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

start0.0ms (0%)

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

analyze270.0ms (2.8%)

Memory

20.9MiB live, 345.1MiB allocated; 51ms 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)

sample2.0s (20.9%)

Memory

35.8MiB live, 2 397.9MiB allocated; 477ms collecting garbage

Samples

1.2s	4 078×	1	valid
410.0ms	4 178×	0	valid

Precisions

Click to see histograms. Total time spent on operations: 1.2s

ival-sin: 468.0ms (39.2% of total)

ival-tan: 275.0ms (23% of total)

ival-div: 209.0ms (17.5% of total)

adjust: 115.0ms (9.6% of total)

ival-mult: 113.0ms (9.5% of total)

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

exact: 6.0ms (0.5% of total)

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

Bogosity

explain178.0ms (1.9%)

Memory

-15.5MiB live, 220.0MiB allocated; 38ms collecting garbage

FPErrors

Click to see full error table

Ground Truth	Example	Underpredictions	Example	Subexpression
140	-	1	(-2.43370602953724e-101 -5.430229379623768e-103)	`(tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))`
140	-	2	(-2.43370602953724e-101 -5.430229379623768e-103)	`(sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))`
27	-	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
`tan.f64`	`(tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))`	sensitivity	106	0
`sin.f64`	`(sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))`	sensitivity	105	1
`sin.f64`	`(sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))`	oflow-rescue	33	0
↳	`(/.f64 x (*.f64 y #s(literal 2 binary64)))`	overflow	33
`tan.f64`	`(tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))`	oflow-rescue	33	0
↳	`(/.f64 x (*.f64 y #s(literal 2 binary64)))`	overflow	33
`/.f64`	`(/.f64 (tan.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))))`	u/u	27	0
↳	`(/.f64 x (*.f64 y #s(literal 2 binary64)))`	underflow	27
↳	`(tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))`	underflow	27
↳	`(/.f64 x (*.f64 y #s(literal 2 binary64)))`	underflow	27
↳	`(sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))`	underflow	27

Confusion

	Predicted +	Predicted -
+	166	0
-	0	90

Precision

1.0

Recall

1.0

Confusion?

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

Precision?

1.0

Recall?

1.0

Freqs

test

number	freq
0	90
1	28
2	138

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

59.0ms	274×	1	valid
16.0ms	238×	0	valid

Compiler

Compiled 89 to 28 computations (68.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 56.0ms

ival-tan: 17.0ms (30.6% of total)

ival-div: 15.0ms (27% of total)

ival-sin: 14.0ms (25.2% of total)

adjust: 5.0ms (9% of total)

ival-mult: 4.0ms (7.2% of total)

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

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

exact: 0.0ms (0% of total)

preprocess189.0ms (2%)

Memory

3.1MiB live, 232.0MiB allocated; 38ms collecting garbage

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: 0.1MiB live, 0.1MiB allocated; 0ms collecting garbage
Compiler: Compiled 0 to 2 computations (-∞% saved)

prune0.0ms (0%)

Memory

0.9MiB live, 0.9MiB allocated; 0ms collecting garbage

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	41.6%	(/.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)

simplify152.0ms (1.6%)

Memory

11.8MiB live, 270.8MiB allocated; 34ms collecting garbage

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)))

localize44.0ms (0.5%)

Memory

0.2MiB live, 92.6MiB allocated; 7ms collecting garbage

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.0	(*.f64 y #s(literal 2 binary64))
accuracy	6.703199278372283	(/.f64 (tan.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))))
accuracy	30.390325742935644	(sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))
accuracy	30.987013655655215	(tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))

Samples

27.0ms	137×	1	valid
8.0ms	119×	0	valid

Compiler

Compiled 38 to 10 computations (73.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 24.0ms

ival-sin: 7.0ms (29.5% of total)

ival-tan: 7.0ms (29.5% of total)

ival-div: 5.0ms (21.1% of total)

adjust: 2.0ms (8.4% of total)

ival-mult: 2.0ms (8.4% of total)

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

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

exact: 0.0ms (0% of total)

series29.0ms (0.3%)

Memory

-7.9MiB live, 37.6MiB allocated; 4ms 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
15.0ms	y	@	inf	((/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (tan (/ x (* y 2))) (/ x (* y 2)) (* y 2) (sin (/ x (* y 2))))
4.0ms	y	@	-inf	((/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (tan (/ x (* y 2))) (/ x (* y 2)) (* y 2) (sin (/ x (* y 2))))
3.0ms	x	@	0	((/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (tan (/ x (* y 2))) (/ x (* y 2)) (* y 2) (sin (/ x (* y 2))))
2.0ms	x	@	-inf	((/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (tan (/ x (* y 2))) (/ x (* y 2)) (* y 2) (sin (/ x (* y 2))))
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))))

simplify210.0ms (2.2%)

Memory

3.6MiB live, 286.0MiB allocated; 43ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	iter limit
1×	node limit

Counts

33 → 33

Calls

Call 1

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

Outputs
1
#s(literal 1 binary64)
(+ 1 (* 1/8 (/ (pow x 2) (pow y 2))))
(fma.f64 (/.f64 #s(literal 1/8 binary64) y) (/.f64 (*.f64 x x) y) #s(literal 1 binary64))
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(+ 1 (* (pow x 2) (+ (* (pow x 2) (+ (* 61/46080 (/ (pow x 2) (pow y 6))) (* 5/384 (/ 1 (pow y 4))))) (* 1/8 (/ 1 (pow y 2))))))
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(* 1/2 (/ x y))
(*.f64 (/.f64 #s(literal 1/2 binary64) y) x)
(* x (+ (* 1/24 (/ (pow x 2) (pow y 3))) (* 1/2 (/ 1 y))))
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(/ (sin (* 1/2 (/ x y))) (cos (* 1/2 (/ x y))))
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(/ (- (+ (* -1/48 (/ (pow x 3) (pow y 2))) (+ (* -1/645120 (/ (pow x 7) (pow y 6))) (+ (* 1/3840 (/ (pow x 5) (pow y 4))) (* 1/2 x)))) (+ (* -1/8 (/ (* (pow x 2) (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3)))) (pow y 4))) (+ (* -1/8 (/ (* (pow x 2) (- (* 1/3840 (pow x 5)) (+ (* -1/8 (* (pow x 2) (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3))))) (* 1/768 (pow x 5))))) (pow y 6))) (+ (* -1/16 (/ (pow x 3) (pow y 2))) (+ (* -1/92160 (/ (pow x 7) (pow y 6))) (+ (* 1/768 (/ (pow x 5) (pow y 4))) (* 1/384 (/ (* (pow x 4) (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3)))) (pow y 6))))))))) y)
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(/ (+ (* -1/48 (/ (pow x 3) (pow y 2))) (* 1/2 x)) y)
(.f64 (/.f64 (fma.f64 (/.f64 (.f64 x x) y) (/.f64 #s(literal -1/48 binary64) y) #s(literal 1/2 binary64)) y) x)
(/ (+ (* -1/48 (/ (pow x 3) (pow y 2))) (+ (* 1/3840 (/ (pow x 5) (pow y 4))) (* 1/2 x))) y)
(/.f64 (fma.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) y) (/.f64 #s(literal -1/48 binary64) y) (fma.f64 (/.f64 (pow.f64 x #s(literal 5 binary64)) (pow.f64 y #s(literal 4 binary64))) #s(literal 1/3840 binary64) (*.f64 #s(literal 1/2 binary64) x))) y)
(/ (+ (* -1/48 (/ (pow x 3) (pow y 2))) (+ (* -1/645120 (/ (pow x 7) (pow y 6))) (+ (* 1/3840 (/ (pow x 5) (pow y 4))) (* 1/2 x)))) y)
(/.f64 (fma.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) y) (/.f64 #s(literal -1/48 binary64) y) (fma.f64 (pow.f64 x #s(literal 7 binary64)) (/.f64 #s(literal -1/645120 binary64) (pow.f64 y #s(literal 6 binary64))) (fma.f64 (/.f64 (pow.f64 x #s(literal 5 binary64)) (pow.f64 y #s(literal 4 binary64))) #s(literal 1/3840 binary64) (*.f64 #s(literal 1/2 binary64) x)))) y)
(- (+ 1 (* -2 (/ (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3))) (* x (pow y 2))))) (* -1/24 (/ (pow x 2) (pow y 2))))
(-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 2 binary64) (/.f64 (.f64 #s(literal -1/24 binary64) (pow.f64 x #s(literal 3 binary64))) x) (.f64 #s(literal -1/24 binary64) (.f64 x x))) (.f64 y y)))
(- (+ 1 (+ (* -2 (/ (- (* -1/3840 (pow x 5)) (+ (* -1/8 (* (pow x 2) (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3))))) (* -1/768 (pow x 5)))) (* x (pow y 4)))) (* -2 (/ (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3))) (* x (pow y 2)))))) (+ (* -1/24 (/ (* (pow x 2) (- (* -2 (/ (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3))) x)) (* -1/24 (pow x 2)))) (pow y 4))) (+ (* -1/24 (/ (pow x 2) (pow y 2))) (* 1/1920 (/ (pow x 4) (pow y 4))))))
(fma.f64 (/.f64 (fma.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) y) (/.f64 #s(literal -1/24 binary64) y) (/.f64 (-.f64 (.f64 #s(literal -1/3840 binary64) (pow.f64 x #s(literal 5 binary64))) (fma.f64 (.f64 #s(literal -1/8 binary64) (.f64 #s(literal -1/24 binary64) (pow.f64 x #s(literal 3 binary64)))) (.f64 x x) (.f64 #s(literal -1/768 binary64) (pow.f64 x #s(literal 5 binary64))))) (pow.f64 y #s(literal 4 binary64)))) x) #s(literal -2 binary64) (-.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (.f64 #s(literal -1/24 binary64) x) y) (/.f64 x y) (/.f64 (fma.f64 (.f64 #s(literal -1/24 binary64) (fma.f64 #s(literal 1/24 binary64) (.f64 x x) (.f64 (/.f64 (.f64 #s(literal -1/24 binary64) (pow.f64 x #s(literal 3 binary64))) x) #s(literal -2 binary64)))) (.f64 x x) (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/1920 binary64))) (pow.f64 y #s(literal 4 binary64))))))
(- (+ 1 (+ (* -2 (/ (- (* -1/3840 (pow x 5)) (+ (* -1/8 (* (pow x 2) (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3))))) (* -1/768 (pow x 5)))) (* x (pow y 4)))) (+ (* -2 (/ (- (* 1/645120 (pow x 7)) (+ (* -1/8 (* (pow x 2) (- (* -1/3840 (pow x 5)) (+ (* -1/8 (* (pow x 2) (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3))))) (* -1/768 (pow x 5)))))) (+ (* 1/92160 (pow x 7)) (* 1/384 (* (pow x 4) (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3)))))))) (* x (pow y 6)))) (* -2 (/ (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3))) (* x (pow y 2))))))) (+ (* -1/24 (/ (* (pow x 2) (- (* -2 (/ (- (* -1/3840 (pow x 5)) (+ (* -1/8 (* (pow x 2) (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3))))) (* -1/768 (pow x 5)))) x)) (+ (* -1/24 (* (pow x 2) (- (* -2 (/ (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3))) x)) (* -1/24 (pow x 2))))) (* 1/1920 (pow x 4))))) (pow y 6))) (+ (* -1/24 (/ (* (pow x 2) (- (* -2 (/ (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3))) x)) (* -1/24 (pow x 2)))) (pow y 4))) (+ (* -1/24 (/ (pow x 2) (pow y 2))) (+ (* -1/322560 (/ (pow x 6) (pow y 6))) (+ (* 1/1920 (/ (* (pow x 4) (- (* -2 (/ (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3))) x)) (* -1/24 (pow x 2)))) (pow y 6))) (* 1/1920 (/ (pow x 4) (pow y 4)))))))))
(-.f64 (fma.f64 #s(literal -2 binary64) (+.f64 (/.f64 (fma.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) y) (/.f64 #s(literal -1/24 binary64) y) (/.f64 (-.f64 (.f64 #s(literal 1/645120 binary64) (pow.f64 x #s(literal 7 binary64))) (fma.f64 (.f64 #s(literal -1/8 binary64) (.f64 x x)) (-.f64 (.f64 #s(literal -1/3840 binary64) (pow.f64 x #s(literal 5 binary64))) (fma.f64 (.f64 #s(literal -1/8 binary64) (.f64 #s(literal -1/24 binary64) (pow.f64 x #s(literal 3 binary64)))) (.f64 x x) (.f64 #s(literal -1/768 binary64) (pow.f64 x #s(literal 5 binary64))))) (fma.f64 (.f64 #s(literal 1/384 binary64) (.f64 #s(literal -1/24 binary64) (pow.f64 x #s(literal 3 binary64)))) (pow.f64 x #s(literal 4 binary64)) (.f64 #s(literal 1/92160 binary64) (pow.f64 x #s(literal 7 binary64)))))) (pow.f64 y #s(literal 6 binary64)))) x) (/.f64 (-.f64 (.f64 #s(literal -1/3840 binary64) (pow.f64 x #s(literal 5 binary64))) (fma.f64 (.f64 #s(literal -1/8 binary64) (.f64 #s(literal -1/24 binary64) (pow.f64 x #s(literal 3 binary64)))) (.f64 x x) (.f64 #s(literal -1/768 binary64) (pow.f64 x #s(literal 5 binary64))))) (.f64 (pow.f64 y #s(literal 4 binary64)) x))) #s(literal 1 binary64)) (fma.f64 (.f64 (-.f64 (fma.f64 (/.f64 (-.f64 (.f64 #s(literal -1/3840 binary64) (pow.f64 x #s(literal 5 binary64))) (fma.f64 (.f64 #s(literal -1/8 binary64) (.f64 #s(literal -1/24 binary64) (pow.f64 x #s(literal 3 binary64)))) (.f64 x x) (.f64 #s(literal -1/768 binary64) (pow.f64 x #s(literal 5 binary64))))) x) #s(literal -2 binary64) (.f64 (.f64 #s(literal 1/24 binary64) (.f64 x x)) (fma.f64 #s(literal 1/24 binary64) (.f64 x x) (.f64 (/.f64 (.f64 #s(literal -1/24 binary64) (pow.f64 x #s(literal 3 binary64))) x) #s(literal -2 binary64))))) (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/1920 binary64))) (.f64 x (/.f64 x (pow.f64 y #s(literal 6 binary64))))) #s(literal -1/24 binary64) (fma.f64 #s(literal -1/24 binary64) (fma.f64 (/.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 x x) (.f64 (/.f64 (.f64 #s(literal -1/24 binary64) (pow.f64 x #s(literal 3 binary64))) x) #s(literal -2 binary64))) (pow.f64 y #s(literal 4 binary64))) (.f64 x x) (.f64 (/.f64 x y) (/.f64 x y))) (fma.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) #s(literal 1/1920 binary64) (/.f64 (fma.f64 (.f64 #s(literal 1/1920 binary64) (fma.f64 #s(literal 1/24 binary64) (.f64 x x) (.f64 (/.f64 (.f64 #s(literal -1/24 binary64) (pow.f64 x #s(literal 3 binary64))) x) #s(literal -2 binary64)))) (pow.f64 x #s(literal 4 binary64)) (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -1/322560 binary64))) (pow.f64 y #s(literal 6 binary64)))))))
(* -1 (/ (- (+ (* -1/2 x) (* 1/48 (/ (pow x 3) (pow y 2)))) (* 1/16 (/ (pow x 3) (pow y 2)))) y))
(/.f64 (fma.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) y) (/.f64 #s(literal -1/24 binary64) y) (*.f64 #s(literal -1/2 binary64) x)) (neg.f64 y))
(* -1 (/ (- (+ (* -1/2 x) (+ (* -1/3840 (/ (pow x 5) (pow y 4))) (* 1/48 (/ (pow x 3) (pow y 2))))) (+ (* -1/8 (/ (* (pow x 2) (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3)))) (pow y 4))) (+ (* -1/768 (/ (pow x 5) (pow y 4))) (* 1/16 (/ (pow x 3) (pow y 2)))))) y))
(/.f64 (-.f64 (fma.f64 (pow.f64 x #s(literal 5 binary64)) (/.f64 #s(literal -1/3840 binary64) (pow.f64 y #s(literal 4 binary64))) (fma.f64 (/.f64 #s(literal 1/48 binary64) y) (/.f64 (pow.f64 x #s(literal 3 binary64)) y) (.f64 #s(literal -1/2 binary64) x))) (fma.f64 (/.f64 #s(literal 1/16 binary64) y) (/.f64 (pow.f64 x #s(literal 3 binary64)) y) (/.f64 (fma.f64 (.f64 #s(literal -1/8 binary64) (.f64 #s(literal -1/24 binary64) (pow.f64 x #s(literal 3 binary64)))) (.f64 x x) (*.f64 #s(literal -1/768 binary64) (pow.f64 x #s(literal 5 binary64)))) (pow.f64 y #s(literal 4 binary64))))) (neg.f64 y))
(* -1 (/ (- (+ (* -1/2 x) (+ (* -1/3840 (/ (pow x 5) (pow y 4))) (+ (* 1/645120 (/ (pow x 7) (pow y 6))) (* 1/48 (/ (pow x 3) (pow y 2)))))) (+ (* -1/8 (/ (* (pow x 2) (- (* -1/3840 (pow x 5)) (+ (* -1/8 (* (pow x 2) (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3))))) (* -1/768 (pow x 5))))) (pow y 6))) (+ (* -1/8 (/ (* (pow x 2) (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3)))) (pow y 4))) (+ (* -1/768 (/ (pow x 5) (pow y 4))) (+ (* 1/92160 (/ (pow x 7) (pow y 6))) (+ (* 1/384 (/ (* (pow x 4) (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3)))) (pow y 6))) (* 1/16 (/ (pow x 3) (pow y 2))))))))) y))
(/.f64 (-.f64 (fma.f64 #s(literal -1/2 binary64) x (fma.f64 (pow.f64 x #s(literal 7 binary64)) (/.f64 #s(literal 1/645120 binary64) (pow.f64 y #s(literal 6 binary64))) (fma.f64 (/.f64 #s(literal 1/48 binary64) y) (/.f64 (pow.f64 x #s(literal 3 binary64)) y) (.f64 (pow.f64 x #s(literal 5 binary64)) (/.f64 #s(literal -1/3840 binary64) (pow.f64 y #s(literal 4 binary64))))))) (fma.f64 (.f64 #s(literal -1/8 binary64) (.f64 x x)) (/.f64 (-.f64 (.f64 #s(literal -1/3840 binary64) (pow.f64 x #s(literal 5 binary64))) (fma.f64 (.f64 #s(literal -1/8 binary64) (.f64 #s(literal -1/24 binary64) (pow.f64 x #s(literal 3 binary64)))) (.f64 x x) (.f64 #s(literal -1/768 binary64) (pow.f64 x #s(literal 5 binary64))))) (pow.f64 y #s(literal 6 binary64))) (+.f64 (/.f64 (fma.f64 (.f64 #s(literal -1/8 binary64) (.f64 #s(literal -1/24 binary64) (pow.f64 x #s(literal 3 binary64)))) (.f64 x x) (.f64 #s(literal -1/768 binary64) (pow.f64 x #s(literal 5 binary64)))) (pow.f64 y #s(literal 4 binary64))) (fma.f64 (/.f64 #s(literal 1/16 binary64) y) (/.f64 (pow.f64 x #s(literal 3 binary64)) y) (/.f64 (fma.f64 (.f64 #s(literal 1/384 binary64) (.f64 #s(literal -1/24 binary64) (pow.f64 x #s(literal 3 binary64)))) (pow.f64 x #s(literal 4 binary64)) (*.f64 #s(literal 1/92160 binary64) (pow.f64 x #s(literal 7 binary64)))) (pow.f64 y #s(literal 6 binary64))))))) (neg.f64 y))
(* -1 (/ (+ (* -1/2 x) (* 1/48 (/ (pow x 3) (pow y 2)))) y))
(.f64 (/.f64 (fma.f64 (/.f64 (.f64 x x) y) (/.f64 #s(literal -1/48 binary64) y) #s(literal 1/2 binary64)) y) x)
(* -1 (/ (+ (* -1/2 x) (+ (* -1/3840 (/ (pow x 5) (pow y 4))) (* 1/48 (/ (pow x 3) (pow y 2))))) y))
(/.f64 (fma.f64 (pow.f64 x #s(literal 5 binary64)) (/.f64 #s(literal -1/3840 binary64) (pow.f64 y #s(literal 4 binary64))) (fma.f64 (/.f64 #s(literal 1/48 binary64) y) (/.f64 (pow.f64 x #s(literal 3 binary64)) y) (*.f64 #s(literal -1/2 binary64) x))) (neg.f64 y))
(* -1 (/ (+ (* -1/2 x) (+ (* -1/3840 (/ (pow x 5) (pow y 4))) (+ (* 1/645120 (/ (pow x 7) (pow y 6))) (* 1/48 (/ (pow x 3) (pow y 2)))))) y))
(/.f64 (fma.f64 #s(literal -1/2 binary64) x (fma.f64 (pow.f64 x #s(literal 7 binary64)) (/.f64 #s(literal 1/645120 binary64) (pow.f64 y #s(literal 6 binary64))) (fma.f64 (/.f64 #s(literal 1/48 binary64) y) (/.f64 (pow.f64 x #s(literal 3 binary64)) y) (*.f64 (pow.f64 x #s(literal 5 binary64)) (/.f64 #s(literal -1/3840 binary64) (pow.f64 y #s(literal 4 binary64))))))) (neg.f64 y))

rewrite122.0ms (1.3%)

