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

analyze209.0ms (4.6%)

Memory

-25.6MiB live, 255.4MiB allocated; 52ms collecting garbage

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	99.9%	0.1%	0%	0%	0%	0
0%	0%	99.9%	0.1%	0%	0%	0%	1
0%	0%	99.9%	0.1%	0%	0%	0%	2
0%	0%	99.9%	0.1%	0%	0%	0%	3
0%	0%	99.9%	0.1%	0%	0%	0%	4
0%	0%	99.9%	0.1%	0%	0%	0%	5
0%	0%	99.9%	0.1%	0%	0%	0%	6
12.5%	12.5%	87.4%	0.1%	0%	0%	0%	7
15.6%	15.6%	84.3%	0.1%	0%	0%	0%	8
28.1%	28.1%	71.8%	0.1%	0%	0%	0%	9
30.5%	30.4%	69.5%	0.1%	0%	0%	0%	10
38.3%	38.2%	61.7%	0.1%	0%	0%	0%	11
39.6%	39.6%	60.3%	0.1%	0%	0%	0%	12

Compiler

Compiled 15 to 10 computations (33.3% saved)

sample2.0s (44.9%)

Memory

5.2MiB live, 1 925.3MiB allocated; 587ms collecting garbage

Samples

1.0s	4 074×	1	valid
374.0ms	4 182×	0	valid

Precisions

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

ival-sin: 299.0ms (28.1% of total)

ival-tan: 251.0ms (23.6% of total)

ival-div: 223.0ms (21% of total)

ival-mult: 167.0ms (15.7% of total)

adjust: 114.0ms (10.7% of total)

exact: 7.0ms (0.7% of total)

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

Bogosity

explain222.0ms (4.9%)

Memory

-9.2MiB live, 231.7MiB allocated; 51ms collecting garbage

FPErrors

Click to see full error table

Ground Truth	Example	Underpredictions	Example	Subexpression
127	-	1	(-4.8419309094499744e-306 -3.3652826766929195e-308)	`(tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))`
127	-	1	(-4.8419309094499744e-306 -3.3652826766929195e-308)	`(sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))`
32	-	0	-	`(/.f64 (tan.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))))`
0	-	0	-	`y`
0	-	0	-	`#s(literal 2 binary64)`
0	-	0	-	`(/.f64 x (*.f64 y #s(literal 2 binary64)))`
0	-	0	-	`x`
0	-	0	-	`(*.f64 y #s(literal 2 binary64))`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`sin.f64`	`(sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))`	sensitivity	97	1
`tan.f64`	`(tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))`	sensitivity	97	1
`/.f64`	`(/.f64 (tan.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))))`	u/u	32	0
↳	`(/.f64 x (*.f64 y #s(literal 2 binary64)))`	underflow	32
↳	`(tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))`	underflow	32
↳	`(/.f64 x (*.f64 y #s(literal 2 binary64)))`	underflow	32
↳	`(sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))`	underflow	32
`sin.f64`	`(sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))`	oflow-rescue	29	0
↳	`(/.f64 x (*.f64 y #s(literal 2 binary64)))`	overflow	29
`tan.f64`	`(tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))`	oflow-rescue	29	0
↳	`(/.f64 x (*.f64 y #s(literal 2 binary64)))`	overflow	29

Confusion

	Predicted +	Predicted -
+	158	0
-	0	98

Precision

1.0

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	158	0	0
-	0	1	97

Precision?

0.9937106918238994

Recall?

1.0

Freqs

test

number	freq
0	98
1	32
2	126

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

71.0ms	252×	1	valid
18.0ms	260×	0	valid

Compiler

Compiled 89 to 28 computations (68.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 70.0ms

ival-sin: 39.0ms (55.8% of total)

ival-tan: 11.0ms (15.7% of total)

ival-div: 10.0ms (14.3% of total)

adjust: 5.0ms (7.2% of total)

ival-mult: 4.0ms (5.7% of total)

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

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

exact: 0.0ms (0% of total)

preprocess197.0ms (4.4%)

Memory

38.9MiB live, 226.2MiB allocated; 18ms 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

0.8MiB live, 0.8MiB allocated; 0ms collecting garbage

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	43.4%	(/.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)

series21.0ms (0.5%)

Memory

-9.8MiB live, 36.7MiB allocated; 3ms 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))))
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))))
3.0ms	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))))
3.0ms	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))))
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))))

rewrite220.0ms (4.9%)

Memory

2.7MiB live, 280.3MiB allocated; 63ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	363	2187
0	371	1940
1	2320	1930
0	8093	1830

Stop Event

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

Counts

45 → 57

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))))
#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))))
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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 (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
(/.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 (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)))
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(/.f64 (neg.f64 (sin.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64)))) (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 (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))
x
(*.f64 #s(literal 2 binary64) y)
(*.f64 y #s(literal 2 binary64))
(+.f64 y y)
y
#s(literal 2 binary64)
(sin.f64 (/.f64 (/.f64 x y) #s(literal 2 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 (.f64 x x) (.f64 y y)) #s(literal 1/8 binary64) #s(literal 1 binary64)))
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#s(approx (tan (/ x (* y 2))) (*.f64 (/.f64 x y) #s(literal 1/2 binary64)))
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#s(approx (tan (/ x (* y 2))) (.f64 (fma.f64 (fma.f64 (fma.f64 (pow.f64 y #s(literal -5 binary64)) #s(literal 1/240 binary64) (/.f64 (.f64 #s(literal 17/40320 binary64) (.f64 x x)) (pow.f64 y #s(literal 7 binary64)))) (.f64 x x) (.f64 (pow.f64 y #s(literal -3 binary64)) #s(literal 1/24 binary64))) (.f64 x x) (/.f64 #s(literal 1/2 binary64) y)) x))
#s(approx (/ x (* y 2)) (*.f64 (/.f64 x y) #s(literal 1/2 binary64)))
#s(approx x x)
#s(approx (sin (/ x (* y 2))) (*.f64 (/.f64 x y) #s(literal 1/2 binary64)))
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#s(approx (sin (/ x (* y 2))) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/645120 binary64) (/.f64 (.f64 x x) (pow.f64 y #s(literal 7 binary64))) (.f64 #s(literal 1/3840 binary64) (pow.f64 y #s(literal -5 binary64)))) (.f64 x x) (.f64 #s(literal -1/48 binary64) (pow.f64 y #s(literal -3 binary64)))) (.f64 x x) (/.f64 #s(literal 1/2 binary64) y)) x))
#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)))
#s(approx (tan (/ x (* y 2))) (tan.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64))))
#s(approx (sin (/ x (* y 2))) (sin.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64))))
#s(approx (* y 2) (*.f64 #s(literal 2 binary64) y))
#s(approx y y)
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (-.f64 (fma.f64 (/.f64 (/.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/24 binary64)) x) (.f64 y y)) #s(literal 2 binary64) #s(literal 1 binary64)) (/.f64 (.f64 #s(literal -1/24 binary64) (.f64 x x)) (*.f64 y y))))
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#s(approx (tan (/ x (* y 2))) (/.f64 (fma.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (.f64 y y)) #s(literal -1/48 binary64) (-.f64 (.f64 #s(literal 1/2 binary64) x) (/.f64 (.f64 #s(literal -1/16 binary64) (pow.f64 x #s(literal 3 binary64))) (.f64 y y)))) y))
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#s(approx (sin (/ x (* y 2))) (/.f64 (fma.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (.f64 y y)) #s(literal -1/48 binary64) (.f64 #s(literal 1/2 binary64) x)) y))
#s(approx (sin (/ x (* y 2))) (/.f64 (fma.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (.f64 y y)) #s(literal -1/48 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 (sin (/ x (* y 2))) (/.f64 (fma.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (.f64 y y)) #s(literal -1/48 binary64) (fma.f64 (/.f64 (pow.f64 x #s(literal 7 binary64)) (pow.f64 y #s(literal 6 binary64))) #s(literal -1/645120 binary64) (fma.f64 (/.f64 (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)))) (-.f64 (fma.f64 (/.f64 (/.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/24 binary64)) x) (.f64 y y)) #s(literal -2 binary64) #s(literal 1 binary64)) (/.f64 (.f64 #s(literal -1/24 binary64) (.f64 x x)) (*.f64 y y))))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (-.f64 (fma.f64 #s(literal -2 binary64) (+.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 (pow.f64 y #s(literal 4 binary64)) x)) (/.f64 (/.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/24 binary64)) x) (.f64 y y))) #s(literal 1 binary64)) (fma.f64 (/.f64 (.f64 (fma.f64 (/.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/24 binary64)) x) #s(literal -2 binary64) (.f64 #s(literal 1/24 binary64) (.f64 x x))) (.f64 x x)) (pow.f64 y #s(literal 4 binary64))) #s(literal -1/24 binary64) (fma.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) #s(literal 1/1920 binary64) (/.f64 (.f64 #s(literal -1/24 binary64) (.f64 x x)) (.f64 y y))))))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (-.f64 (+.f64 (fma.f64 (/.f64 (-.f64 (.f64 #s(literal -1/3840 binary64) (pow.f64 x #s(literal 5 binary64))) (fma.f64 (.f64 #s(literal -1/8 binary64) (.f64 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 (pow.f64 y #s(literal 4 binary64)) x)) #s(literal -2 binary64) (.f64 #s(literal -2 binary64) (+.f64 (/.f64 (-.f64 (.f64 #s(literal 1/645120 binary64) (pow.f64 x #s(literal 7 binary64))) (fma.f64 (.f64 #s(literal -1/8 binary64) (.f64 x x)) (-.f64 (.f64 #s(literal -1/3840 binary64) (pow.f64 x #s(literal 5 binary64))) (fma.f64 (.f64 #s(literal -1/8 binary64) (.f64 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))))) (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)))))) (.f64 (pow.f64 y #s(literal 6 binary64)) x)) (/.f64 (/.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/24 binary64)) x) (.f64 y y))))) #s(literal 1 binary64)) (fma.f64 (.f64 (.f64 x x) (/.f64 (-.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))))) x) #s(literal -2 binary64)) (fma.f64 (.f64 (fma.f64 (/.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/24 binary64)) x) #s(literal -2 binary64) (.f64 #s(literal 1/24 binary64) (.f64 x x))) (.f64 x x)) #s(literal -1/24 binary64) (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/1920 binary64)))) (pow.f64 y #s(literal 6 binary64)))) #s(literal -1/24 binary64) (fma.f64 (/.f64 (.f64 (fma.f64 (/.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/24 binary64)) x) #s(literal -2 binary64) (.f64 #s(literal 1/24 binary64) (.f64 x x))) (.f64 x x)) (pow.f64 y #s(literal 4 binary64))) #s(literal -1/24 binary64) (fma.f64 #s(literal -1/24 binary64) (/.f64 (.f64 x x) (.f64 y y)) (fma.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal 6 binary64))) #s(literal -1/322560 binary64) (.f64 #s(literal 1/1920 binary64) (fma.f64 (pow.f64 x #s(literal 4 binary64)) (/.f64 (fma.f64 (/.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/24 binary64)) x) #s(literal -2 binary64) (.f64 #s(literal 1/24 binary64) (.f64 x x))) (pow.f64 y #s(literal 6 binary64))) (/.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64)))))))))))
#s(approx (tan (/ x (* y 2))) (neg.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) x (/.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/24 binary64)) (.f64 y y))) y)))
#s(approx (tan (/ x (* y 2))) (neg.f64 (/.f64 (-.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))) (/.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/48 binary64)) (.f64 y y)))) (fma.f64 (/.f64 (.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/24 binary64)) (.f64 x x)) (pow.f64 y #s(literal 4 binary64))) #s(literal -1/8 binary64) (fma.f64 #s(literal -1/768 binary64) (/.f64 (pow.f64 x #s(literal 5 binary64)) (pow.f64 y #s(literal 4 binary64))) (/.f64 (.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal 3 binary64))) (*.f64 y y))))) y)))
#s(approx (tan (/ x (* y 2))) (neg.f64 (/.f64 (-.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 #s(literal 1/645120 binary64) (/.f64 (pow.f64 x #s(literal 7 binary64)) (pow.f64 y #s(literal 6 binary64))) (/.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/48 binary64)) (.f64 y y))))) (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) (fma.f64 (/.f64 (.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/24 binary64)) (.f64 x x)) (pow.f64 y #s(literal 4 binary64))) #s(literal -1/8 binary64) (fma.f64 #s(literal -1/768 binary64) (/.f64 (pow.f64 x #s(literal 5 binary64)) (pow.f64 y #s(literal 4 binary64))) (fma.f64 #s(literal 1/92160 binary64) (/.f64 (pow.f64 x #s(literal 7 binary64)) (pow.f64 y #s(literal 6 binary64))) (fma.f64 (/.f64 (.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))) #s(literal 1/384 binary64) (/.f64 (.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal 3 binary64))) (.f64 y y)))))))) y)))
#s(approx (sin (/ x (* y 2))) (neg.f64 (/.f64 (fma.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (.f64 y y)) #s(literal 1/48 binary64) (.f64 #s(literal -1/2 binary64) x)) y)))
#s(approx (sin (/ x (* y 2))) (neg.f64 (/.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))) (/.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/48 binary64)) (.f64 y y)))) y)))
#s(approx (sin (/ x (* y 2))) (neg.f64 (/.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 #s(literal 1/645120 binary64) (/.f64 (pow.f64 x #s(literal 7 binary64)) (pow.f64 y #s(literal 6 binary64))) (/.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/48 binary64)) (.f64 y y))))) y)))

eval10.0ms (0.2%)

Memory: 18.2MiB live, 18.2MiB allocated; 0ms collecting garbage
Compiler: Compiled 2 487 to 417 computations (83.2% saved)

prune14.0ms (0.3%)

Memory

-28.4MiB live, 20.0MiB allocated; 6ms collecting garbage

Pruning

13 alts after pruning (13 fresh and 0 done)

	Pruned	Kept	Total
New	57	13	70
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	58	13	71

Accuracy

60.4%

Counts

71 → 13

Alt Table

Click to see full alt table

Status	Accuracy	Program
	7.7%	(/.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)))))
	8.0%	(/.f64 (/.f64 (+.f64 (tan.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64))) (tan.f64 (PI.f64))) (-.f64 #s(literal 1 binary64) (.f64 (tan.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64))) (tan.f64 (PI.f64))))) (sin.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))))
▶	43.2%	(/.f64 (/.f64 (sin.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64))) (cos.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
	43.2%	(/.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)))))
	42.2%	(/.f64 (/.f64 (neg.f64 (sin.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64)))) (cos.f64 (+.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64)) (PI.f64)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
	43.4%	(/.f64 (tan.f64 (/.f64 x (+.f64 y y))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
▶	32.2%	(/.f64 (tan.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) #s(approx (sin (/ x ( y 2))) (/.f64 (fma.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (.f64 y y)) #s(literal -1/48 binary64) (.f64 #s(literal 1/2 binary64) x)) y)))
	32.0%	(/.f64 (tan.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) #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)))
▶	38.4%	(/.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))))
	38.2%	(/.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)))))
	46.9%	#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (fma.f64 (/.f64 (.f64 x x) (.f64 y y)) #s(literal 1/8 binary64) #s(literal 1 binary64)))
▶	56.0%	#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)))
▶	54.5%	#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(literal 1 binary64))

Compiler

Compiled 550 to 384 computations (30.2% saved)

series31.0ms (0.7%)

Memory

3.6MiB live, 49.4MiB allocated; 3ms collecting garbage

Counts

33 → 109

Calls

Call 1

Inputs
#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))
(cos.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64)))
(*.f64 (/.f64 x y) #s(literal 1/2 binary64))
(/.f64 x y)
x
y
#s(literal 1/2 binary64)
#s(literal -1 binary64)
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(literal 1 binary64))
#s(literal 1 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 (tan.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) #s(approx (sin (/ x ( y 2))) (/.f64 (fma.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (.f64 y y)) #s(literal -1/48 binary64) (.f64 #s(literal 1/2 binary64) x)) y)))
#s(approx (sin (/ x (* y 2))) (/.f64 (fma.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (.f64 y y)) #s(literal -1/48 binary64) (.f64 #s(literal 1/2 binary64) x)) y))
(/.f64 (fma.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (.f64 y y)) #s(literal -1/48 binary64) (.f64 #s(literal 1/2 binary64) x)) y)
(fma.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (.f64 y y)) #s(literal -1/48 binary64) (.f64 #s(literal 1/2 binary64) x))
(/.f64 (pow.f64 x #s(literal 3 binary64)) (*.f64 y y))
(pow.f64 x #s(literal 3 binary64))
#s(literal 3 binary64)
(*.f64 y y)
#s(literal -1/48 binary64)
(*.f64 #s(literal 1/2 binary64) x)
(/.f64 (/.f64 (sin.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64))) (cos.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
(/.f64 (sin.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64))) (cos.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64))))
(sin.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64)))
(/.f64 (/.f64 x y) #s(literal 2 binary64))
(cos.f64 (/.f64 (/.f64 x 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 (pow (cos (* (/ x y) 1/2)) -1) #s(hole binary64 1))
#s(approx (pow (cos (* (/ x y) 1/2)) -1) #s(hole binary64 (+ 1 (* 1/8 (/ (pow x 2) (pow y 2))))))
#s(approx (pow (cos (* (/ x y) 1/2)) -1) #s(hole binary64 (+ 1 (* (pow x 2) (+ (* 5/384 (/ (pow x 2) (pow y 4))) (* 1/8 (/ 1 (pow y 2))))))))
#s(approx (pow (cos (* (/ x y) 1/2)) -1) #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) 1/2)) #s(hole binary64 1))
#s(approx (cos (* (/ x y) 1/2)) #s(hole binary64 (+ 1 (* -1/8 (/ (pow x 2) (pow y 2))))))
#s(approx (cos (* (/ x y) 1/2)) #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) 1/2)) #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) 1/2) #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 (/ 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 (/ (+ (* (/ (pow x 3) (* y y)) -1/48) (* 1/2 x)) y) #s(hole binary64 (* 1/2 (/ x y))))
#s(approx (/ (+ (* (/ (pow x 3) (* y y)) -1/48) (* 1/2 x)) y) #s(hole binary64 (* x (+ (* -1/48 (/ (pow x 2) (pow y 3))) (* 1/2 (/ 1 y))))))
#s(approx (+ (* (/ (pow x 3) (* y y)) -1/48) (* 1/2 x)) #s(hole binary64 (* 1/2 x)))
#s(approx (+ (* (/ (pow x 3) (* y y)) -1/48) (* 1/2 x)) #s(hole binary64 (* x (+ 1/2 (* -1/48 (/ (pow x 2) (pow y 2)))))))
#s(approx (/ (pow x 3) (* y y)) #s(hole binary64 (/ (pow x 3) (pow y 2))))
#s(approx (pow x 3) #s(hole binary64 (pow x 3)))
#s(approx (* 1/2 x) #s(hole binary64 (* 1/2 x)))
#s(approx (/ (/ (sin (/ (/ x y) 2)) (cos (/ (/ x y) 2))) (sin (/ x (* y 2)))) #s(hole binary64 1))
#s(approx (/ (/ (sin (/ (/ x y) 2)) (cos (/ (/ x y) 2))) (sin (/ x (* y 2)))) #s(hole binary64 (+ 1 (* 1/8 (/ (pow x 2) (pow y 2))))))
#s(approx (/ (/ (sin (/ (/ x y) 2)) (cos (/ (/ 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 (/ (/ (sin (/ (/ x y) 2)) (cos (/ (/ 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 (/ (sin (/ (/ x y) 2)) (cos (/ (/ x y) 2))) #s(hole binary64 (* 1/2 (/ x y))))
#s(approx (/ (sin (/ (/ x y) 2)) (cos (/ (/ x y) 2))) #s(hole binary64 (* x (+ (* 1/24 (/ (pow x 2) (pow y 3))) (* 1/2 (/ 1 y))))))
#s(approx (/ (sin (/ (/ x y) 2)) (cos (/ (/ 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 (/ (sin (/ (/ x y) 2)) (cos (/ (/ 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 (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 (cos (/ (/ x y) 2)) #s(hole binary64 1))
#s(approx (cos (/ (/ x y) 2)) #s(hole binary64 (+ 1 (* -1/8 (/ (pow x 2) (pow y 2))))))
#s(approx (cos (/ (/ 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) 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 (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(hole binary64 (/ 1 (cos (* 1/2 (/ x y))))))
#s(approx (pow (cos (* (/ x y) 1/2)) -1) #s(hole binary64 (/ 1 (cos (* 1/2 (/ x y))))))
#s(approx (cos (* (/ x y) 1/2)) #s(hole binary64 (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 (/ (+ (* (/ (pow x 3) (* y y)) -1/48) (* 1/2 x)) y) #s(hole binary64 (* -1/48 (/ (pow x 3) (pow y 3)))))
#s(approx (/ (+ (* (/ (pow x 3) (* y y)) -1/48) (* 1/2 x)) y) #s(hole binary64 (* (pow x 3) (- (* 1/2 (/ 1 (* (pow x 2) y))) (* 1/48 (/ 1 (pow y 3)))))))
#s(approx (+ (* (/ (pow x 3) (* y y)) -1/48) (* 1/2 x)) #s(hole binary64 (* -1/48 (/ (pow x 3) (pow y 2)))))
#s(approx (+ (* (/ (pow x 3) (* y y)) -1/48) (* 1/2 x)) #s(hole binary64 (* (pow x 3) (- (* 1/2 (/ 1 (pow x 2))) (* 1/48 (/ 1 (pow y 2)))))))
#s(approx (/ (/ (sin (/ (/ x y) 2)) (cos (/ (/ x y) 2))) (sin (/ x (* y 2)))) #s(hole binary64 (/ 1 (cos (* 1/2 (/ x y))))))
#s(approx (/ (sin (/ (/ x y) 2)) (cos (/ (/ 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 (cos (/ (/ x y) 2)) #s(hole binary64 (cos (* 1/2 (/ x y)))))
#s(approx (/ (+ (* (/ (pow x 3) (* y y)) -1/48) (* 1/2 x)) y) #s(hole binary64 (* -1 (* (pow x 3) (- (* 1/48 (/ 1 (pow y 3))) (* 1/2 (/ 1 (* (pow x 2) y))))))))
#s(approx (+ (* (/ (pow x 3) (* y y)) -1/48) (* 1/2 x)) #s(hole binary64 (* -1 (* (pow x 3) (- (* 1/48 (/ 1 (pow y 2))) (* 1/2 (/ 1 (pow x 2))))))))
#s(approx y #s(hole binary64 y))
#s(approx (* y 2) #s(hole binary64 (* 2 y)))
#s(approx (/ (+ (* (/ (pow x 3) (* y y)) -1/48) (* 1/2 x)) y) #s(hole binary64 (/ (+ (* -1/48 (pow x 3)) (* 1/2 (* x (pow y 2)))) (pow y 3))))
#s(approx (+ (* (/ (pow x 3) (* y y)) -1/48) (* 1/2 x)) #s(hole binary64 (/ (+ (* -1/48 (pow x 3)) (* 1/2 (* x (pow y 2)))) (pow y 2))))
#s(approx (* y y) #s(hole binary64 (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))))) (* -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 (pow (cos (* (/ x y) 1/2)) -1) #s(hole binary64 (- (+ 1 (* -1 (/ (+ (* -1/64 (pow x 4)) (* 1/384 (pow x 4))) (pow y 4)))) (* -1/8 (/ (pow x 2) (pow y 2))))))
#s(approx (pow (cos (* (/ x y) 1/2)) -1) #s(hole binary64 (- (+ 1 (* -1 (/ (+ (* -1/46080 (pow x 6)) (+ (* 1/3072 (pow x 6)) (* 1/8 (* (pow x 2) (+ (* -1/64 (pow x 4)) (* 1/384 (pow x 4))))))) (pow y 6)))) (+ (* -1/8 (/ (pow x 2) (pow y 2))) (+ (* -1/64 (/ (pow x 4) (pow y 4))) (* 1/384 (/ (pow x 4) (pow y 4))))))))
#s(approx (cos (* (/ x y) 1/2)) #s(hole binary64 (+ 1 (+ (* -1/8 (/ (pow x 2) (pow y 2))) (* 1/384 (/ (pow x 4) (pow y 4)))))))
#s(approx (cos (* (/ x y) 1/2)) #s(hole binary64 (+ 1 (+ (* -1/8 (/ (pow x 2) (pow y 2))) (+ (* -1/46080 (/ (pow x 6) (pow y 6))) (* 1/384 (/ (pow x 4) (pow y 4))))))))
#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 (/ (+ (* (/ (pow x 3) (* y y)) -1/48) (* 1/2 x)) y) #s(hole binary64 (/ (+ (* -1/48 (/ (pow x 3) (pow y 2))) (* 1/2 x)) y)))
#s(approx (+ (* (/ (pow x 3) (* y y)) -1/48) (* 1/2 x)) #s(hole binary64 (+ (* -1/48 (/ (pow x 3) (pow y 2))) (* 1/2 x))))
#s(approx (/ (/ (sin (/ (/ x y) 2)) (cos (/ (/ x y) 2))) (sin (/ x (* y 2)))) #s(hole binary64 (- (+ 1 (* -1 (/ (+ (* -1/64 (pow x 4)) (* 1/384 (pow x 4))) (pow y 4)))) (* -1/8 (/ (pow x 2) (pow y 2))))))
#s(approx (/ (/ (sin (/ (/ x y) 2)) (cos (/ (/ x y) 2))) (sin (/ x (* y 2)))) #s(hole binary64 (- (+ 1 (* -1 (/ (+ (* -1/46080 (pow x 6)) (+ (* 1/3072 (pow x 6)) (* 1/8 (* (pow x 2) (+ (* -1/64 (pow x 4)) (* 1/384 (pow x 4))))))) (pow y 6)))) (+ (* -1/8 (/ (pow x 2) (pow y 2))) (+ (* -1/64 (/ (pow x 4) (pow y 4))) (* 1/384 (/ (pow x 4) (pow y 4))))))))
#s(approx (/ (sin (/ (/ x y) 2)) (cos (/ (/ 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 (/ (sin (/ (/ x y) 2)) (cos (/ (/ 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 (/ (sin (/ (/ x y) 2)) (cos (/ (/ 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 (cos (/ (/ x y) 2)) #s(hole binary64 (+ 1 (+ (* -1/8 (/ (pow x 2) (pow y 2))) (* 1/384 (/ (pow x 4) (pow y 4)))))))
#s(approx (cos (/ (/ x y) 2)) #s(hole binary64 (+ 1 (+ (* -1/8 (/ (pow x 2) (pow y 2))) (+ (* -1/46080 (/ (pow x 6) (pow y 6))) (* 1/384 (/ (pow x 4) (pow y 4))))))))
#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 (/ (+ (* (/ (pow x 3) (* y y)) -1/48) (* 1/2 x)) y) #s(hole binary64 (* -1 (/ (+ (* -1/2 x) (* 1/48 (/ (pow x 3) (pow y 2)))) y))))
#s(approx (/ (sin (/ (/ x y) 2)) (cos (/ (/ 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 (/ (sin (/ (/ x y) 2)) (cos (/ (/ 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 (/ (sin (/ (/ x y) 2)) (cos (/ (/ 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
7.0ms	x	@	-inf	((/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (pow (cos (* (/ x y) 1/2)) -1) (cos (* (/ x y) 1/2)) (* (/ x y) 1/2) (/ x y) x y 1/2 -1 (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) 1 (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (tan (/ x (* y 2))) (/ x (* y 2)) (* y 2) 2 (sin (/ x (* y 2))) (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (sin (/ x (* y 2))) (/ (+ (* (/ (pow x 3) (* y y)) -1/48) (* 1/2 x)) y) (+ (* (/ (pow x 3) (* y y)) -1/48) (* 1/2 x)) (/ (pow x 3) (* y y)) (pow x 3) 3 (* y y) -1/48 (* 1/2 x) (/ (/ (sin (/ (/ x y) 2)) (cos (/ (/ x y) 2))) (sin (/ x (* y 2)))) (/ (sin (/ (/ x y) 2)) (cos (/ (/ x y) 2))) (sin (/ (/ x y) 2)) (/ (/ x y) 2) (cos (/ (/ x y) 2)) (sin (/ x (* y 2))))
6.0ms	y	@	-inf	((/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (pow (cos (* (/ x y) 1/2)) -1) (cos (* (/ x y) 1/2)) (* (/ x y) 1/2) (/ x y) x y 1/2 -1 (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) 1 (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (tan (/ x (* y 2))) (/ x (* y 2)) (* y 2) 2 (sin (/ x (* y 2))) (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (sin (/ x (* y 2))) (/ (+ (* (/ (pow x 3) (* y y)) -1/48) (* 1/2 x)) y) (+ (* (/ (pow x 3) (* y y)) -1/48) (* 1/2 x)) (/ (pow x 3) (* y y)) (pow x 3) 3 (* y y) -1/48 (* 1/2 x) (/ (/ (sin (/ (/ x y) 2)) (cos (/ (/ x y) 2))) (sin (/ x (* y 2)))) (/ (sin (/ (/ x y) 2)) (cos (/ (/ x y) 2))) (sin (/ (/ x y) 2)) (/ (/ x y) 2) (cos (/ (/ x y) 2)) (sin (/ x (* y 2))))
4.0ms	x	@	inf	((/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (pow (cos (* (/ x y) 1/2)) -1) (cos (* (/ x y) 1/2)) (* (/ x y) 1/2) (/ x y) x y 1/2 -1 (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) 1 (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (tan (/ x (* y 2))) (/ x (* y 2)) (* y 2) 2 (sin (/ x (* y 2))) (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (sin (/ x (* y 2))) (/ (+ (* (/ (pow x 3) (* y y)) -1/48) (* 1/2 x)) y) (+ (* (/ (pow x 3) (* y y)) -1/48) (* 1/2 x)) (/ (pow x 3) (* y y)) (pow x 3) 3 (* y y) -1/48 (* 1/2 x) (/ (/ (sin (/ (/ x y) 2)) (cos (/ (/ x y) 2))) (sin (/ x (* y 2)))) (/ (sin (/ (/ x y) 2)) (cos (/ (/ x y) 2))) (sin (/ (/ x y) 2)) (/ (/ x y) 2) (cos (/ (/ x y) 2)) (sin (/ x (* y 2))))
4.0ms	y	@	inf	((/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (pow (cos (* (/ x y) 1/2)) -1) (cos (* (/ x y) 1/2)) (* (/ x y) 1/2) (/ x y) x y 1/2 -1 (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) 1 (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (tan (/ x (* y 2))) (/ x (* y 2)) (* y 2) 2 (sin (/ x (* y 2))) (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (sin (/ x (* y 2))) (/ (+ (* (/ (pow x 3) (* y y)) -1/48) (* 1/2 x)) y) (+ (* (/ (pow x 3) (* y y)) -1/48) (* 1/2 x)) (/ (pow x 3) (* y y)) (pow x 3) 3 (* y y) -1/48 (* 1/2 x) (/ (/ (sin (/ (/ x y) 2)) (cos (/ (/ x y) 2))) (sin (/ x (* y 2)))) (/ (sin (/ (/ x y) 2)) (cos (/ (/ x y) 2))) (sin (/ (/ x y) 2)) (/ (/ x y) 2) (cos (/ (/ x y) 2)) (sin (/ x (* y 2))))
3.0ms	x	@	0	((/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (pow (cos (* (/ x y) 1/2)) -1) (cos (* (/ x y) 1/2)) (* (/ x y) 1/2) (/ x y) x y 1/2 -1 (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) 1 (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (tan (/ x (* y 2))) (/ x (* y 2)) (* y 2) 2 (sin (/ x (* y 2))) (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (sin (/ x (* y 2))) (/ (+ (* (/ (pow x 3) (* y y)) -1/48) (* 1/2 x)) y) (+ (* (/ (pow x 3) (* y y)) -1/48) (* 1/2 x)) (/ (pow x 3) (* y y)) (pow x 3) 3 (* y y) -1/48 (* 1/2 x) (/ (/ (sin (/ (/ x y) 2)) (cos (/ (/ x y) 2))) (sin (/ x (* y 2)))) (/ (sin (/ (/ x y) 2)) (cos (/ (/ x y) 2))) (sin (/ (/ x y) 2)) (/ (/ x y) 2) (cos (/ (/ x y) 2)) (sin (/ x (* y 2))))

rewrite183.0ms (4%)

