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

analyze207.0ms (5.6%)

Memory

11.5MiB live, 452.8MiB allocated; 61ms 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)

sample1.6s (42.9%)

Memory

17.0MiB live, 2 970.9MiB allocated; 424ms collecting garbage

Samples

901.0ms	4 109×	1	valid
308.0ms	4 147×	0	valid

Precisions

Click to see histograms. Total time spent on operations: 937.0ms

ival-tan: 344.0ms (36.7% of total)

ival-sin: 247.0ms (26.4% of total)

ival-div!: 179.0ms (19.1% of total)

adjust: 110.0ms (11.7% of total)

ival-mult!: 56.0ms (6% of total)

Bogosity

explain175.0ms (4.8%)

Memory

-28.3MiB live, 303.2MiB allocated; 43ms collecting garbage

FPErrors

Click to see full error table

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

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`sin.f64`	`(sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))`	sensitivity	93	0
`tan.f64`	`(tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))`	sensitivity	93	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	33	0
↳	`(/.f64 x (*.f64 y #s(literal 2 binary64)))`	underflow	33
↳	`(tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))`	underflow	33
↳	`(/.f64 x (*.f64 y #s(literal 2 binary64)))`	underflow	33
↳	`(sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))`	underflow	33

Confusion

	Predicted +	Predicted -
+	160	0
-	0	96

Precision

1.0

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	160	0	0
-	0	0	96

Precision?

1.0

Recall?

1.0

Freqs

test

number	freq
0	96
1	33
2	127

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

68.0ms	254×	1	valid
15.0ms	258×	0	valid

Compiler

Compiled 89 to 28 computations (68.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 63.0ms

ival-sin: 35.0ms (55.9% of total)

ival-tan: 12.0ms (19.1% of total)

ival-div!: 9.0ms (14.4% of total)

adjust: 3.0ms (4.8% of total)

ival-mult!: 3.0ms (4.8% of total)

preprocess194.0ms (5.3%)

Memory

22.5MiB live, 308.2MiB allocated; 46ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	26	84
1	58	80
2	148	78
3	323	78
4	765	78
5	3003	78
0	8	13
0	13	13
1	21	13
2	40	13
3	78	13
4	159	13
5	514	13
6	3796	13
0	9069	13

Stop Event

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

Calls

Call 1

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

Outputs

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

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

Symmetry

(abs x)

(abs y)

Compiler

Compiled 13 to 8 computations (38.5% saved)

eval0.0ms (0%)

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

prune0.0ms (0%)

Memory

1.4MiB live, 1.4MiB allocated; 0ms collecting garbage

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	42.3%	(/.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)

series24.0ms (0.7%)

Memory

-17.0MiB live, 81.8MiB allocated; 8ms 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
7.0ms	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))))
4.0ms	x	@	inf	((/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (tan (/ x (* y 2))) (/ x (* y 2)) x (* y 2) y 2 (sin (/ x (* y 2))))
2.0ms	x	@	0	((/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (tan (/ x (* y 2))) (/ x (* y 2)) x (* y 2) y 2 (sin (/ x (* y 2))))
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))))

rewrite176.0ms (4.8%)

Memory

39.7MiB live, 417.5MiB allocated; 34ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Counts

45 → 57

Calls

Call 1

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

eval34.0ms (0.9%)

Memory: -22.3MiB live, 24.5MiB allocated; 2ms collecting garbage
Compiler: Compiled 2 487 to 417 computations (83.2% saved)

prune10.0ms (0.3%)

Memory

25.5MiB live, 25.5MiB allocated; 0ms collecting garbage

Pruning

12 alts after pruning (12 fresh and 0 done)

	Pruned	Kept	Total
New	58	12	70
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	59	12	71

Accuracy

60.9%

Counts

71 → 12

Alt Table

Click to see full alt table

Status	Accuracy	Program
	6.1%	(/.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)))))
	5.8%	(/.f64 (/.f64 (+.f64 (tan.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64))) (tan.f64 (PI.f64))) (-.f64 #s(literal 1 binary64) (.f64 (tan.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64))) (tan.f64 (PI.f64))))) (sin.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))))
	42.3%	(/.f64 (/.f64 (sin.f64 (/.f64 x y)) (+.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x y)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
	42.5%	(/.f64 (/.f64 (neg.f64 (sin.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64)))) (cos.f64 (+.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64)) (PI.f64)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
	42.3%	(/.f64 (tan.f64 (/.f64 x (+.f64 y y))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
▶	32.1%	(/.f64 (tan.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) #s(approx (sin (/ x ( y 2))) (/.f64 (fma.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (.f64 y y)) #s(literal -1/48 binary64) (.f64 #s(literal 1/2 binary64) x)) y)))
	31.3%	(/.f64 (tan.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) #s(approx (sin (/ x ( y 2))) (.f64 (fma.f64 #s(literal -1/48 binary64) (/.f64 (.f64 x x) (pow.f64 y #s(literal 3 binary64))) (/.f64 #s(literal 1/2 binary64) y)) x)))
	38.7%	(/.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))))
▶	5.7%	(/.f64 (tan.f64 (+.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64)) (PI.f64))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
▶	38.7%	(/.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)))))
▶	55.2%	#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)))
▶	56.8%	#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(literal 1 binary64))

Compiler

Compiled 492 to 354 computations (28% saved)

series59.0ms (1.6%)

Memory

-8.0MiB live, 85.4MiB allocated; 5ms collecting garbage

Counts

33 → 103

Calls

Call 1

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

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) 1/2) #s(hole binary64 (* 1/2 (/ x y))))
#s(approx (/ x y) #s(hole binary64 (/ x y)))
#s(approx x #s(hole binary64 x))
#s(approx (sin (/ x (* y 2))) #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 (pow (cos (* (/ x y) 1/2)) -1) #s(hole binary64 1))
#s(approx (pow (cos (* (/ x y) 1/2)) -1) #s(hole binary64 (+ 1 (* 1/8 (/ (pow x 2) (pow y 2))))))
#s(approx (pow (cos (* (/ x y) 1/2)) -1) #s(hole binary64 (+ 1 (* (pow x 2) (+ (* 5/384 (/ (pow x 2) (pow y 4))) (* 1/8 (/ 1 (pow y 2))))))))
#s(approx (pow (cos (* (/ x y) 1/2)) -1) #s(hole binary64 (+ 1 (* (pow x 2) (+ (* (pow x 2) (+ (* 61/46080 (/ (pow x 2) (pow y 6))) (* 5/384 (/ 1 (pow y 4))))) (* 1/8 (/ 1 (pow y 2))))))))
#s(approx (cos (* (/ x y) 1/2)) #s(hole binary64 1))
#s(approx (cos (* (/ x y) 1/2)) #s(hole binary64 (+ 1 (* -1/8 (/ (pow x 2) (pow y 2))))))
#s(approx (cos (* (/ x y) 1/2)) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 1/384 (/ (pow x 2) (pow y 4))) (* 1/8 (/ 1 (pow y 2))))))))
#s(approx (cos (* (/ x y) 1/2)) #s(hole binary64 (+ 1 (* (pow x 2) (- (* (pow x 2) (+ (* -1/46080 (/ (pow x 2) (pow y 6))) (* 1/384 (/ 1 (pow y 4))))) (* 1/8 (/ 1 (pow y 2))))))))
#s(approx (/ (tan (+ (/ (/ x y) 2) (PI))) (sin (/ x (* y 2)))) #s(hole binary64 (* 2 (/ (* y (sin (PI))) (* x (cos (PI)))))))
#s(approx (/ (tan (+ (/ (/ x y) 2) (PI))) (sin (/ x (* y 2)))) #s(hole binary64 (/ (+ (* 2 (* x (* y (- (* 1/2 (/ 1 y)) (* -1/2 (/ (pow (sin (PI)) 2) (* y (pow (cos (PI)) 2)))))))) (* 2 (/ (* y (sin (PI))) (cos (PI))))) x)))
#s(approx (/ (tan (+ (/ (/ x y) 2) (PI))) (sin (/ x (* y 2)))) #s(hole binary64 (/ (+ (* 2 (/ (* y (sin (PI))) (cos (PI)))) (* x (+ (* 2 (* y (- (* 1/2 (/ 1 y)) (* -1/2 (/ (pow (sin (PI)) 2) (* y (pow (cos (PI)) 2))))))) (* x (- (/ (* (sin (PI)) (- (* 1/2 (/ 1 y)) (* -1/2 (/ (pow (sin (PI)) 2) (* y (pow (cos (PI)) 2)))))) (cos (PI))) (* -1/12 (/ (sin (PI)) (* y (cos (PI)))))))))) x)))
#s(approx (/ (tan (+ (/ (/ x y) 2) (PI))) (sin (/ x (* y 2)))) #s(hole binary64 (/ (+ (* 2 (/ (* y (sin (PI))) (cos (PI)))) (* x (+ (* 2 (* y (- (* 1/2 (/ 1 y)) (* -1/2 (/ (pow (sin (PI)) 2) (* y (pow (cos (PI)) 2))))))) (* x (- (+ (* x (- (* -2 (* y (+ (* -1/4 (/ (* (pow (sin (PI)) 2) (- (* 1/2 (/ 1 y)) (* -1/2 (/ (pow (sin (PI)) 2) (* y (pow (cos (PI)) 2)))))) (* (pow y 2) (pow (cos (PI)) 2)))) (+ (* -1/8 (/ (- (* 1/2 (/ 1 y)) (* -1/2 (/ (pow (sin (PI)) 2) (* y (pow (cos (PI)) 2))))) (pow y 2))) (+ (* 1/48 (/ 1 (pow y 3))) (* 1/48 (/ (pow (sin (PI)) 2) (* (pow y 3) (pow (cos (PI)) 2))))))))) (* -1/12 (/ (- (* 1/2 (/ 1 y)) (* -1/2 (/ (pow (sin (PI)) 2) (* y (pow (cos (PI)) 2))))) y)))) (/ (* (sin (PI)) (- (* 1/2 (/ 1 y)) (* -1/2 (/ (pow (sin (PI)) 2) (* y (pow (cos (PI)) 2)))))) (cos (PI)))) (* -1/12 (/ (sin (PI)) (* y (cos (PI)))))))))) x)))
#s(approx (tan (+ (/ (/ x y) 2) (PI))) #s(hole binary64 (/ (sin (PI)) (cos (PI)))))
#s(approx (tan (+ (/ (/ x y) 2) (PI))) #s(hole binary64 (+ (* x (- (* 1/2 (/ 1 y)) (* -1/2 (/ (pow (sin (PI)) 2) (* y (pow (cos (PI)) 2)))))) (/ (sin (PI)) (cos (PI))))))
#s(approx (tan (+ (/ (/ x y) 2) (PI))) #s(hole binary64 (+ (* x (- (+ (* 1/2 (/ 1 y)) (* 1/2 (/ (* x (* (sin (PI)) (- (* 1/2 (/ 1 y)) (* -1/2 (/ (pow (sin (PI)) 2) (* y (pow (cos (PI)) 2))))))) (* y (cos (PI)))))) (* -1/2 (/ (pow (sin (PI)) 2) (* y (pow (cos (PI)) 2)))))) (/ (sin (PI)) (cos (PI))))))
#s(approx (tan (+ (/ (/ x y) 2) (PI))) #s(hole binary64 (+ (* x (- (+ (* 1/2 (/ 1 y)) (* x (- (* -1 (* x (+ (* -1/4 (/ (* (pow (sin (PI)) 2) (- (* 1/2 (/ 1 y)) (* -1/2 (/ (pow (sin (PI)) 2) (* y (pow (cos (PI)) 2)))))) (* (pow y 2) (pow (cos (PI)) 2)))) (+ (* -1/8 (/ (- (* 1/2 (/ 1 y)) (* -1/2 (/ (pow (sin (PI)) 2) (* y (pow (cos (PI)) 2))))) (pow y 2))) (+ (* 1/48 (/ 1 (pow y 3))) (* 1/48 (/ (pow (sin (PI)) 2) (* (pow y 3) (pow (cos (PI)) 2))))))))) (* -1/2 (/ (* (sin (PI)) (- (* 1/2 (/ 1 y)) (* -1/2 (/ (pow (sin (PI)) 2) (* y (pow (cos (PI)) 2)))))) (* y (cos (PI)))))))) (* -1/2 (/ (pow (sin (PI)) 2) (* y (pow (cos (PI)) 2)))))) (/ (sin (PI)) (cos (PI))))))
#s(approx (+ (/ (/ x y) 2) (PI)) #s(hole binary64 (PI)))
#s(approx (+ (/ (/ x y) 2) (PI)) #s(hole binary64 (+ (PI) (* 1/2 (/ x y)))))
#s(approx (/ (/ x y) 2) #s(hole binary64 (* 1/2 (/ x y))))
#s(approx (/ (+ (* (/ (pow x 3) (* y y)) -1/48) (* 1/2 x)) y) #s(hole binary64 (* 1/2 (/ x y))))
#s(approx (/ (+ (* (/ (pow x 3) (* y y)) -1/48) (* 1/2 x)) y) #s(hole binary64 (* x (+ (* -1/48 (/ (pow x 2) (pow y 3))) (* 1/2 (/ 1 y))))))
#s(approx (+ (* (/ (pow x 3) (* y y)) -1/48) (* 1/2 x)) #s(hole binary64 (* 1/2 x)))
#s(approx (+ (* (/ (pow x 3) (* y y)) -1/48) (* 1/2 x)) #s(hole binary64 (* x (+ 1/2 (* -1/48 (/ (pow x 2) (pow y 2)))))))
#s(approx (/ (pow x 3) (* y y)) #s(hole binary64 (/ (pow x 3) (pow y 2))))
#s(approx (pow x 3) #s(hole binary64 (pow x 3)))
#s(approx (* 1/2 x) #s(hole binary64 (* 1/2 x)))
#s(approx (/ (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 (pow (cos (* (/ x y) 1/2)) -1) #s(hole binary64 (/ 1 (cos (* 1/2 (/ x y))))))
#s(approx (cos (* (/ x y) 1/2)) #s(hole binary64 (cos (* 1/2 (/ x y)))))
#s(approx (/ (tan (+ (/ (/ x y) 2) (PI))) (sin (/ x (* y 2)))) #s(hole binary64 (/ (sin (+ (PI) (* 1/2 (/ x y)))) (* (cos (+ (PI) (* 1/2 (/ x y)))) (sin (* 1/2 (/ x y)))))))
#s(approx (tan (+ (/ (/ x y) 2) (PI))) #s(hole binary64 (/ (sin (+ (PI) (* 1/2 (/ x y)))) (cos (+ (PI) (* 1/2 (/ x y)))))))
#s(approx (+ (/ (/ x y) 2) (PI)) #s(hole binary64 (* 1/2 (/ x y))))
#s(approx (+ (/ (/ x y) 2) (PI)) #s(hole binary64 (* x (+ (* 1/2 (/ 1 y)) (/ (PI) x)))))
#s(approx (/ (+ (* (/ (pow x 3) (* y y)) -1/48) (* 1/2 x)) y) #s(hole binary64 (* -1/48 (/ (pow x 3) (pow y 3)))))
#s(approx (/ (+ (* (/ (pow x 3) (* y y)) -1/48) (* 1/2 x)) y) #s(hole binary64 (* (pow x 3) (- (* 1/2 (/ 1 (* (pow x 2) y))) (* 1/48 (/ 1 (pow y 3)))))))
#s(approx (+ (* (/ (pow x 3) (* y y)) -1/48) (* 1/2 x)) #s(hole binary64 (* -1/48 (/ (pow x 3) (pow y 2)))))
#s(approx (+ (* (/ (pow x 3) (* y y)) -1/48) (* 1/2 x)) #s(hole binary64 (* (pow x 3) (- (* 1/2 (/ 1 (pow x 2))) (* 1/48 (/ 1 (pow y 2)))))))
#s(approx (/ (tan (+ (/ (/ x y) 2) (PI))) (sin (/ x (* y 2)))) #s(hole binary64 (/ (sin (- (PI) (* -1/2 (/ x y)))) (* (cos (- (PI) (* -1/2 (/ x y)))) (sin (* 1/2 (/ x y)))))))
#s(approx (tan (+ (/ (/ x y) 2) (PI))) #s(hole binary64 (/ (sin (- (PI) (* -1/2 (/ x y)))) (cos (- (PI) (* -1/2 (/ x y)))))))
#s(approx (+ (/ (/ x y) 2) (PI)) #s(hole binary64 (* -1 (* x (- (* -1 (/ (PI) x)) (* 1/2 (/ 1 y)))))))
#s(approx (/ (+ (* (/ (pow x 3) (* y y)) -1/48) (* 1/2 x)) y) #s(hole binary64 (* -1 (* (pow x 3) (- (* 1/48 (/ 1 (pow y 3))) (* 1/2 (/ 1 (* (pow x 2) y))))))))
#s(approx (+ (* (/ (pow x 3) (* y y)) -1/48) (* 1/2 x)) #s(hole binary64 (* -1 (* (pow x 3) (- (* 1/48 (/ 1 (pow y 2))) (* 1/2 (/ 1 (pow x 2))))))))
#s(approx y #s(hole binary64 y))
#s(approx (* y 2) #s(hole binary64 (* 2 y)))
#s(approx (+ (/ (/ x y) 2) (PI)) #s(hole binary64 (/ (+ (* 1/2 x) (* y (PI))) y)))
#s(approx (/ (+ (* (/ (pow x 3) (* y y)) -1/48) (* 1/2 x)) y) #s(hole binary64 (/ (+ (* -1/48 (pow x 3)) (* 1/2 (* x (pow y 2)))) (pow y 3))))
#s(approx (+ (* (/ (pow x 3) (* y y)) -1/48) (* 1/2 x)) #s(hole binary64 (/ (+ (* -1/48 (pow x 3)) (* 1/2 (* x (pow y 2)))) (pow y 2))))
#s(approx (* y y) #s(hole binary64 (pow y 2)))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(hole binary64 (- (+ 1 (* 2 (/ (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3))) (* x (pow y 2))))) (* -1/24 (/ (pow x 2) (pow y 2))))))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(hole binary64 (- (+ 1 (+ (* 2 (/ (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3))) (* x (pow y 2)))) (* 2 (/ (- (* 1/3840 (pow x 5)) (+ (* -1/8 (* (pow x 2) (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3))))) (* 1/768 (pow x 5)))) (* x (pow y 4)))))) (+ (* -1/24 (/ (* (pow x 2) (- (* 2 (/ (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3))) x)) (* -1/24 (pow x 2)))) (pow y 4))) (+ (* -1/24 (/ (pow x 2) (pow y 2))) (* 1/1920 (/ (pow x 4) (pow y 4))))))))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(hole binary64 (- (+ 1 (+ (* 2 (/ (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3))) (* x (pow y 2)))) (+ (* 2 (/ (- (* -1/645120 (pow x 7)) (+ (* -1/8 (* (pow x 2) (- (* 1/3840 (pow x 5)) (+ (* -1/8 (* (pow x 2) (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3))))) (* 1/768 (pow x 5)))))) (+ (* -1/92160 (pow x 7)) (* 1/384 (* (pow x 4) (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3)))))))) (* x (pow y 6)))) (* 2 (/ (- (* 1/3840 (pow x 5)) (+ (* -1/8 (* (pow x 2) (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3))))) (* 1/768 (pow x 5)))) (* x (pow y 4))))))) (+ (* -1/24 (/ (* (pow x 2) (- (* 2 (/ (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3))) x)) (* -1/24 (pow x 2)))) (pow y 4))) (+ (* -1/24 (/ (* (pow x 2) (- (* 2 (/ (- (* 1/3840 (pow x 5)) (+ (* -1/8 (* (pow x 2) (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3))))) (* 1/768 (pow x 5)))) x)) (+ (* -1/24 (* (pow x 2) (- (* 2 (/ (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3))) x)) (* -1/24 (pow x 2))))) (* 1/1920 (pow x 4))))) (pow y 6))) (+ (* -1/24 (/ (pow x 2) (pow y 2))) (+ (* -1/322560 (/ (pow x 6) (pow y 6))) (+ (* 1/1920 (/ (* (pow x 4) (- (* 2 (/ (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3))) x)) (* -1/24 (pow x 2)))) (pow y 6))) (* 1/1920 (/ (pow x 4) (pow y 4)))))))))))
#s(approx (tan (/ x (* y 2))) #s(hole binary64 (/ (- (+ (* -1/48 (/ (pow x 3) (pow y 2))) (* 1/2 x)) (* -1/16 (/ (pow x 3) (pow y 2)))) y)))
#s(approx (tan (/ x (* y 2))) #s(hole binary64 (/ (- (+ (* -1/48 (/ (pow x 3) (pow y 2))) (+ (* 1/3840 (/ (pow x 5) (pow y 4))) (* 1/2 x))) (+ (* -1/8 (/ (* (pow x 2) (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3)))) (pow y 4))) (+ (* -1/16 (/ (pow x 3) (pow y 2))) (* 1/768 (/ (pow x 5) (pow y 4)))))) y)))
#s(approx (tan (/ x (* y 2))) #s(hole binary64 (/ (- (+ (* -1/48 (/ (pow x 3) (pow y 2))) (+ (* -1/645120 (/ (pow x 7) (pow y 6))) (+ (* 1/3840 (/ (pow x 5) (pow y 4))) (* 1/2 x)))) (+ (* -1/8 (/ (* (pow x 2) (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3)))) (pow y 4))) (+ (* -1/8 (/ (* (pow x 2) (- (* 1/3840 (pow x 5)) (+ (* -1/8 (* (pow x 2) (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3))))) (* 1/768 (pow x 5))))) (pow y 6))) (+ (* -1/16 (/ (pow x 3) (pow y 2))) (+ (* -1/92160 (/ (pow x 7) (pow y 6))) (+ (* 1/768 (/ (pow x 5) (pow y 4))) (* 1/384 (/ (* (pow x 4) (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3)))) (pow y 6))))))))) y)))
#s(approx (sin (/ x (* y 2))) #s(hole binary64 (/ (+ (* -1/48 (/ (pow x 3) (pow y 2))) (* 1/2 x)) y)))
#s(approx (sin (/ x (* y 2))) #s(hole binary64 (/ (+ (* -1/48 (/ (pow x 3) (pow y 2))) (+ (* 1/3840 (/ (pow x 5) (pow y 4))) (* 1/2 x))) y)))
#s(approx (sin (/ x (* y 2))) #s(hole binary64 (/ (+ (* -1/48 (/ (pow x 3) (pow y 2))) (+ (* -1/645120 (/ (pow x 7) (pow y 6))) (+ (* 1/3840 (/ (pow x 5) (pow y 4))) (* 1/2 x)))) y)))
#s(approx (pow (cos (* (/ x y) 1/2)) -1) #s(hole binary64 (- (+ 1 (* -1 (/ (+ (* -1/64 (pow x 4)) (* 1/384 (pow x 4))) (pow y 4)))) (* -1/8 (/ (pow x 2) (pow y 2))))))
#s(approx (pow (cos (* (/ x y) 1/2)) -1) #s(hole binary64 (- (+ 1 (* -1 (/ (+ (* -1/46080 (pow x 6)) (+ (* 1/3072 (pow x 6)) (* 1/8 (* (pow x 2) (+ (* -1/64 (pow x 4)) (* 1/384 (pow x 4))))))) (pow y 6)))) (+ (* -1/8 (/ (pow x 2) (pow y 2))) (+ (* -1/64 (/ (pow x 4) (pow y 4))) (* 1/384 (/ (pow x 4) (pow y 4))))))))
#s(approx (cos (* (/ x y) 1/2)) #s(hole binary64 (+ 1 (+ (* -1/8 (/ (pow x 2) (pow y 2))) (* 1/384 (/ (pow x 4) (pow y 4)))))))
#s(approx (cos (* (/ x y) 1/2)) #s(hole binary64 (+ 1 (+ (* -1/8 (/ (pow x 2) (pow y 2))) (+ (* -1/46080 (/ (pow x 6) (pow y 6))) (* 1/384 (/ (pow x 4) (pow y 4))))))))
#s(approx (/ (tan (+ (/ (/ x y) 2) (PI))) (sin (/ x (* y 2)))) #s(hole binary64 (* y (+ (* 2 (/ (sin (PI)) (* x (cos (PI))))) (* 2 (/ (- (* 1/2 x) (* -1/2 (/ (* x (pow (sin (PI)) 2)) (pow (cos (PI)) 2)))) (* x y)))))))
#s(approx (/ (tan (+ (/ (/ x y) 2) (PI))) (sin (/ x (* y 2)))) #s(hole binary64 (* y (- (+ (* 2 (/ (sin (PI)) (* x (cos (PI))))) (+ (* 2 (/ (- (* 1/2 x) (* -1/2 (/ (* x (pow (sin (PI)) 2)) (pow (cos (PI)) 2)))) (* x y))) (/ (* (sin (PI)) (- (* 1/2 x) (* -1/2 (/ (* x (pow (sin (PI)) 2)) (pow (cos (PI)) 2))))) (* (pow y 2) (cos (PI)))))) (* -1/12 (/ (* x (sin (PI))) (* (pow y 2) (cos (PI)))))))))
#s(approx (/ (tan (+ (/ (/ x y) 2) (PI))) (sin (/ x (* y 2)))) #s(hole binary64 (* y (- (+ (* 2 (/ (sin (PI)) (* x (cos (PI))))) (+ (* 2 (/ (- (* -1/48 (pow x 3)) (+ (* -1/4 (/ (* (pow x 2) (* (pow (sin (PI)) 2) (- (* 1/2 x) (* -1/2 (/ (* x (pow (sin (PI)) 2)) (pow (cos (PI)) 2)))))) (pow (cos (PI)) 2))) (+ (* -1/8 (* (pow x 2) (- (* 1/2 x) (* -1/2 (/ (* x (pow (sin (PI)) 2)) (pow (cos (PI)) 2)))))) (* 1/48 (/ (* (pow x 3) (pow (sin (PI)) 2)) (pow (cos (PI)) 2)))))) (* x (pow y 3)))) (+ (* 2 (/ (- (* 1/2 x) (* -1/2 (/ (* x (pow (sin (PI)) 2)) (pow (cos (PI)) 2)))) (* x y))) (/ (* (sin (PI)) (- (* 1/2 x) (* -1/2 (/ (* x (pow (sin (PI)) 2)) (pow (cos (PI)) 2))))) (* (pow y 2) (cos (PI))))))) (+ (* -1/12 (/ (* x (sin (PI))) (* (pow y 2) (cos (PI))))) (* -1/12 (/ (* x (- (* 1/2 x) (* -1/2 (/ (* x (pow (sin (PI)) 2)) (pow (cos (PI)) 2))))) (pow y 3))))))))
#s(approx (tan (+ (/ (/ x y) 2) (PI))) #s(hole binary64 (- (+ (* 1/2 (/ x y)) (/ (sin (PI)) (cos (PI)))) (* -1/2 (/ (* x (pow (sin (PI)) 2)) (* y (pow (cos (PI)) 2)))))))
#s(approx (tan (+ (/ (/ x y) 2) (PI))) #s(hole binary64 (- (+ (* 1/2 (/ x y)) (+ (* 1/2 (/ (* x (* (sin (PI)) (- (* 1/2 x) (* -1/2 (/ (* x (pow (sin (PI)) 2)) (pow (cos (PI)) 2)))))) (* (pow y 2) (cos (PI))))) (/ (sin (PI)) (cos (PI))))) (* -1/2 (/ (* x (pow (sin (PI)) 2)) (* y (pow (cos (PI)) 2)))))))
#s(approx (tan (+ (/ (/ x y) 2) (PI))) #s(hole binary64 (- (+ (* -1/48 (/ (pow x 3) (pow y 3))) (+ (* 1/2 (/ x y)) (/ (sin (PI)) (cos (PI))))) (+ (* -1/2 (/ (* x (* (sin (PI)) (- (* 1/2 x) (* -1/2 (/ (* x (pow (sin (PI)) 2)) (pow (cos (PI)) 2)))))) (* (pow y 2) (cos (PI))))) (+ (* -1/2 (/ (* x (pow (sin (PI)) 2)) (* y (pow (cos (PI)) 2)))) (+ (* -1/4 (/ (* (pow x 2) (* (pow (sin (PI)) 2) (- (* 1/2 x) (* -1/2 (/ (* x (pow (sin (PI)) 2)) (pow (cos (PI)) 2)))))) (* (pow y 3) (pow (cos (PI)) 2)))) (+ (* -1/8 (/ (* (pow x 2) (- (* 1/2 x) (* -1/2 (/ (* x (pow (sin (PI)) 2)) (pow (cos (PI)) 2))))) (pow y 3))) (* 1/48 (/ (* (pow x 3) (pow (sin (PI)) 2)) (* (pow y 3) (pow (cos (PI)) 2)))))))))))
#s(approx (/ (+ (* (/ (pow x 3) (* y y)) -1/48) (* 1/2 x)) y) #s(hole binary64 (/ (+ (* -1/48 (/ (pow x 3) (pow y 2))) (* 1/2 x)) y)))
#s(approx (+ (* (/ (pow x 3) (* y y)) -1/48) (* 1/2 x)) #s(hole binary64 (+ (* -1/48 (/ (pow x 3) (pow y 2))) (* 1/2 x))))
#s(approx (/ (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) 2) (PI))) (sin (/ x (* y 2)))) #s(hole binary64 (* -1 (* y (+ (* -2 (/ (sin (PI)) (* x (cos (PI))))) (* 2 (/ (- (* -1/2 x) (* 1/2 (/ (* x (pow (sin (PI)) 2)) (pow (cos (PI)) 2)))) (* x y))))))))
#s(approx (/ (tan (+ (/ (/ x y) 2) (PI))) (sin (/ x (* y 2)))) #s(hole binary64 (* -1 (* y (+ (* -2 (/ (sin (PI)) (* x (cos (PI))))) (* -1 (/ (+ (* -2 (/ (- (* -1/2 x) (* 1/2 (/ (* x (pow (sin (PI)) 2)) (pow (cos (PI)) 2)))) x)) (* -1 (/ (- (/ (* (sin (PI)) (- (* -1/2 x) (* 1/2 (/ (* x (pow (sin (PI)) 2)) (pow (cos (PI)) 2))))) (cos (PI))) (* 1/12 (/ (* x (sin (PI))) (cos (PI))))) y))) y)))))))
#s(approx (/ (tan (+ (/ (/ x y) 2) (PI))) (sin (/ x (* y 2)))) #s(hole binary64 (* -1 (* y (+ (* -2 (/ (sin (PI)) (* x (cos (PI))))) (* -1 (/ (+ (* -2 (/ (- (* -1/2 x) (* 1/2 (/ (* x (pow (sin (PI)) 2)) (pow (cos (PI)) 2)))) x)) (* -1 (/ (- (+ (* -1 (/ (- (* -2 (/ (- (* 1/48 (pow x 3)) (+ (* -1/4 (/ (* (pow x 2) (* (pow (sin (PI)) 2) (- (* -1/2 x) (* 1/2 (/ (* x (pow (sin (PI)) 2)) (pow (cos (PI)) 2)))))) (pow (cos (PI)) 2))) (+ (* -1/8 (* (pow x 2) (- (* -1/2 x) (* 1/2 (/ (* x (pow (sin (PI)) 2)) (pow (cos (PI)) 2)))))) (* -1/48 (/ (* (pow x 3) (pow (sin (PI)) 2)) (pow (cos (PI)) 2)))))) x)) (* 1/12 (* x (- (* -1/2 x) (* 1/2 (/ (* x (pow (sin (PI)) 2)) (pow (cos (PI)) 2))))))) y)) (/ (* (sin (PI)) (- (* -1/2 x) (* 1/2 (/ (* x (pow (sin (PI)) 2)) (pow (cos (PI)) 2))))) (cos (PI)))) (* 1/12 (/ (* x (sin (PI))) (cos (PI))))) y))) y)))))))
#s(approx (tan (+ (/ (/ x y) 2) (PI))) #s(hole binary64 (+ (* -1 (/ (- (* -1/2 x) (* 1/2 (/ (* x (pow (sin (PI)) 2)) (pow (cos (PI)) 2)))) y)) (/ (sin (PI)) (cos (PI))))))
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#s(approx (tan (+ (/ (/ x y) 2) (PI))) #s(hole binary64 (+ (* -1 (/ (- (+ (* -1 (/ (- (* -1 (/ (- (* 1/48 (pow x 3)) (+ (* -1/4 (/ (* (pow x 2) (* (pow (sin (PI)) 2) (- (* -1/2 x) (* 1/2 (/ (* x (pow (sin (PI)) 2)) (pow (cos (PI)) 2)))))) (pow (cos (PI)) 2))) (+ (* -1/8 (* (pow x 2) (- (* -1/2 x) (* 1/2 (/ (* x (pow (sin (PI)) 2)) (pow (cos (PI)) 2)))))) (* -1/48 (/ (* (pow x 3) (pow (sin (PI)) 2)) (pow (cos (PI)) 2)))))) y)) (* 1/2 (/ (* x (* (sin (PI)) (- (* -1/2 x) (* 1/2 (/ (* x (pow (sin (PI)) 2)) (pow (cos (PI)) 2)))))) (cos (PI))))) y)) (* -1/2 x)) (* 1/2 (/ (* x (pow (sin (PI)) 2)) (pow (cos (PI)) 2)))) y)) (/ (sin (PI)) (cos (PI))))))
#s(approx (/ (+ (* (/ (pow x 3) (* y y)) -1/48) (* 1/2 x)) y) #s(hole binary64 (* -1 (/ (+ (* -1/2 x) (* 1/48 (/ (pow x 3) (pow y 2)))) y))))