Memory

-3.0MiB live, 183.4MiB allocated; 37ms 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)

eval8.0ms (0.1%)

Memory: 12.6MiB live, 12.6MiB allocated; 0ms collecting garbage
Compiler: Compiled 2 105 to 381 computations (81.9% saved)

prune6.0ms (0.1%)

Memory

11.9MiB live, 11.9MiB allocated; 0ms 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

57.6%

Counts

56 → 10

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	4.3%	(/.f64 (tan.f64 (/.f64 (/.f64 x y) #s(literal -2 binary64))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
✓	41.6%	(/.f64 (tan.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))))
▶	31.8%	(/.f64 (tan.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) #s(approx (sin (/ x ( y 2))) (.f64 (/.f64 (fma.f64 (/.f64 (.f64 x x) y) (/.f64 #s(literal -1/48 binary64) y) #s(literal 1/2 binary64)) y) x)))
	41.4%	(/.f64 (tan.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) #s(approx (sin (/ x ( y 2))) (sin.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x))))
	41.0%	(/.f64 #s(approx (tan (/ x (* y 2))) (/.f64 (sin.f64 (.f64 (/.f64 #s(literal 1/2 binary64) y) x)) (cos.f64 (.f64 (/.f64 #s(literal 1/2 binary64) y) x)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
	35.8%	(/.f64 #s(approx (tan (/ x (* y 2))) (.f64 (/.f64 #s(literal 1/2 binary64) y) x)) (sin.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))))
▶	42.3%	#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (fma.f64 (/.f64 #s(literal 1/8 binary64) y) (/.f64 (*.f64 x x) y) #s(literal 1 binary64)))
▶	52.0%	#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))))
	51.0%	#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)

simplify111.0ms (1.2%)

Memory

1.1MiB live, 88.4MiB allocated; 18ms collecting garbage

Localize:

Found 16 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Calls

Call 1

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

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

localize362.0ms (3.8%)

Memory

-5.4MiB live, 385.5MiB allocated; 56ms collecting garbage

Localize:

Found 16 expressions of interest:

New	Metric	Score
accuracy	0.0	(*.f64 y #s(literal 2 binary64))
accuracy	6.87021469909806	(/.f64 (tan.f64 (/.f64 (/.f64 x y) #s(literal -2 binary64))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
accuracy	30.390325742935644	(sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))
accuracy	31.005588459508502	(tan.f64 (/.f64 (/.f64 x y) #s(literal -2 binary64)))
accuracy	6.703199278372283	(/.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	8.634576608920165	(/.f64 (*.f64 x x) y)
accuracy	30.987013655655215	(tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))
accuracy	34.21927074683408	#s(approx (sin (/ x (* y 2))) (.f64 (/.f64 (fma.f64 (/.f64 (.f64 x x) y) (/.f64 #s(literal -1/48 binary64) y) #s(literal 1/2 binary64)) y) x))
accuracy	0.0	(*.f64 x x)
accuracy	2.8697379473699023	(fma.f64 (/.f64 #s(literal 1/8 binary64) y) (/.f64 (*.f64 x x) y) #s(literal 1 binary64))
accuracy	8.634576608920165	(/.f64 (*.f64 x x) y)
accuracy	34.25864179948	#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (fma.f64 (/.f64 #s(literal 1/8 binary64) y) (/.f64 (*.f64 x x) y) #s(literal 1 binary64)))
accuracy	0.0	#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x))))
accuracy	0.1484375	(/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)))
accuracy	0.2578125	(*.f64 (/.f64 #s(literal 1/2 binary64) y) x)
accuracy	30.45851745892197	(cos.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x))

Samples

265.0ms	137×	1	valid
27.0ms	119×	0	valid

Compiler

Compiled 214 to 34 computations (84.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 196.0ms

ival-div: 97.0ms (49.4% of total)

adjust: 32.0ms (16.3% of total)

ival-mult: 32.0ms (16.3% of total)

ival-tan: 13.0ms (6.6% of total)

ival-sin: 7.0ms (3.6% of total)

ival-cos: 6.0ms (3.1% of total)

const: 6.0ms (3.1% of total)

ival-add: 4.0ms (2% of total)

exact: 1.0ms (0.5% of total)

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

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

series49.0ms (0.5%)

Memory

-0.5MiB live, 49.7MiB allocated; 15ms collecting garbage

Counts

20 → 74

Calls

Call 1

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

Outputs
1
(+ 1 (* 1/8 (/ (pow x 2) (pow y 2))))
(+ 1 (* (pow x 2) (+ (* 5/384 (/ (pow x 2) (pow y 4))) (* 1/8 (/ 1 (pow y 2))))))
(+ 1 (* (pow x 2) (+ (* (pow x 2) (+ (* 61/46080 (/ (pow x 2) (pow y 6))) (* 5/384 (/ 1 (pow y 4))))) (* 1/8 (/ 1 (pow y 2))))))
(+ 1 (* -1/8 (/ (pow x 2) (pow y 2))))
(+ 1 (* (pow x 2) (- (* 1/384 (/ (pow x 2) (pow y 4))) (* 1/8 (/ 1 (pow y 2))))))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ (* -1/46080 (/ (pow x 2) (pow y 6))) (* 1/384 (/ 1 (pow y 4))))) (* 1/8 (/ 1 (pow y 2))))))
(* 1/2 (/ x y))
(/ (pow x 2) y)
(* x (+ (* -1/48 (/ (pow x 2) (pow y 3))) (* 1/2 (/ 1 y))))
(* x (+ (* 1/24 (/ (pow x 2) (pow y 3))) (* 1/2 (/ 1 y))))
(* x (+ (* (pow x 2) (+ (* 1/240 (/ (pow x 2) (pow y 5))) (* 1/24 (/ 1 (pow y 3))))) (* 1/2 (/ 1 y))))
(* x (+ (* (pow x 2) (+ (* (pow x 2) (+ (* 17/40320 (/ (pow x 2) (pow y 7))) (* 1/240 (/ 1 (pow y 5))))) (* 1/24 (/ 1 (pow y 3))))) (* 1/2 (/ 1 y))))
-1
(- (* -1/8 (/ (pow x 2) (pow y 2))) 1)
(- (* (pow x 2) (- (* -5/384 (/ (pow x 2) (pow y 4))) (* 1/8 (/ 1 (pow y 2))))) 1)
(- (* (pow x 2) (- (* (pow x 2) (- (* -61/46080 (/ (pow x 2) (pow y 6))) (* 5/384 (/ 1 (pow y 4))))) (* 1/8 (/ 1 (pow y 2))))) 1)
(* -1/2 (/ x y))
(* x (- (* -1/24 (/ (pow x 2) (pow y 3))) (* 1/2 (/ 1 y))))
(* x (- (* (pow x 2) (- (* -1/240 (/ (pow x 2) (pow y 5))) (* 1/24 (/ 1 (pow y 3))))) (* 1/2 (/ 1 y))))
(* x (- (* (pow x 2) (- (* (pow x 2) (- (* -17/40320 (/ (pow x 2) (pow y 7))) (* 1/240 (/ 1 (pow y 5))))) (* 1/24 (/ 1 (pow y 3))))) (* 1/2 (/ 1 y))))
(/ x y)
(pow x 2)
(* x (+ (* (pow x 2) (- (* 1/3840 (/ (pow x 2) (pow y 5))) (* 1/48 (/ 1 (pow y 3))))) (* 1/2 (/ 1 y))))
(* x (+ (* (pow x 2) (- (* (pow x 2) (+ (* -1/645120 (/ (pow x 2) (pow y 7))) (* 1/3840 (/ 1 (pow y 5))))) (* 1/48 (/ 1 (pow y 3))))) (* 1/2 (/ 1 y))))
(/ 1 (cos (* 1/2 (/ x y))))
(cos (* 1/2 (/ x y)))
(* 1/8 (/ (pow x 2) (pow y 2)))
(* (pow x 2) (+ (/ 1 (pow x 2)) (* 1/8 (/ 1 (pow y 2)))))
(* -1/48 (/ (pow x 3) (pow y 3)))
(* (pow x 3) (- (* 1/2 (/ 1 (* (pow x 2) y))) (* 1/48 (/ 1 (pow y 3)))))
(/ (sin (* 1/2 (/ x y))) (cos (* 1/2 (/ x y))))
(/ (sin (* -1/2 (/ x y))) (* (cos (* -1/2 (/ x y))) (sin (* 1/2 (/ x y)))))
(/ (sin (* -1/2 (/ x y))) (cos (* -1/2 (/ x y))))
(sin (* 1/2 (/ x y)))
(* -1 (* (pow x 3) (- (* 1/48 (/ 1 (pow y 3))) (* 1/2 (/ 1 (* (pow x 2) y))))))
(/ (+ (* 1/8 (pow x 2)) (pow y 2)) (pow y 2))
(/ 1/8 y)
(/ (+ (* -1/48 (pow x 3)) (* 1/2 (* x (pow y 2)))) (pow y 3))
(* 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
19.0ms	x	@	-inf	((/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/ 1 (cos (* (/ 1/2 y) x))) (cos (* (/ 1/2 y) x)) (* (/ 1/2 y) x) (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (+ (* (/ 1/8 y) (/ (* x x) y)) 1) (/ 1/8 y) (/ (* x x) y) (* (/ (+ (* (/ (* x x) y) (/ -1/48 y)) 1/2) y) x) (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (tan (/ x (* y 2))) (/ x (* y 2)) (/ (tan (/ (/ x y) -2)) (sin (/ x (* y 2)))) (tan (/ (/ x y) -2)) (/ (/ x y) -2) (/ x y) (* x x) (sin (/ x (* y 2))) (sin (/ x (* y 2))) (* y 2))
7.0ms	x	@	inf	((/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/ 1 (cos (* (/ 1/2 y) x))) (cos (* (/ 1/2 y) x)) (* (/ 1/2 y) x) (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (+ (* (/ 1/8 y) (/ (* x x) y)) 1) (/ 1/8 y) (/ (* x x) y) (* (/ (+ (* (/ (* x x) y) (/ -1/48 y)) 1/2) y) x) (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (tan (/ x (* y 2))) (/ x (* y 2)) (/ (tan (/ (/ x y) -2)) (sin (/ x (* y 2)))) (tan (/ (/ x y) -2)) (/ (/ x y) -2) (/ x y) (* x x) (sin (/ x (* y 2))) (sin (/ x (* y 2))) (* y 2))
6.0ms	y	@	inf	((/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/ 1 (cos (* (/ 1/2 y) x))) (cos (* (/ 1/2 y) x)) (* (/ 1/2 y) x) (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (+ (* (/ 1/8 y) (/ (* x x) y)) 1) (/ 1/8 y) (/ (* x x) y) (* (/ (+ (* (/ (* x x) y) (/ -1/48 y)) 1/2) y) x) (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (tan (/ x (* y 2))) (/ x (* y 2)) (/ (tan (/ (/ x y) -2)) (sin (/ x (* y 2)))) (tan (/ (/ x y) -2)) (/ (/ x y) -2) (/ x y) (* x x) (sin (/ x (* y 2))) (sin (/ x (* y 2))) (* y 2))
5.0ms	y	@	-inf	((/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/ 1 (cos (* (/ 1/2 y) x))) (cos (* (/ 1/2 y) x)) (* (/ 1/2 y) x) (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (+ (* (/ 1/8 y) (/ (* x x) y)) 1) (/ 1/8 y) (/ (* x x) y) (* (/ (+ (* (/ (* x x) y) (/ -1/48 y)) 1/2) y) x) (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (tan (/ x (* y 2))) (/ x (* y 2)) (/ (tan (/ (/ x y) -2)) (sin (/ x (* y 2)))) (tan (/ (/ x y) -2)) (/ (/ x y) -2) (/ x y) (* x x) (sin (/ x (* y 2))) (sin (/ x (* y 2))) (* y 2))
4.0ms	y	@	0	((/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/ 1 (cos (* (/ 1/2 y) x))) (cos (* (/ 1/2 y) x)) (* (/ 1/2 y) x) (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (+ (* (/ 1/8 y) (/ (* x x) y)) 1) (/ 1/8 y) (/ (* x x) y) (* (/ (+ (* (/ (* x x) y) (/ -1/48 y)) 1/2) y) x) (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (tan (/ x (* y 2))) (/ x (* y 2)) (/ (tan (/ (/ x y) -2)) (sin (/ x (* y 2)))) (tan (/ (/ x y) -2)) (/ (/ x y) -2) (/ x y) (* x x) (sin (/ x (* y 2))) (sin (/ x (* y 2))) (* y 2))

simplify280.0ms (2.9%)

Memory

14.0MiB live, 283.6MiB allocated; 90ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	492	3230
1	1543	3096
2	6134	3038
0	8240	2846

Stop Event

1×	iter limit
1×	node limit

Counts

74 → 74

Calls

Call 1

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

rewrite194.0ms (2%)

Memory

-68.7MiB live, 368.3MiB allocated; 75ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	37	196
0	62	196
1	174	196
2	943	196
0	8445	196

Stop Event

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

Counts

20 → 283

Calls

Call 1

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

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

eval54.0ms (0.6%)

Memory: 9.3MiB live, 153.3MiB allocated; 12ms collecting garbage
Compiler: Compiled 14 500 to 1 749 computations (87.9% saved)

prune42.0ms (0.4%)

Memory

3.6MiB live, 85.0MiB allocated; 21ms collecting garbage

Pruning

25 alts after pruning (22 fresh and 3 done)

	Pruned	Kept	Total
New	379	19	398
Fresh	1	3	4
Picked	3	2	5
Done	0	1	1
Total	383	25	408

Accuracy

59.4%

Counts

408 → 25

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	4.8%	(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x y))) (sin.f64 (/.f64 (neg.f64 x) y))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
	4.8%	(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (sin.f64 (/.f64 (neg.f64 x) y))) (/.f64 (cos.f64 (/.f64 x y)) (sin.f64 (/.f64 (neg.f64 x) y)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
	4.8%	(/.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)))))
	1.9%	(/.f64 (tan.f64 (/.f64 (/.f64 x y) #s(literal -2 binary64))) (sin.f64 (/.f64 x (/.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)))))))
	5.3%	(/.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))))
✓	41.6%	(/.f64 (tan.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))))
	41.4%	(/.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))))
	4.3%	(/.f64 (tan.f64 (/.f64 x (.f64 #s(literal -2 binary64) y))) (sin.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))))
▶	31.6%	(/.f64 #s(approx (tan (/ x (* y 2))) (fma.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)) #s(literal 1/24 binary64) (.f64 (/.f64 x y) #s(literal 1/2 binary64)))) #s(approx (sin (/ x ( y 2))) (.f64 (/.f64 (fma.f64 (/.f64 (.f64 x x) y) (/.f64 #s(literal -1/48 binary64) y) #s(literal 1/2 binary64)) y) x)))
	41.0%	(/.f64 #s(approx (tan (/ x (* y 2))) (/.f64 (sin.f64 (.f64 (/.f64 #s(literal 1/2 binary64) y) x)) (cos.f64 (.f64 (/.f64 #s(literal 1/2 binary64) y) x)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
	7.3%	#s(approx (/ (tan (/ (/ x y) -2)) (sin (/ x (* y 2)))) #s(literal -1 binary64))
✓	42.3%	#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)))
	47.8%	#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)))
	51.5%	#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (sin.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) y) x (/.f64 (PI.f64) #s(literal 2 binary64))))))
▶	52.3%	#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))))))
	52.1%	#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (sin.f64 (+.f64 (neg.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) y) x (/.f64 (PI.f64) #s(literal 2 binary64)))) (PI.f64)))))
	52.1%	#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (sin.f64 (neg.f64 (+.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) y) x (/.f64 (PI.f64) #s(literal 2 binary64))) (PI.f64))))))
	52.2%	#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))))
	51.9%	#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) y) x (PI.f64)) (PI.f64)))))
▶	52.2%	#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)))))
✓	52.0%	#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))))
	47.2%	#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)))))
	51.3%	#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)))))
	47.8%	#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)))))
▶	51.0%	#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(literal 1 binary64))

Compiler

Compiled 1 133 to 766 computations (32.4% saved)

simplify127.0ms (1.3%)

Memory

11.7MiB live, 157.5MiB allocated; 39ms collecting garbage

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	49	380
0	84	362
1	146	352
2	307	352
3	892	347
4	3429	347
5	7016	347
0	8010	344

Stop Event

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

Calls

Call 1

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

localize437.0ms (4.5%)

Memory

33.9MiB live, 593.3MiB allocated; 107ms collecting garbage

Localize:

Found 17 expressions of interest:

New	Metric	Score
accuracy	14.839204592215381	(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x y))) (sin.f64 (/.f64 (neg.f64 x) y)))
accuracy	30.390325742935644	(sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))
accuracy	30.715970627211824	(sin.f64 (/.f64 (neg.f64 x) y))
accuracy	30.915202275439455	(cos.f64 (/.f64 x y))
accuracy	6.703199278372283	(/.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	8.634576608920165	(/.f64 (*.f64 x x) y)
accuracy	34.21927074683408	#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	34.24946517993987	#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	0.0078125	(+.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 x y) (PI.f64)) (PI.f64))
accuracy	0.015625	(fma.f64 #s(literal -1/2 binary64) (/.f64 x y) (PI.f64))
accuracy	0.1484375	(/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 x y) (PI.f64)) (PI.f64))))
accuracy	30.43278762574999	(cos.f64 (+.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 x y) (PI.f64)) (PI.f64)))
accuracy	31.3510897493033	#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) (sin.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 x y) (/.f64 (PI.f64) #s(literal 2 binary64))))))
accuracy	0.01953125	(fma.f64 #s(literal -1/2 binary64) (/.f64 x y) (/.f64 (PI.f64) #s(literal 2 binary64)))
accuracy	0.1484375	(/.f64 #s(literal 1 binary64) (sin.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 x y) (/.f64 (PI.f64) #s(literal 2 binary64)))))
accuracy	30.348427041922807	(sin.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 x y) (/.f64 (PI.f64) #s(literal 2 binary64))))

Samples

260.0ms	169×	1	valid
63.0ms	37×	3	valid
62.0ms	46×	2	valid
2.0ms	1×	4	valid
1.0ms	3×	0	valid

Compiler

Compiled 311 to 45 computations (85.5% saved)