Memory

-0.3MiB live, 230.7MiB allocated; 22ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	535	4895
0	575	4322
1	3055	4302
0	8591	4109

Stop Event

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

Counts

142 → 234

Calls

Call 1

Inputs
#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))
(cos.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64)))
(*.f64 (/.f64 x y) #s(literal 1/2 binary64))
(/.f64 x y)
x
y
#s(literal 1/2 binary64)
#s(literal -1 binary64)
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(literal 1 binary64))
#s(literal 1 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 (tan.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) #s(approx (sin (/ x ( y 2))) (/.f64 (fma.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (.f64 y y)) #s(literal -1/48 binary64) (.f64 #s(literal 1/2 binary64) x)) y)))
#s(approx (sin (/ x (* y 2))) (/.f64 (fma.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (.f64 y y)) #s(literal -1/48 binary64) (.f64 #s(literal 1/2 binary64) x)) y))
(/.f64 (fma.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (.f64 y y)) #s(literal -1/48 binary64) (.f64 #s(literal 1/2 binary64) x)) y)
(fma.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (.f64 y y)) #s(literal -1/48 binary64) (.f64 #s(literal 1/2 binary64) x))
(/.f64 (pow.f64 x #s(literal 3 binary64)) (*.f64 y y))
(pow.f64 x #s(literal 3 binary64))
#s(literal 3 binary64)
(*.f64 y y)
#s(literal -1/48 binary64)
(*.f64 #s(literal 1/2 binary64) x)
(/.f64 (/.f64 (sin.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64))) (cos.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
(/.f64 (sin.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64))) (cos.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64))))
(sin.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64)))
(/.f64 (/.f64 x y) #s(literal 2 binary64))
(cos.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64)))
(sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #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 (pow (cos (* (/ x y) 1/2)) -1) #s(hole binary64 1))
#s(approx (pow (cos (* (/ x y) 1/2)) -1) #s(hole binary64 (+ 1 (* 1/8 (/ (pow x 2) (pow y 2))))))
#s(approx (pow (cos (* (/ x y) 1/2)) -1) #s(hole binary64 (+ 1 (* (pow x 2) (+ (* 5/384 (/ (pow x 2) (pow y 4))) (* 1/8 (/ 1 (pow y 2))))))))
#s(approx (pow (cos (* (/ x y) 1/2)) -1) #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) 1/2)) #s(hole binary64 1))
#s(approx (cos (* (/ x y) 1/2)) #s(hole binary64 (+ 1 (* -1/8 (/ (pow x 2) (pow y 2))))))
#s(approx (cos (* (/ x y) 1/2)) #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) 1/2)) #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) 1/2) #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 (/ 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 (/ (+ (* (/ (pow x 3) (* y y)) -1/48) (* 1/2 x)) y) #s(hole binary64 (* 1/2 (/ x y))))
#s(approx (/ (+ (* (/ (pow x 3) (* y y)) -1/48) (* 1/2 x)) y) #s(hole binary64 (* x (+ (* -1/48 (/ (pow x 2) (pow y 3))) (* 1/2 (/ 1 y))))))
#s(approx (+ (* (/ (pow x 3) (* y y)) -1/48) (* 1/2 x)) #s(hole binary64 (* 1/2 x)))
#s(approx (+ (* (/ (pow x 3) (* y y)) -1/48) (* 1/2 x)) #s(hole binary64 (* x (+ 1/2 (* -1/48 (/ (pow x 2) (pow y 2)))))))
#s(approx (/ (pow x 3) (* y y)) #s(hole binary64 (/ (pow x 3) (pow y 2))))
#s(approx (pow x 3) #s(hole binary64 (pow x 3)))
#s(approx (* 1/2 x) #s(hole binary64 (* 1/2 x)))
#s(approx (/ (/ (sin (/ (/ x y) 2)) (cos (/ (/ x y) 2))) (sin (/ x (* y 2)))) #s(hole binary64 1))
#s(approx (/ (/ (sin (/ (/ x y) 2)) (cos (/ (/ x y) 2))) (sin (/ x (* y 2)))) #s(hole binary64 (+ 1 (* 1/8 (/ (pow x 2) (pow y 2))))))
#s(approx (/ (/ (sin (/ (/ x y) 2)) (cos (/ (/ 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 (/ (/ (sin (/ (/ x y) 2)) (cos (/ (/ 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 (/ (sin (/ (/ x y) 2)) (cos (/ (/ x y) 2))) #s(hole binary64 (* 1/2 (/ x y))))
#s(approx (/ (sin (/ (/ x y) 2)) (cos (/ (/ x y) 2))) #s(hole binary64 (* x (+ (* 1/24 (/ (pow x 2) (pow y 3))) (* 1/2 (/ 1 y))))))
#s(approx (/ (sin (/ (/ x y) 2)) (cos (/ (/ 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 (/ (sin (/ (/ x y) 2)) (cos (/ (/ 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 (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 (cos (/ (/ x y) 2)) #s(hole binary64 1))
#s(approx (cos (/ (/ x y) 2)) #s(hole binary64 (+ 1 (* -1/8 (/ (pow x 2) (pow y 2))))))
#s(approx (cos (/ (/ 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) 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 (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(hole binary64 (/ 1 (cos (* 1/2 (/ x y))))))
#s(approx (pow (cos (* (/ x y) 1/2)) -1) #s(hole binary64 (/ 1 (cos (* 1/2 (/ x y))))))
#s(approx (cos (* (/ x y) 1/2)) #s(hole binary64 (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 (/ (+ (* (/ (pow x 3) (* y y)) -1/48) (* 1/2 x)) y) #s(hole binary64 (* -1/48 (/ (pow x 3) (pow y 3)))))
#s(approx (/ (+ (* (/ (pow x 3) (* y y)) -1/48) (* 1/2 x)) y) #s(hole binary64 (* (pow x 3) (- (* 1/2 (/ 1 (* (pow x 2) y))) (* 1/48 (/ 1 (pow y 3)))))))
#s(approx (+ (* (/ (pow x 3) (* y y)) -1/48) (* 1/2 x)) #s(hole binary64 (* -1/48 (/ (pow x 3) (pow y 2)))))
#s(approx (+ (* (/ (pow x 3) (* y y)) -1/48) (* 1/2 x)) #s(hole binary64 (* (pow x 3) (- (* 1/2 (/ 1 (pow x 2))) (* 1/48 (/ 1 (pow y 2)))))))
#s(approx (/ (/ (sin (/ (/ x y) 2)) (cos (/ (/ x y) 2))) (sin (/ x (* y 2)))) #s(hole binary64 (/ 1 (cos (* 1/2 (/ x y))))))
#s(approx (/ (sin (/ (/ x y) 2)) (cos (/ (/ 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 (cos (/ (/ x y) 2)) #s(hole binary64 (cos (* 1/2 (/ x y)))))
#s(approx (/ (+ (* (/ (pow x 3) (* y y)) -1/48) (* 1/2 x)) y) #s(hole binary64 (* -1 (* (pow x 3) (- (* 1/48 (/ 1 (pow y 3))) (* 1/2 (/ 1 (* (pow x 2) y))))))))
#s(approx (+ (* (/ (pow x 3) (* y y)) -1/48) (* 1/2 x)) #s(hole binary64 (* -1 (* (pow x 3) (- (* 1/48 (/ 1 (pow y 2))) (* 1/2 (/ 1 (pow x 2))))))))
#s(approx y #s(hole binary64 y))
#s(approx (* y 2) #s(hole binary64 (* 2 y)))
#s(approx (/ (+ (* (/ (pow x 3) (* y y)) -1/48) (* 1/2 x)) y) #s(hole binary64 (/ (+ (* -1/48 (pow x 3)) (* 1/2 (* x (pow y 2)))) (pow y 3))))
#s(approx (+ (* (/ (pow x 3) (* y y)) -1/48) (* 1/2 x)) #s(hole binary64 (/ (+ (* -1/48 (pow x 3)) (* 1/2 (* x (pow y 2)))) (pow y 2))))
#s(approx (* y y) #s(hole binary64 (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))))) (* -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 (pow (cos (* (/ x y) 1/2)) -1) #s(hole binary64 (- (+ 1 (* -1 (/ (+ (* -1/64 (pow x 4)) (* 1/384 (pow x 4))) (pow y 4)))) (* -1/8 (/ (pow x 2) (pow y 2))))))
#s(approx (pow (cos (* (/ x y) 1/2)) -1) #s(hole binary64 (- (+ 1 (* -1 (/ (+ (* -1/46080 (pow x 6)) (+ (* 1/3072 (pow x 6)) (* 1/8 (* (pow x 2) (+ (* -1/64 (pow x 4)) (* 1/384 (pow x 4))))))) (pow y 6)))) (+ (* -1/8 (/ (pow x 2) (pow y 2))) (+ (* -1/64 (/ (pow x 4) (pow y 4))) (* 1/384 (/ (pow x 4) (pow y 4))))))))
#s(approx (cos (* (/ x y) 1/2)) #s(hole binary64 (+ 1 (+ (* -1/8 (/ (pow x 2) (pow y 2))) (* 1/384 (/ (pow x 4) (pow y 4)))))))
#s(approx (cos (* (/ x y) 1/2)) #s(hole binary64 (+ 1 (+ (* -1/8 (/ (pow x 2) (pow y 2))) (+ (* -1/46080 (/ (pow x 6) (pow y 6))) (* 1/384 (/ (pow x 4) (pow y 4))))))))
#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 (/ (+ (* (/ (pow x 3) (* y y)) -1/48) (* 1/2 x)) y) #s(hole binary64 (/ (+ (* -1/48 (/ (pow x 3) (pow y 2))) (* 1/2 x)) y)))
#s(approx (+ (* (/ (pow x 3) (* y y)) -1/48) (* 1/2 x)) #s(hole binary64 (+ (* -1/48 (/ (pow x 3) (pow y 2))) (* 1/2 x))))
#s(approx (/ (/ (sin (/ (/ x y) 2)) (cos (/ (/ x y) 2))) (sin (/ x (* y 2)))) #s(hole binary64 (- (+ 1 (* -1 (/ (+ (* -1/64 (pow x 4)) (* 1/384 (pow x 4))) (pow y 4)))) (* -1/8 (/ (pow x 2) (pow y 2))))))
#s(approx (/ (/ (sin (/ (/ x y) 2)) (cos (/ (/ x y) 2))) (sin (/ x (* y 2)))) #s(hole binary64 (- (+ 1 (* -1 (/ (+ (* -1/46080 (pow x 6)) (+ (* 1/3072 (pow x 6)) (* 1/8 (* (pow x 2) (+ (* -1/64 (pow x 4)) (* 1/384 (pow x 4))))))) (pow y 6)))) (+ (* -1/8 (/ (pow x 2) (pow y 2))) (+ (* -1/64 (/ (pow x 4) (pow y 4))) (* 1/384 (/ (pow x 4) (pow y 4))))))))
#s(approx (/ (sin (/ (/ x y) 2)) (cos (/ (/ 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 (/ (sin (/ (/ x y) 2)) (cos (/ (/ 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 (/ (sin (/ (/ x y) 2)) (cos (/ (/ 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 (cos (/ (/ x y) 2)) #s(hole binary64 (+ 1 (+ (* -1/8 (/ (pow x 2) (pow y 2))) (* 1/384 (/ (pow x 4) (pow y 4)))))))
#s(approx (cos (/ (/ x y) 2)) #s(hole binary64 (+ 1 (+ (* -1/8 (/ (pow x 2) (pow y 2))) (+ (* -1/46080 (/ (pow x 6) (pow y 6))) (* 1/384 (/ (pow x 4) (pow y 4))))))))
#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 (/ (+ (* (/ (pow x 3) (* y y)) -1/48) (* 1/2 x)) y) #s(hole binary64 (* -1 (/ (+ (* -1/2 x) (* 1/48 (/ (pow x 3) (pow y 2)))) y))))
#s(approx (/ (sin (/ (/ x y) 2)) (cos (/ (/ 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 (/ (sin (/ (/ x y) 2)) (cos (/ (/ 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 (/ (sin (/ (/ x y) 2)) (cos (/ (/ 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 (/ (/ (sin (/ (/ x y) 2)) (cos (/ (/ x y) 2))) (sin (/ x (* y 2)))) (pow.f64 (cos.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64))) #s(literal -1 binary64)))
(.f64 (neg.f64 (pow.f64 (cos.f64 (.f64 (/.f64 x y) #s(literal 1/2 binary64))) #s(literal -1/2 binary64))) (neg.f64 (pow.f64 (cos.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64))) #s(literal -1/2 binary64))))
(.f64 (fabs.f64 (pow.f64 (cos.f64 (.f64 (/.f64 x y) #s(literal 1/2 binary64))) #s(literal -1/2 binary64))) (fabs.f64 (pow.f64 (cos.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64))) #s(literal -1/2 binary64))))
(.f64 (pow.f64 (cos.f64 (.f64 (/.f64 x y) #s(literal 1/2 binary64))) #s(literal -1/2 binary64)) (pow.f64 (cos.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64))) #s(literal -1/2 binary64)))
(pow.f64 (exp.f64 (log.f64 (cos.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64))))) #s(literal -1 binary64))
(pow.f64 (.f64 (cos.f64 (.f64 (/.f64 x y) #s(literal 1/2 binary64))) (cos.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64)))) #s(literal -1/2 binary64))
(pow.f64 (pow.f64 (cos.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64))) #s(literal -1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (cos.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64))) #s(literal -1 binary64))
(/.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64))))
(/.f64 #s(literal -1 binary64) (cos.f64 (fma.f64 (/.f64 x y) #s(literal 1/2 binary64) (PI.f64))))
(exp.f64 (.f64 (log.f64 (cos.f64 (.f64 (/.f64 x y) #s(literal 1/2 binary64)))) #s(literal -1 binary64)))
(+.f64 (cosh.f64 (.f64 (log.f64 (cos.f64 (.f64 (/.f64 x y) #s(literal 1/2 binary64)))) #s(literal -1 binary64))) (sinh.f64 (.f64 (log.f64 (cos.f64 (.f64 (/.f64 x y) #s(literal 1/2 binary64)))) #s(literal -1 binary64))))
(fma.f64 (sin.f64 (.f64 (/.f64 x y) #s(literal 1/2 binary64))) (cos.f64 (/.f64 (PI.f64) #s(literal 2 binary64))) (.f64 (cos.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64))) (sin.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))))
(sin.f64 (+.f64 (neg.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64))) (/.f64 (PI.f64) #s(literal 2 binary64))))
(sin.f64 (fma.f64 (/.f64 x y) #s(literal 1/2 binary64) (/.f64 (PI.f64) #s(literal 2 binary64))))
(cos.f64 (neg.f64 (neg.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64)))))
(cos.f64 (neg.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64))))
(cos.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64)))
(+.f64 (.f64 (sin.f64 (.f64 (/.f64 x y) #s(literal 1/2 binary64))) (cos.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))) (.f64 (cos.f64 (.f64 (/.f64 x y) #s(literal 1/2 binary64))) (sin.f64 (/.f64 (PI.f64) #s(literal 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)
(/.f64 (neg.f64 x) (neg.f64 y))
(/.f64 x y)
x
y
#s(literal 1/2 binary64)
#s(literal -1 binary64)
#s(approx (/ (/ (sin (/ (/ x y) 2)) (cos (/ (/ x y) 2))) (sin (/ x (* y 2)))) #s(literal 1 binary64))
#s(literal 1 binary64)
(/.f64 (neg.f64 (tan.f64 (/.f64 x (.f64 #s(literal 2 binary64) y)))) (neg.f64 #s(approx (sin (/ (/ x y) 2)) (.f64 (/.f64 x y) #s(literal 1/2 binary64)))))
(/.f64 (tan.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 (sin.f64 (/.f64 x y)) (+.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x y))))
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(/.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 (sin.f64 (/.f64 x (.f64 #s(literal 2 binary64) y))) (cos.f64 (/.f64 x (.f64 #s(literal 2 binary64) y))))
(tan.f64 (+.f64 (+.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y)) (PI.f64)) (PI.f64)))
(tan.f64 (+.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y)) (PI.f64)))
(tan.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y)))
(/.f64 (neg.f64 (/.f64 x y)) #s(literal -2 binary64))
(/.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 y y)
#s(literal 2 binary64)
#s(approx (sin (/ (/ x y) 2)) (*.f64 (/.f64 x y) #s(literal 1/2 binary64)))
(/.f64 (neg.f64 (tan.f64 (/.f64 x (.f64 #s(literal 2 binary64) y)))) (neg.f64 #s(approx (sin (/ (/ x y) 2)) (/.f64 (fma.f64 (/.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) y) y) #s(literal -1/48 binary64) (.f64 #s(literal 1/2 binary64) x)) y))))
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#s(approx (sin (/ (/ x y) 2)) (/.f64 (fma.f64 (/.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) y) y) #s(literal -1/48 binary64) (*.f64 #s(literal 1/2 binary64) x)) y))
(/.f64 (fma.f64 (/.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/48 binary64)) (.f64 y y)) y (.f64 y (.f64 #s(literal 1/2 binary64) x))) (*.f64 y y))
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(/.f64 (-.f64 (pow.f64 (/.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/48 binary64)) (.f64 y y)) #s(literal 2 binary64)) (pow.f64 (.f64 #s(literal 1/2 binary64) x) #s(literal 2 binary64))) (-.f64 (/.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/48 binary64)) (.f64 y y)) (.f64 #s(literal 1/2 binary64) x)))
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(fma.f64 (/.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) y) y) #s(literal -1/48 binary64) (*.f64 #s(literal 1/2 binary64) x))
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(/.f64 (pow.f64 x #s(literal 3 binary64)) (*.f64 y y))
(exp.f64 (-.f64 (.f64 (log.f64 x) #s(literal 3 binary64)) (.f64 (log.f64 y) #s(literal 2 binary64))))
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(*.f64 (fabs.f64 (pow.f64 x #s(literal 3/2 binary64))) (fabs.f64 (pow.f64 x #s(literal 3/2 binary64))))
(*.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3/2 binary64)))
(.f64 (.f64 x x) x)
(.f64 x (.f64 x x))
(pow.f64 (exp.f64 (log.f64 x)) #s(literal 3 binary64))
(pow.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 2 binary64))
(pow.f64 (*.f64 x x) #s(literal 3/2 binary64))
(pow.f64 x #s(literal 3 binary64))
(exp.f64 (*.f64 (log.f64 x) #s(literal 3 binary64)))
(+.f64 (cosh.f64 (.f64 (log.f64 x) #s(literal 3 binary64))) (sinh.f64 (.f64 (log.f64 x) #s(literal 3 binary64))))
#s(literal 3 binary64)
(*.f64 (neg.f64 (neg.f64 y)) (neg.f64 (neg.f64 y)))
(*.f64 (neg.f64 (fabs.f64 y)) (neg.f64 (fabs.f64 y)))
(*.f64 (fabs.f64 (fabs.f64 y)) (fabs.f64 (fabs.f64 y)))
(*.f64 (exp.f64 (log.f64 y)) (exp.f64 (log.f64 y)))
(*.f64 (neg.f64 y) (neg.f64 y))
(*.f64 (fabs.f64 y) (fabs.f64 y))
(*.f64 y y)
(pow.f64 (exp.f64 (log.f64 y)) #s(literal 2 binary64))
(pow.f64 (neg.f64 y) #s(literal 2 binary64))
(pow.f64 (fabs.f64 y) #s(literal 2 binary64))
(pow.f64 (*.f64 y y) #s(literal 1 binary64))
(pow.f64 y #s(literal 2 binary64))
(/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal -2 binary64)))
(fabs.f64 (*.f64 y y))
(exp.f64 (*.f64 (log.f64 y) #s(literal 2 binary64)))
(+.f64 (cosh.f64 (.f64 (log.f64 y) #s(literal 2 binary64))) (sinh.f64 (.f64 (log.f64 y) #s(literal 2 binary64))))
#s(literal -1/48 binary64)
(*.f64 #s(literal 1/2 binary64) x)
(*.f64 x #s(literal 1/2 binary64))
(/.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))))
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#s(approx (/ (sin (/ (/ x y) 2)) (cos (/ (/ x y) 2))) (neg.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) x (/.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/24 binary64)) (.f64 y y))) y)))
#s(approx (/ (sin (/ (/ x y) 2)) (cos (/ (/ x y) 2))) (neg.f64 (/.f64 (-.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))) (/.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/48 binary64)) (.f64 y y)))) (fma.f64 (/.f64 (.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/24 binary64)) (.f64 x x)) (pow.f64 y #s(literal 4 binary64))) #s(literal -1/8 binary64) (fma.f64 #s(literal -1/768 binary64) (/.f64 (pow.f64 x #s(literal 5 binary64)) (pow.f64 y #s(literal 4 binary64))) (/.f64 (.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal 3 binary64))) (*.f64 y y))))) y)))
#s(approx (/ (sin (/ (/ x y) 2)) (cos (/ (/ x y) 2))) (neg.f64 (/.f64 (-.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 #s(literal 1/645120 binary64) (/.f64 (pow.f64 x #s(literal 7 binary64)) (pow.f64 y #s(literal 6 binary64))) (/.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/48 binary64)) (.f64 y y))))) (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) (fma.f64 (/.f64 (.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/24 binary64)) (.f64 x x)) (pow.f64 y #s(literal 4 binary64))) #s(literal -1/8 binary64) (fma.f64 #s(literal -1/768 binary64) (/.f64 (pow.f64 x #s(literal 5 binary64)) (pow.f64 y #s(literal 4 binary64))) (fma.f64 #s(literal 1/92160 binary64) (/.f64 (pow.f64 x #s(literal 7 binary64)) (pow.f64 y #s(literal 6 binary64))) (fma.f64 (/.f64 (.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))) #s(literal 1/384 binary64) (/.f64 (.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal 3 binary64))) (.f64 y y)))))))) y)))
#s(approx (sin (/ (/ x y) 2)) (neg.f64 (/.f64 (fma.f64 (/.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) y) y) #s(literal 1/48 binary64) (*.f64 #s(literal -1/2 binary64) x)) y)))
#s(approx (sin (/ (/ x y) 2)) (neg.f64 (/.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))) (/.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/48 binary64)) (.f64 y y)))) y)))
#s(approx (sin (/ (/ x y) 2)) (neg.f64 (/.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 #s(literal 1/645120 binary64) (/.f64 (pow.f64 x #s(literal 7 binary64)) (pow.f64 y #s(literal 6 binary64))) (/.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/48 binary64)) (.f64 y y))))) y)))
#s(approx (/ (+ (* (/ (pow x 3) (* y y)) -1/48) (* 1/2 x)) y) (neg.f64 (/.f64 (fma.f64 (/.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) y) y) #s(literal 1/48 binary64) (*.f64 #s(literal -1/2 binary64) x)) y)))
#s(approx (/ (sin (/ (/ x y) 2)) (cos (/ (/ x y) 2))) (neg.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) x (/.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/24 binary64)) (.f64 y y))) y)))
#s(approx (/ (sin (/ (/ x y) 2)) (cos (/ (/ x y) 2))) (neg.f64 (/.f64 (-.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))) (/.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/48 binary64)) (.f64 y y)))) (fma.f64 (/.f64 (.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/24 binary64)) (.f64 x x)) (pow.f64 y #s(literal 4 binary64))) #s(literal -1/8 binary64) (fma.f64 #s(literal -1/768 binary64) (/.f64 (pow.f64 x #s(literal 5 binary64)) (pow.f64 y #s(literal 4 binary64))) (/.f64 (.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal 3 binary64))) (*.f64 y y))))) y)))
#s(approx (/ (sin (/ (/ x y) 2)) (cos (/ (/ x y) 2))) (neg.f64 (/.f64 (-.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 #s(literal 1/645120 binary64) (/.f64 (pow.f64 x #s(literal 7 binary64)) (pow.f64 y #s(literal 6 binary64))) (/.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/48 binary64)) (.f64 y y))))) (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) (fma.f64 (/.f64 (.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/24 binary64)) (.f64 x x)) (pow.f64 y #s(literal 4 binary64))) #s(literal -1/8 binary64) (fma.f64 #s(literal -1/768 binary64) (/.f64 (pow.f64 x #s(literal 5 binary64)) (pow.f64 y #s(literal 4 binary64))) (fma.f64 #s(literal 1/92160 binary64) (/.f64 (pow.f64 x #s(literal 7 binary64)) (pow.f64 y #s(literal 6 binary64))) (fma.f64 (/.f64 (.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))) #s(literal 1/384 binary64) (/.f64 (.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal 3 binary64))) (.f64 y y)))))))) y)))
#s(approx (sin (/ (/ x y) 2)) (neg.f64 (/.f64 (fma.f64 (/.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) y) y) #s(literal 1/48 binary64) (*.f64 #s(literal -1/2 binary64) x)) y)))
#s(approx (sin (/ (/ x y) 2)) (neg.f64 (/.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))) (/.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/48 binary64)) (.f64 y y)))) y)))
#s(approx (sin (/ (/ x y) 2)) (neg.f64 (/.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 #s(literal 1/645120 binary64) (/.f64 (pow.f64 x #s(literal 7 binary64)) (pow.f64 y #s(literal 6 binary64))) (/.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/48 binary64)) (.f64 y y))))) y)))

eval37.0ms (0.8%)

Memory: 1.0MiB live, 52.8MiB allocated; 9ms collecting garbage
Compiler: Compiled 9 771 to 1 111 computations (88.6% saved)

prune26.0ms (0.6%)

Memory

-3.1MiB live, 42.1MiB allocated; 5ms collecting garbage

Pruning

16 alts after pruning (15 fresh and 1 done)

	Pruned	Kept	Total
New	269	10	279
Fresh	3	5	8
Picked	4	1	5
Done	0	0	0
Total	276	16	292