Calls

6 calls:

Time	Variable		Point	Expression
15.0ms	y	@	0	((/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) 1 (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (tan (/ x (* y 2))) (* (/ x y) 1/2) (/ x y) x y 1/2 (sin (/ x (* y 2))) (/ x (* y 2)) (* y 2) 2 (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (pow (cos (* (/ x y) 1/2)) -1) (cos (* (/ x y) 1/2)) -1 (/ (tan (+ (/ (/ x y) 2) (PI))) (sin (/ x (* y 2)))) (tan (+ (/ (/ x y) 2) (PI))) (+ (/ (/ x y) 2) (PI)) (/ (/ x y) 2) (PI) (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (tan (/ x (* y 2))) (sin (/ x (* y 2))) (/ (+ (* (/ (pow x 3) (* y y)) -1/48) (* 1/2 x)) y) (+ (* (/ (pow x 3) (* y y)) -1/48) (* 1/2 x)) (/ (pow x 3) (* y y)) (pow x 3) 3 (* y y) -1/48 (* 1/2 x))
13.0ms	x	@	0	((/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) 1 (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (tan (/ x (* y 2))) (* (/ x y) 1/2) (/ x y) x y 1/2 (sin (/ x (* y 2))) (/ x (* y 2)) (* y 2) 2 (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (pow (cos (* (/ x y) 1/2)) -1) (cos (* (/ x y) 1/2)) -1 (/ (tan (+ (/ (/ x y) 2) (PI))) (sin (/ x (* y 2)))) (tan (+ (/ (/ x y) 2) (PI))) (+ (/ (/ x y) 2) (PI)) (/ (/ x y) 2) (PI) (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (tan (/ x (* y 2))) (sin (/ x (* y 2))) (/ (+ (* (/ (pow x 3) (* y y)) -1/48) (* 1/2 x)) y) (+ (* (/ (pow x 3) (* y y)) -1/48) (* 1/2 x)) (/ (pow x 3) (* y y)) (pow x 3) 3 (* y y) -1/48 (* 1/2 x))
8.0ms	x	@	inf	((/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) 1 (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (tan (/ x (* y 2))) (* (/ x y) 1/2) (/ x y) x y 1/2 (sin (/ x (* y 2))) (/ x (* y 2)) (* y 2) 2 (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (pow (cos (* (/ x y) 1/2)) -1) (cos (* (/ x y) 1/2)) -1 (/ (tan (+ (/ (/ x y) 2) (PI))) (sin (/ x (* y 2)))) (tan (+ (/ (/ x y) 2) (PI))) (+ (/ (/ x y) 2) (PI)) (/ (/ x y) 2) (PI) (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (tan (/ x (* y 2))) (sin (/ x (* y 2))) (/ (+ (* (/ (pow x 3) (* y y)) -1/48) (* 1/2 x)) y) (+ (* (/ (pow x 3) (* y y)) -1/48) (* 1/2 x)) (/ (pow x 3) (* y y)) (pow x 3) 3 (* y y) -1/48 (* 1/2 x))
7.0ms	y	@	inf	((/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) 1 (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (tan (/ x (* y 2))) (* (/ x y) 1/2) (/ x y) x y 1/2 (sin (/ x (* y 2))) (/ x (* y 2)) (* y 2) 2 (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (pow (cos (* (/ x y) 1/2)) -1) (cos (* (/ x y) 1/2)) -1 (/ (tan (+ (/ (/ x y) 2) (PI))) (sin (/ x (* y 2)))) (tan (+ (/ (/ x y) 2) (PI))) (+ (/ (/ x y) 2) (PI)) (/ (/ x y) 2) (PI) (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (tan (/ x (* y 2))) (sin (/ x (* y 2))) (/ (+ (* (/ (pow x 3) (* y y)) -1/48) (* 1/2 x)) y) (+ (* (/ (pow x 3) (* y y)) -1/48) (* 1/2 x)) (/ (pow x 3) (* y y)) (pow x 3) 3 (* y y) -1/48 (* 1/2 x))
6.0ms	x	@	-inf	((/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) 1 (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (tan (/ x (* y 2))) (* (/ x y) 1/2) (/ x y) x y 1/2 (sin (/ x (* y 2))) (/ x (* y 2)) (* y 2) 2 (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (pow (cos (* (/ x y) 1/2)) -1) (cos (* (/ x y) 1/2)) -1 (/ (tan (+ (/ (/ x y) 2) (PI))) (sin (/ x (* y 2)))) (tan (+ (/ (/ x y) 2) (PI))) (+ (/ (/ x y) 2) (PI)) (/ (/ x y) 2) (PI) (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (tan (/ x (* y 2))) (sin (/ x (* y 2))) (/ (+ (* (/ (pow x 3) (* y y)) -1/48) (* 1/2 x)) y) (+ (* (/ (pow x 3) (* y y)) -1/48) (* 1/2 x)) (/ (pow x 3) (* y y)) (pow x 3) 3 (* y y) -1/48 (* 1/2 x))

rewrite322.0ms (8.7%)

Memory

-12.1MiB live, 358.9MiB allocated; 62ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	771	5409
0	809	4373
1	5047	4369
0	8590	4169

