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

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated; 0ms collecting garbage

analyze211.0ms (2.1%)

Memory

16.1MiB live, 332.9MiB allocated; 73ms collecting garbage

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)

sample2.1s (20.7%)

Memory

-14.6MiB live, 2 503.6MiB allocated; 448ms collecting garbage

Samples

1.1s	3 978×	1	valid
391.0ms	4 278×	0	valid

Precisions

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

ival-tan: 363.0ms (33.6% of total)

ival-sin: 262.0ms (24.3% of total)

ival-div: 189.0ms (17.5% of total)

ival-mult: 180.0ms (16.7% of total)

adjust: 70.0ms (6.5% of total)

ival-true: 6.0ms (0.6% of total)

exact: 6.0ms (0.6% of total)

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

Bogosity

explain245.0ms (2.5%)

Memory

19.6MiB live, 254.1MiB allocated; 36ms collecting garbage

FPErrors

Click to see full error table

Ground Truth	Example	Underpredictions	Example	Subexpression
129	-	1	(9.106968679182475e+150 2.8797533180981163e+149)	`(tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))`
129	-	1	(9.106968679182475e+150 2.8797533180981163e+149)	`(sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))`
19	-	0	-	`(/.f64 (tan.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))))`
0	-	0	-	`y`
0	-	0	-	`#s(literal 2 binary64)`
0	-	0	-	`(/.f64 x (*.f64 y #s(literal 2 binary64)))`
0	-	0	-	`x`
0	-	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	97	0
`tan.f64`	`(tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))`	sensitivity	97	0
`sin.f64`	`(sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))`	oflow-rescue	31	0
↳	`(/.f64 x (*.f64 y #s(literal 2 binary64)))`	overflow	31
`tan.f64`	`(tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))`	oflow-rescue	31	0
↳	`(/.f64 x (*.f64 y #s(literal 2 binary64)))`	overflow	31
`/.f64`	`(/.f64 (tan.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))))`	u/u	19	0
↳	`(/.f64 x (*.f64 y #s(literal 2 binary64)))`	underflow	19
↳	`(tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))`	underflow	19
↳	`(/.f64 x (*.f64 y #s(literal 2 binary64)))`	underflow	19
↳	`(sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))`	underflow	19

Confusion

	Predicted +	Predicted -
+	147	0
-	0	109

Precision

1.0

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	147	0	0
-	0	0	109

Precision?

1.0

Recall?

1.0

Freqs

test

number	freq
0	109
1	19
2	128

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

149.0ms	254×	1	valid
23.0ms	258×	0	valid

Compiler

Compiled 89 to 28 computations (68.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 143.0ms

ival-sin: 109.0ms (76.1% of total)

ival-tan: 14.0ms (9.8% of total)

ival-div: 10.0ms (7% of total)

adjust: 5.0ms (3.5% of total)

ival-mult: 4.0ms (2.8% of total)

ival-true: 1.0ms (0.7% of total)

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

exact: 0.0ms (0% of total)

preprocess193.0ms (1.9%)

Memory

18.1MiB live, 206.6MiB allocated; 53ms collecting garbage

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; 0ms collecting garbage
Compiler: Compiled 0 to 2 computations (-∞% saved)

prune1.0ms (0%)

Memory

1.5MiB live, 1.5MiB allocated; 0ms collecting garbage

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	46.8%	(/.f64 (tan.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))))

Compiler

Compiled 13 to 8 computations (38.5% saved)

simplify150.0ms (1.5%)

Memory

-14.1MiB live, 187.3MiB allocated; 22ms collecting garbage

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)))

localize82.0ms (0.8%)

Memory

26.2MiB live, 116.7MiB allocated; 6ms collecting garbage

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.0	(*.f64 y #s(literal 2 binary64))
accuracy	4.75786476996568	(/.f64 (tan.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))))
accuracy	28.86538410569405	(sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))
accuracy	29.05748454372285	(tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))

Samples

66.0ms	127×	1	valid
9.0ms	129×	0	valid

Compiler

Compiled 38 to 10 computations (73.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 65.0ms

ival-tan: 37.0ms (57.2% of total)

ival-sin: 18.0ms (27.8% of total)

ival-div: 5.0ms (7.7% of total)

adjust: 2.0ms (3.1% of total)

ival-mult: 2.0ms (3.1% of total)

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

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

exact: 0.0ms (0% of total)

series23.0ms (0.2%)

Memory

-14.1MiB live, 39.7MiB allocated; 6ms collecting garbage

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
6.0ms	x	@	0	((/ (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))))
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))))
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))))

simplify200.0ms (2%)

Memory

20.0MiB live, 294.4MiB allocated; 35ms collecting garbage

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))

rewrite130.0ms (1.3%)

Memory

-13.2MiB live, 179.4MiB allocated; 24ms collecting garbage

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: 10.3MiB live, 10.3MiB allocated; 0ms collecting garbage
Compiler: Compiled 2 105 to 381 computations (81.9% saved)

prune35.0ms (0.3%)

Memory

-30.7MiB live, 14.9MiB allocated; 7ms collecting garbage

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

60.4%

Counts

56 → 10

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	5.0%	(/.f64 (tan.f64 (/.f64 (/.f64 x y) #s(literal -2 binary64))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
✓	46.8%	(/.f64 (tan.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))))
▶	39.0%	(/.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)))
	46.6%	(/.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))))
	46.6%	(/.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)))))
	42.4%	(/.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)))))
	46.6%	#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)))
▶	54.2%	#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x))))
▶	55.3%	#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)

simplify260.0ms (2.6%)

Memory

24.0MiB live, 306.5MiB allocated; 52ms collecting garbage

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)

localize238.0ms (2.4%)

Memory

-2.5MiB live, 242.0MiB allocated; 33ms collecting garbage

Localize:

Found 13 expressions of interest:

New	Metric	Score
accuracy	0.0	(*.f64 y #s(literal 2 binary64))
accuracy	4.875394140106042	(/.f64 (tan.f64 (/.f64 (/.f64 x y) #s(literal -2 binary64))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
accuracy	28.86538410569405	(sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))
accuracy	29.038947866821236	(tan.f64 (/.f64 (/.f64 x y) #s(literal -2 binary64)))
accuracy	4.75786476996568	(/.f64 (tan.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) #s(approx (sin (/ x ( y 2))) (.f64 (/.f64 (fma.f64 (/.f64 (.f64 x x) y) (/.f64 #s(literal -1/48 binary64) y) #s(literal 1/2 binary64)) y) x)))
accuracy	8.654526902617478	(/.f64 (*.f64 x x) y)
accuracy	29.05748454372285	(tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))
accuracy	31.7859203478054	#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	0.0859375	(/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)))
accuracy	0.19921875	(*.f64 (/.f64 #s(literal 1/2 binary64) y) x)
accuracy	29.17419895079662	(cos.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x))
accuracy	28.580326950182076	#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(literal 1 binary64))

Samples

130.0ms	127×	1	valid
27.0ms	129×	0	valid

Compiler

Compiled 189 to 30 computations (84.1% saved)

Precisions

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

ival-tan: 35.0ms (33.2% of total)

ival-div: 33.0ms (31.3% of total)

ival-mult: 11.0ms (10.4% of total)

adjust: 6.0ms (5.7% of total)

const: 6.0ms (5.7% of total)

ival-sin: 6.0ms (5.7% of total)

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

ival-add: 2.0ms (1.9% of total)

exact: 1.0ms (0.9% of total)

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

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

series46.0ms (0.5%)

Memory

14.7MiB live, 59.3MiB allocated; 15ms collecting garbage

Counts

17 → 69

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))))
(*.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))
(* 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 (* -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
20.0ms	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))) (* 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))) (* y 2))
5.0ms	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))) (* y 2))
4.0ms	y	@	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))) (* y 2))
4.0ms	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))) (* y 2))

simplify305.0ms (3.1%)

Memory

-29.4MiB live, 296.8MiB allocated; 107ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	485	3193
1	1526	3061
2	6086	3003
0	8194	2813

Stop Event

1×	iter limit
1×	node limit

Counts

69 → 69

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))
(* 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 (* -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))))))
(fma.f64 (fma.f64 (.f64 (/.f64 #s(literal 1/384 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) (+ (* -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)
(*.f64 x (/.f64 x y))
(/ 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)))))
(.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (.f64 (*.f64 x x) y)) (/.f64 #s(literal 1/48 binary64) (pow.f64 y #s(literal 3 binary64)))) (pow.f64 x #s(literal 3 binary64)))
(/ (sin (* 1/2 (/ x y))) (cos (* 1/2 (/ x y))))
(/.f64 (sin.f64 (.f64 (/.f64 x y) #s(literal 1/2 binary64))) (cos.f64 (.f64 #s(literal -1/2 binary64) (/.f64 x y))))
(/ (sin (* -1/2 (/ x y))) (* (cos (* -1/2 (/ x y))) (sin (* 1/2 (/ x y)))))
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(/ (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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(* 2 y)
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(- (+ 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)))))))))
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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 #s(literal 1/48 binary64) y) (/.f64 (pow.f64 x #s(literal 3 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 #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 (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))) x) (/.f64 #s(literal 1/24 binary64) (.f64 y y))) (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 (pow.f64 x #s(literal 3 binary64)) (.f64 x y)) (/.f64 #s(literal 1/24 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 #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))

rewrite145.0ms (1.5%)

Memory

-12.3MiB live, 221.8MiB allocated; 34ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	34	171
0	56	171
1	146	171
2	704	171
3	7818	171
0	8028	171

Stop Event

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

Counts

17 → 228

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))))
(*.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))))
(*.f64 (neg.f64 y) #s(literal -2 binary64))
(*.f64 #s(literal -2 binary64) (neg.f64 y))
(*.f64 #s(literal 2 binary64) y)
(*.f64 y #s(literal 2 binary64))
(/.f64 (-.f64 (.f64 y y) (.f64 y y)) (-.f64 y y))
(/.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (fma.f64 y y (-.f64 (.f64 y y) (.f64 y y))))
(neg.f64 (*.f64 #s(literal -2 binary64) y))
(+.f64 y y)

eval52.0ms (0.5%)

Memory: 13.1MiB live, 111.9MiB allocated; 13ms collecting garbage
Compiler: Compiled 11 113 to 1 412 computations (87.3% saved)

prune29.0ms (0.3%)

Memory

-24.1MiB live, 68.1MiB allocated; 6ms collecting garbage

Pruning

27 alts after pruning (25 fresh and 2 done)

	Pruned	Kept	Total
New	289	23	312
Fresh	2	2	4
Picked	3	2	5
Done	1	0	1
Total	295	27	322

Accuracy

62.0%

Counts

322 → 27

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	5.6%	(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x y))) (sin.f64 (/.f64 (neg.f64 x) y))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
	5.6%	(/.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)))))
	5.2%	(/.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)))))
	5.5%	(/.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)))))
	4.6%	(/.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))))
▶	46.6%	(/.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))))
	5.0%	(/.f64 (tan.f64 (/.f64 x (.f64 #s(literal -2 binary64) y))) (sin.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))))
	5.0%	(/.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)))))
	38.8%	(/.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)))
	35.6%	(/.f64 #s(approx (tan (/ x (* y 2))) (/.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))) 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)))
	46.6%	(/.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)))))
▶	5.6%	#s(approx (/ (tan (/ (/ x y) -2)) (sin (/ x (* y 2)))) #s(literal -1 binary64))
	50.5%	#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)))
	52.7%	#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)))
	54.2%	#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (pow.f64 (.f64 #s(literal 0 binary64) (sin.f64 (.f64 (/.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))))))))
▶	54.8%	#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))))))
	54.7%	#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))))))
	54.8%	#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 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))))))
	54.2%	#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) x) y))))
	54.2%	#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 x y) (PI.f64)) (PI.f64)))))
	54.2%	#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 (+.f64 (fma.f64 (/.f64 x y) #s(literal 1/2 binary64) (/.f64 (PI.f64) #s(literal 2 binary64))) (/.f64 (PI.f64) #s(literal 2 binary64))) (PI.f64)))))
✓	54.2%	#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x))))
	50.8%	#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)))))
▶	55.2%	#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)))))
	52.7%	#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (+.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)))))
	52.7%	#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (exp.f64 (.f64 (log.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) (/.f64 x y)))) #s(literal -1 binary64))))
✓	55.3%	#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(literal 1 binary64))

Compiler

Compiled 1 415 to 893 computations (36.9% saved)

simplify167.0ms (1.7%)

Memory

37.3MiB live, 269.9MiB allocated; 23ms collecting garbage

Algorithm

1×	egg-herbie

Localize:

Found 17 expressions of interest:

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

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	45	272
0	73	265
1	112	255
2	174	251
3	316	249
4	488	249
5	784	249
6	1323	249
7	2622	249
8	5275	249
0	8262	249

Stop Event

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

Calls

Call 1

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

localize477.0ms (4.8%)

Memory

-30.0MiB live, 727.2MiB allocated; 137ms collecting garbage

Localize:

Found 17 expressions of interest:

New	Metric	Score
accuracy	15.1624085374082	(-.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x y)))
accuracy	28.799184691564538	(sin.f64 (/.f64 (neg.f64 x) y))
accuracy	28.86538410569405	(sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))
accuracy	29.02953963838686	(cos.f64 (/.f64 x y))
accuracy	0.19921875	(*.f64 (/.f64 #s(literal 1/2 binary64) y) x)
accuracy	4.75786476996568	(/.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))))
accuracy	28.86538410569405	(sin.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x))
accuracy	29.05748454372285	(tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))
accuracy	0.0	#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (sin.f64 (fma.f64 (/.f64 x y) #s(literal 1/2 binary64) (/.f64 (PI.f64) #s(literal 2 binary64))))))
accuracy	0.01953125	(fma.f64 (/.f64 x y) #s(literal 1/2 binary64) (/.f64 (PI.f64) #s(literal 2 binary64)))
accuracy	0.0859375	(/.f64 #s(literal 1 binary64) (sin.f64 (fma.f64 (/.f64 x y) #s(literal 1/2 binary64) (/.f64 (PI.f64) #s(literal 2 binary64)))))
accuracy	28.792057704702618	(sin.f64 (fma.f64 (/.f64 x y) #s(literal 1/2 binary64) (/.f64 (PI.f64) #s(literal 2 binary64))))
accuracy	28.580326950182076	#s(approx (/ (tan (/ (/ x y) -2)) (sin (/ x (* y 2)))) #s(literal -1 binary64))
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	0.015625	(fma.f64 #s(literal -1/2 binary64) (/.f64 x y) (PI.f64))
accuracy	0.0859375	(/.f64 #s(literal -1 binary64) (cos.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 x y) (PI.f64))))
accuracy	28.552514735383557	(cos.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 x y) (PI.f64)))

Samples

216.0ms	164×	1	valid
73.0ms	56×	2	valid
71.0ms	31×	3	valid
25.0ms	5×	0	valid

Compiler

Compiled 242 to 39 computations (83.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 312.0ms

ival-sin: 90.0ms (28.8% of total)

ival-cos: 57.0ms (18.3% of total)

adjust: 56.0ms (17.9% of total)

ival-div: 43.0ms (13.8% of total)

ival-add: 30.0ms (9.6% of total)

ival-tan: 17.0ms (5.4% of total)

ival-mult: 13.0ms (4.2% of total)

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

ival-pi: 2.0ms (0.6% of total)

exact: 1.0ms (0.3% of total)

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

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

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

series78.0ms (0.8%)

Memory

35.6MiB live, 86.5MiB allocated; 51ms collecting garbage

Counts

21 → 135

Calls

Call 1

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

Outputs
(/ -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))))
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(- (+ 1 (+ (* -2 (/ (- (* -1/3840 (pow x 5)) (+ (* -1/8 (* (pow x 2) (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3))))) (* -1/768 (pow x 5)))) (* x (pow y 4)))) (+ (* -2 (/ (- (* 1/645120 (pow x 7)) (+ (* -1/8 (* (pow x 2) (- (* -1/3840 (pow x 5)) (+ (* -1/8 (* (pow x 2) (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3))))) (* -1/768 (pow x 5)))))) (+ (* 1/92160 (pow x 7)) (* 1/384 (* (pow x 4) (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3)))))))) (* x (pow y 6)))) (* -2 (/ (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3))) (* x (pow y 2))))))) (+ (* -1/24 (/ (* (pow x 2) (- (* -2 (/ (- (* -1/3840 (pow x 5)) (+ (* -1/8 (* (pow x 2) (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3))))) (* -1/768 (pow x 5)))) x)) (+ (* -1/24 (* (pow x 2) (- (* -2 (/ (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3))) x)) (* -1/24 (pow x 2))))) (* 1/1920 (pow x 4))))) (pow y 6))) (+ (* -1/24 (/ (* (pow x 2) (- (* -2 (/ (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3))) x)) (* -1/24 (pow x 2)))) (pow y 4))) (+ (* -1/24 (/ (pow x 2) (pow y 2))) (+ (* -1/322560 (/ (pow x 6) (pow y 6))) (+ (* 1/1920 (/ (* (pow x 4) (- (* -2 (/ (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3))) x)) (* -1/24 (pow x 2)))) (pow y 6))) (* 1/1920 (/ (pow x 4) (pow y 4)))))))))
(+ (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)))
(- (* -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))))))))))
(+ (sin (* 1/2 (PI))) (* -1 (/ (+ (* -1/2 (* x (cos (* 1/2 (PI))))) (* 1/8 (/ (* (pow x 2) (sin (* 1/2 (PI)))) y))) 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 (/ (- (+ (* -1/4 (/ (* (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 (/ (- (+ (* -1/16 (/ (* (pow x 3) (cos (* 1/2 (PI)))) (* y (pow (sin (* 1/2 (PI))) 2)))) (+ (* 1/48 (/ (* (pow x 3) (cos (* 1/2 (PI)))) (* y (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)))))))) (* y (sin (* 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)) (* -1/2 (/ (* x (cos (* 1/2 (PI)))) (pow (sin (* 1/2 (PI))) 2)))) y)) (/ 1 (sin (* 1/2 (PI)))))
(* -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 (/ (- (+ (* -1/24 (/ (pow x 3) (pow y 2))) (* 1/2 x)) (* -1/12 (/ (pow x 3) (pow y 2)))) y))
(* -1 (/ (- (+ (* -1/24 (/ (pow x 3) (pow y 2))) (+ (* 1/720 (/ (pow x 5) (pow y 4))) (* 1/2 x))) (+ (* -1/6 (/ (* (pow x 2) (- (* -1/24 (pow x 3)) (* -1/12 (pow x 3)))) (pow y 4))) (+ (* -1/12 (/ (pow x 3) (pow y 2))) (* 1/240 (/ (pow x 5) (pow y 4)))))) y))
(* -1 (/ (- (+ (* -1/24 (/ (pow x 3) (pow y 2))) (+ (* -1/40320 (/ (pow x 7) (pow y 6))) (+ (* 1/720 (/ (pow x 5) (pow y 4))) (* 1/2 x)))) (+ (* -1/6 (/ (* (pow x 2) (- (* -1/24 (pow x 3)) (* -1/12 (pow x 3)))) (pow y 4))) (+ (* -1/6 (/ (* (pow x 2) (- (* 1/720 (pow x 5)) (+ (* -1/6 (* (pow x 2) (- (* -1/24 (pow x 3)) (* -1/12 (pow x 3))))) (* 1/240 (pow x 5))))) (pow y 6))) (+ (* -1/12 (/ (pow x 3) (pow y 2))) (+ (* -1/10080 (/ (pow x 7) (pow y 6))) (+ (* 1/240 (/ (pow x 5) (pow y 4))) (* 1/120 (/ (* (pow x 4) (- (* -1/24 (pow x 3)) (* -1/12 (pow x 3)))) (pow y 6))))))))) y))
(* -1 (/ (+ (* -1/2 x) (* 1/48 (/ (pow x 3) (pow y 2)))) y))
(* -1 (/ (+ (* -1/2 x) (+ (* -1/3840 (/ (pow x 5) (pow y 4))) (* 1/48 (/ (pow x 3) (pow y 2))))) y))
(* -1 (/ (+ (* -1/2 x) (+ (* -1/3840 (/ (pow x 5) (pow y 4))) (+ (* 1/645120 (/ (pow x 7) (pow y 6))) (* 1/48 (/ (pow x 3) (pow y 2)))))) y))
(* -1 (/ (+ x (* -1/6 (/ (pow x 3) (pow y 2)))) y))
(* -1 (/ (+ x (+ (* -1/6 (/ (pow x 3) (pow y 2))) (* 1/120 (/ (pow x 5) (pow y 4))))) y))
(* -1 (/ (+ x (+ (* -1/6 (/ (pow x 3) (pow y 2))) (+ (* -1/5040 (/ (pow x 7) (pow y 6))) (* 1/120 (/ (pow x 5) (pow y 4)))))) y))

Calls

6 calls:

Time	Variable		Point	Expression
40.0ms	y	@	0	((/ -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)) (/ (tan (/ (/ x y) -2)) (sin (/ x (* y 2)))) (sin (+ (* (/ x y) 1/2) (/ (PI) 2))) (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/ 1 (sin (+ (* (/ x y) 1/2) (/ (PI) 2)))) (+ (* (/ x y) 1/2) (/ (PI) 2)) (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (tan (/ x (* y 2))) (/ x (* y 2)) (* y 2) (/ (- 1 (cos (/ x y))) (sin (/ (neg x) y))) (/ (/ (- 1 (cos (/ x y))) (sin (/ (neg x) y))) (sin (/ x (* y 2)))) (- 1 (cos (/ x y))) (cos (/ x y)) (sin (* (/ 1/2 y) x)) (* (/ 1/2 y) x) (sin (/ x (* y 2))) (sin (/ (neg x) y)))
11.0ms	y	@	inf	((/ -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)) (/ (tan (/ (/ x y) -2)) (sin (/ x (* y 2)))) (sin (+ (* (/ x y) 1/2) (/ (PI) 2))) (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/ 1 (sin (+ (* (/ x y) 1/2) (/ (PI) 2)))) (+ (* (/ x y) 1/2) (/ (PI) 2)) (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (tan (/ x (* y 2))) (/ x (* y 2)) (* y 2) (/ (- 1 (cos (/ x y))) (sin (/ (neg x) y))) (/ (/ (- 1 (cos (/ x y))) (sin (/ (neg x) y))) (sin (/ x (* y 2)))) (- 1 (cos (/ x y))) (cos (/ x y)) (sin (* (/ 1/2 y) x)) (* (/ 1/2 y) x) (sin (/ x (* y 2))) (sin (/ (neg x) y)))
7.0ms	x	@	0	((/ -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)) (/ (tan (/ (/ x y) -2)) (sin (/ x (* y 2)))) (sin (+ (* (/ x y) 1/2) (/ (PI) 2))) (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/ 1 (sin (+ (* (/ x y) 1/2) (/ (PI) 2)))) (+ (* (/ x y) 1/2) (/ (PI) 2)) (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (tan (/ x (* y 2))) (/ x (* y 2)) (* y 2) (/ (- 1 (cos (/ x y))) (sin (/ (neg x) y))) (/ (/ (- 1 (cos (/ x y))) (sin (/ (neg x) y))) (sin (/ x (* y 2)))) (- 1 (cos (/ x y))) (cos (/ x y)) (sin (* (/ 1/2 y) x)) (* (/ 1/2 y) x) (sin (/ x (* y 2))) (sin (/ (neg x) y)))
7.0ms	y	@	-inf	((/ -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)) (/ (tan (/ (/ x y) -2)) (sin (/ x (* y 2)))) (sin (+ (* (/ x y) 1/2) (/ (PI) 2))) (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/ 1 (sin (+ (* (/ x y) 1/2) (/ (PI) 2)))) (+ (* (/ x y) 1/2) (/ (PI) 2)) (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (tan (/ x (* y 2))) (/ x (* y 2)) (* y 2) (/ (- 1 (cos (/ x y))) (sin (/ (neg x) y))) (/ (/ (- 1 (cos (/ x y))) (sin (/ (neg x) y))) (sin (/ x (* y 2)))) (- 1 (cos (/ x y))) (cos (/ x y)) (sin (* (/ 1/2 y) x)) (* (/ 1/2 y) x) (sin (/ x (* y 2))) (sin (/ (neg x) y)))
4.0ms	x	@	inf	((/ -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)) (/ (tan (/ (/ x y) -2)) (sin (/ x (* y 2)))) (sin (+ (* (/ x y) 1/2) (/ (PI) 2))) (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/ 1 (sin (+ (* (/ x y) 1/2) (/ (PI) 2)))) (+ (* (/ x y) 1/2) (/ (PI) 2)) (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (tan (/ x (* y 2))) (/ x (* y 2)) (* y 2) (/ (- 1 (cos (/ x y))) (sin (/ (neg x) y))) (/ (/ (- 1 (cos (/ x y))) (sin (/ (neg x) y))) (sin (/ x (* y 2)))) (- 1 (cos (/ x y))) (cos (/ x y)) (sin (* (/ 1/2 y) x)) (* (/ 1/2 y) x) (sin (/ x (* y 2))) (sin (/ (neg x) y)))

simplify215.0ms (2.2%)

Memory

-25.2MiB live, 245.5MiB allocated; 75ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1048	5323
1	3518	4846
0	8522	4595

