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

analyze285.0ms (5.5%)

Memory

-9.9MiB live, 323.8MiB allocated; 60ms 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 (37.2%)

Memory

35.3MiB live, 2 346.5MiB allocated; 477ms collecting garbage

Samples

1.1s	4 009×	1	valid
475.0ms	4 247×	0	valid

Precisions

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

ival-sin: 305.0ms (24.8% of total)

ival-div: 278.0ms (22.6% of total)

ival-tan: 241.0ms (19.6% of total)

adjust: 217.0ms (17.6% of total)

ival-mult: 174.0ms (14.1% of total)

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

exact: 5.0ms (0.4% of total)

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

Bogosity

explain237.0ms (4.6%)

Memory

8.0MiB live, 296.3MiB allocated; 19ms collecting garbage

FPErrors

Click to see full error table

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

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`sin.f64`	`(sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))`	sensitivity	85	0
`tan.f64`	`(tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))`	sensitivity	85	0
`sin.f64`	`(sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))`	oflow-rescue	38	0
↳	`(/.f64 x (*.f64 y #s(literal 2 binary64)))`	overflow	38
`tan.f64`	`(tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))`	oflow-rescue	38	0
↳	`(/.f64 x (*.f64 y #s(literal 2 binary64)))`	overflow	38
`/.f64`	`(/.f64 (tan.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))))`	u/u	24	0
↳	`(/.f64 x (*.f64 y #s(literal 2 binary64)))`	underflow	24
↳	`(tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))`	underflow	24
↳	`(/.f64 x (*.f64 y #s(literal 2 binary64)))`	underflow	24
↳	`(sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))`	underflow	24

Confusion

	Predicted +	Predicted -
+	147	0
-	0	109

Precision

1.0

Recall

1.0

Confusion?

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

Precision?

1.0

Recall?

1.0

Freqs

test

number	freq
0	109
1	24
2	123

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

104.0ms	244×	1	valid
38.0ms	268×	0	valid

Compiler

Compiled 89 to 28 computations (68.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 103.0ms

ival-tan: 34.0ms (33% of total)

ival-sin: 29.0ms (28.1% of total)

ival-mult: 25.0ms (24.2% of total)

ival-div: 10.0ms (9.7% of total)

adjust: 4.0ms (3.9% of total)

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

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

exact: 0.0ms (0% of total)

preprocess179.0ms (3.4%)

Memory

11.7MiB live, 196.0MiB allocated; 23ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	26	84
1	58	80
2	148	78
3	323	78
4	765	78
5	3003	78
0	8	13
0	13	13
1	21	13
2	40	13
3	78	13
4	159	13
5	514	13
6	3796	13
0	9069	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 x (*.f64 #s(literal 2 binary64) y))) (sin.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y))))

Symmetry

(abs x)

(abs y)

Compiler

Compiled 13 to 8 computations (38.5% saved)

eval0.0ms (0%)

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

prune0.0ms (0%)

Memory

1.3MiB live, 1.3MiB allocated; 0ms collecting garbage

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	47.6%	(/.f64 (tan.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))))

Compiler

Compiled 13 to 8 computations (38.5% saved)

series23.0ms (0.4%)

Memory

2.7MiB live, 47.5MiB allocated; 7ms collecting garbage

Counts

8 → 37

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
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(hole binary64 1))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(hole binary64 (+ 1 (* 1/8 (/ (pow x 2) (pow y 2))))))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(hole binary64 (+ 1 (* (pow x 2) (+ (* 5/384 (/ (pow x 2) (pow y 4))) (* 1/8 (/ 1 (pow y 2))))))))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(hole 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))))))))
#s(approx (tan (/ x (* y 2))) #s(hole binary64 (* 1/2 (/ x y))))
#s(approx (tan (/ x (* y 2))) #s(hole binary64 (* x (+ (* 1/24 (/ (pow x 2) (pow y 3))) (* 1/2 (/ 1 y))))))
#s(approx (tan (/ x (* y 2))) #s(hole binary64 (* x (+ (* (pow x 2) (+ (* 1/240 (/ (pow x 2) (pow y 5))) (* 1/24 (/ 1 (pow y 3))))) (* 1/2 (/ 1 y))))))
#s(approx (tan (/ x (* y 2))) #s(hole binary64 (* 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))))))
#s(approx (/ x (* y 2)) #s(hole binary64 (* 1/2 (/ x y))))
#s(approx x #s(hole binary64 x))
#s(approx (sin (/ x (* y 2))) #s(hole binary64 (* 1/2 (/ x y))))
#s(approx (sin (/ x (* y 2))) #s(hole binary64 (* x (+ (* -1/48 (/ (pow x 2) (pow y 3))) (* 1/2 (/ 1 y))))))
#s(approx (sin (/ x (* y 2))) #s(hole binary64 (* x (+ (* (pow x 2) (- (* 1/3840 (/ (pow x 2) (pow y 5))) (* 1/48 (/ 1 (pow y 3))))) (* 1/2 (/ 1 y))))))
#s(approx (sin (/ x (* y 2))) #s(hole binary64 (* 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))))))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(hole binary64 (/ 1 (cos (* 1/2 (/ x y))))))
#s(approx (tan (/ x (* y 2))) #s(hole binary64 (/ (sin (* 1/2 (/ x y))) (cos (* 1/2 (/ x y))))))
#s(approx (sin (/ x (* y 2))) #s(hole binary64 (sin (* 1/2 (/ x y)))))
#s(approx (* y 2) #s(hole binary64 (* 2 y)))
#s(approx y #s(hole binary64 y))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(hole binary64 (- (+ 1 (* 2 (/ (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3))) (* x (pow y 2))))) (* -1/24 (/ (pow x 2) (pow y 2))))))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(hole binary64 (- (+ 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))))))))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(hole binary64 (- (+ 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)))))))))))
#s(approx (tan (/ x (* y 2))) #s(hole binary64 (/ (- (+ (* -1/48 (/ (pow x 3) (pow y 2))) (* 1/2 x)) (* -1/16 (/ (pow x 3) (pow y 2)))) y)))
#s(approx (tan (/ x (* y 2))) #s(hole binary64 (/ (- (+ (* -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)))
#s(approx (tan (/ x (* y 2))) #s(hole binary64 (/ (- (+ (* -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)))
#s(approx (sin (/ x (* y 2))) #s(hole binary64 (/ (+ (* -1/48 (/ (pow x 3) (pow y 2))) (* 1/2 x)) y)))
#s(approx (sin (/ x (* y 2))) #s(hole binary64 (/ (+ (* -1/48 (/ (pow x 3) (pow y 2))) (+ (* 1/3840 (/ (pow x 5) (pow y 4))) (* 1/2 x))) y)))
#s(approx (sin (/ x (* y 2))) #s(hole binary64 (/ (+ (* -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)))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(hole binary64 (- (+ 1 (* -2 (/ (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3))) (* x (pow y 2))))) (* -1/24 (/ (pow x 2) (pow y 2))))))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(hole 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 (/ (- (* 1/48 (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))))))))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(hole 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)))))))))))
#s(approx (tan (/ x (* y 2))) #s(hole binary64 (* -1 (/ (- (+ (* -1/2 x) (* 1/48 (/ (pow x 3) (pow y 2)))) (* 1/16 (/ (pow x 3) (pow y 2)))) y))))
#s(approx (tan (/ x (* y 2))) #s(hole binary64 (* -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))))
#s(approx (tan (/ x (* y 2))) #s(hole binary64 (* -1 (/ (- (+ (* -1/2 x) (+ (* -1/3840 (/ (pow x 5) (pow y 4))) (+ (* 1/645120 (/ (pow x 7) (pow y 6))) (* 1/48 (/ (pow x 3) (pow y 2)))))) (+ (* -1/8 (/ (* (pow x 2) (- (* -1/3840 (pow x 5)) (+ (* -1/8 (* (pow x 2) (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3))))) (* -1/768 (pow x 5))))) (pow y 6))) (+ (* -1/8 (/ (* (pow x 2) (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3)))) (pow y 4))) (+ (* -1/768 (/ (pow x 5) (pow y 4))) (+ (* 1/92160 (/ (pow x 7) (pow y 6))) (+ (* 1/384 (/ (* (pow x 4) (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3)))) (pow y 6))) (* 1/16 (/ (pow x 3) (pow y 2))))))))) y))))
#s(approx (sin (/ x (* y 2))) #s(hole binary64 (* -1 (/ (+ (* -1/2 x) (* 1/48 (/ (pow x 3) (pow y 2)))) y))))
#s(approx (sin (/ x (* y 2))) #s(hole binary64 (* -1 (/ (+ (* -1/2 x) (+ (* -1/3840 (/ (pow x 5) (pow y 4))) (* 1/48 (/ (pow x 3) (pow y 2))))) y))))
#s(approx (sin (/ x (* y 2))) #s(hole binary64 (* -1 (/ (+ (* -1/2 x) (+ (* -1/3840 (/ (pow x 5) (pow y 4))) (+ (* 1/645120 (/ (pow x 7) (pow y 6))) (* 1/48 (/ (pow x 3) (pow y 2)))))) y))))

Calls

6 calls:

Time	Variable		Point	Expression
6.0ms	y	@	inf	((/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (tan (/ x (* y 2))) (/ x (* y 2)) x (* y 2) y 2 (sin (/ x (* y 2))))
5.0ms	x	@	-inf	((/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (tan (/ x (* y 2))) (/ 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)) 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)) 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)) x (* y 2) y 2 (sin (/ x (* y 2))))

simplify247.0ms (4.8%)

Memory

-26.5MiB live, 260.8MiB allocated; 64ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	358	1910
1	1051	1870
2	4346	1832
0	8131	1729

Stop Event

1×	iter limit
1×	node limit

Counts

37 → 37

Calls

Call 1

Inputs
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(hole binary64 1))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(hole binary64 (+ 1 (* 1/8 (/ (pow x 2) (pow y 2))))))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(hole binary64 (+ 1 (* (pow x 2) (+ (* 5/384 (/ (pow x 2) (pow y 4))) (* 1/8 (/ 1 (pow y 2))))))))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(hole 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))))))))
#s(approx (tan (/ x (* y 2))) #s(hole binary64 (* 1/2 (/ x y))))
#s(approx (tan (/ x (* y 2))) #s(hole binary64 (* x (+ (* 1/24 (/ (pow x 2) (pow y 3))) (* 1/2 (/ 1 y))))))
#s(approx (tan (/ x (* y 2))) #s(hole binary64 (* x (+ (* (pow x 2) (+ (* 1/240 (/ (pow x 2) (pow y 5))) (* 1/24 (/ 1 (pow y 3))))) (* 1/2 (/ 1 y))))))
#s(approx (tan (/ x (* y 2))) #s(hole binary64 (* 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))))))
#s(approx (/ x (* y 2)) #s(hole binary64 (* 1/2 (/ x y))))
#s(approx x #s(hole binary64 x))
#s(approx (sin (/ x (* y 2))) #s(hole binary64 (* 1/2 (/ x y))))
#s(approx (sin (/ x (* y 2))) #s(hole binary64 (* x (+ (* -1/48 (/ (pow x 2) (pow y 3))) (* 1/2 (/ 1 y))))))
#s(approx (sin (/ x (* y 2))) #s(hole binary64 (* x (+ (* (pow x 2) (- (* 1/3840 (/ (pow x 2) (pow y 5))) (* 1/48 (/ 1 (pow y 3))))) (* 1/2 (/ 1 y))))))
#s(approx (sin (/ x (* y 2))) #s(hole binary64 (* 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))))))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(hole binary64 (/ 1 (cos (* 1/2 (/ x y))))))
#s(approx (tan (/ x (* y 2))) #s(hole binary64 (/ (sin (* 1/2 (/ x y))) (cos (* 1/2 (/ x y))))))
#s(approx (sin (/ x (* y 2))) #s(hole binary64 (sin (* 1/2 (/ x y)))))
#s(approx (* y 2) #s(hole binary64 (* 2 y)))
#s(approx y #s(hole binary64 y))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(hole binary64 (- (+ 1 (* 2 (/ (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3))) (* x (pow y 2))))) (* -1/24 (/ (pow x 2) (pow y 2))))))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(hole binary64 (- (+ 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))))))))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(hole binary64 (- (+ 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)))))))))))
#s(approx (tan (/ x (* y 2))) #s(hole binary64 (/ (- (+ (* -1/48 (/ (pow x 3) (pow y 2))) (* 1/2 x)) (* -1/16 (/ (pow x 3) (pow y 2)))) y)))
#s(approx (tan (/ x (* y 2))) #s(hole binary64 (/ (- (+ (* -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)))
#s(approx (tan (/ x (* y 2))) #s(hole binary64 (/ (- (+ (* -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)))
#s(approx (sin (/ x (* y 2))) #s(hole binary64 (/ (+ (* -1/48 (/ (pow x 3) (pow y 2))) (* 1/2 x)) y)))
#s(approx (sin (/ x (* y 2))) #s(hole binary64 (/ (+ (* -1/48 (/ (pow x 3) (pow y 2))) (+ (* 1/3840 (/ (pow x 5) (pow y 4))) (* 1/2 x))) y)))
#s(approx (sin (/ x (* y 2))) #s(hole binary64 (/ (+ (* -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)))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(hole binary64 (- (+ 1 (* -2 (/ (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3))) (* x (pow y 2))))) (* -1/24 (/ (pow x 2) (pow y 2))))))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(hole 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 (/ (- (* 1/48 (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))))))))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(hole 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)))))))))))
#s(approx (tan (/ x (* y 2))) #s(hole binary64 (* -1 (/ (- (+ (* -1/2 x) (* 1/48 (/ (pow x 3) (pow y 2)))) (* 1/16 (/ (pow x 3) (pow y 2)))) y))))
#s(approx (tan (/ x (* y 2))) #s(hole binary64 (* -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))))
#s(approx (tan (/ x (* y 2))) #s(hole binary64 (* -1 (/ (- (+ (* -1/2 x) (+ (* -1/3840 (/ (pow x 5) (pow y 4))) (+ (* 1/645120 (/ (pow x 7) (pow y 6))) (* 1/48 (/ (pow x 3) (pow y 2)))))) (+ (* -1/8 (/ (* (pow x 2) (- (* -1/3840 (pow x 5)) (+ (* -1/8 (* (pow x 2) (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3))))) (* -1/768 (pow x 5))))) (pow y 6))) (+ (* -1/8 (/ (* (pow x 2) (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3)))) (pow y 4))) (+ (* -1/768 (/ (pow x 5) (pow y 4))) (+ (* 1/92160 (/ (pow x 7) (pow y 6))) (+ (* 1/384 (/ (* (pow x 4) (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3)))) (pow y 6))) (* 1/16 (/ (pow x 3) (pow y 2))))))))) y))))
#s(approx (sin (/ x (* y 2))) #s(hole binary64 (* -1 (/ (+ (* -1/2 x) (* 1/48 (/ (pow x 3) (pow y 2)))) y))))
#s(approx (sin (/ x (* y 2))) #s(hole binary64 (* -1 (/ (+ (* -1/2 x) (+ (* -1/3840 (/ (pow x 5) (pow y 4))) (* 1/48 (/ (pow x 3) (pow y 2))))) y))))
#s(approx (sin (/ x (* y 2))) #s(hole binary64 (* -1 (/ (+ (* -1/2 x) (+ (* -1/3840 (/ (pow x 5) (pow y 4))) (+ (* 1/645120 (/ (pow x 7) (pow y 6))) (* 1/48 (/ (pow x 3) (pow y 2)))))) y))))

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

rewrite72.0ms (1.4%)

Memory

-4.0MiB live, 51.4MiB allocated; 10ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	36
0	13	36
1	29	36
0	129	36

Stop Event

1×	iter limit
1×	iter limit
1×	iter limit
1×	unsound
1×	iter limit

Counts

8 → 34

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

eval11.0ms (0.2%)

Memory: 25.8MiB live, 25.8MiB allocated; 0ms collecting garbage
Compiler: Compiled 2 729 to 468 computations (82.9% saved)

prune26.0ms (0.5%)

Memory

-16.1MiB live, 30.3MiB allocated; 4ms collecting garbage

Pruning

14 alts after pruning (14 fresh and 0 done)

	Pruned	Kept	Total
New	77	14	91
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	78	14	92

Accuracy

62.5%

Counts

92 → 14

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	6.8%	(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x y))) (sin.f64 (/.f64 x y))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
	6.7%	(/.f64 (/.f64 (+.f64 (tan.f64 (/.f64 x (.f64 #s(literal 2 binary64) y))) (tan.f64 (PI.f64))) (-.f64 #s(literal 1 binary64) (.f64 (tan.f64 (/.f64 x (.f64 #s(literal 2 binary64) y))) (tan.f64 (PI.f64))))) (sin.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))))
	47.3%	(/.f64 (/.f64 (sin.f64 (/.f64 x y)) (+.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x y)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
	47.7%	(/.f64 (/.f64 (neg.f64 (sin.f64 (/.f64 x (.f64 #s(literal 2 binary64) y)))) (cos.f64 (+.f64 (PI.f64) (/.f64 x (.f64 #s(literal 2 binary64) y))))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
	47.6%	(/.f64 (tan.f64 (/.f64 x (+.f64 y y))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
	40.9%	(/.f64 (tan.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) #s(approx (sin (/ x ( y 2))) (.f64 (/.f64 (fma.f64 (/.f64 #s(literal -1/48 binary64) y) (/.f64 (.f64 x x) y) #s(literal 1/2 binary64)) y) x)))
▶	43.5%	(/.f64 (tan.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) #s(approx (sin (/ x ( y 2))) (*.f64 (/.f64 x y) #s(literal 1/2 binary64))))
	6.6%	(/.f64 (tan.f64 (+.f64 (+.f64 (PI.f64) (/.f64 x (.f64 #s(literal 2 binary64) y))) (PI.f64))) (sin.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))))
▶	6.7%	(/.f64 (tan.f64 (+.f64 (PI.f64) (/.f64 x (.f64 #s(literal 2 binary64) y)))) (sin.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))))
	47.6%	(/.f64 (sin.f64 (/.f64 x (.f64 #s(literal 2 binary64) y))) (.f64 (cos.f64 (/.f64 x (.f64 #s(literal 2 binary64) y))) (sin.f64 (/.f64 x (.f64 #s(literal 2 binary64) y)))))
	43.3%	(/.f64 #s(approx (tan (/ x (* y 2))) (.f64 (/.f64 x y) #s(literal 1/2 binary64))) (sin.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))))
▶	50.7%	#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)))
	57.0%	#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)))))
▶	58.0%	#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(literal 1 binary64))

Compiler

Compiled 558 to 384 computations (31.2% saved)

series57.0ms (1.1%)

Memory

14.4MiB live, 156.8MiB allocated; 14ms collecting garbage

Counts

31 → 124

Calls

Call 1

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

Outputs
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(hole binary64 1))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(hole binary64 (+ 1 (* 1/8 (/ (pow x 2) (pow y 2))))))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(hole binary64 (+ 1 (* (pow x 2) (+ (* 5/384 (/ (pow x 2) (pow y 4))) (* 1/8 (/ 1 (pow y 2))))))))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(hole 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))))))))
#s(approx (+ (* (/ (* x x) y) (/ 1/8 y)) 1) #s(hole binary64 1))
#s(approx (+ (* (/ (* x x) y) (/ 1/8 y)) 1) #s(hole binary64 (+ 1 (* 1/8 (/ (pow x 2) (pow y 2))))))
#s(approx (/ (* x x) y) #s(hole binary64 (/ (pow x 2) y)))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx x #s(hole binary64 x))
#s(approx (tan (/ x (* y 2))) #s(hole binary64 (* 1/2 (/ x y))))
#s(approx (tan (/ x (* y 2))) #s(hole binary64 (* x (+ (* 1/24 (/ (pow x 2) (pow y 3))) (* 1/2 (/ 1 y))))))
#s(approx (tan (/ x (* y 2))) #s(hole binary64 (* x (+ (* (pow x 2) (+ (* 1/240 (/ (pow x 2) (pow y 5))) (* 1/24 (/ 1 (pow y 3))))) (* 1/2 (/ 1 y))))))
#s(approx (tan (/ x (* y 2))) #s(hole binary64 (* 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))))))
#s(approx (/ x (* y 2)) #s(hole binary64 (* 1/2 (/ x y))))
#s(approx (sin (/ x (* y 2))) #s(hole binary64 (* 1/2 (/ x y))))
#s(approx (sin (/ x (* y 2))) #s(hole binary64 (* x (+ (* -1/48 (/ (pow x 2) (pow y 3))) (* 1/2 (/ 1 y))))))
#s(approx (sin (/ x (* y 2))) #s(hole binary64 (* x (+ (* (pow x 2) (- (* 1/3840 (/ (pow x 2) (pow y 5))) (* 1/48 (/ 1 (pow y 3))))) (* 1/2 (/ 1 y))))))
#s(approx (sin (/ x (* y 2))) #s(hole binary64 (* 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))))))
#s(approx (* (/ x y) 1/2) #s(hole binary64 (* 1/2 (/ x y))))
#s(approx (/ x y) #s(hole binary64 (/ x y)))
#s(approx (/ (tan (+ (PI) (/ x (* 2 y)))) (sin (/ x (* y 2)))) #s(hole binary64 (* 2 (/ (* y (sin (PI))) (* x (cos (PI)))))))
#s(approx (/ (tan (+ (PI) (/ x (* 2 y)))) (sin (/ x (* y 2)))) #s(hole binary64 (/ (+ (* 2 (* x (* y (- (* 1/2 (/ 1 y)) (* -1/2 (/ (pow (sin (PI)) 2) (* y (pow (cos (PI)) 2)))))))) (* 2 (/ (* y (sin (PI))) (cos (PI))))) x)))
#s(approx (/ (tan (+ (PI) (/ x (* 2 y)))) (sin (/ x (* y 2)))) #s(hole binary64 (/ (+ (* 2 (/ (* y (sin (PI))) (cos (PI)))) (* x (+ (* 2 (* y (- (* 1/2 (/ 1 y)) (* -1/2 (/ (pow (sin (PI)) 2) (* y (pow (cos (PI)) 2))))))) (* x (- (/ (* (sin (PI)) (- (* 1/2 (/ 1 y)) (* -1/2 (/ (pow (sin (PI)) 2) (* y (pow (cos (PI)) 2)))))) (cos (PI))) (* -1/12 (/ (sin (PI)) (* y (cos (PI)))))))))) x)))
#s(approx (/ (tan (+ (PI) (/ x (* 2 y)))) (sin (/ x (* y 2)))) #s(hole binary64 (/ (+ (* 2 (/ (* y (sin (PI))) (cos (PI)))) (* x (+ (* 2 (* y (- (* 1/2 (/ 1 y)) (* -1/2 (/ (pow (sin (PI)) 2) (* y (pow (cos (PI)) 2))))))) (* x (- (+ (* x (- (* -2 (* y (+ (* -1/4 (/ (* (pow (sin (PI)) 2) (- (* 1/2 (/ 1 y)) (* -1/2 (/ (pow (sin (PI)) 2) (* y (pow (cos (PI)) 2)))))) (* (pow y 2) (pow (cos (PI)) 2)))) (+ (* -1/8 (/ (- (* 1/2 (/ 1 y)) (* -1/2 (/ (pow (sin (PI)) 2) (* y (pow (cos (PI)) 2))))) (pow y 2))) (+ (* 1/48 (/ 1 (pow y 3))) (* 1/48 (/ (pow (sin (PI)) 2) (* (pow y 3) (pow (cos (PI)) 2))))))))) (* -1/12 (/ (- (* 1/2 (/ 1 y)) (* -1/2 (/ (pow (sin (PI)) 2) (* y (pow (cos (PI)) 2))))) y)))) (/ (* (sin (PI)) (- (* 1/2 (/ 1 y)) (* -1/2 (/ (pow (sin (PI)) 2) (* y (pow (cos (PI)) 2)))))) (cos (PI)))) (* -1/12 (/ (sin (PI)) (* y (cos (PI)))))))))) x)))
#s(approx (tan (+ (PI) (/ x (* 2 y)))) #s(hole binary64 (/ (sin (PI)) (cos (PI)))))
#s(approx (tan (+ (PI) (/ x (* 2 y)))) #s(hole binary64 (+ (* x (- (* 1/2 (/ 1 y)) (* -1/2 (/ (pow (sin (PI)) 2) (* y (pow (cos (PI)) 2)))))) (/ (sin (PI)) (cos (PI))))))
#s(approx (tan (+ (PI) (/ x (* 2 y)))) #s(hole binary64 (+ (* x (- (+ (* 1/2 (/ 1 y)) (* 1/2 (/ (* x (* (sin (PI)) (- (* 1/2 (/ 1 y)) (* -1/2 (/ (pow (sin (PI)) 2) (* y (pow (cos (PI)) 2))))))) (* y (cos (PI)))))) (* -1/2 (/ (pow (sin (PI)) 2) (* y (pow (cos (PI)) 2)))))) (/ (sin (PI)) (cos (PI))))))
#s(approx (tan (+ (PI) (/ x (* 2 y)))) #s(hole binary64 (+ (* x (- (+ (* 1/2 (/ 1 y)) (* x (- (* -1 (* x (+ (* -1/4 (/ (* (pow (sin (PI)) 2) (- (* 1/2 (/ 1 y)) (* -1/2 (/ (pow (sin (PI)) 2) (* y (pow (cos (PI)) 2)))))) (* (pow y 2) (pow (cos (PI)) 2)))) (+ (* -1/8 (/ (- (* 1/2 (/ 1 y)) (* -1/2 (/ (pow (sin (PI)) 2) (* y (pow (cos (PI)) 2))))) (pow y 2))) (+ (* 1/48 (/ 1 (pow y 3))) (* 1/48 (/ (pow (sin (PI)) 2) (* (pow y 3) (pow (cos (PI)) 2))))))))) (* -1/2 (/ (* (sin (PI)) (- (* 1/2 (/ 1 y)) (* -1/2 (/ (pow (sin (PI)) 2) (* y (pow (cos (PI)) 2)))))) (* y (cos (PI)))))))) (* -1/2 (/ (pow (sin (PI)) 2) (* y (pow (cos (PI)) 2)))))) (/ (sin (PI)) (cos (PI))))))
#s(approx (+ (PI) (/ x (* 2 y))) #s(hole binary64 (PI)))
#s(approx (+ (PI) (/ x (* 2 y))) #s(hole binary64 (+ (PI) (* 1/2 (/ x y)))))
#s(approx (/ x (* 2 y)) #s(hole binary64 (* 1/2 (/ x y))))
#s(approx (/ (/ (- 1 (cos (/ x y))) (sin (/ x y))) (sin (/ x (* y 2)))) #s(hole binary64 1))
#s(approx (/ (/ (- 1 (cos (/ x y))) (sin (/ x y))) (sin (/ x (* y 2)))) #s(hole binary64 (+ 1 (* 1/8 (/ (pow x 2) (pow y 2))))))
#s(approx (/ (/ (- 1 (cos (/ x y))) (sin (/ x y))) (sin (/ x (* y 2)))) #s(hole binary64 (+ 1 (* (pow x 2) (+ (* 5/384 (/ (pow x 2) (pow y 4))) (* 1/8 (/ 1 (pow y 2))))))))
#s(approx (/ (/ (- 1 (cos (/ x y))) (sin (/ x y))) (sin (/ x (* y 2)))) #s(hole binary64 (+ 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))))))))
#s(approx (/ (- 1 (cos (/ x y))) (sin (/ x y))) #s(hole binary64 (* 1/2 (/ x y))))
#s(approx (/ (- 1 (cos (/ x y))) (sin (/ x y))) #s(hole binary64 (* x (+ (* 1/24 (/ (pow x 2) (pow y 3))) (* 1/2 (/ 1 y))))))
#s(approx (/ (- 1 (cos (/ x y))) (sin (/ x y))) #s(hole binary64 (* x (+ (* (pow x 2) (+ (* 1/240 (/ (pow x 2) (pow y 5))) (* 1/24 (/ 1 (pow y 3))))) (* 1/2 (/ 1 y))))))
#s(approx (/ (- 1 (cos (/ x y))) (sin (/ x y))) #s(hole binary64 (* 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))))))
#s(approx (- 1 (cos (/ x y))) #s(hole binary64 (* 1/2 (/ (pow x 2) (pow y 2)))))
#s(approx (- 1 (cos (/ x y))) #s(hole binary64 (* (pow x 2) (+ (* -1/24 (/ (pow x 2) (pow y 4))) (* 1/2 (/ 1 (pow y 2)))))))
#s(approx (- 1 (cos (/ x y))) #s(hole binary64 (* (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)))))))
#s(approx (- 1 (cos (/ x y))) #s(hole binary64 (* (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)))))))
#s(approx (cos (/ x y)) #s(hole binary64 1))
#s(approx (cos (/ x y)) #s(hole binary64 (+ 1 (* -1/2 (/ (pow x 2) (pow y 2))))))
#s(approx (cos (/ x y)) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 1/24 (/ (pow x 2) (pow y 4))) (* 1/2 (/ 1 (pow y 2))))))))
#s(approx (cos (/ x y)) #s(hole binary64 (+ 1 (* (pow x 2) (- (* (pow x 2) (+ (* -1/720 (/ (pow x 2) (pow y 6))) (* 1/24 (/ 1 (pow y 4))))) (* 1/2 (/ 1 (pow y 2))))))))
#s(approx (sin (/ x y)) #s(hole binary64 (/ x y)))
#s(approx (sin (/ x y)) #s(hole binary64 (* x (+ (* -1/6 (/ (pow x 2) (pow y 3))) (/ 1 y)))))
#s(approx (sin (/ x y)) #s(hole binary64 (* x (+ (* (pow x 2) (- (* 1/120 (/ (pow x 2) (pow y 5))) (* 1/6 (/ 1 (pow y 3))))) (/ 1 y)))))
#s(approx (sin (/ x y)) #s(hole binary64 (* 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)))))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(hole binary64 (/ 1 (cos (* 1/2 (/ x y))))))
#s(approx (+ (* (/ (* x x) y) (/ 1/8 y)) 1) #s(hole binary64 (* 1/8 (/ (pow x 2) (pow y 2)))))
#s(approx (+ (* (/ (* x x) y) (/ 1/8 y)) 1) #s(hole binary64 (* (pow x 2) (+ (/ 1 (pow x 2)) (* 1/8 (/ 1 (pow y 2)))))))
#s(approx (tan (/ x (* y 2))) #s(hole binary64 (/ (sin (* 1/2 (/ x y))) (cos (* 1/2 (/ x y))))))
#s(approx (sin (/ x (* y 2))) #s(hole binary64 (sin (* 1/2 (/ x y)))))
#s(approx (/ (tan (+ (PI) (/ x (* 2 y)))) (sin (/ x (* y 2)))) #s(hole binary64 (/ (sin (+ (PI) (* 1/2 (/ x y)))) (* (cos (+ (PI) (* 1/2 (/ x y)))) (sin (* 1/2 (/ x y)))))))
#s(approx (tan (+ (PI) (/ x (* 2 y)))) #s(hole binary64 (/ (sin (+ (PI) (* 1/2 (/ x y)))) (cos (+ (PI) (* 1/2 (/ x y)))))))
#s(approx (+ (PI) (/ x (* 2 y))) #s(hole binary64 (* 1/2 (/ x y))))
#s(approx (+ (PI) (/ x (* 2 y))) #s(hole binary64 (* x (+ (* 1/2 (/ 1 y)) (/ (PI) x)))))
#s(approx (/ (/ (- 1 (cos (/ x y))) (sin (/ x y))) (sin (/ x (* y 2)))) #s(hole binary64 (/ (- 1 (cos (/ x y))) (* (sin (* 1/2 (/ x y))) (sin (/ x y))))))
#s(approx (/ (- 1 (cos (/ x y))) (sin (/ x y))) #s(hole binary64 (/ (- 1 (cos (/ x y))) (sin (/ x y)))))
#s(approx (- 1 (cos (/ x y))) #s(hole binary64 (- 1 (cos (/ x y)))))
#s(approx (cos (/ x y)) #s(hole binary64 (cos (/ x y))))
#s(approx (sin (/ x y)) #s(hole binary64 (sin (/ x y))))
#s(approx (/ (tan (+ (PI) (/ x (* 2 y)))) (sin (/ x (* y 2)))) #s(hole binary64 (/ (sin (- (PI) (* -1/2 (/ x y)))) (* (cos (- (PI) (* -1/2 (/ x y)))) (sin (* 1/2 (/ x y)))))))
#s(approx (tan (+ (PI) (/ x (* 2 y)))) #s(hole binary64 (/ (sin (- (PI) (* -1/2 (/ x y)))) (cos (- (PI) (* -1/2 (/ x y)))))))
#s(approx (+ (PI) (/ x (* 2 y))) #s(hole binary64 (* -1 (* x (- (* -1 (/ (PI) x)) (* 1/2 (/ 1 y)))))))
#s(approx (+ (* (/ (* x x) y) (/ 1/8 y)) 1) #s(hole binary64 (/ (+ (* 1/8 (pow x 2)) (pow y 2)) (pow y 2))))
#s(approx y #s(hole binary64 y))
#s(approx (/ 1/8 y) #s(hole binary64 (/ 1/8 y)))
#s(approx (* y 2) #s(hole binary64 (* 2 y)))
#s(approx (+ (PI) (/ x (* 2 y))) #s(hole binary64 (/ (+ (* 1/2 x) (* y (PI))) y)))
#s(approx (* 2 y) #s(hole binary64 (* 2 y)))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(hole binary64 (- (+ 1 (* 2 (/ (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3))) (* x (pow y 2))))) (* -1/24 (/ (pow x 2) (pow y 2))))))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(hole binary64 (- (+ 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))))))))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(hole binary64 (- (+ 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)))))))))))
#s(approx (tan (/ x (* y 2))) #s(hole binary64 (/ (- (+ (* -1/48 (/ (pow x 3) (pow y 2))) (* 1/2 x)) (* -1/16 (/ (pow x 3) (pow y 2)))) y)))
#s(approx (tan (/ x (* y 2))) #s(hole binary64 (/ (- (+ (* -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)))
#s(approx (tan (/ x (* y 2))) #s(hole binary64 (/ (- (+ (* -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)))
#s(approx (sin (/ x (* y 2))) #s(hole binary64 (/ (+ (* -1/48 (/ (pow x 3) (pow y 2))) (* 1/2 x)) y)))
#s(approx (sin (/ x (* y 2))) #s(hole binary64 (/ (+ (* -1/48 (/ (pow x 3) (pow y 2))) (+ (* 1/3840 (/ (pow x 5) (pow y 4))) (* 1/2 x))) y)))
#s(approx (sin (/ x (* y 2))) #s(hole binary64 (/ (+ (* -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)))
#s(approx (/ (tan (+ (PI) (/ x (* 2 y)))) (sin (/ x (* y 2)))) #s(hole binary64 (* y (+ (* 2 (/ (sin (PI)) (* x (cos (PI))))) (* 2 (/ (- (* 1/2 x) (* -1/2 (/ (* x (pow (sin (PI)) 2)) (pow (cos (PI)) 2)))) (* x y)))))))
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#s(approx (/ (/ (- 1 (cos (/ x y))) (sin (/ x y))) (sin (/ x (* y 2)))) #s(hole binary64 (- (+ 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)))))))
#s(approx (/ (/ (- 1 (cos (/ x y))) (sin (/ x y))) (sin (/ x (* y 2)))) #s(hole binary64 (- (+ 1 (+ (* -1/12 (/ (pow x 2) (pow y 2))) (* 1/360 (/ (pow x 4) (pow y 4))))) (+ (* 2 (/ (* (+ (* -1/12 (pow x 4)) (* -1/48 (pow x 4))) (- (* -1/12 (pow x 2)) (* 2 (/ (+ (* -1/12 (pow x 4)) (* -1/48 (pow x 4))) (pow x 2))))) (* (pow x 2) (pow y 4)))) (+ (* 2 (/ (+ (* -1/12 (pow x 4)) (* -1/48 (pow x 4))) (* (pow x 2) (pow y 2)))) (* 2 (/ (+ (* 1/3840 (pow x 6)) (+ (* 1/288 (pow x 6)) (* 1/240 (pow x 6)))) (* (pow x 2) (pow y 4)))))))))
#s(approx (/ (/ (- 1 (cos (/ x y))) (sin (/ x y))) (sin (/ x (* y 2)))) #s(hole binary64 (- (+ 1 (+ (* -1/12 (/ (pow x 2) (pow y 2))) (+ (* -1/20160 (/ (pow x 6) (pow y 6))) (* 1/360 (/ (pow x 4) (pow y 4)))))) (+ (* 2 (/ (* (+ (* -1/12 (pow x 4)) (* -1/48 (pow x 4))) (- (* -1/12 (pow x 2)) (* 2 (/ (+ (* -1/12 (pow x 4)) (* -1/48 (pow x 4))) (pow x 2))))) (* (pow x 2) (pow y 4)))) (+ (* 2 (/ (* (+ (* -1/12 (pow x 4)) (* -1/48 (pow x 4))) (- (* 1/360 (pow x 4)) (+ (* 2 (/ (* (+ (* -1/12 (pow x 4)) (* -1/48 (pow x 4))) (- (* -1/12 (pow x 2)) (* 2 (/ (+ (* -1/12 (pow x 4)) (* -1/48 (pow x 4))) (pow x 2))))) (pow x 2))) (* 2 (/ (+ (* 1/3840 (pow x 6)) (+ (* 1/288 (pow x 6)) (* 1/240 (pow x 6)))) (pow x 2)))))) (* (pow x 2) (pow y 6)))) (+ (* 2 (/ (* (+ (* 1/3840 (pow x 6)) (+ (* 1/288 (pow x 6)) (* 1/240 (pow x 6)))) (- (* -1/12 (pow x 2)) (* 2 (/ (+ (* -1/12 (pow x 4)) (* -1/48 (pow x 4))) (pow x 2))))) (* (pow x 2) (pow y 6)))) (+ (* 2 (/ (+ (* -1/12 (pow x 4)) (* -1/48 (pow x 4))) (* (pow x 2) (pow y 2)))) (+ (* 2 (/ (+ (* -1/5760 (pow x 8)) (+ (* -1/10080 (pow x 8)) (+ (* -1/23040 (pow x 8)) (* -1/645120 (pow x 8))))) (* (pow x 2) (pow y 6)))) (* 2 (/ (+ (* 1/3840 (pow x 6)) (+ (* 1/288 (pow x 6)) (* 1/240 (pow x 6)))) (* (pow x 2) (pow y 4))))))))))))
#s(approx (/ (- 1 (cos (/ x y))) (sin (/ x y))) #s(hole binary64 (/ (- (+ (* -1/24 (/ (pow x 3) (pow y 2))) (* 1/2 x)) (* -1/12 (/ (pow x 3) (pow y 2)))) y)))
#s(approx (/ (- 1 (cos (/ x y))) (sin (/ x y))) #s(hole binary64 (/ (- (+ (* -1/24 (/ (pow x 3) (pow y 2))) (+ (* 1/720 (/ (pow x 5) (pow y 4))) (* 1/2 x))) (+ (* -1/6 (/ (* (pow x 2) (- (* -1/24 (pow x 3)) (* -1/12 (pow x 3)))) (pow y 4))) (+ (* -1/12 (/ (pow x 3) (pow y 2))) (* 1/240 (/ (pow x 5) (pow y 4)))))) y)))
#s(approx (/ (- 1 (cos (/ x y))) (sin (/ x y))) #s(hole binary64 (/ (- (+ (* -1/24 (/ (pow x 3) (pow y 2))) (+ (* -1/40320 (/ (pow x 7) (pow y 6))) (+ (* 1/720 (/ (pow x 5) (pow y 4))) (* 1/2 x)))) (+ (* -1/6 (/ (* (pow x 2) (- (* -1/24 (pow x 3)) (* -1/12 (pow x 3)))) (pow y 4))) (+ (* -1/6 (/ (* (pow x 2) (- (* 1/720 (pow x 5)) (+ (* -1/6 (* (pow x 2) (- (* -1/24 (pow x 3)) (* -1/12 (pow x 3))))) (* 1/240 (pow x 5))))) (pow y 6))) (+ (* -1/12 (/ (pow x 3) (pow y 2))) (+ (* -1/10080 (/ (pow x 7) (pow y 6))) (+ (* 1/240 (/ (pow x 5) (pow y 4))) (* 1/120 (/ (* (pow x 4) (- (* -1/24 (pow x 3)) (* -1/12 (pow x 3)))) (pow y 6))))))))) y)))
#s(approx (- 1 (cos (/ x y))) #s(hole binary64 (/ (- (* -1/24 (/ (pow x 4) (pow y 2))) (* -1/2 (pow x 2))) (pow y 2))))
#s(approx (- 1 (cos (/ x y))) #s(hole binary64 (/ (- (* 1/720 (/ (pow x 6) (pow y 4))) (+ (* -1/2 (pow x 2)) (* 1/24 (/ (pow x 4) (pow y 2))))) (pow y 2))))
#s(approx (- 1 (cos (/ x y))) #s(hole binary64 (/ (- (* -1/40320 (/ (pow x 8) (pow y 6))) (+ (* -1/2 (pow x 2)) (+ (* -1/720 (/ (pow x 6) (pow y 4))) (* 1/24 (/ (pow x 4) (pow y 2)))))) (pow y 2))))
#s(approx (cos (/ x y)) #s(hole binary64 (+ 1 (+ (* -1/2 (/ (pow x 2) (pow y 2))) (* 1/24 (/ (pow x 4) (pow y 4)))))))
#s(approx (cos (/ x y)) #s(hole binary64 (+ 1 (+ (* -1/2 (/ (pow x 2) (pow y 2))) (+ (* -1/720 (/ (pow x 6) (pow y 6))) (* 1/24 (/ (pow x 4) (pow y 4))))))))
#s(approx (sin (/ x y)) #s(hole binary64 (/ (+ x (* -1/6 (/ (pow x 3) (pow y 2)))) y)))
#s(approx (sin (/ x y)) #s(hole binary64 (/ (+ x (+ (* -1/6 (/ (pow x 3) (pow y 2))) (* 1/120 (/ (pow x 5) (pow y 4))))) y)))
#s(approx (sin (/ x y)) #s(hole binary64 (/ (+ x (+ (* -1/6 (/ (pow x 3) (pow y 2))) (+ (* -1/5040 (/ (pow x 7) (pow y 6))) (* 1/120 (/ (pow x 5) (pow y 4)))))) y)))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(hole binary64 (- (+ 1 (* -2 (/ (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3))) (* x (pow y 2))))) (* -1/24 (/ (pow x 2) (pow y 2))))))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(hole 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 (/ (- (* 1/48 (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))))))))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(hole 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)))))))))))
#s(approx (tan (/ x (* y 2))) #s(hole binary64 (* -1 (/ (- (+ (* -1/2 x) (* 1/48 (/ (pow x 3) (pow y 2)))) (* 1/16 (/ (pow x 3) (pow y 2)))) y))))
#s(approx (tan (/ x (* y 2))) #s(hole binary64 (* -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))))
#s(approx (tan (/ x (* y 2))) #s(hole binary64 (* -1 (/ (- (+ (* -1/2 x) (+ (* -1/3840 (/ (pow x 5) (pow y 4))) (+ (* 1/645120 (/ (pow x 7) (pow y 6))) (* 1/48 (/ (pow x 3) (pow y 2)))))) (+ (* -1/8 (/ (* (pow x 2) (- (* -1/3840 (pow x 5)) (+ (* -1/8 (* (pow x 2) (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3))))) (* -1/768 (pow x 5))))) (pow y 6))) (+ (* -1/8 (/ (* (pow x 2) (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3)))) (pow y 4))) (+ (* -1/768 (/ (pow x 5) (pow y 4))) (+ (* 1/92160 (/ (pow x 7) (pow y 6))) (+ (* 1/384 (/ (* (pow x 4) (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3)))) (pow y 6))) (* 1/16 (/ (pow x 3) (pow y 2))))))))) y))))
#s(approx (sin (/ x (* y 2))) #s(hole binary64 (* -1 (/ (+ (* -1/2 x) (* 1/48 (/ (pow x 3) (pow y 2)))) y))))
#s(approx (sin (/ x (* y 2))) #s(hole binary64 (* -1 (/ (+ (* -1/2 x) (+ (* -1/3840 (/ (pow x 5) (pow y 4))) (* 1/48 (/ (pow x 3) (pow y 2))))) y))))
#s(approx (sin (/ x (* y 2))) #s(hole binary64 (* -1 (/ (+ (* -1/2 x) (+ (* -1/3840 (/ (pow x 5) (pow y 4))) (+ (* 1/645120 (/ (pow x 7) (pow y 6))) (* 1/48 (/ (pow x 3) (pow y 2)))))) y))))
#s(approx (/ (tan (+ (PI) (/ x (* 2 y)))) (sin (/ x (* y 2)))) #s(hole binary64 (* -1 (* y (+ (* -2 (/ (sin (PI)) (* x (cos (PI))))) (* 2 (/ (- (* -1/2 x) (* 1/2 (/ (* x (pow (sin (PI)) 2)) (pow (cos (PI)) 2)))) (* x y))))))))
#s(approx (/ (tan (+ (PI) (/ x (* 2 y)))) (sin (/ x (* y 2)))) #s(hole binary64 (* -1 (* y (+ (* -2 (/ (sin (PI)) (* x (cos (PI))))) (* -1 (/ (+ (* -2 (/ (- (* -1/2 x) (* 1/2 (/ (* x (pow (sin (PI)) 2)) (pow (cos (PI)) 2)))) x)) (* -1 (/ (- (/ (* (sin (PI)) (- (* -1/2 x) (* 1/2 (/ (* x (pow (sin (PI)) 2)) (pow (cos (PI)) 2))))) (cos (PI))) (* 1/12 (/ (* x (sin (PI))) (cos (PI))))) y))) y)))))))
#s(approx (/ (tan (+ (PI) (/ x (* 2 y)))) (sin (/ x (* y 2)))) #s(hole binary64 (* -1 (* y (+ (* -2 (/ (sin (PI)) (* x (cos (PI))))) (* -1 (/ (+ (* -2 (/ (- (* -1/2 x) (* 1/2 (/ (* x (pow (sin (PI)) 2)) (pow (cos (PI)) 2)))) x)) (* -1 (/ (- (+ (* -1 (/ (- (* -2 (/ (- (* 1/48 (pow x 3)) (+ (* -1/4 (/ (* (pow x 2) (* (pow (sin (PI)) 2) (- (* -1/2 x) (* 1/2 (/ (* x (pow (sin (PI)) 2)) (pow (cos (PI)) 2)))))) (pow (cos (PI)) 2))) (+ (* -1/8 (* (pow x 2) (- (* -1/2 x) (* 1/2 (/ (* x (pow (sin (PI)) 2)) (pow (cos (PI)) 2)))))) (* -1/48 (/ (* (pow x 3) (pow (sin (PI)) 2)) (pow (cos (PI)) 2)))))) x)) (* 1/12 (* x (- (* -1/2 x) (* 1/2 (/ (* x (pow (sin (PI)) 2)) (pow (cos (PI)) 2))))))) y)) (/ (* (sin (PI)) (- (* -1/2 x) (* 1/2 (/ (* x (pow (sin (PI)) 2)) (pow (cos (PI)) 2))))) (cos (PI)))) (* 1/12 (/ (* x (sin (PI))) (cos (PI))))) y))) y)))))))
#s(approx (tan (+ (PI) (/ x (* 2 y)))) #s(hole binary64 (+ (* -1 (/ (- (* -1/2 x) (* 1/2 (/ (* x (pow (sin (PI)) 2)) (pow (cos (PI)) 2)))) y)) (/ (sin (PI)) (cos (PI))))))
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#s(approx (tan (+ (PI) (/ x (* 2 y)))) #s(hole binary64 (+ (* -1 (/ (- (+ (* -1 (/ (- (* -1 (/ (- (* 1/48 (pow x 3)) (+ (* -1/4 (/ (* (pow x 2) (* (pow (sin (PI)) 2) (- (* -1/2 x) (* 1/2 (/ (* x (pow (sin (PI)) 2)) (pow (cos (PI)) 2)))))) (pow (cos (PI)) 2))) (+ (* -1/8 (* (pow x 2) (- (* -1/2 x) (* 1/2 (/ (* x (pow (sin (PI)) 2)) (pow (cos (PI)) 2)))))) (* -1/48 (/ (* (pow x 3) (pow (sin (PI)) 2)) (pow (cos (PI)) 2)))))) y)) (* 1/2 (/ (* x (* (sin (PI)) (- (* -1/2 x) (* 1/2 (/ (* x (pow (sin (PI)) 2)) (pow (cos (PI)) 2)))))) (cos (PI))))) y)) (* -1/2 x)) (* 1/2 (/ (* x (pow (sin (PI)) 2)) (pow (cos (PI)) 2)))) y)) (/ (sin (PI)) (cos (PI))))))
#s(approx (/ (- 1 (cos (/ x y))) (sin (/ x y))) #s(hole binary64 (* -1 (/ (- (+ (* -1/2 x) (* 1/24 (/ (pow x 3) (pow y 2)))) (* 1/12 (/ (pow x 3) (pow y 2)))) y))))
#s(approx (/ (- 1 (cos (/ x y))) (sin (/ x y))) #s(hole binary64 (* -1 (/ (- (+ (* -1/2 x) (+ (* -1/720 (/ (pow x 5) (pow y 4))) (* 1/24 (/ (pow x 3) (pow y 2))))) (+ (* -1/6 (/ (* (pow x 2) (- (* 1/24 (pow x 3)) (* 1/12 (pow x 3)))) (pow y 4))) (+ (* -1/240 (/ (pow x 5) (pow y 4))) (* 1/12 (/ (pow x 3) (pow y 2)))))) y))))
#s(approx (/ (- 1 (cos (/ x y))) (sin (/ x y))) #s(hole binary64 (* -1 (/ (- (+ (* -1/2 x) (+ (* -1/720 (/ (pow x 5) (pow y 4))) (+ (* 1/40320 (/ (pow x 7) (pow y 6))) (* 1/24 (/ (pow x 3) (pow y 2)))))) (+ (* -1/6 (/ (* (pow x 2) (- (* -1/720 (pow x 5)) (+ (* -1/6 (* (pow x 2) (- (* 1/24 (pow x 3)) (* 1/12 (pow x 3))))) (* -1/240 (pow x 5))))) (pow y 6))) (+ (* -1/6 (/ (* (pow x 2) (- (* 1/24 (pow x 3)) (* 1/12 (pow x 3)))) (pow y 4))) (+ (* -1/240 (/ (pow x 5) (pow y 4))) (+ (* 1/10080 (/ (pow x 7) (pow y 6))) (+ (* 1/120 (/ (* (pow x 4) (- (* 1/24 (pow x 3)) (* 1/12 (pow x 3)))) (pow y 6))) (* 1/12 (/ (pow x 3) (pow y 2))))))))) y))))
#s(approx (sin (/ x y)) #s(hole binary64 (* -1 (/ (+ (* -1 x) (* 1/6 (/ (pow x 3) (pow y 2)))) y))))
#s(approx (sin (/ x y)) #s(hole binary64 (* -1 (/ (+ (* -1 x) (+ (* -1/120 (/ (pow x 5) (pow y 4))) (* 1/6 (/ (pow x 3) (pow y 2))))) y))))
#s(approx (sin (/ x y)) #s(hole binary64 (* -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))))