Stop Event

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

Counts

136 → 221

Calls

Call 1

Inputs
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(literal 1 binary64))
#s(literal 1 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)))))
#s(approx (tan (/ x (* y 2))) (*.f64 (/.f64 x y) #s(literal 1/2 binary64)))
(*.f64 (/.f64 x y) #s(literal 1/2 binary64))
(/.f64 x y)
x
y
#s(literal 1/2 binary64)
(sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))
(/.f64 x (*.f64 y #s(literal 2 binary64)))
(*.f64 y #s(literal 2 binary64))
#s(literal 2 binary64)
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (pow.f64 (cos.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64))) #s(literal -1 binary64)))
(pow.f64 (cos.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64))) #s(literal -1 binary64))
(cos.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64)))
#s(literal -1 binary64)
(/.f64 (tan.f64 (+.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64)) (PI.f64))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
(tan.f64 (+.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64)) (PI.f64)))
(+.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64)) (PI.f64))
(/.f64 (/.f64 x y) #s(literal 2 binary64))
(PI.f64)
(/.f64 (tan.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) #s(approx (sin (/ x ( y 2))) (/.f64 (fma.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (.f64 y y)) #s(literal -1/48 binary64) (.f64 #s(literal 1/2 binary64) x)) y)))
(tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))
#s(approx (sin (/ x (* y 2))) (/.f64 (fma.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (.f64 y y)) #s(literal -1/48 binary64) (.f64 #s(literal 1/2 binary64) x)) y))
(/.f64 (fma.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (.f64 y y)) #s(literal -1/48 binary64) (.f64 #s(literal 1/2 binary64) x)) y)
(fma.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (.f64 y y)) #s(literal -1/48 binary64) (.f64 #s(literal 1/2 binary64) x))
(/.f64 (pow.f64 x #s(literal 3 binary64)) (*.f64 y y))
(pow.f64 x #s(literal 3 binary64))
#s(literal 3 binary64)
(*.f64 y y)
#s(literal -1/48 binary64)
(*.f64 #s(literal 1/2 binary64) x)
#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) 1/2) #s(hole binary64 (* 1/2 (/ x y))))
#s(approx (/ x y) #s(hole binary64 (/ x y)))
#s(approx x #s(hole binary64 x))
#s(approx (sin (/ x (* y 2))) #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 (pow (cos (* (/ x y) 1/2)) -1) #s(hole binary64 1))
#s(approx (pow (cos (* (/ x y) 1/2)) -1) #s(hole binary64 (+ 1 (* 1/8 (/ (pow x 2) (pow y 2))))))
#s(approx (pow (cos (* (/ x y) 1/2)) -1) #s(hole binary64 (+ 1 (* (pow x 2) (+ (* 5/384 (/ (pow x 2) (pow y 4))) (* 1/8 (/ 1 (pow y 2))))))))
#s(approx (pow (cos (* (/ x y) 1/2)) -1) #s(hole binary64 (+ 1 (* (pow x 2) (+ (* (pow x 2) (+ (* 61/46080 (/ (pow x 2) (pow y 6))) (* 5/384 (/ 1 (pow y 4))))) (* 1/8 (/ 1 (pow y 2))))))))
#s(approx (cos (* (/ x y) 1/2)) #s(hole binary64 1))
#s(approx (cos (* (/ x y) 1/2)) #s(hole binary64 (+ 1 (* -1/8 (/ (pow x 2) (pow y 2))))))
#s(approx (cos (* (/ x y) 1/2)) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 1/384 (/ (pow x 2) (pow y 4))) (* 1/8 (/ 1 (pow y 2))))))))
#s(approx (cos (* (/ x y) 1/2)) #s(hole binary64 (+ 1 (* (pow x 2) (- (* (pow x 2) (+ (* -1/46080 (/ (pow x 2) (pow y 6))) (* 1/384 (/ 1 (pow y 4))))) (* 1/8 (/ 1 (pow y 2))))))))
#s(approx (/ (tan (+ (/ (/ x y) 2) (PI))) (sin (/ x (* y 2)))) #s(hole binary64 (* 2 (/ (* y (sin (PI))) (* x (cos (PI)))))))
#s(approx (/ (tan (+ (/ (/ x y) 2) (PI))) (sin (/ x (* y 2)))) #s(hole binary64 (/ (+ (* 2 (* x (* y (- (* 1/2 (/ 1 y)) (* -1/2 (/ (pow (sin (PI)) 2) (* y (pow (cos (PI)) 2)))))))) (* 2 (/ (* y (sin (PI))) (cos (PI))))) x)))
#s(approx (/ (tan (+ (/ (/ x y) 2) (PI))) (sin (/ x (* y 2)))) #s(hole binary64 (/ (+ (* 2 (/ (* y (sin (PI))) (cos (PI)))) (* x (+ (* 2 (* y (- (* 1/2 (/ 1 y)) (* -1/2 (/ (pow (sin (PI)) 2) (* y (pow (cos (PI)) 2))))))) (* x (- (/ (* (sin (PI)) (- (* 1/2 (/ 1 y)) (* -1/2 (/ (pow (sin (PI)) 2) (* y (pow (cos (PI)) 2)))))) (cos (PI))) (* -1/12 (/ (sin (PI)) (* y (cos (PI)))))))))) x)))
#s(approx (/ (tan (+ (/ (/ x y) 2) (PI))) (sin (/ x (* y 2)))) #s(hole binary64 (/ (+ (* 2 (/ (* y (sin (PI))) (cos (PI)))) (* x (+ (* 2 (* y (- (* 1/2 (/ 1 y)) (* -1/2 (/ (pow (sin (PI)) 2) (* y (pow (cos (PI)) 2))))))) (* x (- (+ (* x (- (* -2 (* y (+ (* -1/4 (/ (* (pow (sin (PI)) 2) (- (* 1/2 (/ 1 y)) (* -1/2 (/ (pow (sin (PI)) 2) (* y (pow (cos (PI)) 2)))))) (* (pow y 2) (pow (cos (PI)) 2)))) (+ (* -1/8 (/ (- (* 1/2 (/ 1 y)) (* -1/2 (/ (pow (sin (PI)) 2) (* y (pow (cos (PI)) 2))))) (pow y 2))) (+ (* 1/48 (/ 1 (pow y 3))) (* 1/48 (/ (pow (sin (PI)) 2) (* (pow y 3) (pow (cos (PI)) 2))))))))) (* -1/12 (/ (- (* 1/2 (/ 1 y)) (* -1/2 (/ (pow (sin (PI)) 2) (* y (pow (cos (PI)) 2))))) y)))) (/ (* (sin (PI)) (- (* 1/2 (/ 1 y)) (* -1/2 (/ (pow (sin (PI)) 2) (* y (pow (cos (PI)) 2)))))) (cos (PI)))) (* -1/12 (/ (sin (PI)) (* y (cos (PI)))))))))) x)))
#s(approx (tan (+ (/ (/ x y) 2) (PI))) #s(hole binary64 (/ (sin (PI)) (cos (PI)))))
#s(approx (tan (+ (/ (/ x y) 2) (PI))) #s(hole binary64 (+ (* x (- (* 1/2 (/ 1 y)) (* -1/2 (/ (pow (sin (PI)) 2) (* y (pow (cos (PI)) 2)))))) (/ (sin (PI)) (cos (PI))))))
#s(approx (tan (+ (/ (/ x y) 2) (PI))) #s(hole binary64 (+ (* x (- (+ (* 1/2 (/ 1 y)) (* 1/2 (/ (* x (* (sin (PI)) (- (* 1/2 (/ 1 y)) (* -1/2 (/ (pow (sin (PI)) 2) (* y (pow (cos (PI)) 2))))))) (* y (cos (PI)))))) (* -1/2 (/ (pow (sin (PI)) 2) (* y (pow (cos (PI)) 2)))))) (/ (sin (PI)) (cos (PI))))))
#s(approx (tan (+ (/ (/ x y) 2) (PI))) #s(hole binary64 (+ (* x (- (+ (* 1/2 (/ 1 y)) (* x (- (* -1 (* x (+ (* -1/4 (/ (* (pow (sin (PI)) 2) (- (* 1/2 (/ 1 y)) (* -1/2 (/ (pow (sin (PI)) 2) (* y (pow (cos (PI)) 2)))))) (* (pow y 2) (pow (cos (PI)) 2)))) (+ (* -1/8 (/ (- (* 1/2 (/ 1 y)) (* -1/2 (/ (pow (sin (PI)) 2) (* y (pow (cos (PI)) 2))))) (pow y 2))) (+ (* 1/48 (/ 1 (pow y 3))) (* 1/48 (/ (pow (sin (PI)) 2) (* (pow y 3) (pow (cos (PI)) 2))))))))) (* -1/2 (/ (* (sin (PI)) (- (* 1/2 (/ 1 y)) (* -1/2 (/ (pow (sin (PI)) 2) (* y (pow (cos (PI)) 2)))))) (* y (cos (PI)))))))) (* -1/2 (/ (pow (sin (PI)) 2) (* y (pow (cos (PI)) 2)))))) (/ (sin (PI)) (cos (PI))))))
#s(approx (+ (/ (/ x y) 2) (PI)) #s(hole binary64 (PI)))
#s(approx (+ (/ (/ x y) 2) (PI)) #s(hole binary64 (+ (PI) (* 1/2 (/ x y)))))
#s(approx (/ (/ x y) 2) #s(hole binary64 (* 1/2 (/ x y))))
#s(approx (/ (+ (* (/ (pow x 3) (* y y)) -1/48) (* 1/2 x)) y) #s(hole binary64 (* 1/2 (/ x y))))
#s(approx (/ (+ (* (/ (pow x 3) (* y y)) -1/48) (* 1/2 x)) y) #s(hole binary64 (* x (+ (* -1/48 (/ (pow x 2) (pow y 3))) (* 1/2 (/ 1 y))))))
#s(approx (+ (* (/ (pow x 3) (* y y)) -1/48) (* 1/2 x)) #s(hole binary64 (* 1/2 x)))
#s(approx (+ (* (/ (pow x 3) (* y y)) -1/48) (* 1/2 x)) #s(hole binary64 (* x (+ 1/2 (* -1/48 (/ (pow x 2) (pow y 2)))))))
#s(approx (/ (pow x 3) (* y y)) #s(hole binary64 (/ (pow x 3) (pow y 2))))
#s(approx (pow x 3) #s(hole binary64 (pow x 3)))
#s(approx (* 1/2 x) #s(hole binary64 (* 1/2 x)))
#s(approx (/ (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 (pow (cos (* (/ x y) 1/2)) -1) #s(hole binary64 (/ 1 (cos (* 1/2 (/ x y))))))
#s(approx (cos (* (/ x y) 1/2)) #s(hole binary64 (cos (* 1/2 (/ x y)))))
#s(approx (/ (tan (+ (/ (/ x y) 2) (PI))) (sin (/ x (* y 2)))) #s(hole binary64 (/ (sin (+ (PI) (* 1/2 (/ x y)))) (* (cos (+ (PI) (* 1/2 (/ x y)))) (sin (* 1/2 (/ x y)))))))
#s(approx (tan (+ (/ (/ x y) 2) (PI))) #s(hole binary64 (/ (sin (+ (PI) (* 1/2 (/ x y)))) (cos (+ (PI) (* 1/2 (/ x y)))))))
#s(approx (+ (/ (/ x y) 2) (PI)) #s(hole binary64 (* 1/2 (/ x y))))
#s(approx (+ (/ (/ x y) 2) (PI)) #s(hole binary64 (* x (+ (* 1/2 (/ 1 y)) (/ (PI) x)))))
#s(approx (/ (+ (* (/ (pow x 3) (* y y)) -1/48) (* 1/2 x)) y) #s(hole binary64 (* -1/48 (/ (pow x 3) (pow y 3)))))
#s(approx (/ (+ (* (/ (pow x 3) (* y y)) -1/48) (* 1/2 x)) y) #s(hole binary64 (* (pow x 3) (- (* 1/2 (/ 1 (* (pow x 2) y))) (* 1/48 (/ 1 (pow y 3)))))))
#s(approx (+ (* (/ (pow x 3) (* y y)) -1/48) (* 1/2 x)) #s(hole binary64 (* -1/48 (/ (pow x 3) (pow y 2)))))
#s(approx (+ (* (/ (pow x 3) (* y y)) -1/48) (* 1/2 x)) #s(hole binary64 (* (pow x 3) (- (* 1/2 (/ 1 (pow x 2))) (* 1/48 (/ 1 (pow y 2)))))))
#s(approx (/ (tan (+ (/ (/ x y) 2) (PI))) (sin (/ x (* y 2)))) #s(hole binary64 (/ (sin (- (PI) (* -1/2 (/ x y)))) (* (cos (- (PI) (* -1/2 (/ x y)))) (sin (* 1/2 (/ x y)))))))
#s(approx (tan (+ (/ (/ x y) 2) (PI))) #s(hole binary64 (/ (sin (- (PI) (* -1/2 (/ x y)))) (cos (- (PI) (* -1/2 (/ x y)))))))
#s(approx (+ (/ (/ x y) 2) (PI)) #s(hole binary64 (* -1 (* x (- (* -1 (/ (PI) x)) (* 1/2 (/ 1 y)))))))
#s(approx (/ (+ (* (/ (pow x 3) (* y y)) -1/48) (* 1/2 x)) y) #s(hole binary64 (* -1 (* (pow x 3) (- (* 1/48 (/ 1 (pow y 3))) (* 1/2 (/ 1 (* (pow x 2) y))))))))
#s(approx (+ (* (/ (pow x 3) (* y y)) -1/48) (* 1/2 x)) #s(hole binary64 (* -1 (* (pow x 3) (- (* 1/48 (/ 1 (pow y 2))) (* 1/2 (/ 1 (pow x 2))))))))
#s(approx y #s(hole binary64 y))
#s(approx (* y 2) #s(hole binary64 (* 2 y)))
#s(approx (+ (/ (/ x y) 2) (PI)) #s(hole binary64 (/ (+ (* 1/2 x) (* y (PI))) y)))
#s(approx (/ (+ (* (/ (pow x 3) (* y y)) -1/48) (* 1/2 x)) y) #s(hole binary64 (/ (+ (* -1/48 (pow x 3)) (* 1/2 (* x (pow y 2)))) (pow y 3))))
#s(approx (+ (* (/ (pow x 3) (* y y)) -1/48) (* 1/2 x)) #s(hole binary64 (/ (+ (* -1/48 (pow x 3)) (* 1/2 (* x (pow y 2)))) (pow y 2))))
#s(approx (* y y) #s(hole binary64 (pow y 2)))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(hole binary64 (- (+ 1 (* 2 (/ (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3))) (* x (pow y 2))))) (* -1/24 (/ (pow x 2) (pow y 2))))))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(hole binary64 (- (+ 1 (+ (* 2 (/ (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3))) (* x (pow y 2)))) (* 2 (/ (- (* 1/3840 (pow x 5)) (+ (* -1/8 (* (pow x 2) (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3))))) (* 1/768 (pow x 5)))) (* x (pow y 4)))))) (+ (* -1/24 (/ (* (pow x 2) (- (* 2 (/ (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3))) x)) (* -1/24 (pow x 2)))) (pow y 4))) (+ (* -1/24 (/ (pow x 2) (pow y 2))) (* 1/1920 (/ (pow x 4) (pow y 4))))))))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(hole binary64 (- (+ 1 (+ (* 2 (/ (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3))) (* x (pow y 2)))) (+ (* 2 (/ (- (* -1/645120 (pow x 7)) (+ (* -1/8 (* (pow x 2) (- (* 1/3840 (pow x 5)) (+ (* -1/8 (* (pow x 2) (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3))))) (* 1/768 (pow x 5)))))) (+ (* -1/92160 (pow x 7)) (* 1/384 (* (pow x 4) (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3)))))))) (* x (pow y 6)))) (* 2 (/ (- (* 1/3840 (pow x 5)) (+ (* -1/8 (* (pow x 2) (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3))))) (* 1/768 (pow x 5)))) (* x (pow y 4))))))) (+ (* -1/24 (/ (* (pow x 2) (- (* 2 (/ (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3))) x)) (* -1/24 (pow x 2)))) (pow y 4))) (+ (* -1/24 (/ (* (pow x 2) (- (* 2 (/ (- (* 1/3840 (pow x 5)) (+ (* -1/8 (* (pow x 2) (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3))))) (* 1/768 (pow x 5)))) x)) (+ (* -1/24 (* (pow x 2) (- (* 2 (/ (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3))) x)) (* -1/24 (pow x 2))))) (* 1/1920 (pow x 4))))) (pow y 6))) (+ (* -1/24 (/ (pow x 2) (pow y 2))) (+ (* -1/322560 (/ (pow x 6) (pow y 6))) (+ (* 1/1920 (/ (* (pow x 4) (- (* 2 (/ (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3))) x)) (* -1/24 (pow x 2)))) (pow y 6))) (* 1/1920 (/ (pow x 4) (pow y 4)))))))))))
#s(approx (tan (/ x (* y 2))) #s(hole binary64 (/ (- (+ (* -1/48 (/ (pow x 3) (pow y 2))) (* 1/2 x)) (* -1/16 (/ (pow x 3) (pow y 2)))) y)))
#s(approx (tan (/ x (* y 2))) #s(hole binary64 (/ (- (+ (* -1/48 (/ (pow x 3) (pow y 2))) (+ (* 1/3840 (/ (pow x 5) (pow y 4))) (* 1/2 x))) (+ (* -1/8 (/ (* (pow x 2) (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3)))) (pow y 4))) (+ (* -1/16 (/ (pow x 3) (pow y 2))) (* 1/768 (/ (pow x 5) (pow y 4)))))) y)))
#s(approx (tan (/ x (* y 2))) #s(hole binary64 (/ (- (+ (* -1/48 (/ (pow x 3) (pow y 2))) (+ (* -1/645120 (/ (pow x 7) (pow y 6))) (+ (* 1/3840 (/ (pow x 5) (pow y 4))) (* 1/2 x)))) (+ (* -1/8 (/ (* (pow x 2) (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3)))) (pow y 4))) (+ (* -1/8 (/ (* (pow x 2) (- (* 1/3840 (pow x 5)) (+ (* -1/8 (* (pow x 2) (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3))))) (* 1/768 (pow x 5))))) (pow y 6))) (+ (* -1/16 (/ (pow x 3) (pow y 2))) (+ (* -1/92160 (/ (pow x 7) (pow y 6))) (+ (* 1/768 (/ (pow x 5) (pow y 4))) (* 1/384 (/ (* (pow x 4) (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3)))) (pow y 6))))))))) y)))
#s(approx (sin (/ x (* y 2))) #s(hole binary64 (/ (+ (* -1/48 (/ (pow x 3) (pow y 2))) (* 1/2 x)) y)))
#s(approx (sin (/ x (* y 2))) #s(hole binary64 (/ (+ (* -1/48 (/ (pow x 3) (pow y 2))) (+ (* 1/3840 (/ (pow x 5) (pow y 4))) (* 1/2 x))) y)))
#s(approx (sin (/ x (* y 2))) #s(hole binary64 (/ (+ (* -1/48 (/ (pow x 3) (pow y 2))) (+ (* -1/645120 (/ (pow x 7) (pow y 6))) (+ (* 1/3840 (/ (pow x 5) (pow y 4))) (* 1/2 x)))) y)))
#s(approx (pow (cos (* (/ x y) 1/2)) -1) #s(hole binary64 (- (+ 1 (* -1 (/ (+ (* -1/64 (pow x 4)) (* 1/384 (pow x 4))) (pow y 4)))) (* -1/8 (/ (pow x 2) (pow y 2))))))
#s(approx (pow (cos (* (/ x y) 1/2)) -1) #s(hole binary64 (- (+ 1 (* -1 (/ (+ (* -1/46080 (pow x 6)) (+ (* 1/3072 (pow x 6)) (* 1/8 (* (pow x 2) (+ (* -1/64 (pow x 4)) (* 1/384 (pow x 4))))))) (pow y 6)))) (+ (* -1/8 (/ (pow x 2) (pow y 2))) (+ (* -1/64 (/ (pow x 4) (pow y 4))) (* 1/384 (/ (pow x 4) (pow y 4))))))))
#s(approx (cos (* (/ x y) 1/2)) #s(hole binary64 (+ 1 (+ (* -1/8 (/ (pow x 2) (pow y 2))) (* 1/384 (/ (pow x 4) (pow y 4)))))))
#s(approx (cos (* (/ x y) 1/2)) #s(hole binary64 (+ 1 (+ (* -1/8 (/ (pow x 2) (pow y 2))) (+ (* -1/46080 (/ (pow x 6) (pow y 6))) (* 1/384 (/ (pow x 4) (pow y 4))))))))
#s(approx (/ (tan (+ (/ (/ x y) 2) (PI))) (sin (/ x (* y 2)))) #s(hole binary64 (* y (+ (* 2 (/ (sin (PI)) (* x (cos (PI))))) (* 2 (/ (- (* 1/2 x) (* -1/2 (/ (* x (pow (sin (PI)) 2)) (pow (cos (PI)) 2)))) (* x y)))))))
#s(approx (/ (tan (+ (/ (/ x y) 2) (PI))) (sin (/ x (* y 2)))) #s(hole binary64 (* y (- (+ (* 2 (/ (sin (PI)) (* x (cos (PI))))) (+ (* 2 (/ (- (* 1/2 x) (* -1/2 (/ (* x (pow (sin (PI)) 2)) (pow (cos (PI)) 2)))) (* x y))) (/ (* (sin (PI)) (- (* 1/2 x) (* -1/2 (/ (* x (pow (sin (PI)) 2)) (pow (cos (PI)) 2))))) (* (pow y 2) (cos (PI)))))) (* -1/12 (/ (* x (sin (PI))) (* (pow y 2) (cos (PI)))))))))
#s(approx (/ (tan (+ (/ (/ x y) 2) (PI))) (sin (/ x (* y 2)))) #s(hole binary64 (* y (- (+ (* 2 (/ (sin (PI)) (* x (cos (PI))))) (+ (* 2 (/ (- (* -1/48 (pow x 3)) (+ (* -1/4 (/ (* (pow x 2) (* (pow (sin (PI)) 2) (- (* 1/2 x) (* -1/2 (/ (* x (pow (sin (PI)) 2)) (pow (cos (PI)) 2)))))) (pow (cos (PI)) 2))) (+ (* -1/8 (* (pow x 2) (- (* 1/2 x) (* -1/2 (/ (* x (pow (sin (PI)) 2)) (pow (cos (PI)) 2)))))) (* 1/48 (/ (* (pow x 3) (pow (sin (PI)) 2)) (pow (cos (PI)) 2)))))) (* x (pow y 3)))) (+ (* 2 (/ (- (* 1/2 x) (* -1/2 (/ (* x (pow (sin (PI)) 2)) (pow (cos (PI)) 2)))) (* x y))) (/ (* (sin (PI)) (- (* 1/2 x) (* -1/2 (/ (* x (pow (sin (PI)) 2)) (pow (cos (PI)) 2))))) (* (pow y 2) (cos (PI))))))) (+ (* -1/12 (/ (* x (sin (PI))) (* (pow y 2) (cos (PI))))) (* -1/12 (/ (* x (- (* 1/2 x) (* -1/2 (/ (* x (pow (sin (PI)) 2)) (pow (cos (PI)) 2))))) (pow y 3))))))))
#s(approx (tan (+ (/ (/ x y) 2) (PI))) #s(hole binary64 (- (+ (* 1/2 (/ x y)) (/ (sin (PI)) (cos (PI)))) (* -1/2 (/ (* x (pow (sin (PI)) 2)) (* y (pow (cos (PI)) 2)))))))
#s(approx (tan (+ (/ (/ x y) 2) (PI))) #s(hole binary64 (- (+ (* 1/2 (/ x y)) (+ (* 1/2 (/ (* x (* (sin (PI)) (- (* 1/2 x) (* -1/2 (/ (* x (pow (sin (PI)) 2)) (pow (cos (PI)) 2)))))) (* (pow y 2) (cos (PI))))) (/ (sin (PI)) (cos (PI))))) (* -1/2 (/ (* x (pow (sin (PI)) 2)) (* y (pow (cos (PI)) 2)))))))
#s(approx (tan (+ (/ (/ x y) 2) (PI))) #s(hole binary64 (- (+ (* -1/48 (/ (pow x 3) (pow y 3))) (+ (* 1/2 (/ x y)) (/ (sin (PI)) (cos (PI))))) (+ (* -1/2 (/ (* x (* (sin (PI)) (- (* 1/2 x) (* -1/2 (/ (* x (pow (sin (PI)) 2)) (pow (cos (PI)) 2)))))) (* (pow y 2) (cos (PI))))) (+ (* -1/2 (/ (* x (pow (sin (PI)) 2)) (* y (pow (cos (PI)) 2)))) (+ (* -1/4 (/ (* (pow x 2) (* (pow (sin (PI)) 2) (- (* 1/2 x) (* -1/2 (/ (* x (pow (sin (PI)) 2)) (pow (cos (PI)) 2)))))) (* (pow y 3) (pow (cos (PI)) 2)))) (+ (* -1/8 (/ (* (pow x 2) (- (* 1/2 x) (* -1/2 (/ (* x (pow (sin (PI)) 2)) (pow (cos (PI)) 2))))) (pow y 3))) (* 1/48 (/ (* (pow x 3) (pow (sin (PI)) 2)) (* (pow y 3) (pow (cos (PI)) 2)))))))))))
#s(approx (/ (+ (* (/ (pow x 3) (* y y)) -1/48) (* 1/2 x)) y) #s(hole binary64 (/ (+ (* -1/48 (/ (pow x 3) (pow y 2))) (* 1/2 x)) y)))
#s(approx (+ (* (/ (pow x 3) (* y y)) -1/48) (* 1/2 x)) #s(hole binary64 (+ (* -1/48 (/ (pow x 3) (pow y 2))) (* 1/2 x))))
#s(approx (/ (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) 2) (PI))) (sin (/ x (* y 2)))) #s(hole binary64 (* -1 (* y (+ (* -2 (/ (sin (PI)) (* x (cos (PI))))) (* 2 (/ (- (* -1/2 x) (* 1/2 (/ (* x (pow (sin (PI)) 2)) (pow (cos (PI)) 2)))) (* x y))))))))
#s(approx (/ (tan (+ (/ (/ x y) 2) (PI))) (sin (/ x (* y 2)))) #s(hole binary64 (* -1 (* y (+ (* -2 (/ (sin (PI)) (* x (cos (PI))))) (* -1 (/ (+ (* -2 (/ (- (* -1/2 x) (* 1/2 (/ (* x (pow (sin (PI)) 2)) (pow (cos (PI)) 2)))) x)) (* -1 (/ (- (/ (* (sin (PI)) (- (* -1/2 x) (* 1/2 (/ (* x (pow (sin (PI)) 2)) (pow (cos (PI)) 2))))) (cos (PI))) (* 1/12 (/ (* x (sin (PI))) (cos (PI))))) y))) y)))))))
#s(approx (/ (tan (+ (/ (/ x y) 2) (PI))) (sin (/ x (* y 2)))) #s(hole binary64 (* -1 (* y (+ (* -2 (/ (sin (PI)) (* x (cos (PI))))) (* -1 (/ (+ (* -2 (/ (- (* -1/2 x) (* 1/2 (/ (* x (pow (sin (PI)) 2)) (pow (cos (PI)) 2)))) x)) (* -1 (/ (- (+ (* -1 (/ (- (* -2 (/ (- (* 1/48 (pow x 3)) (+ (* -1/4 (/ (* (pow x 2) (* (pow (sin (PI)) 2) (- (* -1/2 x) (* 1/2 (/ (* x (pow (sin (PI)) 2)) (pow (cos (PI)) 2)))))) (pow (cos (PI)) 2))) (+ (* -1/8 (* (pow x 2) (- (* -1/2 x) (* 1/2 (/ (* x (pow (sin (PI)) 2)) (pow (cos (PI)) 2)))))) (* -1/48 (/ (* (pow x 3) (pow (sin (PI)) 2)) (pow (cos (PI)) 2)))))) x)) (* 1/12 (* x (- (* -1/2 x) (* 1/2 (/ (* x (pow (sin (PI)) 2)) (pow (cos (PI)) 2))))))) y)) (/ (* (sin (PI)) (- (* -1/2 x) (* 1/2 (/ (* x (pow (sin (PI)) 2)) (pow (cos (PI)) 2))))) (cos (PI)))) (* 1/12 (/ (* x (sin (PI))) (cos (PI))))) y))) y)))))))
#s(approx (tan (+ (/ (/ x y) 2) (PI))) #s(hole binary64 (+ (* -1 (/ (- (* -1/2 x) (* 1/2 (/ (* x (pow (sin (PI)) 2)) (pow (cos (PI)) 2)))) y)) (/ (sin (PI)) (cos (PI))))))
#s(approx (tan (+ (/ (/ x y) 2) (PI))) #s(hole binary64 (+ (* -1 (/ (- (+ (* -1/2 x) (* 1/2 (/ (* x (* (sin (PI)) (- (* -1/2 x) (* 1/2 (/ (* x (pow (sin (PI)) 2)) (pow (cos (PI)) 2)))))) (* y (cos (PI)))))) (* 1/2 (/ (* x (pow (sin (PI)) 2)) (pow (cos (PI)) 2)))) y)) (/ (sin (PI)) (cos (PI))))))
#s(approx (tan (+ (/ (/ x y) 2) (PI))) #s(hole binary64 (+ (* -1 (/ (- (+ (* -1 (/ (- (* -1 (/ (- (* 1/48 (pow x 3)) (+ (* -1/4 (/ (* (pow x 2) (* (pow (sin (PI)) 2) (- (* -1/2 x) (* 1/2 (/ (* x (pow (sin (PI)) 2)) (pow (cos (PI)) 2)))))) (pow (cos (PI)) 2))) (+ (* -1/8 (* (pow x 2) (- (* -1/2 x) (* 1/2 (/ (* x (pow (sin (PI)) 2)) (pow (cos (PI)) 2)))))) (* -1/48 (/ (* (pow x 3) (pow (sin (PI)) 2)) (pow (cos (PI)) 2)))))) y)) (* 1/2 (/ (* x (* (sin (PI)) (- (* -1/2 x) (* 1/2 (/ (* x (pow (sin (PI)) 2)) (pow (cos (PI)) 2)))))) (cos (PI))))) y)) (* -1/2 x)) (* 1/2 (/ (* x (pow (sin (PI)) 2)) (pow (cos (PI)) 2)))) y)) (/ (sin (PI)) (cos (PI))))))
#s(approx (/ (+ (* (/ (pow x 3) (* y y)) -1/48) (* 1/2 x)) y) #s(hole binary64 (* -1 (/ (+ (* -1/2 x) (* 1/48 (/ (pow x 3) (pow y 2)))) y))))

