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

analyze370.0ms (7.7%)

Memory

-2.7MiB live, 237.3MiB allocated; 138ms collecting garbage

Algorithm

1×

Search

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

Compiler

Compiled 15 to 10 computations (33.3% saved)

sample1.8s (37.8%)

Memory

49.5MiB live, 2 600.1MiB allocated; 392ms collecting garbage

Samples

947.0ms	4 005×	1	valid
488.0ms	4 251×	0	valid

Precisions

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

ival-tan: 347.0ms (32% of total)

ival-div: 302.0ms (27.9% of total)

ival-sin: 254.0ms (23.4% of total)

ival-mult: 89.0ms (8.2% of total)

adjust: 74.0ms (6.8% of total)

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

exact: 6.0ms (0.6% of total)

ival-assert: 4.0ms (0.4% of total)

Bogosity

explain174.0ms (3.6%)

Memory

20.1MiB live, 303.5MiB allocated; 30ms collecting garbage

FPErrors

Click to see full error table

Ground Truth	Example	Underpredictions	Example	Subexpression
134	-	1	(-4.382945045763814e+227 -8.196050254596502e+225)	`(tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))`
133	-	0	-	`(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	99	0
`tan.f64`	`(tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))`	sensitivity	99	0
`sin.f64`	`(sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))`	oflow-rescue	34	0
↳	`(/.f64 x (*.f64 y #s(literal 2 binary64)))`	overflow	34
`tan.f64`	`(tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))`	oflow-rescue	34	0
↳	`(/.f64 x (*.f64 y #s(literal 2 binary64)))`	overflow	34
`/.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

Confusion

	Predicted +	Predicted -
+	165	1
-	0	90

Precision

1.0

Recall

0.9939759036144579

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	165	0	1
-	0	0	90

Precision?

1.0

Recall?

0.9939759036144579

Freqs

test

number	freq
0	91
1	32
2	133

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

53.0ms	264×	1	valid
38.0ms	248×	0	valid

Compiler

Compiled 89 to 28 computations (68.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 67.0ms

ival-mult: 20.0ms (30% of total)

ival-tan: 19.0ms (28.5% of total)

ival-sin: 13.0ms (19.5% of total)

ival-div: 10.0ms (15% of total)

adjust: 5.0ms (7.5% of total)

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

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

exact: 0.0ms (0% of total)

preprocess248.0ms (5.1%)

Memory

-2.2MiB live, 203.1MiB allocated; 125ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	22	75
1	51	67
2	135	65
3	290	65
4	703	65
5	2756	65
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 y)

(abs x)

Compiler

Compiled 13 to 8 computations (38.5% saved)

eval0.0ms (0%)

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

prune0.0ms (0%)

Memory

1.0MiB live, 1.0MiB allocated; 0ms collecting garbage

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	40.7%	(/.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)

series50.0ms (1%)

Memory

-34.0MiB live, 64.7MiB allocated; 21ms 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
29.0ms	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))))
8.0ms	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))))
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))))
2.0ms	x	@	0	((/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (tan (/ x (* y 2))) (/ x (* y 2)) x (* y 2) y 2 (sin (/ x (* y 2))))
2.0ms	y	@	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))))

simplify211.0ms (4.4%)

Memory

31.2MiB live, 293.1MiB allocated; 60ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	iter limit
1×	node limit

Counts

37 → 37

Calls

Call 1

Inputs
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(hole binary64 1))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(hole binary64 (+ 1 (* 1/8 (/ (pow x 2) (pow y 2))))))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(hole binary64 (+ 1 (* (pow x 2) (+ (* 5/384 (/ (pow x 2) (pow y 4))) (* 1/8 (/ 1 (pow y 2))))))))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(hole binary64 (+ 1 (* (pow x 2) (+ (* (pow x 2) (+ (* 61/46080 (/ (pow x 2) (pow y 6))) (* 5/384 (/ 1 (pow y 4))))) (* 1/8 (/ 1 (pow y 2))))))))
#s(approx (tan (/ x (* y 2))) #s(hole binary64 (* 1/2 (/ x y))))
#s(approx (tan (/ x (* y 2))) #s(hole binary64 (* x (+ (* 1/24 (/ (pow x 2) (pow y 3))) (* 1/2 (/ 1 y))))))
#s(approx (tan (/ x (* y 2))) #s(hole binary64 (* x (+ (* (pow x 2) (+ (* 1/240 (/ (pow x 2) (pow y 5))) (* 1/24 (/ 1 (pow y 3))))) (* 1/2 (/ 1 y))))))
#s(approx (tan (/ x (* y 2))) #s(hole binary64 (* x (+ (* (pow x 2) (+ (* (pow x 2) (+ (* 17/40320 (/ (pow x 2) (pow y 7))) (* 1/240 (/ 1 (pow y 5))))) (* 1/24 (/ 1 (pow y 3))))) (* 1/2 (/ 1 y))))))
#s(approx (/ x (* y 2)) #s(hole binary64 (* 1/2 (/ x y))))
#s(approx x #s(hole binary64 x))
#s(approx (sin (/ x (* y 2))) #s(hole binary64 (* 1/2 (/ x y))))
#s(approx (sin (/ x (* y 2))) #s(hole binary64 (* x (+ (* -1/48 (/ (pow x 2) (pow y 3))) (* 1/2 (/ 1 y))))))
#s(approx (sin (/ x (* y 2))) #s(hole binary64 (* x (+ (* (pow x 2) (- (* 1/3840 (/ (pow x 2) (pow y 5))) (* 1/48 (/ 1 (pow y 3))))) (* 1/2 (/ 1 y))))))
#s(approx (sin (/ x (* y 2))) #s(hole binary64 (* x (+ (* (pow x 2) (- (* (pow x 2) (+ (* -1/645120 (/ (pow x 2) (pow y 7))) (* 1/3840 (/ 1 (pow y 5))))) (* 1/48 (/ 1 (pow y 3))))) (* 1/2 (/ 1 y))))))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(hole binary64 (/ 1 (cos (* 1/2 (/ x y))))))
#s(approx (tan (/ x (* y 2))) #s(hole binary64 (/ (sin (* 1/2 (/ x y))) (cos (* 1/2 (/ x y))))))
#s(approx (sin (/ x (* y 2))) #s(hole binary64 (sin (* 1/2 (/ x y)))))
#s(approx (* y 2) #s(hole binary64 (* 2 y)))
#s(approx y #s(hole binary64 y))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(hole binary64 (- (+ 1 (* 2 (/ (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3))) (* x (pow y 2))))) (* -1/24 (/ (pow x 2) (pow y 2))))))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(hole binary64 (- (+ 1 (+ (* 2 (/ (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3))) (* x (pow y 2)))) (* 2 (/ (- (* 1/3840 (pow x 5)) (+ (* -1/8 (* (pow x 2) (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3))))) (* 1/768 (pow x 5)))) (* x (pow y 4)))))) (+ (* -1/24 (/ (* (pow x 2) (- (* 2 (/ (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3))) x)) (* -1/24 (pow x 2)))) (pow y 4))) (+ (* -1/24 (/ (pow x 2) (pow y 2))) (* 1/1920 (/ (pow x 4) (pow y 4))))))))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(hole binary64 (- (+ 1 (+ (* 2 (/ (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3))) (* x (pow y 2)))) (+ (* 2 (/ (- (* -1/645120 (pow x 7)) (+ (* -1/8 (* (pow x 2) (- (* 1/3840 (pow x 5)) (+ (* -1/8 (* (pow x 2) (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3))))) (* 1/768 (pow x 5)))))) (+ (* -1/92160 (pow x 7)) (* 1/384 (* (pow x 4) (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3)))))))) (* x (pow y 6)))) (* 2 (/ (- (* 1/3840 (pow x 5)) (+ (* -1/8 (* (pow x 2) (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3))))) (* 1/768 (pow x 5)))) (* x (pow y 4))))))) (+ (* -1/24 (/ (* (pow x 2) (- (* 2 (/ (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3))) x)) (* -1/24 (pow x 2)))) (pow y 4))) (+ (* -1/24 (/ (* (pow x 2) (- (* 2 (/ (- (* 1/3840 (pow x 5)) (+ (* -1/8 (* (pow x 2) (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3))))) (* 1/768 (pow x 5)))) x)) (+ (* -1/24 (* (pow x 2) (- (* 2 (/ (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3))) x)) (* -1/24 (pow x 2))))) (* 1/1920 (pow x 4))))) (pow y 6))) (+ (* -1/24 (/ (pow x 2) (pow y 2))) (+ (* -1/322560 (/ (pow x 6) (pow y 6))) (+ (* 1/1920 (/ (* (pow x 4) (- (* 2 (/ (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3))) x)) (* -1/24 (pow x 2)))) (pow y 6))) (* 1/1920 (/ (pow x 4) (pow y 4)))))))))))
#s(approx (tan (/ x (* y 2))) #s(hole binary64 (/ (- (+ (* -1/48 (/ (pow x 3) (pow y 2))) (* 1/2 x)) (* -1/16 (/ (pow x 3) (pow y 2)))) y)))
#s(approx (tan (/ x (* y 2))) #s(hole binary64 (/ (- (+ (* -1/48 (/ (pow x 3) (pow y 2))) (+ (* 1/3840 (/ (pow x 5) (pow y 4))) (* 1/2 x))) (+ (* -1/8 (/ (* (pow x 2) (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3)))) (pow y 4))) (+ (* -1/16 (/ (pow x 3) (pow y 2))) (* 1/768 (/ (pow x 5) (pow y 4)))))) y)))
#s(approx (tan (/ x (* y 2))) #s(hole binary64 (/ (- (+ (* -1/48 (/ (pow x 3) (pow y 2))) (+ (* -1/645120 (/ (pow x 7) (pow y 6))) (+ (* 1/3840 (/ (pow x 5) (pow y 4))) (* 1/2 x)))) (+ (* -1/8 (/ (* (pow x 2) (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3)))) (pow y 4))) (+ (* -1/8 (/ (* (pow x 2) (- (* 1/3840 (pow x 5)) (+ (* -1/8 (* (pow x 2) (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3))))) (* 1/768 (pow x 5))))) (pow y 6))) (+ (* -1/16 (/ (pow x 3) (pow y 2))) (+ (* -1/92160 (/ (pow x 7) (pow y 6))) (+ (* 1/768 (/ (pow x 5) (pow y 4))) (* 1/384 (/ (* (pow x 4) (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3)))) (pow y 6))))))))) y)))
#s(approx (sin (/ x (* y 2))) #s(hole binary64 (/ (+ (* -1/48 (/ (pow x 3) (pow y 2))) (* 1/2 x)) y)))
#s(approx (sin (/ x (* y 2))) #s(hole binary64 (/ (+ (* -1/48 (/ (pow x 3) (pow y 2))) (+ (* 1/3840 (/ (pow x 5) (pow y 4))) (* 1/2 x))) y)))
#s(approx (sin (/ x (* y 2))) #s(hole binary64 (/ (+ (* -1/48 (/ (pow x 3) (pow y 2))) (+ (* -1/645120 (/ (pow x 7) (pow y 6))) (+ (* 1/3840 (/ (pow x 5) (pow y 4))) (* 1/2 x)))) y)))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(hole binary64 (- (+ 1 (* -2 (/ (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3))) (* x (pow y 2))))) (* -1/24 (/ (pow x 2) (pow y 2))))))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(hole binary64 (- (+ 1 (+ (* -2 (/ (- (* -1/3840 (pow x 5)) (+ (* -1/8 (* (pow x 2) (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3))))) (* -1/768 (pow x 5)))) (* x (pow y 4)))) (* -2 (/ (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3))) (* x (pow y 2)))))) (+ (* -1/24 (/ (* (pow x 2) (- (* -2 (/ (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3))) x)) (* -1/24 (pow x 2)))) (pow y 4))) (+ (* -1/24 (/ (pow x 2) (pow y 2))) (* 1/1920 (/ (pow x 4) (pow y 4))))))))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(hole binary64 (- (+ 1 (+ (* -2 (/ (- (* -1/3840 (pow x 5)) (+ (* -1/8 (* (pow x 2) (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3))))) (* -1/768 (pow x 5)))) (* x (pow y 4)))) (+ (* -2 (/ (- (* 1/645120 (pow x 7)) (+ (* -1/8 (* (pow x 2) (- (* -1/3840 (pow x 5)) (+ (* -1/8 (* (pow x 2) (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3))))) (* -1/768 (pow x 5)))))) (+ (* 1/92160 (pow x 7)) (* 1/384 (* (pow x 4) (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3)))))))) (* x (pow y 6)))) (* -2 (/ (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3))) (* x (pow y 2))))))) (+ (* -1/24 (/ (* (pow x 2) (- (* -2 (/ (- (* -1/3840 (pow x 5)) (+ (* -1/8 (* (pow x 2) (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3))))) (* -1/768 (pow x 5)))) x)) (+ (* -1/24 (* (pow x 2) (- (* -2 (/ (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3))) x)) (* -1/24 (pow x 2))))) (* 1/1920 (pow x 4))))) (pow y 6))) (+ (* -1/24 (/ (* (pow x 2) (- (* -2 (/ (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3))) x)) (* -1/24 (pow x 2)))) (pow y 4))) (+ (* -1/24 (/ (pow x 2) (pow y 2))) (+ (* -1/322560 (/ (pow x 6) (pow y 6))) (+ (* 1/1920 (/ (* (pow x 4) (- (* -2 (/ (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3))) x)) (* -1/24 (pow x 2)))) (pow y 6))) (* 1/1920 (/ (pow x 4) (pow y 4)))))))))))
#s(approx (tan (/ x (* y 2))) #s(hole binary64 (* -1 (/ (- (+ (* -1/2 x) (* 1/48 (/ (pow x 3) (pow y 2)))) (* 1/16 (/ (pow x 3) (pow y 2)))) y))))
#s(approx (tan (/ x (* y 2))) #s(hole binary64 (* -1 (/ (- (+ (* -1/2 x) (+ (* -1/3840 (/ (pow x 5) (pow y 4))) (* 1/48 (/ (pow x 3) (pow y 2))))) (+ (* -1/8 (/ (* (pow x 2) (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3)))) (pow y 4))) (+ (* -1/768 (/ (pow x 5) (pow y 4))) (* 1/16 (/ (pow x 3) (pow y 2)))))) y))))
#s(approx (tan (/ x (* y 2))) #s(hole binary64 (* -1 (/ (- (+ (* -1/2 x) (+ (* -1/3840 (/ (pow x 5) (pow y 4))) (+ (* 1/645120 (/ (pow x 7) (pow y 6))) (* 1/48 (/ (pow x 3) (pow y 2)))))) (+ (* -1/8 (/ (* (pow x 2) (- (* -1/3840 (pow x 5)) (+ (* -1/8 (* (pow x 2) (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3))))) (* -1/768 (pow x 5))))) (pow y 6))) (+ (* -1/8 (/ (* (pow x 2) (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3)))) (pow y 4))) (+ (* -1/768 (/ (pow x 5) (pow y 4))) (+ (* 1/92160 (/ (pow x 7) (pow y 6))) (+ (* 1/384 (/ (* (pow x 4) (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3)))) (pow y 6))) (* 1/16 (/ (pow x 3) (pow y 2))))))))) y))))
#s(approx (sin (/ x (* y 2))) #s(hole binary64 (* -1 (/ (+ (* -1/2 x) (* 1/48 (/ (pow x 3) (pow y 2)))) y))))
#s(approx (sin (/ x (* y 2))) #s(hole binary64 (* -1 (/ (+ (* -1/2 x) (+ (* -1/3840 (/ (pow x 5) (pow y 4))) (* 1/48 (/ (pow x 3) (pow y 2))))) y))))
#s(approx (sin (/ x (* y 2))) #s(hole binary64 (* -1 (/ (+ (* -1/2 x) (+ (* -1/3840 (/ (pow x 5) (pow y 4))) (+ (* 1/645120 (/ (pow x 7) (pow y 6))) (* 1/48 (/ (pow x 3) (pow y 2)))))) y))))

Outputs
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(hole binary64 1))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(literal 1 binary64))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(hole binary64 (+ 1 (* 1/8 (/ (pow x 2) (pow y 2))))))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (fma.f64 (/.f64 (*.f64 x x) y) (/.f64 #s(literal 1/8 binary64) y) #s(literal 1 binary64)))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(hole binary64 (+ 1 (* (pow x 2) (+ (* 5/384 (/ (pow x 2) (pow y 4))) (* 1/8 (/ 1 (pow y 2))))))))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (fma.f64 (fma.f64 (.f64 (/.f64 #s(literal 5/384 binary64) (pow.f64 y #s(literal 4 binary64))) x) x (/.f64 #s(literal 1/8 binary64) (.f64 y y))) (*.f64 x x) #s(literal 1 binary64)))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(hole binary64 (+ 1 (* (pow x 2) (+ (* (pow x 2) (+ (* 61/46080 (/ (pow x 2) (pow y 6))) (* 5/384 (/ 1 (pow y 4))))) (* 1/8 (/ 1 (pow y 2))))))))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (fma.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (.f64 x (/.f64 x (pow.f64 y #s(literal 6 binary64)))) #s(literal 61/46080 binary64) (/.f64 #s(literal 5/384 binary64) (pow.f64 y #s(literal 4 binary64)))) (fma.f64 (/.f64 (.f64 x x) y) (/.f64 #s(literal 1/8 binary64) y) #s(literal 1 binary64))))
#s(approx (tan (/ x (* y 2))) #s(hole binary64 (* 1/2 (/ x y))))
#s(approx (tan (/ x (* y 2))) (*.f64 (/.f64 x y) #s(literal 1/2 binary64)))
#s(approx (tan (/ x (* y 2))) #s(hole binary64 (* x (+ (* 1/24 (/ (pow x 2) (pow y 3))) (* 1/2 (/ 1 y))))))
#s(approx (tan (/ x (* y 2))) (.f64 (/.f64 (fma.f64 (/.f64 #s(literal 1/24 binary64) y) (/.f64 (.f64 x x) y) #s(literal 1/2 binary64)) y) x))
#s(approx (tan (/ x (* y 2))) #s(hole binary64 (* x (+ (* (pow x 2) (+ (* 1/240 (/ (pow x 2) (pow y 5))) (* 1/24 (/ 1 (pow y 3))))) (* 1/2 (/ 1 y))))))
#s(approx (tan (/ x (* y 2))) (fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (.f64 (/.f64 #s(literal 1/240 binary64) (pow.f64 y #s(literal 5 binary64))) x) x (/.f64 #s(literal 1/24 binary64) (pow.f64 y #s(literal 3 binary64)))) (.f64 (/.f64 x y) #s(literal 1/2 binary64))))
#s(approx (tan (/ x (* y 2))) #s(hole binary64 (* x (+ (* (pow x 2) (+ (* (pow x 2) (+ (* 17/40320 (/ (pow x 2) (pow y 7))) (* 1/240 (/ 1 (pow y 5))))) (* 1/24 (/ 1 (pow y 3))))) (* 1/2 (/ 1 y))))))
#s(approx (tan (/ x (* y 2))) (fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (fma.f64 (.f64 x (/.f64 x (pow.f64 y #s(literal 7 binary64)))) #s(literal 17/40320 binary64) (/.f64 #s(literal 1/240 binary64) (pow.f64 y #s(literal 5 binary64)))) (.f64 x x) (/.f64 #s(literal 1/24 binary64) (pow.f64 y #s(literal 3 binary64)))) (*.f64 (/.f64 x y) #s(literal 1/2 binary64))))
#s(approx (/ x (* y 2)) #s(hole binary64 (* 1/2 (/ x y))))
#s(approx (/ x (* y 2)) (*.f64 (/.f64 x y) #s(literal 1/2 binary64)))
#s(approx x #s(hole binary64 x))
#s(approx x x)
#s(approx (sin (/ x (* y 2))) #s(hole binary64 (* 1/2 (/ x y))))
#s(approx (sin (/ x (* y 2))) (*.f64 (/.f64 x y) #s(literal 1/2 binary64)))
#s(approx (sin (/ x (* y 2))) #s(hole binary64 (* x (+ (* -1/48 (/ (pow x 2) (pow y 3))) (* 1/2 (/ 1 y))))))
#s(approx (sin (/ x (* y 2))) (.f64 (/.f64 (fma.f64 (/.f64 #s(literal -1/48 binary64) y) (/.f64 (.f64 x x) y) #s(literal 1/2 binary64)) y) x))
#s(approx (sin (/ x (* y 2))) #s(hole binary64 (* x (+ (* (pow x 2) (- (* 1/3840 (/ (pow x 2) (pow y 5))) (* 1/48 (/ 1 (pow y 3))))) (* 1/2 (/ 1 y))))))
#s(approx (sin (/ x (* y 2))) (fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (.f64 (/.f64 #s(literal 1/3840 binary64) (pow.f64 y #s(literal 5 binary64))) x) x (/.f64 #s(literal -1/48 binary64) (pow.f64 y #s(literal 3 binary64)))) (.f64 (/.f64 x y) #s(literal 1/2 binary64))))
#s(approx (sin (/ x (* y 2))) #s(hole binary64 (* x (+ (* (pow x 2) (- (* (pow x 2) (+ (* -1/645120 (/ (pow x 2) (pow y 7))) (* 1/3840 (/ 1 (pow y 5))))) (* 1/48 (/ 1 (pow y 3))))) (* 1/2 (/ 1 y))))))
#s(approx (sin (/ x (* y 2))) (fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (fma.f64 #s(literal -1/645120 binary64) (.f64 x (/.f64 x (pow.f64 y #s(literal 7 binary64)))) (/.f64 #s(literal 1/3840 binary64) (pow.f64 y #s(literal 5 binary64)))) (.f64 x x) (/.f64 #s(literal -1/48 binary64) (pow.f64 y #s(literal 3 binary64)))) (*.f64 (/.f64 x y) #s(literal 1/2 binary64))))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(hole binary64 (/ 1 (cos (* 1/2 (/ x y))))))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y)))))
#s(approx (tan (/ x (* y 2))) #s(hole binary64 (/ (sin (* 1/2 (/ x y))) (cos (* 1/2 (/ x y))))))
#s(approx (tan (/ x (* y 2))) (/.f64 (sin.f64 (.f64 (/.f64 x y) #s(literal 1/2 binary64))) (cos.f64 (.f64 #s(literal -1/2 binary64) (/.f64 x y)))))
#s(approx (sin (/ x (* y 2))) #s(hole binary64 (sin (* 1/2 (/ x y)))))
#s(approx (sin (/ x (* y 2))) (sin.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64))))
#s(approx (* y 2) #s(hole binary64 (* 2 y)))
#s(approx (* y 2) (*.f64 #s(literal 2 binary64) y))
#s(approx y #s(hole binary64 y))
#s(approx y y)
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(hole binary64 (- (+ 1 (* 2 (/ (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3))) (* x (pow y 2))))) (* -1/24 (/ (pow x 2) (pow y 2))))))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal -2 binary64) (/.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/24 binary64)) x) (.f64 #s(literal -1/24 binary64) (.f64 x x))) (.f64 y y))))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(hole binary64 (- (+ 1 (+ (* 2 (/ (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3))) (* x (pow y 2)))) (* 2 (/ (- (* 1/3840 (pow x 5)) (+ (* -1/8 (* (pow x 2) (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3))))) (* 1/768 (pow x 5)))) (* x (pow y 4)))))) (+ (* -1/24 (/ (* (pow x 2) (- (* 2 (/ (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3))) x)) (* -1/24 (pow x 2)))) (pow y 4))) (+ (* -1/24 (/ (pow x 2) (pow y 2))) (* 1/1920 (/ (pow x 4) (pow y 4))))))))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (fma.f64 (/.f64 (fma.f64 (/.f64 #s(literal 1/24 binary64) y) (/.f64 (pow.f64 x #s(literal 3 binary64)) y) (/.f64 (-.f64 (fma.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 1/3840 binary64) (.f64 #s(literal -1/768 binary64) (pow.f64 x #s(literal 5 binary64)))) (.f64 (.f64 #s(literal -1/8 binary64) (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/24 binary64))) (.f64 x x))) (pow.f64 y #s(literal 4 binary64)))) x) #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (.f64 #s(literal -1/24 binary64) x) y) (/.f64 x y) (/.f64 (fma.f64 (.f64 #s(literal -1/24 binary64) (fma.f64 #s(literal 1/24 binary64) (.f64 x x) (.f64 (/.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/24 binary64)) x) #s(literal 2 binary64)))) (.f64 x x) (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/1920 binary64))) (pow.f64 y #s(literal 4 binary64)))))))
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#s(approx (tan (/ x (* y 2))) #s(hole binary64 (/ (- (+ (* -1/48 (/ (pow x 3) (pow y 2))) (* 1/2 x)) (* -1/16 (/ (pow x 3) (pow y 2)))) y)))
#s(approx (tan (/ x (* y 2))) (/.f64 (fma.f64 #s(literal 1/2 binary64) x (*.f64 (/.f64 #s(literal 1/24 binary64) y) (/.f64 (pow.f64 x #s(literal 3 binary64)) y))) y))
#s(approx (tan (/ x (* y 2))) #s(hole binary64 (/ (- (+ (* -1/48 (/ (pow x 3) (pow y 2))) (+ (* 1/3840 (/ (pow x 5) (pow y 4))) (* 1/2 x))) (+ (* -1/8 (/ (* (pow x 2) (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3)))) (pow y 4))) (+ (* -1/16 (/ (pow x 3) (pow y 2))) (* 1/768 (/ (pow x 5) (pow y 4)))))) y)))
#s(approx (tan (/ x (* y 2))) (/.f64 (-.f64 (fma.f64 (/.f64 #s(literal -1/48 binary64) y) (/.f64 (pow.f64 x #s(literal 3 binary64)) y) (fma.f64 (/.f64 (pow.f64 x #s(literal 5 binary64)) (pow.f64 y #s(literal 4 binary64))) #s(literal 1/3840 binary64) (.f64 #s(literal 1/2 binary64) x))) (fma.f64 (/.f64 #s(literal -1/16 binary64) y) (/.f64 (pow.f64 x #s(literal 3 binary64)) y) (/.f64 (fma.f64 (.f64 #s(literal -1/8 binary64) (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/24 binary64))) (.f64 x x) (*.f64 #s(literal 1/768 binary64) (pow.f64 x #s(literal 5 binary64)))) (pow.f64 y #s(literal 4 binary64))))) y))
#s(approx (tan (/ x (* y 2))) #s(hole binary64 (/ (- (+ (* -1/48 (/ (pow x 3) (pow y 2))) (+ (* -1/645120 (/ (pow x 7) (pow y 6))) (+ (* 1/3840 (/ (pow x 5) (pow y 4))) (* 1/2 x)))) (+ (* -1/8 (/ (* (pow x 2) (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3)))) (pow y 4))) (+ (* -1/8 (/ (* (pow x 2) (- (* 1/3840 (pow x 5)) (+ (* -1/8 (* (pow x 2) (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3))))) (* 1/768 (pow x 5))))) (pow y 6))) (+ (* -1/16 (/ (pow x 3) (pow y 2))) (+ (* -1/92160 (/ (pow x 7) (pow y 6))) (+ (* 1/768 (/ (pow x 5) (pow y 4))) (* 1/384 (/ (* (pow x 4) (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3)))) (pow y 6))))))))) y)))
#s(approx (tan (/ x (* y 2))) (/.f64 (-.f64 (fma.f64 (/.f64 #s(literal -1/48 binary64) y) (/.f64 (pow.f64 x #s(literal 3 binary64)) y) (fma.f64 (pow.f64 x #s(literal 7 binary64)) (/.f64 #s(literal -1/645120 binary64) (pow.f64 y #s(literal 6 binary64))) (fma.f64 (/.f64 (pow.f64 x #s(literal 5 binary64)) (pow.f64 y #s(literal 4 binary64))) #s(literal 1/3840 binary64) (.f64 #s(literal 1/2 binary64) x)))) (fma.f64 #s(literal -1/8 binary64) (fma.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) (/.f64 #s(literal 1/24 binary64) (pow.f64 y #s(literal 4 binary64)))) (.f64 x x) (/.f64 (.f64 (-.f64 (fma.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 1/3840 binary64) (.f64 #s(literal -1/768 binary64) (pow.f64 x #s(literal 5 binary64)))) (.f64 (.f64 #s(literal -1/8 binary64) (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/24 binary64))) (.f64 x x))) (.f64 x x)) (pow.f64 y #s(literal 6 binary64)))) (fma.f64 (/.f64 #s(literal -1/16 binary64) y) (/.f64 (pow.f64 x #s(literal 3 binary64)) y) (fma.f64 (/.f64 (pow.f64 x #s(literal 5 binary64)) (pow.f64 y #s(literal 4 binary64))) #s(literal 1/768 binary64) (/.f64 (fma.f64 (.f64 #s(literal 1/384 binary64) (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/24 binary64))) (pow.f64 x #s(literal 4 binary64)) (*.f64 #s(literal -1/92160 binary64) (pow.f64 x #s(literal 7 binary64)))) (pow.f64 y #s(literal 6 binary64))))))) y))
#s(approx (sin (/ x (* y 2))) #s(hole binary64 (/ (+ (* -1/48 (/ (pow x 3) (pow y 2))) (* 1/2 x)) y)))
#s(approx (sin (/ x (* y 2))) (.f64 (/.f64 (fma.f64 (/.f64 #s(literal -1/48 binary64) y) (/.f64 (.f64 x x) y) #s(literal 1/2 binary64)) y) x))
#s(approx (sin (/ x (* y 2))) #s(hole binary64 (/ (+ (* -1/48 (/ (pow x 3) (pow y 2))) (+ (* 1/3840 (/ (pow x 5) (pow y 4))) (* 1/2 x))) y)))
#s(approx (sin (/ x (* y 2))) (/.f64 (fma.f64 (/.f64 #s(literal -1/48 binary64) y) (/.f64 (pow.f64 x #s(literal 3 binary64)) y) (fma.f64 (/.f64 (pow.f64 x #s(literal 5 binary64)) (pow.f64 y #s(literal 4 binary64))) #s(literal 1/3840 binary64) (*.f64 #s(literal 1/2 binary64) x))) y))
#s(approx (sin (/ x (* y 2))) #s(hole binary64 (/ (+ (* -1/48 (/ (pow x 3) (pow y 2))) (+ (* -1/645120 (/ (pow x 7) (pow y 6))) (+ (* 1/3840 (/ (pow x 5) (pow y 4))) (* 1/2 x)))) y)))
#s(approx (sin (/ x (* y 2))) (/.f64 (fma.f64 (/.f64 #s(literal -1/48 binary64) y) (/.f64 (pow.f64 x #s(literal 3 binary64)) y) (fma.f64 (pow.f64 x #s(literal 7 binary64)) (/.f64 #s(literal -1/645120 binary64) (pow.f64 y #s(literal 6 binary64))) (fma.f64 (/.f64 (pow.f64 x #s(literal 5 binary64)) (pow.f64 y #s(literal 4 binary64))) #s(literal 1/3840 binary64) (*.f64 #s(literal 1/2 binary64) x)))) y))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(hole binary64 (- (+ 1 (* -2 (/ (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3))) (* x (pow y 2))))) (* -1/24 (/ (pow x 2) (pow y 2))))))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 2 binary64) (/.f64 (.f64 #s(literal -1/24 binary64) (pow.f64 x #s(literal 3 binary64))) x) (.f64 #s(literal -1/24 binary64) (.f64 x x))) (.f64 y y))))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(hole binary64 (- (+ 1 (+ (* -2 (/ (- (* -1/3840 (pow x 5)) (+ (* -1/8 (* (pow x 2) (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3))))) (* -1/768 (pow x 5)))) (* x (pow y 4)))) (* -2 (/ (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3))) (* x (pow y 2)))))) (+ (* -1/24 (/ (* (pow x 2) (- (* -2 (/ (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3))) x)) (* -1/24 (pow x 2)))) (pow y 4))) (+ (* -1/24 (/ (pow x 2) (pow y 2))) (* 1/1920 (/ (pow x 4) (pow y 4))))))))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (fma.f64 (/.f64 (fma.f64 (/.f64 #s(literal -1/24 binary64) y) (/.f64 (pow.f64 x #s(literal 3 binary64)) y) (/.f64 (-.f64 (fma.f64 #s(literal -1/3840 binary64) (pow.f64 x #s(literal 5 binary64)) (.f64 #s(literal 1/768 binary64) (pow.f64 x #s(literal 5 binary64)))) (.f64 (.f64 #s(literal -1/8 binary64) (.f64 #s(literal -1/24 binary64) (pow.f64 x #s(literal 3 binary64)))) (.f64 x x))) (pow.f64 y #s(literal 4 binary64)))) x) #s(literal -2 binary64) (-.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (.f64 #s(literal -1/24 binary64) x) y) (/.f64 x y) (/.f64 (fma.f64 (.f64 #s(literal -1/24 binary64) (fma.f64 #s(literal 1/24 binary64) (.f64 x x) (.f64 (/.f64 (.f64 #s(literal -1/24 binary64) (pow.f64 x #s(literal 3 binary64))) x) #s(literal -2 binary64)))) (.f64 x x) (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/1920 binary64))) (pow.f64 y #s(literal 4 binary64)))))))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(hole binary64 (- (+ 1 (+ (* -2 (/ (- (* -1/3840 (pow x 5)) (+ (* -1/8 (* (pow x 2) (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3))))) (* -1/768 (pow x 5)))) (* x (pow y 4)))) (+ (* -2 (/ (- (* 1/645120 (pow x 7)) (+ (* -1/8 (* (pow x 2) (- (* -1/3840 (pow x 5)) (+ (* -1/8 (* (pow x 2) (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3))))) (* -1/768 (pow x 5)))))) (+ (* 1/92160 (pow x 7)) (* 1/384 (* (pow x 4) (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3)))))))) (* x (pow y 6)))) (* -2 (/ (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3))) (* x (pow y 2))))))) (+ (* -1/24 (/ (* (pow x 2) (- (* -2 (/ (- (* -1/3840 (pow x 5)) (+ (* -1/8 (* (pow x 2) (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3))))) (* -1/768 (pow x 5)))) x)) (+ (* -1/24 (* (pow x 2) (- (* -2 (/ (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3))) x)) (* -1/24 (pow x 2))))) (* 1/1920 (pow x 4))))) (pow y 6))) (+ (* -1/24 (/ (* (pow x 2) (- (* -2 (/ (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3))) x)) (* -1/24 (pow x 2)))) (pow y 4))) (+ (* -1/24 (/ (pow x 2) (pow y 2))) (+ (* -1/322560 (/ (pow x 6) (pow y 6))) (+ (* 1/1920 (/ (* (pow x 4) (- (* -2 (/ (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3))) x)) (* -1/24 (pow x 2)))) (pow y 6))) (* 1/1920 (/ (pow x 4) (pow y 4)))))))))))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (-.f64 (fma.f64 #s(literal -2 binary64) (+.f64 (/.f64 (fma.f64 (/.f64 #s(literal -1/24 binary64) y) (/.f64 (pow.f64 x #s(literal 3 binary64)) y) (/.f64 (-.f64 (.f64 #s(literal 1/645120 binary64) (pow.f64 x #s(literal 7 binary64))) (fma.f64 (.f64 #s(literal -1/8 binary64) (.f64 x x)) (-.f64 (fma.f64 #s(literal -1/3840 binary64) (pow.f64 x #s(literal 5 binary64)) (.f64 #s(literal 1/768 binary64) (pow.f64 x #s(literal 5 binary64)))) (.f64 (.f64 #s(literal -1/8 binary64) (.f64 #s(literal -1/24 binary64) (pow.f64 x #s(literal 3 binary64)))) (.f64 x x))) (fma.f64 (.f64 #s(literal -1/384 binary64) (pow.f64 x #s(literal 4 binary64))) (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/24 binary64)) (.f64 #s(literal 1/92160 binary64) (pow.f64 x #s(literal 7 binary64)))))) (pow.f64 y #s(literal 6 binary64)))) x) (/.f64 (-.f64 (fma.f64 #s(literal -1/3840 binary64) (pow.f64 x #s(literal 5 binary64)) (.f64 #s(literal 1/768 binary64) (pow.f64 x #s(literal 5 binary64)))) (.f64 (.f64 #s(literal -1/8 binary64) (.f64 #s(literal -1/24 binary64) (pow.f64 x #s(literal 3 binary64)))) (.f64 x x))) (.f64 (pow.f64 y #s(literal 4 binary64)) x))) #s(literal 1 binary64)) (fma.f64 (.f64 (-.f64 (fma.f64 (/.f64 (-.f64 (fma.f64 #s(literal -1/3840 binary64) (pow.f64 x #s(literal 5 binary64)) (.f64 #s(literal 1/768 binary64) (pow.f64 x #s(literal 5 binary64)))) (.f64 (.f64 #s(literal -1/8 binary64) (.f64 #s(literal -1/24 binary64) (pow.f64 x #s(literal 3 binary64)))) (.f64 x x))) x) #s(literal -2 binary64) (.f64 (.f64 #s(literal 1/24 binary64) (.f64 x x)) (fma.f64 #s(literal 1/24 binary64) (.f64 x x) (.f64 (/.f64 (.f64 #s(literal -1/24 binary64) (pow.f64 x #s(literal 3 binary64))) x) #s(literal -2 binary64))))) (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/1920 binary64))) (.f64 x (/.f64 x (pow.f64 y #s(literal 6 binary64))))) #s(literal -1/24 binary64) (fma.f64 #s(literal -1/24 binary64) (fma.f64 (/.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 x x) (.f64 (/.f64 (.f64 #s(literal -1/24 binary64) (pow.f64 x #s(literal 3 binary64))) x) #s(literal -2 binary64))) (pow.f64 y #s(literal 4 binary64))) (.f64 x x) (.f64 (/.f64 x y) (/.f64 x y))) (fma.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) #s(literal 1/1920 binary64) (/.f64 (fma.f64 (.f64 #s(literal 1/1920 binary64) (fma.f64 #s(literal 1/24 binary64) (.f64 x x) (.f64 (/.f64 (.f64 #s(literal -1/24 binary64) (pow.f64 x #s(literal 3 binary64))) x) #s(literal -2 binary64)))) (pow.f64 x #s(literal 4 binary64)) (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -1/322560 binary64))) (pow.f64 y #s(literal 6 binary64))))))))
#s(approx (tan (/ x (* y 2))) #s(hole binary64 (* -1 (/ (- (+ (* -1/2 x) (* 1/48 (/ (pow x 3) (pow y 2)))) (* 1/16 (/ (pow x 3) (pow y 2)))) y))))
#s(approx (tan (/ x (* y 2))) (/.f64 (fma.f64 (/.f64 #s(literal -1/24 binary64) y) (/.f64 (pow.f64 x #s(literal 3 binary64)) y) (*.f64 #s(literal -1/2 binary64) x)) (neg.f64 y)))
#s(approx (tan (/ x (* y 2))) #s(hole binary64 (* -1 (/ (- (+ (* -1/2 x) (+ (* -1/3840 (/ (pow x 5) (pow y 4))) (* 1/48 (/ (pow x 3) (pow y 2))))) (+ (* -1/8 (/ (* (pow x 2) (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3)))) (pow y 4))) (+ (* -1/768 (/ (pow x 5) (pow y 4))) (* 1/16 (/ (pow x 3) (pow y 2)))))) y))))
#s(approx (tan (/ x (* y 2))) (/.f64 (-.f64 (fma.f64 (pow.f64 x #s(literal 5 binary64)) (/.f64 #s(literal -1/3840 binary64) (pow.f64 y #s(literal 4 binary64))) (fma.f64 (/.f64 #s(literal 1/48 binary64) y) (/.f64 (pow.f64 x #s(literal 3 binary64)) y) (.f64 #s(literal -1/2 binary64) x))) (fma.f64 (/.f64 #s(literal 1/16 binary64) y) (/.f64 (pow.f64 x #s(literal 3 binary64)) y) (/.f64 (fma.f64 (.f64 #s(literal -1/8 binary64) (.f64 #s(literal -1/24 binary64) (pow.f64 x #s(literal 3 binary64)))) (.f64 x x) (*.f64 #s(literal -1/768 binary64) (pow.f64 x #s(literal 5 binary64)))) (pow.f64 y #s(literal 4 binary64))))) (neg.f64 y)))
#s(approx (tan (/ x (* y 2))) #s(hole binary64 (* -1 (/ (- (+ (* -1/2 x) (+ (* -1/3840 (/ (pow x 5) (pow y 4))) (+ (* 1/645120 (/ (pow x 7) (pow y 6))) (* 1/48 (/ (pow x 3) (pow y 2)))))) (+ (* -1/8 (/ (* (pow x 2) (- (* -1/3840 (pow x 5)) (+ (* -1/8 (* (pow x 2) (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3))))) (* -1/768 (pow x 5))))) (pow y 6))) (+ (* -1/8 (/ (* (pow x 2) (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3)))) (pow y 4))) (+ (* -1/768 (/ (pow x 5) (pow y 4))) (+ (* 1/92160 (/ (pow x 7) (pow y 6))) (+ (* 1/384 (/ (* (pow x 4) (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3)))) (pow y 6))) (* 1/16 (/ (pow x 3) (pow y 2))))))))) y))))
#s(approx (tan (/ x (* y 2))) (/.f64 (-.f64 (fma.f64 #s(literal -1/2 binary64) x (fma.f64 (pow.f64 x #s(literal 7 binary64)) (/.f64 #s(literal 1/645120 binary64) (pow.f64 y #s(literal 6 binary64))) (fma.f64 (/.f64 #s(literal 1/48 binary64) y) (/.f64 (pow.f64 x #s(literal 3 binary64)) y) (.f64 (pow.f64 x #s(literal 5 binary64)) (/.f64 #s(literal -1/3840 binary64) (pow.f64 y #s(literal 4 binary64))))))) (fma.f64 (.f64 #s(literal -1/8 binary64) (.f64 x x)) (/.f64 (-.f64 (fma.f64 #s(literal -1/3840 binary64) (pow.f64 x #s(literal 5 binary64)) (.f64 #s(literal 1/768 binary64) (pow.f64 x #s(literal 5 binary64)))) (.f64 (.f64 #s(literal -1/8 binary64) (.f64 #s(literal -1/24 binary64) (pow.f64 x #s(literal 3 binary64)))) (.f64 x x))) (pow.f64 y #s(literal 6 binary64))) (+.f64 (/.f64 (fma.f64 (.f64 #s(literal -1/8 binary64) (.f64 #s(literal -1/24 binary64) (pow.f64 x #s(literal 3 binary64)))) (.f64 x x) (.f64 #s(literal -1/768 binary64) (pow.f64 x #s(literal 5 binary64)))) (pow.f64 y #s(literal 4 binary64))) (fma.f64 (/.f64 #s(literal 1/16 binary64) y) (/.f64 (pow.f64 x #s(literal 3 binary64)) y) (/.f64 (fma.f64 (.f64 #s(literal -1/384 binary64) (pow.f64 x #s(literal 4 binary64))) (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/24 binary64)) (*.f64 #s(literal 1/92160 binary64) (pow.f64 x #s(literal 7 binary64)))) (pow.f64 y #s(literal 6 binary64))))))) (neg.f64 y)))
#s(approx (sin (/ x (* y 2))) #s(hole binary64 (* -1 (/ (+ (* -1/2 x) (* 1/48 (/ (pow x 3) (pow y 2)))) y))))
#s(approx (sin (/ x (* y 2))) (.f64 (/.f64 (fma.f64 (/.f64 #s(literal -1/48 binary64) y) (/.f64 (.f64 x x) y) #s(literal 1/2 binary64)) y) x))
#s(approx (sin (/ x (* y 2))) #s(hole binary64 (* -1 (/ (+ (* -1/2 x) (+ (* -1/3840 (/ (pow x 5) (pow y 4))) (* 1/48 (/ (pow x 3) (pow y 2))))) y))))
#s(approx (sin (/ x (* y 2))) (/.f64 (fma.f64 (pow.f64 x #s(literal 5 binary64)) (/.f64 #s(literal -1/3840 binary64) (pow.f64 y #s(literal 4 binary64))) (fma.f64 (/.f64 #s(literal 1/48 binary64) y) (/.f64 (pow.f64 x #s(literal 3 binary64)) y) (*.f64 #s(literal -1/2 binary64) x))) (neg.f64 y)))
#s(approx (sin (/ x (* y 2))) #s(hole binary64 (* -1 (/ (+ (* -1/2 x) (+ (* -1/3840 (/ (pow x 5) (pow y 4))) (+ (* 1/645120 (/ (pow x 7) (pow y 6))) (* 1/48 (/ (pow x 3) (pow y 2)))))) y))))
#s(approx (sin (/ x (* y 2))) (/.f64 (fma.f64 #s(literal -1/2 binary64) x (fma.f64 (pow.f64 x #s(literal 7 binary64)) (/.f64 #s(literal 1/645120 binary64) (pow.f64 y #s(literal 6 binary64))) (fma.f64 (/.f64 #s(literal 1/48 binary64) y) (/.f64 (pow.f64 x #s(literal 3 binary64)) y) (*.f64 (pow.f64 x #s(literal 5 binary64)) (/.f64 #s(literal -1/3840 binary64) (pow.f64 y #s(literal 4 binary64))))))) (neg.f64 y)))

