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

analyze318.0ms (3.2%)

Memory

29.5MiB live, 350.8MiB allocated; 46ms 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)

sample1.9s (18.7%)

Memory

37.7MiB live, 2 458.6MiB allocated; 503ms collecting garbage

Samples

1.0s	4 064×	1	valid
482.0ms	4 192×	0	valid

Precisions

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

ival-tan: 311.0ms (25.7% of total)

ival-div: 295.0ms (24.4% of total)

ival-sin: 281.0ms (23.2% of total)

ival-mult: 233.0ms (19.3% of total)

adjust: 74.0ms (6.1% of total)

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

exact: 6.0ms (0.5% of total)

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

Bogosity

explain166.0ms (1.7%)

Memory

-7.1MiB live, 278.9MiB allocated; 63ms collecting garbage

FPErrors

Click to see full error table

Ground Truth	Example	Underpredictions	Example	Subexpression
127	-	1	(-4.383724634133976e+81 -4.7385915720101525e+80)	`(tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))`
126	-	0	-	`(sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))`
26	-	0	-	`(/.f64 (tan.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))))`
0	-	0	-	`y`
0	-	0	-	`#s(literal 2 binary64)`
0	-	0	-	`(/.f64 x (*.f64 y #s(literal 2 binary64)))`
0	-	0	-	`x`
0	-	0	-	`(*.f64 y #s(literal 2 binary64))`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`sin.f64`	`(sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))`	sensitivity	102	0
`tan.f64`	`(tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))`	sensitivity	102	0
`/.f64`	`(/.f64 (tan.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))))`	u/u	26	0
↳	`(/.f64 x (*.f64 y #s(literal 2 binary64)))`	underflow	26
↳	`(tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))`	underflow	26
↳	`(/.f64 x (*.f64 y #s(literal 2 binary64)))`	underflow	26
↳	`(sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))`	underflow	26
`sin.f64`	`(sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))`	oflow-rescue	24	0
↳	`(/.f64 x (*.f64 y #s(literal 2 binary64)))`	overflow	24
`tan.f64`	`(tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))`	oflow-rescue	24	0
↳	`(/.f64 x (*.f64 y #s(literal 2 binary64)))`	overflow	24

Confusion

	Predicted +	Predicted -
+	152	1
-	0	103

Precision

1.0

Recall

0.9934640522875817

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	152	0	1
-	0	0	103

Precision?

1.0

Recall?

0.9934640522875817

Freqs

test

number	freq
0	104
1	26
2	126

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

55.0ms	248×	1	valid
35.0ms	264×	0	valid

Compiler

Compiled 89 to 28 computations (68.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 64.0ms

ival-sin: 23.0ms (36% of total)

ival-tan: 21.0ms (32.9% of total)

ival-div: 10.0ms (15.7% of total)

adjust: 5.0ms (7.8% of total)

ival-mult: 4.0ms (6.3% of total)

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

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

exact: 0.0ms (0% of total)

preprocess242.0ms (2.4%)

Memory

-2.1MiB live, 231.1MiB allocated; 65ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Calls

Call 1

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

Outputs

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

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

Symmetry

(abs y)

(abs x)

Compiler

Compiled 13 to 8 computations (38.5% saved)

eval0.0ms (0%)

Memory: 0.4MiB live, 0.4MiB allocated; 0ms collecting garbage
Compiler: Compiled 0 to 2 computations (-∞% saved)

prune0.0ms (0%)

Memory

2.2MiB live, 2.2MiB allocated; 0ms collecting garbage

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	46.5%	(/.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)

simplify178.0ms (1.8%)

Memory

-7.5MiB live, 212.3MiB allocated; 109ms collecting garbage

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Calls

Call 1

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

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

localize53.0ms (0.5%)

Memory

-13.6MiB live, 77.9MiB allocated; 10ms collecting garbage

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.0	(*.f64 y #s(literal 2 binary64))
accuracy	6.453196527321458	(/.f64 (tan.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))))
accuracy	27.888873473042256	(tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))
accuracy	28.177355173366077	(sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))

Samples

26.0ms	124×	1	valid
20.0ms	132×	0	valid

Compiler

Compiled 38 to 10 computations (73.7% saved)

Precisions

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

ival-div: 8.0ms (32.9% of total)

ival-sin: 6.0ms (24.7% of total)

ival-tan: 6.0ms (24.7% of total)

adjust: 2.0ms (8.2% of total)

ival-mult: 2.0ms (8.2% of total)

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

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

exact: 0.0ms (0% of total)

series39.0ms (0.4%)

Memory

-7.5MiB live, 49.9MiB allocated; 5ms 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
27.0ms	y	@	inf	((/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (tan (/ x (* y 2))) (/ x (* y 2)) (* y 2) (sin (/ x (* y 2))))
4.0ms	y	@	-inf	((/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (tan (/ x (* y 2))) (/ x (* y 2)) (* y 2) (sin (/ x (* y 2))))
2.0ms	x	@	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))))

simplify224.0ms (2.2%)

Memory

12.1MiB live, 280.0MiB allocated; 52ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	iter limit
1×	node limit

Counts

33 → 33

Calls

Call 1

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

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

rewrite122.0ms (1.2%)

Memory

23.0MiB live, 254.7MiB allocated; 42ms 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)

eval62.0ms (0.6%)

Memory: -30.8MiB live, 88.7MiB allocated; 18ms collecting garbage
Compiler: Compiled 2 105 to 381 computations (81.9% saved)

prune6.0ms (0.1%)

Memory

17.5MiB live, 17.5MiB allocated; 0ms collecting garbage

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	47	8	55
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	47	9	56

Accuracy

61.2%

Counts

56 → 9

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)))))
✓	46.5%	(/.f64 (tan.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))))
▶	46.3%	(/.f64 (tan.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) #s(approx (sin (/ x ( y 2))) (sin.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x))))
▶	46.3%	(/.f64 #s(approx (tan (/ x (* y 2))) (/.f64 (sin.f64 (.f64 (/.f64 #s(literal 1/2 binary64) y) x)) (cos.f64 (.f64 (/.f64 #s(literal 1/2 binary64) y) x)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
	40.7%	(/.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)))))
▶	49.8%	#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)))
▶	56.8%	#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x))))
	55.5%	#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(literal 1 binary64))
▶	3.1%	#s(literal 0 binary64)

Compiler

Compiled 295 to 214 computations (27.5% saved)

simplify127.0ms (1.3%)

Memory

-8.5MiB live, 135.8MiB allocated; 7ms collecting garbage

Algorithm

1×	egg-herbie

Localize:

Found 16 expressions of interest:

New	Metric	Score	Program
cost-diff	0	(sin.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x))
cost-diff	0	(/.f64 (sin.f64 (.f64 (/.f64 #s(literal 1/2 binary64) y) x)) (cos.f64 (.f64 (/.f64 #s(literal 1/2 binary64) y) x)))
cost-diff	0	#s(approx (tan (/ x (* y 2))) (/.f64 (sin.f64 (.f64 (/.f64 #s(literal 1/2 binary64) y) x)) (cos.f64 (.f64 (/.f64 #s(literal 1/2 binary64) y) x))))
cost-diff	0	(/.f64 #s(approx (tan (/ x (* y 2))) (/.f64 (sin.f64 (.f64 (/.f64 #s(literal 1/2 binary64) y) x)) (cos.f64 (.f64 (/.f64 #s(literal 1/2 binary64) y) x)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
cost-diff	0	(*.f64 y #s(literal 2 binary64))
cost-diff	0	(/.f64 x (*.f64 y #s(literal 2 binary64)))
cost-diff	0	(tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))
cost-diff	0	(/.f64 (tan.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) #s(approx (sin (/ x ( y 2))) (sin.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x))))
cost-diff	0	(/.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	32	261
0	52	261
1	79	261
2	151	261
3	356	261
4	756	261
5	1259	261
6	2058	261
7	3359	261
8	4619	261
9	7187	261
0	8172	261

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

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

localize169.0ms (1.7%)

Memory

-15.5MiB live, 170.1MiB allocated; 25ms collecting garbage

Localize:

Found 16 expressions of interest:

New	Metric	Score
accuracy	6.453196527321458	(/.f64 #s(approx (tan (/ x (* y 2))) (/.f64 (sin.f64 (.f64 (/.f64 #s(literal 1/2 binary64) y) x)) (cos.f64 (.f64 (/.f64 #s(literal 1/2 binary64) y) x)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
accuracy	27.695774486084613	(cos.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x))
accuracy	28.177355173366077	(sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))
accuracy	28.177355173366077	(sin.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x))
accuracy	0.1953125	(*.f64 (/.f64 #s(literal 1/2 binary64) y) x)
accuracy	6.453196527321458	(/.f64 (tan.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) #s(approx (sin (/ x ( y 2))) (sin.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x))))
accuracy	27.888873473042256	(tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))
accuracy	28.177355173366077	(sin.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x))
accuracy	0.0	(*.f64 x x)
accuracy	2.4886547623445217	(fma.f64 (/.f64 #s(literal 1/8 binary64) y) (/.f64 (*.f64 x x) y) #s(literal 1 binary64))
accuracy	7.592734742226765	(/.f64 (*.f64 x x) y)
accuracy	31.1515055001369	#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	0.11328125	(/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)))
accuracy	0.1953125	(*.f64 (/.f64 #s(literal 1/2 binary64) y) x)
accuracy	27.695774486084613	(cos.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x))

Samples

85.0ms	124×	1	valid
23.0ms	132×	0	valid

Compiler

Compiled 202 to 25 computations (87.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 82.0ms

ival-mult: 34.0ms (41.6% of total)

ival-div: 17.0ms (20.8% of total)

ival-sin: 11.0ms (13.5% of total)

ival-tan: 6.0ms (7.3% of total)

adjust: 5.0ms (6.1% of total)

ival-cos: 5.0ms (6.1% of total)

ival-add: 2.0ms (2.4% of total)

exact: 1.0ms (1.2% of total)

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

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

series20.0ms (0.2%)

Memory

27.1MiB live, 27.1MiB allocated; 0ms collecting garbage

Counts

18 → 47

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

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

Calls

6 calls:

Time	Variable		Point	Expression
6.0ms	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) (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (tan (/ x (* y 2))) (/ x (* y 2)) (* y 2) (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (tan (/ x (* y 2))) (/ (sin (* (/ 1/2 y) x)) (cos (* (/ 1/2 y) x))) (sin (* (/ 1/2 y) x)) (* x x) (sin (/ x (* y 2))))
3.0ms	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) (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (tan (/ x (* y 2))) (/ x (* y 2)) (* y 2) (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (tan (/ x (* y 2))) (/ (sin (* (/ 1/2 y) x)) (cos (* (/ 1/2 y) x))) (sin (* (/ 1/2 y) x)) (* x x) (sin (/ x (* y 2))))
3.0ms	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) (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (tan (/ x (* y 2))) (/ x (* y 2)) (* y 2) (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (tan (/ x (* y 2))) (/ (sin (* (/ 1/2 y) x)) (cos (* (/ 1/2 y) x))) (sin (* (/ 1/2 y) x)) (* x x) (sin (/ x (* y 2))))
3.0ms	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) (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (tan (/ x (* y 2))) (/ x (* y 2)) (* y 2) (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (tan (/ x (* y 2))) (/ (sin (* (/ 1/2 y) x)) (cos (* (/ 1/2 y) x))) (sin (* (/ 1/2 y) x)) (* x x) (sin (/ x (* y 2))))
2.0ms	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) (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (tan (/ x (* y 2))) (/ x (* y 2)) (* y 2) (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (tan (/ x (* y 2))) (/ (sin (* (/ 1/2 y) x)) (cos (* (/ 1/2 y) x))) (sin (* (/ 1/2 y) x)) (* x x) (sin (/ x (* y 2))))

simplify218.0ms (2.2%)

Memory

5.2MiB live, 138.5MiB allocated; 22ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	367	1811
1	1177	1763
2	4715	1725
0	8198	1606

Stop Event

1×	iter limit
1×	node limit

Counts

47 → 47

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 (+ (* 1/24 (/ (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))))
(pow x 2)
(/ 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)))))
(/ (sin (* 1/2 (/ x y))) (cos (* 1/2 (/ x y))))
(sin (* 1/2 (/ x y)))
(/ (+ (* 1/8 (pow x 2)) (pow y 2)) (pow y 2))
(/ 1/8 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 (* -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)) (* -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 (*.f64 #s(literal 1/8 binary64) x) y) (/.f64 x y) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (+ (* 5/384 (/ (pow x 2) (pow y 4))) (* 1/8 (/ 1 (pow y 2))))))
(fma.f64 (fma.f64 (.f64 (/.f64 #s(literal 5/384 binary64) (pow.f64 y #s(literal 4 binary64))) x) x (/.f64 #s(literal 1/8 binary64) (.f64 y y))) (*.f64 x x) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (+ (* (pow x 2) (+ (* 61/46080 (/ (pow x 2) (pow y 6))) (* 5/384 (/ 1 (pow y 4))))) (* 1/8 (/ 1 (pow y 2))))))
(fma.f64 (pow.f64 x #s(literal 4 binary64)) (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)))) (fma.f64 (/.f64 (.f64 #s(literal 1/8 binary64) x) y) (/.f64 x y) #s(literal 1 binary64)))
(+ 1 (* -1/8 (/ (pow x 2) (pow y 2))))
(fma.f64 (/.f64 (*.f64 #s(literal -1/8 binary64) x) y) (/.f64 x y) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (- (* 1/384 (/ (pow x 2) (pow y 4))) (* 1/8 (/ 1 (pow y 2))))))
(fma.f64 (fma.f64 (.f64 (/.f64 #s(literal 1/384 binary64) (pow.f64 y #s(literal 4 binary64))) x) x (/.f64 #s(literal -1/8 binary64) (.f64 y y))) (*.f64 x x) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ (* -1/46080 (/ (pow x 2) (pow y 6))) (* 1/384 (/ 1 (pow y 4))))) (* 1/8 (/ 1 (pow y 2))))))
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/46080 binary64) (.f64 x (/.f64 x (pow.f64 y #s(literal 6 binary64)))) (/.f64 #s(literal 1/384 binary64) (pow.f64 y #s(literal 4 binary64)))) (.f64 x x) (/.f64 #s(literal -1/8 binary64) (.f64 y y))) (.f64 x x) #s(literal 1 binary64))
(* 1/2 (/ x y))
(*.f64 (/.f64 #s(literal 1/2 binary64) y) x)
(/ (pow x 2) y)
(*.f64 x (/.f64 x y))
(* x (+ (* 1/24 (/ (pow x 2) (pow y 3))) (* 1/2 (/ 1 y))))
(fma.f64 (/.f64 #s(literal 1/2 binary64) y) x (/.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/24 binary64)) (pow.f64 y #s(literal 3 binary64))))
(* x (+ (* (pow x 2) (+ (* 1/240 (/ (pow x 2) (pow y 5))) (* 1/24 (/ 1 (pow y 3))))) (* 1/2 (/ 1 y))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (.f64 (/.f64 #s(literal 1/240 binary64) (pow.f64 y #s(literal 5 binary64))) x) x (/.f64 #s(literal 1/24 binary64) (pow.f64 y #s(literal 3 binary64)))) (.f64 (/.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))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (fma.f64 (.f64 x (/.f64 x (pow.f64 y #s(literal 7 binary64)))) #s(literal 17/40320 binary64) (/.f64 #s(literal 1/240 binary64) (pow.f64 y #s(literal 5 binary64)))) (.f64 x x) (/.f64 #s(literal 1/24 binary64) (pow.f64 y #s(literal 3 binary64)))) (*.f64 (/.f64 #s(literal 1/2 binary64) y) x))
(* x (+ (* -1/48 (/ (pow x 2) (pow y 3))) (* 1/2 (/ 1 y))))
(.f64 (/.f64 (fma.f64 (/.f64 #s(literal -1/48 binary64) y) (.f64 x (/.f64 x y)) #s(literal 1/2 binary64)) y) x)
(* x (+ (* (pow x 2) (- (* 1/3840 (/ (pow x 2) (pow y 5))) (* 1/48 (/ 1 (pow y 3))))) (* 1/2 (/ 1 y))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (.f64 (/.f64 #s(literal 1/3840 binary64) (pow.f64 y #s(literal 5 binary64))) x) x (/.f64 #s(literal -1/48 binary64) (pow.f64 y #s(literal 3 binary64)))) (.f64 (/.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))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (fma.f64 #s(literal -1/645120 binary64) (.f64 x (/.f64 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 (/.f64 #s(literal 1/2 binary64) y) x))
(pow x 2)
(*.f64 x x)
(/ 1 (cos (* 1/2 (/ x y))))
(/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)))
(cos (* 1/2 (/ x y)))
(cos.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x))
(* 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))
(/ (sin (* 1/2 (/ x y))) (cos (* 1/2 (/ x y))))
(/.f64 (sin.f64 (.f64 (/.f64 #s(literal 1/2 binary64) y) x)) (cos.f64 (.f64 (/.f64 #s(literal 1/2 binary64) y) x)))
(sin (* 1/2 (/ x y)))
(sin.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x))
(/ (+ (* 1/8 (pow x 2)) (pow y 2)) (pow y 2))
(fma.f64 (/.f64 (*.f64 #s(literal 1/8 binary64) x) y) (/.f64 x y) #s(literal 1 binary64))
(/ 1/8 y)
(/.f64 #s(literal 1/8 binary64) y)
(* 2 y)
(*.f64 #s(literal 2 binary64) 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 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/24 binary64)) x) (.f64 #s(literal -1/24 binary64) (.f64 x x))) (.f64 y y)))
(- (+ 1 (+ (* 2 (/ (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3))) (* x (pow y 2)))) (* 2 (/ (- (* 1/3840 (pow x 5)) (+ (* -1/8 (* (pow x 2) (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3))))) (* 1/768 (pow x 5)))) (* x (pow y 4)))))) (+ (* -1/24 (/ (* (pow x 2) (- (* 2 (/ (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3))) x)) (* -1/24 (pow x 2)))) (pow y 4))) (+ (* -1/24 (/ (pow x 2) (pow y 2))) (* 1/1920 (/ (pow x 4) (pow y 4))))))
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(/.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 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/24 binary64))) (pow.f64 x #s(literal 4 binary64)) (*.f64 #s(literal 1/92160 binary64) (pow.f64 x #s(literal 7 binary64)))) (pow.f64 y #s(literal 6 binary64))))))) (neg.f64 y))
(* -1 (/ (+ (* -1/2 x) (* 1/48 (/ (pow x 3) (pow y 2)))) y))
(.f64 (/.f64 (fma.f64 (/.f64 #s(literal -1/48 binary64) y) (.f64 x (/.f64 x 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))

rewrite179.0ms (1.8%)

Memory

-7.7MiB live, 133.5MiB allocated; 23ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	31	192
0	51	171
1	125	171
2	564	171
3	5590	171
0	8019	171

Stop Event

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

Counts

18 → 305

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

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

eval96.0ms (1%)

Memory: 20.4MiB live, 121.1MiB allocated; 34ms collecting garbage
Compiler: Compiled 18 358 to 1 894 computations (89.7% saved)

prune58.0ms (0.6%)

Memory

2.6MiB live, 94.0MiB allocated; 10ms collecting garbage

Pruning

47 alts after pruning (44 fresh and 3 done)

	Pruned	Kept	Total
New	440	43	483
Fresh	2	1	3
Picked	3	2	5
Done	0	1	1
Total	445	47	492