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

eval39.0ms (1.1%)

Memory: 17.5MiB live, 117.5MiB allocated; 15ms collecting garbage
Compiler: Compiled 9 255 to 1 237 computations (86.6% saved)

prune18.0ms (0.5%)

Memory

15.8MiB live, 61.7MiB allocated; 3ms collecting garbage

Pruning

17 alts after pruning (16 fresh and 1 done)

	Pruned	Kept	Total
New	260	12	272
Fresh	3	4	7
Picked	4	1	5
Done	0	0	0
Total	267	17	284

Accuracy

61.4%

Counts

284 → 17

Alt Table

Click to see full alt table

Status	Accuracy	Program
	5.8%	(/.f64 (/.f64 (+.f64 (tan.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64))) (tan.f64 (PI.f64))) (-.f64 #s(literal 1 binary64) (.f64 (tan.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64))) (tan.f64 (PI.f64))))) (sin.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))))
	42.3%	(/.f64 (/.f64 (sin.f64 (/.f64 x y)) (+.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x y)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
▶	42.5%	(/.f64 (/.f64 (neg.f64 (sin.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64)))) (cos.f64 (+.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64)) (PI.f64)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
	3.2%	(/.f64 (tan.f64 (/.f64 (+.f64 (pow.f64 (/.f64 x (.f64 #s(literal 2 binary64) y)) #s(literal 3 binary64)) (pow.f64 (PI.f64) #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 x (.f64 #s(literal 2 binary64) y)) #s(literal 2 binary64)) (-.f64 (.f64 (PI.f64) (PI.f64)) (.f64 (/.f64 x (.f64 #s(literal 2 binary64) y)) (PI.f64)))))) (sin.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))))
	42.3%	(/.f64 (tan.f64 (/.f64 x (+.f64 y y))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
	5.7%	(/.f64 (tan.f64 #s(approx (+ (/ (/ x y) 2) (PI)) (fma.f64 (/.f64 x y) #s(literal 1/2 binary64) (PI.f64)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
▶	5.8%	(/.f64 (tan.f64 #s(approx (+ (/ (/ x y) 2) (PI)) (/.f64 (fma.f64 (PI.f64) y (.f64 #s(literal 1/2 binary64) x)) y))) (sin.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))))
	5.7%	(/.f64 (tan.f64 #s(approx (+ (/ (/ x y) 2) (PI)) (.f64 (+.f64 (/.f64 (PI.f64) x) (/.f64 #s(literal 1/2 binary64) y)) x))) (sin.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))))
	52.9%	#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (pow.f64 (pow.f64 (cos.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64))) #s(literal -1/2 binary64)) #s(literal 2 binary64)))
▶	55.1%	#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (pow.f64 (sin.f64 (fma.f64 (/.f64 x y) #s(literal 1/2 binary64) (/.f64 (PI.f64) #s(literal 2 binary64)))) #s(literal -1 binary64)))
	55.3%	#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (pow.f64 (sin.f64 (+.f64 (neg.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64))) (/.f64 (PI.f64) #s(literal 2 binary64)))) #s(literal -1 binary64)))
	44.2%	#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 (.f64 #s(literal 2 binary64) (fma.f64 (.f64 y x) (-.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal 0 binary64) (.f64 #s(literal 1 binary64) y))) (.f64 #s(literal 0 binary64) y))) x))
	55.2%	#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64)))))
▶	55.4%	#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal -1 binary64) (cos.f64 (fma.f64 (/.f64 x y) #s(literal 1/2 binary64) (PI.f64)))))
	44.2%	#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) x (.f64 (.f64 #s(literal 0 binary64) x) #s(literal 1/2 binary64))) (.f64 y x)) #s(literal 2 binary64) (/.f64 (/.f64 #s(literal 0 binary64) x) #s(literal -1 binary64))) y))
▶	2.7%	#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (.f64 (.f64 (/.f64 y x) #s(literal 0 binary64)) #s(literal 2 binary64)))
✓	56.8%	#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(literal 1 binary64))

Compiler

Compiled 821 to 564 computations (31.3% saved)

series61.0ms (1.7%)

Memory

-32.7MiB live, 152.4MiB allocated; 20ms collecting garbage

Counts

37 → 181

Calls

Call 1

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

Outputs
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(hole binary64 1))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(hole binary64 (+ 1 (* 1/8 (/ (pow x 2) (pow y 2))))))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(hole binary64 (+ 1 (* (pow x 2) (+ (* 5/384 (/ (pow x 2) (pow y 4))) (* 1/8 (/ 1 (pow y 2))))))))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(hole binary64 (+ 1 (* (pow x 2) (+ (* (pow x 2) (+ (* 61/46080 (/ (pow x 2) (pow y 6))) (* 5/384 (/ 1 (pow y 4))))) (* 1/8 (/ 1 (pow y 2))))))))
#s(approx (/ -1 (cos (+ (* (/ x y) 1/2) (PI)))) #s(hole binary64 (/ -1 (cos (PI)))))
#s(approx (/ -1 (cos (+ (* (/ x y) 1/2) (PI)))) #s(hole binary64 (- (* -1/2 (/ (* x (sin (PI))) (* y (pow (cos (PI)) 2)))) (/ 1 (cos (PI))))))
#s(approx (/ -1 (cos (+ (* (/ x y) 1/2) (PI)))) #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 (/ -1 (cos (+ (* (/ x y) 1/2) (PI)))) #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 (cos (+ (* (/ x y) 1/2) (PI))) #s(hole binary64 (cos (PI))))
#s(approx (cos (+ (* (/ x y) 1/2) (PI))) #s(hole binary64 (+ (cos (PI)) (* -1/2 (/ (* x (sin (PI))) y)))))
#s(approx (cos (+ (* (/ x y) 1/2) (PI))) #s(hole binary64 (+ (cos (PI)) (* x (- (* -1/8 (/ (* x (cos (PI))) (pow y 2))) (* 1/2 (/ (sin (PI)) y)))))))
#s(approx (cos (+ (* (/ x y) 1/2) (PI))) #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 (+ (* (/ x y) 1/2) (PI)) #s(hole binary64 (PI)))
#s(approx (+ (* (/ x y) 1/2) (PI)) #s(hole binary64 (+ (PI) (* 1/2 (/ x y)))))
#s(approx (/ x y) #s(hole binary64 (/ x y)))
#s(approx x #s(hole binary64 x))
#s(approx (* (* (/ y x) 0) 2) #s(hole binary64 0))
#s(approx (* (/ y x) 0) #s(hole binary64 0))
#s(approx (/ y x) #s(hole binary64 (/ y x)))
#s(approx (pow (sin (+ (* (/ x y) 1/2) (/ (PI) 2))) -1) #s(hole binary64 (/ 1 (sin (* 1/2 (PI))))))
#s(approx (pow (sin (+ (* (/ x y) 1/2) (/ (PI) 2))) -1) #s(hole binary64 (+ (* -1/2 (/ (* x (cos (* 1/2 (PI)))) (* y (pow (sin (* 1/2 (PI))) 2)))) (/ 1 (sin (* 1/2 (PI)))))))
#s(approx (pow (sin (+ (* (/ x y) 1/2) (/ (PI) 2))) -1) #s(hole binary64 (+ (* x (- (* x (- (* 1/8 (/ 1 (* (pow y 2) (sin (* 1/2 (PI)))))) (* -1/4 (/ (pow (cos (* 1/2 (PI))) 2) (* (pow y 2) (pow (sin (* 1/2 (PI))) 3)))))) (* 1/2 (/ (cos (* 1/2 (PI))) (* y (pow (sin (* 1/2 (PI))) 2)))))) (/ 1 (sin (* 1/2 (PI)))))))
#s(approx (pow (sin (+ (* (/ x y) 1/2) (/ (PI) 2))) -1) #s(hole binary64 (+ (* x (- (* x (- (+ (* -1 (* x (+ (* -1/48 (/ (cos (* 1/2 (PI))) (* (pow y 3) (pow (sin (* 1/2 (PI))) 2)))) (+ (* 1/16 (/ (cos (* 1/2 (PI))) (* (pow y 3) (pow (sin (* 1/2 (PI))) 2)))) (* 1/2 (/ (* (cos (* 1/2 (PI))) (- (* 1/8 (/ 1 (* (pow y 2) (sin (* 1/2 (PI)))))) (* -1/4 (/ (pow (cos (* 1/2 (PI))) 2) (* (pow y 2) (pow (sin (* 1/2 (PI))) 3)))))) (* y (sin (* 1/2 (PI)))))))))) (* 1/8 (/ 1 (* (pow y 2) (sin (* 1/2 (PI))))))) (* -1/4 (/ (pow (cos (* 1/2 (PI))) 2) (* (pow y 2) (pow (sin (* 1/2 (PI))) 3)))))) (* 1/2 (/ (cos (* 1/2 (PI))) (* y (pow (sin (* 1/2 (PI))) 2)))))) (/ 1 (sin (* 1/2 (PI)))))))
#s(approx (sin (+ (* (/ x y) 1/2) (/ (PI) 2))) #s(hole binary64 (sin (* 1/2 (PI)))))
#s(approx (sin (+ (* (/ x y) 1/2) (/ (PI) 2))) #s(hole binary64 (+ (sin (* 1/2 (PI))) (* 1/2 (/ (* x (cos (* 1/2 (PI)))) y)))))
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Calls

6 calls:

Time	Variable		Point	Expression
15.0ms	x	@	-inf	((/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/ -1 (cos (+ (* (/ x y) 1/2) (PI)))) -1 (cos (+ (* (/ x y) 1/2) (PI))) (+ (* (/ x y) 1/2) (PI)) (/ x y) x y 1/2 (PI) (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (* (* (/ y x) 0) 2) (* (/ y x) 0) (/ y x) 0 2 (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (pow (sin (+ (* (/ x y) 1/2) (/ (PI) 2))) -1) (sin (+ (* (/ x y) 1/2) (/ (PI) 2))) (+ (* (/ x y) 1/2) (/ (PI) 2)) (/ (PI) 2) (/ (tan (+ (/ (/ x y) 2) (PI))) (sin (/ x (* y 2)))) (tan (+ (/ (/ x y) 2) (PI))) (+ (/ (/ x y) 2) (PI)) (/ (+ (* (PI) y) (* 1/2 x)) y) (+ (* (PI) y) (* 1/2 x)) (* 1/2 x) (sin (/ x (* y 2))) (/ x (* y 2)) (* y 2) (/ (/ (neg (sin (/ (/ x y) 2))) (cos (+ (/ (/ x y) 2) (PI)))) (sin (/ x (* y 2)))) (/ (neg (sin (/ (/ x y) 2))) (cos (+ (/ (/ x y) 2) (PI)))) (neg (sin (/ (/ x y) 2))) (sin (/ (/ x y) 2)) (/ (/ x y) 2) (cos (+ (/ (/ x y) 2) (PI))) (+ (/ (/ x y) 2) (PI)))
10.0ms	y	@	inf	((/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/ -1 (cos (+ (* (/ x y) 1/2) (PI)))) -1 (cos (+ (* (/ x y) 1/2) (PI))) (+ (* (/ x y) 1/2) (PI)) (/ x y) x y 1/2 (PI) (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (* (* (/ y x) 0) 2) (* (/ y x) 0) (/ y x) 0 2 (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (pow (sin (+ (* (/ x y) 1/2) (/ (PI) 2))) -1) (sin (+ (* (/ x y) 1/2) (/ (PI) 2))) (+ (* (/ x y) 1/2) (/ (PI) 2)) (/ (PI) 2) (/ (tan (+ (/ (/ x y) 2) (PI))) (sin (/ x (* y 2)))) (tan (+ (/ (/ x y) 2) (PI))) (+ (/ (/ x y) 2) (PI)) (/ (+ (* (PI) y) (* 1/2 x)) y) (+ (* (PI) y) (* 1/2 x)) (* 1/2 x) (sin (/ x (* y 2))) (/ x (* y 2)) (* y 2) (/ (/ (neg (sin (/ (/ x y) 2))) (cos (+ (/ (/ x y) 2) (PI)))) (sin (/ x (* y 2)))) (/ (neg (sin (/ (/ x y) 2))) (cos (+ (/ (/ x y) 2) (PI)))) (neg (sin (/ (/ x y) 2))) (sin (/ (/ x y) 2)) (/ (/ x y) 2) (cos (+ (/ (/ x y) 2) (PI))) (+ (/ (/ x y) 2) (PI)))
9.0ms	y	@	-inf	((/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/ -1 (cos (+ (* (/ x y) 1/2) (PI)))) -1 (cos (+ (* (/ x y) 1/2) (PI))) (+ (* (/ x y) 1/2) (PI)) (/ x y) x y 1/2 (PI) (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (* (* (/ y x) 0) 2) (* (/ y x) 0) (/ y x) 0 2 (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (pow (sin (+ (* (/ x y) 1/2) (/ (PI) 2))) -1) (sin (+ (* (/ x y) 1/2) (/ (PI) 2))) (+ (* (/ x y) 1/2) (/ (PI) 2)) (/ (PI) 2) (/ (tan (+ (/ (/ x y) 2) (PI))) (sin (/ x (* y 2)))) (tan (+ (/ (/ x y) 2) (PI))) (+ (/ (/ x y) 2) (PI)) (/ (+ (* (PI) y) (* 1/2 x)) y) (+ (* (PI) y) (* 1/2 x)) (* 1/2 x) (sin (/ x (* y 2))) (/ x (* y 2)) (* y 2) (/ (/ (neg (sin (/ (/ x y) 2))) (cos (+ (/ (/ x y) 2) (PI)))) (sin (/ x (* y 2)))) (/ (neg (sin (/ (/ x y) 2))) (cos (+ (/ (/ x y) 2) (PI)))) (neg (sin (/ (/ x y) 2))) (sin (/ (/ x y) 2)) (/ (/ x y) 2) (cos (+ (/ (/ x y) 2) (PI))) (+ (/ (/ x y) 2) (PI)))
8.0ms	x	@	0	((/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/ -1 (cos (+ (* (/ x y) 1/2) (PI)))) -1 (cos (+ (* (/ x y) 1/2) (PI))) (+ (* (/ x y) 1/2) (PI)) (/ x y) x y 1/2 (PI) (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (* (* (/ y x) 0) 2) (* (/ y x) 0) (/ y x) 0 2 (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (pow (sin (+ (* (/ x y) 1/2) (/ (PI) 2))) -1) (sin (+ (* (/ x y) 1/2) (/ (PI) 2))) (+ (* (/ x y) 1/2) (/ (PI) 2)) (/ (PI) 2) (/ (tan (+ (/ (/ x y) 2) (PI))) (sin (/ x (* y 2)))) (tan (+ (/ (/ x y) 2) (PI))) (+ (/ (/ x y) 2) (PI)) (/ (+ (* (PI) y) (* 1/2 x)) y) (+ (* (PI) y) (* 1/2 x)) (* 1/2 x) (sin (/ x (* y 2))) (/ x (* y 2)) (* y 2) (/ (/ (neg (sin (/ (/ x y) 2))) (cos (+ (/ (/ x y) 2) (PI)))) (sin (/ x (* y 2)))) (/ (neg (sin (/ (/ x y) 2))) (cos (+ (/ (/ x y) 2) (PI)))) (neg (sin (/ (/ x y) 2))) (sin (/ (/ x y) 2)) (/ (/ x y) 2) (cos (+ (/ (/ x y) 2) (PI))) (+ (/ (/ x y) 2) (PI)))
5.0ms	x	@	inf	((/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/ -1 (cos (+ (* (/ x y) 1/2) (PI)))) -1 (cos (+ (* (/ x y) 1/2) (PI))) (+ (* (/ x y) 1/2) (PI)) (/ x y) x y 1/2 (PI) (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (* (* (/ y x) 0) 2) (* (/ y x) 0) (/ y x) 0 2 (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (pow (sin (+ (* (/ x y) 1/2) (/ (PI) 2))) -1) (sin (+ (* (/ x y) 1/2) (/ (PI) 2))) (+ (* (/ x y) 1/2) (/ (PI) 2)) (/ (PI) 2) (/ (tan (+ (/ (/ x y) 2) (PI))) (sin (/ x (* y 2)))) (tan (+ (/ (/ x y) 2) (PI))) (+ (/ (/ x y) 2) (PI)) (/ (+ (* (PI) y) (* 1/2 x)) y) (+ (* (PI) y) (* 1/2 x)) (* 1/2 x) (sin (/ x (* y 2))) (/ x (* y 2)) (* y 2) (/ (/ (neg (sin (/ (/ x y) 2))) (cos (+ (/ (/ x y) 2) (PI)))) (sin (/ x (* y 2)))) (/ (neg (sin (/ (/ x y) 2))) (cos (+ (/ (/ x y) 2) (PI)))) (neg (sin (/ (/ x y) 2))) (sin (/ (/ x y) 2)) (/ (/ x y) 2) (cos (+ (/ (/ x y) 2) (PI))) (+ (/ (/ x y) 2) (PI)))

rewrite245.0ms (6.7%)

