Metrics for Diagrams.TwoD.Layout.CirclePacking:approxRadius from diagrams-contrib-1.3.0.5

start0.0ms (0%)

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

analyze155.0ms (4.5%)

Memory

-3.1MiB live, 54.4MiB allocated; 3ms 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)

sample1.5s (42.1%)

Memory

21.1MiB live, 389.4MiB allocated; 40ms collecting garbage

Samples

340.0ms	1 408×	1184	valid
283.0ms	789×	2368	valid
216.0ms	4 294×	74	valid
186.0ms	969×	592	valid
95.0ms	538×	296	valid
44.0ms	258×	148	valid

Precisions

Click to see histograms. Total time spent on operations: 940.0ms

ival-tan: 340.0ms (36.2% of total)

ival-sin: 320.0ms (34.1% of total)

ival-div!: 204.0ms (21.7% of total)

ival-mult!: 42.0ms (4.5% of total)

adjust: 33.0ms (3.5% of total)

Bogosity

explain142.0ms (4.1%)

Memory

-0.2MiB live, 57.5MiB allocated; 2ms collecting garbage

FPErrors

Click to see full error table

Ground Truth	Example	Underpredictions	Example	Subexpression
123	-	1	(-9.431201485144147e+117 5.0305914233075795e+115)	`(tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))`
123	-	1	(-9.431201485144147e+117 5.0305914233075795e+115)	`(sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))`
30	-	0	-	`(/.f64 (tan.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))))`
0	-	0	-	`y`
0	-	0	-	`#s(literal 2 binary64)`
0	-	0	-	`(/.f64 x (*.f64 y #s(literal 2 binary64)))`
0	-	0	-	`x`
0	-	0	-	`(*.f64 y #s(literal 2 binary64))`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`sin.f64`	`(sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))`	sensitivity	94	1
`tan.f64`	`(tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))`	sensitivity	94	1
`/.f64`	`(/.f64 (tan.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))))`	u/u	30	0
↳	`(/.f64 x (*.f64 y #s(literal 2 binary64)))`	underflow	30
↳	`(tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))`	underflow	30
↳	`(/.f64 x (*.f64 y #s(literal 2 binary64)))`	underflow	30
↳	`(sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))`	underflow	30
`sin.f64`	`(sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))`	oflow-rescue	28	0
↳	`(/.f64 x (*.f64 y #s(literal 2 binary64)))`	overflow	28
`tan.f64`	`(tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))`	oflow-rescue	28	0
↳	`(/.f64 x (*.f64 y #s(literal 2 binary64)))`	overflow	28

Confusion

	Predicted +	Predicted -
+	152	0
-	0	104

Precision

1.0

Recall

1.0

Confusion?

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

Precision?

0.9934640522875817

Recall?

1.0

Freqs

test

number	freq
0	104
1	30
2	122

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

22.0ms	80×	1184	valid
18.0ms	44×	2368	valid
16.0ms	270×	74	valid
15.0ms	70×	592	valid
6.0ms	34×	296	valid
3.0ms	14×	148	valid

Compiler

Compiled 89 to 28 computations (68.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 57.0ms

ival-sin: 21.0ms (36.9% of total)

ival-tan: 20.0ms (35.1% of total)

ival-div!: 12.0ms (21.1% of total)

ival-mult!: 3.0ms (5.3% of total)

adjust: 2.0ms (3.5% of total)

preprocess169.0ms (4.9%)

Memory

-1.1MiB live, 30.7MiB allocated; 5ms 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: 0.0MiB live, 0.0MiB allocated; 0ms collecting garbage
Compiler: Compiled 0 to 2 computations (-∞% saved)

prune0.0ms (0%)

Memory

0.3MiB live, 0.3MiB allocated; 0ms collecting garbage

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	44.7%	(/.f64 (tan.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))))

Compiler

Compiled 13 to 8 computations (38.5% saved)

series19.0ms (0.5%)

Memory

-1.1MiB live, 6.4MiB allocated; 1ms 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
5.0ms	y	@	inf	((/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (tan (/ x (* y 2))) (/ x (* y 2)) x (* y 2) y 2 (sin (/ x (* y 2))))
4.0ms	y	@	-inf	((/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (tan (/ x (* y 2))) (/ x (* y 2)) x (* y 2) y 2 (sin (/ x (* y 2))))
2.0ms	x	@	inf	((/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (tan (/ x (* y 2))) (/ x (* y 2)) x (* y 2) y 2 (sin (/ x (* y 2))))
2.0ms	x	@	0	((/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (tan (/ x (* y 2))) (/ x (* y 2)) x (* y 2) y 2 (sin (/ x (* y 2))))
2.0ms	x	@	-inf	((/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (tan (/ x (* y 2))) (/ x (* y 2)) x (* y 2) y 2 (sin (/ x (* y 2))))

rewrite159.0ms (4.6%)

Memory

2.4MiB live, 49.5MiB allocated; 10ms 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)))
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#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)))))))))))
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#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))))
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Outputs
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(/.f64 (tan.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64))) (sin.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64))))
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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))
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#s(approx (tan (/ x (* y 2))) (.f64 (fma.f64 (fma.f64 (fma.f64 (pow.f64 y #s(literal -5 binary64)) #s(literal 1/240 binary64) (/.f64 (.f64 #s(literal 17/40320 binary64) (.f64 x x)) (pow.f64 y #s(literal 7 binary64)))) (.f64 x x) (.f64 (pow.f64 y #s(literal -3 binary64)) #s(literal 1/24 binary64))) (.f64 x x) (/.f64 #s(literal 1/2 binary64) y)) x))
#s(approx (/ x (* y 2)) (*.f64 (/.f64 x y) #s(literal 1/2 binary64)))
#s(approx x x)
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#s(approx (sin (/ x (* y 2))) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/645120 binary64) (/.f64 (.f64 x x) (pow.f64 y #s(literal 7 binary64))) (.f64 #s(literal 1/3840 binary64) (pow.f64 y #s(literal -5 binary64)))) (.f64 x x) (.f64 #s(literal -1/48 binary64) (pow.f64 y #s(literal -3 binary64)))) (.f64 x x) (/.f64 #s(literal 1/2 binary64) y)) x))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (pow.f64 (cos.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64))) #s(literal -1 binary64)))
#s(approx (tan (/ x (* y 2))) (tan.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64))))
#s(approx (sin (/ x (* y 2))) (sin.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64))))
#s(approx (* y 2) (*.f64 #s(literal 2 binary64) y))
#s(approx y y)
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (-.f64 (fma.f64 (/.f64 (/.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/24 binary64)) x) (.f64 y y)) #s(literal 2 binary64) #s(literal 1 binary64)) (/.f64 (.f64 #s(literal -1/24 binary64) (.f64 x x)) (*.f64 y y))))
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#s(approx (tan (/ x (* y 2))) (/.f64 (fma.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (.f64 y y)) #s(literal -1/48 binary64) (-.f64 (.f64 #s(literal 1/2 binary64) x) (/.f64 (.f64 #s(literal -1/16 binary64) (pow.f64 x #s(literal 3 binary64))) (.f64 y y)))) y))
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#s(approx (sin (/ x (* y 2))) (/.f64 (fma.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (.f64 y y)) #s(literal -1/48 binary64) (.f64 #s(literal 1/2 binary64) x)) y))
#s(approx (sin (/ x (* y 2))) (/.f64 (fma.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (.f64 y y)) #s(literal -1/48 binary64) (fma.f64 (/.f64 (pow.f64 x #s(literal 5 binary64)) (pow.f64 y #s(literal 4 binary64))) #s(literal 1/3840 binary64) (.f64 #s(literal 1/2 binary64) x))) y))
#s(approx (sin (/ x (* y 2))) (/.f64 (fma.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (.f64 y y)) #s(literal -1/48 binary64) (fma.f64 (/.f64 (pow.f64 x #s(literal 7 binary64)) (pow.f64 y #s(literal 6 binary64))) #s(literal -1/645120 binary64) (fma.f64 (/.f64 (pow.f64 x #s(literal 5 binary64)) (pow.f64 y #s(literal 4 binary64))) #s(literal 1/3840 binary64) (.f64 #s(literal 1/2 binary64) x)))) y))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (-.f64 (fma.f64 (/.f64 (/.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/24 binary64)) x) (.f64 y y)) #s(literal -2 binary64) #s(literal 1 binary64)) (/.f64 (.f64 #s(literal -1/24 binary64) (.f64 x x)) (*.f64 y y))))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (-.f64 (fma.f64 #s(literal -2 binary64) (+.f64 (/.f64 (-.f64 (.f64 #s(literal -1/3840 binary64) (pow.f64 x #s(literal 5 binary64))) (fma.f64 (.f64 #s(literal -1/8 binary64) (.f64 x x)) (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/24 binary64)) (.f64 #s(literal -1/768 binary64) (pow.f64 x #s(literal 5 binary64))))) (.f64 (pow.f64 y #s(literal 4 binary64)) x)) (/.f64 (/.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/24 binary64)) x) (.f64 y y))) #s(literal 1 binary64)) (fma.f64 (/.f64 (.f64 (fma.f64 (/.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/24 binary64)) x) #s(literal -2 binary64) (.f64 #s(literal 1/24 binary64) (.f64 x x))) (.f64 x x)) (pow.f64 y #s(literal 4 binary64))) #s(literal -1/24 binary64) (fma.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) #s(literal 1/1920 binary64) (/.f64 (.f64 #s(literal -1/24 binary64) (.f64 x x)) (.f64 y y))))))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (-.f64 (+.f64 (fma.f64 (/.f64 (-.f64 (.f64 #s(literal -1/3840 binary64) (pow.f64 x #s(literal 5 binary64))) (fma.f64 (.f64 #s(literal -1/8 binary64) (.f64 x x)) (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/24 binary64)) (.f64 #s(literal -1/768 binary64) (pow.f64 x #s(literal 5 binary64))))) (.f64 (pow.f64 y #s(literal 4 binary64)) x)) #s(literal -2 binary64) (.f64 #s(literal -2 binary64) (+.f64 (/.f64 (-.f64 (.f64 #s(literal 1/645120 binary64) (pow.f64 x #s(literal 7 binary64))) (fma.f64 (.f64 #s(literal -1/8 binary64) (.f64 x x)) (-.f64 (.f64 #s(literal -1/3840 binary64) (pow.f64 x #s(literal 5 binary64))) (fma.f64 (.f64 #s(literal -1/8 binary64) (.f64 x x)) (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/24 binary64)) (.f64 #s(literal -1/768 binary64) (pow.f64 x #s(literal 5 binary64))))) (fma.f64 (.f64 #s(literal 1/384 binary64) (pow.f64 x #s(literal 4 binary64))) (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/24 binary64)) (.f64 #s(literal 1/92160 binary64) (pow.f64 x #s(literal 7 binary64)))))) (.f64 (pow.f64 y #s(literal 6 binary64)) x)) (/.f64 (/.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/24 binary64)) x) (.f64 y y))))) #s(literal 1 binary64)) (fma.f64 (.f64 (.f64 x x) (/.f64 (-.f64 (.f64 (/.f64 (-.f64 (.f64 #s(literal -1/3840 binary64) (pow.f64 x #s(literal 5 binary64))) (fma.f64 (.f64 #s(literal -1/8 binary64) (.f64 x x)) (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/24 binary64)) (.f64 #s(literal -1/768 binary64) (pow.f64 x #s(literal 5 binary64))))) x) #s(literal -2 binary64)) (fma.f64 (.f64 (fma.f64 (/.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/24 binary64)) x) #s(literal -2 binary64) (.f64 #s(literal 1/24 binary64) (.f64 x x))) (.f64 x x)) #s(literal -1/24 binary64) (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/1920 binary64)))) (pow.f64 y #s(literal 6 binary64)))) #s(literal -1/24 binary64) (fma.f64 (/.f64 (.f64 (fma.f64 (/.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/24 binary64)) x) #s(literal -2 binary64) (.f64 #s(literal 1/24 binary64) (.f64 x x))) (.f64 x x)) (pow.f64 y #s(literal 4 binary64))) #s(literal -1/24 binary64) (fma.f64 #s(literal -1/24 binary64) (/.f64 (.f64 x x) (.f64 y y)) (fma.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal 6 binary64))) #s(literal -1/322560 binary64) (.f64 #s(literal 1/1920 binary64) (fma.f64 (pow.f64 x #s(literal 4 binary64)) (/.f64 (fma.f64 (/.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/24 binary64)) x) #s(literal -2 binary64) (.f64 #s(literal 1/24 binary64) (.f64 x x))) (pow.f64 y #s(literal 6 binary64))) (/.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64)))))))))))
#s(approx (tan (/ x (* y 2))) (neg.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) x (/.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/24 binary64)) (.f64 y y))) y)))
#s(approx (tan (/ x (* y 2))) (neg.f64 (/.f64 (-.f64 (fma.f64 #s(literal -1/2 binary64) x (fma.f64 #s(literal -1/3840 binary64) (/.f64 (pow.f64 x #s(literal 5 binary64)) (pow.f64 y #s(literal 4 binary64))) (/.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/48 binary64)) (.f64 y y)))) (fma.f64 (/.f64 (.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/24 binary64)) (.f64 x x)) (pow.f64 y #s(literal 4 binary64))) #s(literal -1/8 binary64) (fma.f64 #s(literal -1/768 binary64) (/.f64 (pow.f64 x #s(literal 5 binary64)) (pow.f64 y #s(literal 4 binary64))) (/.f64 (.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal 3 binary64))) (*.f64 y y))))) y)))
#s(approx (tan (/ x (* y 2))) (neg.f64 (/.f64 (-.f64 (fma.f64 #s(literal -1/2 binary64) x (fma.f64 #s(literal -1/3840 binary64) (/.f64 (pow.f64 x #s(literal 5 binary64)) (pow.f64 y #s(literal 4 binary64))) (fma.f64 #s(literal 1/645120 binary64) (/.f64 (pow.f64 x #s(literal 7 binary64)) (pow.f64 y #s(literal 6 binary64))) (/.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/48 binary64)) (.f64 y y))))) (fma.f64 (/.f64 (.f64 (-.f64 (.f64 #s(literal -1/3840 binary64) (pow.f64 x #s(literal 5 binary64))) (fma.f64 (.f64 #s(literal -1/8 binary64) (.f64 x x)) (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/24 binary64)) (.f64 #s(literal -1/768 binary64) (pow.f64 x #s(literal 5 binary64))))) (.f64 x x)) (pow.f64 y #s(literal 6 binary64))) #s(literal -1/8 binary64) (fma.f64 (/.f64 (.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/24 binary64)) (.f64 x x)) (pow.f64 y #s(literal 4 binary64))) #s(literal -1/8 binary64) (fma.f64 #s(literal -1/768 binary64) (/.f64 (pow.f64 x #s(literal 5 binary64)) (pow.f64 y #s(literal 4 binary64))) (fma.f64 #s(literal 1/92160 binary64) (/.f64 (pow.f64 x #s(literal 7 binary64)) (pow.f64 y #s(literal 6 binary64))) (fma.f64 (/.f64 (.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/24 binary64)) (pow.f64 x #s(literal 4 binary64))) (pow.f64 y #s(literal 6 binary64))) #s(literal 1/384 binary64) (/.f64 (.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal 3 binary64))) (.f64 y y)))))))) y)))
#s(approx (sin (/ x (* y 2))) (neg.f64 (/.f64 (fma.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (.f64 y y)) #s(literal 1/48 binary64) (.f64 #s(literal -1/2 binary64) x)) y)))
#s(approx (sin (/ x (* y 2))) (neg.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) x (fma.f64 #s(literal -1/3840 binary64) (/.f64 (pow.f64 x #s(literal 5 binary64)) (pow.f64 y #s(literal 4 binary64))) (/.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/48 binary64)) (.f64 y y)))) y)))
#s(approx (sin (/ x (* y 2))) (neg.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) x (fma.f64 #s(literal -1/3840 binary64) (/.f64 (pow.f64 x #s(literal 5 binary64)) (pow.f64 y #s(literal 4 binary64))) (fma.f64 #s(literal 1/645120 binary64) (/.f64 (pow.f64 x #s(literal 7 binary64)) (pow.f64 y #s(literal 6 binary64))) (/.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/48 binary64)) (.f64 y y))))) y)))

eval9.0ms (0.3%)

Memory: -1.2MiB live, 6.2MiB allocated; 0ms collecting garbage
Compiler: Compiled 2 487 to 417 computations (83.2% saved)

prune10.0ms (0.3%)

Memory

-0.2MiB live, 7.8MiB allocated; 1ms collecting garbage

Pruning

14 alts after pruning (14 fresh and 0 done)

	Pruned	Kept	Total
New	56	14	70
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	57	14	71

Accuracy

62.5%

Counts

71 → 14

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	7.6%	(/.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)))))
	7.5%	(/.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)))))
	44.6%	(/.f64 (/.f64 (sin.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64))) (cos.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
	44.6%	(/.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)))))
	45.9%	(/.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)))))
	44.7%	(/.f64 (tan.f64 (/.f64 x (+.f64 y y))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
	33.7%	(/.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)))
	40.5%	(/.f64 (tan.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) #s(approx (sin (/ x ( y 2))) (*.f64 (/.f64 x y) #s(literal 1/2 binary64))))
	7.4%	(/.f64 (tan.f64 (+.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64)) (PI.f64))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
▶	7.3%	(/.f64 (tan.f64 (+.f64 (+.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64)) (PI.f64)) (PI.f64))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
	40.1%	(/.f64 #s(approx (tan (/ x (* y 2))) (.f64 (/.f64 x y) #s(literal 1/2 binary64))) (sin.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))))
▶	46.7%	#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (fma.f64 (/.f64 (.f64 x x) (.f64 y y)) #s(literal 1/8 binary64) #s(literal 1 binary64)))
▶	56.5%	#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)))
▶	56.7%	#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(literal 1 binary64))

Compiler

Compiled 558 to 392 computations (29.7% saved)

series57.0ms (1.7%)