Accuracy

62.2%

Counts

492 → 47

Alt Table

Click to see full alt table

Status	Accuracy	Program
	8.6%	(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x y))) (sin.f64 (/.f64 x y))) #s(approx (sin (/ x (* y 2))) (sin.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x))))
	6.0%	(/.f64 (/.f64 (+.f64 (tan.f64 (/.f64 (/.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)) #s(literal 8 binary64)) (fma.f64 (PI.f64) (-.f64 (PI.f64) (/.f64 (/.f64 x #s(literal 2 binary64)) y)) (pow.f64 (/.f64 (/.f64 x #s(literal 2 binary64)) y) #s(literal 2 binary64))))) (tan.f64 (/.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) (fma.f64 (PI.f64) (-.f64 (PI.f64) (/.f64 (/.f64 x #s(literal 2 binary64)) y)) (pow.f64 (/.f64 (/.f64 x #s(literal 2 binary64)) y) #s(literal 2 binary64)))))) (-.f64 #s(literal 1 binary64) (.f64 (tan.f64 (/.f64 (/.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)) #s(literal 8 binary64)) (fma.f64 (PI.f64) (-.f64 (PI.f64) (/.f64 (/.f64 x #s(literal 2 binary64)) y)) (pow.f64 (/.f64 (/.f64 x #s(literal 2 binary64)) y) #s(literal 2 binary64))))) (tan.f64 (/.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) (fma.f64 (PI.f64) (-.f64 (PI.f64) (/.f64 (/.f64 x #s(literal 2 binary64)) y)) (pow.f64 (/.f64 (/.f64 x #s(literal 2 binary64)) y) #s(literal 2 binary64)))))))) #s(approx (sin (/ x ( y 2))) (sin.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x))))
	8.5%	(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (sin.f64 (/.f64 x y))) (/.f64 (cos.f64 (/.f64 x y)) (sin.f64 (/.f64 x y)))) #s(approx (sin (/ x (* y 2))) (sin.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x))))
▶	8.0%	(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x y))) (.f64 (sin.f64 (/.f64 x y)) #s(approx (sin (/ x ( y 2))) (sin.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)))))
	46.3%	(/.f64 (tan.f64 (/.f64 x (+.f64 y y))) #s(approx (sin (/ x (* y 2))) (sin.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x))))
✓	46.5%	(/.f64 (tan.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))))
	10.3%	(/.f64 (tan.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) #s(approx (sin (/ x ( y 2))) (fma.f64 (sin.f64 (.f64 (/.f64 #s(literal -1/2 binary64) y) x)) (cos.f64 (PI.f64)) (.f64 (cos.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)) (sin.f64 (PI.f64))))))
	9.1%	(/.f64 (tan.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) #s(approx (sin (/ x ( y 2))) (-.f64 (.f64 (sin.f64 (.f64 (/.f64 #s(literal -1/2 binary64) y) x)) (cos.f64 (PI.f64))) (.f64 (cos.f64 (.f64 (/.f64 #s(literal 1/2 binary64) y) x)) (sin.f64 (PI.f64))))))
	9.1%	(/.f64 (tan.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) #s(approx (sin (/ x ( y 2))) (-.f64 (.f64 (cos.f64 (.f64 (/.f64 #s(literal 1/2 binary64) y) x)) (cos.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)))) (.f64 (sin.f64 (.f64 (/.f64 #s(literal 1/2 binary64) y) x)) (sin.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)))))))
	9.2%	(/.f64 (tan.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) #s(approx (sin (/ x ( y 2))) (cos.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 x y) (/.f64 (PI.f64) #s(literal 2 binary64))))))
	7.9%	(/.f64 (tan.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) #s(approx (sin (/ x ( y 2))) (cos.f64 (+.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) y) x (/.f64 (PI.f64) #s(literal 2 binary64))) (PI.f64)))))
	8.3%	(/.f64 (tan.f64 (+.f64 (+.f64 (/.f64 (/.f64 x #s(literal 2 binary64)) y) (+.f64 (PI.f64) (PI.f64))) (PI.f64))) #s(approx (sin (/ x (* y 2))) (sin.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x))))
	45.9%	(/.f64 (sin.f64 (/.f64 x y)) (.f64 (+.f64 (cos.f64 (/.f64 x y)) #s(literal 1 binary64)) #s(approx (sin (/ x ( y 2))) (sin.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)))))
	10.3%	(/.f64 #s(approx (tan (/ x (* y 2))) (/.f64 (fma.f64 (sin.f64 (.f64 (/.f64 #s(literal -1/2 binary64) y) x)) (cos.f64 (PI.f64)) (.f64 (cos.f64 (.f64 (/.f64 #s(literal 1/2 binary64) y) x)) (sin.f64 (PI.f64)))) (cos.f64 (.f64 (/.f64 #s(literal 1/2 binary64) y) x)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
	8.3%	(/.f64 #s(approx (tan (/ x (* y 2))) (/.f64 (-.f64 (.f64 (sin.f64 (.f64 (/.f64 #s(literal -1/2 binary64) y) x)) (cos.f64 (PI.f64))) (.f64 (cos.f64 (.f64 (/.f64 #s(literal 1/2 binary64) y) x)) (sin.f64 (PI.f64)))) (cos.f64 (.f64 (/.f64 #s(literal 1/2 binary64) y) x)))) (sin.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))))
	8.3%	(/.f64 #s(approx (tan (/ x (* y 2))) (/.f64 (-.f64 (.f64 (cos.f64 (.f64 (/.f64 #s(literal 1/2 binary64) y) x)) (cos.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)))) (.f64 (sin.f64 (.f64 (/.f64 #s(literal 1/2 binary64) y) x)) (sin.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64))))) (cos.f64 (.f64 (/.f64 #s(literal 1/2 binary64) y) x)))) (sin.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))))
	9.3%	(/.f64 #s(approx (tan (/ x (* y 2))) (/.f64 (sin.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 x y) (PI.f64))) (cos.f64 (.f64 (/.f64 #s(literal 1/2 binary64) y) x)))) (sin.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))))
	45.3%	(/.f64 #s(approx (tan (/ x (* y 2))) (/.f64 (sin.f64 (.f64 (/.f64 #s(literal 1/2 binary64) y) x)) (fma.f64 (cos.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 x y) (PI.f64))) (cos.f64 (PI.f64)) (.f64 (sin.f64 (.f64 (/.f64 #s(literal -1/2 binary64) y) x)) (sin.f64 (PI.f64)))))) (sin.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))))
	46.0%	(/.f64 #s(approx (tan (/ x (* y 2))) (/.f64 (sin.f64 (.f64 (/.f64 #s(literal 1/2 binary64) y) x)) (sin.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 x y) (/.f64 (PI.f64) #s(literal 2 binary64)))))) (sin.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))))
	46.4%	(/.f64 #s(approx (tan (/ x (* y 2))) (/.f64 (sin.f64 (.f64 (/.f64 #s(literal 1/2 binary64) y) x)) (cos.f64 (/.f64 (.f64 #s(literal 1/2 binary64) x) y)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
	10.3%	(/.f64 #s(approx (tan (/ x (* y 2))) (/.f64 (sin.f64 (.f64 (/.f64 #s(literal 1/2 binary64) y) x)) (cos.f64 (.f64 (/.f64 #s(literal 1/2 binary64) y) x)))) (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)))))
	9.0%	(/.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)))) (fma.f64 (sin.f64 (/.f64 (/.f64 x #s(literal 2 binary64)) y)) (cos.f64 (+.f64 (PI.f64) (PI.f64))) (*.f64 (cos.f64 (/.f64 (/.f64 x y) #s(literal -2 binary64))) (sin.f64 (+.f64 (PI.f64) (PI.f64))))))
	9.3%	(/.f64 #s(approx (tan (/ x (* y 2))) (/.f64 (sin.f64 (.f64 (/.f64 #s(literal 1/2 binary64) y) x)) (cos.f64 (.f64 (/.f64 #s(literal 1/2 binary64) y) x)))) (sin.f64 (+.f64 (/.f64 (/.f64 x y) #s(literal -2 binary64)) (PI.f64))))
	7.9%	(/.f64 #s(approx (tan (/ x (* y 2))) (/.f64 (sin.f64 (.f64 (/.f64 #s(literal 1/2 binary64) y) x)) (cos.f64 (.f64 (/.f64 #s(literal 1/2 binary64) y) x)))) (cos.f64 (+.f64 (/.f64 (+.f64 (/.f64 x y) (PI.f64)) #s(literal 2 binary64)) (PI.f64))))
	45.3%	(/.f64 #s(approx (tan (/ x (* y 2))) (/.f64 (sin.f64 (.f64 (/.f64 #s(literal -1/2 binary64) y) x)) (cos.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 x y) (PI.f64))))) (sin.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))))
	9.9%	(/.f64 #s(approx (tan (/ x (* y 2))) (/.f64 (cos.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 x y) (/.f64 (PI.f64) #s(literal 2 binary64)))) (cos.f64 (.f64 (/.f64 #s(literal 1/2 binary64) y) x)))) (sin.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))))
	8.3%	(/.f64 #s(approx (tan (/ x (* y 2))) (tan.f64 (+.f64 (fma.f64 (/.f64 x y) #s(literal 1/2 binary64) (PI.f64)) (PI.f64)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
	51.3%	#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (fma.f64 (/.f64 (*.f64 (/.f64 #s(literal 1/8 binary64) y) x) y) x #s(literal 1 binary64)))
	47.1%	#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (fma.f64 (.f64 x x) (/.f64 #s(literal 1/8 binary64) (.f64 y y)) #s(literal 1 binary64)))
	54.1%	#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (pow.f64 (pow.f64 (cos.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)) #s(literal -1/2 binary64)) #s(literal 2 binary64)))
	55.7%	#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (pow.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (*.f64 (/.f64 #s(literal 1/2 binary64) y) x))))) #s(literal -1/2 binary64)))
	54.6%	#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (fma.f64 (sin.f64 (/.f64 (pow.f64 (.f64 (/.f64 #s(literal 1/2 binary64) y) x) #s(literal 3 binary64)) (fma.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (.f64 (/.f64 #s(literal 1/2 binary64) y) x)) (pow.f64 (.f64 (/.f64 #s(literal 1/2 binary64) y) x) #s(literal 2 binary64))))) (cos.f64 (/.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64)) (fma.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (.f64 (/.f64 #s(literal 1/2 binary64) y) x)) (pow.f64 (.f64 (/.f64 #s(literal 1/2 binary64) y) x) #s(literal 2 binary64))))) (.f64 (cos.f64 (/.f64 (pow.f64 (.f64 (/.f64 #s(literal 1/2 binary64) y) x) #s(literal 3 binary64)) (fma.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (.f64 (/.f64 #s(literal 1/2 binary64) y) x)) (pow.f64 (.f64 (/.f64 #s(literal 1/2 binary64) y) x) #s(literal 2 binary64))))) (sin.f64 (/.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64)) (fma.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (.f64 (/.f64 #s(literal 1/2 binary64) y) x)) (pow.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x) #s(literal 2 binary64)))))))))
▶	55.9%	#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 x y) (PI.f64))) (cos.f64 (PI.f64)) (.f64 (sin.f64 (.f64 (/.f64 #s(literal 1/2 binary64) y) x)) (sin.f64 (PI.f64))))))
	55.9%	#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 x y) (PI.f64))) (cos.f64 (PI.f64)) (.f64 (sin.f64 (.f64 (/.f64 #s(literal -1/2 binary64) y) x)) (sin.f64 (PI.f64))))))
	56.3%	#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))))))
▶	56.7%	#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (sin.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 x y) (/.f64 (PI.f64) #s(literal 2 binary64))))))
▶	56.3%	#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (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)))))
	56.4%	#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))))))
	56.6%	#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) x) y))))
	56.7%	#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 (fma.f64 (/.f64 x y) #s(literal 1/2 binary64) (PI.f64)) (PI.f64)))))
	56.6%	#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 x y) (PI.f64)) (PI.f64)))))
✓	56.8%	#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))))
	51.6%	#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) #s(approx (cos (* (/ 1/2 y) x)) (fma.f64 (/.f64 (*.f64 #s(literal -1/8 binary64) x) y) (/.f64 x y) #s(literal 1 binary64)))))
	55.9%	#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)))))
	54.1%	#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (exp.f64 (.f64 (log.f64 (cos.f64 (.f64 (/.f64 #s(literal 1/2 binary64) y) x))) #s(literal -1 binary64))))
▶	55.5%	#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(literal 1 binary64))
✓	3.1%	#s(literal 0 binary64)

Compiler

Compiled 2 966 to 1 858 computations (37.4% saved)

simplify103.0ms (1%)

Memory

-21.0MiB live, 119.5MiB allocated; 17ms collecting garbage

Algorithm

1×	egg-herbie

Localize:

Found 17 expressions of interest:

New	Metric	Score
cost-diff	1	(sin.f64 (PI.f64))
cost-diff	1	(cos.f64 (PI.f64))
cost-diff	4	(fma.f64 (cos.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 x y) (PI.f64))) (cos.f64 (PI.f64)) (.f64 (sin.f64 (.f64 (/.f64 #s(literal 1/2 binary64) y) x)) (sin.f64 (PI.f64))))
cost-diff	7	(.f64 (sin.f64 (.f64 (/.f64 #s(literal 1/2 binary64) y) x)) (sin.f64 (PI.f64)))
cost-diff	0	(/.f64 x y)
cost-diff	0	(cos.f64 (/.f64 x y))
cost-diff	0	(-.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x y)))
cost-diff	5	(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x y))) (.f64 (sin.f64 (/.f64 x y)) #s(approx (sin (/ x ( y 2))) (sin.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) (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)))))
cost-diff	1	(+.f64 (+.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) y) x (/.f64 (PI.f64) #s(literal 2 binary64))) (PI.f64)) (PI.f64))
cost-diff	2	(+.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) y) x (/.f64 (PI.f64) #s(literal 2 binary64))) (PI.f64))
cost-diff	4	(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)))
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	42	395
0	70	316
1	121	311
2	239	311
3	481	311
4	897	311
5	1997	311
6	4635	309
0	8067	306

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

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

localize728.0ms (7.3%)

Memory

35.6MiB live, 1 066.4MiB allocated; 161ms collecting garbage

Localize:

Found 17 expressions of interest:

New	Metric	Score
accuracy	0.1953125	(*.f64 (/.f64 #s(literal 1/2 binary64) y) x)
accuracy	28.112496507405687	(cos.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 x y) (PI.f64)))
accuracy	28.177355173366077	(sin.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x))
accuracy	61.92199421717352	(sin.f64 (PI.f64))
accuracy	17.84004457671025	(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x y))) (.f64 (sin.f64 (/.f64 x y)) #s(approx (sin (/ x ( y 2))) (sin.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)))))
accuracy	27.52788889567298	(sin.f64 (/.f64 x y))
accuracy	28.038388920748243	(cos.f64 (/.f64 x y))
accuracy	28.177355173366077	(sin.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x))
accuracy	0.015625	(+.f64 (+.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) y) x (/.f64 (PI.f64) #s(literal 2 binary64))) (PI.f64)) (PI.f64))
accuracy	0.09375	(fma.f64 (/.f64 #s(literal 1/2 binary64) y) x (/.f64 (PI.f64) #s(literal 2 binary64)))
accuracy	0.11328125	(/.f64 #s(literal 1 binary64) (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))))
accuracy	28.077520356221935	(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)))
accuracy	28.501169850968044	#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	0.01171875	(fma.f64 #s(literal -1/2 binary64) (/.f64 x y) (/.f64 (PI.f64) #s(literal 2 binary64)))
accuracy	0.11328125	(/.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	27.625748484918727	(sin.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 x y) (/.f64 (PI.f64) #s(literal 2 binary64))))

Samples

293.0ms	92×	2	valid
197.0ms	120×	1	valid
192.0ms	44×	3	valid

Compiler

Compiled 338 to 41 computations (87.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 617.0ms

ival-sin: 305.0ms (49.4% of total)

ival-cos: 94.0ms (15.2% of total)

adjust: 83.0ms (13.5% of total)

ival-div: 38.0ms (6.2% of total)

ival-tan: 36.0ms (5.8% of total)

ival-mult: 34.0ms (5.5% of total)

ival-add: 20.0ms (3.2% of total)

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

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

exact: 1.0ms (0.2% of total)

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

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

series61.0ms (0.6%)

Memory

13.0MiB live, 111.9MiB allocated; 20ms collecting garbage

Counts

23 → 145

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

Outputs
(sin (* 1/2 (PI)))
(+ (sin (* 1/2 (PI))) (* -1/2 (/ (* x (cos (* 1/2 (PI)))) y)))
(+ (sin (* 1/2 (PI))) (* x (+ (* -1/2 (/ (cos (* 1/2 (PI))) y)) (* -1/8 (/ (* x (sin (* 1/2 (PI)))) (pow y 2))))))
(+ (sin (* 1/2 (PI))) (* x (+ (* -1/2 (/ (cos (* 1/2 (PI))) y)) (* x (+ (* -1/8 (/ (sin (* 1/2 (PI))) (pow y 2))) (* 1/48 (/ (* x (cos (* 1/2 (PI)))) (pow y 3))))))))
1
(+ 1 (* 1/8 (/ (pow x 2) (pow y 2))))
(+ 1 (* (pow x 2) (+ (* 5/384 (/ (pow x 2) (pow y 4))) (* 1/8 (/ 1 (pow y 2))))))
(+ 1 (* (pow x 2) (+ (* (pow x 2) (+ (* 61/46080 (/ (pow x 2) (pow y 6))) (* 5/384 (/ 1 (pow y 4))))) (* 1/8 (/ 1 (pow y 2))))))
(/ 1 (sin (* 1/2 (PI))))
(+ (* 1/2 (/ (* x (cos (* 1/2 (PI)))) (* y (pow (sin (* 1/2 (PI))) 2)))) (/ 1 (sin (* 1/2 (PI)))))
(+ (* x (- (* x (- (* 1/8 (/ 1 (* (pow y 2) (sin (* 1/2 (PI)))))) (* -1/4 (/ (pow (cos (* 1/2 (PI))) 2) (* (pow y 2) (pow (sin (* 1/2 (PI))) 3)))))) (* -1/2 (/ (cos (* 1/2 (PI))) (* y (pow (sin (* 1/2 (PI))) 2)))))) (/ 1 (sin (* 1/2 (PI)))))
(+ (* x (- (* x (- (+ (* -1 (* x (+ (* -1/2 (/ (* (cos (* 1/2 (PI))) (- (* 1/8 (/ 1 (* (pow y 2) (sin (* 1/2 (PI)))))) (* -1/4 (/ (pow (cos (* 1/2 (PI))) 2) (* (pow y 2) (pow (sin (* 1/2 (PI))) 3)))))) (* y (sin (* 1/2 (PI)))))) (+ (* -1/16 (/ (cos (* 1/2 (PI))) (* (pow y 3) (pow (sin (* 1/2 (PI))) 2)))) (* 1/48 (/ (cos (* 1/2 (PI))) (* (pow y 3) (pow (sin (* 1/2 (PI))) 2)))))))) (* 1/8 (/ 1 (* (pow y 2) (sin (* 1/2 (PI))))))) (* -1/4 (/ (pow (cos (* 1/2 (PI))) 2) (* (pow y 2) (pow (sin (* 1/2 (PI))) 3)))))) (* -1/2 (/ (cos (* 1/2 (PI))) (* y (pow (sin (* 1/2 (PI))) 2)))))) (/ 1 (sin (* 1/2 (PI)))))
(* 1/2 (PI))
(+ (* -1/2 (/ x y)) (* 1/2 (PI)))
(sin (+ (* 1/2 (PI)) (* 2 (PI))))
(+ (sin (+ (* 1/2 (PI)) (* 2 (PI)))) (* 1/2 (/ (* x (cos (+ (* 1/2 (PI)) (* 2 (PI))))) y)))
(+ (sin (+ (* 1/2 (PI)) (* 2 (PI)))) (* x (+ (* -1/8 (/ (* x (sin (+ (* 1/2 (PI)) (* 2 (PI))))) (pow y 2))) (* 1/2 (/ (cos (+ (* 1/2 (PI)) (* 2 (PI)))) y)))))
(+ (sin (+ (* 1/2 (PI)) (* 2 (PI)))) (* x (+ (* 1/2 (/ (cos (+ (* 1/2 (PI)) (* 2 (PI)))) y)) (* x (+ (* -1/8 (/ (sin (+ (* 1/2 (PI)) (* 2 (PI)))) (pow y 2))) (* -1/48 (/ (* x (cos (+ (* 1/2 (PI)) (* 2 (PI))))) (pow y 3))))))))
(+ (PI) (* 1/2 (PI)))
(+ (PI) (+ (* 1/2 (PI)) (* 1/2 (/ x y))))
(+ (* 1/2 (PI)) (* 2 (PI)))
(+ (* 1/2 (PI)) (+ (* 1/2 (/ x y)) (* 2 (PI))))
(+ 1 (* (pow x 2) (+ (* (pow x 2) (+ (* 5/384 (/ 1 (pow y 4))) (* (pow x 2) (- (* 25/9216 (/ 1 (pow y 6))) (* 1/720 (/ 1 (pow y 6))))))) (* 1/8 (/ 1 (pow y 2))))))
(* 1/2 (/ (pow x 2) (pow y 2)))
(* (pow x 2) (+ (* -1/24 (/ (pow x 2) (pow y 4))) (* 1/2 (/ 1 (pow y 2)))))
(* (pow x 2) (+ (* (pow x 2) (- (* 1/720 (/ (pow x 2) (pow y 6))) (* 1/24 (/ 1 (pow y 4))))) (* 1/2 (/ 1 (pow y 2)))))
(* (pow x 2) (+ (* (pow x 2) (- (* (pow x 2) (+ (* -1/40320 (/ (pow x 2) (pow y 8))) (* 1/720 (/ 1 (pow y 6))))) (* 1/24 (/ 1 (pow y 4))))) (* 1/2 (/ 1 (pow y 2)))))
(+ 1 (* -1/2 (/ (pow x 2) (pow y 2))))
(+ 1 (* (pow x 2) (- (* 1/24 (/ (pow x 2) (pow y 4))) (* 1/2 (/ 1 (pow y 2))))))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ (* -1/720 (/ (pow x 2) (pow y 6))) (* 1/24 (/ 1 (pow y 4))))) (* 1/2 (/ 1 (pow y 2))))))
(/ x y)
(* 1/2 (/ (* x (sin (PI))) y))
(* x (+ (* -1/48 (/ (* (pow x 2) (sin (PI))) (pow y 3))) (* 1/2 (/ (sin (PI)) y))))
(* x (+ (* 1/2 (/ (sin (PI)) y)) (* (pow x 2) (+ (* -1/48 (/ (sin (PI)) (pow y 3))) (* 1/3840 (/ (* (pow x 2) (sin (PI))) (pow y 5)))))))
(* x (+ (* 1/2 (/ (sin (PI)) y)) (* (pow x 2) (+ (* -1/48 (/ (sin (PI)) (pow y 3))) (* (pow x 2) (+ (* -1/645120 (/ (* (pow x 2) (sin (PI))) (pow y 7))) (* 1/3840 (/ (sin (PI)) (pow y 5)))))))))
(pow (cos (PI)) 2)
(+ (* x (+ (* 1/2 (/ (sin (PI)) y)) (* 1/2 (/ (* (cos (PI)) (sin (PI))) y)))) (pow (cos (PI)) 2))
(+ (* x (+ (* -1/8 (/ (* x (pow (cos (PI)) 2)) (pow y 2))) (+ (* 1/2 (/ (sin (PI)) y)) (* 1/2 (/ (* (cos (PI)) (sin (PI))) y))))) (pow (cos (PI)) 2))
(+ (* x (+ (* 1/2 (/ (sin (PI)) y)) (+ (* 1/2 (/ (* (cos (PI)) (sin (PI))) y)) (* x (+ (* -1/8 (/ (pow (cos (PI)) 2) (pow y 2))) (* x (+ (* -1/48 (/ (sin (PI)) (pow y 3))) (* -1/48 (/ (* (cos (PI)) (sin (PI))) (pow y 3)))))))))) (pow (cos (PI)) 2))
(/ 1 (sin (+ (* 1/2 (PI)) (* 2 (PI)))))
(+ (* -1/2 (/ (* x (cos (+ (* 1/2 (PI)) (* 2 (PI))))) (* y (pow (sin (+ (* 1/2 (PI)) (* 2 (PI)))) 2)))) (/ 1 (sin (+ (* 1/2 (PI)) (* 2 (PI))))))
(+ (* x (- (* x (- (* 1/8 (/ 1 (* (pow y 2) (sin (+ (* 1/2 (PI)) (* 2 (PI))))))) (* -1/4 (/ (pow (cos (+ (* 1/2 (PI)) (* 2 (PI)))) 2) (* (pow y 2) (pow (sin (+ (* 1/2 (PI)) (* 2 (PI)))) 3)))))) (* 1/2 (/ (cos (+ (* 1/2 (PI)) (* 2 (PI)))) (* y (pow (sin (+ (* 1/2 (PI)) (* 2 (PI)))) 2)))))) (/ 1 (sin (+ (* 1/2 (PI)) (* 2 (PI))))))
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(* -1 (/ (+ (* -1/2 x) (* 1/48 (/ (pow x 3) (pow y 2)))) y))
(* -1 (/ (+ (* -1/2 x) (+ (* -1/3840 (/ (pow x 5) (pow y 4))) (* 1/48 (/ (pow x 3) (pow y 2))))) y))
(* -1 (/ (+ (* -1/2 x) (+ (* -1/3840 (/ (pow x 5) (pow y 4))) (+ (* 1/645120 (/ (pow x 7) (pow y 6))) (* 1/48 (/ (pow x 3) (pow y 2)))))) y))
(* -1 (/ (+ (* -1 x) (* 1/6 (/ (pow x 3) (pow y 2)))) y))
(* -1 (/ (+ (* -1 x) (+ (* -1/120 (/ (pow x 5) (pow y 4))) (* 1/6 (/ (pow x 3) (pow y 2))))) y))
(* -1 (/ (+ (* -1 x) (+ (* -1/120 (/ (pow x 5) (pow y 4))) (+ (* 1/5040 (/ (pow x 7) (pow y 6))) (* 1/6 (/ (pow x 3) (pow y 2)))))) y))
(+ (cos (PI)) (* -1 (/ (- (* 1/8 (/ (* (pow x 2) (cos (PI))) y)) (* 1/2 (* x (sin (PI))))) y)))
(+ (cos (PI)) (* -1 (/ (- (* -1 (/ (+ (* -1/8 (* (pow x 2) (cos (PI)))) (* -1/48 (/ (* (pow x 3) (sin (PI))) y))) y)) (* 1/2 (* x (sin (PI))))) y)))

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)))) (sin (+ (+ (+ (* (/ 1/2 y) x) (/ (PI) 2)) (PI)) (PI))) (+ (+ (* (/ 1/2 y) x) (/ (PI) 2)) (PI)) (+ (+ (+ (* (/ 1/2 y) x) (/ (PI) 2)) (PI)) (PI)) (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/ (- 1 (cos (/ x y))) (* (sin (/ x y)) (sin (/ x (* y 2))))) (- 1 (cos (/ x y))) (cos (/ x y)) (/ x y) (* (sin (* (/ 1/2 y) x)) (sin (PI))) (+ (* (cos (+ (* -1/2 (/ x y)) (PI))) (cos (PI))) (* (sin (* (/ 1/2 y) x)) (sin (PI)))) (cos (PI)) (sin (PI)) (/ 1 (sin (+ (+ (+ (* (/ 1/2 y) x) (/ (PI) 2)) (PI)) (PI)))) (+ (* (/ 1/2 y) x) (/ (PI) 2)) (sin (* (/ 1/2 y) x)) (sin (/ x y)) (cos (+ (* -1/2 (/ x y)) (PI))) (* (/ 1/2 y) x))
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)))) (sin (+ (+ (+ (* (/ 1/2 y) x) (/ (PI) 2)) (PI)) (PI))) (+ (+ (* (/ 1/2 y) x) (/ (PI) 2)) (PI)) (+ (+ (+ (* (/ 1/2 y) x) (/ (PI) 2)) (PI)) (PI)) (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/ (- 1 (cos (/ x y))) (* (sin (/ x y)) (sin (/ x (* y 2))))) (- 1 (cos (/ x y))) (cos (/ x y)) (/ x y) (* (sin (* (/ 1/2 y) x)) (sin (PI))) (+ (* (cos (+ (* -1/2 (/ x y)) (PI))) (cos (PI))) (* (sin (* (/ 1/2 y) x)) (sin (PI)))) (cos (PI)) (sin (PI)) (/ 1 (sin (+ (+ (+ (* (/ 1/2 y) x) (/ (PI) 2)) (PI)) (PI)))) (+ (* (/ 1/2 y) x) (/ (PI) 2)) (sin (* (/ 1/2 y) x)) (sin (/ x y)) (cos (+ (* -1/2 (/ x y)) (PI))) (* (/ 1/2 y) x))
9.0ms	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)))) (sin (+ (+ (+ (* (/ 1/2 y) x) (/ (PI) 2)) (PI)) (PI))) (+ (+ (* (/ 1/2 y) x) (/ (PI) 2)) (PI)) (+ (+ (+ (* (/ 1/2 y) x) (/ (PI) 2)) (PI)) (PI)) (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/ (- 1 (cos (/ x y))) (* (sin (/ x y)) (sin (/ x (* y 2))))) (- 1 (cos (/ x y))) (cos (/ x y)) (/ x y) (* (sin (* (/ 1/2 y) x)) (sin (PI))) (+ (* (cos (+ (* -1/2 (/ x y)) (PI))) (cos (PI))) (* (sin (* (/ 1/2 y) x)) (sin (PI)))) (cos (PI)) (sin (PI)) (/ 1 (sin (+ (+ (+ (* (/ 1/2 y) x) (/ (PI) 2)) (PI)) (PI)))) (+ (* (/ 1/2 y) x) (/ (PI) 2)) (sin (* (/ 1/2 y) x)) (sin (/ x y)) (cos (+ (* -1/2 (/ x y)) (PI))) (* (/ 1/2 y) x))
6.0ms	y	@	-inf	((sin (+ (* -1/2 (/ x y)) (/ (PI) 2))) (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/ 1 (sin (+ (* -1/2 (/ x y)) (/ (PI) 2)))) (+ (* -1/2 (/ x y)) (/ (PI) 2)) (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (sin (+ (+ (+ (* (/ 1/2 y) x) (/ (PI) 2)) (PI)) (PI))) (+ (+ (* (/ 1/2 y) x) (/ (PI) 2)) (PI)) (+ (+ (+ (* (/ 1/2 y) x) (/ (PI) 2)) (PI)) (PI)) (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/ (- 1 (cos (/ x y))) (* (sin (/ x y)) (sin (/ x (* y 2))))) (- 1 (cos (/ x y))) (cos (/ x y)) (/ x y) (* (sin (* (/ 1/2 y) x)) (sin (PI))) (+ (* (cos (+ (* -1/2 (/ x y)) (PI))) (cos (PI))) (* (sin (* (/ 1/2 y) x)) (sin (PI)))) (cos (PI)) (sin (PI)) (/ 1 (sin (+ (+ (+ (* (/ 1/2 y) x) (/ (PI) 2)) (PI)) (PI)))) (+ (* (/ 1/2 y) x) (/ (PI) 2)) (sin (* (/ 1/2 y) x)) (sin (/ x y)) (cos (+ (* -1/2 (/ x y)) (PI))) (* (/ 1/2 y) x))
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)))) (sin (+ (+ (+ (* (/ 1/2 y) x) (/ (PI) 2)) (PI)) (PI))) (+ (+ (* (/ 1/2 y) x) (/ (PI) 2)) (PI)) (+ (+ (+ (* (/ 1/2 y) x) (/ (PI) 2)) (PI)) (PI)) (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/ (- 1 (cos (/ x y))) (* (sin (/ x y)) (sin (/ x (* y 2))))) (- 1 (cos (/ x y))) (cos (/ x y)) (/ x y) (* (sin (* (/ 1/2 y) x)) (sin (PI))) (+ (* (cos (+ (* -1/2 (/ x y)) (PI))) (cos (PI))) (* (sin (* (/ 1/2 y) x)) (sin (PI)))) (cos (PI)) (sin (PI)) (/ 1 (sin (+ (+ (+ (* (/ 1/2 y) x) (/ (PI) 2)) (PI)) (PI)))) (+ (* (/ 1/2 y) x) (/ (PI) 2)) (sin (* (/ 1/2 y) x)) (sin (/ x y)) (cos (+ (* -1/2 (/ x y)) (PI))) (* (/ 1/2 y) x))

simplify224.0ms (2.2%)