Precisions

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

ival-sin: 58.0ms (19.5% of total)

adjust: 51.0ms (17.2% of total)

ival-div: 45.0ms (15.2% of total)

ival-cos: 45.0ms (15.2% of total)

ival-tan: 39.0ms (13.1% of total)

ival-mult: 19.0ms (6.4% of total)

const: 15.0ms (5.1% of total)

ival-add: 12.0ms (4% of total)

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

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

ival-pi: 2.0ms (0.7% 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)

series68.0ms (0.7%)

Memory

-0.2MiB live, 95.8MiB allocated; 31ms collecting garbage

Counts

22 → 142

Calls

Call 1

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

Outputs
(sin (* 1/2 (PI)))
(+ (sin (* 1/2 (PI))) (* -1/2 (/ (* x (cos (* 1/2 (PI)))) y)))
(+ (sin (* 1/2 (PI))) (* x (+ (* -1/2 (/ (cos (* 1/2 (PI))) y)) (* -1/8 (/ (* x (sin (* 1/2 (PI)))) (pow y 2))))))
(+ (sin (* 1/2 (PI))) (* x (+ (* -1/2 (/ (cos (* 1/2 (PI))) y)) (* x (+ (* -1/8 (/ (sin (* 1/2 (PI))) (pow y 2))) (* 1/48 (/ (* x (cos (* 1/2 (PI)))) (pow y 3))))))))
1
(+ 1 (* 1/8 (/ (pow x 2) (pow y 2))))
(+ 1 (* (pow x 2) (+ (* 5/384 (/ (pow x 2) (pow y 4))) (* 1/8 (/ 1 (pow y 2))))))
(+ 1 (* (pow x 2) (+ (* (pow x 2) (+ (* 61/46080 (/ (pow x 2) (pow y 6))) (* 5/384 (/ 1 (pow y 4))))) (* 1/8 (/ 1 (pow y 2))))))
(/ 1 (sin (* 1/2 (PI))))
(+ (* 1/2 (/ (* x (cos (* 1/2 (PI)))) (* y (pow (sin (* 1/2 (PI))) 2)))) (/ 1 (sin (* 1/2 (PI)))))
(+ (* x (- (* x (- (* 1/8 (/ 1 (* (pow y 2) (sin (* 1/2 (PI)))))) (* -1/4 (/ (pow (cos (* 1/2 (PI))) 2) (* (pow y 2) (pow (sin (* 1/2 (PI))) 3)))))) (* -1/2 (/ (cos (* 1/2 (PI))) (* y (pow (sin (* 1/2 (PI))) 2)))))) (/ 1 (sin (* 1/2 (PI)))))
(+ (* x (- (* x (- (+ (* -1 (* x (+ (* -1/2 (/ (* (cos (* 1/2 (PI))) (- (* 1/8 (/ 1 (* (pow y 2) (sin (* 1/2 (PI)))))) (* -1/4 (/ (pow (cos (* 1/2 (PI))) 2) (* (pow y 2) (pow (sin (* 1/2 (PI))) 3)))))) (* y (sin (* 1/2 (PI)))))) (+ (* -1/16 (/ (cos (* 1/2 (PI))) (* (pow y 3) (pow (sin (* 1/2 (PI))) 2)))) (* 1/48 (/ (cos (* 1/2 (PI))) (* (pow y 3) (pow (sin (* 1/2 (PI))) 2)))))))) (* 1/8 (/ 1 (* (pow y 2) (sin (* 1/2 (PI))))))) (* -1/4 (/ (pow (cos (* 1/2 (PI))) 2) (* (pow y 2) (pow (sin (* 1/2 (PI))) 3)))))) (* -1/2 (/ (cos (* 1/2 (PI))) (* y (pow (sin (* 1/2 (PI))) 2)))))) (/ 1 (sin (* 1/2 (PI)))))
(* 1/2 (PI))
(+ (* -1/2 (/ x y)) (* 1/2 (PI)))
(cos (* 2 (PI)))
(+ (cos (* 2 (PI))) (* 1/2 (/ (* x (sin (* 2 (PI)))) y)))
(+ (cos (* 2 (PI))) (* x (- (* -1/8 (/ (* x (cos (* 2 (PI)))) (pow y 2))) (* -1/2 (/ (sin (* 2 (PI))) y)))))
(+ (cos (* 2 (PI))) (* x (- (* x (+ (* -1/8 (/ (cos (* 2 (PI))) (pow y 2))) (* -1/48 (/ (* x (sin (* 2 (PI)))) (pow y 3))))) (* -1/2 (/ (sin (* 2 (PI))) y)))))
(/ 1 (cos (* 2 (PI))))
(+ (* -1/2 (/ (* x (sin (* 2 (PI)))) (* y (pow (cos (* 2 (PI))) 2)))) (/ 1 (cos (* 2 (PI)))))
(+ (* x (- (* x (- (* 1/8 (/ 1 (* (pow y 2) (cos (* 2 (PI)))))) (* -1/4 (/ (pow (sin (* 2 (PI))) 2) (* (pow y 2) (pow (cos (* 2 (PI))) 3)))))) (* 1/2 (/ (sin (* 2 (PI))) (* y (pow (cos (* 2 (PI))) 2)))))) (/ 1 (cos (* 2 (PI)))))
(+ (* x (- (* x (- (+ (* -1 (* x (+ (* -1/48 (/ (sin (* 2 (PI))) (* (pow y 3) (pow (cos (* 2 (PI))) 2)))) (+ (* 1/16 (/ (sin (* 2 (PI))) (* (pow y 3) (pow (cos (* 2 (PI))) 2)))) (* 1/2 (/ (* (sin (* 2 (PI))) (- (* 1/8 (/ 1 (* (pow y 2) (cos (* 2 (PI)))))) (* -1/4 (/ (pow (sin (* 2 (PI))) 2) (* (pow y 2) (pow (cos (* 2 (PI))) 3)))))) (* y (cos (* 2 (PI)))))))))) (* 1/8 (/ 1 (* (pow y 2) (cos (* 2 (PI))))))) (* -1/4 (/ (pow (sin (* 2 (PI))) 2) (* (pow y 2) (pow (cos (* 2 (PI))) 3)))))) (* 1/2 (/ (sin (* 2 (PI))) (* y (pow (cos (* 2 (PI))) 2)))))) (/ 1 (cos (* 2 (PI)))))
(* 2 (PI))
(+ (* -1/2 (/ x y)) (* 2 (PI)))
(* 1/2 (/ 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))))
(* -1/2 (/ x y))
(* x (- (* -1/24 (/ (pow x 2) (pow y 3))) (* 1/2 (/ 1 y))))
(* x (- (* (pow x 2) (- (* -1/240 (/ (pow x 2) (pow y 5))) (* 1/24 (/ 1 (pow y 3))))) (* 1/2 (/ 1 y))))
(* x (- (* (pow x 2) (- (* (pow x 2) (- (* -17/40320 (/ (pow x 2) (pow y 7))) (* 1/240 (/ 1 (pow y 5))))) (* 1/24 (/ 1 (pow y 3))))) (* 1/2 (/ 1 y))))
-1
(- (* -1/8 (/ (pow x 2) (pow y 2))) 1)
(- (* (pow x 2) (- (* -5/384 (/ (pow x 2) (pow y 4))) (* 1/8 (/ 1 (pow y 2))))) 1)
(- (* (pow x 2) (- (* (pow x 2) (- (* (pow x 2) (- (* 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))))))
(PI)
(+ (PI) (* -1/2 (/ 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 (/ 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)))
(sin (- (* 1/2 (PI)) (* 1/2 (/ x y))))
(/ 1 (cos (* 1/2 (/ x y))))
(/ 1 (sin (- (* 1/2 (PI)) (* 1/2 (/ x y)))))
(* x (- (* 1/2 (/ (PI) x)) (* 1/2 (/ 1 y))))
(cos (- (* 2 (PI)) (* 1/2 (/ x y))))
(/ 1 (cos (- (* 2 (PI)) (* 1/2 (/ x y)))))
(* x (- (* 2 (/ (PI) x)) (* 1/2 (/ 1 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))))
(* 1/24 (/ (pow x 3) (pow y 3)))
(* (pow x 3) (+ (* 1/2 (/ 1 (* (pow x 2) y))) (* 1/24 (/ 1 (pow y 3)))))
(/ (- 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))
(* x (- (/ (PI) x) (* 1/2 (/ 1 y))))
(sin (* 1/2 (/ x y)))
(sin (* -1 (/ x y)))
(sin (+ (* -1/2 (/ x y)) (* 1/2 (PI))))
(/ 1 (sin (+ (* -1/2 (/ x y)) (* 1/2 (PI)))))
(* -1 (* x (+ (* -1/2 (/ (PI) x)) (* 1/2 (/ 1 y)))))
(cos (+ (* -1/2 (/ x y)) (* 2 (PI))))
(/ 1 (cos (+ (* -1/2 (/ x y)) (* 2 (PI)))))
(* -1 (* x (+ (* -2 (/ (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)))))
(* -1 (* x (+ (* -1 (/ (PI) x)) (* 1/2 (/ 1 y)))))
(/ (+ (* -1/2 x) (* 1/2 (* y (PI)))) y)
(/ (+ (* -1/2 x) (* 2 (* y (PI)))) y)
(/ (+ (* -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))
(/ (+ (* -1/2 x) (* y (PI))) y)
(+ (sin (* 1/2 (PI))) (+ (* -1/2 (/ (* x (cos (* 1/2 (PI)))) y)) (* -1/8 (/ (* (pow x 2) (sin (* 1/2 (PI)))) (pow y 2)))))
(+ (sin (* 1/2 (PI))) (+ (* -1/2 (/ (* x (cos (* 1/2 (PI)))) y)) (+ (* -1/8 (/ (* (pow x 2) (sin (* 1/2 (PI)))) (pow y 2))) (* 1/48 (/ (* (pow x 3) (cos (* 1/2 (PI)))) (pow y 3))))))
(- (+ 1 (* 2 (/ (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3))) (* x (pow y 2))))) (* -1/24 (/ (pow x 2) (pow y 2))))
(- (+ 1 (+ (* 2 (/ (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3))) (* x (pow y 2)))) (* 2 (/ (- (* 1/3840 (pow x 5)) (+ (* -1/8 (* (pow x 2) (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3))))) (* 1/768 (pow x 5)))) (* x (pow y 4)))))) (+ (* -1/24 (/ (* (pow x 2) (- (* 2 (/ (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3))) x)) (* -1/24 (pow x 2)))) (pow y 4))) (+ (* -1/24 (/ (pow x 2) (pow y 2))) (* 1/1920 (/ (pow x 4) (pow y 4))))))
(- (+ 1 (+ (* 2 (/ (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3))) (* x (pow y 2)))) (+ (* 2 (/ (- (* -1/645120 (pow x 7)) (+ (* -1/8 (* (pow x 2) (- (* 1/3840 (pow x 5)) (+ (* -1/8 (* (pow x 2) (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3))))) (* 1/768 (pow x 5)))))) (+ (* -1/92160 (pow x 7)) (* 1/384 (* (pow x 4) (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3)))))))) (* x (pow y 6)))) (* 2 (/ (- (* 1/3840 (pow x 5)) (+ (* -1/8 (* (pow x 2) (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3))))) (* 1/768 (pow x 5)))) (* x (pow y 4))))))) (+ (* -1/24 (/ (* (pow x 2) (- (* 2 (/ (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3))) x)) (* -1/24 (pow x 2)))) (pow y 4))) (+ (* -1/24 (/ (* (pow x 2) (- (* 2 (/ (- (* 1/3840 (pow x 5)) (+ (* -1/8 (* (pow x 2) (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3))))) (* 1/768 (pow x 5)))) x)) (+ (* -1/24 (* (pow x 2) (- (* 2 (/ (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3))) x)) (* -1/24 (pow x 2))))) (* 1/1920 (pow x 4))))) (pow y 6))) (+ (* -1/24 (/ (pow x 2) (pow y 2))) (+ (* -1/322560 (/ (pow x 6) (pow y 6))) (+ (* 1/1920 (/ (* (pow x 4) (- (* 2 (/ (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3))) x)) (* -1/24 (pow x 2)))) (pow y 6))) (* 1/1920 (/ (pow x 4) (pow y 4)))))))))
(- (+ (* -1 (/ (+ (* -1/4 (/ (* (pow x 2) (pow (cos (* 1/2 (PI))) 2)) (pow (sin (* 1/2 (PI))) 3))) (* -1/8 (/ (pow x 2) (sin (* 1/2 (PI)))))) (pow y 2))) (/ 1 (sin (* 1/2 (PI))))) (* -1/2 (/ (* x (cos (* 1/2 (PI)))) (* y (pow (sin (* 1/2 (PI))) 2)))))
(- (+ (* -1 (/ (+ (* -1/16 (/ (* (pow x 3) (cos (* 1/2 (PI)))) (pow (sin (* 1/2 (PI))) 2))) (+ (* 1/48 (/ (* (pow x 3) (cos (* 1/2 (PI)))) (pow (sin (* 1/2 (PI))) 2))) (* 1/2 (/ (* x (* (cos (* 1/2 (PI))) (+ (* -1/4 (/ (* (pow x 2) (pow (cos (* 1/2 (PI))) 2)) (pow (sin (* 1/2 (PI))) 3))) (* -1/8 (/ (pow x 2) (sin (* 1/2 (PI)))))))) (sin (* 1/2 (PI))))))) (pow y 3))) (/ 1 (sin (* 1/2 (PI))))) (+ (* -1/2 (/ (* x (cos (* 1/2 (PI)))) (* y (pow (sin (* 1/2 (PI))) 2)))) (+ (* -1/4 (/ (* (pow x 2) (pow (cos (* 1/2 (PI))) 2)) (* (pow y 2) (pow (sin (* 1/2 (PI))) 3)))) (* -1/8 (/ (pow x 2) (* (pow y 2) (sin (* 1/2 (PI)))))))))
(- (+ (cos (* 2 (PI))) (* -1/8 (/ (* (pow x 2) (cos (* 2 (PI)))) (pow y 2)))) (* -1/2 (/ (* x (sin (* 2 (PI)))) y)))
(- (+ (cos (* 2 (PI))) (+ (* -1/8 (/ (* (pow x 2) (cos (* 2 (PI)))) (pow y 2))) (* -1/48 (/ (* (pow x 3) (sin (* 2 (PI)))) (pow y 3))))) (* -1/2 (/ (* x (sin (* 2 (PI)))) y)))
(- (+ (* -1 (/ (+ (* -1/4 (/ (* (pow x 2) (pow (sin (* 2 (PI))) 2)) (pow (cos (* 2 (PI))) 3))) (* -1/8 (/ (pow x 2) (cos (* 2 (PI)))))) (pow y 2))) (/ 1 (cos (* 2 (PI))))) (* 1/2 (/ (* x (sin (* 2 (PI)))) (* y (pow (cos (* 2 (PI))) 2)))))
(- (+ (* -1 (/ (+ (* -1/2 (/ (* x (* (sin (* 2 (PI))) (+ (* -1/4 (/ (* (pow x 2) (pow (sin (* 2 (PI))) 2)) (pow (cos (* 2 (PI))) 3))) (* -1/8 (/ (pow x 2) (cos (* 2 (PI)))))))) (cos (* 2 (PI))))) (+ (* -1/48 (/ (* (pow x 3) (sin (* 2 (PI)))) (pow (cos (* 2 (PI))) 2))) (* 1/16 (/ (* (pow x 3) (sin (* 2 (PI)))) (pow (cos (* 2 (PI))) 2))))) (pow y 3))) (/ 1 (cos (* 2 (PI))))) (+ (* -1/4 (/ (* (pow x 2) (pow (sin (* 2 (PI))) 2)) (* (pow y 2) (pow (cos (* 2 (PI))) 3)))) (+ (* -1/8 (/ (pow x 2) (* (pow y 2) (cos (* 2 (PI)))))) (* 1/2 (/ (* x (sin (* 2 (PI)))) (* y (pow (cos (* 2 (PI))) 2)))))))
(/ (+ (* -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) (* 1/24 (/ (pow x 3) (pow y 2)))) (* 1/12 (/ (pow x 3) (pow y 2)))) y)
(/ (- (+ (* -1/2 x) (+ (* -1/720 (/ (pow x 5) (pow y 4))) (* 1/24 (/ (pow x 3) (pow y 2))))) (+ (* -1/6 (/ (* (pow x 2) (- (* 1/24 (pow x 3)) (* 1/12 (pow x 3)))) (pow y 4))) (+ (* -1/240 (/ (pow x 5) (pow y 4))) (* 1/12 (/ (pow x 3) (pow y 2)))))) y)
(/ (- (+ (* -1/2 x) (+ (* -1/720 (/ (pow x 5) (pow y 4))) (+ (* 1/40320 (/ (pow x 7) (pow y 6))) (* 1/24 (/ (pow x 3) (pow y 2)))))) (+ (* -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))) (+ (* -1/6 (/ (* (pow x 2) (- (* 1/24 (pow x 3)) (* 1/12 (pow x 3)))) (pow y 4))) (+ (* -1/240 (/ (pow x 5) (pow y 4))) (+ (* 1/10080 (/ (pow x 7) (pow y 6))) (+ (* 1/120 (/ (* (pow x 4) (- (* 1/24 (pow x 3)) (* 1/12 (pow x 3)))) (pow y 6))) (* 1/12 (/ (pow x 3) (pow y 2))))))))) y)
(- (* 1/12 (/ (pow x 2) (pow y 2))) (+ 1 (* 2 (/ (+ (* 1/48 (pow x 4)) (* 1/12 (pow x 4))) (* (pow x 2) (pow y 2))))))
(- (+ (* -1/360 (/ (pow x 4) (pow y 4))) (* 1/12 (/ (pow x 2) (pow y 2)))) (+ 1 (+ (* -2 (/ (* (+ (* 1/48 (pow x 4)) (* 1/12 (pow x 4))) (- (* 1/12 (pow x 2)) (* 2 (/ (+ (* 1/48 (pow x 4)) (* 1/12 (pow x 4))) (pow x 2))))) (* (pow x 2) (pow y 4)))) (+ (* 2 (/ (+ (* -1/240 (pow x 6)) (+ (* -1/288 (pow x 6)) (* -1/3840 (pow x 6)))) (* (pow x 2) (pow y 4)))) (* 2 (/ (+ (* 1/48 (pow x 4)) (* 1/12 (pow x 4))) (* (pow x 2) (pow y 2))))))))
(- (+ (* -1/360 (/ (pow x 4) (pow y 4))) (+ (* 1/20160 (/ (pow x 6) (pow y 6))) (* 1/12 (/ (pow x 2) (pow y 2))))) (+ 1 (+ (* -2 (/ (* (+ (* -1/240 (pow x 6)) (+ (* -1/288 (pow x 6)) (* -1/3840 (pow x 6)))) (- (* 1/12 (pow x 2)) (* 2 (/ (+ (* 1/48 (pow x 4)) (* 1/12 (pow x 4))) (pow x 2))))) (* (pow x 2) (pow y 6)))) (+ (* -2 (/ (* (+ (* 1/48 (pow x 4)) (* 1/12 (pow x 4))) (- (* -1/360 (pow x 4)) (+ (* -2 (/ (* (+ (* 1/48 (pow x 4)) (* 1/12 (pow x 4))) (- (* 1/12 (pow x 2)) (* 2 (/ (+ (* 1/48 (pow x 4)) (* 1/12 (pow x 4))) (pow x 2))))) (pow x 2))) (* 2 (/ (+ (* -1/240 (pow x 6)) (+ (* -1/288 (pow x 6)) (* -1/3840 (pow x 6)))) (pow x 2)))))) (* (pow x 2) (pow y 6)))) (+ (* -2 (/ (* (+ (* 1/48 (pow x 4)) (* 1/12 (pow x 4))) (- (* 1/12 (pow x 2)) (* 2 (/ (+ (* 1/48 (pow x 4)) (* 1/12 (pow x 4))) (pow x 2))))) (* (pow x 2) (pow y 4)))) (+ (* 2 (/ (+ (* -1/240 (pow x 6)) (+ (* -1/288 (pow x 6)) (* -1/3840 (pow x 6)))) (* (pow x 2) (pow y 4)))) (+ (* 2 (/ (+ (* 1/645120 (pow x 8)) (+ (* 1/23040 (pow x 8)) (+ (* 1/10080 (pow x 8)) (* 1/5760 (pow x 8))))) (* (pow x 2) (pow y 6)))) (* 2 (/ (+ (* 1/48 (pow x 4)) (* 1/12 (pow x 4))) (* (pow x 2) (pow y 2)))))))))))
(/ (- (* -1/24 (/ (pow x 4) (pow y 2))) (* -1/2 (pow x 2))) (pow y 2))
(/ (- (* 1/720 (/ (pow x 6) (pow y 4))) (+ (* -1/2 (pow x 2)) (* 1/24 (/ (pow x 4) (pow y 2))))) (pow y 2))
(/ (- (* -1/40320 (/ (pow x 8) (pow y 6))) (+ (* -1/2 (pow x 2)) (+ (* -1/720 (/ (pow x 6) (pow y 4))) (* 1/24 (/ (pow x 4) (pow y 2)))))) (pow y 2))
(+ 1 (+ (* -1/2 (/ (pow x 2) (pow y 2))) (* 1/24 (/ (pow x 4) (pow y 4)))))
(+ 1 (+ (* -1/2 (/ (pow x 2) (pow y 2))) (+ (* -1/720 (/ (pow x 6) (pow y 6))) (* 1/24 (/ (pow x 4) (pow y 4))))))
(/ (+ (* -1/48 (/ (pow x 3) (pow y 2))) (+ (* 1/3840 (/ (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 x) (* 1/6 (/ (pow x 3) (pow y 2)))) y)
(/ (+ (* -1 x) (+ (* -1/120 (/ (pow x 5) (pow y 4))) (* 1/6 (/ (pow x 3) (pow y 2))))) y)
(/ (+ (* -1 x) (+ (* -1/120 (/ (pow x 5) (pow y 4))) (+ (* 1/5040 (/ (pow x 7) (pow y 6))) (* 1/6 (/ (pow x 3) (pow y 2)))))) y)
(+ (sin (* 1/2 (PI))) (* -1 (/ (+ (* 1/8 (/ (* (pow x 2) (sin (* 1/2 (PI)))) y)) (* 1/2 (* x (cos (* 1/2 (PI)))))) y)))
(+ (sin (* 1/2 (PI))) (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (* (pow x 2) (sin (* 1/2 (PI))))) (* 1/48 (/ (* (pow x 3) (cos (* 1/2 (PI)))) y))) y)) (* 1/2 (* x (cos (* 1/2 (PI)))))) y)))
(- (+ 1 (* -2 (/ (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3))) (* x (pow y 2))))) (* -1/24 (/ (pow x 2) (pow y 2))))
(- (+ 1 (+ (* -2 (/ (- (* -1/3840 (pow x 5)) (+ (* -1/8 (* (pow x 2) (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3))))) (* -1/768 (pow x 5)))) (* x (pow y 4)))) (* -2 (/ (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3))) (* x (pow y 2)))))) (+ (* -1/24 (/ (* (pow x 2) (- (* -2 (/ (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3))) x)) (* -1/24 (pow x 2)))) (pow y 4))) (+ (* -1/24 (/ (pow x 2) (pow y 2))) (* 1/1920 (/ (pow x 4) (pow y 4))))))
(- (+ 1 (+ (* -2 (/ (- (* -1/3840 (pow x 5)) (+ (* -1/8 (* (pow x 2) (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3))))) (* -1/768 (pow x 5)))) (* x (pow y 4)))) (+ (* -2 (/ (- (* 1/645120 (pow x 7)) (+ (* -1/8 (* (pow x 2) (- (* -1/3840 (pow x 5)) (+ (* -1/8 (* (pow x 2) (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3))))) (* -1/768 (pow x 5)))))) (+ (* 1/92160 (pow x 7)) (* 1/384 (* (pow x 4) (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3)))))))) (* x (pow y 6)))) (* -2 (/ (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3))) (* x (pow y 2))))))) (+ (* -1/24 (/ (* (pow x 2) (- (* -2 (/ (- (* -1/3840 (pow x 5)) (+ (* -1/8 (* (pow x 2) (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3))))) (* -1/768 (pow x 5)))) x)) (+ (* -1/24 (* (pow x 2) (- (* -2 (/ (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3))) x)) (* -1/24 (pow x 2))))) (* 1/1920 (pow x 4))))) (pow y 6))) (+ (* -1/24 (/ (* (pow x 2) (- (* -2 (/ (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3))) x)) (* -1/24 (pow x 2)))) (pow y 4))) (+ (* -1/24 (/ (pow x 2) (pow y 2))) (+ (* -1/322560 (/ (pow x 6) (pow y 6))) (+ (* 1/1920 (/ (* (pow x 4) (- (* -2 (/ (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3))) x)) (* -1/24 (pow x 2)))) (pow y 6))) (* 1/1920 (/ (pow x 4) (pow y 4)))))))))
(+ (* -1 (/ (- (+ (* -1/4 (/ (* (pow x 2) (pow (cos (* 1/2 (PI))) 2)) (* y (pow (sin (* 1/2 (PI))) 3)))) (* -1/8 (/ (pow x 2) (* y (sin (* 1/2 (PI))))))) (* 1/2 (/ (* x (cos (* 1/2 (PI)))) (pow (sin (* 1/2 (PI))) 2)))) y)) (/ 1 (sin (* 1/2 (PI)))))
(+ (* -1 (/ (- (* -1 (/ (- (+ (* -1/2 (/ (* x (* (cos (* 1/2 (PI))) (+ (* -1/4 (/ (* (pow x 2) (pow (cos (* 1/2 (PI))) 2)) (pow (sin (* 1/2 (PI))) 3))) (* -1/8 (/ (pow x 2) (sin (* 1/2 (PI)))))))) (* y (sin (* 1/2 (PI)))))) (+ (* -1/48 (/ (* (pow x 3) (cos (* 1/2 (PI)))) (* y (pow (sin (* 1/2 (PI))) 2)))) (* 1/16 (/ (* (pow x 3) (cos (* 1/2 (PI)))) (* y (pow (sin (* 1/2 (PI))) 2)))))) (+ (* -1/4 (/ (* (pow x 2) (pow (cos (* 1/2 (PI))) 2)) (pow (sin (* 1/2 (PI))) 3))) (* -1/8 (/ (pow x 2) (sin (* 1/2 (PI))))))) y)) (* 1/2 (/ (* x (cos (* 1/2 (PI)))) (pow (sin (* 1/2 (PI))) 2)))) y)) (/ 1 (sin (* 1/2 (PI)))))
(+ (cos (* 2 (PI))) (* -1 (/ (- (* 1/8 (/ (* (pow x 2) (cos (* 2 (PI)))) y)) (* 1/2 (* x (sin (* 2 (PI)))))) y)))
(+ (cos (* 2 (PI))) (* -1 (/ (- (* -1 (/ (+ (* -1/8 (* (pow x 2) (cos (* 2 (PI))))) (* -1/48 (/ (* (pow x 3) (sin (* 2 (PI)))) y))) y)) (* 1/2 (* x (sin (* 2 (PI)))))) y)))
(+ (* -1 (/ (- (+ (* -1/4 (/ (* (pow x 2) (pow (sin (* 2 (PI))) 2)) (* y (pow (cos (* 2 (PI))) 3)))) (* -1/8 (/ (pow x 2) (* y (cos (* 2 (PI))))))) (* -1/2 (/ (* x (sin (* 2 (PI)))) (pow (cos (* 2 (PI))) 2)))) y)) (/ 1 (cos (* 2 (PI)))))
(+ (* -1 (/ (- (* -1 (/ (- (+ (* -1/16 (/ (* (pow x 3) (sin (* 2 (PI)))) (* y (pow (cos (* 2 (PI))) 2)))) (+ (* 1/48 (/ (* (pow x 3) (sin (* 2 (PI)))) (* y (pow (cos (* 2 (PI))) 2)))) (* 1/2 (/ (* x (* (sin (* 2 (PI))) (+ (* -1/4 (/ (* (pow x 2) (pow (sin (* 2 (PI))) 2)) (pow (cos (* 2 (PI))) 3))) (* -1/8 (/ (pow x 2) (cos (* 2 (PI)))))))) (* y (cos (* 2 (PI)))))))) (+ (* -1/4 (/ (* (pow x 2) (pow (sin (* 2 (PI))) 2)) (pow (cos (* 2 (PI))) 3))) (* -1/8 (/ (pow x 2) (cos (* 2 (PI))))))) y)) (* -1/2 (/ (* x (sin (* 2 (PI)))) (pow (cos (* 2 (PI))) 2)))) y)) (/ 1 (cos (* 2 (PI)))))
(* -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))
(* -1 (/ (+ (* -1/2 x) (* -1/24 (/ (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) (+ (* -1/3840 (/ (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
21.0ms	y	@	inf	((sin (+ (* -1/2 (/ x y)) (/ (PI) 2))) (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/ 1 (sin (+ (* -1/2 (/ x y)) (/ (PI) 2)))) (+ (* -1/2 (/ x y)) (/ (PI) 2)) (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (cos (+ (+ (* -1/2 (/ x y)) (PI)) (PI))) (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/ 1 (cos (+ (+ (* -1/2 (/ x y)) (PI)) (PI)))) (+ (+ (* -1/2 (/ x y)) (PI)) (PI)) (* (/ (+ (* (/ (* 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)) (/ (- 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)) (+ (* -1/2 (/ x y)) (PI)) (sin (/ x (* y 2))) (/ (* x x) y) (sin (/ (neg x) y)) (sin (/ x (* y 2))))
14.0ms	x	@	0	((sin (+ (* -1/2 (/ x y)) (/ (PI) 2))) (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/ 1 (sin (+ (* -1/2 (/ x y)) (/ (PI) 2)))) (+ (* -1/2 (/ x y)) (/ (PI) 2)) (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (cos (+ (+ (* -1/2 (/ x y)) (PI)) (PI))) (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/ 1 (cos (+ (+ (* -1/2 (/ x y)) (PI)) (PI)))) (+ (+ (* -1/2 (/ x y)) (PI)) (PI)) (* (/ (+ (* (/ (* 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)) (/ (- 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)) (+ (* -1/2 (/ x y)) (PI)) (sin (/ x (* y 2))) (/ (* x x) y) (sin (/ (neg x) y)) (sin (/ x (* y 2))))
11.0ms	x	@	inf	((sin (+ (* -1/2 (/ x y)) (/ (PI) 2))) (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/ 1 (sin (+ (* -1/2 (/ x y)) (/ (PI) 2)))) (+ (* -1/2 (/ x y)) (/ (PI) 2)) (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (cos (+ (+ (* -1/2 (/ x y)) (PI)) (PI))) (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/ 1 (cos (+ (+ (* -1/2 (/ x y)) (PI)) (PI)))) (+ (+ (* -1/2 (/ x y)) (PI)) (PI)) (* (/ (+ (* (/ (* 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)) (/ (- 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)) (+ (* -1/2 (/ x y)) (PI)) (sin (/ x (* y 2))) (/ (* x x) y) (sin (/ (neg x) y)) (sin (/ x (* y 2))))
8.0ms	y	@	-inf	((sin (+ (* -1/2 (/ x y)) (/ (PI) 2))) (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/ 1 (sin (+ (* -1/2 (/ x y)) (/ (PI) 2)))) (+ (* -1/2 (/ x y)) (/ (PI) 2)) (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (cos (+ (+ (* -1/2 (/ x y)) (PI)) (PI))) (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/ 1 (cos (+ (+ (* -1/2 (/ x y)) (PI)) (PI)))) (+ (+ (* -1/2 (/ x y)) (PI)) (PI)) (* (/ (+ (* (/ (* 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)) (/ (- 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)) (+ (* -1/2 (/ x y)) (PI)) (sin (/ x (* y 2))) (/ (* x x) y) (sin (/ (neg x) y)) (sin (/ x (* y 2))))
5.0ms	x	@	-inf	((sin (+ (* -1/2 (/ x y)) (/ (PI) 2))) (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/ 1 (sin (+ (* -1/2 (/ x y)) (/ (PI) 2)))) (+ (* -1/2 (/ x y)) (/ (PI) 2)) (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (cos (+ (+ (* -1/2 (/ x y)) (PI)) (PI))) (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/ 1 (cos (+ (+ (* -1/2 (/ x y)) (PI)) (PI)))) (+ (+ (* -1/2 (/ x y)) (PI)) (PI)) (* (/ (+ (* (/ (* 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)) (/ (- 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)) (+ (* -1/2 (/ x y)) (PI)) (sin (/ x (* y 2))) (/ (* x x) y) (sin (/ (neg x) y)) (sin (/ x (* y 2))))