Memory

-9.9MiB live, 339.7MiB allocated; 83ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1207	9148
0	1255	7002
1	7821	7002
0	8029	6728

Stop Event

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

Counts

218 → 306

Calls

Call 1

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

Outputs
#s(approx (/ (tan (+ (/ (/ x y) 2) (PI))) (sin (/ x (* y 2)))) (pow.f64 (cos.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64))) #s(literal -1 binary64)))
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(/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64))))
(/.f64 #s(literal -1 binary64) (cos.f64 (fma.f64 (/.f64 x y) #s(literal 1/2 binary64) (PI.f64))))
(exp.f64 (.f64 (log.f64 (cos.f64 (.f64 (/.f64 x y) #s(literal 1/2 binary64)))) #s(literal -1 binary64)))
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#s(literal -1 binary64)
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(sin.f64 (+.f64 (fma.f64 (/.f64 x y) #s(literal 1/2 binary64) (PI.f64)) (/.f64 (PI.f64) #s(literal 2 binary64))))
(-.f64 (.f64 #s(literal -1 binary64) (cos.f64 (.f64 (/.f64 x y) #s(literal 1/2 binary64)))) (.f64 #s(literal 0 binary64) (sin.f64 (.f64 (/.f64 x y) #s(literal 1/2 binary64)))))
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(/.f64 (neg.f64 x) (neg.f64 y))
(/.f64 x y)
x
y
#s(literal 1/2 binary64)
(PI.f64)
#s(approx (/ (tan (+ (/ (/ x y) 2) (PI))) (sin (/ x (* y 2)))) #s(literal 0 binary64))
#s(literal 0 binary64)
#s(literal 0 binary64)
(/.f64 (neg.f64 y) (neg.f64 x))
(/.f64 y x)
#s(literal 0 binary64)
#s(literal 2 binary64)
#s(approx (/ (tan (+ (/ (/ x y) 2) (PI))) (sin (/ x (* y 2)))) (pow.f64 (cos.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64))) #s(literal -1 binary64)))
(.f64 (pow.f64 (cos.f64 (.f64 (/.f64 x y) #s(literal 1/2 binary64))) #s(literal -1/2 binary64)) (pow.f64 (cos.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64))) #s(literal -1/2 binary64)))
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#s(approx (tan (+ (/ (/ x y) 2) (PI))) (neg.f64 (/.f64 (fma.f64 (.f64 (/.f64 (.f64 x x) y) #s(literal 0 binary64)) #s(literal 1/4 binary64) (*.f64 (/.f64 x #s(literal -1 binary64)) #s(literal 1/2 binary64))) y)))
#s(approx (tan (+ (/ (/ x y) 2) (PI))) (neg.f64 (/.f64 (fma.f64 (/.f64 x #s(literal -1 binary64)) #s(literal 1/2 binary64) (neg.f64 (/.f64 (-.f64 (fma.f64 (/.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) y) #s(literal -1 binary64)) #s(literal 1/48 binary64) (.f64 (.f64 #s(literal 0 binary64) (.f64 x x)) #s(literal -1/4 binary64))) (fma.f64 (/.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) y) #s(literal -1 binary64)) #s(literal 1/16 binary64) (.f64 (*.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) y) #s(literal 0 binary64)) #s(literal 1/8 binary64)))) y))) y)))
#s(approx (tan (+ (/ (/ x y) 2) (PI))) (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 (fma.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 (.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1 binary64)) #s(literal 1/48 binary64)) (fma.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1 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) #s(literal -1 binary64) (neg.f64 (-.f64 (.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1 binary64)) #s(literal 1/48 binary64)) (fma.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1 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 y) 2))) (neg.f64 (/.f64 (fma.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (.f64 y y)) #s(literal -1/48 binary64) (.f64 #s(literal 1/2 binary64) x)) y)))
#s(approx (neg (sin (/ (/ x y) 2))) (neg.f64 (/.f64 (-.f64 (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)) (/.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/48 binary64)) (*.f64 y y))) y)))
#s(approx (neg (sin (/ (/ x y) 2))) (neg.f64 (/.f64 (-.f64 (/.f64 (.f64 (pow.f64 x #s(literal 7 binary64)) #s(literal -1/645120 binary64)) (pow.f64 y #s(literal 6 binary64))) (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)) (neg.f64 (/.f64 (fma.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (.f64 y y)) #s(literal 1/48 binary64) (.f64 #s(literal -1/2 binary64) x)) y)))
#s(approx (sin (/ (/ x y) 2)) (neg.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) x (fma.f64 (/.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)) (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))) (fma.f64 (/.f64 (fma.f64 (/.f64 (.f64 (.f64 x x) #s(literal -1 binary64)) y) #s(literal 1/8 binary64) (.f64 (.f64 #s(literal 0 binary64) x) #s(literal 1/2 binary64))) y) #s(literal -1 binary64) #s(literal -1 binary64)))
#s(approx (cos (+ (/ (/ x y) 2) (PI))) (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 (.f64 x x) #s(literal -1 binary64)) #s(literal -1/8 binary64))) y) #s(literal -1 binary64) (.f64 (.f64 #s(literal 0 binary64) x) #s(literal 1/2 binary64))) y) #s(literal -1 binary64) #s(literal -1 binary64)))

eval46.0ms (1.3%)

Memory: 41.3MiB live, 131.8MiB allocated; 12ms collecting garbage
Compiler: Compiled 12 938 to 1 672 computations (87.1% saved)

prune37.0ms (1%)

Memory

-2.0MiB live, 95.0MiB allocated; 17ms collecting garbage

Pruning

30 alts after pruning (28 fresh and 2 done)

	Pruned	Kept	Total
New	317	18	335
Fresh	1	10	11
Picked	4	1	5
Done	0	1	1
Total	322	30	352

Accuracy

61.5%

Counts

352 → 30

Alt Table

Click to see full alt table

Status	Accuracy	Program
	5.8%	(/.f64 (/.f64 (+.f64 (tan.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64))) (tan.f64 (PI.f64))) (-.f64 #s(literal 1 binary64) (.f64 (tan.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64))) (tan.f64 (PI.f64))))) (sin.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))))
	42.3%	(/.f64 (/.f64 (sin.f64 (/.f64 x y)) (+.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x y)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
	3.2%	(/.f64 (tan.f64 (/.f64 (+.f64 (pow.f64 (/.f64 x (.f64 #s(literal 2 binary64) y)) #s(literal 3 binary64)) (pow.f64 (PI.f64) #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 x (.f64 #s(literal 2 binary64) y)) #s(literal 2 binary64)) (-.f64 (.f64 (PI.f64) (PI.f64)) (.f64 (/.f64 x (.f64 #s(literal 2 binary64) y)) (PI.f64)))))) (sin.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))))
	42.3%	(/.f64 (tan.f64 (/.f64 x (+.f64 y y))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
	5.6%	(/.f64 (tan.f64 (+.f64 #s(approx (+ (/ (/ x y) 2) (PI)) (/.f64 (fma.f64 (PI.f64) y (.f64 #s(literal 1/2 binary64) x)) y)) (PI.f64))) (sin.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))))
	5.7%	(/.f64 (tan.f64 #s(approx (+ (/ (/ x y) 2) (PI)) (fma.f64 (/.f64 x y) #s(literal 1/2 binary64) (PI.f64)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
	1.8%	(/.f64 (tan.f64 #s(approx (+ (/ (/ x y) 2) (PI)) (/.f64 (/.f64 (+.f64 (pow.f64 (.f64 (PI.f64) y) #s(literal 3 binary64)) (pow.f64 (.f64 #s(literal 1/2 binary64) x) #s(literal 3 binary64))) (fma.f64 (.f64 (PI.f64) y) (.f64 (PI.f64) y) (-.f64 (.f64 (.f64 #s(literal 1/2 binary64) x) (.f64 #s(literal 1/2 binary64) x)) (.f64 (.f64 (PI.f64) y) (.f64 #s(literal 1/2 binary64) x))))) y))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
	5.7%	(/.f64 (tan.f64 #s(approx (+ (/ (/ x y) 2) (PI)) (.f64 (+.f64 (/.f64 (PI.f64) x) (/.f64 #s(literal 1/2 binary64) y)) x))) (sin.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))))
	42.5%	(/.f64 #s(approx (tan (+ (/ (/ x y) 2) (PI))) (/.f64 (neg.f64 (sin.f64 (.f64 (/.f64 x y) #s(literal 1/2 binary64)))) (cos.f64 (fma.f64 (/.f64 x y) #s(literal 1/2 binary64) (PI.f64))))) (sin.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))))
▶	52.9%	#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (pow.f64 (pow.f64 (cos.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64))) #s(literal -1/2 binary64)) #s(literal 2 binary64)))
	52.9%	#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (pow.f64 (sin.f64 (/.f64 (+.f64 (pow.f64 (.f64 (/.f64 x y) #s(literal 1/2 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 1/2 binary64)) (.f64 (/.f64 x y) #s(literal 1/2 binary64)) (-.f64 (.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64))) (.f64 (.f64 (/.f64 x y) #s(literal 1/2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64))))))) #s(literal -1 binary64)))
▶	55.3%	#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (pow.f64 (sin.f64 (+.f64 (neg.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64))) (/.f64 (PI.f64) #s(literal 2 binary64)))) #s(literal -1 binary64)))
	55.0%	#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (pow.f64 (sin.f64 #s(approx (+ (* (/ x y) 1/2) (/ (PI) 2)) (*.f64 (fma.f64 (/.f64 (PI.f64) x) #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) y)) x))) #s(literal -1 binary64)))
	6.1%	#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (pow.f64 (sin.f64 #s(approx (+ (* (/ x y) 1/2) (/ (PI) 2)) (*.f64 (/.f64 x y) #s(literal 1/2 binary64)))) #s(literal -1 binary64)))
	55.1%	#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (pow.f64 (sin.f64 #s(approx (+ (* (/ x y) 1/2) (/ (PI) 2)) (*.f64 #s(literal 1/2 binary64) (+.f64 (PI.f64) (/.f64 x y))))) #s(literal -1 binary64)))
	44.2%	#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 (.f64 #s(literal 2 binary64) (fma.f64 (.f64 y x) (-.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal 0 binary64) (.f64 #s(literal 1 binary64) y))) (.f64 #s(literal 0 binary64) y))) x))
	55.2%	#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64)))))
	55.3%	#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal -1 binary64) (sin.f64 (+.f64 (fma.f64 (/.f64 x y) #s(literal 1/2 binary64) (PI.f64)) (/.f64 (PI.f64) #s(literal 2 binary64))))))
✓	55.4%	#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal -1 binary64) (cos.f64 (fma.f64 (/.f64 x y) #s(literal 1/2 binary64) (PI.f64)))))
	53.2%	#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal -1 binary64) (cos.f64 (/.f64 (-.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) (pow.f64 (.f64 #s(literal -1/2 binary64) (/.f64 x y)) #s(literal 3 binary64))) (fma.f64 (PI.f64) (PI.f64) (fma.f64 (.f64 #s(literal -1/2 binary64) (/.f64 x y)) (.f64 #s(literal -1/2 binary64) (/.f64 x y)) (.f64 (PI.f64) (*.f64 #s(literal -1/2 binary64) (/.f64 x y)))))))))
▶	55.4%	#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal -1 binary64) (cos.f64 #s(approx (+ (* (/ x y) 1/2) (PI)) (/.f64 (fma.f64 (PI.f64) y (*.f64 #s(literal 1/2 binary64) x)) y)))))
▶	4.6%	#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal -1 binary64) (cos.f64 #s(approx (+ (* (/ x y) 1/2) (PI)) (*.f64 (/.f64 x y) #s(literal 1/2 binary64))))))
	55.2%	#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal -1 binary64) (cos.f64 #s(approx (+ (* (/ x y) 1/2) (PI)) (*.f64 (+.f64 (/.f64 (PI.f64) x) (/.f64 #s(literal 1/2 binary64) y)) x)))))
	49.5%	#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal -1 binary64) #s(approx (cos (+ (* (/ x y) 1/2) (PI))) (fma.f64 (/.f64 (fma.f64 (/.f64 (.f64 (.f64 x x) #s(literal -1 binary64)) y) #s(literal 1/8 binary64) (.f64 (.f64 #s(literal 0 binary64) x) #s(literal 1/2 binary64))) y) #s(literal -1 binary64) #s(literal -1 binary64)))))
	49.8%	#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal -1 binary64) #s(approx (cos (+ (* (/ x y) 1/2) (PI))) (fma.f64 (-.f64 (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 #s(literal -1 binary64) x)) (*.f64 y y)) (/.f64 #s(literal 0 binary64) y)) x #s(literal -1 binary64)))))
	46.4%	#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal -1 binary64) #s(approx (cos (+ (* (/ x y) 1/2) (PI))) (-.f64 (fma.f64 (.f64 (.f64 x x) (/.f64 #s(literal -1 binary64) (.f64 y y))) #s(literal -1/8 binary64) #s(literal -1 binary64)) (.f64 (/.f64 (*.f64 #s(literal 0 binary64) x) y) #s(literal 1/2 binary64))))))
	52.1%	#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(approx (pow (sin (+ (* (/ x y) 1/2) (/ (PI) 2))) -1) (fma.f64 (.f64 (/.f64 x y) (/.f64 (cos.f64 (.f64 (PI.f64) #s(literal 1/2 binary64))) (pow.f64 (sin.f64 (.f64 (PI.f64) #s(literal 1/2 binary64))) #s(literal 2 binary64)))) #s(literal -1/2 binary64) (pow.f64 (sin.f64 (.f64 (PI.f64) #s(literal 1/2 binary64))) #s(literal -1 binary64)))))
▶	3.1%	#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(approx (* (* (/ y x) 0) 2) #s(literal 0 binary64)))
✓	56.8%	#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(literal 1 binary64))
	44.2%	#s(approx (/ (tan (+ (/ (/ x y) 2) (PI))) (sin (/ x (* y 2)))) (+.f64 #s(literal 0 binary64) (.f64 y (.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) x (.f64 (.f64 #s(literal 0 binary64) x) #s(literal 1/2 binary64))) (*.f64 y x)) #s(literal 2 binary64)))))

Compiler

Compiled 1 906 to 1 248 computations (34.5% saved)

series31.0ms (0.8%)

Memory

-5.3MiB live, 87.6MiB allocated; 8ms collecting garbage

Counts

33 → 104

Calls

Call 1

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

Outputs
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(hole binary64 1))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(hole binary64 (+ 1 (* 1/8 (/ (pow x 2) (pow y 2))))))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(hole binary64 (+ 1 (* (pow x 2) (+ (* 5/384 (/ (pow x 2) (pow y 4))) (* 1/8 (/ 1 (pow y 2))))))))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(hole binary64 (+ 1 (* (pow x 2) (+ (* (pow x 2) (+ (* 61/46080 (/ (pow x 2) (pow y 6))) (* 5/384 (/ 1 (pow y 4))))) (* 1/8 (/ 1 (pow y 2))))))))
#s(approx (/ -1 (cos (+ (* (/ x y) 1/2) (PI)))) #s(hole binary64 (/ -1 (cos (PI)))))
#s(approx (/ -1 (cos (+ (* (/ x y) 1/2) (PI)))) #s(hole binary64 (- (* -1/2 (/ (* x (sin (PI))) (* y (pow (cos (PI)) 2)))) (/ 1 (cos (PI))))))
#s(approx (/ -1 (cos (+ (* (/ x y) 1/2) (PI)))) #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 (/ -1 (cos (+ (* (/ x y) 1/2) (PI)))) #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 (cos (+ (* (/ x y) 1/2) (PI))) #s(hole binary64 (cos (PI))))
#s(approx (cos (+ (* (/ x y) 1/2) (PI))) #s(hole binary64 (+ (cos (PI)) (* -1/2 (/ (* x (sin (PI))) y)))))
#s(approx (cos (+ (* (/ x y) 1/2) (PI))) #s(hole binary64 (+ (cos (PI)) (* x (- (* -1/8 (/ (* x (cos (PI))) (pow y 2))) (* 1/2 (/ (sin (PI)) y)))))))
#s(approx (cos (+ (* (/ x y) 1/2) (PI))) #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 (+ (* (/ x y) 1/2) (PI)) #s(hole binary64 (PI)))
#s(approx (+ (* (/ x y) 1/2) (PI)) #s(hole binary64 (+ (PI) (* 1/2 (/ x y)))))
#s(approx (/ (+ (* (PI) y) (* 1/2 x)) y) #s(hole binary64 (PI)))
#s(approx (/ (+ (* (PI) y) (* 1/2 x)) y) #s(hole binary64 (+ (PI) (* 1/2 (/ x y)))))
#s(approx (+ (* (PI) y) (* 1/2 x)) #s(hole binary64 (* y (PI))))
#s(approx (+ (* (PI) y) (* 1/2 x)) #s(hole binary64 (+ (* 1/2 x) (* y (PI)))))
#s(approx (* 1/2 x) #s(hole binary64 (* 1/2 x)))
#s(approx x #s(hole binary64 x))
#s(approx (* (* (/ y x) 0) 2) #s(hole binary64 0))
#s(approx (* (/ x y) 1/2) #s(hole binary64 (* 1/2 (/ x y))))
#s(approx (/ x y) #s(hole binary64 (/ x y)))
#s(approx (pow (sin (+ (neg (* (/ x y) 1/2)) (/ (PI) 2))) -1) #s(hole binary64 (/ 1 (sin (* 1/2 (PI))))))
#s(approx (pow (sin (+ (neg (* (/ x y) 1/2)) (/ (PI) 2))) -1) #s(hole binary64 (+ (* 1/2 (/ (* x (cos (* 1/2 (PI)))) (* y (pow (sin (* 1/2 (PI))) 2)))) (/ 1 (sin (* 1/2 (PI)))))))
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#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(hole binary64 (/ 1 (cos (* 1/2 (/ x y))))))
#s(approx (/ -1 (cos (+ (* (/ x y) 1/2) (PI)))) #s(hole binary64 (/ -1 (cos (+ (PI) (* 1/2 (/ x y)))))))
#s(approx (cos (+ (* (/ x y) 1/2) (PI))) #s(hole binary64 (cos (+ (PI) (* 1/2 (/ x y))))))
#s(approx (+ (* (/ x y) 1/2) (PI)) #s(hole binary64 (* 1/2 (/ x y))))
#s(approx (+ (* (/ x y) 1/2) (PI)) #s(hole binary64 (* x (+ (* 1/2 (/ 1 y)) (/ (PI) x)))))
#s(approx (/ (+ (* (PI) y) (* 1/2 x)) y) #s(hole binary64 (* 1/2 (/ x y))))
#s(approx (/ (+ (* (PI) y) (* 1/2 x)) y) #s(hole binary64 (* x (+ (* 1/2 (/ 1 y)) (/ (PI) x)))))
#s(approx (+ (* (PI) y) (* 1/2 x)) #s(hole binary64 (* 1/2 x)))
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#s(approx (pow (sin (+ (neg (* (/ x y) 1/2)) (/ (PI) 2))) -1) #s(hole binary64 (/ 1 (sin (- (* 1/2 (PI)) (* 1/2 (/ x y)))))))
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#s(approx (+ (neg (* (/ x y) 1/2)) (/ (PI) 2)) #s(hole binary64 (* -1/2 (/ x y))))
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#s(approx (pow (pow (cos (* (/ x y) 1/2)) -1/2) 2) #s(hole binary64 (/ 1 (cos (* 1/2 (/ x y))))))
#s(approx (pow (cos (* (/ x y) 1/2)) -1/2) #s(hole binary64 (sqrt (/ 1 (cos (* 1/2 (/ x y)))))))
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#s(approx (/ -1 (cos (+ (* (/ x y) 1/2) (PI)))) #s(hole binary64 (/ -1 (cos (- (PI) (* -1/2 (/ x y)))))))
#s(approx (cos (+ (* (/ x y) 1/2) (PI))) #s(hole binary64 (cos (- (PI) (* -1/2 (/ x y))))))
#s(approx (+ (* (/ x y) 1/2) (PI)) #s(hole binary64 (* -1 (* x (- (* -1 (/ (PI) x)) (* 1/2 (/ 1 y)))))))
#s(approx (/ (+ (* (PI) y) (* 1/2 x)) y) #s(hole binary64 (* -1 (* x (- (* -1 (/ (PI) x)) (* 1/2 (/ 1 y)))))))
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#s(approx (pow (sin (+ (neg (* (/ x y) 1/2)) (/ (PI) 2))) -1) #s(hole binary64 (/ 1 (sin (+ (* -1/2 (/ x y)) (* 1/2 (PI)))))))
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#s(approx (+ (* (/ x y) 1/2) (PI)) #s(hole binary64 (/ (+ (* 1/2 x) (* y (PI))) y)))
#s(approx (/ (+ (* (PI) y) (* 1/2 x)) y) #s(hole binary64 (/ (+ (* 1/2 x) (* y (PI))) y)))
#s(approx y #s(hole binary64 y))
#s(approx (+ (neg (* (/ x y) 1/2)) (/ (PI) 2)) #s(hole binary64 (/ (- (* 1/2 (* y (PI))) (* 1/2 x)) y)))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(hole binary64 (- (+ 1 (* 2 (/ (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3))) (* x (pow y 2))))) (* -1/24 (/ (pow x 2) (pow y 2))))))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(hole binary64 (- (+ 1 (+ (* 2 (/ (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3))) (* x (pow y 2)))) (* 2 (/ (- (* 1/3840 (pow x 5)) (+ (* -1/8 (* (pow x 2) (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3))))) (* 1/768 (pow x 5)))) (* x (pow y 4)))))) (+ (* -1/24 (/ (* (pow x 2) (- (* 2 (/ (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3))) x)) (* -1/24 (pow x 2)))) (pow y 4))) (+ (* -1/24 (/ (pow x 2) (pow y 2))) (* 1/1920 (/ (pow x 4) (pow y 4))))))))
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#s(approx (/ -1 (cos (+ (* (/ x y) 1/2) (PI)))) #s(hole binary64 (- (* -1 (/ (+ (* 1/8 (/ (pow x 2) (cos (PI)))) (* 1/4 (/ (* (pow x 2) (pow (sin (PI)) 2)) (pow (cos (PI)) 3)))) (pow y 2))) (+ (* 1/2 (/ (* x (sin (PI))) (* y (pow (cos (PI)) 2)))) (/ 1 (cos (PI)))))))
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#s(approx (+ (* (PI) y) (* 1/2 x)) #s(hole binary64 (* y (+ (PI) (* 1/2 (/ x y))))))
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#s(approx (pow (pow (cos (* (/ x y) 1/2)) -1/2) 2) #s(hole binary64 (- (+ 1 (* -1 (/ (+ (* -1/46080 (pow x 6)) (+ (* 1/3072 (pow x 6)) (* 1/8 (* (pow x 2) (+ (* -1/64 (pow x 4)) (* 1/384 (pow x 4))))))) (pow y 6)))) (+ (* -1/8 (/ (pow x 2) (pow y 2))) (+ (* -1/64 (/ (pow x 4) (pow y 4))) (* 1/384 (/ (pow x 4) (pow y 4))))))))
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Calls

