200833292741616380733445921308672 binary64)) #s(approx (/ (tan (/ x ( y 2))) (sin (/ x (* y 2)))) (pow.f64 (cos.f64 (/.f64 (.f64 #s(literal 1/2 binary64) x) y)) #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 4999999999999999915168483974806628990154540120342328160919227099783364608 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 4999999999999999915168483974806628990154540120342328160919227099783364608 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)

soundness2.4s (21.5%)

Memory

25.7MiB live, 830.4MiB allocated

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	484	3190
1	1523	3058
2	6082	3000
0	8194	2810
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	59	414
0	95	384
1	390	369
2	3486	362
0	8358	355
0	34	168
0	56	168
1	146	168
2	704	168
3	7818	168
0	8028	168
0	44	245
0	68	209
1	196	209
2	1068	209
0	8237	209

Stop Event

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

Compiler

Compiled 335 to 158 computations (52.8% saved)

preprocess110.0ms (1%)

Memory: 2.7MiB live, 192.3MiB allocated
Compiler: Compiled 932 to 360 computations (61.4% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze371.0ms (3.3%)

sample2.5s (22.5%)

explain160.0ms (1.4%)

preprocess176.0ms (1.6%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify214.0ms (1.9%)

localize57.0ms (0.5%)

series32.0ms (0.3%)

simplify213.0ms (1.9%)

rewrite122.0ms (1.1%)

eval9.0ms (0.1%)

prune63.0ms (0.6%)

simplify149.0ms (1.3%)

localize192.0ms (1.7%)

series43.0ms (0.4%)

simplify265.0ms (2.4%)

rewrite178.0ms (1.6%)

eval184.0ms (1.6%)

prune17.0ms (0.1%)

simplify381.0ms (3.4%)

localize236.0ms (2.1%)

series50.0ms (0.4%)

simplify461.0ms (4.1%)

rewrite176.0ms (1.6%)

eval186.0ms (1.6%)

prune61.0ms (0.5%)

simplify153.0ms (1.4%)

localize801.0ms (7.1%)

series87.0ms (0.8%)

simplify160.0ms (1.4%)

rewrite280.0ms (2.5%)

eval233.0ms (2.1%)

prune140.0ms (1.2%)

regimes165.0ms (1.5%)

regimes30.0ms (0.3%)

regimes7.0ms (0.1%)

regimes48.0ms (0.4%)

regimes7.0ms (0.1%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch0.0ms (0%)

simplify83.0ms (0.7%)

soundness2.4s (21.5%)

preprocess110.0ms (1%)

end0.0ms (0%)

Profiling