rewrite79.0ms (1.7%)

Memory

7.6MiB live, 62.5MiB allocated; 30ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Counts

8 → 34

Calls

Call 1

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

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

eval28.0ms (0.6%)

Memory: -14.2MiB live, 32.0MiB allocated; 9ms collecting garbage
Compiler: Compiled 2 729 to 468 computations (82.9% saved)

prune9.0ms (0.2%)

Memory

18.4MiB live, 18.4MiB allocated; 0ms collecting garbage

Pruning

12 alts after pruning (12 fresh and 0 done)

	Pruned	Kept	Total
New	79	12	91
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	80	12	92

Accuracy

58.5%

Counts

92 → 12

Alt Table

Click to see full alt table

Status	Accuracy	Program
	7.1%	(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x y))) (sin.f64 (/.f64 x y))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
	6.5%	(/.f64 (/.f64 (+.f64 (tan.f64 (/.f64 x (.f64 #s(literal 2 binary64) y))) (tan.f64 (PI.f64))) (-.f64 #s(literal 1 binary64) (.f64 (tan.f64 (/.f64 x (.f64 #s(literal 2 binary64) y))) (tan.f64 (PI.f64))))) (sin.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))))
	40.7%	(/.f64 (/.f64 (sin.f64 (/.f64 x (.f64 #s(literal 2 binary64) y))) (cos.f64 (/.f64 x (.f64 #s(literal 2 binary64) y)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
▶	40.7%	(/.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)))))
	40.1%	(/.f64 (/.f64 (neg.f64 (sin.f64 (/.f64 x (.f64 #s(literal 2 binary64) y)))) (cos.f64 (+.f64 (PI.f64) (/.f64 x (.f64 #s(literal 2 binary64) y))))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
▶	40.7%	(/.f64 (tan.f64 (/.f64 x (+.f64 y y))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
	33.3%	(/.f64 (tan.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) #s(approx (sin (/ x ( y 2))) (.f64 (/.f64 (fma.f64 (/.f64 #s(literal -1/48 binary64) y) (/.f64 (.f64 x x) y) #s(literal 1/2 binary64)) y) x)))
▶	36.4%	(/.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))))
	6.3%	(/.f64 (tan.f64 (+.f64 (PI.f64) (/.f64 x (.f64 #s(literal 2 binary64) y)))) (sin.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))))
	36.2%	(/.f64 #s(approx (tan (/ x (* y 2))) (.f64 (/.f64 x y) #s(literal 1/2 binary64))) (sin.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))))
▶	53.2%	#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y)))))
▶	53.7%	#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(literal 1 binary64))

Compiler

Compiled 476 to 334 computations (29.8% saved)

series39.0ms (0.8%)

Memory

14.3MiB live, 59.4MiB allocated; 5ms collecting garbage

Counts

28 → 125

Calls

Call 1

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

Outputs
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(hole binary64 1))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(hole binary64 (+ 1 (* 1/8 (/ (pow x 2) (pow y 2))))))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(hole binary64 (+ 1 (* (pow x 2) (+ (* 5/384 (/ (pow x 2) (pow y 4))) (* 1/8 (/ 1 (pow y 2))))))))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(hole binary64 (+ 1 (* (pow x 2) (+ (* (pow x 2) (+ (* 61/46080 (/ (pow x 2) (pow y 6))) (* 5/384 (/ 1 (pow y 4))))) (* 1/8 (/ 1 (pow y 2))))))))
#s(approx (/ 1 (cos (* -1/2 (/ x y)))) #s(hole binary64 1))
#s(approx (/ 1 (cos (* -1/2 (/ x y)))) #s(hole binary64 (+ 1 (* 1/8 (/ (pow x 2) (pow y 2))))))
#s(approx (/ 1 (cos (* -1/2 (/ x y)))) #s(hole binary64 (+ 1 (* (pow x 2) (+ (* 5/384 (/ (pow x 2) (pow y 4))) (* 1/8 (/ 1 (pow y 2))))))))
#s(approx (/ 1 (cos (* -1/2 (/ x y)))) #s(hole binary64 (+ 1 (* (pow x 2) (+ (* (pow x 2) (+ (* 61/46080 (/ (pow x 2) (pow y 6))) (* 5/384 (/ 1 (pow y 4))))) (* 1/8 (/ 1 (pow y 2))))))))
#s(approx (cos (* -1/2 (/ x y))) #s(hole binary64 1))
#s(approx (cos (* -1/2 (/ x y))) #s(hole binary64 (+ 1 (* -1/8 (/ (pow x 2) (pow y 2))))))
#s(approx (cos (* -1/2 (/ x y))) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 1/384 (/ (pow x 2) (pow y 4))) (* 1/8 (/ 1 (pow y 2))))))))
#s(approx (cos (* -1/2 (/ x y))) #s(hole binary64 (+ 1 (* (pow x 2) (- (* (pow x 2) (+ (* -1/46080 (/ (pow x 2) (pow y 6))) (* 1/384 (/ 1 (pow y 4))))) (* 1/8 (/ 1 (pow y 2))))))))
#s(approx (* -1/2 (/ x y)) #s(hole binary64 (* -1/2 (/ x y))))
#s(approx (/ x y) #s(hole binary64 (/ x y)))
#s(approx x #s(hole binary64 x))
#s(approx (tan (/ x (* y 2))) #s(hole binary64 (* 1/2 (/ x y))))
#s(approx (tan (/ x (* y 2))) #s(hole binary64 (* x (+ (* 1/24 (/ (pow x 2) (pow y 3))) (* 1/2 (/ 1 y))))))
#s(approx (tan (/ x (* y 2))) #s(hole binary64 (* x (+ (* (pow x 2) (+ (* 1/240 (/ (pow x 2) (pow y 5))) (* 1/24 (/ 1 (pow y 3))))) (* 1/2 (/ 1 y))))))
#s(approx (tan (/ x (* y 2))) #s(hole binary64 (* x (+ (* (pow x 2) (+ (* (pow x 2) (+ (* 17/40320 (/ (pow x 2) (pow y 7))) (* 1/240 (/ 1 (pow y 5))))) (* 1/24 (/ 1 (pow y 3))))) (* 1/2 (/ 1 y))))))
#s(approx (/ x (* y 2)) #s(hole binary64 (* 1/2 (/ x y))))
#s(approx (sin (/ x (* y 2))) #s(hole binary64 (* 1/2 (/ x y))))
#s(approx (sin (/ x (* y 2))) #s(hole binary64 (* x (+ (* -1/48 (/ (pow x 2) (pow y 3))) (* 1/2 (/ 1 y))))))
#s(approx (sin (/ x (* y 2))) #s(hole binary64 (* x (+ (* (pow x 2) (- (* 1/3840 (/ (pow x 2) (pow y 5))) (* 1/48 (/ 1 (pow y 3))))) (* 1/2 (/ 1 y))))))
#s(approx (sin (/ x (* y 2))) #s(hole binary64 (* x (+ (* (pow x 2) (- (* (pow x 2) (+ (* -1/645120 (/ (pow x 2) (pow y 7))) (* 1/3840 (/ 1 (pow y 5))))) (* 1/48 (/ 1 (pow y 3))))) (* 1/2 (/ 1 y))))))
#s(approx (* (/ x y) 1/2) #s(hole binary64 (* 1/2 (/ x y))))
#s(approx (/ (tan (/ x (+ y y))) (sin (/ x (* y 2)))) #s(hole binary64 1))
#s(approx (/ (tan (/ x (+ y y))) (sin (/ x (* y 2)))) #s(hole binary64 (+ 1 (* 1/8 (/ (pow x 2) (pow y 2))))))
#s(approx (/ (tan (/ x (+ y 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 (/ (tan (/ x (+ y y))) (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 y))) #s(hole binary64 (* 1/2 (/ x y))))
#s(approx (tan (/ x (+ y y))) #s(hole binary64 (* x (+ (* 1/24 (/ (pow x 2) (pow y 3))) (* 1/2 (/ 1 y))))))
#s(approx (tan (/ x (+ y 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 (tan (/ x (+ y 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 (/ x (+ y y)) #s(hole binary64 (* 1/2 (/ x y))))
#s(approx (/ (/ (sin (/ x y)) (+ 1 (cos (/ x y)))) (sin (/ x (* y 2)))) #s(hole binary64 1))
#s(approx (/ (/ (sin (/ x y)) (+ 1 (cos (/ x y)))) (sin (/ x (* y 2)))) #s(hole binary64 (+ 1 (* 1/8 (/ (pow x 2) (pow y 2))))))
#s(approx (/ (/ (sin (/ x y)) (+ 1 (cos (/ 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 (/ (/ (sin (/ x y)) (+ 1 (cos (/ 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) (- (* 35/9216 (/ 1 (pow y 6))) (* 19/7680 (/ 1 (pow y 6))))))) (* 1/8 (/ 1 (pow y 2))))))))
#s(approx (/ (sin (/ x y)) (+ 1 (cos (/ x y)))) #s(hole binary64 (* 1/2 (/ x y))))
#s(approx (/ (sin (/ x y)) (+ 1 (cos (/ x y)))) #s(hole binary64 (* x (+ (* 1/24 (/ (pow x 2) (pow y 3))) (* 1/2 (/ 1 y))))))
#s(approx (/ (sin (/ x y)) (+ 1 (cos (/ 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 (/ (sin (/ x y)) (+ 1 (cos (/ 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 (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 (+ 1 (cos (/ x y))) #s(hole binary64 2))
#s(approx (+ 1 (cos (/ x y))) #s(hole binary64 (+ 2 (* -1/2 (/ (pow x 2) (pow y 2))))))
#s(approx (+ 1 (cos (/ x y))) #s(hole binary64 (+ 2 (* (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 (+ 2 (* (pow x 2) (- (* (pow x 2) (+ (* -1/720 (/ (pow x 2) (pow y 6))) (* 1/24 (/ 1 (pow y 4))))) (* 1/2 (/ 1 (pow y 2))))))))
#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 (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(hole binary64 (/ 1 (cos (* 1/2 (/ x y))))))
#s(approx (/ 1 (cos (* -1/2 (/ x y)))) #s(hole binary64 (/ 1 (cos (* -1/2 (/ x y))))))
#s(approx (cos (* -1/2 (/ x y))) #s(hole binary64 (cos (* -1/2 (/ x y)))))
#s(approx (tan (/ x (* y 2))) #s(hole binary64 (/ (sin (* 1/2 (/ x y))) (cos (* 1/2 (/ x y))))))
#s(approx (sin (/ x (* y 2))) #s(hole binary64 (sin (* 1/2 (/ x y)))))
#s(approx (/ (tan (/ x (+ y y))) (sin (/ x (* y 2)))) #s(hole binary64 (/ 1 (cos (* 1/2 (/ x y))))))
#s(approx (tan (/ x (+ y y))) #s(hole binary64 (/ (sin (* 1/2 (/ x y))) (cos (* 1/2 (/ x y))))))
#s(approx (/ (/ (sin (/ x y)) (+ 1 (cos (/ x y)))) (sin (/ x (* y 2)))) #s(hole binary64 (/ (sin (/ x y)) (* (sin (* 1/2 (/ x y))) (+ 1 (cos (/ x y)))))))
#s(approx (/ (sin (/ x y)) (+ 1 (cos (/ x y)))) #s(hole binary64 (/ (sin (/ x y)) (+ 1 (cos (/ x y))))))
#s(approx (sin (/ x y)) #s(hole binary64 (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 y #s(hole binary64 y))
#s(approx (* y 2) #s(hole binary64 (* 2 y)))
#s(approx (+ y y) #s(hole binary64 (* 2 y)))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(hole binary64 (- (+ 1 (* 2 (/ (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3))) (* x (pow y 2))))) (* -1/24 (/ (pow x 2) (pow y 2))))))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(hole binary64 (- (+ 1 (+ (* 2 (/ (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3))) (* x (pow y 2)))) (* 2 (/ (- (* 1/3840 (pow x 5)) (+ (* -1/8 (* (pow x 2) (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3))))) (* 1/768 (pow x 5)))) (* x (pow y 4)))))) (+ (* -1/24 (/ (* (pow x 2) (- (* 2 (/ (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3))) x)) (* -1/24 (pow x 2)))) (pow y 4))) (+ (* -1/24 (/ (pow x 2) (pow y 2))) (* 1/1920 (/ (pow x 4) (pow y 4))))))))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(hole binary64 (- (+ 1 (+ (* 2 (/ (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3))) (* x (pow y 2)))) (+ (* 2 (/ (- (* -1/645120 (pow x 7)) (+ (* -1/8 (* (pow x 2) (- (* 1/3840 (pow x 5)) (+ (* -1/8 (* (pow x 2) (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3))))) (* 1/768 (pow x 5)))))) (+ (* -1/92160 (pow x 7)) (* 1/384 (* (pow x 4) (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3)))))))) (* x (pow y 6)))) (* 2 (/ (- (* 1/3840 (pow x 5)) (+ (* -1/8 (* (pow x 2) (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3))))) (* 1/768 (pow x 5)))) (* x (pow y 4))))))) (+ (* -1/24 (/ (* (pow x 2) (- (* 2 (/ (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3))) x)) (* -1/24 (pow x 2)))) (pow y 4))) (+ (* -1/24 (/ (* (pow x 2) (- (* 2 (/ (- (* 1/3840 (pow x 5)) (+ (* -1/8 (* (pow x 2) (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3))))) (* 1/768 (pow x 5)))) x)) (+ (* -1/24 (* (pow x 2) (- (* 2 (/ (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3))) x)) (* -1/24 (pow x 2))))) (* 1/1920 (pow x 4))))) (pow y 6))) (+ (* -1/24 (/ (pow x 2) (pow y 2))) (+ (* -1/322560 (/ (pow x 6) (pow y 6))) (+ (* 1/1920 (/ (* (pow x 4) (- (* 2 (/ (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3))) x)) (* -1/24 (pow x 2)))) (pow y 6))) (* 1/1920 (/ (pow x 4) (pow y 4)))))))))))
#s(approx (/ 1 (cos (* -1/2 (/ x 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 (/ 1 (cos (* -1/2 (/ x 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 (cos (* -1/2 (/ x y))) #s(hole binary64 (+ 1 (+ (* -1/8 (/ (pow x 2) (pow y 2))) (* 1/384 (/ (pow x 4) (pow y 4)))))))
#s(approx (cos (* -1/2 (/ x 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))) #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 y))) (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 y))) (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 y))) (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 y))) #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 y))) #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 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)))) (+ (* -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)) (+ 1 (cos (/ x y)))) (sin (/ x (* y 2)))) #s(hole binary64 (- (+ 1 (* -1/6 (/ (pow x 2) (pow y 2)))) (+ (* -1/4 (/ (pow x 2) (pow y 2))) (* -1/24 (/ (pow x 2) (pow y 2)))))))
#s(approx (/ (/ (sin (/ x y)) (+ 1 (cos (/ x y)))) (sin (/ x (* y 2)))) #s(hole binary64 (- (+ 1 (+ (* -1/6 (/ (pow x 2) (pow y 2))) (* 1/120 (/ (pow x 4) (pow y 4))))) (+ (* -1/4 (/ (pow x 2) (pow y 2))) (+ (* -1/24 (/ (pow x 2) (pow y 2))) (+ (* 1/1920 (/ (pow x 4) (pow y 4))) (+ (* 1/96 (/ (pow x 4) (pow y 4))) (+ (* 1/48 (/ (pow x 4) (pow y 4))) (/ (* (+ (* -1/4 (pow x 3)) (* -1/24 (pow x 3))) (- (* -1/6 (pow x 2)) (+ (* -1/4 (pow x 2)) (* -1/24 (pow x 2))))) (* x (pow y 4)))))))))))
#s(approx (/ (/ (sin (/ x y)) (+ 1 (cos (/ x y)))) (sin (/ x (* y 2)))) #s(hole binary64 (- (+ 1 (+ (* -1/6 (/ (pow x 2) (pow y 2))) (+ (* -1/5040 (/ (pow x 6) (pow y 6))) (* 1/120 (/ (pow x 4) (pow y 4)))))) (+ (* -1/4 (/ (pow x 2) (pow y 2))) (+ (* -1/24 (/ (pow x 2) (pow y 2))) (+ (* -1/1152 (/ (pow x 6) (pow y 6))) (+ (* -1/1440 (/ (pow x 6) (pow y 6))) (+ (* -1/7680 (/ (pow x 6) (pow y 6))) (+ (* -1/322560 (/ (pow x 6) (pow y 6))) (+ (* 1/1920 (/ (pow x 4) (pow y 4))) (+ (* 1/96 (/ (pow x 4) (pow y 4))) (+ (* 1/48 (/ (pow x 4) (pow y 4))) (+ (/ (* (+ (* -1/4 (pow x 3)) (* -1/24 (pow x 3))) (- (* -1/6 (pow x 2)) (+ (* -1/4 (pow x 2)) (* -1/24 (pow x 2))))) (* x (pow y 4))) (+ (/ (* (+ (* -1/4 (pow x 3)) (* -1/24 (pow x 3))) (- (* 1/120 (pow x 4)) (+ (* 1/1920 (pow x 4)) (+ (* 1/96 (pow x 4)) (+ (* 1/48 (pow x 4)) (/ (* (+ (* -1/4 (pow x 3)) (* -1/24 (pow x 3))) (- (* -1/6 (pow x 2)) (+ (* -1/4 (pow x 2)) (* -1/24 (pow x 2))))) x)))))) (* x (pow y 6))) (/ (* (+ (* 1/1920 (pow x 5)) (+ (* 1/96 (pow x 5)) (* 1/48 (pow x 5)))) (- (* -1/6 (pow x 2)) (+ (* -1/4 (pow x 2)) (* -1/24 (pow x 2))))) (* x (pow y 6)))))))))))))))))
#s(approx (/ (sin (/ x y)) (+ 1 (cos (/ x y)))) #s(hole binary64 (/ (- (+ (* -1/12 (/ (pow x 3) (pow y 2))) (* 1/2 x)) (* -1/8 (/ (pow x 3) (pow y 2)))) y)))
#s(approx (/ (sin (/ x y)) (+ 1 (cos (/ x y)))) #s(hole binary64 (/ (- (+ (* -1/12 (/ (pow x 3) (pow y 2))) (+ (* 1/240 (/ (pow x 5) (pow y 4))) (* 1/2 x))) (+ (* -1/4 (/ (* (pow x 2) (- (* -1/12 (pow x 3)) (* -1/8 (pow x 3)))) (pow y 4))) (+ (* -1/8 (/ (pow x 3) (pow y 2))) (* 1/96 (/ (pow x 5) (pow y 4)))))) y)))
#s(approx (/ (sin (/ x y)) (+ 1 (cos (/ x y)))) #s(hole binary64 (/ (- (+ (* -1/12 (/ (pow x 3) (pow y 2))) (+ (* -1/10080 (/ (pow x 7) (pow y 6))) (+ (* 1/240 (/ (pow x 5) (pow y 4))) (* 1/2 x)))) (+ (* -1/4 (/ (* (pow x 2) (- (* -1/12 (pow x 3)) (* -1/8 (pow x 3)))) (pow y 4))) (+ (* -1/4 (/ (* (pow x 2) (- (* 1/240 (pow x 5)) (+ (* -1/4 (* (pow x 2) (- (* -1/12 (pow x 3)) (* -1/8 (pow x 3))))) (* 1/96 (pow x 5))))) (pow y 6))) (+ (* -1/8 (/ (pow x 3) (pow y 2))) (+ (* -1/2880 (/ (pow x 7) (pow y 6))) (+ (* 1/96 (/ (pow x 5) (pow y 4))) (* 1/48 (/ (* (pow x 4) (- (* -1/12 (pow x 3)) (* -1/8 (pow x 3)))) (pow y 6))))))))) y)))
#s(approx (sin (/ x y)) #s(hole binary64 (/ (+ x (* -1/6 (/ (pow x 3) (pow y 2)))) y)))
#s(approx (sin (/ x y)) #s(hole binary64 (/ (+ x (+ (* -1/6 (/ (pow x 3) (pow y 2))) (* 1/120 (/ (pow x 5) (pow y 4))))) y)))
#s(approx (sin (/ x y)) #s(hole binary64 (/ (+ x (+ (* -1/6 (/ (pow x 3) (pow y 2))) (+ (* -1/5040 (/ (pow x 7) (pow y 6))) (* 1/120 (/ (pow x 5) (pow y 4)))))) y)))
#s(approx (+ 1 (cos (/ x y))) #s(hole binary64 (+ 2 (+ (* -1/2 (/ (pow x 2) (pow y 2))) (* 1/24 (/ (pow x 4) (pow y 4)))))))
#s(approx (+ 1 (cos (/ x y))) #s(hole binary64 (+ 2 (+ (* -1/2 (/ (pow x 2) (pow y 2))) (+ (* -1/720 (/ (pow x 6) (pow y 6))) (* 1/24 (/ (pow x 4) (pow y 4))))))))
#s(approx (cos (/ x y)) #s(hole binary64 (+ 1 (+ (* -1/2 (/ (pow x 2) (pow y 2))) (* 1/24 (/ (pow x 4) (pow y 4)))))))
#s(approx (cos (/ x y)) #s(hole binary64 (+ 1 (+ (* -1/2 (/ (pow x 2) (pow y 2))) (+ (* -1/720 (/ (pow x 6) (pow y 6))) (* 1/24 (/ (pow x 4) (pow y 4))))))))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(hole binary64 (- (+ 1 (* -2 (/ (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3))) (* x (pow y 2))))) (* -1/24 (/ (pow x 2) (pow y 2))))))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(hole binary64 (- (+ 1 (+ (* -2 (/ (- (* -1/3840 (pow x 5)) (+ (* -1/8 (* (pow x 2) (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3))))) (* -1/768 (pow x 5)))) (* x (pow y 4)))) (* -2 (/ (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3))) (* x (pow y 2)))))) (+ (* -1/24 (/ (* (pow x 2) (- (* -2 (/ (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3))) x)) (* -1/24 (pow x 2)))) (pow y 4))) (+ (* -1/24 (/ (pow x 2) (pow y 2))) (* 1/1920 (/ (pow x 4) (pow y 4))))))))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(hole binary64 (- (+ 1 (+ (* -2 (/ (- (* -1/3840 (pow x 5)) (+ (* -1/8 (* (pow x 2) (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3))))) (* -1/768 (pow x 5)))) (* x (pow y 4)))) (+ (* -2 (/ (- (* 1/645120 (pow x 7)) (+ (* -1/8 (* (pow x 2) (- (* -1/3840 (pow x 5)) (+ (* -1/8 (* (pow x 2) (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3))))) (* -1/768 (pow x 5)))))) (+ (* 1/92160 (pow x 7)) (* 1/384 (* (pow x 4) (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3)))))))) (* x (pow y 6)))) (* -2 (/ (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3))) (* x (pow y 2))))))) (+ (* -1/24 (/ (* (pow x 2) (- (* -2 (/ (- (* -1/3840 (pow x 5)) (+ (* -1/8 (* (pow x 2) (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3))))) (* -1/768 (pow x 5)))) x)) (+ (* -1/24 (* (pow x 2) (- (* -2 (/ (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3))) x)) (* -1/24 (pow x 2))))) (* 1/1920 (pow x 4))))) (pow y 6))) (+ (* -1/24 (/ (* (pow x 2) (- (* -2 (/ (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3))) x)) (* -1/24 (pow x 2)))) (pow y 4))) (+ (* -1/24 (/ (pow x 2) (pow y 2))) (+ (* -1/322560 (/ (pow x 6) (pow y 6))) (+ (* 1/1920 (/ (* (pow x 4) (- (* -2 (/ (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3))) x)) (* -1/24 (pow x 2)))) (pow y 6))) (* 1/1920 (/ (pow x 4) (pow y 4)))))))))))
#s(approx (tan (/ x (* y 2))) #s(hole binary64 (* -1 (/ (- (+ (* -1/2 x) (* 1/48 (/ (pow x 3) (pow y 2)))) (* 1/16 (/ (pow x 3) (pow y 2)))) y))))
#s(approx (tan (/ x (* y 2))) #s(hole binary64 (* -1 (/ (- (+ (* -1/2 x) (+ (* -1/3840 (/ (pow x 5) (pow y 4))) (* 1/48 (/ (pow x 3) (pow y 2))))) (+ (* -1/8 (/ (* (pow x 2) (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3)))) (pow y 4))) (+ (* -1/768 (/ (pow x 5) (pow y 4))) (* 1/16 (/ (pow x 3) (pow y 2)))))) y))))
#s(approx (tan (/ x (* y 2))) #s(hole binary64 (* -1 (/ (- (+ (* -1/2 x) (+ (* -1/3840 (/ (pow x 5) (pow y 4))) (+ (* 1/645120 (/ (pow x 7) (pow y 6))) (* 1/48 (/ (pow x 3) (pow y 2)))))) (+ (* -1/8 (/ (* (pow x 2) (- (* -1/3840 (pow x 5)) (+ (* -1/8 (* (pow x 2) (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3))))) (* -1/768 (pow x 5))))) (pow y 6))) (+ (* -1/8 (/ (* (pow x 2) (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3)))) (pow y 4))) (+ (* -1/768 (/ (pow x 5) (pow y 4))) (+ (* 1/92160 (/ (pow x 7) (pow y 6))) (+ (* 1/384 (/ (* (pow x 4) (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3)))) (pow y 6))) (* 1/16 (/ (pow x 3) (pow y 2))))))))) y))))
#s(approx (sin (/ x (* y 2))) #s(hole binary64 (* -1 (/ (+ (* -1/2 x) (* 1/48 (/ (pow x 3) (pow y 2)))) y))))
#s(approx (sin (/ x (* y 2))) #s(hole binary64 (* -1 (/ (+ (* -1/2 x) (+ (* -1/3840 (/ (pow x 5) (pow y 4))) (* 1/48 (/ (pow x 3) (pow y 2))))) y))))
#s(approx (sin (/ x (* y 2))) #s(hole binary64 (* -1 (/ (+ (* -1/2 x) (+ (* -1/3840 (/ (pow x 5) (pow y 4))) (+ (* 1/645120 (/ (pow x 7) (pow y 6))) (* 1/48 (/ (pow x 3) (pow y 2)))))) y))))
#s(approx (/ (tan (/ x (+ y y))) (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 y))) (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 y))) (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 y))) #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 y))) #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 y))) #s(hole binary64 (* -1 (/ (- (+ (* -1/2 x) (+ (* -1/3840 (/ (pow x 5) (pow y 4))) (+ (* 1/645120 (/ (pow x 7) (pow y 6))) (* 1/48 (/ (pow x 3) (pow y 2)))))) (+ (* -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)) (+ 1 (cos (/ x y)))) (sin (/ x (* y 2)))) #s(hole binary64 (- (+ 1 (* -1/6 (/ (pow x 2) (pow y 2)))) (* -1 (/ (+ (* 1/24 (pow x 3)) (* 1/4 (pow x 3))) (* x (pow y 2)))))))
#s(approx (/ (/ (sin (/ x y)) (+ 1 (cos (/ x y)))) (sin (/ x (* y 2)))) #s(hole binary64 (- (+ 1 (+ (* -1/6 (/ (pow x 2) (pow y 2))) (* 1/120 (/ (pow x 4) (pow y 4))))) (+ (* -1 (/ (* (+ (* 1/24 (pow x 3)) (* 1/4 (pow x 3))) (- (* -1/6 (pow x 2)) (* -1 (/ (+ (* 1/24 (pow x 3)) (* 1/4 (pow x 3))) x)))) (* x (pow y 4)))) (+ (* -1 (/ (+ (* -1/48 (pow x 5)) (+ (* -1/96 (pow x 5)) (* -1/1920 (pow x 5)))) (* x (pow y 4)))) (* -1 (/ (+ (* 1/24 (pow x 3)) (* 1/4 (pow x 3))) (* x (pow y 2)))))))))
#s(approx (/ (/ (sin (/ x y)) (+ 1 (cos (/ x y)))) (sin (/ x (* y 2)))) #s(hole binary64 (- (+ 1 (+ (* -1/6 (/ (pow x 2) (pow y 2))) (+ (* -1/5040 (/ (pow x 6) (pow y 6))) (* 1/120 (/ (pow x 4) (pow y 4)))))) (+ (* -1 (/ (* (+ (* -1/48 (pow x 5)) (+ (* -1/96 (pow x 5)) (* -1/1920 (pow x 5)))) (- (* -1/6 (pow x 2)) (* -1 (/ (+ (* 1/24 (pow x 3)) (* 1/4 (pow x 3))) x)))) (* x (pow y 6)))) (+ (* -1 (/ (* (+ (* 1/24 (pow x 3)) (* 1/4 (pow x 3))) (- (* -1/6 (pow x 2)) (* -1 (/ (+ (* 1/24 (pow x 3)) (* 1/4 (pow x 3))) x)))) (* x (pow y 4)))) (+ (* -1 (/ (* (+ (* 1/24 (pow x 3)) (* 1/4 (pow x 3))) (- (* 1/120 (pow x 4)) (+ (* -1 (/ (* (+ (* 1/24 (pow x 3)) (* 1/4 (pow x 3))) (- (* -1/6 (pow x 2)) (* -1 (/ (+ (* 1/24 (pow x 3)) (* 1/4 (pow x 3))) x)))) x)) (* -1 (/ (+ (* -1/48 (pow x 5)) (+ (* -1/96 (pow x 5)) (* -1/1920 (pow x 5)))) x))))) (* x (pow y 6)))) (+ (* -1 (/ (+ (* -1/48 (pow x 5)) (+ (* -1/96 (pow x 5)) (* -1/1920 (pow x 5)))) (* x (pow y 4)))) (+ (* -1 (/ (+ (* 1/322560 (pow x 7)) (+ (* 1/7680 (pow x 7)) (+ (* 1/1440 (pow x 7)) (* 1/1152 (pow x 7))))) (* x (pow y 6)))) (* -1 (/ (+ (* 1/24 (pow x 3)) (* 1/4 (pow x 3))) (* x (pow y 2))))))))))))
#s(approx (/ (sin (/ x y)) (+ 1 (cos (/ x y)))) #s(hole binary64 (* -1 (/ (- (+ (* -1/2 x) (* 1/12 (/ (pow x 3) (pow y 2)))) (* 1/8 (/ (pow x 3) (pow y 2)))) y))))
#s(approx (/ (sin (/ x y)) (+ 1 (cos (/ x y)))) #s(hole binary64 (* -1 (/ (- (+ (* -1/2 x) (+ (* -1/240 (/ (pow x 5) (pow y 4))) (* 1/12 (/ (pow x 3) (pow y 2))))) (+ (* -1/4 (/ (* (pow x 2) (- (* 1/12 (pow x 3)) (* 1/8 (pow x 3)))) (pow y 4))) (+ (* -1/96 (/ (pow x 5) (pow y 4))) (* 1/8 (/ (pow x 3) (pow y 2)))))) y))))
#s(approx (/ (sin (/ x y)) (+ 1 (cos (/ x y)))) #s(hole binary64 (* -1 (/ (- (+ (* -1/2 x) (+ (* -1/240 (/ (pow x 5) (pow y 4))) (+ (* 1/10080 (/ (pow x 7) (pow y 6))) (* 1/12 (/ (pow x 3) (pow y 2)))))) (+ (* -1/4 (/ (* (pow x 2) (- (* -1/240 (pow x 5)) (+ (* -1/4 (* (pow x 2) (- (* 1/12 (pow x 3)) (* 1/8 (pow x 3))))) (* -1/96 (pow x 5))))) (pow y 6))) (+ (* -1/4 (/ (* (pow x 2) (- (* 1/12 (pow x 3)) (* 1/8 (pow x 3)))) (pow y 4))) (+ (* -1/96 (/ (pow x 5) (pow y 4))) (+ (* 1/2880 (/ (pow x 7) (pow y 6))) (+ (* 1/48 (/ (* (pow x 4) (- (* 1/12 (pow x 3)) (* 1/8 (pow x 3)))) (pow y 6))) (* 1/8 (/ (pow x 3) (pow y 2))))))))) y))))
#s(approx (sin (/ x y)) #s(hole binary64 (* -1 (/ (+ (* -1 x) (* 1/6 (/ (pow x 3) (pow y 2)))) y))))
#s(approx (sin (/ x y)) #s(hole binary64 (* -1 (/ (+ (* -1 x) (+ (* -1/120 (/ (pow x 5) (pow y 4))) (* 1/6 (/ (pow x 3) (pow y 2))))) y))))
#s(approx (sin (/ x y)) #s(hole binary64 (* -1 (/ (+ (* -1 x) (+ (* -1/120 (/ (pow x 5) (pow y 4))) (+ (* 1/5040 (/ (pow x 7) (pow y 6))) (* 1/6 (/ (pow x 3) (pow y 2)))))) y))))