Memory

-1.4MiB live, 246.0MiB allocated; 91ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	986	4414
1	3409	4034
0	8747	3831

Stop Event

1×	iter limit
1×	node limit

Counts

145 → 145

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)))
(sin (+ (* 1/2 (PI)) (* 2 (PI))))
(+ (sin (+ (* 1/2 (PI)) (* 2 (PI)))) (* 1/2 (/ (* x (cos (+ (* 1/2 (PI)) (* 2 (PI))))) y)))
(+ (sin (+ (* 1/2 (PI)) (* 2 (PI)))) (* x (+ (* -1/8 (/ (* x (sin (+ (* 1/2 (PI)) (* 2 (PI))))) (pow y 2))) (* 1/2 (/ (cos (+ (* 1/2 (PI)) (* 2 (PI)))) y)))))
(+ (sin (+ (* 1/2 (PI)) (* 2 (PI)))) (* x (+ (* 1/2 (/ (cos (+ (* 1/2 (PI)) (* 2 (PI)))) y)) (* x (+ (* -1/8 (/ (sin (+ (* 1/2 (PI)) (* 2 (PI)))) (pow y 2))) (* -1/48 (/ (* x (cos (+ (* 1/2 (PI)) (* 2 (PI))))) (pow y 3))))))))
(+ (PI) (* 1/2 (PI)))
(+ (PI) (+ (* 1/2 (PI)) (* 1/2 (/ x y))))
(+ (* 1/2 (PI)) (* 2 (PI)))
(+ (* 1/2 (PI)) (+ (* 1/2 (/ x y)) (* 2 (PI))))
(+ 1 (* (pow x 2) (+ (* (pow x 2) (+ (* 5/384 (/ 1 (pow y 4))) (* (pow x 2) (- (* 25/9216 (/ 1 (pow y 6))) (* 1/720 (/ 1 (pow y 6))))))) (* 1/8 (/ 1 (pow y 2))))))
(* 1/2 (/ (pow x 2) (pow y 2)))
(* (pow x 2) (+ (* -1/24 (/ (pow x 2) (pow y 4))) (* 1/2 (/ 1 (pow y 2)))))
(* (pow x 2) (+ (* (pow x 2) (- (* 1/720 (/ (pow x 2) (pow y 6))) (* 1/24 (/ 1 (pow y 4))))) (* 1/2 (/ 1 (pow y 2)))))
(* (pow x 2) (+ (* (pow x 2) (- (* (pow x 2) (+ (* -1/40320 (/ (pow x 2) (pow y 8))) (* 1/720 (/ 1 (pow y 6))))) (* 1/24 (/ 1 (pow y 4))))) (* 1/2 (/ 1 (pow y 2)))))
(+ 1 (* -1/2 (/ (pow x 2) (pow y 2))))
(+ 1 (* (pow x 2) (- (* 1/24 (/ (pow x 2) (pow y 4))) (* 1/2 (/ 1 (pow y 2))))))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ (* -1/720 (/ (pow x 2) (pow y 6))) (* 1/24 (/ 1 (pow y 4))))) (* 1/2 (/ 1 (pow y 2))))))
(/ x y)
(* 1/2 (/ (* x (sin (PI))) y))
(* x (+ (* -1/48 (/ (* (pow x 2) (sin (PI))) (pow y 3))) (* 1/2 (/ (sin (PI)) y))))
(* x (+ (* 1/2 (/ (sin (PI)) y)) (* (pow x 2) (+ (* -1/48 (/ (sin (PI)) (pow y 3))) (* 1/3840 (/ (* (pow x 2) (sin (PI))) (pow y 5)))))))
(* x (+ (* 1/2 (/ (sin (PI)) y)) (* (pow x 2) (+ (* -1/48 (/ (sin (PI)) (pow y 3))) (* (pow x 2) (+ (* -1/645120 (/ (* (pow x 2) (sin (PI))) (pow y 7))) (* 1/3840 (/ (sin (PI)) (pow y 5)))))))))
(pow (cos (PI)) 2)
(+ (* x (+ (* 1/2 (/ (sin (PI)) y)) (* 1/2 (/ (* (cos (PI)) (sin (PI))) y)))) (pow (cos (PI)) 2))
(+ (* x (+ (* -1/8 (/ (* x (pow (cos (PI)) 2)) (pow y 2))) (+ (* 1/2 (/ (sin (PI)) y)) (* 1/2 (/ (* (cos (PI)) (sin (PI))) y))))) (pow (cos (PI)) 2))
(+ (* x (+ (* 1/2 (/ (sin (PI)) y)) (+ (* 1/2 (/ (* (cos (PI)) (sin (PI))) y)) (* x (+ (* -1/8 (/ (pow (cos (PI)) 2) (pow y 2))) (* x (+ (* -1/48 (/ (sin (PI)) (pow y 3))) (* -1/48 (/ (* (cos (PI)) (sin (PI))) (pow y 3)))))))))) (pow (cos (PI)) 2))
(/ 1 (sin (+ (* 1/2 (PI)) (* 2 (PI)))))
(+ (* -1/2 (/ (* x (cos (+ (* 1/2 (PI)) (* 2 (PI))))) (* y (pow (sin (+ (* 1/2 (PI)) (* 2 (PI)))) 2)))) (/ 1 (sin (+ (* 1/2 (PI)) (* 2 (PI))))))
(+ (* x (- (* x (- (* 1/8 (/ 1 (* (pow y 2) (sin (+ (* 1/2 (PI)) (* 2 (PI))))))) (* -1/4 (/ (pow (cos (+ (* 1/2 (PI)) (* 2 (PI)))) 2) (* (pow y 2) (pow (sin (+ (* 1/2 (PI)) (* 2 (PI)))) 3)))))) (* 1/2 (/ (cos (+ (* 1/2 (PI)) (* 2 (PI)))) (* y (pow (sin (+ (* 1/2 (PI)) (* 2 (PI)))) 2)))))) (/ 1 (sin (+ (* 1/2 (PI)) (* 2 (PI))))))
(+ (* x (- (* x (- (+ (* -1 (* x (+ (* -1/48 (/ (cos (+ (* 1/2 (PI)) (* 2 (PI)))) (* (pow y 3) (pow (sin (+ (* 1/2 (PI)) (* 2 (PI)))) 2)))) (+ (* 1/16 (/ (cos (+ (* 1/2 (PI)) (* 2 (PI)))) (* (pow y 3) (pow (sin (+ (* 1/2 (PI)) (* 2 (PI)))) 2)))) (* 1/2 (/ (* (cos (+ (* 1/2 (PI)) (* 2 (PI)))) (- (* 1/8 (/ 1 (* (pow y 2) (sin (+ (* 1/2 (PI)) (* 2 (PI))))))) (* -1/4 (/ (pow (cos (+ (* 1/2 (PI)) (* 2 (PI)))) 2) (* (pow y 2) (pow (sin (+ (* 1/2 (PI)) (* 2 (PI)))) 3)))))) (* y (sin (+ (* 1/2 (PI)) (* 2 (PI))))))))))) (* 1/8 (/ 1 (* (pow y 2) (sin (+ (* 1/2 (PI)) (* 2 (PI)))))))) (* -1/4 (/ (pow (cos (+ (* 1/2 (PI)) (* 2 (PI)))) 2) (* (pow y 2) (pow (sin (+ (* 1/2 (PI)) (* 2 (PI)))) 3)))))) (* 1/2 (/ (cos (+ (* 1/2 (PI)) (* 2 (PI)))) (* y (pow (sin (+ (* 1/2 (PI)) (* 2 (PI)))) 2)))))) (/ 1 (sin (+ (* 1/2 (PI)) (* 2 (PI))))))
(+ (* 1/2 (PI)) (* 1/2 (/ x y)))
(* 1/2 (/ x y))
(* x (+ (* -1/48 (/ (pow x 2) (pow y 3))) (* 1/2 (/ 1 y))))
(* x (+ (* (pow x 2) (- (* 1/3840 (/ (pow x 2) (pow y 5))) (* 1/48 (/ 1 (pow y 3))))) (* 1/2 (/ 1 y))))
(* x (+ (* (pow x 2) (- (* (pow x 2) (+ (* -1/645120 (/ (pow x 2) (pow y 7))) (* 1/3840 (/ 1 (pow y 5))))) (* 1/48 (/ 1 (pow y 3))))) (* 1/2 (/ 1 y))))
(* 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)))
(cos (PI))
(+ (cos (PI)) (* 1/2 (/ (* x (sin (PI))) y)))
(+ (cos (PI)) (* x (- (* -1/8 (/ (* x (cos (PI))) (pow y 2))) (* -1/2 (/ (sin (PI)) y)))))
(+ (cos (PI)) (* x (- (* x (+ (* -1/8 (/ (cos (PI)) (pow y 2))) (* -1/48 (/ (* x (sin (PI))) (pow y 3))))) (* -1/2 (/ (sin (PI)) y)))))
(sin (- (* 1/2 (PI)) (* 1/2 (/ x y))))
(/ 1 (cos (* 1/2 (/ x y))))
(/ 1 (sin (- (* 1/2 (PI)) (* 1/2 (/ x y)))))
(* -1/2 (/ x y))
(* x (- (* 1/2 (/ (PI) x)) (* 1/2 (/ 1 y))))
(sin (+ (* 1/2 (PI)) (+ (* 1/2 (/ x y)) (* 2 (PI)))))
(* x (+ (* 1/2 (/ (PI) x)) (+ (* 1/2 (/ 1 y)) (/ (PI) x))))
(* x (+ (* 1/2 (/ (PI) x)) (+ (* 2 (/ (PI) x)) (* 1/2 (/ 1 y)))))
(/ (- 1 (cos (/ x y))) (* (sin (* 1/2 (/ x y))) (sin (/ x y))))
(- 1 (cos (/ x y)))
(cos (/ x y))
(* (sin (PI)) (sin (* 1/2 (/ x y))))
(+ (* (cos (PI)) (cos (- (PI) (* 1/2 (/ x y))))) (* (sin (PI)) (sin (* 1/2 (/ x y)))))
(/ 1 (sin (+ (* 1/2 (PI)) (+ (* 1/2 (/ x y)) (* 2 (PI))))))
(* x (+ (* 1/2 (/ (PI) x)) (* 1/2 (/ 1 y))))
(sin (* 1/2 (/ x y)))
(sin (/ x y))
(cos (- (PI) (* 1/2 (/ x y))))
(sin (+ (* -1/2 (/ x y)) (* 1/2 (PI))))
(/ 1 (sin (+ (* -1/2 (/ x y)) (* 1/2 (PI)))))
(* -1 (* x (+ (* -1/2 (/ (PI) x)) (* 1/2 (/ 1 y)))))
(sin (- (+ (* 1/2 (PI)) (* 2 (PI))) (* -1/2 (/ x y))))
(* -1 (* x (- (* -1 (/ (+ (PI) (* 1/2 (PI))) x)) (* 1/2 (/ 1 y)))))
(* -1 (* x (- (* -1 (/ (+ (* 1/2 (PI)) (* 2 (PI))) x)) (* 1/2 (/ 1 y)))))
(+ (* (cos (PI)) (cos (+ (PI) (* -1/2 (/ x y))))) (* (sin (PI)) (sin (* 1/2 (/ x y)))))
(/ 1 (sin (- (+ (* 1/2 (PI)) (* 2 (PI))) (* -1/2 (/ x y)))))
(* -1 (* x (- (* -1/2 (/ (PI) x)) (* 1/2 (/ 1 y)))))
(cos (+ (PI) (* -1/2 (/ x y))))
(/ (+ (* -1/2 x) (* 1/2 (* y (PI)))) y)
(/ (+ (* 1/2 x) (* y (+ (PI) (* 1/2 (PI))))) y)
(/ (+ (* 1/2 x) (* y (+ (* 1/2 (PI)) (* 2 (PI))))) y)
(/ (+ (* 1/2 x) (* 1/2 (* 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)))))))))
(+ (sin (+ (* 1/2 (PI)) (* 2 (PI)))) (+ (* -1/8 (/ (* (pow x 2) (sin (+ (* 1/2 (PI)) (* 2 (PI))))) (pow y 2))) (* 1/2 (/ (* x (cos (+ (* 1/2 (PI)) (* 2 (PI))))) y))))
(+ (sin (+ (* 1/2 (PI)) (* 2 (PI)))) (+ (* -1/8 (/ (* (pow x 2) (sin (+ (* 1/2 (PI)) (* 2 (PI))))) (pow y 2))) (+ (* -1/48 (/ (* (pow x 3) (cos (+ (* 1/2 (PI)) (* 2 (PI))))) (pow y 3))) (* 1/2 (/ (* x (cos (+ (* 1/2 (PI)) (* 2 (PI))))) y)))))
(- (+ 1 (* -1/12 (/ (pow x 2) (pow y 2)))) (* 2 (/ (+ (* -1/12 (pow x 4)) (* -1/48 (pow x 4))) (* (pow x 2) (pow y 2)))))
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(/ (+ (* -1/48 (/ (pow x 3) (pow y 2))) (* 1/2 x)) y)
(/ (+ (* -1/48 (/ (pow x 3) (pow y 2))) (+ (* 1/3840 (/ (pow x 5) (pow y 4))) (* 1/2 x))) y)
(/ (+ (* -1/48 (/ (pow x 3) (pow y 2))) (+ (* -1/645120 (/ (pow x 7) (pow y 6))) (+ (* 1/3840 (/ (pow x 5) (pow y 4))) (* 1/2 x)))) y)
(/ (+ x (* -1/6 (/ (pow x 3) (pow y 2)))) y)
(/ (+ x (+ (* -1/6 (/ (pow x 3) (pow y 2))) (* 1/120 (/ (pow x 5) (pow y 4))))) y)
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Outputs
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(+ (sin (* 1/2 (PI))) (* -1/2 (/ (* x (cos (* 1/2 (PI)))) y)))
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1
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#s(literal 1 binary64)
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(+.f64 (/.f64 (fma.f64 (/.f64 (*.f64 x x) y) #s(literal 1/8 binary64) #s(literal 0 binary64)) (neg.f64 y)) #s(literal 1 binary64))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* 1/48 (* (pow x 3) (sin (PI)))) (* 1/48 (* (pow x 3) (* (cos (PI)) (sin (PI)))))) y)) (* -1/8 (* (pow x 2) (pow (cos (PI)) 2)))) y)) (+ (* -1/2 (* x (sin (PI)))) (* -1/2 (* x (* (cos (PI)) (sin (PI))))))) y)) (pow (cos (PI)) 2))
(+.f64 (/.f64 (fma.f64 (/.f64 (fma.f64 (*.f64 x x) #s(literal -1/8 binary64) #s(literal 0 binary64)) y) #s(literal -1 binary64) #s(literal 0 binary64)) (neg.f64 y)) #s(literal 1 binary64))
(+ (* -1 (/ (- (+ (* -1/4 (/ (* (pow x 2) (pow (cos (+ (* 1/2 (PI)) (* 2 (PI)))) 2)) (* y (pow (sin (+ (* 1/2 (PI)) (* 2 (PI)))) 3)))) (* -1/8 (/ (pow x 2) (* y (sin (+ (* 1/2 (PI)) (* 2 (PI)))))))) (* -1/2 (/ (* x (cos (+ (* 1/2 (PI)) (* 2 (PI))))) (pow (sin (+ (* 1/2 (PI)) (* 2 (PI)))) 2)))) y)) (/ 1 (sin (+ (* 1/2 (PI)) (* 2 (PI))))))
(fma.f64 (/.f64 (fma.f64 (/.f64 #s(literal -1/8 binary64) (sin.f64 (.f64 (PI.f64) #s(literal 5/2 binary64)))) (/.f64 (.f64 x x) y) (fma.f64 (/.f64 #s(literal -1/4 binary64) y) (/.f64 (.f64 (pow.f64 (cos.f64 (.f64 (PI.f64) #s(literal -5/2 binary64))) #s(literal 2 binary64)) (.f64 x x)) (pow.f64 (sin.f64 (.f64 (PI.f64) #s(literal 5/2 binary64))) #s(literal 3 binary64))) (.f64 #s(literal 1/2 binary64) (.f64 x (/.f64 (cos.f64 (.f64 (PI.f64) #s(literal -5/2 binary64))) (pow.f64 (sin.f64 (.f64 (PI.f64) #s(literal 5/2 binary64))) #s(literal 2 binary64))))))) y) #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 (*.f64 (PI.f64) #s(literal 5/2 binary64)))))
(+ (* -1 (/ (- (* -1 (/ (- (+ (* -1/16 (/ (* (pow x 3) (cos (+ (* 1/2 (PI)) (* 2 (PI))))) (* y (pow (sin (+ (* 1/2 (PI)) (* 2 (PI)))) 2)))) (+ (* 1/48 (/ (* (pow x 3) (cos (+ (* 1/2 (PI)) (* 2 (PI))))) (* y (pow (sin (+ (* 1/2 (PI)) (* 2 (PI)))) 2)))) (* 1/2 (/ (* x (* (cos (+ (* 1/2 (PI)) (* 2 (PI)))) (+ (* -1/4 (/ (* (pow x 2) (pow (cos (+ (* 1/2 (PI)) (* 2 (PI)))) 2)) (pow (sin (+ (* 1/2 (PI)) (* 2 (PI)))) 3))) (* -1/8 (/ (pow x 2) (sin (+ (* 1/2 (PI)) (* 2 (PI))))))))) (* y (sin (+ (* 1/2 (PI)) (* 2 (PI))))))))) (+ (* -1/4 (/ (* (pow x 2) (pow (cos (+ (* 1/2 (PI)) (* 2 (PI)))) 2)) (pow (sin (+ (* 1/2 (PI)) (* 2 (PI)))) 3))) (* -1/8 (/ (pow x 2) (sin (+ (* 1/2 (PI)) (* 2 (PI)))))))) y)) (* -1/2 (/ (* x (cos (+ (* 1/2 (PI)) (* 2 (PI))))) (pow (sin (+ (* 1/2 (PI)) (* 2 (PI)))) 2)))) y)) (/ 1 (sin (+ (* 1/2 (PI)) (* 2 (PI))))))
(fma.f64 (/.f64 (fma.f64 (/.f64 (-.f64 (fma.f64 (.f64 (/.f64 (cos.f64 (.f64 (PI.f64) #s(literal -5/2 binary64))) (pow.f64 (sin.f64 (.f64 (PI.f64) #s(literal 5/2 binary64))) #s(literal 2 binary64))) (/.f64 (pow.f64 x #s(literal 3 binary64)) y)) #s(literal -1/24 binary64) (.f64 (/.f64 #s(literal 1/2 binary64) (sin.f64 (.f64 (PI.f64) #s(literal 5/2 binary64)))) (/.f64 (.f64 (.f64 (cos.f64 (.f64 (PI.f64) #s(literal -5/2 binary64))) x) (fma.f64 (/.f64 (.f64 (pow.f64 (cos.f64 (.f64 (PI.f64) #s(literal -5/2 binary64))) #s(literal 2 binary64)) (.f64 x x)) (pow.f64 (sin.f64 (.f64 (PI.f64) #s(literal 5/2 binary64))) #s(literal 3 binary64))) #s(literal -1/4 binary64) (/.f64 (.f64 (.f64 x x) #s(literal -1/8 binary64)) (sin.f64 (.f64 (PI.f64) #s(literal 5/2 binary64)))))) y))) (fma.f64 (/.f64 (.f64 (pow.f64 (cos.f64 (.f64 (PI.f64) #s(literal -5/2 binary64))) #s(literal 2 binary64)) (.f64 x x)) (pow.f64 (sin.f64 (.f64 (PI.f64) #s(literal 5/2 binary64))) #s(literal 3 binary64))) #s(literal -1/4 binary64) (/.f64 (.f64 (.f64 x x) #s(literal -1/8 binary64)) (sin.f64 (.f64 (PI.f64) #s(literal 5/2 binary64)))))) y) #s(literal -1 binary64) (.f64 #s(literal 1/2 binary64) (.f64 x (/.f64 (cos.f64 (.f64 (PI.f64) #s(literal -5/2 binary64))) (pow.f64 (sin.f64 (.f64 (PI.f64) #s(literal 5/2 binary64))) #s(literal 2 binary64)))))) y) #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 (*.f64 (PI.f64) #s(literal 5/2 binary64)))))
(* -1 (/ (+ (* -1/2 x) (* 1/48 (/ (pow x 3) (pow y 2)))) y))
(/.f64 (fma.f64 (/.f64 #s(literal 1/48 binary64) y) (/.f64 (pow.f64 x #s(literal 3 binary64)) y) (*.f64 #s(literal -1/2 binary64) x)) (neg.f64 y))
(* -1 (/ (+ (* -1/2 x) (+ (* -1/3840 (/ (pow x 5) (pow y 4))) (* 1/48 (/ (pow x 3) (pow y 2))))) y))
(/.f64 (fma.f64 (/.f64 #s(literal 1/48 binary64) y) (/.f64 (pow.f64 x #s(literal 3 binary64)) y) (fma.f64 #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 (/ (+ (* -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) (neg.f64 x)) (neg.f64 y))
(* -1 (/ (+ (* -1 x) (+ (* -1/120 (/ (pow x 5) (pow y 4))) (* 1/6 (/ (pow x 3) (pow y 2))))) y))
(/.f64 (fma.f64 (/.f64 #s(literal 1/6 binary64) y) (/.f64 (pow.f64 x #s(literal 3 binary64)) y) (fma.f64 #s(literal -1/120 binary64) (/.f64 (pow.f64 x #s(literal 5 binary64)) (pow.f64 y #s(literal 4 binary64))) (neg.f64 x))) (neg.f64 y))
(* -1 (/ (+ (* -1 x) (+ (* -1/120 (/ (pow x 5) (pow y 4))) (+ (* 1/5040 (/ (pow x 7) (pow y 6))) (* 1/6 (/ (pow x 3) (pow y 2)))))) y))
(/.f64 (fma.f64 #s(literal -1/120 binary64) (/.f64 (pow.f64 x #s(literal 5 binary64)) (pow.f64 y #s(literal 4 binary64))) (+.f64 (fma.f64 (/.f64 #s(literal 1/6 binary64) y) (/.f64 (pow.f64 x #s(literal 3 binary64)) y) (/.f64 (*.f64 #s(literal 1/5040 binary64) (pow.f64 x #s(literal 7 binary64))) (pow.f64 y #s(literal 6 binary64)))) (neg.f64 x))) (neg.f64 y))
(+ (cos (PI)) (* -1 (/ (- (* 1/8 (/ (* (pow x 2) (cos (PI))) y)) (* 1/2 (* x (sin (PI))))) y)))
(-.f64 #s(literal -1 binary64) (/.f64 (fma.f64 (/.f64 (*.f64 (neg.f64 x) x) y) #s(literal 1/8 binary64) #s(literal 0 binary64)) y))
(+ (cos (PI)) (* -1 (/ (- (* -1 (/ (+ (* -1/8 (* (pow x 2) (cos (PI)))) (* -1/48 (/ (* (pow x 3) (sin (PI))) y))) y)) (* 1/2 (* x (sin (PI))))) y)))
(-.f64 #s(literal -1 binary64) (/.f64 (fma.f64 (/.f64 (fma.f64 (*.f64 x x) #s(literal -1/8 binary64) #s(literal 0 binary64)) y) #s(literal -1 binary64) #s(literal 0 binary64)) (neg.f64 y)))

rewrite247.0ms (2.5%)