simplify215.0ms (2.2%)

Memory

-10.6MiB live, 326.7MiB allocated; 75ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	998	5161
1	3256	4842
0	8255	4605

Stop Event

1×	iter limit
1×	node limit

Counts

142 → 142

Calls

Call 1

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

rewrite259.0ms (2.7%)

Memory

-1.6MiB live, 279.6MiB allocated; 83ms collecting garbage

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	49	291
0	84	275
1	291	265
2	1995	265
0	9092	265

Stop Event

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

Counts

22 → 450

Calls

Call 1

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

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

eval107.0ms (1.1%)

Memory: 2.6MiB live, 194.6MiB allocated; 30ms collecting garbage
Compiler: Compiled 24 201 to 3 206 computations (86.8% saved)

prune93.0ms (1%)

Memory

-17.8MiB live, 235.2MiB allocated; 26ms collecting garbage

Pruning

46 alts after pruning (40 fresh and 6 done)

	Pruned	Kept	Total
New	532	29	561
Fresh	6	11	17
Picked	2	3	5
Done	0	3	3
Total	540	46	586

Accuracy

59.7%

Counts

586 → 46

Alt Table

Click to see full alt table

Status	Accuracy	Program
	4.5%	(/.f64 (/.f64 (-.f64 (pow.f64 (sin.f64 (/.f64 (neg.f64 x) y)) #s(literal -3 binary64)) (pow.f64 (/.f64 (cos.f64 (/.f64 x y)) (sin.f64 (/.f64 (neg.f64 x) y))) #s(literal 3 binary64))) (+.f64 (pow.f64 (sin.f64 (/.f64 (neg.f64 x) y)) #s(literal -2 binary64)) (+.f64 (pow.f64 (/.f64 (cos.f64 (/.f64 x y)) (sin.f64 (/.f64 (neg.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))))))) (sin.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))))
	4.4%	(/.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)))))
▶	4.5%	(/.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)))))
	4.3%	(/.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)))))
✓	4.8%	(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x y))) (sin.f64 (/.f64 (neg.f64 x) y))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
	5.7%	(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x y))) (sin.f64 (+.f64 (/.f64 x y) (PI.f64)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
	5.3%	(/.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)))))
	4.8%	(/.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)))))
	1.9%	(/.f64 (tan.f64 (/.f64 (/.f64 x y) #s(literal -2 binary64))) (sin.f64 (/.f64 x (/.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)))))))
	5.3%	(/.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))))
✓	41.6%	(/.f64 (tan.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))))
	41.4%	(/.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))))
	4.3%	(/.f64 (tan.f64 (/.f64 x (.f64 #s(literal -2 binary64) y))) (sin.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))))
▶	36.3%	(/.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))) (fma.f64 (.f64 (/.f64 #s(literal -1/48 binary64) y) (pow.f64 (/.f64 x y) #s(literal 2 binary64))) x (.f64 (/.f64 #s(literal 1/2 binary64) y) x))))
	36.2%	(/.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)))
	2.1%	(/.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)))))
	41.0%	(/.f64 #s(approx (tan (/ x (* y 2))) (/.f64 (sin.f64 (.f64 (/.f64 #s(literal 1/2 binary64) y) x)) (cos.f64 (.f64 (/.f64 #s(literal 1/2 binary64) y) x)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
	2.7%	(/.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)))
	4.4%	(-.f64 (pow.f64 (.f64 (sin.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64))) (sin.f64 (/.f64 (neg.f64 x) y))) #s(literal -1 binary64)) (/.f64 (cos.f64 (/.f64 x y)) (.f64 (sin.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64))) (sin.f64 (/.f64 (neg.f64 x) y)))))
	4.4%	(-.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)))))
▶	7.3%	#s(approx (/ (/ (- 1 (cos (/ x y))) (sin (/ (neg x) y))) (sin (/ x (* y 2)))) #s(literal -1 binary64))
✓	42.3%	#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)))
	47.9%	#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (pow.f64 (pow.f64 (neg.f64 (cos.f64 (fma.f64 (/.f64 x y) #s(literal -1/2 binary64) (PI.f64)))) #s(literal -1/2 binary64)) #s(literal 2 binary64)))
	52.2%	#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 (fma.f64 #s(literal 2 binary64) (PI.f64) (/.f64 (PI.f64) #s(literal 2 binary64)))) (.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (/.f64 x y) #s(literal -1/2 binary64)))))))
	51.3%	#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 (fma.f64 (/.f64 x y) #s(literal -1/2 binary64) (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)))))))
	52.2%	#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (-.f64 (cos.f64 (-.f64 (fma.f64 (/.f64 x y) #s(literal -1/2 binary64) (/.f64 (PI.f64) #s(literal 2 binary64))) (/.f64 (PI.f64) #s(literal 2 binary64)))) (cos.f64 (fma.f64 (/.f64 x y) #s(literal -1/2 binary64) (PI.f64)))) #s(literal 2 binary64) (.f64 #s(literal 2 binary64) (+.f64 (sin.f64 (-.f64 (.f64 (/.f64 x y) #s(literal -1/2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64)))) (cos.f64 (*.f64 (/.f64 x y) #s(literal -1/2 binary64)))))) #s(literal 4 binary64))))
	50.7%	#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (pow.f64 (.f64 #s(literal 0 binary64) (sin.f64 (.f64 (/.f64 x y) #s(literal -1/2 binary64)))) #s(literal 2 binary64)) (pow.f64 (.f64 #s(literal 1 binary64) (cos.f64 (.f64 (/.f64 x y) #s(literal -1/2 binary64)))) #s(literal 2 binary64))) (sin.f64 (-.f64 (*.f64 (/.f64 x y) #s(literal -1/2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64)))))))
	52.2%	#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 #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))) (sin.f64 (neg.f64 (.f64 #s(literal 2 binary64) (PI.f64))))))))
	52.3%	#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (sin.f64 (fma.f64 (/.f64 x y) #s(literal -1/2 binary64) (fma.f64 #s(literal 2 binary64) (PI.f64) (/.f64 (PI.f64) #s(literal 2 binary64)))))))
	51.5%	#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))))))
	51.2%	#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (sin.f64 (+.f64 (neg.f64 (*.f64 (/.f64 x y) #s(literal -1/2 binary64))) (/.f64 (PI.f64) #s(literal 2 binary64))))))
▶	51.1%	#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))))))
	52.1%	#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (sin.f64 (neg.f64 (+.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) y) x (/.f64 (PI.f64) #s(literal 2 binary64))) (PI.f64))))))
▶	52.3%	#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (sin.f64 #s(approx (+ (* -1/2 (/ x y)) (/ (PI) 2)) (/.f64 (.f64 #s(literal -1/2 binary64) (-.f64 x (.f64 (PI.f64) y))) y)))))
	52.3%	#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (sin.f64 #s(approx (+ (* -1/2 (/ x y)) (/ (PI) 2)) (*.f64 #s(literal -1/2 binary64) (-.f64 (/.f64 x y) (PI.f64)))))))
	6.8%	#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 (-.f64 (pow.f64 (fma.f64 (/.f64 x y) #s(literal -1/2 binary64) (PI.f64)) #s(literal 2 binary64)) (*.f64 (PI.f64) (PI.f64))) (-.f64 (fma.f64 (/.f64 x y) #s(literal -1/2 binary64) (PI.f64)) (PI.f64))))))
	52.2%	#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))))
	51.9%	#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) y) x (PI.f64)) (PI.f64)))))
✓	52.2%	#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)))))
	52.2%	#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) (fma.f64 #s(literal 2 binary64) (PI.f64) (/.f64 (PI.f64) #s(literal 2 binary64)))) (/.f64 (PI.f64) #s(literal 2 binary64))) (PI.f64)))))
	52.2%	#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 (+.f64 (+.f64 (fma.f64 (/.f64 x y) #s(literal -1/2 binary64) (PI.f64)) (PI.f64)) (PI.f64)) (PI.f64)))))
✓	52.0%	#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))))
	47.2%	#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)))))
	51.3%	#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)))))
	47.9%	#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (exp.f64 (*.f64 (log.f64 (neg.f64 (cos.f64 (fma.f64 (/.f64 x y) #s(literal -1/2 binary64) (PI.f64))))) #s(literal -1 binary64))))
✓	51.0%	#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(literal 1 binary64))