Calls

6 calls:

Time	Variable		Point	Expression
9.0ms	x	@	inf	((/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) 1 (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/ 1 (cos (* -1/2 (/ x y)))) (cos (* -1/2 (/ x y))) (* -1/2 (/ x y)) -1/2 (/ x y) x y (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (tan (/ x (* y 2))) (/ x (* y 2)) (* y 2) 2 (sin (/ x (* y 2))) (* (/ x y) 1/2) 1/2 (/ (tan (/ x (+ y y))) (sin (/ x (* y 2)))) (tan (/ x (+ y y))) (/ x (+ y y)) (+ y y) (sin (/ x (* y 2))) (/ (/ (sin (/ x y)) (+ 1 (cos (/ x y)))) (sin (/ x (* y 2)))) (/ (sin (/ x y)) (+ 1 (cos (/ x y)))) (sin (/ x y)) (+ 1 (cos (/ x y))) (cos (/ x y)))
8.0ms	y	@	inf	((/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) 1 (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/ 1 (cos (* -1/2 (/ x y)))) (cos (* -1/2 (/ x y))) (* -1/2 (/ x y)) -1/2 (/ x y) x y (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (tan (/ x (* y 2))) (/ x (* y 2)) (* y 2) 2 (sin (/ x (* y 2))) (* (/ x y) 1/2) 1/2 (/ (tan (/ x (+ y y))) (sin (/ x (* y 2)))) (tan (/ x (+ y y))) (/ x (+ y y)) (+ y y) (sin (/ x (* y 2))) (/ (/ (sin (/ x y)) (+ 1 (cos (/ x y)))) (sin (/ x (* y 2)))) (/ (sin (/ x y)) (+ 1 (cos (/ x y)))) (sin (/ x y)) (+ 1 (cos (/ x y))) (cos (/ x y)))
6.0ms	y	@	-inf	((/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) 1 (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/ 1 (cos (* -1/2 (/ x y)))) (cos (* -1/2 (/ x y))) (* -1/2 (/ x y)) -1/2 (/ x y) x y (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (tan (/ x (* y 2))) (/ x (* y 2)) (* y 2) 2 (sin (/ x (* y 2))) (* (/ x y) 1/2) 1/2 (/ (tan (/ x (+ y y))) (sin (/ x (* y 2)))) (tan (/ x (+ y y))) (/ x (+ y y)) (+ y y) (sin (/ x (* y 2))) (/ (/ (sin (/ x y)) (+ 1 (cos (/ x y)))) (sin (/ x (* y 2)))) (/ (sin (/ x y)) (+ 1 (cos (/ x y)))) (sin (/ x y)) (+ 1 (cos (/ x y))) (cos (/ x y)))
4.0ms	x	@	0	((/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) 1 (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/ 1 (cos (* -1/2 (/ x y)))) (cos (* -1/2 (/ x y))) (* -1/2 (/ x y)) -1/2 (/ x y) x y (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (tan (/ x (* y 2))) (/ x (* y 2)) (* y 2) 2 (sin (/ x (* y 2))) (* (/ x y) 1/2) 1/2 (/ (tan (/ x (+ y y))) (sin (/ x (* y 2)))) (tan (/ x (+ y y))) (/ x (+ y y)) (+ y y) (sin (/ x (* y 2))) (/ (/ (sin (/ x y)) (+ 1 (cos (/ x y)))) (sin (/ x (* y 2)))) (/ (sin (/ x y)) (+ 1 (cos (/ x y)))) (sin (/ x y)) (+ 1 (cos (/ x y))) (cos (/ x y)))
4.0ms	x	@	-inf	((/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) 1 (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/ 1 (cos (* -1/2 (/ x y)))) (cos (* -1/2 (/ x y))) (* -1/2 (/ x y)) -1/2 (/ x y) x y (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (tan (/ x (* y 2))) (/ x (* y 2)) (* y 2) 2 (sin (/ x (* y 2))) (* (/ x y) 1/2) 1/2 (/ (tan (/ x (+ y y))) (sin (/ x (* y 2)))) (tan (/ x (+ y y))) (/ x (+ y y)) (+ y y) (sin (/ x (* y 2))) (/ (/ (sin (/ x y)) (+ 1 (cos (/ x y)))) (sin (/ x (* y 2)))) (/ (sin (/ x y)) (+ 1 (cos (/ x y)))) (sin (/ x y)) (+ 1 (cos (/ x y))) (cos (/ x y)))

simplify214.0ms (4.4%)

Memory

-9.1MiB live, 272.9MiB allocated; 85ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	807	5976
1	2391	5686
0	8518	5412

Stop Event

1×	iter limit
1×	node limit

Counts

125 → 125

Calls

Call 1

Inputs
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(hole binary64 1))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(hole binary64 (+ 1 (* 1/8 (/ (pow x 2) (pow y 2))))))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(hole binary64 (+ 1 (* (pow x 2) (+ (* 5/384 (/ (pow x 2) (pow y 4))) (* 1/8 (/ 1 (pow y 2))))))))
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#s(approx (cos (/ x y)) #s(hole binary64 (+ 1 (+ (* -1/2 (/ (pow x 2) (pow y 2))) (* 1/24 (/ (pow x 4) (pow y 4)))))))
#s(approx (cos (/ x y)) #s(hole binary64 (+ 1 (+ (* -1/2 (/ (pow x 2) (pow y 2))) (+ (* -1/720 (/ (pow x 6) (pow y 6))) (* 1/24 (/ (pow x 4) (pow y 4))))))))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(hole binary64 (- (+ 1 (* -2 (/ (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3))) (* x (pow y 2))))) (* -1/24 (/ (pow x 2) (pow y 2))))))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(hole binary64 (- (+ 1 (+ (* -2 (/ (- (* -1/3840 (pow x 5)) (+ (* -1/8 (* (pow x 2) (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3))))) (* -1/768 (pow x 5)))) (* x (pow y 4)))) (* -2 (/ (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3))) (* x (pow y 2)))))) (+ (* -1/24 (/ (* (pow x 2) (- (* -2 (/ (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3))) x)) (* -1/24 (pow x 2)))) (pow y 4))) (+ (* -1/24 (/ (pow x 2) (pow y 2))) (* 1/1920 (/ (pow x 4) (pow y 4))))))))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(hole binary64 (- (+ 1 (+ (* -2 (/ (- (* -1/3840 (pow x 5)) (+ (* -1/8 (* (pow x 2) (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3))))) (* -1/768 (pow x 5)))) (* x (pow y 4)))) (+ (* -2 (/ (- (* 1/645120 (pow x 7)) (+ (* -1/8 (* (pow x 2) (- (* -1/3840 (pow x 5)) (+ (* -1/8 (* (pow x 2) (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3))))) (* -1/768 (pow x 5)))))) (+ (* 1/92160 (pow x 7)) (* 1/384 (* (pow x 4) (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3)))))))) (* x (pow y 6)))) (* -2 (/ (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3))) (* x (pow y 2))))))) (+ (* -1/24 (/ (* (pow x 2) (- (* -2 (/ (- (* -1/3840 (pow x 5)) (+ (* -1/8 (* (pow x 2) (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3))))) (* -1/768 (pow x 5)))) x)) (+ (* -1/24 (* (pow x 2) (- (* -2 (/ (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3))) x)) (* -1/24 (pow x 2))))) (* 1/1920 (pow x 4))))) (pow y 6))) (+ (* -1/24 (/ (* (pow x 2) (- (* -2 (/ (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3))) x)) (* -1/24 (pow x 2)))) (pow y 4))) (+ (* -1/24 (/ (pow x 2) (pow y 2))) (+ (* -1/322560 (/ (pow x 6) (pow y 6))) (+ (* 1/1920 (/ (* (pow x 4) (- (* -2 (/ (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3))) x)) (* -1/24 (pow x 2)))) (pow y 6))) (* 1/1920 (/ (pow x 4) (pow y 4)))))))))))
#s(approx (tan (/ x (* y 2))) #s(hole binary64 (* -1 (/ (- (+ (* -1/2 x) (* 1/48 (/ (pow x 3) (pow y 2)))) (* 1/16 (/ (pow x 3) (pow y 2)))) y))))
#s(approx (tan (/ x (* y 2))) #s(hole binary64 (* -1 (/ (- (+ (* -1/2 x) (+ (* -1/3840 (/ (pow x 5) (pow y 4))) (* 1/48 (/ (pow x 3) (pow y 2))))) (+ (* -1/8 (/ (* (pow x 2) (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3)))) (pow y 4))) (+ (* -1/768 (/ (pow x 5) (pow y 4))) (* 1/16 (/ (pow x 3) (pow y 2)))))) y))))
#s(approx (tan (/ x (* y 2))) #s(hole binary64 (* -1 (/ (- (+ (* -1/2 x) (+ (* -1/3840 (/ (pow x 5) (pow y 4))) (+ (* 1/645120 (/ (pow x 7) (pow y 6))) (* 1/48 (/ (pow x 3) (pow y 2)))))) (+ (* -1/8 (/ (* (pow x 2) (- (* -1/3840 (pow x 5)) (+ (* -1/8 (* (pow x 2) (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3))))) (* -1/768 (pow x 5))))) (pow y 6))) (+ (* -1/8 (/ (* (pow x 2) (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3)))) (pow y 4))) (+ (* -1/768 (/ (pow x 5) (pow y 4))) (+ (* 1/92160 (/ (pow x 7) (pow y 6))) (+ (* 1/384 (/ (* (pow x 4) (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3)))) (pow y 6))) (* 1/16 (/ (pow x 3) (pow y 2))))))))) y))))
#s(approx (sin (/ x (* y 2))) #s(hole binary64 (* -1 (/ (+ (* -1/2 x) (* 1/48 (/ (pow x 3) (pow y 2)))) y))))
#s(approx (sin (/ x (* y 2))) #s(hole binary64 (* -1 (/ (+ (* -1/2 x) (+ (* -1/3840 (/ (pow x 5) (pow y 4))) (* 1/48 (/ (pow x 3) (pow y 2))))) y))))
#s(approx (sin (/ x (* y 2))) #s(hole binary64 (* -1 (/ (+ (* -1/2 x) (+ (* -1/3840 (/ (pow x 5) (pow y 4))) (+ (* 1/645120 (/ (pow x 7) (pow y 6))) (* 1/48 (/ (pow x 3) (pow y 2)))))) y))))
#s(approx (/ (tan (/ x (+ y y))) (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 y))) (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 y))) (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 y))) #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 y))) #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 y))) #s(hole binary64 (* -1 (/ (- (+ (* -1/2 x) (+ (* -1/3840 (/ (pow x 5) (pow y 4))) (+ (* 1/645120 (/ (pow x 7) (pow y 6))) (* 1/48 (/ (pow x 3) (pow y 2)))))) (+ (* -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)) (+ 1 (cos (/ x y)))) (sin (/ x (* y 2)))) #s(hole binary64 (- (+ 1 (* -1/6 (/ (pow x 2) (pow y 2)))) (* -1 (/ (+ (* 1/24 (pow x 3)) (* 1/4 (pow x 3))) (* x (pow y 2)))))))
#s(approx (/ (/ (sin (/ x y)) (+ 1 (cos (/ x y)))) (sin (/ x (* y 2)))) #s(hole binary64 (- (+ 1 (+ (* -1/6 (/ (pow x 2) (pow y 2))) (* 1/120 (/ (pow x 4) (pow y 4))))) (+ (* -1 (/ (* (+ (* 1/24 (pow x 3)) (* 1/4 (pow x 3))) (- (* -1/6 (pow x 2)) (* -1 (/ (+ (* 1/24 (pow x 3)) (* 1/4 (pow x 3))) x)))) (* x (pow y 4)))) (+ (* -1 (/ (+ (* -1/48 (pow x 5)) (+ (* -1/96 (pow x 5)) (* -1/1920 (pow x 5)))) (* x (pow y 4)))) (* -1 (/ (+ (* 1/24 (pow x 3)) (* 1/4 (pow x 3))) (* x (pow y 2)))))))))
#s(approx (/ (/ (sin (/ x y)) (+ 1 (cos (/ x y)))) (sin (/ x (* y 2)))) #s(hole binary64 (- (+ 1 (+ (* -1/6 (/ (pow x 2) (pow y 2))) (+ (* -1/5040 (/ (pow x 6) (pow y 6))) (* 1/120 (/ (pow x 4) (pow y 4)))))) (+ (* -1 (/ (* (+ (* -1/48 (pow x 5)) (+ (* -1/96 (pow x 5)) (* -1/1920 (pow x 5)))) (- (* -1/6 (pow x 2)) (* -1 (/ (+ (* 1/24 (pow x 3)) (* 1/4 (pow x 3))) x)))) (* x (pow y 6)))) (+ (* -1 (/ (* (+ (* 1/24 (pow x 3)) (* 1/4 (pow x 3))) (- (* -1/6 (pow x 2)) (* -1 (/ (+ (* 1/24 (pow x 3)) (* 1/4 (pow x 3))) x)))) (* x (pow y 4)))) (+ (* -1 (/ (* (+ (* 1/24 (pow x 3)) (* 1/4 (pow x 3))) (- (* 1/120 (pow x 4)) (+ (* -1 (/ (* (+ (* 1/24 (pow x 3)) (* 1/4 (pow x 3))) (- (* -1/6 (pow x 2)) (* -1 (/ (+ (* 1/24 (pow x 3)) (* 1/4 (pow x 3))) x)))) x)) (* -1 (/ (+ (* -1/48 (pow x 5)) (+ (* -1/96 (pow x 5)) (* -1/1920 (pow x 5)))) x))))) (* x (pow y 6)))) (+ (* -1 (/ (+ (* -1/48 (pow x 5)) (+ (* -1/96 (pow x 5)) (* -1/1920 (pow x 5)))) (* x (pow y 4)))) (+ (* -1 (/ (+ (* 1/322560 (pow x 7)) (+ (* 1/7680 (pow x 7)) (+ (* 1/1440 (pow x 7)) (* 1/1152 (pow x 7))))) (* x (pow y 6)))) (* -1 (/ (+ (* 1/24 (pow x 3)) (* 1/4 (pow x 3))) (* x (pow y 2))))))))))))
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Outputs
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(hole binary64 1))
#s(approx (/ (/ (sin (/ x y)) (+ 1 (cos (/ x y)))) (sin (/ x (* y 2)))) #s(literal 1 binary64))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(hole binary64 (+ 1 (* 1/8 (/ (pow x 2) (pow y 2))))))
#s(approx (/ (/ (sin (/ x y)) (+ 1 (cos (/ x y)))) (sin (/ x (* y 2)))) (fma.f64 (/.f64 #s(literal 1/8 binary64) y) (/.f64 (*.f64 x x) y) #s(literal 1 binary64)))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(hole binary64 (+ 1 (* (pow x 2) (+ (* 5/384 (/ (pow x 2) (pow y 4))) (* 1/8 (/ 1 (pow y 2))))))))
#s(approx (/ (/ (sin (/ x y)) (+ 1 (cos (/ x y)))) (sin (/ x (* y 2)))) (fma.f64 (fma.f64 (/.f64 (.f64 x x) (pow.f64 y #s(literal 4 binary64))) #s(literal 5/384 binary64) (/.f64 #s(literal 1/8 binary64) (.f64 y y))) (*.f64 x x) #s(literal 1 binary64)))
#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 (/ (/ (sin (/ x y)) (+ 1 (cos (/ x y)))) (sin (/ x (* y 2)))) (fma.f64 (fma.f64 (fma.f64 (/.f64 (.f64 x x) (pow.f64 y #s(literal 6 binary64))) #s(literal 61/46080 binary64) (/.f64 #s(literal 5/384 binary64) (pow.f64 y #s(literal 4 binary64)))) (.f64 x x) (/.f64 #s(literal 1/8 binary64) (.f64 y y))) (.f64 x x) #s(literal 1 binary64)))
#s(approx (/ 1 (cos (* -1/2 (/ x y)))) #s(hole binary64 1))
#s(approx (/ 1 (cos (* -1/2 (/ x y)))) #s(literal 1 binary64))
#s(approx (/ 1 (cos (* -1/2 (/ x y)))) #s(hole binary64 (+ 1 (* 1/8 (/ (pow x 2) (pow y 2))))))
#s(approx (/ 1 (cos (* -1/2 (/ x y)))) (fma.f64 (/.f64 #s(literal 1/8 binary64) y) (/.f64 (*.f64 x x) y) #s(literal 1 binary64)))
#s(approx (/ 1 (cos (* -1/2 (/ x y)))) #s(hole binary64 (+ 1 (* (pow x 2) (+ (* 5/384 (/ (pow x 2) (pow y 4))) (* 1/8 (/ 1 (pow y 2))))))))
#s(approx (/ 1 (cos (* -1/2 (/ x y)))) (fma.f64 (fma.f64 (/.f64 (.f64 x x) (pow.f64 y #s(literal 4 binary64))) #s(literal 5/384 binary64) (/.f64 #s(literal 1/8 binary64) (.f64 y y))) (*.f64 x x) #s(literal 1 binary64)))
#s(approx (/ 1 (cos (* -1/2 (/ x y)))) #s(hole binary64 (+ 1 (* (pow x 2) (+ (* (pow x 2) (+ (* 61/46080 (/ (pow x 2) (pow y 6))) (* 5/384 (/ 1 (pow y 4))))) (* 1/8 (/ 1 (pow y 2))))))))
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#s(approx (cos (* -1/2 (/ x y))) #s(hole binary64 (+ 1 (* -1/8 (/ (pow x 2) (pow y 2))))))
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#s(approx (cos (* -1/2 (/ x y))) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 1/384 (/ (pow x 2) (pow y 4))) (* 1/8 (/ 1 (pow y 2))))))))
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#s(approx (cos (* -1/2 (/ x y))) #s(hole binary64 (+ 1 (* (pow x 2) (- (* (pow x 2) (+ (* -1/46080 (/ (pow x 2) (pow y 6))) (* 1/384 (/ 1 (pow y 4))))) (* 1/8 (/ 1 (pow y 2))))))))
#s(approx (cos (* -1/2 (/ x y))) (fma.f64 (-.f64 (.f64 (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 x x)) (/.f64 #s(literal 1/8 binary64) (.f64 y y))) (*.f64 x x) #s(literal 1 binary64)))
#s(approx (* -1/2 (/ x y)) #s(hole binary64 (* -1/2 (/ x y))))
#s(approx (* -1/2 (/ x y)) (*.f64 (/.f64 x y) #s(literal -1/2 binary64)))
#s(approx (/ x y) #s(hole binary64 (/ x y)))
#s(approx (/ x y) (/.f64 x y))
#s(approx x #s(hole binary64 x))
#s(approx x x)
#s(approx (tan (/ x (* y 2))) #s(hole binary64 (* 1/2 (/ x y))))
#s(approx (/ (sin (/ x y)) (+ 1 (cos (/ x y)))) (*.f64 #s(literal 1/2 binary64) (/.f64 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 (/ (sin (/ x y)) (+ 1 (cos (/ x y)))) (.f64 (fma.f64 (/.f64 (.f64 x x) (pow.f64 y #s(literal 3 binary64))) #s(literal 1/24 binary64) (/.f64 #s(literal 1/2 binary64) y)) x))
#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 (/ (sin (/ x y)) (+ 1 (cos (/ x y)))) (fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (/.f64 (.f64 x x) (pow.f64 y #s(literal 5 binary64))) #s(literal 1/240 binary64) (/.f64 #s(literal 1/24 binary64) (pow.f64 y #s(literal 3 binary64)))) (.f64 x (/.f64 #s(literal 1/2 binary64) y))))
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#s(approx (/ x (* y 2)) #s(hole binary64 (* 1/2 (/ x y))))
#s(approx (/ x (+ y y)) (*.f64 #s(literal 1/2 binary64) (/.f64 x y)))
#s(approx (sin (/ x (* y 2))) #s(hole binary64 (* 1/2 (/ x y))))
#s(approx (sin (/ x (* y 2))) (*.f64 #s(literal 1/2 binary64) (/.f64 x y)))
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#s(approx (sin (/ x (* y 2))) (.f64 (fma.f64 #s(literal -1/48 binary64) (/.f64 (.f64 x x) (pow.f64 y #s(literal 3 binary64))) (/.f64 #s(literal 1/2 binary64) y)) x))
#s(approx (sin (/ x (* y 2))) #s(hole binary64 (* x (+ (* (pow x 2) (- (* 1/3840 (/ (pow x 2) (pow y 5))) (* 1/48 (/ 1 (pow y 3))))) (* 1/2 (/ 1 y))))))
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#s(approx (sin (/ x (* y 2))) (fma.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (.f64 (fma.f64 #s(literal -1/645120 binary64) (/.f64 (.f64 x x) (pow.f64 y #s(literal 7 binary64))) (/.f64 #s(literal 1/3840 binary64) (pow.f64 y #s(literal 5 binary64)))) (.f64 x x)) (/.f64 #s(literal 1/48 binary64) (pow.f64 y #s(literal 3 binary64)))) (.f64 x (/.f64 #s(literal 1/2 binary64) y))))
#s(approx (* (/ x y) 1/2) #s(hole binary64 (* 1/2 (/ x y))))
#s(approx (* (/ x y) 1/2) (*.f64 #s(literal 1/2 binary64) (/.f64 x y)))
#s(approx (/ (tan (/ x (+ y y))) (sin (/ x (* y 2)))) #s(hole binary64 1))
#s(approx (/ (/ (sin (/ x y)) (+ 1 (cos (/ x y)))) (sin (/ x (* y 2)))) #s(literal 1 binary64))
#s(approx (/ (tan (/ x (+ y y))) (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)) (+ 1 (cos (/ x y)))) #s(hole binary64 (* -1 (/ (- (+ (* -1/2 x) (* 1/12 (/ (pow x 3) (pow y 2)))) (* 1/8 (/ (pow x 3) (pow y 2)))) y))))
#s(approx (/ (sin (/ x y)) (+ 1 (cos (/ x y)))) (/.f64 (fma.f64 #s(literal -1/2 binary64) x (.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (.f64 y y)) #s(literal -1/24 binary64))) (neg.f64 y)))
#s(approx (/ (sin (/ x y)) (+ 1 (cos (/ x y)))) #s(hole binary64 (* -1 (/ (- (+ (* -1/2 x) (+ (* -1/240 (/ (pow x 5) (pow y 4))) (* 1/12 (/ (pow x 3) (pow y 2))))) (+ (* -1/4 (/ (* (pow x 2) (- (* 1/12 (pow x 3)) (* 1/8 (pow x 3)))) (pow y 4))) (+ (* -1/96 (/ (pow x 5) (pow y 4))) (* 1/8 (/ (pow x 3) (pow y 2)))))) y))))
#s(approx (/ (sin (/ x y)) (+ 1 (cos (/ x y)))) (/.f64 (-.f64 (fma.f64 (/.f64 #s(literal 1/12 binary64) y) (/.f64 (pow.f64 x #s(literal 3 binary64)) y) (fma.f64 #s(literal -1/240 binary64) (/.f64 (pow.f64 x #s(literal 5 binary64)) (pow.f64 y #s(literal 4 binary64))) (.f64 #s(literal -1/2 binary64) x))) (-.f64 (/.f64 (fma.f64 (.f64 (.f64 #s(literal -1/4 binary64) (.f64 x x)) #s(literal -1/24 binary64)) (pow.f64 x #s(literal 3 binary64)) (.f64 #s(literal -1/96 binary64) (pow.f64 x #s(literal 5 binary64)))) (pow.f64 y #s(literal 4 binary64))) (.f64 (/.f64 #s(literal -1/8 binary64) y) (/.f64 (pow.f64 x #s(literal 3 binary64)) y)))) (neg.f64 y)))
#s(approx (/ (sin (/ x y)) (+ 1 (cos (/ x y)))) #s(hole binary64 (* -1 (/ (- (+ (* -1/2 x) (+ (* -1/240 (/ (pow x 5) (pow y 4))) (+ (* 1/10080 (/ (pow x 7) (pow y 6))) (* 1/12 (/ (pow x 3) (pow y 2)))))) (+ (* -1/4 (/ (* (pow x 2) (- (* -1/240 (pow x 5)) (+ (* -1/4 (* (pow x 2) (- (* 1/12 (pow x 3)) (* 1/8 (pow x 3))))) (* -1/96 (pow x 5))))) (pow y 6))) (+ (* -1/4 (/ (* (pow x 2) (- (* 1/12 (pow x 3)) (* 1/8 (pow x 3)))) (pow y 4))) (+ (* -1/96 (/ (pow x 5) (pow y 4))) (+ (* 1/2880 (/ (pow x 7) (pow y 6))) (+ (* 1/48 (/ (* (pow x 4) (- (* 1/12 (pow x 3)) (* 1/8 (pow x 3)))) (pow y 6))) (* 1/8 (/ (pow x 3) (pow y 2))))))))) y))))
#s(approx (/ (sin (/ x y)) (+ 1 (cos (/ x y)))) (/.f64 (-.f64 (fma.f64 #s(literal -1/2 binary64) x (fma.f64 #s(literal 1/10080 binary64) (/.f64 (pow.f64 x #s(literal 7 binary64)) (pow.f64 y #s(literal 6 binary64))) (fma.f64 (/.f64 #s(literal 1/12 binary64) y) (/.f64 (pow.f64 x #s(literal 3 binary64)) y) (/.f64 (.f64 #s(literal -1/240 binary64) (pow.f64 x #s(literal 5 binary64))) (pow.f64 y #s(literal 4 binary64)))))) (fma.f64 (/.f64 (.f64 (-.f64 (.f64 #s(literal -1/240 binary64) (pow.f64 x #s(literal 5 binary64))) (fma.f64 (.f64 (.f64 #s(literal -1/4 binary64) (.f64 x x)) #s(literal -1/24 binary64)) (pow.f64 x #s(literal 3 binary64)) (.f64 #s(literal -1/96 binary64) (pow.f64 x #s(literal 5 binary64))))) (.f64 x x)) (pow.f64 y #s(literal 6 binary64))) #s(literal -1/4 binary64) (+.f64 (+.f64 (/.f64 (fma.f64 (.f64 (.f64 #s(literal -1/4 binary64) (.f64 x x)) #s(literal -1/24 binary64)) (pow.f64 x #s(literal 3 binary64)) (.f64 #s(literal -1/96 binary64) (pow.f64 x #s(literal 5 binary64)))) (pow.f64 y #s(literal 4 binary64))) (/.f64 (fma.f64 #s(literal 1/2880 binary64) (pow.f64 x #s(literal 7 binary64)) (.f64 (.f64 #s(literal 1/48 binary64) (.f64 #s(literal -1/24 binary64) (pow.f64 x #s(literal 3 binary64)))) (pow.f64 x #s(literal 4 binary64)))) (pow.f64 y #s(literal 6 binary64)))) (.f64 (/.f64 #s(literal 1/8 binary64) y) (/.f64 (pow.f64 x #s(literal 3 binary64)) y))))) (neg.f64 y)))
#s(approx (sin (/ x y)) #s(hole binary64 (* -1 (/ (+ (* -1 x) (* 1/6 (/ (pow x 3) (pow y 2)))) y))))
#s(approx (sin (/ x y)) (/.f64 (fma.f64 (/.f64 #s(literal 1/6 binary64) y) (/.f64 (pow.f64 x #s(literal 3 binary64)) y) (neg.f64 x)) (neg.f64 y)))
#s(approx (sin (/ x y)) #s(hole binary64 (* -1 (/ (+ (* -1 x) (+ (* -1/120 (/ (pow x 5) (pow y 4))) (* 1/6 (/ (pow x 3) (pow y 2))))) y))))
#s(approx (sin (/ x y)) (/.f64 (fma.f64 (/.f64 #s(literal 1/6 binary64) y) (/.f64 (pow.f64 x #s(literal 3 binary64)) y) (fma.f64 #s(literal -1/120 binary64) (/.f64 (pow.f64 x #s(literal 5 binary64)) (pow.f64 y #s(literal 4 binary64))) (neg.f64 x))) (neg.f64 y)))
#s(approx (sin (/ x y)) #s(hole binary64 (* -1 (/ (+ (* -1 x) (+ (* -1/120 (/ (pow x 5) (pow y 4))) (+ (* 1/5040 (/ (pow x 7) (pow y 6))) (* 1/6 (/ (pow x 3) (pow y 2)))))) y))))
#s(approx (sin (/ x y)) (/.f64 (fma.f64 #s(literal -1/120 binary64) (/.f64 (pow.f64 x #s(literal 5 binary64)) (pow.f64 y #s(literal 4 binary64))) (+.f64 (fma.f64 (/.f64 #s(literal 1/6 binary64) y) (/.f64 (pow.f64 x #s(literal 3 binary64)) y) (/.f64 (*.f64 #s(literal 1/5040 binary64) (pow.f64 x #s(literal 7 binary64))) (pow.f64 y #s(literal 6 binary64)))) (neg.f64 x))) (neg.f64 y)))