Memory

-3.9MiB live, 284.3MiB allocated; 38ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	40	247
0	67	194
1	260	189
2	2095	189
0	9716	188

Stop Event

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

Counts

23 → 781

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

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

eval158.0ms (1.6%)

Memory: 3.6MiB live, 190.4MiB allocated; 32ms collecting garbage
Compiler: Compiled 31 902 to 4 013 computations (87.4% saved)

prune113.0ms (1.1%)

Memory

-7.2MiB live, 196.1MiB allocated; 24ms collecting garbage

Pruning

76 alts after pruning (72 fresh and 4 done)

	Pruned	Kept	Total
New	650	43	693
Fresh	10	29	39
Picked	4	1	5
Done	0	3	3
Total	664	76	740

Accuracy

62.4%

Counts

740 → 76

Alt Table

Click to see full alt table

Status	Accuracy	Program
	8.6%	(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x y))) #s(approx (sin (/ x (* y 2))) (sin.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)))) (sin.f64 (/.f64 x y)))
	6.0%	(/.f64 (/.f64 (+.f64 (tan.f64 (/.f64 (/.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)) #s(literal 8 binary64)) (fma.f64 (PI.f64) (-.f64 (PI.f64) (/.f64 (/.f64 x #s(literal 2 binary64)) y)) (pow.f64 (/.f64 (/.f64 x #s(literal 2 binary64)) y) #s(literal 2 binary64))))) (tan.f64 (/.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) (fma.f64 (PI.f64) (-.f64 (PI.f64) (/.f64 (/.f64 x #s(literal 2 binary64)) y)) (pow.f64 (/.f64 (/.f64 x #s(literal 2 binary64)) y) #s(literal 2 binary64)))))) (-.f64 #s(literal 1 binary64) (.f64 (tan.f64 (/.f64 (/.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)) #s(literal 8 binary64)) (fma.f64 (PI.f64) (-.f64 (PI.f64) (/.f64 (/.f64 x #s(literal 2 binary64)) y)) (pow.f64 (/.f64 (/.f64 x #s(literal 2 binary64)) y) #s(literal 2 binary64))))) (tan.f64 (/.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) (fma.f64 (PI.f64) (-.f64 (PI.f64) (/.f64 (/.f64 x #s(literal 2 binary64)) y)) (pow.f64 (/.f64 (/.f64 x #s(literal 2 binary64)) y) #s(literal 2 binary64)))))))) #s(approx (sin (/ x ( y 2))) (sin.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x))))
	7.7%	(/.f64 (-.f64 (pow.f64 (.f64 #s(approx (sin (/ x ( y 2))) (sin.f64 (.f64 (/.f64 #s(literal 1/2 binary64) y) x))) (sin.f64 (/.f64 x y))) #s(literal -2 binary64)) (pow.f64 (/.f64 (cos.f64 (/.f64 x y)) (.f64 #s(approx (sin (/ x (* y 2))) (sin.f64 (.f64 (/.f64 #s(literal 1/2 binary64) y) x))) (sin.f64 (/.f64 x y)))) #s(literal 2 binary64))) (+.f64 (pow.f64 (.f64 #s(approx (sin (/ x (* y 2))) (sin.f64 (.f64 (/.f64 #s(literal 1/2 binary64) y) x))) (sin.f64 (/.f64 x y))) #s(literal -1 binary64)) (/.f64 (cos.f64 (/.f64 x y)) (.f64 #s(approx (sin (/ x (* y 2))) (sin.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x))) (sin.f64 (/.f64 x y))))))
	8.5%	(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (sin.f64 (/.f64 x y))) (/.f64 (cos.f64 (/.f64 x y)) (sin.f64 (/.f64 x y)))) #s(approx (sin (/ x (* y 2))) (sin.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x))))
	7.5%	(/.f64 (-.f64 #s(literal 1 binary64) (sin.f64 (+.f64 (/.f64 (neg.f64 x) y) (/.f64 (PI.f64) #s(literal 2 binary64))))) (.f64 (sin.f64 (/.f64 x y)) #s(approx (sin (/ x ( y 2))) (sin.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)))))
	7.5%	(/.f64 (-.f64 #s(literal 1 binary64) (sin.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 x y)))) (.f64 (sin.f64 (/.f64 x y)) #s(approx (sin (/ x ( y 2))) (sin.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)))))
	8.0%	(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x y))) (.f64 (sin.f64 (/.f64 x y)) #s(approx (sin (/ x ( y 2))) (sin.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) x) y)))))
	46.3%	(/.f64 (tan.f64 (/.f64 x (+.f64 y y))) #s(approx (sin (/ x (* y 2))) (sin.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x))))
✓	46.5%	(/.f64 (tan.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))))
	10.3%	(/.f64 (tan.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) #s(approx (sin (/ x ( y 2))) (fma.f64 (sin.f64 (.f64 (/.f64 #s(literal -1/2 binary64) y) x)) (cos.f64 (PI.f64)) (.f64 (cos.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)) (sin.f64 (PI.f64))))))
	9.1%	(/.f64 (tan.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) #s(approx (sin (/ x ( y 2))) (-.f64 (.f64 (sin.f64 (.f64 (/.f64 #s(literal -1/2 binary64) y) x)) (cos.f64 (PI.f64))) (.f64 (cos.f64 (.f64 (/.f64 #s(literal 1/2 binary64) y) x)) (sin.f64 (PI.f64))))))
	9.1%	(/.f64 (tan.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) #s(approx (sin (/ x ( y 2))) (-.f64 (.f64 (cos.f64 (.f64 (/.f64 #s(literal 1/2 binary64) y) x)) (cos.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)))) (.f64 (sin.f64 (.f64 (/.f64 #s(literal 1/2 binary64) y) x)) (sin.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)))))))
	9.2%	(/.f64 (tan.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) #s(approx (sin (/ x ( y 2))) (cos.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 x y) (/.f64 (PI.f64) #s(literal 2 binary64))))))
	7.9%	(/.f64 (tan.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) #s(approx (sin (/ x ( y 2))) (cos.f64 (+.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) y) x (/.f64 (PI.f64) #s(literal 2 binary64))) (PI.f64)))))
	8.3%	(/.f64 (tan.f64 (+.f64 (+.f64 (/.f64 (/.f64 x #s(literal 2 binary64)) y) (+.f64 (PI.f64) (PI.f64))) (PI.f64))) #s(approx (sin (/ x (* y 2))) (sin.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x))))
	45.9%	(/.f64 (sin.f64 (/.f64 x y)) (.f64 (+.f64 (cos.f64 (/.f64 x y)) #s(literal 1 binary64)) #s(approx (sin (/ x ( y 2))) (sin.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)))))
	8.3%	(/.f64 #s(approx (tan (/ x (* y 2))) (/.f64 (-.f64 (.f64 (sin.f64 (.f64 (/.f64 #s(literal -1/2 binary64) y) x)) (cos.f64 (PI.f64))) (.f64 (cos.f64 (.f64 (/.f64 #s(literal 1/2 binary64) y) x)) (sin.f64 (PI.f64)))) (cos.f64 (.f64 (/.f64 #s(literal 1/2 binary64) y) x)))) (sin.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))))
	8.3%	(/.f64 #s(approx (tan (/ x (* y 2))) (/.f64 (-.f64 (.f64 (cos.f64 (.f64 (/.f64 #s(literal 1/2 binary64) y) x)) (cos.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)))) (.f64 (sin.f64 (.f64 (/.f64 #s(literal 1/2 binary64) y) x)) (sin.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64))))) (cos.f64 (.f64 (/.f64 #s(literal 1/2 binary64) y) x)))) (sin.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))))
	45.3%	(/.f64 #s(approx (tan (/ x (* y 2))) (/.f64 (sin.f64 (.f64 (/.f64 #s(literal 1/2 binary64) y) x)) (fma.f64 (cos.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 x y) (PI.f64))) (cos.f64 (PI.f64)) (.f64 (sin.f64 (.f64 (/.f64 #s(literal -1/2 binary64) y) x)) (sin.f64 (PI.f64)))))) (sin.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))))
	46.0%	(/.f64 #s(approx (tan (/ x (* y 2))) (/.f64 (sin.f64 (.f64 (/.f64 #s(literal 1/2 binary64) y) x)) (sin.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 x y) (/.f64 (PI.f64) #s(literal 2 binary64)))))) (sin.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))))
	46.4%	(/.f64 #s(approx (tan (/ x (* y 2))) (/.f64 (sin.f64 (.f64 (/.f64 #s(literal 1/2 binary64) y) x)) (cos.f64 (/.f64 (.f64 #s(literal 1/2 binary64) x) y)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
	9.0%	(/.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)))) (fma.f64 (sin.f64 (/.f64 (/.f64 x #s(literal 2 binary64)) y)) (cos.f64 (+.f64 (PI.f64) (PI.f64))) (*.f64 (cos.f64 (/.f64 (/.f64 x y) #s(literal -2 binary64))) (sin.f64 (+.f64 (PI.f64) (PI.f64))))))
	9.3%	(/.f64 #s(approx (tan (/ x (* y 2))) (/.f64 (sin.f64 (.f64 (/.f64 #s(literal 1/2 binary64) y) x)) (cos.f64 (.f64 (/.f64 #s(literal 1/2 binary64) y) x)))) (sin.f64 (+.f64 (/.f64 (/.f64 x y) #s(literal -2 binary64)) (PI.f64))))
	7.9%	(/.f64 #s(approx (tan (/ x (* y 2))) (/.f64 (sin.f64 (.f64 (/.f64 #s(literal 1/2 binary64) y) x)) (cos.f64 (.f64 (/.f64 #s(literal 1/2 binary64) y) x)))) (cos.f64 (+.f64 (/.f64 (+.f64 (/.f64 x y) (PI.f64)) #s(literal 2 binary64)) (PI.f64))))
	45.3%	(/.f64 #s(approx (tan (/ x (* y 2))) (/.f64 (sin.f64 (.f64 (/.f64 #s(literal -1/2 binary64) y) x)) (cos.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 x y) (PI.f64))))) (sin.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))))
	9.9%	(/.f64 #s(approx (tan (/ x (* y 2))) (/.f64 (cos.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 x y) (/.f64 (PI.f64) #s(literal 2 binary64)))) (cos.f64 (.f64 (/.f64 #s(literal 1/2 binary64) y) x)))) (sin.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))))
	8.7%	(-.f64 (pow.f64 (.f64 #s(approx (sin (/ x ( y 2))) (sin.f64 (.f64 (/.f64 #s(literal 1/2 binary64) y) x))) (sin.f64 (/.f64 x y))) #s(literal -1 binary64)) (/.f64 (cos.f64 (/.f64 x y)) (.f64 #s(approx (sin (/ x (* y 2))) (sin.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x))) (sin.f64 (/.f64 x y)))))
	51.3%	#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (fma.f64 (/.f64 (*.f64 (/.f64 #s(literal 1/8 binary64) y) x) y) x #s(literal 1 binary64)))
▶	47.1%	#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (fma.f64 (.f64 x x) (/.f64 #s(literal 1/8 binary64) (.f64 y y)) #s(literal 1 binary64)))
	55.8%	#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (pow.f64 (pow.f64 (cos.f64 (*.f64 (/.f64 x y) #s(literal -1/2 binary64))) #s(literal 2 binary64)) #s(literal -1/2 binary64)))
	54.1%	#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (pow.f64 (pow.f64 (cos.f64 (*.f64 (/.f64 x y) #s(literal -1/2 binary64))) #s(literal -1/2 binary64)) #s(literal 2 binary64)))
	55.7%	#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (pow.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (*.f64 (/.f64 #s(literal 1/2 binary64) y) x))))) #s(literal -1/2 binary64)))
	55.1%	#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 (.f64 (sin.f64 (/.f64 (pow.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) y) x (/.f64 (PI.f64) #s(literal 2 binary64))) #s(literal 2 binary64)) (-.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) y) x (/.f64 (PI.f64) #s(literal 2 binary64))) (PI.f64)))) (cos.f64 (/.f64 (.f64 (PI.f64) (PI.f64)) (-.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) y) x (/.f64 (PI.f64) #s(literal 2 binary64))) (PI.f64))))) (.f64 (cos.f64 (/.f64 (pow.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) y) x (/.f64 (PI.f64) #s(literal 2 binary64))) #s(literal 2 binary64)) (-.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) y) x (/.f64 (PI.f64) #s(literal 2 binary64))) (PI.f64)))) (sin.f64 (/.f64 (.f64 (PI.f64) (PI.f64)) (-.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) y) x (/.f64 (PI.f64) #s(literal 2 binary64))) (PI.f64)))))) (cos.f64 (PI.f64)) (.f64 (sin.f64 (.f64 (/.f64 #s(literal 1/2 binary64) y) x)) (sin.f64 (PI.f64))))))
	56.0%	#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (fma.f64 (sin.f64 (-.f64 (.f64 (/.f64 x y) #s(literal -1/2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64)))) (cos.f64 (PI.f64)) (.f64 (sin.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)) (sin.f64 (PI.f64))))))
▶	56.4%	#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (fma.f64 (sin.f64 (+.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) y) x (/.f64 (PI.f64) #s(literal 2 binary64))) (PI.f64))) (cos.f64 (PI.f64)) (.f64 (sin.f64 (.f64 (/.f64 #s(literal 1/2 binary64) y) x)) (sin.f64 (PI.f64))))))
▶	56.8%	#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (fma.f64 (sin.f64 (.f64 (/.f64 #s(literal 1/2 binary64) y) x)) (cos.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)) (PI.f64))) (.f64 (cos.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)) (sin.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)) (PI.f64)))))))
	56.7%	#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (fma.f64 (sin.f64 (neg.f64 (fma.f64 (/.f64 x y) #s(literal -1/2 binary64) (/.f64 (PI.f64) #s(literal 2 binary64))))) (cos.f64 (PI.f64)) (.f64 (sin.f64 (.f64 (/.f64 #s(literal 1/2 binary64) y) x)) (sin.f64 (PI.f64))))))
	55.9%	#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 x y) (PI.f64))) (cos.f64 (PI.f64)) (.f64 (sin.f64 (.f64 (/.f64 #s(literal -1/2 binary64) y) x)) (sin.f64 (PI.f64))))))
▶	55.9%	#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 x y) (PI.f64))) #s(literal -1 binary64) (.f64 (sin.f64 (.f64 (/.f64 #s(literal 1/2 binary64) y) x)) (sin.f64 (PI.f64))))))
	54.5%	#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(approx (cos (+ (* -1/2 (/ x y)) (PI))) #s(literal -1 binary64)) (cos.f64 (PI.f64)) (.f64 (sin.f64 (.f64 (/.f64 #s(literal 1/2 binary64) y) x)) (sin.f64 (PI.f64))))))
	55.6%	#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (pow.f64 (cos.f64 (*.f64 (/.f64 x y) #s(literal -1/2 binary64))) #s(literal 2 binary64))) (cos.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) y) x (PI.f64))))))
	56.6%	#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (-.f64 (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 (PI.f64)))))))
	56.7%	#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (+.f64 (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 (PI.f64)))))))
	56.3%	#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (sin.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) y) x (/.f64 (PI.f64) #s(literal 2 binary64))))))
	54.1%	#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (sin.f64 (/.f64 (fma.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 (/.f64 x y) #s(literal 3 binary64)) (pow.f64 (PI.f64) #s(literal 3 binary64))) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)) (.f64 (fma.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64)) (-.f64 (.f64 (PI.f64) (PI.f64)) (.f64 (.f64 (/.f64 #s(literal 1/2 binary64) y) x) (PI.f64)))) (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) (.f64 (PI.f64) (PI.f64))))) (.f64 (fma.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64)) (-.f64 (.f64 (PI.f64) (PI.f64)) (.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x) (PI.f64)))) (-.f64 (/.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 (/.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 (/.f64 x y) #s(literal 3 binary64)) (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64))) (fma.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64)) (.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (.f64 (/.f64 x y) #s(literal -1/2 binary64)))))))))
	56.4%	#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (sin.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)))))
	54.7%	#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (sin.f64 (+.f64 (/.f64 (fma.f64 (fma.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64)) (.f64 (neg.f64 (PI.f64)) (PI.f64))) #s(literal 2 binary64) (.f64 (-.f64 (.f64 (/.f64 #s(literal 1/2 binary64) y) x) (PI.f64)) (PI.f64))) (.f64 (-.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x) (PI.f64)) #s(literal 2 binary64))) (PI.f64)))))
	56.1%	#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (sin.f64 (+.f64 (/.f64 (fma.f64 (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) (.f64 (PI.f64) (PI.f64))) y (.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)) (.f64 #s(literal 1/2 binary64) x))) (.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)) y)) (PI.f64)))))
	54.2%	#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (sin.f64 (+.f64 (/.f64 (pow.f64 (.f64 (/.f64 x y) #s(literal -1/2 binary64)) #s(literal 3 binary64)) (fma.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64)) (.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (.f64 (/.f64 x y) #s(literal -1/2 binary64)))))) (/.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))))))))))
	56.7%	#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (sin.f64 (+.f64 (+.f64 (fma.f64 (/.f64 x y) #s(literal -1/2 binary64) (/.f64 (PI.f64) #s(literal 2 binary64))) (PI.f64)) (PI.f64)))))
	56.3%	#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (sin.f64 (+.f64 (+.f64 (fma.f64 #s(literal 2 binary64) (PI.f64) (fma.f64 (/.f64 #s(literal 1/2 binary64) y) x (/.f64 (PI.f64) #s(literal 2 binary64)))) (PI.f64)) (PI.f64)))))
	51.1%	#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (sin.f64 (+.f64 (+.f64 (/.f64 (fma.f64 (pow.f64 (.f64 (/.f64 x y) #s(literal -1/2 binary64)) #s(literal 3 binary64)) (fma.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64)) (.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (fma.f64 (/.f64 x y) #s(literal -1/2 binary64) (/.f64 (PI.f64) #s(literal 2 binary64))))) (.f64 (fma.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64)) (.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (fma.f64 (/.f64 x y) #s(literal -1/2 binary64) (/.f64 (PI.f64) #s(literal 2 binary64))))) (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64)))) (pow.f64 (fma.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64)) (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (fma.f64 (/.f64 x y) #s(literal -1/2 binary64) (/.f64 (PI.f64) #s(literal 2 binary64))))) #s(literal 2 binary64))) (PI.f64)) (PI.f64)))))
▶	56.0%	#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))))))
	56.4%	#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (sin.f64 (neg.f64 (+.f64 (fma.f64 #s(literal 2 binary64) (PI.f64) (fma.f64 (/.f64 #s(literal 1/2 binary64) y) x (/.f64 (PI.f64) #s(literal 2 binary64)))) (PI.f64))))))
	56.0%	#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (sin.f64 #s(approx (+ (+ (+ (* (/ 1/2 y) x) (/ (PI) 2)) (PI)) (PI)) (fma.f64 (/.f64 x y) #s(literal 1/2 binary64) (*.f64 (PI.f64) #s(literal 5/2 binary64)))))))
	56.3%	#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)))))
	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)) (*.f64 (/.f64 x y) #s(literal -1/2 binary64))))))
	56.7%	#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)))))))
	56.6%	#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) x) y))))
	56.7%	#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 (fma.f64 (/.f64 x y) #s(literal 1/2 binary64) (PI.f64)) (PI.f64)))))
	56.6%	#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 (fma.f64 (/.f64 x y) #s(literal -1/2 binary64) (PI.f64)) (PI.f64)))))
	56.8%	#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 (+.f64 (fma.f64 #s(literal 2 binary64) (PI.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)))))
✓	56.8%	#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x))))
	49.5%	#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) #s(approx (+ (* (cos (+ (* -1/2 (/ x y)) (PI))) (cos (PI))) (* (sin (* (/ 1/2 y) x)) (sin (PI)))) (fma.f64 (fma.f64 (/.f64 #s(literal -1/8 binary64) (*.f64 y y)) x #s(literal 0 binary64)) x #s(literal 1 binary64)))))
	50.2%	#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) #s(approx (+ (* (cos (+ (* -1/2 (/ x y)) (PI))) (cos (PI))) (* (sin (* (/ 1/2 y) x)) (sin (PI)))) (fma.f64 (/.f64 #s(literal -1/8 binary64) y) (/.f64 (*.f64 x x) y) #s(literal 1 binary64)))))
	49.5%	#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) #s(approx (+ (* (cos (+ (* -1/2 (/ x y)) (PI))) (cos (PI))) (* (sin (* (/ 1/2 y) x)) (sin (PI)))) (fma.f64 (.f64 (/.f64 x (.f64 y y)) #s(literal -1/8 binary64)) x #s(literal 1 binary64)))))
	50.2%	#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) #s(approx (+ (* (cos (+ (* -1/2 (/ x y)) (PI))) (cos (PI))) (* (sin (* (/ 1/2 y) x)) (sin (PI)))) (+.f64 (/.f64 (fma.f64 (/.f64 (*.f64 x x) y) #s(literal 1/8 binary64) #s(literal 0 binary64)) (neg.f64 y)) #s(literal 1 binary64)))))
	52.0%	#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) #s(approx (sin (+ (* -1/2 (/ x y)) (/ (PI) 2))) (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)))))))
	51.6%	#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) #s(approx (cos (* (/ 1/2 y) x)) (fma.f64 (/.f64 (*.f64 #s(literal -1/8 binary64) x) y) (/.f64 x y) #s(literal 1 binary64)))))
	55.7%	#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal -1 binary64) (cos.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) y) x (PI.f64)))))
	55.9%	#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)))))
	51.7%	#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(approx (/ 1 (sin (+ (+ (+ (* (/ 1/2 y) x) (/ (PI) 2)) (PI)) (PI)))) (fma.f64 (/.f64 #s(literal -1/2 binary64) y) (.f64 x (/.f64 (cos.f64 (.f64 (PI.f64) #s(literal -5/2 binary64))) (pow.f64 (sin.f64 (.f64 (PI.f64) #s(literal 5/2 binary64))) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (sin.f64 (.f64 (PI.f64) #s(literal 5/2 binary64)))))))
	51.8%	#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(approx (/ 1 (sin (+ (* -1/2 (/ x y)) (/ (PI) 2)))) (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)))))))
✓	55.5%	#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(literal 1 binary64))
✓	3.1%	#s(literal 0 binary64)

Compiler

Compiled 5 635 to 3 436 computations (39% saved)

simplify137.0ms (1.4%)

Memory

-8.8MiB live, 83.5MiB allocated; 7ms collecting garbage

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	1	(cos.f64 (PI.f64))
cost-diff	4	(sin.f64 (+.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) y) x (/.f64 (PI.f64) #s(literal 2 binary64))) (PI.f64)))
cost-diff	4	(fma.f64 (sin.f64 (+.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) y) x (/.f64 (PI.f64) #s(literal 2 binary64))) (PI.f64))) (cos.f64 (PI.f64)) (.f64 (sin.f64 (.f64 (/.f64 #s(literal 1/2 binary64) y) x)) (sin.f64 (PI.f64))))
cost-diff	7	(.f64 (sin.f64 (.f64 (/.f64 #s(literal 1/2 binary64) y) x)) (sin.f64 (PI.f64)))
cost-diff	0	#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 x y) (PI.f64))) #s(literal -1 binary64) (.f64 (sin.f64 (.f64 (/.f64 #s(literal 1/2 binary64) y) x)) (sin.f64 (PI.f64))))))
cost-diff	1	(sin.f64 (PI.f64))
cost-diff	4	(fma.f64 (cos.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 x y) (PI.f64))) #s(literal -1 binary64) (.f64 (sin.f64 (.f64 (/.f64 #s(literal 1/2 binary64) y) x)) (sin.f64 (PI.f64))))
cost-diff	7	(.f64 (sin.f64 (.f64 (/.f64 #s(literal 1/2 binary64) y) x)) (sin.f64 (PI.f64)))
cost-diff	0	#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))))))
cost-diff	1	(neg.f64 (*.f64 (/.f64 x y) #s(literal -1/2 binary64)))
cost-diff	1	(+.f64 (neg.f64 (*.f64 (/.f64 x y) #s(literal -1/2 binary64))) (/.f64 (PI.f64) #s(literal 2 binary64)))
cost-diff	3	(sin.f64 (+.f64 (neg.f64 (*.f64 (/.f64 x y) #s(literal -1/2 binary64))) (/.f64 (PI.f64) #s(literal 2 binary64))))
cost-diff	0	(/.f64 #s(literal 1/8 binary64) (*.f64 y y))
cost-diff	0	(*.f64 x x)
cost-diff	0	(fma.f64 (.f64 x x) (/.f64 #s(literal 1/8 binary64) (.f64 y y)) #s(literal 1 binary64))
cost-diff	0	#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (fma.f64 (.f64 x x) (/.f64 #s(literal 1/8 binary64) (.f64 y y)) #s(literal 1 binary64)))
cost-diff	2	(+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)) (PI.f64))
cost-diff	5	(sin.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)) (PI.f64)))
cost-diff	5	(cos.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)) (PI.f64)))
cost-diff	8	(fma.f64 (sin.f64 (.f64 (/.f64 #s(literal 1/2 binary64) y) x)) (cos.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)) (PI.f64))) (.f64 (cos.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)) (sin.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)) (PI.f64)))))