Stop Event

1×	iter limit
1×	node limit

Counts

135 → 135

Calls

Call 1

Inputs
(/ -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))))
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))))))
(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
(- (* -1/8 (/ (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)))
(+ (sin (* 1/2 (PI))) (* 1/2 (/ (* x (cos (* 1/2 (PI)))) y)))
(+ (sin (* 1/2 (PI))) (* x (+ (* -1/8 (/ (* x (sin (* 1/2 (PI)))) (pow y 2))) (* 1/2 (/ (cos (* 1/2 (PI))) y)))))
(+ (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 (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 (+ (* -1/48 (/ (cos (* 1/2 (PI))) (* (pow y 3) (pow (sin (* 1/2 (PI))) 2)))) (+ (* 1/16 (/ (cos (* 1/2 (PI))) (* (pow y 3) (pow (sin (* 1/2 (PI))) 2)))) (* 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)))))))))) (* 1/8 (/ 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 (PI)) (* 1/2 (/ x y)))
(* 1/2 (/ x y))
(* x (+ (* 1/24 (/ (pow x 2) (pow y 3))) (* 1/2 (/ 1 y))))
(* x (+ (* (pow x 2) (+ (* 1/240 (/ (pow x 2) (pow y 5))) (* 1/24 (/ 1 (pow y 3))))) (* 1/2 (/ 1 y))))
(* x (+ (* (pow x 2) (+ (* (pow x 2) (+ (* 17/40320 (/ (pow x 2) (pow y 7))) (* 1/240 (/ 1 (pow y 5))))) (* 1/24 (/ 1 (pow y 3))))) (* 1/2 (/ 1 y))))
(* -1/2 (/ 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))))
(- (* (pow x 2) (- (* (pow x 2) (- (* (pow x 2) (- (* 653/322560 (/ 1 (pow y 6))) (* 3/896 (/ 1 (pow y 6))))) (* 5/384 (/ 1 (pow y 4))))) (* 1/8 (/ 1 (pow y 2))))) 1)
(* 1/2 (/ (pow x 2) (pow y 2)))
(* (pow x 2) (+ (* -1/24 (/ (pow x 2) (pow y 4))) (* 1/2 (/ 1 (pow y 2)))))
(* (pow x 2) (+ (* (pow x 2) (- (* 1/720 (/ (pow x 2) (pow y 6))) (* 1/24 (/ 1 (pow y 4))))) (* 1/2 (/ 1 (pow y 2)))))
(* (pow x 2) (+ (* (pow x 2) (- (* (pow x 2) (+ (* -1/40320 (/ (pow x 2) (pow y 8))) (* 1/720 (/ 1 (pow y 6))))) (* 1/24 (/ 1 (pow y 4))))) (* 1/2 (/ 1 (pow y 2)))))
(+ 1 (* -1/2 (/ (pow x 2) (pow y 2))))
(+ 1 (* (pow x 2) (- (* 1/24 (/ (pow x 2) (pow y 4))) (* 1/2 (/ 1 (pow y 2))))))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ (* -1/720 (/ (pow x 2) (pow y 6))) (* 1/24 (/ 1 (pow y 4))))) (* 1/2 (/ 1 (pow y 2))))))
(* 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 (/ x y))
(* x (- (* 1/6 (/ (pow x 2) (pow y 3))) (/ 1 y)))
(* x (- (* (pow x 2) (+ (* -1/120 (/ (pow x 2) (pow y 5))) (* 1/6 (/ 1 (pow y 3))))) (/ 1 y)))
(* x (- (* (pow x 2) (+ (* (pow x 2) (- (* 1/5040 (/ (pow x 2) (pow y 7))) (* 1/120 (/ 1 (pow y 5))))) (* 1/6 (/ 1 (pow y 3))))) (/ 1 y)))
(/ -1 (cos (- (PI) (* 1/2 (/ x y)))))
(/ 1 (cos (* 1/2 (/ x y))))
(cos (- (PI) (* 1/2 (/ x y))))
(* x (- (/ (PI) x) (* 1/2 (/ 1 y))))
(/ (sin (* -1/2 (/ x y))) (* (cos (* -1/2 (/ x y))) (sin (* 1/2 (/ x y)))))
(sin (+ (* 1/2 (PI)) (* 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))))
(/ (- 1 (cos (/ x y))) (sin (* -1 (/ x y))))
(/ (- 1 (cos (/ x y))) (* (sin (* -1 (/ x y))) (sin (* 1/2 (/ x y)))))
(- 1 (cos (/ x y)))
(cos (/ x y))
(sin (* 1/2 (/ x y)))
(sin (* -1 (/ x y)))
(/ -1 (cos (+ (PI) (* -1/2 (/ x y)))))
(cos (+ (PI) (* -1/2 (/ x y))))
(* -1 (* x (+ (* -1 (/ (PI) x)) (* 1/2 (/ 1 y)))))
(sin (- (* 1/2 (PI)) (* -1/2 (/ x y))))
(/ 1 (sin (- (* 1/2 (PI)) (* -1/2 (/ x y)))))
(* -1 (* x (- (* -1/2 (/ (PI) x)) (* 1/2 (/ 1 y)))))
(/ (+ (* -1/2 x) (* y (PI))) y)
(/ (+ (* 1/2 x) (* 1/2 (* y (PI)))) y)
(* 2 y)
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(* -1 (/ (+ (* -1/2 x) (+ (* -1/3840 (/ (pow x 5) (pow y 4))) (* 1/48 (/ (pow x 3) (pow y 2))))) y))
(* -1 (/ (+ (* -1/2 x) (+ (* -1/3840 (/ (pow x 5) (pow y 4))) (+ (* 1/645120 (/ (pow x 7) (pow y 6))) (* 1/48 (/ (pow x 3) (pow y 2)))))) y))
(* -1 (/ (+ x (* -1/6 (/ (pow x 3) (pow y 2)))) y))
(* -1 (/ (+ x (+ (* -1/6 (/ (pow x 3) (pow y 2))) (* 1/120 (/ (pow x 5) (pow y 4))))) y))
(* -1 (/ (+ x (+ (* -1/6 (/ (pow x 3) (pow y 2))) (+ (* -1/5040 (/ (pow x 7) (pow y 6))) (* 1/120 (/ (pow x 5) (pow y 4)))))) y))

Outputs
(/ -1 (cos (PI)))
#s(literal 1 binary64)
(- (* 1/2 (/ (* x (sin (PI))) (* y (pow (cos (PI)) 2)))) (/ 1 (cos (PI))))
#s(literal 1 binary64)
(- (* x (- (* -1 (* x (+ (* 1/8 (/ 1 (* (pow y 2) (cos (PI))))) (* 1/4 (/ (pow (sin (PI)) 2) (* (pow y 2) (pow (cos (PI)) 3))))))) (* -1/2 (/ (sin (PI)) (* y (pow (cos (PI)) 2)))))) (/ 1 (cos (PI))))
(-.f64 (.f64 (.f64 (neg.f64 x) (/.f64 #s(literal 1/8 binary64) (neg.f64 (*.f64 y y)))) x) #s(literal -1 binary64))
(- (* x (- (* x (- (* -1 (* x (+ (* -1/2 (/ (* (sin (PI)) (+ (* 1/4 (/ (pow (sin (PI)) 2) (* (pow y 2) (pow (cos (PI)) 3)))) (* 1/8 (/ 1 (* (pow y 2) (cos (PI))))))) (* y (cos (PI))))) (+ (* -1/16 (/ (sin (PI)) (* (pow y 3) (pow (cos (PI)) 2)))) (* 1/48 (/ (sin (PI)) (* (pow y 3) (pow (cos (PI)) 2)))))))) (+ (* 1/8 (/ 1 (* (pow y 2) (cos (PI))))) (* 1/4 (/ (pow (sin (PI)) 2) (* (pow y 2) (pow (cos (PI)) 3))))))) (* -1/2 (/ (sin (PI)) (* y (pow (cos (PI)) 2)))))) (/ 1 (cos (PI))))
(-.f64 (.f64 (fma.f64 (-.f64 #s(literal 0 binary64) (/.f64 #s(literal 1/8 binary64) (neg.f64 (.f64 y y)))) x #s(literal 0 binary64)) x) #s(literal -1 binary64))
1
#s(literal 1 binary64)
(+ 1 (* 1/8 (/ (pow x 2) (pow y 2))))
(fma.f64 (/.f64 #s(literal 1/8 binary64) y) (/.f64 (*.f64 x x) y) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (+ (* 5/384 (/ (pow x 2) (pow y 4))) (* 1/8 (/ 1 (pow y 2))))))
(fma.f64 (fma.f64 (/.f64 (.f64 x x) (pow.f64 y #s(literal 4 binary64))) #s(literal 5/384 binary64) (/.f64 #s(literal 1/8 binary64) (.f64 y y))) (*.f64 x x) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (+ (* (pow x 2) (+ (* 61/46080 (/ (pow x 2) (pow y 6))) (* 5/384 (/ 1 (pow y 4))))) (* 1/8 (/ 1 (pow y 2))))))
(fma.f64 (fma.f64 (fma.f64 (/.f64 (.f64 x x) (pow.f64 y #s(literal 6 binary64))) #s(literal 61/46080 binary64) (/.f64 #s(literal 5/384 binary64) (pow.f64 y #s(literal 4 binary64)))) (.f64 x x) (/.f64 #s(literal 1/8 binary64) (.f64 y y))) (.f64 x x) #s(literal 1 binary64))
(cos (PI))
#s(literal -1 binary64)
(+ (cos (PI)) (* 1/2 (/ (* x (sin (PI))) y)))
#s(literal -1 binary64)
(+ (cos (PI)) (* x (- (* -1/8 (/ (* x (cos (PI))) (pow y 2))) (* -1/2 (/ (sin (PI)) y)))))
(fma.f64 (fma.f64 (/.f64 #s(literal -1/8 binary64) y) (/.f64 (neg.f64 x) y) #s(literal 0 binary64)) x #s(literal -1 binary64))
(+ (cos (PI)) (* x (- (* x (+ (* -1/8 (/ (cos (PI)) (pow y 2))) (* -1/48 (/ (* x (sin (PI))) (pow y 3))))) (* -1/2 (/ (sin (PI)) y)))))
(fma.f64 (fma.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 y y)) x #s(literal 0 binary64)) x #s(literal -1 binary64))
(PI)
(PI.f64)
(+ (PI) (* -1/2 (/ x y)))
(fma.f64 #s(literal -1/2 binary64) (/.f64 x y) (PI.f64))
-1
#s(literal -1 binary64)
(- (* -1/8 (/ (pow x 2) (pow y 2))) 1)
(-.f64 (.f64 (/.f64 #s(literal -1/8 binary64) y) (/.f64 (.f64 x x) y)) #s(literal 1 binary64))
(- (* (pow x 2) (- (* -5/384 (/ (pow x 2) (pow y 4))) (* 1/8 (/ 1 (pow y 2))))) 1)
(-.f64 (.f64 (-.f64 (/.f64 (.f64 #s(literal -5/384 binary64) (.f64 x x)) (pow.f64 y #s(literal 4 binary64))) (/.f64 #s(literal 1/8 binary64) (.f64 y y))) (*.f64 x x)) #s(literal 1 binary64))
(- (* (pow x 2) (- (* (pow x 2) (- (* -61/46080 (/ (pow x 2) (pow y 6))) (* 5/384 (/ 1 (pow y 4))))) (* 1/8 (/ 1 (pow y 2))))) 1)
(-.f64 (.f64 (-.f64 (.f64 (-.f64 (/.f64 (.f64 #s(literal -61/46080 binary64) (.f64 x x)) (pow.f64 y #s(literal 6 binary64))) (/.f64 #s(literal 5/384 binary64) (pow.f64 y #s(literal 4 binary64)))) (.f64 x x)) (/.f64 #s(literal 1/8 binary64) (.f64 y y))) (*.f64 x x)) #s(literal 1 binary64))
(sin (* 1/2 (PI)))
(sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)))
(+ (sin (* 1/2 (PI))) (* 1/2 (/ (* x (cos (* 1/2 (PI)))) y)))
(fma.f64 (.f64 x (/.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) (PI.f64))) y)) #s(literal 1/2 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))))
(+ (sin (* 1/2 (PI))) (* x (+ (* -1/8 (/ (* x (sin (* 1/2 (PI)))) (pow y 2))) (* 1/2 (/ (cos (* 1/2 (PI))) y)))))
(fma.f64 (fma.f64 (/.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) (PI.f64))) y) #s(literal 1/2 binary64) (.f64 (.f64 x (/.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) (PI.f64))) (.f64 y y))) #s(literal -1/8 binary64))) x (sin.f64 (.f64 #s(literal 1/2 binary64) (PI.f64))))
(+ (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))))))))
(fma.f64 (fma.f64 (fma.f64 (/.f64 #s(literal -1/8 binary64) y) (/.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) (PI.f64))) y) (.f64 (.f64 x (/.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) (PI.f64))) (pow.f64 y #s(literal 3 binary64)))) #s(literal -1/48 binary64))) x (.f64 (/.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) (PI.f64))) y) #s(literal 1/2 binary64))) x (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))))
(/ 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)))))
(fma.f64 (/.f64 #s(literal -1/2 binary64) y) (.f64 x (/.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) (PI.f64))) (pow.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) (PI.f64))) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (sin.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)))))
(+ (* 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)))))
(fma.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1/8 binary64) (.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) (PI.f64))) (.f64 y y))) (.f64 (/.f64 #s(literal -1/4 binary64) (.f64 y y)) (/.f64 (pow.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) (PI.f64))) #s(literal 2 binary64)) (pow.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) (PI.f64))) #s(literal 3 binary64))))) x (.f64 #s(literal -1/2 binary64) (/.f64 (/.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) (PI.f64))) y) (pow.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) (PI.f64))) #s(literal 2 binary64))))) x (/.f64 #s(literal 1 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)))))
(+ (* x (- (* x (- (+ (* -1 (* x (+ (* -1/48 (/ (cos (* 1/2 (PI))) (* (pow y 3) (pow (sin (* 1/2 (PI))) 2)))) (+ (* 1/16 (/ (cos (* 1/2 (PI))) (* (pow y 3) (pow (sin (* 1/2 (PI))) 2)))) (* 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)))))))))) (* 1/8 (/ 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)))))
(fma.f64 (fma.f64 (fma.f64 (neg.f64 x) (fma.f64 (/.f64 (/.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) (PI.f64))) (pow.f64 y #s(literal 3 binary64))) (pow.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) (PI.f64))) #s(literal 2 binary64))) #s(literal 1/24 binary64) (.f64 (/.f64 #s(literal 1/2 binary64) (sin.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)))) (/.f64 (.f64 (-.f64 (/.f64 #s(literal 1/8 binary64) (.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) (PI.f64))) (.f64 y y))) (.f64 (/.f64 #s(literal -1/4 binary64) (.f64 y y)) (/.f64 (pow.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) (PI.f64))) #s(literal 2 binary64)) (pow.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) (PI.f64))) #s(literal 3 binary64))))) (cos.f64 (.f64 #s(literal -1/2 binary64) (PI.f64)))) y))) (-.f64 (/.f64 #s(literal 1/8 binary64) (.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) (PI.f64))) (.f64 y y))) (.f64 (/.f64 #s(literal -1/4 binary64) (.f64 y y)) (/.f64 (pow.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) (PI.f64))) #s(literal 2 binary64)) (pow.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) (PI.f64))) #s(literal 3 binary64)))))) x (.f64 #s(literal -1/2 binary64) (/.f64 (/.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) (PI.f64))) y) (pow.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) (PI.f64))) #s(literal 2 binary64))))) x (/.f64 #s(literal 1 binary64) (sin.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)))))
(* 1/2 (PI))
(*.f64 #s(literal 1/2 binary64) (PI.f64))
(+ (* 1/2 (PI)) (* 1/2 (/ x y)))
(*.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 x y) (PI.f64)))
(* 1/2 (/ 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 (fma.f64 (/.f64 (.f64 x x) (pow.f64 y #s(literal 3 binary64))) #s(literal 1/24 binary64) (/.f64 #s(literal 1/2 binary64) y)) x)
(* x (+ (* (pow x 2) (+ (* 1/240 (/ (pow x 2) (pow y 5))) (* 1/24 (/ 1 (pow y 3))))) (* 1/2 (/ 1 y))))
(.f64 (fma.f64 (fma.f64 (/.f64 (.f64 x x) (pow.f64 y #s(literal 5 binary64))) #s(literal 1/240 binary64) (/.f64 #s(literal 1/24 binary64) (pow.f64 y #s(literal 3 binary64)))) (*.f64 x x) (/.f64 #s(literal 1/2 binary64) y)) x)
(* x (+ (* (pow x 2) (+ (* (pow x 2) (+ (* 17/40320 (/ (pow x 2) (pow y 7))) (* 1/240 (/ 1 (pow y 5))))) (* 1/24 (/ 1 (pow y 3))))) (* 1/2 (/ 1 y))))
(.f64 (fma.f64 (fma.f64 (fma.f64 (/.f64 (.f64 x x) (pow.f64 y #s(literal 7 binary64))) #s(literal 17/40320 binary64) (/.f64 #s(literal 1/240 binary64) (pow.f64 y #s(literal 5 binary64)))) (.f64 x x) (/.f64 #s(literal 1/24 binary64) (pow.f64 y #s(literal 3 binary64)))) (.f64 x x) (/.f64 #s(literal 1/2 binary64) y)) x)
(* -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 (/.f64 (.f64 #s(literal -1/24 binary64) (*.f64 x x)) (pow.f64 y #s(literal 3 binary64))) (/.f64 #s(literal 1/2 binary64) y)) x)
(* x (- (* (pow x 2) (- (* -1/240 (/ (pow x 2) (pow y 5))) (* 1/24 (/ 1 (pow y 3))))) (* 1/2 (/ 1 y))))
(.f64 (-.f64 (.f64 (-.f64 (/.f64 (.f64 #s(literal -1/240 binary64) (.f64 x x)) (pow.f64 y #s(literal 5 binary64))) (/.f64 #s(literal 1/24 binary64) (pow.f64 y #s(literal 3 binary64)))) (*.f64 x x)) (/.f64 #s(literal 1/2 binary64) y)) x)
(* x (- (* (pow x 2) (- (* (pow x 2) (- (* -17/40320 (/ (pow x 2) (pow y 7))) (* 1/240 (/ 1 (pow y 5))))) (* 1/24 (/ 1 (pow y 3))))) (* 1/2 (/ 1 y))))
(.f64 (-.f64 (.f64 (-.f64 (.f64 (-.f64 (/.f64 (.f64 #s(literal -17/40320 binary64) (.f64 x x)) (pow.f64 y #s(literal 7 binary64))) (/.f64 #s(literal 1/240 binary64) (pow.f64 y #s(literal 5 binary64)))) (.f64 x x)) (/.f64 #s(literal 1/24 binary64) (pow.f64 y #s(literal 3 binary64)))) (*.f64 x x)) (/.f64 #s(literal 1/2 binary64) y)) x)
(- (* (pow x 2) (- (* (pow x 2) (- (* (pow x 2) (- (* 653/322560 (/ 1 (pow y 6))) (* 3/896 (/ 1 (pow y 6))))) (* 5/384 (/ 1 (pow y 4))))) (* 1/8 (/ 1 (pow y 2))))) 1)
(-.f64 (.f64 (-.f64 (.f64 (-.f64 (.f64 (.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 6 binary64))) #s(literal -61/46080 binary64)) (.f64 x x)) (/.f64 #s(literal 5/384 binary64) (pow.f64 y #s(literal 4 binary64)))) (.f64 x x)) (/.f64 #s(literal 1/8 binary64) (.f64 y y))) (.f64 x x)) #s(literal 1 binary64))
(* 1/2 (/ (pow x 2) (pow y 2)))
(.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 (.f64 x x) y))
(* (pow x 2) (+ (* -1/24 (/ (pow x 2) (pow y 4))) (* 1/2 (/ 1 (pow y 2)))))
(.f64 (fma.f64 #s(literal -1/24 binary64) (/.f64 (.f64 x x) (pow.f64 y #s(literal 4 binary64))) (/.f64 #s(literal 1/2 binary64) (.f64 y y))) (.f64 x x))
(* (pow x 2) (+ (* (pow x 2) (- (* 1/720 (/ (pow x 2) (pow y 6))) (* 1/24 (/ 1 (pow y 4))))) (* 1/2 (/ 1 (pow y 2)))))
(.f64 (fma.f64 (-.f64 (/.f64 (.f64 #s(literal 1/720 binary64) (.f64 x x)) (pow.f64 y #s(literal 6 binary64))) (/.f64 #s(literal 1/24 binary64) (pow.f64 y #s(literal 4 binary64)))) (.f64 x x) (/.f64 #s(literal 1/2 binary64) (.f64 y y))) (.f64 x x))
(* (pow x 2) (+ (* (pow x 2) (- (* (pow x 2) (+ (* -1/40320 (/ (pow x 2) (pow y 8))) (* 1/720 (/ 1 (pow y 6))))) (* 1/24 (/ 1 (pow y 4))))) (* 1/2 (/ 1 (pow y 2)))))
(.f64 (fma.f64 (-.f64 (.f64 (fma.f64 (/.f64 (.f64 x x) (pow.f64 y #s(literal 8 binary64))) #s(literal -1/40320 binary64) (/.f64 #s(literal 1/720 binary64) (pow.f64 y #s(literal 6 binary64)))) (.f64 x x)) (/.f64 #s(literal 1/24 binary64) (pow.f64 y #s(literal 4 binary64)))) (.f64 x x) (/.f64 #s(literal 1/2 binary64) (.f64 y y))) (*.f64 x x))
(+ 1 (* -1/2 (/ (pow x 2) (pow y 2))))
(fma.f64 (/.f64 #s(literal -1/2 binary64) y) (/.f64 (*.f64 x x) y) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (- (* 1/24 (/ (pow x 2) (pow y 4))) (* 1/2 (/ 1 (pow y 2))))))
(fma.f64 (-.f64 (/.f64 (.f64 #s(literal 1/24 binary64) (.f64 x x)) (pow.f64 y #s(literal 4 binary64))) (/.f64 #s(literal 1/2 binary64) (.f64 y y))) (.f64 x x) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ (* -1/720 (/ (pow x 2) (pow y 6))) (* 1/24 (/ 1 (pow y 4))))) (* 1/2 (/ 1 (pow y 2))))))
(fma.f64 (-.f64 (.f64 (fma.f64 #s(literal -1/720 binary64) (/.f64 (.f64 x x) (pow.f64 y #s(literal 6 binary64))) (/.f64 #s(literal 1/24 binary64) (pow.f64 y #s(literal 4 binary64)))) (.f64 x x)) (/.f64 #s(literal 1/2 binary64) (.f64 y y))) (*.f64 x x) #s(literal 1 binary64))
(* x (+ (* -1/48 (/ (pow x 2) (pow y 3))) (* 1/2 (/ 1 y))))
(.f64 (fma.f64 (/.f64 (.f64 x x) (pow.f64 y #s(literal 3 binary64))) #s(literal -1/48 binary64) (/.f64 #s(literal 1/2 binary64) y)) x)
(* x (+ (* (pow x 2) (- (* 1/3840 (/ (pow x 2) (pow y 5))) (* 1/48 (/ 1 (pow y 3))))) (* 1/2 (/ 1 y))))
(.f64 (fma.f64 (-.f64 (/.f64 (.f64 #s(literal 1/3840 binary64) (.f64 x x)) (pow.f64 y #s(literal 5 binary64))) (/.f64 #s(literal 1/48 binary64) (pow.f64 y #s(literal 3 binary64)))) (.f64 x x) (/.f64 #s(literal 1/2 binary64) y)) x)
(* x (+ (* (pow x 2) (- (* (pow x 2) (+ (* -1/645120 (/ (pow x 2) (pow y 7))) (* 1/3840 (/ 1 (pow y 5))))) (* 1/48 (/ 1 (pow y 3))))) (* 1/2 (/ 1 y))))
(.f64 (fma.f64 (-.f64 (.f64 (fma.f64 #s(literal -1/645120 binary64) (/.f64 (.f64 x x) (pow.f64 y #s(literal 7 binary64))) (/.f64 #s(literal 1/3840 binary64) (pow.f64 y #s(literal 5 binary64)))) (.f64 x x)) (/.f64 #s(literal 1/48 binary64) (pow.f64 y #s(literal 3 binary64)))) (*.f64 x x) (/.f64 #s(literal 1/2 binary64) y)) x)
(* -1 (/ x y))
(/.f64 (neg.f64 x) y)
(* x (- (* 1/6 (/ (pow x 2) (pow y 3))) (/ 1 y)))
(.f64 (-.f64 (/.f64 (.f64 #s(literal 1/6 binary64) (*.f64 x x)) (pow.f64 y #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) y)) x)
(* x (- (* (pow x 2) (+ (* -1/120 (/ (pow x 2) (pow y 5))) (* 1/6 (/ 1 (pow y 3))))) (/ 1 y)))
(.f64 (-.f64 (.f64 (fma.f64 #s(literal -1/120 binary64) (/.f64 (.f64 x x) (pow.f64 y #s(literal 5 binary64))) (/.f64 #s(literal 1/6 binary64) (pow.f64 y #s(literal 3 binary64)))) (.f64 x x)) (/.f64 #s(literal 1 binary64) y)) x)
(* x (- (* (pow x 2) (+ (* (pow x 2) (- (* 1/5040 (/ (pow x 2) (pow y 7))) (* 1/120 (/ 1 (pow y 5))))) (* 1/6 (/ 1 (pow y 3))))) (/ 1 y)))
(.f64 (-.f64 (.f64 (fma.f64 (-.f64 (/.f64 (.f64 #s(literal 1/5040 binary64) (.f64 x x)) (pow.f64 y #s(literal 7 binary64))) (/.f64 #s(literal 1/120 binary64) (pow.f64 y #s(literal 5 binary64)))) (.f64 x x) (/.f64 #s(literal 1/6 binary64) (pow.f64 y #s(literal 3 binary64)))) (.f64 x x)) (/.f64 #s(literal 1 binary64) y)) x)
(/ -1 (cos (- (PI) (* 1/2 (/ x y)))))
(/.f64 #s(literal -1 binary64) (cos.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 x y) (PI.f64))))
(/ 1 (cos (* 1/2 (/ x y))))
(/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y))))
(cos (- (PI) (* 1/2 (/ x y))))
(cos.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 x y) (PI.f64)))
(* x (- (/ (PI) x) (* 1/2 (/ 1 y))))
(*.f64 (-.f64 (/.f64 (PI.f64) x) (/.f64 #s(literal 1/2 binary64) y)) x)
(/ (sin (* -1/2 (/ x y))) (* (cos (* -1/2 (/ x y))) (sin (* 1/2 (/ x y)))))
(/.f64 (sin.f64 (.f64 #s(literal -1/2 binary64) (/.f64 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)))))
(sin (+ (* 1/2 (PI)) (* 1/2 (/ x y))))
(sin.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 x y) (PI.f64))))
(/ 1 (sin (+ (* 1/2 (PI)) (* 1/2 (/ x y)))))
(/.f64 #s(literal 1 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 x y) (PI.f64)))))
(* x (+ (* 1/2 (/ (PI) x)) (* 1/2 (/ 1 y))))
(*.f64 (fma.f64 (/.f64 (PI.f64) x) #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) y)) x)
(/ (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))))
(/ (- 1 (cos (/ x y))) (sin (* -1 (/ x y))))
(tan.f64 (/.f64 (/.f64 (neg.f64 x) y) #s(literal 2 binary64)))
(/ (- 1 (cos (/ x y))) (* (sin (* -1 (/ x y))) (sin (* 1/2 (/ x y)))))
(/.f64 (tan.f64 (/.f64 (/.f64 (neg.f64 x) y) #s(literal 2 binary64))) (sin.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y))))
(- 1 (cos (/ x y)))
(-.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x y)))
(cos (/ x y))
(cos.f64 (/.f64 x y))
(sin (* 1/2 (/ x y)))
(sin.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y)))
(sin (* -1 (/ x y)))
(sin.f64 (/.f64 (neg.f64 x) y))
(/ -1 (cos (+ (PI) (* -1/2 (/ x y)))))
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(* -1 (/ (- (+ (* -1/2 x) (+ (* -1/3840 (/ (pow x 5) (pow y 4))) (+ (* 1/645120 (/ (pow x 7) (pow y 6))) (* 1/48 (/ (pow x 3) (pow y 2)))))) (+ (* -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))
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(* -1 (/ (- (+ (* -1/24 (/ (pow x 3) (pow y 2))) (* 1/2 x)) (* -1/12 (/ (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 (/ (- (+ (* -1/24 (/ (pow x 3) (pow y 2))) (+ (* 1/720 (/ (pow x 5) (pow y 4))) (* 1/2 x))) (+ (* -1/6 (/ (* (pow x 2) (- (* -1/24 (pow x 3)) (* -1/12 (pow x 3)))) (pow y 4))) (+ (* -1/12 (/ (pow x 3) (pow y 2))) (* 1/240 (/ (pow x 5) (pow y 4)))))) y))
(/.f64 (-.f64 (fma.f64 (/.f64 #s(literal -1/24 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 1/720 binary64) (.f64 #s(literal 1/2 binary64) x))) (fma.f64 #s(literal -1/6 binary64) (/.f64 (.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/24 binary64)) (.f64 x x)) (pow.f64 y #s(literal 4 binary64))) (fma.f64 (/.f64 #s(literal -1/12 binary64) y) (/.f64 (pow.f64 x #s(literal 3 binary64)) y) (/.f64 (*.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 1/240 binary64)) (pow.f64 y #s(literal 4 binary64)))))) (neg.f64 y))
(* -1 (/ (- (+ (* -1/24 (/ (pow x 3) (pow y 2))) (+ (* -1/40320 (/ (pow x 7) (pow y 6))) (+ (* 1/720 (/ (pow x 5) (pow y 4))) (* 1/2 x)))) (+ (* -1/6 (/ (* (pow x 2) (- (* -1/24 (pow x 3)) (* -1/12 (pow x 3)))) (pow y 4))) (+ (* -1/6 (/ (* (pow x 2) (- (* 1/720 (pow x 5)) (+ (* -1/6 (* (pow x 2) (- (* -1/24 (pow x 3)) (* -1/12 (pow x 3))))) (* 1/240 (pow x 5))))) (pow y 6))) (+ (* -1/12 (/ (pow x 3) (pow y 2))) (+ (* -1/10080 (/ (pow x 7) (pow y 6))) (+ (* 1/240 (/ (pow x 5) (pow y 4))) (* 1/120 (/ (* (pow x 4) (- (* -1/24 (pow x 3)) (* -1/12 (pow x 3)))) (pow y 6))))))))) y))
(/.f64 (-.f64 (fma.f64 (/.f64 (pow.f64 x #s(literal 7 binary64)) (pow.f64 y #s(literal 6 binary64))) #s(literal -1/40320 binary64) (fma.f64 (/.f64 #s(literal -1/24 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 1/720 binary64) (.f64 #s(literal 1/2 binary64) x)))) (fma.f64 #s(literal -1/6 binary64) (fma.f64 (.f64 x x) (/.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/24 binary64)) (pow.f64 y #s(literal 4 binary64))) (/.f64 (.f64 (-.f64 (.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 1/720 binary64)) (fma.f64 (.f64 #s(literal -1/6 binary64) (.f64 x x)) (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/24 binary64)) (.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 1/240 binary64)))) (.f64 x x)) (pow.f64 y #s(literal 6 binary64)))) (fma.f64 #s(literal -1/12 binary64) (/.f64 (pow.f64 x #s(literal 3 binary64)) (.f64 y y)) (fma.f64 #s(literal -1/10080 binary64) (/.f64 (pow.f64 x #s(literal 7 binary64)) (pow.f64 y #s(literal 6 binary64))) (fma.f64 (/.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/24 binary64))) (pow.f64 y #s(literal 6 binary64))) #s(literal 1/120 binary64) (/.f64 (.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 1/240 binary64)) (pow.f64 y #s(literal 4 binary64)))))))) (neg.f64 y))
(* -1 (/ (+ (* -1/2 x) (* 1/48 (/ (pow x 3) (pow y 2)))) y))
(/.f64 (fma.f64 (/.f64 #s(literal 1/48 binary64) y) (/.f64 (pow.f64 x #s(literal 3 binary64)) y) (*.f64 #s(literal -1/2 binary64) x)) (neg.f64 y))
(* -1 (/ (+ (* -1/2 x) (+ (* -1/3840 (/ (pow x 5) (pow y 4))) (* 1/48 (/ (pow x 3) (pow y 2))))) y))
(/.f64 (fma.f64 (/.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))
(* -1 (/ (+ x (* -1/6 (/ (pow x 3) (pow y 2)))) y))
(/.f64 (fma.f64 (/.f64 #s(literal -1/6 binary64) y) (/.f64 (pow.f64 x #s(literal 3 binary64)) y) x) (neg.f64 y))
(* -1 (/ (+ x (+ (* -1/6 (/ (pow x 3) (pow y 2))) (* 1/120 (/ (pow x 5) (pow y 4))))) y))
(/.f64 (fma.f64 (/.f64 (pow.f64 x #s(literal 5 binary64)) (pow.f64 y #s(literal 4 binary64))) #s(literal 1/120 binary64) (fma.f64 (/.f64 #s(literal -1/6 binary64) y) (/.f64 (pow.f64 x #s(literal 3 binary64)) y) x)) (neg.f64 y))
(* -1 (/ (+ x (+ (* -1/6 (/ (pow x 3) (pow y 2))) (+ (* -1/5040 (/ (pow x 7) (pow y 6))) (* 1/120 (/ (pow x 5) (pow y 4)))))) y))
(/.f64 (+.f64 (fma.f64 #s(literal -1/5040 binary64) (/.f64 (pow.f64 x #s(literal 7 binary64)) (pow.f64 y #s(literal 6 binary64))) (/.f64 (*.f64 #s(literal 1/120 binary64) (pow.f64 x #s(literal 5 binary64))) (pow.f64 y #s(literal 4 binary64)))) (fma.f64 (/.f64 #s(literal -1/6 binary64) y) (/.f64 (pow.f64 x #s(literal 3 binary64)) y) x)) (neg.f64 y))