rewrite32.0ms (0.7%)

Memory

-11.2MiB live, 79.2MiB allocated; 5ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	33	191
0	54	181
0	136	181

Stop Event

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

Counts

28 → 71

Calls

Call 1

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

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

eval30.0ms (0.6%)

Memory: 15.0MiB live, 106.6MiB allocated; 15ms collecting garbage
Compiler: Compiled 7 013 to 943 computations (86.6% saved)

prune19.0ms (0.4%)

Memory

2.3MiB live, 45.0MiB allocated; 6ms collecting garbage

Pruning

17 alts after pruning (15 fresh and 2 done)

	Pruned	Kept	Total
New	195	9	204
Fresh	1	6	7
Picked	3	2	5
Done	0	0	0
Total	199	17	216

Accuracy

58.9%

Counts

216 → 17

Alt Table

Click to see full alt table

Status	Accuracy	Program
	7.1%	(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x y))) (sin.f64 (/.f64 x y))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
	6.5%	(/.f64 (/.f64 (+.f64 (tan.f64 (/.f64 x (.f64 #s(literal 2 binary64) y))) (tan.f64 (PI.f64))) (-.f64 #s(literal 1 binary64) (.f64 (tan.f64 (/.f64 x (.f64 #s(literal 2 binary64) y))) (tan.f64 (PI.f64))))) (sin.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))))
	40.7%	(/.f64 (/.f64 (sin.f64 (/.f64 x (.f64 #s(literal 2 binary64) y))) (cos.f64 (/.f64 x (.f64 #s(literal 2 binary64) y)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
	40.7%	(/.f64 (/.f64 (sin.f64 (/.f64 x y)) (/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 (/.f64 x y)) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (.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 (*.f64 y #s(literal 2 binary64)))))
	40.2%	(/.f64 (/.f64 (sin.f64 (/.f64 x y)) (+.f64 #s(literal 1 binary64) (sin.f64 (+.f64 (/.f64 x y) (/.f64 (PI.f64) #s(literal 2 binary64)))))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
▶	40.7%	(/.f64 (/.f64 (sin.f64 (/.f64 x y)) (+.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x y)))) (sin.f64 (/.f64 x (+.f64 y y))))
▶	40.1%	(/.f64 (/.f64 (neg.f64 (sin.f64 (/.f64 x (.f64 #s(literal 2 binary64) y)))) (cos.f64 (+.f64 (PI.f64) (/.f64 x (.f64 #s(literal 2 binary64) y))))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
	16.3%	(/.f64 (tan.f64 (/.f64 x (+.f64 y y))) (sin.f64 (/.f64 x (/.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (fma.f64 y y (-.f64 (.f64 y y) (.f64 y y)))))))
▶	40.7%	(/.f64 (tan.f64 (/.f64 x (+.f64 y y))) (sin.f64 (/.f64 x (+.f64 y y))))
	36.4%	(/.f64 (tan.f64 (/.f64 x (+.f64 y y))) #s(approx (sin (/ x (* y 2))) (*.f64 (/.f64 x y) #s(literal 1/2 binary64))))
	6.3%	(/.f64 (tan.f64 (+.f64 (PI.f64) (/.f64 x (.f64 #s(literal 2 binary64) y)))) (sin.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))))
	36.2%	(/.f64 #s(approx (tan (/ x (* y 2))) (.f64 (/.f64 x y) #s(literal 1/2 binary64))) (sin.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))))
	40.4%	#s(approx (/ (/ (sin (/ x y)) (+ 1 (cos (/ x y)))) (sin (/ x (* y 2)))) (/.f64 (sin.f64 (/.f64 x y)) (.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) (/.f64 x y))) (+.f64 (cos.f64 (/.f64 x y)) #s(literal 1 binary64)))))
▶	53.0%	#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (sin.f64 (fma.f64 (/.f64 x y) #s(literal -1/2 binary64) (/.f64 (PI.f64) #s(literal 2 binary64))))))
✓	53.2%	#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y)))))
▶	46.8%	#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) #s(approx (cos (* -1/2 (/ x y))) (fma.f64 (/.f64 #s(literal -1/8 binary64) y) (/.f64 (*.f64 x x) y) #s(literal 1 binary64)))))
✓	53.7%	#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(literal 1 binary64))

Compiler

Compiled 751 to 487 computations (35.2% saved)

series62.0ms (1.3%)