Iterations

Useful iterations: 6 (0.0ms)

Iter	Nodes	Cost
0	53	585
0	93	522
1	181	378
2	426	362
3	996	362
4	2236	362
5	3719	362
6	5968	360
0	8217	360

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

Outputs
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (fma.f64 (sin.f64 (.f64 (/.f64 #s(literal 1/2 binary64) y) x)) (cos.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)) (PI.f64))) (.f64 (cos.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)) (sin.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)) (PI.f64)))))))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y)))))
(/.f64 #s(literal 1 binary64) (fma.f64 (sin.f64 (.f64 (/.f64 #s(literal 1/2 binary64) y) x)) (cos.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)) (PI.f64))) (.f64 (cos.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)) (sin.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)) (PI.f64))))))
(/.f64 #s(literal 1 binary64) (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)) (cos.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)) (PI.f64))) (.f64 (cos.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)) (sin.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)) (PI.f64)))))
(cos.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y)))
(sin.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x))
(*.f64 (/.f64 #s(literal 1/2 binary64) y) x)
(/.f64 #s(literal 1/2 binary64) y)
#s(literal 1/2 binary64)
y
x
(cos.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)) (PI.f64)))
#s(literal 0 binary64)
(+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)) (PI.f64))
(*.f64 #s(literal 5 binary64) (/.f64 (PI.f64) #s(literal 2 binary64)))
(+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64))
(*.f64 #s(literal 3 binary64) (/.f64 (PI.f64) #s(literal 2 binary64)))
(/.f64 (PI.f64) #s(literal 2 binary64))
(PI.f64)
#s(literal 2 binary64)
(.f64 (cos.f64 (.f64 (/.f64 #s(literal 1/2 binary64) y) x)) (sin.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)) (PI.f64))))
(cos.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y)))
(cos.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x))
(cos.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y)))
(sin.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)) (PI.f64)))
#s(literal 1 binary64)
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (fma.f64 (.f64 x x) (/.f64 #s(literal 1/8 binary64) (.f64 y y)) #s(literal 1 binary64)))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (fma.f64 (/.f64 #s(literal 1/8 binary64) (.f64 y y)) (.f64 x x) #s(literal 1 binary64)))
(fma.f64 (.f64 x x) (/.f64 #s(literal 1/8 binary64) (.f64 y y)) #s(literal 1 binary64))
(fma.f64 (/.f64 #s(literal 1/8 binary64) (.f64 y y)) (.f64 x x) #s(literal 1 binary64))
(*.f64 x x)
x
(/.f64 #s(literal 1/8 binary64) (*.f64 y y))
#s(literal 1/8 binary64)
(*.f64 y y)
y
#s(literal 1 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))))))
#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) (sin.f64 (+.f64 (neg.f64 (*.f64 (/.f64 x y) #s(literal -1/2 binary64))) (/.f64 (PI.f64) #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y))))
#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))))
(cos.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y)))
(+.f64 (neg.f64 (*.f64 (/.f64 x y) #s(literal -1/2 binary64))) (/.f64 (PI.f64) #s(literal 2 binary64)))
(fma.f64 (/.f64 x y) #s(literal 1/2 binary64) (/.f64 (PI.f64) #s(literal 2 binary64)))
(neg.f64 (*.f64 (/.f64 x y) #s(literal -1/2 binary64)))
(*.f64 (/.f64 #s(literal 1/2 binary64) y) x)
(*.f64 (/.f64 x y) #s(literal -1/2 binary64))
(*.f64 #s(literal -1/2 binary64) (/.f64 x y))
(/.f64 x y)
x
y
#s(literal -1/2 binary64)
(/.f64 (PI.f64) #s(literal 2 binary64))
(PI.f64)
#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 #s(literal -1/2 binary64) (/.f64 x y) (PI.f64))) #s(literal -1 binary64) (.f64 (sin.f64 (.f64 (/.f64 #s(literal 1/2 binary64) y) x)) (sin.f64 (PI.f64))))))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y)))))
(/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 x y) (PI.f64))) #s(literal -1 binary64) (.f64 (sin.f64 (.f64 (/.f64 #s(literal 1/2 binary64) y) x)) (sin.f64 (PI.f64)))))
(/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y))))
#s(literal 1 binary64)
(fma.f64 (cos.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 x y) (PI.f64))) #s(literal -1 binary64) (.f64 (sin.f64 (.f64 (/.f64 #s(literal 1/2 binary64) y) x)) (sin.f64 (PI.f64))))
(cos.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y)))
(cos.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 x y) (PI.f64)))
(cos.f64 (fma.f64 (/.f64 x y) #s(literal 1/2 binary64) (PI.f64)))
(fma.f64 #s(literal -1/2 binary64) (/.f64 x y) (PI.f64))
#s(literal -1/2 binary64)
(/.f64 x y)
x
y
(PI.f64)
#s(literal -1 binary64)
(.f64 (sin.f64 (.f64 (/.f64 #s(literal 1/2 binary64) y) x)) (sin.f64 (PI.f64)))
#s(literal 0 binary64)
(sin.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x))
(*.f64 (/.f64 #s(literal 1/2 binary64) y) x)
(/.f64 #s(literal 1/2 binary64) y)
#s(literal 1/2 binary64)
(sin.f64 (PI.f64))
#s(literal 0 binary64)
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (fma.f64 (sin.f64 (+.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) y) x (/.f64 (PI.f64) #s(literal 2 binary64))) (PI.f64))) (cos.f64 (PI.f64)) (.f64 (sin.f64 (.f64 (/.f64 #s(literal 1/2 binary64) y) x)) (sin.f64 (PI.f64))))))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y)))))
(/.f64 #s(literal 1 binary64) (fma.f64 (sin.f64 (+.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) y) x (/.f64 (PI.f64) #s(literal 2 binary64))) (PI.f64))) (cos.f64 (PI.f64)) (.f64 (sin.f64 (.f64 (/.f64 #s(literal 1/2 binary64) y) x)) (sin.f64 (PI.f64)))))
(/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y))))
#s(literal 1 binary64)
(fma.f64 (sin.f64 (+.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) y) x (/.f64 (PI.f64) #s(literal 2 binary64))) (PI.f64))) (cos.f64 (PI.f64)) (.f64 (sin.f64 (.f64 (/.f64 #s(literal 1/2 binary64) y) x)) (sin.f64 (PI.f64))))
(cos.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y)))
(sin.f64 (+.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) y) x (/.f64 (PI.f64) #s(literal 2 binary64))) (PI.f64)))
(cos.f64 (fma.f64 (/.f64 x y) #s(literal 1/2 binary64) (PI.f64)))
(+.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) y) x (/.f64 (PI.f64) #s(literal 2 binary64))) (PI.f64))
(fma.f64 #s(literal 3 binary64) (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 (/.f64 #s(literal 1/2 binary64) y) x))
(fma.f64 (/.f64 #s(literal 1/2 binary64) y) x (/.f64 (PI.f64) #s(literal 2 binary64)))
(fma.f64 (/.f64 x y) #s(literal 1/2 binary64) (/.f64 (PI.f64) #s(literal 2 binary64)))
(/.f64 #s(literal 1/2 binary64) y)
#s(literal 1/2 binary64)
y
x
(/.f64 (PI.f64) #s(literal 2 binary64))
(PI.f64)
#s(literal 2 binary64)
(cos.f64 (PI.f64))
#s(literal -1 binary64)
(.f64 (sin.f64 (.f64 (/.f64 #s(literal 1/2 binary64) y) x)) (sin.f64 (PI.f64)))
#s(literal 0 binary64)
(sin.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x))
(*.f64 (/.f64 #s(literal 1/2 binary64) y) x)
(sin.f64 (PI.f64))
#s(literal 0 binary64)

localize1.2s (12.3%)

Memory

-13.4MiB live, 1 410.9MiB allocated; 180ms collecting garbage

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.1953125	(*.f64 (/.f64 #s(literal 1/2 binary64) y) x)
accuracy	27.632391787176566	(sin.f64 (+.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) y) x (/.f64 (PI.f64) #s(literal 2 binary64))) (PI.f64)))
accuracy	28.177355173366077	(sin.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x))
accuracy	61.92199421717352	(sin.f64 (PI.f64))
accuracy	0.1953125	(*.f64 (/.f64 #s(literal 1/2 binary64) y) x)
accuracy	28.112496507405687	(cos.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 x y) (PI.f64)))
accuracy	28.177355173366077	(sin.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x))
accuracy	61.92199421717352	(sin.f64 (PI.f64))
accuracy	0.0078125	(*.f64 (/.f64 x y) #s(literal -1/2 binary64))
accuracy	0.0234375	(+.f64 (neg.f64 (*.f64 (/.f64 x y) #s(literal -1/2 binary64))) (/.f64 (PI.f64) #s(literal 2 binary64)))
accuracy	0.11328125	(/.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)))))
accuracy	28.057006695087356	(sin.f64 (+.f64 (neg.f64 (*.f64 (/.f64 x y) #s(literal -1/2 binary64))) (/.f64 (PI.f64) #s(literal 2 binary64))))
accuracy	0.0	(*.f64 x x)
accuracy	0.7749627934785995	(/.f64 #s(literal 1/8 binary64) (*.f64 y y))
accuracy	11.015740285449644	(fma.f64 (.f64 x x) (/.f64 #s(literal 1/8 binary64) (.f64 y y)) #s(literal 1 binary64))
accuracy	31.1515055001369	#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (fma.f64 (.f64 x x) (/.f64 #s(literal 1/8 binary64) (.f64 y y)) #s(literal 1 binary64)))
accuracy	0.1953125	(*.f64 (/.f64 #s(literal 1/2 binary64) y) x)
accuracy	27.695774486084613	(cos.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x))
accuracy	28.177355173366077	(sin.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x))
accuracy	61.923890234305404	(cos.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)) (PI.f64)))

Samples

766.0ms	137×	2	valid
394.0ms	119×	1	valid

Compiler

Compiled 498 to 55 computations (89% saved)

Precisions

Click to see histograms. Total time spent on operations: 1.0s

ival-sin: 632.0ms (61.7% of total)

ival-cos: 146.0ms (14.3% of total)

ival-div: 81.0ms (7.9% of total)

adjust: 68.0ms (6.6% of total)

ival-mult: 44.0ms (4.3% of total)

ival-add: 39.0ms (3.8% of total)

ival-tan: 9.0ms (0.9% of total)

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

ival-neg: 2.0ms (0.2% of total)

exact: 1.0ms (0.1% of total)

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

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

series35.0ms (0.3%)

Memory

-0.3MiB live, 46.4MiB allocated; 3ms collecting garbage

Counts

25 → 123

Calls

Call 1

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

Outputs
(sin (+ (* 1/2 (PI)) (* 2 (PI))))
(+ (sin (+ (* 1/2 (PI)) (* 2 (PI)))) (* 1/2 (/ (* x (cos (+ (* 1/2 (PI)) (* 2 (PI))))) y)))
(+ (sin (+ (* 1/2 (PI)) (* 2 (PI)))) (* x (+ (* -1/8 (/ (* x (sin (+ (* 1/2 (PI)) (* 2 (PI))))) (pow y 2))) (* 1/2 (/ (cos (+ (* 1/2 (PI)) (* 2 (PI)))) y)))))
(+ (sin (+ (* 1/2 (PI)) (* 2 (PI)))) (* x (+ (* 1/2 (/ (cos (+ (* 1/2 (PI)) (* 2 (PI)))) y)) (* x (+ (* -1/8 (/ (sin (+ (* 1/2 (PI)) (* 2 (PI)))) (pow y 2))) (* -1/48 (/ (* x (cos (+ (* 1/2 (PI)) (* 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))))))
(pow x 2)
(sin (* 1/2 (PI)))
(+ (sin (* 1/2 (PI))) (* 1/2 (/ (* x (cos (* 1/2 (PI)))) y)))
(+ (sin (* 1/2 (PI))) (* x (+ (* -1/8 (/ (* x (sin (* 1/2 (PI)))) (pow y 2))) (* 1/2 (/ (cos (* 1/2 (PI))) y)))))
(+ (sin (* 1/2 (PI))) (* x (+ (* 1/2 (/ (cos (* 1/2 (PI))) y)) (* x (+ (* -1/8 (/ (sin (* 1/2 (PI))) (pow y 2))) (* -1/48 (/ (* x (cos (* 1/2 (PI)))) (pow y 3))))))))
(* 1/2 (PI))
(+ (* 1/2 (PI)) (* 1/2 (/ x y)))
(* 1/2 (/ x y))
(* 1/2 (/ (* x (sin (PI))) y))
(* x (+ (* -1/48 (/ (* (pow x 2) (sin (PI))) (pow y 3))) (* 1/2 (/ (sin (PI)) y))))
(* x (+ (* 1/2 (/ (sin (PI)) y)) (* (pow x 2) (+ (* -1/48 (/ (sin (PI)) (pow y 3))) (* 1/3840 (/ (* (pow x 2) (sin (PI))) (pow y 5)))))))
(* x (+ (* 1/2 (/ (sin (PI)) y)) (* (pow x 2) (+ (* -1/48 (/ (sin (PI)) (pow y 3))) (* (pow x 2) (+ (* -1/645120 (/ (* (pow x 2) (sin (PI))) (pow y 7))) (* 1/3840 (/ (sin (PI)) (pow y 5)))))))))
(* -1 (cos (PI)))
(+ (* -1 (cos (PI))) (* x (+ (* -1/2 (/ (sin (PI)) y)) (* 1/2 (/ (sin (PI)) y)))))
(+ (* -1 (cos (PI))) (* x (+ (* -1/2 (/ (sin (PI)) y)) (+ (* 1/8 (/ (* x (cos (PI))) (pow y 2))) (* 1/2 (/ (sin (PI)) y))))))
(+ (* -1 (cos (PI))) (* x (+ (* -1/2 (/ (sin (PI)) y)) (+ (* 1/2 (/ (sin (PI)) y)) (* x (+ (* 1/8 (/ (cos (PI)) (pow y 2))) (* x (+ (* -1/48 (/ (sin (PI)) (pow y 3))) (* 1/48 (/ (sin (PI)) (pow y 3)))))))))))
(* (cos (PI)) (sin (+ (PI) (* 1/2 (PI)))))
(+ (* x (+ (* 1/2 (/ (sin (PI)) y)) (* 1/2 (/ (* (cos (PI)) (cos (+ (PI) (* 1/2 (PI))))) y)))) (* (cos (PI)) (sin (+ (PI) (* 1/2 (PI))))))
(+ (* x (+ (* -1/8 (/ (* x (* (cos (PI)) (sin (+ (PI) (* 1/2 (PI)))))) (pow y 2))) (+ (* 1/2 (/ (sin (PI)) y)) (* 1/2 (/ (* (cos (PI)) (cos (+ (PI) (* 1/2 (PI))))) y))))) (* (cos (PI)) (sin (+ (PI) (* 1/2 (PI))))))
(+ (* x (+ (* 1/2 (/ (sin (PI)) y)) (+ (* 1/2 (/ (* (cos (PI)) (cos (+ (PI) (* 1/2 (PI))))) y)) (* x (+ (* -1/8 (/ (* (cos (PI)) (sin (+ (PI) (* 1/2 (PI))))) (pow y 2))) (* x (+ (* -1/48 (/ (sin (PI)) (pow y 3))) (* -1/48 (/ (* (cos (PI)) (cos (+ (PI) (* 1/2 (PI))))) (pow y 3)))))))))) (* (cos (PI)) (sin (+ (PI) (* 1/2 (PI))))))
(sin (+ (PI) (* 1/2 (PI))))
(+ (sin (+ (PI) (* 1/2 (PI)))) (* 1/2 (/ (* x (cos (+ (PI) (* 1/2 (PI))))) y)))
(+ (sin (+ (PI) (* 1/2 (PI)))) (* x (+ (* -1/8 (/ (* x (sin (+ (PI) (* 1/2 (PI))))) (pow y 2))) (* 1/2 (/ (cos (+ (PI) (* 1/2 (PI)))) y)))))
(+ (sin (+ (PI) (* 1/2 (PI)))) (* x (+ (* 1/2 (/ (cos (+ (PI) (* 1/2 (PI)))) y)) (* x (+ (* -1/8 (/ (sin (+ (PI) (* 1/2 (PI)))) (pow y 2))) (* -1/48 (/ (* x (cos (+ (PI) (* 1/2 (PI))))) (pow y 3))))))))
(* 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))))
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(/ (+ (* -1/48 (/ (* (pow x 3) (sin (PI))) (pow y 2))) (* 1/2 (* x (sin (PI))))) y)
(/ (+ (* -1/48 (/ (* (pow x 3) (sin (PI))) (pow y 2))) (+ (* 1/3840 (/ (* (pow x 5) (sin (PI))) (pow y 4))) (* 1/2 (* x (sin (PI)))))) y)
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Calls

6 calls:

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

simplify179.0ms (1.8%)

Memory

51.2MiB live, 235.5MiB allocated; 22ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	793	3447
1	2772	3098
0	8830	2929