Calls

6 calls:

Time	Variable		Point	Expression
13.0ms	x	@	0	((/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) 1 (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (+ (* (/ (* x x) y) (/ 1/8 y)) 1) (/ (* x x) y) (* x x) x y (/ 1/8 y) 1/8 (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (tan (/ x (* y 2))) (/ x (* y 2)) (* y 2) 2 (sin (/ x (* y 2))) (* (/ x y) 1/2) (/ x y) 1/2 (/ (tan (+ (PI) (/ x (* 2 y)))) (sin (/ x (* y 2)))) (tan (+ (PI) (/ x (* 2 y)))) (+ (PI) (/ x (* 2 y))) (PI) (/ x (* 2 y)) (* 2 y) (sin (/ x (* y 2))) (/ (/ (- 1 (cos (/ x y))) (sin (/ x y))) (sin (/ x (* y 2)))) (/ (- 1 (cos (/ x y))) (sin (/ x y))) (- 1 (cos (/ x y))) (cos (/ x y)) (sin (/ x y)))
13.0ms	y	@	-inf	((/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) 1 (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (+ (* (/ (* x x) y) (/ 1/8 y)) 1) (/ (* x x) y) (* x x) x y (/ 1/8 y) 1/8 (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (tan (/ x (* y 2))) (/ x (* y 2)) (* y 2) 2 (sin (/ x (* y 2))) (* (/ x y) 1/2) (/ x y) 1/2 (/ (tan (+ (PI) (/ x (* 2 y)))) (sin (/ x (* y 2)))) (tan (+ (PI) (/ x (* 2 y)))) (+ (PI) (/ x (* 2 y))) (PI) (/ x (* 2 y)) (* 2 y) (sin (/ x (* y 2))) (/ (/ (- 1 (cos (/ x y))) (sin (/ x y))) (sin (/ x (* y 2)))) (/ (- 1 (cos (/ x y))) (sin (/ x y))) (- 1 (cos (/ x y))) (cos (/ x y)) (sin (/ x y)))
10.0ms	y	@	inf	((/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) 1 (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (+ (* (/ (* x x) y) (/ 1/8 y)) 1) (/ (* x x) y) (* x x) x y (/ 1/8 y) 1/8 (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (tan (/ x (* y 2))) (/ x (* y 2)) (* y 2) 2 (sin (/ x (* y 2))) (* (/ x y) 1/2) (/ x y) 1/2 (/ (tan (+ (PI) (/ x (* 2 y)))) (sin (/ x (* y 2)))) (tan (+ (PI) (/ x (* 2 y)))) (+ (PI) (/ x (* 2 y))) (PI) (/ x (* 2 y)) (* 2 y) (sin (/ x (* y 2))) (/ (/ (- 1 (cos (/ x y))) (sin (/ x y))) (sin (/ x (* y 2)))) (/ (- 1 (cos (/ x y))) (sin (/ x y))) (- 1 (cos (/ x y))) (cos (/ x y)) (sin (/ x y)))
6.0ms	y	@	0	((/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) 1 (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (+ (* (/ (* x x) y) (/ 1/8 y)) 1) (/ (* x x) y) (* x x) x y (/ 1/8 y) 1/8 (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (tan (/ x (* y 2))) (/ x (* y 2)) (* y 2) 2 (sin (/ x (* y 2))) (* (/ x y) 1/2) (/ x y) 1/2 (/ (tan (+ (PI) (/ x (* 2 y)))) (sin (/ x (* y 2)))) (tan (+ (PI) (/ x (* 2 y)))) (+ (PI) (/ x (* 2 y))) (PI) (/ x (* 2 y)) (* 2 y) (sin (/ x (* y 2))) (/ (/ (- 1 (cos (/ x y))) (sin (/ x y))) (sin (/ x (* y 2)))) (/ (- 1 (cos (/ x y))) (sin (/ x y))) (- 1 (cos (/ x y))) (cos (/ x y)) (sin (/ x y)))
5.0ms	x	@	inf	((/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) 1 (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (+ (* (/ (* x x) y) (/ 1/8 y)) 1) (/ (* x x) y) (* x x) x y (/ 1/8 y) 1/8 (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (tan (/ x (* y 2))) (/ x (* y 2)) (* y 2) 2 (sin (/ x (* y 2))) (* (/ x y) 1/2) (/ x y) 1/2 (/ (tan (+ (PI) (/ x (* 2 y)))) (sin (/ x (* y 2)))) (tan (+ (PI) (/ x (* 2 y)))) (+ (PI) (/ x (* 2 y))) (PI) (/ x (* 2 y)) (* 2 y) (sin (/ x (* y 2))) (/ (/ (- 1 (cos (/ x y))) (sin (/ x y))) (sin (/ x (* y 2)))) (/ (- 1 (cos (/ x y))) (sin (/ x y))) (- 1 (cos (/ x y))) (cos (/ x y)) (sin (/ x y)))

simplify272.0ms (5.2%)

Memory

27.8MiB live, 396.3MiB allocated; 96ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	996	5193
1	3219	4593
0	9148	4361

Stop Event

1×	iter limit
1×	node limit

Counts

124 → 124

Calls

Call 1

Inputs
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(hole binary64 1))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(hole binary64 (+ 1 (* 1/8 (/ (pow x 2) (pow y 2))))))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(hole binary64 (+ 1 (* (pow x 2) (+ (* 5/384 (/ (pow x 2) (pow y 4))) (* 1/8 (/ 1 (pow y 2))))))))
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#s(approx (/ (- 1 (cos (/ x y))) (sin (/ x y))) #s(hole binary64 (/ (- (+ (* -1/24 (/ (pow x 3) (pow y 2))) (+ (* -1/40320 (/ (pow x 7) (pow y 6))) (+ (* 1/720 (/ (pow x 5) (pow y 4))) (* 1/2 x)))) (+ (* -1/6 (/ (* (pow x 2) (- (* -1/24 (pow x 3)) (* -1/12 (pow x 3)))) (pow y 4))) (+ (* -1/6 (/ (* (pow x 2) (- (* 1/720 (pow x 5)) (+ (* -1/6 (* (pow x 2) (- (* -1/24 (pow x 3)) (* -1/12 (pow x 3))))) (* 1/240 (pow x 5))))) (pow y 6))) (+ (* -1/12 (/ (pow x 3) (pow y 2))) (+ (* -1/10080 (/ (pow x 7) (pow y 6))) (+ (* 1/240 (/ (pow x 5) (pow y 4))) (* 1/120 (/ (* (pow x 4) (- (* -1/24 (pow x 3)) (* -1/12 (pow x 3)))) (pow y 6))))))))) y)))
#s(approx (- 1 (cos (/ x y))) #s(hole binary64 (/ (- (* -1/24 (/ (pow x 4) (pow y 2))) (* -1/2 (pow x 2))) (pow y 2))))
#s(approx (- 1 (cos (/ x y))) #s(hole binary64 (/ (- (* 1/720 (/ (pow x 6) (pow y 4))) (+ (* -1/2 (pow x 2)) (* 1/24 (/ (pow x 4) (pow y 2))))) (pow y 2))))
#s(approx (- 1 (cos (/ x y))) #s(hole binary64 (/ (- (* -1/40320 (/ (pow x 8) (pow y 6))) (+ (* -1/2 (pow x 2)) (+ (* -1/720 (/ (pow x 6) (pow y 4))) (* 1/24 (/ (pow x 4) (pow y 2)))))) (pow y 2))))
#s(approx (cos (/ x y)) #s(hole binary64 (+ 1 (+ (* -1/2 (/ (pow x 2) (pow y 2))) (* 1/24 (/ (pow x 4) (pow y 4)))))))
#s(approx (cos (/ x y)) #s(hole binary64 (+ 1 (+ (* -1/2 (/ (pow x 2) (pow y 2))) (+ (* -1/720 (/ (pow x 6) (pow y 6))) (* 1/24 (/ (pow x 4) (pow y 4))))))))
#s(approx (sin (/ x y)) #s(hole binary64 (/ (+ x (* -1/6 (/ (pow x 3) (pow y 2)))) y)))
#s(approx (sin (/ x y)) #s(hole binary64 (/ (+ x (+ (* -1/6 (/ (pow x 3) (pow y 2))) (* 1/120 (/ (pow x 5) (pow y 4))))) y)))
#s(approx (sin (/ x y)) #s(hole binary64 (/ (+ x (+ (* -1/6 (/ (pow x 3) (pow y 2))) (+ (* -1/5040 (/ (pow x 7) (pow y 6))) (* 1/120 (/ (pow x 5) (pow y 4)))))) y)))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(hole binary64 (- (+ 1 (* -2 (/ (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3))) (* x (pow y 2))))) (* -1/24 (/ (pow x 2) (pow y 2))))))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(hole 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 (/ (- (* 1/48 (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))))))))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(hole 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)))))))))))
#s(approx (tan (/ x (* y 2))) #s(hole binary64 (* -1 (/ (- (+ (* -1/2 x) (* 1/48 (/ (pow x 3) (pow y 2)))) (* 1/16 (/ (pow x 3) (pow y 2)))) y))))
#s(approx (tan (/ x (* y 2))) #s(hole binary64 (* -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))))
#s(approx (tan (/ x (* y 2))) #s(hole binary64 (* -1 (/ (- (+ (* -1/2 x) (+ (* -1/3840 (/ (pow x 5) (pow y 4))) (+ (* 1/645120 (/ (pow x 7) (pow y 6))) (* 1/48 (/ (pow x 3) (pow y 2)))))) (+ (* -1/8 (/ (* (pow x 2) (- (* -1/3840 (pow x 5)) (+ (* -1/8 (* (pow x 2) (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3))))) (* -1/768 (pow x 5))))) (pow y 6))) (+ (* -1/8 (/ (* (pow x 2) (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3)))) (pow y 4))) (+ (* -1/768 (/ (pow x 5) (pow y 4))) (+ (* 1/92160 (/ (pow x 7) (pow y 6))) (+ (* 1/384 (/ (* (pow x 4) (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3)))) (pow y 6))) (* 1/16 (/ (pow x 3) (pow y 2))))))))) y))))
#s(approx (sin (/ x (* y 2))) #s(hole binary64 (* -1 (/ (+ (* -1/2 x) (* 1/48 (/ (pow x 3) (pow y 2)))) y))))
#s(approx (sin (/ x (* y 2))) #s(hole binary64 (* -1 (/ (+ (* -1/2 x) (+ (* -1/3840 (/ (pow x 5) (pow y 4))) (* 1/48 (/ (pow x 3) (pow y 2))))) y))))
#s(approx (sin (/ x (* y 2))) #s(hole binary64 (* -1 (/ (+ (* -1/2 x) (+ (* -1/3840 (/ (pow x 5) (pow y 4))) (+ (* 1/645120 (/ (pow x 7) (pow y 6))) (* 1/48 (/ (pow x 3) (pow y 2)))))) y))))
#s(approx (/ (tan (+ (PI) (/ x (* 2 y)))) (sin (/ x (* y 2)))) #s(hole binary64 (* -1 (* y (+ (* -2 (/ (sin (PI)) (* x (cos (PI))))) (* 2 (/ (- (* -1/2 x) (* 1/2 (/ (* x (pow (sin (PI)) 2)) (pow (cos (PI)) 2)))) (* x y))))))))
#s(approx (/ (tan (+ (PI) (/ x (* 2 y)))) (sin (/ x (* y 2)))) #s(hole binary64 (* -1 (* y (+ (* -2 (/ (sin (PI)) (* x (cos (PI))))) (* -1 (/ (+ (* -2 (/ (- (* -1/2 x) (* 1/2 (/ (* x (pow (sin (PI)) 2)) (pow (cos (PI)) 2)))) x)) (* -1 (/ (- (/ (* (sin (PI)) (- (* -1/2 x) (* 1/2 (/ (* x (pow (sin (PI)) 2)) (pow (cos (PI)) 2))))) (cos (PI))) (* 1/12 (/ (* x (sin (PI))) (cos (PI))))) y))) y)))))))
#s(approx (/ (tan (+ (PI) (/ x (* 2 y)))) (sin (/ x (* y 2)))) #s(hole binary64 (* -1 (* y (+ (* -2 (/ (sin (PI)) (* x (cos (PI))))) (* -1 (/ (+ (* -2 (/ (- (* -1/2 x) (* 1/2 (/ (* x (pow (sin (PI)) 2)) (pow (cos (PI)) 2)))) x)) (* -1 (/ (- (+ (* -1 (/ (- (* -2 (/ (- (* 1/48 (pow x 3)) (+ (* -1/4 (/ (* (pow x 2) (* (pow (sin (PI)) 2) (- (* -1/2 x) (* 1/2 (/ (* x (pow (sin (PI)) 2)) (pow (cos (PI)) 2)))))) (pow (cos (PI)) 2))) (+ (* -1/8 (* (pow x 2) (- (* -1/2 x) (* 1/2 (/ (* x (pow (sin (PI)) 2)) (pow (cos (PI)) 2)))))) (* -1/48 (/ (* (pow x 3) (pow (sin (PI)) 2)) (pow (cos (PI)) 2)))))) x)) (* 1/12 (* x (- (* -1/2 x) (* 1/2 (/ (* x (pow (sin (PI)) 2)) (pow (cos (PI)) 2))))))) y)) (/ (* (sin (PI)) (- (* -1/2 x) (* 1/2 (/ (* x (pow (sin (PI)) 2)) (pow (cos (PI)) 2))))) (cos (PI)))) (* 1/12 (/ (* x (sin (PI))) (cos (PI))))) y))) y)))))))
#s(approx (tan (+ (PI) (/ x (* 2 y)))) #s(hole binary64 (+ (* -1 (/ (- (* -1/2 x) (* 1/2 (/ (* x (pow (sin (PI)) 2)) (pow (cos (PI)) 2)))) y)) (/ (sin (PI)) (cos (PI))))))
#s(approx (tan (+ (PI) (/ x (* 2 y)))) #s(hole binary64 (+ (* -1 (/ (- (+ (* -1/2 x) (* 1/2 (/ (* x (* (sin (PI)) (- (* -1/2 x) (* 1/2 (/ (* x (pow (sin (PI)) 2)) (pow (cos (PI)) 2)))))) (* y (cos (PI)))))) (* 1/2 (/ (* x (pow (sin (PI)) 2)) (pow (cos (PI)) 2)))) y)) (/ (sin (PI)) (cos (PI))))))
#s(approx (tan (+ (PI) (/ x (* 2 y)))) #s(hole binary64 (+ (* -1 (/ (- (+ (* -1 (/ (- (* -1 (/ (- (* 1/48 (pow x 3)) (+ (* -1/4 (/ (* (pow x 2) (* (pow (sin (PI)) 2) (- (* -1/2 x) (* 1/2 (/ (* x (pow (sin (PI)) 2)) (pow (cos (PI)) 2)))))) (pow (cos (PI)) 2))) (+ (* -1/8 (* (pow x 2) (- (* -1/2 x) (* 1/2 (/ (* x (pow (sin (PI)) 2)) (pow (cos (PI)) 2)))))) (* -1/48 (/ (* (pow x 3) (pow (sin (PI)) 2)) (pow (cos (PI)) 2)))))) y)) (* 1/2 (/ (* x (* (sin (PI)) (- (* -1/2 x) (* 1/2 (/ (* x (pow (sin (PI)) 2)) (pow (cos (PI)) 2)))))) (cos (PI))))) y)) (* -1/2 x)) (* 1/2 (/ (* x (pow (sin (PI)) 2)) (pow (cos (PI)) 2)))) y)) (/ (sin (PI)) (cos (PI))))))
#s(approx (/ (- 1 (cos (/ x y))) (sin (/ x y))) #s(hole binary64 (* -1 (/ (- (+ (* -1/2 x) (* 1/24 (/ (pow x 3) (pow y 2)))) (* 1/12 (/ (pow x 3) (pow y 2)))) y))))
#s(approx (/ (- 1 (cos (/ x y))) (sin (/ x y))) #s(hole binary64 (* -1 (/ (- (+ (* -1/2 x) (+ (* -1/720 (/ (pow x 5) (pow y 4))) (* 1/24 (/ (pow x 3) (pow y 2))))) (+ (* -1/6 (/ (* (pow x 2) (- (* 1/24 (pow x 3)) (* 1/12 (pow x 3)))) (pow y 4))) (+ (* -1/240 (/ (pow x 5) (pow y 4))) (* 1/12 (/ (pow x 3) (pow y 2)))))) y))))
#s(approx (/ (- 1 (cos (/ x y))) (sin (/ x y))) #s(hole binary64 (* -1 (/ (- (+ (* -1/2 x) (+ (* -1/720 (/ (pow x 5) (pow y 4))) (+ (* 1/40320 (/ (pow x 7) (pow y 6))) (* 1/24 (/ (pow x 3) (pow y 2)))))) (+ (* -1/6 (/ (* (pow x 2) (- (* -1/720 (pow x 5)) (+ (* -1/6 (* (pow x 2) (- (* 1/24 (pow x 3)) (* 1/12 (pow x 3))))) (* -1/240 (pow x 5))))) (pow y 6))) (+ (* -1/6 (/ (* (pow x 2) (- (* 1/24 (pow x 3)) (* 1/12 (pow x 3)))) (pow y 4))) (+ (* -1/240 (/ (pow x 5) (pow y 4))) (+ (* 1/10080 (/ (pow x 7) (pow y 6))) (+ (* 1/120 (/ (* (pow x 4) (- (* 1/24 (pow x 3)) (* 1/12 (pow x 3)))) (pow y 6))) (* 1/12 (/ (pow x 3) (pow y 2))))))))) y))))
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Outputs
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(hole binary64 1))
#s(approx (/ (tan (+ (PI) (/ x (* 2 y)))) (sin (/ x (* y 2)))) #s(literal 1 binary64))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(hole binary64 (+ 1 (* 1/8 (/ (pow x 2) (pow y 2))))))
#s(approx (/ (tan (+ (PI) (/ x (* 2 y)))) (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)))) #s(hole binary64 (+ 1 (* (pow x 2) (+ (* 5/384 (/ (pow x 2) (pow y 4))) (* 1/8 (/ 1 (pow y 2))))))))
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#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(hole 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))))))))
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#s(approx (+ (* (/ (* x x) y) (/ 1/8 y)) 1) #s(hole binary64 1))
#s(approx (+ (* (/ (* x x) y) (/ 1/8 y)) 1) #s(literal 1 binary64))
#s(approx (+ (* (/ (* x x) y) (/ 1/8 y)) 1) #s(hole binary64 (+ 1 (* 1/8 (/ (pow x 2) (pow y 2))))))
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#s(approx (/ (* x x) y) #s(hole binary64 (/ (pow x 2) y)))
#s(approx (/ (* x x) y) (/.f64 (*.f64 x x) y))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx (* x x) (*.f64 x x))
#s(approx x #s(hole binary64 x))
#s(approx x x)
#s(approx (tan (/ x (* y 2))) #s(hole binary64 (* 1/2 (/ x y))))
#s(approx (tan (+ (PI) (/ x (* 2 y)))) (*.f64 (/.f64 x y) #s(literal 1/2 binary64)))
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#s(approx (tan (/ x (* y 2))) #s(hole binary64 (* x (+ (* (pow x 2) (+ (* 1/240 (/ (pow x 2) (pow y 5))) (* 1/24 (/ 1 (pow y 3))))) (* 1/2 (/ 1 y))))))
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#s(approx (/ x (* 2 y)) (*.f64 (/.f64 x y) #s(literal 1/2 binary64)))
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#s(approx (sin (/ x (* y 2))) (.f64 (fma.f64 #s(literal -1/48 binary64) (/.f64 (.f64 x x) (pow.f64 y #s(literal 3 binary64))) (/.f64 #s(literal 1/2 binary64) y)) x))
#s(approx (sin (/ x (* y 2))) #s(hole binary64 (* x (+ (* (pow x 2) (- (* 1/3840 (/ (pow x 2) (pow y 5))) (* 1/48 (/ 1 (pow y 3))))) (* 1/2 (/ 1 y))))))
#s(approx (sin (/ x (* y 2))) (.f64 (fma.f64 (-.f64 (/.f64 (.f64 #s(literal 1/3840 binary64) (.f64 x x)) (pow.f64 y #s(literal 5 binary64))) (/.f64 #s(literal 1/48 binary64) (pow.f64 y #s(literal 3 binary64)))) (.f64 x x) (/.f64 #s(literal 1/2 binary64) y)) x))
#s(approx (sin (/ x (* y 2))) #s(hole binary64 (* x (+ (* (pow x 2) (- (* (pow x 2) (+ (* -1/645120 (/ (pow x 2) (pow y 7))) (* 1/3840 (/ 1 (pow y 5))))) (* 1/48 (/ 1 (pow y 3))))) (* 1/2 (/ 1 y))))))
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#s(approx (* (/ x y) 1/2) #s(hole binary64 (* 1/2 (/ x y))))
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#s(approx (/ (tan (+ (PI) (/ x (* 2 y)))) (sin (/ x (* y 2)))) (/.f64 (*.f64 (fma.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) y) y #s(literal 0 binary64)) #s(literal 2 binary64) #s(literal 0 binary64)) x) x))
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#s(approx (tan (/ x (* y 2))) #s(hole binary64 (* -1 (/ (- (+ (* -1/2 x) (+ (* -1/3840 (/ (pow x 5) (pow y 4))) (+ (* 1/645120 (/ (pow x 7) (pow y 6))) (* 1/48 (/ (pow x 3) (pow y 2)))))) (+ (* -1/8 (/ (* (pow x 2) (- (* -1/3840 (pow x 5)) (+ (* -1/8 (* (pow x 2) (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3))))) (* -1/768 (pow x 5))))) (pow y 6))) (+ (* -1/8 (/ (* (pow x 2) (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3)))) (pow y 4))) (+ (* -1/768 (/ (pow x 5) (pow y 4))) (+ (* 1/92160 (/ (pow x 7) (pow y 6))) (+ (* 1/384 (/ (* (pow x 4) (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3)))) (pow y 6))) (* 1/16 (/ (pow x 3) (pow y 2))))))))) y))))
#s(approx (tan (+ (PI) (/ x (* 2 y)))) (/.f64 (-.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)))))) (fma.f64 (/.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 x x)) (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/24 binary64)) (.f64 #s(literal -1/768 binary64) (pow.f64 x #s(literal 5 binary64))))) (.f64 x x)) (pow.f64 y #s(literal 6 binary64))) #s(literal -1/8 binary64) (+.f64 (/.f64 (fma.f64 (.f64 #s(literal -1/8 binary64) (.f64 x x)) (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/24 binary64)) (.f64 #s(literal -1/768 binary64) (pow.f64 x #s(literal 5 binary64)))) (pow.f64 y #s(literal 4 binary64))) (-.f64 (/.f64 (fma.f64 (.f64 #s(literal 1/384 binary64) (pow.f64 x #s(literal 4 binary64))) (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/24 binary64)) (.f64 #s(literal 1/92160 binary64) (pow.f64 x #s(literal 7 binary64)))) (pow.f64 y #s(literal 6 binary64))) (.f64 (/.f64 #s(literal -1/16 binary64) y) (/.f64 (pow.f64 x #s(literal 3 binary64)) y)))))) (neg.f64 y)))
#s(approx (sin (/ x (* y 2))) #s(hole binary64 (* -1 (/ (+ (* -1/2 x) (* 1/48 (/ (pow x 3) (pow y 2)))) y))))
#s(approx (sin (/ x (* y 2))) (/.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)))
#s(approx (sin (/ x (* y 2))) #s(hole binary64 (* -1 (/ (+ (* -1/2 x) (+ (* -1/3840 (/ (pow x 5) (pow y 4))) (* 1/48 (/ (pow x 3) (pow y 2))))) y))))
#s(approx (sin (/ x (* y 2))) (/.f64 (fma.f64 (/.f64 #s(literal 1/48 binary64) y) (/.f64 (pow.f64 x #s(literal 3 binary64)) y) (fma.f64 #s(literal -1/3840 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)))
#s(approx (sin (/ x (* y 2))) #s(hole binary64 (* -1 (/ (+ (* -1/2 x) (+ (* -1/3840 (/ (pow x 5) (pow y 4))) (+ (* 1/645120 (/ (pow x 7) (pow y 6))) (* 1/48 (/ (pow x 3) (pow y 2)))))) y))))
#s(approx (sin (/ x (* y 2))) (/.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)))
#s(approx (/ (tan (+ (PI) (/ x (* 2 y)))) (sin (/ x (* y 2)))) #s(hole binary64 (* -1 (* y (+ (* -2 (/ (sin (PI)) (* x (cos (PI))))) (* 2 (/ (- (* -1/2 x) (* 1/2 (/ (* x (pow (sin (PI)) 2)) (pow (cos (PI)) 2)))) (* x y))))))))
#s(approx (/ (tan (+ (PI) (/ x (* 2 y)))) (sin (/ x (* y 2)))) (*.f64 (neg.f64 y) (fma.f64 (/.f64 #s(literal 2 binary64) y) (/.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 0 binary64)) x) #s(literal 0 binary64))))
#s(approx (/ (tan (+ (PI) (/ x (* 2 y)))) (sin (/ x (* y 2)))) #s(hole binary64 (* -1 (* y (+ (* -2 (/ (sin (PI)) (* x (cos (PI))))) (* -1 (/ (+ (* -2 (/ (- (* -1/2 x) (* 1/2 (/ (* x (pow (sin (PI)) 2)) (pow (cos (PI)) 2)))) x)) (* -1 (/ (- (/ (* (sin (PI)) (- (* -1/2 x) (* 1/2 (/ (* x (pow (sin (PI)) 2)) (pow (cos (PI)) 2))))) (cos (PI))) (* 1/12 (/ (* x (sin (PI))) (cos (PI))))) y))) y)))))))
#s(approx (/ (tan (+ (PI) (/ x (* 2 y)))) (sin (/ x (* y 2)))) (*.f64 (neg.f64 y) (-.f64 #s(literal 0 binary64) (/.f64 (fma.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 0 binary64)) x) #s(literal -2 binary64) #s(literal 0 binary64)) y))))
#s(approx (/ (tan (+ (PI) (/ x (* 2 y)))) (sin (/ x (* y 2)))) #s(hole binary64 (* -1 (* y (+ (* -2 (/ (sin (PI)) (* x (cos (PI))))) (* -1 (/ (+ (* -2 (/ (- (* -1/2 x) (* 1/2 (/ (* x (pow (sin (PI)) 2)) (pow (cos (PI)) 2)))) x)) (* -1 (/ (- (+ (* -1 (/ (- (* -2 (/ (- (* 1/48 (pow x 3)) (+ (* -1/4 (/ (* (pow x 2) (* (pow (sin (PI)) 2) (- (* -1/2 x) (* 1/2 (/ (* x (pow (sin (PI)) 2)) (pow (cos (PI)) 2)))))) (pow (cos (PI)) 2))) (+ (* -1/8 (* (pow x 2) (- (* -1/2 x) (* 1/2 (/ (* x (pow (sin (PI)) 2)) (pow (cos (PI)) 2)))))) (* -1/48 (/ (* (pow x 3) (pow (sin (PI)) 2)) (pow (cos (PI)) 2)))))) x)) (* 1/12 (* x (- (* -1/2 x) (* 1/2 (/ (* x (pow (sin (PI)) 2)) (pow (cos (PI)) 2))))))) y)) (/ (* (sin (PI)) (- (* -1/2 x) (* 1/2 (/ (* x (pow (sin (PI)) 2)) (pow (cos (PI)) 2))))) (cos (PI)))) (* 1/12 (/ (* x (sin (PI))) (cos (PI))))) y))) y)))))))
#s(approx (/ (tan (+ (PI) (/ x (* 2 y)))) (sin (/ x (* y 2)))) (.f64 (neg.f64 y) (-.f64 #s(literal 0 binary64) (/.f64 (fma.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 0 binary64)) x) #s(literal -2 binary64) (/.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 (-.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/48 binary64)) (fma.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) x) (.f64 x x) #s(literal 0 binary64)) #s(literal -1/8 binary64) #s(literal 0 binary64))) x) #s(literal -2 binary64) (.f64 #s(literal -1/12 binary64) (.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 0 binary64)) x))) (neg.f64 y)) #s(literal -1 binary64) #s(literal 0 binary64)) y)) y))))
#s(approx (tan (+ (PI) (/ x (* 2 y)))) #s(hole binary64 (+ (* -1 (/ (- (* -1/2 x) (* 1/2 (/ (* x (pow (sin (PI)) 2)) (pow (cos (PI)) 2)))) y)) (/ (sin (PI)) (cos (PI))))))
#s(approx (tan (+ (PI) (/ x (* 2 y)))) (/.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 0 binary64)) (neg.f64 y)))
#s(approx (tan (+ (PI) (/ x (* 2 y)))) #s(hole binary64 (+ (* -1 (/ (- (+ (* -1/2 x) (* 1/2 (/ (* x (* (sin (PI)) (- (* -1/2 x) (* 1/2 (/ (* x (pow (sin (PI)) 2)) (pow (cos (PI)) 2)))))) (* y (cos (PI)))))) (* 1/2 (/ (* x (pow (sin (PI)) 2)) (pow (cos (PI)) 2)))) y)) (/ (sin (PI)) (cos (PI))))))
#s(approx (tan (+ (PI) (/ x (* 2 y)))) (/.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 0 binary64)) (neg.f64 y)))
#s(approx (tan (+ (PI) (/ x (* 2 y)))) #s(hole binary64 (+ (* -1 (/ (- (+ (* -1 (/ (- (* -1 (/ (- (* 1/48 (pow x 3)) (+ (* -1/4 (/ (* (pow x 2) (* (pow (sin (PI)) 2) (- (* -1/2 x) (* 1/2 (/ (* x (pow (sin (PI)) 2)) (pow (cos (PI)) 2)))))) (pow (cos (PI)) 2))) (+ (* -1/8 (* (pow x 2) (- (* -1/2 x) (* 1/2 (/ (* x (pow (sin (PI)) 2)) (pow (cos (PI)) 2)))))) (* -1/48 (/ (* (pow x 3) (pow (sin (PI)) 2)) (pow (cos (PI)) 2)))))) y)) (* 1/2 (/ (* x (* (sin (PI)) (- (* -1/2 x) (* 1/2 (/ (* x (pow (sin (PI)) 2)) (pow (cos (PI)) 2)))))) (cos (PI))))) y)) (* -1/2 x)) (* 1/2 (/ (* x (pow (sin (PI)) 2)) (pow (cos (PI)) 2)))) y)) (/ (sin (PI)) (cos (PI))))))
#s(approx (tan (+ (PI) (/ x (* 2 y)))) (/.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 (-.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/48 binary64)) (fma.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) x) (*.f64 x x) #s(literal 0 binary64)) #s(literal -1/8 binary64) #s(literal 0 binary64))) y) #s(literal -1 binary64) #s(literal 0 binary64)) y) #s(literal -1 binary64) (fma.f64 #s(literal -1/2 binary64) x #s(literal 0 binary64))) (neg.f64 y)))
#s(approx (/ (- 1 (cos (/ x y))) (sin (/ x y))) #s(hole binary64 (* -1 (/ (- (+ (* -1/2 x) (* 1/24 (/ (pow x 3) (pow y 2)))) (* 1/12 (/ (pow x 3) (pow y 2)))) y))))
#s(approx (tan (+ (PI) (/ x (* 2 y)))) (/.f64 (fma.f64 #s(literal -1/2 binary64) x (*.f64 (/.f64 #s(literal -1/24 binary64) y) (/.f64 (pow.f64 x #s(literal 3 binary64)) y))) (neg.f64 y)))
#s(approx (/ (- 1 (cos (/ x y))) (sin (/ x y))) #s(hole binary64 (* -1 (/ (- (+ (* -1/2 x) (+ (* -1/720 (/ (pow x 5) (pow y 4))) (* 1/24 (/ (pow x 3) (pow y 2))))) (+ (* -1/6 (/ (* (pow x 2) (- (* 1/24 (pow x 3)) (* 1/12 (pow x 3)))) (pow y 4))) (+ (* -1/240 (/ (pow x 5) (pow y 4))) (* 1/12 (/ (pow x 3) (pow y 2)))))) y))))
#s(approx (tan (+ (PI) (/ x (* 2 y)))) (/.f64 (-.f64 (fma.f64 (/.f64 #s(literal 1/24 binary64) y) (/.f64 (pow.f64 x #s(literal 3 binary64)) y) (fma.f64 (/.f64 (pow.f64 x #s(literal 5 binary64)) (pow.f64 y #s(literal 4 binary64))) #s(literal -1/720 binary64) (.f64 #s(literal -1/2 binary64) x))) (-.f64 (/.f64 (fma.f64 (.f64 #s(literal -1/6 binary64) (.f64 x x)) (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/24 binary64)) (.f64 #s(literal -1/240 binary64) (pow.f64 x #s(literal 5 binary64)))) (pow.f64 y #s(literal 4 binary64))) (.f64 (/.f64 #s(literal -1/12 binary64) y) (/.f64 (pow.f64 x #s(literal 3 binary64)) y)))) (neg.f64 y)))
#s(approx (/ (- 1 (cos (/ x y))) (sin (/ x y))) #s(hole binary64 (* -1 (/ (- (+ (* -1/2 x) (+ (* -1/720 (/ (pow x 5) (pow y 4))) (+ (* 1/40320 (/ (pow x 7) (pow y 6))) (* 1/24 (/ (pow x 3) (pow y 2)))))) (+ (* -1/6 (/ (* (pow x 2) (- (* -1/720 (pow x 5)) (+ (* -1/6 (* (pow x 2) (- (* 1/24 (pow x 3)) (* 1/12 (pow x 3))))) (* -1/240 (pow x 5))))) (pow y 6))) (+ (* -1/6 (/ (* (pow x 2) (- (* 1/24 (pow x 3)) (* 1/12 (pow x 3)))) (pow y 4))) (+ (* -1/240 (/ (pow x 5) (pow y 4))) (+ (* 1/10080 (/ (pow x 7) (pow y 6))) (+ (* 1/120 (/ (* (pow x 4) (- (* 1/24 (pow x 3)) (* 1/12 (pow x 3)))) (pow y 6))) (* 1/12 (/ (pow x 3) (pow y 2))))))))) y))))
#s(approx (tan (+ (PI) (/ x (* 2 y)))) (/.f64 (-.f64 (fma.f64 #s(literal -1/2 binary64) x (fma.f64 #s(literal 1/40320 binary64) (/.f64 (pow.f64 x #s(literal 7 binary64)) (pow.f64 y #s(literal 6 binary64))) (fma.f64 (/.f64 #s(literal 1/24 binary64) y) (/.f64 (pow.f64 x #s(literal 3 binary64)) y) (/.f64 (.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal -1/720 binary64)) (pow.f64 y #s(literal 4 binary64)))))) (+.f64 (fma.f64 (/.f64 (.f64 (-.f64 (.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal -1/720 binary64)) (fma.f64 (.f64 #s(literal -1/6 binary64) (.f64 x x)) (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/24 binary64)) (.f64 #s(literal -1/240 binary64) (pow.f64 x #s(literal 5 binary64))))) (.f64 x x)) (pow.f64 y #s(literal 6 binary64))) #s(literal -1/6 binary64) (/.f64 (fma.f64 (.f64 #s(literal -1/6 binary64) (.f64 x x)) (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/24 binary64)) (.f64 #s(literal -1/240 binary64) (pow.f64 x #s(literal 5 binary64)))) (pow.f64 y #s(literal 4 binary64)))) (-.f64 (/.f64 (fma.f64 #s(literal 1/10080 binary64) (pow.f64 x #s(literal 7 binary64)) (.f64 #s(literal 1/120 binary64) (.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/24 binary64)) (pow.f64 x #s(literal 4 binary64))))) (pow.f64 y #s(literal 6 binary64))) (.f64 (/.f64 #s(literal -1/12 binary64) y) (/.f64 (pow.f64 x #s(literal 3 binary64)) y))))) (neg.f64 y)))
#s(approx (sin (/ x y)) #s(hole binary64 (* -1 (/ (+ (* -1 x) (* 1/6 (/ (pow x 3) (pow y 2)))) y))))
#s(approx (sin (/ x 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)))
#s(approx (sin (/ x y)) #s(hole binary64 (* -1 (/ (+ (* -1 x) (+ (* -1/120 (/ (pow x 5) (pow y 4))) (* 1/6 (/ (pow x 3) (pow y 2))))) y))))
#s(approx (sin (/ x 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)))
#s(approx (sin (/ x y)) #s(hole binary64 (* -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))))
#s(approx (sin (/ x 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)))

rewrite87.0ms (1.7%)

Memory

-2.7MiB live, 86.3MiB allocated; 17ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	36	207
0	61	193
1	193	193
0	1217	193

Stop Event

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

Counts

31 → 247

Calls

Call 1

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

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

eval99.0ms (1.9%)

Memory: -20.3MiB live, 84.5MiB allocated; 39ms collecting garbage
Compiler: Compiled 11 112 to 1 511 computations (86.4% saved)

prune55.0ms (1.1%)

Memory

-9.5MiB live, 83.4MiB allocated; 10ms collecting garbage

Pruning

34 alts after pruning (33 fresh and 1 done)

	Pruned	Kept	Total
New	336	24	360
Fresh	0	9	9
Picked	4	1	5
Done	0	0	0
Total	340	34	374