Memory

31.5MiB live, 121.9MiB allocated; 12ms collecting garbage

Counts

41 → 219

Calls

Call 1

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

Outputs
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(hole binary64 1))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(hole binary64 (+ 1 (* 1/8 (/ (pow x 2) (pow y 2))))))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(hole binary64 (+ 1 (* (pow x 2) (+ (* 5/384 (/ (pow x 2) (pow y 4))) (* 1/8 (/ 1 (pow y 2))))))))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(hole binary64 (+ 1 (* (pow x 2) (+ (* (pow x 2) (+ (* 61/46080 (/ (pow x 2) (pow y 6))) (* 5/384 (/ 1 (pow y 4))))) (* 1/8 (/ 1 (pow y 2))))))))
#s(approx (/ 1 (sin (+ (* (/ x y) -1/2) (/ (PI) 2)))) #s(hole binary64 (/ 1 (sin (* 1/2 (PI))))))
#s(approx (/ 1 (sin (+ (* (/ x y) -1/2) (/ (PI) 2)))) #s(hole binary64 (+ (* 1/2 (/ (* x (cos (* 1/2 (PI)))) (* y (pow (sin (* 1/2 (PI))) 2)))) (/ 1 (sin (* 1/2 (PI)))))))
#s(approx (/ 1 (sin (+ (* (/ x y) -1/2) (/ (PI) 2)))) #s(hole binary64 (+ (* x (- (* x (- (* 1/8 (/ 1 (* (pow y 2) (sin (* 1/2 (PI)))))) (* -1/4 (/ (pow (cos (* 1/2 (PI))) 2) (* (pow y 2) (pow (sin (* 1/2 (PI))) 3)))))) (* -1/2 (/ (cos (* 1/2 (PI))) (* y (pow (sin (* 1/2 (PI))) 2)))))) (/ 1 (sin (* 1/2 (PI)))))))
#s(approx (/ 1 (sin (+ (* (/ x y) -1/2) (/ (PI) 2)))) #s(hole binary64 (+ (* x (- (* x (- (+ (* -1 (* x (+ (* -1/2 (/ (* (cos (* 1/2 (PI))) (- (* 1/8 (/ 1 (* (pow y 2) (sin (* 1/2 (PI)))))) (* -1/4 (/ (pow (cos (* 1/2 (PI))) 2) (* (pow y 2) (pow (sin (* 1/2 (PI))) 3)))))) (* y (sin (* 1/2 (PI)))))) (+ (* -1/16 (/ (cos (* 1/2 (PI))) (* (pow y 3) (pow (sin (* 1/2 (PI))) 2)))) (* 1/48 (/ (cos (* 1/2 (PI))) (* (pow y 3) (pow (sin (* 1/2 (PI))) 2)))))))) (* 1/8 (/ 1 (* (pow y 2) (sin (* 1/2 (PI))))))) (* -1/4 (/ (pow (cos (* 1/2 (PI))) 2) (* (pow y 2) (pow (sin (* 1/2 (PI))) 3)))))) (* -1/2 (/ (cos (* 1/2 (PI))) (* y (pow (sin (* 1/2 (PI))) 2)))))) (/ 1 (sin (* 1/2 (PI)))))))
#s(approx (sin (+ (* (/ x y) -1/2) (/ (PI) 2))) #s(hole binary64 (sin (* 1/2 (PI)))))
#s(approx (sin (+ (* (/ x y) -1/2) (/ (PI) 2))) #s(hole binary64 (+ (sin (* 1/2 (PI))) (* -1/2 (/ (* x (cos (* 1/2 (PI)))) y)))))
#s(approx (sin (+ (* (/ x y) -1/2) (/ (PI) 2))) #s(hole binary64 (+ (sin (* 1/2 (PI))) (* x (+ (* -1/2 (/ (cos (* 1/2 (PI))) y)) (* -1/8 (/ (* x (sin (* 1/2 (PI)))) (pow y 2))))))))
#s(approx (sin (+ (* (/ x y) -1/2) (/ (PI) 2))) #s(hole binary64 (+ (sin (* 1/2 (PI))) (* x (+ (* -1/2 (/ (cos (* 1/2 (PI))) y)) (* x (+ (* -1/8 (/ (sin (* 1/2 (PI))) (pow y 2))) (* 1/48 (/ (* x (cos (* 1/2 (PI)))) (pow y 3))))))))))
#s(approx (+ (* (/ x y) -1/2) (/ (PI) 2)) #s(hole binary64 (* 1/2 (PI))))
#s(approx (+ (* (/ x y) -1/2) (/ (PI) 2)) #s(hole binary64 (+ (* -1/2 (/ x y)) (* 1/2 (PI)))))
#s(approx (/ x y) #s(hole binary64 (/ x y)))
#s(approx x #s(hole binary64 x))
#s(approx (/ 1 (cos (* -1/2 (/ x y)))) #s(hole binary64 1))
#s(approx (/ 1 (cos (* -1/2 (/ x y)))) #s(hole binary64 (+ 1 (* 1/8 (/ (pow x 2) (pow y 2))))))
#s(approx (/ 1 (cos (* -1/2 (/ x y)))) #s(hole binary64 (+ 1 (* (pow x 2) (+ (* 5/384 (/ (pow x 2) (pow y 4))) (* 1/8 (/ 1 (pow y 2))))))))
#s(approx (/ 1 (cos (* -1/2 (/ x y)))) #s(hole binary64 (+ 1 (* (pow x 2) (+ (* (pow x 2) (+ (* 61/46080 (/ (pow x 2) (pow y 6))) (* 5/384 (/ 1 (pow y 4))))) (* 1/8 (/ 1 (pow y 2))))))))
#s(approx (cos (* -1/2 (/ x y))) #s(hole binary64 1))
#s(approx (cos (* -1/2 (/ x y))) #s(hole binary64 (+ 1 (* -1/8 (/ (pow x 2) (pow y 2))))))
#s(approx (cos (* -1/2 (/ x y))) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 1/384 (/ (pow x 2) (pow y 4))) (* 1/8 (/ 1 (pow y 2))))))))
#s(approx (cos (* -1/2 (/ x y))) #s(hole binary64 (+ 1 (* (pow x 2) (- (* (pow x 2) (+ (* -1/46080 (/ (pow x 2) (pow y 6))) (* 1/384 (/ 1 (pow y 4))))) (* 1/8 (/ 1 (pow y 2))))))))
#s(approx (+ (* (/ -1/8 y) (/ (* x x) y)) 1) #s(hole binary64 1))
#s(approx (+ (* (/ -1/8 y) (/ (* x x) y)) 1) #s(hole binary64 (+ 1 (* -1/8 (/ (pow x 2) (pow y 2))))))
#s(approx (/ (* x x) y) #s(hole binary64 (/ (pow x 2) y)))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx (/ (tan (/ x (+ y y))) (sin (/ x (+ y y)))) #s(hole binary64 1))
#s(approx (/ (tan (/ x (+ y y))) (sin (/ x (+ y y)))) #s(hole binary64 (+ 1 (* 1/8 (/ (pow x 2) (pow y 2))))))
#s(approx (/ (tan (/ x (+ y y))) (sin (/ x (+ y y)))) #s(hole binary64 (+ 1 (* (pow x 2) (+ (* 5/384 (/ (pow x 2) (pow y 4))) (* 1/8 (/ 1 (pow y 2))))))))
#s(approx (/ (tan (/ x (+ y y))) (sin (/ x (+ y 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 (tan (/ x (+ y y))) #s(hole binary64 (* 1/2 (/ x y))))
#s(approx (tan (/ x (+ y y))) #s(hole binary64 (* x (+ (* 1/24 (/ (pow x 2) (pow y 3))) (* 1/2 (/ 1 y))))))
#s(approx (tan (/ x (+ y 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 (tan (/ x (+ y 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 (/ x (+ y y)) #s(hole binary64 (* 1/2 (/ x y))))
#s(approx (sin (/ x (+ y y))) #s(hole binary64 (* 1/2 (/ x y))))
#s(approx (sin (/ x (+ y y))) #s(hole binary64 (* x (+ (* -1/48 (/ (pow x 2) (pow y 3))) (* 1/2 (/ 1 y))))))
#s(approx (sin (/ x (+ y y))) #s(hole binary64 (* x (+ (* (pow x 2) (- (* 1/3840 (/ (pow x 2) (pow y 5))) (* 1/48 (/ 1 (pow y 3))))) (* 1/2 (/ 1 y))))))
#s(approx (sin (/ x (+ y y))) #s(hole binary64 (* x (+ (* (pow x 2) (- (* (pow x 2) (+ (* -1/645120 (/ (pow x 2) (pow y 7))) (* 1/3840 (/ 1 (pow y 5))))) (* 1/48 (/ 1 (pow y 3))))) (* 1/2 (/ 1 y))))))
#s(approx (/ (/ (sin (/ x y)) (+ 1 (cos (/ x y)))) (sin (/ x (+ y y)))) #s(hole binary64 1))
#s(approx (/ (/ (sin (/ x y)) (+ 1 (cos (/ x y)))) (sin (/ x (+ y y)))) #s(hole binary64 (+ 1 (* 1/8 (/ (pow x 2) (pow y 2))))))
#s(approx (/ (/ (sin (/ x y)) (+ 1 (cos (/ x y)))) (sin (/ x (+ y y)))) #s(hole binary64 (+ 1 (* (pow x 2) (+ (* 5/384 (/ (pow x 2) (pow y 4))) (* 1/8 (/ 1 (pow y 2))))))))
#s(approx (/ (/ (sin (/ x y)) (+ 1 (cos (/ x y)))) (sin (/ x (+ y y)))) #s(hole binary64 (+ 1 (* (pow x 2) (+ (* (pow x 2) (+ (* 5/384 (/ 1 (pow y 4))) (* (pow x 2) (- (* 35/9216 (/ 1 (pow y 6))) (* 19/7680 (/ 1 (pow y 6))))))) (* 1/8 (/ 1 (pow y 2))))))))
#s(approx (/ (sin (/ x y)) (+ 1 (cos (/ x y)))) #s(hole binary64 (* 1/2 (/ x y))))
#s(approx (/ (sin (/ x y)) (+ 1 (cos (/ x y)))) #s(hole binary64 (* x (+ (* 1/24 (/ (pow x 2) (pow y 3))) (* 1/2 (/ 1 y))))))
#s(approx (/ (sin (/ x y)) (+ 1 (cos (/ 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 (/ (sin (/ x y)) (+ 1 (cos (/ 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 (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 (+ 1 (cos (/ x y))) #s(hole binary64 2))
#s(approx (+ 1 (cos (/ x y))) #s(hole binary64 (+ 2 (* -1/2 (/ (pow x 2) (pow y 2))))))
#s(approx (+ 1 (cos (/ x y))) #s(hole binary64 (+ 2 (* (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 (+ 2 (* (pow x 2) (- (* (pow x 2) (+ (* -1/720 (/ (pow x 2) (pow y 6))) (* 1/24 (/ 1 (pow y 4))))) (* 1/2 (/ 1 (pow y 2))))))))
#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 (/ (/ (neg (sin (/ x (* 2 y)))) (cos (+ (PI) (/ x (* 2 y))))) (sin (/ x (* y 2)))) #s(hole binary64 (/ -1 (cos (PI)))))
#s(approx (/ (/ (neg (sin (/ x (* 2 y)))) (cos (+ (PI) (/ x (* 2 y))))) (sin (/ x (* y 2)))) #s(hole binary64 (- (* -1/2 (/ (* x (sin (PI))) (* y (pow (cos (PI)) 2)))) (/ 1 (cos (PI))))))
#s(approx (/ (/ (neg (sin (/ x (* 2 y)))) (cos (+ (PI) (/ x (* 2 y))))) (sin (/ x (* y 2)))) #s(hole binary64 (- (* x (- (* -1 (* x (+ (* 1/8 (/ 1 (* (pow y 2) (cos (PI))))) (* 1/4 (/ (pow (sin (PI)) 2) (* (pow y 2) (pow (cos (PI)) 3))))))) (* 1/2 (/ (sin (PI)) (* y (pow (cos (PI)) 2)))))) (/ 1 (cos (PI))))))
#s(approx (/ (/ (neg (sin (/ x (* 2 y)))) (cos (+ (PI) (/ x (* 2 y))))) (sin (/ x (* y 2)))) #s(hole binary64 (- (* x (- (* x (- (* -1 (* x (+ (* -1/48 (/ (sin (PI)) (* (pow y 3) (pow (cos (PI)) 2)))) (+ (* 1/16 (/ (sin (PI)) (* (pow y 3) (pow (cos (PI)) 2)))) (* 1/2 (/ (* (sin (PI)) (+ (* 1/4 (/ (pow (sin (PI)) 2) (* (pow y 2) (pow (cos (PI)) 3)))) (* 1/8 (/ 1 (* (pow y 2) (cos (PI))))))) (* y (cos (PI))))))))) (+ (* 1/8 (/ 1 (* (pow y 2) (cos (PI))))) (* 1/4 (/ (pow (sin (PI)) 2) (* (pow y 2) (pow (cos (PI)) 3))))))) (* 1/2 (/ (sin (PI)) (* y (pow (cos (PI)) 2)))))) (/ 1 (cos (PI))))))
#s(approx (/ (neg (sin (/ x (* 2 y)))) (cos (+ (PI) (/ x (* 2 y))))) #s(hole binary64 (* -1/2 (/ x (* y (cos (PI)))))))
#s(approx (/ (neg (sin (/ x (* 2 y)))) (cos (+ (PI) (/ x (* 2 y))))) #s(hole binary64 (* x (- (* -1/4 (/ (* x (sin (PI))) (* (pow y 2) (pow (cos (PI)) 2)))) (* 1/2 (/ 1 (* y (cos (PI)))))))))
#s(approx (/ (neg (sin (/ x (* 2 y)))) (cos (+ (PI) (/ x (* 2 y))))) #s(hole binary64 (* x (- (* x (+ (* -1 (* x (- (* 1/16 (/ 1 (* (pow y 3) (cos (PI))))) (+ (* -1/8 (/ (pow (sin (PI)) 2) (* (pow y 3) (pow (cos (PI)) 3)))) (* 1/48 (/ 1 (* (pow y 3) (cos (PI))))))))) (* -1/4 (/ (sin (PI)) (* (pow y 2) (pow (cos (PI)) 2)))))) (* 1/2 (/ 1 (* y (cos (PI)))))))))
#s(approx (/ (neg (sin (/ x (* 2 y)))) (cos (+ (PI) (/ x (* 2 y))))) #s(hole binary64 (* x (- (* x (+ (* -1/4 (/ (sin (PI)) (* (pow y 2) (pow (cos (PI)) 2)))) (* x (+ (* -1 (- (* 1/16 (/ 1 (* (pow y 3) (cos (PI))))) (+ (* -1/8 (/ (pow (sin (PI)) 2) (* (pow y 3) (pow (cos (PI)) 3)))) (* 1/48 (/ 1 (* (pow y 3) (cos (PI)))))))) (* x (+ (* -1/2 (/ (* (sin (PI)) (- (* 1/16 (/ 1 (* (pow y 3) (cos (PI))))) (+ (* -1/8 (/ (pow (sin (PI)) 2) (* (pow y 3) (pow (cos (PI)) 3)))) (* 1/48 (/ 1 (* (pow y 3) (cos (PI)))))))) (* y (cos (PI))))) (+ (* -1/32 (/ (sin (PI)) (* (pow y 4) (pow (cos (PI)) 2)))) (* 1/96 (/ (sin (PI)) (* (pow y 4) (pow (cos (PI)) 2))))))))))) (* 1/2 (/ 1 (* y (cos (PI)))))))))
#s(approx (neg (sin (/ x (* 2 y)))) #s(hole binary64 (* -1/2 (/ x y))))
#s(approx (neg (sin (/ x (* 2 y)))) #s(hole binary64 (* x (- (* 1/48 (/ (pow x 2) (pow y 3))) (* 1/2 (/ 1 y))))))
#s(approx (neg (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 (neg (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 (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 (+ (PI) (/ x (* 2 y)))) #s(hole binary64 (cos (PI))))
#s(approx (cos (+ (PI) (/ x (* 2 y)))) #s(hole binary64 (+ (cos (PI)) (* -1/2 (/ (* x (sin (PI))) y)))))
#s(approx (cos (+ (PI) (/ x (* 2 y)))) #s(hole binary64 (+ (cos (PI)) (* x (- (* -1/8 (/ (* x (cos (PI))) (pow y 2))) (* 1/2 (/ (sin (PI)) y)))))))
#s(approx (cos (+ (PI) (/ x (* 2 y)))) #s(hole binary64 (+ (cos (PI)) (* x (- (* x (+ (* -1/8 (/ (cos (PI)) (pow y 2))) (* 1/48 (/ (* x (sin (PI))) (pow y 3))))) (* 1/2 (/ (sin (PI)) y)))))))
#s(approx (+ (PI) (/ x (* 2 y))) #s(hole binary64 (PI)))
#s(approx (+ (PI) (/ x (* 2 y))) #s(hole binary64 (+ (PI) (* 1/2 (/ x y)))))
#s(approx (sin (/ x (* y 2))) #s(hole binary64 (* 1/2 (/ x y))))
#s(approx (sin (/ x (* y 2))) #s(hole binary64 (* x (+ (* -1/48 (/ (pow x 2) (pow y 3))) (* 1/2 (/ 1 y))))))
#s(approx (sin (/ x (* y 2))) #s(hole binary64 (* x (+ (* (pow x 2) (- (* 1/3840 (/ (pow x 2) (pow y 5))) (* 1/48 (/ 1 (pow y 3))))) (* 1/2 (/ 1 y))))))
#s(approx (sin (/ x (* y 2))) #s(hole binary64 (* x (+ (* (pow x 2) (- (* (pow x 2) (+ (* -1/645120 (/ (pow x 2) (pow y 7))) (* 1/3840 (/ 1 (pow y 5))))) (* 1/48 (/ 1 (pow y 3))))) (* 1/2 (/ 1 y))))))
#s(approx (/ x (* y 2)) #s(hole binary64 (* 1/2 (/ x y))))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(hole binary64 (/ 1 (cos (* 1/2 (/ x y))))))
#s(approx (/ 1 (sin (+ (* (/ x y) -1/2) (/ (PI) 2)))) #s(hole binary64 (/ 1 (sin (- (* 1/2 (PI)) (* 1/2 (/ x y)))))))
#s(approx (sin (+ (* (/ x y) -1/2) (/ (PI) 2))) #s(hole binary64 (sin (- (* 1/2 (PI)) (* 1/2 (/ x y))))))
#s(approx (+ (* (/ x y) -1/2) (/ (PI) 2)) #s(hole binary64 (* -1/2 (/ x y))))
#s(approx (+ (* (/ x y) -1/2) (/ (PI) 2)) #s(hole binary64 (* x (- (* 1/2 (/ (PI) x)) (* 1/2 (/ 1 y))))))
#s(approx (/ 1 (cos (* -1/2 (/ x y)))) #s(hole binary64 (/ 1 (cos (* -1/2 (/ x y))))))
#s(approx (cos (* -1/2 (/ x y))) #s(hole binary64 (cos (* -1/2 (/ x y)))))
#s(approx (+ (* (/ -1/8 y) (/ (* x x) y)) 1) #s(hole binary64 (* -1/8 (/ (pow x 2) (pow y 2)))))
#s(approx (+ (* (/ -1/8 y) (/ (* x x) y)) 1) #s(hole binary64 (* (pow x 2) (- (/ 1 (pow x 2)) (* 1/8 (/ 1 (pow y 2)))))))
#s(approx (/ (tan (/ x (+ y y))) (sin (/ x (+ y y)))) #s(hole binary64 (/ 1 (cos (* 1/2 (/ x y))))))
#s(approx (tan (/ x (+ y y))) #s(hole binary64 (/ (sin (* 1/2 (/ x y))) (cos (* 1/2 (/ x y))))))
#s(approx (sin (/ x (+ y y))) #s(hole binary64 (sin (* 1/2 (/ x y)))))
#s(approx (/ (/ (sin (/ x y)) (+ 1 (cos (/ x y)))) (sin (/ x (+ y y)))) #s(hole binary64 (/ (sin (/ x y)) (* (sin (* 1/2 (/ x y))) (+ 1 (cos (/ x y)))))))
#s(approx (/ (sin (/ x y)) (+ 1 (cos (/ x y)))) #s(hole binary64 (/ (sin (/ x y)) (+ 1 (cos (/ x y))))))
#s(approx (sin (/ x y)) #s(hole binary64 (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 (/ (/ (neg (sin (/ x (* 2 y)))) (cos (+ (PI) (/ x (* 2 y))))) (sin (/ x (* y 2)))) #s(hole binary64 (/ -1 (cos (+ (PI) (* 1/2 (/ x y)))))))
#s(approx (/ (neg (sin (/ x (* 2 y)))) (cos (+ (PI) (/ x (* 2 y))))) #s(hole binary64 (* -1 (/ (sin (* 1/2 (/ x y))) (cos (+ (PI) (* 1/2 (/ x y))))))))
#s(approx (neg (sin (/ x (* 2 y)))) #s(hole binary64 (* -1 (sin (* 1/2 (/ x y))))))
#s(approx (sin (/ x (* 2 y))) #s(hole binary64 (sin (* 1/2 (/ x y)))))
#s(approx (cos (+ (PI) (/ x (* 2 y)))) #s(hole binary64 (cos (+ (PI) (* 1/2 (/ x y))))))
#s(approx (+ (PI) (/ x (* 2 y))) #s(hole binary64 (* 1/2 (/ x y))))
#s(approx (+ (PI) (/ x (* 2 y))) #s(hole binary64 (* x (+ (* 1/2 (/ 1 y)) (/ (PI) x)))))
#s(approx (sin (/ x (* y 2))) #s(hole binary64 (sin (* 1/2 (/ x y)))))
#s(approx (/ 1 (sin (+ (* (/ x y) -1/2) (/ (PI) 2)))) #s(hole binary64 (/ 1 (sin (+ (* -1/2 (/ x y)) (* 1/2 (PI)))))))
#s(approx (sin (+ (* (/ x y) -1/2) (/ (PI) 2))) #s(hole binary64 (sin (+ (* -1/2 (/ x y)) (* 1/2 (PI))))))
#s(approx (+ (* (/ x y) -1/2) (/ (PI) 2)) #s(hole binary64 (* -1 (* x (+ (* -1/2 (/ (PI) x)) (* 1/2 (/ 1 y)))))))
#s(approx (/ (/ (neg (sin (/ x (* 2 y)))) (cos (+ (PI) (/ x (* 2 y))))) (sin (/ x (* y 2)))) #s(hole binary64 (/ -1 (cos (- (PI) (* -1/2 (/ x y)))))))
#s(approx (/ (neg (sin (/ x (* 2 y)))) (cos (+ (PI) (/ x (* 2 y))))) #s(hole binary64 (* -1 (/ (sin (* 1/2 (/ x y))) (cos (- (PI) (* -1/2 (/ x y))))))))
#s(approx (cos (+ (PI) (/ x (* 2 y)))) #s(hole binary64 (cos (- (PI) (* -1/2 (/ x y))))))
#s(approx (+ (PI) (/ x (* 2 y))) #s(hole binary64 (* -1 (* x (- (* -1 (/ (PI) x)) (* 1/2 (/ 1 y)))))))
#s(approx (+ (* (/ x y) -1/2) (/ (PI) 2)) #s(hole binary64 (/ (+ (* -1/2 x) (* 1/2 (* y (PI)))) y)))
#s(approx y #s(hole binary64 y))
#s(approx (+ (* (/ -1/8 y) (/ (* x x) y)) 1) #s(hole binary64 (/ (+ (* -1/8 (pow x 2)) (pow y 2)) (pow y 2))))
#s(approx (/ -1/8 y) #s(hole binary64 (/ -1/8 y)))
#s(approx (+ y y) #s(hole binary64 (* 2 y)))
#s(approx (* 2 y) #s(hole binary64 (* 2 y)))
#s(approx (+ (PI) (/ x (* 2 y))) #s(hole binary64 (/ (+ (* 1/2 x) (* y (PI))) y)))
#s(approx (* y 2) #s(hole binary64 (* 2 y)))
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#s(approx (/ (tan (/ x (+ y y))) (sin (/ x (+ y y)))) #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 y))) (sin (/ x (+ y y)))) #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 y))) (sin (/ x (+ y y)))) #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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#s(approx (tan (/ x (+ y y))) #s(hole binary64 (* -1 (/ (- (+ (* -1/2 x) (+ (* -1/3840 (/ (pow x 5) (pow y 4))) (* 1/48 (/ (pow x 3) (pow y 2))))) (+ (* -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 y))) #s(hole binary64 (* -1 (/ (- (+ (* -1/2 x) (+ (* -1/3840 (/ (pow x 5) (pow y 4))) (+ (* 1/645120 (/ (pow x 7) (pow y 6))) (* 1/48 (/ (pow x 3) (pow y 2)))))) (+ (* -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 y))) #s(hole binary64 (* -1 (/ (+ (* -1/2 x) (* 1/48 (/ (pow x 3) (pow y 2)))) y))))
#s(approx (sin (/ x (+ y y))) #s(hole binary64 (* -1 (/ (+ (* -1/2 x) (+ (* -1/3840 (/ (pow x 5) (pow y 4))) (* 1/48 (/ (pow x 3) (pow y 2))))) y))))
#s(approx (sin (/ x (+ y y))) #s(hole binary64 (* -1 (/ (+ (* -1/2 x) (+ (* -1/3840 (/ (pow x 5) (pow y 4))) (+ (* 1/645120 (/ (pow x 7) (pow y 6))) (* 1/48 (/ (pow x 3) (pow y 2)))))) y))))
#s(approx (/ (/ (sin (/ x y)) (+ 1 (cos (/ x y)))) (sin (/ x (+ y y)))) #s(hole binary64 (- (+ 1 (* -1/6 (/ (pow x 2) (pow y 2)))) (* -1 (/ (+ (* 1/24 (pow x 3)) (* 1/4 (pow x 3))) (* x (pow y 2)))))))
#s(approx (/ (/ (sin (/ x y)) (+ 1 (cos (/ x y)))) (sin (/ x (+ y y)))) #s(hole binary64 (- (+ 1 (+ (* -1/6 (/ (pow x 2) (pow y 2))) (* 1/120 (/ (pow x 4) (pow y 4))))) (+ (* -1 (/ (* (+ (* 1/24 (pow x 3)) (* 1/4 (pow x 3))) (- (* -1/6 (pow x 2)) (* -1 (/ (+ (* 1/24 (pow x 3)) (* 1/4 (pow x 3))) x)))) (* x (pow y 4)))) (+ (* -1 (/ (+ (* -1/48 (pow x 5)) (+ (* -1/96 (pow x 5)) (* -1/1920 (pow x 5)))) (* x (pow y 4)))) (* -1 (/ (+ (* 1/24 (pow x 3)) (* 1/4 (pow x 3))) (* x (pow y 2)))))))))
#s(approx (/ (/ (sin (/ x y)) (+ 1 (cos (/ x y)))) (sin (/ x (+ y y)))) #s(hole binary64 (- (+ 1 (+ (* -1/6 (/ (pow x 2) (pow y 2))) (+ (* -1/5040 (/ (pow x 6) (pow y 6))) (* 1/120 (/ (pow x 4) (pow y 4)))))) (+ (* -1 (/ (* (+ (* -1/48 (pow x 5)) (+ (* -1/96 (pow x 5)) (* -1/1920 (pow x 5)))) (- (* -1/6 (pow x 2)) (* -1 (/ (+ (* 1/24 (pow x 3)) (* 1/4 (pow x 3))) x)))) (* x (pow y 6)))) (+ (* -1 (/ (* (+ (* 1/24 (pow x 3)) (* 1/4 (pow x 3))) (- (* -1/6 (pow x 2)) (* -1 (/ (+ (* 1/24 (pow x 3)) (* 1/4 (pow x 3))) x)))) (* x (pow y 4)))) (+ (* -1 (/ (* (+ (* 1/24 (pow x 3)) (* 1/4 (pow x 3))) (- (* 1/120 (pow x 4)) (+ (* -1 (/ (* (+ (* 1/24 (pow x 3)) (* 1/4 (pow x 3))) (- (* -1/6 (pow x 2)) (* -1 (/ (+ (* 1/24 (pow x 3)) (* 1/4 (pow x 3))) x)))) x)) (* -1 (/ (+ (* -1/48 (pow x 5)) (+ (* -1/96 (pow x 5)) (* -1/1920 (pow x 5)))) x))))) (* x (pow y 6)))) (+ (* -1 (/ (+ (* -1/48 (pow x 5)) (+ (* -1/96 (pow x 5)) (* -1/1920 (pow x 5)))) (* x (pow y 4)))) (+ (* -1 (/ (+ (* 1/322560 (pow x 7)) (+ (* 1/7680 (pow x 7)) (+ (* 1/1440 (pow x 7)) (* 1/1152 (pow x 7))))) (* x (pow y 6)))) (* -1 (/ (+ (* 1/24 (pow x 3)) (* 1/4 (pow x 3))) (* x (pow y 2))))))))))))
#s(approx (/ (sin (/ x y)) (+ 1 (cos (/ x y)))) #s(hole binary64 (* -1 (/ (- (+ (* -1/2 x) (* 1/12 (/ (pow x 3) (pow y 2)))) (* 1/8 (/ (pow x 3) (pow y 2)))) y))))
#s(approx (/ (sin (/ x y)) (+ 1 (cos (/ x y)))) #s(hole binary64 (* -1 (/ (- (+ (* -1/2 x) (+ (* -1/240 (/ (pow x 5) (pow y 4))) (* 1/12 (/ (pow x 3) (pow y 2))))) (+ (* -1/4 (/ (* (pow x 2) (- (* 1/12 (pow x 3)) (* 1/8 (pow x 3)))) (pow y 4))) (+ (* -1/96 (/ (pow x 5) (pow y 4))) (* 1/8 (/ (pow x 3) (pow y 2)))))) y))))
#s(approx (/ (sin (/ x y)) (+ 1 (cos (/ x y)))) #s(hole binary64 (* -1 (/ (- (+ (* -1/2 x) (+ (* -1/240 (/ (pow x 5) (pow y 4))) (+ (* 1/10080 (/ (pow x 7) (pow y 6))) (* 1/12 (/ (pow x 3) (pow y 2)))))) (+ (* -1/4 (/ (* (pow x 2) (- (* -1/240 (pow x 5)) (+ (* -1/4 (* (pow x 2) (- (* 1/12 (pow x 3)) (* 1/8 (pow x 3))))) (* -1/96 (pow x 5))))) (pow y 6))) (+ (* -1/4 (/ (* (pow x 2) (- (* 1/12 (pow x 3)) (* 1/8 (pow x 3)))) (pow y 4))) (+ (* -1/96 (/ (pow x 5) (pow y 4))) (+ (* 1/2880 (/ (pow x 7) (pow y 6))) (+ (* 1/48 (/ (* (pow x 4) (- (* 1/12 (pow x 3)) (* 1/8 (pow x 3)))) (pow y 6))) (* 1/8 (/ (pow x 3) (pow y 2))))))))) y))))
#s(approx (sin (/ x y)) #s(hole binary64 (* -1 (/ (+ (* -1 x) (* 1/6 (/ (pow x 3) (pow y 2)))) y))))
#s(approx (sin (/ x y)) #s(hole binary64 (* -1 (/ (+ (* -1 x) (+ (* -1/120 (/ (pow x 5) (pow y 4))) (* 1/6 (/ (pow x 3) (pow y 2))))) y))))
#s(approx (sin (/ x y)) #s(hole binary64 (* -1 (/ (+ (* -1 x) (+ (* -1/120 (/ (pow x 5) (pow y 4))) (+ (* 1/5040 (/ (pow x 7) (pow y 6))) (* 1/6 (/ (pow x 3) (pow y 2)))))) y))))
#s(approx (/ (/ (neg (sin (/ x (* 2 y)))) (cos (+ (PI) (/ x (* 2 y))))) (sin (/ x (* y 2)))) #s(hole binary64 (- (* -1 (/ (- (+ (* 1/8 (/ (pow x 2) (* y (cos (PI))))) (* 1/4 (/ (* (pow x 2) (pow (sin (PI)) 2)) (* y (pow (cos (PI)) 3))))) (* -1/2 (/ (* x (sin (PI))) (pow (cos (PI)) 2)))) y)) (/ 1 (cos (PI))))))
#s(approx (/ (/ (neg (sin (/ x (* 2 y)))) (cos (+ (PI) (/ x (* 2 y))))) (sin (/ x (* y 2)))) #s(hole binary64 (- (* -1 (/ (- (* -1 (/ (- (+ (* -1/2 (/ (* x (* (sin (PI)) (+ (* 1/8 (/ (pow x 2) (cos (PI)))) (* 1/4 (/ (* (pow x 2) (pow (sin (PI)) 2)) (pow (cos (PI)) 3)))))) (* y (cos (PI))))) (+ (* -1/16 (/ (* (pow x 3) (sin (PI))) (* y (pow (cos (PI)) 2)))) (* 1/48 (/ (* (pow x 3) (sin (PI))) (* y (pow (cos (PI)) 2)))))) (+ (* 1/8 (/ (pow x 2) (cos (PI)))) (* 1/4 (/ (* (pow x 2) (pow (sin (PI)) 2)) (pow (cos (PI)) 3))))) y)) (* -1/2 (/ (* x (sin (PI))) (pow (cos (PI)) 2)))) y)) (/ 1 (cos (PI))))))
#s(approx (/ (neg (sin (/ x (* 2 y)))) (cos (+ (PI) (/ x (* 2 y))))) #s(hole binary64 (* -1 (/ (+ (* 1/4 (/ (* (pow x 2) (sin (PI))) (* y (pow (cos (PI)) 2)))) (* 1/2 (/ x (cos (PI))))) y))))
#s(approx (/ (neg (sin (/ x (* 2 y)))) (cos (+ (PI) (/ x (* 2 y))))) #s(hole binary64 (* -1 (/ (+ (* -1 (/ (- (+ (* -1/4 (/ (* (pow x 2) (sin (PI))) (pow (cos (PI)) 2))) (* 1/48 (/ (pow x 3) (* y (cos (PI)))))) (+ (* 1/16 (/ (pow x 3) (* y (cos (PI))))) (* 1/8 (/ (* (pow x 3) (pow (sin (PI)) 2)) (* y (pow (cos (PI)) 3)))))) y)) (* 1/2 (/ x (cos (PI))))) y))))
#s(approx (/ (neg (sin (/ x (* 2 y)))) (cos (+ (PI) (/ x (* 2 y))))) #s(hole binary64 (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (- (* 1/48 (/ (pow x 3) (cos (PI)))) (+ (* 1/16 (/ (pow x 3) (cos (PI)))) (* 1/8 (/ (* (pow x 3) (pow (sin (PI)) 2)) (pow (cos (PI)) 3)))))) (* -1 (/ (+ (* -1/32 (/ (* (pow x 4) (sin (PI))) (pow (cos (PI)) 2))) (+ (* 1/96 (/ (* (pow x 4) (sin (PI))) (pow (cos (PI)) 2))) (* 1/2 (/ (* x (* (sin (PI)) (- (* 1/48 (/ (pow x 3) (cos (PI)))) (+ (* 1/16 (/ (pow x 3) (cos (PI)))) (* 1/8 (/ (* (pow x 3) (pow (sin (PI)) 2)) (pow (cos (PI)) 3))))))) (cos (PI)))))) y))) y)) (* -1/4 (/ (* (pow x 2) (sin (PI))) (pow (cos (PI)) 2)))) y)) (* 1/2 (/ x (cos (PI))))) y))))
#s(approx (neg (sin (/ x (* 2 y)))) #s(hole binary64 (* -1 (/ (- (* -1/48 (/ (pow x 3) (pow y 2))) (* -1/2 x)) y))))
#s(approx (neg (sin (/ x (* 2 y)))) #s(hole binary64 (* -1 (/ (- (* 1/3840 (/ (pow x 5) (pow y 4))) (+ (* -1/2 x) (* 1/48 (/ (pow x 3) (pow y 2))))) y))))
#s(approx (neg (sin (/ x (* 2 y)))) #s(hole binary64 (* -1 (/ (- (* -1/645120 (/ (pow x 7) (pow y 6))) (+ (* -1/2 x) (+ (* -1/3840 (/ (pow x 5) (pow y 4))) (* 1/48 (/ (pow x 3) (pow y 2)))))) y))))
#s(approx (sin (/ x (* 2 y))) #s(hole binary64 (* -1 (/ (+ (* -1/2 x) (* 1/48 (/ (pow x 3) (pow y 2)))) y))))
#s(approx (sin (/ x (* 2 y))) #s(hole binary64 (* -1 (/ (+ (* -1/2 x) (+ (* -1/3840 (/ (pow x 5) (pow y 4))) (* 1/48 (/ (pow x 3) (pow y 2))))) y))))
#s(approx (sin (/ x (* 2 y))) #s(hole binary64 (* -1 (/ (+ (* -1/2 x) (+ (* -1/3840 (/ (pow x 5) (pow y 4))) (+ (* 1/645120 (/ (pow x 7) (pow y 6))) (* 1/48 (/ (pow x 3) (pow y 2)))))) y))))
#s(approx (cos (+ (PI) (/ x (* 2 y)))) #s(hole binary64 (+ (cos (PI)) (* -1 (/ (- (* 1/8 (/ (* (pow x 2) (cos (PI))) y)) (* -1/2 (* x (sin (PI))))) y)))))
#s(approx (cos (+ (PI) (/ x (* 2 y)))) #s(hole binary64 (+ (cos (PI)) (* -1 (/ (- (* -1 (/ (+ (* -1/8 (* (pow x 2) (cos (PI)))) (* 1/48 (/ (* (pow x 3) (sin (PI))) y))) y)) (* -1/2 (* x (sin (PI))))) y)))))
#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
14.0ms	y	@	inf	((/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/ 1 (sin (+ (* (/ x y) -1/2) (/ (PI) 2)))) 1 (sin (+ (* (/ x y) -1/2) (/ (PI) 2))) (+ (* (/ x y) -1/2) (/ (PI) 2)) (/ x y) x y -1/2 (/ (PI) 2) (PI) 2 (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/ 1 (cos (* -1/2 (/ x y)))) (cos (* -1/2 (/ x y))) (+ (* (/ -1/8 y) (/ (* x x) y)) 1) (/ -1/8 y) -1/8 (/ (* x x) y) (* x x) (/ (tan (/ x (+ y y))) (sin (/ x (+ y y)))) (tan (/ x (+ y y))) (/ x (+ y y)) (+ y y) (sin (/ x (+ y y))) (/ (/ (sin (/ x y)) (+ 1 (cos (/ x y)))) (sin (/ x (+ y y)))) (/ (sin (/ x y)) (+ 1 (cos (/ x y)))) (sin (/ x y)) (+ 1 (cos (/ x y))) (cos (/ x y)) (/ (/ (neg (sin (/ x (* 2 y)))) (cos (+ (PI) (/ x (* 2 y))))) (sin (/ x (* y 2)))) (/ (neg (sin (/ x (* 2 y)))) (cos (+ (PI) (/ x (* 2 y))))) (neg (sin (/ x (* 2 y)))) (sin (/ x (* 2 y))) (/ x (* 2 y)) (* 2 y) (cos (+ (PI) (/ x (* 2 y)))) (+ (PI) (/ x (* 2 y))) (sin (/ x (* y 2))) (/ x (* y 2)) (* y 2))
12.0ms	x	@	-inf	((/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/ 1 (sin (+ (* (/ x y) -1/2) (/ (PI) 2)))) 1 (sin (+ (* (/ x y) -1/2) (/ (PI) 2))) (+ (* (/ x y) -1/2) (/ (PI) 2)) (/ x y) x y -1/2 (/ (PI) 2) (PI) 2 (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/ 1 (cos (* -1/2 (/ x y)))) (cos (* -1/2 (/ x y))) (+ (* (/ -1/8 y) (/ (* x x) y)) 1) (/ -1/8 y) -1/8 (/ (* x x) y) (* x x) (/ (tan (/ x (+ y y))) (sin (/ x (+ y y)))) (tan (/ x (+ y y))) (/ x (+ y y)) (+ y y) (sin (/ x (+ y y))) (/ (/ (sin (/ x y)) (+ 1 (cos (/ x y)))) (sin (/ x (+ y y)))) (/ (sin (/ x y)) (+ 1 (cos (/ x y)))) (sin (/ x y)) (+ 1 (cos (/ x y))) (cos (/ x y)) (/ (/ (neg (sin (/ x (* 2 y)))) (cos (+ (PI) (/ x (* 2 y))))) (sin (/ x (* y 2)))) (/ (neg (sin (/ x (* 2 y)))) (cos (+ (PI) (/ x (* 2 y))))) (neg (sin (/ x (* 2 y)))) (sin (/ x (* 2 y))) (/ x (* 2 y)) (* 2 y) (cos (+ (PI) (/ x (* 2 y)))) (+ (PI) (/ x (* 2 y))) (sin (/ x (* y 2))) (/ x (* y 2)) (* y 2))
10.0ms	x	@	inf	((/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/ 1 (sin (+ (* (/ x y) -1/2) (/ (PI) 2)))) 1 (sin (+ (* (/ x y) -1/2) (/ (PI) 2))) (+ (* (/ x y) -1/2) (/ (PI) 2)) (/ x y) x y -1/2 (/ (PI) 2) (PI) 2 (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/ 1 (cos (* -1/2 (/ x y)))) (cos (* -1/2 (/ x y))) (+ (* (/ -1/8 y) (/ (* x x) y)) 1) (/ -1/8 y) -1/8 (/ (* x x) y) (* x x) (/ (tan (/ x (+ y y))) (sin (/ x (+ y y)))) (tan (/ x (+ y y))) (/ x (+ y y)) (+ y y) (sin (/ x (+ y y))) (/ (/ (sin (/ x y)) (+ 1 (cos (/ x y)))) (sin (/ x (+ y y)))) (/ (sin (/ x y)) (+ 1 (cos (/ x y)))) (sin (/ x y)) (+ 1 (cos (/ x y))) (cos (/ x y)) (/ (/ (neg (sin (/ x (* 2 y)))) (cos (+ (PI) (/ x (* 2 y))))) (sin (/ x (* y 2)))) (/ (neg (sin (/ x (* 2 y)))) (cos (+ (PI) (/ x (* 2 y))))) (neg (sin (/ x (* 2 y)))) (sin (/ x (* 2 y))) (/ x (* 2 y)) (* 2 y) (cos (+ (PI) (/ x (* 2 y)))) (+ (PI) (/ x (* 2 y))) (sin (/ x (* y 2))) (/ x (* y 2)) (* y 2))
7.0ms	y	@	-inf	((/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/ 1 (sin (+ (* (/ x y) -1/2) (/ (PI) 2)))) 1 (sin (+ (* (/ x y) -1/2) (/ (PI) 2))) (+ (* (/ x y) -1/2) (/ (PI) 2)) (/ x y) x y -1/2 (/ (PI) 2) (PI) 2 (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/ 1 (cos (* -1/2 (/ x y)))) (cos (* -1/2 (/ x y))) (+ (* (/ -1/8 y) (/ (* x x) y)) 1) (/ -1/8 y) -1/8 (/ (* x x) y) (* x x) (/ (tan (/ x (+ y y))) (sin (/ x (+ y y)))) (tan (/ x (+ y y))) (/ x (+ y y)) (+ y y) (sin (/ x (+ y y))) (/ (/ (sin (/ x y)) (+ 1 (cos (/ x y)))) (sin (/ x (+ y y)))) (/ (sin (/ x y)) (+ 1 (cos (/ x y)))) (sin (/ x y)) (+ 1 (cos (/ x y))) (cos (/ x y)) (/ (/ (neg (sin (/ x (* 2 y)))) (cos (+ (PI) (/ x (* 2 y))))) (sin (/ x (* y 2)))) (/ (neg (sin (/ x (* 2 y)))) (cos (+ (PI) (/ x (* 2 y))))) (neg (sin (/ x (* 2 y)))) (sin (/ x (* 2 y))) (/ x (* 2 y)) (* 2 y) (cos (+ (PI) (/ x (* 2 y)))) (+ (PI) (/ x (* 2 y))) (sin (/ x (* y 2))) (/ x (* y 2)) (* y 2))
7.0ms	x	@	0	((/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/ 1 (sin (+ (* (/ x y) -1/2) (/ (PI) 2)))) 1 (sin (+ (* (/ x y) -1/2) (/ (PI) 2))) (+ (* (/ x y) -1/2) (/ (PI) 2)) (/ x y) x y -1/2 (/ (PI) 2) (PI) 2 (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/ 1 (cos (* -1/2 (/ x y)))) (cos (* -1/2 (/ x y))) (+ (* (/ -1/8 y) (/ (* x x) y)) 1) (/ -1/8 y) -1/8 (/ (* x x) y) (* x x) (/ (tan (/ x (+ y y))) (sin (/ x (+ y y)))) (tan (/ x (+ y y))) (/ x (+ y y)) (+ y y) (sin (/ x (+ y y))) (/ (/ (sin (/ x y)) (+ 1 (cos (/ x y)))) (sin (/ x (+ y y)))) (/ (sin (/ x y)) (+ 1 (cos (/ x y)))) (sin (/ x y)) (+ 1 (cos (/ x y))) (cos (/ x y)) (/ (/ (neg (sin (/ x (* 2 y)))) (cos (+ (PI) (/ x (* 2 y))))) (sin (/ x (* y 2)))) (/ (neg (sin (/ x (* 2 y)))) (cos (+ (PI) (/ x (* 2 y))))) (neg (sin (/ x (* 2 y)))) (sin (/ x (* 2 y))) (/ x (* 2 y)) (* 2 y) (cos (+ (PI) (/ x (* 2 y)))) (+ (PI) (/ x (* 2 y))) (sin (/ x (* y 2))) (/ x (* y 2)) (* y 2))

simplify242.0ms (5%)

Memory

-41.3MiB live, 301.7MiB allocated; 160ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1411	9251
1	4405	9036
0	8184	8636

Stop Event

1×	iter limit
1×	node limit

Counts

219 → 219

Calls

Call 1

Inputs
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(hole binary64 1))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(hole binary64 (+ 1 (* 1/8 (/ (pow x 2) (pow y 2))))))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(hole binary64 (+ 1 (* (pow x 2) (+ (* 5/384 (/ (pow x 2) (pow y 4))) (* 1/8 (/ 1 (pow y 2))))))))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(hole binary64 (+ 1 (* (pow x 2) (+ (* (pow x 2) (+ (* 61/46080 (/ (pow x 2) (pow y 6))) (* 5/384 (/ 1 (pow y 4))))) (* 1/8 (/ 1 (pow y 2))))))))
#s(approx (/ 1 (sin (+ (* (/ x y) -1/2) (/ (PI) 2)))) #s(hole binary64 (/ 1 (sin (* 1/2 (PI))))))
#s(approx (/ 1 (sin (+ (* (/ x y) -1/2) (/ (PI) 2)))) #s(hole binary64 (+ (* 1/2 (/ (* x (cos (* 1/2 (PI)))) (* y (pow (sin (* 1/2 (PI))) 2)))) (/ 1 (sin (* 1/2 (PI)))))))
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#s(approx (/ (tan (/ x (+ y y))) (sin (/ x (+ y y)))) #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 y))) (sin (/ x (+ y y)))) #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 y))) #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 y))) #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))))
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#s(approx (/ (/ (sin (/ x y)) (+ 1 (cos (/ x y)))) (sin (/ x (+ y y)))) #s(hole binary64 (- (+ 1 (* -1/6 (/ (pow x 2) (pow y 2)))) (* -1 (/ (+ (* 1/24 (pow x 3)) (* 1/4 (pow x 3))) (* x (pow y 2)))))))
#s(approx (/ (/ (sin (/ x y)) (+ 1 (cos (/ x y)))) (sin (/ x (+ y y)))) #s(hole binary64 (- (+ 1 (+ (* -1/6 (/ (pow x 2) (pow y 2))) (* 1/120 (/ (pow x 4) (pow y 4))))) (+ (* -1 (/ (* (+ (* 1/24 (pow x 3)) (* 1/4 (pow x 3))) (- (* -1/6 (pow x 2)) (* -1 (/ (+ (* 1/24 (pow x 3)) (* 1/4 (pow x 3))) x)))) (* x (pow y 4)))) (+ (* -1 (/ (+ (* -1/48 (pow x 5)) (+ (* -1/96 (pow x 5)) (* -1/1920 (pow x 5)))) (* x (pow y 4)))) (* -1 (/ (+ (* 1/24 (pow x 3)) (* 1/4 (pow x 3))) (* x (pow y 2)))))))))
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#s(approx (/ (sin (/ x y)) (+ 1 (cos (/ x y)))) #s(hole binary64 (* -1 (/ (- (+ (* -1/2 x) (* 1/12 (/ (pow x 3) (pow y 2)))) (* 1/8 (/ (pow x 3) (pow y 2)))) y))))
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#s(approx (sin (/ x y)) #s(hole binary64 (* -1 (/ (+ (* -1 x) (+ (* -1/120 (/ (pow x 5) (pow y 4))) (* 1/6 (/ (pow x 3) (pow y 2))))) y))))
#s(approx (sin (/ x y)) #s(hole binary64 (* -1 (/ (+ (* -1 x) (+ (* -1/120 (/ (pow x 5) (pow y 4))) (+ (* 1/5040 (/ (pow x 7) (pow y 6))) (* 1/6 (/ (pow x 3) (pow y 2)))))) y))))
#s(approx (/ (/ (neg (sin (/ x (* 2 y)))) (cos (+ (PI) (/ x (* 2 y))))) (sin (/ x (* y 2)))) #s(hole binary64 (- (* -1 (/ (- (+ (* 1/8 (/ (pow x 2) (* y (cos (PI))))) (* 1/4 (/ (* (pow x 2) (pow (sin (PI)) 2)) (* y (pow (cos (PI)) 3))))) (* -1/2 (/ (* x (sin (PI))) (pow (cos (PI)) 2)))) y)) (/ 1 (cos (PI))))))
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#s(approx (/ (neg (sin (/ x (* 2 y)))) (cos (+ (PI) (/ x (* 2 y))))) #s(hole binary64 (* -1 (/ (+ (* 1/4 (/ (* (pow x 2) (sin (PI))) (* y (pow (cos (PI)) 2)))) (* 1/2 (/ x (cos (PI))))) y))))
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Outputs
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(hole binary64 1))
#s(approx (/ (/ (sin (/ x y)) (+ 1 (cos (/ x y)))) (sin (/ x (+ y y)))) #s(literal 1 binary64))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(hole binary64 (+ 1 (* 1/8 (/ (pow x 2) (pow y 2))))))
#s(approx (/ (/ (sin (/ x y)) (+ 1 (cos (/ x y)))) (sin (/ x (+ y y)))) (fma.f64 (/.f64 #s(literal 1/8 binary64) y) (*.f64 x (/.f64 x y)) #s(literal 1 binary64)))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(hole binary64 (+ 1 (* (pow x 2) (+ (* 5/384 (/ (pow x 2) (pow y 4))) (* 1/8 (/ 1 (pow y 2))))))))
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#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(hole binary64 (+ 1 (* (pow x 2) (+ (* (pow x 2) (+ (* 61/46080 (/ (pow x 2) (pow y 6))) (* 5/384 (/ 1 (pow y 4))))) (* 1/8 (/ 1 (pow y 2))))))))
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#s(approx (/ (neg (sin (/ x (* 2 y)))) (cos (+ (PI) (/ x (* 2 y))))) (neg.f64 (/.f64 (fma.f64 (/.f64 x #s(literal 1 binary64)) #s(literal -1/2 binary64) (neg.f64 (/.f64 (fma.f64 (.f64 #s(literal 0 binary64) (.f64 x x)) #s(literal 1/4 binary64) (neg.f64 (/.f64 (neg.f64 (+.f64 (/.f64 (fma.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 0 binary64)) #s(literal -1/32 binary64) (fma.f64 (/.f64 (.f64 (.f64 #s(literal 0 binary64) x) (-.f64 (fma.f64 (pow.f64 (/.f64 x #s(literal -1 binary64)) #s(literal 3 binary64)) #s(literal 1/48 binary64) (.f64 (pow.f64 (/.f64 x #s(literal -1 binary64)) #s(literal 3 binary64)) #s(literal -1/16 binary64))) (.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 0 binary64)) #s(literal -1/8 binary64)))) #s(literal -1 binary64)) #s(literal 1/2 binary64) (.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 0 binary64)) #s(literal 1/96 binary64)))) y) (-.f64 (fma.f64 (pow.f64 (/.f64 x #s(literal -1 binary64)) #s(literal 3 binary64)) #s(literal 1/48 binary64) (.f64 (pow.f64 (/.f64 x #s(literal -1 binary64)) #s(literal 3 binary64)) #s(literal -1/16 binary64))) (.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 0 binary64)) #s(literal -1/8 binary64))))) y))) y))) y)))
#s(approx (neg (sin (/ x (* 2 y)))) #s(hole binary64 (* -1 (/ (- (* -1/48 (/ (pow x 3) (pow y 2))) (* -1/2 x)) y))))
#s(approx (neg (sin (/ x (* 2 y)))) (neg.f64 (/.f64 (fma.f64 (/.f64 #s(literal -1/48 binary64) y) (/.f64 (pow.f64 x #s(literal 3 binary64)) y) (*.f64 #s(literal 1/2 binary64) x)) y)))
#s(approx (neg (sin (/ x (* 2 y)))) #s(hole binary64 (* -1 (/ (- (* 1/3840 (/ (pow x 5) (pow y 4))) (+ (* -1/2 x) (* 1/48 (/ (pow x 3) (pow y 2))))) y))))
#s(approx (neg (sin (/ x (* 2 y)))) (neg.f64 (/.f64 (fma.f64 (/.f64 #s(literal -1/48 binary64) y) (/.f64 (pow.f64 x #s(literal 3 binary64)) y) (fma.f64 (/.f64 (pow.f64 x #s(literal 5 binary64)) (pow.f64 y #s(literal 4 binary64))) #s(literal 1/3840 binary64) (*.f64 #s(literal 1/2 binary64) x))) y)))
#s(approx (neg (sin (/ x (* 2 y)))) #s(hole binary64 (* -1 (/ (- (* -1/645120 (/ (pow x 7) (pow y 6))) (+ (* -1/2 x) (+ (* -1/3840 (/ (pow x 5) (pow y 4))) (* 1/48 (/ (pow x 3) (pow y 2)))))) y))))
#s(approx (neg (sin (/ x (* 2 y)))) (neg.f64 (/.f64 (-.f64 (fma.f64 (/.f64 (pow.f64 x #s(literal 7 binary64)) (pow.f64 y #s(literal 6 binary64))) #s(literal -1/645120 binary64) (.f64 #s(literal 1/2 binary64) x)) (fma.f64 (/.f64 #s(literal 1/48 binary64) y) (/.f64 (pow.f64 x #s(literal 3 binary64)) y) (/.f64 (.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal -1/3840 binary64)) (pow.f64 y #s(literal 4 binary64))))) y)))
#s(approx (sin (/ x (* 2 y))) #s(hole binary64 (* -1 (/ (+ (* -1/2 x) (* 1/48 (/ (pow x 3) (pow y 2)))) y))))
#s(approx (sin (/ x (* 2 y))) (neg.f64 (/.f64 (fma.f64 (/.f64 #s(literal 1/48 binary64) y) (/.f64 (pow.f64 x #s(literal 3 binary64)) y) (*.f64 #s(literal -1/2 binary64) x)) y)))
#s(approx (sin (/ x (* 2 y))) #s(hole binary64 (* -1 (/ (+ (* -1/2 x) (+ (* -1/3840 (/ (pow x 5) (pow y 4))) (* 1/48 (/ (pow x 3) (pow y 2))))) y))))
#s(approx (sin (/ x (* 2 y))) (neg.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) x (fma.f64 (/.f64 #s(literal 1/48 binary64) y) (/.f64 (pow.f64 x #s(literal 3 binary64)) y) (/.f64 (*.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal -1/3840 binary64)) (pow.f64 y #s(literal 4 binary64))))) y)))
#s(approx (sin (/ x (* 2 y))) #s(hole binary64 (* -1 (/ (+ (* -1/2 x) (+ (* -1/3840 (/ (pow x 5) (pow y 4))) (+ (* 1/645120 (/ (pow x 7) (pow y 6))) (* 1/48 (/ (pow x 3) (pow y 2)))))) y))))
#s(approx (sin (/ x (* 2 y))) (neg.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) x (fma.f64 (/.f64 (pow.f64 x #s(literal 5 binary64)) (pow.f64 y #s(literal 4 binary64))) #s(literal -1/3840 binary64) (fma.f64 (/.f64 #s(literal 1/48 binary64) y) (/.f64 (pow.f64 x #s(literal 3 binary64)) y) (/.f64 (*.f64 (pow.f64 x #s(literal 7 binary64)) #s(literal 1/645120 binary64)) (pow.f64 y #s(literal 6 binary64)))))) y)))
#s(approx (cos (+ (PI) (/ x (* 2 y)))) #s(hole binary64 (+ (cos (PI)) (* -1 (/ (- (* 1/8 (/ (* (pow x 2) (cos (PI))) y)) (* -1/2 (* x (sin (PI))))) y)))))
#s(approx (cos (+ (PI) (/ x (* 2 y)))) (fma.f64 (/.f64 (fma.f64 (/.f64 (.f64 #s(literal -1 binary64) (.f64 x x)) y) #s(literal 1/8 binary64) (.f64 (.f64 #s(literal 1/2 binary64) x) #s(literal 0 binary64))) y) #s(literal -1 binary64) #s(literal -1 binary64)))
#s(approx (cos (+ (PI) (/ x (* 2 y)))) #s(hole binary64 (+ (cos (PI)) (* -1 (/ (- (* -1 (/ (+ (* -1/8 (* (pow x 2) (cos (PI)))) (* 1/48 (/ (* (pow x 3) (sin (PI))) y))) y)) (* -1/2 (* x (sin (PI))))) y)))))
#s(approx (cos (+ (PI) (/ x (* 2 y)))) (fma.f64 (/.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 0 binary64)) y) #s(literal 1/48 binary64) (.f64 (.f64 #s(literal -1 binary64) (.f64 x x)) #s(literal -1/8 binary64))) y) #s(literal -1 binary64) (.f64 (.f64 #s(literal 1/2 binary64) x) #s(literal 0 binary64))) y) #s(literal -1 binary64) #s(literal -1 binary64)))
#s(approx (sin (/ x (* y 2))) #s(hole binary64 (* -1 (/ (+ (* -1/2 x) (* 1/48 (/ (pow x 3) (pow y 2)))) y))))
#s(approx (sin (/ x (* 2 y))) (neg.f64 (/.f64 (fma.f64 (/.f64 #s(literal 1/48 binary64) y) (/.f64 (pow.f64 x #s(literal 3 binary64)) y) (*.f64 #s(literal -1/2 binary64) x)) y)))
#s(approx (sin (/ x (* y 2))) #s(hole binary64 (* -1 (/ (+ (* -1/2 x) (+ (* -1/3840 (/ (pow x 5) (pow y 4))) (* 1/48 (/ (pow x 3) (pow y 2))))) y))))
#s(approx (sin (/ x (* 2 y))) (neg.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) x (fma.f64 (/.f64 #s(literal 1/48 binary64) y) (/.f64 (pow.f64 x #s(literal 3 binary64)) y) (/.f64 (*.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal -1/3840 binary64)) (pow.f64 y #s(literal 4 binary64))))) 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))) (neg.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) x (fma.f64 (/.f64 (pow.f64 x #s(literal 5 binary64)) (pow.f64 y #s(literal 4 binary64))) #s(literal -1/3840 binary64) (fma.f64 (/.f64 #s(literal 1/48 binary64) y) (/.f64 (pow.f64 x #s(literal 3 binary64)) y) (/.f64 (*.f64 (pow.f64 x #s(literal 7 binary64)) #s(literal 1/645120 binary64)) (pow.f64 y #s(literal 6 binary64)))))) y)))

rewrite42.0ms (0.9%)