rewrite222.0ms (2.2%)

Memory

35.7MiB live, 223.3MiB allocated; 42ms collecting garbage

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	45	210
0	73	201
1	213	187
2	1256	187
0	8087	187

Stop Event

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

Counts

21 → 377

Calls

Call 1

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

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

eval110.0ms (1.1%)

Memory: 13.1MiB live, 252.0MiB allocated; 29ms collecting garbage
Compiler: Compiled 19 557 to 2 725 computations (86.1% saved)

prune85.0ms (0.8%)

Memory

-9.1MiB live, 243.1MiB allocated; 34ms collecting garbage

Pruning

48 alts after pruning (44 fresh and 4 done)

	Pruned	Kept	Total
New	484	33	517
Fresh	9	11	20
Picked	3	2	5
Done	0	2	2
Total	496	48	544

Accuracy

62.3%

Counts

544 → 48

Alt Table

Click to see full alt table

Status	Accuracy	Program
	4.8%	(/.f64 (pow.f64 (sin.f64 (/.f64 x y)) #s(literal 2 binary64)) (.f64 (+.f64 (cos.f64 (/.f64 x y)) #s(literal 1 binary64)) (.f64 (sin.f64 (/.f64 (neg.f64 x) y)) (sin.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64))))))
	5.6%	(/.f64 (/.f64 (-.f64 (pow.f64 (+.f64 (cos.f64 (/.f64 x y)) #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 (pow.f64 (cos.f64 (/.f64 x y)) #s(literal 2 binary64)) (+.f64 (cos.f64 (/.f64 x y)) #s(literal 1 binary64)))) (sin.f64 (/.f64 (neg.f64 x) y))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
	5.2%	(/.f64 (/.f64 (-.f64 (.f64 #s(literal -1 binary64) (sin.f64 (/.f64 x y))) (.f64 (sin.f64 (/.f64 x y)) (neg.f64 (cos.f64 (/.f64 x y))))) (pow.f64 (sin.f64 (/.f64 x y)) #s(literal 2 binary64))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
	5.1%	(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (sin.f64 (+.f64 (/.f64 (neg.f64 x) y) (/.f64 (PI.f64) #s(literal 2 binary64))))) (sin.f64 (/.f64 (neg.f64 x) y))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
	5.1%	(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (sin.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 x y)))) (sin.f64 (/.f64 (neg.f64 x) y))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
	5.7%	(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x y))) (sin.f64 (/.f64 (neg.f64 x) y))) (-.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))))))
	5.6%	(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x y))) (sin.f64 (/.f64 (neg.f64 x) y))) (sin.f64 (/.f64 x (+.f64 y y))))
	4.8%	(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x y))) (sin.f64 (/.f64 (neg.f64 x) y))) (cos.f64 (/.f64 (+.f64 (/.f64 (neg.f64 x) y) (PI.f64)) #s(literal 2 binary64))))
	7.5%	(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x y))) (sin.f64 (/.f64 x y))) #s(approx (sin (/ x (* y 2))) (sin.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x))))
	5.2%	(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x y))) (cos.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 x y)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
▶	5.6%	(/.f64 (-.f64 (/.f64 #s(literal -1 binary64) (sin.f64 (/.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)))))
	5.2%	(/.f64 (-.f64 (.f64 (/.f64 #s(literal -1 binary64) (sin.f64 (/.f64 x y))) (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 x y)) (sin.f64 (/.f64 (neg.f64 x) y))))) (*.f64 (sin.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64))) (sin.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64)))))
	5.2%	(/.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)))))
	5.5%	(/.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)))))
	4.6%	(/.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))))
	46.6%	(/.f64 (tan.f64 (/.f64 x (+.f64 y y))) #s(approx (sin (/ x (* y 2))) (sin.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x))))
	5.0%	(/.f64 (tan.f64 (/.f64 x (.f64 #s(literal -2 binary64) y))) (sin.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))))
	7.3%	(/.f64 (tan.f64 (+.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64)) (PI.f64))) #s(approx (sin (/ x (* y 2))) (sin.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x))))
▶	38.8%	(/.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)))
	35.6%	(/.f64 #s(approx (tan (/ x (* y 2))) (/.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))) 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)))
	5.1%	(-.f64 (/.f64 (/.f64 #s(literal -1 binary64) (sin.f64 (/.f64 x y))) (sin.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64)))) (/.f64 (/.f64 (cos.f64 (/.f64 x y)) (sin.f64 (/.f64 (neg.f64 x) y))) (sin.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64)))))
✓	5.6%	#s(approx (/ (tan (/ (/ x y) -2)) (sin (/ x (* y 2)))) #s(literal -1 binary64))
▶	50.5%	#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)))
	52.8%	#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 -1/2 binary64)) #s(literal 2 binary64)))
	54.2%	#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.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 2 binary64)) (pow.f64 (.f64 #s(literal 1 binary64) (cos.f64 (.f64 (/.f64 #s(literal 1/2 binary64) y) x))) #s(literal 2 binary64))) (sin.f64 (-.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x) (/.f64 (PI.f64) #s(literal 2 binary64)))))))
	54.4%	#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (-.f64 (cos.f64 (-.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 x y) (/.f64 (PI.f64) #s(literal 2 binary64))) (/.f64 (PI.f64) #s(literal 2 binary64)))) (cos.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) y) x (PI.f64)))) (+.f64 (sin.f64 (-.f64 (.f64 (/.f64 #s(literal 1/2 binary64) y) x) (/.f64 (PI.f64) #s(literal 2 binary64)))) (cos.f64 (.f64 (/.f64 #s(literal 1/2 binary64) y) x)))) #s(literal 2 binary64))))
	54.9%	#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (sin.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) y) x (/.f64 (PI.f64) #s(literal 2 binary64))))))
	54.7%	#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) (sin.f64 (/.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 (/.f64 x y) #s(literal 3 binary64)) (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64))) (fma.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64)) (.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (.f64 (/.f64 #s(literal 1/2 binary64) y) x))))))))
	53.1%	#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (sin.f64 (/.f64 (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) (pow.f64 (.f64 (/.f64 x y) #s(literal -1/2 binary64)) #s(literal 2 binary64))) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (.f64 (/.f64 #s(literal 1/2 binary64) y) x))))))
	54.6%	#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (sin.f64 (+.f64 (neg.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)) (/.f64 (PI.f64) #s(literal 2 binary64))))))
	54.8%	#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 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))))))
	54.8%	#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (sin.f64 #s(approx (+ (* (/ x y) 1/2) (/ (PI) 2)) (*.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 x y) (PI.f64)))))))
	54.2%	#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) x) y))))
	54.2%	#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 x y) (PI.f64)) (PI.f64)))))
✓	54.2%	#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x))))
	54.2%	#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 x y) #s(literal -1/2 binary64))) #s(literal -1 binary64)))))
	53.3%	#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal -1 binary64) (fma.f64 (cos.f64 (/.f64 (pow.f64 (.f64 (/.f64 x y) #s(literal -1/2 binary64)) #s(literal 2 binary64)) (fma.f64 (/.f64 x y) #s(literal -1/2 binary64) (neg.f64 (PI.f64))))) (cos.f64 (/.f64 (.f64 (PI.f64) (PI.f64)) (fma.f64 (/.f64 x y) #s(literal -1/2 binary64) (neg.f64 (PI.f64))))) (.f64 (sin.f64 (/.f64 (pow.f64 (.f64 (/.f64 x y) #s(literal -1/2 binary64)) #s(literal 2 binary64)) (fma.f64 (/.f64 x y) #s(literal -1/2 binary64) (neg.f64 (PI.f64))))) (sin.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) (fma.f64 (/.f64 x y) #s(literal -1/2 binary64) (neg.f64 (PI.f64)))))))))
	54.2%	#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal -1 binary64) (fma.f64 (cos.f64 (.f64 (/.f64 x y) #s(literal -1/2 binary64))) #s(literal -1 binary64) (.f64 (sin.f64 (*.f64 (/.f64 x y) #s(literal -1/2 binary64))) (sin.f64 (neg.f64 (PI.f64)))))))
▶	54.2%	#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal -1 binary64) (-.f64 (.f64 (cos.f64 (.f64 (/.f64 x y) #s(literal -1/2 binary64))) #s(literal -1 binary64)) (*.f64 (sin.f64 (fma.f64 (/.f64 x y) #s(literal -1/2 binary64) (PI.f64))) (sin.f64 (neg.f64 (PI.f64)))))))
	54.8%	#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal -1 binary64) (sin.f64 (+.f64 (+.f64 (fma.f64 (/.f64 x y) #s(literal -1/2 binary64) (+.f64 (PI.f64) (/.f64 (PI.f64) #s(literal 2 binary64)))) (PI.f64)) (PI.f64)))))
▶	55.2%	#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)))))
✓	55.2%	#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)))))
	53.3%	#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal -1 binary64) (cos.f64 (/.f64 (fma.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64)) (*.f64 (neg.f64 (PI.f64)) (PI.f64))) (fma.f64 (/.f64 x y) #s(literal -1/2 binary64) (neg.f64 (PI.f64)))))))
	48.7%	#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)))))
	52.8%	#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (+.f64 (cosh.f64 (.f64 (log.f64 (cos.f64 (.f64 (/.f64 #s(literal 1/2 binary64) y) x))) #s(literal -1 binary64))) (sinh.f64 (.f64 (log.f64 (cos.f64 (.f64 (/.f64 #s(literal 1/2 binary64) y) x))) #s(literal -1 binary64)))))
	52.7%	#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (exp.f64 (.f64 (log.f64 (cos.f64 (.f64 (/.f64 x y) #s(literal -1/2 binary64)))) #s(literal -1 binary64))))
✓	55.3%	#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(literal 1 binary64))

Compiler

Compiled 2 779 to 1 768 computations (36.4% saved)

simplify157.0ms (1.6%)

Memory

-42.7MiB live, 147.6MiB allocated; 30ms collecting garbage

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	62	492
0	109	444
1	189	439
2	413	435
3	1085	432
4	3725	432
5	7096	432
0	8169	429

Stop Event

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

Calls

Call 1

Inputs
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal -1 binary64) (cos.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) y) x (PI.f64)))))
(/.f64 #s(literal -1 binary64) (cos.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) y) x (PI.f64))))
#s(literal -1 binary64)
(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)
y
x
(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)
(/.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))) (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))))
(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)))
(pow.f64 (/.f64 x y) #s(literal 3 binary64))
(/.f64 x y)
x
y
#s(literal 3 binary64)
#s(literal 1/24 binary64)
(*.f64 (/.f64 x y) #s(literal 1/2 binary64))
#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))
(.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(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal -1 binary64) (-.f64 (.f64 (cos.f64 (.f64 (/.f64 x y) #s(literal -1/2 binary64))) #s(literal -1 binary64)) (*.f64 (sin.f64 (fma.f64 (/.f64 x y) #s(literal -1/2 binary64) (PI.f64))) (sin.f64 (neg.f64 (PI.f64)))))))
(/.f64 #s(literal -1 binary64) (-.f64 (.f64 (cos.f64 (.f64 (/.f64 x y) #s(literal -1/2 binary64))) #s(literal -1 binary64)) (*.f64 (sin.f64 (fma.f64 (/.f64 x y) #s(literal -1/2 binary64) (PI.f64))) (sin.f64 (neg.f64 (PI.f64))))))
#s(literal -1 binary64)
(-.f64 (.f64 (cos.f64 (.f64 (/.f64 x y) #s(literal -1/2 binary64))) #s(literal -1 binary64)) (*.f64 (sin.f64 (fma.f64 (/.f64 x y) #s(literal -1/2 binary64) (PI.f64))) (sin.f64 (neg.f64 (PI.f64)))))
(.f64 (cos.f64 (.f64 (/.f64 x y) #s(literal -1/2 binary64))) #s(literal -1 binary64))
(cos.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)
(*.f64 (sin.f64 (fma.f64 (/.f64 x y) #s(literal -1/2 binary64) (PI.f64))) (sin.f64 (neg.f64 (PI.f64))))
(sin.f64 (fma.f64 (/.f64 x y) #s(literal -1/2 binary64) (PI.f64)))
(fma.f64 (/.f64 x y) #s(literal -1/2 binary64) (PI.f64))
(PI.f64)
(sin.f64 (neg.f64 (PI.f64)))
(neg.f64 (PI.f64))
(/.f64 (-.f64 (/.f64 #s(literal -1 binary64) (sin.f64 (/.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)))))
(-.f64 (/.f64 #s(literal -1 binary64) (sin.f64 (/.f64 x y))) (/.f64 (cos.f64 (/.f64 x y)) (sin.f64 (/.f64 (neg.f64 x) y))))
(/.f64 #s(literal -1 binary64) (sin.f64 (/.f64 x y)))
#s(literal -1 binary64)
(sin.f64 (/.f64 x y))
(/.f64 x y)
x
y
(/.f64 (cos.f64 (/.f64 x y)) (sin.f64 (/.f64 (neg.f64 x) y)))
(cos.f64 (/.f64 x y))
(sin.f64 (/.f64 (neg.f64 x) y))
(/.f64 (neg.f64 x) y)
(neg.f64 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) (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) (cos.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y)))))
(/.f64 #s(literal -1 binary64) (cos.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) y) x (PI.f64))))
(/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y))))
#s(literal -1 binary64)
(cos.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) y) x (PI.f64)))
(cos.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 x y) (PI.f64)))
(fma.f64 (/.f64 #s(literal 1/2 binary64) y) x (PI.f64))
(/.f64 #s(literal 1/2 binary64) y)
#s(literal 1/2 binary64)
y
x
(PI.f64)
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (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 x y) (/.f64 (*.f64 #s(literal 1/8 binary64) 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 x y) (/.f64 (*.f64 #s(literal 1/8 binary64) 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)
(/.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)))
(/.f64 #s(approx (tan (/ x (* y 2))) (fma.f64 #s(literal 1/24 binary64) (pow.f64 (/.f64 x y) #s(literal 3 binary64)) (.f64 (/.f64 x y) #s(literal 1/2 binary64)))) #s(approx (sin (/ x ( y 2))) (fma.f64 #s(literal -1/48 binary64) (pow.f64 (/.f64 x y) #s(literal 3 binary64)) (*.f64 (/.f64 x y) #s(literal 1/2 binary64)))))
#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 (tan (/ x (* y 2))) (fma.f64 #s(literal 1/24 binary64) (pow.f64 (/.f64 x y) #s(literal 3 binary64)) (*.f64 (/.f64 x y) #s(literal 1/2 binary64))))
(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)))
(fma.f64 #s(literal 1/24 binary64) (pow.f64 (/.f64 x y) #s(literal 3 binary64)) (*.f64 (/.f64 x y) #s(literal 1/2 binary64)))
(pow.f64 (/.f64 x y) #s(literal 3 binary64))
(/.f64 x y)
x
y
#s(literal 3 binary64)
#s(literal 1/24 binary64)
(*.f64 (/.f64 x y) #s(literal 1/2 binary64))
#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 (sin (/ x (* y 2))) (fma.f64 #s(literal -1/48 binary64) (pow.f64 (/.f64 x y) #s(literal 3 binary64)) (*.f64 (/.f64 x y) #s(literal 1/2 binary64))))
(.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 #s(literal -1/48 binary64) (pow.f64 (/.f64 x y) #s(literal 3 binary64)) (*.f64 (/.f64 x y) #s(literal 1/2 binary64)))
(/.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 y) x) #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 y) x) #s(literal 1/2 binary64))
(/.f64 (*.f64 x x) y)
(*.f64 (/.f64 x y) x)
(*.f64 x x)
(/.f64 #s(literal -1/48 binary64) y)
#s(literal -1/48 binary64)
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal -1 binary64) (-.f64 (.f64 (cos.f64 (.f64 (/.f64 x y) #s(literal -1/2 binary64))) #s(literal -1 binary64)) (*.f64 (sin.f64 (fma.f64 (/.f64 x y) #s(literal -1/2 binary64) (PI.f64))) (sin.f64 (neg.f64 (PI.f64)))))))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y)))))
(/.f64 #s(literal -1 binary64) (-.f64 (.f64 (cos.f64 (.f64 (/.f64 x y) #s(literal -1/2 binary64))) #s(literal -1 binary64)) (*.f64 (sin.f64 (fma.f64 (/.f64 x y) #s(literal -1/2 binary64) (PI.f64))) (sin.f64 (neg.f64 (PI.f64))))))
(/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y))))
#s(literal -1 binary64)
(-.f64 (.f64 (cos.f64 (.f64 (/.f64 x y) #s(literal -1/2 binary64))) #s(literal -1 binary64)) (*.f64 (sin.f64 (fma.f64 (/.f64 x y) #s(literal -1/2 binary64) (PI.f64))) (sin.f64 (neg.f64 (PI.f64)))))
(cos.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 x y) (PI.f64)))
(.f64 (cos.f64 (.f64 (/.f64 x y) #s(literal -1/2 binary64))) #s(literal -1 binary64))
(cos.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 x y) (PI.f64)))
(cos.f64 (*.f64 (/.f64 x y) #s(literal -1/2 binary64)))
(cos.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y)))
(*.f64 (/.f64 x y) #s(literal -1/2 binary64))
(*.f64 #s(literal -1/2 binary64) (/.f64 x y))
(/.f64 x y)
x
y
#s(literal -1/2 binary64)
(*.f64 (sin.f64 (fma.f64 (/.f64 x y) #s(literal -1/2 binary64) (PI.f64))) (sin.f64 (neg.f64 (PI.f64))))
#s(literal 0 binary64)
(sin.f64 (fma.f64 (/.f64 x y) #s(literal -1/2 binary64) (PI.f64)))
(sin.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64)))
(fma.f64 (/.f64 x y) #s(literal -1/2 binary64) (PI.f64))
(fma.f64 #s(literal -1/2 binary64) (/.f64 x y) (PI.f64))
(PI.f64)
(sin.f64 (neg.f64 (PI.f64)))
#s(literal 0 binary64)
(neg.f64 (PI.f64))
(/.f64 (-.f64 (/.f64 #s(literal -1 binary64) (sin.f64 (/.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)))))
(/.f64 (-.f64 (/.f64 #s(literal -1 binary64) (sin.f64 (/.f64 x y))) (/.f64 (cos.f64 (/.f64 x y)) (sin.f64 (/.f64 (neg.f64 x) y)))) (sin.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64))))
(-.f64 (/.f64 #s(literal -1 binary64) (sin.f64 (/.f64 x y))) (/.f64 (cos.f64 (/.f64 x y)) (sin.f64 (/.f64 (neg.f64 x) y))))
(/.f64 #s(literal -1 binary64) (sin.f64 (/.f64 x y)))
#s(literal -1 binary64)
(sin.f64 (/.f64 x y))
(/.f64 x y)
x
y
(/.f64 (cos.f64 (/.f64 x y)) (sin.f64 (/.f64 (neg.f64 x) y)))
(cos.f64 (/.f64 x y))
(sin.f64 (/.f64 (neg.f64 x) y))
(/.f64 (neg.f64 x) y)
(neg.f64 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)

localize906.0ms (9.1%)