6 calls:

Time	Variable		Point	Expression
7.0ms	y	@	inf	((/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/ -1 (cos (+ (* (/ x y) 1/2) (PI)))) -1 (cos (+ (* (/ x y) 1/2) (PI))) (+ (* (/ x y) 1/2) (PI)) (/ (+ (* (PI) y) (* 1/2 x)) y) (+ (* (PI) y) (* 1/2 x)) (PI) y (* 1/2 x) 1/2 x (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (* (* (/ y x) 0) 2) 0 (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/ -1 (cos (+ (* (/ x y) 1/2) (PI)))) (cos (+ (* (/ x y) 1/2) (PI))) (+ (* (/ x y) 1/2) (PI)) (* (/ x y) 1/2) (/ x y) (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (pow (sin (+ (neg (* (/ x y) 1/2)) (/ (PI) 2))) -1) (sin (+ (neg (* (/ x y) 1/2)) (/ (PI) 2))) (+ (neg (* (/ x y) 1/2)) (/ (PI) 2)) (neg (* (/ x y) 1/2)) (/ (PI) 2) 2 (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (pow (pow (cos (* (/ x y) 1/2)) -1/2) 2) (pow (cos (* (/ x y) 1/2)) -1/2) (cos (* (/ x y) 1/2)) -1/2)
6.0ms	x	@	0	((/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/ -1 (cos (+ (* (/ x y) 1/2) (PI)))) -1 (cos (+ (* (/ x y) 1/2) (PI))) (+ (* (/ x y) 1/2) (PI)) (/ (+ (* (PI) y) (* 1/2 x)) y) (+ (* (PI) y) (* 1/2 x)) (PI) y (* 1/2 x) 1/2 x (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (* (* (/ y x) 0) 2) 0 (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/ -1 (cos (+ (* (/ x y) 1/2) (PI)))) (cos (+ (* (/ x y) 1/2) (PI))) (+ (* (/ x y) 1/2) (PI)) (* (/ x y) 1/2) (/ x y) (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (pow (sin (+ (neg (* (/ x y) 1/2)) (/ (PI) 2))) -1) (sin (+ (neg (* (/ x y) 1/2)) (/ (PI) 2))) (+ (neg (* (/ x y) 1/2)) (/ (PI) 2)) (neg (* (/ x y) 1/2)) (/ (PI) 2) 2 (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (pow (pow (cos (* (/ x y) 1/2)) -1/2) 2) (pow (cos (* (/ x y) 1/2)) -1/2) (cos (* (/ x y) 1/2)) -1/2)
4.0ms	x	@	-inf	((/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/ -1 (cos (+ (* (/ x y) 1/2) (PI)))) -1 (cos (+ (* (/ x y) 1/2) (PI))) (+ (* (/ x y) 1/2) (PI)) (/ (+ (* (PI) y) (* 1/2 x)) y) (+ (* (PI) y) (* 1/2 x)) (PI) y (* 1/2 x) 1/2 x (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (* (* (/ y x) 0) 2) 0 (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/ -1 (cos (+ (* (/ x y) 1/2) (PI)))) (cos (+ (* (/ x y) 1/2) (PI))) (+ (* (/ x y) 1/2) (PI)) (* (/ x y) 1/2) (/ x y) (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (pow (sin (+ (neg (* (/ x y) 1/2)) (/ (PI) 2))) -1) (sin (+ (neg (* (/ x y) 1/2)) (/ (PI) 2))) (+ (neg (* (/ x y) 1/2)) (/ (PI) 2)) (neg (* (/ x y) 1/2)) (/ (PI) 2) 2 (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (pow (pow (cos (* (/ x y) 1/2)) -1/2) 2) (pow (cos (* (/ x y) 1/2)) -1/2) (cos (* (/ x y) 1/2)) -1/2)
4.0ms	y	@	-inf	((/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/ -1 (cos (+ (* (/ x y) 1/2) (PI)))) -1 (cos (+ (* (/ x y) 1/2) (PI))) (+ (* (/ x y) 1/2) (PI)) (/ (+ (* (PI) y) (* 1/2 x)) y) (+ (* (PI) y) (* 1/2 x)) (PI) y (* 1/2 x) 1/2 x (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (* (* (/ y x) 0) 2) 0 (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/ -1 (cos (+ (* (/ x y) 1/2) (PI)))) (cos (+ (* (/ x y) 1/2) (PI))) (+ (* (/ x y) 1/2) (PI)) (* (/ x y) 1/2) (/ x y) (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (pow (sin (+ (neg (* (/ x y) 1/2)) (/ (PI) 2))) -1) (sin (+ (neg (* (/ x y) 1/2)) (/ (PI) 2))) (+ (neg (* (/ x y) 1/2)) (/ (PI) 2)) (neg (* (/ x y) 1/2)) (/ (PI) 2) 2 (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (pow (pow (cos (* (/ x y) 1/2)) -1/2) 2) (pow (cos (* (/ x y) 1/2)) -1/2) (cos (* (/ x y) 1/2)) -1/2)
4.0ms	x	@	inf	((/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/ -1 (cos (+ (* (/ x y) 1/2) (PI)))) -1 (cos (+ (* (/ x y) 1/2) (PI))) (+ (* (/ x y) 1/2) (PI)) (/ (+ (* (PI) y) (* 1/2 x)) y) (+ (* (PI) y) (* 1/2 x)) (PI) y (* 1/2 x) 1/2 x (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (* (* (/ y x) 0) 2) 0 (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/ -1 (cos (+ (* (/ x y) 1/2) (PI)))) (cos (+ (* (/ x y) 1/2) (PI))) (+ (* (/ x y) 1/2) (PI)) (* (/ x y) 1/2) (/ x y) (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (pow (sin (+ (neg (* (/ x y) 1/2)) (/ (PI) 2))) -1) (sin (+ (neg (* (/ x y) 1/2)) (/ (PI) 2))) (+ (neg (* (/ x y) 1/2)) (/ (PI) 2)) (neg (* (/ x y) 1/2)) (/ (PI) 2) 2 (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (pow (pow (cos (* (/ x y) 1/2)) -1/2) 2) (pow (cos (* (/ x y) 1/2)) -1/2) (cos (* (/ x y) 1/2)) -1/2)

rewrite207.0ms (5.6%)

Memory

-19.4MiB live, 463.1MiB allocated; 47ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	763	4791
0	791	4021
1	4893	4020
0	8053	3857