Accuracy

60.9%

Counts

292 → 16

Alt Table

Click to see full alt table

Status	Accuracy	Program
	7.7%	(/.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)))))
	8.0%	(/.f64 (/.f64 (+.f64 (tan.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64))) (tan.f64 (PI.f64))) (-.f64 #s(literal 1 binary64) (.f64 (tan.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64))) (tan.f64 (PI.f64))))) (sin.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))))
	43.2%	(/.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)))))
	42.2%	(/.f64 (/.f64 (neg.f64 (sin.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64)))) (cos.f64 (+.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64)) (PI.f64)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
	43.4%	(/.f64 (tan.f64 (/.f64 x (+.f64 y y))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
▶	43.5%	(/.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)))))
▶	46.9%	#s(approx (/ (/ (sin (/ (/ x y) 2)) (cos (/ (/ x y) 2))) (sin (/ x (* y 2)))) (fma.f64 (/.f64 (.f64 x x) (.f64 y y)) #s(literal 1/8 binary64) #s(literal 1 binary64)))
	56.0%	#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (pow.f64 (fma.f64 (sin.f64 (.f64 (/.f64 x y) #s(literal 1/2 binary64))) (cos.f64 (/.f64 (PI.f64) #s(literal 2 binary64))) (.f64 (cos.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64))) (sin.f64 (/.f64 (PI.f64) #s(literal 2 binary64))))) #s(literal -1 binary64)))
▶	52.0%	#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (pow.f64 (pow.f64 (cos.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64))) #s(literal -1/2 binary64)) #s(literal 2 binary64)))
▶	55.2%	#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (pow.f64 (sin.f64 (fma.f64 (/.f64 x y) #s(literal 1/2 binary64) (/.f64 (PI.f64) #s(literal 2 binary64)))) #s(literal -1 binary64)))
	55.9%	#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (pow.f64 (sin.f64 (+.f64 (neg.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64))) (/.f64 (PI.f64) #s(literal 2 binary64)))) #s(literal -1 binary64)))
	47.5%	#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (pow.f64 #s(approx (cos (* (/ x y) 1/2)) (fma.f64 #s(literal -1/8 binary64) (/.f64 (.f64 x x) (.f64 y y)) #s(literal 1 binary64))) #s(literal -1 binary64)))
▶	56.0%	#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64)))))
	55.0%	#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal -1 binary64) (cos.f64 (fma.f64 (/.f64 x y) #s(literal 1/2 binary64) (PI.f64)))))
	52.0%	#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (+.f64 (cosh.f64 (.f64 (log.f64 (cos.f64 (.f64 (/.f64 x y) #s(literal 1/2 binary64)))) #s(literal -1 binary64))) (sinh.f64 (.f64 (log.f64 (cos.f64 (.f64 (/.f64 x y) #s(literal 1/2 binary64)))) #s(literal -1 binary64)))))
✓	54.5%	#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(literal 1 binary64))

Compiler

Compiled 771 to 502 computations (34.9% saved)

series61.0ms (1.4%)

Memory

28.6MiB live, 73.4MiB allocated; 8ms collecting garbage

Counts

33 → 122

Calls

Call 1

Inputs
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64)))))
(/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64))))
#s(literal 1 binary64)
(cos.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64)))
(*.f64 (/.f64 x y) #s(literal 1/2 binary64))
(/.f64 x y)
x
y
#s(literal 1/2 binary64)
#s(approx (/ (/ (sin (/ (/ x y) 2)) (cos (/ (/ x y) 2))) (sin (/ x (* y 2)))) (fma.f64 (/.f64 (.f64 x x) (.f64 y y)) #s(literal 1/8 binary64) #s(literal 1 binary64)))
(fma.f64 (/.f64 (.f64 x x) (.f64 y y)) #s(literal 1/8 binary64) #s(literal 1 binary64))
(/.f64 (.f64 x x) (.f64 y y))
(*.f64 x x)
(*.f64 y y)
#s(literal 1/8 binary64)
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (pow.f64 (sin.f64 (fma.f64 (/.f64 x y) #s(literal 1/2 binary64) (/.f64 (PI.f64) #s(literal 2 binary64)))) #s(literal -1 binary64)))
(pow.f64 (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 (PI.f64) #s(literal 2 binary64))
(PI.f64)
#s(literal 2 binary64)
#s(literal -1 binary64)
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (pow.f64 (pow.f64 (cos.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64))) #s(literal -1/2 binary64)) #s(literal 2 binary64)))
(pow.f64 (pow.f64 (cos.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64))) #s(literal -1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (cos.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64))) #s(literal -1/2 binary64))
#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))) (sin.f64 (/.f64 x (.f64 #s(literal 2 binary64) y)))))
(sin.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y)))
(/.f64 x (*.f64 #s(literal 2 binary64) y))
(*.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))))
(cos.f64 (/.f64 x (*.f64 #s(literal 2 binary64) 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 (/ 1 (cos (* (/ x y) 1/2))) #s(hole binary64 1))
#s(approx (/ 1 (cos (* (/ x y) 1/2))) #s(hole binary64 (+ 1 (* 1/8 (/ (pow x 2) (pow y 2))))))
#s(approx (/ 1 (cos (* (/ x y) 1/2))) #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) 1/2))) #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) 1/2)) #s(hole binary64 1))
#s(approx (cos (* (/ x y) 1/2)) #s(hole binary64 (+ 1 (* -1/8 (/ (pow x 2) (pow y 2))))))
#s(approx (cos (* (/ x y) 1/2)) #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) 1/2)) #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) 1/2) #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 (/ (/ (sin (/ (/ x y) 2)) (cos (/ (/ x y) 2))) (sin (/ x (* y 2)))) #s(hole binary64 1))
#s(approx (/ (/ (sin (/ (/ x y) 2)) (cos (/ (/ x y) 2))) (sin (/ x (* y 2)))) #s(hole binary64 (+ 1 (* 1/8 (/ (pow x 2) (pow y 2))))))
#s(approx (/ (/ (sin (/ (/ x y) 2)) (cos (/ (/ 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 (/ (/ (sin (/ (/ x y) 2)) (cos (/ (/ 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 y)) 1/8) 1) #s(hole binary64 1))
#s(approx (+ (* (/ (* x x) (* y y)) 1/8) 1) #s(hole binary64 (+ 1 (* 1/8 (/ (pow x 2) (pow y 2))))))
#s(approx (/ (* x x) (* y y)) #s(hole binary64 (/ (pow x 2) (pow y 2))))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx (pow (sin (+ (* (/ x y) 1/2) (/ (PI) 2))) -1) #s(hole binary64 (/ 1 (sin (* 1/2 (PI))))))
#s(approx (pow (sin (+ (* (/ x y) 1/2) (/ (PI) 2))) -1) #s(hole binary64 (+ (* -1/2 (/ (* x (cos (* 1/2 (PI)))) (* y (pow (sin (* 1/2 (PI))) 2)))) (/ 1 (sin (* 1/2 (PI)))))))
#s(approx (pow (sin (+ (* (/ x y) 1/2) (/ (PI) 2))) -1) #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 (pow (sin (+ (* (/ x y) 1/2) (/ (PI) 2))) -1) #s(hole binary64 (+ (* x (- (* x (- (+ (* -1 (* x (+ (* -1/48 (/ (cos (* 1/2 (PI))) (* (pow y 3) (pow (sin (* 1/2 (PI))) 2)))) (+ (* 1/16 (/ (cos (* 1/2 (PI))) (* (pow y 3) (pow (sin (* 1/2 (PI))) 2)))) (* 1/2 (/ (* (cos (* 1/2 (PI))) (- (* 1/8 (/ 1 (* (pow y 2) (sin (* 1/2 (PI)))))) (* -1/4 (/ (pow (cos (* 1/2 (PI))) 2) (* (pow y 2) (pow (sin (* 1/2 (PI))) 3)))))) (* y (sin (* 1/2 (PI)))))))))) (* 1/8 (/ 1 (* (pow y 2) (sin (* 1/2 (PI))))))) (* -1/4 (/ (pow (cos (* 1/2 (PI))) 2) (* (pow y 2) (pow (sin (* 1/2 (PI))) 3)))))) (* 1/2 (/ (cos (* 1/2 (PI))) (* y (pow (sin (* 1/2 (PI))) 2)))))) (/ 1 (sin (* 1/2 (PI)))))))
#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 (+ (* -1/8 (/ (* x (sin (* 1/2 (PI)))) (pow y 2))) (* 1/2 (/ (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)) (* 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 (PI)) (* 1/2 (/ x y)))))
#s(approx (pow (pow (cos (* (/ x y) 1/2)) -1/2) 2) #s(hole binary64 1))
#s(approx (pow (pow (cos (* (/ x y) 1/2)) -1/2) 2) #s(hole binary64 (+ 1 (* 1/8 (/ (pow x 2) (pow y 2))))))
#s(approx (pow (pow (cos (* (/ x y) 1/2)) -1/2) 2) #s(hole binary64 (+ 1 (* (pow x 2) (+ (* 5/384 (/ (pow x 2) (pow y 4))) (* 1/8 (/ 1 (pow y 2))))))))
#s(approx (pow (pow (cos (* (/ x y) 1/2)) -1/2) 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 (pow (cos (* (/ x y) 1/2)) -1/2) #s(hole binary64 1))
#s(approx (pow (cos (* (/ x y) 1/2)) -1/2) #s(hole binary64 (+ 1 (* 1/16 (/ (pow x 2) (pow y 2))))))
#s(approx (pow (cos (* (/ x y) 1/2)) -1/2) #s(hole binary64 (+ 1 (* (pow x 2) (+ (* 7/1536 (/ (pow x 2) (pow y 4))) (* 1/16 (/ 1 (pow y 2))))))))
#s(approx (pow (cos (* (/ x y) 1/2)) -1/2) #s(hole binary64 (+ 1 (* (pow x 2) (+ (* (pow x 2) (+ (* 139/368640 (/ (pow x 2) (pow y 6))) (* 7/1536 (/ 1 (pow y 4))))) (* 1/16 (/ 1 (pow y 2))))))))
#s(approx (/ (sin (/ x (* 2 y))) (* (cos (/ x (* 2 y))) (sin (/ x (* 2 y))))) #s(hole binary64 1))
#s(approx (/ (sin (/ x (* 2 y))) (* (cos (/ x (* 2 y))) (sin (/ x (* 2 y))))) #s(hole binary64 (+ 1 (* 1/8 (/ (pow x 2) (pow y 2))))))
#s(approx (/ (sin (/ x (* 2 y))) (* (cos (/ x (* 2 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 (/ (sin (/ x (* 2 y))) (* (cos (/ x (* 2 y))) (sin (/ x (* 2 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 (sin (/ x (* 2 y))) #s(hole binary64 (* 1/2 (/ x y))))
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#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 (/ x (* 2 y)) #s(hole binary64 (* 1/2 (/ x y))))
#s(approx (* (cos (/ x (* 2 y))) (sin (/ x (* 2 y)))) #s(hole binary64 (* 1/2 (/ x y))))
#s(approx (* (cos (/ x (* 2 y))) (sin (/ x (* 2 y)))) #s(hole binary64 (* x (+ (* -1/12 (/ (pow x 2) (pow y 3))) (* 1/2 (/ 1 y))))))
#s(approx (* (cos (/ x (* 2 y))) (sin (/ x (* 2 y)))) #s(hole binary64 (* x (+ (* (pow x 2) (- (* 1/240 (/ (pow x 2) (pow y 5))) (* 1/12 (/ 1 (pow y 3))))) (* 1/2 (/ 1 y))))))
#s(approx (* (cos (/ x (* 2 y))) (sin (/ x (* 2 y)))) #s(hole binary64 (* x (+ (* (pow x 2) (- (* (pow x 2) (+ (* -1 (* (pow x 2) (+ (* 1/92160 (/ 1 (pow y 7))) (* 19/215040 (/ 1 (pow y 7)))))) (* 1/240 (/ 1 (pow y 5))))) (* 1/12 (/ 1 (pow y 3))))) (* 1/2 (/ 1 y))))))
#s(approx (cos (/ x (* 2 y))) #s(hole binary64 1))
#s(approx (cos (/ x (* 2 y))) #s(hole binary64 (+ 1 (* -1/8 (/ (pow x 2) (pow y 2))))))
#s(approx (cos (/ x (* 2 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 (/ x (* 2 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 (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(hole binary64 (/ 1 (cos (* 1/2 (/ x y))))))
#s(approx (/ 1 (cos (* (/ x y) 1/2))) #s(hole binary64 (/ 1 (cos (* 1/2 (/ x y))))))
#s(approx (cos (* (/ x y) 1/2)) #s(hole binary64 (cos (* 1/2 (/ x y)))))
#s(approx (/ (/ (sin (/ (/ x y) 2)) (cos (/ (/ x y) 2))) (sin (/ x (* y 2)))) #s(hole binary64 (/ 1 (cos (* 1/2 (/ x y))))))
#s(approx (+ (* (/ (* x x) (* y y)) 1/8) 1) #s(hole binary64 (* 1/8 (/ (pow x 2) (pow y 2)))))
#s(approx (+ (* (/ (* x x) (* y y)) 1/8) 1) #s(hole binary64 (* (pow x 2) (+ (/ 1 (pow x 2)) (* 1/8 (/ 1 (pow y 2)))))))
#s(approx (pow (sin (+ (* (/ x y) 1/2) (/ (PI) 2))) -1) #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 (pow (pow (cos (* (/ x y) 1/2)) -1/2) 2) #s(hole binary64 (/ 1 (cos (* 1/2 (/ x y))))))
#s(approx (pow (cos (* (/ x y) 1/2)) -1/2) #s(hole binary64 (sqrt (/ 1 (cos (* 1/2 (/ x y)))))))
#s(approx (/ (sin (/ x (* 2 y))) (* (cos (/ x (* 2 y))) (sin (/ x (* 2 y))))) #s(hole binary64 (/ 1 (cos (* 1/2 (/ x y))))))
#s(approx (sin (/ x (* 2 y))) #s(hole binary64 (sin (* 1/2 (/ x y)))))
#s(approx (* (cos (/ x (* 2 y))) (sin (/ x (* 2 y)))) #s(hole binary64 (* (cos (* 1/2 (/ x y))) (sin (* 1/2 (/ x y))))))
#s(approx (cos (/ x (* 2 y))) #s(hole binary64 (cos (* 1/2 (/ x y)))))
#s(approx (pow (sin (+ (* (/ x y) 1/2) (/ (PI) 2))) -1) #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 (* x (- (* -1/2 (/ (PI) x)) (* 1/2 (/ 1 y)))))))
#s(approx y #s(hole binary64 y))
#s(approx (+ (* (/ (* x x) (* y y)) 1/8) 1) #s(hole binary64 (/ (+ (* 1/8 (pow x 2)) (pow y 2)) (pow y 2))))
#s(approx (* y y) #s(hole binary64 (pow y 2)))
#s(approx (+ (* (/ x y) 1/2) (/ (PI) 2)) #s(hole binary64 (/ (+ (* 1/2 x) (* 1/2 (* y (PI)))) y)))
#s(approx (* 2 y) #s(hole binary64 (* 2 y)))
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#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))))))))
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#s(approx (/ 1 (cos (* (/ x y) 1/2))) #s(hole binary64 (- (+ 1 (* -1 (/ (+ (* -1/64 (pow x 4)) (* 1/384 (pow x 4))) (pow y 4)))) (* -1/8 (/ (pow x 2) (pow y 2))))))
#s(approx (/ 1 (cos (* (/ x y) 1/2))) #s(hole binary64 (- (+ 1 (* -1 (/ (+ (* -1/46080 (pow x 6)) (+ (* 1/3072 (pow x 6)) (* 1/8 (* (pow x 2) (+ (* -1/64 (pow x 4)) (* 1/384 (pow x 4))))))) (pow y 6)))) (+ (* -1/8 (/ (pow x 2) (pow y 2))) (+ (* -1/64 (/ (pow x 4) (pow y 4))) (* 1/384 (/ (pow x 4) (pow y 4))))))))
#s(approx (cos (* (/ x y) 1/2)) #s(hole binary64 (+ 1 (+ (* -1/8 (/ (pow x 2) (pow y 2))) (* 1/384 (/ (pow x 4) (pow y 4)))))))
#s(approx (cos (* (/ x y) 1/2)) #s(hole binary64 (+ 1 (+ (* -1/8 (/ (pow x 2) (pow y 2))) (+ (* -1/46080 (/ (pow x 6) (pow y 6))) (* 1/384 (/ (pow x 4) (pow y 4))))))))
#s(approx (/ (/ (sin (/ (/ x y) 2)) (cos (/ (/ x y) 2))) (sin (/ x (* y 2)))) #s(hole binary64 (- (+ 1 (* -1 (/ (+ (* -1/64 (pow x 4)) (* 1/384 (pow x 4))) (pow y 4)))) (* -1/8 (/ (pow x 2) (pow y 2))))))
#s(approx (/ (/ (sin (/ (/ x y) 2)) (cos (/ (/ x y) 2))) (sin (/ x (* y 2)))) #s(hole binary64 (- (+ 1 (* -1 (/ (+ (* -1/46080 (pow x 6)) (+ (* 1/3072 (pow x 6)) (* 1/8 (* (pow x 2) (+ (* -1/64 (pow x 4)) (* 1/384 (pow x 4))))))) (pow y 6)))) (+ (* -1/8 (/ (pow x 2) (pow y 2))) (+ (* -1/64 (/ (pow x 4) (pow y 4))) (* 1/384 (/ (pow x 4) (pow y 4))))))))
#s(approx (pow (sin (+ (* (/ x y) 1/2) (/ (PI) 2))) -1) #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)))))))
#s(approx (pow (sin (+ (* (/ x y) 1/2) (/ (PI) 2))) -1) #s(hole binary64 (- (+ (* -1 (/ (+ (* -1/2 (/ (* x (* (cos (* 1/2 (PI))) (+ (* -1/4 (/ (* (pow x 2) (pow (cos (* 1/2 (PI))) 2)) (pow (sin (* 1/2 (PI))) 3))) (* -1/8 (/ (pow x 2) (sin (* 1/2 (PI)))))))) (sin (* 1/2 (PI))))) (+ (* -1/48 (/ (* (pow x 3) (cos (* 1/2 (PI)))) (pow (sin (* 1/2 (PI))) 2))) (* 1/16 (/ (* (pow x 3) (cos (* 1/2 (PI)))) (pow (sin (* 1/2 (PI))) 2))))) (pow y 3))) (/ 1 (sin (* 1/2 (PI))))) (+ (* -1/4 (/ (* (pow x 2) (pow (cos (* 1/2 (PI))) 2)) (* (pow y 2) (pow (sin (* 1/2 (PI))) 3)))) (+ (* -1/8 (/ (pow x 2) (* (pow y 2) (sin (* 1/2 (PI)))))) (* 1/2 (/ (* x (cos (* 1/2 (PI)))) (* y (pow (sin (* 1/2 (PI))) 2)))))))))
#s(approx (sin (+ (* (/ x y) 1/2) (/ (PI) 2))) #s(hole binary64 (+ (sin (* 1/2 (PI))) (+ (* -1/8 (/ (* (pow x 2) (sin (* 1/2 (PI)))) (pow y 2))) (* 1/2 (/ (* x (cos (* 1/2 (PI)))) y))))))
#s(approx (sin (+ (* (/ x y) 1/2) (/ (PI) 2))) #s(hole binary64 (+ (sin (* 1/2 (PI))) (+ (* -1/8 (/ (* (pow x 2) (sin (* 1/2 (PI)))) (pow y 2))) (+ (* -1/48 (/ (* (pow x 3) (cos (* 1/2 (PI)))) (pow y 3))) (* 1/2 (/ (* x (cos (* 1/2 (PI)))) y)))))))
#s(approx (pow (pow (cos (* (/ x y) 1/2)) -1/2) 2) #s(hole binary64 (- (+ 1 (* -1 (/ (+ (* -1/64 (pow x 4)) (* 1/384 (pow x 4))) (pow y 4)))) (* -1/8 (/ (pow x 2) (pow y 2))))))
#s(approx (pow (pow (cos (* (/ x y) 1/2)) -1/2) 2) #s(hole binary64 (- (+ 1 (* -1 (/ (+ (* -1/46080 (pow x 6)) (+ (* 1/3072 (pow x 6)) (* 1/8 (* (pow x 2) (+ (* -1/64 (pow x 4)) (* 1/384 (pow x 4))))))) (pow y 6)))) (+ (* -1/8 (/ (pow x 2) (pow y 2))) (+ (* -1/64 (/ (pow x 4) (pow y 4))) (* 1/384 (/ (pow x 4) (pow y 4))))))))
#s(approx (pow (cos (* (/ x y) 1/2)) -1/2) #s(hole binary64 (+ 1 (+ (* -1/2 (/ (+ (* -1/64 (pow x 4)) (+ (* 1/384 (pow x 4)) (* 1/256 (pow x 4)))) (pow y 4))) (* 1/16 (/ (pow x 2) (pow y 2)))))))
#s(approx (pow (cos (* (/ x y) 1/2)) -1/2) #s(hole binary64 (+ 1 (+ (* -1/2 (/ (+ (* -1/16 (* (pow x 2) (+ (* -1/64 (pow x 4)) (+ (* 1/384 (pow x 4)) (* 1/256 (pow x 4)))))) (+ (* -1/46080 (pow x 6)) (+ (* 1/3072 (pow x 6)) (* 1/8 (* (pow x 2) (+ (* -1/64 (pow x 4)) (* 1/384 (pow x 4)))))))) (pow y 6))) (+ (* -1/2 (/ (+ (* -1/64 (pow x 4)) (+ (* 1/384 (pow x 4)) (* 1/256 (pow x 4)))) (pow y 4))) (* 1/16 (/ (pow x 2) (pow y 2))))))))
#s(approx (/ (sin (/ x (* 2 y))) (* (cos (/ x (* 2 y))) (sin (/ x (* 2 y))))) #s(hole binary64 (- (+ 1 (* -1 (/ (+ (* -1/64 (pow x 4)) (* 1/384 (pow x 4))) (pow y 4)))) (* -1/8 (/ (pow x 2) (pow y 2))))))
#s(approx (/ (sin (/ x (* 2 y))) (* (cos (/ x (* 2 y))) (sin (/ x (* 2 y))))) #s(hole binary64 (- (+ 1 (* -1 (/ (+ (* -1/46080 (pow x 6)) (+ (* 1/3072 (pow x 6)) (* 1/8 (* (pow x 2) (+ (* -1/64 (pow x 4)) (* 1/384 (pow x 4))))))) (pow y 6)))) (+ (* -1/8 (/ (pow x 2) (pow y 2))) (+ (* -1/64 (/ (pow x 4) (pow y 4))) (* 1/384 (/ (pow x 4) (pow y 4))))))))
#s(approx (sin (/ x (* 2 y))) #s(hole binary64 (/ (+ (* -1/48 (/ (pow x 3) (pow y 2))) (* 1/2 x)) y)))
#s(approx (sin (/ x (* 2 y))) #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 (* 2 y))) #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 (* (cos (/ x (* 2 y))) (sin (/ x (* 2 y)))) #s(hole binary64 (/ (+ (* -1/16 (/ (pow x 3) (pow y 2))) (+ (* -1/48 (/ (pow x 3) (pow y 2))) (* 1/2 x))) y)))
#s(approx (* (cos (/ x (* 2 y))) (sin (/ x (* 2 y)))) #s(hole binary64 (/ (+ (* -1/16 (/ (pow x 3) (pow y 2))) (+ (* -1/48 (/ (pow x 3) (pow y 2))) (+ (* 1/3840 (/ (pow x 5) (pow y 4))) (+ (* 1/768 (/ (pow x 5) (pow y 4))) (+ (* 1/384 (/ (pow x 5) (pow y 4))) (* 1/2 x)))))) y)))
#s(approx (* (cos (/ x (* 2 y))) (sin (/ x (* 2 y)))) #s(hole binary64 (/ (+ (* -1/16 (/ (pow x 3) (pow y 2))) (+ (* -1/48 (/ (pow x 3) (pow y 2))) (+ (* -1/18432 (/ (pow x 7) (pow y 6))) (+ (* -1/30720 (/ (pow x 7) (pow y 6))) (+ (* -1/92160 (/ (pow x 7) (pow y 6))) (+ (* -1/645120 (/ (pow x 7) (pow y 6))) (+ (* 1/3840 (/ (pow x 5) (pow y 4))) (+ (* 1/768 (/ (pow x 5) (pow y 4))) (+ (* 1/384 (/ (pow x 5) (pow y 4))) (* 1/2 x)))))))))) y)))
#s(approx (cos (/ x (* 2 y))) #s(hole binary64 (+ 1 (+ (* -1/8 (/ (pow x 2) (pow y 2))) (* 1/384 (/ (pow x 4) (pow y 4)))))))
#s(approx (cos (/ x (* 2 y))) #s(hole binary64 (+ 1 (+ (* -1/8 (/ (pow x 2) (pow y 2))) (+ (* -1/46080 (/ (pow x 6) (pow y 6))) (* 1/384 (/ (pow x 4) (pow y 4))))))))
#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)))))))))))
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Calls

6 calls:

Time	Variable		Point	Expression
14.0ms	y	@	inf	((/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/ 1 (cos (* (/ x y) 1/2))) 1 (cos (* (/ x y) 1/2)) (* (/ x y) 1/2) (/ x y) x y 1/2 (/ (/ (sin (/ (/ x y) 2)) (cos (/ (/ x y) 2))) (sin (/ x (* y 2)))) (+ (* (/ (* x x) (* y y)) 1/8) 1) (/ (* x x) (* y y)) (* x x) (* y y) 1/8 (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (pow (sin (+ (* (/ x y) 1/2) (/ (PI) 2))) -1) (sin (+ (* (/ x y) 1/2) (/ (PI) 2))) (+ (* (/ x y) 1/2) (/ (PI) 2)) (/ (PI) 2) (PI) 2 -1 (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (pow (pow (cos (* (/ x y) 1/2)) -1/2) 2) (pow (cos (* (/ x y) 1/2)) -1/2) -1/2 (/ (sin (/ x (* 2 y))) (* (cos (/ x (* 2 y))) (sin (/ x (* 2 y))))) (sin (/ x (* 2 y))) (/ x (* 2 y)) (* 2 y) (* (cos (/ x (* 2 y))) (sin (/ x (* 2 y)))) (cos (/ x (* 2 y))))
10.0ms	x	@	0	((/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/ 1 (cos (* (/ x y) 1/2))) 1 (cos (* (/ x y) 1/2)) (* (/ x y) 1/2) (/ x y) x y 1/2 (/ (/ (sin (/ (/ x y) 2)) (cos (/ (/ x y) 2))) (sin (/ x (* y 2)))) (+ (* (/ (* x x) (* y y)) 1/8) 1) (/ (* x x) (* y y)) (* x x) (* y y) 1/8 (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (pow (sin (+ (* (/ x y) 1/2) (/ (PI) 2))) -1) (sin (+ (* (/ x y) 1/2) (/ (PI) 2))) (+ (* (/ x y) 1/2) (/ (PI) 2)) (/ (PI) 2) (PI) 2 -1 (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (pow (pow (cos (* (/ x y) 1/2)) -1/2) 2) (pow (cos (* (/ x y) 1/2)) -1/2) -1/2 (/ (sin (/ x (* 2 y))) (* (cos (/ x (* 2 y))) (sin (/ x (* 2 y))))) (sin (/ x (* 2 y))) (/ x (* 2 y)) (* 2 y) (* (cos (/ x (* 2 y))) (sin (/ x (* 2 y)))) (cos (/ x (* 2 y))))
9.0ms	y	@	-inf	((/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/ 1 (cos (* (/ x y) 1/2))) 1 (cos (* (/ x y) 1/2)) (* (/ x y) 1/2) (/ x y) x y 1/2 (/ (/ (sin (/ (/ x y) 2)) (cos (/ (/ x y) 2))) (sin (/ x (* y 2)))) (+ (* (/ (* x x) (* y y)) 1/8) 1) (/ (* x x) (* y y)) (* x x) (* y y) 1/8 (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (pow (sin (+ (* (/ x y) 1/2) (/ (PI) 2))) -1) (sin (+ (* (/ x y) 1/2) (/ (PI) 2))) (+ (* (/ x y) 1/2) (/ (PI) 2)) (/ (PI) 2) (PI) 2 -1 (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (pow (pow (cos (* (/ x y) 1/2)) -1/2) 2) (pow (cos (* (/ x y) 1/2)) -1/2) -1/2 (/ (sin (/ x (* 2 y))) (* (cos (/ x (* 2 y))) (sin (/ x (* 2 y))))) (sin (/ x (* 2 y))) (/ x (* 2 y)) (* 2 y) (* (cos (/ x (* 2 y))) (sin (/ x (* 2 y)))) (cos (/ x (* 2 y))))
8.0ms	x	@	-inf	((/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/ 1 (cos (* (/ x y) 1/2))) 1 (cos (* (/ x y) 1/2)) (* (/ x y) 1/2) (/ x y) x y 1/2 (/ (/ (sin (/ (/ x y) 2)) (cos (/ (/ x y) 2))) (sin (/ x (* y 2)))) (+ (* (/ (* x x) (* y y)) 1/8) 1) (/ (* x x) (* y y)) (* x x) (* y y) 1/8 (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (pow (sin (+ (* (/ x y) 1/2) (/ (PI) 2))) -1) (sin (+ (* (/ x y) 1/2) (/ (PI) 2))) (+ (* (/ x y) 1/2) (/ (PI) 2)) (/ (PI) 2) (PI) 2 -1 (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (pow (pow (cos (* (/ x y) 1/2)) -1/2) 2) (pow (cos (* (/ x y) 1/2)) -1/2) -1/2 (/ (sin (/ x (* 2 y))) (* (cos (/ x (* 2 y))) (sin (/ x (* 2 y))))) (sin (/ x (* 2 y))) (/ x (* 2 y)) (* 2 y) (* (cos (/ x (* 2 y))) (sin (/ x (* 2 y)))) (cos (/ x (* 2 y))))
8.0ms	x	@	inf	((/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/ 1 (cos (* (/ x y) 1/2))) 1 (cos (* (/ x y) 1/2)) (* (/ x y) 1/2) (/ x y) x y 1/2 (/ (/ (sin (/ (/ x y) 2)) (cos (/ (/ x y) 2))) (sin (/ x (* y 2)))) (+ (* (/ (* x x) (* y y)) 1/8) 1) (/ (* x x) (* y y)) (* x x) (* y y) 1/8 (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (pow (sin (+ (* (/ x y) 1/2) (/ (PI) 2))) -1) (sin (+ (* (/ x y) 1/2) (/ (PI) 2))) (+ (* (/ x y) 1/2) (/ (PI) 2)) (/ (PI) 2) (PI) 2 -1 (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (pow (pow (cos (* (/ x y) 1/2)) -1/2) 2) (pow (cos (* (/ x y) 1/2)) -1/2) -1/2 (/ (sin (/ x (* 2 y))) (* (cos (/ x (* 2 y))) (sin (/ x (* 2 y))))) (sin (/ x (* 2 y))) (/ x (* 2 y)) (* 2 y) (* (cos (/ x (* 2 y))) (sin (/ x (* 2 y)))) (cos (/ x (* 2 y))))

rewrite285.0ms (6.3%)