Memory

1.8MiB live, 1 219.5MiB allocated; 194ms collecting garbage

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	28.81771557306004	(sin.f64 (/.f64 x y))
accuracy	28.86538410569405	(sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))
accuracy	29.02953963838686	(cos.f64 (/.f64 x y))
accuracy	29.80343116830619	(-.f64 (/.f64 #s(literal -1 binary64) (sin.f64 (/.f64 x y))) (/.f64 (cos.f64 (/.f64 x y)) (sin.f64 (/.f64 (neg.f64 x) y))))
accuracy	0.0859375	(/.f64 #s(literal -1 binary64) (-.f64 (.f64 (cos.f64 (.f64 (/.f64 x y) #s(literal -1/2 binary64))) #s(literal -1 binary64)) (*.f64 (sin.f64 (fma.f64 (/.f64 x y) #s(literal -1/2 binary64) (PI.f64))) (sin.f64 (neg.f64 (PI.f64))))))
accuracy	29.17419895079662	(cos.f64 (*.f64 (/.f64 x y) #s(literal -1/2 binary64)))
accuracy	57.43769451277177	(sin.f64 (fma.f64 (/.f64 x y) #s(literal -1/2 binary64) (PI.f64)))
accuracy	61.92199421717352	(sin.f64 (neg.f64 (PI.f64)))
accuracy	4.75786476996568	(/.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)))
accuracy	8.654526902617478	(/.f64 (*.f64 x x) y)
accuracy	31.7859203478054	#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	31.821557165908615	#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))))
accuracy	0.0	(*.f64 #s(literal 1/8 binary64) x)
accuracy	0.00390625	(/.f64 (*.f64 #s(literal 1/8 binary64) x) y)
accuracy	0.12109375	(fma.f64 (/.f64 (*.f64 #s(literal 1/8 binary64) x) y) (/.f64 x y) #s(literal 1 binary64))
accuracy	31.67398499238919	#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	0.0	#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)))))
accuracy	0.0859375	(/.f64 #s(literal -1 binary64) (cos.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) y) x (PI.f64))))
accuracy	0.109375	(fma.f64 (/.f64 #s(literal 1/2 binary64) y) x (PI.f64))
accuracy	28.58954410486506	(cos.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) y) x (PI.f64)))

Samples

374.0ms	132×	2	valid
310.0ms	120×	1	valid
84.0ms	4×	3	valid

Compiler

Compiled 407 to 59 computations (85.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 580.0ms

ival-sin: 211.0ms (36.4% of total)

ival-div: 148.0ms (25.5% of total)

adjust: 66.0ms (11.4% of total)

ival-cos: 51.0ms (8.8% of total)

ival-mult: 38.0ms (6.5% of total)

const: 19.0ms (3.3% of total)

ival-add: 19.0ms (3.3% of total)

ival-tan: 7.0ms (1.2% of total)

ival-sub: 6.0ms (1% of total)

ival-pow: 6.0ms (1% of total)

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

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

exact: 1.0ms (0.2% of total)

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

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

series110.0ms (1.1%)

Memory

20.7MiB live, 108.1MiB allocated; 28ms collecting garbage

Counts

26 → 173

Calls

Call 1

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

Outputs
(/ -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 (+ (* -1/48 (/ (sin (PI)) (* (pow y 3) (pow (cos (PI)) 2)))) (+ (* 1/16 (/ (sin (PI)) (* (pow y 3) (pow (cos (PI)) 2)))) (* 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))))))))) (+ (* 1/8 (/ 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))))
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))))))
(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)))
(* 1/8 (/ x y))
(* 1/8 x)
(* 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))))
(* (sin (PI)) (sin (neg (PI))))
(+ (* -1/2 (/ (* x (* (cos (PI)) (sin (neg (PI))))) y)) (* (sin (PI)) (sin (neg (PI)))))
(+ (* x (+ (* -1/2 (/ (* (cos (PI)) (sin (neg (PI)))) y)) (* -1/8 (/ (* x (* (sin (PI)) (sin (neg (PI))))) (pow y 2))))) (* (sin (PI)) (sin (neg (PI)))))
(+ (* x (+ (* -1/2 (/ (* (cos (PI)) (sin (neg (PI)))) y)) (* x (+ (* -1/8 (/ (* (sin (PI)) (sin (neg (PI)))) (pow y 2))) (* 1/48 (/ (* x (* (cos (PI)) (sin (neg (PI))))) (pow y 3))))))) (* (sin (PI)) (sin (neg (PI)))))
(* -1 (+ 1 (* (sin (PI)) (sin (neg (PI))))))
(- (* 1/2 (/ (* x (* (cos (PI)) (sin (neg (PI))))) y)) (+ 1 (* (sin (PI)) (sin (neg (PI))))))
(- (* x (- (* x (- (* 1/8 (/ 1 (pow y 2))) (* -1/8 (/ (* (sin (PI)) (sin (neg (PI)))) (pow y 2))))) (* -1/2 (/ (* (cos (PI)) (sin (neg (PI)))) y)))) (+ 1 (* (sin (PI)) (sin (neg (PI))))))
(- (* x (- (* x (- (+ (* -1/48 (/ (* x (* (cos (PI)) (sin (neg (PI))))) (pow y 3))) (* 1/8 (/ 1 (pow y 2)))) (* -1/8 (/ (* (sin (PI)) (sin (neg (PI)))) (pow y 2))))) (* -1/2 (/ (* (cos (PI)) (sin (neg (PI)))) y)))) (+ 1 (* (sin (PI)) (sin (neg (PI))))))
(/ 1 (+ 1 (* (sin (PI)) (sin (neg (PI))))))
(+ (* 1/2 (/ (* x (* (cos (PI)) (sin (neg (PI))))) (* y (pow (+ 1 (* (sin (PI)) (sin (neg (PI))))) 2)))) (/ 1 (+ 1 (* (sin (PI)) (sin (neg (PI)))))))
(+ (* x (- (* -1 (* x (+ (* -1 (/ (- (* 1/8 (/ 1 (pow y 2))) (* -1/8 (/ (* (sin (PI)) (sin (neg (PI)))) (pow y 2)))) (pow (+ 1 (* (sin (PI)) (sin (neg (PI))))) 2))) (* -1/4 (/ (* (pow (cos (PI)) 2) (pow (sin (neg (PI))) 2)) (* (pow y 2) (pow (+ 1 (* (sin (PI)) (sin (neg (PI))))) 3))))))) (* -1/2 (/ (* (cos (PI)) (sin (neg (PI)))) (* y (pow (+ 1 (* (sin (PI)) (sin (neg (PI))))) 2)))))) (/ 1 (+ 1 (* (sin (PI)) (sin (neg (PI)))))))
(+ (* x (- (* x (- (* -1 (* x (+ (* -1/2 (/ (* (cos (PI)) (* (sin (neg (PI))) (- (* 1/8 (/ 1 (pow y 2))) (* -1/8 (/ (* (sin (PI)) (sin (neg (PI)))) (pow y 2)))))) (* y (pow (+ 1 (* (sin (PI)) (sin (neg (PI))))) 3)))) (+ (* 1/48 (/ (* (cos (PI)) (sin (neg (PI)))) (* (pow y 3) (pow (+ 1 (* (sin (PI)) (sin (neg (PI))))) 2)))) (* 1/2 (/ (* (cos (PI)) (* (sin (neg (PI))) (+ (* -1 (/ (- (* 1/8 (/ 1 (pow y 2))) (* -1/8 (/ (* (sin (PI)) (sin (neg (PI)))) (pow y 2)))) (pow (+ 1 (* (sin (PI)) (sin (neg (PI))))) 2))) (* -1/4 (/ (* (pow (cos (PI)) 2) (pow (sin (neg (PI))) 2)) (* (pow y 2) (pow (+ 1 (* (sin (PI)) (sin (neg (PI))))) 3))))))) (* y (+ 1 (* (sin (PI)) (sin (neg (PI)))))))))))) (+ (* -1 (/ (- (* 1/8 (/ 1 (pow y 2))) (* -1/8 (/ (* (sin (PI)) (sin (neg (PI)))) (pow y 2)))) (pow (+ 1 (* (sin (PI)) (sin (neg (PI))))) 2))) (* -1/4 (/ (* (pow (cos (PI)) 2) (pow (sin (neg (PI))) 2)) (* (pow y 2) (pow (+ 1 (* (sin (PI)) (sin (neg (PI))))) 3))))))) (* -1/2 (/ (* (cos (PI)) (sin (neg (PI)))) (* y (pow (+ 1 (* (sin (PI)) (sin (neg (PI))))) 2)))))) (/ 1 (+ 1 (* (sin (PI)) (sin (neg (PI)))))))
(* -2 (/ (* y (+ y (* -1 y))) (pow x 2)))
(/ (+ (* -2 (* y (+ y (* -1 y)))) (* -1 (* (pow x 2) (- 1 (* -1/12 (/ (+ y (* -1 y)) y)))))) (pow x 2))
(/ (+ (* -2 (* y (+ y (* -1 y)))) (* (pow x 2) (+ (* -1 (* (pow x 2) (- (* 1/12 (/ 1 (pow y 2))) (+ (* -1/24 (/ (- 1 (* -1/12 (/ (+ y (* -1 y)) y))) (pow y 2))) (* 1/960 (/ (+ y (* -1 y)) (pow y 3))))))) (* -1 (- 1 (* -1/12 (/ (+ y (* -1 y)) y))))))) (pow x 2))
(/ (+ (* -2 (* y (+ y (* -1 y)))) (* (pow x 2) (+ (* -1 (- 1 (* -1/12 (/ (+ y (* -1 y)) y)))) (* (pow x 2) (+ (* -1 (* (pow x 2) (- (* 1/120 (/ 1 (pow y 4))) (+ (* -1/24 (/ (- (* 1/12 (/ 1 (pow y 2))) (+ (* -1/24 (/ (- 1 (* -1/12 (/ (+ y (* -1 y)) y))) (pow y 2))) (* 1/960 (/ (+ y (* -1 y)) (pow y 3))))) (pow y 2))) (+ (* -1/161280 (/ (+ y (* -1 y)) (pow y 5))) (* 1/1920 (/ (- 1 (* -1/12 (/ (+ y (* -1 y)) y))) (pow y 4)))))))) (* -1 (- (* 1/12 (/ 1 (pow y 2))) (+ (* -1/24 (/ (- 1 (* -1/12 (/ (+ y (* -1 y)) y))) (pow y 2))) (* 1/960 (/ (+ y (* -1 y)) (pow y 3))))))))))) (pow x 2))
(* -1 (/ (+ y (* -1 y)) x))
(/ (- (* -1/2 (/ (pow x 2) y)) (+ y (* -1 y))) x)
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(+ 1 (+ (* -1/2 (/ (pow x 2) (pow y 2))) (* 1/24 (/ (pow x 4) (pow y 4)))))
(+ 1 (+ (* -1/2 (/ (pow x 2) (pow y 2))) (+ (* -1/720 (/ (pow x 6) (pow y 6))) (* 1/24 (/ (pow x 4) (pow y 4))))))
(- (* -1 (/ (- (+ (* 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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(- (+ 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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(+ (cos (PI)) (* -1 (/ (- (* 1/8 (/ (* (pow x 2) (cos (PI))) y)) (* -1/2 (* x (sin (PI))))) y)))
(+ (cos (PI)) (* -1 (/ (- (* -1 (/ (+ (* -1/8 (* (pow x 2) (cos (PI)))) (* 1/48 (/ (* (pow x 3) (sin (PI))) y))) y)) (* -1/2 (* x (sin (PI))))) y)))
(* -1 (/ (+ (* -1/2 x) (* 1/48 (/ (pow x 3) (pow y 2)))) y))
(* -1 (/ (- (+ (* -1/2 x) (* 1/48 (/ (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))
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(* -1 (/ (+ (* -1/2 x) (* -1/24 (/ (pow x 3) (pow y 2)))) y))
(+ (* -1 (/ (+ (* 1/8 (/ (* (pow x 2) (* (sin (PI)) (sin (neg (PI))))) y)) (* 1/2 (* x (* (cos (PI)) (sin (neg (PI))))))) y)) (* (sin (PI)) (sin (neg (PI)))))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (* (pow x 2) (* (sin (PI)) (sin (neg (PI)))))) (* 1/48 (/ (* (pow x 3) (* (cos (PI)) (sin (neg (PI))))) y))) y)) (* 1/2 (* x (* (cos (PI)) (sin (neg (PI))))))) y)) (* (sin (PI)) (sin (neg (PI)))))
(- (* -1 (/ (- (* -1 (/ (- (* 1/8 (pow x 2)) (* -1/8 (* (pow x 2) (* (sin (PI)) (sin (neg (PI))))))) y)) (* 1/2 (* x (* (cos (PI)) (sin (neg (PI))))))) y)) (+ 1 (* (sin (PI)) (sin (neg (PI))))))
(- (* -1 (/ (- (* -1 (/ (- (+ (* -1/48 (/ (* (pow x 3) (* (cos (PI)) (sin (neg (PI))))) y)) (* 1/8 (pow x 2))) (* -1/8 (* (pow x 2) (* (sin (PI)) (sin (neg (PI))))))) y)) (* 1/2 (* x (* (cos (PI)) (sin (neg (PI))))))) y)) (+ 1 (* (sin (PI)) (sin (neg (PI))))))
(+ (* -1 (/ (- (+ (* -1 (/ (- (* 1/8 (pow x 2)) (* -1/8 (* (pow x 2) (* (sin (PI)) (sin (neg (PI))))))) (* y (pow (+ 1 (* (sin (PI)) (sin (neg (PI))))) 2)))) (* -1/4 (/ (* (pow x 2) (* (pow (cos (PI)) 2) (pow (sin (neg (PI))) 2))) (* y (pow (+ 1 (* (sin (PI)) (sin (neg (PI))))) 3))))) (* 1/2 (/ (* x (* (cos (PI)) (sin (neg (PI))))) (pow (+ 1 (* (sin (PI)) (sin (neg (PI))))) 2)))) y)) (/ 1 (+ 1 (* (sin (PI)) (sin (neg (PI)))))))
(+ (* -1 (/ (- (* -1 (/ (- (+ (* -1/2 (/ (* x (* (cos (PI)) (* (sin (neg (PI))) (+ (* -1 (/ (- (* 1/8 (pow x 2)) (* -1/8 (* (pow x 2) (* (sin (PI)) (sin (neg (PI))))))) (pow (+ 1 (* (sin (PI)) (sin (neg (PI))))) 2))) (* -1/4 (/ (* (pow x 2) (* (pow (cos (PI)) 2) (pow (sin (neg (PI))) 2))) (pow (+ 1 (* (sin (PI)) (sin (neg (PI))))) 3))))))) (* y (+ 1 (* (sin (PI)) (sin (neg (PI)))))))) (+ (* -1/48 (/ (* (pow x 3) (* (cos (PI)) (sin (neg (PI))))) (* y (pow (+ 1 (* (sin (PI)) (sin (neg (PI))))) 2)))) (* 1/2 (/ (* x (* (cos (PI)) (* (sin (neg (PI))) (- (* 1/8 (pow x 2)) (* -1/8 (* (pow x 2) (* (sin (PI)) (sin (neg (PI)))))))))) (* y (pow (+ 1 (* (sin (PI)) (sin (neg (PI))))) 3)))))) (+ (* -1 (/ (- (* 1/8 (pow x 2)) (* -1/8 (* (pow x 2) (* (sin (PI)) (sin (neg (PI))))))) (pow (+ 1 (* (sin (PI)) (sin (neg (PI))))) 2))) (* -1/4 (/ (* (pow x 2) (* (pow (cos (PI)) 2) (pow (sin (neg (PI))) 2))) (pow (+ 1 (* (sin (PI)) (sin (neg (PI))))) 3))))) y)) (* 1/2 (/ (* x (* (cos (PI)) (sin (neg (PI))))) (pow (+ 1 (* (sin (PI)) (sin (neg (PI))))) 2)))) y)) (/ 1 (+ 1 (* (sin (PI)) (sin (neg (PI)))))))
(* 2 (/ (- (* -1/2 x) (+ (* -1/6 x) (* 1/6 x))) x))
(+ (* -1 (/ (- (* -2 (/ (- (* 1/24 (pow x 3)) (+ (* -1/6 (* (pow x 2) (- (* -1/2 x) (* -1/6 x)))) (+ (* -1/120 (pow x 3)) (+ (* 1/120 (pow x 3)) (* 1/36 (pow x 3)))))) x)) (* 1/12 (* x (- (* -1/2 x) (+ (* -1/6 x) (* 1/6 x)))))) (pow y 2))) (* 2 (/ (- (* -1/2 x) (+ (* -1/6 x) (* 1/6 x))) x)))
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(+ (* -1 (/ (- (* -2 (/ (- (* 1/40320 (pow x 7)) (+ (* -1/6 (* (pow x 2) (- (* -1/720 (pow x 5)) (+ (* -1/6 (* (pow x 2) (- (* 1/24 (pow x 3)) (+ (* -1/6 (* (pow x 2) (- (* -1/2 x) (* -1/6 x)))) (* 1/120 (pow x 3)))))) (+ (* -1/5040 (pow x 5)) (* 1/120 (* (pow x 4) (- (* -1/2 x) (* -1/6 x))))))))) (+ (* -1/120 (* (pow x 4) (+ (* -1/120 (pow x 3)) (* 1/36 (pow x 3))))) (+ (* -1/5040 (* (pow x 6) (- (* -1/2 x) (* -1/6 x)))) (+ (* -1/362880 (pow x 7)) (+ (* 1/362880 (pow x 7)) (+ (* 1/30240 (pow x 7)) (+ (* 1/120 (* (pow x 4) (- (* 1/24 (pow x 3)) (+ (* -1/6 (* (pow x 2) (- (* -1/2 x) (* -1/6 x)))) (* 1/120 (pow x 3)))))) (* 1/6 (* (pow x 2) (+ (* -1/720 (pow x 5)) (+ (* 1/5040 (pow x 5)) (* 1/6 (* (pow x 2) (+ (* -1/120 (pow x 3)) (* 1/36 (pow x 3))))))))))))))))) x)) (+ (* -1/24 (* (pow x 2) (- (* 2 (/ (+ (* -1/6 (* (pow x 2) (- (* 1/24 (pow x 3)) (+ (* -1/6 (* (pow x 2) (- (* -1/2 x) (* -1/6 x)))) (* 1/120 (pow x 3)))))) (+ (* -1/5040 (pow x 5)) (+ (* 1/5040 (pow x 5)) (+ (* 1/120 (* (pow x 4) (- (* -1/2 x) (* -1/6 x)))) (* 1/6 (* (pow x 2) (+ (* -1/120 (pow x 3)) (* 1/36 (pow x 3))))))))) x)) (+ (* -1/24 (* (pow x 2) (- (* -2 (/ (- (* 1/24 (pow x 3)) (+ (* -1/6 (* (pow x 2) (- (* -1/2 x) (* -1/6 x)))) (+ (* -1/120 (pow x 3)) (+ (* 1/120 (pow x 3)) (* 1/36 (pow x 3)))))) x)) (* 1/12 (* x (- (* -1/2 x) (+ (* -1/6 x) (* 1/6 x)))))))) (* -1/960 (* (pow x 3) (- (* -1/2 x) (+ (* -1/6 x) (* 1/6 x))))))))) (+ (* 1/161280 (* (pow x 5) (- (* -1/2 x) (+ (* -1/6 x) (* 1/6 x))))) (* 1/1920 (* (pow x 4) (- (* -2 (/ (- (* 1/24 (pow x 3)) (+ (* -1/6 (* (pow x 2) (- (* -1/2 x) (* -1/6 x)))) (+ (* -1/120 (pow x 3)) (+ (* 1/120 (pow x 3)) (* 1/36 (pow x 3)))))) x)) (* 1/12 (* x (- (* -1/2 x) (+ (* -1/6 x) (* 1/6 x))))))))))) (pow y 6))) (+ (* -1 (/ (- (* -2 (/ (- (* 1/24 (pow x 3)) (+ (* -1/6 (* (pow x 2) (- (* -1/2 x) (* -1/6 x)))) (+ (* -1/120 (pow x 3)) (+ (* 1/120 (pow x 3)) (* 1/36 (pow x 3)))))) x)) (* 1/12 (* x (- (* -1/2 x) (+ (* -1/6 x) (* 1/6 x)))))) (pow y 2))) (+ (* -1 (/ (- (* 2 (/ (+ (* -1/6 (* (pow x 2) (- (* 1/24 (pow x 3)) (+ (* -1/6 (* (pow x 2) (- (* -1/2 x) (* -1/6 x)))) (* 1/120 (pow x 3)))))) (+ (* -1/5040 (pow x 5)) (+ (* 1/5040 (pow x 5)) (+ (* 1/120 (* (pow x 4) (- (* -1/2 x) (* -1/6 x)))) (* 1/6 (* (pow x 2) (+ (* -1/120 (pow x 3)) (* 1/36 (pow x 3))))))))) x)) (+ (* -1/24 (* (pow x 2) (- (* -2 (/ (- (* 1/24 (pow x 3)) (+ (* -1/6 (* (pow x 2) (- (* -1/2 x) (* -1/6 x)))) (+ (* -1/120 (pow x 3)) (+ (* 1/120 (pow x 3)) (* 1/36 (pow x 3)))))) x)) (* 1/12 (* x (- (* -1/2 x) (+ (* -1/6 x) (* 1/6 x)))))))) (* -1/960 (* (pow x 3) (- (* -1/2 x) (+ (* -1/6 x) (* 1/6 x))))))) (pow y 4))) (* 2 (/ (- (* -1/2 x) (+ (* -1/6 x) (* 1/6 x))) x)))))
(* -1 (/ (- (+ (* -1/6 x) (* 1/6 x)) (* -1/2 x)) y))
(* -1 (/ (- (+ (* -1/6 x) (+ (* -1/6 (/ (* (pow x 2) (- (* -1/2 x) (* -1/6 x))) (pow y 2))) (+ (* -1/120 (/ (pow x 3) (pow y 2))) (+ (* 1/120 (/ (pow x 3) (pow y 2))) (+ (* 1/36 (/ (pow x 3) (pow y 2))) (* 1/6 x)))))) (+ (* -1/2 x) (* 1/24 (/ (pow x 3) (pow y 2))))) y))
(* -1 (/ (- (+ (* -1/6 x) (+ (* -1/6 (/ (* (pow x 2) (- (* -1/2 x) (* -1/6 x))) (pow y 2))) (+ (* -1/6 (/ (* (pow x 2) (- (* 1/24 (pow x 3)) (+ (* -1/6 (* (pow x 2) (- (* -1/2 x) (* -1/6 x)))) (* 1/120 (pow x 3))))) (pow y 4))) (+ (* -1/120 (/ (pow x 3) (pow y 2))) (+ (* -1/5040 (/ (pow x 5) (pow y 4))) (+ (* 1/5040 (/ (pow x 5) (pow y 4))) (+ (* 1/120 (/ (* (pow x 4) (- (* -1/2 x) (* -1/6 x))) (pow y 4))) (+ (* 1/120 (/ (pow x 3) (pow y 2))) (+ (* 1/36 (/ (pow x 3) (pow y 2))) (+ (* 1/6 x) (* 1/6 (/ (* (pow x 2) (+ (* -1/120 (pow x 3)) (* 1/36 (pow x 3)))) (pow y 4))))))))))))) (+ (* -1/2 x) (* 1/24 (/ (pow x 3) (pow y 2))))) y))
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(* -1 (* y (+ (* 1/6 (/ x (pow y 2))) (/ 1 x))))
(* -1 (* y (- (+ (* -1 (/ (+ (* -1/36 (pow x 3)) (* 1/120 (pow x 3))) (pow y 4))) (/ 1 x)) (* -1/6 (/ x (pow y 2))))))
(* -1 (* y (- (+ (* -1 (/ (+ (* -1/5040 (pow x 5)) (+ (* 1/720 (pow x 5)) (* 1/6 (* (pow x 2) (+ (* -1/36 (pow x 3)) (* 1/120 (pow x 3))))))) (pow y 6))) (/ 1 x)) (+ (* -1/6 (/ x (pow y 2))) (+ (* -1/36 (/ (pow x 3) (pow y 4))) (* 1/120 (/ (pow x 3) (pow y 4))))))))
(* -1 (/ (+ (* -1 x) (* 1/6 (/ (pow x 3) (pow y 2)))) y))
(* -1 (/ (+ (* -1 x) (+ (* -1/120 (/ (pow x 5) (pow y 4))) (* 1/6 (/ (pow x 3) (pow y 2))))) y))
(* -1 (/ (+ (* -1 x) (+ (* -1/120 (/ (pow x 5) (pow y 4))) (+ (* 1/5040 (/ (pow x 7) (pow y 6))) (* 1/6 (/ (pow x 3) (pow y 2)))))) y))
(* -1 (/ (+ (* -1/2 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))
(+ (sin (PI)) (* -1 (/ (+ (* 1/8 (/ (* (pow x 2) (sin (PI))) y)) (* 1/2 (* x (cos (PI))))) y)))
(+ (sin (PI)) (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (* (pow x 2) (sin (PI)))) (* 1/48 (/ (* (pow x 3) (cos (PI))) y))) y)) (* 1/2 (* x (cos (PI))))) y)))