Compiler

Compiled 2 648 to 1 682 computations (36.5% saved)

simplify122.0ms (1.3%)

Memory

21.9MiB live, 211.7MiB allocated; 17ms collecting garbage

Localize:

Found 17 expressions of interest:

New	Metric	Score
cost-diff	0	(-.f64 #s(literal 1 binary64) (sin.f64 (+.f64 (/.f64 (neg.f64 x) y) (/.f64 (PI.f64) #s(literal 2 binary64)))))
cost-diff	0	(/.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)))))
cost-diff	5	(sin.f64 (+.f64 (/.f64 (neg.f64 x) y) (/.f64 (PI.f64) #s(literal 2 binary64))))
cost-diff	6	(/.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)))
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))) (fma.f64 (.f64 (/.f64 #s(literal -1/48 binary64) y) (pow.f64 (/.f64 x y) #s(literal 2 binary64))) x (.f64 (/.f64 #s(literal 1/2 binary64) y) x))))
cost-diff	4	(fma.f64 (.f64 (/.f64 #s(literal -1/48 binary64) y) (pow.f64 (/.f64 x y) #s(literal 2 binary64))) x (.f64 (/.f64 #s(literal 1/2 binary64) y) x))
cost-diff	0	(/.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)))))
cost-diff	0	#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))))))
cost-diff	1	(neg.f64 (+.f64 (fma.f64 (/.f64 x y) #s(literal -1/2 binary64) (/.f64 (PI.f64) #s(literal 2 binary64))) (PI.f64)))
cost-diff	5	(sin.f64 (neg.f64 (+.f64 (fma.f64 (/.f64 x y) #s(literal -1/2 binary64) (/.f64 (PI.f64) #s(literal 2 binary64))) (PI.f64))))
cost-diff	0	#s(approx (/ (/ (- 1 (cos (/ x y))) (sin (/ (neg x) y))) (sin (/ x (* y 2)))) #s(literal -1 binary64))
cost-diff	0	(sin.f64 #s(approx (+ (* -1/2 (/ x y)) (/ (PI) 2)) (/.f64 (.f64 #s(literal -1/2 binary64) (-.f64 x (.f64 (PI.f64) y))) y)))
cost-diff	0	(/.f64 #s(literal 1 binary64) (sin.f64 #s(approx (+ (* -1/2 (/ x y)) (/ (PI) 2)) (/.f64 (.f64 #s(literal -1/2 binary64) (-.f64 x (.f64 (PI.f64) y))) y))))
cost-diff	0	#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (sin.f64 #s(approx (+ (* -1/2 (/ x y)) (/ (PI) 2)) (/.f64 (.f64 #s(literal -1/2 binary64) (-.f64 x (.f64 (PI.f64) y))) y)))))
cost-diff	2	(/.f64 (.f64 #s(literal -1/2 binary64) (-.f64 x (.f64 (PI.f64) y))) y)

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	68	503
0	109	476
1	180	452
2	348	437
3	942	434
4	3114	424
5	6706	424
0	8163	420

Stop Event

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

Calls

Call 1

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

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

localize915.0ms (9.5%)

Memory

-10.1MiB live, 1 049.8MiB allocated; 190ms collecting garbage

Localize:

Found 17 expressions of interest:

New	Metric	Score
accuracy	14.839204592215381	(/.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)))
accuracy	30.390325742935644	(sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))
accuracy	30.715970627211824	(sin.f64 (/.f64 (neg.f64 x) y))
accuracy	31.100943500007457	(sin.f64 (+.f64 (/.f64 (neg.f64 x) y) (/.f64 (PI.f64) #s(literal 2 binary64))))
accuracy	6.703199278372283	(/.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))) (fma.f64 (.f64 (/.f64 #s(literal -1/48 binary64) y) (pow.f64 (/.f64 x y) #s(literal 2 binary64))) x (.f64 (/.f64 #s(literal 1/2 binary64) y) x))))
accuracy	8.54581960699615	(fma.f64 (.f64 (/.f64 #s(literal -1/48 binary64) y) (pow.f64 (/.f64 x y) #s(literal 2 binary64))) x (.f64 (/.f64 #s(literal 1/2 binary64) y) x))
accuracy	34.21927074683408	#s(approx (sin (/ x (* y 2))) (fma.f64 (.f64 (/.f64 #s(literal -1/48 binary64) y) (pow.f64 (/.f64 x y) #s(literal 2 binary64))) x (.f64 (/.f64 #s(literal 1/2 binary64) y) x)))
accuracy	34.24946517993987	#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	0.0078125	(+.f64 (fma.f64 (/.f64 x y) #s(literal -1/2 binary64) (/.f64 (PI.f64) #s(literal 2 binary64))) (PI.f64))
accuracy	0.01953125	(fma.f64 (/.f64 x y) #s(literal -1/2 binary64) (/.f64 (PI.f64) #s(literal 2 binary64)))
accuracy	0.1484375	(/.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)))))
accuracy	31.07152108930747	(sin.f64 (neg.f64 (+.f64 (fma.f64 (/.f64 x y) #s(literal -1/2 binary64) (/.f64 (PI.f64) #s(literal 2 binary64))) (PI.f64))))
accuracy	31.3510897493033	#s(approx (/ (/ (- 1 (cos (/ x y))) (sin (/ (neg x) y))) (sin (/ x (* y 2)))) #s(literal -1 binary64))
accuracy	0.1484375	(/.f64 (.f64 #s(literal -1/2 binary64) (-.f64 x (.f64 (PI.f64) y))) y)
accuracy	0.1484375	(/.f64 #s(literal 1 binary64) (sin.f64 #s(approx (+ (* -1/2 (/ x y)) (/ (PI) 2)) (/.f64 (.f64 #s(literal -1/2 binary64) (-.f64 x (.f64 (PI.f64) y))) y))))
accuracy	0.25	(*.f64 (PI.f64) y)
accuracy	30.348427041922807	(sin.f64 #s(approx (+ (* -1/2 (/ x y)) (/ (PI) 2)) (/.f64 (.f64 #s(literal -1/2 binary64) (-.f64 x (.f64 (PI.f64) y))) y)))

Samples

302.0ms	169×	1	valid
245.0ms	46×	2	valid
225.0ms	37×	3	valid
16.0ms	1×	4	valid
2.0ms	3×	0	valid

Compiler

Compiled 382 to 57 computations (85.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 682.0ms

ival-sin: 308.0ms (45.2% of total)

ival-div: 180.0ms (26.4% of total)

adjust: 74.0ms (10.8% of total)

ival-mult: 35.0ms (5.1% of total)

ival-cos: 20.0ms (2.9% of total)

ival-add: 17.0ms (2.5% of total)

const: 11.0ms (1.6% of total)

ival-sub: 10.0ms (1.5% of total)

ival-tan: 8.0ms (1.2% of total)

ival-pow: 6.0ms (0.9% of total)

ival-pow2: 6.0ms (0.9% of total)

ival-neg: 4.0ms (0.6% of total)

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

exact: 1.0ms (0.1% of total)

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

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

series60.0ms (0.6%)

Memory

20.2MiB live, 62.1MiB allocated; 23ms collecting garbage

Counts

23 → 160

Calls

Call 1

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

Outputs
(* 1/2 (PI))
(+ (* -1/2 (/ x y)) (* 1/2 (PI)))
1
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(* (pow y 2) (+ (* -2 (/ (cos (* 1/2 (PI))) (* x y))) (* -2 (/ (- 1 (sin (* 1/2 (PI)))) (pow x 2)))))
(* (pow y 2) (- (+ (* -2 (/ (cos (* 1/2 (PI))) (* x y))) (+ (* -2 (/ (- 1 (sin (* 1/2 (PI)))) (pow x 2))) (* -1 (/ (sin (* 1/2 (PI))) (pow y 2))))) (* 4 (/ (* (+ (* 1/48 (pow x 4)) (* 1/12 (pow x 4))) (- 1 (sin (* 1/2 (PI))))) (* (pow x 4) (pow y 2))))))
(* (pow y 2) (- (+ (* -2 (/ (cos (* 1/2 (PI))) (* x y))) (+ (* -2 (/ (- 1 (sin (* 1/2 (PI)))) (pow x 2))) (+ (* -1 (/ (sin (* 1/2 (PI))) (pow y 2))) (* 1/3 (/ (* x (cos (* 1/2 (PI)))) (pow y 3)))))) (+ (* 4 (/ (* (cos (* 1/2 (PI))) (+ (* 1/48 (pow x 4)) (* 1/12 (pow x 4)))) (* (pow x 3) (pow y 3)))) (* 4 (/ (* (+ (* 1/48 (pow x 4)) (* 1/12 (pow x 4))) (- 1 (sin (* 1/2 (PI))))) (* (pow x 4) (pow y 2)))))))
(- (+ 1 (* 1/2 (/ (* (pow x 2) (sin (* 1/2 (PI)))) (pow y 2)))) (+ (sin (* 1/2 (PI))) (* -1 (/ (* x (cos (* 1/2 (PI)))) y))))
(- (+ 1 (* -1/6 (/ (* (pow x 3) (cos (* 1/2 (PI)))) (pow y 3)))) (+ (sin (* 1/2 (PI))) (+ (* -1 (/ (* x (cos (* 1/2 (PI)))) y)) (* -1/2 (/ (* (pow x 2) (sin (* 1/2 (PI)))) (pow y 2))))))
(/ (+ (* -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 x) (* 1/6 (/ (pow x 3) (pow y 2)))) y)
(/ (+ (* -1 x) (+ (* -1/120 (/ (pow x 5) (pow y 4))) (* 1/6 (/ (pow x 3) (pow y 2))))) y)
(/ (+ (* -1 x) (+ (* -1/120 (/ (pow x 5) (pow y 4))) (+ (* 1/5040 (/ (pow x 7) (pow y 6))) (* 1/6 (/ (pow x 3) (pow y 2)))))) y)
(- (+ 1 (* -2 (/ (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3))) (* x (pow y 2))))) (* -1/24 (/ (pow x 2) (pow y 2))))
(- (+ 1 (+ (* -2 (/ (- (* -1/3840 (pow x 5)) (+ (* -1/8 (* (pow x 2) (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3))))) (* -1/768 (pow x 5)))) (* x (pow y 4)))) (* -2 (/ (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3))) (* x (pow y 2)))))) (+ (* -1/24 (/ (* (pow x 2) (- (* -2 (/ (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3))) x)) (* -1/24 (pow x 2)))) (pow y 4))) (+ (* -1/24 (/ (pow x 2) (pow y 2))) (* 1/1920 (/ (pow x 4) (pow y 4))))))
(- (+ 1 (+ (* -2 (/ (- (* -1/3840 (pow x 5)) (+ (* -1/8 (* (pow x 2) (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3))))) (* -1/768 (pow x 5)))) (* x (pow y 4)))) (+ (* -2 (/ (- (* 1/645120 (pow x 7)) (+ (* -1/8 (* (pow x 2) (- (* -1/3840 (pow x 5)) (+ (* -1/8 (* (pow x 2) (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3))))) (* -1/768 (pow x 5)))))) (+ (* 1/92160 (pow x 7)) (* 1/384 (* (pow x 4) (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3)))))))) (* x (pow y 6)))) (* -2 (/ (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3))) (* x (pow y 2))))))) (+ (* -1/24 (/ (* (pow x 2) (- (* -2 (/ (- (* -1/3840 (pow x 5)) (+ (* -1/8 (* (pow x 2) (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3))))) (* -1/768 (pow x 5)))) x)) (+ (* -1/24 (* (pow x 2) (- (* -2 (/ (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3))) x)) (* -1/24 (pow x 2))))) (* 1/1920 (pow x 4))))) (pow y 6))) (+ (* -1/24 (/ (* (pow x 2) (- (* -2 (/ (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3))) x)) (* -1/24 (pow x 2)))) (pow y 4))) (+ (* -1/24 (/ (pow x 2) (pow y 2))) (+ (* -1/322560 (/ (pow x 6) (pow y 6))) (+ (* 1/1920 (/ (* (pow x 4) (- (* -2 (/ (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3))) x)) (* -1/24 (pow x 2)))) (pow y 6))) (* 1/1920 (/ (pow x 4) (pow y 4)))))))))
(+ (* -1 (/ (- (+ (* -1/4 (/ (* (pow x 2) (pow (cos (* 1/2 (PI))) 2)) (* y (pow (sin (* 1/2 (PI))) 3)))) (* -1/8 (/ (pow x 2) (* y (sin (* 1/2 (PI))))))) (* 1/2 (/ (* x (cos (* 1/2 (PI)))) (pow (sin (* 1/2 (PI))) 2)))) y)) (/ 1 (sin (* 1/2 (PI)))))
(+ (* -1 (/ (- (* -1 (/ (- (+ (* -1/2 (/ (* x (* (cos (* 1/2 (PI))) (+ (* -1/4 (/ (* (pow x 2) (pow (cos (* 1/2 (PI))) 2)) (pow (sin (* 1/2 (PI))) 3))) (* -1/8 (/ (pow x 2) (sin (* 1/2 (PI)))))))) (* y (sin (* 1/2 (PI)))))) (+ (* -1/48 (/ (* (pow x 3) (cos (* 1/2 (PI)))) (* y (pow (sin (* 1/2 (PI))) 2)))) (* 1/16 (/ (* (pow x 3) (cos (* 1/2 (PI)))) (* y (pow (sin (* 1/2 (PI))) 2)))))) (+ (* -1/4 (/ (* (pow x 2) (pow (cos (* 1/2 (PI))) 2)) (pow (sin (* 1/2 (PI))) 3))) (* -1/8 (/ (pow x 2) (sin (* 1/2 (PI))))))) y)) (* 1/2 (/ (* x (cos (* 1/2 (PI)))) (pow (sin (* 1/2 (PI))) 2)))) y)) (/ 1 (sin (* 1/2 (PI)))))
(+ (sin (* 1/2 (PI))) (* -1 (/ (+ (* 1/8 (/ (* (pow x 2) (sin (* 1/2 (PI)))) y)) (* 1/2 (* x (cos (* 1/2 (PI)))))) y)))
(+ (sin (* 1/2 (PI))) (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (* (pow x 2) (sin (* 1/2 (PI))))) (* 1/48 (/ (* (pow x 3) (cos (* 1/2 (PI)))) y))) y)) (* 1/2 (* x (cos (* 1/2 (PI)))))) y)))
(+ (sin (neg (+ (PI) (* 1/2 (PI))))) (* -1 (/ (+ (* -1/2 (* x (cos (neg (+ (PI) (* 1/2 (PI))))))) (* 1/8 (/ (* (pow x 2) (sin (neg (+ (PI) (* 1/2 (PI)))))) y))) y)))
(+ (sin (neg (+ (PI) (* 1/2 (PI))))) (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (* (pow x 2) (sin (neg (+ (PI) (* 1/2 (PI))))))) (* -1/48 (/ (* (pow x 3) (cos (neg (+ (PI) (* 1/2 (PI)))))) y))) y)) (* -1/2 (* x (cos (neg (+ (PI) (* 1/2 (PI)))))))) y)))
(+ (* -1 (/ (- (+ (* -1/4 (/ (* (pow x 2) (pow (cos (neg (+ (PI) (* 1/2 (PI))))) 2)) (* y (pow (sin (neg (+ (PI) (* 1/2 (PI))))) 3)))) (* -1/8 (/ (pow x 2) (* y (sin (neg (+ (PI) (* 1/2 (PI))))))))) (* -1/2 (/ (* x (cos (neg (+ (PI) (* 1/2 (PI)))))) (pow (sin (neg (+ (PI) (* 1/2 (PI))))) 2)))) y)) (/ 1 (sin (neg (+ (PI) (* 1/2 (PI)))))))
(+ (* -1 (/ (- (* -1 (/ (- (+ (* -1/16 (/ (* (pow x 3) (cos (neg (+ (PI) (* 1/2 (PI)))))) (* y (pow (sin (neg (+ (PI) (* 1/2 (PI))))) 2)))) (+ (* 1/48 (/ (* (pow x 3) (cos (neg (+ (PI) (* 1/2 (PI)))))) (* y (pow (sin (neg (+ (PI) (* 1/2 (PI))))) 2)))) (* 1/2 (/ (* x (* (cos (neg (+ (PI) (* 1/2 (PI))))) (+ (* -1/4 (/ (* (pow x 2) (pow (cos (neg (+ (PI) (* 1/2 (PI))))) 2)) (pow (sin (neg (+ (PI) (* 1/2 (PI))))) 3))) (* -1/8 (/ (pow x 2) (sin (neg (+ (PI) (* 1/2 (PI)))))))))) (* y (sin (neg (+ (PI) (* 1/2 (PI)))))))))) (+ (* -1/4 (/ (* (pow x 2) (pow (cos (neg (+ (PI) (* 1/2 (PI))))) 2)) (pow (sin (neg (+ (PI) (* 1/2 (PI))))) 3))) (* -1/8 (/ (pow x 2) (sin (neg (+ (PI) (* 1/2 (PI))))))))) y)) (* -1/2 (/ (* x (cos (neg (+ (PI) (* 1/2 (PI)))))) (pow (sin (neg (+ (PI) (* 1/2 (PI))))) 2)))) y)) (/ 1 (sin (neg (+ (PI) (* 1/2 (PI)))))))
(* -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))
(* -1 (/ (+ (* -1/2 x) (* -1/24 (/ (pow x 3) (pow y 2)))) y))
(* -1 (* y (- (+ (/ 1 x) (/ (cos (* 1/2 (PI))) y)) (/ (sin (* 1/2 (PI))) x))))
(* -1 (* y (- (+ (* -1 (/ (+ (* -1 (cos (* 1/2 (PI)))) (* -1 (/ (- (* 1/2 (* x (sin (* 1/2 (PI))))) (* -1/6 (* x (- 1 (sin (* 1/2 (PI))))))) y))) y)) (/ 1 x)) (/ (sin (* 1/2 (PI))) x))))
(* -1 (* y (- (+ (* -1 (/ (+ (* -1 (cos (* 1/2 (PI)))) (* -1 (/ (- (+ (* -1/24 (/ (* (pow x 3) (sin (* 1/2 (PI)))) (pow y 2))) (* 1/2 (* x (sin (* 1/2 (PI)))))) (+ (* -1/6 (* x (- 1 (sin (* 1/2 (PI)))))) (+ (* -1/6 (/ (* (pow x 2) (- (* 1/2 (* x (sin (* 1/2 (PI))))) (* -1/6 (* x (- 1 (sin (* 1/2 (PI)))))))) (pow y 2))) (* 1/120 (/ (* (pow x 3) (- 1 (sin (* 1/2 (PI))))) (pow y 2)))))) y))) y)) (/ 1 x)) (/ (sin (* 1/2 (PI))) x))))
(+ (sin (* 1/2 (PI))) (* -1 (/ (+ (* 1/2 (/ (* (pow x 2) (sin (* 1/2 (PI)))) y)) (* x (cos (* 1/2 (PI))))) y)))
(+ (sin (* 1/2 (PI))) (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (pow x 2) (sin (* 1/2 (PI))))) (* 1/6 (/ (* (pow x 3) (cos (* 1/2 (PI)))) y))) y)) (* x (cos (* 1/2 (PI))))) y)))
(* (pow y 2) (+ (* -2 (/ (- 1 (sin (* 1/2 (PI)))) (pow x 2))) (* -1 (/ (+ (* -1 (/ (- (* -1 (sin (* 1/2 (PI)))) (* 4 (/ (* (+ (* 1/48 (pow x 4)) (* 1/12 (pow x 4))) (- 1 (sin (* 1/2 (PI))))) (pow x 4)))) y)) (* 2 (/ (cos (* 1/2 (PI))) x))) y))))
(* (pow y 2) (+ (* -2 (/ (- 1 (sin (* 1/2 (PI)))) (pow x 2))) (* -1 (/ (+ (* -1 (/ (- (+ (* -1 (sin (* 1/2 (PI)))) (* -1 (/ (- (* -1/3 (* x (cos (* 1/2 (PI))))) (* -4 (/ (* (cos (* 1/2 (PI))) (+ (* 1/48 (pow x 4)) (* 1/12 (pow x 4)))) (pow x 3)))) y))) (* 4 (/ (* (+ (* 1/48 (pow x 4)) (* 1/12 (pow x 4))) (- 1 (sin (* 1/2 (PI))))) (pow x 4)))) y)) (* 2 (/ (cos (* 1/2 (PI))) x))) y))))
(- (+ 1 (* -1 (/ (- (* -1/2 (/ (* (pow x 2) (sin (* 1/2 (PI)))) y)) (* x (cos (* 1/2 (PI))))) y))) (sin (* 1/2 (PI))))
(- (+ 1 (* -1 (/ (- (* -1 (/ (- (* -1/6 (/ (* (pow x 3) (cos (* 1/2 (PI)))) y)) (* -1/2 (* (pow x 2) (sin (* 1/2 (PI)))))) y)) (* x (cos (* 1/2 (PI))))) y))) (sin (* 1/2 (PI))))
(* -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
26.0ms	x	@	-inf	((/ (* -1/2 (- x (* (PI) y))) y) (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/ 1 (sin (+ (* -1/2 (/ x y)) (/ (PI) 2)))) (sin (+ (* -1/2 (/ x y)) (/ (PI) 2))) (/ (/ (- 1 (cos (/ x y))) (sin (/ (neg x) y))) (sin (/ x (* y 2)))) (sin (neg (+ (+ (* (/ x y) -1/2) (/ (PI) 2)) (PI)))) (neg (+ (+ (* (/ x y) -1/2) (/ (PI) 2)) (PI))) (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/ 1 (sin (neg (+ (+ (* (/ x y) -1/2) (/ (PI) 2)) (PI))))) (+ (* (* (/ -1/48 y) (pow (/ x y) 2)) x) (* (/ 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)) (/ (- 1 (sin (+ (/ (neg x) y) (/ (PI) 2)))) (sin (/ (neg x) y))) (sin (+ (/ (neg x) y) (/ (PI) 2))) (/ (/ (- 1 (sin (+ (/ (neg x) y) (/ (PI) 2)))) (sin (/ (neg x) y))) (sin (/ x (* y 2)))) (- 1 (sin (+ (/ (neg x) y) (/ (PI) 2)))) (* (PI) y) (+ (* (/ x y) -1/2) (/ (PI) 2)) (+ (+ (* (/ x y) -1/2) (/ (PI) 2)) (PI)) (sin (/ x (* y 2))) (sin (/ (neg x) y)) (sin (/ x (* y 2))))
7.0ms	y	@	inf	((/ (* -1/2 (- x (* (PI) y))) y) (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/ 1 (sin (+ (* -1/2 (/ x y)) (/ (PI) 2)))) (sin (+ (* -1/2 (/ x y)) (/ (PI) 2))) (/ (/ (- 1 (cos (/ x y))) (sin (/ (neg x) y))) (sin (/ x (* y 2)))) (sin (neg (+ (+ (* (/ x y) -1/2) (/ (PI) 2)) (PI)))) (neg (+ (+ (* (/ x y) -1/2) (/ (PI) 2)) (PI))) (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/ 1 (sin (neg (+ (+ (* (/ x y) -1/2) (/ (PI) 2)) (PI))))) (+ (* (* (/ -1/48 y) (pow (/ x y) 2)) x) (* (/ 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)) (/ (- 1 (sin (+ (/ (neg x) y) (/ (PI) 2)))) (sin (/ (neg x) y))) (sin (+ (/ (neg x) y) (/ (PI) 2))) (/ (/ (- 1 (sin (+ (/ (neg x) y) (/ (PI) 2)))) (sin (/ (neg x) y))) (sin (/ x (* y 2)))) (- 1 (sin (+ (/ (neg x) y) (/ (PI) 2)))) (* (PI) y) (+ (* (/ x y) -1/2) (/ (PI) 2)) (+ (+ (* (/ x y) -1/2) (/ (PI) 2)) (PI)) (sin (/ x (* y 2))) (sin (/ (neg x) y)) (sin (/ x (* y 2))))
7.0ms	y	@	-inf	((/ (* -1/2 (- x (* (PI) y))) y) (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/ 1 (sin (+ (* -1/2 (/ x y)) (/ (PI) 2)))) (sin (+ (* -1/2 (/ x y)) (/ (PI) 2))) (/ (/ (- 1 (cos (/ x y))) (sin (/ (neg x) y))) (sin (/ x (* y 2)))) (sin (neg (+ (+ (* (/ x y) -1/2) (/ (PI) 2)) (PI)))) (neg (+ (+ (* (/ x y) -1/2) (/ (PI) 2)) (PI))) (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/ 1 (sin (neg (+ (+ (* (/ x y) -1/2) (/ (PI) 2)) (PI))))) (+ (* (* (/ -1/48 y) (pow (/ x y) 2)) x) (* (/ 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)) (/ (- 1 (sin (+ (/ (neg x) y) (/ (PI) 2)))) (sin (/ (neg x) y))) (sin (+ (/ (neg x) y) (/ (PI) 2))) (/ (/ (- 1 (sin (+ (/ (neg x) y) (/ (PI) 2)))) (sin (/ (neg x) y))) (sin (/ x (* y 2)))) (- 1 (sin (+ (/ (neg x) y) (/ (PI) 2)))) (* (PI) y) (+ (* (/ x y) -1/2) (/ (PI) 2)) (+ (+ (* (/ x y) -1/2) (/ (PI) 2)) (PI)) (sin (/ x (* y 2))) (sin (/ (neg x) y)) (sin (/ x (* y 2))))
6.0ms	x	@	0	((/ (* -1/2 (- x (* (PI) y))) y) (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/ 1 (sin (+ (* -1/2 (/ x y)) (/ (PI) 2)))) (sin (+ (* -1/2 (/ x y)) (/ (PI) 2))) (/ (/ (- 1 (cos (/ x y))) (sin (/ (neg x) y))) (sin (/ x (* y 2)))) (sin (neg (+ (+ (* (/ x y) -1/2) (/ (PI) 2)) (PI)))) (neg (+ (+ (* (/ x y) -1/2) (/ (PI) 2)) (PI))) (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/ 1 (sin (neg (+ (+ (* (/ x y) -1/2) (/ (PI) 2)) (PI))))) (+ (* (* (/ -1/48 y) (pow (/ x y) 2)) x) (* (/ 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)) (/ (- 1 (sin (+ (/ (neg x) y) (/ (PI) 2)))) (sin (/ (neg x) y))) (sin (+ (/ (neg x) y) (/ (PI) 2))) (/ (/ (- 1 (sin (+ (/ (neg x) y) (/ (PI) 2)))) (sin (/ (neg x) y))) (sin (/ x (* y 2)))) (- 1 (sin (+ (/ (neg x) y) (/ (PI) 2)))) (* (PI) y) (+ (* (/ x y) -1/2) (/ (PI) 2)) (+ (+ (* (/ x y) -1/2) (/ (PI) 2)) (PI)) (sin (/ x (* y 2))) (sin (/ (neg x) y)) (sin (/ x (* y 2))))
5.0ms	x	@	inf	((/ (* -1/2 (- x (* (PI) y))) y) (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/ 1 (sin (+ (* -1/2 (/ x y)) (/ (PI) 2)))) (sin (+ (* -1/2 (/ x y)) (/ (PI) 2))) (/ (/ (- 1 (cos (/ x y))) (sin (/ (neg x) y))) (sin (/ x (* y 2)))) (sin (neg (+ (+ (* (/ x y) -1/2) (/ (PI) 2)) (PI)))) (neg (+ (+ (* (/ x y) -1/2) (/ (PI) 2)) (PI))) (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/ 1 (sin (neg (+ (+ (* (/ x y) -1/2) (/ (PI) 2)) (PI))))) (+ (* (* (/ -1/48 y) (pow (/ x y) 2)) x) (* (/ 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)) (/ (- 1 (sin (+ (/ (neg x) y) (/ (PI) 2)))) (sin (/ (neg x) y))) (sin (+ (/ (neg x) y) (/ (PI) 2))) (/ (/ (- 1 (sin (+ (/ (neg x) y) (/ (PI) 2)))) (sin (/ (neg x) y))) (sin (/ x (* y 2)))) (- 1 (sin (+ (/ (neg x) y) (/ (PI) 2)))) (* (PI) y) (+ (* (/ x y) -1/2) (/ (PI) 2)) (+ (+ (* (/ x y) -1/2) (/ (PI) 2)) (PI)) (sin (/ x (* y 2))) (sin (/ (neg x) y)) (sin (/ x (* y 2))))