Accuracy

62.8%

Counts

374 → 34

Alt Table

Click to see full alt table

Status	Accuracy	Program
	6.8%	(/.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 (cos.f64 (/.f64 x y)) #s(literal 1 binary64))) (/.f64 (pow.f64 (cos.f64 (/.f64 x y)) #s(literal 2 binary64)) (+.f64 (cos.f64 (/.f64 x y)) #s(literal 1 binary64)))) (sin.f64 (/.f64 x y))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
▶	6.2%	(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (sin.f64 (+.f64 (/.f64 (neg.f64 x) y) (/.f64 (PI.f64) #s(literal 2 binary64))))) (sin.f64 (/.f64 x y))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
	6.3%	(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (sin.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 x y)))) (sin.f64 (/.f64 x y))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
	6.8%	(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x y))) (sin.f64 (/.f64 x y))) (sin.f64 (/.f64 x (+.f64 y y))))
	6.7%	(/.f64 (/.f64 (+.f64 (tan.f64 (/.f64 x (.f64 #s(literal 2 binary64) y))) (tan.f64 (PI.f64))) (-.f64 #s(literal 1 binary64) (.f64 (tan.f64 (/.f64 x (.f64 #s(literal 2 binary64) y))) (tan.f64 (PI.f64))))) (sin.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))))
	43.5%	(/.f64 (/.f64 (sin.f64 (/.f64 x (.f64 #s(literal 2 binary64) y))) (cos.f64 (/.f64 x (.f64 #s(literal 2 binary64) y)))) #s(approx (sin (/ x (* y 2))) (*.f64 (/.f64 x y) #s(literal 1/2 binary64))))
	43.8%	(/.f64 (/.f64 (sin.f64 (/.f64 x y)) (+.f64 (cos.f64 (/.f64 x y)) #s(literal 1 binary64))) #s(approx (sin (/ x (* y 2))) (*.f64 (/.f64 x y) #s(literal 1/2 binary64))))
	47.3%	(/.f64 (/.f64 (sin.f64 (/.f64 x y)) (+.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x y)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
	47.7%	(/.f64 (/.f64 (neg.f64 (sin.f64 (/.f64 x (.f64 #s(literal 2 binary64) y)))) (cos.f64 (+.f64 (PI.f64) (/.f64 x (.f64 #s(literal 2 binary64) y))))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
	6.2%	(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 (/.f64 x y)) #s(literal 3 binary64))) (.f64 (fma.f64 (cos.f64 (/.f64 x y)) (+.f64 (cos.f64 (/.f64 x y)) #s(literal 1 binary64)) #s(literal 1 binary64)) (.f64 (sin.f64 (/.f64 x y)) (sin.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y))))))
	6.2%	(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 (/.f64 x y)) #s(literal 2 binary64))) (.f64 (+.f64 (cos.f64 (/.f64 x y)) #s(literal 1 binary64)) (.f64 (sin.f64 (/.f64 x y)) (sin.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y))))))
▶	6.2%	(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x y))) (.f64 (sin.f64 (/.f64 x y)) (sin.f64 (/.f64 x (.f64 #s(literal 2 binary64) y)))))
	2.6%	(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x y))) (.f64 (sin.f64 (/.f64 x y)) #s(approx (sin (/ x ( y 2))) (*.f64 #s(literal 1/2 binary64) (/.f64 x y)))))
	18.0%	(/.f64 (tan.f64 (/.f64 x (/.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (fma.f64 y y (-.f64 (.f64 y y) (.f64 y y)))))) #s(approx (sin (/ x (* y 2))) (*.f64 (/.f64 x y) #s(literal 1/2 binary64))))
	47.6%	(/.f64 (tan.f64 (/.f64 x (+.f64 y y))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
	43.5%	(/.f64 (tan.f64 (/.f64 x (+.f64 y y))) #s(approx (sin (/ x (* y 2))) (*.f64 (/.f64 x y) #s(literal 1/2 binary64))))
	40.9%	(/.f64 (tan.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) #s(approx (sin (/ x ( y 2))) (.f64 (/.f64 (fma.f64 (/.f64 #s(literal -1/48 binary64) y) (/.f64 (.f64 x x) y) #s(literal 1/2 binary64)) y) x)))
	6.6%	(/.f64 (tan.f64 (+.f64 (+.f64 (PI.f64) (/.f64 x (.f64 #s(literal 2 binary64) y))) (PI.f64))) (sin.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))))
	3.5%	(/.f64 (tan.f64 (+.f64 (PI.f64) (/.f64 x (.f64 #s(literal 2 binary64) y)))) (sin.f64 (/.f64 x (/.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (fma.f64 y y (-.f64 (.f64 y y) (*.f64 y y)))))))
▶	6.7%	(/.f64 (tan.f64 (+.f64 (PI.f64) (/.f64 x (*.f64 #s(literal 2 binary64) y)))) (sin.f64 (/.f64 x (+.f64 y y))))
	6.4%	(/.f64 (tan.f64 #s(approx (+ (PI) (/ x (* 2 y))) (.f64 (+.f64 (/.f64 (PI.f64) x) (/.f64 #s(literal 1/2 binary64) y)) x))) (sin.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))))
	2.4%	(/.f64 (tan.f64 #s(approx (+ (PI) (/ x (* 2 y))) (PI.f64))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
	47.6%	(/.f64 (sin.f64 (/.f64 x (.f64 #s(literal 2 binary64) y))) (.f64 (cos.f64 (/.f64 x (.f64 #s(literal 2 binary64) y))) (sin.f64 (/.f64 x (.f64 #s(literal 2 binary64) y)))))
	43.5%	(/.f64 (sin.f64 (/.f64 x (.f64 #s(literal 2 binary64) y))) (.f64 (cos.f64 (/.f64 x (.f64 #s(literal 2 binary64) y))) #s(approx (sin (/ x ( y 2))) (*.f64 #s(literal 1/2 binary64) (/.f64 x y)))))
	43.3%	(/.f64 #s(approx (tan (/ x (* y 2))) (.f64 (/.f64 x y) #s(literal 1/2 binary64))) (sin.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))))
	6.3%	(-.f64 (/.f64 (pow.f64 (sin.f64 (/.f64 x y)) #s(literal -1 binary64)) (sin.f64 (/.f64 x (.f64 #s(literal 2 binary64) y)))) (/.f64 (/.f64 (cos.f64 (/.f64 x y)) (sin.f64 (/.f64 x y))) (sin.f64 (/.f64 x (.f64 #s(literal 2 binary64) y)))))
	6.5%	(-.f64 (/.f64 #s(literal 1 binary64) (.f64 (sin.f64 (/.f64 x y)) (sin.f64 (/.f64 x (.f64 #s(literal 2 binary64) y))))) (/.f64 (cos.f64 (/.f64 x y)) (.f64 (sin.f64 (/.f64 x y)) (sin.f64 (/.f64 x (.f64 #s(literal 2 binary64) y))))))
	53.2%	#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (fma.f64 (*.f64 (/.f64 x y) x) (/.f64 #s(literal 1/8 binary64) y) #s(literal 1 binary64)))
	46.7%	#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)))
▶	57.0%	#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)))))
✓	58.0%	#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(literal 1 binary64))
	45.7%	#s(approx (/ (tan (+ (PI) (/ x (* 2 y)))) (sin (/ x (* y 2)))) (/.f64 (fma.f64 (fma.f64 (fma.f64 (fma.f64 (fma.f64 (fma.f64 (/.f64 #s(literal -1/8 binary64) y) (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 0 binary64)) y) (/.f64 #s(literal 1/48 binary64) (pow.f64 y #s(literal 3 binary64)))) y #s(literal 0 binary64)) #s(literal -2 binary64) (.f64 #s(literal 1/12 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 0 binary64)) y))) x #s(literal 0 binary64)) x (.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) y) y #s(literal 0 binary64)) #s(literal 2 binary64))) x #s(literal 0 binary64)) x))
	6.8%	#s(approx (/ (tan (+ (PI) (/ x (* 2 y)))) (sin (/ x (* y 2)))) (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x y))) (sin.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64)))) (sin.f64 (/.f64 x y))))
▶	3.1%	#s(approx (/ (tan (+ (PI) (/ x (* 2 y)))) (sin (/ x (* y 2)))) #s(literal 0 binary64))

Compiler

Compiled 1 667 to 1 080 computations (35.2% saved)

series57.0ms (1.1%)

Memory

3.4MiB live, 102.2MiB allocated; 17ms collecting garbage

Counts

38 → 203

Calls

Call 1

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

Outputs
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(hole binary64 1))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(hole binary64 (+ 1 (* 1/8 (/ (pow x 2) (pow y 2))))))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(hole binary64 (+ 1 (* (pow x 2) (+ (* 5/384 (/ (pow x 2) (pow y 4))) (* 1/8 (/ 1 (pow y 2))))))))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(hole 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))))))))
#s(approx (/ 1 (cos (* -1/2 (/ x y)))) #s(hole binary64 1))
#s(approx (/ 1 (cos (* -1/2 (/ x y)))) #s(hole binary64 (+ 1 (* 1/8 (/ (pow x 2) (pow y 2))))))
#s(approx (/ 1 (cos (* -1/2 (/ x y)))) #s(hole binary64 (+ 1 (* (pow x 2) (+ (* 5/384 (/ (pow x 2) (pow y 4))) (* 1/8 (/ 1 (pow y 2))))))))
#s(approx (/ 1 (cos (* -1/2 (/ x y)))) #s(hole 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))))))))
#s(approx (cos (* -1/2 (/ x y))) #s(hole binary64 1))
#s(approx (cos (* -1/2 (/ x y))) #s(hole binary64 (+ 1 (* -1/8 (/ (pow x 2) (pow y 2))))))
#s(approx (cos (* -1/2 (/ x y))) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 1/384 (/ (pow x 2) (pow y 4))) (* 1/8 (/ 1 (pow y 2))))))))
#s(approx (cos (* -1/2 (/ x y))) #s(hole 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))))))))
#s(approx (* -1/2 (/ x y)) #s(hole binary64 (* -1/2 (/ x y))))
#s(approx (/ x y) #s(hole binary64 (/ x y)))
#s(approx x #s(hole binary64 x))
#s(approx (/ (tan (+ (PI) (/ x (* 2 y)))) (sin (/ x (* y 2)))) #s(hole binary64 (* 2 (/ (* y (sin (PI))) (* x (cos (PI)))))))
#s(approx (/ (tan (+ (PI) (/ x (* 2 y)))) (sin (/ x (* y 2)))) #s(hole binary64 (/ (+ (* 2 (* x (* y (- (* 1/2 (/ 1 y)) (* -1/2 (/ (pow (sin (PI)) 2) (* y (pow (cos (PI)) 2)))))))) (* 2 (/ (* y (sin (PI))) (cos (PI))))) x)))
#s(approx (/ (tan (+ (PI) (/ x (* 2 y)))) (sin (/ x (* y 2)))) #s(hole binary64 (/ (+ (* 2 (/ (* y (sin (PI))) (cos (PI)))) (* x (+ (* 2 (* y (- (* 1/2 (/ 1 y)) (* -1/2 (/ (pow (sin (PI)) 2) (* y (pow (cos (PI)) 2))))))) (* x (- (/ (* (sin (PI)) (- (* 1/2 (/ 1 y)) (* -1/2 (/ (pow (sin (PI)) 2) (* y (pow (cos (PI)) 2)))))) (cos (PI))) (* -1/12 (/ (sin (PI)) (* y (cos (PI)))))))))) x)))
#s(approx (/ (tan (+ (PI) (/ x (* 2 y)))) (sin (/ x (* y 2)))) #s(hole binary64 (/ (+ (* 2 (/ (* y (sin (PI))) (cos (PI)))) (* x (+ (* 2 (* y (- (* 1/2 (/ 1 y)) (* -1/2 (/ (pow (sin (PI)) 2) (* y (pow (cos (PI)) 2))))))) (* x (- (+ (* x (- (* -2 (* y (+ (* -1/4 (/ (* (pow (sin (PI)) 2) (- (* 1/2 (/ 1 y)) (* -1/2 (/ (pow (sin (PI)) 2) (* y (pow (cos (PI)) 2)))))) (* (pow y 2) (pow (cos (PI)) 2)))) (+ (* -1/8 (/ (- (* 1/2 (/ 1 y)) (* -1/2 (/ (pow (sin (PI)) 2) (* y (pow (cos (PI)) 2))))) (pow y 2))) (+ (* 1/48 (/ 1 (pow y 3))) (* 1/48 (/ (pow (sin (PI)) 2) (* (pow y 3) (pow (cos (PI)) 2))))))))) (* -1/12 (/ (- (* 1/2 (/ 1 y)) (* -1/2 (/ (pow (sin (PI)) 2) (* y (pow (cos (PI)) 2))))) y)))) (/ (* (sin (PI)) (- (* 1/2 (/ 1 y)) (* -1/2 (/ (pow (sin (PI)) 2) (* y (pow (cos (PI)) 2)))))) (cos (PI)))) (* -1/12 (/ (sin (PI)) (* y (cos (PI)))))))))) x)))
#s(approx (/ (tan (+ (PI) (/ x (* 2 y)))) (sin (/ x (+ y y)))) #s(hole binary64 (* 2 (/ (* y (sin (PI))) (* x (cos (PI)))))))
#s(approx (/ (tan (+ (PI) (/ x (* 2 y)))) (sin (/ x (+ y y)))) #s(hole binary64 (/ (+ (* 2 (* x (* y (- (* 1/2 (/ 1 y)) (* -1/2 (/ (pow (sin (PI)) 2) (* y (pow (cos (PI)) 2)))))))) (* 2 (/ (* y (sin (PI))) (cos (PI))))) x)))
#s(approx (/ (tan (+ (PI) (/ x (* 2 y)))) (sin (/ x (+ y y)))) #s(hole binary64 (/ (+ (* 2 (/ (* y (sin (PI))) (cos (PI)))) (* x (+ (* 2 (* y (- (* 1/2 (/ 1 y)) (* -1/2 (/ (pow (sin (PI)) 2) (* y (pow (cos (PI)) 2))))))) (* x (- (/ (* (sin (PI)) (- (* 1/2 (/ 1 y)) (* -1/2 (/ (pow (sin (PI)) 2) (* y (pow (cos (PI)) 2)))))) (cos (PI))) (* -1/12 (/ (sin (PI)) (* y (cos (PI)))))))))) x)))
#s(approx (/ (tan (+ (PI) (/ x (* 2 y)))) (sin (/ x (+ y y)))) #s(hole binary64 (/ (+ (* 2 (/ (* y (sin (PI))) (cos (PI)))) (* x (+ (* 2 (* y (- (* 1/2 (/ 1 y)) (* -1/2 (/ (pow (sin (PI)) 2) (* y (pow (cos (PI)) 2))))))) (* x (- (+ (* x (- (* -2 (* y (+ (* -1/4 (/ (* (pow (sin (PI)) 2) (- (* 1/2 (/ 1 y)) (* -1/2 (/ (pow (sin (PI)) 2) (* y (pow (cos (PI)) 2)))))) (* (pow y 2) (pow (cos (PI)) 2)))) (+ (* -1/8 (/ (- (* 1/2 (/ 1 y)) (* -1/2 (/ (pow (sin (PI)) 2) (* y (pow (cos (PI)) 2))))) (pow y 2))) (+ (* 1/48 (/ 1 (pow y 3))) (* 1/48 (/ (pow (sin (PI)) 2) (* (pow y 3) (pow (cos (PI)) 2))))))))) (* -1/12 (/ (- (* 1/2 (/ 1 y)) (* -1/2 (/ (pow (sin (PI)) 2) (* y (pow (cos (PI)) 2))))) y)))) (/ (* (sin (PI)) (- (* 1/2 (/ 1 y)) (* -1/2 (/ (pow (sin (PI)) 2) (* y (pow (cos (PI)) 2)))))) (cos (PI)))) (* -1/12 (/ (sin (PI)) (* y (cos (PI)))))))))) x)))
#s(approx (tan (+ (PI) (/ x (* 2 y)))) #s(hole binary64 (/ (sin (PI)) (cos (PI)))))
#s(approx (tan (+ (PI) (/ x (* 2 y)))) #s(hole binary64 (+ (* x (- (* 1/2 (/ 1 y)) (* -1/2 (/ (pow (sin (PI)) 2) (* y (pow (cos (PI)) 2)))))) (/ (sin (PI)) (cos (PI))))))
#s(approx (tan (+ (PI) (/ x (* 2 y)))) #s(hole binary64 (+ (* x (- (+ (* 1/2 (/ 1 y)) (* 1/2 (/ (* x (* (sin (PI)) (- (* 1/2 (/ 1 y)) (* -1/2 (/ (pow (sin (PI)) 2) (* y (pow (cos (PI)) 2))))))) (* y (cos (PI)))))) (* -1/2 (/ (pow (sin (PI)) 2) (* y (pow (cos (PI)) 2)))))) (/ (sin (PI)) (cos (PI))))))
#s(approx (tan (+ (PI) (/ x (* 2 y)))) #s(hole binary64 (+ (* x (- (+ (* 1/2 (/ 1 y)) (* x (- (* -1 (* x (+ (* -1/4 (/ (* (pow (sin (PI)) 2) (- (* 1/2 (/ 1 y)) (* -1/2 (/ (pow (sin (PI)) 2) (* y (pow (cos (PI)) 2)))))) (* (pow y 2) (pow (cos (PI)) 2)))) (+ (* -1/8 (/ (- (* 1/2 (/ 1 y)) (* -1/2 (/ (pow (sin (PI)) 2) (* y (pow (cos (PI)) 2))))) (pow y 2))) (+ (* 1/48 (/ 1 (pow y 3))) (* 1/48 (/ (pow (sin (PI)) 2) (* (pow y 3) (pow (cos (PI)) 2))))))))) (* -1/2 (/ (* (sin (PI)) (- (* 1/2 (/ 1 y)) (* -1/2 (/ (pow (sin (PI)) 2) (* y (pow (cos (PI)) 2)))))) (* y (cos (PI)))))))) (* -1/2 (/ (pow (sin (PI)) 2) (* y (pow (cos (PI)) 2)))))) (/ (sin (PI)) (cos (PI))))))
#s(approx (+ (PI) (/ x (* 2 y))) #s(hole binary64 (PI)))
#s(approx (+ (PI) (/ x (* 2 y))) #s(hole binary64 (+ (PI) (* 1/2 (/ x y)))))
#s(approx (/ x (* 2 y)) #s(hole binary64 (* 1/2 (/ x y))))
#s(approx (sin (/ x (+ y y))) #s(hole binary64 (* 1/2 (/ x y))))
#s(approx (sin (/ x (+ y y))) #s(hole binary64 (* x (+ (* -1/48 (/ (pow x 2) (pow y 3))) (* 1/2 (/ 1 y))))))
#s(approx (sin (/ x (+ y y))) #s(hole binary64 (* x (+ (* (pow x 2) (- (* 1/3840 (/ (pow x 2) (pow y 5))) (* 1/48 (/ 1 (pow y 3))))) (* 1/2 (/ 1 y))))))
#s(approx (sin (/ x (+ y y))) #s(hole binary64 (* 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))))))
#s(approx (/ x (+ y y)) #s(hole binary64 (* 1/2 (/ x y))))
#s(approx (/ (- 1 (cos (/ x y))) (* (sin (/ x y)) (sin (/ x (* 2 y))))) #s(hole binary64 1))
#s(approx (/ (- 1 (cos (/ x y))) (* (sin (/ x y)) (sin (/ x (* 2 y))))) #s(hole binary64 (+ 1 (* 1/8 (/ (pow x 2) (pow y 2))))))
#s(approx (/ (- 1 (cos (/ x y))) (* (sin (/ x y)) (sin (/ x (* 2 y))))) #s(hole binary64 (+ 1 (* (pow x 2) (+ (* 5/384 (/ (pow x 2) (pow y 4))) (* 1/8 (/ 1 (pow y 2))))))))
#s(approx (/ (- 1 (cos (/ x y))) (* (sin (/ x y)) (sin (/ x (* 2 y))))) #s(hole binary64 (+ 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))))))))
#s(approx (- 1 (cos (/ x y))) #s(hole binary64 (* 1/2 (/ (pow x 2) (pow y 2)))))
#s(approx (- 1 (cos (/ x y))) #s(hole binary64 (* (pow x 2) (+ (* -1/24 (/ (pow x 2) (pow y 4))) (* 1/2 (/ 1 (pow y 2)))))))
#s(approx (- 1 (cos (/ x y))) #s(hole binary64 (* (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)))))))
#s(approx (- 1 (cos (/ x y))) #s(hole binary64 (* (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)))))))
#s(approx (cos (/ x y)) #s(hole binary64 1))
#s(approx (cos (/ x y)) #s(hole binary64 (+ 1 (* -1/2 (/ (pow x 2) (pow y 2))))))
#s(approx (cos (/ x y)) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 1/24 (/ (pow x 2) (pow y 4))) (* 1/2 (/ 1 (pow y 2))))))))
#s(approx (cos (/ x y)) #s(hole binary64 (+ 1 (* (pow x 2) (- (* (pow x 2) (+ (* -1/720 (/ (pow x 2) (pow y 6))) (* 1/24 (/ 1 (pow y 4))))) (* 1/2 (/ 1 (pow y 2))))))))
#s(approx (* (sin (/ x y)) (sin (/ x (* 2 y)))) #s(hole binary64 (* 1/2 (/ (pow x 2) (pow y 2)))))
#s(approx (* (sin (/ x y)) (sin (/ x (* 2 y)))) #s(hole binary64 (* (pow x 2) (+ (* -5/48 (/ (pow x 2) (pow y 4))) (* 1/2 (/ 1 (pow y 2)))))))
#s(approx (* (sin (/ x y)) (sin (/ x (* 2 y)))) #s(hole binary64 (* (pow x 2) (+ (* (pow x 2) (- (* 91/11520 (/ (pow x 2) (pow y 6))) (* 5/48 (/ 1 (pow y 4))))) (* 1/2 (/ 1 (pow y 2)))))))
#s(approx (* (sin (/ x y)) (sin (/ x (* 2 y)))) #s(hole binary64 (* (pow x 2) (+ (* (pow x 2) (- (* (pow x 2) (+ (* -1 (* (pow x 2) (+ (* 1/645120 (/ 1 (pow y 8))) (* 17/53760 (/ 1 (pow y 8)))))) (* 91/11520 (/ 1 (pow y 6))))) (* 5/48 (/ 1 (pow y 4))))) (* 1/2 (/ 1 (pow y 2)))))))
#s(approx (sin (/ x y)) #s(hole binary64 (/ x y)))
#s(approx (sin (/ x y)) #s(hole binary64 (* x (+ (* -1/6 (/ (pow x 2) (pow y 3))) (/ 1 y)))))
#s(approx (sin (/ x y)) #s(hole binary64 (* x (+ (* (pow x 2) (- (* 1/120 (/ (pow x 2) (pow y 5))) (* 1/6 (/ 1 (pow y 3))))) (/ 1 y)))))
#s(approx (sin (/ x y)) #s(hole binary64 (* 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)))))
#s(approx (sin (/ x (* 2 y))) #s(hole binary64 (* 1/2 (/ x y))))
#s(approx (sin (/ x (* 2 y))) #s(hole binary64 (* x (+ (* -1/48 (/ (pow x 2) (pow y 3))) (* 1/2 (/ 1 y))))))
#s(approx (sin (/ x (* 2 y))) #s(hole binary64 (* x (+ (* (pow x 2) (- (* 1/3840 (/ (pow x 2) (pow y 5))) (* 1/48 (/ 1 (pow y 3))))) (* 1/2 (/ 1 y))))))
#s(approx (sin (/ x (* 2 y))) #s(hole binary64 (* 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))))))
#s(approx (/ (/ (- 1 (sin (+ (/ (neg x) y) (/ (PI) 2)))) (sin (/ x y))) (sin (/ x (* y 2)))) #s(hole binary64 (* 2 (/ (* (pow y 2) (- 1 (sin (* 1/2 (PI))))) (pow x 2)))))
#s(approx (/ (/ (- 1 (sin (+ (/ (neg x) y) (/ (PI) 2)))) (sin (/ x y))) (sin (/ x (* y 2)))) #s(hole binary64 (/ (+ (* 2 (* x (* y (cos (* 1/2 (PI)))))) (* 2 (* (pow y 2) (- 1 (sin (* 1/2 (PI))))))) (pow x 2))))
#s(approx (/ (/ (- 1 (sin (+ (/ (neg x) y) (/ (PI) 2)))) (sin (/ x y))) (sin (/ x (* y 2)))) #s(hole binary64 (/ (+ (* 2 (* (pow y 2) (- 1 (sin (* 1/2 (PI)))))) (* x (+ (* 2 (* y (cos (* 1/2 (PI))))) (* x (- (sin (* 1/2 (PI))) (* -5/12 (- 1 (sin (* 1/2 (PI)))))))))) (pow x 2))))
#s(approx (/ (/ (- 1 (sin (+ (/ (neg x) y) (/ (PI) 2)))) (sin (/ x y))) (sin (/ x (* y 2)))) #s(hole binary64 (/ (+ (* 2 (* (pow y 2) (- 1 (sin (* 1/2 (PI)))))) (* x (+ (* 2 (* y (cos (* 1/2 (PI))))) (* x (- (+ (sin (* 1/2 (PI))) (* x (- (* -1/3 (/ (cos (* 1/2 (PI))) y)) (* -5/12 (/ (cos (* 1/2 (PI))) y))))) (* -5/12 (- 1 (sin (* 1/2 (PI)))))))))) (pow x 2))))
#s(approx (/ (- 1 (sin (+ (/ (neg x) y) (/ (PI) 2)))) (sin (/ x y))) #s(hole binary64 (/ (* y (- 1 (sin (* 1/2 (PI))))) x)))
#s(approx (/ (- 1 (sin (+ (/ (neg x) y) (/ (PI) 2)))) (sin (/ x y))) #s(hole binary64 (/ (+ (* x (cos (* 1/2 (PI)))) (* y (- 1 (sin (* 1/2 (PI)))))) x)))
#s(approx (/ (- 1 (sin (+ (/ (neg x) y) (/ (PI) 2)))) (sin (/ x y))) #s(hole binary64 (/ (+ (* x (+ (cos (* 1/2 (PI))) (* x (- (* 1/2 (/ (sin (* 1/2 (PI))) y)) (* -1/6 (/ (- 1 (sin (* 1/2 (PI)))) y)))))) (* y (- 1 (sin (* 1/2 (PI)))))) x)))
#s(approx (/ (- 1 (sin (+ (/ (neg x) y) (/ (PI) 2)))) (sin (/ x y))) #s(hole binary64 (/ (+ (* x (+ (cos (* 1/2 (PI))) (* x (- (+ (* 1/2 (/ (sin (* 1/2 (PI))) y)) (* (pow x 2) (- (* -1/24 (/ (sin (* 1/2 (PI))) (pow y 3))) (+ (* -1/6 (/ (- (* 1/2 (/ (sin (* 1/2 (PI))) y)) (* -1/6 (/ (- 1 (sin (* 1/2 (PI)))) y))) (pow y 2))) (* 1/120 (/ (- 1 (sin (* 1/2 (PI)))) (pow y 3))))))) (* -1/6 (/ (- 1 (sin (* 1/2 (PI)))) y)))))) (* y (- 1 (sin (* 1/2 (PI)))))) x)))
#s(approx (- 1 (sin (+ (/ (neg x) y) (/ (PI) 2)))) #s(hole binary64 (- 1 (sin (* 1/2 (PI))))))
#s(approx (- 1 (sin (+ (/ (neg x) y) (/ (PI) 2)))) #s(hole binary64 (- (+ 1 (/ (* x (cos (* 1/2 (PI)))) y)) (sin (* 1/2 (PI))))))
#s(approx (- 1 (sin (+ (/ (neg x) y) (/ (PI) 2)))) #s(hole binary64 (- (+ 1 (* x (- (* 1/2 (/ (* x (sin (* 1/2 (PI)))) (pow y 2))) (* -1 (/ (cos (* 1/2 (PI))) y))))) (sin (* 1/2 (PI))))))
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Calls

6 calls:

Time	Variable		Point	Expression
13.0ms	x	@	0	((/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/ 1 (cos (* -1/2 (/ x y)))) 1 (cos (* -1/2 (/ x y))) (* -1/2 (/ x y)) -1/2 (/ x y) x y (/ (tan (+ (PI) (/ x (* 2 y)))) (sin (/ x (* y 2)))) 0 (/ (tan (+ (PI) (/ x (* 2 y)))) (sin (/ x (+ y y)))) (tan (+ (PI) (/ x (* 2 y)))) (+ (PI) (/ x (* 2 y))) (PI) (/ x (* 2 y)) (* 2 y) 2 (sin (/ x (+ y y))) (/ x (+ y y)) (+ y y) (/ (- 1 (cos (/ x y))) (* (sin (/ x y)) (sin (/ x (* 2 y))))) (- 1 (cos (/ x y))) (cos (/ x y)) (* (sin (/ x y)) (sin (/ x (* 2 y)))) (sin (/ x y)) (sin (/ x (* 2 y))) (/ (/ (- 1 (sin (+ (/ (neg x) y) (/ (PI) 2)))) (sin (/ x y))) (sin (/ x (* y 2)))) (/ (- 1 (sin (+ (/ (neg x) y) (/ (PI) 2)))) (sin (/ x y))) (- 1 (sin (+ (/ (neg x) y) (/ (PI) 2)))) (sin (+ (/ (neg x) y) (/ (PI) 2))) (+ (/ (neg x) y) (/ (PI) 2)) (/ (neg x) y) (neg x) (/ (PI) 2) (sin (/ x (* y 2))) (/ x (* y 2)) (* y 2))
11.0ms	x	@	-inf	((/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/ 1 (cos (* -1/2 (/ x y)))) 1 (cos (* -1/2 (/ x y))) (* -1/2 (/ x y)) -1/2 (/ x y) x y (/ (tan (+ (PI) (/ x (* 2 y)))) (sin (/ x (* y 2)))) 0 (/ (tan (+ (PI) (/ x (* 2 y)))) (sin (/ x (+ y y)))) (tan (+ (PI) (/ x (* 2 y)))) (+ (PI) (/ x (* 2 y))) (PI) (/ x (* 2 y)) (* 2 y) 2 (sin (/ x (+ y y))) (/ x (+ y y)) (+ y y) (/ (- 1 (cos (/ x y))) (* (sin (/ x y)) (sin (/ x (* 2 y))))) (- 1 (cos (/ x y))) (cos (/ x y)) (* (sin (/ x y)) (sin (/ x (* 2 y)))) (sin (/ x y)) (sin (/ x (* 2 y))) (/ (/ (- 1 (sin (+ (/ (neg x) y) (/ (PI) 2)))) (sin (/ x y))) (sin (/ x (* y 2)))) (/ (- 1 (sin (+ (/ (neg x) y) (/ (PI) 2)))) (sin (/ x y))) (- 1 (sin (+ (/ (neg x) y) (/ (PI) 2)))) (sin (+ (/ (neg x) y) (/ (PI) 2))) (+ (/ (neg x) y) (/ (PI) 2)) (/ (neg x) y) (neg x) (/ (PI) 2) (sin (/ x (* y 2))) (/ x (* y 2)) (* y 2))
7.0ms	y	@	inf	((/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/ 1 (cos (* -1/2 (/ x y)))) 1 (cos (* -1/2 (/ x y))) (* -1/2 (/ x y)) -1/2 (/ x y) x y (/ (tan (+ (PI) (/ x (* 2 y)))) (sin (/ x (* y 2)))) 0 (/ (tan (+ (PI) (/ x (* 2 y)))) (sin (/ x (+ y y)))) (tan (+ (PI) (/ x (* 2 y)))) (+ (PI) (/ x (* 2 y))) (PI) (/ x (* 2 y)) (* 2 y) 2 (sin (/ x (+ y y))) (/ x (+ y y)) (+ y y) (/ (- 1 (cos (/ x y))) (* (sin (/ x y)) (sin (/ x (* 2 y))))) (- 1 (cos (/ x y))) (cos (/ x y)) (* (sin (/ x y)) (sin (/ x (* 2 y)))) (sin (/ x y)) (sin (/ x (* 2 y))) (/ (/ (- 1 (sin (+ (/ (neg x) y) (/ (PI) 2)))) (sin (/ x y))) (sin (/ x (* y 2)))) (/ (- 1 (sin (+ (/ (neg x) y) (/ (PI) 2)))) (sin (/ x y))) (- 1 (sin (+ (/ (neg x) y) (/ (PI) 2)))) (sin (+ (/ (neg x) y) (/ (PI) 2))) (+ (/ (neg x) y) (/ (PI) 2)) (/ (neg x) y) (neg x) (/ (PI) 2) (sin (/ x (* y 2))) (/ x (* y 2)) (* y 2))
5.0ms	y	@	-inf	((/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/ 1 (cos (* -1/2 (/ x y)))) 1 (cos (* -1/2 (/ x y))) (* -1/2 (/ x y)) -1/2 (/ x y) x y (/ (tan (+ (PI) (/ x (* 2 y)))) (sin (/ x (* y 2)))) 0 (/ (tan (+ (PI) (/ x (* 2 y)))) (sin (/ x (+ y y)))) (tan (+ (PI) (/ x (* 2 y)))) (+ (PI) (/ x (* 2 y))) (PI) (/ x (* 2 y)) (* 2 y) 2 (sin (/ x (+ y y))) (/ x (+ y y)) (+ y y) (/ (- 1 (cos (/ x y))) (* (sin (/ x y)) (sin (/ x (* 2 y))))) (- 1 (cos (/ x y))) (cos (/ x y)) (* (sin (/ x y)) (sin (/ x (* 2 y)))) (sin (/ x y)) (sin (/ x (* 2 y))) (/ (/ (- 1 (sin (+ (/ (neg x) y) (/ (PI) 2)))) (sin (/ x y))) (sin (/ x (* y 2)))) (/ (- 1 (sin (+ (/ (neg x) y) (/ (PI) 2)))) (sin (/ x y))) (- 1 (sin (+ (/ (neg x) y) (/ (PI) 2)))) (sin (+ (/ (neg x) y) (/ (PI) 2))) (+ (/ (neg x) y) (/ (PI) 2)) (/ (neg x) y) (neg x) (/ (PI) 2) (sin (/ x (* y 2))) (/ x (* y 2)) (* y 2))
5.0ms	x	@	inf	((/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/ 1 (cos (* -1/2 (/ x y)))) 1 (cos (* -1/2 (/ x y))) (* -1/2 (/ x y)) -1/2 (/ x y) x y (/ (tan (+ (PI) (/ x (* 2 y)))) (sin (/ x (* y 2)))) 0 (/ (tan (+ (PI) (/ x (* 2 y)))) (sin (/ x (+ y y)))) (tan (+ (PI) (/ x (* 2 y)))) (+ (PI) (/ x (* 2 y))) (PI) (/ x (* 2 y)) (* 2 y) 2 (sin (/ x (+ y y))) (/ x (+ y y)) (+ y y) (/ (- 1 (cos (/ x y))) (* (sin (/ x y)) (sin (/ x (* 2 y))))) (- 1 (cos (/ x y))) (cos (/ x y)) (* (sin (/ x y)) (sin (/ x (* 2 y)))) (sin (/ x y)) (sin (/ x (* 2 y))) (/ (/ (- 1 (sin (+ (/ (neg x) y) (/ (PI) 2)))) (sin (/ x y))) (sin (/ x (* y 2)))) (/ (- 1 (sin (+ (/ (neg x) y) (/ (PI) 2)))) (sin (/ x y))) (- 1 (sin (+ (/ (neg x) y) (/ (PI) 2)))) (sin (+ (/ (neg x) y) (/ (PI) 2))) (+ (/ (neg x) y) (/ (PI) 2)) (/ (neg x) y) (neg x) (/ (PI) 2) (sin (/ x (* y 2))) (/ x (* y 2)) (* y 2))

simplify197.0ms (3.8%)

Memory

33.1MiB live, 311.2MiB allocated; 46ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1302	8340
1	4088	8064
0	8268	7707