Calls

6 calls:

Time	Variable		Point	Expression
38.0ms	y	@	inf	((/ -1 (cos (+ (* (/ 1/2 y) x) (PI)))) (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (cos (+ (* (/ 1/2 y) x) (PI))) (+ (* (/ 1/2 y) x) (PI)) (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (+ (* (/ (* 1/8 x) y) (/ x y)) 1) (/ (* 1/8 x) y) (* 1/8 x) (* (/ (+ (* (/ (* x x) y) (/ -1/48 y)) 1/2) y) x) (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (tan (/ x (* y 2))) (+ (* (pow (/ x y) 3) 1/24) (* (/ x y) 1/2)) (* (sin (+ (* (/ x y) -1/2) (PI))) (sin (neg (PI)))) (- (* (cos (* (/ x y) -1/2)) -1) (* (sin (+ (* (/ x y) -1/2) (PI))) (sin (neg (PI))))) (sin (neg (PI))) (/ -1 (- (* (cos (* (/ x y) -1/2)) -1) (* (sin (+ (* (/ x y) -1/2) (PI))) (sin (neg (PI)))))) (/ (- (/ -1 (sin (/ x y))) (/ (cos (/ x y)) (sin (/ (neg x) y)))) (sin (/ x (* y 2)))) (- (/ -1 (sin (/ x y))) (/ (cos (/ x y)) (sin (/ (neg x) y)))) (/ -1 (sin (/ x y))) (sin (/ x y)) (sin (/ x (* y 2))) (/ (* x x) y) (sin (+ (* (/ x y) -1/2) (PI))) (cos (* (/ x y) -1/2)) (cos (/ x y)) (sin (/ x (* y 2))))
27.0ms	y	@	-inf	((/ -1 (cos (+ (* (/ 1/2 y) x) (PI)))) (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (cos (+ (* (/ 1/2 y) x) (PI))) (+ (* (/ 1/2 y) x) (PI)) (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (+ (* (/ (* 1/8 x) y) (/ x y)) 1) (/ (* 1/8 x) y) (* 1/8 x) (* (/ (+ (* (/ (* x x) y) (/ -1/48 y)) 1/2) y) x) (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (tan (/ x (* y 2))) (+ (* (pow (/ x y) 3) 1/24) (* (/ x y) 1/2)) (* (sin (+ (* (/ x y) -1/2) (PI))) (sin (neg (PI)))) (- (* (cos (* (/ x y) -1/2)) -1) (* (sin (+ (* (/ x y) -1/2) (PI))) (sin (neg (PI))))) (sin (neg (PI))) (/ -1 (- (* (cos (* (/ x y) -1/2)) -1) (* (sin (+ (* (/ x y) -1/2) (PI))) (sin (neg (PI)))))) (/ (- (/ -1 (sin (/ x y))) (/ (cos (/ x y)) (sin (/ (neg x) y)))) (sin (/ x (* y 2)))) (- (/ -1 (sin (/ x y))) (/ (cos (/ x y)) (sin (/ (neg x) y)))) (/ -1 (sin (/ x y))) (sin (/ x y)) (sin (/ x (* y 2))) (/ (* x x) y) (sin (+ (* (/ x y) -1/2) (PI))) (cos (* (/ x y) -1/2)) (cos (/ x y)) (sin (/ x (* y 2))))
14.0ms	x	@	inf	((/ -1 (cos (+ (* (/ 1/2 y) x) (PI)))) (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (cos (+ (* (/ 1/2 y) x) (PI))) (+ (* (/ 1/2 y) x) (PI)) (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (+ (* (/ (* 1/8 x) y) (/ x y)) 1) (/ (* 1/8 x) y) (* 1/8 x) (* (/ (+ (* (/ (* x x) y) (/ -1/48 y)) 1/2) y) x) (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (tan (/ x (* y 2))) (+ (* (pow (/ x y) 3) 1/24) (* (/ x y) 1/2)) (* (sin (+ (* (/ x y) -1/2) (PI))) (sin (neg (PI)))) (- (* (cos (* (/ x y) -1/2)) -1) (* (sin (+ (* (/ x y) -1/2) (PI))) (sin (neg (PI))))) (sin (neg (PI))) (/ -1 (- (* (cos (* (/ x y) -1/2)) -1) (* (sin (+ (* (/ x y) -1/2) (PI))) (sin (neg (PI)))))) (/ (- (/ -1 (sin (/ x y))) (/ (cos (/ x y)) (sin (/ (neg x) y)))) (sin (/ x (* y 2)))) (- (/ -1 (sin (/ x y))) (/ (cos (/ x y)) (sin (/ (neg x) y)))) (/ -1 (sin (/ x y))) (sin (/ x y)) (sin (/ x (* y 2))) (/ (* x x) y) (sin (+ (* (/ x y) -1/2) (PI))) (cos (* (/ x y) -1/2)) (cos (/ x y)) (sin (/ x (* y 2))))
9.0ms	x	@	0	((/ -1 (cos (+ (* (/ 1/2 y) x) (PI)))) (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (cos (+ (* (/ 1/2 y) x) (PI))) (+ (* (/ 1/2 y) x) (PI)) (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (+ (* (/ (* 1/8 x) y) (/ x y)) 1) (/ (* 1/8 x) y) (* 1/8 x) (* (/ (+ (* (/ (* x x) y) (/ -1/48 y)) 1/2) y) x) (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (tan (/ x (* y 2))) (+ (* (pow (/ x y) 3) 1/24) (* (/ x y) 1/2)) (* (sin (+ (* (/ x y) -1/2) (PI))) (sin (neg (PI)))) (- (* (cos (* (/ x y) -1/2)) -1) (* (sin (+ (* (/ x y) -1/2) (PI))) (sin (neg (PI))))) (sin (neg (PI))) (/ -1 (- (* (cos (* (/ x y) -1/2)) -1) (* (sin (+ (* (/ x y) -1/2) (PI))) (sin (neg (PI)))))) (/ (- (/ -1 (sin (/ x y))) (/ (cos (/ x y)) (sin (/ (neg x) y)))) (sin (/ x (* y 2)))) (- (/ -1 (sin (/ x y))) (/ (cos (/ x y)) (sin (/ (neg x) y)))) (/ -1 (sin (/ x y))) (sin (/ x y)) (sin (/ x (* y 2))) (/ (* x x) y) (sin (+ (* (/ x y) -1/2) (PI))) (cos (* (/ x y) -1/2)) (cos (/ x y)) (sin (/ x (* y 2))))
8.0ms	x	@	-inf	((/ -1 (cos (+ (* (/ 1/2 y) x) (PI)))) (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (cos (+ (* (/ 1/2 y) x) (PI))) (+ (* (/ 1/2 y) x) (PI)) (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (+ (* (/ (* 1/8 x) y) (/ x y)) 1) (/ (* 1/8 x) y) (* 1/8 x) (* (/ (+ (* (/ (* x x) y) (/ -1/48 y)) 1/2) y) x) (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (tan (/ x (* y 2))) (+ (* (pow (/ x y) 3) 1/24) (* (/ x y) 1/2)) (* (sin (+ (* (/ x y) -1/2) (PI))) (sin (neg (PI)))) (- (* (cos (* (/ x y) -1/2)) -1) (* (sin (+ (* (/ x y) -1/2) (PI))) (sin (neg (PI))))) (sin (neg (PI))) (/ -1 (- (* (cos (* (/ x y) -1/2)) -1) (* (sin (+ (* (/ x y) -1/2) (PI))) (sin (neg (PI)))))) (/ (- (/ -1 (sin (/ x y))) (/ (cos (/ x y)) (sin (/ (neg x) y)))) (sin (/ x (* y 2)))) (- (/ -1 (sin (/ x y))) (/ (cos (/ x y)) (sin (/ (neg x) y)))) (/ -1 (sin (/ x y))) (sin (/ x y)) (sin (/ x (* y 2))) (/ (* x x) y) (sin (+ (* (/ x y) -1/2) (PI))) (cos (* (/ x y) -1/2)) (cos (/ x y)) (sin (/ x (* y 2))))

simplify309.0ms (3.1%)

Memory

-14.3MiB live, 272.8MiB allocated; 69ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1339	7254
1	4976	7059
0	8589	6600

Stop Event

1×	iter limit
1×	node limit

Counts

173 → 173

Calls

Call 1

Inputs
(/ -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 (+ (* -1/48 (/ (sin (PI)) (* (pow y 3) (pow (cos (PI)) 2)))) (+ (* 1/16 (/ (sin (PI)) (* (pow y 3) (pow (cos (PI)) 2)))) (* 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))))))))) (+ (* 1/8 (/ 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))))
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))))))
(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)))
(* 1/8 (/ x y))
(* 1/8 x)
(* 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))))
(* (sin (PI)) (sin (neg (PI))))
(+ (* -1/2 (/ (* x (* (cos (PI)) (sin (neg (PI))))) y)) (* (sin (PI)) (sin (neg (PI)))))
(+ (* x (+ (* -1/2 (/ (* (cos (PI)) (sin (neg (PI)))) y)) (* -1/8 (/ (* x (* (sin (PI)) (sin (neg (PI))))) (pow y 2))))) (* (sin (PI)) (sin (neg (PI)))))
(+ (* x (+ (* -1/2 (/ (* (cos (PI)) (sin (neg (PI)))) y)) (* x (+ (* -1/8 (/ (* (sin (PI)) (sin (neg (PI)))) (pow y 2))) (* 1/48 (/ (* x (* (cos (PI)) (sin (neg (PI))))) (pow y 3))))))) (* (sin (PI)) (sin (neg (PI)))))
(* -1 (+ 1 (* (sin (PI)) (sin (neg (PI))))))
(- (* 1/2 (/ (* x (* (cos (PI)) (sin (neg (PI))))) y)) (+ 1 (* (sin (PI)) (sin (neg (PI))))))
(- (* x (- (* x (- (* 1/8 (/ 1 (pow y 2))) (* -1/8 (/ (* (sin (PI)) (sin (neg (PI)))) (pow y 2))))) (* -1/2 (/ (* (cos (PI)) (sin (neg (PI)))) y)))) (+ 1 (* (sin (PI)) (sin (neg (PI))))))
(- (* x (- (* x (- (+ (* -1/48 (/ (* x (* (cos (PI)) (sin (neg (PI))))) (pow y 3))) (* 1/8 (/ 1 (pow y 2)))) (* -1/8 (/ (* (sin (PI)) (sin (neg (PI)))) (pow y 2))))) (* -1/2 (/ (* (cos (PI)) (sin (neg (PI)))) y)))) (+ 1 (* (sin (PI)) (sin (neg (PI))))))
(/ 1 (+ 1 (* (sin (PI)) (sin (neg (PI))))))
(+ (* 1/2 (/ (* x (* (cos (PI)) (sin (neg (PI))))) (* y (pow (+ 1 (* (sin (PI)) (sin (neg (PI))))) 2)))) (/ 1 (+ 1 (* (sin (PI)) (sin (neg (PI)))))))
(+ (* x (- (* -1 (* x (+ (* -1 (/ (- (* 1/8 (/ 1 (pow y 2))) (* -1/8 (/ (* (sin (PI)) (sin (neg (PI)))) (pow y 2)))) (pow (+ 1 (* (sin (PI)) (sin (neg (PI))))) 2))) (* -1/4 (/ (* (pow (cos (PI)) 2) (pow (sin (neg (PI))) 2)) (* (pow y 2) (pow (+ 1 (* (sin (PI)) (sin (neg (PI))))) 3))))))) (* -1/2 (/ (* (cos (PI)) (sin (neg (PI)))) (* y (pow (+ 1 (* (sin (PI)) (sin (neg (PI))))) 2)))))) (/ 1 (+ 1 (* (sin (PI)) (sin (neg (PI)))))))
(+ (* x (- (* x (- (* -1 (* x (+ (* -1/2 (/ (* (cos (PI)) (* (sin (neg (PI))) (- (* 1/8 (/ 1 (pow y 2))) (* -1/8 (/ (* (sin (PI)) (sin (neg (PI)))) (pow y 2)))))) (* y (pow (+ 1 (* (sin (PI)) (sin (neg (PI))))) 3)))) (+ (* 1/48 (/ (* (cos (PI)) (sin (neg (PI)))) (* (pow y 3) (pow (+ 1 (* (sin (PI)) (sin (neg (PI))))) 2)))) (* 1/2 (/ (* (cos (PI)) (* (sin (neg (PI))) (+ (* -1 (/ (- (* 1/8 (/ 1 (pow y 2))) (* -1/8 (/ (* (sin (PI)) (sin (neg (PI)))) (pow y 2)))) (pow (+ 1 (* (sin (PI)) (sin (neg (PI))))) 2))) (* -1/4 (/ (* (pow (cos (PI)) 2) (pow (sin (neg (PI))) 2)) (* (pow y 2) (pow (+ 1 (* (sin (PI)) (sin (neg (PI))))) 3))))))) (* y (+ 1 (* (sin (PI)) (sin (neg (PI)))))))))))) (+ (* -1 (/ (- (* 1/8 (/ 1 (pow y 2))) (* -1/8 (/ (* (sin (PI)) (sin (neg (PI)))) (pow y 2)))) (pow (+ 1 (* (sin (PI)) (sin (neg (PI))))) 2))) (* -1/4 (/ (* (pow (cos (PI)) 2) (pow (sin (neg (PI))) 2)) (* (pow y 2) (pow (+ 1 (* (sin (PI)) (sin (neg (PI))))) 3))))))) (* -1/2 (/ (* (cos (PI)) (sin (neg (PI)))) (* y (pow (+ 1 (* (sin (PI)) (sin (neg (PI))))) 2)))))) (/ 1 (+ 1 (* (sin (PI)) (sin (neg (PI)))))))
(* -2 (/ (* y (+ y (* -1 y))) (pow x 2)))
(/ (+ (* -2 (* y (+ y (* -1 y)))) (* -1 (* (pow x 2) (- 1 (* -1/12 (/ (+ y (* -1 y)) y)))))) (pow x 2))
(/ (+ (* -2 (* y (+ y (* -1 y)))) (* (pow x 2) (+ (* -1 (* (pow x 2) (- (* 1/12 (/ 1 (pow y 2))) (+ (* -1/24 (/ (- 1 (* -1/12 (/ (+ y (* -1 y)) y))) (pow y 2))) (* 1/960 (/ (+ y (* -1 y)) (pow y 3))))))) (* -1 (- 1 (* -1/12 (/ (+ y (* -1 y)) y))))))) (pow x 2))
(/ (+ (* -2 (* y (+ y (* -1 y)))) (* (pow x 2) (+ (* -1 (- 1 (* -1/12 (/ (+ y (* -1 y)) y)))) (* (pow x 2) (+ (* -1 (* (pow x 2) (- (* 1/120 (/ 1 (pow y 4))) (+ (* -1/24 (/ (- (* 1/12 (/ 1 (pow y 2))) (+ (* -1/24 (/ (- 1 (* -1/12 (/ (+ y (* -1 y)) y))) (pow y 2))) (* 1/960 (/ (+ y (* -1 y)) (pow y 3))))) (pow y 2))) (+ (* -1/161280 (/ (+ y (* -1 y)) (pow y 5))) (* 1/1920 (/ (- 1 (* -1/12 (/ (+ y (* -1 y)) y))) (pow y 4)))))))) (* -1 (- (* 1/12 (/ 1 (pow y 2))) (+ (* -1/24 (/ (- 1 (* -1/12 (/ (+ y (* -1 y)) y))) (pow y 2))) (* 1/960 (/ (+ y (* -1 y)) (pow y 3))))))))))) (pow x 2))
(* -1 (/ (+ y (* -1 y)) x))
(/ (- (* -1/2 (/ (pow x 2) y)) (+ y (* -1 y))) x)
(/ (- (* (pow x 2) (- (* -1/24 (/ (pow x 2) (pow y 3))) (* 1/2 (/ 1 y)))) (+ y (* -1 y))) x)
(/ (- (* (pow x 2) (- (* (pow x 2) (- (* -1/240 (/ (pow x 2) (pow y 5))) (* 1/24 (/ 1 (pow y 3))))) (* 1/2 (/ 1 y)))) (+ y (* -1 y))) x)
(* -1 (/ y x))
(/ (+ (* -1 y) (* -1/6 (/ (pow x 2) y))) x)
(/ (+ (* -1 y) (* (pow x 2) (- (* -7/360 (/ (pow x 2) (pow y 3))) (* 1/6 (/ 1 y))))) x)
(/ (+ (* -1 y) (* (pow x 2) (- (* (pow x 2) (- (* -31/15120 (/ (pow x 2) (pow y 5))) (* 7/360 (/ 1 (pow y 3))))) (* 1/6 (/ 1 y))))) x)
(/ x y)
(* x (+ (* -1/6 (/ (pow x 2) (pow y 3))) (/ 1 y)))
(* x (+ (* (pow x 2) (- (* 1/120 (/ (pow x 2) (pow y 5))) (* 1/6 (/ 1 (pow y 3))))) (/ 1 y)))
(* x (+ (* (pow x 2) (- (* (pow x 2) (+ (* -1/5040 (/ (pow x 2) (pow y 7))) (* 1/120 (/ 1 (pow y 5))))) (* 1/6 (/ 1 (pow y 3))))) (/ 1 y)))
(* 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)
(sin (PI))
(+ (sin (PI)) (* -1/2 (/ (* x (cos (PI))) y)))
(+ (sin (PI)) (* x (+ (* -1/2 (/ (cos (PI)) y)) (* -1/8 (/ (* x (sin (PI))) (pow y 2))))))
(+ (sin (PI)) (* x (+ (* -1/2 (/ (cos (PI)) y)) (* x (+ (* -1/8 (/ (sin (PI)) (pow y 2))) (* 1/48 (/ (* x (cos (PI))) (pow y 3))))))))
(+ 1 (* -1/8 (/ (pow x 2) (pow y 2))))
(+ 1 (* (pow x 2) (- (* 1/384 (/ (pow x 2) (pow y 4))) (* 1/8 (/ 1 (pow y 2))))))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ (* -1/46080 (/ (pow x 2) (pow y 6))) (* 1/384 (/ 1 (pow y 4))))) (* 1/8 (/ 1 (pow y 2))))))
(+ 1 (* -1/2 (/ (pow x 2) (pow y 2))))
(+ 1 (* (pow x 2) (- (* 1/24 (/ (pow x 2) (pow y 4))) (* 1/2 (/ 1 (pow y 2))))))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ (* -1/720 (/ (pow x 2) (pow y 6))) (* 1/24 (/ 1 (pow y 4))))) (* 1/2 (/ 1 (pow y 2))))))
(/ -1 (cos (+ (PI) (* 1/2 (/ x y)))))
(/ 1 (cos (* 1/2 (/ x y))))
(cos (+ (PI) (* 1/2 (/ x y))))
(* x (+ (* 1/2 (/ 1 y)) (/ (PI) x)))
(* 1/8 (/ (pow x 2) (pow y 2)))
(* (pow x 2) (+ (/ 1 (pow x 2)) (* 1/8 (/ 1 (pow y 2)))))
(* -1/48 (/ (pow x 3) (pow y 3)))
(* (pow x 3) (- (* 1/2 (/ 1 (* (pow x 2) y))) (* 1/48 (/ 1 (pow y 3)))))
(/ (sin (* 1/2 (/ x y))) (cos (* 1/2 (/ x y))))
(* 1/24 (/ (pow x 3) (pow y 3)))
(* (pow x 3) (+ (* 1/2 (/ 1 (* (pow x 2) y))) (* 1/24 (/ 1 (pow y 3)))))
(* (sin (neg (PI))) (sin (- (PI) (* 1/2 (/ x y)))))
(- (* -1 (cos (* -1/2 (/ x y)))) (* (sin (neg (PI))) (sin (- (PI) (* 1/2 (/ x y))))))
(/ -1 (- (* -1 (cos (* -1/2 (/ x y)))) (* (sin (neg (PI))) (sin (- (PI) (* 1/2 (/ x y)))))))
(* -1 (/ (+ (/ 1 (sin (/ x y))) (/ (cos (/ x y)) (sin (* -1 (/ x y))))) (sin (* 1/2 (/ x y)))))
(* -1 (+ (/ 1 (sin (/ x y))) (/ (cos (/ x y)) (sin (* -1 (/ x y))))))
(/ -1 (sin (/ x y)))
(sin (/ x y))
(sin (* 1/2 (/ x y)))
(sin (- (PI) (* 1/2 (/ x y))))
(cos (* -1/2 (/ x y)))
(cos (/ x y))
(/ -1 (cos (- (PI) (* -1/2 (/ x y)))))
(cos (- (PI) (* -1/2 (/ x y))))
(* -1 (* x (- (* -1 (/ (PI) x)) (* 1/2 (/ 1 y)))))
(* -1 (* (pow x 3) (- (* 1/48 (/ 1 (pow y 3))) (* 1/2 (/ 1 (* (pow x 2) y))))))
(* (pow x 3) (+ (* 1/24 (/ 1 (pow y 3))) (* 1/2 (/ 1 (* (pow x 2) y)))))
(* (sin (neg (PI))) (sin (+ (PI) (* -1/2 (/ x y)))))
(- (* -1 (cos (* -1/2 (/ x y)))) (* (sin (neg (PI))) (sin (+ (PI) (* -1/2 (/ x y))))))
(/ -1 (- (* -1 (cos (* -1/2 (/ x y)))) (* (sin (neg (PI))) (sin (+ (PI) (* -1/2 (/ x y)))))))
(sin (+ (PI) (* -1/2 (/ x y))))
(/ (+ (* 1/2 x) (* y (PI))) y)
(/ (+ (* 1/8 (pow x 2)) (pow y 2)) (pow y 2))
(/ (+ (* -1/48 (pow x 3)) (* 1/2 (* x (pow y 2)))) (pow y 3))
(/ (+ (* 1/24 (pow x 3)) (* 1/2 (* x (pow y 2)))) (pow y 3))
(- (* -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 (/ (+ (* -1/48 (/ (* (pow x 3) (sin (PI))) (pow (cos (PI)) 2))) (+ (* 1/16 (/ (* (pow x 3) (sin (PI))) (pow (cos (PI)) 2))) (* 1/2 (/ (* x (* (sin (PI)) (+ (* 1/8 (/ (pow x 2) (cos (PI)))) (* 1/4 (/ (* (pow x 2) (pow (sin (PI)) 2)) (pow (cos (PI)) 3)))))) (cos (PI)))))) (pow y 3))) (+ (* 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)))) (+ (* 1/2 (/ (* x (sin (PI))) (* y (pow (cos (PI)) 2)))) (/ 1 (cos (PI)))))))
(- (+ 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)))))))))
(- (+ (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)))
(/ (+ (* -1/48 (/ (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)
(/ (+ (* 1/24 (/ (pow x 3) (pow y 2))) (* 1/2 x)) y)
(+ (* -1/2 (/ (* x (* (cos (PI)) (sin (neg (PI))))) y)) (+ (* -1/8 (/ (* (pow x 2) (* (sin (PI)) (sin (neg (PI))))) (pow y 2))) (* (sin (PI)) (sin (neg (PI))))))
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(+ (* -1 (/ (- (* -2 (/ (- (* 1/40320 (pow x 7)) (+ (* -1/6 (* (pow x 2) (- (* -1/720 (pow x 5)) (+ (* -1/6 (* (pow x 2) (- (* 1/24 (pow x 3)) (+ (* -1/6 (* (pow x 2) (- (* -1/2 x) (* -1/6 x)))) (* 1/120 (pow x 3)))))) (+ (* -1/5040 (pow x 5)) (* 1/120 (* (pow x 4) (- (* -1/2 x) (* -1/6 x))))))))) (+ (* -1/120 (* (pow x 4) (+ (* -1/120 (pow x 3)) (* 1/36 (pow x 3))))) (+ (* -1/5040 (* (pow x 6) (- (* -1/2 x) (* -1/6 x)))) (+ (* -1/362880 (pow x 7)) (+ (* 1/362880 (pow x 7)) (+ (* 1/30240 (pow x 7)) (+ (* 1/120 (* (pow x 4) (- (* 1/24 (pow x 3)) (+ (* -1/6 (* (pow x 2) (- (* -1/2 x) (* -1/6 x)))) (* 1/120 (pow x 3)))))) (* 1/6 (* (pow x 2) (+ (* -1/720 (pow x 5)) (+ (* 1/5040 (pow x 5)) (* 1/6 (* (pow x 2) (+ (* -1/120 (pow x 3)) (* 1/36 (pow x 3))))))))))))))))) x)) (+ (* -1/24 (* (pow x 2) (- (* 2 (/ (+ (* -1/6 (* (pow x 2) (- (* 1/24 (pow x 3)) (+ (* -1/6 (* (pow x 2) (- (* -1/2 x) (* -1/6 x)))) (* 1/120 (pow x 3)))))) (+ (* -1/5040 (pow x 5)) (+ (* 1/5040 (pow x 5)) (+ (* 1/120 (* (pow x 4) (- (* -1/2 x) (* -1/6 x)))) (* 1/6 (* (pow x 2) (+ (* -1/120 (pow x 3)) (* 1/36 (pow x 3))))))))) x)) (+ (* -1/24 (* (pow x 2) (- (* -2 (/ (- (* 1/24 (pow x 3)) (+ (* -1/6 (* (pow x 2) (- (* -1/2 x) (* -1/6 x)))) (+ (* -1/120 (pow x 3)) (+ (* 1/120 (pow x 3)) (* 1/36 (pow x 3)))))) x)) (* 1/12 (* x (- (* -1/2 x) (+ (* -1/6 x) (* 1/6 x)))))))) (* -1/960 (* (pow x 3) (- (* -1/2 x) (+ (* -1/6 x) (* 1/6 x))))))))) (+ (* 1/161280 (* (pow x 5) (- (* -1/2 x) (+ (* -1/6 x) (* 1/6 x))))) (* 1/1920 (* (pow x 4) (- (* -2 (/ (- (* 1/24 (pow x 3)) (+ (* -1/6 (* (pow x 2) (- (* -1/2 x) (* -1/6 x)))) (+ (* -1/120 (pow x 3)) (+ (* 1/120 (pow x 3)) (* 1/36 (pow x 3)))))) x)) (* 1/12 (* x (- (* -1/2 x) (+ (* -1/6 x) (* 1/6 x))))))))))) (pow y 6))) (+ (* -1 (/ (- (* -2 (/ (- (* 1/24 (pow x 3)) (+ (* -1/6 (* (pow x 2) (- (* -1/2 x) (* -1/6 x)))) (+ (* -1/120 (pow x 3)) (+ (* 1/120 (pow x 3)) (* 1/36 (pow x 3)))))) x)) (* 1/12 (* x (- (* -1/2 x) (+ (* -1/6 x) (* 1/6 x)))))) (pow y 2))) (+ (* -1 (/ (- (* 2 (/ (+ (* -1/6 (* (pow x 2) (- (* 1/24 (pow x 3)) (+ (* -1/6 (* (pow x 2) (- (* -1/2 x) (* -1/6 x)))) (* 1/120 (pow x 3)))))) (+ (* -1/5040 (pow x 5)) (+ (* 1/5040 (pow x 5)) (+ (* 1/120 (* (pow x 4) (- (* -1/2 x) (* -1/6 x)))) (* 1/6 (* (pow x 2) (+ (* -1/120 (pow x 3)) (* 1/36 (pow x 3))))))))) x)) (+ (* -1/24 (* (pow x 2) (- (* -2 (/ (- (* 1/24 (pow x 3)) (+ (* -1/6 (* (pow x 2) (- (* -1/2 x) (* -1/6 x)))) (+ (* -1/120 (pow x 3)) (+ (* 1/120 (pow x 3)) (* 1/36 (pow x 3)))))) x)) (* 1/12 (* x (- (* -1/2 x) (+ (* -1/6 x) (* 1/6 x)))))))) (* -1/960 (* (pow x 3) (- (* -1/2 x) (+ (* -1/6 x) (* 1/6 x))))))) (pow y 4))) (* 2 (/ (- (* -1/2 x) (+ (* -1/6 x) (* 1/6 x))) x)))))
(* -1 (/ (- (+ (* -1/6 x) (* 1/6 x)) (* -1/2 x)) y))
(* -1 (/ (- (+ (* -1/6 x) (+ (* -1/6 (/ (* (pow x 2) (- (* -1/2 x) (* -1/6 x))) (pow y 2))) (+ (* -1/120 (/ (pow x 3) (pow y 2))) (+ (* 1/120 (/ (pow x 3) (pow y 2))) (+ (* 1/36 (/ (pow x 3) (pow y 2))) (* 1/6 x)))))) (+ (* -1/2 x) (* 1/24 (/ (pow x 3) (pow y 2))))) y))
(* -1 (/ (- (+ (* -1/6 x) (+ (* -1/6 (/ (* (pow x 2) (- (* -1/2 x) (* -1/6 x))) (pow y 2))) (+ (* -1/6 (/ (* (pow x 2) (- (* 1/24 (pow x 3)) (+ (* -1/6 (* (pow x 2) (- (* -1/2 x) (* -1/6 x)))) (* 1/120 (pow x 3))))) (pow y 4))) (+ (* -1/120 (/ (pow x 3) (pow y 2))) (+ (* -1/5040 (/ (pow x 5) (pow y 4))) (+ (* 1/5040 (/ (pow x 5) (pow y 4))) (+ (* 1/120 (/ (* (pow x 4) (- (* -1/2 x) (* -1/6 x))) (pow y 4))) (+ (* 1/120 (/ (pow x 3) (pow y 2))) (+ (* 1/36 (/ (pow x 3) (pow y 2))) (+ (* 1/6 x) (* 1/6 (/ (* (pow x 2) (+ (* -1/120 (pow x 3)) (* 1/36 (pow x 3)))) (pow y 4))))))))))))) (+ (* -1/2 x) (* 1/24 (/ (pow x 3) (pow y 2))))) y))
(* -1 (/ (- (+ (* -1/6 x) (+ (* -1/6 (/ (* (pow x 2) (- (* -1/2 x) (* -1/6 x))) (pow y 2))) (+ (* -1/6 (/ (* (pow x 2) (- (* -1/720 (pow x 5)) (+ (* -1/6 (* (pow x 2) (- (* 1/24 (pow x 3)) (+ (* -1/6 (* (pow x 2) (- (* -1/2 x) (* -1/6 x)))) (* 1/120 (pow x 3)))))) (+ (* -1/5040 (pow x 5)) (* 1/120 (* (pow x 4) (- (* -1/2 x) (* -1/6 x)))))))) (pow y 6))) (+ (* -1/6 (/ (* (pow x 2) (- (* 1/24 (pow x 3)) (+ (* -1/6 (* (pow x 2) (- (* -1/2 x) (* -1/6 x)))) (* 1/120 (pow x 3))))) (pow y 4))) (+ (* -1/120 (/ (* (pow x 4) (+ (* -1/120 (pow x 3)) (* 1/36 (pow x 3)))) (pow y 6))) (+ (* -1/120 (/ (pow x 3) (pow y 2))) (+ (* -1/5040 (/ (* (pow x 6) (- (* -1/2 x) (* -1/6 x))) (pow y 6))) (+ (* -1/5040 (/ (pow x 5) (pow y 4))) (+ (* -1/362880 (/ (pow x 7) (pow y 6))) (+ (* 1/362880 (/ (pow x 7) (pow y 6))) (+ (* 1/30240 (/ (pow x 7) (pow y 6))) (+ (* 1/5040 (/ (pow x 5) (pow y 4))) (+ (* 1/120 (/ (* (pow x 4) (- (* -1/2 x) (* -1/6 x))) (pow y 4))) (+ (* 1/120 (/ (* (pow x 4) (- (* 1/24 (pow x 3)) (+ (* -1/6 (* (pow x 2) (- (* -1/2 x) (* -1/6 x)))) (* 1/120 (pow x 3))))) (pow y 6))) (+ (* 1/120 (/ (pow x 3) (pow y 2))) (+ (* 1/36 (/ (pow x 3) (pow y 2))) (+ (* 1/6 x) (+ (* 1/6 (/ (* (pow x 2) (+ (* -1/120 (pow x 3)) (* 1/36 (pow x 3)))) (pow y 4))) (* 1/6 (/ (* (pow x 2) (+ (* -1/720 (pow x 5)) (+ (* 1/5040 (pow x 5)) (* 1/6 (* (pow x 2) (+ (* -1/120 (pow x 3)) (* 1/36 (pow x 3)))))))) (pow y 6))))))))))))))))))))) (+ (* -1/2 x) (+ (* 1/40320 (/ (pow x 7) (pow y 6))) (* 1/24 (/ (pow x 3) (pow y 2)))))) y))
(* -1 (* y (+ (* 1/6 (/ x (pow y 2))) (/ 1 x))))
(* -1 (* y (- (+ (* -1 (/ (+ (* -1/36 (pow x 3)) (* 1/120 (pow x 3))) (pow y 4))) (/ 1 x)) (* -1/6 (/ x (pow y 2))))))
(* -1 (* y (- (+ (* -1 (/ (+ (* -1/5040 (pow x 5)) (+ (* 1/720 (pow x 5)) (* 1/6 (* (pow x 2) (+ (* -1/36 (pow x 3)) (* 1/120 (pow x 3))))))) (pow y 6))) (/ 1 x)) (+ (* -1/6 (/ x (pow y 2))) (+ (* -1/36 (/ (pow x 3) (pow y 4))) (* 1/120 (/ (pow x 3) (pow y 4))))))))
(* -1 (/ (+ (* -1 x) (* 1/6 (/ (pow x 3) (pow y 2)))) y))
(* -1 (/ (+ (* -1 x) (+ (* -1/120 (/ (pow x 5) (pow y 4))) (* 1/6 (/ (pow x 3) (pow y 2))))) y))
(* -1 (/ (+ (* -1 x) (+ (* -1/120 (/ (pow x 5) (pow y 4))) (+ (* 1/5040 (/ (pow x 7) (pow y 6))) (* 1/6 (/ (pow x 3) (pow y 2)))))) y))
(* -1 (/ (+ (* -1/2 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))
(+ (sin (PI)) (* -1 (/ (+ (* 1/8 (/ (* (pow x 2) (sin (PI))) y)) (* 1/2 (* x (cos (PI))))) y)))
(+ (sin (PI)) (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (* (pow x 2) (sin (PI)))) (* 1/48 (/ (* (pow x 3) (cos (PI))) y))) y)) (* 1/2 (* x (cos (PI))))) y)))