Memory

-15.4MiB live, 220.6MiB allocated; 66ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	752	5542
0	788	4873
1	4595	4786
0	8256	4588

Stop Event

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

Counts

155 → 301

Calls

Call 1

Inputs
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64)))))
(/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64))))
#s(literal 1 binary64)
(cos.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64)))
(*.f64 (/.f64 x y) #s(literal 1/2 binary64))
(/.f64 x y)
x
y
#s(literal 1/2 binary64)
#s(approx (/ (/ (sin (/ (/ x y) 2)) (cos (/ (/ x y) 2))) (sin (/ x (* y 2)))) (fma.f64 (/.f64 (.f64 x x) (.f64 y y)) #s(literal 1/8 binary64) #s(literal 1 binary64)))
(fma.f64 (/.f64 (.f64 x x) (.f64 y y)) #s(literal 1/8 binary64) #s(literal 1 binary64))
(/.f64 (.f64 x x) (.f64 y y))
(*.f64 x x)
(*.f64 y y)
#s(literal 1/8 binary64)
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (pow.f64 (sin.f64 (fma.f64 (/.f64 x y) #s(literal 1/2 binary64) (/.f64 (PI.f64) #s(literal 2 binary64)))) #s(literal -1 binary64)))
(pow.f64 (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 (PI.f64) #s(literal 2 binary64))
(PI.f64)
#s(literal 2 binary64)
#s(literal -1 binary64)
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (pow.f64 (pow.f64 (cos.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64))) #s(literal -1/2 binary64)) #s(literal 2 binary64)))
(pow.f64 (pow.f64 (cos.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64))) #s(literal -1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (cos.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64))) #s(literal -1/2 binary64))
#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))) (sin.f64 (/.f64 x (.f64 #s(literal 2 binary64) y)))))
(sin.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y)))
(/.f64 x (*.f64 #s(literal 2 binary64) y))
(*.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))))
(cos.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y)))
#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 (* (/ x y) 1/2))) #s(hole binary64 1))
#s(approx (/ 1 (cos (* (/ x y) 1/2))) #s(hole binary64 (+ 1 (* 1/8 (/ (pow x 2) (pow y 2))))))
#s(approx (/ 1 (cos (* (/ x y) 1/2))) #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) 1/2))) #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) 1/2)) #s(hole binary64 1))
#s(approx (cos (* (/ x y) 1/2)) #s(hole binary64 (+ 1 (* -1/8 (/ (pow x 2) (pow y 2))))))
#s(approx (cos (* (/ x y) 1/2)) #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) 1/2)) #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) 1/2) #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 (/ (/ (sin (/ (/ x y) 2)) (cos (/ (/ x y) 2))) (sin (/ x (* y 2)))) #s(hole binary64 1))
#s(approx (/ (/ (sin (/ (/ x y) 2)) (cos (/ (/ x y) 2))) (sin (/ x (* y 2)))) #s(hole binary64 (+ 1 (* 1/8 (/ (pow x 2) (pow y 2))))))
#s(approx (/ (/ (sin (/ (/ x y) 2)) (cos (/ (/ 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 (/ (/ (sin (/ (/ x y) 2)) (cos (/ (/ 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 y)) 1/8) 1) #s(hole binary64 1))
#s(approx (+ (* (/ (* x x) (* y y)) 1/8) 1) #s(hole binary64 (+ 1 (* 1/8 (/ (pow x 2) (pow y 2))))))
#s(approx (/ (* x x) (* y y)) #s(hole binary64 (/ (pow x 2) (pow y 2))))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx (pow (sin (+ (* (/ x y) 1/2) (/ (PI) 2))) -1) #s(hole binary64 (/ 1 (sin (* 1/2 (PI))))))
#s(approx (pow (sin (+ (* (/ x y) 1/2) (/ (PI) 2))) -1) #s(hole binary64 (+ (* -1/2 (/ (* x (cos (* 1/2 (PI)))) (* y (pow (sin (* 1/2 (PI))) 2)))) (/ 1 (sin (* 1/2 (PI)))))))
#s(approx (pow (sin (+ (* (/ x y) 1/2) (/ (PI) 2))) -1) #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 (pow (sin (+ (* (/ x y) 1/2) (/ (PI) 2))) -1) #s(hole binary64 (+ (* x (- (* x (- (+ (* -1 (* x (+ (* -1/48 (/ (cos (* 1/2 (PI))) (* (pow y 3) (pow (sin (* 1/2 (PI))) 2)))) (+ (* 1/16 (/ (cos (* 1/2 (PI))) (* (pow y 3) (pow (sin (* 1/2 (PI))) 2)))) (* 1/2 (/ (* (cos (* 1/2 (PI))) (- (* 1/8 (/ 1 (* (pow y 2) (sin (* 1/2 (PI)))))) (* -1/4 (/ (pow (cos (* 1/2 (PI))) 2) (* (pow y 2) (pow (sin (* 1/2 (PI))) 3)))))) (* y (sin (* 1/2 (PI)))))))))) (* 1/8 (/ 1 (* (pow y 2) (sin (* 1/2 (PI))))))) (* -1/4 (/ (pow (cos (* 1/2 (PI))) 2) (* (pow y 2) (pow (sin (* 1/2 (PI))) 3)))))) (* 1/2 (/ (cos (* 1/2 (PI))) (* y (pow (sin (* 1/2 (PI))) 2)))))) (/ 1 (sin (* 1/2 (PI)))))))
#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 (+ (* -1/8 (/ (* x (sin (* 1/2 (PI)))) (pow y 2))) (* 1/2 (/ (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)) (* 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 (PI)) (* 1/2 (/ x y)))))
#s(approx (pow (pow (cos (* (/ x y) 1/2)) -1/2) 2) #s(hole binary64 1))
#s(approx (pow (pow (cos (* (/ x y) 1/2)) -1/2) 2) #s(hole binary64 (+ 1 (* 1/8 (/ (pow x 2) (pow y 2))))))
#s(approx (pow (pow (cos (* (/ x y) 1/2)) -1/2) 2) #s(hole binary64 (+ 1 (* (pow x 2) (+ (* 5/384 (/ (pow x 2) (pow y 4))) (* 1/8 (/ 1 (pow y 2))))))))
#s(approx (pow (pow (cos (* (/ x y) 1/2)) -1/2) 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 (pow (cos (* (/ x y) 1/2)) -1/2) #s(hole binary64 1))
#s(approx (pow (cos (* (/ x y) 1/2)) -1/2) #s(hole binary64 (+ 1 (* 1/16 (/ (pow x 2) (pow y 2))))))
#s(approx (pow (cos (* (/ x y) 1/2)) -1/2) #s(hole binary64 (+ 1 (* (pow x 2) (+ (* 7/1536 (/ (pow x 2) (pow y 4))) (* 1/16 (/ 1 (pow y 2))))))))
#s(approx (pow (cos (* (/ x y) 1/2)) -1/2) #s(hole binary64 (+ 1 (* (pow x 2) (+ (* (pow x 2) (+ (* 139/368640 (/ (pow x 2) (pow y 6))) (* 7/1536 (/ 1 (pow y 4))))) (* 1/16 (/ 1 (pow y 2))))))))
#s(approx (/ (sin (/ x (* 2 y))) (* (cos (/ x (* 2 y))) (sin (/ x (* 2 y))))) #s(hole binary64 1))
#s(approx (/ (sin (/ x (* 2 y))) (* (cos (/ x (* 2 y))) (sin (/ x (* 2 y))))) #s(hole binary64 (+ 1 (* 1/8 (/ (pow x 2) (pow y 2))))))
#s(approx (/ (sin (/ x (* 2 y))) (* (cos (/ x (* 2 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 (/ (sin (/ x (* 2 y))) (* (cos (/ x (* 2 y))) (sin (/ x (* 2 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 (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 (/ x (* 2 y)) #s(hole binary64 (* 1/2 (/ x y))))
#s(approx (* (cos (/ x (* 2 y))) (sin (/ x (* 2 y)))) #s(hole binary64 (* 1/2 (/ x y))))
#s(approx (* (cos (/ x (* 2 y))) (sin (/ x (* 2 y)))) #s(hole binary64 (* x (+ (* -1/12 (/ (pow x 2) (pow y 3))) (* 1/2 (/ 1 y))))))
#s(approx (* (cos (/ x (* 2 y))) (sin (/ x (* 2 y)))) #s(hole binary64 (* x (+ (* (pow x 2) (- (* 1/240 (/ (pow x 2) (pow y 5))) (* 1/12 (/ 1 (pow y 3))))) (* 1/2 (/ 1 y))))))
#s(approx (* (cos (/ x (* 2 y))) (sin (/ x (* 2 y)))) #s(hole binary64 (* x (+ (* (pow x 2) (- (* (pow x 2) (+ (* -1 (* (pow x 2) (+ (* 1/92160 (/ 1 (pow y 7))) (* 19/215040 (/ 1 (pow y 7)))))) (* 1/240 (/ 1 (pow y 5))))) (* 1/12 (/ 1 (pow y 3))))) (* 1/2 (/ 1 y))))))
#s(approx (cos (/ x (* 2 y))) #s(hole binary64 1))
#s(approx (cos (/ x (* 2 y))) #s(hole binary64 (+ 1 (* -1/8 (/ (pow x 2) (pow y 2))))))
#s(approx (cos (/ x (* 2 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 (/ x (* 2 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 (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(hole binary64 (/ 1 (cos (* 1/2 (/ x y))))))
#s(approx (/ 1 (cos (* (/ x y) 1/2))) #s(hole binary64 (/ 1 (cos (* 1/2 (/ x y))))))
#s(approx (cos (* (/ x y) 1/2)) #s(hole binary64 (cos (* 1/2 (/ x y)))))
#s(approx (/ (/ (sin (/ (/ x y) 2)) (cos (/ (/ x y) 2))) (sin (/ x (* y 2)))) #s(hole binary64 (/ 1 (cos (* 1/2 (/ x y))))))
#s(approx (+ (* (/ (* x x) (* y y)) 1/8) 1) #s(hole binary64 (* 1/8 (/ (pow x 2) (pow y 2)))))
#s(approx (+ (* (/ (* x x) (* y y)) 1/8) 1) #s(hole binary64 (* (pow x 2) (+ (/ 1 (pow x 2)) (* 1/8 (/ 1 (pow y 2)))))))
#s(approx (pow (sin (+ (* (/ x y) 1/2) (/ (PI) 2))) -1) #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 (pow (pow (cos (* (/ x y) 1/2)) -1/2) 2) #s(hole binary64 (/ 1 (cos (* 1/2 (/ x y))))))
#s(approx (pow (cos (* (/ x y) 1/2)) -1/2) #s(hole binary64 (sqrt (/ 1 (cos (* 1/2 (/ x y)))))))
#s(approx (/ (sin (/ x (* 2 y))) (* (cos (/ x (* 2 y))) (sin (/ x (* 2 y))))) #s(hole binary64 (/ 1 (cos (* 1/2 (/ x y))))))
#s(approx (sin (/ x (* 2 y))) #s(hole binary64 (sin (* 1/2 (/ x y)))))
#s(approx (* (cos (/ x (* 2 y))) (sin (/ x (* 2 y)))) #s(hole binary64 (* (cos (* 1/2 (/ x y))) (sin (* 1/2 (/ x y))))))
#s(approx (cos (/ x (* 2 y))) #s(hole binary64 (cos (* 1/2 (/ x y)))))
#s(approx (pow (sin (+ (* (/ x y) 1/2) (/ (PI) 2))) -1) #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 (* x (- (* -1/2 (/ (PI) x)) (* 1/2 (/ 1 y)))))))
#s(approx y #s(hole binary64 y))
#s(approx (+ (* (/ (* x x) (* y y)) 1/8) 1) #s(hole binary64 (/ (+ (* 1/8 (pow x 2)) (pow y 2)) (pow y 2))))
#s(approx (* y y) #s(hole binary64 (pow y 2)))
#s(approx (+ (* (/ x y) 1/2) (/ (PI) 2)) #s(hole binary64 (/ (+ (* 1/2 x) (* 1/2 (* 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))))))))
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#s(approx (sin (/ x (* 2 y))) #s(hole binary64 (/ (+ (* -1/48 (/ (pow x 3) (pow y 2))) (* 1/2 x)) y)))
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#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 (pow (sin (+ (* (/ x y) 1/2) (/ (PI) 2))) -1) #s(hole binary64 (+ (* -1 (/ (- (+ (* -1/4 (/ (* (pow x 2) (pow (cos (* 1/2 (PI))) 2)) (* y (pow (sin (* 1/2 (PI))) 3)))) (* -1/8 (/ (pow x 2) (* y (sin (* 1/2 (PI))))))) (* -1/2 (/ (* x (cos (* 1/2 (PI)))) (pow (sin (* 1/2 (PI))) 2)))) y)) (/ 1 (sin (* 1/2 (PI)))))))
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Outputs
#s(approx (/ (/ (sin (/ (/ x y) 2)) (cos (/ (/ x y) 2))) (sin (/ x (* y 2)))) (pow.f64 (cos.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64))) #s(literal -1 binary64)))
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(pow.f64 (.f64 (cos.f64 (.f64 (/.f64 x y) #s(literal 1/2 binary64))) (cos.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64)))) #s(literal -1/2 binary64))
(pow.f64 (pow.f64 (cos.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64))) #s(literal -1 binary64)) #s(literal 1 binary64))
(pow.f64 (pow.f64 (cos.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64))) #s(literal -1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (cos.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64))) #s(literal -1 binary64))
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(/.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64))) #s(literal 1 binary64)))
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#s(literal 1 binary64)
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(/.f64 (*.f64 #s(literal 1/2 binary64) x) y)
(/.f64 (neg.f64 x) (neg.f64 y))
(/.f64 x y)
x
y
#s(literal 1/2 binary64)
#s(approx (/ (/ (sin (/ (/ x y) 2)) (cos (/ (/ x y) 2))) (sin (/ x (* y 2)))) (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/8 binary64) #s(literal 1 binary64)))
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#s(approx (/ (/ (sin (/ (/ x y) 2)) (cos (/ (/ x y) 2))) (sin (/ x (* y 2)))) (-.f64 (fma.f64 (/.f64 (/.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/24 binary64)) x) (.f64 y y)) #s(literal -2 binary64) #s(literal 1 binary64)) (*.f64 #s(literal -1/24 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64)))))
#s(approx (/ (/ (sin (/ (/ x y) 2)) (cos (/ (/ x y) 2))) (sin (/ x (* y 2)))) (-.f64 (fma.f64 #s(literal -2 binary64) (+.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 (pow.f64 y #s(literal 4 binary64)) x)) (/.f64 (/.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/24 binary64)) x) (.f64 y y))) #s(literal 1 binary64)) (fma.f64 (/.f64 (.f64 (fma.f64 (/.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/24 binary64)) x) #s(literal -2 binary64) (.f64 #s(literal 1/24 binary64) (.f64 x x))) (.f64 x x)) (pow.f64 y #s(literal 4 binary64))) #s(literal -1/24 binary64) (fma.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) #s(literal 1/1920 binary64) (.f64 #s(literal -1/24 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64)))))))
#s(approx (/ (/ (sin (/ (/ x y) 2)) (cos (/ (/ x y) 2))) (sin (/ x (* y 2)))) (-.f64 (+.f64 (fma.f64 (/.f64 (-.f64 (.f64 #s(literal -1/3840 binary64) (pow.f64 x #s(literal 5 binary64))) (fma.f64 (.f64 #s(literal -1/8 binary64) (.f64 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 (pow.f64 y #s(literal 4 binary64)) x)) #s(literal -2 binary64) (.f64 #s(literal -2 binary64) (+.f64 (/.f64 (-.f64 (.f64 #s(literal 1/645120 binary64) (pow.f64 x #s(literal 7 binary64))) (fma.f64 (.f64 #s(literal -1/8 binary64) (.f64 x x)) (-.f64 (.f64 #s(literal -1/3840 binary64) (pow.f64 x #s(literal 5 binary64))) (fma.f64 (.f64 #s(literal -1/8 binary64) (.f64 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))))) (fma.f64 (.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/24 binary64)) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/384 binary64) (.f64 (pow.f64 x #s(literal 7 binary64)) #s(literal 1/92160 binary64))))) (.f64 (pow.f64 y #s(literal 6 binary64)) x)) (/.f64 (/.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/24 binary64)) x) (.f64 y y))))) #s(literal 1 binary64)) (fma.f64 (.f64 (.f64 x x) (/.f64 (-.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))))) x) #s(literal -2 binary64)) (fma.f64 (.f64 (fma.f64 (/.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/24 binary64)) x) #s(literal -2 binary64) (.f64 #s(literal 1/24 binary64) (.f64 x x))) (.f64 x x)) #s(literal -1/24 binary64) (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/1920 binary64)))) (pow.f64 y #s(literal 6 binary64)))) #s(literal -1/24 binary64) (fma.f64 (/.f64 (.f64 (fma.f64 (/.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/24 binary64)) x) #s(literal -2 binary64) (.f64 #s(literal 1/24 binary64) (.f64 x x))) (.f64 x x)) (pow.f64 y #s(literal 4 binary64))) #s(literal -1/24 binary64) (fma.f64 #s(literal -1/24 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64)) (fma.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal 6 binary64))) #s(literal -1/322560 binary64) (.f64 #s(literal 1/1920 binary64) (fma.f64 (pow.f64 x #s(literal 4 binary64)) (/.f64 (fma.f64 (/.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/24 binary64)) x) #s(literal -2 binary64) (.f64 #s(literal 1/24 binary64) (.f64 x x))) (pow.f64 y #s(literal 6 binary64))) (/.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64)))))))))))
#s(approx (pow (sin (+ (* (/ x y) 1/2) (/ (PI) 2))) -1) (fma.f64 (/.f64 (fma.f64 (/.f64 (pow.f64 (.f64 (cos.f64 (.f64 (PI.f64) #s(literal 1/2 binary64))) x) #s(literal 2 binary64)) (.f64 (pow.f64 (sin.f64 (.f64 (PI.f64) #s(literal 1/2 binary64))) #s(literal 3 binary64)) y)) #s(literal -1/4 binary64) (-.f64 (.f64 (/.f64 (/.f64 (.f64 x x) y) (sin.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)))) #s(literal -1/8 binary64)) (/.f64 (.f64 (.f64 #s(literal -1/2 binary64) x) (cos.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)))) (pow.f64 (sin.f64 (.f64 (PI.f64) #s(literal 1/2 binary64))) #s(literal 2 binary64))))) y) #s(literal -1 binary64) (pow.f64 (sin.f64 (.f64 (PI.f64) #s(literal 1/2 binary64))) #s(literal -1 binary64))))
#s(approx (pow (sin (+ (* (/ x y) 1/2) (/ (PI) 2))) -1) (fma.f64 (/.f64 (fma.f64 (/.f64 (fma.f64 (.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) y) (/.f64 (cos.f64 (.f64 (PI.f64) #s(literal 1/2 binary64))) (pow.f64 (sin.f64 (.f64 (PI.f64) #s(literal 1/2 binary64))) #s(literal 2 binary64)))) #s(literal -1/16 binary64) (-.f64 (fma.f64 (/.f64 (.f64 (.f64 (cos.f64 (.f64 (PI.f64) #s(literal 1/2 binary64))) x) (fma.f64 (/.f64 (pow.f64 (.f64 (cos.f64 (.f64 (PI.f64) #s(literal 1/2 binary64))) x) #s(literal 2 binary64)) (pow.f64 (sin.f64 (.f64 (PI.f64) #s(literal 1/2 binary64))) #s(literal 3 binary64))) #s(literal -1/4 binary64) (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 x x)) (sin.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)))))) (.f64 (sin.f64 (.f64 (PI.f64) #s(literal 1/2 binary64))) y)) #s(literal 1/2 binary64) (/.f64 (.f64 #s(literal 1/48 binary64) (.f64 (pow.f64 x #s(literal 3 binary64)) (cos.f64 (.f64 (PI.f64) #s(literal 1/2 binary64))))) (.f64 (pow.f64 (sin.f64 (.f64 (PI.f64) #s(literal 1/2 binary64))) #s(literal 2 binary64)) y))) (fma.f64 (/.f64 (pow.f64 (.f64 (cos.f64 (.f64 (PI.f64) #s(literal 1/2 binary64))) x) #s(literal 2 binary64)) (pow.f64 (sin.f64 (.f64 (PI.f64) #s(literal 1/2 binary64))) #s(literal 3 binary64))) #s(literal -1/4 binary64) (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 x x)) (sin.f64 (.f64 (PI.f64) #s(literal 1/2 binary64))))))) y) #s(literal -1 binary64) (.f64 #s(literal 1/2 binary64) (.f64 x (/.f64 (cos.f64 (.f64 (PI.f64) #s(literal 1/2 binary64))) (pow.f64 (sin.f64 (.f64 (PI.f64) #s(literal 1/2 binary64))) #s(literal 2 binary64)))))) y) #s(literal -1 binary64) (pow.f64 (sin.f64 (.f64 (PI.f64) #s(literal 1/2 binary64))) #s(literal -1 binary64))))
#s(approx (sin (+ (* (/ x y) 1/2) (/ (PI) 2))) (fma.f64 (/.f64 (fma.f64 (/.f64 (.f64 (sin.f64 (.f64 (PI.f64) #s(literal 1/2 binary64))) (.f64 x x)) y) #s(literal 1/8 binary64) (.f64 (.f64 #s(literal -1/2 binary64) x) (cos.f64 (.f64 (PI.f64) #s(literal 1/2 binary64))))) y) #s(literal -1 binary64) (sin.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)))))
#s(approx (sin (+ (* (/ x y) 1/2) (/ (PI) 2))) (fma.f64 (/.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) x) (cos.f64 (.f64 (PI.f64) #s(literal 1/2 binary64))) (neg.f64 (/.f64 (fma.f64 (/.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) (cos.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)))) y) #s(literal -1/48 binary64) (.f64 (.f64 #s(literal -1/8 binary64) (.f64 x x)) (sin.f64 (.f64 (PI.f64) #s(literal 1/2 binary64))))) y))) y) #s(literal -1 binary64) (sin.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)))))
#s(approx (sin (/ x (* 2 y))) (neg.f64 (/.f64 (fma.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (.f64 y y)) #s(literal 1/48 binary64) (.f64 #s(literal -1/2 binary64) x)) y)))
#s(approx (sin (/ x (* 2 y))) (neg.f64 (/.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))) (/.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/48 binary64)) (.f64 y y)))) y)))
#s(approx (sin (/ x (* 2 y))) (neg.f64 (/.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 #s(literal 1/645120 binary64) (/.f64 (pow.f64 x #s(literal 7 binary64)) (pow.f64 y #s(literal 6 binary64))) (/.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/48 binary64)) (.f64 y y))))) y)))
#s(approx (* (cos (/ x (* 2 y))) (sin (/ x (* 2 y)))) (neg.f64 (/.f64 (fma.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (.f64 y y)) #s(literal 1/12 binary64) (.f64 #s(literal -1/2 binary64) x)) y)))
#s(approx (* (cos (/ x (* 2 y))) (sin (/ x (* 2 y)))) (neg.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) x (fma.f64 #s(literal -1/384 binary64) (/.f64 (pow.f64 x #s(literal 5 binary64)) (pow.f64 y #s(literal 4 binary64))) (fma.f64 #s(literal -1/768 binary64) (/.f64 (pow.f64 x #s(literal 5 binary64)) (pow.f64 y #s(literal 4 binary64))) (fma.f64 #s(literal -1/3840 binary64) (/.f64 (pow.f64 x #s(literal 5 binary64)) (pow.f64 y #s(literal 4 binary64))) (.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (.f64 y y)) #s(literal 1/12 binary64)))))) y)))
#s(approx (* (cos (/ x (* 2 y))) (sin (/ x (* 2 y)))) (neg.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) x (fma.f64 #s(literal -1/384 binary64) (/.f64 (pow.f64 x #s(literal 5 binary64)) (pow.f64 y #s(literal 4 binary64))) (fma.f64 #s(literal -1/768 binary64) (/.f64 (pow.f64 x #s(literal 5 binary64)) (pow.f64 y #s(literal 4 binary64))) (fma.f64 #s(literal -1/3840 binary64) (/.f64 (pow.f64 x #s(literal 5 binary64)) (pow.f64 y #s(literal 4 binary64))) (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 (pow.f64 x #s(literal 7 binary64)) (pow.f64 y #s(literal 6 binary64))) #s(literal 1/92160 binary64) (fma.f64 #s(literal 1/30720 binary64) (/.f64 (pow.f64 x #s(literal 7 binary64)) (pow.f64 y #s(literal 6 binary64))) (fma.f64 #s(literal 1/18432 binary64) (/.f64 (pow.f64 x #s(literal 7 binary64)) (pow.f64 y #s(literal 6 binary64))) (.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (.f64 y y)) #s(literal 1/12 binary64)))))))))) y)))

eval91.0ms (2%)

Memory: -2.3MiB live, 63.3MiB allocated; 26ms collecting garbage
Compiler: Compiled 11 816 to 1 384 computations (88.3% saved)

prune83.0ms (1.8%)

Memory

-13.3MiB live, 34.6MiB allocated; 7ms collecting garbage

Pruning

30 alts after pruning (26 fresh and 4 done)

	Pruned	Kept	Total
New	312	17	329
Fresh	1	9	10
Picked	2	3	5
Done	0	1	1
Total	315	30	345