Memory

4.2MiB live, 20.1MiB allocated; 2ms collecting garbage

Counts

32 → 132

Calls

Call 1

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

Outputs
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(hole binary64 1))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(hole binary64 (+ 1 (* 1/8 (/ (pow x 2) (pow y 2))))))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(hole binary64 (+ 1 (* (pow x 2) (+ (* 5/384 (/ (pow x 2) (pow y 4))) (* 1/8 (/ 1 (pow y 2))))))))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(hole binary64 (+ 1 (* (pow x 2) (+ (* (pow x 2) (+ (* 61/46080 (/ (pow x 2) (pow y 6))) (* 5/384 (/ 1 (pow y 4))))) (* 1/8 (/ 1 (pow y 2))))))))
#s(approx (+ (* (/ (* x x) (* y y)) 1/8) 1) #s(hole binary64 1))
#s(approx (+ (* (/ (* x x) (* y y)) 1/8) 1) #s(hole binary64 (+ 1 (* 1/8 (/ (pow x 2) (pow y 2))))))
#s(approx (/ (* x x) (* y y)) #s(hole binary64 (/ (pow x 2) (pow y 2))))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx x #s(hole binary64 x))
#s(approx (pow (cos (* (/ x y) 1/2)) -1) #s(hole binary64 1))
#s(approx (pow (cos (* (/ x y) 1/2)) -1) #s(hole binary64 (+ 1 (* 1/8 (/ (pow x 2) (pow y 2))))))
#s(approx (pow (cos (* (/ x y) 1/2)) -1) #s(hole binary64 (+ 1 (* (pow x 2) (+ (* 5/384 (/ (pow x 2) (pow y 4))) (* 1/8 (/ 1 (pow y 2))))))))
#s(approx (pow (cos (* (/ x y) 1/2)) -1) #s(hole binary64 (+ 1 (* (pow x 2) (+ (* (pow x 2) (+ (* 61/46080 (/ (pow x 2) (pow y 6))) (* 5/384 (/ 1 (pow y 4))))) (* 1/8 (/ 1 (pow y 2))))))))
#s(approx (cos (* (/ x y) 1/2)) #s(hole binary64 1))
#s(approx (cos (* (/ x y) 1/2)) #s(hole binary64 (+ 1 (* -1/8 (/ (pow x 2) (pow y 2))))))
#s(approx (cos (* (/ x y) 1/2)) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 1/384 (/ (pow x 2) (pow y 4))) (* 1/8 (/ 1 (pow y 2))))))))
#s(approx (cos (* (/ x y) 1/2)) #s(hole binary64 (+ 1 (* (pow x 2) (- (* (pow x 2) (+ (* -1/46080 (/ (pow x 2) (pow y 6))) (* 1/384 (/ 1 (pow y 4))))) (* 1/8 (/ 1 (pow y 2))))))))
#s(approx (* (/ x y) 1/2) #s(hole binary64 (* 1/2 (/ x y))))
#s(approx (/ x y) #s(hole binary64 (/ x y)))
#s(approx (/ (tan (+ (+ (/ (/ x y) 2) (PI)) (PI))) (sin (/ x (* y 2)))) #s(hole binary64 (* 2 (/ (* y (sin (* 2 (PI)))) (* x (cos (* 2 (PI))))))))
#s(approx (/ (tan (+ (+ (/ (/ x y) 2) (PI)) (PI))) (sin (/ x (* y 2)))) #s(hole binary64 (/ (+ (* 2 (* x (* y (- (* 1/2 (/ 1 y)) (* -1/2 (/ (pow (sin (* 2 (PI))) 2) (* y (pow (cos (* 2 (PI))) 2)))))))) (* 2 (/ (* y (sin (* 2 (PI)))) (cos (* 2 (PI)))))) x)))
#s(approx (/ (tan (+ (+ (/ (/ x y) 2) (PI)) (PI))) (sin (/ x (* y 2)))) #s(hole binary64 (/ (+ (* 2 (/ (* y (sin (* 2 (PI)))) (cos (* 2 (PI))))) (* x (+ (* 2 (* y (- (* 1/2 (/ 1 y)) (* -1/2 (/ (pow (sin (* 2 (PI))) 2) (* y (pow (cos (* 2 (PI))) 2))))))) (* x (- (/ (* (sin (* 2 (PI))) (- (* 1/2 (/ 1 y)) (* -1/2 (/ (pow (sin (* 2 (PI))) 2) (* y (pow (cos (* 2 (PI))) 2)))))) (cos (* 2 (PI)))) (* -1/12 (/ (sin (* 2 (PI))) (* y (cos (* 2 (PI))))))))))) x)))
#s(approx (/ (tan (+ (+ (/ (/ x y) 2) (PI)) (PI))) (sin (/ x (* y 2)))) #s(hole binary64 (/ (+ (* 2 (/ (* y (sin (* 2 (PI)))) (cos (* 2 (PI))))) (* x (+ (* 2 (* y (- (* 1/2 (/ 1 y)) (* -1/2 (/ (pow (sin (* 2 (PI))) 2) (* y (pow (cos (* 2 (PI))) 2))))))) (* x (- (+ (* x (- (* -2 (* y (+ (* -1/4 (/ (* (pow (sin (* 2 (PI))) 2) (- (* 1/2 (/ 1 y)) (* -1/2 (/ (pow (sin (* 2 (PI))) 2) (* y (pow (cos (* 2 (PI))) 2)))))) (* (pow y 2) (pow (cos (* 2 (PI))) 2)))) (+ (* -1/8 (/ (- (* 1/2 (/ 1 y)) (* -1/2 (/ (pow (sin (* 2 (PI))) 2) (* y (pow (cos (* 2 (PI))) 2))))) (pow y 2))) (+ (* 1/48 (/ 1 (pow y 3))) (* 1/48 (/ (pow (sin (* 2 (PI))) 2) (* (pow y 3) (pow (cos (* 2 (PI))) 2))))))))) (* -1/12 (/ (- (* 1/2 (/ 1 y)) (* -1/2 (/ (pow (sin (* 2 (PI))) 2) (* y (pow (cos (* 2 (PI))) 2))))) y)))) (/ (* (sin (* 2 (PI))) (- (* 1/2 (/ 1 y)) (* -1/2 (/ (pow (sin (* 2 (PI))) 2) (* y (pow (cos (* 2 (PI))) 2)))))) (cos (* 2 (PI))))) (* -1/12 (/ (sin (* 2 (PI))) (* y (cos (* 2 (PI))))))))))) x)))
#s(approx (tan (+ (+ (/ (/ x y) 2) (PI)) (PI))) #s(hole binary64 (/ (sin (* 2 (PI))) (cos (* 2 (PI))))))
#s(approx (tan (+ (+ (/ (/ x y) 2) (PI)) (PI))) #s(hole binary64 (+ (* x (- (* 1/2 (/ 1 y)) (* -1/2 (/ (pow (sin (* 2 (PI))) 2) (* y (pow (cos (* 2 (PI))) 2)))))) (/ (sin (* 2 (PI))) (cos (* 2 (PI)))))))
#s(approx (tan (+ (+ (/ (/ x y) 2) (PI)) (PI))) #s(hole binary64 (+ (* x (- (+ (* 1/2 (/ 1 y)) (* 1/2 (/ (* x (* (sin (* 2 (PI))) (- (* 1/2 (/ 1 y)) (* -1/2 (/ (pow (sin (* 2 (PI))) 2) (* y (pow (cos (* 2 (PI))) 2))))))) (* y (cos (* 2 (PI))))))) (* -1/2 (/ (pow (sin (* 2 (PI))) 2) (* y (pow (cos (* 2 (PI))) 2)))))) (/ (sin (* 2 (PI))) (cos (* 2 (PI)))))))
#s(approx (tan (+ (+ (/ (/ x y) 2) (PI)) (PI))) #s(hole binary64 (+ (* x (- (+ (* 1/2 (/ 1 y)) (* x (- (* -1 (* x (+ (* -1/4 (/ (* (pow (sin (* 2 (PI))) 2) (- (* 1/2 (/ 1 y)) (* -1/2 (/ (pow (sin (* 2 (PI))) 2) (* y (pow (cos (* 2 (PI))) 2)))))) (* (pow y 2) (pow (cos (* 2 (PI))) 2)))) (+ (* -1/8 (/ (- (* 1/2 (/ 1 y)) (* -1/2 (/ (pow (sin (* 2 (PI))) 2) (* y (pow (cos (* 2 (PI))) 2))))) (pow y 2))) (+ (* 1/48 (/ 1 (pow y 3))) (* 1/48 (/ (pow (sin (* 2 (PI))) 2) (* (pow y 3) (pow (cos (* 2 (PI))) 2))))))))) (* -1/2 (/ (* (sin (* 2 (PI))) (- (* 1/2 (/ 1 y)) (* -1/2 (/ (pow (sin (* 2 (PI))) 2) (* y (pow (cos (* 2 (PI))) 2)))))) (* y (cos (* 2 (PI))))))))) (* -1/2 (/ (pow (sin (* 2 (PI))) 2) (* y (pow (cos (* 2 (PI))) 2)))))) (/ (sin (* 2 (PI))) (cos (* 2 (PI)))))))
#s(approx (+ (+ (/ (/ x y) 2) (PI)) (PI)) #s(hole binary64 (* 2 (PI))))
#s(approx (+ (+ (/ (/ x y) 2) (PI)) (PI)) #s(hole binary64 (+ (* 1/2 (/ x y)) (* 2 (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))))
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#s(approx (/ (tan (+ (+ (/ (/ x y) 2) (PI)) (PI))) (sin (/ x (* y 2)))) #s(hole binary64 (* -1 (* y (+ (* -2 (/ (sin (* 2 (PI))) (* x (cos (* 2 (PI)))))) (* 2 (/ (- (* -1/2 x) (* 1/2 (/ (* x (pow (sin (* 2 (PI))) 2)) (pow (cos (* 2 (PI))) 2)))) (* x y))))))))
#s(approx (/ (tan (+ (+ (/ (/ x y) 2) (PI)) (PI))) (sin (/ x (* y 2)))) #s(hole binary64 (* -1 (* y (+ (* -2 (/ (sin (* 2 (PI))) (* x (cos (* 2 (PI)))))) (* -1 (/ (+ (* -2 (/ (- (* -1/2 x) (* 1/2 (/ (* x (pow (sin (* 2 (PI))) 2)) (pow (cos (* 2 (PI))) 2)))) x)) (* -1 (/ (- (/ (* (sin (* 2 (PI))) (- (* -1/2 x) (* 1/2 (/ (* x (pow (sin (* 2 (PI))) 2)) (pow (cos (* 2 (PI))) 2))))) (cos (* 2 (PI)))) (* 1/12 (/ (* x (sin (* 2 (PI)))) (cos (* 2 (PI)))))) y))) y)))))))
#s(approx (/ (tan (+ (+ (/ (/ x y) 2) (PI)) (PI))) (sin (/ x (* y 2)))) #s(hole binary64 (* -1 (* y (+ (* -2 (/ (sin (* 2 (PI))) (* x (cos (* 2 (PI)))))) (* -1 (/ (+ (* -2 (/ (- (* -1/2 x) (* 1/2 (/ (* x (pow (sin (* 2 (PI))) 2)) (pow (cos (* 2 (PI))) 2)))) x)) (* -1 (/ (- (+ (* -1 (/ (- (* -2 (/ (- (* 1/48 (pow x 3)) (+ (* -1/4 (/ (* (pow x 2) (* (pow (sin (* 2 (PI))) 2) (- (* -1/2 x) (* 1/2 (/ (* x (pow (sin (* 2 (PI))) 2)) (pow (cos (* 2 (PI))) 2)))))) (pow (cos (* 2 (PI))) 2))) (+ (* -1/8 (* (pow x 2) (- (* -1/2 x) (* 1/2 (/ (* x (pow (sin (* 2 (PI))) 2)) (pow (cos (* 2 (PI))) 2)))))) (* -1/48 (/ (* (pow x 3) (pow (sin (* 2 (PI))) 2)) (pow (cos (* 2 (PI))) 2)))))) x)) (* 1/12 (* x (- (* -1/2 x) (* 1/2 (/ (* x (pow (sin (* 2 (PI))) 2)) (pow (cos (* 2 (PI))) 2))))))) y)) (/ (* (sin (* 2 (PI))) (- (* -1/2 x) (* 1/2 (/ (* x (pow (sin (* 2 (PI))) 2)) (pow (cos (* 2 (PI))) 2))))) (cos (* 2 (PI))))) (* 1/12 (/ (* x (sin (* 2 (PI)))) (cos (* 2 (PI)))))) y))) y)))))))
#s(approx (tan (+ (+ (/ (/ x y) 2) (PI)) (PI))) #s(hole binary64 (+ (* -1 (/ (- (* -1/2 x) (* 1/2 (/ (* x (pow (sin (* 2 (PI))) 2)) (pow (cos (* 2 (PI))) 2)))) y)) (/ (sin (* 2 (PI))) (cos (* 2 (PI)))))))
#s(approx (tan (+ (+ (/ (/ x y) 2) (PI)) (PI))) #s(hole binary64 (+ (* -1 (/ (- (+ (* -1/2 x) (* 1/2 (/ (* x (* (sin (* 2 (PI))) (- (* -1/2 x) (* 1/2 (/ (* x (pow (sin (* 2 (PI))) 2)) (pow (cos (* 2 (PI))) 2)))))) (* y (cos (* 2 (PI))))))) (* 1/2 (/ (* x (pow (sin (* 2 (PI))) 2)) (pow (cos (* 2 (PI))) 2)))) y)) (/ (sin (* 2 (PI))) (cos (* 2 (PI)))))))
#s(approx (tan (+ (+ (/ (/ x y) 2) (PI)) (PI))) #s(hole binary64 (+ (* -1 (/ (- (+ (* -1 (/ (- (* -1 (/ (- (* 1/48 (pow x 3)) (+ (* -1/4 (/ (* (pow x 2) (* (pow (sin (* 2 (PI))) 2) (- (* -1/2 x) (* 1/2 (/ (* x (pow (sin (* 2 (PI))) 2)) (pow (cos (* 2 (PI))) 2)))))) (pow (cos (* 2 (PI))) 2))) (+ (* -1/8 (* (pow x 2) (- (* -1/2 x) (* 1/2 (/ (* x (pow (sin (* 2 (PI))) 2)) (pow (cos (* 2 (PI))) 2)))))) (* -1/48 (/ (* (pow x 3) (pow (sin (* 2 (PI))) 2)) (pow (cos (* 2 (PI))) 2)))))) y)) (* 1/2 (/ (* x (* (sin (* 2 (PI))) (- (* -1/2 x) (* 1/2 (/ (* x (pow (sin (* 2 (PI))) 2)) (pow (cos (* 2 (PI))) 2)))))) (cos (* 2 (PI)))))) y)) (* -1/2 x)) (* 1/2 (/ (* x (pow (sin (* 2 (PI))) 2)) (pow (cos (* 2 (PI))) 2)))) y)) (/ (sin (* 2 (PI))) (cos (* 2 (PI)))))))
#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 (/ (- 1 (cos (/ x y))) (sin (/ x y))) #s(hole binary64 (* -1 (/ (- (+ (* -1/2 x) (* 1/24 (/ (pow x 3) (pow y 2)))) (* 1/12 (/ (pow x 3) (pow y 2)))) y))))
#s(approx (/ (- 1 (cos (/ x y))) (sin (/ x y))) #s(hole binary64 (* -1 (/ (- (+ (* -1/2 x) (+ (* -1/720 (/ (pow x 5) (pow y 4))) (* 1/24 (/ (pow x 3) (pow y 2))))) (+ (* -1/6 (/ (* (pow x 2) (- (* 1/24 (pow x 3)) (* 1/12 (pow x 3)))) (pow y 4))) (+ (* -1/240 (/ (pow x 5) (pow y 4))) (* 1/12 (/ (pow x 3) (pow y 2)))))) y))))
#s(approx (/ (- 1 (cos (/ x y))) (sin (/ x y))) #s(hole binary64 (* -1 (/ (- (+ (* -1/2 x) (+ (* -1/720 (/ (pow x 5) (pow y 4))) (+ (* 1/40320 (/ (pow x 7) (pow y 6))) (* 1/24 (/ (pow x 3) (pow y 2)))))) (+ (* -1/6 (/ (* (pow x 2) (- (* -1/720 (pow x 5)) (+ (* -1/6 (* (pow x 2) (- (* 1/24 (pow x 3)) (* 1/12 (pow x 3))))) (* -1/240 (pow x 5))))) (pow y 6))) (+ (* -1/6 (/ (* (pow x 2) (- (* 1/24 (pow x 3)) (* 1/12 (pow x 3)))) (pow y 4))) (+ (* -1/240 (/ (pow x 5) (pow y 4))) (+ (* 1/10080 (/ (pow x 7) (pow y 6))) (+ (* 1/120 (/ (* (pow x 4) (- (* 1/24 (pow x 3)) (* 1/12 (pow x 3)))) (pow y 6))) (* 1/12 (/ (pow x 3) (pow y 2))))))))) y))))
#s(approx (sin (/ x y)) #s(hole binary64 (* -1 (/ (+ (* -1 x) (* 1/6 (/ (pow x 3) (pow y 2)))) y))))
#s(approx (sin (/ x y)) #s(hole binary64 (* -1 (/ (+ (* -1 x) (+ (* -1/120 (/ (pow x 5) (pow y 4))) (* 1/6 (/ (pow x 3) (pow y 2))))) y))))
#s(approx (sin (/ x y)) #s(hole binary64 (* -1 (/ (+ (* -1 x) (+ (* -1/120 (/ (pow x 5) (pow y 4))) (+ (* 1/5040 (/ (pow x 7) (pow y 6))) (* 1/6 (/ (pow x 3) (pow y 2)))))) y))))

Calls

6 calls:

Time	Variable		Point	Expression
15.0ms	y	@	-inf	((/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) 1 (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (+ (* (/ (* x x) (* y y)) 1/8) 1) (/ (* x x) (* y y)) (* x x) x (* y y) y 1/8 (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (pow (cos (* (/ x y) 1/2)) -1) (cos (* (/ x y) 1/2)) (* (/ x y) 1/2) (/ x y) 1/2 -1 (/ (tan (+ (+ (/ (/ x y) 2) (PI)) (PI))) (sin (/ x (* y 2)))) (tan (+ (+ (/ (/ x y) 2) (PI)) (PI))) (+ (+ (/ (/ x y) 2) (PI)) (PI)) (+ (/ (/ x y) 2) (PI)) (/ (/ x y) 2) 2 (PI) (sin (/ x (* y 2))) (/ x (* y 2)) (* y 2) (/ (/ (- 1 (cos (/ x y))) (sin (/ x y))) (sin (/ x (* y 2)))) (/ (- 1 (cos (/ x y))) (sin (/ x y))) (- 1 (cos (/ x y))) (cos (/ x y)) (sin (/ x y)))
11.0ms	y	@	inf	((/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) 1 (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (+ (* (/ (* x x) (* y y)) 1/8) 1) (/ (* x x) (* y y)) (* x x) x (* y y) y 1/8 (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (pow (cos (* (/ x y) 1/2)) -1) (cos (* (/ x y) 1/2)) (* (/ x y) 1/2) (/ x y) 1/2 -1 (/ (tan (+ (+ (/ (/ x y) 2) (PI)) (PI))) (sin (/ x (* y 2)))) (tan (+ (+ (/ (/ x y) 2) (PI)) (PI))) (+ (+ (/ (/ x y) 2) (PI)) (PI)) (+ (/ (/ x y) 2) (PI)) (/ (/ x y) 2) 2 (PI) (sin (/ x (* y 2))) (/ x (* y 2)) (* y 2) (/ (/ (- 1 (cos (/ x y))) (sin (/ x y))) (sin (/ x (* y 2)))) (/ (- 1 (cos (/ x y))) (sin (/ x y))) (- 1 (cos (/ x y))) (cos (/ x y)) (sin (/ x y)))
11.0ms	x	@	0	((/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) 1 (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (+ (* (/ (* x x) (* y y)) 1/8) 1) (/ (* x x) (* y y)) (* x x) x (* y y) y 1/8 (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (pow (cos (* (/ x y) 1/2)) -1) (cos (* (/ x y) 1/2)) (* (/ x y) 1/2) (/ x y) 1/2 -1 (/ (tan (+ (+ (/ (/ x y) 2) (PI)) (PI))) (sin (/ x (* y 2)))) (tan (+ (+ (/ (/ x y) 2) (PI)) (PI))) (+ (+ (/ (/ x y) 2) (PI)) (PI)) (+ (/ (/ x y) 2) (PI)) (/ (/ x y) 2) 2 (PI) (sin (/ x (* y 2))) (/ x (* y 2)) (* y 2) (/ (/ (- 1 (cos (/ x y))) (sin (/ x y))) (sin (/ x (* y 2)))) (/ (- 1 (cos (/ x y))) (sin (/ x y))) (- 1 (cos (/ x y))) (cos (/ x y)) (sin (/ x y)))
6.0ms	x	@	inf	((/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) 1 (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (+ (* (/ (* x x) (* y y)) 1/8) 1) (/ (* x x) (* y y)) (* x x) x (* y y) y 1/8 (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (pow (cos (* (/ x y) 1/2)) -1) (cos (* (/ x y) 1/2)) (* (/ x y) 1/2) (/ x y) 1/2 -1 (/ (tan (+ (+ (/ (/ x y) 2) (PI)) (PI))) (sin (/ x (* y 2)))) (tan (+ (+ (/ (/ x y) 2) (PI)) (PI))) (+ (+ (/ (/ x y) 2) (PI)) (PI)) (+ (/ (/ x y) 2) (PI)) (/ (/ x y) 2) 2 (PI) (sin (/ x (* y 2))) (/ x (* y 2)) (* y 2) (/ (/ (- 1 (cos (/ x y))) (sin (/ x y))) (sin (/ x (* y 2)))) (/ (- 1 (cos (/ x y))) (sin (/ x y))) (- 1 (cos (/ x y))) (cos (/ x y)) (sin (/ x y)))
5.0ms	x	@	-inf	((/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) 1 (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (+ (* (/ (* x x) (* y y)) 1/8) 1) (/ (* x x) (* y y)) (* x x) x (* y y) y 1/8 (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (pow (cos (* (/ x y) 1/2)) -1) (cos (* (/ x y) 1/2)) (* (/ x y) 1/2) (/ x y) 1/2 -1 (/ (tan (+ (+ (/ (/ x y) 2) (PI)) (PI))) (sin (/ x (* y 2)))) (tan (+ (+ (/ (/ x y) 2) (PI)) (PI))) (+ (+ (/ (/ x y) 2) (PI)) (PI)) (+ (/ (/ x y) 2) (PI)) (/ (/ x y) 2) 2 (PI) (sin (/ x (* y 2))) (/ x (* y 2)) (* y 2) (/ (/ (- 1 (cos (/ x y))) (sin (/ x y))) (sin (/ x (* y 2)))) (/ (- 1 (cos (/ x y))) (sin (/ x y))) (- 1 (cos (/ x y))) (cos (/ x y)) (sin (/ x y)))

rewrite213.0ms (6.2%)