Outputs
(/ -1 (cos (PI)))
#s(literal 1 binary64)
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1
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(cos (PI))
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(PI)
(PI.f64)
(+ (PI) (* 1/2 (/ x y)))
(fma.f64 (/.f64 x y) #s(literal 1/2 binary64) (PI.f64))
(* 1/8 (/ x y))
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(* 1/8 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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(* (sin (PI)) (sin (neg (PI))))
#s(literal 0 binary64)
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(* -1 (+ 1 (* (sin (PI)) (sin (neg (PI))))))
#s(literal -1 binary64)
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(/ 1 (+ 1 (* (sin (PI)) (sin (neg (PI))))))
#s(literal 1 binary64)
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(* -2 (/ (* y (+ y (* -1 y))) (pow x 2)))
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(/.f64 (fma.f64 #s(literal -1/6 binary64) x (-.f64 (fma.f64 (.f64 (/.f64 (.f64 x #s(literal -1/3 binary64)) y) (/.f64 (.f64 x x) y)) #s(literal -1/6 binary64) (fma.f64 (/.f64 (.f64 (-.f64 (.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal -1/720 binary64)) (fma.f64 (.f64 #s(literal -1/6 binary64) (.f64 x x)) (-.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/24 binary64)) (fma.f64 (.f64 #s(literal -1/6 binary64) (.f64 x x)) (.f64 x #s(literal -1/3 binary64)) (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/120 binary64)))) (fma.f64 (.f64 #s(literal 1/120 binary64) (pow.f64 x #s(literal 4 binary64))) (.f64 x #s(literal -1/3 binary64)) (.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal -1/5040 binary64))))) (.f64 x x)) (pow.f64 y #s(literal 6 binary64))) #s(literal -1/6 binary64) (fma.f64 (/.f64 (.f64 (-.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/24 binary64)) (fma.f64 (.f64 #s(literal -1/6 binary64) (.f64 x x)) (.f64 x #s(literal -1/3 binary64)) (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/120 binary64)))) (.f64 x x)) (pow.f64 y #s(literal 4 binary64))) #s(literal -1/6 binary64) (fma.f64 (/.f64 (.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 7/360 binary64)) (pow.f64 x #s(literal 4 binary64))) (pow.f64 y #s(literal 6 binary64))) #s(literal -1/120 binary64) (fma.f64 #s(literal -1/120 binary64) (/.f64 (pow.f64 x #s(literal 3 binary64)) (.f64 y y)) (fma.f64 (/.f64 (.f64 (.f64 x #s(literal -1/3 binary64)) (pow.f64 x #s(literal 6 binary64))) (pow.f64 y #s(literal 6 binary64))) #s(literal -1/5040 binary64) (fma.f64 (/.f64 (pow.f64 x #s(literal 5 binary64)) (pow.f64 y #s(literal 4 binary64))) #s(literal -1/5040 binary64) (fma.f64 #s(literal -1/362880 binary64) (/.f64 (pow.f64 x #s(literal 7 binary64)) (pow.f64 y #s(literal 6 binary64))) (+.f64 (/.f64 (fma.f64 #s(literal 1/362880 binary64) (pow.f64 x #s(literal 7 binary64)) (.f64 #s(literal 1/30240 binary64) (pow.f64 x #s(literal 7 binary64)))) (pow.f64 y #s(literal 6 binary64))) (+.f64 (/.f64 (fma.f64 #s(literal 1/5040 binary64) (pow.f64 x #s(literal 5 binary64)) (.f64 (.f64 #s(literal 1/120 binary64) (pow.f64 x #s(literal 4 binary64))) (.f64 x #s(literal -1/3 binary64)))) (pow.f64 y #s(literal 4 binary64))) (fma.f64 (/.f64 (.f64 (-.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/24 binary64)) (fma.f64 (.f64 #s(literal -1/6 binary64) (.f64 x x)) (.f64 x #s(literal -1/3 binary64)) (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/120 binary64)))) (pow.f64 x #s(literal 4 binary64))) (pow.f64 y #s(literal 6 binary64))) #s(literal 1/120 binary64) (+.f64 (/.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 13/360 binary64)) (.f64 y y)) (fma.f64 #s(literal 1/6 binary64) (fma.f64 (.f64 x x) (/.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 7/360 binary64)) (pow.f64 y #s(literal 4 binary64))) (.f64 (.f64 x x) (/.f64 (fma.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal -1/720 binary64) (fma.f64 (.f64 #s(literal 1/6 binary64) (.f64 x x)) (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 7/360 binary64)) (.f64 #s(literal 1/5040 binary64) (pow.f64 x #s(literal 5 binary64))))) (pow.f64 y #s(literal 6 binary64))))) (.f64 #s(literal 1/6 binary64) x)))))))))))))) (fma.f64 #s(literal -1/2 binary64) x (fma.f64 (/.f64 #s(literal 1/24 binary64) y) (/.f64 (pow.f64 x #s(literal 3 binary64)) y) (/.f64 (.f64 #s(literal 1/40320 binary64) (pow.f64 x #s(literal 7 binary64))) (pow.f64 y #s(literal 6 binary64))))))) (neg.f64 y))
(* -1 (* y (+ (* 1/6 (/ x (pow y 2))) (/ 1 x))))
(.f64 (fma.f64 (/.f64 x (.f64 y y)) #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) x)) (neg.f64 y))
(* -1 (* y (- (+ (* -1 (/ (+ (* -1/36 (pow x 3)) (* 1/120 (pow x 3))) (pow y 4))) (/ 1 x)) (* -1/6 (/ x (pow y 2))))))
(.f64 (fma.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 4 binary64))) #s(literal 7/360 binary64) (fma.f64 (/.f64 x (.f64 y y)) #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) x))) (neg.f64 y))
(* -1 (* y (- (+ (* -1 (/ (+ (* -1/5040 (pow x 5)) (+ (* 1/720 (pow x 5)) (* 1/6 (* (pow x 2) (+ (* -1/36 (pow x 3)) (* 1/120 (pow x 3))))))) (pow y 6))) (/ 1 x)) (+ (* -1/6 (/ x (pow y 2))) (+ (* -1/36 (/ (pow x 3) (pow y 4))) (* 1/120 (/ (pow x 3) (pow y 4))))))))
(.f64 (fma.f64 (/.f64 (fma.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal -1/5040 binary64) (fma.f64 (.f64 #s(literal 1/6 binary64) (.f64 x x)) (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -7/360 binary64)) (.f64 #s(literal 1/720 binary64) (pow.f64 x #s(literal 5 binary64))))) (pow.f64 y #s(literal 6 binary64))) #s(literal -1 binary64) (-.f64 (/.f64 #s(literal 1 binary64) x) (fma.f64 (/.f64 #s(literal -1/6 binary64) y) (/.f64 x y) (/.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -7/360 binary64)) (pow.f64 y #s(literal 4 binary64)))))) (neg.f64 y))
(* -1 (/ (+ (* -1 x) (* 1/6 (/ (pow x 3) (pow y 2)))) y))
(/.f64 (fma.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (*.f64 y y)) #s(literal 1/6 binary64) (neg.f64 x)) (neg.f64 y))
(* -1 (/ (+ (* -1 x) (+ (* -1/120 (/ (pow x 5) (pow y 4))) (* 1/6 (/ (pow x 3) (pow y 2))))) y))
(/.f64 (+.f64 (neg.f64 x) (fma.f64 (/.f64 #s(literal 1/6 binary64) y) (/.f64 (pow.f64 x #s(literal 3 binary64)) y) (/.f64 (*.f64 #s(literal -1/120 binary64) (pow.f64 x #s(literal 5 binary64))) (pow.f64 y #s(literal 4 binary64))))) (neg.f64 y))
(* -1 (/ (+ (* -1 x) (+ (* -1/120 (/ (pow x 5) (pow y 4))) (+ (* 1/5040 (/ (pow x 7) (pow y 6))) (* 1/6 (/ (pow x 3) (pow y 2)))))) y))
(/.f64 (fma.f64 #s(literal -1 binary64) x (fma.f64 #s(literal -1/120 binary64) (/.f64 (pow.f64 x #s(literal 5 binary64)) (pow.f64 y #s(literal 4 binary64))) (fma.f64 (/.f64 #s(literal 1/6 binary64) y) (/.f64 (pow.f64 x #s(literal 3 binary64)) y) (/.f64 (*.f64 #s(literal 1/5040 binary64) (pow.f64 x #s(literal 7 binary64))) (pow.f64 y #s(literal 6 binary64)))))) (neg.f64 y))
(* -1 (/ (+ (* -1/2 x) (+ (* -1/3840 (/ (pow x 5) (pow y 4))) (* 1/48 (/ (pow x 3) (pow y 2))))) y))
(/.f64 (fma.f64 #s(literal -1/2 binary64) x (fma.f64 (/.f64 #s(literal 1/48 binary64) y) (/.f64 (pow.f64 x #s(literal 3 binary64)) y) (/.f64 (*.f64 #s(literal -1/3840 binary64) (pow.f64 x #s(literal 5 binary64))) (pow.f64 y #s(literal 4 binary64))))) (neg.f64 y))
(* -1 (/ (+ (* -1/2 x) (+ (* -1/3840 (/ (pow x 5) (pow y 4))) (+ (* 1/645120 (/ (pow x 7) (pow y 6))) (* 1/48 (/ (pow x 3) (pow y 2)))))) y))
(/.f64 (fma.f64 #s(literal -1/2 binary64) x (fma.f64 #s(literal -1/3840 binary64) (/.f64 (pow.f64 x #s(literal 5 binary64)) (pow.f64 y #s(literal 4 binary64))) (fma.f64 (/.f64 #s(literal 1/48 binary64) y) (/.f64 (pow.f64 x #s(literal 3 binary64)) y) (/.f64 (*.f64 #s(literal 1/645120 binary64) (pow.f64 x #s(literal 7 binary64))) (pow.f64 y #s(literal 6 binary64)))))) (neg.f64 y))
(+ (sin (PI)) (* -1 (/ (+ (* 1/8 (/ (* (pow x 2) (sin (PI))) y)) (* 1/2 (* x (cos (PI))))) y)))
(fma.f64 (/.f64 (fma.f64 (neg.f64 x) #s(literal 1/2 binary64) (.f64 (/.f64 (.f64 (*.f64 x x) #s(literal 0 binary64)) y) #s(literal 1/8 binary64))) y) #s(literal -1 binary64) #s(literal 0 binary64))
(+ (sin (PI)) (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (* (pow x 2) (sin (PI)))) (* 1/48 (/ (* (pow x 3) (cos (PI))) y))) y)) (* 1/2 (* x (cos (PI))))) y)))
(+.f64 (/.f64 (fma.f64 (neg.f64 x) #s(literal 1/2 binary64) (/.f64 (fma.f64 (.f64 #s(literal -1/8 binary64) (.f64 x x)) #s(literal 0 binary64) (/.f64 (.f64 #s(literal 1/48 binary64) (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1 binary64))) y)) (neg.f64 y))) (neg.f64 y)) #s(literal 0 binary64))

rewrite204.0ms (2%)

Memory

24.2MiB live, 408.8MiB allocated; 59ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	61	329
0	108	303
1	353	292
2	2551	288
0	8193	286

Stop Event

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

Counts

26 → 464

Calls

Call 1

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

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

eval133.0ms (1.3%)

Memory: 18.0MiB live, 245.3MiB allocated; 34ms collecting garbage
Compiler: Compiled 26 621 to 3 327 computations (87.5% saved)

prune328.0ms (3.3%)

Memory

3.0MiB live, 231.7MiB allocated; 37ms collecting garbage

Pruning

69 alts after pruning (61 fresh and 8 done)

	Pruned	Kept	Total
New	526	28	554
Fresh	6	33	39
Picked	1	4	5
Done	0	4	4
Total	533	69	602