Accuracy

61.1%

Counts

345 → 30

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	7.7%	(/.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)))))
	8.0%	(/.f64 (/.f64 (+.f64 (tan.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64))) (tan.f64 (PI.f64))) (-.f64 #s(literal 1 binary64) (.f64 (tan.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64))) (tan.f64 (PI.f64))))) (sin.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))))
	43.2%	(/.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)))))
	42.2%	(/.f64 (/.f64 (neg.f64 (sin.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64)))) (cos.f64 (+.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64)) (PI.f64)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
	43.4%	(/.f64 (tan.f64 (/.f64 x (+.f64 y y))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
	43.5%	(/.f64 (sin.f64 (/.f64 x (+.f64 y y))) (.f64 (cos.f64 (/.f64 x (.f64 #s(literal 2 binary64) y))) (sin.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y)))))
▶	7.9%	(/.f64 (sin.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y))) (/.f64 (-.f64 (cos.f64 (-.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64)) (+.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64))))) (cos.f64 (+.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64)) (+.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64)))))) #s(literal 2 binary64)))
	43.2%	(/.f64 (sin.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y))) (/.f64 (+.f64 (sin.f64 (-.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64)) (/.f64 (/.f64 x y) #s(literal 2 binary64)))) (sin.f64 (+.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64)) (/.f64 (/.f64 x y) #s(literal 2 binary64))))) #s(literal 2 binary64)))
	42.7%	(/.f64 (sin.f64 (/.f64 x (.f64 #s(literal 2 binary64) y))) (.f64 (sin.f64 (+.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64)))) (sin.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y)))))
	43.4%	(/.f64 (sin.f64 (/.f64 x (.f64 #s(literal 2 binary64) y))) (.f64 (sin.f64 (+.f64 (neg.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64))) (/.f64 (PI.f64) #s(literal 2 binary64)))) (sin.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y)))))
✓	46.9%	#s(approx (/ (/ (sin (/ (/ x y) 2)) (cos (/ (/ x y) 2))) (sin (/ x (* y 2)))) (fma.f64 (/.f64 (.f64 x x) (.f64 y y)) #s(literal 1/8 binary64) #s(literal 1 binary64)))
▶	51.0%	#s(approx (/ (/ (sin (/ (/ x y) 2)) (cos (/ (/ x y) 2))) (sin (/ x (* y 2)))) (fma.f64 (*.f64 (/.f64 x y) (/.f64 x y)) #s(literal 1/8 binary64) #s(literal 1 binary64)))
▶	56.0%	#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (pow.f64 (fma.f64 (sin.f64 (.f64 (/.f64 x y) #s(literal 1/2 binary64))) (cos.f64 (/.f64 (PI.f64) #s(literal 2 binary64))) (.f64 (cos.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64))) (sin.f64 (/.f64 (PI.f64) #s(literal 2 binary64))))) #s(literal -1 binary64)))
	53.7%	#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (pow.f64 (pow.f64 (.f64 (cos.f64 (.f64 (/.f64 x y) #s(literal 1/2 binary64))) (cos.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64)))) #s(literal -1/4 binary64)) #s(literal 2 binary64)))
	51.8%	#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (pow.f64 (pow.f64 (sin.f64 (fma.f64 (/.f64 x y) #s(literal 1/2 binary64) (/.f64 (PI.f64) #s(literal 2 binary64)))) #s(literal -1/2 binary64)) #s(literal 2 binary64)))
	52.6%	#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (pow.f64 (pow.f64 (sin.f64 (+.f64 (neg.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64))) (/.f64 (PI.f64) #s(literal 2 binary64)))) #s(literal -1/2 binary64)) #s(literal 2 binary64)))
✓	52.0%	#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (pow.f64 (pow.f64 (cos.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64))) #s(literal -1/2 binary64)) #s(literal 2 binary64)))
▶	52.0%	#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (pow.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (cos.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64))))) #s(literal 2 binary64)))
	52.0%	#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (pow.f64 (+.f64 (cosh.f64 (.f64 (log.f64 (cos.f64 (.f64 (/.f64 x y) #s(literal 1/2 binary64)))) #s(literal -1/2 binary64))) (sinh.f64 (.f64 (log.f64 (cos.f64 (.f64 (/.f64 x y) #s(literal 1/2 binary64)))) #s(literal -1/2 binary64)))) #s(literal 2 binary64)))
	52.0%	#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (pow.f64 (.f64 (pow.f64 (pow.f64 (cos.f64 (.f64 (/.f64 x y) #s(literal 1/2 binary64))) #s(literal -1/2 binary64)) #s(literal 1/2 binary64)) (pow.f64 (pow.f64 (cos.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64))) #s(literal -1/2 binary64)) #s(literal 1/2 binary64))) #s(literal 2 binary64)))
	53.0%	#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (pow.f64 (sin.f64 (/.f64 (fma.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)) #s(literal 1/8 binary64) (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64))) (+.f64 (pow.f64 (.f64 (/.f64 x y) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) (.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64))))))) #s(literal -1 binary64)))
	55.4%	#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (pow.f64 (sin.f64 #s(approx (+ (* (/ x y) 1/2) (/ (PI) 2)) (*.f64 (fma.f64 (/.f64 (PI.f64) x) #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) y)) x))) #s(literal -1 binary64)))
	47.5%	#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (pow.f64 #s(approx (cos (* (/ x y) 1/2)) (fma.f64 #s(literal -1/8 binary64) (/.f64 (.f64 x x) (.f64 y y)) #s(literal 1 binary64))) #s(literal -1 binary64)))
	55.2%	#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))))))
	55.9%	#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (sin.f64 (+.f64 (neg.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64))) (/.f64 (PI.f64) #s(literal 2 binary64))))))
✓	56.0%	#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64)))))
	55.0%	#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal -1 binary64) (cos.f64 (fma.f64 (/.f64 x y) #s(literal 1/2 binary64) (PI.f64)))))
	52.0%	#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (+.f64 (cosh.f64 (.f64 (log.f64 (cos.f64 (.f64 (/.f64 x y) #s(literal 1/2 binary64)))) #s(literal -1 binary64))) (sinh.f64 (.f64 (log.f64 (cos.f64 (.f64 (/.f64 x y) #s(literal 1/2 binary64)))) #s(literal -1 binary64)))))
	51.4%	#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(approx (pow (sin (+ (* (/ x y) 1/2) (/ (PI) 2))) -1) (fma.f64 (.f64 (/.f64 x y) (/.f64 (cos.f64 (.f64 (PI.f64) #s(literal 1/2 binary64))) (pow.f64 (sin.f64 (.f64 (PI.f64) #s(literal 1/2 binary64))) #s(literal 2 binary64)))) #s(literal -1/2 binary64) (pow.f64 (sin.f64 (.f64 (PI.f64) #s(literal 1/2 binary64))) #s(literal -1 binary64)))))
✓	54.5%	#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(literal 1 binary64))

Compiler

Compiled 1 658 to 1 023 computations (38.3% saved)

series109.0ms (2.4%)

Memory

12.5MiB live, 102.3MiB allocated; 9ms collecting garbage

Counts

46 → 220

Calls

Call 1

Inputs
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (pow.f64 (fma.f64 (sin.f64 (.f64 (/.f64 x y) #s(literal 1/2 binary64))) (cos.f64 (/.f64 (PI.f64) #s(literal 2 binary64))) (.f64 (cos.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64))) (sin.f64 (/.f64 (PI.f64) #s(literal 2 binary64))))) #s(literal -1 binary64)))
(pow.f64 (fma.f64 (sin.f64 (.f64 (/.f64 x y) #s(literal 1/2 binary64))) (cos.f64 (/.f64 (PI.f64) #s(literal 2 binary64))) (.f64 (cos.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64))) (sin.f64 (/.f64 (PI.f64) #s(literal 2 binary64))))) #s(literal -1 binary64))
(fma.f64 (sin.f64 (.f64 (/.f64 x y) #s(literal 1/2 binary64))) (cos.f64 (/.f64 (PI.f64) #s(literal 2 binary64))) (.f64 (cos.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64))) (sin.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))))
(sin.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64)))
(*.f64 (/.f64 x y) #s(literal 1/2 binary64))
(/.f64 x y)
x
y
#s(literal 1/2 binary64)
(cos.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))
(/.f64 (PI.f64) #s(literal 2 binary64))
(PI.f64)
#s(literal 2 binary64)
(.f64 (cos.f64 (.f64 (/.f64 x y) #s(literal 1/2 binary64))) (sin.f64 (/.f64 (PI.f64) #s(literal 2 binary64))))
(cos.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64)))
(sin.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))
#s(literal -1 binary64)
#s(approx (/ (/ (sin (/ (/ x y) 2)) (cos (/ (/ x y) 2))) (sin (/ x (* y 2)))) (fma.f64 (*.f64 (/.f64 x y) (/.f64 x y)) #s(literal 1/8 binary64) #s(literal 1 binary64)))
(fma.f64 (*.f64 (/.f64 x y) (/.f64 x y)) #s(literal 1/8 binary64) #s(literal 1 binary64))
(*.f64 (/.f64 x y) (/.f64 x y))
#s(literal 1/8 binary64)
#s(literal 1 binary64)
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (pow.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (cos.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64))))) #s(literal 2 binary64)))
(pow.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (cos.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64))))) #s(literal 2 binary64))
(/.f64 #s(literal 1 binary64) (sqrt.f64 (cos.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64)))))
(sqrt.f64 (cos.f64 (*.f64 (/.f64 x y) #s(literal 1/2 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))
(sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))
(/.f64 x (*.f64 y #s(literal 2 binary64)))
(*.f64 y #s(literal 2 binary64))
(/.f64 (sin.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y))) (/.f64 (-.f64 (cos.f64 (-.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64)) (+.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64))))) (cos.f64 (+.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64)) (+.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64)))))) #s(literal 2 binary64)))
(sin.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y)))
(/.f64 x (*.f64 #s(literal 2 binary64) y))
(*.f64 #s(literal 2 binary64) y)
(/.f64 (-.f64 (cos.f64 (-.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64)) (+.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64))))) (cos.f64 (+.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64)) (+.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64)))))) #s(literal 2 binary64))
(-.f64 (cos.f64 (-.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64)) (+.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64))))) (cos.f64 (+.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64)) (+.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64))))))
(cos.f64 (-.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64)) (+.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64)))))
(-.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64)) (+.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64))))
(/.f64 (/.f64 x y) #s(literal 2 binary64))
(+.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64)))
(cos.f64 (+.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64)) (+.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64)))))
(+.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64)) (+.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64)) (/.f64 (PI.f64) #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 (pow (+ (* (sin (* (/ x y) 1/2)) (cos (/ (PI) 2))) (* (cos (* (/ x y) 1/2)) (sin (/ (PI) 2)))) -1) #s(hole binary64 (/ 1 (sin (* 1/2 (PI))))))
#s(approx (pow (+ (* (sin (* (/ x y) 1/2)) (cos (/ (PI) 2))) (* (cos (* (/ x y) 1/2)) (sin (/ (PI) 2)))) -1) #s(hole binary64 (+ (* -1/2 (/ (* x (cos (* 1/2 (PI)))) (* y (pow (sin (* 1/2 (PI))) 2)))) (/ 1 (sin (* 1/2 (PI)))))))
#s(approx (pow (+ (* (sin (* (/ x y) 1/2)) (cos (/ (PI) 2))) (* (cos (* (/ x y) 1/2)) (sin (/ (PI) 2)))) -1) #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 (pow (+ (* (sin (* (/ x y) 1/2)) (cos (/ (PI) 2))) (* (cos (* (/ x y) 1/2)) (sin (/ (PI) 2)))) -1) #s(hole binary64 (+ (* x (- (* x (- (+ (* -1 (* x (+ (* -1/48 (/ (cos (* 1/2 (PI))) (* (pow y 3) (pow (sin (* 1/2 (PI))) 2)))) (+ (* 1/16 (/ (cos (* 1/2 (PI))) (* (pow y 3) (pow (sin (* 1/2 (PI))) 2)))) (* 1/2 (/ (* (cos (* 1/2 (PI))) (- (* 1/8 (/ 1 (* (pow y 2) (sin (* 1/2 (PI)))))) (* -1/4 (/ (pow (cos (* 1/2 (PI))) 2) (* (pow y 2) (pow (sin (* 1/2 (PI))) 3)))))) (* y (sin (* 1/2 (PI)))))))))) (* 1/8 (/ 1 (* (pow y 2) (sin (* 1/2 (PI))))))) (* -1/4 (/ (pow (cos (* 1/2 (PI))) 2) (* (pow y 2) (pow (sin (* 1/2 (PI))) 3)))))) (* 1/2 (/ (cos (* 1/2 (PI))) (* y (pow (sin (* 1/2 (PI))) 2)))))) (/ 1 (sin (* 1/2 (PI)))))))
#s(approx (+ (* (sin (* (/ x y) 1/2)) (cos (/ (PI) 2))) (* (cos (* (/ x y) 1/2)) (sin (/ (PI) 2)))) #s(hole binary64 (sin (* 1/2 (PI)))))
#s(approx (+ (* (sin (* (/ x y) 1/2)) (cos (/ (PI) 2))) (* (cos (* (/ x y) 1/2)) (sin (/ (PI) 2)))) #s(hole binary64 (+ (sin (* 1/2 (PI))) (* 1/2 (/ (* x (cos (* 1/2 (PI)))) y)))))
#s(approx (+ (* (sin (* (/ x y) 1/2)) (cos (/ (PI) 2))) (* (cos (* (/ x y) 1/2)) (sin (/ (PI) 2)))) #s(hole binary64 (+ (sin (* 1/2 (PI))) (* x (+ (* -1/8 (/ (* x (sin (* 1/2 (PI)))) (pow y 2))) (* 1/2 (/ (cos (* 1/2 (PI))) y)))))))
#s(approx (+ (* (sin (* (/ x y) 1/2)) (cos (/ (PI) 2))) (* (cos (* (/ x y) 1/2)) (sin (/ (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 (sin (* (/ x y) 1/2)) #s(hole binary64 (* 1/2 (/ x y))))
#s(approx (sin (* (/ x y) 1/2)) #s(hole binary64 (* x (+ (* -1/48 (/ (pow x 2) (pow y 3))) (* 1/2 (/ 1 y))))))
#s(approx (sin (* (/ x y) 1/2)) #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) 1/2)) #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 x #s(hole binary64 x))
#s(approx (* (cos (* (/ x y) 1/2)) (sin (/ (PI) 2))) #s(hole binary64 (sin (* 1/2 (PI)))))
#s(approx (* (cos (* (/ x y) 1/2)) (sin (/ (PI) 2))) #s(hole binary64 (+ (sin (* 1/2 (PI))) (* -1/8 (/ (* (pow x 2) (sin (* 1/2 (PI)))) (pow y 2))))))
#s(approx (* (cos (* (/ x y) 1/2)) (sin (/ (PI) 2))) #s(hole binary64 (+ (sin (* 1/2 (PI))) (* (pow x 2) (+ (* -1/8 (/ (sin (* 1/2 (PI))) (pow y 2))) (* 1/384 (/ (* (pow x 2) (sin (* 1/2 (PI)))) (pow y 4))))))))
#s(approx (* (cos (* (/ x y) 1/2)) (sin (/ (PI) 2))) #s(hole binary64 (+ (sin (* 1/2 (PI))) (* (pow x 2) (+ (* -1/8 (/ (sin (* 1/2 (PI))) (pow y 2))) (* (pow x 2) (+ (* -1/46080 (/ (* (pow x 2) (sin (* 1/2 (PI)))) (pow y 6))) (* 1/384 (/ (sin (* 1/2 (PI))) (pow y 4))))))))))
#s(approx (cos (* (/ x y) 1/2)) #s(hole binary64 1))
#s(approx (cos (* (/ x y) 1/2)) #s(hole binary64 (+ 1 (* -1/8 (/ (pow x 2) (pow y 2))))))
#s(approx (cos (* (/ x y) 1/2)) #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) 1/2)) #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 (/ (/ (sin (/ (/ x y) 2)) (cos (/ (/ x y) 2))) (sin (/ x (* y 2)))) #s(hole binary64 1))
#s(approx (/ (/ (sin (/ (/ x y) 2)) (cos (/ (/ x y) 2))) (sin (/ x (* y 2)))) #s(hole binary64 (+ 1 (* 1/8 (/ (pow x 2) (pow y 2))))))
#s(approx (/ (/ (sin (/ (/ x y) 2)) (cos (/ (/ 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 (/ (/ (sin (/ (/ x y) 2)) (cos (/ (/ 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 y) (/ x y)) 1/8) 1) #s(hole binary64 1))
#s(approx (+ (* (* (/ x y) (/ x y)) 1/8) 1) #s(hole binary64 (+ 1 (* 1/8 (/ (pow x 2) (pow y 2))))))
#s(approx (* (/ x y) (/ x y)) #s(hole binary64 (/ (pow x 2) (pow y 2))))
#s(approx (pow (/ 1 (sqrt (cos (* (/ x y) 1/2)))) 2) #s(hole binary64 1))
#s(approx (pow (/ 1 (sqrt (cos (* (/ x y) 1/2)))) 2) #s(hole binary64 (+ 1 (* 1/8 (/ (pow x 2) (pow y 2))))))
#s(approx (pow (/ 1 (sqrt (cos (* (/ x y) 1/2)))) 2) #s(hole binary64 (+ 1 (* (pow x 2) (+ (* 5/384 (/ (pow x 2) (pow y 4))) (* 1/8 (/ 1 (pow y 2))))))))
#s(approx (pow (/ 1 (sqrt (cos (* (/ x y) 1/2)))) 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 (/ 1 (sqrt (cos (* (/ x y) 1/2)))) #s(hole binary64 1))
#s(approx (/ 1 (sqrt (cos (* (/ x y) 1/2)))) #s(hole binary64 (+ 1 (* 1/16 (/ (pow x 2) (pow y 2))))))
#s(approx (/ 1 (sqrt (cos (* (/ x y) 1/2)))) #s(hole binary64 (+ 1 (* (pow x 2) (+ (* 7/1536 (/ (pow x 2) (pow y 4))) (* 1/16 (/ 1 (pow y 2))))))))
#s(approx (/ 1 (sqrt (cos (* (/ x y) 1/2)))) #s(hole binary64 (+ 1 (* (pow x 2) (+ (* (pow x 2) (+ (* 139/368640 (/ (pow x 2) (pow y 6))) (* 7/1536 (/ 1 (pow y 4))))) (* 1/16 (/ 1 (pow y 2))))))))
#s(approx (sqrt (cos (* (/ x y) 1/2))) #s(hole binary64 1))
#s(approx (sqrt (cos (* (/ x y) 1/2))) #s(hole binary64 (+ 1 (* -1/16 (/ (pow x 2) (pow y 2))))))
#s(approx (sqrt (cos (* (/ x y) 1/2))) #s(hole binary64 (+ 1 (* (pow x 2) (- (* -1/1536 (/ (pow x 2) (pow y 4))) (* 1/16 (/ 1 (pow y 2))))))))
#s(approx (sqrt (cos (* (/ x y) 1/2))) #s(hole binary64 (+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -19/368640 (/ (pow x 2) (pow y 6))) (* 1/1536 (/ 1 (pow y 4))))) (* 1/16 (/ 1 (pow y 2))))))))
#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 (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 (/ (sin (/ x (* 2 y))) (/ (- (cos (- (/ (/ x y) 2) (+ (/ (/ x y) 2) (/ (PI) 2)))) (cos (+ (/ (/ x y) 2) (+ (/ (/ x y) 2) (/ (PI) 2))))) 2)) #s(hole binary64 (/ x (* y (- (cos (neg (* 1/2 (PI)))) (cos (* 1/2 (PI))))))))
#s(approx (/ (sin (/ x (* 2 y))) (/ (- (cos (- (/ (/ x y) 2) (+ (/ (/ x y) 2) (/ (PI) 2)))) (cos (+ (/ (/ x y) 2) (+ (/ (/ x y) 2) (/ (PI) 2))))) 2)) #s(hole binary64 (* x (+ (* -1 (/ (* x (sin (* 1/2 (PI)))) (* (pow y 2) (pow (- (cos (neg (* 1/2 (PI)))) (cos (* 1/2 (PI)))) 2)))) (/ 1 (* y (- (cos (neg (* 1/2 (PI)))) (cos (* 1/2 (PI))))))))))
#s(approx (/ (sin (/ x (* 2 y))) (/ (- (cos (- (/ (/ x y) 2) (+ (/ (/ x y) 2) (/ (PI) 2)))) (cos (+ (/ (/ x y) 2) (+ (/ (/ x y) 2) (/ (PI) 2))))) 2)) #s(hole binary64 (* x (+ (* x (+ (* -2 (* x (+ (* -1/2 (/ (pow (sin (* 1/2 (PI))) 2) (* (pow y 3) (pow (- (cos (neg (* 1/2 (PI)))) (cos (* 1/2 (PI)))) 3)))) (+ (* 1/48 (/ 1 (* (pow y 3) (- (cos (neg (* 1/2 (PI)))) (cos (* 1/2 (PI))))))) (* 1/4 (/ (cos (* 1/2 (PI))) (* (pow y 3) (pow (- (cos (neg (* 1/2 (PI)))) (cos (* 1/2 (PI)))) 2)))))))) (* -1 (/ (sin (* 1/2 (PI))) (* (pow y 2) (pow (- (cos (neg (* 1/2 (PI)))) (cos (* 1/2 (PI)))) 2)))))) (/ 1 (* y (- (cos (neg (* 1/2 (PI)))) (cos (* 1/2 (PI))))))))))
#s(approx (/ (sin (/ x (* 2 y))) (/ (- (cos (- (/ (/ x y) 2) (+ (/ (/ x y) 2) (/ (PI) 2)))) (cos (+ (/ (/ x y) 2) (+ (/ (/ x y) 2) (/ (PI) 2))))) 2)) #s(hole binary64 (* x (+ (* x (+ (* -1 (/ (sin (* 1/2 (PI))) (* (pow y 2) (pow (- (cos (neg (* 1/2 (PI)))) (cos (* 1/2 (PI)))) 2)))) (* x (+ (* -2 (* x (+ (* -1 (/ (* (sin (* 1/2 (PI))) (+ (* -1/2 (/ (pow (sin (* 1/2 (PI))) 2) (* (pow y 3) (pow (- (cos (neg (* 1/2 (PI)))) (cos (* 1/2 (PI)))) 3)))) (+ (* 1/48 (/ 1 (* (pow y 3) (- (cos (neg (* 1/2 (PI)))) (cos (* 1/2 (PI))))))) (* 1/4 (/ (cos (* 1/2 (PI))) (* (pow y 3) (pow (- (cos (neg (* 1/2 (PI)))) (cos (* 1/2 (PI)))) 2))))))) (* y (- (cos (neg (* 1/2 (PI)))) (cos (* 1/2 (PI))))))) (+ (* -1/4 (/ (* (cos (* 1/2 (PI))) (sin (* 1/2 (PI)))) (* (pow y 4) (pow (- (cos (neg (* 1/2 (PI)))) (cos (* 1/2 (PI)))) 3)))) (* -1/12 (/ (sin (* 1/2 (PI))) (* (pow y 4) (pow (- (cos (neg (* 1/2 (PI)))) (cos (* 1/2 (PI)))) 2)))))))) (* -2 (+ (* -1/2 (/ (pow (sin (* 1/2 (PI))) 2) (* (pow y 3) (pow (- (cos (neg (* 1/2 (PI)))) (cos (* 1/2 (PI)))) 3)))) (+ (* 1/48 (/ 1 (* (pow y 3) (- (cos (neg (* 1/2 (PI)))) (cos (* 1/2 (PI))))))) (* 1/4 (/ (cos (* 1/2 (PI))) (* (pow y 3) (pow (- (cos (neg (* 1/2 (PI)))) (cos (* 1/2 (PI)))) 2))))))))))) (/ 1 (* y (- (cos (neg (* 1/2 (PI)))) (cos (* 1/2 (PI))))))))))
#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 (/ x (* 2 y)) #s(hole binary64 (* 1/2 (/ x y))))
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Calls

6 calls:

Time	Variable		Point	Expression
34.0ms	x	@	inf	((/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (pow (+ (* (sin (* (/ x y) 1/2)) (cos (/ (PI) 2))) (* (cos (* (/ x y) 1/2)) (sin (/ (PI) 2)))) -1) (+ (* (sin (* (/ x y) 1/2)) (cos (/ (PI) 2))) (* (cos (* (/ x y) 1/2)) (sin (/ (PI) 2)))) (sin (* (/ x y) 1/2)) (* (/ x y) 1/2) (/ x y) x y 1/2 (cos (/ (PI) 2)) (/ (PI) 2) (PI) 2 (* (cos (* (/ x y) 1/2)) (sin (/ (PI) 2))) (cos (* (/ x y) 1/2)) (sin (/ (PI) 2)) -1 (/ (/ (sin (/ (/ x y) 2)) (cos (/ (/ x y) 2))) (sin (/ x (* y 2)))) (+ (* (* (/ x y) (/ x y)) 1/8) 1) (* (/ x y) (/ x y)) 1/8 1 (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (pow (/ 1 (sqrt (cos (* (/ x y) 1/2)))) 2) (/ 1 (sqrt (cos (* (/ x y) 1/2)))) (sqrt (cos (* (/ x y) 1/2))) (/ (/ (- 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)) (sin (/ x (* y 2))) (/ x (* y 2)) (* y 2) (/ (sin (/ x (* 2 y))) (/ (- (cos (- (/ (/ x y) 2) (+ (/ (/ x y) 2) (/ (PI) 2)))) (cos (+ (/ (/ x y) 2) (+ (/ (/ x y) 2) (/ (PI) 2))))) 2)) (sin (/ x (* 2 y))) (/ x (* 2 y)) (* 2 y) (/ (- (cos (- (/ (/ x y) 2) (+ (/ (/ x y) 2) (/ (PI) 2)))) (cos (+ (/ (/ x y) 2) (+ (/ (/ x y) 2) (/ (PI) 2))))) 2) (- (cos (- (/ (/ x y) 2) (+ (/ (/ x y) 2) (/ (PI) 2)))) (cos (+ (/ (/ x y) 2) (+ (/ (/ x y) 2) (/ (PI) 2))))) (cos (- (/ (/ x y) 2) (+ (/ (/ x y) 2) (/ (PI) 2)))) (- (/ (/ x y) 2) (+ (/ (/ x y) 2) (/ (PI) 2))) (/ (/ x y) 2) (+ (/ (/ x y) 2) (/ (PI) 2)) (cos (+ (/ (/ x y) 2) (+ (/ (/ x y) 2) (/ (PI) 2)))) (+ (/ (/ x y) 2) (+ (/ (/ x y) 2) (/ (PI) 2))))
26.0ms	y	@	inf	((/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (pow (+ (* (sin (* (/ x y) 1/2)) (cos (/ (PI) 2))) (* (cos (* (/ x y) 1/2)) (sin (/ (PI) 2)))) -1) (+ (* (sin (* (/ x y) 1/2)) (cos (/ (PI) 2))) (* (cos (* (/ x y) 1/2)) (sin (/ (PI) 2)))) (sin (* (/ x y) 1/2)) (* (/ x y) 1/2) (/ x y) x y 1/2 (cos (/ (PI) 2)) (/ (PI) 2) (PI) 2 (* (cos (* (/ x y) 1/2)) (sin (/ (PI) 2))) (cos (* (/ x y) 1/2)) (sin (/ (PI) 2)) -1 (/ (/ (sin (/ (/ x y) 2)) (cos (/ (/ x y) 2))) (sin (/ x (* y 2)))) (+ (* (* (/ x y) (/ x y)) 1/8) 1) (* (/ x y) (/ x y)) 1/8 1 (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (pow (/ 1 (sqrt (cos (* (/ x y) 1/2)))) 2) (/ 1 (sqrt (cos (* (/ x y) 1/2)))) (sqrt (cos (* (/ x y) 1/2))) (/ (/ (- 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)) (sin (/ x (* y 2))) (/ x (* y 2)) (* y 2) (/ (sin (/ x (* 2 y))) (/ (- (cos (- (/ (/ x y) 2) (+ (/ (/ x y) 2) (/ (PI) 2)))) (cos (+ (/ (/ x y) 2) (+ (/ (/ x y) 2) (/ (PI) 2))))) 2)) (sin (/ x (* 2 y))) (/ x (* 2 y)) (* 2 y) (/ (- (cos (- (/ (/ x y) 2) (+ (/ (/ x y) 2) (/ (PI) 2)))) (cos (+ (/ (/ x y) 2) (+ (/ (/ x y) 2) (/ (PI) 2))))) 2) (- (cos (- (/ (/ x y) 2) (+ (/ (/ x y) 2) (/ (PI) 2)))) (cos (+ (/ (/ x y) 2) (+ (/ (/ x y) 2) (/ (PI) 2))))) (cos (- (/ (/ x y) 2) (+ (/ (/ x y) 2) (/ (PI) 2)))) (- (/ (/ x y) 2) (+ (/ (/ x y) 2) (/ (PI) 2))) (/ (/ x y) 2) (+ (/ (/ x y) 2) (/ (PI) 2)) (cos (+ (/ (/ x y) 2) (+ (/ (/ x y) 2) (/ (PI) 2)))) (+ (/ (/ x y) 2) (+ (/ (/ x y) 2) (/ (PI) 2))))
16.0ms	x	@	0	((/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (pow (+ (* (sin (* (/ x y) 1/2)) (cos (/ (PI) 2))) (* (cos (* (/ x y) 1/2)) (sin (/ (PI) 2)))) -1) (+ (* (sin (* (/ x y) 1/2)) (cos (/ (PI) 2))) (* (cos (* (/ x y) 1/2)) (sin (/ (PI) 2)))) (sin (* (/ x y) 1/2)) (* (/ x y) 1/2) (/ x y) x y 1/2 (cos (/ (PI) 2)) (/ (PI) 2) (PI) 2 (* (cos (* (/ x y) 1/2)) (sin (/ (PI) 2))) (cos (* (/ x y) 1/2)) (sin (/ (PI) 2)) -1 (/ (/ (sin (/ (/ x y) 2)) (cos (/ (/ x y) 2))) (sin (/ x (* y 2)))) (+ (* (* (/ x y) (/ x y)) 1/8) 1) (* (/ x y) (/ x y)) 1/8 1 (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (pow (/ 1 (sqrt (cos (* (/ x y) 1/2)))) 2) (/ 1 (sqrt (cos (* (/ x y) 1/2)))) (sqrt (cos (* (/ x y) 1/2))) (/ (/ (- 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)) (sin (/ x (* y 2))) (/ x (* y 2)) (* y 2) (/ (sin (/ x (* 2 y))) (/ (- (cos (- (/ (/ x y) 2) (+ (/ (/ x y) 2) (/ (PI) 2)))) (cos (+ (/ (/ x y) 2) (+ (/ (/ x y) 2) (/ (PI) 2))))) 2)) (sin (/ x (* 2 y))) (/ x (* 2 y)) (* 2 y) (/ (- (cos (- (/ (/ x y) 2) (+ (/ (/ x y) 2) (/ (PI) 2)))) (cos (+ (/ (/ x y) 2) (+ (/ (/ x y) 2) (/ (PI) 2))))) 2) (- (cos (- (/ (/ x y) 2) (+ (/ (/ x y) 2) (/ (PI) 2)))) (cos (+ (/ (/ x y) 2) (+ (/ (/ x y) 2) (/ (PI) 2))))) (cos (- (/ (/ x y) 2) (+ (/ (/ x y) 2) (/ (PI) 2)))) (- (/ (/ x y) 2) (+ (/ (/ x y) 2) (/ (PI) 2))) (/ (/ x y) 2) (+ (/ (/ x y) 2) (/ (PI) 2)) (cos (+ (/ (/ x y) 2) (+ (/ (/ x y) 2) (/ (PI) 2)))) (+ (/ (/ x y) 2) (+ (/ (/ x y) 2) (/ (PI) 2))))
9.0ms	y	@	-inf	((/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (pow (+ (* (sin (* (/ x y) 1/2)) (cos (/ (PI) 2))) (* (cos (* (/ x y) 1/2)) (sin (/ (PI) 2)))) -1) (+ (* (sin (* (/ x y) 1/2)) (cos (/ (PI) 2))) (* (cos (* (/ x y) 1/2)) (sin (/ (PI) 2)))) (sin (* (/ x y) 1/2)) (* (/ x y) 1/2) (/ x y) x y 1/2 (cos (/ (PI) 2)) (/ (PI) 2) (PI) 2 (* (cos (* (/ x y) 1/2)) (sin (/ (PI) 2))) (cos (* (/ x y) 1/2)) (sin (/ (PI) 2)) -1 (/ (/ (sin (/ (/ x y) 2)) (cos (/ (/ x y) 2))) (sin (/ x (* y 2)))) (+ (* (* (/ x y) (/ x y)) 1/8) 1) (* (/ x y) (/ x y)) 1/8 1 (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (pow (/ 1 (sqrt (cos (* (/ x y) 1/2)))) 2) (/ 1 (sqrt (cos (* (/ x y) 1/2)))) (sqrt (cos (* (/ x y) 1/2))) (/ (/ (- 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)) (sin (/ x (* y 2))) (/ x (* y 2)) (* y 2) (/ (sin (/ x (* 2 y))) (/ (- (cos (- (/ (/ x y) 2) (+ (/ (/ x y) 2) (/ (PI) 2)))) (cos (+ (/ (/ x y) 2) (+ (/ (/ x y) 2) (/ (PI) 2))))) 2)) (sin (/ x (* 2 y))) (/ x (* 2 y)) (* 2 y) (/ (- (cos (- (/ (/ x y) 2) (+ (/ (/ x y) 2) (/ (PI) 2)))) (cos (+ (/ (/ x y) 2) (+ (/ (/ x y) 2) (/ (PI) 2))))) 2) (- (cos (- (/ (/ x y) 2) (+ (/ (/ x y) 2) (/ (PI) 2)))) (cos (+ (/ (/ x y) 2) (+ (/ (/ x y) 2) (/ (PI) 2))))) (cos (- (/ (/ x y) 2) (+ (/ (/ x y) 2) (/ (PI) 2)))) (- (/ (/ x y) 2) (+ (/ (/ x y) 2) (/ (PI) 2))) (/ (/ x y) 2) (+ (/ (/ x y) 2) (/ (PI) 2)) (cos (+ (/ (/ x y) 2) (+ (/ (/ x y) 2) (/ (PI) 2)))) (+ (/ (/ x y) 2) (+ (/ (/ x y) 2) (/ (PI) 2))))
9.0ms	x	@	-inf	((/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (pow (+ (* (sin (* (/ x y) 1/2)) (cos (/ (PI) 2))) (* (cos (* (/ x y) 1/2)) (sin (/ (PI) 2)))) -1) (+ (* (sin (* (/ x y) 1/2)) (cos (/ (PI) 2))) (* (cos (* (/ x y) 1/2)) (sin (/ (PI) 2)))) (sin (* (/ x y) 1/2)) (* (/ x y) 1/2) (/ x y) x y 1/2 (cos (/ (PI) 2)) (/ (PI) 2) (PI) 2 (* (cos (* (/ x y) 1/2)) (sin (/ (PI) 2))) (cos (* (/ x y) 1/2)) (sin (/ (PI) 2)) -1 (/ (/ (sin (/ (/ x y) 2)) (cos (/ (/ x y) 2))) (sin (/ x (* y 2)))) (+ (* (* (/ x y) (/ x y)) 1/8) 1) (* (/ x y) (/ x y)) 1/8 1 (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (pow (/ 1 (sqrt (cos (* (/ x y) 1/2)))) 2) (/ 1 (sqrt (cos (* (/ x y) 1/2)))) (sqrt (cos (* (/ x y) 1/2))) (/ (/ (- 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)) (sin (/ x (* y 2))) (/ x (* y 2)) (* y 2) (/ (sin (/ x (* 2 y))) (/ (- (cos (- (/ (/ x y) 2) (+ (/ (/ x y) 2) (/ (PI) 2)))) (cos (+ (/ (/ x y) 2) (+ (/ (/ x y) 2) (/ (PI) 2))))) 2)) (sin (/ x (* 2 y))) (/ x (* 2 y)) (* 2 y) (/ (- (cos (- (/ (/ x y) 2) (+ (/ (/ x y) 2) (/ (PI) 2)))) (cos (+ (/ (/ x y) 2) (+ (/ (/ x y) 2) (/ (PI) 2))))) 2) (- (cos (- (/ (/ x y) 2) (+ (/ (/ x y) 2) (/ (PI) 2)))) (cos (+ (/ (/ x y) 2) (+ (/ (/ x y) 2) (/ (PI) 2))))) (cos (- (/ (/ x y) 2) (+ (/ (/ x y) 2) (/ (PI) 2)))) (- (/ (/ x y) 2) (+ (/ (/ x y) 2) (/ (PI) 2))) (/ (/ x y) 2) (+ (/ (/ x y) 2) (/ (PI) 2)) (cos (+ (/ (/ x y) 2) (+ (/ (/ x y) 2) (/ (PI) 2)))) (+ (/ (/ x y) 2) (+ (/ (/ x y) 2) (/ (PI) 2))))

rewrite267.0ms (5.9%)

Memory

6.6MiB live, 189.3MiB allocated; 26ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1420	11743
0	1497	9749
0	8105	9453