Memory

36.6MiB live, 81.5MiB allocated; 9ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	49	321
0	84	302
0	283	302

Stop Event

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

Counts

41 → 118

Calls

Call 1

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

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

eval121.0ms (2.5%)

Memory: -24.6MiB live, 125.2MiB allocated; 23ms collecting garbage
Compiler: Compiled 13 610 to 1 790 computations (86.8% saved)

prune45.0ms (0.9%)

Memory

20.2MiB live, 116.9MiB allocated; 11ms collecting garbage

Pruning

29 alts after pruning (25 fresh and 4 done)

	Pruned	Kept	Total
New	332	21	353
Fresh	6	4	10
Picked	3	2	5
Done	0	2	2
Total	341	29	370

Accuracy

59.3%

Counts

370 → 29

Alt Table

Click to see full alt table

Status	Accuracy	Program
	7.1%	(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x y))) (sin.f64 (/.f64 x y))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
	6.5%	(/.f64 (/.f64 (+.f64 (tan.f64 (/.f64 x (.f64 #s(literal 2 binary64) y))) (tan.f64 (PI.f64))) (-.f64 #s(literal 1 binary64) (.f64 (tan.f64 (/.f64 x (.f64 #s(literal 2 binary64) y))) (tan.f64 (PI.f64))))) (sin.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))))
	40.7%	(/.f64 (/.f64 (sin.f64 (/.f64 x y)) (/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 (/.f64 x y)) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (.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 (+.f64 y y))))
	40.2%	(/.f64 (/.f64 (sin.f64 (/.f64 x y)) (+.f64 #s(literal 1 binary64) (sin.f64 (+.f64 (/.f64 x y) (/.f64 (PI.f64) #s(literal 2 binary64)))))) (sin.f64 (/.f64 x (+.f64 y y))))
✓	40.7%	(/.f64 (/.f64 (sin.f64 (/.f64 x y)) (+.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x y)))) (sin.f64 (/.f64 x (+.f64 y y))))
	40.5%	(/.f64 (/.f64 (neg.f64 (sin.f64 (/.f64 x (.f64 #s(literal 2 binary64) y)))) (sin.f64 (+.f64 (+.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64)) (PI.f64)) (/.f64 (PI.f64) #s(literal 2 binary64))))) (sin.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))))
	40.5%	(/.f64 (/.f64 (neg.f64 (sin.f64 (/.f64 x (.f64 #s(literal 2 binary64) y)))) (cos.f64 #s(approx (+ (PI) (/ x ( 2 y))) (.f64 (+.f64 (/.f64 (PI.f64) x) (/.f64 #s(literal 1/2 binary64) y)) x)))) (sin.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))))
▶	6.2%	(/.f64 (/.f64 (cos.f64 (+.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64)))) (cos.f64 (+.f64 (PI.f64) (/.f64 x (.f64 #s(literal 2 binary64) y))))) (sin.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))))
	16.4%	(/.f64 (tan.f64 (/.f64 x (/.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (fma.f64 y y (-.f64 (.f64 y y) (.f64 y y)))))) (sin.f64 (/.f64 x (+.f64 y y))))
	16.3%	(/.f64 (tan.f64 (/.f64 x (+.f64 y y))) (sin.f64 (/.f64 x (/.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (fma.f64 y y (-.f64 (.f64 y y) (.f64 y y)))))))
✓	40.7%	(/.f64 (tan.f64 (/.f64 x (+.f64 y y))) (sin.f64 (/.f64 x (+.f64 y y))))
	6.3%	(/.f64 (tan.f64 (+.f64 (PI.f64) (/.f64 x (.f64 #s(literal 2 binary64) y)))) (sin.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))))
	40.7%	(/.f64 #s(approx (/ (sin (/ x y)) (+ 1 (cos (/ x y)))) (/.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) (/.f64 x y))) (cos.f64 (.f64 #s(literal 1/2 binary64) (/.f64 x y))))) (sin.f64 (/.f64 x (+.f64 y y))))
	40.1%	(/.f64 #s(approx (/ (neg (sin (/ x (* 2 y)))) (cos (+ (PI) (/ x (* 2 y))))) (/.f64 (sin.f64 (.f64 (/.f64 x y) #s(literal -1/2 binary64))) (cos.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 x y) (PI.f64))))) (sin.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))))
▶	48.6%	#s(approx (/ (/ (sin (/ x y)) (+ 1 (cos (/ x y)))) (sin (/ x (+ y y)))) (fma.f64 (/.f64 #s(literal 1/8 binary64) y) (*.f64 x (/.f64 x y)) #s(literal 1 binary64)))
▶	40.4%	#s(approx (/ (/ (sin (/ x y)) (+ 1 (cos (/ x y)))) (sin (/ x (+ y y)))) (/.f64 (sin.f64 (/.f64 x y)) (.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) (/.f64 x y))) (+.f64 (cos.f64 (/.f64 x y)) #s(literal 1 binary64)))))
▶	52.6%	#s(approx (/ (/ (neg (sin (/ x (* 2 y)))) (cos (+ (PI) (/ x (* 2 y))))) (sin (/ x (* y 2)))) (/.f64 #s(literal -1 binary64) (cos.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 x y) (PI.f64)))))
▶	53.2%	#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (fma.f64 (sin.f64 (.f64 #s(literal -1/2 binary64) (/.f64 x y))) (cos.f64 (/.f64 (PI.f64) #s(literal 2 binary64))) (.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y))) (sin.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))))))
	52.3%	#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (sin.f64 #s(approx (+ (* (/ x y) -1/2) (/ (PI) 2)) (/.f64 (fma.f64 (.f64 (PI.f64) y) #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) x)) y)))))
	4.8%	#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (sin.f64 #s(approx (+ (* (/ x y) -1/2) (/ (PI) 2)) (*.f64 (/.f64 x y) #s(literal -1/2 binary64))))))
	52.7%	#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (sin.f64 #s(approx (+ (* (/ x y) -1/2) (/ (PI) 2)) (.f64 (-.f64 (.f64 (/.f64 (PI.f64) x) #s(literal 1/2 binary64)) (/.f64 #s(literal 1/2 binary64) y)) x)))))
	53.0%	#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (sin.f64 #s(approx (+ (* (/ x y) -1/2) (/ (PI) 2)) (*.f64 #s(literal 1/2 binary64) (-.f64 (PI.f64) (/.f64 x y)))))))
✓	53.2%	#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y)))))
	49.2%	#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) #s(approx (sin (+ (* (/ x y) -1/2) (/ (PI) 2))) (fma.f64 (.f64 x (/.f64 (cos.f64 (.f64 (PI.f64) #s(literal -1/2 binary64))) y)) #s(literal -1/2 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)))))))
	49.3%	#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) #s(approx (sin (+ (* (/ x y) -1/2) (/ (PI) 2))) (fma.f64 (*.f64 x (/.f64 x y)) (/.f64 #s(literal -1/8 binary64) y) #s(literal 1 binary64)))))
	26.6%	#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) #s(approx (cos (* -1/2 (/ x y))) #s(approx (+ (* (/ -1/8 y) (/ (* x x) y)) 1) (/.f64 (fma.f64 #s(literal -1/8 binary64) (.f64 x x) (.f64 y y)) (*.f64 y y))))))
	21.1%	#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) #s(approx (cos (* -1/2 (/ x y))) #s(approx (+ (* (/ -1/8 y) (/ (* x x) y)) 1) (.f64 (-.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (/.f64 #s(literal 1/8 binary64) (.f64 y y))) (.f64 x x))))))
	2.2%	#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) #s(approx (cos (* -1/2 (/ x y))) #s(approx (+ (* (/ -1/8 y) (/ (* x x) y)) 1) (.f64 (.f64 x (/.f64 x y)) (/.f64 #s(literal -1/8 binary64) y))))))
✓	53.7%	#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(literal 1 binary64))

Compiler

Compiled 1 730 to 1 128 computations (34.8% saved)

series88.0ms (1.8%)

Memory

-30.7MiB live, 208.3MiB allocated; 24ms collecting garbage

Counts

48 → 243

Calls

Call 1

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

Outputs
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(hole binary64 1))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(hole binary64 (+ 1 (* 1/8 (/ (pow x 2) (pow y 2))))))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(hole binary64 (+ 1 (* (pow x 2) (+ (* 5/384 (/ (pow x 2) (pow y 4))) (* 1/8 (/ 1 (pow y 2))))))))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(hole binary64 (+ 1 (* (pow x 2) (+ (* (pow x 2) (+ (* 61/46080 (/ (pow x 2) (pow y 6))) (* 5/384 (/ 1 (pow y 4))))) (* 1/8 (/ 1 (pow y 2))))))))
#s(approx (/ 1 (+ (* (sin (* -1/2 (/ x y))) (cos (/ (PI) 2))) (* (cos (* -1/2 (/ x y))) (sin (/ (PI) 2))))) #s(hole binary64 (/ 1 (sin (* 1/2 (PI))))))
#s(approx (/ 1 (+ (* (sin (* -1/2 (/ x y))) (cos (/ (PI) 2))) (* (cos (* -1/2 (/ x y))) (sin (/ (PI) 2))))) #s(hole binary64 (+ (* 1/2 (/ (* x (cos (* 1/2 (PI)))) (* y (pow (sin (* 1/2 (PI))) 2)))) (/ 1 (sin (* 1/2 (PI)))))))
#s(approx (/ 1 (+ (* (sin (* -1/2 (/ x y))) (cos (/ (PI) 2))) (* (cos (* -1/2 (/ x y))) (sin (/ (PI) 2))))) #s(hole binary64 (+ (* x (- (* x (- (* 1/8 (/ 1 (* (pow y 2) (sin (* 1/2 (PI)))))) (* -1/4 (/ (pow (cos (* 1/2 (PI))) 2) (* (pow y 2) (pow (sin (* 1/2 (PI))) 3)))))) (* -1/2 (/ (cos (* 1/2 (PI))) (* y (pow (sin (* 1/2 (PI))) 2)))))) (/ 1 (sin (* 1/2 (PI)))))))
#s(approx (/ 1 (+ (* (sin (* -1/2 (/ x y))) (cos (/ (PI) 2))) (* (cos (* -1/2 (/ x y))) (sin (/ (PI) 2))))) #s(hole binary64 (+ (* x (- (* x (- (+ (* -1 (* x (+ (* -1/2 (/ (* (cos (* 1/2 (PI))) (- (* 1/8 (/ 1 (* (pow y 2) (sin (* 1/2 (PI)))))) (* -1/4 (/ (pow (cos (* 1/2 (PI))) 2) (* (pow y 2) (pow (sin (* 1/2 (PI))) 3)))))) (* y (sin (* 1/2 (PI)))))) (+ (* -1/16 (/ (cos (* 1/2 (PI))) (* (pow y 3) (pow (sin (* 1/2 (PI))) 2)))) (* 1/48 (/ (cos (* 1/2 (PI))) (* (pow y 3) (pow (sin (* 1/2 (PI))) 2)))))))) (* 1/8 (/ 1 (* (pow y 2) (sin (* 1/2 (PI))))))) (* -1/4 (/ (pow (cos (* 1/2 (PI))) 2) (* (pow y 2) (pow (sin (* 1/2 (PI))) 3)))))) (* -1/2 (/ (cos (* 1/2 (PI))) (* y (pow (sin (* 1/2 (PI))) 2)))))) (/ 1 (sin (* 1/2 (PI)))))))
#s(approx (+ (* (sin (* -1/2 (/ x y))) (cos (/ (PI) 2))) (* (cos (* -1/2 (/ x y))) (sin (/ (PI) 2)))) #s(hole binary64 (sin (* 1/2 (PI)))))
#s(approx (+ (* (sin (* -1/2 (/ x y))) (cos (/ (PI) 2))) (* (cos (* -1/2 (/ x y))) (sin (/ (PI) 2)))) #s(hole binary64 (+ (sin (* 1/2 (PI))) (* -1/2 (/ (* x (cos (* 1/2 (PI)))) y)))))
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#s(approx (/ (/ (cos (+ (/ (/ x y) 2) (/ (PI) 2))) (cos (+ (PI) (/ x (* 2 y))))) (sin (/ x (* y 2)))) #s(hole binary64 (* -1 (* y (+ (* -2 (/ (cos (* 1/2 (PI))) (* x (cos (PI))))) (* -1 (/ (- (+ (* -1 (/ (sin (* 1/2 (PI))) (cos (PI)))) (* -1 (/ (- (+ (* -1 (/ (- (* 1/24 (/ (* (pow x 2) (sin (* 1/2 (PI)))) (cos (PI)))) (+ (* -2 (/ (* (+ (* 1/48 (* (pow x 3) (cos (PI)))) (* 1/16 (* (pow x 3) (cos (PI))))) (- (* -1 (/ (sin (* 1/2 (PI))) (cos (PI)))) (* -1 (/ (* (cos (* 1/2 (PI))) (sin (PI))) (pow (cos (PI)) 2))))) (* x (cos (PI))))) (+ (* 1/12 (/ (* (pow x 2) (* (cos (* 1/2 (PI))) (sin (PI)))) (pow (cos (PI)) 2))) (* 1/2 (/ (* x (* (sin (PI)) (- (* 1/4 (/ (* x (cos (* 1/2 (PI)))) (cos (PI)))) (+ (* 1/2 (/ (* x (* (sin (PI)) (- (* -1 (/ (sin (* 1/2 (PI))) (cos (PI)))) (* -1 (/ (* (cos (* 1/2 (PI))) (sin (PI))) (pow (cos (PI)) 2)))))) (cos (PI)))) (* 4 (/ (* (cos (* 1/2 (PI))) (+ (* 1/48 (* (pow x 3) (cos (PI)))) (* 1/16 (* (pow x 3) (cos (PI)))))) (* (pow x 2) (pow (cos (PI)) 2)))))))) (cos (PI))))))) y)) (* 1/4 (/ (* x (cos (* 1/2 (PI)))) (cos (PI))))) (+ (* 1/2 (/ (* x (* (sin (PI)) (- (* -1 (/ (sin (* 1/2 (PI))) (cos (PI)))) (* -1 (/ (* (cos (* 1/2 (PI))) (sin (PI))) (pow (cos (PI)) 2)))))) (cos (PI)))) (* 4 (/ (* (cos (* 1/2 (PI))) (+ (* 1/48 (* (pow x 3) (cos (PI)))) (* 1/16 (* (pow x 3) (cos (PI)))))) (* (pow x 2) (pow (cos (PI)) 2)))))) y))) (* -1 (/ (* (cos (* 1/2 (PI))) (sin (PI))) (pow (cos (PI)) 2)))) y)))))))
#s(approx (/ (cos (+ (/ (/ x y) 2) (/ (PI) 2))) (cos (+ (PI) (/ x (* 2 y))))) #s(hole binary64 (+ (* -1 (/ (- (* 1/2 (/ (* x (sin (* 1/2 (PI)))) (cos (PI)))) (* 1/2 (/ (* x (* (cos (* 1/2 (PI))) (sin (PI)))) (pow (cos (PI)) 2)))) y)) (/ (cos (* 1/2 (PI))) (cos (PI))))))
#s(approx (/ (cos (+ (/ (/ x y) 2) (/ (PI) 2))) (cos (+ (PI) (/ x (* 2 y))))) #s(hole binary64 (+ (* -1 (/ (- (+ (* 1/2 (/ (* x (sin (* 1/2 (PI)))) (cos (PI)))) (* 1/2 (/ (* x (* (sin (PI)) (- (* 1/2 (/ (* x (sin (* 1/2 (PI)))) (cos (PI)))) (* 1/2 (/ (* x (* (cos (* 1/2 (PI))) (sin (PI)))) (pow (cos (PI)) 2)))))) (* y (cos (PI)))))) (* 1/2 (/ (* x (* (cos (* 1/2 (PI))) (sin (PI)))) (pow (cos (PI)) 2)))) y)) (/ (cos (* 1/2 (PI))) (cos (PI))))))
#s(approx (/ (cos (+ (/ (/ x y) 2) (/ (PI) 2))) (cos (+ (PI) (/ x (* 2 y))))) #s(hole binary64 (+ (* -1 (/ (- (+ (* -1 (/ (- (* -1 (/ (- (* -1/48 (/ (* (pow x 3) (sin (* 1/2 (PI)))) (cos (PI)))) (+ (* -1/4 (/ (* (pow x 2) (* (pow (sin (PI)) 2) (- (* 1/2 (/ (* x (sin (* 1/2 (PI)))) (cos (PI)))) (* 1/2 (/ (* x (* (cos (* 1/2 (PI))) (sin (PI)))) (pow (cos (PI)) 2)))))) (pow (cos (PI)) 2))) (+ (* -1/8 (* (pow x 2) (- (* 1/2 (/ (* x (sin (* 1/2 (PI)))) (cos (PI)))) (* 1/2 (/ (* x (* (cos (* 1/2 (PI))) (sin (PI)))) (pow (cos (PI)) 2)))))) (* -1/48 (/ (* (pow x 3) (* (cos (* 1/2 (PI))) (sin (PI)))) (pow (cos (PI)) 2)))))) y)) (* 1/2 (/ (* x (* (sin (PI)) (- (* 1/2 (/ (* x (sin (* 1/2 (PI)))) (cos (PI)))) (* 1/2 (/ (* x (* (cos (* 1/2 (PI))) (sin (PI)))) (pow (cos (PI)) 2)))))) (cos (PI))))) y)) (* 1/2 (/ (* x (sin (* 1/2 (PI)))) (cos (PI))))) (* 1/2 (/ (* x (* (cos (* 1/2 (PI))) (sin (PI)))) (pow (cos (PI)) 2)))) y)) (/ (cos (* 1/2 (PI))) (cos (PI))))))
#s(approx (cos (+ (/ (/ x y) 2) (/ (PI) 2))) #s(hole binary64 (+ (cos (* 1/2 (PI))) (* -1 (/ (- (* 1/8 (/ (* (pow x 2) (cos (* 1/2 (PI)))) y)) (* -1/2 (* x (sin (* 1/2 (PI)))))) y)))))
#s(approx (cos (+ (/ (/ x y) 2) (/ (PI) 2))) #s(hole binary64 (+ (cos (* 1/2 (PI))) (* -1 (/ (- (* -1 (/ (+ (* -1/8 (* (pow x 2) (cos (* 1/2 (PI))))) (* 1/48 (/ (* (pow x 3) (sin (* 1/2 (PI)))) y))) y)) (* -1/2 (* x (sin (* 1/2 (PI)))))) y)))))
#s(approx (cos (+ (PI) (/ x (* 2 y)))) #s(hole binary64 (+ (cos (PI)) (* -1 (/ (- (* 1/8 (/ (* (pow x 2) (cos (PI))) y)) (* -1/2 (* x (sin (PI))))) y)))))
#s(approx (cos (+ (PI) (/ x (* 2 y)))) #s(hole binary64 (+ (cos (PI)) (* -1 (/ (- (* -1 (/ (+ (* -1/8 (* (pow x 2) (cos (PI)))) (* 1/48 (/ (* (pow x 3) (sin (PI))) y))) y)) (* -1/2 (* x (sin (PI))))) y)))))
#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
13.0ms	y	@	inf	((/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/ 1 (+ (* (sin (* -1/2 (/ x y))) (cos (/ (PI) 2))) (* (cos (* -1/2 (/ x y))) (sin (/ (PI) 2))))) 1 (+ (* (sin (* -1/2 (/ x y))) (cos (/ (PI) 2))) (* (cos (* -1/2 (/ x y))) (sin (/ (PI) 2)))) (sin (* -1/2 (/ x y))) (* -1/2 (/ x y)) -1/2 (/ x y) x y (cos (/ (PI) 2)) (/ (PI) 2) (PI) 2 (* (cos (* -1/2 (/ x y))) (sin (/ (PI) 2))) (cos (* -1/2 (/ x y))) (sin (/ (PI) 2)) (/ (/ (sin (/ x y)) (+ 1 (cos (/ x y)))) (sin (/ x (+ y y)))) (+ (* (/ 1/8 y) (* x (/ x y))) 1) (/ 1/8 y) 1/8 (* x (/ x y)) (/ (/ (neg (sin (/ x (* 2 y)))) (cos (+ (PI) (/ x (* 2 y))))) (sin (/ x (* y 2)))) (/ -1 (cos (+ (* 1/2 (/ x y)) (PI)))) -1 (cos (+ (* 1/2 (/ x y)) (PI))) (+ (* 1/2 (/ x y)) (PI)) 1/2 (/ (/ (sin (/ x y)) (+ 1 (cos (/ x y)))) (sin (/ x (+ y y)))) (/ (sin (/ x y)) (* (sin (* 1/2 (/ x y))) (+ (cos (/ x y)) 1))) (sin (/ x y)) (* (sin (* 1/2 (/ x y))) (+ (cos (/ x y)) 1)) (sin (* 1/2 (/ x y))) (* 1/2 (/ x y)) (+ (cos (/ x y)) 1) (cos (/ x y)) (/ (/ (cos (+ (/ (/ x y) 2) (/ (PI) 2))) (cos (+ (PI) (/ x (* 2 y))))) (sin (/ x (* y 2)))) (/ (cos (+ (/ (/ x y) 2) (/ (PI) 2))) (cos (+ (PI) (/ x (* 2 y))))) (cos (+ (/ (/ x y) 2) (/ (PI) 2))) (+ (/ (/ x y) 2) (/ (PI) 2)) (/ (/ x y) 2) (cos (+ (PI) (/ x (* 2 y)))) (+ (PI) (/ x (* 2 y))) (/ x (* 2 y)) (* 2 y) (sin (/ x (* y 2))) (/ x (* y 2)) (* y 2))
11.0ms	x	@	0	((/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/ 1 (+ (* (sin (* -1/2 (/ x y))) (cos (/ (PI) 2))) (* (cos (* -1/2 (/ x y))) (sin (/ (PI) 2))))) 1 (+ (* (sin (* -1/2 (/ x y))) (cos (/ (PI) 2))) (* (cos (* -1/2 (/ x y))) (sin (/ (PI) 2)))) (sin (* -1/2 (/ x y))) (* -1/2 (/ x y)) -1/2 (/ x y) x y (cos (/ (PI) 2)) (/ (PI) 2) (PI) 2 (* (cos (* -1/2 (/ x y))) (sin (/ (PI) 2))) (cos (* -1/2 (/ x y))) (sin (/ (PI) 2)) (/ (/ (sin (/ x y)) (+ 1 (cos (/ x y)))) (sin (/ x (+ y y)))) (+ (* (/ 1/8 y) (* x (/ x y))) 1) (/ 1/8 y) 1/8 (* x (/ x y)) (/ (/ (neg (sin (/ x (* 2 y)))) (cos (+ (PI) (/ x (* 2 y))))) (sin (/ x (* y 2)))) (/ -1 (cos (+ (* 1/2 (/ x y)) (PI)))) -1 (cos (+ (* 1/2 (/ x y)) (PI))) (+ (* 1/2 (/ x y)) (PI)) 1/2 (/ (/ (sin (/ x y)) (+ 1 (cos (/ x y)))) (sin (/ x (+ y y)))) (/ (sin (/ x y)) (* (sin (* 1/2 (/ x y))) (+ (cos (/ x y)) 1))) (sin (/ x y)) (* (sin (* 1/2 (/ x y))) (+ (cos (/ x y)) 1)) (sin (* 1/2 (/ x y))) (* 1/2 (/ x y)) (+ (cos (/ x y)) 1) (cos (/ x y)) (/ (/ (cos (+ (/ (/ x y) 2) (/ (PI) 2))) (cos (+ (PI) (/ x (* 2 y))))) (sin (/ x (* y 2)))) (/ (cos (+ (/ (/ x y) 2) (/ (PI) 2))) (cos (+ (PI) (/ x (* 2 y))))) (cos (+ (/ (/ x y) 2) (/ (PI) 2))) (+ (/ (/ x y) 2) (/ (PI) 2)) (/ (/ x y) 2) (cos (+ (PI) (/ x (* 2 y)))) (+ (PI) (/ x (* 2 y))) (/ x (* 2 y)) (* 2 y) (sin (/ x (* y 2))) (/ x (* y 2)) (* y 2))
10.0ms	x	@	inf	((/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/ 1 (+ (* (sin (* -1/2 (/ x y))) (cos (/ (PI) 2))) (* (cos (* -1/2 (/ x y))) (sin (/ (PI) 2))))) 1 (+ (* (sin (* -1/2 (/ x y))) (cos (/ (PI) 2))) (* (cos (* -1/2 (/ x y))) (sin (/ (PI) 2)))) (sin (* -1/2 (/ x y))) (* -1/2 (/ x y)) -1/2 (/ x y) x y (cos (/ (PI) 2)) (/ (PI) 2) (PI) 2 (* (cos (* -1/2 (/ x y))) (sin (/ (PI) 2))) (cos (* -1/2 (/ x y))) (sin (/ (PI) 2)) (/ (/ (sin (/ x y)) (+ 1 (cos (/ x y)))) (sin (/ x (+ y y)))) (+ (* (/ 1/8 y) (* x (/ x y))) 1) (/ 1/8 y) 1/8 (* x (/ x y)) (/ (/ (neg (sin (/ x (* 2 y)))) (cos (+ (PI) (/ x (* 2 y))))) (sin (/ x (* y 2)))) (/ -1 (cos (+ (* 1/2 (/ x y)) (PI)))) -1 (cos (+ (* 1/2 (/ x y)) (PI))) (+ (* 1/2 (/ x y)) (PI)) 1/2 (/ (/ (sin (/ x y)) (+ 1 (cos (/ x y)))) (sin (/ x (+ y y)))) (/ (sin (/ x y)) (* (sin (* 1/2 (/ x y))) (+ (cos (/ x y)) 1))) (sin (/ x y)) (* (sin (* 1/2 (/ x y))) (+ (cos (/ x y)) 1)) (sin (* 1/2 (/ x y))) (* 1/2 (/ x y)) (+ (cos (/ x y)) 1) (cos (/ x y)) (/ (/ (cos (+ (/ (/ x y) 2) (/ (PI) 2))) (cos (+ (PI) (/ x (* 2 y))))) (sin (/ x (* y 2)))) (/ (cos (+ (/ (/ x y) 2) (/ (PI) 2))) (cos (+ (PI) (/ x (* 2 y))))) (cos (+ (/ (/ x y) 2) (/ (PI) 2))) (+ (/ (/ x y) 2) (/ (PI) 2)) (/ (/ x y) 2) (cos (+ (PI) (/ x (* 2 y)))) (+ (PI) (/ x (* 2 y))) (/ x (* 2 y)) (* 2 y) (sin (/ x (* y 2))) (/ x (* y 2)) (* y 2))
9.0ms	y	@	0	((/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/ 1 (+ (* (sin (* -1/2 (/ x y))) (cos (/ (PI) 2))) (* (cos (* -1/2 (/ x y))) (sin (/ (PI) 2))))) 1 (+ (* (sin (* -1/2 (/ x y))) (cos (/ (PI) 2))) (* (cos (* -1/2 (/ x y))) (sin (/ (PI) 2)))) (sin (* -1/2 (/ x y))) (* -1/2 (/ x y)) -1/2 (/ x y) x y (cos (/ (PI) 2)) (/ (PI) 2) (PI) 2 (* (cos (* -1/2 (/ x y))) (sin (/ (PI) 2))) (cos (* -1/2 (/ x y))) (sin (/ (PI) 2)) (/ (/ (sin (/ x y)) (+ 1 (cos (/ x y)))) (sin (/ x (+ y y)))) (+ (* (/ 1/8 y) (* x (/ x y))) 1) (/ 1/8 y) 1/8 (* x (/ x y)) (/ (/ (neg (sin (/ x (* 2 y)))) (cos (+ (PI) (/ x (* 2 y))))) (sin (/ x (* y 2)))) (/ -1 (cos (+ (* 1/2 (/ x y)) (PI)))) -1 (cos (+ (* 1/2 (/ x y)) (PI))) (+ (* 1/2 (/ x y)) (PI)) 1/2 (/ (/ (sin (/ x y)) (+ 1 (cos (/ x y)))) (sin (/ x (+ y y)))) (/ (sin (/ x y)) (* (sin (* 1/2 (/ x y))) (+ (cos (/ x y)) 1))) (sin (/ x y)) (* (sin (* 1/2 (/ x y))) (+ (cos (/ x y)) 1)) (sin (* 1/2 (/ x y))) (* 1/2 (/ x y)) (+ (cos (/ x y)) 1) (cos (/ x y)) (/ (/ (cos (+ (/ (/ x y) 2) (/ (PI) 2))) (cos (+ (PI) (/ x (* 2 y))))) (sin (/ x (* y 2)))) (/ (cos (+ (/ (/ x y) 2) (/ (PI) 2))) (cos (+ (PI) (/ x (* 2 y))))) (cos (+ (/ (/ x y) 2) (/ (PI) 2))) (+ (/ (/ x y) 2) (/ (PI) 2)) (/ (/ x y) 2) (cos (+ (PI) (/ x (* 2 y)))) (+ (PI) (/ x (* 2 y))) (/ x (* 2 y)) (* 2 y) (sin (/ x (* y 2))) (/ x (* y 2)) (* y 2))
8.0ms	y	@	-inf	((/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/ 1 (+ (* (sin (* -1/2 (/ x y))) (cos (/ (PI) 2))) (* (cos (* -1/2 (/ x y))) (sin (/ (PI) 2))))) 1 (+ (* (sin (* -1/2 (/ x y))) (cos (/ (PI) 2))) (* (cos (* -1/2 (/ x y))) (sin (/ (PI) 2)))) (sin (* -1/2 (/ x y))) (* -1/2 (/ x y)) -1/2 (/ x y) x y (cos (/ (PI) 2)) (/ (PI) 2) (PI) 2 (* (cos (* -1/2 (/ x y))) (sin (/ (PI) 2))) (cos (* -1/2 (/ x y))) (sin (/ (PI) 2)) (/ (/ (sin (/ x y)) (+ 1 (cos (/ x y)))) (sin (/ x (+ y y)))) (+ (* (/ 1/8 y) (* x (/ x y))) 1) (/ 1/8 y) 1/8 (* x (/ x y)) (/ (/ (neg (sin (/ x (* 2 y)))) (cos (+ (PI) (/ x (* 2 y))))) (sin (/ x (* y 2)))) (/ -1 (cos (+ (* 1/2 (/ x y)) (PI)))) -1 (cos (+ (* 1/2 (/ x y)) (PI))) (+ (* 1/2 (/ x y)) (PI)) 1/2 (/ (/ (sin (/ x y)) (+ 1 (cos (/ x y)))) (sin (/ x (+ y y)))) (/ (sin (/ x y)) (* (sin (* 1/2 (/ x y))) (+ (cos (/ x y)) 1))) (sin (/ x y)) (* (sin (* 1/2 (/ x y))) (+ (cos (/ x y)) 1)) (sin (* 1/2 (/ x y))) (* 1/2 (/ x y)) (+ (cos (/ x y)) 1) (cos (/ x y)) (/ (/ (cos (+ (/ (/ x y) 2) (/ (PI) 2))) (cos (+ (PI) (/ x (* 2 y))))) (sin (/ x (* y 2)))) (/ (cos (+ (/ (/ x y) 2) (/ (PI) 2))) (cos (+ (PI) (/ x (* 2 y))))) (cos (+ (/ (/ x y) 2) (/ (PI) 2))) (+ (/ (/ x y) 2) (/ (PI) 2)) (/ (/ x y) 2) (cos (+ (PI) (/ x (* 2 y)))) (+ (PI) (/ x (* 2 y))) (/ x (* 2 y)) (* 2 y) (sin (/ x (* y 2))) (/ x (* y 2)) (* y 2))

simplify202.0ms (4.2%)