Accuracy

62.5%

Counts

602 → 69

Alt Table

Click to see full alt table

Status	Accuracy	Program
	4.8%	(/.f64 (pow.f64 (sin.f64 (/.f64 x y)) #s(literal 2 binary64)) (.f64 (+.f64 (cos.f64 (/.f64 x y)) #s(literal 1 binary64)) (.f64 (sin.f64 (/.f64 (neg.f64 x) y)) (sin.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64))))))
	5.6%	(/.f64 (/.f64 (-.f64 (pow.f64 (+.f64 (cos.f64 (/.f64 x y)) #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 (pow.f64 (cos.f64 (/.f64 x y)) #s(literal 2 binary64)) (+.f64 (cos.f64 (/.f64 x y)) #s(literal 1 binary64)))) (sin.f64 (/.f64 (neg.f64 x) y))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
	4.2%	(/.f64 (/.f64 (-.f64 (pow.f64 (sin.f64 (/.f64 (neg.f64 x) y)) #s(literal -2 binary64)) (pow.f64 (tan.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 x y))) #s(literal 2 binary64))) (+.f64 (tan.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 x y))) (/.f64 #s(literal -1 binary64) (sin.f64 (/.f64 x y))))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
	5.2%	(/.f64 (/.f64 (-.f64 (.f64 #s(literal -1 binary64) (sin.f64 (/.f64 x y))) (.f64 (sin.f64 (/.f64 x y)) (neg.f64 (cos.f64 (/.f64 x y))))) (pow.f64 (sin.f64 (/.f64 x y)) #s(literal 2 binary64))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
	5.1%	(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (sin.f64 (+.f64 (/.f64 (neg.f64 x) y) (/.f64 (PI.f64) #s(literal 2 binary64))))) (sin.f64 (/.f64 (neg.f64 x) y))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
	5.1%	(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (sin.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 x y)))) (sin.f64 (/.f64 (neg.f64 x) y))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
	5.7%	(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x y))) (sin.f64 (/.f64 (neg.f64 x) y))) (-.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))))))
	5.6%	(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x y))) (sin.f64 (/.f64 (neg.f64 x) y))) (sin.f64 (/.f64 x (+.f64 y y))))
	4.8%	(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x y))) (sin.f64 (/.f64 (neg.f64 x) y))) (cos.f64 (/.f64 (+.f64 (/.f64 (neg.f64 x) y) (PI.f64)) #s(literal 2 binary64))))
	7.5%	(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x y))) (sin.f64 (/.f64 x y))) #s(approx (sin (/ x (* y 2))) (sin.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x))))
	5.2%	(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x y))) (cos.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 x y)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
	4.2%	(/.f64 (-.f64 (/.f64 (pow.f64 (sin.f64 (/.f64 (neg.f64 x) y)) #s(literal -2 binary64)) (+.f64 (tan.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 x y))) (/.f64 #s(literal -1 binary64) (sin.f64 (/.f64 x y))))) (/.f64 (pow.f64 (tan.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 x y))) #s(literal 2 binary64)) (+.f64 (tan.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 x y))) (/.f64 #s(literal -1 binary64) (sin.f64 (/.f64 x y)))))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
	5.2%	(/.f64 (-.f64 (/.f64 (sin.f64 (/.f64 x y)) (.f64 (sin.f64 (/.f64 x y)) (sin.f64 (/.f64 (neg.f64 x) y)))) (/.f64 (.f64 (sin.f64 (/.f64 x y)) (cos.f64 (/.f64 x y))) (.f64 (sin.f64 (/.f64 x y)) (sin.f64 (/.f64 (neg.f64 x) y))))) (sin.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))))
	5.0%	(/.f64 (-.f64 (/.f64 #s(literal -1 binary64) (sin.f64 (/.f64 x y))) (/.f64 (sin.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 x y))) (sin.f64 (/.f64 (neg.f64 x) y)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
✓	5.6%	(/.f64 (-.f64 (/.f64 #s(literal -1 binary64) (sin.f64 (/.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)))))
	4.2%	(/.f64 (-.f64 (/.f64 #s(literal -1 binary64) (sin.f64 (/.f64 x y))) (tan.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 x y)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
	5.3%	(/.f64 (-.f64 (/.f64 #s(literal -1 binary64) (sin.f64 (+.f64 (/.f64 (neg.f64 x) y) (PI.f64)))) (/.f64 (cos.f64 (/.f64 x y)) (sin.f64 (/.f64 (neg.f64 x) y)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
	5.3%	(/.f64 (-.f64 (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 (/.f64 (neg.f64 x) y) (/.f64 (PI.f64) #s(literal 2 binary64))))) (/.f64 (cos.f64 (/.f64 x y)) (sin.f64 (/.f64 (neg.f64 x) y)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
	5.2%	(/.f64 (-.f64 (.f64 (/.f64 #s(literal -1 binary64) (sin.f64 (/.f64 x y))) (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 x y)) (sin.f64 (/.f64 (neg.f64 x) y))))) (*.f64 (sin.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64))) (sin.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64)))))
	4.9%	(/.f64 (-.f64 (sin.f64 (/.f64 x y)) (.f64 (sin.f64 (/.f64 x y)) (cos.f64 (/.f64 x y)))) (.f64 (*.f64 (sin.f64 (/.f64 x y)) (sin.f64 (/.f64 (neg.f64 x) y))) (sin.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64)))))
	5.1%	(/.f64 (-.f64 #s(approx (/ -1 (sin (/ x y))) (/.f64 (neg.f64 y) x)) (/.f64 (cos.f64 (/.f64 x y)) (sin.f64 (/.f64 (neg.f64 x) y)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
	5.5%	(/.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)))))
	4.6%	(/.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))))
	46.6%	(/.f64 (tan.f64 (/.f64 x (+.f64 y y))) #s(approx (sin (/ x (* y 2))) (sin.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x))))
	5.0%	(/.f64 (tan.f64 (/.f64 x (.f64 #s(literal -2 binary64) y))) (sin.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))))
	7.3%	(/.f64 (tan.f64 (+.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64)) (PI.f64))) #s(approx (sin (/ x (* y 2))) (sin.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x))))
	43.2%	(/.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 #s(literal -1/48 binary64) y) (.f64 (/.f64 x y) x) #s(literal 1/2 binary64)) x) y)))
	2.2%	(/.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))) #s(approx (* (/ (+ (* (/ (* x x) y) (/ -1/48 y)) 1/2) y) x) (*.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)) #s(literal -1/48 binary64)))))
	35.4%	(/.f64 #s(approx (tan (/ x (* y 2))) (/.f64 (fma.f64 (/.f64 #s(literal -1/48 binary64) y) (/.f64 (pow.f64 x #s(literal 3 binary64)) y) (fma.f64 #s(literal 1/2 binary64) x (.f64 (/.f64 #s(literal 1/16 binary64) y) (/.f64 (pow.f64 x #s(literal 3 binary64)) y)))) 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)))
	3.0%	(/.f64 #s(approx (tan (/ x (* y 2))) #s(approx (+ (* (pow (/ x y) 3) 1/24) (* (/ x y) 1/2)) (.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)) #s(literal 1/24 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)))
	5.1%	(-.f64 (/.f64 (/.f64 #s(literal -1 binary64) (sin.f64 (/.f64 x y))) (sin.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64)))) (/.f64 (/.f64 (cos.f64 (/.f64 x y)) (sin.f64 (/.f64 (neg.f64 x) y))) (sin.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64)))))
✓	5.6%	#s(approx (/ (tan (/ (/ x y) -2)) (sin (/ x (* y 2)))) #s(literal -1 binary64))
✓	50.5%	#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)))
	48.3%	#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)))
	52.8%	#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 -1/2 binary64)) #s(literal 2 binary64)))
	54.2%	#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.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 2 binary64)) (pow.f64 (.f64 #s(literal 1 binary64) (cos.f64 (.f64 (/.f64 #s(literal 1/2 binary64) y) x))) #s(literal 2 binary64))) (sin.f64 (-.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x) (/.f64 (PI.f64) #s(literal 2 binary64)))))))
	54.4%	#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (-.f64 (cos.f64 (-.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 x y) (/.f64 (PI.f64) #s(literal 2 binary64))) (/.f64 (PI.f64) #s(literal 2 binary64)))) (cos.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) y) x (PI.f64)))) (+.f64 (sin.f64 (-.f64 (.f64 (/.f64 #s(literal 1/2 binary64) y) x) (/.f64 (PI.f64) #s(literal 2 binary64)))) (cos.f64 (.f64 (/.f64 #s(literal 1/2 binary64) y) x)))) #s(literal 2 binary64))))
	54.9%	#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (sin.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) y) x (/.f64 (PI.f64) #s(literal 2 binary64))))))
	54.7%	#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) (sin.f64 (/.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 (/.f64 x y) #s(literal 3 binary64)) (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64))) (fma.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64)) (.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (.f64 (/.f64 #s(literal 1/2 binary64) y) x))))))))
	53.1%	#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (sin.f64 (/.f64 (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) (pow.f64 (.f64 (/.f64 x y) #s(literal -1/2 binary64)) #s(literal 2 binary64))) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (.f64 (/.f64 #s(literal 1/2 binary64) y) x))))))
	54.6%	#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (sin.f64 (+.f64 (neg.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)) (/.f64 (PI.f64) #s(literal 2 binary64))))))
	54.8%	#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (sin.f64 #s(approx (+ (* (/ x y) 1/2) (/ (PI) 2)) (*.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 x y) (PI.f64)))))))
	54.2%	#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) x) y))))
	54.2%	#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 x y) (PI.f64)) (PI.f64)))))
✓	54.2%	#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x))))
	54.2%	#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 x y) #s(literal -1/2 binary64))) #s(literal -1 binary64)))))
	53.3%	#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal -1 binary64) (fma.f64 (cos.f64 (/.f64 (.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64))) (fma.f64 (/.f64 x y) #s(literal 1/2 binary64) (neg.f64 (PI.f64))))) (cos.f64 (/.f64 (.f64 (PI.f64) (PI.f64)) (fma.f64 (/.f64 x y) #s(literal 1/2 binary64) (neg.f64 (PI.f64))))) (.f64 (sin.f64 (/.f64 (.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64))) (fma.f64 (/.f64 x y) #s(literal 1/2 binary64) (neg.f64 (PI.f64))))) (sin.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) (fma.f64 (/.f64 x y) #s(literal 1/2 binary64) (neg.f64 (PI.f64)))))))))
	54.2%	#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal -1 binary64) (fma.f64 (cos.f64 (.f64 (/.f64 x y) #s(literal -1/2 binary64))) #s(literal -1 binary64) (.f64 (sin.f64 (*.f64 (/.f64 x y) #s(literal -1/2 binary64))) (sin.f64 (neg.f64 (PI.f64)))))))
	54.8%	#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal -1 binary64) (-.f64 (.f64 (sin.f64 (fma.f64 (/.f64 x y) #s(literal 1/2 binary64) (/.f64 (PI.f64) #s(literal 2 binary64)))) #s(literal -1 binary64)) (.f64 (sin.f64 (fma.f64 (/.f64 x y) #s(literal -1/2 binary64) (PI.f64))) (sin.f64 (neg.f64 (PI.f64)))))))
	54.7%	#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal -1 binary64) (-.f64 (.f64 (sin.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 x y) (/.f64 (PI.f64) #s(literal 2 binary64)))) #s(literal -1 binary64)) (.f64 (sin.f64 (fma.f64 (/.f64 x y) #s(literal -1/2 binary64) (PI.f64))) (sin.f64 (neg.f64 (PI.f64)))))))
	54.8%	#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal -1 binary64) (-.f64 (.f64 (sin.f64 (+.f64 (+.f64 (fma.f64 x (/.f64 #s(literal 1/2 binary64) y) (PI.f64)) (PI.f64)) (/.f64 (PI.f64) #s(literal 2 binary64)))) #s(literal -1 binary64)) (.f64 (sin.f64 (fma.f64 (/.f64 x y) #s(literal -1/2 binary64) (PI.f64))) (sin.f64 (neg.f64 (PI.f64)))))))
	55.2%	#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal -1 binary64) (-.f64 (.f64 (neg.f64 (cos.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 x y) (PI.f64)))) #s(literal -1 binary64)) (.f64 (sin.f64 (fma.f64 (/.f64 x y) #s(literal -1/2 binary64) (PI.f64))) (sin.f64 (neg.f64 (PI.f64)))))))
	54.3%	#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal -1 binary64) (-.f64 (.f64 (cos.f64 (.f64 (/.f64 x y) #s(literal -1/2 binary64))) #s(literal -1 binary64)) (/.f64 (+.f64 (sin.f64 (-.f64 (fma.f64 x (/.f64 #s(literal 1/2 binary64) y) (PI.f64)) (/.f64 (PI.f64) #s(literal 2 binary64)))) (cos.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 x y) (PI.f64)))) #s(literal 2 binary64)))))
	54.6%	#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal -1 binary64) (-.f64 (.f64 (cos.f64 (.f64 (/.f64 x y) #s(literal -1/2 binary64))) #s(literal -1 binary64)) (/.f64 (+.f64 (sin.f64 (-.f64 (+.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 x y) (PI.f64)) (PI.f64)) (/.f64 (PI.f64) #s(literal 2 binary64)))) (sin.f64 (+.f64 (+.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 x y) (PI.f64)) (PI.f64)) (/.f64 (PI.f64) #s(literal 2 binary64))))) #s(literal 2 binary64)))))
	54.1%	#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal -1 binary64) (-.f64 (.f64 (cos.f64 (.f64 (/.f64 x y) #s(literal -1/2 binary64))) #s(literal -1 binary64)) (/.f64 (+.f64 (sin.f64 (-.f64 (.f64 #s(literal -1/2 binary64) (/.f64 x y)) (/.f64 (PI.f64) #s(literal 2 binary64)))) (cos.f64 (.f64 #s(literal -1/2 binary64) (/.f64 x y)))) #s(literal 2 binary64)))))
	54.4%	#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal -1 binary64) (-.f64 (.f64 (cos.f64 (.f64 (/.f64 x y) #s(literal -1/2 binary64))) #s(literal -1 binary64)) (/.f64 (+.f64 (sin.f64 (-.f64 (neg.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 x y) (PI.f64))) (/.f64 (PI.f64) #s(literal 2 binary64)))) (sin.f64 (+.f64 (neg.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 x y) (PI.f64))) (/.f64 (PI.f64) #s(literal 2 binary64))))) #s(literal 2 binary64)))))
	54.1%	#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal -1 binary64) (-.f64 (.f64 (cos.f64 (.f64 (/.f64 x y) #s(literal -1/2 binary64))) #s(literal -1 binary64)) (/.f64 (+.f64 (cos.f64 (+.f64 (+.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 x y) (PI.f64)) (/.f64 (PI.f64) #s(literal 2 binary64))) (/.f64 (PI.f64) #s(literal 2 binary64)))) (cos.f64 (-.f64 (+.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 x y) (PI.f64)) (/.f64 (PI.f64) #s(literal 2 binary64))) (/.f64 (PI.f64) #s(literal 2 binary64))))) #s(literal 2 binary64)))))
✓	54.2%	#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal -1 binary64) (-.f64 (.f64 (cos.f64 (.f64 (/.f64 x y) #s(literal -1/2 binary64))) #s(literal -1 binary64)) (*.f64 (sin.f64 (fma.f64 (/.f64 x y) #s(literal -1/2 binary64) (PI.f64))) (sin.f64 (neg.f64 (PI.f64)))))))
	54.2%	#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal -1 binary64) (-.f64 (.f64 (cos.f64 (.f64 (/.f64 x y) #s(literal -1/2 binary64))) #s(literal -1 binary64)) (*.f64 (cos.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 x y) (/.f64 (PI.f64) #s(literal 2 binary64)))) (sin.f64 (neg.f64 (PI.f64)))))))
	54.8%	#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal -1 binary64) (sin.f64 (fma.f64 (/.f64 x y) #s(literal 1/2 binary64) (+.f64 (PI.f64) (/.f64 (PI.f64) #s(literal 2 binary64)))))))
	54.8%	#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal -1 binary64) (sin.f64 (+.f64 (+.f64 (fma.f64 (/.f64 x y) #s(literal -1/2 binary64) (+.f64 (PI.f64) (/.f64 (PI.f64) #s(literal 2 binary64)))) (PI.f64)) (PI.f64)))))
	55.2%	#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal -1 binary64) (cos.f64 (fma.f64 (/.f64 x y) #s(literal 1/2 binary64) (PI.f64)))))
✓	55.2%	#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)))))
✓	55.2%	#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)))))
	53.3%	#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal -1 binary64) (cos.f64 (/.f64 (-.f64 (.f64 (PI.f64) (PI.f64)) (.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64)))) (fma.f64 #s(literal -1/2 binary64) (/.f64 x y) (PI.f64))))))
	48.7%	#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)))))
	52.7%	#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (exp.f64 (.f64 (log.f64 (cos.f64 (.f64 (/.f64 x y) #s(literal -1/2 binary64)))) #s(literal -1 binary64))))
✓	55.3%	#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(literal 1 binary64))

Compiler

Compiled 5 318 to 1 957 computations (63.2% saved)

regimes152.0ms (1.5%)

Memory

-46.2MiB live, 257.9MiB allocated; 54ms collecting garbage

Counts

94 → 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) (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) (sin.f64 #s(approx (+ (* (/ x y) 1/2) (/ (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 #s(literal -1/2 binary64) (/.f64 x y) (PI.f64)) (PI.f64)))))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (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 (/.f64 x y) #s(literal 1/2 binary64) (+.f64 (PI.f64) (/.f64 (PI.f64) #s(literal 2 binary64)))))))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (sin.f64 (+.f64 (neg.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)) (/.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 (neg.f64 (+.f64 (fma.f64 (/.f64 x y) #s(literal 1/2 binary64) (/.f64 (PI.f64) #s(literal 2 binary64))) (PI.f64))))))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal -1 binary64) (sin.f64 (+.f64 (+.f64 (fma.f64 (/.f64 x y) #s(literal -1/2 binary64) (+.f64 (PI.f64) (/.f64 (PI.f64) #s(literal 2 binary64)))) (PI.f64)) (PI.f64)))))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 (+.f64 (fma.f64 (/.f64 x y) #s(literal 1/2 binary64) (/.f64 (PI.f64) #s(literal 2 binary64))) (/.f64 (PI.f64) #s(literal 2 binary64))) (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))) #s(approx (+ (* (pow (/ x y) 3) 1/24) (* (/ x y) 1/2)) (.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)) #s(literal 1/24 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)))
(/.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 #s(literal -1/48 binary64) y) (.f64 (/.f64 x y) x) #s(literal 1/2 binary64)) x) y)))
(/.f64 #s(approx (tan (/ x (* y 2))) (/.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))) 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 (tan.f64 (/.f64 x (+.f64 y y))) #s(approx (sin (/ x (* y 2))) (sin.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x))))
(/.f64 (tan.f64 (/.f64 x (.f64 #s(literal -2 binary64) y))) (sin.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))))
(/.f64 (tan.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) #s(approx (sin (/ x ( y 2))) (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)))))
(/.f64 (tan.f64 (+.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64)) (PI.f64))) #s(approx (sin (/ x (* y 2))) (sin.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x))))
(/.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))))
(/.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))) #s(approx (* (/ (+ (* (/ (* x x) y) (/ -1/48 y)) 1/2) y) x) (*.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)) #s(literal -1/48 binary64)))))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal -1 binary64) (cos.f64 (/.f64 (-.f64 (.f64 (PI.f64) (PI.f64)) (.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64)))) (fma.f64 #s(literal -1/2 binary64) (/.f64 x y) (PI.f64))))))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal -1 binary64) (cos.f64 (/.f64 (fma.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 x y) #s(literal 2 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 -1/2 binary64)) #s(literal 2 binary64)))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (exp.f64 (.f64 (log.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) (/.f64 x y)))) #s(literal -1 binary64))))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (exp.f64 (.f64 (log.f64 (cos.f64 (.f64 (/.f64 x y) #s(literal -1/2 binary64)))) #s(literal -1 binary64))))
(/.f64 #s(approx (tan (/ x (* y 2))) (/.f64 (fma.f64 (/.f64 #s(literal -1/48 binary64) y) (/.f64 (pow.f64 x #s(literal 3 binary64)) y) (fma.f64 #s(literal 1/2 binary64) x (.f64 (/.f64 #s(literal 1/16 binary64) y) (/.f64 (pow.f64 x #s(literal 3 binary64)) y)))) 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)))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal -1 binary64) (fma.f64 (cos.f64 (.f64 (/.f64 x y) #s(literal -1/2 binary64))) #s(literal -1 binary64) (.f64 (sin.f64 (*.f64 (/.f64 x y) #s(literal -1/2 binary64))) (sin.f64 (neg.f64 (PI.f64)))))))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal -1 binary64) (-.f64 (.f64 (cos.f64 (.f64 (/.f64 x y) #s(literal -1/2 binary64))) #s(literal -1 binary64)) (*.f64 (sin.f64 (fma.f64 (/.f64 x y) #s(literal -1/2 binary64) (PI.f64))) (sin.f64 (neg.f64 (PI.f64)))))))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal -1 binary64) (-.f64 (.f64 (neg.f64 (cos.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 x y) (PI.f64)))) #s(literal -1 binary64)) (.f64 (sin.f64 (fma.f64 (/.f64 x y) #s(literal -1/2 binary64) (PI.f64))) (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 (-.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x y))) (sin.f64 (/.f64 x y))) #s(approx (sin (/ x (* y 2))) (sin.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x))))
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x y))) (sin.f64 (/.f64 (neg.f64 x) y))) (sin.f64 (/.f64 x (+.f64 y y))))
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x y))) (sin.f64 (/.f64 (neg.f64 x) y))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
#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 x y) #s(literal -1/2 binary64))) #s(literal -1 binary64)))))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal -1 binary64) (-.f64 (.f64 (cos.f64 (.f64 (/.f64 x y) #s(literal -1/2 binary64))) #s(literal -1 binary64)) (*.f64 (cos.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 x y) (/.f64 (PI.f64) #s(literal 2 binary64)))) (sin.f64 (neg.f64 (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 x (*.f64 y #s(literal 2 binary64)))))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal -1 binary64) (-.f64 (.f64 (sin.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 x y) (/.f64 (PI.f64) #s(literal 2 binary64)))) #s(literal -1 binary64)) (.f64 (sin.f64 (fma.f64 (/.f64 x y) #s(literal -1/2 binary64) (PI.f64))) (sin.f64 (neg.f64 (PI.f64)))))))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal -1 binary64) (-.f64 (.f64 (sin.f64 (fma.f64 (/.f64 x y) #s(literal 1/2 binary64) (/.f64 (PI.f64) #s(literal 2 binary64)))) #s(literal -1 binary64)) (.f64 (sin.f64 (fma.f64 (/.f64 x y) #s(literal -1/2 binary64) (PI.f64))) (sin.f64 (neg.f64 (PI.f64)))))))
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x y))) (sin.f64 (/.f64 (neg.f64 x) y))) (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 (.f64 (sin.f64 (+.f64 (+.f64 (fma.f64 x (/.f64 #s(literal 1/2 binary64) y) (PI.f64)) (PI.f64)) (/.f64 (PI.f64) #s(literal 2 binary64)))) #s(literal -1 binary64)) (.f64 (sin.f64 (fma.f64 (/.f64 x y) #s(literal -1/2 binary64) (PI.f64))) (sin.f64 (neg.f64 (PI.f64)))))))
(/.f64 (-.f64 (/.f64 #s(literal -1 binary64) (sin.f64 (/.f64 x y))) (tan.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 x y)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x y))) (cos.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 x y)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
(/.f64 (-.f64 #s(approx (/ -1 (sin (/ x y))) (/.f64 (neg.f64 y) x)) (/.f64 (cos.f64 (/.f64 x y)) (sin.f64 (/.f64 (neg.f64 x) y)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (sin.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 x y)))) (sin.f64 (/.f64 (neg.f64 x) y))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (sin.f64 (+.f64 (/.f64 (neg.f64 x) y) (/.f64 (PI.f64) #s(literal 2 binary64))))) (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) (sin.f64 (/.f64 (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) (pow.f64 (.f64 (/.f64 x y) #s(literal -1/2 binary64)) #s(literal 2 binary64))) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (.f64 (/.f64 #s(literal 1/2 binary64) y) x))))))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal -1 binary64) (-.f64 (.f64 (cos.f64 (.f64 (/.f64 x y) #s(literal -1/2 binary64))) #s(literal -1 binary64)) (/.f64 (+.f64 (sin.f64 (-.f64 (.f64 #s(literal -1/2 binary64) (/.f64 x y)) (/.f64 (PI.f64) #s(literal 2 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)))) (/.f64 #s(literal -1 binary64) (-.f64 (.f64 (cos.f64 (.f64 (/.f64 x y) #s(literal -1/2 binary64))) #s(literal -1 binary64)) (/.f64 (+.f64 (sin.f64 (-.f64 (fma.f64 x (/.f64 #s(literal 1/2 binary64) y) (PI.f64)) (/.f64 (PI.f64) #s(literal 2 binary64)))) (cos.f64 (fma.f64 #s(literal -1/2 binary64) (/.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 (.f64 (cos.f64 (.f64 (/.f64 x y) #s(literal -1/2 binary64))) #s(literal -1 binary64)) (/.f64 (+.f64 (sin.f64 (-.f64 (neg.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 x y) (PI.f64))) (/.f64 (PI.f64) #s(literal 2 binary64)))) (sin.f64 (+.f64 (neg.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 x y) (PI.f64))) (/.f64 (PI.f64) #s(literal 2 binary64))))) #s(literal 2 binary64)))))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal -1 binary64) (-.f64 (.f64 (cos.f64 (.f64 (/.f64 x y) #s(literal -1/2 binary64))) #s(literal -1 binary64)) (/.f64 (+.f64 (sin.f64 (-.f64 (+.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 x y) (PI.f64)) (PI.f64)) (/.f64 (PI.f64) #s(literal 2 binary64)))) (sin.f64 (+.f64 (+.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 x y) (PI.f64)) (PI.f64)) (/.f64 (PI.f64) #s(literal 2 binary64))))) #s(literal 2 binary64)))))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal -1 binary64) (-.f64 (.f64 (cos.f64 (.f64 (/.f64 x y) #s(literal -1/2 binary64))) #s(literal -1 binary64)) (/.f64 (+.f64 (cos.f64 (+.f64 (+.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 x y) (PI.f64)) (/.f64 (PI.f64) #s(literal 2 binary64))) (/.f64 (PI.f64) #s(literal 2 binary64)))) (cos.f64 (-.f64 (+.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 x y) (PI.f64)) (/.f64 (PI.f64) #s(literal 2 binary64))) (/.f64 (PI.f64) #s(literal 2 binary64))))) #s(literal 2 binary64)))))
(/.f64 (-.f64 (/.f64 #s(literal -1 binary64) (sin.f64 (/.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)))))
(/.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)))))
(/.f64 (-.f64 (/.f64 #s(literal -1 binary64) (sin.f64 (+.f64 (/.f64 (neg.f64 x) y) (PI.f64)))) (/.f64 (cos.f64 (/.f64 x y)) (sin.f64 (/.f64 (neg.f64 x) y)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
(/.f64 (-.f64 (/.f64 #s(literal -1 binary64) (sin.f64 (/.f64 x y))) (/.f64 (sin.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 x y))) (sin.f64 (/.f64 (neg.f64 x) y)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
(/.f64 (-.f64 (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 (/.f64 (neg.f64 x) y) (/.f64 (PI.f64) #s(literal 2 binary64))))) (/.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) (sin.f64 (/.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 (/.f64 x y) #s(literal 3 binary64)) (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64))) (fma.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64)) (.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (.f64 (/.f64 #s(literal 1/2 binary64) y) x))))))))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (-.f64 (cos.f64 (-.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 x y) (/.f64 (PI.f64) #s(literal 2 binary64))) (/.f64 (PI.f64) #s(literal 2 binary64)))) (cos.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) y) x (PI.f64)))) (+.f64 (sin.f64 (-.f64 (.f64 (/.f64 #s(literal 1/2 binary64) y) x) (/.f64 (PI.f64) #s(literal 2 binary64)))) (cos.f64 (.f64 (/.f64 #s(literal 1/2 binary64) y) x)))) #s(literal 2 binary64))))
(/.f64 (pow.f64 (sin.f64 (/.f64 x y)) #s(literal 2 binary64)) (.f64 (+.f64 (cos.f64 (/.f64 x y)) #s(literal 1 binary64)) (.f64 (sin.f64 (/.f64 (neg.f64 x) y)) (sin.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64))))))
(/.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)))))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.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 2 binary64)) (pow.f64 (.f64 #s(literal 1 binary64) (cos.f64 (.f64 (/.f64 #s(literal 1/2 binary64) y) x))) #s(literal 2 binary64))) (sin.f64 (-.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x) (/.f64 (PI.f64) #s(literal 2 binary64)))))))
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x y))) (sin.f64 (/.f64 (neg.f64 x) y))) (-.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))))))
(-.f64 (/.f64 (/.f64 #s(literal -1 binary64) (sin.f64 (/.f64 x y))) (sin.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64)))) (/.f64 (/.f64 (cos.f64 (/.f64 x y)) (sin.f64 (/.f64 (neg.f64 x) y))) (sin.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64)))))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (+.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)))))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (+.f64 (cosh.f64 (.f64 (log.f64 (cos.f64 (.f64 (/.f64 #s(literal 1/2 binary64) y) x))) #s(literal -1 binary64))) (sinh.f64 (.f64 (log.f64 (cos.f64 (.f64 (/.f64 #s(literal 1/2 binary64) y) x))) #s(literal -1 binary64)))))
(/.f64 (/.f64 (-.f64 (.f64 #s(literal -1 binary64) (sin.f64 (/.f64 x y))) (.f64 (sin.f64 (/.f64 x y)) (neg.f64 (cos.f64 (/.f64 x y))))) (pow.f64 (sin.f64 (/.f64 x y)) #s(literal 2 binary64))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
(/.f64 (-.f64 (sin.f64 (/.f64 x y)) (.f64 (sin.f64 (/.f64 x y)) (cos.f64 (/.f64 x y)))) (.f64 (*.f64 (sin.f64 (/.f64 x y)) (sin.f64 (/.f64 (neg.f64 x) y))) (sin.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64)))))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal -1 binary64) (fma.f64 (cos.f64 (/.f64 (.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64))) (fma.f64 (/.f64 x y) #s(literal 1/2 binary64) (neg.f64 (PI.f64))))) (cos.f64 (/.f64 (.f64 (PI.f64) (PI.f64)) (fma.f64 (/.f64 x y) #s(literal 1/2 binary64) (neg.f64 (PI.f64))))) (.f64 (sin.f64 (/.f64 (.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64))) (fma.f64 (/.f64 x y) #s(literal 1/2 binary64) (neg.f64 (PI.f64))))) (sin.f64 (/.f64 (*.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)))) (/.f64 #s(literal -1 binary64) (fma.f64 (cos.f64 (/.f64 (pow.f64 (.f64 (/.f64 x y) #s(literal -1/2 binary64)) #s(literal 2 binary64)) (fma.f64 (/.f64 x y) #s(literal -1/2 binary64) (neg.f64 (PI.f64))))) (cos.f64 (/.f64 (.f64 (PI.f64) (PI.f64)) (fma.f64 (/.f64 x y) #s(literal -1/2 binary64) (neg.f64 (PI.f64))))) (.f64 (sin.f64 (/.f64 (pow.f64 (.f64 (/.f64 x y) #s(literal -1/2 binary64)) #s(literal 2 binary64)) (fma.f64 (/.f64 x y) #s(literal -1/2 binary64) (neg.f64 (PI.f64))))) (sin.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) (fma.f64 (/.f64 x y) #s(literal -1/2 binary64) (neg.f64 (PI.f64)))))))))
(/.f64 (/.f64 (-.f64 (pow.f64 (+.f64 (cos.f64 (/.f64 x y)) #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 (pow.f64 (cos.f64 (/.f64 x y)) #s(literal 2 binary64)) (+.f64 (cos.f64 (/.f64 x y)) #s(literal 1 binary64)))) (sin.f64 (/.f64 (neg.f64 x) y))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
(/.f64 (/.f64 (-.f64 (pow.f64 (sin.f64 (/.f64 (neg.f64 x) y)) #s(literal -2 binary64)) (pow.f64 (tan.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 x y))) #s(literal 2 binary64))) (+.f64 (tan.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 x y))) (/.f64 #s(literal -1 binary64) (sin.f64 (/.f64 x y))))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
(/.f64 (-.f64 (.f64 (/.f64 #s(literal -1 binary64) (sin.f64 (/.f64 x y))) (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 x y)) (sin.f64 (/.f64 (neg.f64 x) y))))) (*.f64 (sin.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64))) (sin.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64)))))
(/.f64 (-.f64 (/.f64 (sin.f64 (/.f64 x y)) (.f64 (sin.f64 (/.f64 x y)) (sin.f64 (/.f64 (neg.f64 x) y)))) (/.f64 (.f64 (sin.f64 (/.f64 x y)) (cos.f64 (/.f64 x y))) (.f64 (sin.f64 (/.f64 x y)) (sin.f64 (/.f64 (neg.f64 x) y))))) (sin.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))))
(/.f64 (-.f64 (/.f64 (pow.f64 (sin.f64 (/.f64 (neg.f64 x) y)) #s(literal -2 binary64)) (+.f64 (tan.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 x y))) (/.f64 #s(literal -1 binary64) (sin.f64 (/.f64 x y))))) (/.f64 (pow.f64 (tan.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 x y))) #s(literal 2 binary64)) (+.f64 (tan.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 x y))) (/.f64 #s(literal -1 binary64) (sin.f64 (/.f64 x y)))))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (/.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))))))))