Stop Event

1×	iter limit
1×	node limit

Counts

123 → 123

Calls

Call 1

Inputs
(sin (+ (* 1/2 (PI)) (* 2 (PI))))
(+ (sin (+ (* 1/2 (PI)) (* 2 (PI)))) (* 1/2 (/ (* x (cos (+ (* 1/2 (PI)) (* 2 (PI))))) y)))
(+ (sin (+ (* 1/2 (PI)) (* 2 (PI)))) (* x (+ (* -1/8 (/ (* x (sin (+ (* 1/2 (PI)) (* 2 (PI))))) (pow y 2))) (* 1/2 (/ (cos (+ (* 1/2 (PI)) (* 2 (PI)))) y)))))
(+ (sin (+ (* 1/2 (PI)) (* 2 (PI)))) (* x (+ (* 1/2 (/ (cos (+ (* 1/2 (PI)) (* 2 (PI)))) y)) (* x (+ (* -1/8 (/ (sin (+ (* 1/2 (PI)) (* 2 (PI)))) (pow y 2))) (* -1/48 (/ (* x (cos (+ (* 1/2 (PI)) (* 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))))))
(pow x 2)
(sin (* 1/2 (PI)))
(+ (sin (* 1/2 (PI))) (* 1/2 (/ (* x (cos (* 1/2 (PI)))) y)))
(+ (sin (* 1/2 (PI))) (* x (+ (* -1/8 (/ (* x (sin (* 1/2 (PI)))) (pow y 2))) (* 1/2 (/ (cos (* 1/2 (PI))) y)))))
(+ (sin (* 1/2 (PI))) (* x (+ (* 1/2 (/ (cos (* 1/2 (PI))) y)) (* x (+ (* -1/8 (/ (sin (* 1/2 (PI))) (pow y 2))) (* -1/48 (/ (* x (cos (* 1/2 (PI)))) (pow y 3))))))))
(* 1/2 (PI))
(+ (* 1/2 (PI)) (* 1/2 (/ x y)))
(* 1/2 (/ x y))
(* 1/2 (/ (* x (sin (PI))) y))
(* x (+ (* -1/48 (/ (* (pow x 2) (sin (PI))) (pow y 3))) (* 1/2 (/ (sin (PI)) y))))
(* x (+ (* 1/2 (/ (sin (PI)) y)) (* (pow x 2) (+ (* -1/48 (/ (sin (PI)) (pow y 3))) (* 1/3840 (/ (* (pow x 2) (sin (PI))) (pow y 5)))))))
(* x (+ (* 1/2 (/ (sin (PI)) y)) (* (pow x 2) (+ (* -1/48 (/ (sin (PI)) (pow y 3))) (* (pow x 2) (+ (* -1/645120 (/ (* (pow x 2) (sin (PI))) (pow y 7))) (* 1/3840 (/ (sin (PI)) (pow y 5)))))))))
(* -1 (cos (PI)))
(+ (* -1 (cos (PI))) (* x (+ (* -1/2 (/ (sin (PI)) y)) (* 1/2 (/ (sin (PI)) y)))))
(+ (* -1 (cos (PI))) (* x (+ (* -1/2 (/ (sin (PI)) y)) (+ (* 1/8 (/ (* x (cos (PI))) (pow y 2))) (* 1/2 (/ (sin (PI)) y))))))
(+ (* -1 (cos (PI))) (* x (+ (* -1/2 (/ (sin (PI)) y)) (+ (* 1/2 (/ (sin (PI)) y)) (* x (+ (* 1/8 (/ (cos (PI)) (pow y 2))) (* x (+ (* -1/48 (/ (sin (PI)) (pow y 3))) (* 1/48 (/ (sin (PI)) (pow y 3)))))))))))
(* (cos (PI)) (sin (+ (PI) (* 1/2 (PI)))))
(+ (* x (+ (* 1/2 (/ (sin (PI)) y)) (* 1/2 (/ (* (cos (PI)) (cos (+ (PI) (* 1/2 (PI))))) y)))) (* (cos (PI)) (sin (+ (PI) (* 1/2 (PI))))))
(+ (* x (+ (* -1/8 (/ (* x (* (cos (PI)) (sin (+ (PI) (* 1/2 (PI)))))) (pow y 2))) (+ (* 1/2 (/ (sin (PI)) y)) (* 1/2 (/ (* (cos (PI)) (cos (+ (PI) (* 1/2 (PI))))) y))))) (* (cos (PI)) (sin (+ (PI) (* 1/2 (PI))))))
(+ (* x (+ (* 1/2 (/ (sin (PI)) y)) (+ (* 1/2 (/ (* (cos (PI)) (cos (+ (PI) (* 1/2 (PI))))) y)) (* x (+ (* -1/8 (/ (* (cos (PI)) (sin (+ (PI) (* 1/2 (PI))))) (pow y 2))) (* x (+ (* -1/48 (/ (sin (PI)) (pow y 3))) (* -1/48 (/ (* (cos (PI)) (cos (+ (PI) (* 1/2 (PI))))) (pow y 3)))))))))) (* (cos (PI)) (sin (+ (PI) (* 1/2 (PI))))))
(sin (+ (PI) (* 1/2 (PI))))
(+ (sin (+ (PI) (* 1/2 (PI)))) (* 1/2 (/ (* x (cos (+ (PI) (* 1/2 (PI))))) y)))
(+ (sin (+ (PI) (* 1/2 (PI)))) (* x (+ (* -1/8 (/ (* x (sin (+ (PI) (* 1/2 (PI))))) (pow y 2))) (* 1/2 (/ (cos (+ (PI) (* 1/2 (PI)))) y)))))
(+ (sin (+ (PI) (* 1/2 (PI)))) (* x (+ (* 1/2 (/ (cos (+ (PI) (* 1/2 (PI)))) y)) (* x (+ (* -1/8 (/ (sin (+ (PI) (* 1/2 (PI)))) (pow y 2))) (* -1/48 (/ (* x (cos (+ (PI) (* 1/2 (PI))))) (pow y 3))))))))
(* 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 (* -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 (sin (* 1/2 (PI))))
(+ (* -1/2 (/ (* x (cos (* 1/2 (PI)))) (* y (pow (sin (* 1/2 (PI))) 2)))) (/ 1 (sin (* 1/2 (PI)))))
(+ (* x (- (* x (- (* 1/8 (/ 1 (* (pow y 2) (sin (* 1/2 (PI)))))) (* -1/4 (/ (pow (cos (* 1/2 (PI))) 2) (* (pow y 2) (pow (sin (* 1/2 (PI))) 3)))))) (* 1/2 (/ (cos (* 1/2 (PI))) (* y (pow (sin (* 1/2 (PI))) 2)))))) (/ 1 (sin (* 1/2 (PI)))))
(+ (* x (- (* x (- (+ (* -1 (* x (+ (* -1/48 (/ (cos (* 1/2 (PI))) (* (pow y 3) (pow (sin (* 1/2 (PI))) 2)))) (+ (* 1/16 (/ (cos (* 1/2 (PI))) (* (pow y 3) (pow (sin (* 1/2 (PI))) 2)))) (* 1/2 (/ (* (cos (* 1/2 (PI))) (- (* 1/8 (/ 1 (* (pow y 2) (sin (* 1/2 (PI)))))) (* -1/4 (/ (pow (cos (* 1/2 (PI))) 2) (* (pow y 2) (pow (sin (* 1/2 (PI))) 3)))))) (* y (sin (* 1/2 (PI)))))))))) (* 1/8 (/ 1 (* (pow y 2) (sin (* 1/2 (PI))))))) (* -1/4 (/ (pow (cos (* 1/2 (PI))) 2) (* (pow y 2) (pow (sin (* 1/2 (PI))) 3)))))) (* 1/2 (/ (cos (* 1/2 (PI))) (* y (pow (sin (* 1/2 (PI))) 2)))))) (/ 1 (sin (* 1/2 (PI)))))
(* -1/2 (/ x y))
(cos (PI))
(+ (cos (PI)) (* 1/2 (/ (* x (sin (PI))) y)))
(+ (cos (PI)) (* x (- (* -1/8 (/ (* x (cos (PI))) (pow y 2))) (* -1/2 (/ (sin (PI)) y)))))
(+ (cos (PI)) (* x (- (* x (+ (* -1/8 (/ (cos (PI)) (pow y 2))) (* -1/48 (/ (* x (sin (PI))) (pow y 3))))) (* -1/2 (/ (sin (PI)) y)))))
(+ (* (cos (* 1/2 (/ x y))) (sin (+ (* 1/2 (PI)) (* 2 (PI))))) (* (cos (+ (* 1/2 (PI)) (* 2 (PI)))) (sin (* 1/2 (/ x y)))))
(/ 1 (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)))))
(sin (+ (* 1/2 (PI)) (* 1/2 (/ x y))))
(* x (+ (* 1/2 (/ (PI) x)) (* 1/2 (/ 1 y))))
(* (sin (PI)) (sin (* 1/2 (/ x y))))
(+ (* -1 (cos (- (PI) (* 1/2 (/ x y))))) (* (sin (PI)) (sin (* 1/2 (/ x y)))))
(+ (* (cos (PI)) (sin (+ (PI) (+ (* 1/2 (PI)) (* 1/2 (/ x y)))))) (* (sin (PI)) (sin (* 1/2 (/ x y)))))
(sin (+ (PI) (+ (* 1/2 (PI)) (* 1/2 (/ x y)))))
(sin (* 1/2 (/ x y)))
(cos (* 1/2 (/ x y)))
(/ 1 (sin (+ (* 1/2 (PI)) (* 1/2 (/ x y)))))
(cos (- (PI) (* 1/2 (/ x y))))
(sin (- (* 1/2 (PI)) (* -1/2 (/ x y))))
(* -1 (* x (- (* -1/2 (/ (PI) x)) (* 1/2 (/ 1 y)))))
(+ (* -1 (cos (+ (PI) (* -1/2 (/ x y))))) (* (sin (PI)) (sin (* 1/2 (/ x y)))))
(+ (* (cos (PI)) (sin (- (+ (PI) (* 1/2 (PI))) (* -1/2 (/ x y))))) (* (sin (PI)) (sin (* 1/2 (/ x y)))))
(sin (- (+ (PI) (* 1/2 (PI))) (* -1/2 (/ x y))))
(/ 1 (sin (- (* 1/2 (PI)) (* -1/2 (/ x y)))))
(cos (+ (PI) (* -1/2 (/ x y))))
(/ (+ (* 1/8 (pow x 2)) (pow y 2)) (pow y 2))
(/ 1/8 (pow y 2))
(/ (- (* 1/2 (* y (PI))) (* -1/2 x)) y)
(+ (sin (+ (* 1/2 (PI)) (* 2 (PI)))) (+ (* -1/8 (/ (* (pow x 2) (sin (+ (* 1/2 (PI)) (* 2 (PI))))) (pow y 2))) (* 1/2 (/ (* x (cos (+ (* 1/2 (PI)) (* 2 (PI))))) y))))
(+ (sin (+ (* 1/2 (PI)) (* 2 (PI)))) (+ (* -1/8 (/ (* (pow x 2) (sin (+ (* 1/2 (PI)) (* 2 (PI))))) (pow y 2))) (+ (* -1/48 (/ (* (pow x 3) (cos (+ (* 1/2 (PI)) (* 2 (PI))))) (pow y 3))) (* 1/2 (/ (* x (cos (+ (* 1/2 (PI)) (* 2 (PI))))) y)))))
(- (+ 1 (* 2 (/ (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3))) (* x (pow y 2))))) (* -1/24 (/ (pow x 2) (pow y 2))))
(- (+ 1 (+ (* 2 (/ (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3))) (* x (pow y 2)))) (* 2 (/ (- (* 1/3840 (pow x 5)) (+ (* -1/8 (* (pow x 2) (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3))))) (* 1/768 (pow x 5)))) (* x (pow y 4)))))) (+ (* -1/24 (/ (* (pow x 2) (- (* 2 (/ (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3))) x)) (* -1/24 (pow x 2)))) (pow y 4))) (+ (* -1/24 (/ (pow x 2) (pow y 2))) (* 1/1920 (/ (pow x 4) (pow y 4))))))
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(+ (sin (* 1/2 (PI))) (+ (* -1/8 (/ (* (pow x 2) (sin (* 1/2 (PI)))) (pow y 2))) (* 1/2 (/ (* x (cos (* 1/2 (PI)))) y))))
(+ (sin (* 1/2 (PI))) (+ (* -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 (/ (* x (cos (* 1/2 (PI)))) y)))))
(/ (+ (* -1/48 (/ (* (pow x 3) (sin (PI))) (pow y 2))) (* 1/2 (* x (sin (PI))))) y)
(/ (+ (* -1/48 (/ (* (pow x 3) (sin (PI))) (pow y 2))) (+ (* 1/3840 (/ (* (pow x 5) (sin (PI))) (pow y 4))) (* 1/2 (* x (sin (PI)))))) y)
(/ (+ (* -1/48 (/ (* (pow x 3) (sin (PI))) (pow y 2))) (+ (* -1/645120 (/ (* (pow x 7) (sin (PI))) (pow y 6))) (+ (* 1/3840 (/ (* (pow x 5) (sin (PI))) (pow y 4))) (* 1/2 (* x (sin (PI))))))) y)
(+ (* -1 (cos (PI))) (+ (* -1/2 (/ (* x (sin (PI))) y)) (* 1/2 (/ (* x (sin (PI))) y))))
(+ (* -1 (cos (PI))) (+ (* -1/2 (/ (* x (sin (PI))) y)) (+ (* 1/8 (/ (* (pow x 2) (cos (PI))) (pow y 2))) (* 1/2 (/ (* x (sin (PI))) y)))))
(+ (* -1 (cos (PI))) (+ (* -1/2 (/ (* x (sin (PI))) y)) (+ (* -1/48 (/ (* (pow x 3) (sin (PI))) (pow y 3))) (+ (* 1/48 (/ (* (pow x 3) (sin (PI))) (pow y 3))) (+ (* 1/8 (/ (* (pow x 2) (cos (PI))) (pow y 2))) (* 1/2 (/ (* x (sin (PI))) y)))))))
(+ (* 1/2 (/ (* x (sin (PI))) y)) (+ (* 1/2 (/ (* x (* (cos (PI)) (cos (+ (PI) (* 1/2 (PI)))))) y)) (* (cos (PI)) (sin (+ (PI) (* 1/2 (PI)))))))
(+ (* -1/8 (/ (* (pow x 2) (* (cos (PI)) (sin (+ (PI) (* 1/2 (PI)))))) (pow y 2))) (+ (* 1/2 (/ (* x (sin (PI))) y)) (+ (* 1/2 (/ (* x (* (cos (PI)) (cos (+ (PI) (* 1/2 (PI)))))) y)) (* (cos (PI)) (sin (+ (PI) (* 1/2 (PI))))))))
(+ (* -1/8 (/ (* (pow x 2) (* (cos (PI)) (sin (+ (PI) (* 1/2 (PI)))))) (pow y 2))) (+ (* -1/48 (/ (* (pow x 3) (sin (PI))) (pow y 3))) (+ (* -1/48 (/ (* (pow x 3) (* (cos (PI)) (cos (+ (PI) (* 1/2 (PI)))))) (pow y 3))) (+ (* 1/2 (/ (* x (sin (PI))) y)) (+ (* 1/2 (/ (* x (* (cos (PI)) (cos (+ (PI) (* 1/2 (PI)))))) y)) (* (cos (PI)) (sin (+ (PI) (* 1/2 (PI))))))))))
(+ (sin (+ (PI) (* 1/2 (PI)))) (+ (* -1/8 (/ (* (pow x 2) (sin (+ (PI) (* 1/2 (PI))))) (pow y 2))) (* 1/2 (/ (* x (cos (+ (PI) (* 1/2 (PI))))) y))))
(+ (sin (+ (PI) (* 1/2 (PI)))) (+ (* -1/8 (/ (* (pow x 2) (sin (+ (PI) (* 1/2 (PI))))) (pow y 2))) (+ (* -1/48 (/ (* (pow x 3) (cos (+ (PI) (* 1/2 (PI))))) (pow y 3))) (* 1/2 (/ (* x (cos (+ (PI) (* 1/2 (PI))))) 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 (+ (* -1/8 (/ (pow x 2) (pow y 2))) (* 1/384 (/ (pow x 4) (pow y 4)))))
(+ 1 (+ (* -1/8 (/ (pow x 2) (pow y 2))) (+ (* -1/46080 (/ (pow x 6) (pow y 6))) (* 1/384 (/ (pow x 4) (pow y 4))))))
(- (+ (* -1 (/ (+ (* -1/4 (/ (* (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 (/ (+ (* -1/2 (/ (* 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))))) (+ (* -1/48 (/ (* (pow x 3) (cos (* 1/2 (PI)))) (pow (sin (* 1/2 (PI))) 2))) (* 1/16 (/ (* (pow x 3) (cos (* 1/2 (PI)))) (pow (sin (* 1/2 (PI))) 2))))) (pow y 3))) (/ 1 (sin (* 1/2 (PI))))) (+ (* -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)))))) (* 1/2 (/ (* x (cos (* 1/2 (PI)))) (* y (pow (sin (* 1/2 (PI))) 2)))))))
(- (+ (cos (PI)) (* -1/8 (/ (* (pow x 2) (cos (PI))) (pow y 2)))) (* -1/2 (/ (* x (sin (PI))) y)))
(- (+ (cos (PI)) (+ (* -1/8 (/ (* (pow x 2) (cos (PI))) (pow y 2))) (* -1/48 (/ (* (pow x 3) (sin (PI))) (pow y 3))))) (* -1/2 (/ (* x (sin (PI))) y)))
(+ (sin (+ (* 1/2 (PI)) (* 2 (PI)))) (* -1 (/ (+ (* -1/2 (* x (cos (+ (* 1/2 (PI)) (* 2 (PI)))))) (* 1/8 (/ (* (pow x 2) (sin (+ (* 1/2 (PI)) (* 2 (PI))))) y))) y)))
(+ (sin (+ (* 1/2 (PI)) (* 2 (PI)))) (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (* (pow x 2) (sin (+ (* 1/2 (PI)) (* 2 (PI)))))) (* -1/48 (/ (* (pow x 3) (cos (+ (* 1/2 (PI)) (* 2 (PI))))) y))) y)) (* -1/2 (* x (cos (+ (* 1/2 (PI)) (* 2 (PI))))))) y)))
(- (+ 1 (* -2 (/ (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3))) (* x (pow y 2))))) (* -1/24 (/ (pow x 2) (pow y 2))))
(- (+ 1 (+ (* -2 (/ (- (* -1/3840 (pow x 5)) (+ (* -1/8 (* (pow x 2) (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3))))) (* -1/768 (pow x 5)))) (* x (pow y 4)))) (* -2 (/ (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3))) (* x (pow y 2)))))) (+ (* -1/24 (/ (* (pow x 2) (- (* -2 (/ (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3))) x)) (* -1/24 (pow x 2)))) (pow y 4))) (+ (* -1/24 (/ (pow x 2) (pow y 2))) (* 1/1920 (/ (pow x 4) (pow y 4))))))
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(+ (sin (* 1/2 (PI))) (* -1 (/ (+ (* -1/2 (* x (cos (* 1/2 (PI))))) (* 1/8 (/ (* (pow x 2) (sin (* 1/2 (PI)))) y))) y)))
(+ (sin (* 1/2 (PI))) (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (* (pow x 2) (sin (* 1/2 (PI))))) (* -1/48 (/ (* (pow x 3) (cos (* 1/2 (PI)))) y))) y)) (* -1/2 (* x (cos (* 1/2 (PI)))))) y)))
(* -1 (/ (+ (* -1/2 (* x (sin (PI)))) (* 1/48 (/ (* (pow x 3) (sin (PI))) (pow y 2)))) y))
(* -1 (/ (+ (* -1/2 (* x (sin (PI)))) (+ (* -1/3840 (/ (* (pow x 5) (sin (PI))) (pow y 4))) (* 1/48 (/ (* (pow x 3) (sin (PI))) (pow y 2))))) y))
(* -1 (/ (+ (* -1/2 (* x (sin (PI)))) (+ (* -1/3840 (/ (* (pow x 5) (sin (PI))) (pow y 4))) (+ (* 1/645120 (/ (* (pow x 7) (sin (PI))) (pow y 6))) (* 1/48 (/ (* (pow x 3) (sin (PI))) (pow y 2)))))) y))
(+ (* -1 (cos (PI))) (* -1 (/ (+ (* -1/2 (* x (sin (PI)))) (* 1/2 (* x (sin (PI))))) y)))
(+ (* -1 (cos (PI))) (* -1 (/ (+ (* -1/2 (* x (sin (PI)))) (+ (* -1/8 (/ (* (pow x 2) (cos (PI))) y)) (* 1/2 (* x (sin (PI)))))) y)))
(+ (* -1 (cos (PI))) (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/48 (* (pow x 3) (sin (PI)))) (* 1/48 (* (pow x 3) (sin (PI))))) y)) (* 1/8 (* (pow x 2) (cos (PI))))) y)) (+ (* -1/2 (* x (sin (PI)))) (* 1/2 (* x (sin (PI)))))) y)))
(+ (* -1 (/ (+ (* -1/2 (* x (sin (PI)))) (* -1/2 (* x (* (cos (PI)) (cos (+ (PI) (* 1/2 (PI)))))))) y)) (* (cos (PI)) (sin (+ (PI) (* 1/2 (PI))))))
(+ (* -1 (/ (+ (* -1/2 (* x (sin (PI)))) (+ (* -1/2 (* x (* (cos (PI)) (cos (+ (PI) (* 1/2 (PI))))))) (* 1/8 (/ (* (pow x 2) (* (cos (PI)) (sin (+ (PI) (* 1/2 (PI)))))) y)))) y)) (* (cos (PI)) (sin (+ (PI) (* 1/2 (PI))))))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* 1/48 (* (pow x 3) (sin (PI)))) (* 1/48 (* (pow x 3) (* (cos (PI)) (cos (+ (PI) (* 1/2 (PI)))))))) y)) (* -1/8 (* (pow x 2) (* (cos (PI)) (sin (+ (PI) (* 1/2 (PI)))))))) y)) (+ (* -1/2 (* x (sin (PI)))) (* -1/2 (* x (* (cos (PI)) (cos (+ (PI) (* 1/2 (PI))))))))) y)) (* (cos (PI)) (sin (+ (PI) (* 1/2 (PI))))))
(+ (sin (+ (PI) (* 1/2 (PI)))) (* -1 (/ (+ (* -1/2 (* x (cos (+ (PI) (* 1/2 (PI)))))) (* 1/8 (/ (* (pow x 2) (sin (+ (PI) (* 1/2 (PI))))) y))) y)))
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(* -1 (/ (+ (* -1/2 x) (* 1/48 (/ (pow x 3) (pow y 2)))) y))
(* -1 (/ (+ (* -1/2 x) (+ (* -1/3840 (/ (pow x 5) (pow y 4))) (* 1/48 (/ (pow x 3) (pow y 2))))) y))
(* -1 (/ (+ (* -1/2 x) (+ (* -1/3840 (/ (pow x 5) (pow y 4))) (+ (* 1/645120 (/ (pow x 7) (pow y 6))) (* 1/48 (/ (pow x 3) (pow y 2)))))) y))
(+ (* -1 (/ (- (+ (* -1/4 (/ (* (pow x 2) (pow (cos (* 1/2 (PI))) 2)) (* y (pow (sin (* 1/2 (PI))) 3)))) (* -1/8 (/ (pow x 2) (* y (sin (* 1/2 (PI))))))) (* -1/2 (/ (* x (cos (* 1/2 (PI)))) (pow (sin (* 1/2 (PI))) 2)))) y)) (/ 1 (sin (* 1/2 (PI)))))
(+ (* -1 (/ (- (* -1 (/ (- (+ (* -1/16 (/ (* (pow x 3) (cos (* 1/2 (PI)))) (* y (pow (sin (* 1/2 (PI))) 2)))) (+ (* 1/48 (/ (* (pow x 3) (cos (* 1/2 (PI)))) (* y (pow (sin (* 1/2 (PI))) 2)))) (* 1/2 (/ (* x (* (cos (* 1/2 (PI))) (+ (* -1/4 (/ (* (pow x 2) (pow (cos (* 1/2 (PI))) 2)) (pow (sin (* 1/2 (PI))) 3))) (* -1/8 (/ (pow x 2) (sin (* 1/2 (PI)))))))) (* y (sin (* 1/2 (PI)))))))) (+ (* -1/4 (/ (* (pow x 2) (pow (cos (* 1/2 (PI))) 2)) (pow (sin (* 1/2 (PI))) 3))) (* -1/8 (/ (pow x 2) (sin (* 1/2 (PI))))))) y)) (* -1/2 (/ (* x (cos (* 1/2 (PI)))) (pow (sin (* 1/2 (PI))) 2)))) y)) (/ 1 (sin (* 1/2 (PI)))))
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Outputs
(sin (+ (* 1/2 (PI)) (* 2 (PI))))
(sin.f64 (*.f64 (PI.f64) #s(literal 5/2 binary64)))
(+ (sin (+ (* 1/2 (PI)) (* 2 (PI)))) (* 1/2 (/ (* x (cos (+ (* 1/2 (PI)) (* 2 (PI))))) y)))
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(+ (sin (+ (* 1/2 (PI)) (* 2 (PI)))) (* x (+ (* -1/8 (/ (* x (sin (+ (* 1/2 (PI)) (* 2 (PI))))) (pow y 2))) (* 1/2 (/ (cos (+ (* 1/2 (PI)) (* 2 (PI)))) y)))))
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1
#s(literal 1 binary64)
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(* 1/2 (PI))
(*.f64 (PI.f64) #s(literal 1/2 binary64))
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(* 1/2 (/ (* x (sin (PI))) y))
#s(literal 0 binary64)
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#s(literal 0 binary64)
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#s(literal 0 binary64)
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#s(literal 0 binary64)
(* -1 (cos (PI)))
#s(literal 1 binary64)
(+ (* -1 (cos (PI))) (* x (+ (* -1/2 (/ (sin (PI)) y)) (* 1/2 (/ (sin (PI)) y)))))
#s(literal 1 binary64)
(+ (* -1 (cos (PI))) (* x (+ (* -1/2 (/ (sin (PI)) y)) (+ (* 1/8 (/ (* x (cos (PI))) (pow y 2))) (* 1/2 (/ (sin (PI)) y))))))
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(-.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) (fma.f64 (neg.f64 x) (cos.f64 (.f64 #s(literal -3/2 binary64) (PI.f64))) #s(literal 0 binary64)) (/.f64 (fma.f64 (.f64 #s(literal 1/8 binary64) (sin.f64 (.f64 #s(literal 3/2 binary64) (PI.f64)))) (.f64 x x) (/.f64 (fma.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/48 binary64)) (neg.f64 (cos.f64 (.f64 #s(literal -3/2 binary64) (PI.f64)))) #s(literal 0 binary64)) (neg.f64 y))) (neg.f64 y))) (neg.f64 y)) (sin.f64 (*.f64 #s(literal 3/2 binary64) (PI.f64))))
(+ (sin (+ (PI) (* 1/2 (PI)))) (* -1 (/ (+ (* -1/2 (* x (cos (+ (PI) (* 1/2 (PI)))))) (* 1/8 (/ (* (pow x 2) (sin (+ (PI) (* 1/2 (PI))))) y))) y)))
(-.f64 (sin.f64 (.f64 #s(literal 3/2 binary64) (PI.f64))) (/.f64 (fma.f64 (/.f64 (.f64 (sin.f64 (.f64 #s(literal 3/2 binary64) (PI.f64))) (.f64 x x)) y) #s(literal 1/8 binary64) (.f64 (.f64 #s(literal -1/2 binary64) x) (cos.f64 (*.f64 #s(literal -3/2 binary64) (PI.f64))))) y))
(+ (sin (+ (PI) (* 1/2 (PI)))) (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (* (pow x 2) (sin (+ (PI) (* 1/2 (PI)))))) (* -1/48 (/ (* (pow x 3) (cos (+ (PI) (* 1/2 (PI))))) y))) y)) (* -1/2 (* x (cos (+ (PI) (* 1/2 (PI))))))) y)))
(-.f64 (sin.f64 (.f64 #s(literal 3/2 binary64) (PI.f64))) (/.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal -3/2 binary64) (PI.f64)))) x (/.f64 (fma.f64 (.f64 (.f64 x x) #s(literal -1/8 binary64)) (sin.f64 (.f64 #s(literal 3/2 binary64) (PI.f64))) (/.f64 (.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/48 binary64)) (cos.f64 (*.f64 #s(literal -3/2 binary64) (PI.f64)))) y)) (neg.f64 y))) y))
(* -1 (/ (+ (* -1/2 x) (* 1/48 (/ (pow x 3) (pow y 2)))) y))
(/.f64 (fma.f64 (/.f64 #s(literal 1/48 binary64) y) (/.f64 (pow.f64 x #s(literal 3 binary64)) y) (*.f64 #s(literal -1/2 binary64) x)) (neg.f64 y))
(* -1 (/ (+ (* -1/2 x) (+ (* -1/3840 (/ (pow x 5) (pow y 4))) (* 1/48 (/ (pow x 3) (pow y 2))))) y))
(/.f64 (fma.f64 (/.f64 #s(literal 1/48 binary64) y) (/.f64 (pow.f64 x #s(literal 3 binary64)) y) (fma.f64 #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 (/ (- (+ (* -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)))))
(fma.f64 (/.f64 (fma.f64 (/.f64 #s(literal -1/4 binary64) y) (/.f64 (.f64 (pow.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) (PI.f64))) #s(literal 2 binary64)) (.f64 x x)) (pow.f64 (sin.f64 (.f64 (PI.f64) #s(literal 1/2 binary64))) #s(literal 3 binary64))) (fma.f64 (/.f64 #s(literal -1/8 binary64) y) (/.f64 (.f64 x x) (sin.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)))) (/.f64 (.f64 (.f64 #s(literal 1/2 binary64) x) (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))))) y) #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)))))
(+ (* -1 (/ (- (* -1 (/ (- (+ (* -1/16 (/ (* (pow x 3) (cos (* 1/2 (PI)))) (* y (pow (sin (* 1/2 (PI))) 2)))) (+ (* 1/48 (/ (* (pow x 3) (cos (* 1/2 (PI)))) (* y (pow (sin (* 1/2 (PI))) 2)))) (* 1/2 (/ (* x (* (cos (* 1/2 (PI))) (+ (* -1/4 (/ (* (pow x 2) (pow (cos (* 1/2 (PI))) 2)) (pow (sin (* 1/2 (PI))) 3))) (* -1/8 (/ (pow x 2) (sin (* 1/2 (PI)))))))) (* y (sin (* 1/2 (PI)))))))) (+ (* -1/4 (/ (* (pow x 2) (pow (cos (* 1/2 (PI))) 2)) (pow (sin (* 1/2 (PI))) 3))) (* -1/8 (/ (pow x 2) (sin (* 1/2 (PI))))))) y)) (* -1/2 (/ (* x (cos (* 1/2 (PI)))) (pow (sin (* 1/2 (PI))) 2)))) y)) (/ 1 (sin (* 1/2 (PI)))))
(fma.f64 (/.f64 (fma.f64 (/.f64 (-.f64 (fma.f64 (/.f64 (.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) y) (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))) #s(literal -1/24 binary64) (.f64 (/.f64 (.f64 (fma.f64 (.f64 #s(literal -1/4 binary64) (.f64 x x)) (/.f64 (pow.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) (PI.f64))) #s(literal 2 binary64)) (pow.f64 (sin.f64 (.f64 (PI.f64) #s(literal 1/2 binary64))) #s(literal 3 binary64))) (/.f64 (.f64 (.f64 x x) #s(literal -1/8 binary64)) (sin.f64 (.f64 (PI.f64) #s(literal 1/2 binary64))))) (.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) (PI.f64))) x)) (.f64 (sin.f64 (.f64 (PI.f64) #s(literal 1/2 binary64))) y)) #s(literal 1/2 binary64))) (fma.f64 (.f64 #s(literal -1/4 binary64) (.f64 x x)) (/.f64 (pow.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) (PI.f64))) #s(literal 2 binary64)) (pow.f64 (sin.f64 (.f64 (PI.f64) #s(literal 1/2 binary64))) #s(literal 3 binary64))) (/.f64 (.f64 (.f64 x x) #s(literal -1/8 binary64)) (sin.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)))))) y) #s(literal -1 binary64) (/.f64 (.f64 (.f64 #s(literal 1/2 binary64) x) (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)))) y) #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)))))
(+ (cos (PI)) (* -1 (/ (- (* 1/8 (/ (* (pow x 2) (cos (PI))) y)) (* 1/2 (* x (sin (PI))))) y)))
(-.f64 #s(literal -1 binary64) (/.f64 (/.f64 (fma.f64 (*.f64 x x) #s(literal -1/8 binary64) #s(literal 0 binary64)) y) y))
(+ (cos (PI)) (* -1 (/ (- (* -1 (/ (+ (* -1/8 (* (pow x 2) (cos (PI)))) (* -1/48 (/ (* (pow x 3) (sin (PI))) y))) y)) (* 1/2 (* x (sin (PI))))) y)))
(-.f64 #s(literal -1 binary64) (/.f64 (/.f64 (fma.f64 (*.f64 x x) #s(literal -1/8 binary64) #s(literal 0 binary64)) y) y))

rewrite261.0ms (2.6%)