Memory

-7.5MiB live, 56.9MiB allocated; 13ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1037	7083
0	1077	6218
1	6735	5368
0	8821	5109

Stop Event

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

Counts

164 → 257

Calls

Call 1

Inputs
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(literal 1 binary64))
#s(literal 1 binary64)
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (fma.f64 (/.f64 (.f64 x x) (.f64 y y)) #s(literal 1/8 binary64) #s(literal 1 binary64)))
(fma.f64 (/.f64 (.f64 x x) (.f64 y y)) #s(literal 1/8 binary64) #s(literal 1 binary64))
(/.f64 (.f64 x x) (.f64 y y))
(*.f64 x x)
x
(*.f64 y y)
y
#s(literal 1/8 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)))
(*.f64 (/.f64 x y) #s(literal 1/2 binary64))
(/.f64 x y)
#s(literal 1/2 binary64)
#s(literal -1 binary64)
(/.f64 (tan.f64 (+.f64 (+.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64)) (PI.f64)) (PI.f64))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
(tan.f64 (+.f64 (+.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64)) (PI.f64)) (PI.f64)))
(+.f64 (+.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64)) (PI.f64)) (PI.f64))
(+.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64)) (PI.f64))
(/.f64 (/.f64 x y) #s(literal 2 binary64))
#s(literal 2 binary64)
(PI.f64)
(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 (-.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x y))) (sin.f64 (/.f64 x y))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x y))) (sin.f64 (/.f64 x y)))
(-.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x y)))
(cos.f64 (/.f64 x y))
(sin.f64 (/.f64 x y))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(hole binary64 1))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(hole binary64 (+ 1 (* 1/8 (/ (pow x 2) (pow y 2))))))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(hole binary64 (+ 1 (* (pow x 2) (+ (* 5/384 (/ (pow x 2) (pow y 4))) (* 1/8 (/ 1 (pow y 2))))))))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(hole binary64 (+ 1 (* (pow x 2) (+ (* (pow x 2) (+ (* 61/46080 (/ (pow x 2) (pow y 6))) (* 5/384 (/ 1 (pow y 4))))) (* 1/8 (/ 1 (pow y 2))))))))
#s(approx (+ (* (/ (* x x) (* y y)) 1/8) 1) #s(hole binary64 1))
#s(approx (+ (* (/ (* x x) (* y y)) 1/8) 1) #s(hole binary64 (+ 1 (* 1/8 (/ (pow x 2) (pow y 2))))))
#s(approx (/ (* x x) (* y y)) #s(hole binary64 (/ (pow x 2) (pow y 2))))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx x #s(hole binary64 x))
#s(approx (pow (cos (* (/ x y) 1/2)) -1) #s(hole binary64 1))
#s(approx (pow (cos (* (/ x y) 1/2)) -1) #s(hole binary64 (+ 1 (* 1/8 (/ (pow x 2) (pow y 2))))))
#s(approx (pow (cos (* (/ x y) 1/2)) -1) #s(hole binary64 (+ 1 (* (pow x 2) (+ (* 5/384 (/ (pow x 2) (pow y 4))) (* 1/8 (/ 1 (pow y 2))))))))
#s(approx (pow (cos (* (/ x y) 1/2)) -1) #s(hole binary64 (+ 1 (* (pow x 2) (+ (* (pow x 2) (+ (* 61/46080 (/ (pow x 2) (pow y 6))) (* 5/384 (/ 1 (pow y 4))))) (* 1/8 (/ 1 (pow y 2))))))))
#s(approx (cos (* (/ x y) 1/2)) #s(hole binary64 1))
#s(approx (cos (* (/ x y) 1/2)) #s(hole binary64 (+ 1 (* -1/8 (/ (pow x 2) (pow y 2))))))
#s(approx (cos (* (/ x y) 1/2)) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 1/384 (/ (pow x 2) (pow y 4))) (* 1/8 (/ 1 (pow y 2))))))))
#s(approx (cos (* (/ x y) 1/2)) #s(hole binary64 (+ 1 (* (pow x 2) (- (* (pow x 2) (+ (* -1/46080 (/ (pow x 2) (pow y 6))) (* 1/384 (/ 1 (pow y 4))))) (* 1/8 (/ 1 (pow y 2))))))))
#s(approx (* (/ x y) 1/2) #s(hole binary64 (* 1/2 (/ x y))))
#s(approx (/ x y) #s(hole binary64 (/ x y)))
#s(approx (/ (tan (+ (+ (/ (/ x y) 2) (PI)) (PI))) (sin (/ x (* y 2)))) #s(hole binary64 (* 2 (/ (* y (sin (* 2 (PI)))) (* x (cos (* 2 (PI))))))))
#s(approx (/ (tan (+ (+ (/ (/ x y) 2) (PI)) (PI))) (sin (/ x (* y 2)))) #s(hole binary64 (/ (+ (* 2 (* x (* y (- (* 1/2 (/ 1 y)) (* -1/2 (/ (pow (sin (* 2 (PI))) 2) (* y (pow (cos (* 2 (PI))) 2)))))))) (* 2 (/ (* y (sin (* 2 (PI)))) (cos (* 2 (PI)))))) x)))
#s(approx (/ (tan (+ (+ (/ (/ x y) 2) (PI)) (PI))) (sin (/ x (* y 2)))) #s(hole binary64 (/ (+ (* 2 (/ (* y (sin (* 2 (PI)))) (cos (* 2 (PI))))) (* x (+ (* 2 (* y (- (* 1/2 (/ 1 y)) (* -1/2 (/ (pow (sin (* 2 (PI))) 2) (* y (pow (cos (* 2 (PI))) 2))))))) (* x (- (/ (* (sin (* 2 (PI))) (- (* 1/2 (/ 1 y)) (* -1/2 (/ (pow (sin (* 2 (PI))) 2) (* y (pow (cos (* 2 (PI))) 2)))))) (cos (* 2 (PI)))) (* -1/12 (/ (sin (* 2 (PI))) (* y (cos (* 2 (PI))))))))))) x)))
#s(approx (/ (tan (+ (+ (/ (/ x y) 2) (PI)) (PI))) (sin (/ x (* y 2)))) #s(hole binary64 (/ (+ (* 2 (/ (* y (sin (* 2 (PI)))) (cos (* 2 (PI))))) (* x (+ (* 2 (* y (- (* 1/2 (/ 1 y)) (* -1/2 (/ (pow (sin (* 2 (PI))) 2) (* y (pow (cos (* 2 (PI))) 2))))))) (* x (- (+ (* x (- (* -2 (* y (+ (* -1/4 (/ (* (pow (sin (* 2 (PI))) 2) (- (* 1/2 (/ 1 y)) (* -1/2 (/ (pow (sin (* 2 (PI))) 2) (* y (pow (cos (* 2 (PI))) 2)))))) (* (pow y 2) (pow (cos (* 2 (PI))) 2)))) (+ (* -1/8 (/ (- (* 1/2 (/ 1 y)) (* -1/2 (/ (pow (sin (* 2 (PI))) 2) (* y (pow (cos (* 2 (PI))) 2))))) (pow y 2))) (+ (* 1/48 (/ 1 (pow y 3))) (* 1/48 (/ (pow (sin (* 2 (PI))) 2) (* (pow y 3) (pow (cos (* 2 (PI))) 2))))))))) (* -1/12 (/ (- (* 1/2 (/ 1 y)) (* -1/2 (/ (pow (sin (* 2 (PI))) 2) (* y (pow (cos (* 2 (PI))) 2))))) y)))) (/ (* (sin (* 2 (PI))) (- (* 1/2 (/ 1 y)) (* -1/2 (/ (pow (sin (* 2 (PI))) 2) (* y (pow (cos (* 2 (PI))) 2)))))) (cos (* 2 (PI))))) (* -1/12 (/ (sin (* 2 (PI))) (* y (cos (* 2 (PI))))))))))) x)))
#s(approx (tan (+ (+ (/ (/ x y) 2) (PI)) (PI))) #s(hole binary64 (/ (sin (* 2 (PI))) (cos (* 2 (PI))))))
#s(approx (tan (+ (+ (/ (/ x y) 2) (PI)) (PI))) #s(hole binary64 (+ (* x (- (* 1/2 (/ 1 y)) (* -1/2 (/ (pow (sin (* 2 (PI))) 2) (* y (pow (cos (* 2 (PI))) 2)))))) (/ (sin (* 2 (PI))) (cos (* 2 (PI)))))))
#s(approx (tan (+ (+ (/ (/ x y) 2) (PI)) (PI))) #s(hole binary64 (+ (* x (- (+ (* 1/2 (/ 1 y)) (* 1/2 (/ (* x (* (sin (* 2 (PI))) (- (* 1/2 (/ 1 y)) (* -1/2 (/ (pow (sin (* 2 (PI))) 2) (* y (pow (cos (* 2 (PI))) 2))))))) (* y (cos (* 2 (PI))))))) (* -1/2 (/ (pow (sin (* 2 (PI))) 2) (* y (pow (cos (* 2 (PI))) 2)))))) (/ (sin (* 2 (PI))) (cos (* 2 (PI)))))))
#s(approx (tan (+ (+ (/ (/ x y) 2) (PI)) (PI))) #s(hole binary64 (+ (* x (- (+ (* 1/2 (/ 1 y)) (* x (- (* -1 (* x (+ (* -1/4 (/ (* (pow (sin (* 2 (PI))) 2) (- (* 1/2 (/ 1 y)) (* -1/2 (/ (pow (sin (* 2 (PI))) 2) (* y (pow (cos (* 2 (PI))) 2)))))) (* (pow y 2) (pow (cos (* 2 (PI))) 2)))) (+ (* -1/8 (/ (- (* 1/2 (/ 1 y)) (* -1/2 (/ (pow (sin (* 2 (PI))) 2) (* y (pow (cos (* 2 (PI))) 2))))) (pow y 2))) (+ (* 1/48 (/ 1 (pow y 3))) (* 1/48 (/ (pow (sin (* 2 (PI))) 2) (* (pow y 3) (pow (cos (* 2 (PI))) 2))))))))) (* -1/2 (/ (* (sin (* 2 (PI))) (- (* 1/2 (/ 1 y)) (* -1/2 (/ (pow (sin (* 2 (PI))) 2) (* y (pow (cos (* 2 (PI))) 2)))))) (* y (cos (* 2 (PI))))))))) (* -1/2 (/ (pow (sin (* 2 (PI))) 2) (* y (pow (cos (* 2 (PI))) 2)))))) (/ (sin (* 2 (PI))) (cos (* 2 (PI)))))))
#s(approx (+ (+ (/ (/ x y) 2) (PI)) (PI)) #s(hole binary64 (* 2 (PI))))
#s(approx (+ (+ (/ (/ x y) 2) (PI)) (PI)) #s(hole binary64 (+ (* 1/2 (/ x y)) (* 2 (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 (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))))))
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#s(approx (/ (tan (+ (+ (/ (/ x y) 2) (PI)) (PI))) (sin (/ x (* y 2)))) #s(hole binary64 (* -1 (* y (+ (* -2 (/ (sin (* 2 (PI))) (* x (cos (* 2 (PI)))))) (* -1 (/ (+ (* -2 (/ (- (* -1/2 x) (* 1/2 (/ (* x (pow (sin (* 2 (PI))) 2)) (pow (cos (* 2 (PI))) 2)))) x)) (* -1 (/ (- (/ (* (sin (* 2 (PI))) (- (* -1/2 x) (* 1/2 (/ (* x (pow (sin (* 2 (PI))) 2)) (pow (cos (* 2 (PI))) 2))))) (cos (* 2 (PI)))) (* 1/12 (/ (* x (sin (* 2 (PI)))) (cos (* 2 (PI)))))) y))) y)))))))
#s(approx (/ (tan (+ (+ (/ (/ x y) 2) (PI)) (PI))) (sin (/ x (* y 2)))) #s(hole binary64 (* -1 (* y (+ (* -2 (/ (sin (* 2 (PI))) (* x (cos (* 2 (PI)))))) (* -1 (/ (+ (* -2 (/ (- (* -1/2 x) (* 1/2 (/ (* x (pow (sin (* 2 (PI))) 2)) (pow (cos (* 2 (PI))) 2)))) x)) (* -1 (/ (- (+ (* -1 (/ (- (* -2 (/ (- (* 1/48 (pow x 3)) (+ (* -1/4 (/ (* (pow x 2) (* (pow (sin (* 2 (PI))) 2) (- (* -1/2 x) (* 1/2 (/ (* x (pow (sin (* 2 (PI))) 2)) (pow (cos (* 2 (PI))) 2)))))) (pow (cos (* 2 (PI))) 2))) (+ (* -1/8 (* (pow x 2) (- (* -1/2 x) (* 1/2 (/ (* x (pow (sin (* 2 (PI))) 2)) (pow (cos (* 2 (PI))) 2)))))) (* -1/48 (/ (* (pow x 3) (pow (sin (* 2 (PI))) 2)) (pow (cos (* 2 (PI))) 2)))))) x)) (* 1/12 (* x (- (* -1/2 x) (* 1/2 (/ (* x (pow (sin (* 2 (PI))) 2)) (pow (cos (* 2 (PI))) 2))))))) y)) (/ (* (sin (* 2 (PI))) (- (* -1/2 x) (* 1/2 (/ (* x (pow (sin (* 2 (PI))) 2)) (pow (cos (* 2 (PI))) 2))))) (cos (* 2 (PI))))) (* 1/12 (/ (* x (sin (* 2 (PI)))) (cos (* 2 (PI)))))) y))) y)))))))
#s(approx (tan (+ (+ (/ (/ x y) 2) (PI)) (PI))) #s(hole binary64 (+ (* -1 (/ (- (* -1/2 x) (* 1/2 (/ (* x (pow (sin (* 2 (PI))) 2)) (pow (cos (* 2 (PI))) 2)))) y)) (/ (sin (* 2 (PI))) (cos (* 2 (PI)))))))
#s(approx (tan (+ (+ (/ (/ x y) 2) (PI)) (PI))) #s(hole binary64 (+ (* -1 (/ (- (+ (* -1/2 x) (* 1/2 (/ (* x (* (sin (* 2 (PI))) (- (* -1/2 x) (* 1/2 (/ (* x (pow (sin (* 2 (PI))) 2)) (pow (cos (* 2 (PI))) 2)))))) (* y (cos (* 2 (PI))))))) (* 1/2 (/ (* x (pow (sin (* 2 (PI))) 2)) (pow (cos (* 2 (PI))) 2)))) y)) (/ (sin (* 2 (PI))) (cos (* 2 (PI)))))))
#s(approx (tan (+ (+ (/ (/ x y) 2) (PI)) (PI))) #s(hole binary64 (+ (* -1 (/ (- (+ (* -1 (/ (- (* -1 (/ (- (* 1/48 (pow x 3)) (+ (* -1/4 (/ (* (pow x 2) (* (pow (sin (* 2 (PI))) 2) (- (* -1/2 x) (* 1/2 (/ (* x (pow (sin (* 2 (PI))) 2)) (pow (cos (* 2 (PI))) 2)))))) (pow (cos (* 2 (PI))) 2))) (+ (* -1/8 (* (pow x 2) (- (* -1/2 x) (* 1/2 (/ (* x (pow (sin (* 2 (PI))) 2)) (pow (cos (* 2 (PI))) 2)))))) (* -1/48 (/ (* (pow x 3) (pow (sin (* 2 (PI))) 2)) (pow (cos (* 2 (PI))) 2)))))) y)) (* 1/2 (/ (* x (* (sin (* 2 (PI))) (- (* -1/2 x) (* 1/2 (/ (* x (pow (sin (* 2 (PI))) 2)) (pow (cos (* 2 (PI))) 2)))))) (cos (* 2 (PI)))))) y)) (* -1/2 x)) (* 1/2 (/ (* x (pow (sin (* 2 (PI))) 2)) (pow (cos (* 2 (PI))) 2)))) y)) (/ (sin (* 2 (PI))) (cos (* 2 (PI)))))))
#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 (/ (- 1 (cos (/ x y))) (sin (/ x y))) #s(hole binary64 (* -1 (/ (- (+ (* -1/2 x) (* 1/24 (/ (pow x 3) (pow y 2)))) (* 1/12 (/ (pow x 3) (pow y 2)))) y))))
#s(approx (/ (- 1 (cos (/ x y))) (sin (/ x y))) #s(hole binary64 (* -1 (/ (- (+ (* -1/2 x) (+ (* -1/720 (/ (pow x 5) (pow y 4))) (* 1/24 (/ (pow x 3) (pow y 2))))) (+ (* -1/6 (/ (* (pow x 2) (- (* 1/24 (pow x 3)) (* 1/12 (pow x 3)))) (pow y 4))) (+ (* -1/240 (/ (pow x 5) (pow y 4))) (* 1/12 (/ (pow x 3) (pow y 2)))))) y))))
#s(approx (/ (- 1 (cos (/ x y))) (sin (/ x y))) #s(hole binary64 (* -1 (/ (- (+ (* -1/2 x) (+ (* -1/720 (/ (pow x 5) (pow y 4))) (+ (* 1/40320 (/ (pow x 7) (pow y 6))) (* 1/24 (/ (pow x 3) (pow y 2)))))) (+ (* -1/6 (/ (* (pow x 2) (- (* -1/720 (pow x 5)) (+ (* -1/6 (* (pow x 2) (- (* 1/24 (pow x 3)) (* 1/12 (pow x 3))))) (* -1/240 (pow x 5))))) (pow y 6))) (+ (* -1/6 (/ (* (pow x 2) (- (* 1/24 (pow x 3)) (* 1/12 (pow x 3)))) (pow y 4))) (+ (* -1/240 (/ (pow x 5) (pow y 4))) (+ (* 1/10080 (/ (pow x 7) (pow y 6))) (+ (* 1/120 (/ (* (pow x 4) (- (* 1/24 (pow x 3)) (* 1/12 (pow x 3)))) (pow y 6))) (* 1/12 (/ (pow x 3) (pow y 2))))))))) y))))
#s(approx (sin (/ x y)) #s(hole binary64 (* -1 (/ (+ (* -1 x) (* 1/6 (/ (pow x 3) (pow y 2)))) y))))
#s(approx (sin (/ x y)) #s(hole binary64 (* -1 (/ (+ (* -1 x) (+ (* -1/120 (/ (pow x 5) (pow y 4))) (* 1/6 (/ (pow x 3) (pow y 2))))) y))))
#s(approx (sin (/ x y)) #s(hole binary64 (* -1 (/ (+ (* -1 x) (+ (* -1/120 (/ (pow x 5) (pow y 4))) (+ (* 1/5040 (/ (pow x 7) (pow y 6))) (* 1/6 (/ (pow x 3) (pow y 2)))))) y))))