Outputs

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

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

Calls

5 calls:

38.0ms	(*.f64 y #s(literal 2 binary64))
32.0ms	y
26.0ms	x
23.0ms	(/.f64 (tan.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))))
22.0ms	(/.f64 x (*.f64 y #s(literal 2 binary64)))

Results

Accuracy	Segments	Branch
55.3%	1	`(*.f64 y #s(literal 2 binary64))`
57.6%	2	`(/.f64 x (*.f64 y #s(literal 2 binary64)))`
57.2%	2	`(/.f64 (tan.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))))`
55.3%	1	`x`
55.3%	1	`y`

Compiler

Compiled 23 to 21 computations (8.7% saved)

regimes24.0ms (0.2%)

Memory

26.3MiB live, 71.6MiB allocated; 4ms collecting garbage

Counts

75 → 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) (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) (sin.f64 #s(approx (+ (* (/ x y) 1/2) (/ (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 #s(literal -1/2 binary64) (/.f64 x y) (PI.f64)) (PI.f64)))))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (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 (/.f64 x y) #s(literal 1/2 binary64) (+.f64 (PI.f64) (/.f64 (PI.f64) #s(literal 2 binary64)))))))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (sin.f64 (+.f64 (neg.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)) (/.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 (neg.f64 (+.f64 (fma.f64 (/.f64 x y) #s(literal 1/2 binary64) (/.f64 (PI.f64) #s(literal 2 binary64))) (PI.f64))))))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal -1 binary64) (sin.f64 (+.f64 (+.f64 (fma.f64 (/.f64 x y) #s(literal -1/2 binary64) (+.f64 (PI.f64) (/.f64 (PI.f64) #s(literal 2 binary64)))) (PI.f64)) (PI.f64)))))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 (+.f64 (fma.f64 (/.f64 x y) #s(literal 1/2 binary64) (/.f64 (PI.f64) #s(literal 2 binary64))) (/.f64 (PI.f64) #s(literal 2 binary64))) (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))) #s(approx (+ (* (pow (/ x y) 3) 1/24) (* (/ x y) 1/2)) (.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)) #s(literal 1/24 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)))
(/.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 #s(literal -1/48 binary64) y) (.f64 (/.f64 x y) x) #s(literal 1/2 binary64)) x) y)))
(/.f64 #s(approx (tan (/ x (* y 2))) (/.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))) 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 (tan.f64 (/.f64 x (+.f64 y y))) #s(approx (sin (/ x (* y 2))) (sin.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x))))
(/.f64 (tan.f64 (/.f64 x (.f64 #s(literal -2 binary64) y))) (sin.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))))
(/.f64 (tan.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) #s(approx (sin (/ x ( y 2))) (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)))))
(/.f64 (tan.f64 (+.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64)) (PI.f64))) #s(approx (sin (/ x (* y 2))) (sin.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x))))
(/.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))))
(/.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))) #s(approx (* (/ (+ (* (/ (* x x) y) (/ -1/48 y)) 1/2) y) x) (*.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)) #s(literal -1/48 binary64)))))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal -1 binary64) (cos.f64 (/.f64 (-.f64 (.f64 (PI.f64) (PI.f64)) (.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64)))) (fma.f64 #s(literal -1/2 binary64) (/.f64 x y) (PI.f64))))))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal -1 binary64) (cos.f64 (/.f64 (fma.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 x y) #s(literal 2 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 -1/2 binary64)) #s(literal 2 binary64)))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (exp.f64 (.f64 (log.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) (/.f64 x y)))) #s(literal -1 binary64))))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (exp.f64 (.f64 (log.f64 (cos.f64 (.f64 (/.f64 x y) #s(literal -1/2 binary64)))) #s(literal -1 binary64))))
(/.f64 #s(approx (tan (/ x (* y 2))) (/.f64 (fma.f64 (/.f64 #s(literal -1/48 binary64) y) (/.f64 (pow.f64 x #s(literal 3 binary64)) y) (fma.f64 #s(literal 1/2 binary64) x (.f64 (/.f64 #s(literal 1/16 binary64) y) (/.f64 (pow.f64 x #s(literal 3 binary64)) y)))) 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)))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal -1 binary64) (fma.f64 (cos.f64 (.f64 (/.f64 x y) #s(literal -1/2 binary64))) #s(literal -1 binary64) (.f64 (sin.f64 (*.f64 (/.f64 x y) #s(literal -1/2 binary64))) (sin.f64 (neg.f64 (PI.f64)))))))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal -1 binary64) (-.f64 (.f64 (cos.f64 (.f64 (/.f64 x y) #s(literal -1/2 binary64))) #s(literal -1 binary64)) (*.f64 (sin.f64 (fma.f64 (/.f64 x y) #s(literal -1/2 binary64) (PI.f64))) (sin.f64 (neg.f64 (PI.f64)))))))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal -1 binary64) (-.f64 (.f64 (neg.f64 (cos.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 x y) (PI.f64)))) #s(literal -1 binary64)) (.f64 (sin.f64 (fma.f64 (/.f64 x y) #s(literal -1/2 binary64) (PI.f64))) (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 (-.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x y))) (sin.f64 (/.f64 x y))) #s(approx (sin (/ x (* y 2))) (sin.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x))))
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x y))) (sin.f64 (/.f64 (neg.f64 x) y))) (sin.f64 (/.f64 x (+.f64 y y))))
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x y))) (sin.f64 (/.f64 (neg.f64 x) y))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
#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 x y) #s(literal -1/2 binary64))) #s(literal -1 binary64)))))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal -1 binary64) (-.f64 (.f64 (cos.f64 (.f64 (/.f64 x y) #s(literal -1/2 binary64))) #s(literal -1 binary64)) (*.f64 (cos.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 x y) (/.f64 (PI.f64) #s(literal 2 binary64)))) (sin.f64 (neg.f64 (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 x (*.f64 y #s(literal 2 binary64)))))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal -1 binary64) (-.f64 (.f64 (sin.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 x y) (/.f64 (PI.f64) #s(literal 2 binary64)))) #s(literal -1 binary64)) (.f64 (sin.f64 (fma.f64 (/.f64 x y) #s(literal -1/2 binary64) (PI.f64))) (sin.f64 (neg.f64 (PI.f64)))))))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal -1 binary64) (-.f64 (.f64 (sin.f64 (fma.f64 (/.f64 x y) #s(literal 1/2 binary64) (/.f64 (PI.f64) #s(literal 2 binary64)))) #s(literal -1 binary64)) (.f64 (sin.f64 (fma.f64 (/.f64 x y) #s(literal -1/2 binary64) (PI.f64))) (sin.f64 (neg.f64 (PI.f64)))))))
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x y))) (sin.f64 (/.f64 (neg.f64 x) y))) (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 (.f64 (sin.f64 (+.f64 (+.f64 (fma.f64 x (/.f64 #s(literal 1/2 binary64) y) (PI.f64)) (PI.f64)) (/.f64 (PI.f64) #s(literal 2 binary64)))) #s(literal -1 binary64)) (.f64 (sin.f64 (fma.f64 (/.f64 x y) #s(literal -1/2 binary64) (PI.f64))) (sin.f64 (neg.f64 (PI.f64)))))))
(/.f64 (-.f64 (/.f64 #s(literal -1 binary64) (sin.f64 (/.f64 x y))) (tan.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 x y)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x y))) (cos.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 x y)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
(/.f64 (-.f64 #s(approx (/ -1 (sin (/ x y))) (/.f64 (neg.f64 y) x)) (/.f64 (cos.f64 (/.f64 x y)) (sin.f64 (/.f64 (neg.f64 x) y)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (sin.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 x y)))) (sin.f64 (/.f64 (neg.f64 x) y))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (sin.f64 (+.f64 (/.f64 (neg.f64 x) y) (/.f64 (PI.f64) #s(literal 2 binary64))))) (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) (sin.f64 (/.f64 (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) (pow.f64 (.f64 (/.f64 x y) #s(literal -1/2 binary64)) #s(literal 2 binary64))) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (.f64 (/.f64 #s(literal 1/2 binary64) y) x))))))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal -1 binary64) (-.f64 (.f64 (cos.f64 (.f64 (/.f64 x y) #s(literal -1/2 binary64))) #s(literal -1 binary64)) (/.f64 (+.f64 (sin.f64 (-.f64 (.f64 #s(literal -1/2 binary64) (/.f64 x y)) (/.f64 (PI.f64) #s(literal 2 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)))) (/.f64 #s(literal -1 binary64) (-.f64 (.f64 (cos.f64 (.f64 (/.f64 x y) #s(literal -1/2 binary64))) #s(literal -1 binary64)) (/.f64 (+.f64 (sin.f64 (-.f64 (fma.f64 x (/.f64 #s(literal 1/2 binary64) y) (PI.f64)) (/.f64 (PI.f64) #s(literal 2 binary64)))) (cos.f64 (fma.f64 #s(literal -1/2 binary64) (/.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 (.f64 (cos.f64 (.f64 (/.f64 x y) #s(literal -1/2 binary64))) #s(literal -1 binary64)) (/.f64 (+.f64 (sin.f64 (-.f64 (neg.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 x y) (PI.f64))) (/.f64 (PI.f64) #s(literal 2 binary64)))) (sin.f64 (+.f64 (neg.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 x y) (PI.f64))) (/.f64 (PI.f64) #s(literal 2 binary64))))) #s(literal 2 binary64)))))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal -1 binary64) (-.f64 (.f64 (cos.f64 (.f64 (/.f64 x y) #s(literal -1/2 binary64))) #s(literal -1 binary64)) (/.f64 (+.f64 (sin.f64 (-.f64 (+.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 x y) (PI.f64)) (PI.f64)) (/.f64 (PI.f64) #s(literal 2 binary64)))) (sin.f64 (+.f64 (+.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 x y) (PI.f64)) (PI.f64)) (/.f64 (PI.f64) #s(literal 2 binary64))))) #s(literal 2 binary64)))))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal -1 binary64) (-.f64 (.f64 (cos.f64 (.f64 (/.f64 x y) #s(literal -1/2 binary64))) #s(literal -1 binary64)) (/.f64 (+.f64 (cos.f64 (+.f64 (+.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 x y) (PI.f64)) (/.f64 (PI.f64) #s(literal 2 binary64))) (/.f64 (PI.f64) #s(literal 2 binary64)))) (cos.f64 (-.f64 (+.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 x y) (PI.f64)) (/.f64 (PI.f64) #s(literal 2 binary64))) (/.f64 (PI.f64) #s(literal 2 binary64))))) #s(literal 2 binary64)))))
(/.f64 (-.f64 (/.f64 #s(literal -1 binary64) (sin.f64 (/.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)))))
(/.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)))))
(/.f64 (-.f64 (/.f64 #s(literal -1 binary64) (sin.f64 (+.f64 (/.f64 (neg.f64 x) y) (PI.f64)))) (/.f64 (cos.f64 (/.f64 x y)) (sin.f64 (/.f64 (neg.f64 x) y)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
(/.f64 (-.f64 (/.f64 #s(literal -1 binary64) (sin.f64 (/.f64 x y))) (/.f64 (sin.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 x y))) (sin.f64 (/.f64 (neg.f64 x) y)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
(/.f64 (-.f64 (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 (/.f64 (neg.f64 x) y) (/.f64 (PI.f64) #s(literal 2 binary64))))) (/.f64 (cos.f64 (/.f64 x y)) (sin.f64 (/.f64 (neg.f64 x) y)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))

Outputs

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

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

Calls

1 calls:

20.0ms

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

Results

Accuracy	Segments	Branch
57.4%	2	`(/.f64 x (*.f64 y #s(literal 2 binary64)))`

Compiler

Compiled 5 to 5 computations (0% saved)

regimes31.0ms (0.3%)

Memory

-21.9MiB live, 23.8MiB allocated; 2ms collecting garbage

Counts

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

Outputs

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

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

Calls

1 calls:

29.0ms

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

Results

Accuracy	Segments	Branch
57.4%	2	`(/.f64 x (*.f64 y #s(literal 2 binary64)))`

Compiler

Compiled 5 to 5 computations (0% saved)

regimes5.0ms (0%)

Memory

13.5MiB live, 13.5MiB allocated; 0ms collecting garbage

Counts

13 → 2

Calls

Call 1

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

Outputs

#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)))) #s(literal 1 binary64))

Calls

1 calls:

4.0ms

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

Results

Accuracy	Segments	Branch
57.4%	2	`(/.f64 x (*.f64 y #s(literal 2 binary64)))`

Compiler

Compiled 5 to 5 computations (0% saved)

regimes4.0ms (0%)

Memory

7.8MiB live, 7.8MiB allocated; 0ms collecting garbage

Counts

11 → 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)))))

Outputs

#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)))) #s(literal 1 binary64))

Calls

1 calls:

3.0ms

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

Results

Accuracy	Segments	Branch
57.3%	2	`(/.f64 x (*.f64 y #s(literal 2 binary64)))`

Compiler

Compiled 5 to 5 computations (0% saved)

regimes4.0ms (0%)

Memory

7.7MiB live, 7.7MiB allocated; 0ms collecting garbage

Counts

10 → 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))))

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:

3.0ms

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

Results

Accuracy	Segments	Branch
57.3%	2	`(/.f64 x (*.f64 y #s(literal 2 binary64)))`

Compiler

Compiled 5 to 5 computations (0% saved)

regimes4.0ms (0%)

Memory

6.1MiB live, 6.1MiB allocated; 0ms collecting garbage

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

1 calls:

3.0ms

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

Results

Accuracy	Segments	Branch
57.3%	2	`(/.f64 x (*.f64 y #s(literal 2 binary64)))`

Compiler

Compiled 5 to 5 computations (0% saved)

regimes43.0ms (0.4%)

Memory

-43.3MiB live, 14.0MiB allocated; 3ms collecting garbage

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:

36.0ms	(/.f64 (tan.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))))
3.0ms	x
3.0ms	(/.f64 x (*.f64 y #s(literal 2 binary64)))

Results

Accuracy	Segments	Branch
55.3%	1	`x`
55.3%	1	`(/.f64 (tan.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))))`
55.3%	1	`(/.f64 x (*.f64 y #s(literal 2 binary64)))`

Compiler

Compiled 19 to 15 computations (21.1% saved)

regimes6.0ms (0.1%)

Memory

17.7MiB live, 17.6MiB allocated; 0ms collecting garbage

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

Results

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

Compiler

Compiled 23 to 21 computations (8.7% saved)

bsearch1.0ms (0%)

Memory

3.5MiB live, 3.6MiB allocated; 0ms collecting garbage

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	2.852728681181329e+86	4.618178977782061e+93

Compiler

Compiled 12 to 13 computations (-8.3% saved)

bsearch1.0ms (0%)

Memory

2.5MiB live, 2.5MiB allocated; 0ms collecting garbage

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	1.4555455641034036e+73	1.3071318588341615e+78

Compiler

Compiled 12 to 13 computations (-8.3% saved)

bsearch0.0ms (0%)

Memory

1.5MiB live, 1.5MiB allocated; 0ms collecting garbage

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	1.4555455641034036e+73	1.3071318588341615e+78

Compiler

Compiled 12 to 13 computations (-8.3% saved)

bsearch0.0ms (0%)

Memory

1.4MiB live, 1.4MiB allocated; 0ms collecting garbage

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	3.0449498585172064e+112	1.9543107609048272e+121

Compiler

Compiled 12 to 13 computations (-8.3% saved)

bsearch0.0ms (0%)

Memory

1.2MiB live, 1.2MiB allocated; 0ms collecting garbage

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	3.651931564520636e+33	1.1806399572261903e+34

Compiler

Compiled 12 to 13 computations (-8.3% saved)

bsearch0.0ms (0%)

Memory

1.1MiB live, 1.1MiB allocated; 0ms collecting garbage

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	1.5898471641127277e+42	4.796844135112145e+43

Compiler

Compiled 12 to 13 computations (-8.3% saved)

bsearch0.0ms (0%)

Memory

1.1MiB live, 1.1MiB allocated; 0ms collecting garbage

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	1.5898471641127277e+42	4.796844135112145e+43

Compiler

Compiled 12 to 13 computations (-8.3% saved)

simplify100.0ms (1%)

Memory

1.4MiB live, 91.2MiB allocated; 9ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	86	382
1	105	382
2	139	382
3	183	382
4	238	382
5	310	382
6	429	382
7	736	382
8	1443	382
9	3193	382
10	6909	382

Stop Event

1×	node limit

Calls

Call 1

Inputs
(if (<=.f64 (/.f64 x (.f64 y #s(literal 2 binary64))) #s(literal 499999999999999979708362228175181365745998044824225719834869504903351961475477212758016 binary64)) #s(approx (/ (tan (/ x ( y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (sin.f64 (/.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 (/.f64 x y) #s(literal 3 binary64)) (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64))) (fma.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64)) (.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (.f64 (/.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 19999999999999999660673935899226515960618160481369312643676908399133458432 binary64)) #s(approx (/ (tan (/ x ( y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal -1 binary64) (sin.f64 (+.f64 (+.f64 (fma.f64 (/.f64 x y) #s(literal -1/2 binary64) (+.f64 (PI.f64) (/.f64 (PI.f64) #s(literal 2 binary64)))) (PI.f64)) (PI.f64))))) #s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(literal 1 binary64)))
(if (<=.f64 (/.f64 x (.f64 y #s(literal 2 binary64))) #s(literal 19999999999999999660673935899226515960618160481369312643676908399133458432 binary64)) #s(approx (/ (tan (/ x ( y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (sin.f64 #s(approx (+ (* (/ x y) 1/2) (/ (PI) 2)) (.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 x y) (PI.f64))))))) #s(approx (/ (tan (/ x ( y 2))) (sin (/ x (* y 2)))) #s(literal 1 binary64)))
(if (<=.f64 (/.f64 x (.f64 y #s(literal 2 binary64))) #s(literal 50000000000000000777970806473342151213410069846053071668488529021541689058237785163249269495752372383810314043392 binary64)) #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)))) #s(literal 1 binary64)))
(if (<=.f64 (/.f64 x (.f64 y #s(literal 2 binary64))) #s(literal 4999999999999999727876154935214080 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)))) #s(literal 1 binary64)))
(if (<=.f64 (/.f64 x (.f64 y #s(literal 2 binary64))) #s(literal 2000000000000000089771425356151833571098624 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 2000000000000000089771425356151833571098624 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 499999999999999979708362228175181365745998044824225719834869504903351961475477212758016 binary64)) #s(approx (/ (tan (/ x ( y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (sin.f64 (/.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 (/.f64 x y) #s(literal 3 binary64)) (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64))) (fma.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64)) (.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (.f64 (/.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 499999999999999979708362228175181365745998044824225719834869504903351961475477212758016 binary64)) #s(approx (/ (tan (/ x ( y 2))) (sin (/ x (* y 2)))) (pow.f64 (sin.f64 (/.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 (/.f64 x y) #s(literal 3 binary64)) (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64))) (fma.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64)) (.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (.f64 (/.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)))
(if (<=.f64 (/.f64 x (.f64 y #s(literal 2 binary64))) #s(literal 19999999999999999660673935899226515960618160481369312643676908399133458432 binary64)) #s(approx (/ (tan (/ x ( y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal -1 binary64) (sin.f64 (+.f64 (+.f64 (fma.f64 (/.f64 x y) #s(literal -1/2 binary64) (+.f64 (PI.f64) (/.f64 (PI.f64) #s(literal 2 binary64)))) (PI.f64)) (PI.f64))))) #s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(literal 1 binary64)))
(if (<=.f64 (/.f64 x (.f64 y #s(literal 2 binary64))) #s(literal 19999999999999999660673935899226515960618160481369312643676908399133458432 binary64)) #s(approx (/ (tan (/ x ( y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (sin.f64 #s(approx (+ (* (/ x y) 1/2) (/ (PI) 2)) (.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 x y) (PI.f64))))))) #s(approx (/ (tan (/ x ( y 2))) (sin (/ x (* y 2)))) #s(literal 1 binary64)))
(if (<=.f64 (/.f64 x (.f64 y #s(literal 2 binary64))) #s(literal 19999999999999999660673935899226515960618160481369312643676908399133458432 binary64)) #s(approx (/ (tan (/ x ( y 2))) (sin (/ x (* y 2)))) (pow.f64 (sin.f64 #s(approx (+ (* (/ x y) 1/2) (/ (PI) 2)) (.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 x y) (PI.f64))))) #s(literal -1 binary64))) #s(approx (/ (tan (/ x ( y 2))) (sin (/ x (* y 2)))) #s(literal 1 binary64)))
(if (<=.f64 (/.f64 x (.f64 y #s(literal 2 binary64))) #s(literal 50000000000000000777970806473342151213410069846053071668488529021541689058237785163249269495752372383810314043392 binary64)) #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)))) #s(literal 1 binary64)))
(if (<=.f64 (/.f64 x (.f64 y #s(literal 2 binary64))) #s(literal 4999999999999999727876154935214080 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)))) #s(literal 1 binary64)))
(if (<=.f64 (/.f64 x (.f64 y #s(literal 2 binary64))) #s(literal 2000000000000000089771425356151833571098624 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 2000000000000000089771425356151833571098624 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 2000000000000000089771425356151833571098624 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 2000000000000000089771425356151833571098624 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)

derivations1.5s (14.8%)

Memory

3.5MiB live, 961.5MiB allocated; 162ms collecting garbage

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	1048	5323
1	3518	4846
0	8522	4595
0	8	33
0	13	17
1	29	17
2	118	17
3	824	7
0	10401	7
0	45	210
0	73	201
1	213	187
2	1256	187
0	8087	187
0	34	171
0	56	171
1	146	171
2	704	171
3	7818	171
0	8028	171
0	316	1576
1	1006	1536
2	4033	1498
0	8680	1395

Stop Event

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

Compiler

Compiled 382 to 88 computations (77% saved)

preprocess190.0ms (1.9%)

Memory: -17.0MiB live, 220.8MiB allocated; 14ms collecting garbage
Compiler: Compiled 1 146 to 376 computations (67.2% saved)

end0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated; 0ms collecting garbage

start0.0ms (0%)

analyze211.0ms (2.1%)

sample2.1s (20.7%)

explain245.0ms (2.5%)

preprocess193.0ms (1.9%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify150.0ms (1.5%)

localize82.0ms (0.8%)

series23.0ms (0.2%)

simplify200.0ms (2%)

rewrite130.0ms (1.3%)

eval9.0ms (0.1%)

prune35.0ms (0.3%)

simplify260.0ms (2.6%)

localize238.0ms (2.4%)

series46.0ms (0.5%)

simplify305.0ms (3.1%)

rewrite145.0ms (1.5%)

eval52.0ms (0.5%)

prune29.0ms (0.3%)

simplify167.0ms (1.7%)

localize477.0ms (4.8%)

series78.0ms (0.8%)

simplify215.0ms (2.2%)

rewrite222.0ms (2.2%)

eval110.0ms (1.1%)

prune85.0ms (0.8%)

simplify157.0ms (1.6%)

localize906.0ms (9.1%)

series110.0ms (1.1%)

simplify309.0ms (3.1%)

rewrite204.0ms (2%)

eval133.0ms (1.3%)

prune328.0ms (3.3%)

regimes152.0ms (1.5%)

regimes24.0ms (0.2%)

regimes31.0ms (0.3%)

regimes5.0ms (0%)

regimes4.0ms (0%)

regimes4.0ms (0%)

regimes4.0ms (0%)

regimes43.0ms (0.4%)

regimes6.0ms (0.1%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

simplify100.0ms (1%)

derivations1.5s (14.8%)

preprocess190.0ms (1.9%)

end0.0ms (0%)

Profiling