Stop Event

1×	iter limit
1×	node limit

Counts

203 → 203

Calls

Call 1

Inputs
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(hole binary64 1))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(hole binary64 (+ 1 (* 1/8 (/ (pow x 2) (pow y 2))))))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(hole binary64 (+ 1 (* (pow x 2) (+ (* 5/384 (/ (pow x 2) (pow y 4))) (* 1/8 (/ 1 (pow y 2))))))))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(hole 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))))))))
#s(approx (/ 1 (cos (* -1/2 (/ x y)))) #s(hole binary64 1))
#s(approx (/ 1 (cos (* -1/2 (/ x y)))) #s(hole binary64 (+ 1 (* 1/8 (/ (pow x 2) (pow y 2))))))
#s(approx (/ 1 (cos (* -1/2 (/ x y)))) #s(hole binary64 (+ 1 (* (pow x 2) (+ (* 5/384 (/ (pow x 2) (pow y 4))) (* 1/8 (/ 1 (pow y 2))))))))
#s(approx (/ 1 (cos (* -1/2 (/ x y)))) #s(hole 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))))))))
#s(approx (cos (* -1/2 (/ x y))) #s(hole binary64 1))
#s(approx (cos (* -1/2 (/ x y))) #s(hole binary64 (+ 1 (* -1/8 (/ (pow x 2) (pow y 2))))))
#s(approx (cos (* -1/2 (/ x y))) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 1/384 (/ (pow x 2) (pow y 4))) (* 1/8 (/ 1 (pow y 2))))))))
#s(approx (cos (* -1/2 (/ x y))) #s(hole 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))))))))
#s(approx (* -1/2 (/ x y)) #s(hole binary64 (* -1/2 (/ x y))))
#s(approx (/ x y) #s(hole binary64 (/ x y)))
#s(approx x #s(hole binary64 x))
#s(approx (/ (tan (+ (PI) (/ x (* 2 y)))) (sin (/ x (* y 2)))) #s(hole binary64 (* 2 (/ (* y (sin (PI))) (* x (cos (PI)))))))
#s(approx (/ (tan (+ (PI) (/ x (* 2 y)))) (sin (/ x (* y 2)))) #s(hole binary64 (/ (+ (* 2 (* x (* y (- (* 1/2 (/ 1 y)) (* -1/2 (/ (pow (sin (PI)) 2) (* y (pow (cos (PI)) 2)))))))) (* 2 (/ (* y (sin (PI))) (cos (PI))))) x)))
#s(approx (/ (tan (+ (PI) (/ x (* 2 y)))) (sin (/ x (* y 2)))) #s(hole binary64 (/ (+ (* 2 (/ (* y (sin (PI))) (cos (PI)))) (* x (+ (* 2 (* y (- (* 1/2 (/ 1 y)) (* -1/2 (/ (pow (sin (PI)) 2) (* y (pow (cos (PI)) 2))))))) (* x (- (/ (* (sin (PI)) (- (* 1/2 (/ 1 y)) (* -1/2 (/ (pow (sin (PI)) 2) (* y (pow (cos (PI)) 2)))))) (cos (PI))) (* -1/12 (/ (sin (PI)) (* y (cos (PI)))))))))) x)))
#s(approx (/ (tan (+ (PI) (/ x (* 2 y)))) (sin (/ x (* y 2)))) #s(hole binary64 (/ (+ (* 2 (/ (* y (sin (PI))) (cos (PI)))) (* x (+ (* 2 (* y (- (* 1/2 (/ 1 y)) (* -1/2 (/ (pow (sin (PI)) 2) (* y (pow (cos (PI)) 2))))))) (* x (- (+ (* x (- (* -2 (* y (+ (* -1/4 (/ (* (pow (sin (PI)) 2) (- (* 1/2 (/ 1 y)) (* -1/2 (/ (pow (sin (PI)) 2) (* y (pow (cos (PI)) 2)))))) (* (pow y 2) (pow (cos (PI)) 2)))) (+ (* -1/8 (/ (- (* 1/2 (/ 1 y)) (* -1/2 (/ (pow (sin (PI)) 2) (* y (pow (cos (PI)) 2))))) (pow y 2))) (+ (* 1/48 (/ 1 (pow y 3))) (* 1/48 (/ (pow (sin (PI)) 2) (* (pow y 3) (pow (cos (PI)) 2))))))))) (* -1/12 (/ (- (* 1/2 (/ 1 y)) (* -1/2 (/ (pow (sin (PI)) 2) (* y (pow (cos (PI)) 2))))) y)))) (/ (* (sin (PI)) (- (* 1/2 (/ 1 y)) (* -1/2 (/ (pow (sin (PI)) 2) (* y (pow (cos (PI)) 2)))))) (cos (PI)))) (* -1/12 (/ (sin (PI)) (* y (cos (PI)))))))))) x)))
#s(approx (/ (tan (+ (PI) (/ x (* 2 y)))) (sin (/ x (+ y y)))) #s(hole binary64 (* 2 (/ (* y (sin (PI))) (* x (cos (PI)))))))
#s(approx (/ (tan (+ (PI) (/ x (* 2 y)))) (sin (/ x (+ y y)))) #s(hole binary64 (/ (+ (* 2 (* x (* y (- (* 1/2 (/ 1 y)) (* -1/2 (/ (pow (sin (PI)) 2) (* y (pow (cos (PI)) 2)))))))) (* 2 (/ (* y (sin (PI))) (cos (PI))))) x)))
#s(approx (/ (tan (+ (PI) (/ x (* 2 y)))) (sin (/ x (+ y y)))) #s(hole binary64 (/ (+ (* 2 (/ (* y (sin (PI))) (cos (PI)))) (* x (+ (* 2 (* y (- (* 1/2 (/ 1 y)) (* -1/2 (/ (pow (sin (PI)) 2) (* y (pow (cos (PI)) 2))))))) (* x (- (/ (* (sin (PI)) (- (* 1/2 (/ 1 y)) (* -1/2 (/ (pow (sin (PI)) 2) (* y (pow (cos (PI)) 2)))))) (cos (PI))) (* -1/12 (/ (sin (PI)) (* y (cos (PI)))))))))) x)))
#s(approx (/ (tan (+ (PI) (/ x (* 2 y)))) (sin (/ x (+ y y)))) #s(hole binary64 (/ (+ (* 2 (/ (* y (sin (PI))) (cos (PI)))) (* x (+ (* 2 (* y (- (* 1/2 (/ 1 y)) (* -1/2 (/ (pow (sin (PI)) 2) (* y (pow (cos (PI)) 2))))))) (* x (- (+ (* x (- (* -2 (* y (+ (* -1/4 (/ (* (pow (sin (PI)) 2) (- (* 1/2 (/ 1 y)) (* -1/2 (/ (pow (sin (PI)) 2) (* y (pow (cos (PI)) 2)))))) (* (pow y 2) (pow (cos (PI)) 2)))) (+ (* -1/8 (/ (- (* 1/2 (/ 1 y)) (* -1/2 (/ (pow (sin (PI)) 2) (* y (pow (cos (PI)) 2))))) (pow y 2))) (+ (* 1/48 (/ 1 (pow y 3))) (* 1/48 (/ (pow (sin (PI)) 2) (* (pow y 3) (pow (cos (PI)) 2))))))))) (* -1/12 (/ (- (* 1/2 (/ 1 y)) (* -1/2 (/ (pow (sin (PI)) 2) (* y (pow (cos (PI)) 2))))) y)))) (/ (* (sin (PI)) (- (* 1/2 (/ 1 y)) (* -1/2 (/ (pow (sin (PI)) 2) (* y (pow (cos (PI)) 2)))))) (cos (PI)))) (* -1/12 (/ (sin (PI)) (* y (cos (PI)))))))))) x)))
#s(approx (tan (+ (PI) (/ x (* 2 y)))) #s(hole binary64 (/ (sin (PI)) (cos (PI)))))
#s(approx (tan (+ (PI) (/ x (* 2 y)))) #s(hole binary64 (+ (* x (- (* 1/2 (/ 1 y)) (* -1/2 (/ (pow (sin (PI)) 2) (* y (pow (cos (PI)) 2)))))) (/ (sin (PI)) (cos (PI))))))
#s(approx (tan (+ (PI) (/ x (* 2 y)))) #s(hole binary64 (+ (* x (- (+ (* 1/2 (/ 1 y)) (* 1/2 (/ (* x (* (sin (PI)) (- (* 1/2 (/ 1 y)) (* -1/2 (/ (pow (sin (PI)) 2) (* y (pow (cos (PI)) 2))))))) (* y (cos (PI)))))) (* -1/2 (/ (pow (sin (PI)) 2) (* y (pow (cos (PI)) 2)))))) (/ (sin (PI)) (cos (PI))))))
#s(approx (tan (+ (PI) (/ x (* 2 y)))) #s(hole binary64 (+ (* x (- (+ (* 1/2 (/ 1 y)) (* x (- (* -1 (* x (+ (* -1/4 (/ (* (pow (sin (PI)) 2) (- (* 1/2 (/ 1 y)) (* -1/2 (/ (pow (sin (PI)) 2) (* y (pow (cos (PI)) 2)))))) (* (pow y 2) (pow (cos (PI)) 2)))) (+ (* -1/8 (/ (- (* 1/2 (/ 1 y)) (* -1/2 (/ (pow (sin (PI)) 2) (* y (pow (cos (PI)) 2))))) (pow y 2))) (+ (* 1/48 (/ 1 (pow y 3))) (* 1/48 (/ (pow (sin (PI)) 2) (* (pow y 3) (pow (cos (PI)) 2))))))))) (* -1/2 (/ (* (sin (PI)) (- (* 1/2 (/ 1 y)) (* -1/2 (/ (pow (sin (PI)) 2) (* y (pow (cos (PI)) 2)))))) (* y (cos (PI)))))))) (* -1/2 (/ (pow (sin (PI)) 2) (* y (pow (cos (PI)) 2)))))) (/ (sin (PI)) (cos (PI))))))
#s(approx (+ (PI) (/ x (* 2 y))) #s(hole binary64 (PI)))
#s(approx (+ (PI) (/ x (* 2 y))) #s(hole binary64 (+ (PI) (* 1/2 (/ x y)))))
#s(approx (/ x (* 2 y)) #s(hole binary64 (* 1/2 (/ x y))))
#s(approx (sin (/ x (+ y y))) #s(hole binary64 (* 1/2 (/ x y))))
#s(approx (sin (/ x (+ y y))) #s(hole binary64 (* x (+ (* -1/48 (/ (pow x 2) (pow y 3))) (* 1/2 (/ 1 y))))))
#s(approx (sin (/ x (+ y y))) #s(hole binary64 (* x (+ (* (pow x 2) (- (* 1/3840 (/ (pow x 2) (pow y 5))) (* 1/48 (/ 1 (pow y 3))))) (* 1/2 (/ 1 y))))))
#s(approx (sin (/ x (+ y y))) #s(hole binary64 (* 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))))))
#s(approx (/ x (+ y y)) #s(hole binary64 (* 1/2 (/ x y))))
#s(approx (/ (- 1 (cos (/ x y))) (* (sin (/ x y)) (sin (/ x (* 2 y))))) #s(hole binary64 1))
#s(approx (/ (- 1 (cos (/ x y))) (* (sin (/ x y)) (sin (/ x (* 2 y))))) #s(hole binary64 (+ 1 (* 1/8 (/ (pow x 2) (pow y 2))))))
#s(approx (/ (- 1 (cos (/ x y))) (* (sin (/ x y)) (sin (/ x (* 2 y))))) #s(hole binary64 (+ 1 (* (pow x 2) (+ (* 5/384 (/ (pow x 2) (pow y 4))) (* 1/8 (/ 1 (pow y 2))))))))
#s(approx (/ (- 1 (cos (/ x y))) (* (sin (/ x y)) (sin (/ x (* 2 y))))) #s(hole binary64 (+ 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))))))))
#s(approx (- 1 (cos (/ x y))) #s(hole binary64 (* 1/2 (/ (pow x 2) (pow y 2)))))
#s(approx (- 1 (cos (/ x y))) #s(hole binary64 (* (pow x 2) (+ (* -1/24 (/ (pow x 2) (pow y 4))) (* 1/2 (/ 1 (pow y 2)))))))
#s(approx (- 1 (cos (/ x y))) #s(hole binary64 (* (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)))))))
#s(approx (- 1 (cos (/ x y))) #s(hole binary64 (* (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)))))))
#s(approx (cos (/ x y)) #s(hole binary64 1))
#s(approx (cos (/ x y)) #s(hole binary64 (+ 1 (* -1/2 (/ (pow x 2) (pow y 2))))))
#s(approx (cos (/ x y)) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 1/24 (/ (pow x 2) (pow y 4))) (* 1/2 (/ 1 (pow y 2))))))))
#s(approx (cos (/ x y)) #s(hole binary64 (+ 1 (* (pow x 2) (- (* (pow x 2) (+ (* -1/720 (/ (pow x 2) (pow y 6))) (* 1/24 (/ 1 (pow y 4))))) (* 1/2 (/ 1 (pow y 2))))))))
#s(approx (* (sin (/ x y)) (sin (/ x (* 2 y)))) #s(hole binary64 (* 1/2 (/ (pow x 2) (pow y 2)))))
#s(approx (* (sin (/ x y)) (sin (/ x (* 2 y)))) #s(hole binary64 (* (pow x 2) (+ (* -5/48 (/ (pow x 2) (pow y 4))) (* 1/2 (/ 1 (pow y 2)))))))
#s(approx (* (sin (/ x y)) (sin (/ x (* 2 y)))) #s(hole binary64 (* (pow x 2) (+ (* (pow x 2) (- (* 91/11520 (/ (pow x 2) (pow y 6))) (* 5/48 (/ 1 (pow y 4))))) (* 1/2 (/ 1 (pow y 2)))))))
#s(approx (* (sin (/ x y)) (sin (/ x (* 2 y)))) #s(hole binary64 (* (pow x 2) (+ (* (pow x 2) (- (* (pow x 2) (+ (* -1 (* (pow x 2) (+ (* 1/645120 (/ 1 (pow y 8))) (* 17/53760 (/ 1 (pow y 8)))))) (* 91/11520 (/ 1 (pow y 6))))) (* 5/48 (/ 1 (pow y 4))))) (* 1/2 (/ 1 (pow y 2)))))))
#s(approx (sin (/ x y)) #s(hole binary64 (/ x y)))
#s(approx (sin (/ x y)) #s(hole binary64 (* x (+ (* -1/6 (/ (pow x 2) (pow y 3))) (/ 1 y)))))
#s(approx (sin (/ x y)) #s(hole binary64 (* x (+ (* (pow x 2) (- (* 1/120 (/ (pow x 2) (pow y 5))) (* 1/6 (/ 1 (pow y 3))))) (/ 1 y)))))
#s(approx (sin (/ x y)) #s(hole binary64 (* 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)))))
#s(approx (sin (/ x (* 2 y))) #s(hole binary64 (* 1/2 (/ x y))))
#s(approx (sin (/ x (* 2 y))) #s(hole binary64 (* x (+ (* -1/48 (/ (pow x 2) (pow y 3))) (* 1/2 (/ 1 y))))))
#s(approx (sin (/ x (* 2 y))) #s(hole binary64 (* x (+ (* (pow x 2) (- (* 1/3840 (/ (pow x 2) (pow y 5))) (* 1/48 (/ 1 (pow y 3))))) (* 1/2 (/ 1 y))))))
#s(approx (sin (/ x (* 2 y))) #s(hole binary64 (* 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))))))
#s(approx (/ (/ (- 1 (sin (+ (/ (neg x) y) (/ (PI) 2)))) (sin (/ x y))) (sin (/ x (* y 2)))) #s(hole binary64 (* 2 (/ (* (pow y 2) (- 1 (sin (* 1/2 (PI))))) (pow x 2)))))
#s(approx (/ (/ (- 1 (sin (+ (/ (neg x) y) (/ (PI) 2)))) (sin (/ x y))) (sin (/ x (* y 2)))) #s(hole binary64 (/ (+ (* 2 (* x (* y (cos (* 1/2 (PI)))))) (* 2 (* (pow y 2) (- 1 (sin (* 1/2 (PI))))))) (pow x 2))))
#s(approx (/ (/ (- 1 (sin (+ (/ (neg x) y) (/ (PI) 2)))) (sin (/ x y))) (sin (/ x (* y 2)))) #s(hole binary64 (/ (+ (* 2 (* (pow y 2) (- 1 (sin (* 1/2 (PI)))))) (* x (+ (* 2 (* y (cos (* 1/2 (PI))))) (* x (- (sin (* 1/2 (PI))) (* -5/12 (- 1 (sin (* 1/2 (PI)))))))))) (pow x 2))))
#s(approx (/ (/ (- 1 (sin (+ (/ (neg x) y) (/ (PI) 2)))) (sin (/ x y))) (sin (/ x (* y 2)))) #s(hole binary64 (/ (+ (* 2 (* (pow y 2) (- 1 (sin (* 1/2 (PI)))))) (* x (+ (* 2 (* y (cos (* 1/2 (PI))))) (* x (- (+ (sin (* 1/2 (PI))) (* x (- (* -1/3 (/ (cos (* 1/2 (PI))) y)) (* -5/12 (/ (cos (* 1/2 (PI))) y))))) (* -5/12 (- 1 (sin (* 1/2 (PI)))))))))) (pow x 2))))
#s(approx (/ (- 1 (sin (+ (/ (neg x) y) (/ (PI) 2)))) (sin (/ x y))) #s(hole binary64 (/ (* y (- 1 (sin (* 1/2 (PI))))) x)))
#s(approx (/ (- 1 (sin (+ (/ (neg x) y) (/ (PI) 2)))) (sin (/ x y))) #s(hole binary64 (/ (+ (* x (cos (* 1/2 (PI)))) (* y (- 1 (sin (* 1/2 (PI)))))) x)))
#s(approx (/ (- 1 (sin (+ (/ (neg x) y) (/ (PI) 2)))) (sin (/ x y))) #s(hole binary64 (/ (+ (* x (+ (cos (* 1/2 (PI))) (* x (- (* 1/2 (/ (sin (* 1/2 (PI))) y)) (* -1/6 (/ (- 1 (sin (* 1/2 (PI)))) y)))))) (* y (- 1 (sin (* 1/2 (PI)))))) x)))
#s(approx (/ (- 1 (sin (+ (/ (neg x) y) (/ (PI) 2)))) (sin (/ x y))) #s(hole binary64 (/ (+ (* x (+ (cos (* 1/2 (PI))) (* x (- (+ (* 1/2 (/ (sin (* 1/2 (PI))) y)) (* (pow x 2) (- (* -1/24 (/ (sin (* 1/2 (PI))) (pow y 3))) (+ (* -1/6 (/ (- (* 1/2 (/ (sin (* 1/2 (PI))) y)) (* -1/6 (/ (- 1 (sin (* 1/2 (PI)))) y))) (pow y 2))) (* 1/120 (/ (- 1 (sin (* 1/2 (PI)))) (pow y 3))))))) (* -1/6 (/ (- 1 (sin (* 1/2 (PI)))) y)))))) (* y (- 1 (sin (* 1/2 (PI)))))) x)))
#s(approx (- 1 (sin (+ (/ (neg x) y) (/ (PI) 2)))) #s(hole binary64 (- 1 (sin (* 1/2 (PI))))))
#s(approx (- 1 (sin (+ (/ (neg x) y) (/ (PI) 2)))) #s(hole binary64 (- (+ 1 (/ (* x (cos (* 1/2 (PI)))) y)) (sin (* 1/2 (PI))))))
#s(approx (- 1 (sin (+ (/ (neg x) y) (/ (PI) 2)))) #s(hole binary64 (- (+ 1 (* x (- (* 1/2 (/ (* x (sin (* 1/2 (PI)))) (pow y 2))) (* -1 (/ (cos (* 1/2 (PI))) y))))) (sin (* 1/2 (PI))))))
#s(approx (- 1 (sin (+ (/ (neg x) y) (/ (PI) 2)))) #s(hole binary64 (- (+ 1 (* x (- (* x (- (* -1/6 (/ (* x (cos (* 1/2 (PI)))) (pow y 3))) (* -1/2 (/ (sin (* 1/2 (PI))) (pow y 2))))) (* -1 (/ (cos (* 1/2 (PI))) y))))) (sin (* 1/2 (PI))))))
#s(approx (sin (+ (/ (neg x) y) (/ (PI) 2))) #s(hole binary64 (sin (* 1/2 (PI)))))
#s(approx (sin (+ (/ (neg x) y) (/ (PI) 2))) #s(hole binary64 (+ (sin (* 1/2 (PI))) (* -1 (/ (* x (cos (* 1/2 (PI)))) y)))))
#s(approx (sin (+ (/ (neg x) y) (/ (PI) 2))) #s(hole binary64 (+ (sin (* 1/2 (PI))) (* x (+ (* -1 (/ (cos (* 1/2 (PI))) y)) (* -1/2 (/ (* x (sin (* 1/2 (PI)))) (pow y 2))))))))
#s(approx (sin (+ (/ (neg x) y) (/ (PI) 2))) #s(hole binary64 (+ (sin (* 1/2 (PI))) (* x (+ (* -1 (/ (cos (* 1/2 (PI))) y)) (* x (+ (* -1/2 (/ (sin (* 1/2 (PI))) (pow y 2))) (* 1/6 (/ (* x (cos (* 1/2 (PI)))) (pow y 3))))))))))
#s(approx (+ (/ (neg x) y) (/ (PI) 2)) #s(hole binary64 (* 1/2 (PI))))
#s(approx (+ (/ (neg x) y) (/ (PI) 2)) #s(hole binary64 (+ (* -1 (/ x y)) (* 1/2 (PI)))))
#s(approx (/ (neg x) y) #s(hole binary64 (* -1 (/ x y))))
#s(approx (neg x) #s(hole binary64 (* -1 x)))
#s(approx (sin (/ x (* y 2))) #s(hole binary64 (* 1/2 (/ x y))))
#s(approx (sin (/ x (* y 2))) #s(hole binary64 (* x (+ (* -1/48 (/ (pow x 2) (pow y 3))) (* 1/2 (/ 1 y))))))
#s(approx (sin (/ x (* y 2))) #s(hole binary64 (* x (+ (* (pow x 2) (- (* 1/3840 (/ (pow x 2) (pow y 5))) (* 1/48 (/ 1 (pow y 3))))) (* 1/2 (/ 1 y))))))
#s(approx (sin (/ x (* y 2))) #s(hole binary64 (* 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))))))
#s(approx (/ x (* y 2)) #s(hole binary64 (* 1/2 (/ x y))))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(hole binary64 (/ 1 (cos (* 1/2 (/ x y))))))
#s(approx (/ 1 (cos (* -1/2 (/ x y)))) #s(hole binary64 (/ 1 (cos (* -1/2 (/ x y))))))
#s(approx (cos (* -1/2 (/ x y))) #s(hole binary64 (cos (* -1/2 (/ x y)))))
#s(approx (/ (tan (+ (PI) (/ x (* 2 y)))) (sin (/ x (* y 2)))) #s(hole binary64 (/ (sin (+ (PI) (* 1/2 (/ x y)))) (* (cos (+ (PI) (* 1/2 (/ x y)))) (sin (* 1/2 (/ x y)))))))
#s(approx (/ (tan (+ (PI) (/ x (* 2 y)))) (sin (/ x (+ y y)))) #s(hole binary64 (/ (sin (+ (PI) (* 1/2 (/ x y)))) (* (cos (+ (PI) (* 1/2 (/ x y)))) (sin (* 1/2 (/ x y)))))))
#s(approx (tan (+ (PI) (/ x (* 2 y)))) #s(hole binary64 (/ (sin (+ (PI) (* 1/2 (/ x y)))) (cos (+ (PI) (* 1/2 (/ x y)))))))
#s(approx (+ (PI) (/ x (* 2 y))) #s(hole binary64 (* 1/2 (/ x y))))
#s(approx (+ (PI) (/ x (* 2 y))) #s(hole binary64 (* x (+ (* 1/2 (/ 1 y)) (/ (PI) x)))))
#s(approx (sin (/ x (+ y y))) #s(hole binary64 (sin (* 1/2 (/ x y)))))
#s(approx (/ (- 1 (cos (/ x y))) (* (sin (/ x y)) (sin (/ x (* 2 y))))) #s(hole binary64 (/ (- 1 (cos (/ x y))) (* (sin (* 1/2 (/ x y))) (sin (/ x y))))))
#s(approx (- 1 (cos (/ x y))) #s(hole binary64 (- 1 (cos (/ x y)))))
#s(approx (cos (/ x y)) #s(hole binary64 (cos (/ x y))))
#s(approx (* (sin (/ x y)) (sin (/ x (* 2 y)))) #s(hole binary64 (* (sin (* 1/2 (/ x y))) (sin (/ x y)))))
#s(approx (sin (/ x y)) #s(hole binary64 (sin (/ x y))))
#s(approx (sin (/ x (* 2 y))) #s(hole binary64 (sin (* 1/2 (/ x y)))))
#s(approx (/ (/ (- 1 (sin (+ (/ (neg x) y) (/ (PI) 2)))) (sin (/ x y))) (sin (/ x (* y 2)))) #s(hole binary64 (/ (- 1 (sin (- (* 1/2 (PI)) (/ x y)))) (* (sin (* 1/2 (/ x y))) (sin (/ x y))))))
#s(approx (/ (- 1 (sin (+ (/ (neg x) y) (/ (PI) 2)))) (sin (/ x y))) #s(hole binary64 (/ (- 1 (sin (- (* 1/2 (PI)) (/ x y)))) (sin (/ x y)))))
#s(approx (- 1 (sin (+ (/ (neg x) y) (/ (PI) 2)))) #s(hole binary64 (- 1 (sin (- (* 1/2 (PI)) (/ x y))))))
#s(approx (sin (+ (/ (neg x) y) (/ (PI) 2))) #s(hole binary64 (sin (- (* 1/2 (PI)) (/ x y)))))
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#s(approx (sin (/ x (* y 2))) #s(hole binary64 (sin (* 1/2 (/ x y)))))
#s(approx (/ (tan (+ (PI) (/ x (* 2 y)))) (sin (/ x (* y 2)))) #s(hole binary64 (/ (sin (- (PI) (* -1/2 (/ x y)))) (* (cos (- (PI) (* -1/2 (/ x y)))) (sin (* 1/2 (/ x y)))))))
#s(approx (/ (tan (+ (PI) (/ x (* 2 y)))) (sin (/ x (+ y y)))) #s(hole binary64 (/ (sin (- (PI) (* -1/2 (/ x y)))) (* (cos (- (PI) (* -1/2 (/ x y)))) (sin (* 1/2 (/ x y)))))))
#s(approx (tan (+ (PI) (/ x (* 2 y)))) #s(hole binary64 (/ (sin (- (PI) (* -1/2 (/ x y)))) (cos (- (PI) (* -1/2 (/ x y)))))))
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#s(approx (/ (/ (- 1 (sin (+ (/ (neg x) y) (/ (PI) 2)))) (sin (/ x y))) (sin (/ x (* y 2)))) #s(hole binary64 (/ (- 1 (sin (+ (* -1 (/ x y)) (* 1/2 (PI))))) (* (sin (* 1/2 (/ x y))) (sin (/ x y))))))
#s(approx (/ (- 1 (sin (+ (/ (neg x) y) (/ (PI) 2)))) (sin (/ x y))) #s(hole binary64 (/ (- 1 (sin (+ (* -1 (/ x y)) (* 1/2 (PI))))) (sin (/ x y)))))
#s(approx (- 1 (sin (+ (/ (neg x) y) (/ (PI) 2)))) #s(hole binary64 (- 1 (sin (+ (* -1 (/ x y)) (* 1/2 (PI)))))))
#s(approx (sin (+ (/ (neg x) y) (/ (PI) 2))) #s(hole binary64 (sin (+ (* -1 (/ x y)) (* 1/2 (PI))))))
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#s(approx y #s(hole binary64 y))
#s(approx (+ (PI) (/ x (* 2 y))) #s(hole binary64 (/ (+ (* 1/2 x) (* y (PI))) y)))
#s(approx (* 2 y) #s(hole binary64 (* 2 y)))
#s(approx (+ y y) #s(hole binary64 (* 2 y)))
#s(approx (+ (/ (neg x) y) (/ (PI) 2)) #s(hole binary64 (/ (+ (* -1 x) (* 1/2 (* y (PI)))) y)))
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#s(approx (/ (tan (+ (PI) (/ x (* 2 y)))) (sin (/ x (* y 2)))) #s(hole binary64 (* -1 (* y (+ (* -2 (/ (sin (PI)) (* x (cos (PI))))) (* -1 (/ (+ (* -2 (/ (- (* -1/2 x) (* 1/2 (/ (* x (pow (sin (PI)) 2)) (pow (cos (PI)) 2)))) x)) (* -1 (/ (- (+ (* -1 (/ (- (* -2 (/ (- (* 1/48 (pow x 3)) (+ (* -1/4 (/ (* (pow x 2) (* (pow (sin (PI)) 2) (- (* -1/2 x) (* 1/2 (/ (* x (pow (sin (PI)) 2)) (pow (cos (PI)) 2)))))) (pow (cos (PI)) 2))) (+ (* -1/8 (* (pow x 2) (- (* -1/2 x) (* 1/2 (/ (* x (pow (sin (PI)) 2)) (pow (cos (PI)) 2)))))) (* -1/48 (/ (* (pow x 3) (pow (sin (PI)) 2)) (pow (cos (PI)) 2)))))) x)) (* 1/12 (* x (- (* -1/2 x) (* 1/2 (/ (* x (pow (sin (PI)) 2)) (pow (cos (PI)) 2))))))) y)) (/ (* (sin (PI)) (- (* -1/2 x) (* 1/2 (/ (* x (pow (sin (PI)) 2)) (pow (cos (PI)) 2))))) (cos (PI)))) (* 1/12 (/ (* x (sin (PI))) (cos (PI))))) y))) y)))))))
#s(approx (/ (tan (+ (PI) (/ x (* 2 y)))) (sin (/ x (+ y y)))) #s(hole binary64 (* -1 (* y (+ (* -2 (/ (sin (PI)) (* x (cos (PI))))) (* 2 (/ (- (* -1/2 x) (* 1/2 (/ (* x (pow (sin (PI)) 2)) (pow (cos (PI)) 2)))) (* x y))))))))
#s(approx (/ (tan (+ (PI) (/ x (* 2 y)))) (sin (/ x (+ y y)))) #s(hole binary64 (* -1 (* y (+ (* -2 (/ (sin (PI)) (* x (cos (PI))))) (* -1 (/ (+ (* -2 (/ (- (* -1/2 x) (* 1/2 (/ (* x (pow (sin (PI)) 2)) (pow (cos (PI)) 2)))) x)) (* -1 (/ (- (/ (* (sin (PI)) (- (* -1/2 x) (* 1/2 (/ (* x (pow (sin (PI)) 2)) (pow (cos (PI)) 2))))) (cos (PI))) (* 1/12 (/ (* x (sin (PI))) (cos (PI))))) y))) y)))))))
#s(approx (/ (tan (+ (PI) (/ x (* 2 y)))) (sin (/ x (+ y y)))) #s(hole binary64 (* -1 (* y (+ (* -2 (/ (sin (PI)) (* x (cos (PI))))) (* -1 (/ (+ (* -2 (/ (- (* -1/2 x) (* 1/2 (/ (* x (pow (sin (PI)) 2)) (pow (cos (PI)) 2)))) x)) (* -1 (/ (- (+ (* -1 (/ (- (* -2 (/ (- (* 1/48 (pow x 3)) (+ (* -1/4 (/ (* (pow x 2) (* (pow (sin (PI)) 2) (- (* -1/2 x) (* 1/2 (/ (* x (pow (sin (PI)) 2)) (pow (cos (PI)) 2)))))) (pow (cos (PI)) 2))) (+ (* -1/8 (* (pow x 2) (- (* -1/2 x) (* 1/2 (/ (* x (pow (sin (PI)) 2)) (pow (cos (PI)) 2)))))) (* -1/48 (/ (* (pow x 3) (pow (sin (PI)) 2)) (pow (cos (PI)) 2)))))) x)) (* 1/12 (* x (- (* -1/2 x) (* 1/2 (/ (* x (pow (sin (PI)) 2)) (pow (cos (PI)) 2))))))) y)) (/ (* (sin (PI)) (- (* -1/2 x) (* 1/2 (/ (* x (pow (sin (PI)) 2)) (pow (cos (PI)) 2))))) (cos (PI)))) (* 1/12 (/ (* x (sin (PI))) (cos (PI))))) y))) y)))))))
#s(approx (tan (+ (PI) (/ x (* 2 y)))) #s(hole binary64 (+ (* -1 (/ (- (* -1/2 x) (* 1/2 (/ (* x (pow (sin (PI)) 2)) (pow (cos (PI)) 2)))) y)) (/ (sin (PI)) (cos (PI))))))
#s(approx (tan (+ (PI) (/ x (* 2 y)))) #s(hole binary64 (+ (* -1 (/ (- (+ (* -1/2 x) (* 1/2 (/ (* x (* (sin (PI)) (- (* -1/2 x) (* 1/2 (/ (* x (pow (sin (PI)) 2)) (pow (cos (PI)) 2)))))) (* y (cos (PI)))))) (* 1/2 (/ (* x (pow (sin (PI)) 2)) (pow (cos (PI)) 2)))) y)) (/ (sin (PI)) (cos (PI))))))
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#s(approx (sin (/ x (+ y y))) #s(hole binary64 (* -1 (/ (+ (* -1/2 x) (* 1/48 (/ (pow x 3) (pow y 2)))) y))))
#s(approx (sin (/ x (+ y y))) #s(hole binary64 (* -1 (/ (+ (* -1/2 x) (+ (* -1/3840 (/ (pow x 5) (pow y 4))) (* 1/48 (/ (pow x 3) (pow y 2))))) y))))
#s(approx (sin (/ x (+ y y))) #s(hole binary64 (* -1 (/ (+ (* -1/2 x) (+ (* -1/3840 (/ (pow x 5) (pow y 4))) (+ (* 1/645120 (/ (pow x 7) (pow y 6))) (* 1/48 (/ (pow x 3) (pow y 2)))))) y))))
#s(approx (sin (/ x y)) #s(hole binary64 (* -1 (/ (+ (* -1 x) (* 1/6 (/ (pow x 3) (pow y 2)))) y))))
#s(approx (sin (/ x y)) #s(hole binary64 (* -1 (/ (+ (* -1 x) (+ (* -1/120 (/ (pow x 5) (pow y 4))) (* 1/6 (/ (pow x 3) (pow y 2))))) y))))
#s(approx (sin (/ x y)) #s(hole binary64 (* -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))))
#s(approx (sin (/ x (* 2 y))) #s(hole binary64 (* -1 (/ (+ (* -1/2 x) (* 1/48 (/ (pow x 3) (pow y 2)))) y))))
#s(approx (sin (/ x (* 2 y))) #s(hole binary64 (* -1 (/ (+ (* -1/2 x) (+ (* -1/3840 (/ (pow x 5) (pow y 4))) (* 1/48 (/ (pow x 3) (pow y 2))))) y))))
#s(approx (sin (/ x (* 2 y))) #s(hole binary64 (* -1 (/ (+ (* -1/2 x) (+ (* -1/3840 (/ (pow x 5) (pow y 4))) (+ (* 1/645120 (/ (pow x 7) (pow y 6))) (* 1/48 (/ (pow x 3) (pow y 2)))))) y))))
#s(approx (/ (/ (- 1 (sin (+ (/ (neg x) y) (/ (PI) 2)))) (sin (/ x y))) (sin (/ x (* y 2)))) #s(hole binary64 (* (pow y 2) (+ (* -1 (/ (+ (* -2 (/ (cos (* 1/2 (PI))) x)) (* -1 (/ (- (sin (* 1/2 (PI))) (* 4 (/ (* (+ (* -1/12 (pow x 4)) (* -1/48 (pow x 4))) (- 1 (sin (* 1/2 (PI))))) (pow x 4)))) y))) y)) (* 2 (/ (- 1 (sin (* 1/2 (PI)))) (pow x 2)))))))
#s(approx (/ (/ (- 1 (sin (+ (/ (neg x) y) (/ (PI) 2)))) (sin (/ x y))) (sin (/ x (* y 2)))) #s(hole binary64 (* (pow y 2) (+ (* -1 (/ (+ (* -2 (/ (cos (* 1/2 (PI))) x)) (* -1 (/ (- (+ (sin (* 1/2 (PI))) (* -1 (/ (- (* 1/3 (* x (cos (* 1/2 (PI))))) (* -4 (/ (* (cos (* 1/2 (PI))) (+ (* -1/12 (pow x 4)) (* -1/48 (pow x 4)))) (pow x 3)))) y))) (* 4 (/ (* (+ (* -1/12 (pow x 4)) (* -1/48 (pow x 4))) (- 1 (sin (* 1/2 (PI))))) (pow x 4)))) y))) y)) (* 2 (/ (- 1 (sin (* 1/2 (PI)))) (pow x 2)))))))
#s(approx (/ (- 1 (sin (+ (/ (neg x) y) (/ (PI) 2)))) (sin (/ x y))) #s(hole binary64 (* -1 (* y (+ (* -1 (/ (cos (* 1/2 (PI))) y)) (* -1 (/ (- 1 (sin (* 1/2 (PI)))) x)))))))
#s(approx (/ (- 1 (sin (+ (/ (neg x) y) (/ (PI) 2)))) (sin (/ x y))) #s(hole binary64 (* -1 (* y (+ (* -1 (/ (+ (cos (* 1/2 (PI))) (* -1 (/ (- (* -1/2 (* x (sin (* 1/2 (PI))))) (* 1/6 (* x (- 1 (sin (* 1/2 (PI))))))) y))) y)) (* -1 (/ (- 1 (sin (* 1/2 (PI)))) x)))))))
#s(approx (/ (- 1 (sin (+ (/ (neg x) y) (/ (PI) 2)))) (sin (/ x y))) #s(hole binary64 (* -1 (* y (+ (* -1 (/ (+ (cos (* 1/2 (PI))) (* -1 (/ (- (+ (* -1/2 (* x (sin (* 1/2 (PI))))) (* 1/24 (/ (* (pow x 3) (sin (* 1/2 (PI)))) (pow y 2)))) (+ (* -1/6 (/ (* (pow x 2) (- (* -1/2 (* x (sin (* 1/2 (PI))))) (* 1/6 (* x (- 1 (sin (* 1/2 (PI)))))))) (pow y 2))) (+ (* -1/120 (/ (* (pow x 3) (- 1 (sin (* 1/2 (PI))))) (pow y 2))) (* 1/6 (* x (- 1 (sin (* 1/2 (PI))))))))) y))) y)) (* -1 (/ (- 1 (sin (* 1/2 (PI)))) x)))))))
#s(approx (- 1 (sin (+ (/ (neg x) y) (/ (PI) 2)))) #s(hole binary64 (- (+ 1 (* -1 (/ (- (* -1/2 (/ (* (pow x 2) (sin (* 1/2 (PI)))) y)) (* x (cos (* 1/2 (PI))))) y))) (sin (* 1/2 (PI))))))
#s(approx (- 1 (sin (+ (/ (neg x) y) (/ (PI) 2)))) #s(hole binary64 (- (+ 1 (* -1 (/ (- (* -1 (/ (- (* -1/6 (/ (* (pow x 3) (cos (* 1/2 (PI)))) y)) (* -1/2 (* (pow x 2) (sin (* 1/2 (PI)))))) y)) (* x (cos (* 1/2 (PI))))) y))) (sin (* 1/2 (PI))))))
#s(approx (sin (+ (/ (neg x) y) (/ (PI) 2))) #s(hole binary64 (+ (sin (* 1/2 (PI))) (* -1 (/ (+ (* 1/2 (/ (* (pow x 2) (sin (* 1/2 (PI)))) y)) (* x (cos (* 1/2 (PI))))) y)))))
#s(approx (sin (+ (/ (neg x) y) (/ (PI) 2))) #s(hole binary64 (+ (sin (* 1/2 (PI))) (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (pow x 2) (sin (* 1/2 (PI))))) (* 1/6 (/ (* (pow x 3) (cos (* 1/2 (PI)))) y))) y)) (* x (cos (* 1/2 (PI))))) y)))))
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Outputs
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(hole binary64 1))
#s(approx (/ (tan (+ (PI) (/ x (* 2 y)))) (sin (/ x (+ y y)))) #s(literal 1 binary64))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(hole binary64 (+ 1 (* 1/8 (/ (pow x 2) (pow y 2))))))
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#s(approx (/ 1 (cos (* -1/2 (/ x y)))) #s(hole binary64 1))
#s(approx (/ 1 (cos (* -1/2 (/ x y)))) #s(literal 1 binary64))
#s(approx (/ 1 (cos (* -1/2 (/ x y)))) #s(hole binary64 (+ 1 (* 1/8 (/ (pow x 2) (pow y 2))))))
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#s(approx x #s(hole binary64 x))
#s(approx x x)
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#s(approx (- 1 (sin (+ (/ (neg x) y) (/ (PI) 2)))) #s(hole binary64 (- (+ 1 (* -1 (/ (- (* -1/2 (/ (* (pow x 2) (sin (* 1/2 (PI)))) y)) (* x (cos (* 1/2 (PI))))) y))) (sin (* 1/2 (PI))))))
#s(approx (- 1 (cos (/ x y))) (-.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 (.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) (PI.f64))) (.f64 x x)) y) #s(literal -1/2 binary64) (.f64 (neg.f64 x) (cos.f64 (.f64 #s(literal -1/2 binary64) (PI.f64))))) y) #s(literal -1 binary64) #s(literal 1 binary64)) (sin.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)))))
#s(approx (- 1 (sin (+ (/ (neg x) y) (/ (PI) 2)))) #s(hole binary64 (- (+ 1 (* -1 (/ (- (* -1 (/ (- (* -1/6 (/ (* (pow x 3) (cos (* 1/2 (PI)))) y)) (* -1/2 (* (pow x 2) (sin (* 1/2 (PI)))))) y)) (* x (cos (* 1/2 (PI))))) y))) (sin (* 1/2 (PI))))))
#s(approx (- 1 (cos (/ x y))) (-.f64 (fma.f64 (/.f64 (-.f64 (/.f64 (fma.f64 (/.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) (cos.f64 (.f64 #s(literal -1/2 binary64) (PI.f64)))) y) #s(literal -1/6 binary64) (.f64 (.f64 #s(literal 1/2 binary64) (.f64 x x)) (sin.f64 (.f64 #s(literal 1/2 binary64) (PI.f64))))) (neg.f64 y)) (.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) (PI.f64))) x)) y) #s(literal -1 binary64) #s(literal 1 binary64)) (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)))))
#s(approx (sin (+ (/ (neg x) y) (/ (PI) 2))) #s(hole binary64 (+ (sin (* 1/2 (PI))) (* -1 (/ (+ (* 1/2 (/ (* (pow x 2) (sin (* 1/2 (PI)))) y)) (* x (cos (* 1/2 (PI))))) y)))))
#s(approx (sin (+ (/ (neg x) y) (/ (PI) 2))) (fma.f64 (/.f64 (fma.f64 (/.f64 (.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) (PI.f64))) (.f64 x x)) y) #s(literal 1/2 binary64) (.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) (PI.f64))) x)) y) #s(literal -1 binary64) (sin.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)))))
#s(approx (sin (+ (/ (neg x) y) (/ (PI) 2))) #s(hole binary64 (+ (sin (* 1/2 (PI))) (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (pow x 2) (sin (* 1/2 (PI))))) (* 1/6 (/ (* (pow x 3) (cos (* 1/2 (PI)))) y))) y)) (* x (cos (* 1/2 (PI))))) y)))))
#s(approx (sin (+ (/ (neg x) y) (/ (PI) 2))) (fma.f64 (/.f64 (fma.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) (PI.f64))) x (/.f64 (fma.f64 (/.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) (cos.f64 (.f64 #s(literal -1/2 binary64) (PI.f64)))) y) #s(literal 1/6 binary64) (.f64 (.f64 #s(literal -1/2 binary64) (.f64 x x)) (sin.f64 (.f64 #s(literal 1/2 binary64) (PI.f64))))) (neg.f64 y))) y) #s(literal -1 binary64) (sin.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)))))
#s(approx (sin (/ x (* y 2))) #s(hole binary64 (* -1 (/ (+ (* -1/2 x) (* 1/48 (/ (pow x 3) (pow y 2)))) y))))
#s(approx (sin (/ x (* 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)))
#s(approx (sin (/ x (* y 2))) #s(hole binary64 (* -1 (/ (+ (* -1/2 x) (+ (* -1/3840 (/ (pow x 5) (pow y 4))) (* 1/48 (/ (pow x 3) (pow y 2))))) y))))
#s(approx (sin (/ x (* 2 y))) (/.f64 (fma.f64 #s(literal -1/2 binary64) x (fma.f64 (/.f64 #s(literal 1/48 binary64) y) (/.f64 (pow.f64 x #s(literal 3 binary64)) y) (/.f64 (*.f64 #s(literal -1/3840 binary64) (pow.f64 x #s(literal 5 binary64))) (pow.f64 y #s(literal 4 binary64))))) (neg.f64 y)))
#s(approx (sin (/ x (* y 2))) #s(hole binary64 (* -1 (/ (+ (* -1/2 x) (+ (* -1/3840 (/ (pow x 5) (pow y 4))) (+ (* 1/645120 (/ (pow x 7) (pow y 6))) (* 1/48 (/ (pow x 3) (pow y 2)))))) y))))
#s(approx (sin (/ x (* 2 y))) (/.f64 (fma.f64 #s(literal -1/2 binary64) x (fma.f64 #s(literal -1/3840 binary64) (/.f64 (pow.f64 x #s(literal 5 binary64)) (pow.f64 y #s(literal 4 binary64))) (fma.f64 (/.f64 #s(literal 1/48 binary64) y) (/.f64 (pow.f64 x #s(literal 3 binary64)) y) (/.f64 (*.f64 (pow.f64 x #s(literal 7 binary64)) #s(literal 1/645120 binary64)) (pow.f64 y #s(literal 6 binary64)))))) (neg.f64 y)))

rewrite75.0ms (1.5%)

Memory

-27.3MiB live, 73.1MiB allocated; 51ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	49	259
0	80	233
0	261	233

Stop Event

1×	iter limit
1×	iter limit
1×	iter limit
1×	unsound
1×	iter limit

Counts

38 → 108

Calls

Call 1

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

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

eval41.0ms (0.8%)

Memory: 34.5MiB live, 81.8MiB allocated; 9ms collecting garbage
Compiler: Compiled 11 197 to 1 635 computations (85.4% saved)

prune37.0ms (0.7%)

Memory

-13.1MiB live, 77.8MiB allocated; 9ms collecting garbage

Pruning

40 alts after pruning (37 fresh and 3 done)

	Pruned	Kept	Total
New	288	18	306
Fresh	9	19	28
Picked	3	2	5
Done	0	1	1
Total	300	40	340

Accuracy

63.0%

Counts

340 → 40

Alt Table

Click to see full alt table

Status	Accuracy	Program
	6.8%	(/.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 (cos.f64 (/.f64 x y)) #s(literal 1 binary64))) (/.f64 (pow.f64 (cos.f64 (/.f64 x y)) #s(literal 2 binary64)) (+.f64 (cos.f64 (/.f64 x y)) #s(literal 1 binary64)))) (sin.f64 (/.f64 x y))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
	6.2%	(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (.f64 (cos.f64 (/.f64 x y)) (cos.f64 (/.f64 x y)))) (+.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x y)))) (.f64 (sin.f64 (/.f64 x y)) (sin.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y)))))
	3.2%	(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (sin.f64 (+.f64 (/.f64 (neg.f64 x) y) (/.f64 (PI.f64) #s(literal 2 binary64))))) #s(approx (sin (/ x y)) (/.f64 x y))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
	5.4%	(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (sin.f64 #s(approx (+ (/ (neg x) y) (/ (PI) 2)) (/.f64 (neg.f64 x) y)))) (sin.f64 (/.f64 x y))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
	6.3%	(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (sin.f64 #s(approx (+ (/ (neg x) y) (/ (PI) 2)) (.f64 (fma.f64 (/.f64 (PI.f64) x) #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) y)) (neg.f64 x))))) (sin.f64 (/.f64 x y))) (sin.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))))
	6.8%	(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x y))) (sin.f64 (/.f64 x y))) (sin.f64 (/.f64 x (+.f64 y y))))
	43.5%	(/.f64 (/.f64 (sin.f64 (/.f64 x (.f64 #s(literal 2 binary64) y))) (cos.f64 (/.f64 x (.f64 #s(literal 2 binary64) y)))) #s(approx (sin (/ x (* y 2))) (*.f64 (/.f64 x y) #s(literal 1/2 binary64))))
	43.8%	(/.f64 (/.f64 (sin.f64 (/.f64 x y)) (+.f64 (cos.f64 (/.f64 x y)) #s(literal 1 binary64))) #s(approx (sin (/ x (* y 2))) (*.f64 (/.f64 x y) #s(literal 1/2 binary64))))
	47.3%	(/.f64 (/.f64 (sin.f64 (/.f64 x y)) (+.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x y)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
	47.7%	(/.f64 (/.f64 (neg.f64 (sin.f64 (/.f64 x (.f64 #s(literal 2 binary64) y)))) (cos.f64 (+.f64 (PI.f64) (/.f64 x (.f64 #s(literal 2 binary64) y))))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
	6.8%	(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (sin.f64 (/.f64 x y))) (/.f64 (cos.f64 (/.f64 x y)) (sin.f64 (/.f64 x y)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
	6.2%	(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 (/.f64 x y)) #s(literal 2 binary64))) (.f64 (+.f64 (cos.f64 (/.f64 x y)) #s(literal 1 binary64)) (.f64 (sin.f64 (/.f64 x y)) (sin.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y))))))
	5.7%	(/.f64 (-.f64 #s(literal 1 binary64) (sin.f64 (+.f64 (/.f64 x y) (/.f64 (PI.f64) #s(literal 2 binary64))))) (.f64 (sin.f64 (/.f64 x y)) (sin.f64 (/.f64 x (.f64 #s(literal 2 binary64) y)))))
▶	5.3%	(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x y))) (/.f64 (-.f64 (cos.f64 (-.f64 (/.f64 x y) (/.f64 (/.f64 x y) #s(literal 2 binary64)))) (cos.f64 (+.f64 (/.f64 x y) (/.f64 (/.f64 x y) #s(literal 2 binary64))))) #s(literal 2 binary64)))
▶	6.2%	(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x y))) (*.f64 (sin.f64 (/.f64 x y)) (sin.f64 (/.f64 x (+.f64 y y)))))
	2.6%	(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x y))) (.f64 (sin.f64 (/.f64 x y)) #s(approx (sin (/ x ( y 2))) (*.f64 #s(literal 1/2 binary64) (/.f64 x y)))))
	5.2%	(/.f64 (tan.f64 (/.f64 (-.f64 (.f64 (PI.f64) (PI.f64)) (.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64)) (/.f64 (/.f64 x y) #s(literal 2 binary64)))) (-.f64 (PI.f64) (/.f64 (/.f64 x y) #s(literal 2 binary64))))) (sin.f64 (/.f64 x (+.f64 y y))))
	47.6%	(/.f64 (tan.f64 (/.f64 x (+.f64 y y))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
	43.5%	(/.f64 (tan.f64 (/.f64 x (+.f64 y y))) #s(approx (sin (/ x (* y 2))) (*.f64 (/.f64 x y) #s(literal 1/2 binary64))))
	6.6%	(/.f64 (tan.f64 (+.f64 (+.f64 (PI.f64) (/.f64 x (.f64 #s(literal 2 binary64) y))) (PI.f64))) (sin.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))))
	3.0%	(/.f64 (tan.f64 (+.f64 (PI.f64) (/.f64 x (/.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (fma.f64 y y (-.f64 (.f64 y y) (.f64 y y))))))) (sin.f64 (/.f64 x (+.f64 y y))))
	6.7%	(/.f64 (tan.f64 (+.f64 (PI.f64) (/.f64 x (+.f64 y y)))) (sin.f64 (/.f64 x (+.f64 y y))))
	3.5%	(/.f64 (tan.f64 (+.f64 (PI.f64) (/.f64 x (.f64 #s(literal 2 binary64) y)))) (sin.f64 (/.f64 x (/.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (fma.f64 y y (-.f64 (.f64 y y) (*.f64 y y)))))))
	6.4%	(/.f64 (tan.f64 #s(approx (+ (PI) (/ x (* 2 y))) (*.f64 (+.f64 (/.f64 (PI.f64) x) (/.f64 #s(literal 1/2 binary64) y)) x))) (sin.f64 (/.f64 x (+.f64 y y))))
	43.5%	(/.f64 (sin.f64 (/.f64 x (.f64 #s(literal 2 binary64) y))) (.f64 (cos.f64 (/.f64 x (.f64 #s(literal 2 binary64) y))) #s(approx (sin (/ x ( y 2))) (*.f64 #s(literal 1/2 binary64) (/.f64 x y)))))
	43.3%	(/.f64 #s(approx (tan (/ x (* y 2))) (.f64 (/.f64 x y) #s(literal 1/2 binary64))) (sin.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))))
	4.8%	(/.f64 #s(approx (tan (+ (PI) (/ x (* 2 y)))) (/.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (sin.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)))) y (.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) (PI.f64))) x)) x)) (sin.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))))
	6.3%	(-.f64 (/.f64 (pow.f64 (sin.f64 (/.f64 x y)) #s(literal -1 binary64)) (sin.f64 (/.f64 x (.f64 #s(literal 2 binary64) y)))) (/.f64 (/.f64 (cos.f64 (/.f64 x y)) (sin.f64 (/.f64 x y))) (sin.f64 (/.f64 x (.f64 #s(literal 2 binary64) y)))))
	6.5%	(-.f64 (/.f64 #s(literal 1 binary64) (.f64 (sin.f64 (/.f64 x y)) (sin.f64 (/.f64 x (.f64 #s(literal 2 binary64) y))))) (/.f64 (cos.f64 (/.f64 x y)) (.f64 (sin.f64 (/.f64 x y)) (sin.f64 (/.f64 x (.f64 #s(literal 2 binary64) y))))))
	53.2%	#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (fma.f64 (*.f64 (/.f64 x y) x) (/.f64 #s(literal 1/8 binary64) y) #s(literal 1 binary64)))
▶	46.7%	#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)))
▶	57.1%	#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (sin.f64 (fma.f64 (/.f64 x y) #s(literal -1/2 binary64) (/.f64 (PI.f64) #s(literal 2 binary64))))))
✓	57.0%	#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)))))
	51.2%	#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) #s(approx (cos (* -1/2 (/ x y))) (fma.f64 (/.f64 #s(literal -1/8 binary64) y) (/.f64 (*.f64 x x) y) #s(literal 1 binary64)))))
✓	58.0%	#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(literal 1 binary64))
	6.8%	#s(approx (/ (tan (+ (PI) (/ x (* 2 y)))) (sin (/ x (+ y y)))) (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x y))) (sin.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y)))) (sin.f64 (/.f64 x y))))
	43.5%	#s(approx (/ (tan (+ (PI) (/ x (* 2 y)))) (sin (/ x (+ y y)))) (/.f64 (.f64 #s(literal 2 binary64) (fma.f64 (.f64 y x) (-.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal 0 binary64) (.f64 #s(literal 1 binary64) y))) (.f64 #s(literal 0 binary64) y))) x))
	43.5%	#s(approx (/ (tan (+ (PI) (/ x (* 2 y)))) (sin (/ x (+ y y)))) (.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) x (.f64 (.f64 #s(literal 0 binary64) x) #s(literal 1/2 binary64))) (.f64 y x)) #s(literal 2 binary64) (/.f64 #s(literal 0 binary64) (neg.f64 x))) y))
▶	45.7%	#s(approx (/ (tan (+ (PI) (/ x (* 2 y)))) (sin (/ x (* y 2)))) (/.f64 (fma.f64 (fma.f64 (fma.f64 (fma.f64 (fma.f64 (fma.f64 (/.f64 #s(literal -1/8 binary64) y) (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 0 binary64)) y) (/.f64 #s(literal 1/48 binary64) (pow.f64 y #s(literal 3 binary64)))) y #s(literal 0 binary64)) #s(literal -2 binary64) (.f64 #s(literal 1/12 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 0 binary64)) y))) x #s(literal 0 binary64)) x (.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) y) y #s(literal 0 binary64)) #s(literal 2 binary64))) x #s(literal 0 binary64)) x))
✓	3.1%	#s(approx (/ (tan (+ (PI) (/ x (* 2 y)))) (sin (/ x (* y 2)))) #s(literal 0 binary64))

Compiler

Compiled 2 054 to 1 333 computations (35.1% saved)

series79.0ms (1.5%)