Stop Event

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

Counts

137 → 262

Calls

Call 1

Inputs
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal -1 binary64) (cos.f64 #s(approx (+ (* (/ x y) 1/2) (PI)) (/.f64 (fma.f64 (PI.f64) y (*.f64 #s(literal 1/2 binary64) x)) y)))))
(/.f64 #s(literal -1 binary64) (cos.f64 #s(approx (+ (* (/ x y) 1/2) (PI)) (/.f64 (fma.f64 (PI.f64) y (*.f64 #s(literal 1/2 binary64) x)) y))))
#s(literal -1 binary64)
(cos.f64 #s(approx (+ (* (/ x y) 1/2) (PI)) (/.f64 (fma.f64 (PI.f64) y (*.f64 #s(literal 1/2 binary64) x)) y)))
#s(approx (+ (* (/ x y) 1/2) (PI)) (/.f64 (fma.f64 (PI.f64) y (*.f64 #s(literal 1/2 binary64) x)) y))
(/.f64 (fma.f64 (PI.f64) y (*.f64 #s(literal 1/2 binary64) x)) y)
(fma.f64 (PI.f64) y (*.f64 #s(literal 1/2 binary64) x))
(PI.f64)
y
(*.f64 #s(literal 1/2 binary64) x)
#s(literal 1/2 binary64)
x
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(approx (* (* (/ y x) 0) 2) #s(literal 0 binary64)))
#s(approx (* (* (/ y x) 0) 2) #s(literal 0 binary64))
#s(literal 0 binary64)
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal -1 binary64) (cos.f64 #s(approx (+ (* (/ x y) 1/2) (PI)) (*.f64 (/.f64 x y) #s(literal 1/2 binary64))))))
(/.f64 #s(literal -1 binary64) (cos.f64 #s(approx (+ (* (/ x y) 1/2) (PI)) (*.f64 (/.f64 x y) #s(literal 1/2 binary64)))))
(cos.f64 #s(approx (+ (* (/ x y) 1/2) (PI)) (*.f64 (/.f64 x y) #s(literal 1/2 binary64))))
#s(approx (+ (* (/ x y) 1/2) (PI)) (*.f64 (/.f64 x y) #s(literal 1/2 binary64)))
(*.f64 (/.f64 x y) #s(literal 1/2 binary64))
(/.f64 x y)
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (pow.f64 (sin.f64 (+.f64 (neg.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64))) (/.f64 (PI.f64) #s(literal 2 binary64)))) #s(literal -1 binary64)))
(pow.f64 (sin.f64 (+.f64 (neg.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64))) (/.f64 (PI.f64) #s(literal 2 binary64)))) #s(literal -1 binary64))
(sin.f64 (+.f64 (neg.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64))) (/.f64 (PI.f64) #s(literal 2 binary64))))
(+.f64 (neg.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64))) (/.f64 (PI.f64) #s(literal 2 binary64)))
(neg.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64)))
(/.f64 (PI.f64) #s(literal 2 binary64))
#s(literal 2 binary64)
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (pow.f64 (pow.f64 (cos.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64))) #s(literal -1/2 binary64)) #s(literal 2 binary64)))
(pow.f64 (pow.f64 (cos.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64))) #s(literal -1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (cos.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64))) #s(literal -1/2 binary64))
(cos.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64)))
#s(literal -1/2 binary64)
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(hole binary64 1))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(hole binary64 (+ 1 (* 1/8 (/ (pow x 2) (pow y 2))))))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(hole binary64 (+ 1 (* (pow x 2) (+ (* 5/384 (/ (pow x 2) (pow y 4))) (* 1/8 (/ 1 (pow y 2))))))))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(hole binary64 (+ 1 (* (pow x 2) (+ (* (pow x 2) (+ (* 61/46080 (/ (pow x 2) (pow y 6))) (* 5/384 (/ 1 (pow y 4))))) (* 1/8 (/ 1 (pow y 2))))))))
#s(approx (/ -1 (cos (+ (* (/ x y) 1/2) (PI)))) #s(hole binary64 (/ -1 (cos (PI)))))
#s(approx (/ -1 (cos (+ (* (/ x y) 1/2) (PI)))) #s(hole binary64 (- (* -1/2 (/ (* x (sin (PI))) (* y (pow (cos (PI)) 2)))) (/ 1 (cos (PI))))))
#s(approx (/ -1 (cos (+ (* (/ x y) 1/2) (PI)))) #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 (/ -1 (cos (+ (* (/ x y) 1/2) (PI)))) #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 (cos (+ (* (/ x y) 1/2) (PI))) #s(hole binary64 (cos (PI))))
#s(approx (cos (+ (* (/ x y) 1/2) (PI))) #s(hole binary64 (+ (cos (PI)) (* -1/2 (/ (* x (sin (PI))) y)))))
#s(approx (cos (+ (* (/ x y) 1/2) (PI))) #s(hole binary64 (+ (cos (PI)) (* x (- (* -1/8 (/ (* x (cos (PI))) (pow y 2))) (* 1/2 (/ (sin (PI)) y)))))))
#s(approx (cos (+ (* (/ x y) 1/2) (PI))) #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 (+ (* (/ x y) 1/2) (PI)) #s(hole binary64 (PI)))
#s(approx (+ (* (/ x y) 1/2) (PI)) #s(hole binary64 (+ (PI) (* 1/2 (/ x y)))))
#s(approx (/ (+ (* (PI) y) (* 1/2 x)) y) #s(hole binary64 (PI)))
#s(approx (/ (+ (* (PI) y) (* 1/2 x)) y) #s(hole binary64 (+ (PI) (* 1/2 (/ x y)))))
#s(approx (+ (* (PI) y) (* 1/2 x)) #s(hole binary64 (* y (PI))))
#s(approx (+ (* (PI) y) (* 1/2 x)) #s(hole binary64 (+ (* 1/2 x) (* y (PI)))))
#s(approx (* 1/2 x) #s(hole binary64 (* 1/2 x)))
#s(approx x #s(hole binary64 x))
#s(approx (* (* (/ y x) 0) 2) #s(hole binary64 0))
#s(approx (* (/ x y) 1/2) #s(hole binary64 (* 1/2 (/ x y))))
#s(approx (/ x y) #s(hole binary64 (/ x y)))
#s(approx (pow (sin (+ (neg (* (/ x y) 1/2)) (/ (PI) 2))) -1) #s(hole binary64 (/ 1 (sin (* 1/2 (PI))))))
#s(approx (pow (sin (+ (neg (* (/ x y) 1/2)) (/ (PI) 2))) -1) #s(hole binary64 (+ (* 1/2 (/ (* x (cos (* 1/2 (PI)))) (* y (pow (sin (* 1/2 (PI))) 2)))) (/ 1 (sin (* 1/2 (PI)))))))
#s(approx (pow (sin (+ (neg (* (/ x y) 1/2)) (/ (PI) 2))) -1) #s(hole binary64 (+ (* x (- (* x (- (* 1/8 (/ 1 (* (pow y 2) (sin (* 1/2 (PI)))))) (* -1/4 (/ (pow (cos (* 1/2 (PI))) 2) (* (pow y 2) (pow (sin (* 1/2 (PI))) 3)))))) (* -1/2 (/ (cos (* 1/2 (PI))) (* y (pow (sin (* 1/2 (PI))) 2)))))) (/ 1 (sin (* 1/2 (PI)))))))
#s(approx (pow (sin (+ (neg (* (/ x y) 1/2)) (/ (PI) 2))) -1) #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 (+ (neg (* (/ x y) 1/2)) (/ (PI) 2))) #s(hole binary64 (sin (* 1/2 (PI)))))
#s(approx (sin (+ (neg (* (/ x y) 1/2)) (/ (PI) 2))) #s(hole binary64 (+ (sin (* 1/2 (PI))) (* -1/2 (/ (* x (cos (* 1/2 (PI)))) y)))))
#s(approx (sin (+ (neg (* (/ 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 (+ (neg (* (/ 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 (+ (neg (* (/ x y) 1/2)) (/ (PI) 2)) #s(hole binary64 (* 1/2 (PI))))
#s(approx (+ (neg (* (/ x y) 1/2)) (/ (PI) 2)) #s(hole binary64 (+ (* -1/2 (/ x y)) (* 1/2 (PI)))))
#s(approx (neg (* (/ x y) 1/2)) #s(hole binary64 (* -1/2 (/ x y))))
#s(approx (pow (pow (cos (* (/ x y) 1/2)) -1/2) 2) #s(hole binary64 1))
#s(approx (pow (pow (cos (* (/ x y) 1/2)) -1/2) 2) #s(hole binary64 (+ 1 (* 1/8 (/ (pow x 2) (pow y 2))))))
#s(approx (pow (pow (cos (* (/ x y) 1/2)) -1/2) 2) #s(hole binary64 (+ 1 (* (pow x 2) (+ (* 5/384 (/ (pow x 2) (pow y 4))) (* 1/8 (/ 1 (pow y 2))))))))
#s(approx (pow (pow (cos (* (/ x y) 1/2)) -1/2) 2) #s(hole binary64 (+ 1 (* (pow x 2) (+ (* (pow x 2) (+ (* 61/46080 (/ (pow x 2) (pow y 6))) (* 5/384 (/ 1 (pow y 4))))) (* 1/8 (/ 1 (pow y 2))))))))
#s(approx (pow (cos (* (/ x y) 1/2)) -1/2) #s(hole binary64 1))
#s(approx (pow (cos (* (/ x y) 1/2)) -1/2) #s(hole binary64 (+ 1 (* 1/16 (/ (pow x 2) (pow y 2))))))
#s(approx (pow (cos (* (/ x y) 1/2)) -1/2) #s(hole binary64 (+ 1 (* (pow x 2) (+ (* 7/1536 (/ (pow x 2) (pow y 4))) (* 1/16 (/ 1 (pow y 2))))))))
#s(approx (pow (cos (* (/ x y) 1/2)) -1/2) #s(hole binary64 (+ 1 (* (pow x 2) (+ (* (pow x 2) (+ (* 139/368640 (/ (pow x 2) (pow y 6))) (* 7/1536 (/ 1 (pow y 4))))) (* 1/16 (/ 1 (pow y 2))))))))
#s(approx (cos (* (/ x y) 1/2)) #s(hole binary64 1))
#s(approx (cos (* (/ x y) 1/2)) #s(hole binary64 (+ 1 (* -1/8 (/ (pow x 2) (pow y 2))))))
#s(approx (cos (* (/ x y) 1/2)) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 1/384 (/ (pow x 2) (pow y 4))) (* 1/8 (/ 1 (pow y 2))))))))
#s(approx (cos (* (/ x y) 1/2)) #s(hole binary64 (+ 1 (* (pow x 2) (- (* (pow x 2) (+ (* -1/46080 (/ (pow x 2) (pow y 6))) (* 1/384 (/ 1 (pow y 4))))) (* 1/8 (/ 1 (pow y 2))))))))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(hole binary64 (/ 1 (cos (* 1/2 (/ x y))))))
#s(approx (/ -1 (cos (+ (* (/ x y) 1/2) (PI)))) #s(hole binary64 (/ -1 (cos (+ (PI) (* 1/2 (/ x y)))))))
#s(approx (cos (+ (* (/ x y) 1/2) (PI))) #s(hole binary64 (cos (+ (PI) (* 1/2 (/ x y))))))
#s(approx (+ (* (/ x y) 1/2) (PI)) #s(hole binary64 (* 1/2 (/ x y))))
#s(approx (+ (* (/ x y) 1/2) (PI)) #s(hole binary64 (* x (+ (* 1/2 (/ 1 y)) (/ (PI) x)))))
#s(approx (/ (+ (* (PI) y) (* 1/2 x)) y) #s(hole binary64 (* 1/2 (/ x y))))
#s(approx (/ (+ (* (PI) y) (* 1/2 x)) y) #s(hole binary64 (* x (+ (* 1/2 (/ 1 y)) (/ (PI) x)))))
#s(approx (+ (* (PI) y) (* 1/2 x)) #s(hole binary64 (* 1/2 x)))
#s(approx (+ (* (PI) y) (* 1/2 x)) #s(hole binary64 (* x (+ 1/2 (/ (* y (PI)) x)))))
#s(approx (pow (sin (+ (neg (* (/ x y) 1/2)) (/ (PI) 2))) -1) #s(hole binary64 (/ 1 (sin (- (* 1/2 (PI)) (* 1/2 (/ x y)))))))
#s(approx (sin (+ (neg (* (/ x y) 1/2)) (/ (PI) 2))) #s(hole binary64 (sin (- (* 1/2 (PI)) (* 1/2 (/ x y))))))
#s(approx (+ (neg (* (/ x y) 1/2)) (/ (PI) 2)) #s(hole binary64 (* -1/2 (/ x y))))
#s(approx (+ (neg (* (/ x y) 1/2)) (/ (PI) 2)) #s(hole binary64 (* x (- (* 1/2 (/ (PI) x)) (* 1/2 (/ 1 y))))))
#s(approx (pow (pow (cos (* (/ x y) 1/2)) -1/2) 2) #s(hole binary64 (/ 1 (cos (* 1/2 (/ x y))))))
#s(approx (pow (cos (* (/ x y) 1/2)) -1/2) #s(hole binary64 (sqrt (/ 1 (cos (* 1/2 (/ x y)))))))
#s(approx (cos (* (/ x y) 1/2)) #s(hole binary64 (cos (* 1/2 (/ x y)))))
#s(approx (/ -1 (cos (+ (* (/ x y) 1/2) (PI)))) #s(hole binary64 (/ -1 (cos (- (PI) (* -1/2 (/ x y)))))))
#s(approx (cos (+ (* (/ x y) 1/2) (PI))) #s(hole binary64 (cos (- (PI) (* -1/2 (/ x y))))))
#s(approx (+ (* (/ x y) 1/2) (PI)) #s(hole binary64 (* -1 (* x (- (* -1 (/ (PI) x)) (* 1/2 (/ 1 y)))))))
#s(approx (/ (+ (* (PI) y) (* 1/2 x)) y) #s(hole binary64 (* -1 (* x (- (* -1 (/ (PI) x)) (* 1/2 (/ 1 y)))))))
#s(approx (+ (* (PI) y) (* 1/2 x)) #s(hole binary64 (* -1 (* x (- (* -1 (/ (* y (PI)) x)) 1/2)))))
#s(approx (pow (sin (+ (neg (* (/ x y) 1/2)) (/ (PI) 2))) -1) #s(hole binary64 (/ 1 (sin (+ (* -1/2 (/ x y)) (* 1/2 (PI)))))))
#s(approx (sin (+ (neg (* (/ x y) 1/2)) (/ (PI) 2))) #s(hole binary64 (sin (+ (* -1/2 (/ x y)) (* 1/2 (PI))))))
#s(approx (+ (neg (* (/ x y) 1/2)) (/ (PI) 2)) #s(hole binary64 (* -1 (* x (+ (* -1/2 (/ (PI) x)) (* 1/2 (/ 1 y)))))))
#s(approx (+ (* (/ x y) 1/2) (PI)) #s(hole binary64 (/ (+ (* 1/2 x) (* y (PI))) y)))
#s(approx (/ (+ (* (PI) y) (* 1/2 x)) y) #s(hole binary64 (/ (+ (* 1/2 x) (* y (PI))) y)))
#s(approx y #s(hole binary64 y))
#s(approx (+ (neg (* (/ x y) 1/2)) (/ (PI) 2)) #s(hole binary64 (/ (- (* 1/2 (* y (PI))) (* 1/2 x)) y)))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(hole binary64 (- (+ 1 (* 2 (/ (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3))) (* x (pow y 2))))) (* -1/24 (/ (pow x 2) (pow y 2))))))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(hole binary64 (- (+ 1 (+ (* 2 (/ (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3))) (* x (pow y 2)))) (* 2 (/ (- (* 1/3840 (pow x 5)) (+ (* -1/8 (* (pow x 2) (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3))))) (* 1/768 (pow x 5)))) (* x (pow y 4)))))) (+ (* -1/24 (/ (* (pow x 2) (- (* 2 (/ (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3))) x)) (* -1/24 (pow x 2)))) (pow y 4))) (+ (* -1/24 (/ (pow x 2) (pow y 2))) (* 1/1920 (/ (pow x 4) (pow y 4))))))))
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#s(approx (cos (+ (* (/ x y) 1/2) (PI))) #s(hole binary64 (- (+ (cos (PI)) (* -1/8 (/ (* (pow x 2) (cos (PI))) (pow y 2)))) (* 1/2 (/ (* x (sin (PI))) y)))))
#s(approx (cos (+ (* (/ x y) 1/2) (PI))) #s(hole binary64 (- (+ (cos (PI)) (+ (* -1/8 (/ (* (pow x 2) (cos (PI))) (pow y 2))) (* 1/48 (/ (* (pow x 3) (sin (PI))) (pow y 3))))) (* 1/2 (/ (* x (sin (PI))) y)))))
#s(approx (+ (* (PI) y) (* 1/2 x)) #s(hole binary64 (* y (+ (PI) (* 1/2 (/ x y))))))
#s(approx (pow (sin (+ (neg (* (/ x y) 1/2)) (/ (PI) 2))) -1) #s(hole binary64 (- (+ (* -1 (/ (+ (* -1/4 (/ (* (pow x 2) (pow (cos (* 1/2 (PI))) 2)) (pow (sin (* 1/2 (PI))) 3))) (* -1/8 (/ (pow x 2) (sin (* 1/2 (PI)))))) (pow y 2))) (/ 1 (sin (* 1/2 (PI))))) (* -1/2 (/ (* x (cos (* 1/2 (PI)))) (* y (pow (sin (* 1/2 (PI))) 2)))))))
#s(approx (pow (sin (+ (neg (* (/ x y) 1/2)) (/ (PI) 2))) -1) #s(hole binary64 (- (+ (* -1 (/ (+ (* -1/16 (/ (* (pow x 3) (cos (* 1/2 (PI)))) (pow (sin (* 1/2 (PI))) 2))) (+ (* 1/48 (/ (* (pow x 3) (cos (* 1/2 (PI)))) (pow (sin (* 1/2 (PI))) 2))) (* 1/2 (/ (* x (* (cos (* 1/2 (PI))) (+ (* -1/4 (/ (* (pow x 2) (pow (cos (* 1/2 (PI))) 2)) (pow (sin (* 1/2 (PI))) 3))) (* -1/8 (/ (pow x 2) (sin (* 1/2 (PI)))))))) (sin (* 1/2 (PI))))))) (pow y 3))) (/ 1 (sin (* 1/2 (PI))))) (+ (* -1/2 (/ (* x (cos (* 1/2 (PI)))) (* y (pow (sin (* 1/2 (PI))) 2)))) (+ (* -1/4 (/ (* (pow x 2) (pow (cos (* 1/2 (PI))) 2)) (* (pow y 2) (pow (sin (* 1/2 (PI))) 3)))) (* -1/8 (/ (pow x 2) (* (pow y 2) (sin (* 1/2 (PI)))))))))))
#s(approx (sin (+ (neg (* (/ x y) 1/2)) (/ (PI) 2))) #s(hole binary64 (+ (sin (* 1/2 (PI))) (+ (* -1/2 (/ (* x (cos (* 1/2 (PI)))) y)) (* -1/8 (/ (* (pow x 2) (sin (* 1/2 (PI)))) (pow y 2)))))))
#s(approx (sin (+ (neg (* (/ x y) 1/2)) (/ (PI) 2))) #s(hole binary64 (+ (sin (* 1/2 (PI))) (+ (* -1/2 (/ (* x (cos (* 1/2 (PI)))) y)) (+ (* -1/8 (/ (* (pow x 2) (sin (* 1/2 (PI)))) (pow y 2))) (* 1/48 (/ (* (pow x 3) (cos (* 1/2 (PI)))) (pow y 3))))))))
#s(approx (pow (pow (cos (* (/ x y) 1/2)) -1/2) 2) #s(hole binary64 (- (+ 1 (* -1 (/ (+ (* -1/64 (pow x 4)) (* 1/384 (pow x 4))) (pow y 4)))) (* -1/8 (/ (pow x 2) (pow y 2))))))
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#s(approx (pow (cos (* (/ x y) 1/2)) -1/2) #s(hole binary64 (+ 1 (+ (* -1/2 (/ (+ (* -1/64 (pow x 4)) (+ (* 1/384 (pow x 4)) (* 1/256 (pow x 4)))) (pow y 4))) (* 1/16 (/ (pow x 2) (pow y 2)))))))
#s(approx (pow (cos (* (/ x y) 1/2)) -1/2) #s(hole binary64 (+ 1 (+ (* -1/2 (/ (+ (* -1/16 (* (pow x 2) (+ (* -1/64 (pow x 4)) (+ (* 1/384 (pow x 4)) (* 1/256 (pow x 4)))))) (+ (* -1/46080 (pow x 6)) (+ (* 1/3072 (pow x 6)) (* 1/8 (* (pow x 2) (+ (* -1/64 (pow x 4)) (* 1/384 (pow x 4)))))))) (pow y 6))) (+ (* -1/2 (/ (+ (* -1/64 (pow x 4)) (+ (* 1/384 (pow x 4)) (* 1/256 (pow x 4)))) (pow y 4))) (* 1/16 (/ (pow x 2) (pow y 2))))))))
#s(approx (cos (* (/ x y) 1/2)) #s(hole binary64 (+ 1 (+ (* -1/8 (/ (pow x 2) (pow y 2))) (* 1/384 (/ (pow x 4) (pow y 4)))))))
#s(approx (cos (* (/ x y) 1/2)) #s(hole binary64 (+ 1 (+ (* -1/8 (/ (pow x 2) (pow y 2))) (+ (* -1/46080 (/ (pow x 6) (pow y 6))) (* 1/384 (/ (pow x 4) (pow y 4))))))))
#s(approx (/ (tan (/ x (* y 2))) (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 (/ -1 (cos (+ (* (/ x y) 1/2) (PI)))) #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 (cos (+ (* (/ x y) 1/2) (PI))) #s(hole binary64 (+ (cos (PI)) (* -1 (/ (- (* 1/8 (/ (* (pow x 2) (cos (PI))) y)) (* -1/2 (* x (sin (PI))))) y)))))
#s(approx (cos (+ (* (/ x y) 1/2) (PI))) #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)))))
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#s(approx (sin (+ (neg (* (/ x y) 1/2)) (/ (PI) 2))) #s(hole binary64 (+ (sin (* 1/2 (PI))) (* -1 (/ (+ (* 1/8 (/ (* (pow x 2) (sin (* 1/2 (PI)))) y)) (* 1/2 (* x (cos (* 1/2 (PI)))))) y)))))
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Outputs
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#s(approx x x)
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#s(approx (+ (* (PI) y) (* 1/2 x)) (*.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 x y) (PI.f64)) y))
#s(approx (pow (sin (+ (neg (* (/ x y) 1/2)) (/ (PI) 2))) -1) (fma.f64 (/.f64 (fma.f64 (/.f64 (pow.f64 (.f64 (cos.f64 (.f64 (PI.f64) #s(literal 1/2 binary64))) x) #s(literal 2 binary64)) (pow.f64 (sin.f64 (.f64 (PI.f64) #s(literal 1/2 binary64))) #s(literal 3 binary64))) #s(literal -1/4 binary64) (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 x x)) (sin.f64 (.f64 (PI.f64) #s(literal 1/2 binary64))))) (.f64 y y)) #s(literal -1 binary64) (-.f64 (pow.f64 (sin.f64 (.f64 (PI.f64) #s(literal 1/2 binary64))) #s(literal -1 binary64)) (.f64 (.f64 (/.f64 x y) (/.f64 (cos.f64 (.f64 (PI.f64) #s(literal 1/2 binary64))) (pow.f64 (sin.f64 (.f64 (PI.f64) #s(literal 1/2 binary64))) #s(literal 2 binary64)))) #s(literal -1/2 binary64)))))
#s(approx (pow (sin (+ (neg (* (/ x y) 1/2)) (/ (PI) 2))) -1) (fma.f64 (/.f64 (fma.f64 (/.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) (cos.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)))) (pow.f64 (sin.f64 (.f64 (PI.f64) #s(literal 1/2 binary64))) #s(literal 2 binary64))) #s(literal -1/16 binary64) (fma.f64 (/.f64 (.f64 (.f64 (cos.f64 (.f64 (PI.f64) #s(literal 1/2 binary64))) x) (fma.f64 (/.f64 (pow.f64 (.f64 (cos.f64 (.f64 (PI.f64) #s(literal 1/2 binary64))) x) #s(literal 2 binary64)) (pow.f64 (sin.f64 (.f64 (PI.f64) #s(literal 1/2 binary64))) #s(literal 3 binary64))) #s(literal -1/4 binary64) (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 x x)) (sin.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)))))) (sin.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)))) #s(literal 1/2 binary64) (.f64 (/.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) (cos.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)))) (pow.f64 (sin.f64 (.f64 (PI.f64) #s(literal 1/2 binary64))) #s(literal 2 binary64))) #s(literal 1/48 binary64)))) (pow.f64 y #s(literal 3 binary64))) #s(literal -1 binary64) (-.f64 (pow.f64 (sin.f64 (.f64 (PI.f64) #s(literal 1/2 binary64))) #s(literal -1 binary64)) (fma.f64 (.f64 (/.f64 x y) (/.f64 (cos.f64 (.f64 (PI.f64) #s(literal 1/2 binary64))) (pow.f64 (sin.f64 (.f64 (PI.f64) #s(literal 1/2 binary64))) #s(literal 2 binary64)))) #s(literal -1/2 binary64) (fma.f64 (/.f64 (pow.f64 (.f64 (cos.f64 (.f64 (PI.f64) #s(literal 1/2 binary64))) x) #s(literal 2 binary64)) (.f64 (pow.f64 (sin.f64 (.f64 (PI.f64) #s(literal 1/2 binary64))) #s(literal 3 binary64)) (.f64 y y))) #s(literal -1/4 binary64) (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 x x)) (.f64 (sin.f64 (.f64 (PI.f64) #s(literal 1/2 binary64))) (*.f64 y y))))))))
#s(approx (sin (+ (neg (* (/ x y) 1/2)) (/ (PI) 2))) (+.f64 (fma.f64 (.f64 x (/.f64 (cos.f64 (.f64 (PI.f64) #s(literal 1/2 binary64))) y)) #s(literal -1/2 binary64) (.f64 (.f64 (.f64 x x) (/.f64 (sin.f64 (.f64 (PI.f64) #s(literal 1/2 binary64))) (.f64 y y))) #s(literal -1/8 binary64))) (sin.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)))))
#s(approx (sin (+ (neg (* (/ x y) 1/2)) (/ (PI) 2))) (+.f64 (fma.f64 (.f64 x (/.f64 (cos.f64 (.f64 (PI.f64) #s(literal 1/2 binary64))) y)) #s(literal -1/2 binary64) (fma.f64 (/.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) (cos.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)))) (pow.f64 y #s(literal 3 binary64))) #s(literal 1/48 binary64) (.f64 (.f64 (.f64 x x) (/.f64 (sin.f64 (.f64 (PI.f64) #s(literal 1/2 binary64))) (.f64 y y))) #s(literal -1/8 binary64)))) (sin.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)))))
#s(approx (pow (sin (+ (neg (* (/ x y) 1/2)) (/ (PI) 2))) -1) (-.f64 (fma.f64 (/.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -5/384 binary64)) (pow.f64 y #s(literal 4 binary64))) #s(literal -1 binary64) #s(literal 1 binary64)) (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 x x)) (.f64 y y))))
#s(approx (pow (sin (+ (neg (* (/ x y) 1/2)) (/ (PI) 2))) -1) (-.f64 (fma.f64 (/.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -1/46080 binary64) (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/3072 binary64) (.f64 (.f64 #s(literal 1/8 binary64) (.f64 x x)) (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -5/384 binary64))))) (pow.f64 y #s(literal 6 binary64))) #s(literal -1 binary64) #s(literal 1 binary64)) (fma.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) #s(literal -5/384 binary64) (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 x x)) (*.f64 y y)))))
#s(approx (pow (cos (* (/ x y) 1/2)) -1/2) (+.f64 (fma.f64 (/.f64 (fma.f64 #s(literal -1/64 binary64) (pow.f64 x #s(literal 4 binary64)) (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5/768 binary64))) (pow.f64 y #s(literal 4 binary64))) #s(literal -1/2 binary64) (/.f64 (.f64 #s(literal 1/16 binary64) (.f64 x x)) (.f64 y y))) #s(literal 1 binary64)))
#s(approx (pow (cos (* (/ x y) 1/2)) -1/2) (+.f64 (fma.f64 (/.f64 (fma.f64 (.f64 #s(literal -1/16 binary64) (.f64 x x)) (fma.f64 #s(literal -1/64 binary64) (pow.f64 x #s(literal 4 binary64)) (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5/768 binary64))) (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -1/46080 binary64) (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/3072 binary64) (.f64 (.f64 #s(literal 1/8 binary64) (.f64 x x)) (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -5/384 binary64)))))) (pow.f64 y #s(literal 6 binary64))) #s(literal -1/2 binary64) (fma.f64 (/.f64 (fma.f64 #s(literal -1/64 binary64) (pow.f64 x #s(literal 4 binary64)) (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5/768 binary64))) (pow.f64 y #s(literal 4 binary64))) #s(literal -1/2 binary64) (/.f64 (.f64 #s(literal 1/16 binary64) (.f64 x x)) (*.f64 y y)))) #s(literal 1 binary64)))
#s(approx (sin (+ (neg (* (/ x y) 1/2)) (/ (PI) 2))) (+.f64 (fma.f64 #s(literal -1/8 binary64) (/.f64 (.f64 x x) (.f64 y y)) #s(literal 1 binary64)) (/.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/384 binary64)) (pow.f64 y #s(literal 4 binary64)))))
#s(approx (sin (+ (neg (* (/ x y) 1/2)) (/ (PI) 2))) (+.f64 (fma.f64 #s(literal -1/8 binary64) (/.f64 (.f64 x x) (.f64 y y)) (fma.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal 6 binary64))) #s(literal -1/46080 binary64) (/.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/384 binary64)) (pow.f64 y #s(literal 4 binary64))))) #s(literal 1 binary64)))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (-.f64 (fma.f64 (/.f64 (/.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/24 binary64)) x) (.f64 y y)) #s(literal -2 binary64) #s(literal 1 binary64)) (/.f64 (.f64 #s(literal -1/24 binary64) (.f64 x x)) (*.f64 y y))))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (-.f64 (fma.f64 #s(literal -2 binary64) (+.f64 (/.f64 (-.f64 (.f64 #s(literal -1/3840 binary64) (pow.f64 x #s(literal 5 binary64))) (fma.f64 (.f64 #s(literal -1/8 binary64) (.f64 x x)) (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/24 binary64)) (.f64 #s(literal -1/768 binary64) (pow.f64 x #s(literal 5 binary64))))) (.f64 (pow.f64 y #s(literal 4 binary64)) x)) (/.f64 (/.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/24 binary64)) x) (.f64 y y))) #s(literal 1 binary64)) (fma.f64 (/.f64 (.f64 (fma.f64 (/.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/24 binary64)) x) #s(literal -2 binary64) (.f64 #s(literal 1/24 binary64) (.f64 x x))) (.f64 x x)) (pow.f64 y #s(literal 4 binary64))) #s(literal -1/24 binary64) (fma.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) #s(literal 1/1920 binary64) (/.f64 (.f64 #s(literal -1/24 binary64) (.f64 x x)) (.f64 y y))))))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (-.f64 (+.f64 (fma.f64 (/.f64 (-.f64 (.f64 #s(literal -1/3840 binary64) (pow.f64 x #s(literal 5 binary64))) (fma.f64 (.f64 #s(literal -1/8 binary64) (.f64 x x)) (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/24 binary64)) (.f64 #s(literal -1/768 binary64) (pow.f64 x #s(literal 5 binary64))))) (.f64 (pow.f64 y #s(literal 4 binary64)) x)) #s(literal -2 binary64) (.f64 #s(literal -2 binary64) (+.f64 (/.f64 (-.f64 (.f64 #s(literal 1/645120 binary64) (pow.f64 x #s(literal 7 binary64))) (fma.f64 (.f64 #s(literal -1/8 binary64) (.f64 x x)) (-.f64 (.f64 #s(literal -1/3840 binary64) (pow.f64 x #s(literal 5 binary64))) (fma.f64 (.f64 #s(literal -1/8 binary64) (.f64 x x)) (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/24 binary64)) (.f64 #s(literal -1/768 binary64) (pow.f64 x #s(literal 5 binary64))))) (fma.f64 (.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/24 binary64)) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/384 binary64) (.f64 #s(literal 1/92160 binary64) (pow.f64 x #s(literal 7 binary64)))))) (.f64 (pow.f64 y #s(literal 6 binary64)) x)) (/.f64 (/.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/24 binary64)) x) (.f64 y y))))) #s(literal 1 binary64)) (fma.f64 (.f64 (.f64 x x) (/.f64 (-.f64 (.f64 (/.f64 (-.f64 (.f64 #s(literal -1/3840 binary64) (pow.f64 x #s(literal 5 binary64))) (fma.f64 (.f64 #s(literal -1/8 binary64) (.f64 x x)) (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/24 binary64)) (.f64 #s(literal -1/768 binary64) (pow.f64 x #s(literal 5 binary64))))) x) #s(literal -2 binary64)) (fma.f64 (.f64 (fma.f64 (/.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/24 binary64)) x) #s(literal -2 binary64) (.f64 #s(literal 1/24 binary64) (.f64 x x))) (.f64 x x)) #s(literal -1/24 binary64) (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/1920 binary64)))) (pow.f64 y #s(literal 6 binary64)))) #s(literal -1/24 binary64) (fma.f64 (/.f64 (.f64 (fma.f64 (/.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/24 binary64)) x) #s(literal -2 binary64) (.f64 #s(literal 1/24 binary64) (.f64 x x))) (.f64 x x)) (pow.f64 y #s(literal 4 binary64))) #s(literal -1/24 binary64) (fma.f64 #s(literal -1/24 binary64) (/.f64 (.f64 x x) (.f64 y y)) (fma.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal 6 binary64))) #s(literal -1/322560 binary64) (.f64 #s(literal 1/1920 binary64) (fma.f64 (pow.f64 x #s(literal 4 binary64)) (/.f64 (fma.f64 (/.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/24 binary64)) x) #s(literal -2 binary64) (.f64 #s(literal 1/24 binary64) (.f64 x x))) (pow.f64 y #s(literal 6 binary64))) (/.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64)))))))))))
#s(approx (pow (sin (+ (neg (* (/ x y) 1/2)) (/ (PI) 2))) -1) (-.f64 (neg.f64 (/.f64 (fma.f64 (/.f64 (/.f64 (.f64 x x) y) #s(literal -1 binary64)) #s(literal 1/8 binary64) (-.f64 (.f64 (.f64 (/.f64 (.f64 x x) y) #s(literal 0 binary64)) #s(literal 1/4 binary64)) (.f64 (.f64 #s(literal 0 binary64) x) #s(literal -1/2 binary64)))) y)) #s(literal -1 binary64)))
#s(approx (pow (sin (+ (neg (* (/ x y) 1/2)) (/ (PI) 2))) -1) (-.f64 (neg.f64 (/.f64 (fma.f64 (/.f64 (-.f64 (fma.f64 (.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) y) #s(literal 0 binary64)) #s(literal -1/24 binary64) (/.f64 (.f64 #s(literal -1/2 binary64) (.f64 (.f64 (fma.f64 (.f64 #s(literal 0 binary64) (.f64 x x)) #s(literal 1/4 binary64) (.f64 (/.f64 (.f64 x x) #s(literal -1 binary64)) #s(literal 1/8 binary64))) #s(literal 0 binary64)) x)) (.f64 #s(literal -1 binary64) y))) (fma.f64 (.f64 #s(literal 0 binary64) (.f64 x x)) #s(literal 1/4 binary64) (.f64 (/.f64 (.f64 x x) #s(literal -1 binary64)) #s(literal 1/8 binary64)))) y) #s(literal -1 binary64) (.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 0 binary64) x))) y)) #s(literal -1 binary64)))
#s(approx (cos (+ (* (/ x y) 1/2) (PI))) (fma.f64 (/.f64 (fma.f64 (/.f64 (.f64 (.f64 x x) #s(literal -1 binary64)) y) #s(literal 1/8 binary64) (.f64 #s(literal 1/2 binary64) (.f64 #s(literal 0 binary64) x))) y) #s(literal -1 binary64) #s(literal -1 binary64)))
#s(approx (cos (+ (* (/ x y) 1/2) (PI))) (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 (.f64 x x) #s(literal -1 binary64)) #s(literal -1/8 binary64))) y) #s(literal -1 binary64) (.f64 #s(literal 1/2 binary64) (.f64 #s(literal 0 binary64) x))) y) #s(literal -1 binary64) #s(literal -1 binary64)))
#s(approx (+ (* (PI) y) (* 1/2 x)) (neg.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 x y) (neg.f64 (PI.f64))) y)))
#s(approx (pow (sin (+ (neg (* (/ x y) 1/2)) (/ (PI) 2))) -1) (fma.f64 (/.f64 (fma.f64 (/.f64 (pow.f64 (.f64 (cos.f64 (.f64 (PI.f64) #s(literal 1/2 binary64))) x) #s(literal 2 binary64)) (.f64 (pow.f64 (sin.f64 (.f64 (PI.f64) #s(literal 1/2 binary64))) #s(literal 3 binary64)) y)) #s(literal -1/4 binary64) (-.f64 (.f64 (/.f64 (/.f64 (.f64 x x) y) (sin.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)))) #s(literal -1/8 binary64)) (/.f64 (.f64 (.f64 #s(literal 1/2 binary64) x) (cos.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)))) (pow.f64 (sin.f64 (.f64 (PI.f64) #s(literal 1/2 binary64))) #s(literal 2 binary64))))) y) #s(literal -1 binary64) (pow.f64 (sin.f64 (.f64 (PI.f64) #s(literal 1/2 binary64))) #s(literal -1 binary64))))
#s(approx (pow (sin (+ (neg (* (/ x y) 1/2)) (/ (PI) 2))) -1) (fma.f64 (/.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 (.f64 (.f64 (cos.f64 (.f64 (PI.f64) #s(literal 1/2 binary64))) x) (fma.f64 (/.f64 (pow.f64 (.f64 (cos.f64 (.f64 (PI.f64) #s(literal 1/2 binary64))) x) #s(literal 2 binary64)) (pow.f64 (sin.f64 (.f64 (PI.f64) #s(literal 1/2 binary64))) #s(literal 3 binary64))) #s(literal -1/4 binary64) (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 x x)) (sin.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)))))) (.f64 (sin.f64 (.f64 (PI.f64) #s(literal 1/2 binary64))) y)) #s(literal -1/2 binary64) (-.f64 (.f64 (.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) y) (/.f64 (cos.f64 (.f64 (PI.f64) #s(literal 1/2 binary64))) (pow.f64 (sin.f64 (.f64 (PI.f64) #s(literal 1/2 binary64))) #s(literal 2 binary64)))) #s(literal 1/24 binary64)) (fma.f64 (/.f64 (pow.f64 (.f64 (cos.f64 (.f64 (PI.f64) #s(literal 1/2 binary64))) x) #s(literal 2 binary64)) (pow.f64 (sin.f64 (.f64 (PI.f64) #s(literal 1/2 binary64))) #s(literal 3 binary64))) #s(literal -1/4 binary64) (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 x x)) (sin.f64 (.f64 (PI.f64) #s(literal 1/2 binary64))))))) y) #s(literal -1 binary64) (.f64 #s(literal -1/2 binary64) (.f64 x (/.f64 (cos.f64 (.f64 (PI.f64) #s(literal 1/2 binary64))) (pow.f64 (sin.f64 (.f64 (PI.f64) #s(literal 1/2 binary64))) #s(literal 2 binary64)))))) y) #s(literal -1 binary64) (pow.f64 (sin.f64 (.f64 (PI.f64) #s(literal 1/2 binary64))) #s(literal -1 binary64))))
#s(approx (sin (+ (neg (* (/ x y) 1/2)) (/ (PI) 2))) (fma.f64 (/.f64 (fma.f64 (/.f64 (.f64 (sin.f64 (.f64 (PI.f64) #s(literal 1/2 binary64))) (.f64 x x)) y) #s(literal 1/8 binary64) (.f64 (.f64 #s(literal 1/2 binary64) x) (cos.f64 (.f64 (PI.f64) #s(literal 1/2 binary64))))) y) #s(literal -1 binary64) (sin.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)))))
#s(approx (sin (+ (neg (* (/ x y) 1/2)) (/ (PI) 2))) (fma.f64 (/.f64 (fma.f64 (.f64 (cos.f64 (.f64 (PI.f64) #s(literal 1/2 binary64))) x) #s(literal 1/2 binary64) (neg.f64 (/.f64 (fma.f64 (/.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) (cos.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)))) y) #s(literal 1/48 binary64) (.f64 (.f64 #s(literal -1/8 binary64) (.f64 x x)) (sin.f64 (.f64 (PI.f64) #s(literal 1/2 binary64))))) y))) y) #s(literal -1 binary64) (sin.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)))))