Outputs
#s(approx (/ (/ (- 1 (cos (/ x y))) (sin (/ x y))) (sin (/ x (* y 2)))) #s(literal 1 binary64))
#s(literal 1 binary64)
#s(approx (/ (/ (- 1 (cos (/ x y))) (sin (/ x y))) (sin (/ x (* y 2)))) (fma.f64 (*.f64 (/.f64 x y) (/.f64 x y)) #s(literal 1/8 binary64) #s(literal 1 binary64)))
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(fma.f64 #s(literal 1/8 binary64) (*.f64 (/.f64 x y) (/.f64 x y)) #s(literal 1 binary64))
(-.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 x x)) (*.f64 y y)))
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(+.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 x x) #s(literal 1/8 binary64)) (*.f64 y y)))
(*.f64 (/.f64 x y) (/.f64 x y))
(.f64 x (/.f64 x (.f64 y y)))
(/.f64 (/.f64 (*.f64 x x) y) y)
(/.f64 (neg.f64 (.f64 x x)) (neg.f64 (.f64 y y)))
(/.f64 (.f64 x x) (.f64 y y))
(*.f64 (pow.f64 x #s(literal 1 binary64)) (pow.f64 x #s(literal 1 binary64)))
(*.f64 (neg.f64 x) (neg.f64 x))
(*.f64 (fabs.f64 x) (fabs.f64 x))
(*.f64 x x)
(pow.f64 x #s(literal 2 binary64))
(exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)))
(+.f64 (cosh.f64 (.f64 (log.f64 x) #s(literal 2 binary64))) (sinh.f64 (.f64 (log.f64 x) #s(literal 2 binary64))))
x
(*.f64 (pow.f64 y #s(literal 1 binary64)) (pow.f64 y #s(literal 1 binary64)))
(*.f64 (neg.f64 y) (neg.f64 y))
(*.f64 (fabs.f64 y) (fabs.f64 y))
(*.f64 y y)
(pow.f64 y #s(literal 2 binary64))
(exp.f64 (*.f64 (log.f64 y) #s(literal 2 binary64)))
(+.f64 (cosh.f64 (.f64 (log.f64 y) #s(literal 2 binary64))) (sinh.f64 (.f64 (log.f64 y) #s(literal 2 binary64))))
y
#s(literal 1/8 binary64)
#s(approx (/ (/ (- 1 (cos (/ x y))) (sin (/ x y))) (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 (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) (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)))
(+.f64 (cosh.f64 (.f64 (log.f64 (cos.f64 (.f64 (/.f64 x y) #s(literal 1/2 binary64)))) #s(literal -1 binary64))) (sinh.f64 (.f64 (log.f64 (cos.f64 (.f64 (/.f64 x y) #s(literal 1/2 binary64)))) #s(literal -1 binary64))))
(fma.f64 (sin.f64 (.f64 (/.f64 x y) #s(literal 1/2 binary64))) (cos.f64 (/.f64 (PI.f64) #s(literal 2 binary64))) (.f64 (cos.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64))) (sin.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))))
(sin.f64 (+.f64 (neg.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64))) (/.f64 (PI.f64) #s(literal 2 binary64))))
(sin.f64 (fma.f64 (/.f64 x y) #s(literal 1/2 binary64) (/.f64 (PI.f64) #s(literal 2 binary64))))
(cos.f64 (neg.f64 (neg.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64)))))
(cos.f64 (neg.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64))))
(cos.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64)))
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(*.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)
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#s(literal 1/2 binary64)
#s(literal -1 binary64)
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(tan.f64 (+.f64 (+.f64 (PI.f64) (/.f64 x (*.f64 #s(literal 2 binary64) y))) (PI.f64)))
(tan.f64 (+.f64 (PI.f64) (/.f64 x (*.f64 #s(literal 2 binary64) y))))
(tan.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y)))
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(/.f64 (+.f64 (pow.f64 (/.f64 x (.f64 #s(literal 2 binary64) y)) #s(literal 3 binary64)) (pow.f64 (PI.f64) #s(literal 3 binary64))) (fma.f64 (/.f64 x (.f64 #s(literal 2 binary64) y)) (/.f64 x (.f64 #s(literal 2 binary64) y)) (-.f64 (.f64 (PI.f64) (PI.f64)) (.f64 (/.f64 x (.f64 #s(literal 2 binary64) y)) (PI.f64)))))
(+.f64 (PI.f64) (/.f64 x (*.f64 #s(literal 2 binary64) y)))
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(/.f64 (/.f64 x y) #s(literal 2 binary64))
(/.f64 x (*.f64 #s(literal 2 binary64) y))
#s(literal 2 binary64)
(PI.f64)
(sin.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y)))
(/.f64 (neg.f64 x) (neg.f64 (*.f64 #s(literal 2 binary64) y)))
(/.f64 (neg.f64 (/.f64 x y)) #s(literal -2 binary64))
(/.f64 (/.f64 x y) #s(literal 2 binary64))
(/.f64 x (*.f64 #s(literal 2 binary64) y))
(*.f64 #s(literal 2 binary64) y)
(*.f64 y #s(literal 2 binary64))
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#s(approx (sin (/ x y)) (/.f64 (fma.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (*.f64 y y)) #s(literal -1/6 binary64) x) y))
#s(approx (sin (/ x y)) (/.f64 (+.f64 (fma.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (.f64 y y)) #s(literal -1/6 binary64) x) (/.f64 (.f64 #s(literal 1/120 binary64) (pow.f64 x #s(literal 5 binary64))) (pow.f64 y #s(literal 4 binary64)))) y))
#s(approx (sin (/ x y)) (/.f64 (+.f64 (fma.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (.f64 y y)) #s(literal -1/6 binary64) (fma.f64 (/.f64 (pow.f64 x #s(literal 7 binary64)) (pow.f64 y #s(literal 6 binary64))) #s(literal -1/5040 binary64) (/.f64 (.f64 #s(literal 1/120 binary64) (pow.f64 x #s(literal 5 binary64))) (pow.f64 y #s(literal 4 binary64))))) x) y))
#s(approx (/ (/ (- 1 (cos (/ x y))) (sin (/ x y))) (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 (/ (/ (- 1 (cos (/ x y))) (sin (/ x y))) (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 (/ (/ (- 1 (cos (/ x y))) (sin (/ x y))) (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 y) (/.f64 x 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 (/ (/ (- 1 (cos (/ x y))) (sin (/ x y))) (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 #s(literal 0 binary64) (*.f64 #s(literal 1 binary64) x))) y)))
#s(approx (/ (/ (- 1 (cos (/ x y))) (sin (/ x y))) (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 (/ (/ (- 1 (cos (/ x y))) (sin (/ x y))) (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 (/ (- 1 (cos (/ x y))) (sin (/ x y))) (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 (/ (- 1 (cos (/ x y))) (sin (/ x y))) (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 (/ (- 1 (cos (/ x y))) (sin (/ x y))) (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 (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)))
#s(approx (/ (- 1 (cos (/ x y))) (sin (/ x y))) (neg.f64 (/.f64 (-.f64 (fma.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (.f64 y y)) #s(literal 1/24 binary64) (.f64 #s(literal -1/2 binary64) x)) (/.f64 (.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 3 binary64))) (.f64 y y))) y)))
#s(approx (/ (- 1 (cos (/ x y))) (sin (/ x y))) (neg.f64 (/.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 -1/720 binary64) (/.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/24 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 -1/6 binary64) (fma.f64 #s(literal -1/240 binary64) (/.f64 (pow.f64 x #s(literal 5 binary64)) (pow.f64 y #s(literal 4 binary64))) (/.f64 (.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 3 binary64))) (*.f64 y y))))) y)))
#s(approx (/ (- 1 (cos (/ x y))) (sin (/ x y))) (neg.f64 (/.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 -1/720 binary64) (fma.f64 #s(literal 1/40320 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 1/24 binary64)) (.f64 y y))))) (fma.f64 (/.f64 (.f64 (-.f64 (.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal -1/720 binary64)) (fma.f64 (.f64 #s(literal -1/6 binary64) (.f64 x x)) (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/24 binary64)) (.f64 #s(literal -1/240 binary64) (pow.f64 x #s(literal 5 binary64))))) (.f64 x x)) (pow.f64 y #s(literal 6 binary64))) #s(literal -1/6 binary64) (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 -1/6 binary64) (fma.f64 #s(literal -1/240 binary64) (/.f64 (pow.f64 x #s(literal 5 binary64)) (pow.f64 y #s(literal 4 binary64))) (fma.f64 #s(literal 1/10080 binary64) (/.f64 (pow.f64 x #s(literal 7 binary64)) (pow.f64 y #s(literal 6 binary64))) (fma.f64 (/.f64 (.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 1/120 binary64) (/.f64 (.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 3 binary64))) (.f64 y y)))))))) y)))
#s(approx (sin (/ x y)) (neg.f64 (/.f64 (fma.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (*.f64 y y)) #s(literal 1/6 binary64) (neg.f64 x)) y)))
#s(approx (sin (/ x y)) (neg.f64 (/.f64 (fma.f64 #s(literal -1 binary64) x (fma.f64 #s(literal -1/120 binary64) (/.f64 (pow.f64 x #s(literal 5 binary64)) (pow.f64 y #s(literal 4 binary64))) (/.f64 (.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 3 binary64))) (.f64 y y)))) y)))
#s(approx (sin (/ x y)) (neg.f64 (/.f64 (fma.f64 #s(literal -1 binary64) x (fma.f64 #s(literal -1/120 binary64) (/.f64 (pow.f64 x #s(literal 5 binary64)) (pow.f64 y #s(literal 4 binary64))) (fma.f64 #s(literal 1/5040 binary64) (/.f64 (pow.f64 x #s(literal 7 binary64)) (pow.f64 y #s(literal 6 binary64))) (/.f64 (.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 3 binary64))) (.f64 y y))))) y)))

eval35.0ms (1%)

Memory: 2.6MiB live, 24.6MiB allocated; 2ms collecting garbage
Compiler: Compiled 10 048 to 1 427 computations (85.8% saved)

prune21.0ms (0.6%)

Memory

3.3MiB live, 20.4MiB allocated; 2ms collecting garbage

Pruning

26 alts after pruning (24 fresh and 2 done)

	Pruned	Kept	Total
New	263	21	284
Fresh	6	3	9
Picked	3	2	5
Done	0	0	0
Total	272	26	298

Accuracy

63.2%

Counts

298 → 26

Alt Table

Click to see full alt table

Status	Accuracy	Program
	7.6%	(/.f64 (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 (/.f64 x y)) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 (/.f64 x y)) (cos.f64 (/.f64 x y)) (.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x y)))))) (sin.f64 (/.f64 x y))) (sin.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))))
▶	7.1%	(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (sin.f64 (+.f64 (/.f64 x y) (/.f64 (PI.f64) #s(literal 2 binary64))))) (sin.f64 (/.f64 x y))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
	7.3%	(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (sin.f64 (+.f64 (neg.f64 (/.f64 x y)) (/.f64 (PI.f64) #s(literal 2 binary64))))) (sin.f64 (/.f64 x y))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
	7.6%	(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x y))) (sin.f64 (/.f64 x y))) (sin.f64 (/.f64 x (+.f64 y y))))
	7.5%	(/.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)))))
	44.7%	(/.f64 (/.f64 (sin.f64 (/.f64 x (.f64 #s(literal 2 binary64) y))) (cos.f64 (/.f64 x (.f64 #s(literal 2 binary64) y)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
	44.6%	(/.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)))))
	46.0%	(/.f64 (/.f64 (neg.f64 (sin.f64 (/.f64 x (.f64 #s(literal 2 binary64) y)))) (cos.f64 (+.f64 (PI.f64) (/.f64 x (.f64 #s(literal 2 binary64) y))))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
	7.6%	(/.f64 (-.f64 (pow.f64 (sin.f64 (/.f64 x y)) #s(literal -1 binary64)) (/.f64 (cos.f64 (/.f64 x y)) (sin.f64 (/.f64 x y)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
	7.1%	(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x y))) (.f64 (sin.f64 (/.f64 x y)) (sin.f64 (/.f64 x (.f64 #s(literal 2 binary64) y)))))
	44.7%	(/.f64 (tan.f64 (/.f64 x (+.f64 y y))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
	7.3%	(/.f64 (tan.f64 (+.f64 (+.f64 (+.f64 (PI.f64) (/.f64 x (.f64 #s(literal 2 binary64) y))) (PI.f64)) (PI.f64))) (sin.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))))
	7.4%	(/.f64 (tan.f64 (+.f64 (PI.f64) (/.f64 x (.f64 #s(literal 2 binary64) y)))) (sin.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))))
	7.3%	(/.f64 (tan.f64 (+.f64 #s(approx (+ (/ (/ x y) 2) (PI)) (fma.f64 (/.f64 x y) #s(literal 1/2 binary64) (PI.f64))) (PI.f64))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
	7.4%	(/.f64 (tan.f64 (+.f64 #s(approx (+ (/ (/ x y) 2) (PI)) (.f64 (+.f64 (/.f64 (PI.f64) x) (/.f64 #s(literal 1/2 binary64) y)) x)) (PI.f64))) (sin.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))))
	52.4%	#s(approx (/ (/ (- 1 (cos (/ x y))) (sin (/ x y))) (sin (/ x (* y 2)))) (fma.f64 (*.f64 (/.f64 x y) (/.f64 x y)) #s(literal 1/8 binary64) #s(literal 1 binary64)))
	44.9%	#s(approx (/ (/ (- 1 (cos (/ x y))) (sin (/ x y))) (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))
	45.0%	#s(approx (/ (/ (- 1 (cos (/ x y))) (sin (/ x y))) (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 #s(literal 0 binary64) (*.f64 #s(literal 1 binary64) x))) y))
▶	2.7%	#s(approx (/ (/ (- 1 (cos (/ x y))) (sin (/ x y))) (sin (/ x (* y 2)))) (.f64 (.f64 (/.f64 y x) #s(literal 0 binary64)) #s(literal 2 binary64)))
✓	46.7%	#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)))
	57.1%	#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)))
▶	56.9%	#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (pow.f64 (sin.f64 (+.f64 (neg.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64))) (/.f64 (PI.f64) #s(literal 2 binary64)))) #s(literal -1 binary64)))
	56.5%	#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)))))
▶	57.7%	#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)))))
▶	54.3%	#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (exp.f64 (.f64 (log.f64 (cos.f64 (.f64 (/.f64 x y) #s(literal 1/2 binary64)))) #s(literal -1 binary64))))
✓	56.7%	#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(literal 1 binary64))

Compiler

Compiled 1 207 to 829 computations (31.3% saved)

series123.0ms (3.5%)