Memory

-5.0MiB live, 284.5MiB allocated; 28ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1575	11153
1	5087	10858
0	8196	10440

Stop Event

1×	iter limit
1×	node limit

Counts

243 → 243

Calls

Call 1

Inputs
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(hole binary64 1))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(hole binary64 (+ 1 (* 1/8 (/ (pow x 2) (pow y 2))))))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(hole binary64 (+ 1 (* (pow x 2) (+ (* 5/384 (/ (pow x 2) (pow y 4))) (* 1/8 (/ 1 (pow y 2))))))))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(hole binary64 (+ 1 (* (pow x 2) (+ (* (pow x 2) (+ (* 61/46080 (/ (pow x 2) (pow y 6))) (* 5/384 (/ 1 (pow y 4))))) (* 1/8 (/ 1 (pow y 2))))))))
#s(approx (/ 1 (+ (* (sin (* -1/2 (/ x y))) (cos (/ (PI) 2))) (* (cos (* -1/2 (/ x y))) (sin (/ (PI) 2))))) #s(hole binary64 (/ 1 (sin (* 1/2 (PI))))))
#s(approx (/ 1 (+ (* (sin (* -1/2 (/ x y))) (cos (/ (PI) 2))) (* (cos (* -1/2 (/ x y))) (sin (/ (PI) 2))))) #s(hole binary64 (+ (* 1/2 (/ (* x (cos (* 1/2 (PI)))) (* y (pow (sin (* 1/2 (PI))) 2)))) (/ 1 (sin (* 1/2 (PI)))))))
#s(approx (/ 1 (+ (* (sin (* -1/2 (/ x y))) (cos (/ (PI) 2))) (* (cos (* -1/2 (/ x y))) (sin (/ (PI) 2))))) #s(hole binary64 (+ (* x (- (* x (- (* 1/8 (/ 1 (* (pow y 2) (sin (* 1/2 (PI)))))) (* -1/4 (/ (pow (cos (* 1/2 (PI))) 2) (* (pow y 2) (pow (sin (* 1/2 (PI))) 3)))))) (* -1/2 (/ (cos (* 1/2 (PI))) (* y (pow (sin (* 1/2 (PI))) 2)))))) (/ 1 (sin (* 1/2 (PI)))))))
#s(approx (/ 1 (+ (* (sin (* -1/2 (/ x y))) (cos (/ (PI) 2))) (* (cos (* -1/2 (/ x y))) (sin (/ (PI) 2))))) #s(hole binary64 (+ (* x (- (* x (- (+ (* -1 (* x (+ (* -1/2 (/ (* (cos (* 1/2 (PI))) (- (* 1/8 (/ 1 (* (pow y 2) (sin (* 1/2 (PI)))))) (* -1/4 (/ (pow (cos (* 1/2 (PI))) 2) (* (pow y 2) (pow (sin (* 1/2 (PI))) 3)))))) (* y (sin (* 1/2 (PI)))))) (+ (* -1/16 (/ (cos (* 1/2 (PI))) (* (pow y 3) (pow (sin (* 1/2 (PI))) 2)))) (* 1/48 (/ (cos (* 1/2 (PI))) (* (pow y 3) (pow (sin (* 1/2 (PI))) 2)))))))) (* 1/8 (/ 1 (* (pow y 2) (sin (* 1/2 (PI))))))) (* -1/4 (/ (pow (cos (* 1/2 (PI))) 2) (* (pow y 2) (pow (sin (* 1/2 (PI))) 3)))))) (* -1/2 (/ (cos (* 1/2 (PI))) (* y (pow (sin (* 1/2 (PI))) 2)))))) (/ 1 (sin (* 1/2 (PI)))))))
#s(approx (+ (* (sin (* -1/2 (/ x y))) (cos (/ (PI) 2))) (* (cos (* -1/2 (/ x y))) (sin (/ (PI) 2)))) #s(hole binary64 (sin (* 1/2 (PI)))))
#s(approx (+ (* (sin (* -1/2 (/ x y))) (cos (/ (PI) 2))) (* (cos (* -1/2 (/ x y))) (sin (/ (PI) 2)))) #s(hole binary64 (+ (sin (* 1/2 (PI))) (* -1/2 (/ (* x (cos (* 1/2 (PI)))) y)))))
#s(approx (+ (* (sin (* -1/2 (/ x y))) (cos (/ (PI) 2))) (* (cos (* -1/2 (/ x y))) (sin (/ (PI) 2)))) #s(hole binary64 (+ (sin (* 1/2 (PI))) (* x (+ (* -1/2 (/ (cos (* 1/2 (PI))) y)) (* -1/8 (/ (* x (sin (* 1/2 (PI)))) (pow y 2))))))))
#s(approx (+ (* (sin (* -1/2 (/ x y))) (cos (/ (PI) 2))) (* (cos (* -1/2 (/ x y))) (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 (* -1/2 (/ x y))) #s(hole binary64 (* -1/2 (/ x y))))
#s(approx (sin (* -1/2 (/ x y))) #s(hole binary64 (* x (- (* 1/48 (/ (pow x 2) (pow y 3))) (* 1/2 (/ 1 y))))))
#s(approx (sin (* -1/2 (/ x 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 (* -1/2 (/ x y))) #s(hole binary64 (* x (- (* (pow x 2) (+ (* (pow x 2) (- (* 1/645120 (/ (pow x 2) (pow y 7))) (* 1/3840 (/ 1 (pow y 5))))) (* 1/48 (/ 1 (pow y 3))))) (* 1/2 (/ 1 y))))))
#s(approx (* -1/2 (/ x y)) #s(hole binary64 (* -1/2 (/ x y))))
#s(approx (/ x y) #s(hole binary64 (/ x y)))
#s(approx x #s(hole binary64 x))
#s(approx (* (cos (* -1/2 (/ x y))) (sin (/ (PI) 2))) #s(hole binary64 (sin (* 1/2 (PI)))))
#s(approx (* (cos (* -1/2 (/ x y))) (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 (* -1/2 (/ x y))) (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 (* -1/2 (/ x y))) (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 (* -1/2 (/ x y))) #s(hole binary64 1))
#s(approx (cos (* -1/2 (/ x y))) #s(hole binary64 (+ 1 (* -1/8 (/ (pow x 2) (pow y 2))))))
#s(approx (cos (* -1/2 (/ x y))) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 1/384 (/ (pow x 2) (pow y 4))) (* 1/8 (/ 1 (pow y 2))))))))
#s(approx (cos (* -1/2 (/ x y))) #s(hole binary64 (+ 1 (* (pow x 2) (- (* (pow x 2) (+ (* -1/46080 (/ (pow x 2) (pow y 6))) (* 1/384 (/ 1 (pow y 4))))) (* 1/8 (/ 1 (pow y 2))))))))
#s(approx (/ (/ (sin (/ x y)) (+ 1 (cos (/ x y)))) (sin (/ x (+ y y)))) #s(hole binary64 1))
#s(approx (/ (/ (sin (/ x y)) (+ 1 (cos (/ x y)))) (sin (/ x (+ y y)))) #s(hole binary64 (+ 1 (* 1/8 (/ (pow x 2) (pow y 2))))))
#s(approx (/ (/ (sin (/ x y)) (+ 1 (cos (/ x y)))) (sin (/ x (+ y y)))) #s(hole binary64 (+ 1 (* (pow x 2) (+ (* 5/384 (/ (pow x 2) (pow y 4))) (* 1/8 (/ 1 (pow y 2))))))))
#s(approx (/ (/ (sin (/ x y)) (+ 1 (cos (/ x y)))) (sin (/ x (+ y y)))) #s(hole binary64 (+ 1 (* (pow x 2) (+ (* (pow x 2) (+ (* 5/384 (/ 1 (pow y 4))) (* (pow x 2) (- (* 35/9216 (/ 1 (pow y 6))) (* 19/7680 (/ 1 (pow y 6))))))) (* 1/8 (/ 1 (pow y 2))))))))
#s(approx (+ (* (/ 1/8 y) (* x (/ x y))) 1) #s(hole binary64 1))
#s(approx (+ (* (/ 1/8 y) (* x (/ x y))) 1) #s(hole binary64 (+ 1 (* 1/8 (/ (pow x 2) (pow y 2))))))
#s(approx (* x (/ x y)) #s(hole binary64 (/ (pow x 2) y)))
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Outputs
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#s(approx (/ (/ (sin (/ x y)) (+ 1 (cos (/ x y)))) (sin (/ x (+ y y)))) #s(literal 1 binary64))
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#s(approx (sin (* 1/2 (/ x y))) #s(hole binary64 (* -1 (/ (+ (* -1/2 x) (+ (* -1/3840 (/ (pow x 5) (pow y 4))) (* 1/48 (/ (pow x 3) (pow y 2))))) y))))
#s(approx (sin (* 1/2 (/ x y))) (neg.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) x (fma.f64 (/.f64 (pow.f64 x #s(literal 5 binary64)) (pow.f64 y #s(literal 4 binary64))) #s(literal -1/3840 binary64) (/.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/48 binary64)) (.f64 y y)))) y)))
#s(approx (sin (* 1/2 (/ x y))) #s(hole binary64 (* -1 (/ (+ (* -1/2 x) (+ (* -1/3840 (/ (pow x 5) (pow y 4))) (+ (* 1/645120 (/ (pow x 7) (pow y 6))) (* 1/48 (/ (pow x 3) (pow y 2)))))) y))))
#s(approx (sin (* 1/2 (/ x y))) (neg.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) x (fma.f64 (/.f64 (pow.f64 x #s(literal 5 binary64)) (pow.f64 y #s(literal 4 binary64))) #s(literal -1/3840 binary64) (fma.f64 (/.f64 (pow.f64 x #s(literal 7 binary64)) (pow.f64 y #s(literal 6 binary64))) #s(literal 1/645120 binary64) (/.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/48 binary64)) (.f64 y y))))) y)))
#s(approx (/ (/ (cos (+ (/ (/ x y) 2) (/ (PI) 2))) (cos (+ (PI) (/ x (* 2 y))))) (sin (/ x (* y 2)))) #s(hole binary64 (* -1 (* y (+ (* -2 (/ (cos (* 1/2 (PI))) (* x (cos (PI))))) (* -1 (/ (- (* -1 (/ (sin (* 1/2 (PI))) (cos (PI)))) (* -1 (/ (* (cos (* 1/2 (PI))) (sin (PI))) (pow (cos (PI)) 2)))) y)))))))
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#s(approx (/ (/ (cos (+ (/ (/ x y) 2) (/ (PI) 2))) (cos (+ (PI) (/ x (* 2 y))))) (sin (/ x (* y 2)))) #s(hole binary64 (* -1 (* y (+ (* -2 (/ (cos (* 1/2 (PI))) (* x (cos (PI))))) (* -1 (/ (- (+ (* -1 (/ (sin (* 1/2 (PI))) (cos (PI)))) (* -1 (/ (- (* 1/4 (/ (* x (cos (* 1/2 (PI)))) (cos (PI)))) (+ (* 1/2 (/ (* x (* (sin (PI)) (- (* -1 (/ (sin (* 1/2 (PI))) (cos (PI)))) (* -1 (/ (* (cos (* 1/2 (PI))) (sin (PI))) (pow (cos (PI)) 2)))))) (cos (PI)))) (* 4 (/ (* (cos (* 1/2 (PI))) (+ (* 1/48 (* (pow x 3) (cos (PI)))) (* 1/16 (* (pow x 3) (cos (PI)))))) (* (pow x 2) (pow (cos (PI)) 2)))))) y))) (* -1 (/ (* (cos (* 1/2 (PI))) (sin (PI))) (pow (cos (PI)) 2)))) y)))))))
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#s(approx (/ (/ (cos (+ (/ (/ x y) 2) (/ (PI) 2))) (cos (+ (PI) (/ x (* 2 y))))) (sin (/ x (* y 2)))) #s(hole binary64 (* -1 (* y (+ (* -2 (/ (cos (* 1/2 (PI))) (* x (cos (PI))))) (* -1 (/ (- (+ (* -1 (/ (sin (* 1/2 (PI))) (cos (PI)))) (* -1 (/ (- (+ (* -1 (/ (- (* 1/24 (/ (* (pow x 2) (sin (* 1/2 (PI)))) (cos (PI)))) (+ (* -2 (/ (* (+ (* 1/48 (* (pow x 3) (cos (PI)))) (* 1/16 (* (pow x 3) (cos (PI))))) (- (* -1 (/ (sin (* 1/2 (PI))) (cos (PI)))) (* -1 (/ (* (cos (* 1/2 (PI))) (sin (PI))) (pow (cos (PI)) 2))))) (* x (cos (PI))))) (+ (* 1/12 (/ (* (pow x 2) (* (cos (* 1/2 (PI))) (sin (PI)))) (pow (cos (PI)) 2))) (* 1/2 (/ (* x (* (sin (PI)) (- (* 1/4 (/ (* x (cos (* 1/2 (PI)))) (cos (PI)))) (+ (* 1/2 (/ (* x (* (sin (PI)) (- (* -1 (/ (sin (* 1/2 (PI))) (cos (PI)))) (* -1 (/ (* (cos (* 1/2 (PI))) (sin (PI))) (pow (cos (PI)) 2)))))) (cos (PI)))) (* 4 (/ (* (cos (* 1/2 (PI))) (+ (* 1/48 (* (pow x 3) (cos (PI)))) (* 1/16 (* (pow x 3) (cos (PI)))))) (* (pow x 2) (pow (cos (PI)) 2)))))))) (cos (PI))))))) y)) (* 1/4 (/ (* x (cos (* 1/2 (PI)))) (cos (PI))))) (+ (* 1/2 (/ (* x (* (sin (PI)) (- (* -1 (/ (sin (* 1/2 (PI))) (cos (PI)))) (* -1 (/ (* (cos (* 1/2 (PI))) (sin (PI))) (pow (cos (PI)) 2)))))) (cos (PI)))) (* 4 (/ (* (cos (* 1/2 (PI))) (+ (* 1/48 (* (pow x 3) (cos (PI)))) (* 1/16 (* (pow x 3) (cos (PI)))))) (* (pow x 2) (pow (cos (PI)) 2)))))) y))) (* -1 (/ (* (cos (* 1/2 (PI))) (sin (PI))) (pow (cos (PI)) 2)))) y)))))))
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#s(approx (/ (cos (+ (/ (/ x y) 2) (/ (PI) 2))) (cos (+ (PI) (/ x (* 2 y))))) #s(hole binary64 (+ (* -1 (/ (- (* 1/2 (/ (* x (sin (* 1/2 (PI)))) (cos (PI)))) (* 1/2 (/ (* x (* (cos (* 1/2 (PI))) (sin (PI)))) (pow (cos (PI)) 2)))) y)) (/ (cos (* 1/2 (PI))) (cos (PI))))))
#s(approx (/ (cos (+ (/ (/ x y) 2) (/ (PI) 2))) (cos (+ (PI) (/ x (* 2 y))))) (fma.f64 (/.f64 (.f64 #s(literal 1/2 binary64) (fma.f64 x (/.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) (PI.f64))) #s(literal -1 binary64)) (.f64 (.f64 #s(literal 0 binary64) (cos.f64 (.f64 #s(literal -1/2 binary64) (PI.f64)))) x))) y) #s(literal -1 binary64) (/.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) (PI.f64))) #s(literal -1 binary64))))
#s(approx (/ (cos (+ (/ (/ x y) 2) (/ (PI) 2))) (cos (+ (PI) (/ x (* 2 y))))) #s(hole binary64 (+ (* -1 (/ (- (+ (* 1/2 (/ (* x (sin (* 1/2 (PI)))) (cos (PI)))) (* 1/2 (/ (* x (* (sin (PI)) (- (* 1/2 (/ (* x (sin (* 1/2 (PI)))) (cos (PI)))) (* 1/2 (/ (* x (* (cos (* 1/2 (PI))) (sin (PI)))) (pow (cos (PI)) 2)))))) (* y (cos (PI)))))) (* 1/2 (/ (* x (* (cos (* 1/2 (PI))) (sin (PI)))) (pow (cos (PI)) 2)))) y)) (/ (cos (* 1/2 (PI))) (cos (PI))))))
#s(approx (/ (cos (+ (/ (/ x y) 2) (/ (PI) 2))) (cos (+ (PI) (/ x (* 2 y))))) (fma.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) (PI.f64))) x (/.f64 (.f64 (.f64 #s(literal 0 binary64) x) (.f64 #s(literal 1/2 binary64) (fma.f64 x (/.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) (PI.f64))) #s(literal -1 binary64)) (.f64 (.f64 #s(literal 0 binary64) (cos.f64 (.f64 #s(literal -1/2 binary64) (PI.f64)))) x)))) y)) #s(literal -1 binary64)) (.f64 (.f64 (.f64 #s(literal 0 binary64) (cos.f64 (.f64 #s(literal -1/2 binary64) (PI.f64)))) x) #s(literal -1/2 binary64))) y) #s(literal -1 binary64) (/.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (PI.f64))) #s(literal -1 binary64))))
#s(approx (/ (cos (+ (/ (/ x y) 2) (/ (PI) 2))) (cos (+ (PI) (/ x (* 2 y))))) #s(hole binary64 (+ (* -1 (/ (- (+ (* -1 (/ (- (* -1 (/ (- (* -1/48 (/ (* (pow x 3) (sin (* 1/2 (PI)))) (cos (PI)))) (+ (* -1/4 (/ (* (pow x 2) (* (pow (sin (PI)) 2) (- (* 1/2 (/ (* x (sin (* 1/2 (PI)))) (cos (PI)))) (* 1/2 (/ (* x (* (cos (* 1/2 (PI))) (sin (PI)))) (pow (cos (PI)) 2)))))) (pow (cos (PI)) 2))) (+ (* -1/8 (* (pow x 2) (- (* 1/2 (/ (* x (sin (* 1/2 (PI)))) (cos (PI)))) (* 1/2 (/ (* x (* (cos (* 1/2 (PI))) (sin (PI)))) (pow (cos (PI)) 2)))))) (* -1/48 (/ (* (pow x 3) (* (cos (* 1/2 (PI))) (sin (PI)))) (pow (cos (PI)) 2)))))) y)) (* 1/2 (/ (* x (* (sin (PI)) (- (* 1/2 (/ (* x (sin (* 1/2 (PI)))) (cos (PI)))) (* 1/2 (/ (* x (* (cos (* 1/2 (PI))) (sin (PI)))) (pow (cos (PI)) 2)))))) (cos (PI))))) y)) (* 1/2 (/ (* x (sin (* 1/2 (PI)))) (cos (PI))))) (* 1/2 (/ (* x (* (cos (* 1/2 (PI))) (sin (PI)))) (pow (cos (PI)) 2)))) y)) (/ (cos (* 1/2 (PI))) (cos (PI))))))
#s(approx (/ (cos (+ (/ (/ x y) 2) (/ (PI) 2))) (cos (+ (PI) (/ x (* 2 y))))) (fma.f64 (/.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 (-.f64 (.f64 (/.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) (sin.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)))) #s(literal -1 binary64)) #s(literal -1/48 binary64)) (fma.f64 (/.f64 (.f64 (.f64 #s(literal 0 binary64) (.f64 x x)) (.f64 #s(literal 1/2 binary64) (fma.f64 x (/.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) (PI.f64))) #s(literal -1 binary64)) (.f64 (.f64 #s(literal 0 binary64) (cos.f64 (.f64 #s(literal -1/2 binary64) (PI.f64)))) x)))) #s(literal 1 binary64)) #s(literal -1/4 binary64) (fma.f64 (.f64 #s(literal -1/8 binary64) (.f64 x x)) (.f64 #s(literal 1/2 binary64) (fma.f64 x (/.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) (PI.f64))) #s(literal -1 binary64)) (.f64 (.f64 #s(literal 0 binary64) (cos.f64 (.f64 #s(literal -1/2 binary64) (PI.f64)))) x))) (.f64 (.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) (cos.f64 (.f64 #s(literal -1/2 binary64) (PI.f64)))) #s(literal 0 binary64)) #s(literal -1/48 binary64))))) y) #s(literal -1 binary64) (.f64 #s(literal -1/2 binary64) (/.f64 (.f64 (.f64 #s(literal 0 binary64) x) (.f64 #s(literal 1/2 binary64) (fma.f64 x (/.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) (PI.f64))) #s(literal -1 binary64)) (.f64 (.f64 #s(literal 0 binary64) (cos.f64 (.f64 #s(literal -1/2 binary64) (PI.f64)))) x)))) #s(literal -1 binary64)))) y) #s(literal -1 binary64) (.f64 #s(literal 1/2 binary64) (fma.f64 x (/.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) (PI.f64))) #s(literal -1 binary64)) (.f64 (.f64 #s(literal 0 binary64) (cos.f64 (.f64 #s(literal -1/2 binary64) (PI.f64)))) x)))) y) #s(literal -1 binary64) (/.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) (PI.f64))) #s(literal -1 binary64))))
#s(approx (cos (+ (/ (/ x y) 2) (/ (PI) 2))) #s(hole binary64 (+ (cos (* 1/2 (PI))) (* -1 (/ (- (* 1/8 (/ (* (pow x 2) (cos (* 1/2 (PI)))) y)) (* -1/2 (* x (sin (* 1/2 (PI)))))) y)))))
#s(approx (cos (+ (/ (/ x y) 2) (/ (PI) 2))) (fma.f64 (/.f64 (fma.f64 (/.f64 (.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) (PI.f64))) (.f64 x x)) y) #s(literal 1/8 binary64) (.f64 (.f64 #s(literal 1/2 binary64) x) (sin.f64 (.f64 #s(literal 1/2 binary64) (PI.f64))))) y) #s(literal -1 binary64) (cos.f64 (*.f64 #s(literal -1/2 binary64) (PI.f64)))))
#s(approx (cos (+ (/ (/ x y) 2) (/ (PI) 2))) #s(hole binary64 (+ (cos (* 1/2 (PI))) (* -1 (/ (- (* -1 (/ (+ (* -1/8 (* (pow x 2) (cos (* 1/2 (PI))))) (* 1/48 (/ (* (pow x 3) (sin (* 1/2 (PI)))) y))) y)) (* -1/2 (* x (sin (* 1/2 (PI)))))) y)))))
#s(approx (cos (+ (/ (/ x y) 2) (/ (PI) 2))) (fma.f64 (/.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) (sin.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)))) y) #s(literal 1/48 binary64) (.f64 (.f64 #s(literal -1/8 binary64) (.f64 x x)) (cos.f64 (.f64 #s(literal -1/2 binary64) (PI.f64))))) y) #s(literal -1 binary64) (.f64 (.f64 #s(literal 1/2 binary64) x) (sin.f64 (.f64 #s(literal 1/2 binary64) (PI.f64))))) y) #s(literal -1 binary64) (cos.f64 (.f64 #s(literal -1/2 binary64) (PI.f64)))))
#s(approx (cos (+ (PI) (/ x (* 2 y)))) #s(hole binary64 (+ (cos (PI)) (* -1 (/ (- (* 1/8 (/ (* (pow x 2) (cos (PI))) y)) (* -1/2 (* x (sin (PI))))) y)))))
#s(approx (cos (+ (PI) (/ x (* 2 y)))) (fma.f64 (/.f64 (fma.f64 (/.f64 (.f64 #s(literal -1 binary64) (.f64 x x)) y) #s(literal 1/8 binary64) (.f64 (.f64 #s(literal 1/2 binary64) x) #s(literal 0 binary64))) y) #s(literal -1 binary64) #s(literal -1 binary64)))
#s(approx (cos (+ (PI) (/ x (* 2 y)))) #s(hole binary64 (+ (cos (PI)) (* -1 (/ (- (* -1 (/ (+ (* -1/8 (* (pow x 2) (cos (PI)))) (* 1/48 (/ (* (pow x 3) (sin (PI))) y))) y)) (* -1/2 (* x (sin (PI))))) y)))))
#s(approx (cos (+ (PI) (/ x (* 2 y)))) (fma.f64 (/.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 0 binary64)) y) #s(literal 1/48 binary64) (.f64 (.f64 #s(literal -1 binary64) (.f64 x x)) #s(literal -1/8 binary64))) y) #s(literal -1 binary64) (.f64 (.f64 #s(literal 1/2 binary64) x) #s(literal 0 binary64))) y) #s(literal -1 binary64) #s(literal -1 binary64)))
#s(approx (sin (/ x (* y 2))) #s(hole binary64 (* -1 (/ (+ (* -1/2 x) (* 1/48 (/ (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))) (neg.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) x (fma.f64 (/.f64 (pow.f64 x #s(literal 5 binary64)) (pow.f64 y #s(literal 4 binary64))) #s(literal -1/3840 binary64) (/.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/48 binary64)) (.f64 y y)))) y)))
#s(approx (sin (/ x (* y 2))) #s(hole binary64 (* -1 (/ (+ (* -1/2 x) (+ (* -1/3840 (/ (pow x 5) (pow y 4))) (+ (* 1/645120 (/ (pow x 7) (pow y 6))) (* 1/48 (/ (pow x 3) (pow y 2)))))) y))))
#s(approx (sin (/ x (* y 2))) (neg.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) x (fma.f64 (/.f64 (pow.f64 x #s(literal 5 binary64)) (pow.f64 y #s(literal 4 binary64))) #s(literal -1/3840 binary64) (fma.f64 (/.f64 (pow.f64 x #s(literal 7 binary64)) (pow.f64 y #s(literal 6 binary64))) #s(literal 1/645120 binary64) (/.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/48 binary64)) (.f64 y y))))) y)))

rewrite82.0ms (1.7%)

Memory

24.9MiB live, 80.5MiB allocated; 5ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	71	436
0	112	358
0	393	358

Stop Event

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

Counts

48 → 153

Calls

Call 1

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

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

eval109.0ms (2.3%)

Memory: 9.8MiB live, 144.5MiB allocated; 16ms collecting garbage
Compiler: Compiled 22 092 to 2 307 computations (89.6% saved)

prune79.0ms (1.6%)

Memory

-19.2MiB live, 120.0MiB allocated; 28ms collecting garbage

Pruning

44 alts after pruning (37 fresh and 7 done)

	Pruned	Kept	Total
New	415	22	437
Fresh	5	15	20
Picked	2	3	5
Done	0	4	4
Total	422	44	466