eval39.0ms (1.1%)

Memory: 7.9MiB live, 155.7MiB allocated; 12ms collecting garbage
Compiler: Compiled 10 106 to 1 338 computations (86.8% saved)

prune43.0ms (1.2%)

Memory

26.0MiB live, 165.8MiB allocated; 8ms collecting garbage

Pruning

39 alts after pruning (34 fresh and 5 done)

	Pruned	Kept	Total
New	242	14	256
Fresh	3	20	23
Picked	2	3	5
Done	0	2	2
Total	247	39	286

Accuracy

61.6%

Counts

286 → 39

Alt Table

Click to see full alt table

Status	Accuracy	Program
	5.8%	(/.f64 (/.f64 (+.f64 (tan.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64))) (tan.f64 (PI.f64))) (-.f64 #s(literal 1 binary64) (.f64 (tan.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64))) (tan.f64 (PI.f64))))) (sin.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))))
	42.3%	(/.f64 (/.f64 (sin.f64 (/.f64 x y)) (+.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x y)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
	3.2%	(/.f64 (tan.f64 (/.f64 (+.f64 (pow.f64 (/.f64 x (.f64 #s(literal 2 binary64) y)) #s(literal 3 binary64)) (pow.f64 (PI.f64) #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 x (.f64 #s(literal 2 binary64) y)) #s(literal 2 binary64)) (-.f64 (.f64 (PI.f64) (PI.f64)) (.f64 (/.f64 x (.f64 #s(literal 2 binary64) y)) (PI.f64)))))) (sin.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))))
	42.3%	(/.f64 (tan.f64 (/.f64 x (+.f64 y y))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
	5.7%	(/.f64 (tan.f64 #s(approx (+ (/ (/ x y) 2) (PI)) (fma.f64 (/.f64 x y) #s(literal 1/2 binary64) (PI.f64)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
	1.8%	(/.f64 (tan.f64 #s(approx (+ (/ (/ x y) 2) (PI)) (/.f64 (/.f64 (+.f64 (pow.f64 (.f64 (PI.f64) y) #s(literal 3 binary64)) (pow.f64 (.f64 #s(literal 1/2 binary64) x) #s(literal 3 binary64))) (fma.f64 (.f64 (PI.f64) y) (.f64 (PI.f64) y) (-.f64 (.f64 (.f64 #s(literal 1/2 binary64) x) (.f64 #s(literal 1/2 binary64) x)) (.f64 (.f64 (PI.f64) y) (.f64 #s(literal 1/2 binary64) x))))) y))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
	5.7%	(/.f64 (tan.f64 #s(approx (+ (/ (/ x y) 2) (PI)) (.f64 (+.f64 (/.f64 (PI.f64) x) (/.f64 #s(literal 1/2 binary64) y)) x))) (sin.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))))
	42.5%	(/.f64 #s(approx (tan (+ (/ (/ x y) 2) (PI))) (/.f64 (neg.f64 (sin.f64 (.f64 (/.f64 x y) #s(literal 1/2 binary64)))) (cos.f64 (fma.f64 (/.f64 x y) #s(literal 1/2 binary64) (PI.f64))))) (sin.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))))
	52.9%	#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (pow.f64 (pow.f64 (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y))) #s(literal -1/4 binary64)) #s(literal 2 binary64)) #s(literal 2 binary64)))
	55.0%	#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (pow.f64 (pow.f64 (.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) (/.f64 x y))) (cos.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y)))) #s(literal -1/4 binary64)) #s(literal 2 binary64)))
	52.9%	#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (pow.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y))) #s(literal -1 binary64)) #s(literal -1/2 binary64))) #s(literal 2 binary64)))
	52.9%	#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (pow.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y))))) #s(literal 2 binary64)))
	52.9%	#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (pow.f64 (sqrt.f64 (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y))) #s(literal -1 binary64))) #s(literal 2 binary64)))
	52.9%	#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (pow.f64 (sin.f64 (/.f64 (+.f64 (pow.f64 (.f64 (/.f64 x y) #s(literal 1/2 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 1/2 binary64)) (.f64 (/.f64 x y) #s(literal 1/2 binary64)) (-.f64 (.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64))) (.f64 (.f64 (/.f64 x y) #s(literal 1/2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64))))))) #s(literal -1 binary64)))
	55.0%	#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (pow.f64 (sin.f64 #s(approx (+ (* (/ x y) 1/2) (/ (PI) 2)) (*.f64 (fma.f64 (/.f64 (PI.f64) x) #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) y)) x))) #s(literal -1 binary64)))
	55.3%	#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (pow.f64 (sin.f64 #s(approx (+ (neg (* (/ x y) 1/2)) (/ (PI) 2)) (.f64 (-.f64 (.f64 (/.f64 (PI.f64) x) #s(literal 1/2 binary64)) (/.f64 #s(literal 1/2 binary64) y)) x))) #s(literal -1 binary64)))
	52.5%	#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (pow.f64 #s(approx (sin (+ (neg (* (/ 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 (PI.f64) #s(literal 1/2 binary64))))) #s(literal -1 binary64)))
	44.2%	#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 (.f64 #s(literal 2 binary64) (fma.f64 (.f64 y x) (-.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal 0 binary64) (.f64 #s(literal 1 binary64) y))) (.f64 #s(literal 0 binary64) y))) x))
	55.2%	#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64)))))
	55.3%	#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal -1 binary64) (sin.f64 (+.f64 (fma.f64 (/.f64 x y) #s(literal 1/2 binary64) (PI.f64)) (/.f64 (PI.f64) #s(literal 2 binary64))))))
	55.1%	#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal -1 binary64) (sin.f64 (+.f64 (neg.f64 #s(approx (+ (* (/ x y) 1/2) (PI)) (/.f64 (fma.f64 (PI.f64) y (*.f64 #s(literal 1/2 binary64) x)) y))) (/.f64 (PI.f64) #s(literal 2 binary64))))))
	4.3%	#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal -1 binary64) (sin.f64 (+.f64 (neg.f64 #s(approx (+ (* (/ x y) 1/2) (PI)) (*.f64 #s(literal 1/2 binary64) (/.f64 x y)))) (/.f64 (PI.f64) #s(literal 2 binary64))))))
	55.3%	#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal -1 binary64) (sin.f64 (+.f64 #s(approx (+ (* (/ x y) 1/2) (PI)) (/.f64 (fma.f64 (PI.f64) y (*.f64 #s(literal 1/2 binary64) x)) y)) (/.f64 (PI.f64) #s(literal 2 binary64))))))
	4.5%	#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal -1 binary64) (sin.f64 (+.f64 #s(approx (+ (* (/ x y) 1/2) (PI)) (*.f64 #s(literal 1/2 binary64) (/.f64 x y))) (/.f64 (PI.f64) #s(literal 2 binary64))))))
✓	55.4%	#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal -1 binary64) (cos.f64 (fma.f64 (/.f64 x y) #s(literal 1/2 binary64) (PI.f64)))))
	55.4%	#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal -1 binary64) (cos.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 x y) (PI.f64)))))
	53.2%	#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal -1 binary64) (cos.f64 (/.f64 (-.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) (pow.f64 (.f64 #s(literal -1/2 binary64) (/.f64 x y)) #s(literal 3 binary64))) (fma.f64 (PI.f64) (PI.f64) (fma.f64 (.f64 #s(literal -1/2 binary64) (/.f64 x y)) (.f64 #s(literal -1/2 binary64) (/.f64 x y)) (.f64 (PI.f64) (*.f64 #s(literal -1/2 binary64) (/.f64 x y)))))))))
✓	55.4%	#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal -1 binary64) (cos.f64 #s(approx (+ (* (/ x y) 1/2) (PI)) (/.f64 (fma.f64 (PI.f64) y (*.f64 #s(literal 1/2 binary64) x)) y)))))
	15.9%	#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal -1 binary64) (cos.f64 #s(approx (+ (* (/ x y) 1/2) (PI)) (/.f64 (/.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/8 binary64) (pow.f64 (.f64 (PI.f64) y) #s(literal 3 binary64))) (+.f64 (pow.f64 (.f64 #s(literal 1/2 binary64) x) #s(literal 2 binary64)) (-.f64 (pow.f64 (.f64 (PI.f64) y) #s(literal 2 binary64)) (.f64 (.f64 #s(literal 1/2 binary64) x) (.f64 (PI.f64) y))))) y)))))
	23.6%	#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal -1 binary64) (cos.f64 #s(approx (+ (* (/ x y) 1/2) (PI)) (/.f64 (/.f64 (-.f64 (pow.f64 (.f64 (PI.f64) y) #s(literal 2 binary64)) (pow.f64 (.f64 #s(literal 1/2 binary64) x) #s(literal 2 binary64))) (-.f64 (.f64 (PI.f64) y) (.f64 #s(literal 1/2 binary64) x))) y)))))
✓	4.6%	#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal -1 binary64) (cos.f64 #s(approx (+ (* (/ x y) 1/2) (PI)) (*.f64 (/.f64 x y) #s(literal 1/2 binary64))))))
	55.2%	#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal -1 binary64) (cos.f64 #s(approx (+ (* (/ x y) 1/2) (PI)) (*.f64 (+.f64 (/.f64 (PI.f64) x) (/.f64 #s(literal 1/2 binary64) y)) x)))))
	49.5%	#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal -1 binary64) #s(approx (cos (+ (* (/ x y) 1/2) (PI))) (fma.f64 (/.f64 (fma.f64 (/.f64 (.f64 (.f64 x x) #s(literal -1 binary64)) y) #s(literal 1/8 binary64) (.f64 (.f64 #s(literal 0 binary64) x) #s(literal 1/2 binary64))) y) #s(literal -1 binary64) #s(literal -1 binary64)))))
	49.8%	#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal -1 binary64) #s(approx (cos (+ (* (/ x y) 1/2) (PI))) (fma.f64 (-.f64 (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 #s(literal -1 binary64) x)) (*.f64 y y)) (/.f64 #s(literal 0 binary64) y)) x #s(literal -1 binary64)))))
	46.4%	#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal -1 binary64) #s(approx (cos (+ (* (/ x y) 1/2) (PI))) (-.f64 (fma.f64 (.f64 (.f64 x x) (/.f64 #s(literal -1 binary64) (.f64 y y))) #s(literal -1/8 binary64) #s(literal -1 binary64)) (.f64 (/.f64 (*.f64 #s(literal 0 binary64) x) y) #s(literal 1/2 binary64))))))
	52.1%	#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(approx (pow (sin (+ (* (/ x y) 1/2) (/ (PI) 2))) -1) (fma.f64 (.f64 (/.f64 x y) (/.f64 (cos.f64 (.f64 (PI.f64) #s(literal 1/2 binary64))) (pow.f64 (sin.f64 (.f64 (PI.f64) #s(literal 1/2 binary64))) #s(literal 2 binary64)))) #s(literal -1/2 binary64) (pow.f64 (sin.f64 (.f64 (PI.f64) #s(literal 1/2 binary64))) #s(literal -1 binary64)))))
✓	3.1%	#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(approx (* (* (/ y x) 0) 2) #s(literal 0 binary64)))
✓	56.8%	#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(literal 1 binary64))
	44.2%	#s(approx (/ (tan (+ (/ (/ x y) 2) (PI))) (sin (/ x (* y 2)))) (+.f64 #s(literal 0 binary64) (.f64 y (.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) x (.f64 (.f64 #s(literal 0 binary64) x) #s(literal 1/2 binary64))) (*.f64 y x)) #s(literal 2 binary64)))))

Compiler

Compiled 3 063 to 1 229 computations (59.9% saved)

regimes88.0ms (2.4%)

Memory

-49.5MiB live, 292.9MiB allocated; 22ms collecting garbage

Accuracy

Total -36.2b remaining (-130.9%)

Threshold costs -36.2b (-130.9%)

Counts

57 → 1

Calls

Call 1

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

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

Calls

5 calls:

17.0ms	y
16.0ms	(*.f64 y #s(literal 2 binary64))
16.0ms	(/.f64 x (*.f64 y #s(literal 2 binary64)))
15.0ms	x
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
56.8%	1	`(*.f64 y #s(literal 2 binary64))`
56.8%	1	`(/.f64 x (*.f64 y #s(literal 2 binary64)))`
56.8%	1	`(/.f64 (tan.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))))`
56.8%	1	`x`
56.8%	1	`y`

Compiler

Compiled 23 to 21 computations (8.7% saved)

derivations24.0ms (0.7%)

Memory

-2.1MiB live, 45.0MiB allocated; 1ms collecting garbage

Stop Event

1×

fuel

Compiler

Compiled 15 to 10 computations (33.3% saved)

preprocess24.0ms (0.6%)

Memory

-2.2MiB live, 98.3MiB allocated; 4ms collecting garbage

Remove

(abs y)

(abs x)

Compiler

Compiled 180 to 112 computations (37.8% saved)

end0.0ms (0%)

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

start0.0ms (0%)

analyze207.0ms (5.6%)

sample1.6s (42.9%)

explain175.0ms (4.8%)

preprocess194.0ms (5.3%)

eval0.0ms (0%)

prune0.0ms (0%)

series24.0ms (0.7%)

rewrite176.0ms (4.8%)

eval34.0ms (0.9%)

prune10.0ms (0.3%)

series59.0ms (1.6%)

rewrite322.0ms (8.7%)

eval39.0ms (1.1%)

prune18.0ms (0.5%)

series61.0ms (1.7%)

rewrite245.0ms (6.7%)

eval46.0ms (1.3%)

prune37.0ms (1%)

series31.0ms (0.8%)

rewrite207.0ms (5.6%)

eval39.0ms (1.1%)

prune43.0ms (1.2%)

regimes88.0ms (2.4%)

derivations24.0ms (0.7%)

preprocess24.0ms (0.6%)

end0.0ms (0%)

Profiling