Memory

3.1MiB live, 38.0MiB allocated; 8ms collecting garbage

Counts

38 → 182

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

Outputs
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(hole binary64 1))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(hole binary64 (+ 1 (* 1/8 (/ (pow x 2) (pow y 2))))))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(hole binary64 (+ 1 (* (pow x 2) (+ (* 5/384 (/ (pow x 2) (pow y 4))) (* 1/8 (/ 1 (pow y 2))))))))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(hole binary64 (+ 1 (* (pow x 2) (+ (* (pow x 2) (+ (* 61/46080 (/ (pow x 2) (pow y 6))) (* 5/384 (/ 1 (pow y 4))))) (* 1/8 (/ 1 (pow y 2))))))))
#s(approx (/ -1 (cos (+ (* (/ 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 (/ (/ (- 1 (cos (/ x y))) (sin (/ x y))) (sin (/ x (* y 2)))) #s(hole binary64 1))
#s(approx (/ (/ (- 1 (cos (/ x y))) (sin (/ x y))) (sin (/ x (* y 2)))) #s(hole binary64 (+ 1 (* 1/8 (/ (pow x 2) (pow y 2))))))
#s(approx (/ (/ (- 1 (cos (/ x y))) (sin (/ x y))) (sin (/ x (* y 2)))) #s(hole binary64 (+ 1 (* (pow x 2) (+ (* 5/384 (/ (pow x 2) (pow y 4))) (* 1/8 (/ 1 (pow y 2))))))))
#s(approx (/ (/ (- 1 (cos (/ x y))) (sin (/ x y))) (sin (/ x (* y 2)))) #s(hole binary64 (+ 1 (* (pow x 2) (+ (* (pow x 2) (+ (* 5/384 (/ 1 (pow y 4))) (* (pow x 2) (- (* 25/9216 (/ 1 (pow y 6))) (* 1/720 (/ 1 (pow y 6))))))) (* 1/8 (/ 1 (pow y 2))))))))
#s(approx (* (* (/ 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 (+ (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 (* (/ x y) 1/2) #s(hole binary64 (* 1/2 (/ x y))))
#s(approx (exp (* (log (cos (* (/ x y) 1/2))) -1)) #s(hole binary64 1))
#s(approx (exp (* (log (cos (* (/ x y) 1/2))) -1)) #s(hole binary64 (+ 1 (* 1/8 (/ (pow x 2) (pow y 2))))))
#s(approx (exp (* (log (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 (exp (* (log (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 (* (log (cos (* (/ x y) 1/2))) -1) #s(hole binary64 (* 1/8 (/ (pow x 2) (pow y 2)))))
#s(approx (* (log (cos (* (/ x y) 1/2))) -1) #s(hole binary64 (* (pow x 2) (+ (* 1/192 (/ (pow x 2) (pow y 4))) (* 1/8 (/ 1 (pow y 2)))))))
#s(approx (* (log (cos (* (/ x y) 1/2))) -1) #s(hole binary64 (* (pow x 2) (+ (* (pow x 2) (+ (* 1/2880 (/ (pow x 2) (pow y 6))) (* 1/192 (/ 1 (pow y 4))))) (* 1/8 (/ 1 (pow y 2)))))))
#s(approx (* (log (cos (* (/ x y) 1/2))) -1) #s(hole binary64 (* (pow x 2) (+ (* (pow x 2) (+ (* (pow x 2) (+ (* 17/645120 (/ (pow x 2) (pow y 8))) (* 1/2880 (/ 1 (pow y 6))))) (* 1/192 (/ 1 (pow y 4))))) (* 1/8 (/ 1 (pow y 2)))))))
#s(approx (log (cos (* (/ x y) 1/2))) #s(hole binary64 (* -1/8 (/ (pow x 2) (pow y 2)))))
#s(approx (log (cos (* (/ x y) 1/2))) #s(hole binary64 (* (pow x 2) (- (* -1/192 (/ (pow x 2) (pow y 4))) (* 1/8 (/ 1 (pow y 2)))))))
#s(approx (log (cos (* (/ x y) 1/2))) #s(hole binary64 (* (pow x 2) (- (* (pow x 2) (- (* -1/2880 (/ (pow x 2) (pow y 6))) (* 1/192 (/ 1 (pow y 4))))) (* 1/8 (/ 1 (pow y 2)))))))
#s(approx (log (cos (* (/ x y) 1/2))) #s(hole binary64 (* (pow x 2) (- (* (pow x 2) (- (* (pow x 2) (- (* -17/645120 (/ (pow x 2) (pow y 8))) (* 1/2880 (/ 1 (pow y 6))))) (* 1/192 (/ 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 (/ (/ (- 1 (sin (+ (/ x y) (/ (PI) 2)))) (sin (/ x y))) (sin (/ x (* y 2)))) #s(hole binary64 (* 2 (/ (* (pow y 2) (- 1 (sin (* 1/2 (PI))))) (pow x 2)))))
#s(approx (/ (/ (- 1 (sin (+ (/ x y) (/ (PI) 2)))) (sin (/ x y))) (sin (/ x (* y 2)))) #s(hole binary64 (/ (+ (* -2 (* x (* y (cos (* 1/2 (PI)))))) (* 2 (* (pow y 2) (- 1 (sin (* 1/2 (PI))))))) (pow x 2))))
#s(approx (/ (/ (- 1 (sin (+ (/ x y) (/ (PI) 2)))) (sin (/ x y))) (sin (/ x (* y 2)))) #s(hole binary64 (/ (+ (* 2 (* (pow y 2) (- 1 (sin (* 1/2 (PI)))))) (* x (+ (* -2 (* y (cos (* 1/2 (PI))))) (* x (- (sin (* 1/2 (PI))) (* -5/12 (- 1 (sin (* 1/2 (PI)))))))))) (pow x 2))))
#s(approx (/ (/ (- 1 (sin (+ (/ x y) (/ (PI) 2)))) (sin (/ x y))) (sin (/ x (* y 2)))) #s(hole binary64 (/ (+ (* 2 (* (pow y 2) (- 1 (sin (* 1/2 (PI)))))) (* x (+ (* -2 (* y (cos (* 1/2 (PI))))) (* x (- (+ (sin (* 1/2 (PI))) (* x (- (* 1/3 (/ (cos (* 1/2 (PI))) y)) (* 5/12 (/ (cos (* 1/2 (PI))) y))))) (* -5/12 (- 1 (sin (* 1/2 (PI)))))))))) (pow x 2))))
#s(approx (/ (- 1 (sin (+ (/ x y) (/ (PI) 2)))) (sin (/ x y))) #s(hole binary64 (/ (* y (- 1 (sin (* 1/2 (PI))))) x)))
#s(approx (/ (- 1 (sin (+ (/ x y) (/ (PI) 2)))) (sin (/ x y))) #s(hole binary64 (/ (+ (* -1 (* x (cos (* 1/2 (PI))))) (* y (- 1 (sin (* 1/2 (PI)))))) x)))
#s(approx (/ (- 1 (sin (+ (/ x y) (/ (PI) 2)))) (sin (/ x y))) #s(hole binary64 (/ (+ (* x (+ (* -1 (cos (* 1/2 (PI)))) (* x (- (* 1/2 (/ (sin (* 1/2 (PI))) y)) (* -1/6 (/ (- 1 (sin (* 1/2 (PI)))) y)))))) (* y (- 1 (sin (* 1/2 (PI)))))) x)))
#s(approx (/ (- 1 (sin (+ (/ x y) (/ (PI) 2)))) (sin (/ x y))) #s(hole binary64 (/ (+ (* x (+ (* -1 (cos (* 1/2 (PI)))) (* x (- (+ (* 1/2 (/ (sin (* 1/2 (PI))) y)) (* (pow x 2) (- (* -1/24 (/ (sin (* 1/2 (PI))) (pow y 3))) (+ (* -1/6 (/ (- (* 1/2 (/ (sin (* 1/2 (PI))) y)) (* -1/6 (/ (- 1 (sin (* 1/2 (PI)))) y))) (pow y 2))) (* 1/120 (/ (- 1 (sin (* 1/2 (PI)))) (pow y 3))))))) (* -1/6 (/ (- 1 (sin (* 1/2 (PI)))) y)))))) (* y (- 1 (sin (* 1/2 (PI)))))) x)))
#s(approx (- 1 (sin (+ (/ x y) (/ (PI) 2)))) #s(hole binary64 (- 1 (sin (* 1/2 (PI))))))
#s(approx (- 1 (sin (+ (/ x y) (/ (PI) 2)))) #s(hole binary64 (- (+ 1 (* -1 (/ (* x (cos (* 1/2 (PI)))) y))) (sin (* 1/2 (PI))))))
#s(approx (- 1 (sin (+ (/ x y) (/ (PI) 2)))) #s(hole binary64 (- (+ 1 (* x (- (* 1/2 (/ (* x (sin (* 1/2 (PI)))) (pow y 2))) (/ (cos (* 1/2 (PI))) y)))) (sin (* 1/2 (PI))))))
#s(approx (- 1 (sin (+ (/ x y) (/ (PI) 2)))) #s(hole binary64 (- (+ 1 (* x (- (* x (- (* 1/6 (/ (* x (cos (* 1/2 (PI)))) (pow y 3))) (* -1/2 (/ (sin (* 1/2 (PI))) (pow y 2))))) (/ (cos (* 1/2 (PI))) y)))) (sin (* 1/2 (PI))))))
#s(approx (sin (+ (/ x y) (/ (PI) 2))) #s(hole binary64 (sin (* 1/2 (PI)))))
#s(approx (sin (+ (/ x y) (/ (PI) 2))) #s(hole binary64 (+ (sin (* 1/2 (PI))) (/ (* x (cos (* 1/2 (PI)))) y))))
#s(approx (sin (+ (/ x y) (/ (PI) 2))) #s(hole binary64 (+ (sin (* 1/2 (PI))) (* x (+ (* -1/2 (/ (* x (sin (* 1/2 (PI)))) (pow y 2))) (/ (cos (* 1/2 (PI))) y))))))
#s(approx (sin (+ (/ x y) (/ (PI) 2))) #s(hole binary64 (+ (sin (* 1/2 (PI))) (* x (+ (* x (+ (* -1/2 (/ (sin (* 1/2 (PI))) (pow y 2))) (* -1/6 (/ (* x (cos (* 1/2 (PI)))) (pow y 3))))) (/ (cos (* 1/2 (PI))) y))))))
#s(approx (+ (/ x y) (/ (PI) 2)) #s(hole binary64 (* 1/2 (PI))))
#s(approx (+ (/ x y) (/ (PI) 2)) #s(hole binary64 (+ (* 1/2 (PI)) (/ x y))))
#s(approx (sin (/ x y)) #s(hole binary64 (/ x y)))
#s(approx (sin (/ x y)) #s(hole binary64 (* x (+ (* -1/6 (/ (pow x 2) (pow y 3))) (/ 1 y)))))
#s(approx (sin (/ x y)) #s(hole binary64 (* x (+ (* (pow x 2) (- (* 1/120 (/ (pow x 2) (pow y 5))) (* 1/6 (/ 1 (pow y 3))))) (/ 1 y)))))
#s(approx (sin (/ x y)) #s(hole binary64 (* x (+ (* (pow x 2) (- (* (pow x 2) (+ (* -1/5040 (/ (pow x 2) (pow y 7))) (* 1/120 (/ 1 (pow y 5))))) (* 1/6 (/ 1 (pow y 3))))) (/ 1 y)))))
#s(approx (sin (/ x (* y 2))) #s(hole binary64 (* 1/2 (/ x y))))
#s(approx (sin (/ x (* y 2))) #s(hole binary64 (* x (+ (* -1/48 (/ (pow x 2) (pow y 3))) (* 1/2 (/ 1 y))))))
#s(approx (sin (/ x (* y 2))) #s(hole binary64 (* x (+ (* (pow x 2) (- (* 1/3840 (/ (pow x 2) (pow y 5))) (* 1/48 (/ 1 (pow y 3))))) (* 1/2 (/ 1 y))))))
#s(approx (sin (/ x (* y 2))) #s(hole binary64 (* x (+ (* (pow x 2) (- (* (pow x 2) (+ (* -1/645120 (/ (pow x 2) (pow y 7))) (* 1/3840 (/ 1 (pow y 5))))) (* 1/48 (/ 1 (pow y 3))))) (* 1/2 (/ 1 y))))))
#s(approx (/ x (* y 2)) #s(hole binary64 (* 1/2 (/ x y))))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(hole binary64 (/ 1 (cos (* 1/2 (/ x y))))))
#s(approx (/ -1 (cos (+ (* (/ 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 (/ (/ (- 1 (cos (/ x y))) (sin (/ x y))) (sin (/ x (* y 2)))) #s(hole binary64 (/ (- 1 (cos (/ x y))) (* (sin (* 1/2 (/ x y))) (sin (/ x y))))))
#s(approx (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 (exp (* (log (cos (* (/ x y) 1/2))) -1)) #s(hole binary64 (/ 1 (cos (* 1/2 (/ x y))))))
#s(approx (* (log (cos (* (/ x y) 1/2))) -1) #s(hole binary64 (* -1 (log (cos (* 1/2 (/ x y)))))))
#s(approx (log (cos (* (/ x y) 1/2))) #s(hole binary64 (log (cos (* 1/2 (/ x y))))))
#s(approx (cos (* (/ x y) 1/2)) #s(hole binary64 (cos (* 1/2 (/ x y)))))
#s(approx (/ (/ (- 1 (sin (+ (/ x y) (/ (PI) 2)))) (sin (/ x y))) (sin (/ x (* y 2)))) #s(hole binary64 (/ (- 1 (sin (+ (* 1/2 (PI)) (/ x y)))) (* (sin (* 1/2 (/ x y))) (sin (/ x y))))))
#s(approx (/ (- 1 (sin (+ (/ x y) (/ (PI) 2)))) (sin (/ x y))) #s(hole binary64 (/ (- 1 (sin (+ (* 1/2 (PI)) (/ x y)))) (sin (/ x y)))))
#s(approx (- 1 (sin (+ (/ x y) (/ (PI) 2)))) #s(hole binary64 (- 1 (sin (+ (* 1/2 (PI)) (/ x y))))))
#s(approx (sin (+ (/ x y) (/ (PI) 2))) #s(hole binary64 (sin (+ (* 1/2 (PI)) (/ x y)))))
#s(approx (+ (/ x y) (/ (PI) 2)) #s(hole binary64 (/ x y)))
#s(approx (+ (/ x y) (/ (PI) 2)) #s(hole binary64 (* x (+ (* 1/2 (/ (PI) x)) (/ 1 y)))))
#s(approx (sin (/ x y)) #s(hole binary64 (sin (/ x y))))
#s(approx (sin (/ x (* y 2))) #s(hole binary64 (sin (* 1/2 (/ x y)))))
#s(approx (/ -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 (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 (/ (/ (- 1 (sin (+ (/ x y) (/ (PI) 2)))) (sin (/ x y))) (sin (/ x (* y 2)))) #s(hole binary64 (/ (- 1 (sin (- (* 1/2 (PI)) (* -1 (/ x y))))) (* (sin (* 1/2 (/ x y))) (sin (/ x y))))))
#s(approx (/ (- 1 (sin (+ (/ x y) (/ (PI) 2)))) (sin (/ x y))) #s(hole binary64 (/ (- 1 (sin (- (* 1/2 (PI)) (* -1 (/ x y))))) (sin (/ x y)))))
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#s(approx (/ (/ (- 1 (sin (+ (/ x y) (/ (PI) 2)))) (sin (/ x y))) (sin (/ x (* y 2)))) #s(hole binary64 (* (pow y 2) (+ (* -1 (/ (+ (* -1 (/ (- (sin (* 1/2 (PI))) (* 4 (/ (* (+ (* -1/12 (pow x 4)) (* -1/48 (pow x 4))) (- 1 (sin (* 1/2 (PI))))) (pow x 4)))) y)) (* 2 (/ (cos (* 1/2 (PI))) x))) y)) (* 2 (/ (- 1 (sin (* 1/2 (PI)))) (pow x 2)))))))
#s(approx (/ (/ (- 1 (sin (+ (/ x y) (/ (PI) 2)))) (sin (/ x y))) (sin (/ x (* y 2)))) #s(hole binary64 (* (pow y 2) (+ (* -1 (/ (+ (* -1 (/ (- (+ (sin (* 1/2 (PI))) (* -1 (/ (- (* -1/3 (* x (cos (* 1/2 (PI))))) (* 4 (/ (* (cos (* 1/2 (PI))) (+ (* -1/12 (pow x 4)) (* -1/48 (pow x 4)))) (pow x 3)))) y))) (* 4 (/ (* (+ (* -1/12 (pow x 4)) (* -1/48 (pow x 4))) (- 1 (sin (* 1/2 (PI))))) (pow x 4)))) y)) (* 2 (/ (cos (* 1/2 (PI))) x))) y)) (* 2 (/ (- 1 (sin (* 1/2 (PI)))) (pow x 2)))))))
#s(approx (/ (- 1 (sin (+ (/ x y) (/ (PI) 2)))) (sin (/ x y))) #s(hole binary64 (* -1 (* y (+ (* -1 (/ (- 1 (sin (* 1/2 (PI)))) x)) (/ (cos (* 1/2 (PI))) y))))))
#s(approx (/ (- 1 (sin (+ (/ x y) (/ (PI) 2)))) (sin (/ x y))) #s(hole binary64 (* -1 (* y (+ (* -1 (/ (+ (* -1 (cos (* 1/2 (PI)))) (* -1 (/ (- (* -1/2 (* x (sin (* 1/2 (PI))))) (* 1/6 (* x (- 1 (sin (* 1/2 (PI))))))) y))) y)) (* -1 (/ (- 1 (sin (* 1/2 (PI)))) x)))))))
#s(approx (/ (- 1 (sin (+ (/ x y) (/ (PI) 2)))) (sin (/ x y))) #s(hole binary64 (* -1 (* y (+ (* -1 (/ (+ (* -1 (cos (* 1/2 (PI)))) (* -1 (/ (- (+ (* -1/2 (* x (sin (* 1/2 (PI))))) (* 1/24 (/ (* (pow x 3) (sin (* 1/2 (PI)))) (pow y 2)))) (+ (* -1/6 (/ (* (pow x 2) (- (* -1/2 (* x (sin (* 1/2 (PI))))) (* 1/6 (* x (- 1 (sin (* 1/2 (PI)))))))) (pow y 2))) (+ (* -1/120 (/ (* (pow x 3) (- 1 (sin (* 1/2 (PI))))) (pow y 2))) (* 1/6 (* x (- 1 (sin (* 1/2 (PI))))))))) y))) y)) (* -1 (/ (- 1 (sin (* 1/2 (PI)))) x)))))))
#s(approx (- 1 (sin (+ (/ x y) (/ (PI) 2)))) #s(hole binary64 (- (+ 1 (* -1 (/ (- (* -1/2 (/ (* (pow x 2) (sin (* 1/2 (PI)))) y)) (* -1 (* x (cos (* 1/2 (PI)))))) y))) (sin (* 1/2 (PI))))))
#s(approx (- 1 (sin (+ (/ x y) (/ (PI) 2)))) #s(hole binary64 (- (+ 1 (* -1 (/ (- (* -1 (/ (- (* 1/6 (/ (* (pow x 3) (cos (* 1/2 (PI)))) y)) (* -1/2 (* (pow x 2) (sin (* 1/2 (PI)))))) y)) (* -1 (* x (cos (* 1/2 (PI)))))) y))) (sin (* 1/2 (PI))))))
#s(approx (sin (+ (/ x y) (/ (PI) 2))) #s(hole binary64 (+ (sin (* 1/2 (PI))) (* -1 (/ (+ (* -1 (* x (cos (* 1/2 (PI))))) (* 1/2 (/ (* (pow x 2) (sin (* 1/2 (PI)))) y))) y)))))
#s(approx (sin (+ (/ x y) (/ (PI) 2))) #s(hole binary64 (+ (sin (* 1/2 (PI))) (* -1 (/ (+ (* -1 (* x (cos (* 1/2 (PI))))) (* -1 (/ (+ (* -1/2 (* (pow x 2) (sin (* 1/2 (PI))))) (* -1/6 (/ (* (pow x 3) (cos (* 1/2 (PI)))) y))) y))) y)))))
#s(approx (sin (/ x y)) #s(hole binary64 (* -1 (/ (+ (* -1 x) (* 1/6 (/ (pow x 3) (pow y 2)))) y))))
#s(approx (sin (/ x y)) #s(hole binary64 (* -1 (/ (+ (* -1 x) (+ (* -1/120 (/ (pow x 5) (pow y 4))) (* 1/6 (/ (pow x 3) (pow y 2))))) y))))
#s(approx (sin (/ x y)) #s(hole binary64 (* -1 (/ (+ (* -1 x) (+ (* -1/120 (/ (pow x 5) (pow y 4))) (+ (* 1/5040 (/ (pow x 7) (pow y 6))) (* 1/6 (/ (pow x 3) (pow y 2)))))) y))))
#s(approx (sin (/ x (* 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
36.0ms	y	@	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) (/ (/ (- 1 (cos (/ x y))) (sin (/ x y))) (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 (+ (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)) (* (/ x y) 1/2) (/ (PI) 2) (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (exp (* (log (cos (* (/ x y) 1/2))) -1)) (* (log (cos (* (/ x y) 1/2))) -1) (log (cos (* (/ x y) 1/2))) (cos (* (/ x y) 1/2)) (/ (/ (- 1 (sin (+ (/ x y) (/ (PI) 2)))) (sin (/ x y))) (sin (/ x (* y 2)))) (/ (- 1 (sin (+ (/ x y) (/ (PI) 2)))) (sin (/ x y))) (- 1 (sin (+ (/ x y) (/ (PI) 2)))) 1 (sin (+ (/ x y) (/ (PI) 2))) (+ (/ x y) (/ (PI) 2)) (sin (/ x y)) (sin (/ x (* y 2))) (/ x (* y 2)) (* y 2))
35.0ms	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) (/ (/ (- 1 (cos (/ x y))) (sin (/ x y))) (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 (+ (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)) (* (/ x y) 1/2) (/ (PI) 2) (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (exp (* (log (cos (* (/ x y) 1/2))) -1)) (* (log (cos (* (/ x y) 1/2))) -1) (log (cos (* (/ x y) 1/2))) (cos (* (/ x y) 1/2)) (/ (/ (- 1 (sin (+ (/ x y) (/ (PI) 2)))) (sin (/ x y))) (sin (/ x (* y 2)))) (/ (- 1 (sin (+ (/ x y) (/ (PI) 2)))) (sin (/ x y))) (- 1 (sin (+ (/ x y) (/ (PI) 2)))) 1 (sin (+ (/ x y) (/ (PI) 2))) (+ (/ x y) (/ (PI) 2)) (sin (/ x y)) (sin (/ x (* y 2))) (/ x (* y 2)) (* y 2))
21.0ms	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) (/ (/ (- 1 (cos (/ x y))) (sin (/ x y))) (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 (+ (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)) (* (/ x y) 1/2) (/ (PI) 2) (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (exp (* (log (cos (* (/ x y) 1/2))) -1)) (* (log (cos (* (/ x y) 1/2))) -1) (log (cos (* (/ x y) 1/2))) (cos (* (/ x y) 1/2)) (/ (/ (- 1 (sin (+ (/ x y) (/ (PI) 2)))) (sin (/ x y))) (sin (/ x (* y 2)))) (/ (- 1 (sin (+ (/ x y) (/ (PI) 2)))) (sin (/ x y))) (- 1 (sin (+ (/ x y) (/ (PI) 2)))) 1 (sin (+ (/ x y) (/ (PI) 2))) (+ (/ x y) (/ (PI) 2)) (sin (/ x y)) (sin (/ x (* y 2))) (/ x (* y 2)) (* y 2))
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) (/ (/ (- 1 (cos (/ x y))) (sin (/ x y))) (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 (+ (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)) (* (/ x y) 1/2) (/ (PI) 2) (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (exp (* (log (cos (* (/ x y) 1/2))) -1)) (* (log (cos (* (/ x y) 1/2))) -1) (log (cos (* (/ x y) 1/2))) (cos (* (/ x y) 1/2)) (/ (/ (- 1 (sin (+ (/ x y) (/ (PI) 2)))) (sin (/ x y))) (sin (/ x (* y 2)))) (/ (- 1 (sin (+ (/ x y) (/ (PI) 2)))) (sin (/ x y))) (- 1 (sin (+ (/ x y) (/ (PI) 2)))) 1 (sin (+ (/ x y) (/ (PI) 2))) (+ (/ x y) (/ (PI) 2)) (sin (/ x y)) (sin (/ x (* y 2))) (/ x (* y 2)) (* y 2))
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) (/ (/ (- 1 (cos (/ x y))) (sin (/ x y))) (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 (+ (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)) (* (/ x y) 1/2) (/ (PI) 2) (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (exp (* (log (cos (* (/ x y) 1/2))) -1)) (* (log (cos (* (/ x y) 1/2))) -1) (log (cos (* (/ x y) 1/2))) (cos (* (/ x y) 1/2)) (/ (/ (- 1 (sin (+ (/ x y) (/ (PI) 2)))) (sin (/ x y))) (sin (/ x (* y 2)))) (/ (- 1 (sin (+ (/ x y) (/ (PI) 2)))) (sin (/ x y))) (- 1 (sin (+ (/ x y) (/ (PI) 2)))) 1 (sin (+ (/ x y) (/ (PI) 2))) (+ (/ x y) (/ (PI) 2)) (sin (/ x y)) (sin (/ x (* y 2))) (/ x (* y 2)) (* y 2))