Memory

-7.4MiB live, 132.3MiB allocated; 24ms collecting garbage

Counts

58 → 222

Calls

Call 1

Inputs
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (sin.f64 (fma.f64 (/.f64 x y) #s(literal -1/2 binary64) (/.f64 (PI.f64) #s(literal 2 binary64))))))
(/.f64 #s(literal 1 binary64) (sin.f64 (fma.f64 (/.f64 x y) #s(literal -1/2 binary64) (/.f64 (PI.f64) #s(literal 2 binary64)))))
#s(literal 1 binary64)
(sin.f64 (fma.f64 (/.f64 x y) #s(literal -1/2 binary64) (/.f64 (PI.f64) #s(literal 2 binary64))))
(fma.f64 (/.f64 x y) #s(literal -1/2 binary64) (/.f64 (PI.f64) #s(literal 2 binary64)))
(/.f64 x y)
x
y
#s(literal -1/2 binary64)
(/.f64 (PI.f64) #s(literal 2 binary64))
(PI.f64)
#s(literal 2 binary64)
#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))
#s(literal 1/8 binary64)
(*.f64 y y)
#s(approx (/ (tan (+ (PI) (/ x (* 2 y)))) (sin (/ x (* y 2)))) (/.f64 (fma.f64 (fma.f64 (fma.f64 (fma.f64 (fma.f64 (fma.f64 (/.f64 #s(literal -1/8 binary64) y) (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 0 binary64)) y) (/.f64 #s(literal 1/48 binary64) (pow.f64 y #s(literal 3 binary64)))) y #s(literal 0 binary64)) #s(literal -2 binary64) (.f64 #s(literal 1/12 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 0 binary64)) y))) x #s(literal 0 binary64)) x (.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) y) y #s(literal 0 binary64)) #s(literal 2 binary64))) x #s(literal 0 binary64)) x))
(/.f64 (fma.f64 (fma.f64 (fma.f64 (fma.f64 (fma.f64 (fma.f64 (/.f64 #s(literal -1/8 binary64) y) (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 0 binary64)) y) (/.f64 #s(literal 1/48 binary64) (pow.f64 y #s(literal 3 binary64)))) y #s(literal 0 binary64)) #s(literal -2 binary64) (.f64 #s(literal 1/12 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 0 binary64)) y))) x #s(literal 0 binary64)) x (.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) y) y #s(literal 0 binary64)) #s(literal 2 binary64))) x #s(literal 0 binary64)) x)
(fma.f64 (fma.f64 (fma.f64 (fma.f64 (fma.f64 (fma.f64 (/.f64 #s(literal -1/8 binary64) y) (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 0 binary64)) y) (/.f64 #s(literal 1/48 binary64) (pow.f64 y #s(literal 3 binary64)))) y #s(literal 0 binary64)) #s(literal -2 binary64) (.f64 #s(literal 1/12 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 0 binary64)) y))) x #s(literal 0 binary64)) x (.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) y) y #s(literal 0 binary64)) #s(literal 2 binary64))) x #s(literal 0 binary64))
(fma.f64 (fma.f64 (fma.f64 (fma.f64 (fma.f64 (/.f64 #s(literal -1/8 binary64) y) (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 0 binary64)) y) (/.f64 #s(literal 1/48 binary64) (pow.f64 y #s(literal 3 binary64)))) y #s(literal 0 binary64)) #s(literal -2 binary64) (.f64 #s(literal 1/12 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 0 binary64)) y))) x #s(literal 0 binary64)) x (.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) y) y #s(literal 0 binary64)) #s(literal 2 binary64)))
(fma.f64 (fma.f64 (fma.f64 (fma.f64 (/.f64 #s(literal -1/8 binary64) y) (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 0 binary64)) y) (/.f64 #s(literal 1/48 binary64) (pow.f64 y #s(literal 3 binary64)))) y #s(literal 0 binary64)) #s(literal -2 binary64) (*.f64 #s(literal 1/12 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 0 binary64)) y))) x #s(literal 0 binary64))
(fma.f64 (fma.f64 (fma.f64 (/.f64 #s(literal -1/8 binary64) y) (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 0 binary64)) y) (/.f64 #s(literal 1/48 binary64) (pow.f64 y #s(literal 3 binary64)))) y #s(literal 0 binary64)) #s(literal -2 binary64) (*.f64 #s(literal 1/12 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 0 binary64)) y)))
(fma.f64 (fma.f64 (/.f64 #s(literal -1/8 binary64) y) (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 0 binary64)) y) (/.f64 #s(literal 1/48 binary64) (pow.f64 y #s(literal 3 binary64)))) y #s(literal 0 binary64))
(fma.f64 (/.f64 #s(literal -1/8 binary64) y) (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 0 binary64)) y) (/.f64 #s(literal 1/48 binary64) (pow.f64 y #s(literal 3 binary64))))
(/.f64 #s(literal -1/8 binary64) y)
#s(literal -1/8 binary64)
(/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 0 binary64)) y)
(-.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 0 binary64))
(/.f64 #s(literal 1/2 binary64) y)
#s(literal 1/2 binary64)
#s(literal 0 binary64)
(/.f64 #s(literal 1/48 binary64) (pow.f64 y #s(literal 3 binary64)))
#s(literal 1/48 binary64)
(pow.f64 y #s(literal 3 binary64))
#s(literal 3 binary64)
#s(literal -2 binary64)
(*.f64 #s(literal 1/12 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 0 binary64)) y))
#s(literal 1/12 binary64)
(*.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) y) y #s(literal 0 binary64)) #s(literal 2 binary64))
(fma.f64 (/.f64 #s(literal 1/2 binary64) y) y #s(literal 0 binary64))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x y))) (*.f64 (sin.f64 (/.f64 x y)) (sin.f64 (/.f64 x (+.f64 y y)))))
(-.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x y)))
(cos.f64 (/.f64 x y))
(*.f64 (sin.f64 (/.f64 x y)) (sin.f64 (/.f64 x (+.f64 y y))))
(sin.f64 (/.f64 x y))
(sin.f64 (/.f64 x (+.f64 y y)))
(/.f64 x (+.f64 y y))
(+.f64 y y)
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x y))) (/.f64 (-.f64 (cos.f64 (-.f64 (/.f64 x y) (/.f64 (/.f64 x y) #s(literal 2 binary64)))) (cos.f64 (+.f64 (/.f64 x y) (/.f64 (/.f64 x y) #s(literal 2 binary64))))) #s(literal 2 binary64)))
(/.f64 (-.f64 (cos.f64 (-.f64 (/.f64 x y) (/.f64 (/.f64 x y) #s(literal 2 binary64)))) (cos.f64 (+.f64 (/.f64 x y) (/.f64 (/.f64 x y) #s(literal 2 binary64))))) #s(literal 2 binary64))
(-.f64 (cos.f64 (-.f64 (/.f64 x y) (/.f64 (/.f64 x y) #s(literal 2 binary64)))) (cos.f64 (+.f64 (/.f64 x y) (/.f64 (/.f64 x y) #s(literal 2 binary64)))))
(cos.f64 (-.f64 (/.f64 x y) (/.f64 (/.f64 x y) #s(literal 2 binary64))))
(-.f64 (/.f64 x y) (/.f64 (/.f64 x y) #s(literal 2 binary64)))
(/.f64 (/.f64 x y) #s(literal 2 binary64))
(cos.f64 (+.f64 (/.f64 x y) (/.f64 (/.f64 x y) #s(literal 2 binary64))))
(+.f64 (/.f64 x y) (/.f64 (/.f64 x y) #s(literal 2 binary64)))

Outputs
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(hole binary64 1))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(hole binary64 (+ 1 (* 1/8 (/ (pow x 2) (pow y 2))))))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(hole binary64 (+ 1 (* (pow x 2) (+ (* 5/384 (/ (pow x 2) (pow y 4))) (* 1/8 (/ 1 (pow y 2))))))))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(hole 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))))))))
#s(approx (/ 1 (sin (+ (* (/ x y) -1/2) (/ (PI) 2)))) #s(hole binary64 (/ 1 (sin (* 1/2 (PI))))))
#s(approx (/ 1 (sin (+ (* (/ x y) -1/2) (/ (PI) 2)))) #s(hole binary64 (+ (* 1/2 (/ (* x (cos (* 1/2 (PI)))) (* y (pow (sin (* 1/2 (PI))) 2)))) (/ 1 (sin (* 1/2 (PI)))))))
#s(approx (/ 1 (sin (+ (* (/ x y) -1/2) (/ (PI) 2)))) #s(hole binary64 (+ (* x (- (* x (- (* 1/8 (/ 1 (* (pow y 2) (sin (* 1/2 (PI)))))) (* -1/4 (/ (pow (cos (* 1/2 (PI))) 2) (* (pow y 2) (pow (sin (* 1/2 (PI))) 3)))))) (* -1/2 (/ (cos (* 1/2 (PI))) (* y (pow (sin (* 1/2 (PI))) 2)))))) (/ 1 (sin (* 1/2 (PI)))))))
#s(approx (/ 1 (sin (+ (* (/ x y) -1/2) (/ (PI) 2)))) #s(hole binary64 (+ (* x (- (* x (- (+ (* -1 (* x (+ (* -1/2 (/ (* (cos (* 1/2 (PI))) (- (* 1/8 (/ 1 (* (pow y 2) (sin (* 1/2 (PI)))))) (* -1/4 (/ (pow (cos (* 1/2 (PI))) 2) (* (pow y 2) (pow (sin (* 1/2 (PI))) 3)))))) (* y (sin (* 1/2 (PI)))))) (+ (* -1/16 (/ (cos (* 1/2 (PI))) (* (pow y 3) (pow (sin (* 1/2 (PI))) 2)))) (* 1/48 (/ (cos (* 1/2 (PI))) (* (pow y 3) (pow (sin (* 1/2 (PI))) 2)))))))) (* 1/8 (/ 1 (* (pow y 2) (sin (* 1/2 (PI))))))) (* -1/4 (/ (pow (cos (* 1/2 (PI))) 2) (* (pow y 2) (pow (sin (* 1/2 (PI))) 3)))))) (* -1/2 (/ (cos (* 1/2 (PI))) (* y (pow (sin (* 1/2 (PI))) 2)))))) (/ 1 (sin (* 1/2 (PI)))))))
#s(approx (sin (+ (* (/ x y) -1/2) (/ (PI) 2))) #s(hole binary64 (sin (* 1/2 (PI)))))
#s(approx (sin (+ (* (/ x y) -1/2) (/ (PI) 2))) #s(hole binary64 (+ (sin (* 1/2 (PI))) (* -1/2 (/ (* x (cos (* 1/2 (PI)))) y)))))
#s(approx (sin (+ (* (/ x y) -1/2) (/ (PI) 2))) #s(hole binary64 (+ (sin (* 1/2 (PI))) (* x (+ (* -1/2 (/ (cos (* 1/2 (PI))) y)) (* -1/8 (/ (* x (sin (* 1/2 (PI)))) (pow y 2))))))))
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#s(approx (+ (* (/ x y) -1/2) (/ (PI) 2)) #s(hole binary64 (* 1/2 (PI))))
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#s(approx (/ x y) #s(hole binary64 (/ x y)))
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#s(approx (+ (* (* x x) (/ 1/8 (* y y))) 1) #s(hole binary64 (+ 1 (* 1/8 (/ (pow x 2) (pow y 2))))))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx (/ (tan (+ (PI) (/ x (* 2 y)))) (sin (/ x (* y 2)))) #s(hole binary64 (* 2 (/ (* y (sin (PI))) (* x (cos (PI)))))))
#s(approx (/ (tan (+ (PI) (/ x (* 2 y)))) (sin (/ x (* y 2)))) #s(hole binary64 (/ (+ (* 2 (* x (* y (- (* 1/2 (/ 1 y)) (* -1/2 (/ (pow (sin (PI)) 2) (* y (pow (cos (PI)) 2)))))))) (* 2 (/ (* y (sin (PI))) (cos (PI))))) x)))
#s(approx (/ (tan (+ (PI) (/ x (* 2 y)))) (sin (/ x (* y 2)))) #s(hole binary64 (/ (+ (* 2 (/ (* y (sin (PI))) (cos (PI)))) (* x (+ (* 2 (* y (- (* 1/2 (/ 1 y)) (* -1/2 (/ (pow (sin (PI)) 2) (* y (pow (cos (PI)) 2))))))) (* x (- (/ (* (sin (PI)) (- (* 1/2 (/ 1 y)) (* -1/2 (/ (pow (sin (PI)) 2) (* y (pow (cos (PI)) 2)))))) (cos (PI))) (* -1/12 (/ (sin (PI)) (* y (cos (PI)))))))))) x)))
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#s(approx (/ (+ (* (+ (* (+ (* (+ (* (+ (* (+ (* (/ -1/8 y) (/ (- (/ 1/2 y) 0) y)) (/ 1/48 (pow y 3))) y) 0) -2) (* 1/12 (/ (- (/ 1/2 y) 0) y))) x) 0) x) (* (+ (* (/ 1/2 y) y) 0) 2)) x) 0) x) #s(hole binary64 1))
#s(approx (/ (+ (* (+ (* (+ (* (+ (* (+ (* (+ (* (/ -1/8 y) (/ (- (/ 1/2 y) 0) y)) (/ 1/48 (pow y 3))) y) 0) -2) (* 1/12 (/ (- (/ 1/2 y) 0) y))) x) 0) x) (* (+ (* (/ 1/2 y) y) 0) 2)) x) 0) x) #s(hole binary64 (+ 1 (* 1/8 (/ (pow x 2) (pow y 2))))))
#s(approx (+ (* (+ (* (+ (* (+ (* (+ (* (+ (* (/ -1/8 y) (/ (- (/ 1/2 y) 0) y)) (/ 1/48 (pow y 3))) y) 0) -2) (* 1/12 (/ (- (/ 1/2 y) 0) y))) x) 0) x) (* (+ (* (/ 1/2 y) y) 0) 2)) x) 0) #s(hole binary64 x))
#s(approx (+ (* (+ (* (+ (* (+ (* (+ (* (+ (* (/ -1/8 y) (/ (- (/ 1/2 y) 0) y)) (/ 1/48 (pow y 3))) y) 0) -2) (* 1/12 (/ (- (/ 1/2 y) 0) y))) x) 0) x) (* (+ (* (/ 1/2 y) y) 0) 2)) x) 0) #s(hole binary64 (* x (+ 1 (* 1/8 (/ (pow x 2) (pow y 2)))))))
#s(approx (+ (* (+ (* (+ (* (+ (* (+ (* (/ -1/8 y) (/ (- (/ 1/2 y) 0) y)) (/ 1/48 (pow y 3))) y) 0) -2) (* 1/12 (/ (- (/ 1/2 y) 0) y))) x) 0) x) (* (+ (* (/ 1/2 y) y) 0) 2)) #s(hole binary64 1))
#s(approx (+ (* (+ (* (+ (* (+ (* (+ (* (/ -1/8 y) (/ (- (/ 1/2 y) 0) y)) (/ 1/48 (pow y 3))) y) 0) -2) (* 1/12 (/ (- (/ 1/2 y) 0) y))) x) 0) x) (* (+ (* (/ 1/2 y) y) 0) 2)) #s(hole binary64 (+ 1 (* 1/8 (/ (pow x 2) (pow y 2))))))
#s(approx (+ (* (+ (* (+ (* (+ (* (/ -1/8 y) (/ (- (/ 1/2 y) 0) y)) (/ 1/48 (pow y 3))) y) 0) -2) (* 1/12 (/ (- (/ 1/2 y) 0) y))) x) 0) #s(hole binary64 (* 1/8 (/ x (pow y 2)))))
#s(approx (/ (- 1 (cos (/ x y))) (* (sin (/ x y)) (sin (/ x (+ y y))))) #s(hole binary64 1))
#s(approx (/ (- 1 (cos (/ x y))) (* (sin (/ x y)) (sin (/ x (+ y y))))) #s(hole binary64 (+ 1 (* 1/8 (/ (pow x 2) (pow y 2))))))
#s(approx (/ (- 1 (cos (/ x y))) (* (sin (/ x y)) (sin (/ x (+ y y))))) #s(hole binary64 (+ 1 (* (pow x 2) (+ (* 5/384 (/ (pow x 2) (pow y 4))) (* 1/8 (/ 1 (pow y 2))))))))
#s(approx (/ (- 1 (cos (/ x y))) (* (sin (/ x y)) (sin (/ x (+ y y))))) #s(hole binary64 (+ 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))))))))
#s(approx (- 1 (cos (/ x y))) #s(hole binary64 (* 1/2 (/ (pow x 2) (pow y 2)))))
#s(approx (- 1 (cos (/ x y))) #s(hole binary64 (* (pow x 2) (+ (* -1/24 (/ (pow x 2) (pow y 4))) (* 1/2 (/ 1 (pow y 2)))))))
#s(approx (- 1 (cos (/ x y))) #s(hole binary64 (* (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)))))))
#s(approx (- 1 (cos (/ x y))) #s(hole binary64 (* (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)))))))
#s(approx (cos (/ x y)) #s(hole binary64 1))
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#s(approx (cos (/ x y)) #s(hole binary64 (+ 1 (* (pow x 2) (- (* (pow x 2) (+ (* -1/720 (/ (pow x 2) (pow y 6))) (* 1/24 (/ 1 (pow y 4))))) (* 1/2 (/ 1 (pow y 2))))))))
#s(approx (* (sin (/ x y)) (sin (/ x (+ y y)))) #s(hole binary64 (* 1/2 (/ (pow x 2) (pow y 2)))))
#s(approx (* (sin (/ x y)) (sin (/ x (+ y y)))) #s(hole binary64 (* (pow x 2) (+ (* -5/48 (/ (pow x 2) (pow y 4))) (* 1/2 (/ 1 (pow y 2)))))))
#s(approx (* (sin (/ x y)) (sin (/ x (+ y y)))) #s(hole binary64 (* (pow x 2) (+ (* (pow x 2) (- (* 91/11520 (/ (pow x 2) (pow y 6))) (* 5/48 (/ 1 (pow y 4))))) (* 1/2 (/ 1 (pow y 2)))))))
#s(approx (* (sin (/ x y)) (sin (/ x (+ y y)))) #s(hole binary64 (* (pow x 2) (+ (* (pow x 2) (- (* (pow x 2) (+ (* -1 (* (pow x 2) (+ (* 1/645120 (/ 1 (pow y 8))) (* 17/53760 (/ 1 (pow y 8)))))) (* 91/11520 (/ 1 (pow y 6))))) (* 5/48 (/ 1 (pow y 4))))) (* 1/2 (/ 1 (pow y 2)))))))
#s(approx (sin (/ x y)) #s(hole binary64 (/ x y)))
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#s(approx (sin (/ x y)) #s(hole binary64 (* x (+ (* (pow x 2) (- (* 1/120 (/ (pow x 2) (pow y 5))) (* 1/6 (/ 1 (pow y 3))))) (/ 1 y)))))
#s(approx (sin (/ x y)) #s(hole binary64 (* 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)))))
#s(approx (sin (/ x (+ y y))) #s(hole binary64 (* 1/2 (/ x y))))
#s(approx (sin (/ x (+ y y))) #s(hole binary64 (* x (+ (* -1/48 (/ (pow x 2) (pow y 3))) (* 1/2 (/ 1 y))))))
#s(approx (sin (/ x (+ y y))) #s(hole binary64 (* x (+ (* (pow x 2) (- (* 1/3840 (/ (pow x 2) (pow y 5))) (* 1/48 (/ 1 (pow y 3))))) (* 1/2 (/ 1 y))))))
#s(approx (sin (/ x (+ y y))) #s(hole binary64 (* 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))))))
#s(approx (/ x (+ y y)) #s(hole binary64 (* 1/2 (/ x y))))
#s(approx (/ (- 1 (cos (/ x y))) (/ (- (cos (- (/ x y) (/ (/ x y) 2))) (cos (+ (/ x y) (/ (/ x y) 2)))) 2)) #s(hole binary64 1))
#s(approx (/ (- 1 (cos (/ x y))) (/ (- (cos (- (/ x y) (/ (/ x y) 2))) (cos (+ (/ x y) (/ (/ x y) 2)))) 2)) #s(hole binary64 (+ 1 (* 1/8 (/ (pow x 2) (pow y 2))))))
#s(approx (/ (- 1 (cos (/ x y))) (/ (- (cos (- (/ x y) (/ (/ x y) 2))) (cos (+ (/ x y) (/ (/ x y) 2)))) 2)) #s(hole binary64 (+ 1 (* (pow x 2) (+ (* 5/384 (/ (pow x 2) (pow y 4))) (* 1/8 (/ 1 (pow y 2))))))))
#s(approx (/ (- 1 (cos (/ x y))) (/ (- (cos (- (/ x y) (/ (/ x y) 2))) (cos (+ (/ x y) (/ (/ x y) 2)))) 2)) #s(hole 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))))))))
#s(approx (/ (- (cos (- (/ x y) (/ (/ x y) 2))) (cos (+ (/ x y) (/ (/ x y) 2)))) 2) #s(hole binary64 (* 1/2 (/ (pow x 2) (pow y 2)))))
#s(approx (/ (- (cos (- (/ x y) (/ (/ x y) 2))) (cos (+ (/ x y) (/ (/ x y) 2)))) 2) #s(hole binary64 (* (pow x 2) (+ (* -5/48 (/ (pow x 2) (pow y 4))) (* 1/2 (/ 1 (pow y 2)))))))
#s(approx (/ (- (cos (- (/ x y) (/ (/ x y) 2))) (cos (+ (/ x y) (/ (/ x y) 2)))) 2) #s(hole binary64 (* (pow x 2) (+ (* (pow x 2) (- (* 91/11520 (/ (pow x 2) (pow y 6))) (* 5/48 (/ 1 (pow y 4))))) (* 1/2 (/ 1 (pow y 2)))))))
#s(approx (/ (- (cos (- (/ x y) (/ (/ x y) 2))) (cos (+ (/ x y) (/ (/ x y) 2)))) 2) #s(hole binary64 (* (pow x 2) (+ (* (pow x 2) (- (* (pow x 2) (+ (* -41/129024 (/ (pow x 2) (pow y 8))) (* 91/11520 (/ 1 (pow y 6))))) (* 5/48 (/ 1 (pow y 4))))) (* 1/2 (/ 1 (pow y 2)))))))
#s(approx (- (cos (- (/ x y) (/ (/ x y) 2))) (cos (+ (/ x y) (/ (/ x y) 2)))) #s(hole binary64 (/ (pow x 2) (pow y 2))))
#s(approx (- (cos (- (/ x y) (/ (/ x y) 2))) (cos (+ (/ x y) (/ (/ x y) 2)))) #s(hole binary64 (* (pow x 2) (+ (* -5/24 (/ (pow x 2) (pow y 4))) (/ 1 (pow y 2))))))
#s(approx (- (cos (- (/ x y) (/ (/ x y) 2))) (cos (+ (/ x y) (/ (/ x y) 2)))) #s(hole binary64 (* (pow x 2) (+ (* (pow x 2) (- (* 91/5760 (/ (pow x 2) (pow y 6))) (* 5/24 (/ 1 (pow y 4))))) (/ 1 (pow y 2))))))
#s(approx (- (cos (- (/ x y) (/ (/ x y) 2))) (cos (+ (/ x y) (/ (/ x y) 2)))) #s(hole binary64 (* (pow x 2) (+ (* (pow x 2) (- (* (pow x 2) (+ (* -41/64512 (/ (pow x 2) (pow y 8))) (* 91/5760 (/ 1 (pow y 6))))) (* 5/24 (/ 1 (pow y 4))))) (/ 1 (pow y 2))))))
#s(approx (cos (- (/ x y) (/ (/ x y) 2))) #s(hole binary64 1))
#s(approx (cos (- (/ x y) (/ (/ x y) 2))) #s(hole binary64 (+ 1 (* -1/8 (/ (pow x 2) (pow y 2))))))
#s(approx (cos (- (/ x y) (/ (/ x y) 2))) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 1/384 (/ (pow x 2) (pow y 4))) (* 1/8 (/ 1 (pow y 2))))))))
#s(approx (cos (- (/ x y) (/ (/ x y) 2))) #s(hole 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))))))))
#s(approx (- (/ x y) (/ (/ x y) 2)) #s(hole binary64 (* 1/2 (/ x y))))
#s(approx (/ (/ x y) 2) #s(hole binary64 (* 1/2 (/ x y))))
#s(approx (cos (+ (/ x y) (/ (/ x y) 2))) #s(hole binary64 1))
#s(approx (cos (+ (/ x y) (/ (/ x y) 2))) #s(hole binary64 (+ 1 (* -9/8 (/ (pow x 2) (pow y 2))))))
#s(approx (cos (+ (/ x y) (/ (/ x y) 2))) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 27/128 (/ (pow x 2) (pow y 4))) (* 9/8 (/ 1 (pow y 2))))))))
#s(approx (cos (+ (/ x y) (/ (/ x y) 2))) #s(hole binary64 (+ 1 (* (pow x 2) (- (* (pow x 2) (+ (* -81/5120 (/ (pow x 2) (pow y 6))) (* 27/128 (/ 1 (pow y 4))))) (* 9/8 (/ 1 (pow y 2))))))))
#s(approx (+ (/ x y) (/ (/ x y) 2)) #s(hole binary64 (* 3/2 (/ x y))))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(hole binary64 (/ 1 (cos (* 1/2 (/ x y))))))
#s(approx (/ 1 (sin (+ (* (/ x y) -1/2) (/ (PI) 2)))) #s(hole binary64 (/ 1 (sin (- (* 1/2 (PI)) (* 1/2 (/ x y)))))))
#s(approx (sin (+ (* (/ x y) -1/2) (/ (PI) 2))) #s(hole binary64 (sin (- (* 1/2 (PI)) (* 1/2 (/ x y))))))
#s(approx (+ (* (/ x y) -1/2) (/ (PI) 2)) #s(hole binary64 (* -1/2 (/ x y))))
#s(approx (+ (* (/ x y) -1/2) (/ (PI) 2)) #s(hole binary64 (* x (- (* 1/2 (/ (PI) x)) (* 1/2 (/ 1 y))))))
#s(approx (+ (* (* x x) (/ 1/8 (* y y))) 1) #s(hole binary64 (* 1/8 (/ (pow x 2) (pow y 2)))))
#s(approx (+ (* (* x x) (/ 1/8 (* y y))) 1) #s(hole binary64 (* (pow x 2) (+ (/ 1 (pow x 2)) (* 1/8 (/ 1 (pow y 2)))))))
#s(approx (/ (tan (+ (PI) (/ x (* 2 y)))) (sin (/ x (* y 2)))) #s(hole binary64 (/ (sin (+ (PI) (* 1/2 (/ x y)))) (* (cos (+ (PI) (* 1/2 (/ x y)))) (sin (* 1/2 (/ x y)))))))
#s(approx (/ (+ (* (+ (* (+ (* (+ (* (+ (* (+ (* (/ -1/8 y) (/ (- (/ 1/2 y) 0) y)) (/ 1/48 (pow y 3))) y) 0) -2) (* 1/12 (/ (- (/ 1/2 y) 0) y))) x) 0) x) (* (+ (* (/ 1/2 y) y) 0) 2)) x) 0) x) #s(hole binary64 (* 1/8 (/ (pow x 2) (pow y 2)))))
#s(approx (/ (+ (* (+ (* (+ (* (+ (* (+ (* (+ (* (/ -1/8 y) (/ (- (/ 1/2 y) 0) y)) (/ 1/48 (pow y 3))) y) 0) -2) (* 1/12 (/ (- (/ 1/2 y) 0) y))) x) 0) x) (* (+ (* (/ 1/2 y) y) 0) 2)) x) 0) x) #s(hole binary64 (* (pow x 2) (+ (/ 1 (pow x 2)) (* 1/8 (/ 1 (pow y 2)))))))
#s(approx (+ (* (+ (* (+ (* (+ (* (+ (* (+ (* (/ -1/8 y) (/ (- (/ 1/2 y) 0) y)) (/ 1/48 (pow y 3))) y) 0) -2) (* 1/12 (/ (- (/ 1/2 y) 0) y))) x) 0) x) (* (+ (* (/ 1/2 y) y) 0) 2)) x) 0) #s(hole binary64 (* 1/8 (/ (pow x 3) (pow y 2)))))
#s(approx (+ (* (+ (* (+ (* (+ (* (+ (* (+ (* (/ -1/8 y) (/ (- (/ 1/2 y) 0) y)) (/ 1/48 (pow y 3))) y) 0) -2) (* 1/12 (/ (- (/ 1/2 y) 0) y))) x) 0) x) (* (+ (* (/ 1/2 y) y) 0) 2)) x) 0) #s(hole binary64 (* (pow x 3) (+ (/ 1 (pow x 2)) (* 1/8 (/ 1 (pow y 2)))))))
#s(approx (+ (* (+ (* (+ (* (+ (* (+ (* (/ -1/8 y) (/ (- (/ 1/2 y) 0) y)) (/ 1/48 (pow y 3))) y) 0) -2) (* 1/12 (/ (- (/ 1/2 y) 0) y))) x) 0) x) (* (+ (* (/ 1/2 y) y) 0) 2)) #s(hole binary64 (* 1/8 (/ (pow x 2) (pow y 2)))))
#s(approx (+ (* (+ (* (+ (* (+ (* (+ (* (/ -1/8 y) (/ (- (/ 1/2 y) 0) y)) (/ 1/48 (pow y 3))) y) 0) -2) (* 1/12 (/ (- (/ 1/2 y) 0) y))) x) 0) x) (* (+ (* (/ 1/2 y) y) 0) 2)) #s(hole binary64 (* (pow x 2) (+ (/ 1 (pow x 2)) (* 1/8 (/ 1 (pow y 2)))))))
#s(approx (/ (- 1 (cos (/ x y))) (* (sin (/ x y)) (sin (/ x (+ y y))))) #s(hole binary64 (/ (- 1 (cos (/ x y))) (* (sin (* 1/2 (/ x y))) (sin (/ x y))))))
#s(approx (- 1 (cos (/ x y))) #s(hole binary64 (- 1 (cos (/ x y)))))
#s(approx (cos (/ x y)) #s(hole binary64 (cos (/ x y))))
#s(approx (* (sin (/ x y)) (sin (/ x (+ y y)))) #s(hole binary64 (* (sin (* 1/2 (/ x y))) (sin (/ x y)))))
#s(approx (sin (/ x y)) #s(hole binary64 (sin (/ x y))))
#s(approx (sin (/ x (+ y y))) #s(hole binary64 (sin (* 1/2 (/ x y)))))
#s(approx (/ (- 1 (cos (/ x y))) (/ (- (cos (- (/ x y) (/ (/ x y) 2))) (cos (+ (/ x y) (/ (/ x y) 2)))) 2)) #s(hole binary64 (* 2 (/ (- 1 (cos (/ x y))) (- (cos (* 1/2 (/ x y))) (cos (* 3/2 (/ x y))))))))
#s(approx (/ (- (cos (- (/ x y) (/ (/ x y) 2))) (cos (+ (/ x y) (/ (/ x y) 2)))) 2) #s(hole binary64 (* 1/2 (- (cos (* 1/2 (/ x y))) (cos (* 3/2 (/ x y)))))))
#s(approx (- (cos (- (/ x y) (/ (/ x y) 2))) (cos (+ (/ x y) (/ (/ x y) 2)))) #s(hole binary64 (- (cos (* 1/2 (/ x y))) (cos (* 3/2 (/ x y))))))
#s(approx (cos (- (/ x y) (/ (/ x y) 2))) #s(hole binary64 (cos (* 1/2 (/ x y)))))
#s(approx (cos (+ (/ x y) (/ (/ x y) 2))) #s(hole binary64 (cos (* 3/2 (/ x y)))))
#s(approx (/ 1 (sin (+ (* (/ x y) -1/2) (/ (PI) 2)))) #s(hole binary64 (/ 1 (sin (+ (* -1/2 (/ x y)) (* 1/2 (PI)))))))
#s(approx (sin (+ (* (/ x y) -1/2) (/ (PI) 2))) #s(hole binary64 (sin (+ (* -1/2 (/ x y)) (* 1/2 (PI))))))
#s(approx (+ (* (/ x y) -1/2) (/ (PI) 2)) #s(hole binary64 (* -1 (* x (+ (* -1/2 (/ (PI) x)) (* 1/2 (/ 1 y)))))))
#s(approx (/ (tan (+ (PI) (/ x (* 2 y)))) (sin (/ x (* y 2)))) #s(hole binary64 (/ (sin (- (PI) (* -1/2 (/ x y)))) (* (cos (- (PI) (* -1/2 (/ x y)))) (sin (* 1/2 (/ x y)))))))
#s(approx (/ (- 1 (cos (/ x y))) (/ (- (cos (- (/ x y) (/ (/ x y) 2))) (cos (+ (/ x y) (/ (/ x y) 2)))) 2)) #s(hole binary64 (* 2 (/ (- 1 (cos (/ x y))) (- (cos (neg (* -1/2 (/ x y)))) (cos (neg (* -3/2 (/ x y)))))))))
#s(approx (/ (- (cos (- (/ x y) (/ (/ x y) 2))) (cos (+ (/ x y) (/ (/ x y) 2)))) 2) #s(hole binary64 (* 1/2 (- (cos (neg (* -1/2 (/ x y)))) (cos (neg (* -3/2 (/ x y))))))))
#s(approx (- (cos (- (/ x y) (/ (/ x y) 2))) (cos (+ (/ x y) (/ (/ x y) 2)))) #s(hole binary64 (- (cos (neg (* -1/2 (/ x y)))) (cos (neg (* -3/2 (/ x y)))))))
#s(approx (cos (- (/ x y) (/ (/ x y) 2))) #s(hole binary64 (cos (neg (* -1/2 (/ x y))))))
#s(approx (cos (+ (/ x y) (/ (/ x y) 2))) #s(hole binary64 (cos (neg (* -3/2 (/ x y))))))
#s(approx (+ (* (/ x y) -1/2) (/ (PI) 2)) #s(hole binary64 (/ (+ (* -1/2 x) (* 1/2 (* y (PI)))) y)))
#s(approx y #s(hole binary64 y))
#s(approx (+ (* (* x x) (/ 1/8 (* y y))) 1) #s(hole binary64 (/ (+ (* 1/8 (pow x 2)) (pow y 2)) (pow y 2))))
#s(approx (/ 1/8 (* y y)) #s(hole binary64 (/ 1/8 (pow y 2))))
#s(approx (* y y) #s(hole binary64 (pow y 2)))
#s(approx (/ (+ (* (+ (* (+ (* (+ (* (+ (* (+ (* (/ -1/8 y) (/ (- (/ 1/2 y) 0) y)) (/ 1/48 (pow y 3))) y) 0) -2) (* 1/12 (/ (- (/ 1/2 y) 0) y))) x) 0) x) (* (+ (* (/ 1/2 y) y) 0) 2)) x) 0) x) #s(hole binary64 (/ (+ (* 1/8 (pow x 2)) (pow y 2)) (pow y 2))))
#s(approx (+ (* (+ (* (+ (* (+ (* (+ (* (+ (* (/ -1/8 y) (/ (- (/ 1/2 y) 0) y)) (/ 1/48 (pow y 3))) y) 0) -2) (* 1/12 (/ (- (/ 1/2 y) 0) y))) x) 0) x) (* (+ (* (/ 1/2 y) y) 0) 2)) x) 0) #s(hole binary64 (/ (+ (* 1/8 (pow x 3)) (* x (pow y 2))) (pow y 2))))
#s(approx (+ (* (+ (* (+ (* (+ (* (+ (* (/ -1/8 y) (/ (- (/ 1/2 y) 0) y)) (/ 1/48 (pow y 3))) y) 0) -2) (* 1/12 (/ (- (/ 1/2 y) 0) y))) x) 0) x) (* (+ (* (/ 1/2 y) y) 0) 2)) #s(hole binary64 (/ (+ (* 1/8 (pow x 2)) (pow y 2)) (pow y 2))))
#s(approx (+ (* (+ (* (+ (* (/ -1/8 y) (/ (- (/ 1/2 y) 0) y)) (/ 1/48 (pow y 3))) y) 0) -2) (* 1/12 (/ (- (/ 1/2 y) 0) y))) #s(hole binary64 (/ 1/8 (pow y 2))))
#s(approx (+ (* (+ (* (/ -1/8 y) (/ (- (/ 1/2 y) 0) y)) (/ 1/48 (pow y 3))) y) 0) #s(hole binary64 (/ -1/24 (pow y 2))))
#s(approx (+ (* (/ -1/8 y) (/ (- (/ 1/2 y) 0) y)) (/ 1/48 (pow y 3))) #s(hole binary64 (/ -1/24 (pow y 3))))
#s(approx (/ -1/8 y) #s(hole binary64 (/ -1/8 y)))
#s(approx (/ (- (/ 1/2 y) 0) y) #s(hole binary64 (/ 1/2 (pow y 2))))
#s(approx (- (/ 1/2 y) 0) #s(hole binary64 (/ 1/2 y)))
#s(approx (/ 1/2 y) #s(hole binary64 (/ 1/2 y)))
#s(approx (/ 1/48 (pow y 3)) #s(hole binary64 (/ 1/48 (pow y 3))))
#s(approx (pow y 3) #s(hole binary64 (pow y 3)))
#s(approx (* 1/12 (/ (- (/ 1/2 y) 0) y)) #s(hole binary64 (/ 1/24 (pow y 2))))
#s(approx (* (+ (* (/ 1/2 y) y) 0) 2) #s(hole binary64 1))
#s(approx (+ (* (/ 1/2 y) y) 0) #s(hole binary64 1/2))
#s(approx (+ y y) #s(hole binary64 (* 2 y)))
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#s(approx (cos (+ (/ x y) (/ (/ x y) 2))) #s(hole binary64 (+ 1 (* -1/2 (/ (pow (+ (* -1 x) (* -1/2 x)) 2) (pow y 2))))))
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#s(approx (cos (+ (/ x y) (/ (/ x y) 2))) #s(hole binary64 (+ 1 (+ (* -1/2 (/ (pow (+ (* -1 x) (* -1/2 x)) 2) (pow y 2))) (+ (* -1/720 (/ (pow (+ (* -1 x) (* -1/2 x)) 6) (pow y 6))) (* 1/24 (/ (pow (+ (* -1 x) (* -1/2 x)) 4) (pow y 4))))))))
#s(approx (+ (/ x y) (/ (/ x y) 2)) #s(hole binary64 (* -1 (/ (+ (* -1 x) (* -1/2 x)) y))))

Calls

6 calls:

Time	Variable		Point	Expression
16.0ms	x	@	inf	((/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/ 1 (sin (+ (* (/ x y) -1/2) (/ (PI) 2)))) 1 (sin (+ (* (/ x y) -1/2) (/ (PI) 2))) (+ (* (/ x y) -1/2) (/ (PI) 2)) (/ x y) x y -1/2 (/ (PI) 2) (PI) 2 (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (+ (* (* x x) (/ 1/8 (* y y))) 1) (* x x) (/ 1/8 (* y y)) 1/8 (* y y) (/ (tan (+ (PI) (/ x (* 2 y)))) (sin (/ x (* y 2)))) (/ (+ (* (+ (* (+ (* (+ (* (+ (* (+ (* (/ -1/8 y) (/ (- (/ 1/2 y) 0) y)) (/ 1/48 (pow y 3))) y) 0) -2) (* 1/12 (/ (- (/ 1/2 y) 0) y))) x) 0) x) (* (+ (* (/ 1/2 y) y) 0) 2)) x) 0) x) (+ (* (+ (* (+ (* (+ (* (+ (* (+ (* (/ -1/8 y) (/ (- (/ 1/2 y) 0) y)) (/ 1/48 (pow y 3))) y) 0) -2) (* 1/12 (/ (- (/ 1/2 y) 0) y))) x) 0) x) (* (+ (* (/ 1/2 y) y) 0) 2)) x) 0) (+ (* (+ (* (+ (* (+ (* (+ (* (/ -1/8 y) (/ (- (/ 1/2 y) 0) y)) (/ 1/48 (pow y 3))) y) 0) -2) (* 1/12 (/ (- (/ 1/2 y) 0) y))) x) 0) x) (* (+ (* (/ 1/2 y) y) 0) 2)) (+ (* (+ (* (+ (* (+ (* (/ -1/8 y) (/ (- (/ 1/2 y) 0) y)) (/ 1/48 (pow y 3))) y) 0) -2) (* 1/12 (/ (- (/ 1/2 y) 0) y))) x) 0) (+ (* (+ (* (+ (* (/ -1/8 y) (/ (- (/ 1/2 y) 0) y)) (/ 1/48 (pow y 3))) y) 0) -2) (* 1/12 (/ (- (/ 1/2 y) 0) y))) (+ (* (+ (* (/ -1/8 y) (/ (- (/ 1/2 y) 0) y)) (/ 1/48 (pow y 3))) y) 0) (+ (* (/ -1/8 y) (/ (- (/ 1/2 y) 0) y)) (/ 1/48 (pow y 3))) (/ -1/8 y) -1/8 (/ (- (/ 1/2 y) 0) y) (- (/ 1/2 y) 0) (/ 1/2 y) 1/2 0 (/ 1/48 (pow y 3)) 1/48 (pow y 3) 3 -2 (* 1/12 (/ (- (/ 1/2 y) 0) y)) 1/12 (* (+ (* (/ 1/2 y) y) 0) 2) (+ (* (/ 1/2 y) y) 0) (/ (- 1 (cos (/ x y))) (* (sin (/ x y)) (sin (/ x (+ y y))))) (- 1 (cos (/ x y))) (cos (/ x y)) (* (sin (/ x y)) (sin (/ x (+ y y)))) (sin (/ x y)) (sin (/ x (+ y y))) (/ x (+ y y)) (+ y y) (/ (- 1 (cos (/ x y))) (/ (- (cos (- (/ x y) (/ (/ x y) 2))) (cos (+ (/ x y) (/ (/ x y) 2)))) 2)) (/ (- (cos (- (/ x y) (/ (/ x y) 2))) (cos (+ (/ x y) (/ (/ x y) 2)))) 2) (- (cos (- (/ x y) (/ (/ x y) 2))) (cos (+ (/ x y) (/ (/ x y) 2)))) (cos (- (/ x y) (/ (/ x y) 2))) (- (/ x y) (/ (/ x y) 2)) (/ (/ x y) 2) (cos (+ (/ x y) (/ (/ x y) 2))) (+ (/ x y) (/ (/ x y) 2)))
16.0ms	y	@	inf	((/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/ 1 (sin (+ (* (/ x y) -1/2) (/ (PI) 2)))) 1 (sin (+ (* (/ x y) -1/2) (/ (PI) 2))) (+ (* (/ x y) -1/2) (/ (PI) 2)) (/ x y) x y -1/2 (/ (PI) 2) (PI) 2 (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (+ (* (* x x) (/ 1/8 (* y y))) 1) (* x x) (/ 1/8 (* y y)) 1/8 (* y y) (/ (tan (+ (PI) (/ x (* 2 y)))) (sin (/ x (* y 2)))) (/ (+ (* (+ (* (+ (* (+ (* (+ (* (+ (* (/ -1/8 y) (/ (- (/ 1/2 y) 0) y)) (/ 1/48 (pow y 3))) y) 0) -2) (* 1/12 (/ (- (/ 1/2 y) 0) y))) x) 0) x) (* (+ (* (/ 1/2 y) y) 0) 2)) x) 0) x) (+ (* (+ (* (+ (* (+ (* (+ (* (+ (* (/ -1/8 y) (/ (- (/ 1/2 y) 0) y)) (/ 1/48 (pow y 3))) y) 0) -2) (* 1/12 (/ (- (/ 1/2 y) 0) y))) x) 0) x) (* (+ (* (/ 1/2 y) y) 0) 2)) x) 0) (+ (* (+ (* (+ (* (+ (* (+ (* (/ -1/8 y) (/ (- (/ 1/2 y) 0) y)) (/ 1/48 (pow y 3))) y) 0) -2) (* 1/12 (/ (- (/ 1/2 y) 0) y))) x) 0) x) (* (+ (* (/ 1/2 y) y) 0) 2)) (+ (* (+ (* (+ (* (+ (* (/ -1/8 y) (/ (- (/ 1/2 y) 0) y)) (/ 1/48 (pow y 3))) y) 0) -2) (* 1/12 (/ (- (/ 1/2 y) 0) y))) x) 0) (+ (* (+ (* (+ (* (/ -1/8 y) (/ (- (/ 1/2 y) 0) y)) (/ 1/48 (pow y 3))) y) 0) -2) (* 1/12 (/ (- (/ 1/2 y) 0) y))) (+ (* (+ (* (/ -1/8 y) (/ (- (/ 1/2 y) 0) y)) (/ 1/48 (pow y 3))) y) 0) (+ (* (/ -1/8 y) (/ (- (/ 1/2 y) 0) y)) (/ 1/48 (pow y 3))) (/ -1/8 y) -1/8 (/ (- (/ 1/2 y) 0) y) (- (/ 1/2 y) 0) (/ 1/2 y) 1/2 0 (/ 1/48 (pow y 3)) 1/48 (pow y 3) 3 -2 (* 1/12 (/ (- (/ 1/2 y) 0) y)) 1/12 (* (+ (* (/ 1/2 y) y) 0) 2) (+ (* (/ 1/2 y) y) 0) (/ (- 1 (cos (/ x y))) (* (sin (/ x y)) (sin (/ x (+ y y))))) (- 1 (cos (/ x y))) (cos (/ x y)) (* (sin (/ x y)) (sin (/ x (+ y y)))) (sin (/ x y)) (sin (/ x (+ y y))) (/ x (+ y y)) (+ y y) (/ (- 1 (cos (/ x y))) (/ (- (cos (- (/ x y) (/ (/ x y) 2))) (cos (+ (/ x y) (/ (/ x y) 2)))) 2)) (/ (- (cos (- (/ x y) (/ (/ x y) 2))) (cos (+ (/ x y) (/ (/ x y) 2)))) 2) (- (cos (- (/ x y) (/ (/ x y) 2))) (cos (+ (/ x y) (/ (/ x y) 2)))) (cos (- (/ x y) (/ (/ x y) 2))) (- (/ x y) (/ (/ x y) 2)) (/ (/ x y) 2) (cos (+ (/ x y) (/ (/ x y) 2))) (+ (/ x y) (/ (/ x y) 2)))
13.0ms	y	@	-inf	((/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/ 1 (sin (+ (* (/ x y) -1/2) (/ (PI) 2)))) 1 (sin (+ (* (/ x y) -1/2) (/ (PI) 2))) (+ (* (/ x y) -1/2) (/ (PI) 2)) (/ x y) x y -1/2 (/ (PI) 2) (PI) 2 (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (+ (* (* x x) (/ 1/8 (* y y))) 1) (* x x) (/ 1/8 (* y y)) 1/8 (* y y) (/ (tan (+ (PI) (/ x (* 2 y)))) (sin (/ x (* y 2)))) (/ (+ (* (+ (* (+ (* (+ (* (+ (* (+ (* (/ -1/8 y) (/ (- (/ 1/2 y) 0) y)) (/ 1/48 (pow y 3))) y) 0) -2) (* 1/12 (/ (- (/ 1/2 y) 0) y))) x) 0) x) (* (+ (* (/ 1/2 y) y) 0) 2)) x) 0) x) (+ (* (+ (* (+ (* (+ (* (+ (* (+ (* (/ -1/8 y) (/ (- (/ 1/2 y) 0) y)) (/ 1/48 (pow y 3))) y) 0) -2) (* 1/12 (/ (- (/ 1/2 y) 0) y))) x) 0) x) (* (+ (* (/ 1/2 y) y) 0) 2)) x) 0) (+ (* (+ (* (+ (* (+ (* (+ (* (/ -1/8 y) (/ (- (/ 1/2 y) 0) y)) (/ 1/48 (pow y 3))) y) 0) -2) (* 1/12 (/ (- (/ 1/2 y) 0) y))) x) 0) x) (* (+ (* (/ 1/2 y) y) 0) 2)) (+ (* (+ (* (+ (* (+ (* (/ -1/8 y) (/ (- (/ 1/2 y) 0) y)) (/ 1/48 (pow y 3))) y) 0) -2) (* 1/12 (/ (- (/ 1/2 y) 0) y))) x) 0) (+ (* (+ (* (+ (* (/ -1/8 y) (/ (- (/ 1/2 y) 0) y)) (/ 1/48 (pow y 3))) y) 0) -2) (* 1/12 (/ (- (/ 1/2 y) 0) y))) (+ (* (+ (* (/ -1/8 y) (/ (- (/ 1/2 y) 0) y)) (/ 1/48 (pow y 3))) y) 0) (+ (* (/ -1/8 y) (/ (- (/ 1/2 y) 0) y)) (/ 1/48 (pow y 3))) (/ -1/8 y) -1/8 (/ (- (/ 1/2 y) 0) y) (- (/ 1/2 y) 0) (/ 1/2 y) 1/2 0 (/ 1/48 (pow y 3)) 1/48 (pow y 3) 3 -2 (* 1/12 (/ (- (/ 1/2 y) 0) y)) 1/12 (* (+ (* (/ 1/2 y) y) 0) 2) (+ (* (/ 1/2 y) y) 0) (/ (- 1 (cos (/ x y))) (* (sin (/ x y)) (sin (/ x (+ y y))))) (- 1 (cos (/ x y))) (cos (/ x y)) (* (sin (/ x y)) (sin (/ x (+ y y)))) (sin (/ x y)) (sin (/ x (+ y y))) (/ x (+ y y)) (+ y y) (/ (- 1 (cos (/ x y))) (/ (- (cos (- (/ x y) (/ (/ x y) 2))) (cos (+ (/ x y) (/ (/ x y) 2)))) 2)) (/ (- (cos (- (/ x y) (/ (/ x y) 2))) (cos (+ (/ x y) (/ (/ x y) 2)))) 2) (- (cos (- (/ x y) (/ (/ x y) 2))) (cos (+ (/ x y) (/ (/ x y) 2)))) (cos (- (/ x y) (/ (/ x y) 2))) (- (/ x y) (/ (/ x y) 2)) (/ (/ x y) 2) (cos (+ (/ x y) (/ (/ x y) 2))) (+ (/ x y) (/ (/ x y) 2)))
9.0ms	y	@	0	((/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/ 1 (sin (+ (* (/ x y) -1/2) (/ (PI) 2)))) 1 (sin (+ (* (/ x y) -1/2) (/ (PI) 2))) (+ (* (/ x y) -1/2) (/ (PI) 2)) (/ x y) x y -1/2 (/ (PI) 2) (PI) 2 (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (+ (* (* x x) (/ 1/8 (* y y))) 1) (* x x) (/ 1/8 (* y y)) 1/8 (* y y) (/ (tan (+ (PI) (/ x (* 2 y)))) (sin (/ x (* y 2)))) (/ (+ (* (+ (* (+ (* (+ (* (+ (* (+ (* (/ -1/8 y) (/ (- (/ 1/2 y) 0) y)) (/ 1/48 (pow y 3))) y) 0) -2) (* 1/12 (/ (- (/ 1/2 y) 0) y))) x) 0) x) (* (+ (* (/ 1/2 y) y) 0) 2)) x) 0) x) (+ (* (+ (* (+ (* (+ (* (+ (* (+ (* (/ -1/8 y) (/ (- (/ 1/2 y) 0) y)) (/ 1/48 (pow y 3))) y) 0) -2) (* 1/12 (/ (- (/ 1/2 y) 0) y))) x) 0) x) (* (+ (* (/ 1/2 y) y) 0) 2)) x) 0) (+ (* (+ (* (+ (* (+ (* (+ (* (/ -1/8 y) (/ (- (/ 1/2 y) 0) y)) (/ 1/48 (pow y 3))) y) 0) -2) (* 1/12 (/ (- (/ 1/2 y) 0) y))) x) 0) x) (* (+ (* (/ 1/2 y) y) 0) 2)) (+ (* (+ (* (+ (* (+ (* (/ -1/8 y) (/ (- (/ 1/2 y) 0) y)) (/ 1/48 (pow y 3))) y) 0) -2) (* 1/12 (/ (- (/ 1/2 y) 0) y))) x) 0) (+ (* (+ (* (+ (* (/ -1/8 y) (/ (- (/ 1/2 y) 0) y)) (/ 1/48 (pow y 3))) y) 0) -2) (* 1/12 (/ (- (/ 1/2 y) 0) y))) (+ (* (+ (* (/ -1/8 y) (/ (- (/ 1/2 y) 0) y)) (/ 1/48 (pow y 3))) y) 0) (+ (* (/ -1/8 y) (/ (- (/ 1/2 y) 0) y)) (/ 1/48 (pow y 3))) (/ -1/8 y) -1/8 (/ (- (/ 1/2 y) 0) y) (- (/ 1/2 y) 0) (/ 1/2 y) 1/2 0 (/ 1/48 (pow y 3)) 1/48 (pow y 3) 3 -2 (* 1/12 (/ (- (/ 1/2 y) 0) y)) 1/12 (* (+ (* (/ 1/2 y) y) 0) 2) (+ (* (/ 1/2 y) y) 0) (/ (- 1 (cos (/ x y))) (* (sin (/ x y)) (sin (/ x (+ y y))))) (- 1 (cos (/ x y))) (cos (/ x y)) (* (sin (/ x y)) (sin (/ x (+ y y)))) (sin (/ x y)) (sin (/ x (+ y y))) (/ x (+ y y)) (+ y y) (/ (- 1 (cos (/ x y))) (/ (- (cos (- (/ x y) (/ (/ x y) 2))) (cos (+ (/ x y) (/ (/ x y) 2)))) 2)) (/ (- (cos (- (/ x y) (/ (/ x y) 2))) (cos (+ (/ x y) (/ (/ x y) 2)))) 2) (- (cos (- (/ x y) (/ (/ x y) 2))) (cos (+ (/ x y) (/ (/ x y) 2)))) (cos (- (/ x y) (/ (/ x y) 2))) (- (/ x y) (/ (/ x y) 2)) (/ (/ x y) 2) (cos (+ (/ x y) (/ (/ x y) 2))) (+ (/ x y) (/ (/ x y) 2)))
7.0ms	x	@	-inf	((/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/ 1 (sin (+ (* (/ x y) -1/2) (/ (PI) 2)))) 1 (sin (+ (* (/ x y) -1/2) (/ (PI) 2))) (+ (* (/ x y) -1/2) (/ (PI) 2)) (/ x y) x y -1/2 (/ (PI) 2) (PI) 2 (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (+ (* (* x x) (/ 1/8 (* y y))) 1) (* x x) (/ 1/8 (* y y)) 1/8 (* y y) (/ (tan (+ (PI) (/ x (* 2 y)))) (sin (/ x (* y 2)))) (/ (+ (* (+ (* (+ (* (+ (* (+ (* (+ (* (/ -1/8 y) (/ (- (/ 1/2 y) 0) y)) (/ 1/48 (pow y 3))) y) 0) -2) (* 1/12 (/ (- (/ 1/2 y) 0) y))) x) 0) x) (* (+ (* (/ 1/2 y) y) 0) 2)) x) 0) x) (+ (* (+ (* (+ (* (+ (* (+ (* (+ (* (/ -1/8 y) (/ (- (/ 1/2 y) 0) y)) (/ 1/48 (pow y 3))) y) 0) -2) (* 1/12 (/ (- (/ 1/2 y) 0) y))) x) 0) x) (* (+ (* (/ 1/2 y) y) 0) 2)) x) 0) (+ (* (+ (* (+ (* (+ (* (+ (* (/ -1/8 y) (/ (- (/ 1/2 y) 0) y)) (/ 1/48 (pow y 3))) y) 0) -2) (* 1/12 (/ (- (/ 1/2 y) 0) y))) x) 0) x) (* (+ (* (/ 1/2 y) y) 0) 2)) (+ (* (+ (* (+ (* (+ (* (/ -1/8 y) (/ (- (/ 1/2 y) 0) y)) (/ 1/48 (pow y 3))) y) 0) -2) (* 1/12 (/ (- (/ 1/2 y) 0) y))) x) 0) (+ (* (+ (* (+ (* (/ -1/8 y) (/ (- (/ 1/2 y) 0) y)) (/ 1/48 (pow y 3))) y) 0) -2) (* 1/12 (/ (- (/ 1/2 y) 0) y))) (+ (* (+ (* (/ -1/8 y) (/ (- (/ 1/2 y) 0) y)) (/ 1/48 (pow y 3))) y) 0) (+ (* (/ -1/8 y) (/ (- (/ 1/2 y) 0) y)) (/ 1/48 (pow y 3))) (/ -1/8 y) -1/8 (/ (- (/ 1/2 y) 0) y) (- (/ 1/2 y) 0) (/ 1/2 y) 1/2 0 (/ 1/48 (pow y 3)) 1/48 (pow y 3) 3 -2 (* 1/12 (/ (- (/ 1/2 y) 0) y)) 1/12 (* (+ (* (/ 1/2 y) y) 0) 2) (+ (* (/ 1/2 y) y) 0) (/ (- 1 (cos (/ x y))) (* (sin (/ x y)) (sin (/ x (+ y y))))) (- 1 (cos (/ x y))) (cos (/ x y)) (* (sin (/ x y)) (sin (/ x (+ y y)))) (sin (/ x y)) (sin (/ x (+ y y))) (/ x (+ y y)) (+ y y) (/ (- 1 (cos (/ x y))) (/ (- (cos (- (/ x y) (/ (/ x y) 2))) (cos (+ (/ x y) (/ (/ x y) 2)))) 2)) (/ (- (cos (- (/ x y) (/ (/ x y) 2))) (cos (+ (/ x y) (/ (/ x y) 2)))) 2) (- (cos (- (/ x y) (/ (/ x y) 2))) (cos (+ (/ x y) (/ (/ x y) 2)))) (cos (- (/ x y) (/ (/ x y) 2))) (- (/ x y) (/ (/ x y) 2)) (/ (/ x y) 2) (cos (+ (/ x y) (/ (/ x y) 2))) (+ (/ x y) (/ (/ x y) 2)))

simplify204.0ms (3.9%)

Memory

-4.4MiB live, 277.2MiB allocated; 42ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1488	11128
1	4464	10825
0	8378	10449

Stop Event

1×	iter limit
1×	node limit

Counts

222 → 222

Calls

Call 1

Inputs
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(hole binary64 1))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(hole binary64 (+ 1 (* 1/8 (/ (pow x 2) (pow y 2))))))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(hole binary64 (+ 1 (* (pow x 2) (+ (* 5/384 (/ (pow x 2) (pow y 4))) (* 1/8 (/ 1 (pow y 2))))))))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(hole 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))))))))
#s(approx (/ 1 (sin (+ (* (/ x y) -1/2) (/ (PI) 2)))) #s(hole binary64 (/ 1 (sin (* 1/2 (PI))))))
#s(approx (/ 1 (sin (+ (* (/ x y) -1/2) (/ (PI) 2)))) #s(hole binary64 (+ (* 1/2 (/ (* x (cos (* 1/2 (PI)))) (* y (pow (sin (* 1/2 (PI))) 2)))) (/ 1 (sin (* 1/2 (PI)))))))
#s(approx (/ 1 (sin (+ (* (/ x y) -1/2) (/ (PI) 2)))) #s(hole binary64 (+ (* x (- (* x (- (* 1/8 (/ 1 (* (pow y 2) (sin (* 1/2 (PI)))))) (* -1/4 (/ (pow (cos (* 1/2 (PI))) 2) (* (pow y 2) (pow (sin (* 1/2 (PI))) 3)))))) (* -1/2 (/ (cos (* 1/2 (PI))) (* y (pow (sin (* 1/2 (PI))) 2)))))) (/ 1 (sin (* 1/2 (PI)))))))
#s(approx (/ 1 (sin (+ (* (/ x y) -1/2) (/ (PI) 2)))) #s(hole binary64 (+ (* x (- (* x (- (+ (* -1 (* x (+ (* -1/2 (/ (* (cos (* 1/2 (PI))) (- (* 1/8 (/ 1 (* (pow y 2) (sin (* 1/2 (PI)))))) (* -1/4 (/ (pow (cos (* 1/2 (PI))) 2) (* (pow y 2) (pow (sin (* 1/2 (PI))) 3)))))) (* y (sin (* 1/2 (PI)))))) (+ (* -1/16 (/ (cos (* 1/2 (PI))) (* (pow y 3) (pow (sin (* 1/2 (PI))) 2)))) (* 1/48 (/ (cos (* 1/2 (PI))) (* (pow y 3) (pow (sin (* 1/2 (PI))) 2)))))))) (* 1/8 (/ 1 (* (pow y 2) (sin (* 1/2 (PI))))))) (* -1/4 (/ (pow (cos (* 1/2 (PI))) 2) (* (pow y 2) (pow (sin (* 1/2 (PI))) 3)))))) (* -1/2 (/ (cos (* 1/2 (PI))) (* y (pow (sin (* 1/2 (PI))) 2)))))) (/ 1 (sin (* 1/2 (PI)))))))
#s(approx (sin (+ (* (/ x y) -1/2) (/ (PI) 2))) #s(hole binary64 (sin (* 1/2 (PI)))))
#s(approx (sin (+ (* (/ x y) -1/2) (/ (PI) 2))) #s(hole binary64 (+ (sin (* 1/2 (PI))) (* -1/2 (/ (* x (cos (* 1/2 (PI)))) y)))))
#s(approx (sin (+ (* (/ x y) -1/2) (/ (PI) 2))) #s(hole binary64 (+ (sin (* 1/2 (PI))) (* x (+ (* -1/2 (/ (cos (* 1/2 (PI))) y)) (* -1/8 (/ (* x (sin (* 1/2 (PI)))) (pow y 2))))))))
#s(approx (sin (+ (* (/ x y) -1/2) (/ (PI) 2))) #s(hole binary64 (+ (sin (* 1/2 (PI))) (* x (+ (* -1/2 (/ (cos (* 1/2 (PI))) y)) (* x (+ (* -1/8 (/ (sin (* 1/2 (PI))) (pow y 2))) (* 1/48 (/ (* x (cos (* 1/2 (PI)))) (pow y 3))))))))))
#s(approx (+ (* (/ x y) -1/2) (/ (PI) 2)) #s(hole binary64 (* 1/2 (PI))))
#s(approx (+ (* (/ x y) -1/2) (/ (PI) 2)) #s(hole binary64 (+ (* -1/2 (/ x y)) (* 1/2 (PI)))))
#s(approx (/ x y) #s(hole binary64 (/ x y)))
#s(approx x #s(hole binary64 x))
#s(approx (+ (* (* x x) (/ 1/8 (* y y))) 1) #s(hole binary64 1))
#s(approx (+ (* (* x x) (/ 1/8 (* y y))) 1) #s(hole binary64 (+ 1 (* 1/8 (/ (pow x 2) (pow y 2))))))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx (/ (tan (+ (PI) (/ x (* 2 y)))) (sin (/ x (* y 2)))) #s(hole binary64 (* 2 (/ (* y (sin (PI))) (* x (cos (PI)))))))
#s(approx (/ (tan (+ (PI) (/ x (* 2 y)))) (sin (/ x (* y 2)))) #s(hole binary64 (/ (+ (* 2 (* x (* y (- (* 1/2 (/ 1 y)) (* -1/2 (/ (pow (sin (PI)) 2) (* y (pow (cos (PI)) 2)))))))) (* 2 (/ (* y (sin (PI))) (cos (PI))))) x)))
#s(approx (/ (tan (+ (PI) (/ x (* 2 y)))) (sin (/ x (* y 2)))) #s(hole binary64 (/ (+ (* 2 (/ (* y (sin (PI))) (cos (PI)))) (* x (+ (* 2 (* y (- (* 1/2 (/ 1 y)) (* -1/2 (/ (pow (sin (PI)) 2) (* y (pow (cos (PI)) 2))))))) (* x (- (/ (* (sin (PI)) (- (* 1/2 (/ 1 y)) (* -1/2 (/ (pow (sin (PI)) 2) (* y (pow (cos (PI)) 2)))))) (cos (PI))) (* -1/12 (/ (sin (PI)) (* y (cos (PI)))))))))) x)))
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#s(approx (/ (+ (* (+ (* (+ (* (+ (* (+ (* (+ (* (/ -1/8 y) (/ (- (/ 1/2 y) 0) y)) (/ 1/48 (pow y 3))) y) 0) -2) (* 1/12 (/ (- (/ 1/2 y) 0) y))) x) 0) x) (* (+ (* (/ 1/2 y) y) 0) 2)) x) 0) x) #s(hole binary64 1))
#s(approx (/ (+ (* (+ (* (+ (* (+ (* (+ (* (+ (* (/ -1/8 y) (/ (- (/ 1/2 y) 0) y)) (/ 1/48 (pow y 3))) y) 0) -2) (* 1/12 (/ (- (/ 1/2 y) 0) y))) x) 0) x) (* (+ (* (/ 1/2 y) y) 0) 2)) x) 0) x) #s(hole binary64 (+ 1 (* 1/8 (/ (pow x 2) (pow y 2))))))
#s(approx (+ (* (+ (* (+ (* (+ (* (+ (* (+ (* (/ -1/8 y) (/ (- (/ 1/2 y) 0) y)) (/ 1/48 (pow y 3))) y) 0) -2) (* 1/12 (/ (- (/ 1/2 y) 0) y))) x) 0) x) (* (+ (* (/ 1/2 y) y) 0) 2)) x) 0) #s(hole binary64 x))
#s(approx (+ (* (+ (* (+ (* (+ (* (+ (* (+ (* (/ -1/8 y) (/ (- (/ 1/2 y) 0) y)) (/ 1/48 (pow y 3))) y) 0) -2) (* 1/12 (/ (- (/ 1/2 y) 0) y))) x) 0) x) (* (+ (* (/ 1/2 y) y) 0) 2)) x) 0) #s(hole binary64 (* x (+ 1 (* 1/8 (/ (pow x 2) (pow y 2)))))))
#s(approx (+ (* (+ (* (+ (* (+ (* (+ (* (/ -1/8 y) (/ (- (/ 1/2 y) 0) y)) (/ 1/48 (pow y 3))) y) 0) -2) (* 1/12 (/ (- (/ 1/2 y) 0) y))) x) 0) x) (* (+ (* (/ 1/2 y) y) 0) 2)) #s(hole binary64 1))
#s(approx (+ (* (+ (* (+ (* (+ (* (+ (* (/ -1/8 y) (/ (- (/ 1/2 y) 0) y)) (/ 1/48 (pow y 3))) y) 0) -2) (* 1/12 (/ (- (/ 1/2 y) 0) y))) x) 0) x) (* (+ (* (/ 1/2 y) y) 0) 2)) #s(hole binary64 (+ 1 (* 1/8 (/ (pow x 2) (pow y 2))))))
#s(approx (+ (* (+ (* (+ (* (+ (* (/ -1/8 y) (/ (- (/ 1/2 y) 0) y)) (/ 1/48 (pow y 3))) y) 0) -2) (* 1/12 (/ (- (/ 1/2 y) 0) y))) x) 0) #s(hole binary64 (* 1/8 (/ x (pow y 2)))))
#s(approx (/ (- 1 (cos (/ x y))) (* (sin (/ x y)) (sin (/ x (+ y y))))) #s(hole binary64 1))
#s(approx (/ (- 1 (cos (/ x y))) (* (sin (/ x y)) (sin (/ x (+ y y))))) #s(hole binary64 (+ 1 (* 1/8 (/ (pow x 2) (pow y 2))))))
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#s(approx (/ (- 1 (cos (/ x y))) (* (sin (/ x y)) (sin (/ x (+ y y))))) #s(hole binary64 (+ 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))))))))
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#s(approx (- 1 (cos (/ x y))) #s(hole binary64 (* (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)))))))
#s(approx (cos (/ x y)) #s(hole binary64 1))
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#s(approx (* (sin (/ x y)) (sin (/ x (+ y y)))) #s(hole binary64 (* 1/2 (/ (pow x 2) (pow y 2)))))
#s(approx (* (sin (/ x y)) (sin (/ x (+ y y)))) #s(hole binary64 (* (pow x 2) (+ (* -5/48 (/ (pow x 2) (pow y 4))) (* 1/2 (/ 1 (pow y 2)))))))
#s(approx (* (sin (/ x y)) (sin (/ x (+ y y)))) #s(hole binary64 (* (pow x 2) (+ (* (pow x 2) (- (* 91/11520 (/ (pow x 2) (pow y 6))) (* 5/48 (/ 1 (pow y 4))))) (* 1/2 (/ 1 (pow y 2)))))))
#s(approx (* (sin (/ x y)) (sin (/ x (+ y y)))) #s(hole binary64 (* (pow x 2) (+ (* (pow x 2) (- (* (pow x 2) (+ (* -1 (* (pow x 2) (+ (* 1/645120 (/ 1 (pow y 8))) (* 17/53760 (/ 1 (pow y 8)))))) (* 91/11520 (/ 1 (pow y 6))))) (* 5/48 (/ 1 (pow y 4))))) (* 1/2 (/ 1 (pow y 2)))))))
#s(approx (sin (/ x y)) #s(hole binary64 (/ x y)))
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#s(approx (sin (/ x y)) #s(hole binary64 (* x (+ (* (pow x 2) (- (* 1/120 (/ (pow x 2) (pow y 5))) (* 1/6 (/ 1 (pow y 3))))) (/ 1 y)))))
#s(approx (sin (/ x y)) #s(hole binary64 (* 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)))))
#s(approx (sin (/ x (+ y y))) #s(hole binary64 (* 1/2 (/ x y))))
#s(approx (sin (/ x (+ y y))) #s(hole binary64 (* x (+ (* -1/48 (/ (pow x 2) (pow y 3))) (* 1/2 (/ 1 y))))))
#s(approx (sin (/ x (+ y y))) #s(hole binary64 (* x (+ (* (pow x 2) (- (* 1/3840 (/ (pow x 2) (pow y 5))) (* 1/48 (/ 1 (pow y 3))))) (* 1/2 (/ 1 y))))))
#s(approx (sin (/ x (+ y y))) #s(hole binary64 (* 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))))))
#s(approx (/ x (+ y y)) #s(hole binary64 (* 1/2 (/ x y))))
#s(approx (/ (- 1 (cos (/ x y))) (/ (- (cos (- (/ x y) (/ (/ x y) 2))) (cos (+ (/ x y) (/ (/ x y) 2)))) 2)) #s(hole binary64 1))
#s(approx (/ (- 1 (cos (/ x y))) (/ (- (cos (- (/ x y) (/ (/ x y) 2))) (cos (+ (/ x y) (/ (/ x y) 2)))) 2)) #s(hole binary64 (+ 1 (* 1/8 (/ (pow x 2) (pow y 2))))))
#s(approx (/ (- 1 (cos (/ x y))) (/ (- (cos (- (/ x y) (/ (/ x y) 2))) (cos (+ (/ x y) (/ (/ x y) 2)))) 2)) #s(hole binary64 (+ 1 (* (pow x 2) (+ (* 5/384 (/ (pow x 2) (pow y 4))) (* 1/8 (/ 1 (pow y 2))))))))
#s(approx (/ (- 1 (cos (/ x y))) (/ (- (cos (- (/ x y) (/ (/ x y) 2))) (cos (+ (/ x y) (/ (/ x y) 2)))) 2)) #s(hole 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))))))))
#s(approx (/ (- (cos (- (/ x y) (/ (/ x y) 2))) (cos (+ (/ x y) (/ (/ x y) 2)))) 2) #s(hole binary64 (* 1/2 (/ (pow x 2) (pow y 2)))))
#s(approx (/ (- (cos (- (/ x y) (/ (/ x y) 2))) (cos (+ (/ x y) (/ (/ x y) 2)))) 2) #s(hole binary64 (* (pow x 2) (+ (* -5/48 (/ (pow x 2) (pow y 4))) (* 1/2 (/ 1 (pow y 2)))))))
#s(approx (/ (- (cos (- (/ x y) (/ (/ x y) 2))) (cos (+ (/ x y) (/ (/ x y) 2)))) 2) #s(hole binary64 (* (pow x 2) (+ (* (pow x 2) (- (* 91/11520 (/ (pow x 2) (pow y 6))) (* 5/48 (/ 1 (pow y 4))))) (* 1/2 (/ 1 (pow y 2)))))))
#s(approx (/ (- (cos (- (/ x y) (/ (/ x y) 2))) (cos (+ (/ x y) (/ (/ x y) 2)))) 2) #s(hole binary64 (* (pow x 2) (+ (* (pow x 2) (- (* (pow x 2) (+ (* -41/129024 (/ (pow x 2) (pow y 8))) (* 91/11520 (/ 1 (pow y 6))))) (* 5/48 (/ 1 (pow y 4))))) (* 1/2 (/ 1 (pow y 2)))))))
#s(approx (- (cos (- (/ x y) (/ (/ x y) 2))) (cos (+ (/ x y) (/ (/ x y) 2)))) #s(hole binary64 (/ (pow x 2) (pow y 2))))
#s(approx (- (cos (- (/ x y) (/ (/ x y) 2))) (cos (+ (/ x y) (/ (/ x y) 2)))) #s(hole binary64 (* (pow x 2) (+ (* -5/24 (/ (pow x 2) (pow y 4))) (/ 1 (pow y 2))))))
#s(approx (- (cos (- (/ x y) (/ (/ x y) 2))) (cos (+ (/ x y) (/ (/ x y) 2)))) #s(hole binary64 (* (pow x 2) (+ (* (pow x 2) (- (* 91/5760 (/ (pow x 2) (pow y 6))) (* 5/24 (/ 1 (pow y 4))))) (/ 1 (pow y 2))))))
#s(approx (- (cos (- (/ x y) (/ (/ x y) 2))) (cos (+ (/ x y) (/ (/ x y) 2)))) #s(hole binary64 (* (pow x 2) (+ (* (pow x 2) (- (* (pow x 2) (+ (* -41/64512 (/ (pow x 2) (pow y 8))) (* 91/5760 (/ 1 (pow y 6))))) (* 5/24 (/ 1 (pow y 4))))) (/ 1 (pow y 2))))))
#s(approx (cos (- (/ x y) (/ (/ x y) 2))) #s(hole binary64 1))
#s(approx (cos (- (/ x y) (/ (/ x y) 2))) #s(hole binary64 (+ 1 (* -1/8 (/ (pow x 2) (pow y 2))))))
#s(approx (cos (- (/ x y) (/ (/ x y) 2))) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 1/384 (/ (pow x 2) (pow y 4))) (* 1/8 (/ 1 (pow y 2))))))))
#s(approx (cos (- (/ x y) (/ (/ x y) 2))) #s(hole 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))))))))
#s(approx (- (/ x y) (/ (/ x y) 2)) #s(hole binary64 (* 1/2 (/ x y))))
#s(approx (/ (/ x y) 2) #s(hole binary64 (* 1/2 (/ x y))))
#s(approx (cos (+ (/ x y) (/ (/ x y) 2))) #s(hole binary64 1))
#s(approx (cos (+ (/ x y) (/ (/ x y) 2))) #s(hole binary64 (+ 1 (* -9/8 (/ (pow x 2) (pow y 2))))))
#s(approx (cos (+ (/ x y) (/ (/ x y) 2))) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 27/128 (/ (pow x 2) (pow y 4))) (* 9/8 (/ 1 (pow y 2))))))))
#s(approx (cos (+ (/ x y) (/ (/ x y) 2))) #s(hole binary64 (+ 1 (* (pow x 2) (- (* (pow x 2) (+ (* -81/5120 (/ (pow x 2) (pow y 6))) (* 27/128 (/ 1 (pow y 4))))) (* 9/8 (/ 1 (pow y 2))))))))
#s(approx (+ (/ x y) (/ (/ x y) 2)) #s(hole binary64 (* 3/2 (/ x y))))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(hole binary64 (/ 1 (cos (* 1/2 (/ x y))))))
#s(approx (/ 1 (sin (+ (* (/ x y) -1/2) (/ (PI) 2)))) #s(hole binary64 (/ 1 (sin (- (* 1/2 (PI)) (* 1/2 (/ x y)))))))
#s(approx (sin (+ (* (/ x y) -1/2) (/ (PI) 2))) #s(hole binary64 (sin (- (* 1/2 (PI)) (* 1/2 (/ x y))))))
#s(approx (+ (* (/ x y) -1/2) (/ (PI) 2)) #s(hole binary64 (* -1/2 (/ x y))))
#s(approx (+ (* (/ x y) -1/2) (/ (PI) 2)) #s(hole binary64 (* x (- (* 1/2 (/ (PI) x)) (* 1/2 (/ 1 y))))))
#s(approx (+ (* (* x x) (/ 1/8 (* y y))) 1) #s(hole binary64 (* 1/8 (/ (pow x 2) (pow y 2)))))
#s(approx (+ (* (* x x) (/ 1/8 (* y y))) 1) #s(hole binary64 (* (pow x 2) (+ (/ 1 (pow x 2)) (* 1/8 (/ 1 (pow y 2)))))))
#s(approx (/ (tan (+ (PI) (/ x (* 2 y)))) (sin (/ x (* y 2)))) #s(hole binary64 (/ (sin (+ (PI) (* 1/2 (/ x y)))) (* (cos (+ (PI) (* 1/2 (/ x y)))) (sin (* 1/2 (/ x y)))))))
#s(approx (/ (+ (* (+ (* (+ (* (+ (* (+ (* (+ (* (/ -1/8 y) (/ (- (/ 1/2 y) 0) y)) (/ 1/48 (pow y 3))) y) 0) -2) (* 1/12 (/ (- (/ 1/2 y) 0) y))) x) 0) x) (* (+ (* (/ 1/2 y) y) 0) 2)) x) 0) x) #s(hole binary64 (* 1/8 (/ (pow x 2) (pow y 2)))))
#s(approx (/ (+ (* (+ (* (+ (* (+ (* (+ (* (+ (* (/ -1/8 y) (/ (- (/ 1/2 y) 0) y)) (/ 1/48 (pow y 3))) y) 0) -2) (* 1/12 (/ (- (/ 1/2 y) 0) y))) x) 0) x) (* (+ (* (/ 1/2 y) y) 0) 2)) x) 0) x) #s(hole binary64 (* (pow x 2) (+ (/ 1 (pow x 2)) (* 1/8 (/ 1 (pow y 2)))))))
#s(approx (+ (* (+ (* (+ (* (+ (* (+ (* (+ (* (/ -1/8 y) (/ (- (/ 1/2 y) 0) y)) (/ 1/48 (pow y 3))) y) 0) -2) (* 1/12 (/ (- (/ 1/2 y) 0) y))) x) 0) x) (* (+ (* (/ 1/2 y) y) 0) 2)) x) 0) #s(hole binary64 (* 1/8 (/ (pow x 3) (pow y 2)))))
#s(approx (+ (* (+ (* (+ (* (+ (* (+ (* (+ (* (/ -1/8 y) (/ (- (/ 1/2 y) 0) y)) (/ 1/48 (pow y 3))) y) 0) -2) (* 1/12 (/ (- (/ 1/2 y) 0) y))) x) 0) x) (* (+ (* (/ 1/2 y) y) 0) 2)) x) 0) #s(hole binary64 (* (pow x 3) (+ (/ 1 (pow x 2)) (* 1/8 (/ 1 (pow y 2)))))))
#s(approx (+ (* (+ (* (+ (* (+ (* (+ (* (/ -1/8 y) (/ (- (/ 1/2 y) 0) y)) (/ 1/48 (pow y 3))) y) 0) -2) (* 1/12 (/ (- (/ 1/2 y) 0) y))) x) 0) x) (* (+ (* (/ 1/2 y) y) 0) 2)) #s(hole binary64 (* 1/8 (/ (pow x 2) (pow y 2)))))
#s(approx (+ (* (+ (* (+ (* (+ (* (+ (* (/ -1/8 y) (/ (- (/ 1/2 y) 0) y)) (/ 1/48 (pow y 3))) y) 0) -2) (* 1/12 (/ (- (/ 1/2 y) 0) y))) x) 0) x) (* (+ (* (/ 1/2 y) y) 0) 2)) #s(hole binary64 (* (pow x 2) (+ (/ 1 (pow x 2)) (* 1/8 (/ 1 (pow y 2)))))))
#s(approx (/ (- 1 (cos (/ x y))) (* (sin (/ x y)) (sin (/ x (+ y y))))) #s(hole binary64 (/ (- 1 (cos (/ x y))) (* (sin (* 1/2 (/ x y))) (sin (/ x y))))))
#s(approx (- 1 (cos (/ x y))) #s(hole binary64 (- 1 (cos (/ x y)))))
#s(approx (cos (/ x y)) #s(hole binary64 (cos (/ x y))))
#s(approx (* (sin (/ x y)) (sin (/ x (+ y y)))) #s(hole binary64 (* (sin (* 1/2 (/ x y))) (sin (/ x y)))))
#s(approx (sin (/ x y)) #s(hole binary64 (sin (/ x y))))
#s(approx (sin (/ x (+ y y))) #s(hole binary64 (sin (* 1/2 (/ x y)))))
#s(approx (/ (- 1 (cos (/ x y))) (/ (- (cos (- (/ x y) (/ (/ x y) 2))) (cos (+ (/ x y) (/ (/ x y) 2)))) 2)) #s(hole binary64 (* 2 (/ (- 1 (cos (/ x y))) (- (cos (* 1/2 (/ x y))) (cos (* 3/2 (/ x y))))))))
#s(approx (/ (- (cos (- (/ x y) (/ (/ x y) 2))) (cos (+ (/ x y) (/ (/ x y) 2)))) 2) #s(hole binary64 (* 1/2 (- (cos (* 1/2 (/ x y))) (cos (* 3/2 (/ x y)))))))
#s(approx (- (cos (- (/ x y) (/ (/ x y) 2))) (cos (+ (/ x y) (/ (/ x y) 2)))) #s(hole binary64 (- (cos (* 1/2 (/ x y))) (cos (* 3/2 (/ x y))))))
#s(approx (cos (- (/ x y) (/ (/ x y) 2))) #s(hole binary64 (cos (* 1/2 (/ x y)))))
#s(approx (cos (+ (/ x y) (/ (/ x y) 2))) #s(hole binary64 (cos (* 3/2 (/ x y)))))
#s(approx (/ 1 (sin (+ (* (/ x y) -1/2) (/ (PI) 2)))) #s(hole binary64 (/ 1 (sin (+ (* -1/2 (/ x y)) (* 1/2 (PI)))))))
#s(approx (sin (+ (* (/ x y) -1/2) (/ (PI) 2))) #s(hole binary64 (sin (+ (* -1/2 (/ x y)) (* 1/2 (PI))))))
#s(approx (+ (* (/ x y) -1/2) (/ (PI) 2)) #s(hole binary64 (* -1 (* x (+ (* -1/2 (/ (PI) x)) (* 1/2 (/ 1 y)))))))
#s(approx (/ (tan (+ (PI) (/ x (* 2 y)))) (sin (/ x (* y 2)))) #s(hole binary64 (/ (sin (- (PI) (* -1/2 (/ x y)))) (* (cos (- (PI) (* -1/2 (/ x y)))) (sin (* 1/2 (/ x y)))))))
#s(approx (/ (- 1 (cos (/ x y))) (/ (- (cos (- (/ x y) (/ (/ x y) 2))) (cos (+ (/ x y) (/ (/ x y) 2)))) 2)) #s(hole binary64 (* 2 (/ (- 1 (cos (/ x y))) (- (cos (neg (* -1/2 (/ x y)))) (cos (neg (* -3/2 (/ x y)))))))))
#s(approx (/ (- (cos (- (/ x y) (/ (/ x y) 2))) (cos (+ (/ x y) (/ (/ x y) 2)))) 2) #s(hole binary64 (* 1/2 (- (cos (neg (* -1/2 (/ x y)))) (cos (neg (* -3/2 (/ x y))))))))
#s(approx (- (cos (- (/ x y) (/ (/ x y) 2))) (cos (+ (/ x y) (/ (/ x y) 2)))) #s(hole binary64 (- (cos (neg (* -1/2 (/ x y)))) (cos (neg (* -3/2 (/ x y)))))))
#s(approx (cos (- (/ x y) (/ (/ x y) 2))) #s(hole binary64 (cos (neg (* -1/2 (/ x y))))))
#s(approx (cos (+ (/ x y) (/ (/ x y) 2))) #s(hole binary64 (cos (neg (* -3/2 (/ x y))))))
#s(approx (+ (* (/ x y) -1/2) (/ (PI) 2)) #s(hole binary64 (/ (+ (* -1/2 x) (* 1/2 (* y (PI)))) y)))
#s(approx y #s(hole binary64 y))
#s(approx (+ (* (* x x) (/ 1/8 (* y y))) 1) #s(hole binary64 (/ (+ (* 1/8 (pow x 2)) (pow y 2)) (pow y 2))))
#s(approx (/ 1/8 (* y y)) #s(hole binary64 (/ 1/8 (pow y 2))))
#s(approx (* y y) #s(hole binary64 (pow y 2)))
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#s(approx (+ (* (+ (* (+ (* (+ (* (+ (* (+ (* (/ -1/8 y) (/ (- (/ 1/2 y) 0) y)) (/ 1/48 (pow y 3))) y) 0) -2) (* 1/12 (/ (- (/ 1/2 y) 0) y))) x) 0) x) (* (+ (* (/ 1/2 y) y) 0) 2)) x) 0) #s(hole binary64 (/ (+ (* 1/8 (pow x 3)) (* x (pow y 2))) (pow y 2))))
#s(approx (+ (* (+ (* (+ (* (+ (* (+ (* (/ -1/8 y) (/ (- (/ 1/2 y) 0) y)) (/ 1/48 (pow y 3))) y) 0) -2) (* 1/12 (/ (- (/ 1/2 y) 0) y))) x) 0) x) (* (+ (* (/ 1/2 y) y) 0) 2)) #s(hole binary64 (/ (+ (* 1/8 (pow x 2)) (pow y 2)) (pow y 2))))
#s(approx (+ (* (+ (* (+ (* (/ -1/8 y) (/ (- (/ 1/2 y) 0) y)) (/ 1/48 (pow y 3))) y) 0) -2) (* 1/12 (/ (- (/ 1/2 y) 0) y))) #s(hole binary64 (/ 1/8 (pow y 2))))
#s(approx (+ (* (+ (* (/ -1/8 y) (/ (- (/ 1/2 y) 0) y)) (/ 1/48 (pow y 3))) y) 0) #s(hole binary64 (/ -1/24 (pow y 2))))
#s(approx (+ (* (/ -1/8 y) (/ (- (/ 1/2 y) 0) y)) (/ 1/48 (pow y 3))) #s(hole binary64 (/ -1/24 (pow y 3))))
#s(approx (/ -1/8 y) #s(hole binary64 (/ -1/8 y)))
#s(approx (/ (- (/ 1/2 y) 0) y) #s(hole binary64 (/ 1/2 (pow y 2))))
#s(approx (- (/ 1/2 y) 0) #s(hole binary64 (/ 1/2 y)))
#s(approx (/ 1/2 y) #s(hole binary64 (/ 1/2 y)))
#s(approx (/ 1/48 (pow y 3)) #s(hole binary64 (/ 1/48 (pow y 3))))
#s(approx (pow y 3) #s(hole binary64 (pow y 3)))
#s(approx (* 1/12 (/ (- (/ 1/2 y) 0) y)) #s(hole binary64 (/ 1/24 (pow y 2))))
#s(approx (* (+ (* (/ 1/2 y) y) 0) 2) #s(hole binary64 1))
#s(approx (+ (* (/ 1/2 y) y) 0) #s(hole binary64 1/2))
#s(approx (+ y y) #s(hole binary64 (* 2 y)))
#s(approx (/ (- 1 (cos (/ x y))) (/ (- (cos (- (/ x y) (/ (/ x y) 2))) (cos (+ (/ x y) (/ (/ x y) 2)))) 2)) #s(hole binary64 (* 2 (/ (- 1 (cos (/ x y))) (- (cos (- (/ x y) (* 1/2 (/ x y)))) (cos (+ (* 1/2 (/ x y)) (/ x y))))))))
#s(approx (/ (- (cos (- (/ x y) (/ (/ x y) 2))) (cos (+ (/ x y) (/ (/ x y) 2)))) 2) #s(hole binary64 (* 1/2 (- (cos (- (/ x y) (* 1/2 (/ x y)))) (cos (+ (* 1/2 (/ x y)) (/ x y)))))))
#s(approx (- (cos (- (/ x y) (/ (/ x y) 2))) (cos (+ (/ x y) (/ (/ x y) 2)))) #s(hole binary64 (- (cos (- (/ x y) (* 1/2 (/ x y)))) (cos (+ (* 1/2 (/ x y)) (/ x y))))))
#s(approx (cos (- (/ x y) (/ (/ x y) 2))) #s(hole binary64 (cos (- (/ x y) (* 1/2 (/ x y))))))
#s(approx (- (/ x y) (/ (/ x y) 2)) #s(hole binary64 (/ (- x (* 1/2 x)) y)))
#s(approx (cos (+ (/ x y) (/ (/ x y) 2))) #s(hole binary64 (cos (+ (* 1/2 (/ x y)) (/ x y)))))
#s(approx (+ (/ x y) (/ (/ x y) 2)) #s(hole binary64 (/ (+ x (* 1/2 x)) y)))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(hole binary64 (- (+ 1 (* 2 (/ (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3))) (* x (pow y 2))))) (* -1/24 (/ (pow x 2) (pow y 2))))))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(hole binary64 (- (+ 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))))))))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(hole binary64 (- (+ 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)))))))))))
#s(approx (/ 1 (sin (+ (* (/ x y) -1/2) (/ (PI) 2)))) #s(hole binary64 (- (+ (* -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)))))))
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#s(approx (/ (- (cos (- (/ x y) (/ (/ x y) 2))) (cos (+ (/ x y) (/ (/ x y) 2)))) 2) #s(hole binary64 (* 1/2 (/ (- (* -1/2 (pow (- (* -1 x) (* -1/2 x)) 2)) (* -1/2 (pow (+ (* -1 x) (* -1/2 x)) 2))) (pow y 2)))))
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#s(approx (+ (/ x y) (/ (/ x y) 2)) #s(hole binary64 (* -1 (/ (+ (* -1 x) (* -1/2 x)) y))))

Outputs
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(hole binary64 1))
#s(approx (/ (- 1 (cos (/ x y))) (* (sin (/ x y)) (sin (/ x (+ y y))))) #s(literal 1 binary64))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(hole binary64 (+ 1 (* 1/8 (/ (pow x 2) (pow y 2))))))
#s(approx (/ (- 1 (cos (/ x y))) (* (sin (/ x y)) (sin (/ x (+ y y))))) (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)))) #s(hole binary64 (+ 1 (* (pow x 2) (+ (* 5/384 (/ (pow x 2) (pow y 4))) (* 1/8 (/ 1 (pow y 2))))))))
#s(approx (/ (- 1 (cos (/ x y))) (* (sin (/ x y)) (sin (/ x (+ y y))))) (fma.f64 (fma.f64 (/.f64 (.f64 x x) (pow.f64 y #s(literal 4 binary64))) #s(literal 5/384 binary64) (/.f64 #s(literal 1/8 binary64) (.f64 y y))) (*.f64 x x) #s(literal 1 binary64)))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(hole 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))))))))
#s(approx (/ (- 1 (cos (/ x y))) (* (sin (/ x y)) (sin (/ x (+ y y))))) (fma.f64 (fma.f64 (fma.f64 (/.f64 (.f64 x x) (pow.f64 y #s(literal 6 binary64))) #s(literal 61/46080 binary64) (/.f64 #s(literal 5/384 binary64) (pow.f64 y #s(literal 4 binary64)))) (.f64 x x) (/.f64 #s(literal 1/8 binary64) (.f64 y y))) (.f64 x x) #s(literal 1 binary64)))
#s(approx (/ 1 (sin (+ (* (/ x y) -1/2) (/ (PI) 2)))) #s(hole binary64 (/ 1 (sin (* 1/2 (PI))))))
#s(approx (/ 1 (sin (+ (* (/ x y) -1/2) (/ (PI) 2)))) (/.f64 #s(literal 1 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)))))
#s(approx (/ 1 (sin (+ (* (/ x y) -1/2) (/ (PI) 2)))) #s(hole binary64 (+ (* 1/2 (/ (* x (cos (* 1/2 (PI)))) (* y (pow (sin (* 1/2 (PI))) 2)))) (/ 1 (sin (* 1/2 (PI)))))))
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#s(approx (+ (/ x y) (/ (/ x y) 2)) #s(hole binary64 (* -1 (/ (+ (* -1 x) (* -1/2 x)) y))))
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rewrite66.0ms (1.3%)

Memory

28.5MiB live, 118.9MiB allocated; 13ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	69	640
0	120	550
0	533	550