simplify250.0ms (2.6%)

Memory

-7.1MiB live, 224.1MiB allocated; 57ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1101	5929
1	3696	5649
0	8382	5399

Stop Event

1×	iter limit
1×	node limit

Counts

160 → 160

Calls

Call 1

Inputs
(* 1/2 (PI))
(+ (* -1/2 (/ x y)) (* 1/2 (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))))))
(/ 1 (sin (* 1/2 (PI))))
(+ (* 1/2 (/ (* x (cos (* 1/2 (PI)))) (* y (pow (sin (* 1/2 (PI))) 2)))) (/ 1 (sin (* 1/2 (PI)))))
(+ (* x (- (* x (- (* 1/8 (/ 1 (* (pow y 2) (sin (* 1/2 (PI)))))) (* -1/4 (/ (pow (cos (* 1/2 (PI))) 2) (* (pow y 2) (pow (sin (* 1/2 (PI))) 3)))))) (* -1/2 (/ (cos (* 1/2 (PI))) (* y (pow (sin (* 1/2 (PI))) 2)))))) (/ 1 (sin (* 1/2 (PI)))))
(+ (* x (- (* x (- (+ (* -1 (* x (+ (* -1/2 (/ (* (cos (* 1/2 (PI))) (- (* 1/8 (/ 1 (* (pow y 2) (sin (* 1/2 (PI)))))) (* -1/4 (/ (pow (cos (* 1/2 (PI))) 2) (* (pow y 2) (pow (sin (* 1/2 (PI))) 3)))))) (* y (sin (* 1/2 (PI)))))) (+ (* -1/16 (/ (cos (* 1/2 (PI))) (* (pow y 3) (pow (sin (* 1/2 (PI))) 2)))) (* 1/48 (/ (cos (* 1/2 (PI))) (* (pow y 3) (pow (sin (* 1/2 (PI))) 2)))))))) (* 1/8 (/ 1 (* (pow y 2) (sin (* 1/2 (PI))))))) (* -1/4 (/ (pow (cos (* 1/2 (PI))) 2) (* (pow y 2) (pow (sin (* 1/2 (PI))) 3)))))) (* -1/2 (/ (cos (* 1/2 (PI))) (* y (pow (sin (* 1/2 (PI))) 2)))))) (/ 1 (sin (* 1/2 (PI)))))
(sin (* 1/2 (PI)))
(+ (sin (* 1/2 (PI))) (* -1/2 (/ (* x (cos (* 1/2 (PI)))) y)))
(+ (sin (* 1/2 (PI))) (* x (+ (* -1/2 (/ (cos (* 1/2 (PI))) y)) (* -1/8 (/ (* x (sin (* 1/2 (PI)))) (pow y 2))))))
(+ (sin (* 1/2 (PI))) (* x (+ (* -1/2 (/ (cos (* 1/2 (PI))) y)) (* x (+ (* -1/8 (/ (sin (* 1/2 (PI))) (pow y 2))) (* 1/48 (/ (* x (cos (* 1/2 (PI)))) (pow y 3))))))))
-1
(- (* -1/8 (/ (pow x 2) (pow y 2))) 1)
(- (* (pow x 2) (- (* -5/384 (/ (pow x 2) (pow y 4))) (* 1/8 (/ 1 (pow y 2))))) 1)
(- (* (pow x 2) (- (* (pow x 2) (- (* (pow x 2) (- (* 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)
(sin (neg (+ (PI) (* 1/2 (PI)))))
(+ (sin (neg (+ (PI) (* 1/2 (PI))))) (* 1/2 (/ (* x (cos (neg (+ (PI) (* 1/2 (PI)))))) y)))
(+ (sin (neg (+ (PI) (* 1/2 (PI))))) (* x (+ (* -1/8 (/ (* x (sin (neg (+ (PI) (* 1/2 (PI)))))) (pow y 2))) (* 1/2 (/ (cos (neg (+ (PI) (* 1/2 (PI))))) y)))))
(+ (sin (neg (+ (PI) (* 1/2 (PI))))) (* x (+ (* 1/2 (/ (cos (neg (+ (PI) (* 1/2 (PI))))) y)) (* x (+ (* -1/8 (/ (sin (neg (+ (PI) (* 1/2 (PI))))) (pow y 2))) (* -1/48 (/ (* x (cos (neg (+ (PI) (* 1/2 (PI)))))) (pow y 3))))))))
(* -1 (+ (PI) (* 1/2 (PI))))
(- (* 1/2 (/ x y)) (+ (PI) (* 1/2 (PI))))
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(+ (* -1 (/ (- (+ (* -1/4 (/ (* (pow x 2) (pow (cos (* 1/2 (PI))) 2)) (* y (pow (sin (* 1/2 (PI))) 3)))) (* -1/8 (/ (pow x 2) (* y (sin (* 1/2 (PI))))))) (* 1/2 (/ (* x (cos (* 1/2 (PI)))) (pow (sin (* 1/2 (PI))) 2)))) y)) (/ 1 (sin (* 1/2 (PI)))))
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(* -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))
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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))
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(* -1 (/ (+ x (* -1/6 (/ (pow x 3) (pow y 2)))) y))
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(* -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
(* 1/2 (PI))
(*.f64 #s(literal 1/2 binary64) (PI.f64))
(+ (* -1/2 (/ x y)) (* 1/2 (PI)))
(*.f64 #s(literal 1/2 binary64) (-.f64 (PI.f64) (/.f64 x y)))
1
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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 (+ (PI) (* 1/2 (PI))))
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(.f64 (neg.f64 y) (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (cos.f64 (.f64 (PI.f64) #s(literal -1/2 binary64))) y)) (/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) x)))
(* -1 (* y (- (+ (* -1 (/ (+ (* -1 (cos (* 1/2 (PI)))) (* -1 (/ (- (* 1/2 (* x (sin (* 1/2 (PI))))) (* -1/6 (* x (- 1 (sin (* 1/2 (PI))))))) y))) y)) (/ 1 x)) (/ (sin (* 1/2 (PI))) x))))
(.f64 (neg.f64 y) (fma.f64 (/.f64 (-.f64 (cos.f64 (.f64 #s(literal -3/2 binary64) (PI.f64))) (/.f64 (fma.f64 (.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) (PI.f64))) x) #s(literal 1/2 binary64) (.f64 (.f64 #s(literal 1/6 binary64) x) (-.f64 #s(literal 1 binary64) (sin.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)))))) y)) y) #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (sin.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)))) x)))
(* -1 (* y (- (+ (* -1 (/ (+ (* -1 (cos (* 1/2 (PI)))) (* -1 (/ (- (+ (* -1/24 (/ (* (pow x 3) (sin (* 1/2 (PI)))) (pow y 2))) (* 1/2 (* x (sin (* 1/2 (PI)))))) (+ (* -1/6 (* x (- 1 (sin (* 1/2 (PI)))))) (+ (* -1/6 (/ (* (pow x 2) (- (* 1/2 (* x (sin (* 1/2 (PI))))) (* -1/6 (* x (- 1 (sin (* 1/2 (PI)))))))) (pow y 2))) (* 1/120 (/ (* (pow x 3) (- 1 (sin (* 1/2 (PI))))) (pow y 2)))))) y))) y)) (/ 1 x)) (/ (sin (* 1/2 (PI))) x))))
(.f64 (neg.f64 y) (fma.f64 (/.f64 (-.f64 (cos.f64 (.f64 #s(literal -3/2 binary64) (PI.f64))) (/.f64 (-.f64 (fma.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) (/.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) (PI.f64))) (.f64 y y))) #s(literal -1/24 binary64) (.f64 (.f64 #s(literal 1/2 binary64) x) (sin.f64 (.f64 #s(literal 1/2 binary64) (PI.f64))))) (fma.f64 (.f64 #s(literal -1/6 binary64) x) (-.f64 #s(literal 1 binary64) (sin.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)))) (/.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 (fma.f64 (.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) (PI.f64))) x) #s(literal 1/2 binary64) (.f64 (.f64 #s(literal 1/6 binary64) x) (-.f64 #s(literal 1 binary64) (sin.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)))))) (.f64 x x)) (.f64 #s(literal 1/120 binary64) (.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 #s(literal 1 binary64) (sin.f64 (.f64 #s(literal 1/2 binary64) (PI.f64))))))) (.f64 y y)))) y)) y) #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (sin.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)))) x)))
(+ (sin (* 1/2 (PI))) (* -1 (/ (+ (* 1/2 (/ (* (pow x 2) (sin (* 1/2 (PI)))) y)) (* x (cos (* 1/2 (PI))))) y)))
(-.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) (PI.f64))) (/.f64 (fma.f64 (/.f64 (.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) (PI.f64))) (.f64 x x)) y) #s(literal 1/2 binary64) (.f64 (cos.f64 (.f64 (PI.f64) #s(literal -1/2 binary64))) x)) y))
(+ (sin (* 1/2 (PI))) (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (pow x 2) (sin (* 1/2 (PI))))) (* 1/6 (/ (* (pow x 3) (cos (* 1/2 (PI)))) y))) y)) (* x (cos (* 1/2 (PI))))) y)))
(-.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) (PI.f64))) (/.f64 (fma.f64 (cos.f64 (.f64 (PI.f64) #s(literal -1/2 binary64))) x (/.f64 (fma.f64 (/.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) (cos.f64 (.f64 (PI.f64) #s(literal -1/2 binary64)))) y) #s(literal 1/6 binary64) (.f64 (.f64 #s(literal -1/2 binary64) (.f64 x x)) (sin.f64 (.f64 #s(literal 1/2 binary64) (PI.f64))))) (neg.f64 y))) y))
(* (pow y 2) (+ (* -2 (/ (- 1 (sin (* 1/2 (PI)))) (pow x 2))) (* -1 (/ (+ (* -1 (/ (- (* -1 (sin (* 1/2 (PI)))) (* 4 (/ (* (+ (* 1/48 (pow x 4)) (* 1/12 (pow x 4))) (- 1 (sin (* 1/2 (PI))))) (pow x 4)))) y)) (* 2 (/ (cos (* 1/2 (PI))) x))) y))))
(.f64 (fma.f64 (/.f64 #s(literal -2 binary64) x) (/.f64 (-.f64 #s(literal 1 binary64) (sin.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)))) x) (/.f64 (fma.f64 (/.f64 (cos.f64 (.f64 (PI.f64) #s(literal -1/2 binary64))) x) #s(literal 2 binary64) (/.f64 (-.f64 (sin.f64 (.f64 (PI.f64) #s(literal -1/2 binary64))) (.f64 (.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5/48 binary64)) (/.f64 (-.f64 #s(literal 1 binary64) (sin.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)))) (pow.f64 x #s(literal 4 binary64)))) #s(literal 4 binary64))) (neg.f64 y))) (neg.f64 y))) (*.f64 y y))
(* (pow y 2) (+ (* -2 (/ (- 1 (sin (* 1/2 (PI)))) (pow x 2))) (* -1 (/ (+ (* -1 (/ (- (+ (* -1 (sin (* 1/2 (PI)))) (* -1 (/ (- (* -1/3 (* x (cos (* 1/2 (PI))))) (* -4 (/ (* (cos (* 1/2 (PI))) (+ (* 1/48 (pow x 4)) (* 1/12 (pow x 4)))) (pow x 3)))) y))) (* 4 (/ (* (+ (* 1/48 (pow x 4)) (* 1/12 (pow x 4))) (- 1 (sin (* 1/2 (PI))))) (pow x 4)))) y)) (* 2 (/ (cos (* 1/2 (PI))) x))) y))))
(.f64 (fma.f64 (/.f64 #s(literal -2 binary64) x) (/.f64 (-.f64 #s(literal 1 binary64) (sin.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)))) x) (/.f64 (fma.f64 (/.f64 (cos.f64 (.f64 (PI.f64) #s(literal -1/2 binary64))) x) #s(literal 2 binary64) (/.f64 (-.f64 (-.f64 (sin.f64 (.f64 (PI.f64) #s(literal -1/2 binary64))) (/.f64 (fma.f64 (.f64 #s(literal -1/3 binary64) x) (cos.f64 (.f64 (PI.f64) #s(literal -1/2 binary64))) (.f64 #s(literal 4 binary64) (/.f64 (.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5/48 binary64)) (cos.f64 (.f64 (PI.f64) #s(literal -1/2 binary64)))) (pow.f64 x #s(literal 3 binary64))))) y)) (.f64 (.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5/48 binary64)) (/.f64 (-.f64 #s(literal 1 binary64) (sin.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)))) (pow.f64 x #s(literal 4 binary64)))) #s(literal 4 binary64))) (neg.f64 y))) (neg.f64 y))) (*.f64 y y))
(- (+ 1 (* -1 (/ (- (* -1/2 (/ (* (pow x 2) (sin (* 1/2 (PI)))) y)) (* x (cos (* 1/2 (PI))))) y))) (sin (* 1/2 (PI))))
(-.f64 (-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (/.f64 (.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) (PI.f64))) (.f64 x x)) y) #s(literal -1/2 binary64) (.f64 (cos.f64 (.f64 #s(literal -3/2 binary64) (PI.f64))) x)) y)) (sin.f64 (.f64 #s(literal 1/2 binary64) (PI.f64))))
(- (+ 1 (* -1 (/ (- (* -1 (/ (- (* -1/6 (/ (* (pow x 3) (cos (* 1/2 (PI)))) y)) (* -1/2 (* (pow x 2) (sin (* 1/2 (PI)))))) y)) (* x (cos (* 1/2 (PI))))) y))) (sin (* 1/2 (PI))))
(-.f64 (-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) (cos.f64 (.f64 (PI.f64) #s(literal -1/2 binary64)))) y) #s(literal -1/6 binary64) (.f64 #s(literal 1/2 binary64) (.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) (PI.f64))) (.f64 x x)))) y) #s(literal -1 binary64) (.f64 (cos.f64 (.f64 #s(literal -3/2 binary64) (PI.f64))) x)) y)) (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))))
(* -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 (/.f64 (pow.f64 x #s(literal 5 binary64)) (pow.f64 y #s(literal 4 binary64))) #s(literal -1/3840 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))
(* -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 (+.f64 (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)))) 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 (/.f64 #s(literal -1/6 binary64) y) (/.f64 (pow.f64 x #s(literal 3 binary64)) y) x) (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))))) (neg.f64 y))