rewrite175.0ms (5%)

Memory

-7.7MiB live, 59.4MiB allocated; 20ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1377	8680
0	1429	7287
0	8398	6992

Stop Event

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

Counts

220 → 279

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

Outputs
#s(approx (/ (/ (- 1 (cos (/ x y))) (sin (/ x y))) (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) (neg.f64 (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)
(neg.f64 (cos.f64 (*.f64 (/.f64 x y) #s(literal -1/2 binary64))))
(sin.f64 (+.f64 (fma.f64 (/.f64 x y) #s(literal 1/2 binary64) (PI.f64)) (/.f64 (PI.f64) #s(literal 2 binary64))))
(-.f64 (.f64 (cos.f64 (.f64 (/.f64 x y) #s(literal -1/2 binary64))) #s(literal -1 binary64)) (.f64 (sin.f64 (.f64 (/.f64 x y) #s(literal 1/2 binary64))) #s(literal 0 binary64)))
(cos.f64 (neg.f64 (fma.f64 (/.f64 x y) #s(literal 1/2 binary64) (PI.f64))))
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(fma.f64 (/.f64 x y) #s(literal 1/2 binary64) (PI.f64))
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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 (/ (/ (- 1 (cos (/ x y))) (sin (/ x y))) (sin (/ x (* y 2)))) #s(literal 0 binary64))
#s(literal 0 binary64)
#s(literal 0 binary64)
(/.f64 (neg.f64 y) (neg.f64 x))
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#s(approx (/ (/ (- 1 (cos (/ x y))) (sin (/ x y))) (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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(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)))))
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#s(approx (sin (/ x y)) (neg.f64 (/.f64 (fma.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 x #s(literal 3 binary64)) (*.f64 y y)) (neg.f64 x)) y)))
#s(approx (sin (/ x y)) (neg.f64 (/.f64 (fma.f64 #s(literal -1 binary64) x (fma.f64 #s(literal -1/120 binary64) (/.f64 (pow.f64 x #s(literal 5 binary64)) (pow.f64 y #s(literal 4 binary64))) (/.f64 (.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 3 binary64))) (.f64 y y)))) y)))
#s(approx (sin (/ x y)) (neg.f64 (/.f64 (fma.f64 #s(literal -1 binary64) x (fma.f64 #s(literal -1/120 binary64) (/.f64 (pow.f64 x #s(literal 5 binary64)) (pow.f64 y #s(literal 4 binary64))) (fma.f64 #s(literal 1/5040 binary64) (/.f64 (pow.f64 x #s(literal 7 binary64)) (pow.f64 y #s(literal 6 binary64))) (/.f64 (.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 3 binary64))) (.f64 y y))))) y)))
#s(approx (sin (/ x (* y 2))) (neg.f64 (/.f64 (fma.f64 #s(literal 1/48 binary64) (/.f64 (pow.f64 x #s(literal 3 binary64)) (.f64 y y)) (.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 #s(literal 1/48 binary64) (pow.f64 x #s(literal 3 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 #s(literal 1/48 binary64) (pow.f64 x #s(literal 3 binary64))) (.f64 y y))))) y)))

eval43.0ms (1.2%)

Memory: -2.4MiB live, 27.4MiB allocated; 4ms collecting garbage
Compiler: Compiled 12 603 to 1 789 computations (85.8% saved)

prune30.0ms (0.9%)

Memory

2.6MiB live, 27.7MiB allocated; 1ms collecting garbage

Pruning

40 alts after pruning (37 fresh and 3 done)

	Pruned	Kept	Total
New	284	22	306
Fresh	4	15	19
Picked	4	1	5
Done	0	2	2
Total	292	40	332

Accuracy

63.3%

Counts

332 → 40

Alt Table

Click to see full alt table

Status	Accuracy	Program
	7.6%	(/.f64 (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 (/.f64 x y)) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 (/.f64 x y)) (cos.f64 (/.f64 x y)) (.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x y)))))) (sin.f64 (/.f64 x y))) (sin.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))))
	5.4%	(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (sin.f64 (/.f64 (+.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)) (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64))) (fma.f64 (/.f64 x y) (/.f64 x y) (-.f64 (.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64))) (.f64 (/.f64 x y) (/.f64 (PI.f64) #s(literal 2 binary64)))))))) (sin.f64 (/.f64 x y))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
▶	7.3%	(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (sin.f64 (+.f64 (neg.f64 (/.f64 x y)) (/.f64 (PI.f64) #s(literal 2 binary64))))) (sin.f64 (/.f64 x y))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
	5.3%	(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (sin.f64 #s(approx (+ (/ x y) (/ (PI) 2)) (/.f64 x y)))) (sin.f64 (/.f64 x y))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
	7.2%	(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (sin.f64 #s(approx (+ (/ x y) (/ (PI) 2)) (.f64 x (fma.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) x) (pow.f64 y #s(literal -1 binary64))))))) (sin.f64 (/.f64 x y))) (sin.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))))
	7.6%	(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x y))) (sin.f64 (/.f64 x y))) (sin.f64 (/.f64 x (+.f64 y y))))
	7.5%	(/.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)))))
	44.7%	(/.f64 (/.f64 (sin.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) (cos.f64 (/.f64 x (.f64 y #s(literal 2 binary64))))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
	44.6%	(/.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)))))
	46.0%	(/.f64 (/.f64 (neg.f64 (sin.f64 (/.f64 x (.f64 #s(literal 2 binary64) y)))) (cos.f64 (+.f64 (PI.f64) (/.f64 x (.f64 #s(literal 2 binary64) y))))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
	7.6%	(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (sin.f64 (/.f64 x y))) (/.f64 (cos.f64 (/.f64 x y)) (sin.f64 (/.f64 x y)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
	7.1%	(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x y))) (.f64 (sin.f64 (/.f64 x y)) (sin.f64 (/.f64 x (.f64 y #s(literal 2 binary64))))))
	44.7%	(/.f64 (tan.f64 (/.f64 x (+.f64 y y))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
	7.4%	(/.f64 (tan.f64 (+.f64 (/.f64 x (.f64 y #s(literal 2 binary64))) (PI.f64))) (sin.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))))
	7.3%	(/.f64 (tan.f64 (+.f64 (+.f64 (+.f64 (PI.f64) (/.f64 x (.f64 #s(literal 2 binary64) y))) (PI.f64)) (PI.f64))) (sin.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))))
	7.3%	(/.f64 (tan.f64 (+.f64 #s(approx (+ (/ (/ x y) 2) (PI)) (fma.f64 (/.f64 x y) #s(literal 1/2 binary64) (PI.f64))) (PI.f64))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
▶	7.4%	(/.f64 (tan.f64 (+.f64 #s(approx (+ (/ (/ x y) 2) (PI)) (.f64 (+.f64 (/.f64 (PI.f64) x) (/.f64 #s(literal 1/2 binary64) y)) x)) (PI.f64))) (sin.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))))
	52.4%	#s(approx (/ (/ (- 1 (cos (/ x y))) (sin (/ x y))) (sin (/ x (* y 2)))) (fma.f64 (*.f64 (/.f64 x y) (/.f64 x y)) #s(literal 1/8 binary64) #s(literal 1 binary64)))
	1.7%	#s(approx (/ (/ (- 1 (cos (/ x y))) (sin (/ x y))) (sin (/ x (* y 2)))) (/.f64 (fma.f64 x (fma.f64 x (-.f64 (fma.f64 x (.f64 (/.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) (PI.f64))) y) #s(literal -1/12 binary64)) (sin.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)))) (.f64 #s(literal -5/12 binary64) (-.f64 #s(literal 1 binary64) (sin.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)))))) (.f64 (.f64 #s(literal -2 binary64) y) (cos.f64 (.f64 #s(literal 1/2 binary64) (PI.f64))))) (.f64 (.f64 #s(literal 2 binary64) (.f64 y y)) (-.f64 #s(literal 1 binary64) (sin.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)))))) (*.f64 x x)))
	44.9%	#s(approx (/ (/ (- 1 (cos (/ x y))) (sin (/ x y))) (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))
	45.0%	#s(approx (/ (/ (- 1 (cos (/ x y))) (sin (/ x y))) (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 #s(literal 0 binary64) (*.f64 #s(literal 1 binary64) x))) y))
▶	3.1%	#s(approx (/ (/ (- 1 (cos (/ x y))) (sin (/ x y))) (sin (/ x (* y 2)))) #s(approx (* (* (/ y x) 0) 2) #s(literal 0 binary64)))
✓	46.7%	#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)))
	57.1%	#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)))
	54.3%	#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)))
	56.9%	#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 #s(literal 1/2 binary64) (-.f64 (.f64 y (PI.f64)) x)) y))) #s(literal -1 binary64)))
	56.9%	#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (pow.f64 (sin.f64 #s(approx (+ (neg (* (/ x y) 1/2)) (/ (PI) 2)) (*.f64 (neg.f64 x) (fma.f64 #s(literal -1/2 binary64) (/.f64 (PI.f64) x) (/.f64 #s(literal 1/2 binary64) y))))) #s(literal -1 binary64)))
	56.9%	#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (pow.f64 (sin.f64 #s(approx (+ (neg (* (/ x y) 1/2)) (/ (PI) 2)) (*.f64 #s(literal 1/2 binary64) (-.f64 (PI.f64) (/.f64 x y))))) #s(literal -1 binary64)))
	52.7%	#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (pow.f64 #s(approx (cos (* (/ x y) 1/2)) (fma.f64 #s(literal -1/2 binary64) (.f64 x (/.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) (PI.f64))) y)) (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))))) #s(literal -1 binary64)))
	56.5%	#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)))))
▶	56.9%	#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))))))
✓	57.7%	#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)))))
	54.6%	#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal -1 binary64) (cos.f64 (/.f64 (+.f64 (pow.f64 (.f64 (/.f64 x y) #s(literal 1/2 binary64)) #s(literal 3 binary64)) (pow.f64 (PI.f64) #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 (PI.f64) (PI.f64)) (.f64 (.f64 (/.f64 x y) #s(literal 1/2 binary64)) (PI.f64))))))))
▶	57.4%	#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 x (+.f64 (/.f64 (PI.f64) x) (/.f64 #s(literal 1/2 binary64) y)))))))
	5.3%	#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 #s(literal 1/2 binary64) (/.f64 x y))))))
	50.5%	#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 x (-.f64 (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 x #s(literal -1 binary64))) (*.f64 y y)) (/.f64 #s(literal 0 binary64) y)) #s(literal -1 binary64)))))
	50.2%	#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal -1 binary64) #s(approx (cos (+ (* (/ x y) 1/2) (PI))) (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal 1/8 binary64) (/.f64 (.f64 (.f64 x x) #s(literal -1 binary64)) y) (.f64 #s(literal 1/2 binary64) (.f64 x #s(literal 0 binary64)))) y) #s(literal -1 binary64)))))
	47.1%	#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 #s(literal -1/8 binary64) (.f64 (.f64 x x) (/.f64 #s(literal -1 binary64) (.f64 y y))) #s(literal -1 binary64)) (.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 x #s(literal 0 binary64)) y))))))
	54.3%	#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (exp.f64 #s(approx (* (log (cos (* (/ x y) 1/2))) -1) (neg.f64 (log.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y))))))))
✓	56.7%	#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(literal 1 binary64))

Compiler

Compiled 2 422 to 1 575 computations (35% saved)

series45.0ms (1.3%)