Stop Event

1×	iter limit
1×	iter limit
1×	iter limit
1×	unsound
1×	iter limit

Counts

58 → 204

Calls

Call 1

Inputs
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (sin.f64 (fma.f64 (/.f64 x y) #s(literal -1/2 binary64) (/.f64 (PI.f64) #s(literal 2 binary64))))))
(/.f64 #s(literal 1 binary64) (sin.f64 (fma.f64 (/.f64 x y) #s(literal -1/2 binary64) (/.f64 (PI.f64) #s(literal 2 binary64)))))
#s(literal 1 binary64)
(sin.f64 (fma.f64 (/.f64 x y) #s(literal -1/2 binary64) (/.f64 (PI.f64) #s(literal 2 binary64))))
(fma.f64 (/.f64 x y) #s(literal -1/2 binary64) (/.f64 (PI.f64) #s(literal 2 binary64)))
(/.f64 x y)
x
y
#s(literal -1/2 binary64)
(/.f64 (PI.f64) #s(literal 2 binary64))
(PI.f64)
#s(literal 2 binary64)
#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))
#s(literal 1/8 binary64)
(*.f64 y y)
#s(approx (/ (tan (+ (PI) (/ x (* 2 y)))) (sin (/ x (* y 2)))) (/.f64 (fma.f64 (fma.f64 (fma.f64 (fma.f64 (fma.f64 (fma.f64 (/.f64 #s(literal -1/8 binary64) y) (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 0 binary64)) y) (/.f64 #s(literal 1/48 binary64) (pow.f64 y #s(literal 3 binary64)))) y #s(literal 0 binary64)) #s(literal -2 binary64) (.f64 #s(literal 1/12 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 0 binary64)) y))) x #s(literal 0 binary64)) x (.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) y) y #s(literal 0 binary64)) #s(literal 2 binary64))) x #s(literal 0 binary64)) x))
(/.f64 (fma.f64 (fma.f64 (fma.f64 (fma.f64 (fma.f64 (fma.f64 (/.f64 #s(literal -1/8 binary64) y) (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 0 binary64)) y) (/.f64 #s(literal 1/48 binary64) (pow.f64 y #s(literal 3 binary64)))) y #s(literal 0 binary64)) #s(literal -2 binary64) (.f64 #s(literal 1/12 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 0 binary64)) y))) x #s(literal 0 binary64)) x (.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) y) y #s(literal 0 binary64)) #s(literal 2 binary64))) x #s(literal 0 binary64)) x)
(fma.f64 (fma.f64 (fma.f64 (fma.f64 (fma.f64 (fma.f64 (/.f64 #s(literal -1/8 binary64) y) (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 0 binary64)) y) (/.f64 #s(literal 1/48 binary64) (pow.f64 y #s(literal 3 binary64)))) y #s(literal 0 binary64)) #s(literal -2 binary64) (.f64 #s(literal 1/12 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 0 binary64)) y))) x #s(literal 0 binary64)) x (.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) y) y #s(literal 0 binary64)) #s(literal 2 binary64))) x #s(literal 0 binary64))
(fma.f64 (fma.f64 (fma.f64 (fma.f64 (fma.f64 (/.f64 #s(literal -1/8 binary64) y) (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 0 binary64)) y) (/.f64 #s(literal 1/48 binary64) (pow.f64 y #s(literal 3 binary64)))) y #s(literal 0 binary64)) #s(literal -2 binary64) (.f64 #s(literal 1/12 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 0 binary64)) y))) x #s(literal 0 binary64)) x (.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) y) y #s(literal 0 binary64)) #s(literal 2 binary64)))
(fma.f64 (fma.f64 (fma.f64 (fma.f64 (/.f64 #s(literal -1/8 binary64) y) (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 0 binary64)) y) (/.f64 #s(literal 1/48 binary64) (pow.f64 y #s(literal 3 binary64)))) y #s(literal 0 binary64)) #s(literal -2 binary64) (*.f64 #s(literal 1/12 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 0 binary64)) y))) x #s(literal 0 binary64))
(fma.f64 (fma.f64 (fma.f64 (/.f64 #s(literal -1/8 binary64) y) (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 0 binary64)) y) (/.f64 #s(literal 1/48 binary64) (pow.f64 y #s(literal 3 binary64)))) y #s(literal 0 binary64)) #s(literal -2 binary64) (*.f64 #s(literal 1/12 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 0 binary64)) y)))
(fma.f64 (fma.f64 (/.f64 #s(literal -1/8 binary64) y) (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 0 binary64)) y) (/.f64 #s(literal 1/48 binary64) (pow.f64 y #s(literal 3 binary64)))) y #s(literal 0 binary64))
(fma.f64 (/.f64 #s(literal -1/8 binary64) y) (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 0 binary64)) y) (/.f64 #s(literal 1/48 binary64) (pow.f64 y #s(literal 3 binary64))))
(/.f64 #s(literal -1/8 binary64) y)
#s(literal -1/8 binary64)
(/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 0 binary64)) y)
(-.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 0 binary64))
(/.f64 #s(literal 1/2 binary64) y)
#s(literal 1/2 binary64)
#s(literal 0 binary64)
(/.f64 #s(literal 1/48 binary64) (pow.f64 y #s(literal 3 binary64)))
#s(literal 1/48 binary64)
(pow.f64 y #s(literal 3 binary64))
#s(literal 3 binary64)
#s(literal -2 binary64)
(*.f64 #s(literal 1/12 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 0 binary64)) y))
#s(literal 1/12 binary64)
(*.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) y) y #s(literal 0 binary64)) #s(literal 2 binary64))
(fma.f64 (/.f64 #s(literal 1/2 binary64) y) y #s(literal 0 binary64))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x y))) (*.f64 (sin.f64 (/.f64 x y)) (sin.f64 (/.f64 x (+.f64 y y)))))
(-.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x y)))
(cos.f64 (/.f64 x y))
(*.f64 (sin.f64 (/.f64 x y)) (sin.f64 (/.f64 x (+.f64 y y))))
(sin.f64 (/.f64 x y))
(sin.f64 (/.f64 x (+.f64 y y)))
(/.f64 x (+.f64 y y))
(+.f64 y y)
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x y))) (/.f64 (-.f64 (cos.f64 (-.f64 (/.f64 x y) (/.f64 (/.f64 x y) #s(literal 2 binary64)))) (cos.f64 (+.f64 (/.f64 x y) (/.f64 (/.f64 x y) #s(literal 2 binary64))))) #s(literal 2 binary64)))
(/.f64 (-.f64 (cos.f64 (-.f64 (/.f64 x y) (/.f64 (/.f64 x y) #s(literal 2 binary64)))) (cos.f64 (+.f64 (/.f64 x y) (/.f64 (/.f64 x y) #s(literal 2 binary64))))) #s(literal 2 binary64))
(-.f64 (cos.f64 (-.f64 (/.f64 x y) (/.f64 (/.f64 x y) #s(literal 2 binary64)))) (cos.f64 (+.f64 (/.f64 x y) (/.f64 (/.f64 x y) #s(literal 2 binary64)))))
(cos.f64 (-.f64 (/.f64 x y) (/.f64 (/.f64 x y) #s(literal 2 binary64))))
(-.f64 (/.f64 x y) (/.f64 (/.f64 x y) #s(literal 2 binary64)))
(/.f64 (/.f64 x y) #s(literal 2 binary64))
(cos.f64 (+.f64 (/.f64 x y) (/.f64 (/.f64 x y) #s(literal 2 binary64))))
(+.f64 (/.f64 x y) (/.f64 (/.f64 x y) #s(literal 2 binary64)))

Outputs
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y))) #s(literal -1 binary64)))
(pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y))) #s(literal -1 binary64))
(/.f64 #s(literal -1 binary64) (neg.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y)))))
(/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y))))
#s(literal 1 binary64)
(fma.f64 (sin.f64 (.f64 #s(literal -1/2 binary64) (/.f64 x y))) (cos.f64 (/.f64 (PI.f64) #s(literal 2 binary64))) (.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y))) (sin.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))))
(sin.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 x y) (/.f64 (PI.f64) #s(literal 2 binary64))))
(cos.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y)))
(+.f64 (.f64 (sin.f64 (.f64 #s(literal -1/2 binary64) (/.f64 x y))) (cos.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))) (.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) (/.f64 x y))) (sin.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))))
(/.f64 (-.f64 (.f64 (.f64 #s(literal -1/2 binary64) (/.f64 x y)) (.f64 #s(literal -1/2 binary64) (/.f64 x y))) (.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64)))) (-.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y)) (/.f64 (PI.f64) #s(literal 2 binary64))))
(/.f64 (+.f64 (pow.f64 (.f64 #s(literal -1/2 binary64) (/.f64 x y)) #s(literal 3 binary64)) (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64))) (fma.f64 (.f64 #s(literal -1/2 binary64) (/.f64 x y)) (.f64 #s(literal -1/2 binary64) (/.f64 x y)) (-.f64 (.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64))) (.f64 (.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)))
(fma.f64 (/.f64 x y) #s(literal -1/2 binary64) (/.f64 (PI.f64) #s(literal 2 binary64)))
(+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y)) (/.f64 (PI.f64) #s(literal 2 binary64)))
(+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal -1/2 binary64) (/.f64 x y)))
(/.f64 (neg.f64 x) (neg.f64 y))
(/.f64 x y)
x
y
#s(literal -1/2 binary64)
(/.f64 (neg.f64 (PI.f64)) #s(literal -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)))) (fma.f64 (/.f64 #s(literal 1/8 binary64) (.f64 y y)) (.f64 x x) #s(literal 1 binary64)))
(/.f64 (-.f64 (.f64 (.f64 (/.f64 #s(literal 1/8 binary64) (.f64 y y)) (.f64 x x)) (.f64 (/.f64 #s(literal 1/8 binary64) (.f64 y y)) (.f64 x x))) #s(literal 1 binary64)) (-.f64 (.f64 (/.f64 #s(literal 1/8 binary64) (.f64 y y)) (.f64 x x)) #s(literal 1 binary64)))
(/.f64 (+.f64 (pow.f64 (.f64 (/.f64 #s(literal 1/8 binary64) (.f64 y y)) (.f64 x x)) #s(literal 3 binary64)) #s(literal 1 binary64)) (fma.f64 (.f64 (/.f64 #s(literal 1/8 binary64) (.f64 y y)) (.f64 x x)) (.f64 (/.f64 #s(literal 1/8 binary64) (.f64 y y)) (.f64 x x)) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1/8 binary64) (.f64 y y)) (*.f64 x x)) #s(literal 1 binary64)))))
(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 x (.f64 x (/.f64 #s(literal 1/8 binary64) (.f64 y y))) #s(literal 1 binary64))
(+.f64 (.f64 (/.f64 #s(literal 1/8 binary64) (.f64 y y)) (*.f64 x x)) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal 1/8 binary64) (.f64 y y)) (*.f64 x x)))
(*.f64 (neg.f64 x) (neg.f64 x))
(*.f64 (fabs.f64 x) (fabs.f64 x))
(*.f64 x x)
(pow.f64 x #s(literal 2 binary64))
(/.f64 (/.f64 #s(literal 1/8 binary64) y) y)
(/.f64 #s(literal -1/8 binary64) (neg.f64 (*.f64 y y)))
(/.f64 #s(literal 1/8 binary64) (*.f64 y y))
#s(literal 1/8 binary64)
(*.f64 (neg.f64 y) (neg.f64 y))
(*.f64 (fabs.f64 y) (fabs.f64 y))
(*.f64 y y)
(pow.f64 y #s(literal 2 binary64))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 (.f64 (fma.f64 (.f64 (fma.f64 (.f64 (fma.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) y) y) (/.f64 #s(literal -1/8 binary64) y) (/.f64 #s(literal 1/48 binary64) (pow.f64 y #s(literal 3 binary64)))) y) #s(literal -2 binary64) (.f64 #s(literal 1/12 binary64) (/.f64 (/.f64 #s(literal 1/2 binary64) y) y))) x) x (.f64 (.f64 (/.f64 #s(literal 1/2 binary64) y) y) #s(literal 2 binary64))) x) x))
(/.f64 (neg.f64 (.f64 (fma.f64 (.f64 (fma.f64 (.f64 (fma.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) y) y) (/.f64 #s(literal -1/8 binary64) y) (/.f64 #s(literal 1/48 binary64) (pow.f64 y #s(literal 3 binary64)))) y) #s(literal -2 binary64) (.f64 #s(literal 1/12 binary64) (/.f64 (/.f64 #s(literal 1/2 binary64) y) y))) x) x (.f64 (.f64 (/.f64 #s(literal 1/2 binary64) y) y) #s(literal 2 binary64))) x)) (neg.f64 x))
(/.f64 (.f64 (fma.f64 (.f64 (fma.f64 (.f64 (fma.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) y) y) (/.f64 #s(literal -1/8 binary64) y) (/.f64 #s(literal 1/48 binary64) (pow.f64 y #s(literal 3 binary64)))) y) #s(literal -2 binary64) (.f64 #s(literal 1/12 binary64) (/.f64 (/.f64 #s(literal 1/2 binary64) y) y))) x) x (.f64 (.f64 (/.f64 #s(literal 1/2 binary64) y) y) #s(literal 2 binary64))) x) x)
(+.f64 (/.f64 (.f64 (fma.f64 (.f64 (fma.f64 (.f64 (fma.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) y) y) (/.f64 #s(literal -1/8 binary64) y) (/.f64 #s(literal 1/48 binary64) (pow.f64 y #s(literal 3 binary64)))) y) #s(literal -2 binary64) (.f64 #s(literal 1/12 binary64) (/.f64 (/.f64 #s(literal 1/2 binary64) y) y))) x) x (.f64 (.f64 (/.f64 #s(literal 1/2 binary64) y) y) #s(literal 2 binary64))) x) x) (/.f64 #s(literal 0 binary64) x))
(.f64 (fma.f64 (.f64 (fma.f64 (.f64 (fma.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) y) y) (/.f64 #s(literal -1/8 binary64) y) (/.f64 #s(literal 1/48 binary64) (pow.f64 y #s(literal 3 binary64)))) y) #s(literal -2 binary64) (.f64 #s(literal 1/12 binary64) (/.f64 (/.f64 #s(literal 1/2 binary64) y) y))) x) x (.f64 (.f64 (/.f64 #s(literal 1/2 binary64) y) y) #s(literal 2 binary64))) x)
(.f64 x (fma.f64 (.f64 (fma.f64 (.f64 (fma.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) y) y) (/.f64 #s(literal -1/8 binary64) y) (/.f64 #s(literal 1/48 binary64) (pow.f64 y #s(literal 3 binary64)))) y) #s(literal -2 binary64) (.f64 #s(literal 1/12 binary64) (/.f64 (/.f64 #s(literal 1/2 binary64) y) y))) x) x (.f64 (.f64 (/.f64 #s(literal 1/2 binary64) y) y) #s(literal 2 binary64))))
(/.f64 (-.f64 (.f64 (.f64 (fma.f64 (.f64 (fma.f64 (.f64 (fma.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) y) y) (/.f64 #s(literal -1/8 binary64) y) (/.f64 #s(literal 1/48 binary64) (pow.f64 y #s(literal 3 binary64)))) y) #s(literal -2 binary64) (.f64 #s(literal 1/12 binary64) (/.f64 (/.f64 #s(literal 1/2 binary64) y) y))) x) x (.f64 (.f64 (/.f64 #s(literal 1/2 binary64) y) y) #s(literal 2 binary64))) x) (.f64 (fma.f64 (.f64 (fma.f64 (.f64 (fma.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) y) y) (/.f64 #s(literal -1/8 binary64) y) (/.f64 #s(literal 1/48 binary64) (pow.f64 y #s(literal 3 binary64)))) y) #s(literal -2 binary64) (.f64 #s(literal 1/12 binary64) (/.f64 (/.f64 #s(literal 1/2 binary64) y) y))) x) x (.f64 (.f64 (/.f64 #s(literal 1/2 binary64) y) y) #s(literal 2 binary64))) x)) #s(literal 0 binary64)) (-.f64 (.f64 (fma.f64 (.f64 (fma.f64 (.f64 (fma.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) y) y) (/.f64 #s(literal -1/8 binary64) y) (/.f64 #s(literal 1/48 binary64) (pow.f64 y #s(literal 3 binary64)))) y) #s(literal -2 binary64) (.f64 #s(literal 1/12 binary64) (/.f64 (/.f64 #s(literal 1/2 binary64) y) y))) x) x (.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) y) #s(literal 2 binary64))) x) #s(literal 0 binary64)))
(/.f64 (+.f64 (pow.f64 (.f64 (fma.f64 (.f64 (fma.f64 (.f64 (fma.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) y) y) (/.f64 #s(literal -1/8 binary64) y) (/.f64 #s(literal 1/48 binary64) (pow.f64 y #s(literal 3 binary64)))) y) #s(literal -2 binary64) (.f64 #s(literal 1/12 binary64) (/.f64 (/.f64 #s(literal 1/2 binary64) y) y))) x) x (.f64 (.f64 (/.f64 #s(literal 1/2 binary64) y) y) #s(literal 2 binary64))) x) #s(literal 3 binary64)) #s(literal 0 binary64)) (fma.f64 (.f64 (fma.f64 (.f64 (fma.f64 (.f64 (fma.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) y) y) (/.f64 #s(literal -1/8 binary64) y) (/.f64 #s(literal 1/48 binary64) (pow.f64 y #s(literal 3 binary64)))) y) #s(literal -2 binary64) (.f64 #s(literal 1/12 binary64) (/.f64 (/.f64 #s(literal 1/2 binary64) y) y))) x) x (.f64 (.f64 (/.f64 #s(literal 1/2 binary64) y) y) #s(literal 2 binary64))) x) (.f64 (fma.f64 (.f64 (fma.f64 (.f64 (fma.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) y) y) (/.f64 #s(literal -1/8 binary64) y) (/.f64 #s(literal 1/48 binary64) (pow.f64 y #s(literal 3 binary64)))) y) #s(literal -2 binary64) (.f64 #s(literal 1/12 binary64) (/.f64 (/.f64 #s(literal 1/2 binary64) y) y))) x) x (.f64 (.f64 (/.f64 #s(literal 1/2 binary64) y) y) #s(literal 2 binary64))) x) (-.f64 #s(literal 0 binary64) (.f64 (.f64 (fma.f64 (.f64 (fma.f64 (.f64 (fma.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) y) y) (/.f64 #s(literal -1/8 binary64) y) (/.f64 #s(literal 1/48 binary64) (pow.f64 y #s(literal 3 binary64)))) y) #s(literal -2 binary64) (.f64 #s(literal 1/12 binary64) (/.f64 (/.f64 #s(literal 1/2 binary64) y) y))) x) x (.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) y) #s(literal 2 binary64))) x) #s(literal 0 binary64)))))
(fma.f64 (fma.f64 (.f64 (fma.f64 (.f64 (fma.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) y) y) (/.f64 #s(literal -1/8 binary64) y) (/.f64 #s(literal 1/48 binary64) (pow.f64 y #s(literal 3 binary64)))) y) #s(literal -2 binary64) (.f64 #s(literal 1/12 binary64) (/.f64 (/.f64 #s(literal 1/2 binary64) y) y))) x) x (.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) y) #s(literal 2 binary64))) x #s(literal 0 binary64))
(fma.f64 x (fma.f64 (.f64 (fma.f64 (.f64 (fma.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) y) y) (/.f64 #s(literal -1/8 binary64) y) (/.f64 #s(literal 1/48 binary64) (pow.f64 y #s(literal 3 binary64)))) y) #s(literal -2 binary64) (.f64 #s(literal 1/12 binary64) (/.f64 (/.f64 #s(literal 1/2 binary64) y) y))) x) x (.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) y) #s(literal 2 binary64))) #s(literal 0 binary64))
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(/.f64 (+.f64 (pow.f64 (.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) y) y) (/.f64 #s(literal -1/8 binary64) y)) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1/48 binary64) (pow.f64 y #s(literal 3 binary64))) #s(literal 3 binary64))) (fma.f64 (.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) y) y) (/.f64 #s(literal -1/8 binary64) y)) (.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) y) y) (/.f64 #s(literal -1/8 binary64) y)) (-.f64 (.f64 (/.f64 #s(literal 1/48 binary64) (pow.f64 y #s(literal 3 binary64))) (/.f64 #s(literal 1/48 binary64) (pow.f64 y #s(literal 3 binary64)))) (.f64 (.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) y) y) (/.f64 #s(literal -1/8 binary64) y)) (/.f64 #s(literal 1/48 binary64) (pow.f64 y #s(literal 3 binary64)))))))
(fma.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) y) y) (/.f64 #s(literal -1/8 binary64) y) (/.f64 #s(literal 1/48 binary64) (pow.f64 y #s(literal 3 binary64))))
(fma.f64 (/.f64 #s(literal -1/8 binary64) y) (/.f64 (/.f64 #s(literal 1/2 binary64) y) y) (/.f64 #s(literal 1/48 binary64) (pow.f64 y #s(literal 3 binary64))))
(+.f64 (*.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) y) y) (/.f64 #s(literal -1/8 binary64) y)) (/.f64 #s(literal 1/48 binary64) (pow.f64 y #s(literal 3 binary64))))
(+.f64 (/.f64 #s(literal 1/48 binary64) (pow.f64 y #s(literal 3 binary64))) (*.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) y) y) (/.f64 #s(literal -1/8 binary64) y)))
(/.f64 #s(literal -1/8 binary64) y)
(/.f64 #s(literal 1/8 binary64) (neg.f64 y))
#s(literal -1/8 binary64)
(/.f64 (neg.f64 (/.f64 #s(literal 1/2 binary64) y)) (neg.f64 y))
(/.f64 (/.f64 #s(literal 1/2 binary64) y) y)
(-.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) y) y) (/.f64 #s(literal 0 binary64) y))
(/.f64 (-.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal 1/2 binary64) y)) #s(literal 0 binary64)) (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 0 binary64)))
(/.f64 (-.f64 (pow.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 3 binary64)) #s(literal 0 binary64)) (fma.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal 1/2 binary64) y) (+.f64 #s(literal 0 binary64) (*.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 0 binary64)))))
(/.f64 #s(literal 1/2 binary64) y)
(/.f64 #s(literal -1/2 binary64) (neg.f64 y))
(-.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 0 binary64))
(/.f64 (-.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal 1/2 binary64) y)) #s(literal 0 binary64)) (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 0 binary64)))
(/.f64 (-.f64 (pow.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 3 binary64)) #s(literal 0 binary64)) (fma.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal 1/2 binary64) y) (+.f64 #s(literal 0 binary64) (*.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 0 binary64)))))
(/.f64 #s(literal 1/2 binary64) y)
(/.f64 #s(literal -1/2 binary64) (neg.f64 y))
(-.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 0 binary64))
#s(literal 1/2 binary64)
#s(literal 0 binary64)
(/.f64 #s(literal -1/48 binary64) (neg.f64 (pow.f64 y #s(literal 3 binary64))))
(/.f64 #s(literal 1/48 binary64) (pow.f64 y #s(literal 3 binary64)))
#s(literal 1/48 binary64)
(*.f64 (pow.f64 y #s(literal 3/2 binary64)) (pow.f64 y #s(literal 3/2 binary64)))
(.f64 (.f64 y y) y)
(.f64 y (.f64 y y))
(pow.f64 y #s(literal 3 binary64))
(exp.f64 (*.f64 (log.f64 y) #s(literal 3 binary64)))
#s(literal 3 binary64)
#s(literal -2 binary64)
(*.f64 #s(literal 1/12 binary64) (/.f64 (/.f64 #s(literal 1/2 binary64) y) y))
(*.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) y) y) #s(literal 1/12 binary64))
(/.f64 (*.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1/2 binary64) y)) y)
#s(literal 1/12 binary64)
(.f64 (.f64 (/.f64 #s(literal 1/2 binary64) y) y) #s(literal 2 binary64))
(.f64 #s(literal 2 binary64) (.f64 (/.f64 #s(literal 1/2 binary64) y) y))
(*.f64 (/.f64 #s(literal 1/2 binary64) y) y)
(*.f64 y (/.f64 #s(literal 1/2 binary64) y))
(/.f64 (*.f64 #s(literal 1/2 binary64) y) y)
(/.f64 (-.f64 (.f64 (.f64 (/.f64 #s(literal 1/2 binary64) y) y) (.f64 (/.f64 #s(literal 1/2 binary64) y) y)) #s(literal 0 binary64)) (-.f64 (.f64 (/.f64 #s(literal 1/2 binary64) y) y) #s(literal 0 binary64)))
(/.f64 (+.f64 (pow.f64 (.f64 (/.f64 #s(literal 1/2 binary64) y) y) #s(literal 3 binary64)) #s(literal 0 binary64)) (fma.f64 (.f64 (/.f64 #s(literal 1/2 binary64) y) y) (.f64 (/.f64 #s(literal 1/2 binary64) y) y) (-.f64 #s(literal 0 binary64) (.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) y) #s(literal 0 binary64)))))
(fma.f64 (/.f64 #s(literal 1/2 binary64) y) y #s(literal 0 binary64))
(fma.f64 y (/.f64 #s(literal 1/2 binary64) y) #s(literal 0 binary64))
(+.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) y) #s(literal 0 binary64))
(+.f64 #s(literal 0 binary64) (*.f64 (/.f64 #s(literal 1/2 binary64) y) y))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x y))) (-.f64 (cos.f64 (-.f64 (/.f64 x y) (/.f64 (/.f64 x y) #s(literal 2 binary64)))) (cos.f64 (+.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64)) (/.f64 x y))))) #s(literal 2 binary64))
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x y))) (sin.f64 (/.f64 x y))) (sin.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x y)))) (neg.f64 (*.f64 (sin.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64))) (sin.f64 (/.f64 x y)))))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x y))) (*.f64 (sin.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64))) (sin.f64 (/.f64 x y))))
(-.f64 (/.f64 #s(literal 1 binary64) (.f64 (sin.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64))) (sin.f64 (/.f64 x y)))) (/.f64 (cos.f64 (/.f64 x y)) (.f64 (sin.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64))) (sin.f64 (/.f64 x y)))))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (cos.f64 (/.f64 x y)) (cos.f64 (/.f64 x y)))) (+.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x y))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 (/.f64 x y)) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 (/.f64 x y)) (cos.f64 (/.f64 x y)) (*.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x y))))))
(-.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x y)))
(sin.f64 (+.f64 (/.f64 x y) (/.f64 (PI.f64) #s(literal 2 binary64))))
(cos.f64 (neg.f64 (/.f64 x y)))
(cos.f64 (/.f64 x y))
(*.f64 (sin.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64))) (sin.f64 (/.f64 x y)))
(*.f64 (sin.f64 (/.f64 x y)) (sin.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64))))
(/.f64 (neg.f64 (-.f64 (cos.f64 (-.f64 (/.f64 x y) (/.f64 (/.f64 x y) #s(literal 2 binary64)))) (cos.f64 (+.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64)) (/.f64 x y))))) #s(literal -2 binary64))
(/.f64 (-.f64 (cos.f64 (-.f64 (/.f64 x y) (/.f64 (/.f64 x y) #s(literal 2 binary64)))) (cos.f64 (+.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64)) (/.f64 x y)))) #s(literal 2 binary64))
(-.f64 (/.f64 (cos.f64 (-.f64 (/.f64 x y) (/.f64 (/.f64 x y) #s(literal 2 binary64)))) #s(literal 2 binary64)) (/.f64 (cos.f64 (+.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64)) (/.f64 x y))) #s(literal 2 binary64)))
(sin.f64 (/.f64 x y))
(sin.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64)))
(/.f64 (/.f64 x #s(literal 2 binary64)) y)
(/.f64 (neg.f64 x) (neg.f64 (*.f64 #s(literal 2 binary64) y)))
(/.f64 (neg.f64 (/.f64 x y)) #s(literal -2 binary64))
(/.f64 (/.f64 x y) #s(literal 2 binary64))
(/.f64 x (*.f64 #s(literal 2 binary64) y))
(*.f64 #s(literal 2 binary64) y)
(*.f64 y #s(literal 2 binary64))
(/.f64 (-.f64 (.f64 y y) (.f64 y y)) (-.f64 y y))
(/.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (fma.f64 y y (-.f64 (.f64 y y) (.f64 y y))))
(+.f64 y y)
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x y))) (-.f64 (cos.f64 (-.f64 (/.f64 x y) (/.f64 (/.f64 x y) #s(literal 2 binary64)))) (cos.f64 (+.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64)) (/.f64 x y))))) #s(literal 2 binary64))
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x y))) (sin.f64 (/.f64 x y))) (sin.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x y)))) (neg.f64 (*.f64 (sin.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64))) (sin.f64 (/.f64 x y)))))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x y))) (*.f64 (sin.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64))) (sin.f64 (/.f64 x y))))
(-.f64 (/.f64 #s(literal 1 binary64) (.f64 (sin.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64))) (sin.f64 (/.f64 x y)))) (/.f64 (cos.f64 (/.f64 x y)) (.f64 (sin.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64))) (sin.f64 (/.f64 x y)))))
(*.f64 (sin.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64))) (sin.f64 (/.f64 x y)))
(*.f64 (sin.f64 (/.f64 x y)) (sin.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64))))
(/.f64 (neg.f64 (-.f64 (cos.f64 (-.f64 (/.f64 x y) (/.f64 (/.f64 x y) #s(literal 2 binary64)))) (cos.f64 (+.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64)) (/.f64 x y))))) #s(literal -2 binary64))
(/.f64 (-.f64 (cos.f64 (-.f64 (/.f64 x y) (/.f64 (/.f64 x y) #s(literal 2 binary64)))) (cos.f64 (+.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64)) (/.f64 x y)))) #s(literal 2 binary64))
(-.f64 (/.f64 (cos.f64 (-.f64 (/.f64 x y) (/.f64 (/.f64 x y) #s(literal 2 binary64)))) #s(literal 2 binary64)) (/.f64 (cos.f64 (+.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64)) (/.f64 x y))) #s(literal 2 binary64)))
(.f64 #s(literal -2 binary64) (.f64 (sin.f64 (/.f64 (-.f64 (-.f64 (/.f64 x y) (/.f64 (/.f64 x y) #s(literal 2 binary64))) (+.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64)) (/.f64 x y))) #s(literal 2 binary64))) (sin.f64 (/.f64 (+.f64 (-.f64 (/.f64 x y) (/.f64 (/.f64 x y) #s(literal 2 binary64))) (+.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64)) (/.f64 x y))) #s(literal 2 binary64)))))
(/.f64 (-.f64 (.f64 (cos.f64 (-.f64 (/.f64 x y) (/.f64 (/.f64 x y) #s(literal 2 binary64)))) (cos.f64 (-.f64 (/.f64 x y) (/.f64 (/.f64 x y) #s(literal 2 binary64))))) (.f64 (cos.f64 (+.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64)) (/.f64 x y))) (cos.f64 (+.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64)) (/.f64 x y))))) (+.f64 (cos.f64 (-.f64 (/.f64 x y) (/.f64 (/.f64 x y) #s(literal 2 binary64)))) (cos.f64 (+.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64)) (/.f64 x y)))))
(/.f64 (-.f64 (pow.f64 (cos.f64 (-.f64 (/.f64 x y) (/.f64 (/.f64 x y) #s(literal 2 binary64)))) #s(literal 3 binary64)) (pow.f64 (cos.f64 (+.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64)) (/.f64 x y))) #s(literal 3 binary64))) (fma.f64 (cos.f64 (-.f64 (/.f64 x y) (/.f64 (/.f64 x y) #s(literal 2 binary64)))) (cos.f64 (-.f64 (/.f64 x y) (/.f64 (/.f64 x y) #s(literal 2 binary64)))) (fma.f64 (cos.f64 (+.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64)) (/.f64 x y))) (cos.f64 (+.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64)) (/.f64 x y))) (*.f64 (cos.f64 (-.f64 (/.f64 x y) (/.f64 (/.f64 x y) #s(literal 2 binary64)))) (cos.f64 (+.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64)) (/.f64 x y)))))))
(-.f64 (cos.f64 (-.f64 (/.f64 x y) (/.f64 (/.f64 x y) #s(literal 2 binary64)))) (cos.f64 (+.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64)) (/.f64 x y))))
(fma.f64 (cos.f64 (/.f64 x y)) (cos.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64))) (*.f64 (sin.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64))) (sin.f64 (/.f64 x y))))
(sin.f64 (+.f64 (-.f64 (/.f64 x y) (/.f64 (/.f64 x y) #s(literal 2 binary64))) (/.f64 (PI.f64) #s(literal 2 binary64))))
(cos.f64 (neg.f64 (-.f64 (/.f64 x y) (/.f64 (/.f64 x y) #s(literal 2 binary64)))))
(cos.f64 (-.f64 (/.f64 x y) (/.f64 (/.f64 x y) #s(literal 2 binary64))))
(+.f64 (.f64 (cos.f64 (/.f64 x y)) (cos.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64)))) (.f64 (sin.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64))) (sin.f64 (/.f64 x y))))
(/.f64 (-.f64 (.f64 (/.f64 x y) (/.f64 x y)) (.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64)) (/.f64 (/.f64 x y) #s(literal 2 binary64)))) (+.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64)) (/.f64 x y)))
(/.f64 (-.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)) (pow.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 3 binary64))) (fma.f64 (/.f64 x y) (/.f64 x y) (fma.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64)) (/.f64 (/.f64 x y) #s(literal 2 binary64)) (*.f64 (/.f64 x y) (/.f64 (/.f64 x y) #s(literal 2 binary64))))))
(/.f64 (-.f64 (.f64 x #s(literal 2 binary64)) (.f64 y (/.f64 x y))) (*.f64 #s(literal 2 binary64) y))
(-.f64 (/.f64 x y) (/.f64 (/.f64 x y) #s(literal 2 binary64)))
(/.f64 (/.f64 x #s(literal 2 binary64)) y)
(/.f64 (neg.f64 x) (neg.f64 (*.f64 #s(literal 2 binary64) y)))
(/.f64 (neg.f64 (/.f64 x y)) #s(literal -2 binary64))
(/.f64 (/.f64 x y) #s(literal 2 binary64))
(/.f64 x (*.f64 #s(literal 2 binary64) y))
(sin.f64 (+.f64 (+.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64)) (/.f64 x y)) (/.f64 (PI.f64) #s(literal 2 binary64))))
(-.f64 (.f64 (cos.f64 (/.f64 x y)) (cos.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64)))) (.f64 (sin.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64))) (sin.f64 (/.f64 x y))))
(cos.f64 (neg.f64 (+.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64)) (/.f64 x y))))
(cos.f64 (+.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64)) (/.f64 x y)))
(/.f64 (-.f64 (.f64 (/.f64 x y) (/.f64 x y)) (.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64)) (/.f64 (/.f64 x y) #s(literal 2 binary64)))) (-.f64 (/.f64 x y) (/.f64 (/.f64 x y) #s(literal 2 binary64))))
(/.f64 (+.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)) (pow.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 3 binary64))) (fma.f64 (/.f64 x y) (/.f64 x y) (-.f64 (.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64)) (/.f64 (/.f64 x y) #s(literal 2 binary64))) (.f64 (/.f64 x y) (/.f64 (/.f64 x y) #s(literal 2 binary64))))))
(/.f64 (fma.f64 x #s(literal 2 binary64) (.f64 y (/.f64 x y))) (.f64 #s(literal 2 binary64) y))
(+.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64)) (/.f64 x y))
(+.f64 (/.f64 x y) (/.f64 (/.f64 x y) #s(literal 2 binary64)))

eval176.0ms (3.4%)

Memory: -45.4MiB live, 218.5MiB allocated; 115ms collecting garbage
Compiler: Compiled 28 464 to 2 794 computations (90.2% saved)

prune85.0ms (1.6%)

Memory

26.3MiB live, 173.3MiB allocated; 11ms collecting garbage

Pruning

46 alts after pruning (41 fresh and 5 done)

	Pruned	Kept	Total
New	502	22	524
Fresh	13	19	32
Picked	3	2	5
Done	0	3	3
Total	518	46	564

Accuracy

63.2%

Counts

564 → 46

Alt Table

Click to see full alt table

Status	Accuracy	Program
	6.8%	(/.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 (cos.f64 (/.f64 x y)) #s(literal 1 binary64))) (/.f64 (pow.f64 (cos.f64 (/.f64 x y)) #s(literal 2 binary64)) (+.f64 (cos.f64 (/.f64 x y)) #s(literal 1 binary64)))) (sin.f64 (/.f64 x y))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
	6.2%	(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (.f64 (cos.f64 (/.f64 x y)) (cos.f64 (/.f64 x y)))) (+.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x y)))) (.f64 (sin.f64 (/.f64 x y)) (sin.f64 (/.f64 x (+.f64 y y)))))
	5.4%	(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (sin.f64 #s(approx (+ (/ (neg x) y) (/ (PI) 2)) (/.f64 (neg.f64 x) y)))) (sin.f64 (/.f64 x y))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
	6.3%	(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (sin.f64 #s(approx (+ (/ (neg x) y) (/ (PI) 2)) (.f64 (fma.f64 (/.f64 (PI.f64) x) #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) y)) (neg.f64 x))))) (sin.f64 (/.f64 x y))) (sin.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))))
	6.8%	(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x y))) (sin.f64 (/.f64 x y))) (sin.f64 (/.f64 x (+.f64 y y))))
	47.7%	(/.f64 (/.f64 (neg.f64 (sin.f64 (/.f64 x (.f64 #s(literal 2 binary64) y)))) (cos.f64 (+.f64 (PI.f64) (/.f64 x (.f64 #s(literal 2 binary64) y))))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
	6.8%	(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (sin.f64 (/.f64 x y))) (/.f64 (cos.f64 (/.f64 x y)) (sin.f64 (/.f64 x y)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
	6.2%	(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 (/.f64 x y)) #s(literal 2 binary64))) (.f64 (+.f64 (cos.f64 (/.f64 x y)) #s(literal 1 binary64)) (.f64 (sin.f64 (/.f64 x y)) (sin.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y))))))
	5.7%	(/.f64 (-.f64 #s(literal 1 binary64) (sin.f64 (+.f64 (/.f64 x y) (/.f64 (PI.f64) #s(literal 2 binary64))))) (*.f64 (sin.f64 (/.f64 x y)) (sin.f64 (/.f64 x (+.f64 y y)))))
	5.3%	(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x y))) (/.f64 (/.f64 (-.f64 (pow.f64 (cos.f64 (-.f64 (/.f64 x y) (/.f64 (/.f64 x y) #s(literal 2 binary64)))) #s(literal 3 binary64)) (pow.f64 (cos.f64 (+.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64)) (/.f64 x y))) #s(literal 3 binary64))) (fma.f64 (cos.f64 (-.f64 (/.f64 x y) (/.f64 (/.f64 x y) #s(literal 2 binary64)))) (cos.f64 (-.f64 (/.f64 x y) (/.f64 (/.f64 x y) #s(literal 2 binary64)))) (fma.f64 (cos.f64 (+.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64)) (/.f64 x y))) (cos.f64 (+.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64)) (/.f64 x y))) (*.f64 (cos.f64 (-.f64 (/.f64 x y) (/.f64 (/.f64 x y) #s(literal 2 binary64)))) (cos.f64 (+.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64)) (/.f64 x y))))))) #s(literal 2 binary64)))
	5.3%	(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x y))) (/.f64 (-.f64 (sin.f64 (+.f64 (-.f64 (/.f64 x y) (/.f64 (/.f64 x y) #s(literal 2 binary64))) (/.f64 (PI.f64) #s(literal 2 binary64)))) (cos.f64 (+.f64 (/.f64 x y) (/.f64 (/.f64 x y) #s(literal 2 binary64))))) #s(literal 2 binary64)))
	4.2%	(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x y))) (/.f64 (-.f64 (cos.f64 (/.f64 (-.f64 (.f64 (/.f64 x y) (/.f64 x y)) (.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64)) (/.f64 (/.f64 x y) #s(literal 2 binary64)))) (+.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64)) (/.f64 x y)))) (cos.f64 (+.f64 (/.f64 x y) (/.f64 (/.f64 x y) #s(literal 2 binary64))))) #s(literal 2 binary64)))
	5.2%	(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x y))) (/.f64 (-.f64 (cos.f64 (-.f64 (/.f64 x y) (/.f64 (/.f64 x y) #s(literal 2 binary64)))) (sin.f64 (+.f64 (+.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64)) (/.f64 x y)) (/.f64 (PI.f64) #s(literal 2 binary64))))) #s(literal 2 binary64)))
	5.3%	(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x y))) (/.f64 (-.f64 (cos.f64 (-.f64 (/.f64 x y) (/.f64 (/.f64 x y) #s(literal 2 binary64)))) (cos.f64 #s(approx (+ (/ x y) (/ (/ x y) 2)) (neg.f64 (/.f64 (*.f64 x #s(literal -3/2 binary64)) y))))) #s(literal 2 binary64)))
	3.0%	(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x y))) (/.f64 (-.f64 (cos.f64 (-.f64 (/.f64 x y) (/.f64 (/.f64 x y) #s(literal 2 binary64)))) #s(approx (cos (+ (/ x y) (/ (/ x y) 2))) #s(literal 1 binary64))) #s(literal 2 binary64)))
	3.8%	(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x y))) (/.f64 (-.f64 #s(approx (cos (- (/ x y) (/ (/ x y) 2))) #s(literal 1 binary64)) (cos.f64 (+.f64 (/.f64 x y) (/.f64 (/.f64 x y) #s(literal 2 binary64))))) #s(literal 2 binary64)))
	6.1%	(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x y))) (/.f64 (.f64 #s(literal -2 binary64) (.f64 (sin.f64 (/.f64 (-.f64 (-.f64 (/.f64 x y) (/.f64 (/.f64 x y) #s(literal 2 binary64))) (+.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64)) (/.f64 x y))) #s(literal 2 binary64))) (sin.f64 (/.f64 (+.f64 (-.f64 (/.f64 x y) (/.f64 (/.f64 x y) #s(literal 2 binary64))) (+.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64)) (/.f64 x y))) #s(literal 2 binary64))))) #s(literal 2 binary64)))
✓	6.2%	(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x y))) (*.f64 (sin.f64 (/.f64 x y)) (sin.f64 (/.f64 x (+.f64 y y)))))
	5.3%	(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x y))) #s(approx (/ (- (cos (- (/ x y) (/ (/ x y) 2))) (cos (+ (/ x y) (/ (/ x y) 2)))) 2) (.f64 (-.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) (/.f64 x y))) (cos.f64 (*.f64 #s(literal -3/2 binary64) (/.f64 x y)))) #s(literal 1/2 binary64))))
	47.6%	(/.f64 (tan.f64 (/.f64 x (+.f64 y y))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
	43.5%	(/.f64 (tan.f64 (/.f64 x (+.f64 y y))) #s(approx (sin (/ x (* y 2))) (*.f64 (/.f64 x y) #s(literal 1/2 binary64))))
	6.6%	(/.f64 (tan.f64 (+.f64 (+.f64 (PI.f64) (/.f64 x (.f64 #s(literal 2 binary64) y))) (PI.f64))) (sin.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))))
	3.0%	(/.f64 (tan.f64 (+.f64 (PI.f64) (/.f64 x (/.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (fma.f64 y y (-.f64 (.f64 y y) (.f64 y y))))))) (sin.f64 (/.f64 x (+.f64 y y))))
	6.7%	(/.f64 (tan.f64 (+.f64 (PI.f64) (/.f64 x (+.f64 y y)))) (sin.f64 (/.f64 x (+.f64 y y))))
	3.5%	(/.f64 (tan.f64 (+.f64 (PI.f64) (/.f64 x (.f64 #s(literal 2 binary64) y)))) (sin.f64 (/.f64 x (/.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (fma.f64 y y (-.f64 (.f64 y y) (*.f64 y y)))))))
	6.4%	(/.f64 (tan.f64 #s(approx (+ (PI) (/ x (* 2 y))) (*.f64 (+.f64 (/.f64 (PI.f64) x) (/.f64 #s(literal 1/2 binary64) y)) x))) (sin.f64 (/.f64 x (+.f64 y y))))
	43.3%	(/.f64 #s(approx (tan (/ x (* y 2))) (.f64 (/.f64 x y) #s(literal 1/2 binary64))) (sin.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))))
	6.3%	(-.f64 (/.f64 (pow.f64 (sin.f64 (/.f64 x y)) #s(literal -1 binary64)) (sin.f64 (/.f64 x (.f64 #s(literal 2 binary64) y)))) (/.f64 (/.f64 (cos.f64 (/.f64 x y)) (sin.f64 (/.f64 x y))) (sin.f64 (/.f64 x (.f64 #s(literal 2 binary64) y)))))
	6.5%	(-.f64 (/.f64 #s(literal 1 binary64) (.f64 (sin.f64 (/.f64 x y)) (sin.f64 (/.f64 x (.f64 #s(literal 2 binary64) y))))) (/.f64 (cos.f64 (/.f64 x y)) (.f64 (sin.f64 (/.f64 x y)) (sin.f64 (/.f64 x (.f64 #s(literal 2 binary64) y))))))
	6.8%	#s(approx (/ (- 1 (cos (/ x y))) (* (sin (/ x y)) (sin (/ x (+ y y))))) (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x y))) (sin.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y)))) (sin.f64 (/.f64 x y))))
	43.5%	#s(approx (/ (- 1 (cos (/ x y))) (* (sin (/ x y)) (sin (/ x (+ y y))))) (/.f64 (.f64 #s(literal 2 binary64) (fma.f64 (.f64 y x) (-.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal 0 binary64) (.f64 #s(literal 1 binary64) y))) (.f64 #s(literal 0 binary64) y))) x))
	43.5%	#s(approx (/ (- 1 (cos (/ x y))) (* (sin (/ x y)) (sin (/ x (+ y y))))) (.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) x (.f64 (.f64 #s(literal 0 binary64) x) #s(literal 1/2 binary64))) (.f64 y x)) #s(literal 2 binary64) (/.f64 #s(literal 0 binary64) (neg.f64 x))) y))
	53.2%	#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (fma.f64 (*.f64 (/.f64 x y) x) (/.f64 #s(literal 1/8 binary64) y) #s(literal 1 binary64)))
✓	46.7%	#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)))
	55.5%	#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (sin.f64 (/.f64 (-.f64 (.f64 (.f64 #s(literal -1/2 binary64) (/.f64 x y)) (.f64 #s(literal -1/2 binary64) (/.f64 x y))) (.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64)))) (-.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y)) (/.f64 (PI.f64) #s(literal 2 binary64)))))))
	55.1%	#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (sin.f64 (/.f64 (+.f64 (pow.f64 (.f64 #s(literal -1/2 binary64) (/.f64 x y)) #s(literal 3 binary64)) (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64))) (fma.f64 (.f64 #s(literal -1/2 binary64) (/.f64 x y)) (.f64 #s(literal -1/2 binary64) (/.f64 x y)) (-.f64 (.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64))) (.f64 (.f64 #s(literal -1/2 binary64) (/.f64 x y)) (/.f64 (PI.f64) #s(literal 2 binary64)))))))))
	56.8%	#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (sin.f64 #s(approx (+ (* (/ x y) -1/2) (/ (PI) 2)) (.f64 (-.f64 (.f64 (/.f64 (PI.f64) x) #s(literal 1/2 binary64)) (/.f64 #s(literal 1/2 binary64) y)) x)))))
	57.1%	#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (sin.f64 #s(approx (+ (* (/ x y) -1/2) (/ (PI) 2)) (*.f64 #s(literal 1/2 binary64) (-.f64 (PI.f64) (/.f64 x y)))))))
	4.1%	#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (sin.f64 #s(approx (+ (* (/ x y) -1/2) (/ (PI) 2)) (*.f64 #s(literal -1/2 binary64) (/.f64 x y))))))
✓	57.0%	#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)))))
	53.7%	#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) #s(approx (sin (+ (* (/ x y) -1/2) (/ (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 #s(literal 1/2 binary64) (PI.f64)))))))
	51.2%	#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) #s(approx (cos (* -1/2 (/ x y))) (fma.f64 (/.f64 #s(literal -1/8 binary64) y) (/.f64 (*.f64 x x) y) #s(literal 1 binary64)))))
	53.6%	#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(approx (/ 1 (sin (+ (* (/ x y) -1/2) (/ (PI) 2)))) (fma.f64 (.f64 x (/.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) (PI.f64))) (pow.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) (PI.f64))) #s(literal 2 binary64)))) (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal 1 binary64) (sin.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)))))))
✓	58.0%	#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(literal 1 binary64))
	45.7%	#s(approx (/ (tan (+ (PI) (/ x (* 2 y)))) (sin (/ x (* y 2)))) (/.f64 (fma.f64 (fma.f64 (fma.f64 (fma.f64 (fma.f64 (fma.f64 (/.f64 #s(literal -1/8 binary64) y) (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 0 binary64)) y) (/.f64 #s(literal 1/48 binary64) (.f64 (.f64 y y) y))) y #s(literal 0 binary64)) #s(literal -2 binary64) (.f64 #s(literal 1/12 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 0 binary64)) y))) x #s(literal 0 binary64)) x (.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) y) y #s(literal 0 binary64)) #s(literal 2 binary64))) x #s(literal 0 binary64)) x))
✓	3.1%	#s(approx (/ (tan (+ (PI) (/ x (* 2 y)))) (sin (/ x (* y 2)))) #s(literal 0 binary64))