Accuracy

59.3%

Counts

466 → 44

Alt Table

Click to see full alt table

Status	Accuracy	Program
	7.1%	(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x y))) (sin.f64 (/.f64 x y))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
	6.5%	(/.f64 (/.f64 (+.f64 (tan.f64 (/.f64 x (.f64 #s(literal 2 binary64) y))) (tan.f64 (PI.f64))) (-.f64 #s(literal 1 binary64) (.f64 (tan.f64 (/.f64 x (.f64 #s(literal 2 binary64) y))) (tan.f64 (PI.f64))))) (sin.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))))
	40.2%	(/.f64 (/.f64 (sin.f64 (/.f64 x y)) (+.f64 #s(literal 1 binary64) (sin.f64 (+.f64 (/.f64 x y) (/.f64 (PI.f64) #s(literal 2 binary64)))))) (sin.f64 (/.f64 x (+.f64 y y))))
✓	40.7%	(/.f64 (/.f64 (sin.f64 (/.f64 x y)) (+.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x y)))) (sin.f64 (/.f64 x (+.f64 y y))))
	40.5%	(/.f64 (/.f64 (neg.f64 (sin.f64 (/.f64 x (.f64 #s(literal 2 binary64) y)))) (sin.f64 (+.f64 (+.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64)) (PI.f64)) (/.f64 (PI.f64) #s(literal 2 binary64))))) (sin.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))))
	40.5%	(/.f64 (/.f64 (neg.f64 (sin.f64 (/.f64 x (.f64 #s(literal 2 binary64) y)))) (cos.f64 #s(approx (+ (PI) (/ x ( 2 y))) (.f64 (+.f64 (/.f64 (PI.f64) x) (/.f64 #s(literal 1/2 binary64) y)) x)))) (sin.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))))
	6.3%	(/.f64 (/.f64 (cos.f64 (+.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64)))) (-.f64 (.f64 (cos.f64 (PI.f64)) (cos.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64)))) (.f64 (sin.f64 (PI.f64)) (sin.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64)))))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
	5.8%	(/.f64 (/.f64 (cos.f64 (+.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)) (PI.f64)) (/.f64 (PI.f64) #s(literal 2 binary64))))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
	6.3%	(/.f64 (/.f64 (cos.f64 (+.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64)))) (cos.f64 #s(approx (+ (PI) (/ x (* 2 y))) (.f64 (+.f64 (/.f64 (PI.f64) x) (/.f64 #s(literal 1/2 binary64) y)) x)))) (sin.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))))
	4.6%	(/.f64 (/.f64 (cos.f64 (+.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64)))) #s(approx (cos (+ (PI) (/ x (* 2 y)))) #s(literal -1 binary64))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
	6.4%	(/.f64 (/.f64 (cos.f64 #s(approx (+ (/ (/ x y) 2) (/ (PI) 2)) (.f64 (fma.f64 (/.f64 (PI.f64) x) #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) y)) x))) (cos.f64 (+.f64 (PI.f64) (/.f64 x (.f64 #s(literal 2 binary64) y))))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
	4.8%	(/.f64 (/.f64 (cos.f64 #s(approx (+ (/ (/ x y) 2) (/ (PI) 2)) (.f64 #s(literal 1/2 binary64) (/.f64 x y)))) (cos.f64 (+.f64 (PI.f64) (/.f64 x (.f64 #s(literal 2 binary64) y))))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
	16.4%	(/.f64 (tan.f64 (/.f64 x (/.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (fma.f64 y y (-.f64 (.f64 y y) (.f64 y y)))))) (sin.f64 (/.f64 x (+.f64 y y))))
	16.3%	(/.f64 (tan.f64 (/.f64 x (+.f64 y y))) (sin.f64 (/.f64 x (/.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (fma.f64 y y (-.f64 (.f64 y y) (.f64 y y)))))))
✓	40.7%	(/.f64 (tan.f64 (/.f64 x (+.f64 y y))) (sin.f64 (/.f64 x (+.f64 y y))))
	40.7%	(/.f64 #s(approx (/ (sin (/ x y)) (+ 1 (cos (/ x y)))) (/.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) (/.f64 x y))) (cos.f64 (.f64 #s(literal 1/2 binary64) (/.f64 x y))))) (sin.f64 (/.f64 x (+.f64 y y))))
	40.1%	(/.f64 #s(approx (/ (neg (sin (/ x (* 2 y)))) (cos (+ (PI) (/ x (* 2 y))))) (/.f64 (sin.f64 (.f64 (/.f64 x y) #s(literal -1/2 binary64))) (cos.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 x y) (PI.f64))))) (sin.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))))
✓	48.6%	#s(approx (/ (/ (sin (/ x y)) (+ 1 (cos (/ x y)))) (sin (/ x (+ y y)))) (fma.f64 (/.f64 #s(literal 1/8 binary64) y) (*.f64 x (/.f64 x y)) #s(literal 1 binary64)))
	40.4%	#s(approx (/ (/ (sin (/ x y)) (+ 1 (cos (/ x y)))) (sin (/ x (+ y y)))) (/.f64 (/.f64 (sin.f64 (/.f64 x y)) (sin.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y)))) (+.f64 (cos.f64 (/.f64 x y)) #s(literal 1 binary64))))
	40.4%	#s(approx (/ (/ (sin (/ x y)) (+ 1 (cos (/ x y)))) (sin (/ x (+ y y)))) (/.f64 (sin.f64 (/.f64 x y)) (+.f64 (.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) (/.f64 x y))) (cos.f64 (/.f64 x y))) (.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) (/.f64 x y))) #s(literal 1 binary64)))))
	40.4%	#s(approx (/ (/ (sin (/ x y)) (+ 1 (cos (/ x y)))) (sin (/ x (+ y y)))) (/.f64 (sin.f64 (/.f64 x y)) (.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) (/.f64 x y))) (/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 (/.f64 x y)) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (.f64 (cos.f64 (/.f64 x y)) (cos.f64 (/.f64 x y))) (.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x y)))))))))
	39.8%	#s(approx (/ (/ (sin (/ x y)) (+ 1 (cos (/ x y)))) (sin (/ x (+ y y)))) (/.f64 (sin.f64 (/.f64 x y)) (.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) (/.f64 x y))) (+.f64 (sin.f64 (+.f64 (/.f64 x y) (/.f64 (PI.f64) #s(literal 2 binary64)))) #s(literal 1 binary64)))))
✓	40.4%	#s(approx (/ (/ (sin (/ x y)) (+ 1 (cos (/ x y)))) (sin (/ x (+ y y)))) (/.f64 (sin.f64 (/.f64 x y)) (.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) (/.f64 x y))) (+.f64 (cos.f64 (/.f64 x y)) #s(literal 1 binary64)))))
	1.0%	#s(approx (/ (/ (neg (sin (/ x (* 2 y)))) (cos (+ (PI) (/ x (* 2 y))))) (sin (/ x (* y 2)))) (/.f64 (fma.f64 (fma.f64 (/.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) (PI.f64))) #s(literal -1 binary64)) #s(literal -1 binary64) (fma.f64 (-.f64 (.f64 (/.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) (PI.f64))) (.f64 #s(literal -1 binary64) y)) #s(literal -1/4 binary64)) (fma.f64 (.f64 (/.f64 #s(literal 0 binary64) y) (/.f64 (fma.f64 (/.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) (PI.f64))) #s(literal -1 binary64)) #s(literal -1 binary64) (.f64 #s(literal 0 binary64) (cos.f64 (.f64 #s(literal -1/2 binary64) (PI.f64))))) #s(literal -1 binary64))) #s(literal -1/2 binary64) (.f64 (/.f64 (.f64 (.f64 (/.f64 #s(literal 1/12 binary64) (pow.f64 y #s(literal 3 binary64))) (cos.f64 (.f64 #s(literal -1/2 binary64) (PI.f64)))) (.f64 y y)) #s(literal 1 binary64)) #s(literal 4 binary64)))) x (.f64 #s(literal 0 binary64) (cos.f64 (.f64 #s(literal -1/2 binary64) (PI.f64)))))) x (.f64 (.f64 y (/.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) (PI.f64))) #s(literal -1 binary64))) #s(literal 2 binary64))) x))
	53.2%	#s(approx (/ (/ (neg (sin (/ x (* 2 y)))) (cos (+ (PI) (/ x (* 2 y))))) (sin (/ x (* y 2)))) (/.f64 #s(literal -1 binary64) (-.f64 (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) (/.f64 x y))) (cos.f64 (PI.f64))) (.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) (/.f64 x y))) (sin.f64 (PI.f64))))))
	53.0%	#s(approx (/ (/ (neg (sin (/ x (* 2 y)))) (cos (+ (PI) (/ x (* 2 y))))) (sin (/ x (* y 2)))) (/.f64 #s(literal -1 binary64) (sin.f64 (+.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 x y) (PI.f64)) (/.f64 (PI.f64) #s(literal 2 binary64))))))
✓	52.6%	#s(approx (/ (/ (neg (sin (/ x (* 2 y)))) (cos (+ (PI) (/ x (* 2 y))))) (sin (/ x (* y 2)))) (/.f64 #s(literal -1 binary64) (cos.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 x y) (PI.f64)))))
	52.6%	#s(approx (/ (/ (neg (sin (/ x (* 2 y)))) (cos (+ (PI) (/ x (* 2 y))))) (sin (/ x (* y 2)))) (/.f64 #s(literal -1 binary64) (cos.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 x y) (PI.f64)))))
	53.0%	#s(approx (/ (/ (neg (sin (/ x (* 2 y)))) (cos (+ (PI) (/ x (* 2 y))))) (sin (/ x (* y 2)))) (/.f64 #s(literal -1 binary64) (cos.f64 #s(approx (+ (* 1/2 (/ x y)) (PI)) (*.f64 (+.f64 (/.f64 (PI.f64) x) (/.f64 #s(literal 1/2 binary64) y)) x)))))
	4.5%	#s(approx (/ (/ (neg (sin (/ x (* 2 y)))) (cos (+ (PI) (/ x (* 2 y))))) (sin (/ x (* y 2)))) (/.f64 #s(literal -1 binary64) (cos.f64 #s(approx (+ (* 1/2 (/ x y)) (PI)) (*.f64 #s(literal 1/2 binary64) (/.f64 x y))))))
	46.8%	#s(approx (/ (/ (neg (sin (/ x (* 2 y)))) (cos (+ (PI) (/ x (* 2 y))))) (sin (/ x (* y 2)))) (/.f64 #s(literal -1 binary64) #s(approx (cos (+ (* 1/2 (/ x y)) (PI))) (fma.f64 (/.f64 (fma.f64 (/.f64 (.f64 #s(literal -1 binary64) (.f64 x x)) y) #s(literal 1/8 binary64) (.f64 (.f64 #s(literal 1/2 binary64) x) #s(literal 0 binary64))) y) #s(literal -1 binary64) #s(literal -1 binary64)))))
	47.6%	#s(approx (/ (/ (neg (sin (/ x (* 2 y)))) (cos (+ (PI) (/ x (* 2 y))))) (sin (/ x (* y 2)))) (/.f64 #s(literal -1 binary64) #s(approx (cos (+ (* 1/2 (/ x y)) (PI))) (fma.f64 (-.f64 (/.f64 (.f64 #s(literal -1/8 binary64) (neg.f64 x)) (.f64 y y)) (/.f64 #s(literal 0 binary64) y)) x #s(literal -1 binary64)))))
	1.1%	#s(approx (/ (/ (neg (sin (/ x (* 2 y)))) (cos (+ (PI) (/ x (* 2 y))))) (sin (/ x (* y 2)))) (.f64 (neg.f64 y) (fma.f64 #s(literal -2 binary64) (/.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) (PI.f64))) (neg.f64 x)) (neg.f64 (/.f64 (fma.f64 #s(literal -1 binary64) (+.f64 (/.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) (PI.f64))) #s(literal -1 binary64)) (/.f64 (-.f64 (.f64 (.f64 x (/.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) (PI.f64))) #s(literal -1 binary64))) #s(literal 1/4 binary64)) (fma.f64 (/.f64 (.f64 (.f64 #s(literal 0 binary64) x) (fma.f64 (/.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) (PI.f64))) #s(literal -1 binary64)) #s(literal -1 binary64) (.f64 #s(literal 0 binary64) (cos.f64 (.f64 #s(literal -1/2 binary64) (PI.f64)))))) #s(literal -1 binary64)) #s(literal 1/2 binary64) (.f64 (/.f64 (.f64 (.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) #s(literal 1/12 binary64)) (cos.f64 (.f64 #s(literal -1/2 binary64) (PI.f64)))) (.f64 x x)) #s(literal 4 binary64)))) y)) (.f64 #s(literal 0 binary64) (cos.f64 (.f64 #s(literal -1/2 binary64) (PI.f64))))) y)))))
	53.2%	#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (fma.f64 (sin.f64 (.f64 #s(literal -1/2 binary64) (/.f64 x y))) (cos.f64 (/.f64 (PI.f64) #s(literal 2 binary64))) (.f64 (cos.f64 (*.f64 (/.f64 x y) #s(literal -1/2 binary64))) #s(literal 1 binary64)))))
	52.4%	#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (fma.f64 (sin.f64 (.f64 #s(literal -1/2 binary64) (/.f64 x y))) (cos.f64 (/.f64 (PI.f64) #s(literal 2 binary64))) #s(approx ( (cos (* -1/2 (/ x y))) (sin (/ (PI) 2))) (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)))))))
	52.3%	#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (sin.f64 #s(approx (+ (* (/ x y) -1/2) (/ (PI) 2)) (/.f64 (fma.f64 (.f64 (PI.f64) y) #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) x)) y)))))
	4.8%	#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (sin.f64 #s(approx (+ (* (/ x y) -1/2) (/ (PI) 2)) (*.f64 (/.f64 x y) #s(literal -1/2 binary64))))))
	52.7%	#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (sin.f64 #s(approx (+ (* (/ x y) -1/2) (/ (PI) 2)) (.f64 (-.f64 (.f64 (/.f64 (PI.f64) x) #s(literal 1/2 binary64)) (/.f64 #s(literal 1/2 binary64) y)) x)))))
✓	53.2%	#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y)))))
	49.2%	#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) #s(approx (+ (* (sin (* -1/2 (/ x y))) (cos (/ (PI) 2))) (* (cos (* -1/2 (/ x y))) (sin (/ (PI) 2)))) (fma.f64 (.f64 x (/.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) (PI.f64))) y)) #s(literal -1/2 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)))))))
	49.3%	#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) #s(approx (sin (+ (* (/ x y) -1/2) (/ (PI) 2))) (fma.f64 (*.f64 x (/.f64 x y)) (/.f64 #s(literal -1/8 binary64) y) #s(literal 1 binary64)))))
	26.6%	#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) #s(approx (cos (* -1/2 (/ x y))) #s(approx (+ (* (/ -1/8 y) (/ (* x x) y)) 1) (/.f64 (fma.f64 #s(literal -1/8 binary64) (.f64 x x) (.f64 y y)) (*.f64 y y))))))
	2.2%	#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) #s(approx (cos (* -1/2 (/ x y))) #s(approx (+ (* (/ -1/8 y) (/ (* x x) y)) 1) (.f64 (.f64 x (/.f64 x y)) (/.f64 #s(literal -1/8 binary64) y))))))
✓	53.7%	#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(literal 1 binary64))

Compiler

Compiled 3 935 to 1 491 computations (62.1% saved)

regimes105.0ms (2.2%)

Memory

-9.6MiB live, 179.7MiB allocated; 29ms collecting garbage

Counts

65 → 2

Calls

Call 1

Inputs
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(literal 1 binary64))
#s(approx (/ (/ (sin (/ x y)) (+ 1 (cos (/ x y)))) (sin (/ x (+ y y)))) (fma.f64 (/.f64 #s(literal 1/8 binary64) y) (*.f64 x (/.f64 x y)) #s(literal 1 binary64)))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) #s(approx (cos (* -1/2 (/ x y))) #s(approx (+ (* (/ -1/8 y) (/ (* x x) y)) 1) (.f64 (.f64 x (/.f64 x y)) (/.f64 #s(literal -1/8 binary64) y))))))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) #s(approx (cos (* -1/2 (/ x y))) #s(approx (+ (* (/ -1/8 y) (/ (* x x) y)) 1) (/.f64 (fma.f64 #s(literal -1/8 binary64) (.f64 x x) (.f64 y y)) (*.f64 y y))))))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) #s(approx (cos (* -1/2 (/ x y))) (fma.f64 (/.f64 #s(literal -1/8 binary64) y) (/.f64 (*.f64 x x) y) #s(literal 1 binary64)))))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) #s(approx (sin (+ (* (/ x y) -1/2) (/ (PI) 2))) (fma.f64 (*.f64 x (/.f64 x y)) (/.f64 #s(literal -1/8 binary64) y) #s(literal 1 binary64)))))
#s(approx (/ (/ (neg (sin (/ x (* 2 y)))) (cos (+ (PI) (/ x (* 2 y))))) (sin (/ x (* y 2)))) (/.f64 #s(literal -1 binary64) #s(approx (cos (+ (* 1/2 (/ x y)) (PI))) (fma.f64 (-.f64 (/.f64 (.f64 #s(literal -1/8 binary64) (neg.f64 x)) (.f64 y y)) (/.f64 #s(literal 0 binary64) y)) x #s(literal -1 binary64)))))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) #s(approx (cos (* -1/2 (/ x y))) #s(approx (+ (* (/ -1/8 y) (/ (* x x) y)) 1) (.f64 (-.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (/.f64 #s(literal 1/8 binary64) (.f64 y y))) (.f64 x x))))))
#s(approx (/ (/ (neg (sin (/ x (* 2 y)))) (cos (+ (PI) (/ x (* 2 y))))) (sin (/ x (* y 2)))) (/.f64 #s(literal -1 binary64) #s(approx (cos (+ (* 1/2 (/ x y)) (PI))) (fma.f64 (/.f64 (fma.f64 (/.f64 (.f64 #s(literal -1 binary64) (.f64 x x)) y) #s(literal 1/8 binary64) (.f64 (.f64 #s(literal 1/2 binary64) x) #s(literal 0 binary64))) y) #s(literal -1 binary64) #s(literal -1 binary64)))))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y)))))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (sin.f64 #s(approx (+ (* (/ x y) -1/2) (/ (PI) 2)) (*.f64 (/.f64 x y) #s(literal -1/2 binary64))))))
#s(approx (/ (/ (neg (sin (/ x (* 2 y)))) (cos (+ (PI) (/ x (* 2 y))))) (sin (/ x (* y 2)))) (/.f64 #s(literal -1 binary64) (cos.f64 #s(approx (+ (* 1/2 (/ x y)) (PI)) (*.f64 #s(literal 1/2 binary64) (/.f64 x y))))))
#s(approx (/ (/ (neg (sin (/ x (* 2 y)))) (cos (+ (PI) (/ x (* 2 y))))) (sin (/ x (* y 2)))) (/.f64 #s(literal -1 binary64) (cos.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 x y) (PI.f64)))))
#s(approx (/ (/ (neg (sin (/ x (* 2 y)))) (cos (+ (PI) (/ x (* 2 y))))) (sin (/ x (* y 2)))) (/.f64 #s(literal -1 binary64) (cos.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 x y) (PI.f64)))))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (sin.f64 #s(approx (+ (* (/ x y) -1/2) (/ (PI) 2)) (*.f64 #s(literal 1/2 binary64) (-.f64 (PI.f64) (/.f64 x y)))))))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (sin.f64 #s(approx (+ (* (/ x y) -1/2) (/ (PI) 2)) (/.f64 (fma.f64 (.f64 (PI.f64) y) #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) x)) y)))))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (sin.f64 (fma.f64 (/.f64 x y) #s(literal -1/2 binary64) (/.f64 (PI.f64) #s(literal 2 binary64))))))
#s(approx (/ (/ (neg (sin (/ x (* 2 y)))) (cos (+ (PI) (/ x (* 2 y))))) (sin (/ x (* y 2)))) (/.f64 #s(literal -1 binary64) (cos.f64 #s(approx (+ (* 1/2 (/ x y)) (PI)) (*.f64 (+.f64 (/.f64 (PI.f64) x) (/.f64 #s(literal 1/2 binary64) y)) x)))))
(/.f64 (tan.f64 (/.f64 x (+.f64 y y))) #s(approx (sin (/ x (* y 2))) (*.f64 (/.f64 x y) #s(literal 1/2 binary64))))
#s(approx (/ (/ (neg (sin (/ x (* 2 y)))) (cos (+ (PI) (/ x (* 2 y))))) (sin (/ x (* y 2)))) (/.f64 #s(literal -1 binary64) (sin.f64 (+.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 x y) (PI.f64)) (/.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)))) (/.f64 #s(literal 1 binary64) (sin.f64 #s(approx (+ (* (/ x y) -1/2) (/ (PI) 2)) (.f64 (-.f64 (.f64 (/.f64 (PI.f64) x) #s(literal 1/2 binary64)) (/.f64 #s(literal 1/2 binary64) y)) x)))))
(/.f64 (tan.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) #s(approx (sin (/ x ( y 2))) (.f64 (/.f64 (fma.f64 (/.f64 #s(literal -1/48 binary64) y) (/.f64 (.f64 x x) y) #s(literal 1/2 binary64)) y) x)))
(/.f64 (tan.f64 (/.f64 x (+.f64 y y))) (sin.f64 (/.f64 x (+.f64 y y))))
(/.f64 (tan.f64 (/.f64 x (+.f64 y y))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) #s(approx (sin (+ (* (/ x y) -1/2) (/ (PI) 2))) (fma.f64 (.f64 x (/.f64 (cos.f64 (.f64 (PI.f64) #s(literal -1/2 binary64))) y)) #s(literal -1/2 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)))))))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) #s(approx (+ (* (sin (* -1/2 (/ x y))) (cos (/ (PI) 2))) (* (cos (* -1/2 (/ x y))) (sin (/ (PI) 2)))) (fma.f64 (.f64 x (/.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) (PI.f64))) y)) #s(literal -1/2 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)))))))
(/.f64 (tan.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))))
(/.f64 (tan.f64 (+.f64 (PI.f64) (/.f64 x (.f64 #s(literal 2 binary64) y)))) (sin.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))))
(/.f64 (/.f64 (cos.f64 (+.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64)))) #s(approx (cos (+ (PI) (/ x (* 2 y)))) #s(literal -1 binary64))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (fma.f64 (sin.f64 (.f64 #s(literal -1/2 binary64) (/.f64 x y))) (cos.f64 (/.f64 (PI.f64) #s(literal 2 binary64))) #s(approx ( (cos (* -1/2 (/ x y))) (sin (/ (PI) 2))) (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)))))))
#s(approx (/ (/ (sin (/ x y)) (+ 1 (cos (/ x y)))) (sin (/ x (* y 2)))) (/.f64 (sin.f64 (/.f64 x y)) (.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) (/.f64 x y))) (+.f64 (cos.f64 (/.f64 x y)) #s(literal 1 binary64)))))
#s(approx (/ (/ (sin (/ x y)) (+ 1 (cos (/ x y)))) (sin (/ x (+ y y)))) (/.f64 (sin.f64 (/.f64 x y)) (.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) (/.f64 x y))) (+.f64 (cos.f64 (/.f64 x y)) #s(literal 1 binary64)))))
(/.f64 (/.f64 (sin.f64 (/.f64 x y)) (+.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x y)))) (sin.f64 (/.f64 x (+.f64 y y))))
#s(approx (/ (/ (sin (/ x y)) (+ 1 (cos (/ x y)))) (sin (/ x (+ y y)))) (/.f64 (/.f64 (sin.f64 (/.f64 x y)) (sin.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y)))) (+.f64 (cos.f64 (/.f64 x y)) #s(literal 1 binary64))))
(/.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)))))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (fma.f64 (sin.f64 (.f64 #s(literal -1/2 binary64) (/.f64 x y))) (cos.f64 (/.f64 (PI.f64) #s(literal 2 binary64))) (.f64 (cos.f64 (*.f64 (/.f64 x y) #s(literal -1/2 binary64))) #s(literal 1 binary64)))))
(/.f64 #s(approx (/ (sin (/ x y)) (+ 1 (cos (/ x y)))) (/.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) (/.f64 x y))) (cos.f64 (.f64 #s(literal 1/2 binary64) (/.f64 x y))))) (sin.f64 (/.f64 x (+.f64 y y))))
(/.f64 (/.f64 (sin.f64 (/.f64 x (.f64 #s(literal 2 binary64) y))) (cos.f64 (/.f64 x (.f64 #s(literal 2 binary64) y)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
#s(approx (/ (/ (sin (/ x y)) (+ 1 (cos (/ x y)))) (sin (/ x (+ y y)))) (/.f64 (sin.f64 (/.f64 x y)) (.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) (/.f64 x y))) (+.f64 (sin.f64 (+.f64 (/.f64 x y) (/.f64 (PI.f64) #s(literal 2 binary64)))) #s(literal 1 binary64)))))
(/.f64 #s(approx (/ (neg (sin (/ x (* 2 y)))) (cos (+ (PI) (/ x (* 2 y))))) (/.f64 (sin.f64 (.f64 (/.f64 x y) #s(literal -1/2 binary64))) (cos.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 x y) (PI.f64))))) (sin.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))))
(/.f64 (/.f64 (cos.f64 #s(approx (+ (/ (/ x y) 2) (/ (PI) 2)) (.f64 #s(literal 1/2 binary64) (/.f64 x y)))) (cos.f64 (+.f64 (PI.f64) (/.f64 x (.f64 #s(literal 2 binary64) y))))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
(/.f64 (/.f64 (neg.f64 (sin.f64 (/.f64 x (.f64 #s(literal 2 binary64) y)))) (cos.f64 (+.f64 (PI.f64) (/.f64 x (.f64 #s(literal 2 binary64) y))))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
(/.f64 (/.f64 (sin.f64 (/.f64 x y)) (+.f64 #s(literal 1 binary64) (sin.f64 (+.f64 (/.f64 x y) (/.f64 (PI.f64) #s(literal 2 binary64)))))) (sin.f64 (/.f64 x (+.f64 y y))))
(/.f64 (/.f64 (sin.f64 (/.f64 x y)) (+.f64 #s(literal 1 binary64) (sin.f64 (+.f64 (/.f64 x y) (/.f64 (PI.f64) #s(literal 2 binary64)))))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
(/.f64 (/.f64 (neg.f64 (sin.f64 (/.f64 x (.f64 #s(literal 2 binary64) y)))) (cos.f64 #s(approx (+ (PI) (/ x ( 2 y))) (.f64 (+.f64 (/.f64 (PI.f64) x) (/.f64 #s(literal 1/2 binary64) y)) x)))) (sin.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))))
(/.f64 (/.f64 (cos.f64 #s(approx (+ (/ (/ x y) 2) (/ (PI) 2)) (.f64 (fma.f64 (/.f64 (PI.f64) x) #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) y)) x))) (cos.f64 (+.f64 (PI.f64) (/.f64 x (.f64 #s(literal 2 binary64) y))))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
(/.f64 (/.f64 (cos.f64 (+.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64)))) (cos.f64 (+.f64 (PI.f64) (/.f64 x (.f64 #s(literal 2 binary64) y))))) (sin.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))))
(/.f64 (/.f64 (neg.f64 (sin.f64 (/.f64 x (.f64 #s(literal 2 binary64) y)))) (sin.f64 (+.f64 (+.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64)) (PI.f64)) (/.f64 (PI.f64) #s(literal 2 binary64))))) (sin.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))))
(/.f64 (/.f64 (cos.f64 (+.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64)))) (cos.f64 #s(approx (+ (PI) (/ x (* 2 y))) (.f64 (+.f64 (/.f64 (PI.f64) x) (/.f64 #s(literal 1/2 binary64) y)) x)))) (sin.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))))
(/.f64 (/.f64 (cos.f64 (+.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)) (PI.f64)) (/.f64 (PI.f64) #s(literal 2 binary64))))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
#s(approx (/ (/ (neg (sin (/ x (* 2 y)))) (cos (+ (PI) (/ x (* 2 y))))) (sin (/ x (* y 2)))) (/.f64 #s(literal -1 binary64) (-.f64 (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) (/.f64 x y))) (cos.f64 (PI.f64))) (.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) (/.f64 x y))) (sin.f64 (PI.f64))))))
(/.f64 (tan.f64 (/.f64 x (+.f64 y y))) (sin.f64 (/.f64 x (/.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (fma.f64 y y (-.f64 (.f64 y y) (.f64 y y)))))))
(/.f64 (tan.f64 (/.f64 x (/.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (fma.f64 y y (-.f64 (.f64 y y) (.f64 y y)))))) (sin.f64 (/.f64 x (+.f64 y y))))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (fma.f64 (sin.f64 (.f64 #s(literal -1/2 binary64) (/.f64 x y))) (cos.f64 (/.f64 (PI.f64) #s(literal 2 binary64))) (.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y))) (sin.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))))))
#s(approx (/ (/ (sin (/ x y)) (+ 1 (cos (/ x y)))) (sin (/ x (+ y y)))) (/.f64 (sin.f64 (/.f64 x y)) (+.f64 (.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) (/.f64 x y))) (cos.f64 (/.f64 x y))) (.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) (/.f64 x y))) #s(literal 1 binary64)))))
(/.f64 (/.f64 (+.f64 (tan.f64 (/.f64 x (.f64 #s(literal 2 binary64) y))) (tan.f64 (PI.f64))) (-.f64 #s(literal 1 binary64) (.f64 (tan.f64 (/.f64 x (.f64 #s(literal 2 binary64) y))) (tan.f64 (PI.f64))))) (sin.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))))
(/.f64 (/.f64 (cos.f64 (+.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64)))) (-.f64 (.f64 (cos.f64 (PI.f64)) (cos.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64)))) (.f64 (sin.f64 (PI.f64)) (sin.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64)))))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
#s(approx (/ (/ (sin (/ x y)) (+ 1 (cos (/ x y)))) (sin (/ x (+ y y)))) (/.f64 (sin.f64 (/.f64 x y)) (.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) (/.f64 x y))) (/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 (/.f64 x y)) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (.f64 (cos.f64 (/.f64 x y)) (cos.f64 (/.f64 x y))) (.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x y)))))))))
(/.f64 (/.f64 (sin.f64 (/.f64 x y)) (/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 (/.f64 x y)) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (.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 (+.f64 y y))))
(/.f64 (/.f64 (sin.f64 (/.f64 x y)) (/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 (/.f64 x y)) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (.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 (*.f64 y #s(literal 2 binary64)))))
#s(approx (/ (/ (neg (sin (/ x (* 2 y)))) (cos (+ (PI) (/ x (* 2 y))))) (sin (/ x (* y 2)))) (.f64 (neg.f64 y) (fma.f64 #s(literal -2 binary64) (/.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) (PI.f64))) (neg.f64 x)) (neg.f64 (/.f64 (fma.f64 #s(literal -1 binary64) (+.f64 (/.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) (PI.f64))) #s(literal -1 binary64)) (/.f64 (-.f64 (.f64 (.f64 x (/.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) (PI.f64))) #s(literal -1 binary64))) #s(literal 1/4 binary64)) (fma.f64 (/.f64 (.f64 (.f64 #s(literal 0 binary64) x) (fma.f64 (/.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) (PI.f64))) #s(literal -1 binary64)) #s(literal -1 binary64) (.f64 #s(literal 0 binary64) (cos.f64 (.f64 #s(literal -1/2 binary64) (PI.f64)))))) #s(literal -1 binary64)) #s(literal 1/2 binary64) (.f64 (/.f64 (.f64 (.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) #s(literal 1/12 binary64)) (cos.f64 (.f64 #s(literal -1/2 binary64) (PI.f64)))) (.f64 x x)) #s(literal 4 binary64)))) y)) (.f64 #s(literal 0 binary64) (cos.f64 (.f64 #s(literal -1/2 binary64) (PI.f64))))) y)))))
#s(approx (/ (/ (neg (sin (/ x (* 2 y)))) (cos (+ (PI) (/ x (* 2 y))))) (sin (/ x (* y 2)))) (/.f64 (fma.f64 (fma.f64 (/.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) (PI.f64))) #s(literal -1 binary64)) #s(literal -1 binary64) (fma.f64 (-.f64 (.f64 (/.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) (PI.f64))) (.f64 #s(literal -1 binary64) y)) #s(literal -1/4 binary64)) (fma.f64 (.f64 (/.f64 #s(literal 0 binary64) y) (/.f64 (fma.f64 (/.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) (PI.f64))) #s(literal -1 binary64)) #s(literal -1 binary64) (.f64 #s(literal 0 binary64) (cos.f64 (.f64 #s(literal -1/2 binary64) (PI.f64))))) #s(literal -1 binary64))) #s(literal -1/2 binary64) (.f64 (/.f64 (.f64 (.f64 (/.f64 #s(literal 1/12 binary64) (pow.f64 y #s(literal 3 binary64))) (cos.f64 (.f64 #s(literal -1/2 binary64) (PI.f64)))) (.f64 y y)) #s(literal 1 binary64)) #s(literal 4 binary64)))) x (.f64 #s(literal 0 binary64) (cos.f64 (.f64 #s(literal -1/2 binary64) (PI.f64)))))) x (.f64 (.f64 y (/.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) (PI.f64))) #s(literal -1 binary64))) #s(literal 2 binary64))) x))

Outputs

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

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

Calls

5 calls:

20.0ms	x
19.0ms	y
18.0ms	(/.f64 x (*.f64 y #s(literal 2 binary64)))
15.0ms	(*.f64 y #s(literal 2 binary64))
14.0ms	(/.f64 (tan.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))))

Results

Accuracy	Segments	Branch
53.7%	1	`(*.f64 y #s(literal 2 binary64))`
55.3%	2	`(/.f64 x (*.f64 y #s(literal 2 binary64)))`
53.7%	1	`(/.f64 (tan.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))))`
53.7%	1	`x`
53.7%	1	`y`

Compiler

Compiled 23 to 21 computations (8.7% saved)

regimes15.0ms (0.3%)

Memory

22.0MiB live, 22.0MiB allocated; 0ms collecting garbage

Counts

53 → 2

Calls

Call 1

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

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

Calls

1 calls:

12.0ms

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

Results

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

Compiler

Compiled 5 to 5 computations (0% saved)

regimes9.0ms (0.2%)

Memory

11.2MiB live, 11.2MiB allocated; 0ms collecting garbage

Accuracy

Total -33.8b remaining (-114%)

Threshold costs -33.8b (-114%)

Counts

9 → 1

Calls

Call 1

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

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
53.7%	1	`(/.f64 (tan.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))))`
53.7%	1	`x`
53.7%	1	`(/.f64 x (*.f64 y #s(literal 2 binary64)))`

Compiler

Compiled 19 to 15 computations (21.1% saved)

bsearch1.0ms (0%)

Memory

0.6MiB live, 0.6MiB allocated; 0ms collecting garbage

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	1.6959228196000497e+27	4.129654847843119e+29

Compiler

Compiled 12 to 13 computations (-8.3% saved)

bsearch0.0ms (0%)

Memory

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

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	1.6959228196000497e+27	4.129654847843119e+29

Compiler

Compiled 12 to 13 computations (-8.3% saved)

simplify52.0ms (1.1%)

Memory

-15.0MiB live, 30.6MiB allocated; 7ms collecting garbage

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	44	128
1	79	127
2	142	125
3	295	113
4	926	113
5	6064	113

Stop Event

1×	node limit

Calls

Call 1

Inputs

(if (<=.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))) #s(literal 2000000000000000026575110144 binary64)) #s(approx (/ (/ (neg (sin (/ x (* 2 y)))) (cos (+ (PI) (/ x (* 2 y))))) (sin (/ x (* y 2)))) (/.f64 #s(literal -1 binary64) (-.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y))) (cos.f64 (PI.f64))) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y))) (sin.f64 (PI.f64)))))) #s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(literal 1 binary64)))

(if (<=.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))) #s(literal 2000000000000000026575110144 binary64)) #s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y))))) #s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(literal 1 binary64)))

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

Outputs

(if (<=.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))) #s(literal 2000000000000000026575110144 binary64)) #s(approx (/ (/ (neg (sin (/ x (* 2 y)))) (cos (+ (PI) (/ x (* 2 y))))) (sin (/ x (* y 2)))) (/.f64 #s(literal -1 binary64) (-.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y))) (cos.f64 (PI.f64))) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y))) (sin.f64 (PI.f64)))))) #s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(literal 1 binary64)))

(if (<=.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))) #s(literal 2000000000000000026575110144 binary64)) #s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y))))) #s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(literal 1 binary64)))

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

derivations190.0ms (4%)

Memory

-48.0MiB live, 130.6MiB allocated; 106ms collecting garbage

Stop Event

1×

fuel

Compiler

Compiled 128 to 45 computations (64.8% saved)

preprocess44.0ms (0.9%)

Memory: -3.4MiB live, 100.6MiB allocated; 15ms collecting garbage
Compiler: Compiled 618 to 298 computations (51.8% saved)

end0.0ms (0%)

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

start0.0ms (0%)

analyze370.0ms (7.7%)

sample1.8s (37.8%)

explain174.0ms (3.6%)

preprocess248.0ms (5.1%)

eval0.0ms (0%)

prune0.0ms (0%)

series50.0ms (1%)

simplify211.0ms (4.4%)

rewrite79.0ms (1.7%)

eval28.0ms (0.6%)

prune9.0ms (0.2%)

series39.0ms (0.8%)

simplify214.0ms (4.4%)

rewrite32.0ms (0.7%)

eval30.0ms (0.6%)

prune19.0ms (0.4%)

series62.0ms (1.3%)

simplify242.0ms (5%)

rewrite42.0ms (0.9%)

eval121.0ms (2.5%)

prune45.0ms (0.9%)

series88.0ms (1.8%)

simplify202.0ms (4.2%)

rewrite82.0ms (1.7%)

eval109.0ms (2.3%)

prune79.0ms (1.6%)

regimes105.0ms (2.2%)

regimes15.0ms (0.3%)

regimes9.0ms (0.2%)

bsearch1.0ms (0%)

bsearch0.0ms (0%)

simplify52.0ms (1.1%)

derivations190.0ms (4%)

preprocess44.0ms (0.9%)

end0.0ms (0%)

Profiling