Memory

-2.9MiB live, 19.7MiB allocated; 2ms collecting garbage

Counts

40 → 204

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

Outputs
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(hole binary64 1))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(hole binary64 (+ 1 (* 1/8 (/ (pow x 2) (pow y 2))))))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(hole binary64 (+ 1 (* (pow x 2) (+ (* 5/384 (/ (pow x 2) (pow y 4))) (* 1/8 (/ 1 (pow y 2))))))))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(hole binary64 (+ 1 (* (pow x 2) (+ (* (pow x 2) (+ (* 61/46080 (/ (pow x 2) (pow y 6))) (* 5/384 (/ 1 (pow y 4))))) (* 1/8 (/ 1 (pow y 2))))))))
#s(approx (/ -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 (+ (/ (PI) x) (/ 1/2 y))) #s(hole binary64 (PI)))
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#s(approx (sin (+ (+ (* (/ x y) 1/2) (PI)) (/ (PI) 2))) #s(hole binary64 (+ (sin (+ (PI) (* 1/2 (PI)))) (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (* (pow x 2) (sin (+ (PI) (* 1/2 (PI)))))) (* -1/48 (/ (* (pow x 3) (cos (+ (PI) (* 1/2 (PI))))) y))) y)) (* -1/2 (* x (cos (+ (PI) (* 1/2 (PI))))))) y)))))
#s(approx (/ (tan (+ (+ (/ (/ x y) 2) (PI)) (PI))) (sin (/ x (* y 2)))) #s(hole binary64 (* -1 (* y (+ (* -2 (/ (sin (* 2 (PI))) (* x (cos (* 2 (PI)))))) (* 2 (/ (- (* -1/2 x) (* 1/2 (/ (* x (pow (sin (* 2 (PI))) 2)) (pow (cos (* 2 (PI))) 2)))) (* x y))))))))
#s(approx (/ (tan (+ (+ (/ (/ x y) 2) (PI)) (PI))) (sin (/ x (* y 2)))) #s(hole binary64 (* -1 (* y (+ (* -2 (/ (sin (* 2 (PI))) (* x (cos (* 2 (PI)))))) (* -1 (/ (+ (* -2 (/ (- (* -1/2 x) (* 1/2 (/ (* x (pow (sin (* 2 (PI))) 2)) (pow (cos (* 2 (PI))) 2)))) x)) (* -1 (/ (- (/ (* (sin (* 2 (PI))) (- (* -1/2 x) (* 1/2 (/ (* x (pow (sin (* 2 (PI))) 2)) (pow (cos (* 2 (PI))) 2))))) (cos (* 2 (PI)))) (* 1/12 (/ (* x (sin (* 2 (PI)))) (cos (* 2 (PI)))))) y))) y)))))))
#s(approx (/ (tan (+ (+ (/ (/ x y) 2) (PI)) (PI))) (sin (/ x (* y 2)))) #s(hole binary64 (* -1 (* y (+ (* -2 (/ (sin (* 2 (PI))) (* x (cos (* 2 (PI)))))) (* -1 (/ (+ (* -2 (/ (- (* -1/2 x) (* 1/2 (/ (* x (pow (sin (* 2 (PI))) 2)) (pow (cos (* 2 (PI))) 2)))) x)) (* -1 (/ (- (+ (* -1 (/ (- (* -2 (/ (- (* 1/48 (pow x 3)) (+ (* -1/4 (/ (* (pow x 2) (* (pow (sin (* 2 (PI))) 2) (- (* -1/2 x) (* 1/2 (/ (* x (pow (sin (* 2 (PI))) 2)) (pow (cos (* 2 (PI))) 2)))))) (pow (cos (* 2 (PI))) 2))) (+ (* -1/8 (* (pow x 2) (- (* -1/2 x) (* 1/2 (/ (* x (pow (sin (* 2 (PI))) 2)) (pow (cos (* 2 (PI))) 2)))))) (* -1/48 (/ (* (pow x 3) (pow (sin (* 2 (PI))) 2)) (pow (cos (* 2 (PI))) 2)))))) x)) (* 1/12 (* x (- (* -1/2 x) (* 1/2 (/ (* x (pow (sin (* 2 (PI))) 2)) (pow (cos (* 2 (PI))) 2))))))) y)) (/ (* (sin (* 2 (PI))) (- (* -1/2 x) (* 1/2 (/ (* x (pow (sin (* 2 (PI))) 2)) (pow (cos (* 2 (PI))) 2))))) (cos (* 2 (PI))))) (* 1/12 (/ (* x (sin (* 2 (PI)))) (cos (* 2 (PI)))))) y))) y)))))))
#s(approx (tan (+ (+ (/ (/ x y) 2) (PI)) (PI))) #s(hole binary64 (+ (* -1 (/ (- (* -1/2 x) (* 1/2 (/ (* x (pow (sin (* 2 (PI))) 2)) (pow (cos (* 2 (PI))) 2)))) y)) (/ (sin (* 2 (PI))) (cos (* 2 (PI)))))))
#s(approx (tan (+ (+ (/ (/ x y) 2) (PI)) (PI))) #s(hole binary64 (+ (* -1 (/ (- (+ (* -1/2 x) (* 1/2 (/ (* x (* (sin (* 2 (PI))) (- (* -1/2 x) (* 1/2 (/ (* x (pow (sin (* 2 (PI))) 2)) (pow (cos (* 2 (PI))) 2)))))) (* y (cos (* 2 (PI))))))) (* 1/2 (/ (* x (pow (sin (* 2 (PI))) 2)) (pow (cos (* 2 (PI))) 2)))) y)) (/ (sin (* 2 (PI))) (cos (* 2 (PI)))))))
#s(approx (tan (+ (+ (/ (/ x y) 2) (PI)) (PI))) #s(hole binary64 (+ (* -1 (/ (- (+ (* -1 (/ (- (* -1 (/ (- (* 1/48 (pow x 3)) (+ (* -1/4 (/ (* (pow x 2) (* (pow (sin (* 2 (PI))) 2) (- (* -1/2 x) (* 1/2 (/ (* x (pow (sin (* 2 (PI))) 2)) (pow (cos (* 2 (PI))) 2)))))) (pow (cos (* 2 (PI))) 2))) (+ (* -1/8 (* (pow x 2) (- (* -1/2 x) (* 1/2 (/ (* x (pow (sin (* 2 (PI))) 2)) (pow (cos (* 2 (PI))) 2)))))) (* -1/48 (/ (* (pow x 3) (pow (sin (* 2 (PI))) 2)) (pow (cos (* 2 (PI))) 2)))))) y)) (* 1/2 (/ (* x (* (sin (* 2 (PI))) (- (* -1/2 x) (* 1/2 (/ (* x (pow (sin (* 2 (PI))) 2)) (pow (cos (* 2 (PI))) 2)))))) (cos (* 2 (PI)))))) y)) (* -1/2 x)) (* 1/2 (/ (* x (pow (sin (* 2 (PI))) 2)) (pow (cos (* 2 (PI))) 2)))) y)) (/ (sin (* 2 (PI))) (cos (* 2 (PI)))))))
#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 (/ (/ (- 1 (sin (+ (neg (/ x y)) (/ (PI) 2)))) (sin (/ x y))) (sin (/ x (* y 2)))) #s(hole binary64 (* (pow y 2) (+ (* -1 (/ (+ (* -2 (/ (cos (* 1/2 (PI))) x)) (* -1 (/ (- (sin (* 1/2 (PI))) (* 4 (/ (* (+ (* -1/12 (pow x 4)) (* -1/48 (pow x 4))) (- 1 (sin (* 1/2 (PI))))) (pow x 4)))) y))) y)) (* 2 (/ (- 1 (sin (* 1/2 (PI)))) (pow x 2)))))))
#s(approx (/ (/ (- 1 (sin (+ (neg (/ x y)) (/ (PI) 2)))) (sin (/ x y))) (sin (/ x (* y 2)))) #s(hole binary64 (* (pow y 2) (+ (* -1 (/ (+ (* -2 (/ (cos (* 1/2 (PI))) x)) (* -1 (/ (- (+ (sin (* 1/2 (PI))) (* -1 (/ (- (* 1/3 (* x (cos (* 1/2 (PI))))) (* -4 (/ (* (cos (* 1/2 (PI))) (+ (* -1/12 (pow x 4)) (* -1/48 (pow x 4)))) (pow x 3)))) y))) (* 4 (/ (* (+ (* -1/12 (pow x 4)) (* -1/48 (pow x 4))) (- 1 (sin (* 1/2 (PI))))) (pow x 4)))) y))) y)) (* 2 (/ (- 1 (sin (* 1/2 (PI)))) (pow x 2)))))))
#s(approx (/ (- 1 (sin (+ (neg (/ x y)) (/ (PI) 2)))) (sin (/ x y))) #s(hole binary64 (* -1 (* y (+ (* -1 (/ (cos (* 1/2 (PI))) y)) (* -1 (/ (- 1 (sin (* 1/2 (PI)))) x)))))))
#s(approx (/ (- 1 (sin (+ (neg (/ x y)) (/ (PI) 2)))) (sin (/ x y))) #s(hole binary64 (* -1 (* y (+ (* -1 (/ (+ (cos (* 1/2 (PI))) (* -1 (/ (- (* -1/2 (* x (sin (* 1/2 (PI))))) (* 1/6 (* x (- 1 (sin (* 1/2 (PI))))))) y))) y)) (* -1 (/ (- 1 (sin (* 1/2 (PI)))) x)))))))
#s(approx (/ (- 1 (sin (+ (neg (/ x y)) (/ (PI) 2)))) (sin (/ x y))) #s(hole binary64 (* -1 (* y (+ (* -1 (/ (+ (cos (* 1/2 (PI))) (* -1 (/ (- (+ (* -1/2 (* x (sin (* 1/2 (PI))))) (* 1/24 (/ (* (pow x 3) (sin (* 1/2 (PI)))) (pow y 2)))) (+ (* -1/6 (/ (* (pow x 2) (- (* -1/2 (* x (sin (* 1/2 (PI))))) (* 1/6 (* x (- 1 (sin (* 1/2 (PI)))))))) (pow y 2))) (+ (* -1/120 (/ (* (pow x 3) (- 1 (sin (* 1/2 (PI))))) (pow y 2))) (* 1/6 (* x (- 1 (sin (* 1/2 (PI))))))))) y))) y)) (* -1 (/ (- 1 (sin (* 1/2 (PI)))) x)))))))
#s(approx (- 1 (sin (+ (neg (/ x y)) (/ (PI) 2)))) #s(hole binary64 (- (+ 1 (* -1 (/ (- (* -1/2 (/ (* (pow x 2) (sin (* 1/2 (PI)))) y)) (* x (cos (* 1/2 (PI))))) y))) (sin (* 1/2 (PI))))))
#s(approx (- 1 (sin (+ (neg (/ x y)) (/ (PI) 2)))) #s(hole binary64 (- (+ 1 (* -1 (/ (- (* -1 (/ (- (* -1/6 (/ (* (pow x 3) (cos (* 1/2 (PI)))) y)) (* -1/2 (* (pow x 2) (sin (* 1/2 (PI)))))) y)) (* x (cos (* 1/2 (PI))))) y))) (sin (* 1/2 (PI))))))
#s(approx (sin (+ (neg (/ x y)) (/ (PI) 2))) #s(hole binary64 (+ (sin (* 1/2 (PI))) (* -1 (/ (+ (* 1/2 (/ (* (pow x 2) (sin (* 1/2 (PI)))) y)) (* x (cos (* 1/2 (PI))))) y)))))
#s(approx (sin (+ (neg (/ x y)) (/ (PI) 2))) #s(hole binary64 (+ (sin (* 1/2 (PI))) (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (pow x 2) (sin (* 1/2 (PI))))) (* 1/6 (/ (* (pow x 3) (cos (* 1/2 (PI)))) y))) y)) (* x (cos (* 1/2 (PI))))) y)))))
#s(approx (sin (/ x y)) #s(hole binary64 (* -1 (/ (+ (* -1 x) (* 1/6 (/ (pow x 3) (pow y 2)))) y))))
#s(approx (sin (/ x y)) #s(hole binary64 (* -1 (/ (+ (* -1 x) (+ (* -1/120 (/ (pow x 5) (pow y 4))) (* 1/6 (/ (pow x 3) (pow y 2))))) y))))
#s(approx (sin (/ x y)) #s(hole binary64 (* -1 (/ (+ (* -1 x) (+ (* -1/120 (/ (pow x 5) (pow y 4))) (+ (* 1/5040 (/ (pow x 7) (pow y 6))) (* 1/6 (/ (pow x 3) (pow y 2)))))) y))))

Calls

6 calls:

Time	Variable		Point	Expression
9.0ms	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 (+ (/ (PI) x) (/ 1/2 y))) x (+ (/ (PI) x) (/ 1/2 y)) (/ (PI) x) (PI) (/ 1/2 y) 1/2 y (/ (/ (- 1 (cos (/ x y))) (sin (/ x y))) (sin (/ x (* y 2)))) (* (* (/ y x) 0) 2) 0 (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/ -1 (sin (+ (+ (* (/ x y) 1/2) (PI)) (/ (PI) 2)))) (sin (+ (+ (* (/ x y) 1/2) (PI)) (/ (PI) 2))) (+ (+ (* (/ x y) 1/2) (PI)) (/ (PI) 2)) (+ (* (/ x y) 1/2) (PI)) (/ x y) (/ (PI) 2) 2 (/ (tan (+ (+ (/ (/ x y) 2) (PI)) (PI))) (sin (/ x (* y 2)))) (tan (+ (+ (/ (/ x y) 2) (PI)) (PI))) (+ (+ (/ (/ x y) 2) (PI)) (PI)) (+ (/ (/ x y) 2) (PI)) (* (+ (/ (PI) x) (/ 1/2 y)) x) (sin (/ x (* y 2))) (/ x (* y 2)) (* y 2) (/ (/ (- 1 (sin (+ (neg (/ x y)) (/ (PI) 2)))) (sin (/ x y))) (sin (/ x (* y 2)))) (/ (- 1 (sin (+ (neg (/ x y)) (/ (PI) 2)))) (sin (/ x y))) (- 1 (sin (+ (neg (/ x y)) (/ (PI) 2)))) 1 (sin (+ (neg (/ x y)) (/ (PI) 2))) (+ (neg (/ x y)) (/ (PI) 2)) (neg (/ x y)) (sin (/ x y)))
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)) (* x (+ (/ (PI) x) (/ 1/2 y))) x (+ (/ (PI) x) (/ 1/2 y)) (/ (PI) x) (PI) (/ 1/2 y) 1/2 y (/ (/ (- 1 (cos (/ x y))) (sin (/ x y))) (sin (/ x (* y 2)))) (* (* (/ y x) 0) 2) 0 (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/ -1 (sin (+ (+ (* (/ x y) 1/2) (PI)) (/ (PI) 2)))) (sin (+ (+ (* (/ x y) 1/2) (PI)) (/ (PI) 2))) (+ (+ (* (/ x y) 1/2) (PI)) (/ (PI) 2)) (+ (* (/ x y) 1/2) (PI)) (/ x y) (/ (PI) 2) 2 (/ (tan (+ (+ (/ (/ x y) 2) (PI)) (PI))) (sin (/ x (* y 2)))) (tan (+ (+ (/ (/ x y) 2) (PI)) (PI))) (+ (+ (/ (/ x y) 2) (PI)) (PI)) (+ (/ (/ x y) 2) (PI)) (* (+ (/ (PI) x) (/ 1/2 y)) x) (sin (/ x (* y 2))) (/ x (* y 2)) (* y 2) (/ (/ (- 1 (sin (+ (neg (/ x y)) (/ (PI) 2)))) (sin (/ x y))) (sin (/ x (* y 2)))) (/ (- 1 (sin (+ (neg (/ x y)) (/ (PI) 2)))) (sin (/ x y))) (- 1 (sin (+ (neg (/ x y)) (/ (PI) 2)))) 1 (sin (+ (neg (/ x y)) (/ (PI) 2))) (+ (neg (/ x y)) (/ (PI) 2)) (neg (/ x y)) (sin (/ x y)))
6.0ms	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 (+ (/ (PI) x) (/ 1/2 y))) x (+ (/ (PI) x) (/ 1/2 y)) (/ (PI) x) (PI) (/ 1/2 y) 1/2 y (/ (/ (- 1 (cos (/ x y))) (sin (/ x y))) (sin (/ x (* y 2)))) (* (* (/ y x) 0) 2) 0 (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/ -1 (sin (+ (+ (* (/ x y) 1/2) (PI)) (/ (PI) 2)))) (sin (+ (+ (* (/ x y) 1/2) (PI)) (/ (PI) 2))) (+ (+ (* (/ x y) 1/2) (PI)) (/ (PI) 2)) (+ (* (/ x y) 1/2) (PI)) (/ x y) (/ (PI) 2) 2 (/ (tan (+ (+ (/ (/ x y) 2) (PI)) (PI))) (sin (/ x (* y 2)))) (tan (+ (+ (/ (/ x y) 2) (PI)) (PI))) (+ (+ (/ (/ x y) 2) (PI)) (PI)) (+ (/ (/ x y) 2) (PI)) (* (+ (/ (PI) x) (/ 1/2 y)) x) (sin (/ x (* y 2))) (/ x (* y 2)) (* y 2) (/ (/ (- 1 (sin (+ (neg (/ x y)) (/ (PI) 2)))) (sin (/ x y))) (sin (/ x (* y 2)))) (/ (- 1 (sin (+ (neg (/ x y)) (/ (PI) 2)))) (sin (/ x y))) (- 1 (sin (+ (neg (/ x y)) (/ (PI) 2)))) 1 (sin (+ (neg (/ x y)) (/ (PI) 2))) (+ (neg (/ x y)) (/ (PI) 2)) (neg (/ x y)) (sin (/ x y)))
6.0ms	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 (+ (/ (PI) x) (/ 1/2 y))) x (+ (/ (PI) x) (/ 1/2 y)) (/ (PI) x) (PI) (/ 1/2 y) 1/2 y (/ (/ (- 1 (cos (/ x y))) (sin (/ x y))) (sin (/ x (* y 2)))) (* (* (/ y x) 0) 2) 0 (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/ -1 (sin (+ (+ (* (/ x y) 1/2) (PI)) (/ (PI) 2)))) (sin (+ (+ (* (/ x y) 1/2) (PI)) (/ (PI) 2))) (+ (+ (* (/ x y) 1/2) (PI)) (/ (PI) 2)) (+ (* (/ x y) 1/2) (PI)) (/ x y) (/ (PI) 2) 2 (/ (tan (+ (+ (/ (/ x y) 2) (PI)) (PI))) (sin (/ x (* y 2)))) (tan (+ (+ (/ (/ x y) 2) (PI)) (PI))) (+ (+ (/ (/ x y) 2) (PI)) (PI)) (+ (/ (/ x y) 2) (PI)) (* (+ (/ (PI) x) (/ 1/2 y)) x) (sin (/ x (* y 2))) (/ x (* y 2)) (* y 2) (/ (/ (- 1 (sin (+ (neg (/ x y)) (/ (PI) 2)))) (sin (/ x y))) (sin (/ x (* y 2)))) (/ (- 1 (sin (+ (neg (/ x y)) (/ (PI) 2)))) (sin (/ x y))) (- 1 (sin (+ (neg (/ x y)) (/ (PI) 2)))) 1 (sin (+ (neg (/ x y)) (/ (PI) 2))) (+ (neg (/ x y)) (/ (PI) 2)) (neg (/ x y)) (sin (/ x y)))
5.0ms	y	@	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 (+ (/ (PI) x) (/ 1/2 y))) x (+ (/ (PI) x) (/ 1/2 y)) (/ (PI) x) (PI) (/ 1/2 y) 1/2 y (/ (/ (- 1 (cos (/ x y))) (sin (/ x y))) (sin (/ x (* y 2)))) (* (* (/ y x) 0) 2) 0 (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/ -1 (sin (+ (+ (* (/ x y) 1/2) (PI)) (/ (PI) 2)))) (sin (+ (+ (* (/ x y) 1/2) (PI)) (/ (PI) 2))) (+ (+ (* (/ x y) 1/2) (PI)) (/ (PI) 2)) (+ (* (/ x y) 1/2) (PI)) (/ x y) (/ (PI) 2) 2 (/ (tan (+ (+ (/ (/ x y) 2) (PI)) (PI))) (sin (/ x (* y 2)))) (tan (+ (+ (/ (/ x y) 2) (PI)) (PI))) (+ (+ (/ (/ x y) 2) (PI)) (PI)) (+ (/ (/ x y) 2) (PI)) (* (+ (/ (PI) x) (/ 1/2 y)) x) (sin (/ x (* y 2))) (/ x (* y 2)) (* y 2) (/ (/ (- 1 (sin (+ (neg (/ x y)) (/ (PI) 2)))) (sin (/ x y))) (sin (/ x (* y 2)))) (/ (- 1 (sin (+ (neg (/ x y)) (/ (PI) 2)))) (sin (/ x y))) (- 1 (sin (+ (neg (/ x y)) (/ (PI) 2)))) 1 (sin (+ (neg (/ x y)) (/ (PI) 2))) (+ (neg (/ x y)) (/ (PI) 2)) (neg (/ x y)) (sin (/ x y)))

rewrite173.0ms (5%)

Memory

-1.4MiB live, 63.8MiB allocated; 13ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1525	10837
0	1575	8501
0	8360	8215

Stop Event

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

Counts

244 → 297

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

eval48.0ms (1.4%)

Memory: 1.8MiB live, 34.1MiB allocated; 4ms collecting garbage
Compiler: Compiled 15 957 to 2 146 computations (86.6% saved)

prune46.0ms (1.3%)

Memory

-4.8MiB live, 38.3MiB allocated; 5ms collecting garbage

Pruning

48 alts after pruning (44 fresh and 4 done)

	Pruned	Kept	Total
New	353	18	371
Fresh	6	26	32
Picked	4	1	5
Done	0	3	3
Total	363	48	411