Compiler

Compiled 3 913 to 1 313 computations (66.4% saved)

regimes215.0ms (4.1%)

Memory

-3.3MiB live, 181.6MiB allocated; 29ms collecting garbage

Counts

79 → 2

Calls

Call 1

Inputs
#s(approx (/ (tan (+ (PI) (/ x (* 2 y)))) (sin (/ x (* y 2)))) #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 (/.f64 x y) x) (/.f64 #s(literal 1/8 binary64) 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)))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) #s(approx (cos (* -1/2 (/ x y))) (fma.f64 (/.f64 #s(literal -1/8 binary64) y) (/.f64 (*.f64 x x) y) #s(literal 1 binary64)))))
#s(approx (/ (tan (+ (PI) (/ x (* 2 y)))) (sin (/ x (+ y y)))) (.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) x (.f64 (.f64 #s(literal 0 binary64) x) #s(literal 1/2 binary64))) (.f64 y x)) #s(literal 2 binary64) (/.f64 #s(literal 0 binary64) (neg.f64 x))) y))
#s(approx (/ (- 1 (cos (/ x y))) (* (sin (/ x y)) (sin (/ x (+ y y))))) (.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) x (.f64 (.f64 #s(literal 0 binary64) x) #s(literal 1/2 binary64))) (.f64 y x)) #s(literal 2 binary64) (/.f64 #s(literal 0 binary64) (neg.f64 x))) y))
#s(approx (/ (tan (+ (PI) (/ x (* 2 y)))) (sin (/ x (+ y y)))) (/.f64 (.f64 #s(literal 2 binary64) (fma.f64 (.f64 y x) (-.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal 0 binary64) (.f64 #s(literal 1 binary64) y))) (.f64 #s(literal 0 binary64) y))) x))
#s(approx (/ (- 1 (cos (/ x y))) (* (sin (/ x y)) (sin (/ x (+ y y))))) (/.f64 (.f64 #s(literal 2 binary64) (fma.f64 (.f64 y x) (-.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal 0 binary64) (.f64 #s(literal 1 binary64) y))) (.f64 #s(literal 0 binary64) y))) x))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y)))))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (sin.f64 #s(approx (+ (* (/ x y) -1/2) (/ (PI) 2)) (*.f64 #s(literal -1/2 binary64) (/.f64 x y))))))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (sin.f64 #s(approx (+ (* (/ x y) -1/2) (/ (PI) 2)) (*.f64 #s(literal 1/2 binary64) (-.f64 (PI.f64) (/.f64 x y)))))))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (sin.f64 (fma.f64 (/.f64 x y) #s(literal -1/2 binary64) (/.f64 (PI.f64) #s(literal 2 binary64))))))
(/.f64 (tan.f64 (/.f64 x (+.f64 y y))) #s(approx (sin (/ x (* y 2))) (*.f64 (/.f64 x y) #s(literal 1/2 binary64))))
(/.f64 #s(approx (tan (/ x (* y 2))) (.f64 (/.f64 x y) #s(literal 1/2 binary64))) (sin.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))))
(/.f64 (tan.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) #s(approx (sin (/ x ( y 2))) (*.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 #s(approx (+ (* (/ x y) -1/2) (/ (PI) 2)) (.f64 (-.f64 (.f64 (/.f64 (PI.f64) x) #s(literal 1/2 binary64)) (/.f64 #s(literal 1/2 binary64) y)) x)))))
#s(approx (/ (tan (+ (PI) (/ x (* 2 y)))) (sin (/ x (* y 2)))) (/.f64 (fma.f64 (fma.f64 (fma.f64 (fma.f64 (fma.f64 (fma.f64 (/.f64 #s(literal -1/8 binary64) y) (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 0 binary64)) y) (/.f64 #s(literal 1/48 binary64) (.f64 (.f64 y y) y))) y #s(literal 0 binary64)) #s(literal -2 binary64) (.f64 #s(literal 1/12 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 0 binary64)) y))) x #s(literal 0 binary64)) x (.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) y) y #s(literal 0 binary64)) #s(literal 2 binary64))) x #s(literal 0 binary64)) x))
(/.f64 (tan.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) #s(approx (sin (/ x ( y 2))) (.f64 (/.f64 (fma.f64 (/.f64 #s(literal -1/48 binary64) y) (/.f64 (.f64 x x) y) #s(literal 1/2 binary64)) y) x)))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (sin.f64 (/.f64 (-.f64 (.f64 (.f64 #s(literal -1/2 binary64) (/.f64 x y)) (.f64 #s(literal -1/2 binary64) (/.f64 x y))) (.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64)))) (-.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y)) (/.f64 (PI.f64) #s(literal 2 binary64)))))))
(/.f64 (tan.f64 #s(approx (+ (PI) (/ x (* 2 y))) (PI.f64))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
(/.f64 (tan.f64 (/.f64 x (+.f64 y y))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
(/.f64 (tan.f64 (+.f64 (PI.f64) (/.f64 x (+.f64 y y)))) (sin.f64 (/.f64 x (+.f64 y y))))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) #s(approx (sin (+ (* (/ x y) -1/2) (/ (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 #s(literal 1/2 binary64) (PI.f64)))))))
(/.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 (PI.f64) (/.f64 x (*.f64 #s(literal 2 binary64) y)))) (sin.f64 (/.f64 x (+.f64 y y))))
(/.f64 (tan.f64 (+.f64 (PI.f64) (/.f64 x (.f64 #s(literal 2 binary64) y)))) (sin.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))))
#s(approx (/ (tan (+ (PI) (/ x (* 2 y)))) (sin (/ x (* y 2)))) (/.f64 (fma.f64 (fma.f64 (fma.f64 (fma.f64 (fma.f64 (fma.f64 (/.f64 #s(literal -1/8 binary64) y) (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 0 binary64)) y) (/.f64 #s(literal 1/48 binary64) (pow.f64 y #s(literal 3 binary64)))) y #s(literal 0 binary64)) #s(literal -2 binary64) (.f64 #s(literal 1/12 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 0 binary64)) y))) x #s(literal 0 binary64)) x (.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) y) y #s(literal 0 binary64)) #s(literal 2 binary64))) x #s(literal 0 binary64)) x))
(/.f64 (tan.f64 (+.f64 (+.f64 (PI.f64) (/.f64 x (.f64 #s(literal 2 binary64) y))) (PI.f64))) (sin.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))))
(/.f64 (tan.f64 #s(approx (+ (PI) (/ x (* 2 y))) (*.f64 (+.f64 (/.f64 (PI.f64) x) (/.f64 #s(literal 1/2 binary64) y)) x))) (sin.f64 (/.f64 x (+.f64 y y))))
(/.f64 (tan.f64 #s(approx (+ (PI) (/ x (* 2 y))) (.f64 (+.f64 (/.f64 (PI.f64) x) (/.f64 #s(literal 1/2 binary64) y)) x))) (sin.f64 (/.f64 x (.f64 y #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))) (*.f64 #s(literal 1/2 binary64) (/.f64 x y)))))
(/.f64 (/.f64 (sin.f64 (/.f64 x y)) (+.f64 (cos.f64 (/.f64 x y)) #s(literal 1 binary64))) #s(approx (sin (/ x (* y 2))) (*.f64 (/.f64 x y) #s(literal 1/2 binary64))))
(/.f64 (sin.f64 (/.f64 x (.f64 #s(literal 2 binary64) y))) (.f64 (cos.f64 (/.f64 x (.f64 #s(literal 2 binary64) y))) #s(approx (sin (/ x ( y 2))) (*.f64 #s(literal 1/2 binary64) (/.f64 x y)))))
(/.f64 (/.f64 (sin.f64 (/.f64 x (.f64 #s(literal 2 binary64) y))) (cos.f64 (/.f64 x (.f64 #s(literal 2 binary64) y)))) #s(approx (sin (/ x (* y 2))) (*.f64 (/.f64 x y) #s(literal 1/2 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x y))) (/.f64 (-.f64 #s(approx (cos (- (/ x y) (/ (/ x y) 2))) #s(literal 1 binary64)) (cos.f64 (+.f64 (/.f64 x y) (/.f64 (/.f64 x y) #s(literal 2 binary64))))) #s(literal 2 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x y))) (/.f64 (-.f64 (cos.f64 (-.f64 (/.f64 x y) (/.f64 (/.f64 x y) #s(literal 2 binary64)))) #s(approx (cos (+ (/ x y) (/ (/ x y) 2))) #s(literal 1 binary64))) #s(literal 2 binary64)))
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (sin.f64 (+.f64 (/.f64 (neg.f64 x) y) (/.f64 (PI.f64) #s(literal 2 binary64))))) #s(approx (sin (/ x y)) (/.f64 x y))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
(/.f64 (tan.f64 (/.f64 (-.f64 (.f64 (PI.f64) (PI.f64)) (.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64)) (/.f64 (/.f64 x y) #s(literal 2 binary64)))) (-.f64 (PI.f64) (/.f64 (/.f64 x y) #s(literal 2 binary64))))) (sin.f64 (/.f64 x (+.f64 y y))))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x y))) (*.f64 (sin.f64 (/.f64 x y)) (sin.f64 (/.f64 x (+.f64 y y)))))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x y))) (.f64 (sin.f64 (/.f64 x y)) (sin.f64 (/.f64 x (.f64 #s(literal 2 binary64) y)))))
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x y))) (sin.f64 (/.f64 x y))) (sin.f64 (/.f64 x (+.f64 y y))))
(/.f64 #s(approx (tan (+ (PI) (/ x (* 2 y)))) (/.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (sin.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)))) y (.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) (PI.f64))) x)) x)) (sin.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))))
#s(approx (/ (tan (+ (PI) (/ x (* 2 y)))) (sin (/ x (* y 2)))) (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x y))) (sin.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64)))) (sin.f64 (/.f64 x y))))
#s(approx (/ (tan (+ (PI) (/ x (* 2 y)))) (sin (/ x (+ y y)))) (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x y))) (sin.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y)))) (sin.f64 (/.f64 x y))))
#s(approx (/ (- 1 (cos (/ x y))) (* (sin (/ x y)) (sin (/ x (+ y y))))) (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x y))) (sin.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y)))) (sin.f64 (/.f64 x y))))
(/.f64 (/.f64 (sin.f64 (/.f64 x y)) (+.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x y)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x y))) (sin.f64 (/.f64 x y))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
(/.f64 (sin.f64 (/.f64 x (.f64 #s(literal 2 binary64) y))) (.f64 (cos.f64 (/.f64 x (.f64 #s(literal 2 binary64) y))) (sin.f64 (/.f64 x (.f64 #s(literal 2 binary64) y)))))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x y))) #s(approx (/ (- (cos (- (/ x y) (/ (/ x y) 2))) (cos (+ (/ x y) (/ (/ x y) 2)))) 2) (.f64 (-.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) (/.f64 x y))) (cos.f64 (*.f64 #s(literal -3/2 binary64) (/.f64 x y)))) #s(literal 1/2 binary64))))
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (sin.f64 #s(approx (+ (/ (neg x) y) (/ (PI) 2)) (/.f64 (neg.f64 x) y)))) (sin.f64 (/.f64 x y))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
(/.f64 (-.f64 #s(literal 1 binary64) (sin.f64 (+.f64 (/.f64 x y) (/.f64 (PI.f64) #s(literal 2 binary64))))) (*.f64 (sin.f64 (/.f64 x y)) (sin.f64 (/.f64 x (+.f64 y y)))))
(/.f64 (-.f64 #s(literal 1 binary64) (sin.f64 (+.f64 (/.f64 x y) (/.f64 (PI.f64) #s(literal 2 binary64))))) (.f64 (sin.f64 (/.f64 x y)) (sin.f64 (/.f64 x (.f64 #s(literal 2 binary64) y)))))
(/.f64 (tan.f64 (/.f64 x (/.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (fma.f64 y y (-.f64 (.f64 y y) (.f64 y y)))))) #s(approx (sin (/ x (* y 2))) (*.f64 (/.f64 x y) #s(literal 1/2 binary64))))
(/.f64 (/.f64 (neg.f64 (sin.f64 (/.f64 x (.f64 #s(literal 2 binary64) y)))) (cos.f64 (+.f64 (PI.f64) (/.f64 x (.f64 #s(literal 2 binary64) y))))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (sin.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 x y)))) (sin.f64 (/.f64 x y))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (sin.f64 (+.f64 (/.f64 (neg.f64 x) y) (/.f64 (PI.f64) #s(literal 2 binary64))))) (sin.f64 (/.f64 x y))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (sin.f64 #s(approx (+ (/ (neg x) y) (/ (PI) 2)) (.f64 (fma.f64 (/.f64 (PI.f64) x) #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) y)) (neg.f64 x))))) (sin.f64 (/.f64 x y))) (sin.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x y))) (/.f64 (-.f64 (cos.f64 (-.f64 (/.f64 x y) (/.f64 (/.f64 x y) #s(literal 2 binary64)))) (cos.f64 #s(approx (+ (/ x y) (/ (/ x y) 2)) (neg.f64 (/.f64 (*.f64 x #s(literal -3/2 binary64)) y))))) #s(literal 2 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x y))) (/.f64 (-.f64 (cos.f64 (-.f64 (/.f64 x y) (/.f64 (/.f64 x y) #s(literal 2 binary64)))) (cos.f64 (+.f64 (/.f64 x y) (/.f64 (/.f64 x y) #s(literal 2 binary64))))) #s(literal 2 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x y))) (/.f64 (-.f64 (cos.f64 (-.f64 (/.f64 x y) (/.f64 (/.f64 x y) #s(literal 2 binary64)))) (sin.f64 (+.f64 (+.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64)) (/.f64 x y)) (/.f64 (PI.f64) #s(literal 2 binary64))))) #s(literal 2 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x y))) (/.f64 (-.f64 (sin.f64 (+.f64 (-.f64 (/.f64 x y) (/.f64 (/.f64 x y) #s(literal 2 binary64))) (/.f64 (PI.f64) #s(literal 2 binary64)))) (cos.f64 (+.f64 (/.f64 x y) (/.f64 (/.f64 x y) #s(literal 2 binary64))))) #s(literal 2 binary64)))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (sin.f64 (/.f64 (+.f64 (pow.f64 (.f64 #s(literal -1/2 binary64) (/.f64 x y)) #s(literal 3 binary64)) (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64))) (fma.f64 (.f64 #s(literal -1/2 binary64) (/.f64 x y)) (.f64 #s(literal -1/2 binary64) (/.f64 x y)) (-.f64 (.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64))) (.f64 (.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(approx (/ 1 (sin (+ (* (/ x y) -1/2) (/ (PI) 2)))) (fma.f64 (.f64 x (/.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) (PI.f64))) (pow.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) (PI.f64))) #s(literal 2 binary64)))) (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal 1 binary64) (sin.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)))))))
(/.f64 (tan.f64 (+.f64 (PI.f64) (/.f64 x (/.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (fma.f64 y y (-.f64 (.f64 y y) (.f64 y y))))))) (sin.f64 (/.f64 x (+.f64 y y))))
(/.f64 (tan.f64 (+.f64 (PI.f64) (/.f64 x (.f64 #s(literal 2 binary64) y)))) (sin.f64 (/.f64 x (/.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (fma.f64 y y (-.f64 (.f64 y y) (*.f64 y y)))))))
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (sin.f64 (/.f64 x y))) (/.f64 (cos.f64 (/.f64 x y)) (sin.f64 (/.f64 x y)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x y))) (/.f64 (-.f64 (cos.f64 (/.f64 (-.f64 (.f64 (/.f64 x y) (/.f64 x y)) (.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64)) (/.f64 (/.f64 x y) #s(literal 2 binary64)))) (+.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64)) (/.f64 x y)))) (cos.f64 (+.f64 (/.f64 x y) (/.f64 (/.f64 x y) #s(literal 2 binary64))))) #s(literal 2 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x y))) (/.f64 (.f64 #s(literal -2 binary64) (.f64 (sin.f64 (/.f64 (-.f64 (-.f64 (/.f64 x y) (/.f64 (/.f64 x y) #s(literal 2 binary64))) (+.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64)) (/.f64 x y))) #s(literal 2 binary64))) (sin.f64 (/.f64 (+.f64 (-.f64 (/.f64 x y) (/.f64 (/.f64 x y) #s(literal 2 binary64))) (+.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64)) (/.f64 x y))) #s(literal 2 binary64))))) #s(literal 2 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 (/.f64 x y)) #s(literal 2 binary64))) (.f64 (+.f64 (cos.f64 (/.f64 x y)) #s(literal 1 binary64)) (.f64 (sin.f64 (/.f64 x y)) (sin.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y))))))
(/.f64 (/.f64 (+.f64 (tan.f64 (/.f64 x (.f64 #s(literal 2 binary64) y))) (tan.f64 (PI.f64))) (-.f64 #s(literal 1 binary64) (.f64 (tan.f64 (/.f64 x (.f64 #s(literal 2 binary64) y))) (tan.f64 (PI.f64))))) (sin.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))))
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (.f64 (cos.f64 (/.f64 x y)) (cos.f64 (/.f64 x y)))) (+.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x y)))) (.f64 (sin.f64 (/.f64 x y)) (sin.f64 (/.f64 x (+.f64 y y)))))
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (.f64 (cos.f64 (/.f64 x y)) (cos.f64 (/.f64 x y)))) (+.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x y)))) (.f64 (sin.f64 (/.f64 x y)) (sin.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y)))))
(-.f64 (/.f64 #s(literal 1 binary64) (.f64 (sin.f64 (/.f64 x y)) (sin.f64 (/.f64 x (.f64 #s(literal 2 binary64) y))))) (/.f64 (cos.f64 (/.f64 x y)) (.f64 (sin.f64 (/.f64 x y)) (sin.f64 (/.f64 x (.f64 #s(literal 2 binary64) y))))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 (/.f64 x y)) #s(literal 3 binary64))) (.f64 (fma.f64 (cos.f64 (/.f64 x y)) (+.f64 (cos.f64 (/.f64 x y)) #s(literal 1 binary64)) #s(literal 1 binary64)) (.f64 (sin.f64 (/.f64 x y)) (sin.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y))))))
(-.f64 (/.f64 (pow.f64 (sin.f64 (/.f64 x y)) #s(literal -1 binary64)) (sin.f64 (/.f64 x (.f64 #s(literal 2 binary64) y)))) (/.f64 (/.f64 (cos.f64 (/.f64 x y)) (sin.f64 (/.f64 x y))) (sin.f64 (/.f64 x (.f64 #s(literal 2 binary64) y)))))
(/.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 (cos.f64 (/.f64 x y)) #s(literal 1 binary64))) (/.f64 (pow.f64 (cos.f64 (/.f64 x y)) #s(literal 2 binary64)) (+.f64 (cos.f64 (/.f64 x y)) #s(literal 1 binary64)))) (sin.f64 (/.f64 x y))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x y))) (/.f64 (/.f64 (-.f64 (pow.f64 (cos.f64 (-.f64 (/.f64 x y) (/.f64 (/.f64 x y) #s(literal 2 binary64)))) #s(literal 3 binary64)) (pow.f64 (cos.f64 (+.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64)) (/.f64 x y))) #s(literal 3 binary64))) (fma.f64 (cos.f64 (-.f64 (/.f64 x y) (/.f64 (/.f64 x y) #s(literal 2 binary64)))) (cos.f64 (-.f64 (/.f64 x y) (/.f64 (/.f64 x y) #s(literal 2 binary64)))) (fma.f64 (cos.f64 (+.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64)) (/.f64 x y))) (cos.f64 (+.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64)) (/.f64 x y))) (*.f64 (cos.f64 (-.f64 (/.f64 x y) (/.f64 (/.f64 x y) #s(literal 2 binary64)))) (cos.f64 (+.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64)) (/.f64 x y))))))) #s(literal 2 binary64)))

Outputs

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

Calls

5 calls:

62.0ms	(*.f64 y #s(literal 2 binary64))
55.0ms	x
53.0ms	y
22.0ms	(/.f64 x (*.f64 y #s(literal 2 binary64)))
17.0ms	(/.f64 (tan.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))))

Results

Accuracy	Segments	Branch
58.0%	1	`(*.f64 y #s(literal 2 binary64))`
59.8%	2	`(/.f64 x (*.f64 y #s(literal 2 binary64)))`
58.0%	1	`(/.f64 (tan.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))))`
58.0%	1	`x`
58.0%	1	`y`

Compiler

Compiled 23 to 21 computations (8.7% saved)

regimes18.0ms (0.3%)

Memory

26.4MiB live, 26.4MiB allocated; 0ms collecting garbage

Counts

63 → 2

Calls

Call 1

Inputs
#s(approx (/ (tan (+ (PI) (/ x (* 2 y)))) (sin (/ x (* y 2)))) #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 (/.f64 x y) x) (/.f64 #s(literal 1/8 binary64) 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)))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) #s(approx (cos (* -1/2 (/ x y))) (fma.f64 (/.f64 #s(literal -1/8 binary64) y) (/.f64 (*.f64 x x) y) #s(literal 1 binary64)))))
#s(approx (/ (tan (+ (PI) (/ x (* 2 y)))) (sin (/ x (+ y y)))) (.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) x (.f64 (.f64 #s(literal 0 binary64) x) #s(literal 1/2 binary64))) (.f64 y x)) #s(literal 2 binary64) (/.f64 #s(literal 0 binary64) (neg.f64 x))) y))
#s(approx (/ (- 1 (cos (/ x y))) (* (sin (/ x y)) (sin (/ x (+ y y))))) (.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) x (.f64 (.f64 #s(literal 0 binary64) x) #s(literal 1/2 binary64))) (.f64 y x)) #s(literal 2 binary64) (/.f64 #s(literal 0 binary64) (neg.f64 x))) y))
#s(approx (/ (tan (+ (PI) (/ x (* 2 y)))) (sin (/ x (+ y y)))) (/.f64 (.f64 #s(literal 2 binary64) (fma.f64 (.f64 y x) (-.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal 0 binary64) (.f64 #s(literal 1 binary64) y))) (.f64 #s(literal 0 binary64) y))) x))
#s(approx (/ (- 1 (cos (/ x y))) (* (sin (/ x y)) (sin (/ x (+ y y))))) (/.f64 (.f64 #s(literal 2 binary64) (fma.f64 (.f64 y x) (-.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal 0 binary64) (.f64 #s(literal 1 binary64) y))) (.f64 #s(literal 0 binary64) y))) x))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y)))))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (sin.f64 #s(approx (+ (* (/ x y) -1/2) (/ (PI) 2)) (*.f64 #s(literal -1/2 binary64) (/.f64 x y))))))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (sin.f64 #s(approx (+ (* (/ x y) -1/2) (/ (PI) 2)) (*.f64 #s(literal 1/2 binary64) (-.f64 (PI.f64) (/.f64 x y)))))))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (sin.f64 (fma.f64 (/.f64 x y) #s(literal -1/2 binary64) (/.f64 (PI.f64) #s(literal 2 binary64))))))
(/.f64 (tan.f64 (/.f64 x (+.f64 y y))) #s(approx (sin (/ x (* y 2))) (*.f64 (/.f64 x y) #s(literal 1/2 binary64))))
(/.f64 #s(approx (tan (/ x (* y 2))) (.f64 (/.f64 x y) #s(literal 1/2 binary64))) (sin.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))))
(/.f64 (tan.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) #s(approx (sin (/ x ( y 2))) (*.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 #s(approx (+ (* (/ x y) -1/2) (/ (PI) 2)) (.f64 (-.f64 (.f64 (/.f64 (PI.f64) x) #s(literal 1/2 binary64)) (/.f64 #s(literal 1/2 binary64) y)) x)))))
#s(approx (/ (tan (+ (PI) (/ x (* 2 y)))) (sin (/ x (* y 2)))) (/.f64 (fma.f64 (fma.f64 (fma.f64 (fma.f64 (fma.f64 (fma.f64 (/.f64 #s(literal -1/8 binary64) y) (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 0 binary64)) y) (/.f64 #s(literal 1/48 binary64) (.f64 (.f64 y y) y))) y #s(literal 0 binary64)) #s(literal -2 binary64) (.f64 #s(literal 1/12 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 0 binary64)) y))) x #s(literal 0 binary64)) x (.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) y) y #s(literal 0 binary64)) #s(literal 2 binary64))) x #s(literal 0 binary64)) x))
(/.f64 (tan.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) #s(approx (sin (/ x ( y 2))) (.f64 (/.f64 (fma.f64 (/.f64 #s(literal -1/48 binary64) y) (/.f64 (.f64 x x) y) #s(literal 1/2 binary64)) y) x)))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (sin.f64 (/.f64 (-.f64 (.f64 (.f64 #s(literal -1/2 binary64) (/.f64 x y)) (.f64 #s(literal -1/2 binary64) (/.f64 x y))) (.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64)))) (-.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y)) (/.f64 (PI.f64) #s(literal 2 binary64)))))))
(/.f64 (tan.f64 #s(approx (+ (PI) (/ x (* 2 y))) (PI.f64))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
(/.f64 (tan.f64 (/.f64 x (+.f64 y y))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
(/.f64 (tan.f64 (+.f64 (PI.f64) (/.f64 x (+.f64 y y)))) (sin.f64 (/.f64 x (+.f64 y y))))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) #s(approx (sin (+ (* (/ x y) -1/2) (/ (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 #s(literal 1/2 binary64) (PI.f64)))))))
(/.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 (PI.f64) (/.f64 x (*.f64 #s(literal 2 binary64) y)))) (sin.f64 (/.f64 x (+.f64 y y))))
(/.f64 (tan.f64 (+.f64 (PI.f64) (/.f64 x (.f64 #s(literal 2 binary64) y)))) (sin.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))))
#s(approx (/ (tan (+ (PI) (/ x (* 2 y)))) (sin (/ x (* y 2)))) (/.f64 (fma.f64 (fma.f64 (fma.f64 (fma.f64 (fma.f64 (fma.f64 (/.f64 #s(literal -1/8 binary64) y) (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 0 binary64)) y) (/.f64 #s(literal 1/48 binary64) (pow.f64 y #s(literal 3 binary64)))) y #s(literal 0 binary64)) #s(literal -2 binary64) (.f64 #s(literal 1/12 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 0 binary64)) y))) x #s(literal 0 binary64)) x (.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) y) y #s(literal 0 binary64)) #s(literal 2 binary64))) x #s(literal 0 binary64)) x))
(/.f64 (tan.f64 (+.f64 (+.f64 (PI.f64) (/.f64 x (.f64 #s(literal 2 binary64) y))) (PI.f64))) (sin.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))))
(/.f64 (tan.f64 #s(approx (+ (PI) (/ x (* 2 y))) (*.f64 (+.f64 (/.f64 (PI.f64) x) (/.f64 #s(literal 1/2 binary64) y)) x))) (sin.f64 (/.f64 x (+.f64 y y))))
(/.f64 (tan.f64 #s(approx (+ (PI) (/ x (* 2 y))) (.f64 (+.f64 (/.f64 (PI.f64) x) (/.f64 #s(literal 1/2 binary64) y)) x))) (sin.f64 (/.f64 x (.f64 y #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))) (*.f64 #s(literal 1/2 binary64) (/.f64 x y)))))
(/.f64 (/.f64 (sin.f64 (/.f64 x y)) (+.f64 (cos.f64 (/.f64 x y)) #s(literal 1 binary64))) #s(approx (sin (/ x (* y 2))) (*.f64 (/.f64 x y) #s(literal 1/2 binary64))))
(/.f64 (sin.f64 (/.f64 x (.f64 #s(literal 2 binary64) y))) (.f64 (cos.f64 (/.f64 x (.f64 #s(literal 2 binary64) y))) #s(approx (sin (/ x ( y 2))) (*.f64 #s(literal 1/2 binary64) (/.f64 x y)))))
(/.f64 (/.f64 (sin.f64 (/.f64 x (.f64 #s(literal 2 binary64) y))) (cos.f64 (/.f64 x (.f64 #s(literal 2 binary64) y)))) #s(approx (sin (/ x (* y 2))) (*.f64 (/.f64 x y) #s(literal 1/2 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x y))) (/.f64 (-.f64 #s(approx (cos (- (/ x y) (/ (/ x y) 2))) #s(literal 1 binary64)) (cos.f64 (+.f64 (/.f64 x y) (/.f64 (/.f64 x y) #s(literal 2 binary64))))) #s(literal 2 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x y))) (/.f64 (-.f64 (cos.f64 (-.f64 (/.f64 x y) (/.f64 (/.f64 x y) #s(literal 2 binary64)))) #s(approx (cos (+ (/ x y) (/ (/ x y) 2))) #s(literal 1 binary64))) #s(literal 2 binary64)))
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (sin.f64 (+.f64 (/.f64 (neg.f64 x) y) (/.f64 (PI.f64) #s(literal 2 binary64))))) #s(approx (sin (/ x y)) (/.f64 x y))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
(/.f64 (tan.f64 (/.f64 (-.f64 (.f64 (PI.f64) (PI.f64)) (.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64)) (/.f64 (/.f64 x y) #s(literal 2 binary64)))) (-.f64 (PI.f64) (/.f64 (/.f64 x y) #s(literal 2 binary64))))) (sin.f64 (/.f64 x (+.f64 y y))))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x y))) (*.f64 (sin.f64 (/.f64 x y)) (sin.f64 (/.f64 x (+.f64 y y)))))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x y))) (.f64 (sin.f64 (/.f64 x y)) (sin.f64 (/.f64 x (.f64 #s(literal 2 binary64) y)))))
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x y))) (sin.f64 (/.f64 x y))) (sin.f64 (/.f64 x (+.f64 y y))))
(/.f64 #s(approx (tan (+ (PI) (/ x (* 2 y)))) (/.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (sin.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)))) y (.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) (PI.f64))) x)) x)) (sin.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))))
#s(approx (/ (tan (+ (PI) (/ x (* 2 y)))) (sin (/ x (* y 2)))) (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x y))) (sin.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64)))) (sin.f64 (/.f64 x y))))
#s(approx (/ (tan (+ (PI) (/ x (* 2 y)))) (sin (/ x (+ y y)))) (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x y))) (sin.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y)))) (sin.f64 (/.f64 x y))))
#s(approx (/ (- 1 (cos (/ x y))) (* (sin (/ x y)) (sin (/ x (+ y y))))) (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x y))) (sin.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y)))) (sin.f64 (/.f64 x y))))
(/.f64 (/.f64 (sin.f64 (/.f64 x y)) (+.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x y)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x y))) (sin.f64 (/.f64 x y))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
(/.f64 (sin.f64 (/.f64 x (.f64 #s(literal 2 binary64) y))) (.f64 (cos.f64 (/.f64 x (.f64 #s(literal 2 binary64) y))) (sin.f64 (/.f64 x (.f64 #s(literal 2 binary64) y)))))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x y))) #s(approx (/ (- (cos (- (/ x y) (/ (/ x y) 2))) (cos (+ (/ x y) (/ (/ x y) 2)))) 2) (.f64 (-.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) (/.f64 x y))) (cos.f64 (*.f64 #s(literal -3/2 binary64) (/.f64 x y)))) #s(literal 1/2 binary64))))
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (sin.f64 #s(approx (+ (/ (neg x) y) (/ (PI) 2)) (/.f64 (neg.f64 x) y)))) (sin.f64 (/.f64 x y))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
(/.f64 (-.f64 #s(literal 1 binary64) (sin.f64 (+.f64 (/.f64 x y) (/.f64 (PI.f64) #s(literal 2 binary64))))) (*.f64 (sin.f64 (/.f64 x y)) (sin.f64 (/.f64 x (+.f64 y y)))))
(/.f64 (-.f64 #s(literal 1 binary64) (sin.f64 (+.f64 (/.f64 x y) (/.f64 (PI.f64) #s(literal 2 binary64))))) (.f64 (sin.f64 (/.f64 x y)) (sin.f64 (/.f64 x (.f64 #s(literal 2 binary64) y)))))
(/.f64 (tan.f64 (/.f64 x (/.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (fma.f64 y y (-.f64 (.f64 y y) (.f64 y y)))))) #s(approx (sin (/ x (* y 2))) (*.f64 (/.f64 x y) #s(literal 1/2 binary64))))
(/.f64 (/.f64 (neg.f64 (sin.f64 (/.f64 x (.f64 #s(literal 2 binary64) y)))) (cos.f64 (+.f64 (PI.f64) (/.f64 x (.f64 #s(literal 2 binary64) y))))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (sin.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 x y)))) (sin.f64 (/.f64 x y))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (sin.f64 (+.f64 (/.f64 (neg.f64 x) y) (/.f64 (PI.f64) #s(literal 2 binary64))))) (sin.f64 (/.f64 x y))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (sin.f64 #s(approx (+ (/ (neg x) y) (/ (PI) 2)) (.f64 (fma.f64 (/.f64 (PI.f64) x) #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) y)) (neg.f64 x))))) (sin.f64 (/.f64 x y))) (sin.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x y))) (/.f64 (-.f64 (cos.f64 (-.f64 (/.f64 x y) (/.f64 (/.f64 x y) #s(literal 2 binary64)))) (cos.f64 #s(approx (+ (/ x y) (/ (/ x y) 2)) (neg.f64 (/.f64 (*.f64 x #s(literal -3/2 binary64)) y))))) #s(literal 2 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x y))) (/.f64 (-.f64 (cos.f64 (-.f64 (/.f64 x y) (/.f64 (/.f64 x y) #s(literal 2 binary64)))) (cos.f64 (+.f64 (/.f64 x y) (/.f64 (/.f64 x y) #s(literal 2 binary64))))) #s(literal 2 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x y))) (/.f64 (-.f64 (cos.f64 (-.f64 (/.f64 x y) (/.f64 (/.f64 x y) #s(literal 2 binary64)))) (sin.f64 (+.f64 (+.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64)) (/.f64 x y)) (/.f64 (PI.f64) #s(literal 2 binary64))))) #s(literal 2 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x y))) (/.f64 (-.f64 (sin.f64 (+.f64 (-.f64 (/.f64 x y) (/.f64 (/.f64 x y) #s(literal 2 binary64))) (/.f64 (PI.f64) #s(literal 2 binary64)))) (cos.f64 (+.f64 (/.f64 x y) (/.f64 (/.f64 x y) #s(literal 2 binary64))))) #s(literal 2 binary64)))

Outputs

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

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

Calls

1 calls:

14.0ms

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

Results

Accuracy	Segments	Branch
59.8%	2	`(/.f64 x (*.f64 y #s(literal 2 binary64)))`

Compiler

Compiled 5 to 5 computations (0% saved)

regimes29.0ms (0.6%)

Memory

-36.9MiB live, 7.9MiB allocated; 7ms collecting garbage

Counts

12 → 2

Calls

Call 1

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

Outputs

#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)))))

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

Calls

1 calls:

28.0ms

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

Results

Accuracy	Segments	Branch
59.7%	2	`(/.f64 x (*.f64 y #s(literal 2 binary64)))`

Compiler

Compiled 5 to 5 computations (0% saved)

regimes7.0ms (0.1%)

Memory

12.4MiB live, 12.4MiB allocated; 0ms collecting garbage

Counts

10 → 1

Calls

Call 1

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

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

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
58.0%	1	`(/.f64 (tan.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))))`
58.0%	1	`(/.f64 x (*.f64 y #s(literal 2 binary64)))`

Compiler

Compiled 18 to 13 computations (27.8% saved)

regimes6.0ms (0.1%)

Memory

13.7MiB live, 13.7MiB allocated; 0ms collecting garbage

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

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

Outputs
#s(approx (/ (tan (+ (PI) (/ x (* 2 y)))) (sin (/ x (* y 2)))) #s(literal 0 binary64))

Calls

5 calls:

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

Results

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

Compiler

Compiled 23 to 21 computations (8.7% saved)

bsearch1.0ms (0%)

Memory

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

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	5.720782071434608e+19	1.5073796143355768e+22

Compiler

Compiled 12 to 13 computations (-8.3% saved)

bsearch1.0ms (0%)

Memory

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

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	58711961372704090.0	2.911133342105404e+19

Compiler

Compiled 12 to 13 computations (-8.3% saved)

bsearch0.0ms (0%)

Memory

0.5MiB live, 0.5MiB allocated; 0ms collecting garbage

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	5.720782071434608e+19	1.5073796143355768e+22

Compiler

Compiled 12 to 13 computations (-8.3% saved)

simplify67.0ms (1.3%)

Memory

-20.9MiB live, 71.1MiB allocated; 30ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	58	214
1	82	214
2	130	214
3	229	214
4	663	214
5	4529	214

Stop Event

1×	node limit

Calls

Call 1

Inputs
(if (<=.f64 (/.f64 x (.f64 y #s(literal 2 binary64))) #s(literal 100000000000000000000 binary64)) #s(approx (/ (tan (/ x ( y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (sin.f64 (/.f64 (+.f64 (pow.f64 (.f64 #s(literal -1/2 binary64) (/.f64 x y)) #s(literal 3 binary64)) (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64))) (fma.f64 (.f64 #s(literal -1/2 binary64) (/.f64 x y)) (.f64 #s(literal -1/2 binary64) (/.f64 x y)) (-.f64 (.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64))) (.f64 (.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)))
(if (<=.f64 (/.f64 x (.f64 y #s(literal 2 binary64))) #s(literal 100000000000000000 binary64)) #s(approx (/ (tan (/ x ( y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (sin.f64 #s(approx (+ (* (/ x y) -1/2) (/ (PI) 2)) (.f64 #s(literal 1/2 binary64) (-.f64 (PI.f64) (/.f64 x y))))))) #s(approx (/ (tan (/ x ( y 2))) (sin (/ x (* y 2)))) #s(literal 1 binary64)))
(if (<=.f64 (/.f64 x (.f64 y #s(literal 2 binary64))) #s(literal 100000000000000000000 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))))) #s(approx (/ (tan (/ x ( y 2))) (sin (/ x (* y 2)))) #s(literal 1 binary64)))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(literal 1 binary64))
#s(approx (/ (tan (+ (PI) (/ x (* 2 y)))) (sin (/ x (* y 2)))) #s(literal 0 binary64))

Outputs
(if (<=.f64 (/.f64 x (.f64 y #s(literal 2 binary64))) #s(literal 100000000000000000000 binary64)) #s(approx (/ (tan (/ x ( y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (sin.f64 (/.f64 (+.f64 (pow.f64 (.f64 #s(literal -1/2 binary64) (/.f64 x y)) #s(literal 3 binary64)) (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64))) (fma.f64 (.f64 #s(literal -1/2 binary64) (/.f64 x y)) (.f64 #s(literal -1/2 binary64) (/.f64 x y)) (-.f64 (.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64))) (.f64 (.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)))
(if (<=.f64 (/.f64 x (.f64 y #s(literal 2 binary64))) #s(literal 100000000000000000000 binary64)) #s(approx (/ (tan (+ (PI) (/ x ( 2 y)))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (sin.f64 (/.f64 (+.f64 (pow.f64 (.f64 #s(literal -1/2 binary64) (/.f64 x y)) #s(literal 3 binary64)) (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64))) (fma.f64 (.f64 #s(literal -1/2 binary64) (/.f64 x y)) (.f64 #s(literal -1/2 binary64) (/.f64 x y)) (-.f64 (.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64))) (.f64 (.f64 #s(literal -1/2 binary64) (/.f64 x y)) (/.f64 (PI.f64) #s(literal 2 binary64))))))))) #s(approx (/ (tan (+ (PI) (/ x (* 2 y)))) (sin (/ x (* y 2)))) #s(literal 1 binary64)))
(if (<=.f64 (/.f64 x (.f64 y #s(literal 2 binary64))) #s(literal 100000000000000000 binary64)) #s(approx (/ (tan (/ x ( y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (sin.f64 #s(approx (+ (* (/ x y) -1/2) (/ (PI) 2)) (.f64 #s(literal 1/2 binary64) (-.f64 (PI.f64) (/.f64 x y))))))) #s(approx (/ (tan (/ x ( y 2))) (sin (/ x (* y 2)))) #s(literal 1 binary64)))
(if (<=.f64 (/.f64 x (.f64 y #s(literal 2 binary64))) #s(literal 100000000000000000 binary64)) #s(approx (/ (tan (+ (PI) (/ x ( 2 y)))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (sin.f64 #s(approx (+ (* (/ x y) -1/2) (/ (PI) 2)) (.f64 #s(literal 1/2 binary64) (-.f64 (PI.f64) (/.f64 x y))))))) #s(approx (/ (tan (+ (PI) (/ x ( 2 y)))) (sin (/ x (* y 2)))) #s(literal 1 binary64)))
(if (<=.f64 (/.f64 x (.f64 y #s(literal 2 binary64))) #s(literal 100000000000000000000 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))))) #s(approx (/ (tan (/ x ( y 2))) (sin (/ x (* y 2)))) #s(literal 1 binary64)))
(if (<=.f64 (/.f64 x (.f64 y #s(literal 2 binary64))) #s(literal 100000000000000000000 binary64)) #s(approx (/ (tan (+ (PI) (/ x ( 2 y)))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (cos.f64 (.f64 #s(literal -1/2 binary64) (/.f64 x y))))) #s(approx (/ (tan (+ (PI) (/ x ( 2 y)))) (sin (/ x (* y 2)))) #s(literal 1 binary64)))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(literal 1 binary64))
#s(approx (/ (tan (+ (PI) (/ x (* 2 y)))) (sin (/ x (* y 2)))) #s(literal 1 binary64))
#s(approx (/ (tan (+ (PI) (/ x (* 2 y)))) (sin (/ x (* y 2)))) #s(literal 0 binary64))

derivations177.0ms (3.4%)

Memory

-18.9MiB live, 139.4MiB allocated; 57ms collecting garbage

Stop Event

1×

fuel

Compiler

Compiled 230 to 58 computations (74.8% saved)

preprocess72.0ms (1.4%)

Memory: 31.1MiB live, 122.5MiB allocated; 11ms collecting garbage
Compiler: Compiled 1 238 to 464 computations (62.5% saved)

end0.0ms (0%)

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

start0.0ms (0%)

analyze285.0ms (5.5%)

sample1.9s (37.2%)

explain237.0ms (4.6%)

preprocess179.0ms (3.4%)

eval0.0ms (0%)

prune0.0ms (0%)

series23.0ms (0.4%)

simplify247.0ms (4.8%)

rewrite72.0ms (1.4%)

eval11.0ms (0.2%)

prune26.0ms (0.5%)

series57.0ms (1.1%)

simplify272.0ms (5.2%)

rewrite87.0ms (1.7%)

eval99.0ms (1.9%)

prune55.0ms (1.1%)

series57.0ms (1.1%)

simplify197.0ms (3.8%)

rewrite75.0ms (1.5%)

eval41.0ms (0.8%)

prune37.0ms (0.7%)

series79.0ms (1.5%)

simplify204.0ms (3.9%)

rewrite66.0ms (1.3%)

eval176.0ms (3.4%)

prune85.0ms (1.6%)

regimes215.0ms (4.1%)

regimes18.0ms (0.3%)

regimes29.0ms (0.6%)

regimes7.0ms (0.1%)

regimes6.0ms (0.1%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch0.0ms (0%)

simplify67.0ms (1.3%)

derivations177.0ms (3.4%)

preprocess72.0ms (1.4%)

end0.0ms (0%)

Profiling