Memory

-28.9MiB live, 158.4MiB allocated; 29ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	49	290
0	87	198
1	368	179
2	3132	179
0	8031	178

Stop Event

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

Counts

25 → 828

Calls

Call 1

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

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

eval163.0ms (1.6%)

Memory: 4.5MiB live, 153.4MiB allocated; 16ms collecting garbage
Compiler: Compiled 27 891 to 2 901 computations (89.6% saved)

prune224.0ms (2.2%)

Memory

-7.6MiB live, 203.8MiB allocated; 77ms collecting garbage

Pruning

83 alts after pruning (77 fresh and 6 done)

	Pruned	Kept	Total
New	554	24	578
Fresh	14	53	67
Picked	3	2	5
Done	0	4	4
Total	571	83	654

Accuracy

62.5%

Counts

654 → 83

Alt Table

Click to see full alt table

Status	Accuracy	Program
	8.6%	(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x y))) #s(approx (sin (/ x (* y 2))) (sin.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)))) (sin.f64 (/.f64 x y)))
	6.0%	(/.f64 (/.f64 (+.f64 (tan.f64 (/.f64 (/.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)) #s(literal 8 binary64)) (fma.f64 (PI.f64) (-.f64 (PI.f64) (/.f64 (/.f64 x #s(literal 2 binary64)) y)) (pow.f64 (/.f64 (/.f64 x #s(literal 2 binary64)) y) #s(literal 2 binary64))))) (tan.f64 (/.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) (fma.f64 (PI.f64) (-.f64 (PI.f64) (/.f64 (/.f64 x #s(literal 2 binary64)) y)) (pow.f64 (/.f64 (/.f64 x #s(literal 2 binary64)) y) #s(literal 2 binary64)))))) (-.f64 #s(literal 1 binary64) (.f64 (tan.f64 (/.f64 (/.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)) #s(literal 8 binary64)) (fma.f64 (PI.f64) (-.f64 (PI.f64) (/.f64 (/.f64 x #s(literal 2 binary64)) y)) (pow.f64 (/.f64 (/.f64 x #s(literal 2 binary64)) y) #s(literal 2 binary64))))) (tan.f64 (/.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) (fma.f64 (PI.f64) (-.f64 (PI.f64) (/.f64 (/.f64 x #s(literal 2 binary64)) y)) (pow.f64 (/.f64 (/.f64 x #s(literal 2 binary64)) y) #s(literal 2 binary64)))))))) #s(approx (sin (/ x ( y 2))) (sin.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x))))
	8.5%	(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (sin.f64 (/.f64 x y))) (/.f64 (cos.f64 (/.f64 x y)) (sin.f64 (/.f64 x y)))) #s(approx (sin (/ x (* y 2))) (sin.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x))))
	7.5%	(/.f64 (-.f64 #s(literal 1 binary64) (sin.f64 (+.f64 (/.f64 (neg.f64 x) y) (/.f64 (PI.f64) #s(literal 2 binary64))))) (.f64 (sin.f64 (/.f64 x y)) #s(approx (sin (/ x ( y 2))) (sin.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)))))
	7.5%	(/.f64 (-.f64 #s(literal 1 binary64) (sin.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 x y)))) (.f64 (sin.f64 (/.f64 x y)) #s(approx (sin (/ x ( y 2))) (sin.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)))))
	8.0%	(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x y))) (.f64 (sin.f64 (/.f64 x y)) #s(approx (sin (/ x ( y 2))) (sin.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) x) y)))))
	46.3%	(/.f64 (tan.f64 (/.f64 x (+.f64 y y))) #s(approx (sin (/ x (* y 2))) (sin.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x))))
✓	46.5%	(/.f64 (tan.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))))
	10.3%	(/.f64 (tan.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) #s(approx (sin (/ x ( y 2))) (fma.f64 (sin.f64 (.f64 (/.f64 #s(literal -1/2 binary64) y) x)) (cos.f64 (PI.f64)) (.f64 (cos.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)) (sin.f64 (PI.f64))))))
	9.1%	(/.f64 (tan.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) #s(approx (sin (/ x ( y 2))) (-.f64 (.f64 (sin.f64 (.f64 (/.f64 #s(literal -1/2 binary64) y) x)) (cos.f64 (PI.f64))) (.f64 (cos.f64 (.f64 (/.f64 #s(literal 1/2 binary64) y) x)) (sin.f64 (PI.f64))))))
	9.1%	(/.f64 (tan.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) #s(approx (sin (/ x ( y 2))) (-.f64 (.f64 (cos.f64 (.f64 (/.f64 #s(literal 1/2 binary64) y) x)) (cos.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)))) (.f64 (sin.f64 (.f64 (/.f64 #s(literal 1/2 binary64) y) x)) (sin.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)))))))
	9.2%	(/.f64 (tan.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) #s(approx (sin (/ x ( y 2))) (cos.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 x y) (/.f64 (PI.f64) #s(literal 2 binary64))))))
	7.9%	(/.f64 (tan.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) #s(approx (sin (/ x ( y 2))) (cos.f64 (+.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) y) x (/.f64 (PI.f64) #s(literal 2 binary64))) (PI.f64)))))
	8.3%	(/.f64 (tan.f64 (+.f64 (+.f64 (/.f64 (/.f64 x #s(literal 2 binary64)) y) (+.f64 (PI.f64) (PI.f64))) (PI.f64))) #s(approx (sin (/ x (* y 2))) (sin.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x))))
	45.9%	(/.f64 (sin.f64 (/.f64 x y)) (.f64 (+.f64 (cos.f64 (/.f64 x y)) #s(literal 1 binary64)) #s(approx (sin (/ x ( y 2))) (sin.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)))))
	8.3%	(/.f64 #s(approx (tan (/ x (* y 2))) (/.f64 (-.f64 (.f64 (sin.f64 (.f64 (/.f64 #s(literal -1/2 binary64) y) x)) (cos.f64 (PI.f64))) (.f64 (cos.f64 (.f64 (/.f64 #s(literal 1/2 binary64) y) x)) (sin.f64 (PI.f64)))) (cos.f64 (.f64 (/.f64 #s(literal 1/2 binary64) y) x)))) (sin.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))))
	8.3%	(/.f64 #s(approx (tan (/ x (* y 2))) (/.f64 (-.f64 (.f64 (cos.f64 (.f64 (/.f64 #s(literal 1/2 binary64) y) x)) (cos.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)))) (.f64 (sin.f64 (.f64 (/.f64 #s(literal 1/2 binary64) y) x)) (sin.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64))))) (cos.f64 (.f64 (/.f64 #s(literal 1/2 binary64) y) x)))) (sin.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))))
	46.0%	(/.f64 #s(approx (tan (/ x (* y 2))) (/.f64 (sin.f64 (.f64 (/.f64 #s(literal 1/2 binary64) y) x)) (sin.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 x y) (/.f64 (PI.f64) #s(literal 2 binary64)))))) (sin.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))))
	46.4%	(/.f64 #s(approx (tan (/ x (* y 2))) (/.f64 (sin.f64 (.f64 (/.f64 #s(literal 1/2 binary64) y) x)) (cos.f64 (/.f64 (.f64 #s(literal 1/2 binary64) x) y)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
	9.0%	(/.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)))) (fma.f64 (sin.f64 (/.f64 (/.f64 x #s(literal 2 binary64)) y)) (cos.f64 (+.f64 (PI.f64) (PI.f64))) (*.f64 (cos.f64 (/.f64 (/.f64 x y) #s(literal -2 binary64))) (sin.f64 (+.f64 (PI.f64) (PI.f64))))))
	9.3%	(/.f64 #s(approx (tan (/ x (* y 2))) (/.f64 (sin.f64 (.f64 (/.f64 #s(literal 1/2 binary64) y) x)) (cos.f64 (.f64 (/.f64 #s(literal 1/2 binary64) y) x)))) (sin.f64 (+.f64 (/.f64 (/.f64 x y) #s(literal -2 binary64)) (PI.f64))))
	7.9%	(/.f64 #s(approx (tan (/ x (* y 2))) (/.f64 (sin.f64 (.f64 (/.f64 #s(literal 1/2 binary64) y) x)) (cos.f64 (.f64 (/.f64 #s(literal 1/2 binary64) y) x)))) (cos.f64 (+.f64 (/.f64 (+.f64 (/.f64 x y) (PI.f64)) #s(literal 2 binary64)) (PI.f64))))
	45.3%	(/.f64 #s(approx (tan (/ x (* y 2))) (/.f64 (sin.f64 (.f64 (/.f64 #s(literal -1/2 binary64) y) x)) (cos.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 x y) (PI.f64))))) (sin.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))))
	9.9%	(/.f64 #s(approx (tan (/ x (* y 2))) (/.f64 (cos.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 x y) (/.f64 (PI.f64) #s(literal 2 binary64)))) (cos.f64 (.f64 (/.f64 #s(literal 1/2 binary64) y) x)))) (sin.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))))
	8.7%	(-.f64 (pow.f64 (.f64 #s(approx (sin (/ x ( y 2))) (sin.f64 (.f64 (/.f64 #s(literal 1/2 binary64) y) x))) (sin.f64 (/.f64 x y))) #s(literal -1 binary64)) (/.f64 (cos.f64 (/.f64 x y)) (.f64 #s(approx (sin (/ x (* y 2))) (sin.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x))) (sin.f64 (/.f64 x y)))))
	51.3%	#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (fma.f64 (/.f64 (*.f64 (/.f64 #s(literal 1/8 binary64) y) x) y) x #s(literal 1 binary64)))
✓	47.1%	#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (fma.f64 (.f64 x x) (/.f64 #s(literal 1/8 binary64) (.f64 y y)) #s(literal 1 binary64)))
	55.8%	#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (pow.f64 (pow.f64 (cos.f64 (*.f64 (/.f64 x y) #s(literal -1/2 binary64))) #s(literal 2 binary64)) #s(literal -1/2 binary64)))
	54.1%	#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (pow.f64 (pow.f64 (cos.f64 (*.f64 (/.f64 x y) #s(literal -1/2 binary64))) #s(literal -1/2 binary64)) #s(literal 2 binary64)))
	55.7%	#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (pow.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (*.f64 (/.f64 #s(literal 1/2 binary64) y) x))))) #s(literal -1/2 binary64)))
	55.1%	#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 (.f64 (sin.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)))) (cos.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 (cos.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)))) (sin.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)))))) (cos.f64 (PI.f64)) (.f64 (sin.f64 (.f64 (/.f64 #s(literal 1/2 binary64) y) x)) (sin.f64 (PI.f64))))))
	56.8%	#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (fma.f64 (sin.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 x y) (PI.f64))) (cos.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)) (PI.f64))) (.f64 (cos.f64 (.f64 (/.f64 #s(literal 1/2 binary64) y) x)) (sin.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)) (PI.f64)))))))
	56.0%	#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (fma.f64 (sin.f64 (-.f64 (.f64 (/.f64 x y) #s(literal -1/2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64)))) (cos.f64 (PI.f64)) (.f64 (sin.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)) (sin.f64 (PI.f64))))))
	56.4%	#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (fma.f64 (sin.f64 (+.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) y) x (/.f64 (PI.f64) #s(literal 2 binary64))) (PI.f64))) (cos.f64 (PI.f64)) (*.f64 (sin.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 x y) (PI.f64))) (sin.f64 (PI.f64))))))
	56.4%	#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (fma.f64 (sin.f64 (+.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) y) x (/.f64 (PI.f64) #s(literal 2 binary64))) (PI.f64))) (cos.f64 (PI.f64)) (*.f64 (cos.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 x y) (/.f64 (PI.f64) #s(literal 2 binary64)))) (sin.f64 (PI.f64))))))
	56.4%	#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (fma.f64 (sin.f64 (+.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) y) x (/.f64 (PI.f64) #s(literal 2 binary64))) (PI.f64))) #s(literal -1 binary64) (.f64 (sin.f64 (.f64 (/.f64 #s(literal 1/2 binary64) y) x)) (sin.f64 (PI.f64))))))
	56.8%	#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (fma.f64 (sin.f64 (.f64 (/.f64 #s(literal 1/2 binary64) y) x)) (cos.f64 (fma.f64 (sqrt.f64 (PI.f64)) (+.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64))) (/.f64 (PI.f64) #s(literal 2 binary64)))) (.f64 (cos.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)) (sin.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)) (PI.f64)))))))
	56.8%	#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (fma.f64 (sin.f64 (.f64 (/.f64 #s(literal 1/2 binary64) y) x)) (cos.f64 (/.f64 (-.f64 (pow.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)) #s(literal 2 binary64)) (.f64 (PI.f64) (PI.f64))) (-.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)) (PI.f64)))) (.f64 (cos.f64 (.f64 (/.f64 #s(literal 1/2 binary64) y) x)) (sin.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)) (PI.f64)))))))
	56.8%	#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (fma.f64 (sin.f64 (.f64 (/.f64 #s(literal 1/2 binary64) y) x)) (cos.f64 (/.f64 (+.f64 (pow.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)) #s(literal 3 binary64)) (pow.f64 (PI.f64) #s(literal 3 binary64))) (fma.f64 (PI.f64) (-.f64 (PI.f64) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64))) (pow.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)) #s(literal 2 binary64))))) (.f64 (cos.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)) (sin.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)) (PI.f64)))))))
	56.8%	#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (fma.f64 (sin.f64 (.f64 (/.f64 #s(literal 1/2 binary64) y) x)) (cos.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)) (PI.f64))) (.f64 (cos.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)) #s(literal 1 binary64)))))
	55.9%	#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 x y) (PI.f64))) #s(literal -1 binary64) (*.f64 (sin.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 x y) (PI.f64))) (sin.f64 (PI.f64))))))
✓	55.9%	#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 x y) (PI.f64))) #s(literal -1 binary64) (.f64 (sin.f64 (.f64 (/.f64 #s(literal 1/2 binary64) y) x)) (sin.f64 (PI.f64))))))
	55.9%	#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 x y) (PI.f64))) #s(literal -1 binary64) (*.f64 (cos.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 x y) (/.f64 (PI.f64) #s(literal 2 binary64)))) (sin.f64 (PI.f64))))))
	54.5%	#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(approx (cos (+ (* -1/2 (/ x y)) (PI))) #s(literal -1 binary64)) #s(literal -1 binary64) (.f64 (sin.f64 (.f64 (/.f64 #s(literal 1/2 binary64) y) x)) (sin.f64 (PI.f64))))))
	56.3%	#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (+.f64 (cos.f64 (fma.f64 (/.f64 x y) #s(literal 1/2 binary64) (PI.f64))) (cos.f64 (.f64 #s(literal -1/2 binary64) (/.f64 x y)))) (+.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 2 binary64))))
	55.6%	#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (pow.f64 (cos.f64 (*.f64 (/.f64 x y) #s(literal -1/2 binary64))) #s(literal 2 binary64))) (cos.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) y) x (PI.f64))))))
	56.6%	#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (-.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) (/.f64 x y))) (.f64 (sin.f64 (*.f64 x (/.f64 #s(literal 1/2 binary64) y))) (sin.f64 (neg.f64 (PI.f64)))))))
	56.7%	#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (+.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) (/.f64 x y))) (.f64 (sin.f64 (*.f64 x (/.f64 #s(literal 1/2 binary64) y))) (sin.f64 (neg.f64 (PI.f64)))))))
	56.3%	#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))))))
	56.5%	#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (sin.f64 (fma.f64 (neg.f64 x) (/.f64 #s(literal 1/2 binary64) y) (/.f64 (PI.f64) #s(literal 2 binary64))))))
	54.1%	#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (sin.f64 (/.f64 (fma.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 (/.f64 x y) #s(literal 3 binary64)) (pow.f64 (PI.f64) #s(literal 3 binary64))) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)) (.f64 (fma.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64)) (-.f64 (.f64 (PI.f64) (PI.f64)) (.f64 (.f64 (/.f64 #s(literal 1/2 binary64) y) x) (PI.f64)))) (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) (.f64 (PI.f64) (PI.f64))))) (.f64 (fma.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64)) (-.f64 (.f64 (PI.f64) (PI.f64)) (.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x) (PI.f64)))) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)))))))
	54.4%	#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (sin.f64 (/.f64 (fma.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)) #s(literal 1/8 binary64) (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64))) (fma.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (.f64 x (/.f64 #s(literal 1/2 binary64) y))) (pow.f64 (.f64 #s(literal -1/2 binary64) (/.f64 x y)) #s(literal 2 binary64)))))))
	56.8%	#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (sin.f64 (+.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 x y) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64))) (PI.f64)))))
	54.7%	#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (sin.f64 (+.f64 (/.f64 (fma.f64 (fma.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64)) (.f64 (neg.f64 (PI.f64)) (PI.f64))) #s(literal 2 binary64) (.f64 (-.f64 (.f64 (/.f64 #s(literal 1/2 binary64) y) x) (PI.f64)) (PI.f64))) (.f64 (-.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x) (PI.f64)) #s(literal 2 binary64))) (PI.f64)))))
	56.1%	#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (sin.f64 (+.f64 (/.f64 (fma.f64 (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) (.f64 (PI.f64) (PI.f64))) y (.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)) (.f64 #s(literal 1/2 binary64) x))) (.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)) y)) (PI.f64)))))
	54.2%	#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (sin.f64 (+.f64 (/.f64 (pow.f64 (.f64 (/.f64 x y) #s(literal -1/2 binary64)) #s(literal 3 binary64)) (fma.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64)) (.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (.f64 (/.f64 x y) #s(literal -1/2 binary64)))))) (/.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))))))))))
	56.3%	#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (sin.f64 (+.f64 (+.f64 (fma.f64 #s(literal 2 binary64) (PI.f64) (fma.f64 (/.f64 #s(literal 1/2 binary64) y) x (/.f64 (PI.f64) #s(literal 2 binary64)))) (PI.f64)) (PI.f64)))))
	51.1%	#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (sin.f64 (+.f64 (+.f64 (/.f64 (fma.f64 (pow.f64 (.f64 (/.f64 x y) #s(literal -1/2 binary64)) #s(literal 3 binary64)) (fma.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64)) (.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (fma.f64 (/.f64 x y) #s(literal -1/2 binary64) (/.f64 (PI.f64) #s(literal 2 binary64))))) (.f64 (fma.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64)) (.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (fma.f64 (/.f64 x y) #s(literal -1/2 binary64) (/.f64 (PI.f64) #s(literal 2 binary64))))) (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64)))) (pow.f64 (fma.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64)) (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (fma.f64 (/.f64 x y) #s(literal -1/2 binary64) (/.f64 (PI.f64) #s(literal 2 binary64))))) #s(literal 2 binary64))) (PI.f64)) (PI.f64)))))
	56.1%	#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (sin.f64 (neg.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 x y) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)))))))
	56.4%	#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (sin.f64 (neg.f64 (+.f64 (fma.f64 #s(literal 2 binary64) (PI.f64) (fma.f64 (/.f64 #s(literal 1/2 binary64) y) x (/.f64 (PI.f64) #s(literal 2 binary64)))) (PI.f64))))))
	56.0%	#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (sin.f64 #s(approx (+ (+ (+ (* (/ 1/2 y) x) (/ (PI) 2)) (PI)) (PI)) (fma.f64 (/.f64 x y) #s(literal 1/2 binary64) (*.f64 (PI.f64) #s(literal 5/2 binary64)))))))
	56.3%	#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)))))
	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)) (*.f64 (/.f64 x y) #s(literal -1/2 binary64))))))
	56.7%	#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)))))))
	56.0%	#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)) (*.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 x y) (PI.f64)))))))
	56.6%	#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) x) y))))
	56.7%	#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 (fma.f64 (/.f64 x y) #s(literal 1/2 binary64) (PI.f64)) (PI.f64)))))
	56.6%	#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 (fma.f64 (/.f64 x y) #s(literal -1/2 binary64) (PI.f64)) (PI.f64)))))
	56.8%	#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 (+.f64 (fma.f64 #s(literal 2 binary64) (PI.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)))))
✓	56.8%	#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x))))
	50.2%	#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) #s(approx (+ (* (cos (+ (* -1/2 (/ x y)) (PI))) (cos (PI))) (* (sin (* (/ 1/2 y) x)) (sin (PI)))) (fma.f64 (/.f64 #s(literal -1/8 binary64) y) (/.f64 (*.f64 x x) y) #s(literal 1 binary64)))))
	49.5%	#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) #s(approx (+ (* (cos (+ (* -1/2 (/ x y)) (PI))) (cos (PI))) (* (sin (* (/ 1/2 y) x)) (sin (PI)))) (fma.f64 (.f64 (/.f64 x (.f64 y y)) #s(literal -1/8 binary64)) x #s(literal 1 binary64)))))
	47.4%	#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) #s(approx (+ (* (cos (+ (* -1/2 (/ x y)) (PI))) -1) (* (sin (* (/ 1/2 y) x)) (sin (PI)))) (fma.f64 (.f64 x x) (/.f64 #s(literal -1/8 binary64) (.f64 y y)) #s(literal 1 binary64)))))
	50.2%	#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) #s(approx (+ (* (cos (+ (* -1/2 (/ x y)) (PI))) -1) (* (sin (* (/ 1/2 y) x)) (sin (PI)))) (+.f64 (/.f64 (/.f64 (fma.f64 (*.f64 x x) #s(literal -1/8 binary64) #s(literal 0 binary64)) y) y) #s(literal 1 binary64)))))
	52.0%	#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) #s(approx (sin (+ (* -1/2 (/ x y)) (/ (PI) 2))) (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)))))))
	51.6%	#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) #s(approx (cos (* (/ 1/2 y) x)) (fma.f64 (/.f64 (*.f64 #s(literal -1/8 binary64) x) y) (/.f64 x y) #s(literal 1 binary64)))))
	55.9%	#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal -1 binary64) (cos.f64 (fma.f64 (/.f64 x y) #s(literal 1/2 binary64) (PI.f64)))))
	55.7%	#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal -1 binary64) (cos.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) y) x (PI.f64)))))
	55.9%	#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)))))
	51.8%	#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(approx (/ 1 (sin (+ (* -1/2 (/ x y)) (/ (PI) 2)))) (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)))))))
	51.8%	#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(approx (/ 1 (sin (+ (neg (* (/ x y) -1/2)) (/ (PI) 2)))) (fma.f64 (/.f64 #s(literal -1/2 binary64) y) (.f64 x (/.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) (PI.f64))) (pow.f64 (sin.f64 (.f64 (PI.f64) #s(literal 1/2 binary64))) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (sin.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)))))))
✓	55.5%	#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(literal 1 binary64))
✓	3.1%	#s(literal 0 binary64)

Compiler

Compiled 7 592 to 2 592 computations (65.9% saved)

regimes230.0ms (2.3%)