rewrite238.0ms (2.5%)

Memory

14.6MiB live, 308.9MiB allocated; 53ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	68	379
0	109	353
1	362	327
2	2398	315
0	8392	312

Stop Event

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

Counts

23 → 517

Calls

Call 1

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

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

eval436.0ms (4.5%)

Memory: -14.1MiB live, 263.1MiB allocated; 35ms collecting garbage
Compiler: Compiled 32 281 to 3 856 computations (88.1% saved)

prune92.0ms (1%)

Memory

-2.9MiB live, 155.1MiB allocated; 23ms collecting garbage

Pruning

56 alts after pruning (49 fresh and 7 done)

	Pruned	Kept	Total
New	656	17	673
Fresh	3	32	35
Picked	4	1	5
Done	0	6	6
Total	663	56	719

Accuracy

59.7%

Counts

719 → 56

Alt Table

Click to see full alt table

Status	Accuracy	Program
	4.4%	(/.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)))))
	4.8%	(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (pow.f64 (sin.f64 (/.f64 (neg.f64 x) y)) #s(literal 3 binary64)) #s(literal 0 binary64) (pow.f64 (cos.f64 (/.f64 x y)) #s(literal 3 binary64))) (+.f64 (pow.f64 (.f64 #s(literal 0 binary64) (sin.f64 (/.f64 (neg.f64 x) y))) #s(literal 2 binary64)) (-.f64 (pow.f64 (cos.f64 (/.f64 x y)) #s(literal 2 binary64)) (.f64 (.f64 #s(literal 0 binary64) (sin.f64 (/.f64 (neg.f64 x) y))) (cos.f64 (/.f64 x y))))))) (sin.f64 (/.f64 (neg.f64 x) y))) (sin.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))))
	4.9%	(/.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 (/.f64 x y) (PI.f64)))) (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))))) (cos.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 x y)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
	4.3%	(/.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)))))
✓	4.8%	(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x y))) (sin.f64 (/.f64 (neg.f64 x) y))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
	5.7%	(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x y))) (sin.f64 (+.f64 (/.f64 x y) (PI.f64)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
	5.3%	(/.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)))))
	4.5%	(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) #s(approx (sin (+ (/ (neg x) y) (/ (PI) 2))) (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (/.f64 (neg.f64 x) y))))) (sin.f64 (/.f64 (neg.f64 x) y))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
	4.8%	(/.f64 (-.f64 (/.f64 (pow.f64 (+.f64 (cos.f64 (/.f64 x y)) #s(literal 1 binary64)) #s(literal -1 binary64)) (sin.f64 (/.f64 (neg.f64 x) y))) (/.f64 (/.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)))))
	4.5%	(/.f64 (-.f64 (/.f64 (pow.f64 (sin.f64 (/.f64 (neg.f64 x) y)) #s(literal -2 binary64)) (/.f64 (+.f64 (cos.f64 (/.f64 x y)) #s(literal 1 binary64)) (sin.f64 (/.f64 (neg.f64 x) y)))) (/.f64 (pow.f64 (/.f64 (cos.f64 (/.f64 x y)) (sin.f64 (/.f64 (neg.f64 x) y))) #s(literal 2 binary64)) (/.f64 (+.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)))))
	4.4%	(/.f64 (-.f64 (/.f64 (.f64 #s(literal 1 binary64) (sin.f64 (/.f64 (neg.f64 x) y))) (pow.f64 (sin.f64 (/.f64 x y)) #s(literal 2 binary64))) (/.f64 (.f64 (sin.f64 (/.f64 (neg.f64 x) y)) (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)))))
	4.8%	(/.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)))))
	1.9%	(/.f64 (tan.f64 (/.f64 (/.f64 x y) #s(literal -2 binary64))) (sin.f64 (/.f64 x (/.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)))))))
	5.3%	(/.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))))
✓	41.6%	(/.f64 (tan.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))))
	41.4%	(/.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))))
	4.3%	(/.f64 (tan.f64 (/.f64 x (.f64 #s(literal -2 binary64) y))) (sin.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))))
	36.2%	(/.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)))
	2.1%	(/.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 (+ (* (* (/ -1/48 y) (pow (/ x y) 2)) x) (* (/ 1/2 y) x)) (*.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)) #s(literal -1/48 binary64)))))
	36.4%	(/.f64 #s(approx (tan (/ x (* y 2))) (fma.f64 (pow.f64 (/.f64 x y) #s(literal 3/2 binary64)) (.f64 (pow.f64 (/.f64 x y) #s(literal 3/2 binary64)) #s(literal 1/24 binary64)) (.f64 (/.f64 #s(literal 1/2 binary64) y) x))) #s(approx (sin (/ x (* y 2))) (fma.f64 (.f64 (/.f64 #s(literal -1/48 binary64) y) (pow.f64 (/.f64 x y) #s(literal 2 binary64))) x (.f64 (/.f64 #s(literal 1/2 binary64) y) x))))
	41.0%	(/.f64 #s(approx (tan (/ x (* y 2))) (/.f64 (sin.f64 (.f64 (/.f64 #s(literal 1/2 binary64) y) x)) (cos.f64 (.f64 (/.f64 #s(literal 1/2 binary64) y) x)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
	36.0%	(/.f64 #s(approx (tan (/ x (* y 2))) (-.f64 (.f64 (/.f64 #s(literal 1/2 binary64) y) x) (.f64 #s(literal 1/24 binary64) (pow.f64 (/.f64 x y) #s(literal 3 binary64))))) #s(approx (sin (/ x (* y 2))) (fma.f64 (.f64 (/.f64 #s(literal -1/48 binary64) y) (pow.f64 (/.f64 x y) #s(literal 2 binary64))) x (.f64 (/.f64 #s(literal 1/2 binary64) y) x))))
	3.4%	(/.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))) (fma.f64 (.f64 (/.f64 #s(literal -1/48 binary64) y) (pow.f64 (/.f64 x y) #s(literal 2 binary64))) x (.f64 (/.f64 #s(literal 1/2 binary64) y) x))))
	2.7%	(/.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)))
	4.4%	(-.f64 (pow.f64 (.f64 (sin.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64))) (sin.f64 (/.f64 (neg.f64 x) y))) #s(literal -1 binary64)) (/.f64 (cos.f64 (/.f64 x y)) (.f64 (sin.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64))) (sin.f64 (/.f64 (neg.f64 x) y)))))
	4.4%	(-.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)))))
	4.0%	#s(approx (/ (/ (- 1 (sin (+ (/ (neg x) y) (/ (PI) 2)))) (sin (/ (neg x) y))) (sin (/ x (* y 2)))) (/.f64 (-.f64 #s(literal 1 binary64) (sin.f64 (-.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) (/.f64 x y)))) (.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y))) (sin.f64 (/.f64 (neg.f64 x) y)))))
✓	7.3%	#s(approx (/ (/ (- 1 (cos (/ x y))) (sin (/ (neg x) y))) (sin (/ x (* y 2)))) #s(literal -1 binary64))
✓	42.3%	#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)))
	48.2%	#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (pow.f64 (pow.f64 (sin.f64 #s(approx (+ (* -1/2 (/ x y)) (/ (PI) 2)) (/.f64 (.f64 (-.f64 x (.f64 y (PI.f64))) #s(literal -1/2 binary64)) y))) #s(literal -1/2 binary64)) #s(literal 2 binary64)))
	47.9%	#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (pow.f64 (pow.f64 (neg.f64 (cos.f64 (fma.f64 (/.f64 x y) #s(literal -1/2 binary64) (PI.f64)))) #s(literal -1/2 binary64)) #s(literal 2 binary64)))
	52.2%	#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 (fma.f64 #s(literal 2 binary64) (PI.f64) (/.f64 (PI.f64) #s(literal 2 binary64)))) (.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (/.f64 x y) #s(literal -1/2 binary64)))))))
	51.3%	#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 (fma.f64 (/.f64 x y) #s(literal -1/2 binary64) (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)))))))
	52.2%	#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (-.f64 (cos.f64 (-.f64 (fma.f64 (/.f64 x y) #s(literal -1/2 binary64) (/.f64 (PI.f64) #s(literal 2 binary64))) (/.f64 (PI.f64) #s(literal 2 binary64)))) (cos.f64 (fma.f64 (/.f64 x y) #s(literal -1/2 binary64) (PI.f64)))) #s(literal 2 binary64) (.f64 #s(literal 2 binary64) (+.f64 (sin.f64 (-.f64 (.f64 (/.f64 x y) #s(literal -1/2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64)))) (cos.f64 (*.f64 (/.f64 x y) #s(literal -1/2 binary64)))))) #s(literal 4 binary64))))
	50.7%	#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (pow.f64 (.f64 #s(literal 0 binary64) (sin.f64 (.f64 (/.f64 x y) #s(literal -1/2 binary64)))) #s(literal 2 binary64)) (pow.f64 (.f64 #s(literal 1 binary64) (cos.f64 (.f64 (/.f64 x y) #s(literal -1/2 binary64)))) #s(literal 2 binary64))) (sin.f64 (-.f64 (*.f64 (/.f64 x y) #s(literal -1/2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64)))))))
	52.2%	#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 #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))) (sin.f64 (neg.f64 (.f64 #s(literal 2 binary64) (PI.f64))))))))
	52.3%	#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (sin.f64 (fma.f64 (/.f64 x y) #s(literal -1/2 binary64) (fma.f64 #s(literal 2 binary64) (PI.f64) (/.f64 (PI.f64) #s(literal 2 binary64)))))))
	51.5%	#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))))))
	51.2%	#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (sin.f64 (+.f64 (neg.f64 (*.f64 (/.f64 x y) #s(literal -1/2 binary64))) (/.f64 (PI.f64) #s(literal 2 binary64))))))
	52.1%	#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (sin.f64 (neg.f64 (+.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) y) x (/.f64 (PI.f64) #s(literal 2 binary64))) (PI.f64))))))
	52.1%	#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (sin.f64 #s(approx (+ (* -1/2 (/ x y)) (/ (PI) 2)) (.f64 (-.f64 x (.f64 y (PI.f64))) (/.f64 #s(literal -1/2 binary64) y))))))
	52.3%	#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (sin.f64 #s(approx (+ (* -1/2 (/ x y)) (/ (PI) 2)) (*.f64 #s(literal -1/2 binary64) (-.f64 (/.f64 x y) (PI.f64)))))))
	5.4%	#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (sin.f64 #s(approx (+ (* -1/2 (/ x y)) (/ (PI) 2)) #s(approx (/ (* -1/2 (- x (* (PI) y))) y) (*.f64 (/.f64 x y) #s(literal -1/2 binary64)))))))
	51.2%	#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (sin.f64 #s(approx (neg (+ (+ (* (/ x y) -1/2) (/ (PI) 2)) (PI))) (fma.f64 #s(literal 1/2 binary64) (/.f64 x y) (*.f64 #s(literal -3/2 binary64) (PI.f64)))))))
	6.8%	#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 (-.f64 (pow.f64 (fma.f64 (/.f64 x y) #s(literal -1/2 binary64) (PI.f64)) #s(literal 2 binary64)) (*.f64 (PI.f64) (PI.f64))) (-.f64 (fma.f64 (/.f64 x y) #s(literal -1/2 binary64) (PI.f64)) (PI.f64))))))
	52.2%	#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))))
	51.9%	#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) y) x (PI.f64)) (PI.f64)))))
✓	52.2%	#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)))))
	52.2%	#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) (fma.f64 #s(literal 2 binary64) (PI.f64) (/.f64 (PI.f64) #s(literal 2 binary64)))) (/.f64 (PI.f64) #s(literal 2 binary64))) (PI.f64)))))
	52.2%	#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 (+.f64 (+.f64 (fma.f64 (/.f64 x y) #s(literal -1/2 binary64) (PI.f64)) (PI.f64)) (PI.f64)) (PI.f64)))))
✓	52.0%	#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))))
	47.2%	#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)))))
	51.3%	#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)))))
	48.2%	#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (+.f64 (cosh.f64 (.f64 (log.f64 (sin.f64 #s(approx (+ ( -1/2 (/ x y)) (/ (PI) 2)) (/.f64 (.f64 (-.f64 x (.f64 y (PI.f64))) #s(literal -1/2 binary64)) y)))) #s(literal -1 binary64))) (sinh.f64 (.f64 (log.f64 (sin.f64 #s(approx (+ ( -1/2 (/ x y)) (/ (PI) 2)) (/.f64 (.f64 (-.f64 x (.f64 y (PI.f64))) #s(literal -1/2 binary64)) y)))) #s(literal -1 binary64)))))
✓	51.0%	#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(literal 1 binary64))

Compiler

Compiled 4 250 to 1 619 computations (61.9% saved)

regimes120.0ms (1.2%)