Stop Event

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

Counts

266 → 339

Calls

Call 1

Inputs
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (pow.f64 (fma.f64 (sin.f64 (.f64 (/.f64 x y) #s(literal 1/2 binary64))) (cos.f64 (/.f64 (PI.f64) #s(literal 2 binary64))) (.f64 (cos.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64))) (sin.f64 (/.f64 (PI.f64) #s(literal 2 binary64))))) #s(literal -1 binary64)))
(pow.f64 (fma.f64 (sin.f64 (.f64 (/.f64 x y) #s(literal 1/2 binary64))) (cos.f64 (/.f64 (PI.f64) #s(literal 2 binary64))) (.f64 (cos.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64))) (sin.f64 (/.f64 (PI.f64) #s(literal 2 binary64))))) #s(literal -1 binary64))
(fma.f64 (sin.f64 (.f64 (/.f64 x y) #s(literal 1/2 binary64))) (cos.f64 (/.f64 (PI.f64) #s(literal 2 binary64))) (.f64 (cos.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64))) (sin.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))))
(sin.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64)))
(*.f64 (/.f64 x y) #s(literal 1/2 binary64))
(/.f64 x y)
x
y
#s(literal 1/2 binary64)
(cos.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))
(/.f64 (PI.f64) #s(literal 2 binary64))
(PI.f64)
#s(literal 2 binary64)
(.f64 (cos.f64 (.f64 (/.f64 x y) #s(literal 1/2 binary64))) (sin.f64 (/.f64 (PI.f64) #s(literal 2 binary64))))
(cos.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64)))
(sin.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))
#s(literal -1 binary64)
#s(approx (/ (/ (sin (/ (/ x y) 2)) (cos (/ (/ x y) 2))) (sin (/ x (* y 2)))) (fma.f64 (*.f64 (/.f64 x y) (/.f64 x y)) #s(literal 1/8 binary64) #s(literal 1 binary64)))
(fma.f64 (*.f64 (/.f64 x y) (/.f64 x y)) #s(literal 1/8 binary64) #s(literal 1 binary64))
(*.f64 (/.f64 x y) (/.f64 x y))
#s(literal 1/8 binary64)
#s(literal 1 binary64)
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (pow.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (cos.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64))))) #s(literal 2 binary64)))
(pow.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (cos.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64))))) #s(literal 2 binary64))
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(sin.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y)))
(/.f64 x (*.f64 #s(literal 2 binary64) y))
(*.f64 #s(literal 2 binary64) y)
(/.f64 (-.f64 (cos.f64 (-.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64)) (+.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64))))) (cos.f64 (+.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64)) (+.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64)))))) #s(literal 2 binary64))
(-.f64 (cos.f64 (-.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64)) (+.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64))))) (cos.f64 (+.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64)) (+.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64))))))
(cos.f64 (-.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64)) (+.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64)))))
(-.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64)) (+.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64))))
(/.f64 (/.f64 x y) #s(literal 2 binary64))
(+.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64)))
(cos.f64 (+.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64)) (+.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64)))))
(+.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64)) (+.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64))))
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#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 (pow (+ (* (sin (* (/ x y) 1/2)) (cos (/ (PI) 2))) (* (cos (* (/ x y) 1/2)) (sin (/ (PI) 2)))) -1) #s(hole binary64 (/ 1 (sin (* 1/2 (PI))))))
#s(approx (pow (+ (* (sin (* (/ x y) 1/2)) (cos (/ (PI) 2))) (* (cos (* (/ x y) 1/2)) (sin (/ (PI) 2)))) -1) #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 (+ (* (sin (* (/ x y) 1/2)) (cos (/ (PI) 2))) (* (cos (* (/ x y) 1/2)) (sin (/ (PI) 2)))) #s(hole binary64 (sin (* 1/2 (PI)))))
#s(approx (+ (* (sin (* (/ x y) 1/2)) (cos (/ (PI) 2))) (* (cos (* (/ x y) 1/2)) (sin (/ (PI) 2)))) #s(hole binary64 (+ (sin (* 1/2 (PI))) (* 1/2 (/ (* x (cos (* 1/2 (PI)))) y)))))
#s(approx (+ (* (sin (* (/ x y) 1/2)) (cos (/ (PI) 2))) (* (cos (* (/ x y) 1/2)) (sin (/ (PI) 2)))) #s(hole binary64 (+ (sin (* 1/2 (PI))) (* x (+ (* -1/8 (/ (* x (sin (* 1/2 (PI)))) (pow y 2))) (* 1/2 (/ (cos (* 1/2 (PI))) y)))))))
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#s(approx (sin (* (/ x y) 1/2)) #s(hole binary64 (* x (+ (* -1/48 (/ (pow x 2) (pow y 3))) (* 1/2 (/ 1 y))))))
#s(approx (sin (* (/ x y) 1/2)) #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))))))
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#s(approx (* (/ x y) 1/2) #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 (* (cos (* (/ x y) 1/2)) (sin (/ (PI) 2))) #s(hole binary64 (sin (* 1/2 (PI)))))
#s(approx (* (cos (* (/ x y) 1/2)) (sin (/ (PI) 2))) #s(hole binary64 (+ (sin (* 1/2 (PI))) (* -1/8 (/ (* (pow x 2) (sin (* 1/2 (PI)))) (pow y 2))))))
#s(approx (* (cos (* (/ x y) 1/2)) (sin (/ (PI) 2))) #s(hole binary64 (+ (sin (* 1/2 (PI))) (* (pow x 2) (+ (* -1/8 (/ (sin (* 1/2 (PI))) (pow y 2))) (* 1/384 (/ (* (pow x 2) (sin (* 1/2 (PI)))) (pow y 4))))))))
#s(approx (* (cos (* (/ x y) 1/2)) (sin (/ (PI) 2))) #s(hole binary64 (+ (sin (* 1/2 (PI))) (* (pow x 2) (+ (* -1/8 (/ (sin (* 1/2 (PI))) (pow y 2))) (* (pow x 2) (+ (* -1/46080 (/ (* (pow x 2) (sin (* 1/2 (PI)))) (pow y 6))) (* 1/384 (/ (sin (* 1/2 (PI))) (pow y 4))))))))))
#s(approx (cos (* (/ x y) 1/2)) #s(hole binary64 1))
#s(approx (cos (* (/ x y) 1/2)) #s(hole binary64 (+ 1 (* -1/8 (/ (pow x 2) (pow y 2))))))
#s(approx (cos (* (/ x y) 1/2)) #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) 1/2)) #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 (/ (/ (sin (/ (/ x y) 2)) (cos (/ (/ x y) 2))) (sin (/ x (* y 2)))) #s(hole binary64 1))
#s(approx (/ (/ (sin (/ (/ x y) 2)) (cos (/ (/ 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 (/ (/ (sin (/ (/ x y) 2)) (cos (/ (/ 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 (/ (- 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)))))
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#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)))))
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#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))))
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#s(approx (/ (sin (/ x (* 2 y))) (/ (- (cos (- (/ (/ x y) 2) (+ (/ (/ x y) 2) (/ (PI) 2)))) (cos (+ (/ (/ x y) 2) (+ (/ (/ x y) 2) (/ (PI) 2))))) 2)) #s(hole binary64 (* x (+ (* -1 (/ (* x (sin (* 1/2 (PI)))) (* (pow y 2) (pow (- (cos (neg (* 1/2 (PI)))) (cos (* 1/2 (PI)))) 2)))) (/ 1 (* y (- (cos (neg (* 1/2 (PI)))) (cos (* 1/2 (PI))))))))))
#s(approx (/ (sin (/ x (* 2 y))) (/ (- (cos (- (/ (/ x y) 2) (+ (/ (/ x y) 2) (/ (PI) 2)))) (cos (+ (/ (/ x y) 2) (+ (/ (/ x y) 2) (/ (PI) 2))))) 2)) #s(hole binary64 (* x (+ (* x (+ (* -2 (* x (+ (* -1/2 (/ (pow (sin (* 1/2 (PI))) 2) (* (pow y 3) (pow (- (cos (neg (* 1/2 (PI)))) (cos (* 1/2 (PI)))) 3)))) (+ (* 1/48 (/ 1 (* (pow y 3) (- (cos (neg (* 1/2 (PI)))) (cos (* 1/2 (PI))))))) (* 1/4 (/ (cos (* 1/2 (PI))) (* (pow y 3) (pow (- (cos (neg (* 1/2 (PI)))) (cos (* 1/2 (PI)))) 2)))))))) (* -1 (/ (sin (* 1/2 (PI))) (* (pow y 2) (pow (- (cos (neg (* 1/2 (PI)))) (cos (* 1/2 (PI)))) 2)))))) (/ 1 (* y (- (cos (neg (* 1/2 (PI)))) (cos (* 1/2 (PI))))))))))
#s(approx (/ (sin (/ x (* 2 y))) (/ (- (cos (- (/ (/ x y) 2) (+ (/ (/ x y) 2) (/ (PI) 2)))) (cos (+ (/ (/ x y) 2) (+ (/ (/ x y) 2) (/ (PI) 2))))) 2)) #s(hole binary64 (* x (+ (* x (+ (* -1 (/ (sin (* 1/2 (PI))) (* (pow y 2) (pow (- (cos (neg (* 1/2 (PI)))) (cos (* 1/2 (PI)))) 2)))) (* x (+ (* -2 (* x (+ (* -1 (/ (* (sin (* 1/2 (PI))) (+ (* -1/2 (/ (pow (sin (* 1/2 (PI))) 2) (* (pow y 3) (pow (- (cos (neg (* 1/2 (PI)))) (cos (* 1/2 (PI)))) 3)))) (+ (* 1/48 (/ 1 (* (pow y 3) (- (cos (neg (* 1/2 (PI)))) (cos (* 1/2 (PI))))))) (* 1/4 (/ (cos (* 1/2 (PI))) (* (pow y 3) (pow (- (cos (neg (* 1/2 (PI)))) (cos (* 1/2 (PI)))) 2))))))) (* y (- (cos (neg (* 1/2 (PI)))) (cos (* 1/2 (PI))))))) (+ (* -1/4 (/ (* (cos (* 1/2 (PI))) (sin (* 1/2 (PI)))) (* (pow y 4) (pow (- (cos (neg (* 1/2 (PI)))) (cos (* 1/2 (PI)))) 3)))) (* -1/12 (/ (sin (* 1/2 (PI))) (* (pow y 4) (pow (- (cos (neg (* 1/2 (PI)))) (cos (* 1/2 (PI)))) 2)))))))) (* -2 (+ (* -1/2 (/ (pow (sin (* 1/2 (PI))) 2) (* (pow y 3) (pow (- (cos (neg (* 1/2 (PI)))) (cos (* 1/2 (PI)))) 3)))) (+ (* 1/48 (/ 1 (* (pow y 3) (- (cos (neg (* 1/2 (PI)))) (cos (* 1/2 (PI))))))) (* 1/4 (/ (cos (* 1/2 (PI))) (* (pow y 3) (pow (- (cos (neg (* 1/2 (PI)))) (cos (* 1/2 (PI)))) 2))))))))))) (/ 1 (* y (- (cos (neg (* 1/2 (PI)))) (cos (* 1/2 (PI))))))))))
#s(approx (sin (/ x (* 2 y))) #s(hole binary64 (* 1/2 (/ x y))))
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#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 (/ x (* 2 y)) #s(hole binary64 (* 1/2 (/ x y))))
#s(approx (/ (- (cos (- (/ (/ x y) 2) (+ (/ (/ x y) 2) (/ (PI) 2)))) (cos (+ (/ (/ x y) 2) (+ (/ (/ x y) 2) (/ (PI) 2))))) 2) #s(hole binary64 (* 1/2 (- (cos (neg (* 1/2 (PI)))) (cos (* 1/2 (PI)))))))
#s(approx (/ (- (cos (- (/ (/ x y) 2) (+ (/ (/ x y) 2) (/ (PI) 2)))) (cos (+ (/ (/ x y) 2) (+ (/ (/ x y) 2) (/ (PI) 2))))) 2) #s(hole binary64 (+ (* 1/2 (- (cos (neg (* 1/2 (PI)))) (cos (* 1/2 (PI))))) (* 1/2 (/ (* x (sin (* 1/2 (PI)))) y)))))
#s(approx (/ (- (cos (- (/ (/ x y) 2) (+ (/ (/ x y) 2) (/ (PI) 2)))) (cos (+ (/ (/ x y) 2) (+ (/ (/ x y) 2) (/ (PI) 2))))) 2) #s(hole binary64 (+ (* 1/2 (- (cos (neg (* 1/2 (PI)))) (cos (* 1/2 (PI))))) (* x (+ (* 1/4 (/ (* x (cos (* 1/2 (PI)))) (pow y 2))) (* 1/2 (/ (sin (* 1/2 (PI))) y)))))))
#s(approx (/ (- (cos (- (/ (/ x y) 2) (+ (/ (/ x y) 2) (/ (PI) 2)))) (cos (+ (/ (/ x y) 2) (+ (/ (/ x y) 2) (/ (PI) 2))))) 2) #s(hole binary64 (+ (* 1/2 (- (cos (neg (* 1/2 (PI)))) (cos (* 1/2 (PI))))) (* x (+ (* 1/2 (/ (sin (* 1/2 (PI))) y)) (* x (+ (* -1/12 (/ (* x (sin (* 1/2 (PI)))) (pow y 3))) (* 1/4 (/ (cos (* 1/2 (PI))) (pow y 2))))))))))
#s(approx (- (cos (- (/ (/ x y) 2) (+ (/ (/ x y) 2) (/ (PI) 2)))) (cos (+ (/ (/ x y) 2) (+ (/ (/ x y) 2) (/ (PI) 2))))) #s(hole binary64 (- (cos (neg (* 1/2 (PI)))) (cos (* 1/2 (PI))))))
#s(approx (- (cos (- (/ (/ x y) 2) (+ (/ (/ x y) 2) (/ (PI) 2)))) (cos (+ (/ (/ x y) 2) (+ (/ (/ x y) 2) (/ (PI) 2))))) #s(hole binary64 (- (+ (cos (neg (* 1/2 (PI)))) (/ (* x (sin (* 1/2 (PI)))) y)) (cos (* 1/2 (PI))))))
#s(approx (- (cos (- (/ (/ x y) 2) (+ (/ (/ x y) 2) (/ (PI) 2)))) (cos (+ (/ (/ x y) 2) (+ (/ (/ x y) 2) (/ (PI) 2))))) #s(hole binary64 (- (+ (cos (neg (* 1/2 (PI)))) (* x (+ (* 1/2 (/ (* x (cos (* 1/2 (PI)))) (pow y 2))) (/ (sin (* 1/2 (PI))) y)))) (cos (* 1/2 (PI))))))
#s(approx (- (cos (- (/ (/ x y) 2) (+ (/ (/ x y) 2) (/ (PI) 2)))) (cos (+ (/ (/ x y) 2) (+ (/ (/ x y) 2) (/ (PI) 2))))) #s(hole binary64 (- (+ (cos (neg (* 1/2 (PI)))) (* x (+ (* x (- (* -1/6 (/ (* x (sin (* 1/2 (PI)))) (pow y 3))) (* -1/2 (/ (cos (* 1/2 (PI))) (pow y 2))))) (/ (sin (* 1/2 (PI))) y)))) (cos (* 1/2 (PI))))))
#s(approx (cos (- (/ (/ x y) 2) (+ (/ (/ x y) 2) (/ (PI) 2)))) #s(hole binary64 (cos (neg (* 1/2 (PI))))))
#s(approx (- (/ (/ x y) 2) (+ (/ (/ x y) 2) (/ (PI) 2))) #s(hole binary64 (* -1/2 (PI))))
#s(approx (/ (/ x y) 2) #s(hole binary64 (* 1/2 (/ x y))))
#s(approx (+ (/ (/ x y) 2) (/ (PI) 2)) #s(hole binary64 (* 1/2 (PI))))
#s(approx (+ (/ (/ x y) 2) (/ (PI) 2)) #s(hole binary64 (+ (* 1/2 (PI)) (* 1/2 (/ x y)))))
#s(approx (cos (+ (/ (/ x y) 2) (+ (/ (/ x y) 2) (/ (PI) 2)))) #s(hole binary64 (cos (* 1/2 (PI)))))
#s(approx (cos (+ (/ (/ x y) 2) (+ (/ (/ x y) 2) (/ (PI) 2)))) #s(hole binary64 (+ (cos (* 1/2 (PI))) (* -1 (/ (* x (sin (* 1/2 (PI)))) y)))))
#s(approx (cos (+ (/ (/ x y) 2) (+ (/ (/ x y) 2) (/ (PI) 2)))) #s(hole binary64 (+ (cos (* 1/2 (PI))) (* x (- (* -1/2 (/ (* x (cos (* 1/2 (PI)))) (pow y 2))) (/ (sin (* 1/2 (PI))) y))))))
#s(approx (cos (+ (/ (/ x y) 2) (+ (/ (/ x y) 2) (/ (PI) 2)))) #s(hole binary64 (+ (cos (* 1/2 (PI))) (* x (- (* x (+ (* -1/2 (/ (cos (* 1/2 (PI))) (pow y 2))) (* 1/6 (/ (* x (sin (* 1/2 (PI)))) (pow y 3))))) (/ (sin (* 1/2 (PI))) y))))))
#s(approx (+ (/ (/ x y) 2) (+ (/ (/ x y) 2) (/ (PI) 2))) #s(hole binary64 (* 1/2 (PI))))
#s(approx (+ (/ (/ x y) 2) (+ (/ (/ x y) 2) (/ (PI) 2))) #s(hole binary64 (+ (* 1/2 (PI)) (/ x y))))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(hole binary64 (/ 1 (cos (* 1/2 (/ x y))))))
#s(approx (pow (+ (* (sin (* (/ x y) 1/2)) (cos (/ (PI) 2))) (* (cos (* (/ x y) 1/2)) (sin (/ (PI) 2)))) -1) #s(hole binary64 (/ 1 (+ (* (cos (* 1/2 (PI))) (sin (* 1/2 (/ x y)))) (* (cos (* 1/2 (/ x y))) (sin (* 1/2 (PI))))))))
#s(approx (+ (* (sin (* (/ x y) 1/2)) (cos (/ (PI) 2))) (* (cos (* (/ x y) 1/2)) (sin (/ (PI) 2)))) #s(hole binary64 (+ (* (cos (* 1/2 (PI))) (sin (* 1/2 (/ x y)))) (* (cos (* 1/2 (/ x y))) (sin (* 1/2 (PI)))))))
#s(approx (sin (* (/ x y) 1/2)) #s(hole binary64 (sin (* 1/2 (/ x y)))))
#s(approx (* (cos (* (/ x y) 1/2)) (sin (/ (PI) 2))) #s(hole binary64 (* (cos (* 1/2 (/ x y))) (sin (* 1/2 (PI))))))
#s(approx (cos (* (/ x y) 1/2)) #s(hole binary64 (cos (* 1/2 (/ x y)))))
#s(approx (/ (/ (sin (/ (/ x y) 2)) (cos (/ (/ x y) 2))) (sin (/ x (* y 2)))) #s(hole binary64 (/ 1 (cos (* 1/2 (/ x y))))))
#s(approx (+ (* (* (/ x y) (/ x y)) 1/8) 1) #s(hole binary64 (* 1/8 (/ (pow x 2) (pow y 2)))))
#s(approx (+ (* (* (/ x y) (/ x y)) 1/8) 1) #s(hole binary64 (* (pow x 2) (+ (/ 1 (pow x 2)) (* 1/8 (/ 1 (pow y 2)))))))
#s(approx (pow (/ 1 (sqrt (cos (* (/ x y) 1/2)))) 2) #s(hole binary64 (/ 1 (cos (* 1/2 (/ x y))))))
#s(approx (/ 1 (sqrt (cos (* (/ x y) 1/2)))) #s(hole binary64 (sqrt (/ 1 (cos (* 1/2 (/ x y)))))))
#s(approx (sqrt (cos (* (/ x y) 1/2))) #s(hole binary64 (sqrt (cos (* 1/2 (/ x y))))))
#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 (sin (/ x (* y 2))) #s(hole binary64 (sin (* 1/2 (/ x y)))))
#s(approx (/ (sin (/ x (* 2 y))) (/ (- (cos (- (/ (/ x y) 2) (+ (/ (/ x y) 2) (/ (PI) 2)))) (cos (+ (/ (/ x y) 2) (+ (/ (/ x y) 2) (/ (PI) 2))))) 2)) #s(hole binary64 (* 2 (/ (sin (* 1/2 (/ x y))) (- (cos (neg (* 1/2 (PI)))) (cos (+ (* 1/2 (PI)) (/ x y))))))))
#s(approx (sin (/ x (* 2 y))) #s(hole binary64 (sin (* 1/2 (/ x y)))))
#s(approx (/ (- (cos (- (/ (/ x y) 2) (+ (/ (/ x y) 2) (/ (PI) 2)))) (cos (+ (/ (/ x y) 2) (+ (/ (/ x y) 2) (/ (PI) 2))))) 2) #s(hole binary64 (* 1/2 (- (cos (neg (* 1/2 (PI)))) (cos (+ (* 1/2 (PI)) (/ x y)))))))
#s(approx (- (cos (- (/ (/ x y) 2) (+ (/ (/ x y) 2) (/ (PI) 2)))) (cos (+ (/ (/ x y) 2) (+ (/ (/ x y) 2) (/ (PI) 2))))) #s(hole binary64 (- (cos (neg (* 1/2 (PI)))) (cos (+ (* 1/2 (PI)) (/ x y))))))
#s(approx (+ (/ (/ x y) 2) (/ (PI) 2)) #s(hole binary64 (* 1/2 (/ x y))))
#s(approx (+ (/ (/ x y) 2) (/ (PI) 2)) #s(hole binary64 (* x (+ (* 1/2 (/ (PI) x)) (* 1/2 (/ 1 y))))))
#s(approx (cos (+ (/ (/ x y) 2) (+ (/ (/ x y) 2) (/ (PI) 2)))) #s(hole binary64 (cos (+ (* 1/2 (PI)) (/ x y)))))
#s(approx (+ (/ (/ x y) 2) (+ (/ (/ x y) 2) (/ (PI) 2))) #s(hole binary64 (/ x y)))
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#s(approx (/ (sin (/ x (* 2 y))) (/ (- (cos (- (/ (/ x y) 2) (+ (/ (/ x y) 2) (/ (PI) 2)))) (cos (+ (/ (/ x y) 2) (+ (/ (/ x y) 2) (/ (PI) 2))))) 2)) #s(hole binary64 (* 2 (/ (sin (* 1/2 (/ x y))) (- (cos (neg (* 1/2 (PI)))) (cos (- (* 1/2 (PI)) (* -1 (/ x y)))))))))
#s(approx (/ (- (cos (- (/ (/ x y) 2) (+ (/ (/ x y) 2) (/ (PI) 2)))) (cos (+ (/ (/ x y) 2) (+ (/ (/ x y) 2) (/ (PI) 2))))) 2) #s(hole binary64 (* 1/2 (- (cos (neg (* 1/2 (PI)))) (cos (- (* 1/2 (PI)) (* -1 (/ x y))))))))
#s(approx (- (cos (- (/ (/ x y) 2) (+ (/ (/ x y) 2) (/ (PI) 2)))) (cos (+ (/ (/ x y) 2) (+ (/ (/ x y) 2) (/ (PI) 2))))) #s(hole binary64 (- (cos (neg (* 1/2 (PI)))) (cos (- (* 1/2 (PI)) (* -1 (/ x y)))))))
#s(approx (+ (/ (/ x y) 2) (/ (PI) 2)) #s(hole binary64 (* -1 (* x (- (* -1/2 (/ (PI) x)) (* 1/2 (/ 1 y)))))))
#s(approx (cos (+ (/ (/ x y) 2) (+ (/ (/ x y) 2) (/ (PI) 2)))) #s(hole binary64 (cos (- (* 1/2 (PI)) (* -1 (/ x y))))))
#s(approx (+ (/ (/ x y) 2) (+ (/ (/ x y) 2) (/ (PI) 2))) #s(hole binary64 (* -1 (* x (- (* -1/2 (/ (PI) x)) (/ 1 y))))))
#s(approx y #s(hole binary64 y))
#s(approx (+ (* (* (/ x y) (/ x y)) 1/8) 1) #s(hole binary64 (/ (+ (* 1/8 (pow x 2)) (pow y 2)) (pow y 2))))
#s(approx (* y 2) #s(hole binary64 (* 2 y)))
#s(approx (* 2 y) #s(hole binary64 (* 2 y)))
#s(approx (+ (/ (/ x y) 2) (/ (PI) 2)) #s(hole binary64 (/ (+ (* 1/2 x) (* 1/2 (* y (PI)))) y)))
#s(approx (+ (/ (/ x y) 2) (+ (/ (/ x y) 2) (/ (PI) 2))) #s(hole binary64 (/ (+ x (* 1/2 (* y (PI)))) y)))
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#s(approx (+ (* (sin (* (/ x y) 1/2)) (cos (/ (PI) 2))) (* (cos (* (/ x y) 1/2)) (sin (/ (PI) 2)))) #s(hole binary64 (+ (sin (* 1/2 (PI))) (* -1 (/ (+ (* -1/2 (* x (cos (* 1/2 (PI))))) (* 1/8 (/ (* (pow x 2) (sin (* 1/2 (PI)))) y))) y)))))
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#s(approx (sin (* (/ x y) 1/2)) #s(hole binary64 (* -1 (/ (+ (* -1/2 x) (* 1/48 (/ (pow x 3) (pow y 2)))) y))))
#s(approx (sin (* (/ x y) 1/2)) #s(hole binary64 (* -1 (/ (+ (* -1/2 x) (+ (* -1/3840 (/ (pow x 5) (pow y 4))) (* 1/48 (/ (pow x 3) (pow y 2))))) y))))
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#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))))
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#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))))
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#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 (/ (sin (/ x (* 2 y))) (/ (- (cos (- (/ (/ x y) 2) (+ (/ (/ x y) 2) (/ (PI) 2)))) (cos (+ (/ (/ x y) 2) (+ (/ (/ x y) 2) (/ (PI) 2))))) 2)) #s(hole binary64 (* -1 (/ (+ (* -1 (/ x (- (cos (neg (* 1/2 (PI)))) (cos (* 1/2 (PI)))))) (/ (* (pow x 2) (sin (* 1/2 (PI)))) (* y (pow (- (cos (neg (* 1/2 (PI)))) (cos (* 1/2 (PI)))) 2)))) y))))
#s(approx (/ (sin (/ x (* 2 y))) (/ (- (cos (- (/ (/ x y) 2) (+ (/ (/ x y) 2) (/ (PI) 2)))) (cos (+ (/ (/ x y) 2) (+ (/ (/ x y) 2) (/ (PI) 2))))) 2)) #s(hole binary64 (* -1 (/ (+ (* -1 (/ x (- (cos (neg (* 1/2 (PI)))) (cos (* 1/2 (PI)))))) (* -1 (/ (+ (* -2 (/ (- (* 1/48 (/ (pow x 3) (- (cos (neg (* 1/2 (PI)))) (cos (* 1/2 (PI)))))) (+ (* -1/4 (/ (* (pow x 3) (cos (* 1/2 (PI)))) (pow (- (cos (neg (* 1/2 (PI)))) (cos (* 1/2 (PI)))) 2))) (* 1/2 (/ (* (pow x 3) (pow (sin (* 1/2 (PI))) 2)) (pow (- (cos (neg (* 1/2 (PI)))) (cos (* 1/2 (PI)))) 3))))) y)) (* -1 (/ (* (pow x 2) (sin (* 1/2 (PI)))) (pow (- (cos (neg (* 1/2 (PI)))) (cos (* 1/2 (PI)))) 2)))) y))) y))))
#s(approx (/ (sin (/ x (* 2 y))) (/ (- (cos (- (/ (/ x y) 2) (+ (/ (/ x y) 2) (/ (PI) 2)))) (cos (+ (/ (/ x y) 2) (+ (/ (/ x y) 2) (/ (PI) 2))))) 2)) #s(hole binary64 (* -1 (/ (+ (* -1 (/ x (- (cos (neg (* 1/2 (PI)))) (cos (* 1/2 (PI)))))) (* -1 (/ (+ (* -1 (/ (* (pow x 2) (sin (* 1/2 (PI)))) (pow (- (cos (neg (* 1/2 (PI)))) (cos (* 1/2 (PI)))) 2))) (* -1 (/ (+ (* 2 (- (* 1/48 (/ (pow x 3) (- (cos (neg (* 1/2 (PI)))) (cos (* 1/2 (PI)))))) (+ (* -1/4 (/ (* (pow x 3) (cos (* 1/2 (PI)))) (pow (- (cos (neg (* 1/2 (PI)))) (cos (* 1/2 (PI)))) 2))) (* 1/2 (/ (* (pow x 3) (pow (sin (* 1/2 (PI))) 2)) (pow (- (cos (neg (* 1/2 (PI)))) (cos (* 1/2 (PI)))) 3)))))) (* 2 (/ (+ (* -1 (/ (* x (* (sin (* 1/2 (PI))) (- (* 1/48 (/ (pow x 3) (- (cos (neg (* 1/2 (PI)))) (cos (* 1/2 (PI)))))) (+ (* -1/4 (/ (* (pow x 3) (cos (* 1/2 (PI)))) (pow (- (cos (neg (* 1/2 (PI)))) (cos (* 1/2 (PI)))) 2))) (* 1/2 (/ (* (pow x 3) (pow (sin (* 1/2 (PI))) 2)) (pow (- (cos (neg (* 1/2 (PI)))) (cos (* 1/2 (PI)))) 3))))))) (- (cos (neg (* 1/2 (PI)))) (cos (* 1/2 (PI)))))) (+ (* -1/4 (/ (* (pow x 4) (* (cos (* 1/2 (PI))) (sin (* 1/2 (PI))))) (pow (- (cos (neg (* 1/2 (PI)))) (cos (* 1/2 (PI)))) 3))) (* -1/12 (/ (* (pow x 4) (sin (* 1/2 (PI)))) (pow (- (cos (neg (* 1/2 (PI)))) (cos (* 1/2 (PI)))) 2))))) y))) y))) y))) y))))
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#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))))
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#s(approx (/ (- (cos (- (/ (/ x y) 2) (+ (/ (/ x y) 2) (/ (PI) 2)))) (cos (+ (/ (/ x y) 2) (+ (/ (/ x y) 2) (/ (PI) 2))))) 2) #s(hole binary64 (+ (* -1 (/ (+ (* -1/2 (* x (sin (* 1/2 (PI))))) (* -1/4 (/ (* (pow x 2) (cos (* 1/2 (PI)))) y))) y)) (* 1/2 (- (cos (neg (* 1/2 (PI)))) (cos (* 1/2 (PI))))))))
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Outputs
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#s(approx (sin (* (/ x y) 1/2)) (.f64 x (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 #s(literal -1/645120 binary64) (/.f64 (.f64 x x) (pow.f64 y #s(literal 7 binary64))) (.f64 #s(literal 1/3840 binary64) (pow.f64 y #s(literal -5 binary64)))) (.f64 #s(literal -1/48 binary64) (pow.f64 y #s(literal -3 binary64)))) (/.f64 #s(literal 1/2 binary64) y))))
#s(approx (* (/ x y) 1/2) (*.f64 #s(literal 1/2 binary64) (/.f64 x y)))
#s(approx (/ x y) (/.f64 x y))
#s(approx x x)
#s(approx (* (cos (* (/ x y) 1/2)) (sin (/ (PI) 2))) (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))))
#s(approx (* (cos (* (/ x y) 1/2)) (sin (/ (PI) 2))) (+.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) (PI.f64))) (.f64 #s(literal -1/8 binary64) (/.f64 (.f64 (.f64 x x) (sin.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)))) (.f64 y y)))))
#s(approx (* (cos (* (/ x y) 1/2)) (sin (/ (PI) 2))) (+.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) (PI.f64))) (.f64 (.f64 x x) (fma.f64 #s(literal -1/8 binary64) (/.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) (PI.f64))) (.f64 y y)) (.f64 #s(literal 1/384 binary64) (/.f64 (.f64 (.f64 x x) (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)))) (pow.f64 y #s(literal 4 binary64))))))))
#s(approx (* (cos (* (/ x y) 1/2)) (sin (/ (PI) 2))) (+.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) (PI.f64))) (.f64 (.f64 x x) (fma.f64 #s(literal -1/8 binary64) (/.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) (PI.f64))) (.f64 y y)) (.f64 (.f64 x x) (fma.f64 #s(literal -1/46080 binary64) (/.f64 (.f64 (.f64 x x) (sin.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)))) (pow.f64 y #s(literal 6 binary64))) (.f64 #s(literal 1/384 binary64) (/.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) (PI.f64))) (pow.f64 y #s(literal 4 binary64))))))))))
#s(approx (+ (* (sin (* (/ x y) 1/2)) (cos (/ (PI) 2))) (* (cos (* (/ x y) 1/2)) (sin (/ (PI) 2)))) #s(literal 1 binary64))
#s(approx (+ (* (sin (* (/ x y) 1/2)) (cos (/ (PI) 2))) (* (cos (* (/ x y) 1/2)) (sin (/ (PI) 2)))) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/8 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64)))))
#s(approx (+ (* (sin (* (/ x y) 1/2)) (cos (/ (PI) 2))) (* (cos (* (/ x y) 1/2)) (sin (/ (PI) 2)))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (fma.f64 #s(literal 1/384 binary64) (/.f64 (.f64 x x) (pow.f64 y #s(literal 4 binary64))) (.f64 #s(literal -1/8 binary64) (pow.f64 y #s(literal -2 binary64)))))))
#s(approx (+ (* (sin (* (/ x y) 1/2)) (cos (/ (PI) 2))) (* (cos (* (/ x y) 1/2)) (sin (/ (PI) 2)))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 #s(literal -1/46080 binary64) (/.f64 (.f64 x x) (pow.f64 y #s(literal 6 binary64))) (.f64 #s(literal 1/384 binary64) (pow.f64 y #s(literal -4 binary64)))) (.f64 #s(literal -1/8 binary64) (pow.f64 y #s(literal -2 binary64)))))))
#s(approx (/ (/ (- 1 (cos (/ x y))) (sin (/ x y))) (sin (/ x (* y 2)))) #s(literal 1 binary64))
#s(approx (/ (/ (- 1 (cos (/ x y))) (sin (/ x y))) (sin (/ x (* y 2)))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/8 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64)))))
#s(approx (/ (/ (- 1 (cos (/ x y))) (sin (/ x y))) (sin (/ x (* y 2)))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (fma.f64 #s(literal 5/384 binary64) (/.f64 (.f64 x x) (pow.f64 y #s(literal 4 binary64))) (.f64 #s(literal 1/8 binary64) (pow.f64 y #s(literal -2 binary64)))))))
#s(approx (/ (/ (- 1 (cos (/ x y))) (sin (/ x y))) (sin (/ x (* y 2)))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 #s(literal 61/46080 binary64) (/.f64 (.f64 x x) (pow.f64 y #s(literal 6 binary64))) (.f64 #s(literal 5/384 binary64) (pow.f64 y #s(literal -4 binary64)))) (.f64 #s(literal 1/8 binary64) (pow.f64 y #s(literal -2 binary64)))))))
#s(approx (+ (* (* (/ x y) (/ x y)) 1/8) 1) #s(literal 1 binary64))
#s(approx (+ (* (* (/ x y) (/ x y)) 1/8) 1) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/8 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64)))))
#s(approx (* (/ x y) (/ x y)) (pow.f64 (/.f64 x y) #s(literal 2 binary64)))
#s(approx (pow (/ 1 (sqrt (cos (* (/ x y) 1/2)))) 2) #s(literal 1 binary64))
#s(approx (pow (/ 1 (sqrt (cos (* (/ x y) 1/2)))) 2) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/8 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64)))))
#s(approx (pow (/ 1 (sqrt (cos (* (/ x y) 1/2)))) 2) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (fma.f64 #s(literal 5/384 binary64) (/.f64 (.f64 x x) (pow.f64 y #s(literal 4 binary64))) (.f64 #s(literal 1/8 binary64) (pow.f64 y #s(literal -2 binary64)))))))
#s(approx (pow (/ 1 (sqrt (cos (* (/ x y) 1/2)))) 2) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 #s(literal 61/46080 binary64) (/.f64 (.f64 x x) (pow.f64 y #s(literal 6 binary64))) (.f64 #s(literal 5/384 binary64) (pow.f64 y #s(literal -4 binary64)))) (.f64 #s(literal 1/8 binary64) (pow.f64 y #s(literal -2 binary64)))))))
#s(approx (/ 1 (sqrt (cos (* (/ x y) 1/2)))) #s(literal 1 binary64))
#s(approx (/ 1 (sqrt (cos (* (/ x y) 1/2)))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/16 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64)))))
#s(approx (/ 1 (sqrt (cos (* (/ x y) 1/2)))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (fma.f64 #s(literal 7/1536 binary64) (/.f64 (.f64 x x) (pow.f64 y #s(literal 4 binary64))) (.f64 #s(literal 1/16 binary64) (pow.f64 y #s(literal -2 binary64)))))))
#s(approx (/ 1 (sqrt (cos (* (/ x y) 1/2)))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 #s(literal 139/368640 binary64) (/.f64 (.f64 x x) (pow.f64 y #s(literal 6 binary64))) (.f64 #s(literal 7/1536 binary64) (pow.f64 y #s(literal -4 binary64)))) (.f64 #s(literal 1/16 binary64) (pow.f64 y #s(literal -2 binary64)))))))
#s(approx (sqrt (cos (* (/ x y) 1/2))) #s(literal 1 binary64))
#s(approx (sqrt (cos (* (/ x y) 1/2))) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/16 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64)))))
#s(approx (sqrt (cos (* (/ x y) 1/2))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (fma.f64 #s(literal -1/1536 binary64) (/.f64 (.f64 x x) (pow.f64 y #s(literal 4 binary64))) (.f64 #s(literal -1/16 binary64) (pow.f64 y #s(literal -2 binary64)))))))
#s(approx (sqrt (cos (* (/ x y) 1/2))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 #s(literal -19/368640 binary64) (/.f64 (.f64 x x) (pow.f64 y #s(literal 6 binary64))) (.f64 #s(literal -1/1536 binary64) (pow.f64 y #s(literal -4 binary64)))) (.f64 #s(literal -1/16 binary64) (pow.f64 y #s(literal -2 binary64)))))))
#s(approx (/ (/ (- 1 (cos (/ x y))) (sin (/ x y))) (sin (/ x (* y 2)))) #s(literal 1 binary64))
#s(approx (/ (/ (- 1 (cos (/ x y))) (sin (/ x y))) (sin (/ x (* y 2)))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/8 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64)))))
#s(approx (/ (/ (- 1 (cos (/ x y))) (sin (/ x y))) (sin (/ x (* y 2)))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (fma.f64 #s(literal 5/384 binary64) (/.f64 (.f64 x x) (pow.f64 y #s(literal 4 binary64))) (.f64 #s(literal 1/8 binary64) (pow.f64 y #s(literal -2 binary64)))))))
#s(approx (/ (/ (- 1 (cos (/ x y))) (sin (/ x y))) (sin (/ x (* y 2)))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 #s(literal 5/384 binary64) (pow.f64 y #s(literal -4 binary64)) (.f64 (.f64 x x) (.f64 (pow.f64 y #s(literal -6 binary64)) #s(literal 61/46080 binary64)))) (*.f64 #s(literal 1/8 binary64) (pow.f64 y #s(literal -2 binary64)))))))
#s(approx (/ (- 1 (cos (/ x y))) (sin (/ x y))) (*.f64 #s(literal 1/2 binary64) (/.f64 x y)))
#s(approx (/ (- 1 (cos (/ x y))) (sin (/ x y))) (.f64 x (fma.f64 #s(literal 1/24 binary64) (/.f64 (.f64 x x) (pow.f64 y #s(literal 3 binary64))) (/.f64 #s(literal 1/2 binary64) y))))
#s(approx (/ (- 1 (cos (/ x y))) (sin (/ x y))) (.f64 x (fma.f64 (.f64 x x) (fma.f64 #s(literal 1/240 binary64) (/.f64 (.f64 x x) (pow.f64 y #s(literal 5 binary64))) (.f64 #s(literal 1/24 binary64) (pow.f64 y #s(literal -3 binary64)))) (/.f64 #s(literal 1/2 binary64) y))))
#s(approx (/ (- 1 (cos (/ x y))) (sin (/ x y))) (.f64 x (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 #s(literal 17/40320 binary64) (/.f64 (.f64 x x) (pow.f64 y #s(literal 7 binary64))) (.f64 #s(literal 1/240 binary64) (pow.f64 y #s(literal -5 binary64)))) (.f64 #s(literal 1/24 binary64) (pow.f64 y #s(literal -3 binary64)))) (/.f64 #s(literal 1/2 binary64) y))))
#s(approx (- 1 (cos (/ x y))) (*.f64 #s(literal 1/2 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64))))
#s(approx (- 1 (cos (/ x y))) (.f64 (.f64 x x) (fma.f64 #s(literal -1/24 binary64) (/.f64 (.f64 x x) (pow.f64 y #s(literal 4 binary64))) (.f64 #s(literal 1/2 binary64) (pow.f64 y #s(literal -2 binary64))))))
#s(approx (- 1 (cos (/ x y))) (.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 #s(literal 1/720 binary64) (/.f64 (.f64 x x) (pow.f64 y #s(literal 6 binary64))) (.f64 #s(literal -1/24 binary64) (pow.f64 y #s(literal -4 binary64)))) (.f64 #s(literal 1/2 binary64) (pow.f64 y #s(literal -2 binary64))))))
#s(approx (- 1 (cos (/ x y))) (.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 #s(literal -1/40320 binary64) (/.f64 (.f64 x x) (pow.f64 y #s(literal 8 binary64))) (.f64 #s(literal 1/720 binary64) (pow.f64 y #s(literal -6 binary64)))) (.f64 #s(literal -1/24 binary64) (pow.f64 y #s(literal -4 binary64)))) (.f64 #s(literal 1/2 binary64) (pow.f64 y #s(literal -2 binary64))))))
#s(approx (cos (/ x y)) #s(literal 1 binary64))
#s(approx (cos (/ x y)) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64)))))
#s(approx (cos (/ x y)) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (fma.f64 #s(literal 1/24 binary64) (/.f64 (.f64 x x) (pow.f64 y #s(literal 4 binary64))) (.f64 #s(literal -1/2 binary64) (pow.f64 y #s(literal -2 binary64)))))))
#s(approx (cos (/ x y)) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 #s(literal -1/720 binary64) (/.f64 (.f64 x x) (pow.f64 y #s(literal 6 binary64))) (.f64 #s(literal 1/24 binary64) (pow.f64 y #s(literal -4 binary64)))) (.f64 #s(literal -1/2 binary64) (pow.f64 y #s(literal -2 binary64)))))))
#s(approx (sin (/ x y)) (/.f64 x y))
#s(approx (sin (/ x y)) (.f64 x (fma.f64 #s(literal -1/6 binary64) (/.f64 (.f64 x x) (pow.f64 y #s(literal 3 binary64))) (pow.f64 y #s(literal -1 binary64)))))
#s(approx (sin (/ x y)) (.f64 x (fma.f64 (.f64 x x) (fma.f64 #s(literal 1/120 binary64) (/.f64 (.f64 x x) (pow.f64 y #s(literal 5 binary64))) (.f64 #s(literal -1/6 binary64) (pow.f64 y #s(literal -3 binary64)))) (pow.f64 y #s(literal -1 binary64)))))
#s(approx (sin (/ x y)) (.f64 x (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 #s(literal -1/5040 binary64) (/.f64 (.f64 x x) (pow.f64 y #s(literal 7 binary64))) (.f64 #s(literal 1/120 binary64) (pow.f64 y #s(literal -5 binary64)))) (.f64 #s(literal -1/6 binary64) (pow.f64 y #s(literal -3 binary64)))) (pow.f64 y #s(literal -1 binary64)))))
#s(approx (sin (/ x (* y 2))) (*.f64 #s(literal 1/2 binary64) (/.f64 x y)))
#s(approx (sin (/ x (* y 2))) (.f64 x (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))))
#s(approx (sin (/ x (* y 2))) (.f64 x (fma.f64 (.f64 x x) (fma.f64 #s(literal 1/3840 binary64) (/.f64 (.f64 x x) (pow.f64 y #s(literal 5 binary64))) (.f64 #s(literal -1/48 binary64) (pow.f64 y #s(literal -3 binary64)))) (/.f64 #s(literal 1/2 binary64) y))))
#s(approx (sin (/ x (* y 2))) (.f64 x (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 #s(literal -1/645120 binary64) (/.f64 (.f64 x x) (pow.f64 y #s(literal 7 binary64))) (.f64 #s(literal 1/3840 binary64) (pow.f64 y #s(literal -5 binary64)))) (.f64 #s(literal -1/48 binary64) (pow.f64 y #s(literal -3 binary64)))) (/.f64 #s(literal 1/2 binary64) y))))
#s(approx (/ x (* y 2)) (*.f64 #s(literal 1/2 binary64) (/.f64 x y)))
#s(approx (/ (sin (/ x (* 2 y))) (/ (- (cos (- (/ (/ x y) 2) (+ (/ (/ x y) 2) (/ (PI) 2)))) (cos (+ (/ (/ x y) 2) (+ (/ (/ x y) 2) (/ (PI) 2))))) 2)) (/.f64 x (.f64 y (-.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) (PI.f64))) (cos.f64 (*.f64 #s(literal -1/2 binary64) (PI.f64)))))))
#s(approx (/ (sin (/ x (* 2 y))) (/ (- (cos (- (/ (/ x y) 2) (+ (/ (/ x y) 2) (/ (PI) 2)))) (cos (+ (/ (/ x y) 2) (+ (/ (/ x y) 2) (/ (PI) 2))))) 2)) (.f64 x (fma.f64 #s(literal -1 binary64) (/.f64 (.f64 x (sin.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)))) (pow.f64 (.f64 y (-.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) (PI.f64))) (cos.f64 (.f64 #s(literal -1/2 binary64) (PI.f64))))) #s(literal 2 binary64))) (pow.f64 (.f64 y (-.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) (PI.f64))) (cos.f64 (*.f64 #s(literal -1/2 binary64) (PI.f64))))) #s(literal -1 binary64)))))
#s(approx (/ (sin (/ x (* 2 y))) (/ (- (cos (- (/ (/ x y) 2) (+ (/ (/ x y) 2) (/ (PI) 2)))) (cos (+ (/ (/ x y) 2) (+ (/ (/ x y) 2) (/ (PI) 2))))) 2)) (.f64 x (fma.f64 x (fma.f64 (.f64 #s(literal -2 binary64) x) (fma.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) (PI.f64))) #s(literal 2 binary64)) (pow.f64 (.f64 y (-.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) (PI.f64))) (cos.f64 (.f64 #s(literal -1/2 binary64) (PI.f64))))) #s(literal 3 binary64))) (+.f64 (/.f64 #s(literal 1/48 binary64) (.f64 (pow.f64 y #s(literal 3 binary64)) (-.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) (PI.f64))) (cos.f64 (.f64 #s(literal -1/2 binary64) (PI.f64)))))) (/.f64 (.f64 #s(literal 1/4 binary64) (cos.f64 (.f64 #s(literal -1/2 binary64) (PI.f64)))) (.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (-.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) (PI.f64))) (cos.f64 (.f64 #s(literal -1/2 binary64) (PI.f64)))) #s(literal 2 binary64)))))) (neg.f64 (/.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) (PI.f64))) (pow.f64 (.f64 y (-.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) (PI.f64))) (cos.f64 (.f64 #s(literal -1/2 binary64) (PI.f64))))) #s(literal 2 binary64))))) (pow.f64 (.f64 y (-.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) (PI.f64))) (cos.f64 (*.f64 #s(literal -1/2 binary64) (PI.f64))))) #s(literal -1 binary64)))))
#s(approx (/ (sin (/ x (* 2 y))) (/ (- (cos (- (/ (/ x y) 2) (+ (/ (/ x y) 2) (/ (PI) 2)))) (cos (+ (/ (/ x y) 2) (+ (/ (/ x y) 2) (/ (PI) 2))))) 2)) (.f64 x (fma.f64 x (fma.f64 #s(literal -1 binary64) (/.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) (PI.f64))) (pow.f64 (.f64 y (-.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) (PI.f64))) (cos.f64 (.f64 #s(literal -1/2 binary64) (PI.f64))))) #s(literal 2 binary64))) (.f64 x (.f64 #s(literal -2 binary64) (fma.f64 x (fma.f64 #s(literal -1 binary64) (.f64 (/.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) (PI.f64))) y) (/.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) (PI.f64))) #s(literal 2 binary64)) (pow.f64 (.f64 y (-.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) (PI.f64))) (cos.f64 (.f64 #s(literal -1/2 binary64) (PI.f64))))) #s(literal 3 binary64))) (+.f64 (/.f64 #s(literal 1/48 binary64) (.f64 (pow.f64 y #s(literal 3 binary64)) (-.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) (PI.f64))) (cos.f64 (.f64 #s(literal -1/2 binary64) (PI.f64)))))) (/.f64 (.f64 #s(literal 1/4 binary64) (cos.f64 (.f64 #s(literal -1/2 binary64) (PI.f64)))) (.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (-.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) (PI.f64))) (cos.f64 (.f64 #s(literal -1/2 binary64) (PI.f64)))) #s(literal 2 binary64)))))) (-.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) (PI.f64))) (cos.f64 (.f64 #s(literal -1/2 binary64) (PI.f64)))))) (fma.f64 #s(literal -1/4 binary64) (.f64 (/.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) (PI.f64))) (pow.f64 y #s(literal 4 binary64))) (/.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) (PI.f64))) (pow.f64 (-.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) (PI.f64))) (cos.f64 (.f64 #s(literal -1/2 binary64) (PI.f64)))) #s(literal 3 binary64)))) (/.f64 (.f64 #s(literal -1/12 binary64) (sin.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)))) (.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (-.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) (PI.f64))) (cos.f64 (.f64 #s(literal -1/2 binary64) (PI.f64)))) #s(literal 2 binary64)))))) (fma.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) (PI.f64))) #s(literal 2 binary64)) (pow.f64 (.f64 y (-.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) (PI.f64))) (cos.f64 (.f64 #s(literal -1/2 binary64) (PI.f64))))) #s(literal 3 binary64))) (+.f64 (/.f64 #s(literal 1/48 binary64) (.f64 (pow.f64 y #s(literal 3 binary64)) (-.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) (PI.f64))) (cos.f64 (.f64 #s(literal -1/2 binary64) (PI.f64)))))) (/.f64 (.f64 #s(literal 1/4 binary64) (cos.f64 (.f64 #s(literal -1/2 binary64) (PI.f64)))) (.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (-.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) (PI.f64))) (cos.f64 (.f64 #s(literal -1/2 binary64) (PI.f64)))) #s(literal 2 binary64)))))))))) (pow.f64 (.f64 y (-.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) (PI.f64))) (cos.f64 (.f64 #s(literal -1/2 binary64) (PI.f64))))) #s(literal -1 binary64)))))
#s(approx (sin (/ x (* 2 y))) (*.f64 #s(literal 1/2 binary64) (/.f64 x y)))
#s(approx (sin (/ x (* 2 y))) (.f64 x (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))))
#s(approx (sin (/ x (* 2 y))) (.f64 x (fma.f64 (.f64 x x) (fma.f64 #s(literal 1/3840 binary64) (/.f64 (.f64 x x) (pow.f64 y #s(literal 5 binary64))) (.f64 #s(literal -1/48 binary64) (pow.f64 y #s(literal -3 binary64)))) (/.f64 #s(literal 1/2 binary64) y))))
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#s(approx (/ (- (cos (- (/ (/ x y) 2) (+ (/ (/ x y) 2) (/ (PI) 2)))) (cos (+ (/ (/ x y) 2) (+ (/ (/ x y) 2) (/ (PI) 2))))) 2) (fma.f64 #s(literal 1/2 binary64) (-.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) (PI.f64))) (cos.f64 (.f64 #s(literal -1/2 binary64) (PI.f64)))) (.f64 x (fma.f64 #s(literal 1/2 binary64) (/.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) (PI.f64))) y) (.f64 x (fma.f64 #s(literal -1/12 binary64) (/.f64 (.f64 x (sin.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)))) (pow.f64 y #s(literal 3 binary64))) (.f64 #s(literal 1/4 binary64) (/.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) (PI.f64))) (.f64 y y)))))))))
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#s(approx (cos (- (/ (/ x y) 2) (+ (/ (/ x y) 2) (/ (PI) 2)))) (cos.f64 (*.f64 #s(literal -1/2 binary64) (PI.f64))))
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#s(approx (/ (/ x y) 2) (*.f64 #s(literal 1/2 binary64) (/.f64 x y)))
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#s(approx (+ (/ (/ x y) 2) (/ (PI) 2)) (*.f64 #s(literal 1/2 binary64) (+.f64 (PI.f64) (/.f64 x y))))
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#s(approx (cos (+ (/ (/ x y) 2) (+ (/ (/ x y) 2) (/ (PI) 2)))) (+.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) (PI.f64))) (.f64 x (-.f64 (/.f64 (.f64 (.f64 #s(literal -1/2 binary64) x) (cos.f64 (.f64 #s(literal -1/2 binary64) (PI.f64)))) (.f64 y y)) (/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) y)))))
#s(approx (cos (+ (/ (/ x y) 2) (+ (/ (/ x y) 2) (/ (PI) 2)))) (+.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) (PI.f64))) (.f64 x (-.f64 (.f64 x (fma.f64 #s(literal -1/2 binary64) (/.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) (PI.f64))) (.f64 y y)) (.f64 #s(literal 1/6 binary64) (/.f64 (.f64 x (sin.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)))) (pow.f64 y #s(literal 3 binary64)))))) (/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) y)))))
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#s(approx (sin (* (/ x y) 1/2)) (sin.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y))))
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#s(approx (/ (/ (- 1 (cos (/ x y))) (sin (/ x y))) (sin (/ x (* y 2)))) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y))) #s(literal -1 binary64)))
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#s(approx (pow (/ 1 (sqrt (cos (* (/ x y) 1/2)))) 2) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y))) #s(literal -1 binary64)))
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#s(approx (/ (- 1 (cos (/ x y))) (sin (/ x y))) (tan.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64))))
#s(approx (- 1 (cos (/ x y))) (-.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x y))))
#s(approx (cos (/ x y)) (cos.f64 (/.f64 x y)))
#s(approx (sin (/ x y)) (sin.f64 (/.f64 x y)))
#s(approx (sin (/ x (* y 2))) (sin.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y))))
#s(approx (/ (sin (/ x (* 2 y))) (/ (- (cos (- (/ (/ x y) 2) (+ (/ (/ x y) 2) (/ (PI) 2)))) (cos (+ (/ (/ x y) 2) (+ (/ (/ x y) 2) (/ (PI) 2))))) 2)) (.f64 #s(literal 2 binary64) (/.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) (/.f64 x y))) (-.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (PI.f64))) (cos.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (/.f64 x y)))))))
#s(approx (sin (/ x (* 2 y))) (sin.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y))))
#s(approx (/ (- (cos (- (/ (/ x y) 2) (+ (/ (/ x y) 2) (/ (PI) 2)))) (cos (+ (/ (/ x y) 2) (+ (/ (/ x y) 2) (/ (PI) 2))))) 2) (.f64 #s(literal 1/2 binary64) (-.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) (PI.f64))) (cos.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (/.f64 x y))))))
#s(approx (- (cos (- (/ (/ x y) 2) (+ (/ (/ x y) 2) (/ (PI) 2)))) (cos (+ (/ (/ x y) 2) (+ (/ (/ x y) 2) (/ (PI) 2))))) (-.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (PI.f64))) (cos.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (/.f64 x y)))))
#s(approx (+ (/ (/ x y) 2) (/ (PI) 2)) (*.f64 #s(literal 1/2 binary64) (/.f64 x y)))
#s(approx (+ (/ (/ x y) 2) (/ (PI) 2)) (*.f64 x (fma.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) x) (/.f64 #s(literal 1/2 binary64) y))))
#s(approx (cos (+ (/ (/ x y) 2) (+ (/ (/ x y) 2) (/ (PI) 2)))) (cos.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (/.f64 x y))))
#s(approx (+ (/ (/ x y) 2) (+ (/ (/ x y) 2) (/ (PI) 2))) (/.f64 x y))
#s(approx (+ (/ (/ x y) 2) (+ (/ (/ x y) 2) (/ (PI) 2))) (*.f64 x (fma.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) x) (pow.f64 y #s(literal -1 binary64)))))
#s(approx (/ (sin (/ x (* 2 y))) (/ (- (cos (- (/ (/ x y) 2) (+ (/ (/ x y) 2) (/ (PI) 2)))) (cos (+ (/ (/ x y) 2) (+ (/ (/ x y) 2) (/ (PI) 2))))) 2)) (.f64 #s(literal 2 binary64) (/.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) (/.f64 x y))) (-.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) (PI.f64))) (cos.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (.f64 #s(literal 1 binary64) (/.f64 x y))))))))
#s(approx (/ (- (cos (- (/ (/ x y) 2) (+ (/ (/ x y) 2) (/ (PI) 2)))) (cos (+ (/ (/ x y) 2) (+ (/ (/ x y) 2) (/ (PI) 2))))) 2) (.f64 #s(literal 1/2 binary64) (-.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) (PI.f64))) (cos.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (*.f64 #s(literal 1 binary64) (/.f64 x y)))))))
#s(approx (- (cos (- (/ (/ x y) 2) (+ (/ (/ x y) 2) (/ (PI) 2)))) (cos (+ (/ (/ x y) 2) (+ (/ (/ x y) 2) (/ (PI) 2))))) (-.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) (PI.f64))) (cos.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (.f64 #s(literal 1 binary64) (/.f64 x y))))))
#s(approx (+ (/ (/ x y) 2) (/ (PI) 2)) (.f64 (neg.f64 x) (-.f64 (.f64 #s(literal -1/2 binary64) (/.f64 (PI.f64) x)) (/.f64 #s(literal 1/2 binary64) y))))
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#s(approx (+ (/ (/ x y) 2) (+ (/ (/ x y) 2) (/ (PI) 2))) (.f64 (neg.f64 x) (-.f64 (.f64 #s(literal -1/2 binary64) (/.f64 (PI.f64) x)) (pow.f64 y #s(literal -1 binary64)))))
#s(approx y y)
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#s(approx (* y 2) (*.f64 #s(literal 2 binary64) y))
#s(approx (* 2 y) (*.f64 #s(literal 2 binary64) y))
#s(approx (+ (/ (/ x y) 2) (/ (PI) 2)) (/.f64 (.f64 #s(literal 1/2 binary64) (+.f64 x (.f64 y (PI.f64)))) y))
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#s(approx (sin (/ x (* 2 y))) (neg.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) x (/.f64 (.f64 #s(literal 1/48 binary64) (pow.f64 x #s(literal 3 binary64))) (.f64 y y))) y)))
#s(approx (sin (/ x (* 2 y))) (neg.f64 (/.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))) (/.f64 (.f64 #s(literal 1/48 binary64) (pow.f64 x #s(literal 3 binary64))) (.f64 y y)))) y)))
#s(approx (sin (/ x (* 2 y))) (neg.f64 (/.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 #s(literal 1/645120 binary64) (/.f64 (pow.f64 x #s(literal 7 binary64)) (pow.f64 y #s(literal 6 binary64))) (/.f64 (.f64 #s(literal 1/48 binary64) (pow.f64 x #s(literal 3 binary64))) (.f64 y y))))) y)))
#s(approx (/ (- (cos (- (/ (/ x y) 2) (+ (/ (/ x y) 2) (/ (PI) 2)))) (cos (+ (/ (/ x y) 2) (+ (/ (/ x y) 2) (/ (PI) 2))))) 2) (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1/2 binary64) (.f64 x (sin.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)))) (.f64 #s(literal -1/4 binary64) (/.f64 (.f64 (.f64 x x) (cos.f64 (.f64 #s(literal -1/2 binary64) (PI.f64)))) y))) y) (.f64 #s(literal 1/2 binary64) (-.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) (PI.f64))) (cos.f64 (*.f64 #s(literal -1/2 binary64) (PI.f64)))))))
#s(approx (/ (- (cos (- (/ (/ x y) 2) (+ (/ (/ x y) 2) (/ (PI) 2)))) (cos (+ (/ (/ x y) 2) (+ (/ (/ x y) 2) (/ (PI) 2))))) 2) (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1/12 binary64) (/.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) (sin.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)))) y) (.f64 (.f64 #s(literal 1/4 binary64) (.f64 x x)) (cos.f64 (.f64 #s(literal -1/2 binary64) (PI.f64))))) y) (.f64 (.f64 #s(literal -1/2 binary64) x) (sin.f64 (.f64 #s(literal 1/2 binary64) (PI.f64))))) y) (.f64 #s(literal 1/2 binary64) (-.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) (PI.f64))) (cos.f64 (.f64 #s(literal -1/2 binary64) (PI.f64)))))))
#s(approx (- (cos (- (/ (/ x y) 2) (+ (/ (/ x y) 2) (/ (PI) 2)))) (cos (+ (/ (/ x y) 2) (+ (/ (/ x y) 2) (/ (PI) 2))))) (-.f64 (+.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) (PI.f64))) (neg.f64 (/.f64 (fma.f64 (neg.f64 x) (sin.f64 (.f64 #s(literal 1/2 binary64) (PI.f64))) (/.f64 (.f64 (.f64 #s(literal -1/2 binary64) (.f64 x x)) (cos.f64 (.f64 #s(literal -1/2 binary64) (PI.f64)))) y)) y))) (cos.f64 (*.f64 #s(literal -1/2 binary64) (PI.f64)))))
#s(approx (- (cos (- (/ (/ x y) 2) (+ (/ (/ x y) 2) (/ (PI) 2)))) (cos (+ (/ (/ x y) 2) (+ (/ (/ x y) 2) (/ (PI) 2))))) (-.f64 (+.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) (PI.f64))) (neg.f64 (/.f64 (.f64 #s(literal -1 binary64) (fma.f64 x (sin.f64 (.f64 #s(literal 1/2 binary64) (PI.f64))) (/.f64 (fma.f64 #s(literal -1/6 binary64) (/.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) (sin.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)))) y) (.f64 #s(literal 1/2 binary64) (.f64 (.f64 x x) (cos.f64 (.f64 #s(literal -1/2 binary64) (PI.f64)))))) y))) y))) (cos.f64 (.f64 #s(literal -1/2 binary64) (PI.f64)))))
#s(approx (cos (+ (/ (/ x y) 2) (+ (/ (/ x y) 2) (/ (PI) 2)))) (+.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) (PI.f64))) (neg.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (.f64 (.f64 x x) (cos.f64 (.f64 #s(literal -1/2 binary64) (PI.f64)))) y) (.f64 #s(literal 1 binary64) (.f64 x (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)))))) y))))
#s(approx (cos (+ (/ (/ x y) 2) (+ (/ (/ x y) 2) (/ (PI) 2)))) (+.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) (PI.f64))) (neg.f64 (/.f64 (.f64 #s(literal -1 binary64) (-.f64 (/.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) (.f64 x x)) (cos.f64 (.f64 #s(literal -1/2 binary64) (PI.f64))) (.f64 #s(literal 1/6 binary64) (/.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) (sin.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)))) y))) y) (.f64 x (sin.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)))))) y))))