Memory

12.0MiB live, 240.2MiB allocated; 30ms collecting garbage

Counts

119 → 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)))) (fma.f64 (.f64 x x) (/.f64 #s(literal 1/8 binary64) (.f64 y y)) #s(literal 1 binary64)))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (fma.f64 (/.f64 #s(literal 1/8 binary64) y) (/.f64 (*.f64 x x) y) #s(literal 1 binary64)))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (fma.f64 (/.f64 (*.f64 (/.f64 #s(literal 1/8 binary64) y) x) y) x #s(literal 1 binary64)))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) #s(approx (+ (* (cos (+ (* -1/2 (/ x y)) (PI))) -1) (* (sin (* (/ 1/2 y) x)) (sin (PI)))) (fma.f64 (.f64 x x) (/.f64 #s(literal -1/8 binary64) (.f64 y y)) #s(literal 1 binary64)))))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) #s(approx (+ (* (cos (+ (* -1/2 (/ x y)) (PI))) (cos (PI))) (* (sin (* (/ 1/2 y) x)) (sin (PI)))) (fma.f64 (.f64 (/.f64 x (.f64 y y)) #s(literal -1/8 binary64)) x #s(literal 1 binary64)))))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) #s(approx (+ (* (cos (+ (* -1/2 (/ x y)) (PI))) (cos (PI))) (* (sin (* (/ 1/2 y) x)) (sin (PI)))) (fma.f64 (fma.f64 (/.f64 #s(literal -1/8 binary64) (*.f64 y y)) x #s(literal 0 binary64)) x #s(literal 1 binary64)))))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) #s(approx (cos (* (/ 1/2 y) x)) (fma.f64 (/.f64 (*.f64 #s(literal -1/8 binary64) x) y) (/.f64 x y) #s(literal 1 binary64)))))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) #s(approx (+ (* (cos (+ (* -1/2 (/ x y)) (PI))) (cos (PI))) (* (sin (* (/ 1/2 y) x)) (sin (PI)))) (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 (/ x y)) (PI))) -1) (* (sin (* (/ 1/2 y) x)) (sin (PI)))) (+.f64 (/.f64 (/.f64 (fma.f64 (*.f64 x x) #s(literal -1/8 binary64) #s(literal 0 binary64)) y) y) #s(literal 1 binary64)))))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) #s(approx (+ (* (cos (+ (* -1/2 (/ x y)) (PI))) (cos (PI))) (* (sin (* (/ 1/2 y) x)) (sin (PI)))) (+.f64 (/.f64 (fma.f64 (/.f64 (*.f64 x x) y) #s(literal 1/8 binary64) #s(literal 0 binary64)) (neg.f64 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)) (*.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 #s(literal 1/2 binary64) y) x (PI.f64)))))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal -1 binary64) (cos.f64 (fma.f64 (/.f64 x y) #s(literal 1/2 binary64) (PI.f64)))))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (sin.f64 #s(approx (+ (neg (* (/ x y) -1/2)) (/ (PI) 2)) (*.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 x y) (PI.f64)))))))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (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 x y) #s(literal -1/2 binary64) (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 x y) #s(literal 1/2 binary64) (PI.f64)) (PI.f64)))))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (sin.f64 #s(approx (+ (+ (+ (* (/ 1/2 y) x) (/ (PI) 2)) (PI)) (PI)) (fma.f64 (/.f64 x y) #s(literal 1/2 binary64) (*.f64 (PI.f64) #s(literal 5/2 binary64)))))))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (sin.f64 #s(approx (+ (* -1/2 (/ x y)) (/ (PI) 2)) (/.f64 (.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 (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 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)))))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (sin.f64 (fma.f64 (neg.f64 x) (/.f64 #s(literal 1/2 binary64) y) (/.f64 (PI.f64) #s(literal 2 binary64))))))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (sin.f64 (+.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 (fma.f64 #s(literal -1/2 binary64) (/.f64 x y) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)))))))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (sin.f64 (+.f64 (+.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) y) x (/.f64 (PI.f64) #s(literal 2 binary64))) (PI.f64)) (PI.f64)))))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (sin.f64 (+.f64 (+.f64 (fma.f64 (/.f64 x y) #s(literal -1/2 binary64) (/.f64 (PI.f64) #s(literal 2 binary64))) (PI.f64)) (PI.f64)))))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (sin.f64 (+.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 x y) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64))) (PI.f64)))))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (sin.f64 (neg.f64 (+.f64 (fma.f64 #s(literal 2 binary64) (PI.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 (+.f64 (+.f64 (fma.f64 #s(literal 2 binary64) (PI.f64) (fma.f64 (/.f64 #s(literal 1/2 binary64) y) x (/.f64 (PI.f64) #s(literal 2 binary64)))) (PI.f64)) (PI.f64)))))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 (+.f64 (fma.f64 #s(literal 2 binary64) (PI.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)))))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (pow.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (*.f64 (/.f64 #s(literal 1/2 binary64) y) x))))) #s(literal -1/2 binary64)))
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#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (fma.f64 (sin.f64 (.f64 (/.f64 #s(literal 1/2 binary64) y) x)) (cos.f64 (/.f64 (-.f64 (pow.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)) #s(literal 2 binary64)) (.f64 (PI.f64) (PI.f64))) (-.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)) (PI.f64)))) (.f64 (cos.f64 (.f64 (/.f64 #s(literal 1/2 binary64) y) x)) (sin.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)) (PI.f64)))))))
(-.f64 (pow.f64 (.f64 #s(approx (sin (/ x ( y 2))) (sin.f64 (.f64 (/.f64 #s(literal 1/2 binary64) y) x))) (sin.f64 (/.f64 x y))) #s(literal -1 binary64)) (/.f64 (cos.f64 (/.f64 x y)) (.f64 #s(approx (sin (/ x (* y 2))) (sin.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x))) (sin.f64 (/.f64 x y)))))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (sin.f64 (+.f64 (/.f64 (pow.f64 (.f64 (/.f64 x y) #s(literal -1/2 binary64)) #s(literal 3 binary64)) (fma.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64)) (.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (.f64 (/.f64 x y) #s(literal -1/2 binary64)))))) (/.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 #s(approx (tan (/ x (* y 2))) (/.f64 (fma.f64 (sin.f64 (.f64 (/.f64 #s(literal -1/2 binary64) y) x)) (cos.f64 (PI.f64)) (.f64 (cos.f64 (.f64 (/.f64 #s(literal 1/2 binary64) y) x)) (sin.f64 (PI.f64)))) (cos.f64 (.f64 (/.f64 #s(literal 1/2 binary64) y) x)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
(/.f64 #s(approx (tan (/ x (* y 2))) (/.f64 (sin.f64 (.f64 (/.f64 #s(literal 1/2 binary64) y) x)) (fma.f64 (cos.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 x y) (PI.f64))) (cos.f64 (PI.f64)) (.f64 (sin.f64 (.f64 (/.f64 #s(literal -1/2 binary64) y) x)) (sin.f64 (PI.f64)))))) (sin.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))))
(/.f64 #s(approx (tan (/ x (* y 2))) (/.f64 (-.f64 (.f64 (sin.f64 (.f64 (/.f64 #s(literal -1/2 binary64) y) x)) (cos.f64 (PI.f64))) (.f64 (cos.f64 (.f64 (/.f64 #s(literal 1/2 binary64) y) x)) (sin.f64 (PI.f64)))) (cos.f64 (.f64 (/.f64 #s(literal 1/2 binary64) y) x)))) (sin.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))))
(/.f64 #s(approx (tan (/ x (* y 2))) (/.f64 (sin.f64 (.f64 (/.f64 #s(literal 1/2 binary64) y) x)) (cos.f64 (.f64 (/.f64 #s(literal 1/2 binary64) y) x)))) (fma.f64 (sin.f64 (/.f64 (/.f64 x y) #s(literal -2 binary64))) (cos.f64 (PI.f64)) (*.f64 (cos.f64 (/.f64 (/.f64 x y) #s(literal -2 binary64))) (sin.f64 (PI.f64)))))
(/.f64 #s(approx (tan (/ x (* y 2))) (/.f64 (sin.f64 (.f64 (/.f64 #s(literal 1/2 binary64) y) x)) (cos.f64 (.f64 (/.f64 #s(literal 1/2 binary64) y) x)))) (fma.f64 (sin.f64 (/.f64 (/.f64 x #s(literal 2 binary64)) y)) (cos.f64 (+.f64 (PI.f64) (PI.f64))) (*.f64 (cos.f64 (/.f64 (/.f64 x y) #s(literal -2 binary64))) (sin.f64 (+.f64 (PI.f64) (PI.f64))))))
(/.f64 #s(approx (tan (/ x (* y 2))) (/.f64 (-.f64 (.f64 (cos.f64 (.f64 (/.f64 #s(literal 1/2 binary64) y) x)) (cos.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)))) (.f64 (sin.f64 (.f64 (/.f64 #s(literal 1/2 binary64) y) x)) (sin.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64))))) (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) (sin.f64 (/.f64 (fma.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 (/.f64 x y) #s(literal 3 binary64)) (pow.f64 (PI.f64) #s(literal 3 binary64))) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)) (.f64 (fma.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64)) (-.f64 (.f64 (PI.f64) (PI.f64)) (.f64 (.f64 (/.f64 #s(literal 1/2 binary64) y) x) (PI.f64)))) (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) (.f64 (PI.f64) (PI.f64))))) (.f64 (fma.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64)) (-.f64 (.f64 (PI.f64) (PI.f64)) (.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x) (PI.f64)))) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)))))))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (fma.f64 (sin.f64 (.f64 (/.f64 #s(literal 1/2 binary64) y) x)) (cos.f64 (/.f64 (+.f64 (pow.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)) #s(literal 3 binary64)) (pow.f64 (PI.f64) #s(literal 3 binary64))) (fma.f64 (PI.f64) (-.f64 (PI.f64) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64))) (pow.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)) #s(literal 2 binary64))))) (.f64 (cos.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)) (sin.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)) (PI.f64)))))))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (sin.f64 (+.f64 (+.f64 (/.f64 (fma.f64 (pow.f64 (.f64 (/.f64 x y) #s(literal -1/2 binary64)) #s(literal 3 binary64)) (fma.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64)) (.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (fma.f64 (/.f64 x y) #s(literal -1/2 binary64) (/.f64 (PI.f64) #s(literal 2 binary64))))) (.f64 (fma.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64)) (.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (fma.f64 (/.f64 x y) #s(literal -1/2 binary64) (/.f64 (PI.f64) #s(literal 2 binary64))))) (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64)))) (pow.f64 (fma.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64)) (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (fma.f64 (/.f64 x y) #s(literal -1/2 binary64) (/.f64 (PI.f64) #s(literal 2 binary64))))) #s(literal 2 binary64))) (PI.f64)) (PI.f64)))))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 (.f64 (sin.f64 (/.f64 (pow.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) y) x (/.f64 (PI.f64) #s(literal 2 binary64))) #s(literal 2 binary64)) (-.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) y) x (/.f64 (PI.f64) #s(literal 2 binary64))) (PI.f64)))) (cos.f64 (/.f64 (.f64 (PI.f64) (PI.f64)) (-.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) y) x (/.f64 (PI.f64) #s(literal 2 binary64))) (PI.f64))))) (.f64 (cos.f64 (/.f64 (pow.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) y) x (/.f64 (PI.f64) #s(literal 2 binary64))) #s(literal 2 binary64)) (-.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) y) x (/.f64 (PI.f64) #s(literal 2 binary64))) (PI.f64)))) (sin.f64 (/.f64 (.f64 (PI.f64) (PI.f64)) (-.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) y) x (/.f64 (PI.f64) #s(literal 2 binary64))) (PI.f64)))))) (cos.f64 (PI.f64)) (.f64 (sin.f64 (.f64 (/.f64 #s(literal 1/2 binary64) y) x)) (sin.f64 (PI.f64))))))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 (.f64 (sin.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)))) (cos.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 (cos.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)))) (sin.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)))))) (cos.f64 (PI.f64)) (.f64 (sin.f64 (.f64 (/.f64 #s(literal 1/2 binary64) y) x)) (sin.f64 (PI.f64))))))
(/.f64 (-.f64 (pow.f64 (.f64 #s(approx (sin (/ x ( y 2))) (sin.f64 (.f64 (/.f64 #s(literal 1/2 binary64) y) x))) (sin.f64 (/.f64 x y))) #s(literal -2 binary64)) (pow.f64 (/.f64 (cos.f64 (/.f64 x y)) (.f64 #s(approx (sin (/ x (* y 2))) (sin.f64 (.f64 (/.f64 #s(literal 1/2 binary64) y) x))) (sin.f64 (/.f64 x y)))) #s(literal 2 binary64))) (+.f64 (pow.f64 (.f64 #s(approx (sin (/ x (* y 2))) (sin.f64 (.f64 (/.f64 #s(literal 1/2 binary64) y) x))) (sin.f64 (/.f64 x y))) #s(literal -1 binary64)) (/.f64 (cos.f64 (/.f64 x y)) (.f64 #s(approx (sin (/ x (* y 2))) (sin.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x))) (sin.f64 (/.f64 x y))))))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (fma.f64 (sin.f64 (/.f64 (pow.f64 (.f64 (/.f64 #s(literal 1/2 binary64) y) x) #s(literal 3 binary64)) (fma.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (.f64 (/.f64 #s(literal 1/2 binary64) y) x)) (pow.f64 (.f64 (/.f64 #s(literal 1/2 binary64) y) x) #s(literal 2 binary64))))) (cos.f64 (/.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64)) (fma.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (.f64 (/.f64 #s(literal 1/2 binary64) y) x)) (pow.f64 (.f64 (/.f64 #s(literal 1/2 binary64) y) x) #s(literal 2 binary64))))) (.f64 (cos.f64 (/.f64 (pow.f64 (.f64 (/.f64 #s(literal 1/2 binary64) y) x) #s(literal 3 binary64)) (fma.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (.f64 (/.f64 #s(literal 1/2 binary64) y) x)) (pow.f64 (.f64 (/.f64 #s(literal 1/2 binary64) y) x) #s(literal 2 binary64))))) (sin.f64 (/.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64)) (fma.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (.f64 (/.f64 #s(literal 1/2 binary64) y) x)) (pow.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x) #s(literal 2 binary64)))))))))
(/.f64 (/.f64 (+.f64 (tan.f64 (/.f64 (/.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)) #s(literal 8 binary64)) (fma.f64 (PI.f64) (-.f64 (PI.f64) (/.f64 (/.f64 x #s(literal 2 binary64)) y)) (pow.f64 (/.f64 (/.f64 x #s(literal 2 binary64)) y) #s(literal 2 binary64))))) (tan.f64 (/.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) (fma.f64 (PI.f64) (-.f64 (PI.f64) (/.f64 (/.f64 x #s(literal 2 binary64)) y)) (pow.f64 (/.f64 (/.f64 x #s(literal 2 binary64)) y) #s(literal 2 binary64)))))) (-.f64 #s(literal 1 binary64) (.f64 (tan.f64 (/.f64 (/.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)) #s(literal 8 binary64)) (fma.f64 (PI.f64) (-.f64 (PI.f64) (/.f64 (/.f64 x #s(literal 2 binary64)) y)) (pow.f64 (/.f64 (/.f64 x #s(literal 2 binary64)) y) #s(literal 2 binary64))))) (tan.f64 (/.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) (fma.f64 (PI.f64) (-.f64 (PI.f64) (/.f64 (/.f64 x #s(literal 2 binary64)) y)) (pow.f64 (/.f64 (/.f64 x #s(literal 2 binary64)) y) #s(literal 2 binary64)))))))) #s(approx (sin (/ x ( y 2))) (sin.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x))))

Outputs

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

Calls

5 calls:

61.0ms	x
50.0ms	y
48.0ms	(/.f64 x (*.f64 y #s(literal 2 binary64)))
33.0ms	(/.f64 (tan.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))))
32.0ms	(*.f64 y #s(literal 2 binary64))

Results

Accuracy	Segments	Branch
56.8%	1	`(*.f64 y #s(literal 2 binary64))`
56.8%	1	`(/.f64 x (*.f64 y #s(literal 2 binary64)))`
56.8%	1	`(/.f64 (tan.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))))`
56.8%	1	`x`
56.8%	1	`y`

Compiler

Compiled 23 to 21 computations (8.7% saved)

regimes180.0ms (1.8%)

Memory

-1.9MiB live, 239.7MiB allocated; 15ms collecting garbage

Counts

102 → 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)))) (fma.f64 (.f64 x x) (/.f64 #s(literal 1/8 binary64) (.f64 y y)) #s(literal 1 binary64)))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (fma.f64 (/.f64 #s(literal 1/8 binary64) y) (/.f64 (*.f64 x x) y) #s(literal 1 binary64)))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (fma.f64 (/.f64 (*.f64 (/.f64 #s(literal 1/8 binary64) y) x) y) x #s(literal 1 binary64)))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) #s(approx (+ (* (cos (+ (* -1/2 (/ x y)) (PI))) -1) (* (sin (* (/ 1/2 y) x)) (sin (PI)))) (fma.f64 (.f64 x x) (/.f64 #s(literal -1/8 binary64) (.f64 y y)) #s(literal 1 binary64)))))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) #s(approx (+ (* (cos (+ (* -1/2 (/ x y)) (PI))) (cos (PI))) (* (sin (* (/ 1/2 y) x)) (sin (PI)))) (fma.f64 (.f64 (/.f64 x (.f64 y y)) #s(literal -1/8 binary64)) x #s(literal 1 binary64)))))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) #s(approx (+ (* (cos (+ (* -1/2 (/ x y)) (PI))) (cos (PI))) (* (sin (* (/ 1/2 y) x)) (sin (PI)))) (fma.f64 (fma.f64 (/.f64 #s(literal -1/8 binary64) (*.f64 y y)) x #s(literal 0 binary64)) x #s(literal 1 binary64)))))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) #s(approx (cos (* (/ 1/2 y) x)) (fma.f64 (/.f64 (*.f64 #s(literal -1/8 binary64) x) y) (/.f64 x y) #s(literal 1 binary64)))))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) #s(approx (+ (* (cos (+ (* -1/2 (/ x y)) (PI))) (cos (PI))) (* (sin (* (/ 1/2 y) x)) (sin (PI)))) (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 (/ x y)) (PI))) -1) (* (sin (* (/ 1/2 y) x)) (sin (PI)))) (+.f64 (/.f64 (/.f64 (fma.f64 (*.f64 x x) #s(literal -1/8 binary64) #s(literal 0 binary64)) y) y) #s(literal 1 binary64)))))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) #s(approx (+ (* (cos (+ (* -1/2 (/ x y)) (PI))) (cos (PI))) (* (sin (* (/ 1/2 y) x)) (sin (PI)))) (+.f64 (/.f64 (fma.f64 (/.f64 (*.f64 x x) y) #s(literal 1/8 binary64) #s(literal 0 binary64)) (neg.f64 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)) (*.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 #s(literal 1/2 binary64) y) x (PI.f64)))))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal -1 binary64) (cos.f64 (fma.f64 (/.f64 x y) #s(literal 1/2 binary64) (PI.f64)))))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (sin.f64 #s(approx (+ (neg (* (/ x y) -1/2)) (/ (PI) 2)) (*.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 x y) (PI.f64)))))))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (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 x y) #s(literal -1/2 binary64) (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 x y) #s(literal 1/2 binary64) (PI.f64)) (PI.f64)))))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (sin.f64 #s(approx (+ (+ (+ (* (/ 1/2 y) x) (/ (PI) 2)) (PI)) (PI)) (fma.f64 (/.f64 x y) #s(literal 1/2 binary64) (*.f64 (PI.f64) #s(literal 5/2 binary64)))))))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (sin.f64 #s(approx (+ (* -1/2 (/ x y)) (/ (PI) 2)) (/.f64 (.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 (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))))))
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#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (fma.f64 (sin.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 x y) (PI.f64))) (cos.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)) (PI.f64))) (.f64 (cos.f64 (.f64 (/.f64 #s(literal 1/2 binary64) y) x)) (sin.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)) (PI.f64)))))))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (+.f64 (cos.f64 (fma.f64 (/.f64 x y) #s(literal 1/2 binary64) (PI.f64))) (cos.f64 (.f64 #s(literal -1/2 binary64) (/.f64 x y)))) (+.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 2 binary64))))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (sin.f64 (/.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 (/.f64 x y) #s(literal 3 binary64)) (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64))) (fma.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64)) (.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (.f64 (/.f64 x y) #s(literal -1/2 binary64)))))))))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (sin.f64 (/.f64 (fma.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)) #s(literal 1/8 binary64) (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64))) (fma.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (.f64 x (/.f64 #s(literal 1/2 binary64) y))) (pow.f64 (.f64 #s(literal -1/2 binary64) (/.f64 x y)) #s(literal 2 binary64)))))))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (fma.f64 (sin.f64 (.f64 (/.f64 #s(literal 1/2 binary64) y) x)) (cos.f64 (fma.f64 (sqrt.f64 (PI.f64)) (+.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64))) (/.f64 (PI.f64) #s(literal 2 binary64)))) (.f64 (cos.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)) (sin.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)) (PI.f64)))))))
(/.f64 (tan.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) #s(approx (sin (/ x ( y 2))) (fma.f64 (sin.f64 (.f64 (/.f64 #s(literal -1/2 binary64) y) x)) (cos.f64 (PI.f64)) (.f64 (cos.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)) (sin.f64 (PI.f64))))))
(/.f64 (tan.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) #s(approx (sin (/ x ( y 2))) (-.f64 (.f64 (sin.f64 (.f64 (/.f64 #s(literal -1/2 binary64) y) x)) (cos.f64 (PI.f64))) (.f64 (cos.f64 (.f64 (/.f64 #s(literal 1/2 binary64) y) x)) (sin.f64 (PI.f64))))))
(/.f64 (tan.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) #s(approx (sin (/ x ( y 2))) (-.f64 (.f64 (cos.f64 (.f64 (/.f64 #s(literal 1/2 binary64) y) x)) (cos.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)))) (.f64 (sin.f64 (.f64 (/.f64 #s(literal 1/2 binary64) y) x)) (sin.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)))))))

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

Calls

5 calls:

49.0ms	(/.f64 x (*.f64 y #s(literal 2 binary64)))
46.0ms	(/.f64 (tan.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))))
27.0ms	x
26.0ms	(*.f64 y #s(literal 2 binary64))
26.0ms	y

Results

Accuracy	Segments	Branch
56.8%	1	`(*.f64 y #s(literal 2 binary64))`
56.8%	1	`y`
56.8%	1	`x`
56.8%	1	`(/.f64 x (*.f64 y #s(literal 2 binary64)))`
56.8%	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)

regimes35.0ms (0.4%)

Memory

-7.5MiB live, 38.4MiB allocated; 2ms collecting garbage

Counts

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

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

Calls

5 calls:

21.0ms	x
4.0ms	y
4.0ms	(*.f64 y #s(literal 2 binary64))
3.0ms	(/.f64 x (*.f64 y #s(literal 2 binary64)))
3.0ms	(/.f64 (tan.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))))

Results

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

Compiler

Compiled 23 to 21 computations (8.7% saved)

regimes6.0ms (0.1%)

Memory

18.2MiB live, 18.2MiB allocated; 0ms collecting garbage

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

Inputs
#s(literal 0 binary64)

Outputs
#s(literal 0 binary64)

Calls

5 calls:

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

Results

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

Compiler

Compiled 23 to 21 computations (8.7% saved)

simplify72.0ms (0.7%)

Memory

-20.4MiB live, 75.3MiB allocated; 11ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	33	96
1	50	96
2	69	96
3	89	96
4	114	96
5	158	96
6	232	96
7	475	96
8	1086	96
9	2459	96
10	6548	96

Stop Event

1×	node limit

Calls

Call 1

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

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

derivations1.4s (13.7%)

Memory

21.1MiB live, 775.9MiB allocated; 127ms 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
0	40	247
0	67	194
1	260	189
2	2095	189
0	9716	188
0	49	290
0	87	198
1	368	179
2	3132	179
0	8031	178
0	316	1576
1	1006	1536
2	4033	1498
0	8680	1395
0	31	192
0	51	171
1	125	171
2	564	171
3	5590	171
0	8019	171

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

Compiler

Compiled 96 to 35 computations (63.5% saved)

preprocess95.0ms (1%)

Memory: -3.9MiB live, 88.1MiB allocated; 6ms collecting garbage
Remove: (abs y)
Compiler: Compiled 1 326 to 662 computations (50.1% saved)

end0.0ms (0%)

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

start0.0ms (0%)

analyze318.0ms (3.2%)

sample1.9s (18.7%)

explain166.0ms (1.7%)

preprocess242.0ms (2.4%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify178.0ms (1.8%)

localize53.0ms (0.5%)

series39.0ms (0.4%)

simplify224.0ms (2.2%)

rewrite122.0ms (1.2%)

eval62.0ms (0.6%)

prune6.0ms (0.1%)

simplify127.0ms (1.3%)

localize169.0ms (1.7%)

series20.0ms (0.2%)

simplify218.0ms (2.2%)

rewrite179.0ms (1.8%)

eval96.0ms (1%)

prune58.0ms (0.6%)

simplify103.0ms (1%)

localize728.0ms (7.3%)

series61.0ms (0.6%)

simplify224.0ms (2.2%)

rewrite247.0ms (2.5%)

eval158.0ms (1.6%)

prune113.0ms (1.1%)

simplify137.0ms (1.4%)

localize1.2s (12.3%)

series35.0ms (0.3%)

simplify179.0ms (1.8%)

rewrite261.0ms (2.6%)

eval163.0ms (1.6%)

prune224.0ms (2.2%)

regimes230.0ms (2.3%)

regimes180.0ms (1.8%)

regimes35.0ms (0.4%)

regimes6.0ms (0.1%)

simplify72.0ms (0.7%)

derivations1.4s (13.7%)

preprocess95.0ms (1%)

end0.0ms (0%)

Profiling