Memory

5.5MiB live, 193.6MiB allocated; 27ms 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 (/ (/ (- 1 (cos (/ x y))) (sin (/ (neg x) y))) (sin (/ x (* y 2)))) #s(literal -1 binary64))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (fma.f64 (/.f64 #s(literal 1/8 binary64) y) (/.f64 (*.f64 x x) y) #s(literal 1 binary64)))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) #s(approx (cos (* (/ 1/2 y) x)) (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) (sin.f64 #s(approx (+ (* -1/2 (/ x y)) (/ (PI) 2)) #s(approx (/ (* -1/2 (- x (* (PI) y))) y) (*.f64 (/.f64 x y) #s(literal -1/2 binary64)))))))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal -1 binary64) (cos.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 x y) (PI.f64)))))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal -1 binary64) (cos.f64 (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 (+ (* -1/2 (/ x y)) (/ (PI) 2)) (*.f64 #s(literal -1/2 binary64) (-.f64 (/.f64 x y) (PI.f64)))))))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 x y) (PI.f64)) (PI.f64)))))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) y) x (PI.f64)) (PI.f64)))))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (sin.f64 #s(approx (neg (+ (+ (* (/ x y) -1/2) (/ (PI) 2)) (PI))) (fma.f64 #s(literal 1/2 binary64) (/.f64 x y) (*.f64 #s(literal -3/2 binary64) (PI.f64)))))))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (sin.f64 #s(approx (+ (* -1/2 (/ x y)) (/ (PI) 2)) (.f64 (-.f64 x (.f64 y (PI.f64))) (/.f64 #s(literal -1/2 binary64) y))))))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (sin.f64 #s(approx (+ (* -1/2 (/ x y)) (/ (PI) 2)) (/.f64 (.f64 #s(literal -1/2 binary64) (-.f64 x (.f64 (PI.f64) y))) y)))))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 (+.f64 (+.f64 (fma.f64 (/.f64 x y) #s(literal -1/2 binary64) (PI.f64)) (PI.f64)) (PI.f64)) (PI.f64)))))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (sin.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 x y) (/.f64 (PI.f64) #s(literal 2 binary64))))))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (sin.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) y) x (/.f64 (PI.f64) #s(literal 2 binary64))))))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (sin.f64 (+.f64 (neg.f64 (*.f64 (/.f64 x y) #s(literal -1/2 binary64))) (/.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 #s(literal 1/2 binary64) y) x (/.f64 (PI.f64) #s(literal 2 binary64))) (PI.f64))))))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (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 (neg.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) y) x (/.f64 (PI.f64) #s(literal 2 binary64)))) (PI.f64)))))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (sin.f64 (fma.f64 (/.f64 x y) #s(literal -1/2 binary64) (fma.f64 #s(literal 2 binary64) (PI.f64) (/.f64 (PI.f64) #s(literal 2 binary64)))))))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 (+.f64 (fma.f64 (/.f64 x y) #s(literal -1/2 binary64) (fma.f64 #s(literal 2 binary64) (PI.f64) (/.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 (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 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)))))
(/.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 (+ (* (* (/ -1/48 y) (pow (/ x y) 2)) x) (* (/ 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 (pow.f64 (fma.f64 (/.f64 x y) #s(literal -1/2 binary64) (PI.f64)) #s(literal 2 binary64)) (*.f64 (PI.f64) (PI.f64))) (-.f64 (fma.f64 (/.f64 x y) #s(literal -1/2 binary64) (PI.f64)) (PI.f64))))))
(/.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))) (fma.f64 (.f64 (/.f64 #s(literal -1/48 binary64) y) (pow.f64 (/.f64 x y) #s(literal 2 binary64))) x (.f64 (/.f64 #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))) (fma.f64 (.f64 (/.f64 #s(literal -1/48 binary64) y) (pow.f64 (/.f64 x y) #s(literal 2 binary64))) x (.f64 (/.f64 #s(literal 1/2 binary64) y) x))))
(/.f64 #s(approx (tan (/ x (* y 2))) (-.f64 (.f64 (/.f64 #s(literal 1/2 binary64) y) x) (.f64 #s(literal 1/24 binary64) (pow.f64 (/.f64 x y) #s(literal 3 binary64))))) #s(approx (sin (/ x (* y 2))) (fma.f64 (.f64 (/.f64 #s(literal -1/48 binary64) y) (pow.f64 (/.f64 x y) #s(literal 2 binary64))) x (.f64 (/.f64 #s(literal 1/2 binary64) y) x))))
#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 (neg.f64 (cos.f64 (fma.f64 (/.f64 x y) #s(literal -1/2 binary64) (PI.f64)))) #s(literal -1/2 binary64)) #s(literal 2 binary64)))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (exp.f64 (*.f64 (log.f64 (neg.f64 (cos.f64 (fma.f64 (/.f64 x y) #s(literal -1/2 binary64) (PI.f64))))) #s(literal -1 binary64))))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (pow.f64 (pow.f64 (sin.f64 #s(approx (+ (* -1/2 (/ x y)) (/ (PI) 2)) (/.f64 (.f64 (-.f64 x (.f64 y (PI.f64))) #s(literal -1/2 binary64)) y))) #s(literal -1/2 binary64)) #s(literal 2 binary64)))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 (fma.f64 (/.f64 x y) #s(literal -1/2 binary64) (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)))))))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (-.f64 (.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))) (sin.f64 (neg.f64 (.f64 #s(literal 2 binary64) (PI.f64))))))))
(/.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 (-.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x y))) (sin.f64 (+.f64 (/.f64 x y) (PI.f64)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
#s(approx (/ (/ (- 1 (sin (+ (/ (neg x) y) (/ (PI) 2)))) (sin (/ (neg x) y))) (sin (/ x (* y 2)))) (/.f64 (-.f64 #s(literal 1 binary64) (sin.f64 (-.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) (/.f64 x y)))) (.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y))) (sin.f64 (/.f64 (neg.f64 x) y)))))
(/.f64 #s(approx (tan (/ x (* y 2))) (/.f64 (sin.f64 (.f64 (/.f64 #s(literal 1/2 binary64) y) x)) (cos.f64 (.f64 (/.f64 #s(literal 1/2 binary64) y) x)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (fma.f64 (sin.f64 (.f64 (/.f64 x y) #s(literal -1/2 binary64))) (cos.f64 (fma.f64 #s(literal 2 binary64) (PI.f64) (/.f64 (PI.f64) #s(literal 2 binary64)))) (.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (/.f64 x y) #s(literal -1/2 binary64)))))))
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) #s(approx (sin (+ (/ (neg x) y) (/ (PI) 2))) (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (/.f64 (neg.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 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 (-.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)))))
(/.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 (/.f64 x y) (PI.f64)))) (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))))) (cos.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 x y)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
(/.f64 #s(approx (tan (/ x (* y 2))) (fma.f64 (pow.f64 (/.f64 x y) #s(literal 3/2 binary64)) (.f64 (pow.f64 (/.f64 x y) #s(literal 3/2 binary64)) #s(literal 1/24 binary64)) (.f64 (/.f64 #s(literal 1/2 binary64) y) x))) #s(approx (sin (/ x (* y 2))) (fma.f64 (.f64 (/.f64 #s(literal -1/48 binary64) y) (pow.f64 (/.f64 x y) #s(literal 2 binary64))) x (.f64 (/.f64 #s(literal 1/2 binary64) y) x))))
(/.f64 (tan.f64 (/.f64 (/.f64 x y) #s(literal -2 binary64))) (sin.f64 (/.f64 x (/.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)))))))
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (sin.f64 (/.f64 (neg.f64 x) y))) (/.f64 (cos.f64 (/.f64 x y)) (sin.f64 (/.f64 (neg.f64 x) y)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (-.f64 (cos.f64 (-.f64 (fma.f64 (/.f64 x y) #s(literal -1/2 binary64) (/.f64 (PI.f64) #s(literal 2 binary64))) (/.f64 (PI.f64) #s(literal 2 binary64)))) (cos.f64 (fma.f64 (/.f64 x y) #s(literal -1/2 binary64) (PI.f64)))) #s(literal 2 binary64) (.f64 #s(literal 2 binary64) (+.f64 (sin.f64 (-.f64 (.f64 (/.f64 x y) #s(literal -1/2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64)))) (cos.f64 (*.f64 (/.f64 x y) #s(literal -1/2 binary64)))))) #s(literal 4 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 #s(literal 0 binary64) (sin.f64 (.f64 (/.f64 x y) #s(literal -1/2 binary64)))) #s(literal 2 binary64)) (pow.f64 (.f64 #s(literal 1 binary64) (cos.f64 (.f64 (/.f64 x y) #s(literal -1/2 binary64)))) #s(literal 2 binary64))) (sin.f64 (-.f64 (*.f64 (/.f64 x y) #s(literal -1/2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64)))))))
(-.f64 (/.f64 (/.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 (sin.f64 #s(approx (+ ( -1/2 (/ x y)) (/ (PI) 2)) (/.f64 (.f64 (-.f64 x (.f64 y (PI.f64))) #s(literal -1/2 binary64)) y)))) #s(literal -1 binary64))) (sinh.f64 (.f64 (log.f64 (sin.f64 #s(approx (+ ( -1/2 (/ x y)) (/ (PI) 2)) (/.f64 (.f64 (-.f64 x (.f64 y (PI.f64))) #s(literal -1/2 binary64)) y)))) #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 (pow.f64 (.f64 (sin.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64))) (sin.f64 (/.f64 (neg.f64 x) y))) #s(literal -1 binary64)) (/.f64 (cos.f64 (/.f64 x y)) (.f64 (sin.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64))) (sin.f64 (/.f64 (neg.f64 x) y)))))
(/.f64 (-.f64 (/.f64 (.f64 #s(literal 1 binary64) (sin.f64 (/.f64 (neg.f64 x) y))) (pow.f64 (sin.f64 (/.f64 x y)) #s(literal 2 binary64))) (/.f64 (.f64 (sin.f64 (/.f64 (neg.f64 x) y)) (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 (/.f64 (pow.f64 (+.f64 (cos.f64 (/.f64 x y)) #s(literal 1 binary64)) #s(literal -1 binary64)) (sin.f64 (/.f64 (neg.f64 x) y))) (/.f64 (/.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)) (/.f64 (+.f64 (cos.f64 (/.f64 x y)) #s(literal 1 binary64)) (sin.f64 (/.f64 (neg.f64 x) y)))) (/.f64 (pow.f64 (/.f64 (cos.f64 (/.f64 x y)) (sin.f64 (/.f64 (neg.f64 x) y))) #s(literal 2 binary64)) (/.f64 (+.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 #s(literal 1 binary64) (/.f64 (fma.f64 (pow.f64 (sin.f64 (/.f64 (neg.f64 x) y)) #s(literal 3 binary64)) #s(literal 0 binary64) (pow.f64 (cos.f64 (/.f64 x y)) #s(literal 3 binary64))) (+.f64 (pow.f64 (.f64 #s(literal 0 binary64) (sin.f64 (/.f64 (neg.f64 x) y))) #s(literal 2 binary64)) (-.f64 (pow.f64 (cos.f64 (/.f64 x y)) #s(literal 2 binary64)) (.f64 (.f64 #s(literal 0 binary64) (sin.f64 (/.f64 (neg.f64 x) y))) (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 (pow.f64 (sin.f64 (/.f64 (neg.f64 x) y)) #s(literal -3 binary64)) (pow.f64 (/.f64 (cos.f64 (/.f64 x y)) (sin.f64 (/.f64 (neg.f64 x) y))) #s(literal 3 binary64))) (+.f64 (pow.f64 (sin.f64 (/.f64 (neg.f64 x) y)) #s(literal -2 binary64)) (+.f64 (pow.f64 (/.f64 (cos.f64 (/.f64 x y)) (sin.f64 (/.f64 (neg.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))))))) (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 #s(approx (+ (* -1/2 (/ x y)) (/ (PI) 2)) (/.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 x (*.f64 (PI.f64) y))) y)))))

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

Calls

5 calls:

32.0ms	(/.f64 x (*.f64 y #s(literal 2 binary64)))
23.0ms	(/.f64 (tan.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))))
21.0ms	y
21.0ms	x
18.0ms	(*.f64 y #s(literal 2 binary64))

Results

Accuracy	Segments	Branch
52.3%	1	`(*.f64 y #s(literal 2 binary64))`
54.4%	2	`(/.f64 x (*.f64 y #s(literal 2 binary64)))`
54.1%	2	`(/.f64 (tan.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))))`
52.3%	1	`x`
52.3%	1	`y`

Compiler

Compiled 23 to 21 computations (8.7% saved)

regimes5.0ms (0.1%)

Memory

11.9MiB live, 11.9MiB allocated; 0ms collecting garbage

Counts

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

Outputs

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

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

Calls

1 calls:

4.0ms

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

Results

Accuracy	Segments	Branch
54.3%	2	`(/.f64 x (*.f64 y #s(literal 2 binary64)))`

Compiler

Compiled 5 to 5 computations (0% saved)

regimes32.0ms (0.3%)

Memory

-23.1MiB live, 23.5MiB allocated; 2ms 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 (/ (/ (- 1 (cos (/ x y))) (sin (/ (neg x) y))) (sin (/ x (* y 2)))) #s(literal -1 binary64))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (fma.f64 (/.f64 #s(literal 1/8 binary64) y) (/.f64 (*.f64 x x) y) #s(literal 1 binary64)))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) #s(approx (cos (* (/ 1/2 y) x)) (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) (sin.f64 #s(approx (+ (* -1/2 (/ x y)) (/ (PI) 2)) #s(approx (/ (* -1/2 (- x (* (PI) y))) y) (*.f64 (/.f64 x y) #s(literal -1/2 binary64)))))))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal -1 binary64) (cos.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 x y) (PI.f64)))))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal -1 binary64) (cos.f64 (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 (/.f64 (*.f64 #s(literal 1/2 binary64) x) y))))

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

Calls

2 calls:

28.0ms	(/.f64 x (*.f64 y #s(literal 2 binary64)))
3.0ms	(/.f64 (tan.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))))

Results

Accuracy	Segments	Branch
53.9%	2	`(/.f64 (tan.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))))`
54.1%	2	`(/.f64 x (*.f64 y #s(literal 2 binary64)))`

Compiler

Compiled 18 to 13 computations (27.8% saved)

regimes3.0ms (0%)

Memory

12.7MiB live, 12.7MiB allocated; 0ms collecting garbage

Counts

7 → 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 (/ (/ (- 1 (cos (/ x y))) (sin (/ (neg x) y))) (sin (/ x (* y 2)))) #s(literal -1 binary64))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (fma.f64 (/.f64 #s(literal 1/8 binary64) y) (/.f64 (*.f64 x x) y) #s(literal 1 binary64)))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) #s(approx (cos (* (/ 1/2 y) x)) (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:

2.0ms

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

Results

Accuracy	Segments	Branch
54.0%	2	`(/.f64 x (*.f64 y #s(literal 2 binary64)))`

Compiler

Compiled 5 to 5 computations (0% saved)

regimes14.0ms (0.1%)

Memory

6.4MiB live, 51.5MiB allocated; 3ms collecting garbage

Counts

6 → 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 (/ (/ (- 1 (cos (/ x y))) (sin (/ (neg x) y))) (sin (/ x (* y 2)))) #s(literal -1 binary64))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (fma.f64 (/.f64 #s(literal 1/8 binary64) y) (/.f64 (*.f64 x x) y) #s(literal 1 binary64)))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) #s(approx (cos (* (/ 1/2 y) x)) (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

5 calls:

4.0ms	(/.f64 (tan.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))))
2.0ms	x
2.0ms	(*.f64 y #s(literal 2 binary64))
2.0ms	(/.f64 x (*.f64 y #s(literal 2 binary64)))
2.0ms	y

Results

Accuracy	Segments	Branch
51.0%	1	`(*.f64 y #s(literal 2 binary64))`
51.0%	1	`y`
51.0%	1	`x`
51.0%	1	`(/.f64 (tan.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))))`
51.0%	1	`(/.f64 x (*.f64 y #s(literal 2 binary64)))`

Compiler

Compiled 23 to 21 computations (8.7% saved)

regimes10.0ms (0.1%)

Memory

-37.1MiB live, 15.4MiB allocated; 7ms 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:

6.0ms	x
1.0ms	(*.f64 y #s(literal 2 binary64))
1.0ms	y
1.0ms	(/.f64 (tan.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))))
1.0ms	(/.f64 x (*.f64 y #s(literal 2 binary64)))

Results

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

Compiler

Compiled 23 to 21 computations (8.7% saved)

bsearch1.0ms (0%)

Memory

0.9MiB live, 0.9MiB allocated; 0ms collecting garbage

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	2.1453431404018898e+178	2.7779150780223147e+178

Compiler

Compiled 12 to 13 computations (-8.3% saved)

bsearch0.0ms (0%)

Memory

0.4MiB live, 0.4MiB allocated; 0ms collecting garbage

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	2.1453431404018898e+178	2.7779150780223147e+178

Compiler

Compiled 12 to 13 computations (-8.3% saved)

bsearch0.0ms (0%)

Memory

0.4MiB live, 0.4MiB allocated; 0ms collecting garbage

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	2.6332013909966584e+209	4.000595165884117e+212

Compiler

Compiled 12 to 13 computations (-8.3% saved)

bsearch0.0ms (0%)

Memory

0.4MiB live, 0.4MiB allocated; 0ms collecting garbage

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	2.844215680003698e+62	6.628972217945193e+63

Compiler

Compiled 12 to 13 computations (-8.3% saved)

simplify71.0ms (0.7%)

Memory

19.8MiB live, 65.5MiB allocated; 3ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	62	222
1	86	222
2	118	222
3	161	222
4	218	222
5	305	222
6	463	222
7	851	222
8	1740	222
9	3875	222
10	7155	222

Stop Event

1×	node limit

Calls

Call 1

Inputs
(if (<=.f64 (/.f64 x (.f64 y #s(literal 2 binary64))) #s(literal 24999999999999999511387443370378539864469097311681567978536495787528501346582068114817359808624495912355537149485987584604999250792110061096024322703761017576136195304236402081792 binary64)) #s(approx (/ (tan (/ x ( y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (sin.f64 #s(approx (+ (* -1/2 (/ x y)) (/ (PI) 2)) (/.f64 (.f64 #s(literal -1/2 binary64) (-.f64 x (.f64 (PI.f64) y))) 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 24999999999999999511387443370378539864469097311681567978536495787528501346582068114817359808624495912355537149485987584604999250792110061096024322703761017576136195304236402081792 binary64)) #s(approx (/ (tan (/ x ( y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (sin.f64 #s(approx (+ (* -1/2 (/ x y)) (/ (PI) 2)) (.f64 #s(literal -1/2 binary64) (-.f64 (/.f64 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 499999999999999963556891209672302787299334076647441336729462696243597321851816139549279029733090522239200362921906419168397560780515698252333458999257229223177071764715960911635897518125034092581402348296863744 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 500000000000000028928979971363484913696689344587520219086323712 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 24999999999999999511387443370378539864469097311681567978536495787528501346582068114817359808624495912355537149485987584604999250792110061096024322703761017576136195304236402081792 binary64)) #s(approx (/ (tan (/ x ( y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (sin.f64 #s(approx (+ (* -1/2 (/ x y)) (/ (PI) 2)) (/.f64 (.f64 #s(literal -1/2 binary64) (-.f64 x (.f64 (PI.f64) y))) 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 24999999999999999511387443370378539864469097311681567978536495787528501346582068114817359808624495912355537149485987584604999250792110061096024322703761017576136195304236402081792 binary64)) #s(approx (/ (tan (/ x ( y 2))) (sin (/ x (* y 2)))) (pow.f64 (sin.f64 #s(approx (+ (* -1/2 (/ x y)) (/ (PI) 2)) (/.f64 (.f64 #s(literal -1/2 binary64) (-.f64 x (.f64 (PI.f64) y))) 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 24999999999999999511387443370378539864469097311681567978536495787528501346582068114817359808624495912355537149485987584604999250792110061096024322703761017576136195304236402081792 binary64)) #s(approx (/ (tan (/ x ( y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (sin.f64 #s(approx (+ (* -1/2 (/ x y)) (/ (PI) 2)) (.f64 #s(literal -1/2 binary64) (-.f64 (/.f64 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 24999999999999999511387443370378539864469097311681567978536495787528501346582068114817359808624495912355537149485987584604999250792110061096024322703761017576136195304236402081792 binary64)) #s(approx (/ (tan (/ x ( y 2))) (sin (/ x (* y 2)))) (pow.f64 (sin.f64 #s(approx (+ (* -1/2 (/ x y)) (/ (PI) 2)) (.f64 #s(literal -1/2 binary64) (-.f64 (/.f64 x y) (PI.f64))))) #s(literal -1 binary64))) #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 499999999999999963556891209672302787299334076647441336729462696243597321851816139549279029733090522239200362921906419168397560780515698252333458999257229223177071764715960911635897518125034092581402348296863744 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 499999999999999963556891209672302787299334076647441336729462696243597321851816139549279029733090522239200362921906419168397560780515698252333458999257229223177071764715960911635897518125034092581402348296863744 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 500000000000000028928979971363484913696689344587520219086323712 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 500000000000000028928979971363484913696689344587520219086323712 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)

derivations1.6s (16.4%)

Memory

55.8MiB live, 775.1MiB allocated; 107ms collecting garbage

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	998	5161
1	3256	4842
0	8255	4605
0	37	196
0	62	196
1	174	196
2	943	196
0	8445	196
0	316	1576
1	1006	1536
2	4033	1498
0	8680	1395
0	492	3230
1	1543	3096
2	6134	3038
0	8240	2846
0	8	33
0	13	17
1	29	17
2	118	17
3	824	7
0	10401	7

Stop Event

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

Compiler

Compiled 222 to 64 computations (71.2% saved)

preprocess51.0ms (0.5%)

Memory: 31.0MiB live, 120.9MiB allocated; 10ms collecting garbage
Compiler: Compiled 770 to 312 computations (59.5% saved)

end0.0ms (0%)

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

start0.0ms (0%)

analyze270.0ms (2.8%)

sample2.0s (20.9%)

explain178.0ms (1.9%)

preprocess189.0ms (2%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify152.0ms (1.6%)

localize44.0ms (0.5%)

series29.0ms (0.3%)

simplify210.0ms (2.2%)

rewrite122.0ms (1.3%)

eval8.0ms (0.1%)

prune6.0ms (0.1%)

simplify111.0ms (1.2%)

localize362.0ms (3.8%)

series49.0ms (0.5%)

simplify280.0ms (2.9%)

rewrite194.0ms (2%)

eval54.0ms (0.6%)

prune42.0ms (0.4%)

simplify127.0ms (1.3%)

localize437.0ms (4.5%)

series68.0ms (0.7%)

simplify215.0ms (2.2%)

rewrite259.0ms (2.7%)

eval107.0ms (1.1%)

prune93.0ms (1%)

simplify122.0ms (1.3%)

localize915.0ms (9.5%)

series60.0ms (0.6%)

simplify250.0ms (2.6%)

rewrite238.0ms (2.5%)

eval436.0ms (4.5%)

prune92.0ms (1%)

regimes120.0ms (1.2%)

regimes5.0ms (0.1%)

regimes32.0ms (0.3%)

regimes3.0ms (0%)

regimes14.0ms (0.1%)

regimes10.0ms (0.1%)

bsearch1.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

simplify71.0ms (0.7%)

derivations1.6s (16.4%)

preprocess51.0ms (0.5%)

end0.0ms (0%)

Profiling