eval116.0ms (2.6%)

Memory: -11.6MiB live, 135.4MiB allocated; 21ms collecting garbage
Compiler: Compiled 22 864 to 2 336 computations (89.8% saved)

prune61.0ms (1.4%)

Memory

24.5MiB live, 70.9MiB allocated; 4ms collecting garbage

Pruning

42 alts after pruning (36 fresh and 6 done)

	Pruned	Kept	Total
New	442	16	458
Fresh	1	20	21
Picked	3	2	5
Done	0	4	4
Total	446	42	488

Accuracy

61.5%

Counts

488 → 42

Alt Table

Click to see full alt table

Status	Accuracy	Program
	7.7%	(/.f64 (/.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)))) (sin.f64 (/.f64 x y))) (sin.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))))
	7.3%	(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (sin.f64 (+.f64 (/.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)))))
	8.0%	(/.f64 (/.f64 (+.f64 (tan.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64))) (tan.f64 (PI.f64))) (-.f64 #s(literal 1 binary64) (.f64 (tan.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64))) (tan.f64 (PI.f64))))) (sin.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))))
	43.2%	(/.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)))))
	42.2%	(/.f64 (/.f64 (neg.f64 (sin.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64)))) (cos.f64 (+.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64)) (PI.f64)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
	7.7%	(/.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)))))
	43.4%	(/.f64 (tan.f64 (/.f64 x (+.f64 y y))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
	43.5%	(/.f64 (sin.f64 (/.f64 x (+.f64 y y))) (.f64 (cos.f64 (/.f64 x (.f64 #s(literal 2 binary64) y))) (sin.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y)))))
	7.9%	(/.f64 (sin.f64 (/.f64 x (.f64 #s(literal 2 binary64) y))) (/.f64 (/.f64 (-.f64 (.f64 (cos.f64 (-.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64)) (/.f64 (+.f64 (/.f64 x y) (PI.f64)) #s(literal 2 binary64)))) (cos.f64 (-.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64)) (/.f64 (+.f64 (/.f64 x y) (PI.f64)) #s(literal 2 binary64))))) (*.f64 (cos.f64 (+.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64)) (/.f64 (+.f64 (/.f64 x y) (PI.f64)) #s(literal 2 binary64)))) (cos.f64 (+.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64)) (/.f64 (+.f64 (/.f64 x y) (PI.f64)) #s(literal 2 binary64)))))) (+.f64 (cos.f64 (-.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64)) (/.f64 (+.f64 (/.f64 x y) (PI.f64)) #s(literal 2 binary64)))) (cos.f64 (+.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64)) (/.f64 (+.f64 (/.f64 x y) (PI.f64)) #s(literal 2 binary64)))))) #s(literal 2 binary64)))
	8.8%	(/.f64 (sin.f64 (/.f64 x (.f64 #s(literal 2 binary64) y))) (/.f64 (-.f64 (fma.f64 (cos.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64))) (cos.f64 (/.f64 (+.f64 (/.f64 x y) (PI.f64)) #s(literal 2 binary64))) (.f64 (sin.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64))) (cos.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64))))) (cos.f64 (+.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64)) (+.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64)))))) #s(literal 2 binary64)))
	6.1%	(/.f64 (sin.f64 (/.f64 x (.f64 #s(literal 2 binary64) y))) (/.f64 (-.f64 (cos.f64 (/.f64 (-.f64 (.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64)) (/.f64 (/.f64 x y) #s(literal 2 binary64))) (*.f64 (/.f64 (+.f64 (/.f64 x y) (PI.f64)) #s(literal 2 binary64)) (/.f64 (+.f64 (/.f64 x y) (PI.f64)) #s(literal 2 binary64)))) (+.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64)) (/.f64 (+.f64 (/.f64 x y) (PI.f64)) #s(literal 2 binary64))))) (cos.f64 (+.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64)) (+.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64)))))) #s(literal 2 binary64)))
	8.8%	(/.f64 (sin.f64 (/.f64 x (.f64 #s(literal 2 binary64) y))) (/.f64 (-.f64 (cos.f64 (-.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64)) (+.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64))))) (-.f64 (.f64 (cos.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64))) (cos.f64 (/.f64 (+.f64 (/.f64 x y) (PI.f64)) #s(literal 2 binary64)))) (*.f64 (sin.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64))) (cos.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64)))))) #s(literal 2 binary64)))
	7.6%	(/.f64 (sin.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y))) (/.f64 (-.f64 (cos.f64 (-.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64)) (+.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64))))) (sin.f64 (+.f64 (+.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64)) (/.f64 (+.f64 (/.f64 x y) (PI.f64)) #s(literal 2 binary64))) (/.f64 (PI.f64) #s(literal 2 binary64))))) #s(literal 2 binary64)))
	7.9%	(/.f64 (sin.f64 (/.f64 x (.f64 #s(literal 2 binary64) y))) (/.f64 (-.f64 (cos.f64 (-.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64)) (+.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64))))) (cos.f64 (+.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64)) #s(approx (+ (/ (/ x y) 2) (/ (PI) 2)) (.f64 x (fma.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) x) (/.f64 #s(literal 1/2 binary64) y))))))) #s(literal 2 binary64)))
	5.2%	(/.f64 (sin.f64 (/.f64 x (.f64 #s(literal 2 binary64) y))) (/.f64 (-.f64 (cos.f64 (-.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64)) (+.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64))))) (cos.f64 (+.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64)) #s(approx (+ (/ (/ x y) 2) (/ (PI) 2)) (.f64 #s(literal 1/2 binary64) (PI.f64)))))) #s(literal 2 binary64)))
	4.9%	(/.f64 (sin.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y))) (/.f64 (-.f64 (cos.f64 (-.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64)) (+.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64))))) (cos.f64 #s(approx (+ (/ (/ x y) 2) (+ (/ (/ x y) 2) (/ (PI) 2))) (/.f64 x y)))) #s(literal 2 binary64)))
	4.8%	(/.f64 (sin.f64 (/.f64 x (.f64 #s(literal 2 binary64) y))) (/.f64 (-.f64 (cos.f64 (-.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64)) (+.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64))))) (cos.f64 #s(approx (+ (/ (/ x y) 2) (+ (/ (/ x y) 2) (/ (PI) 2))) (.f64 #s(literal 1/2 binary64) (PI.f64))))) #s(literal 2 binary64)))
	5.3%	(/.f64 (sin.f64 (/.f64 x (.f64 #s(literal 2 binary64) y))) (/.f64 (-.f64 (cos.f64 (-.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64)) #s(approx (+ (/ (/ x y) 2) (/ (PI) 2)) (.f64 #s(literal 1/2 binary64) (PI.f64))))) (cos.f64 (+.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64)) (+.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64)))))) #s(literal 2 binary64)))
	43.2%	(/.f64 (sin.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y))) (/.f64 (+.f64 (sin.f64 (-.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64)) (/.f64 (/.f64 x y) #s(literal 2 binary64)))) (sin.f64 (+.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64)) (/.f64 (/.f64 x y) #s(literal 2 binary64))))) #s(literal 2 binary64)))
	42.7%	(/.f64 (sin.f64 (/.f64 x (.f64 #s(literal 2 binary64) y))) (.f64 (sin.f64 (+.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64)))) (sin.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y)))))
	43.4%	(/.f64 (sin.f64 (/.f64 x (.f64 #s(literal 2 binary64) y))) (.f64 (sin.f64 (+.f64 (neg.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64))) (/.f64 (PI.f64) #s(literal 2 binary64)))) (sin.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y)))))
	7.8%	(/.f64 (sin.f64 (/.f64 x (.f64 #s(literal 2 binary64) y))) #s(approx (/ (- (cos (- (/ (/ x y) 2) (+ (/ (/ x y) 2) (/ (PI) 2)))) (cos (+ (/ (/ x y) 2) (+ (/ (/ x y) 2) (/ (PI) 2))))) 2) (.f64 #s(literal 1/2 binary64) (-.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (PI.f64))) (cos.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (/.f64 x y)))))))
	7.2%	#s(approx (/ (/ (- 1 (cos (/ x y))) (sin (/ x y))) (sin (/ x (* y 2)))) (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x y))) (.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) (/.f64 x y))) (sin.f64 (/.f64 x y)))))
✓	46.9%	#s(approx (/ (/ (sin (/ (/ x y) 2)) (cos (/ (/ x y) 2))) (sin (/ x (* y 2)))) (fma.f64 (/.f64 (.f64 x x) (.f64 y y)) #s(literal 1/8 binary64) #s(literal 1 binary64)))
✓	51.0%	#s(approx (/ (/ (sin (/ (/ x y) 2)) (cos (/ (/ x y) 2))) (sin (/ x (* y 2)))) (fma.f64 (*.f64 (/.f64 x y) (/.f64 x y)) #s(literal 1/8 binary64) #s(literal 1 binary64)))
	53.7%	#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (pow.f64 (pow.f64 (.f64 (cos.f64 (.f64 (/.f64 x y) #s(literal 1/2 binary64))) (cos.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64)))) #s(literal -1/4 binary64)) #s(literal 2 binary64)))
	51.8%	#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (pow.f64 (pow.f64 (sin.f64 (fma.f64 (/.f64 x y) #s(literal 1/2 binary64) (/.f64 (PI.f64) #s(literal 2 binary64)))) #s(literal -1/2 binary64)) #s(literal 2 binary64)))
	52.6%	#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (pow.f64 (pow.f64 (sin.f64 (+.f64 (neg.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64))) (/.f64 (PI.f64) #s(literal 2 binary64)))) #s(literal -1/2 binary64)) #s(literal 2 binary64)))
✓	52.0%	#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (pow.f64 (pow.f64 (cos.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64))) #s(literal -1/2 binary64)) #s(literal 2 binary64)))
✓	52.0%	#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (pow.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (cos.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64))))) #s(literal 2 binary64)))
	52.0%	#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (pow.f64 (+.f64 (cosh.f64 (.f64 (log.f64 (cos.f64 (.f64 (/.f64 x y) #s(literal 1/2 binary64)))) #s(literal -1/2 binary64))) (sinh.f64 (.f64 (log.f64 (cos.f64 (.f64 (/.f64 x y) #s(literal 1/2 binary64)))) #s(literal -1/2 binary64)))) #s(literal 2 binary64)))
	52.0%	#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (pow.f64 (.f64 (pow.f64 (pow.f64 (cos.f64 (.f64 (/.f64 x y) #s(literal 1/2 binary64))) #s(literal -1/2 binary64)) #s(literal 1/2 binary64)) (pow.f64 (pow.f64 (cos.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64))) #s(literal -1/2 binary64)) #s(literal 1/2 binary64))) #s(literal 2 binary64)))
	53.0%	#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (pow.f64 (sin.f64 (/.f64 (fma.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)) #s(literal 1/8 binary64) (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64))) (+.f64 (pow.f64 (.f64 (/.f64 x y) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) (.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64))))))) #s(literal -1 binary64)))
	55.4%	#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (pow.f64 (sin.f64 #s(approx (+ (* (/ x y) 1/2) (/ (PI) 2)) (*.f64 (fma.f64 (/.f64 (PI.f64) x) #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) y)) x))) #s(literal -1 binary64)))
	47.5%	#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (pow.f64 #s(approx (cos (* (/ x y) 1/2)) (fma.f64 #s(literal -1/8 binary64) (/.f64 (.f64 x x) (.f64 y y)) #s(literal 1 binary64))) #s(literal -1 binary64)))
	55.2%	#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))))))
	55.9%	#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (sin.f64 (+.f64 (neg.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64))) (/.f64 (PI.f64) #s(literal 2 binary64))))))
✓	56.0%	#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64)))))
	55.0%	#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal -1 binary64) (cos.f64 (fma.f64 (/.f64 x y) #s(literal 1/2 binary64) (PI.f64)))))
	52.0%	#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (+.f64 (cosh.f64 (.f64 (log.f64 (cos.f64 (.f64 (/.f64 x y) #s(literal 1/2 binary64)))) #s(literal -1 binary64))) (sinh.f64 (.f64 (log.f64 (cos.f64 (.f64 (/.f64 x y) #s(literal 1/2 binary64)))) #s(literal -1 binary64)))))
	51.4%	#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(approx (pow (+ (* (sin (* (/ x y) 1/2)) (cos (/ (PI) 2))) (* (cos (* (/ x y) 1/2)) (sin (/ (PI) 2)))) -1) (fma.f64 #s(literal -1/2 binary64) (.f64 (/.f64 x y) (/.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)))) (pow.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) (PI.f64))) #s(literal -1 binary64)))))
✓	54.5%	#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(literal 1 binary64))

Compiler

Compiled 3 423 to 1 191 computations (65.2% saved)

regimes91.0ms (2%)

Memory

16.1MiB live, 154.0MiB allocated; 29ms collecting garbage

Counts

57 → 2

Calls

Call 1

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

Outputs

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

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

Calls

5 calls:

25.0ms	y
18.0ms	(*.f64 y #s(literal 2 binary64))
16.0ms	(/.f64 (tan.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))))
14.0ms	x
13.0ms	(/.f64 x (*.f64 y #s(literal 2 binary64)))

Results

Accuracy	Segments	Branch
56.0%	1	`(*.f64 y #s(literal 2 binary64))`
57.5%	2	`(/.f64 x (*.f64 y #s(literal 2 binary64)))`
56.0%	1	`(/.f64 (tan.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))))`
56.0%	1	`x`
56.0%	1	`y`

Compiler

Compiled 23 to 21 computations (8.7% saved)

regimes11.0ms (0.2%)

Memory

-19.7MiB live, 26.4MiB allocated; 2ms collecting garbage

Accuracy

Total -5.0b remaining (-17.1%)

Threshold costs -5b (-17.1%)

Counts

4 → 1

Calls

Call 1

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

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

Calls

5 calls:

4.0ms	x
2.0ms	y
2.0ms	(*.f64 y #s(literal 2 binary64))
2.0ms	(/.f64 x (*.f64 y #s(literal 2 binary64)))
2.0ms	(/.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
54.5%	1	`(*.f64 y #s(literal 2 binary64))`
54.5%	1	`y`
54.5%	1	`x`
54.5%	1	`(/.f64 (tan.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))))`
54.5%	1	`(/.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	6.869529015243534e+287	2.0710811129660393e+291

Compiler

Compiled 12 to 13 computations (-8.3% saved)

simplify48.0ms (1.1%)

Memory

-16.6MiB live, 38.9MiB allocated; 27ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	21	60
1	30	60
2	50	60
3	112	60
4	477	60
5	4048	60

Stop Event

1×	node limit

Calls

Call 1

Inputs

(if (<=.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))) #s(literal 1000000000000000007630473539575035660514778335511710750780086664439969510636494954611131549135839186513983455555395220895687860544809584999829725260594873271087399626486606146442550988840016917394626449536395208620267012778077787723395914064607119962069483324573977857832138825282954985472 binary64)) #s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64))))) #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))

Outputs

(if (<=.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))) #s(literal 1000000000000000007630473539575035660514778335511710750780086664439969510636494954611131549135839186513983455555395220895687860544809584999829725260594873271087399626486606146442550988840016917394626449536395208620267012778077787723395914064607119962069483324573977857832138825282954985472 binary64)) #s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64))))) #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))

derivations64.0ms (1.4%)

Memory

31.7MiB live, 78.3MiB allocated; 6ms collecting garbage

Stop Event

1×

fuel

Compiler

Compiled 60 to 22 computations (63.3% saved)

preprocess32.0ms (0.7%)

Memory: -11.4MiB live, 81.2MiB allocated; 7ms collecting garbage
Compiler: Compiled 390 to 184 computations (52.8% saved)

end0.0ms (0%)

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

start0.0ms (0%)

analyze209.0ms (4.6%)

sample2.0s (44.9%)

explain222.0ms (4.9%)

preprocess197.0ms (4.4%)

eval0.0ms (0%)

prune0.0ms (0%)

series21.0ms (0.5%)

rewrite220.0ms (4.9%)

eval10.0ms (0.2%)

prune14.0ms (0.3%)

series31.0ms (0.7%)

rewrite183.0ms (4%)

eval37.0ms (0.8%)

prune26.0ms (0.6%)

series61.0ms (1.4%)

rewrite285.0ms (6.3%)

eval91.0ms (2%)

prune83.0ms (1.8%)

series109.0ms (2.4%)

rewrite267.0ms (5.9%)

eval116.0ms (2.6%)

prune61.0ms (1.4%)

regimes91.0ms (2%)

regimes11.0ms (0.2%)

bsearch1.0ms (0%)

simplify48.0ms (1.1%)

derivations64.0ms (1.4%)

preprocess32.0ms (0.7%)

end0.0ms (0%)

Profiling