Accuracy

63.3%

Counts

411 → 48

Alt Table

Click to see full alt table

Status	Accuracy	Program
	7.6%	(/.f64 (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 (/.f64 x y)) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 (/.f64 x y)) (cos.f64 (/.f64 x y)) (.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x y)))))) (sin.f64 (/.f64 x y))) (sin.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))))
	5.4%	(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (sin.f64 (/.f64 (+.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)) (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64))) (fma.f64 (/.f64 x y) (/.f64 x y) (-.f64 (.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64))) (.f64 (/.f64 x y) (/.f64 (PI.f64) #s(literal 2 binary64)))))))) (sin.f64 (/.f64 x y))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
	5.3%	(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (sin.f64 #s(approx (+ (/ x y) (/ (PI) 2)) (/.f64 x y)))) (sin.f64 (/.f64 x y))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
	7.2%	(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (sin.f64 #s(approx (+ (/ x y) (/ (PI) 2)) (.f64 x (fma.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) x) (pow.f64 y #s(literal -1 binary64))))))) (sin.f64 (/.f64 x y))) (sin.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))))
	5.5%	(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (sin.f64 #s(approx (+ (neg (/ x y)) (/ (PI) 2)) (/.f64 (neg.f64 x) y)))) (sin.f64 (/.f64 x y))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
	7.3%	(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (sin.f64 #s(approx (+ (neg (/ x y)) (/ (PI) 2)) (.f64 x (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) x)) (pow.f64 y #s(literal -1 binary64))))))) (sin.f64 (/.f64 x y))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
	7.6%	(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x y))) (sin.f64 (/.f64 x y))) (sin.f64 (/.f64 x (+.f64 y y))))
	7.5%	(/.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)))))
	7.6%	(/.f64 (/.f64 (+.f64 (tan.f64 #s(approx (+ (/ (/ x y) 2) (PI)) (.f64 (+.f64 (/.f64 (PI.f64) x) (/.f64 #s(literal 1/2 binary64) y)) x))) (tan.f64 (PI.f64))) (-.f64 #s(literal 1 binary64) (.f64 (tan.f64 #s(approx (+ (/ (/ x y) 2) (PI)) (.f64 (+.f64 (/.f64 (PI.f64) x) (/.f64 #s(literal 1/2 binary64) y)) x))) (tan.f64 (PI.f64))))) (sin.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))))
	44.7%	(/.f64 (/.f64 (sin.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) (cos.f64 (/.f64 x (.f64 y #s(literal 2 binary64))))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
	44.6%	(/.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)))))
	46.0%	(/.f64 (/.f64 (neg.f64 (sin.f64 (/.f64 x (.f64 #s(literal 2 binary64) y)))) (cos.f64 (+.f64 (PI.f64) (/.f64 x (.f64 #s(literal 2 binary64) y))))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
	7.6%	(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (sin.f64 (/.f64 x y))) (/.f64 (cos.f64 (/.f64 x y)) (sin.f64 (/.f64 x y)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
	7.1%	(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x y))) (.f64 (sin.f64 (/.f64 x y)) (sin.f64 (/.f64 x (.f64 y #s(literal 2 binary64))))))
	44.7%	(/.f64 (tan.f64 (/.f64 x (+.f64 y y))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
	7.3%	(/.f64 (tan.f64 (+.f64 (+.f64 (+.f64 (PI.f64) (/.f64 x (.f64 #s(literal 2 binary64) y))) (PI.f64)) (PI.f64))) (sin.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))))
	7.3%	(/.f64 (tan.f64 (+.f64 (+.f64 #s(approx (+ (/ (/ x y) 2) (PI)) (.f64 (+.f64 (/.f64 (PI.f64) x) (/.f64 #s(literal 1/2 binary64) y)) x)) (PI.f64)) (PI.f64))) (sin.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))))
	7.3%	(/.f64 (tan.f64 (+.f64 #s(approx (+ (/ (/ x y) 2) (PI)) (fma.f64 (/.f64 x y) #s(literal 1/2 binary64) (PI.f64))) (PI.f64))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
	2.7%	(/.f64 (tan.f64 (+.f64 #s(approx (+ (/ (/ x y) 2) (PI)) (.f64 (/.f64 (+.f64 (pow.f64 (/.f64 (PI.f64) x) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 3 binary64))) (fma.f64 (/.f64 (PI.f64) x) (/.f64 (PI.f64) x) (-.f64 (.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal 1/2 binary64) y)) (.f64 (/.f64 (PI.f64) x) (/.f64 #s(literal 1/2 binary64) y))))) x)) (PI.f64))) (sin.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))))
	7.5%	(/.f64 (tan.f64 (+.f64 #s(approx (+ (/ (/ x y) 2) (PI)) (.f64 #s(approx (+ (/ (PI) x) (/ 1/2 y)) (/.f64 #s(literal 1/2 binary64) y)) x)) (PI.f64))) (sin.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))))
	52.4%	#s(approx (/ (/ (- 1 (cos (/ x y))) (sin (/ x y))) (sin (/ x (* y 2)))) (fma.f64 (*.f64 (/.f64 x y) (/.f64 x y)) #s(literal 1/8 binary64) #s(literal 1 binary64)))
	6.7%	#s(approx (/ (/ (- 1 (cos (/ x y))) (sin (/ x y))) (sin (/ x (* y 2)))) (/.f64 (-.f64 #s(literal 1 binary64) (sin.f64 (-.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) (/.f64 x y)))) (.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y))) (sin.f64 (/.f64 x y)))))
	44.9%	#s(approx (/ (/ (- 1 (cos (/ x y))) (sin (/ x y))) (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))
	45.0%	#s(approx (/ (/ (- 1 (cos (/ x y))) (sin (/ x y))) (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 #s(literal 0 binary64) (*.f64 #s(literal 1 binary64) x))) y))
✓	3.1%	#s(approx (/ (/ (- 1 (cos (/ x y))) (sin (/ x y))) (sin (/ x (* y 2)))) #s(approx (* (* (/ y x) 0) 2) #s(literal 0 binary64)))
✓	46.7%	#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)))
	57.1%	#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)))
	56.9%	#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (pow.f64 (sin.f64 #s(approx (+ (neg (* (/ x y) 1/2)) (/ (PI) 2)) (*.f64 #s(literal 1/2 binary64) (-.f64 (PI.f64) (/.f64 x y))))) #s(literal -1 binary64)))
	52.7%	#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (pow.f64 #s(approx (cos (* (/ x y) 1/2)) (fma.f64 #s(literal -1/2 binary64) (.f64 x (/.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) (PI.f64))) y)) (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))))) #s(literal -1 binary64)))
	56.5%	#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)))))
	57.7%	#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal -1 binary64) (fma.f64 (sin.f64 (fma.f64 (/.f64 x y) #s(literal 1/2 binary64) (PI.f64))) (cos.f64 (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 (cos.f64 (fma.f64 (/.f64 x y) #s(literal 1/2 binary64) (PI.f64))) (sin.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 (-.f64 (.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 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64)))) (-.f64 (fma.f64 (/.f64 x y) #s(literal 1/2 binary64) (PI.f64)) (/.f64 (PI.f64) #s(literal 2 binary64)))))))
	54.3%	#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal -1 binary64) (sin.f64 (+.f64 (/.f64 (+.f64 (pow.f64 (.f64 (/.f64 x y) #s(literal 1/2 binary64)) #s(literal 3 binary64)) (pow.f64 (PI.f64) #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 (PI.f64) (PI.f64)) (.f64 (.f64 (/.f64 x y) #s(literal 1/2 binary64)) (PI.f64))))) (/.f64 (PI.f64) #s(literal 2 binary64))))))
	56.9%	#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 x (+.f64 (/.f64 (PI.f64) x) (/.f64 #s(literal 1/2 binary64) 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 #s(approx (+ (+ (* (/ x y) 1/2) (PI)) (/ (PI) 2)) (*.f64 #s(literal 1/2 binary64) (/.f64 x y))))))
✓	57.7%	#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)))))
	54.6%	#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal -1 binary64) (cos.f64 (/.f64 (+.f64 (pow.f64 (.f64 (/.f64 x y) #s(literal 1/2 binary64)) #s(literal 3 binary64)) (pow.f64 (PI.f64) #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 (PI.f64) (PI.f64)) (.f64 (.f64 (/.f64 x y) #s(literal 1/2 binary64)) (PI.f64))))))))
	44.8%	#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 x (/.f64 (fma.f64 (PI.f64) y (.f64 x #s(literal 1/2 binary64))) (*.f64 x y)))))))
	23.3%	#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 x (/.f64 (+.f64 (pow.f64 (/.f64 (PI.f64) x) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 3 binary64))) (fma.f64 (/.f64 (PI.f64) x) (/.f64 (PI.f64) x) (-.f64 (.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal 1/2 binary64) y)) (*.f64 (/.f64 (PI.f64) x) (/.f64 #s(literal 1/2 binary64) y))))))))))
	57.6%	#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 x #s(approx (+ (/ (PI) x) (/ 1/2 y)) (/.f64 (+.f64 (PI.f64) (.f64 #s(literal 1/2 binary64) (/.f64 x y))) x)))))))
	5.0%	#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 x #s(approx (+ (/ (PI) x) (/ 1/2 y)) (/.f64 #s(literal 1/2 binary64) y)))))))
	5.3%	#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 #s(literal 1/2 binary64) (/.f64 x y))))))
	50.5%	#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 x (-.f64 (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 x #s(literal -1 binary64))) (*.f64 y y)) (/.f64 #s(literal 0 binary64) y)) #s(literal -1 binary64)))))
	47.1%	#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 #s(literal -1/8 binary64) (.f64 (.f64 x x) (/.f64 #s(literal -1 binary64) (.f64 y y))) #s(literal -1 binary64)) (.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 x #s(literal 0 binary64)) y))))))
	50.2%	#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal -1 binary64) #s(approx (cos (+ (* (/ x y) 1/2) (PI))) (+.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 #s(literal 1/8 binary64) (/.f64 (.f64 (.f64 x x) #s(literal -1 binary64)) y) (.f64 #s(literal 1/2 binary64) (.f64 x #s(literal 0 binary64)))) y))))))
	54.3%	#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (exp.f64 #s(approx (* (log (cos (* (/ x y) 1/2))) -1) (neg.f64 (log.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y))))))))
	52.3%	#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(approx (/ -1 (cos (+ (* (/ x y) 1/2) (PI)))) (-.f64 (.f64 #s(literal 1/2 binary64) (.f64 (/.f64 x y) (/.f64 (cos.f64 (.f64 #s(literal 3/2 binary64) (PI.f64))) (pow.f64 (sin.f64 (.f64 #s(literal 3/2 binary64) (PI.f64))) #s(literal 2 binary64))))) (pow.f64 (sin.f64 (*.f64 #s(literal 3/2 binary64) (PI.f64))) #s(literal -1 binary64)))))
✓	56.7%	#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(literal 1 binary64))

Compiler

Compiled 3 996 to 1 530 computations (61.7% saved)

regimes92.0ms (2.6%)

Memory

4.8MiB live, 43.4MiB allocated; 3ms collecting garbage

Counts

76 → 2

Calls

Call 1

Inputs
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(literal 1 binary64))
#s(approx (/ (/ (- 1 (cos (/ x y))) (sin (/ x y))) (sin (/ x (* y 2)))) #s(approx (* (* (/ y x) 0) 2) #s(literal 0 binary64)))
#s(approx (/ (/ (- 1 (cos (/ x y))) (sin (/ x y))) (sin (/ x (* y 2)))) (.f64 (.f64 (/.f64 y x) #s(literal 0 binary64)) #s(literal 2 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 (/ (/ (- 1 (cos (/ x y))) (sin (/ x y))) (sin (/ x (* y 2)))) (fma.f64 (*.f64 (/.f64 x y) (/.f64 x y)) #s(literal 1/8 binary64) #s(literal 1 binary64)))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal -1 binary64) #s(approx (cos (+ (* (/ x y) 1/2) (PI))) (fma.f64 x (-.f64 (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 x #s(literal -1 binary64))) (*.f64 y y)) (/.f64 #s(literal 0 binary64) y)) #s(literal -1 binary64)))))
#s(approx (/ (/ (- 1 (cos (/ x y))) (sin (/ x y))) (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 #s(literal 0 binary64) (*.f64 #s(literal 1 binary64) x))) y))
#s(approx (/ (/ (- 1 (cos (/ x y))) (sin (/ x y))) (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 #s(literal -1 binary64) #s(approx (cos (+ (* (/ x y) 1/2) (PI))) (+.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 #s(literal 1/8 binary64) (/.f64 (.f64 (.f64 x x) #s(literal -1 binary64)) y) (.f64 #s(literal 1/2 binary64) (.f64 x #s(literal 0 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 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal 1/8 binary64) (/.f64 (.f64 (.f64 x x) #s(literal -1 binary64)) y) (.f64 #s(literal 1/2 binary64) (.f64 x #s(literal 0 binary64)))) y) #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 #s(literal -1/8 binary64) (.f64 (.f64 x x) (/.f64 #s(literal -1 binary64) (.f64 y y))) #s(literal -1 binary64)) (.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 x #s(literal 0 binary64)) 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 #s(literal 1/2 binary64) (/.f64 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 x #s(approx (+ (/ (PI) x) (/ 1/2 y)) (/.f64 #s(literal 1/2 binary64) y)))))))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal -1 binary64) (sin.f64 #s(approx (+ (+ (* (/ x y) 1/2) (PI)) (/ (PI) 2)) (*.f64 #s(literal 1/2 binary64) (/.f64 x y))))))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64)))))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal -1 binary64) (cos.f64 (fma.f64 (/.f64 x y) #s(literal 1/2 binary64) (PI.f64)))))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal -1 binary64) (cos.f64 #s(approx (+ (* (/ x y) 1/2) (PI)) (*.f64 x (+.f64 (/.f64 (PI.f64) x) (/.f64 #s(literal 1/2 binary64) y)))))))
#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) (cos.f64 #s(approx (+ (* (/ x y) 1/2) (PI)) (.f64 x (/.f64 (fma.f64 (PI.f64) y (.f64 x #s(literal 1/2 binary64))) (*.f64 x y)))))))
(/.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) (cos.f64 #s(approx (+ (* (/ x y) 1/2) (PI)) (.f64 x #s(approx (+ (/ (PI) x) (/ 1/2 y)) (/.f64 (+.f64 (PI.f64) (.f64 #s(literal 1/2 binary64) (/.f64 x 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 x (+.f64 (/.f64 (PI.f64) x) (/.f64 #s(literal 1/2 binary64) y)))) (/.f64 (PI.f64) #s(literal 2 binary64))))))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (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 (+ (neg (* (/ 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)))) (/.f64 #s(literal -1 binary64) (sin.f64 (/.f64 (-.f64 (.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 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64)))) (-.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)))) (pow.f64 (sin.f64 #s(approx (+ (neg (* (/ x y) 1/2)) (/ (PI) 2)) (/.f64 (.f64 #s(literal 1/2 binary64) (-.f64 (.f64 y (PI.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 (+ (neg (* (/ x y) 1/2)) (/ (PI) 2)) (*.f64 (neg.f64 x) (fma.f64 #s(literal -1/2 binary64) (/.f64 (PI.f64) x) (/.f64 #s(literal 1/2 binary64) y))))) #s(literal -1 binary64)))
(/.f64 (tan.f64 (/.f64 x (+.f64 y y))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
(/.f64 (tan.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))))
(/.f64 (tan.f64 (+.f64 #s(approx (+ (/ (/ x y) 2) (PI)) (.f64 #s(approx (+ (/ (PI) x) (/ 1/2 y)) (/.f64 #s(literal 1/2 binary64) y)) x)) (PI.f64))) (sin.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))))
(/.f64 (tan.f64 (+.f64 (PI.f64) (/.f64 x (.f64 #s(literal 2 binary64) y)))) (sin.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))))
(/.f64 (tan.f64 (+.f64 (/.f64 x (.f64 y #s(literal 2 binary64))) (PI.f64))) (sin.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))))
(/.f64 (tan.f64 (+.f64 #s(approx (+ (/ (/ x y) 2) (PI)) (fma.f64 (/.f64 x y) #s(literal 1/2 binary64) (PI.f64))) (PI.f64))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
(/.f64 (tan.f64 (+.f64 (+.f64 (+.f64 (PI.f64) (/.f64 x (.f64 #s(literal 2 binary64) y))) (PI.f64)) (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 (+.f64 (+.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64)) (PI.f64)) (PI.f64))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
(/.f64 (tan.f64 (+.f64 #s(approx (+ (/ (/ x y) 2) (PI)) (.f64 (+.f64 (/.f64 (PI.f64) x) (/.f64 #s(literal 1/2 binary64) y)) x)) (PI.f64))) (sin.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))))
(/.f64 (tan.f64 (+.f64 (+.f64 #s(approx (+ (/ (/ x y) 2) (PI)) (.f64 (+.f64 (/.f64 (PI.f64) x) (/.f64 #s(literal 1/2 binary64) y)) x)) (PI.f64)) (PI.f64))) (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 (/.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)))) (exp.f64 #s(approx (* (log (cos (* (/ x y) 1/2))) -1) (neg.f64 (log.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y))))))))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (exp.f64 (.f64 (log.f64 (cos.f64 (.f64 (/.f64 x y) #s(literal 1/2 binary64)))) #s(literal -1 binary64))))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (pow.f64 #s(approx (cos (* (/ x y) 1/2)) (fma.f64 #s(literal -1/2 binary64) (.f64 x (/.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) (PI.f64))) y)) (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))))) #s(literal -1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x y))) (.f64 (sin.f64 (/.f64 x y)) (sin.f64 (/.f64 x (.f64 #s(literal 2 binary64) y)))))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x y))) (.f64 (sin.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 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 (/.f64 (-.f64 #s(literal 1 binary64) (sin.f64 #s(approx (+ (/ x y) (/ (PI) 2)) (/.f64 x y)))) (sin.f64 (/.f64 x y))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
#s(approx (/ (/ (- 1 (cos (/ x y))) (sin (/ x y))) (sin (/ x (* y 2)))) (/.f64 (-.f64 #s(literal 1 binary64) (sin.f64 (-.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) (/.f64 x y)))) (.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y))) (sin.f64 (/.f64 x y)))))
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (sin.f64 #s(approx (+ (neg (/ x y)) (/ (PI) 2)) (/.f64 (neg.f64 x) y)))) (sin.f64 (/.f64 x y))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
(/.f64 (/.f64 (sin.f64 (/.f64 x (.f64 #s(literal 2 binary64) y))) (cos.f64 (/.f64 x (.f64 #s(literal 2 binary64) y)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
(/.f64 (/.f64 (sin.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) (cos.f64 (/.f64 x (.f64 y #s(literal 2 binary64))))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
(/.f64 (/.f64 (neg.f64 (sin.f64 (/.f64 x (.f64 #s(literal 2 binary64) y)))) (cos.f64 (+.f64 (PI.f64) (/.f64 x (.f64 #s(literal 2 binary64) y))))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (sin.f64 (+.f64 (/.f64 x y) (/.f64 (PI.f64) #s(literal 2 binary64))))) (sin.f64 (/.f64 x y))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (sin.f64 (+.f64 (neg.f64 (/.f64 x y)) (/.f64 (PI.f64) #s(literal 2 binary64))))) (sin.f64 (/.f64 x y))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
(/.f64 (/.f64 (sin.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64))) (cos.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
(/.f64 (/.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 (.f64 (/.f64 x y) #s(literal 1/2 binary64)) #s(literal 3 binary64)) (pow.f64 (PI.f64) #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 (PI.f64) (PI.f64)) (.f64 (.f64 (/.f64 x y) #s(literal 1/2 binary64)) (PI.f64))))))))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal -1 binary64) (sin.f64 (+.f64 (/.f64 (+.f64 (pow.f64 (.f64 (/.f64 x y) #s(literal 1/2 binary64)) #s(literal 3 binary64)) (pow.f64 (PI.f64) #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 (PI.f64) (PI.f64)) (.f64 (.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) (cos.f64 #s(approx (+ (* (/ x y) 1/2) (PI)) (.f64 x (/.f64 (+.f64 (pow.f64 (/.f64 (PI.f64) x) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 3 binary64))) (fma.f64 (/.f64 (PI.f64) x) (/.f64 (PI.f64) x) (-.f64 (.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal 1/2 binary64) y)) (*.f64 (/.f64 (PI.f64) x) (/.f64 #s(literal 1/2 binary64) y))))))))))
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (sin.f64 #s(approx (+ (/ x y) (/ (PI) 2)) (.f64 x (fma.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) x) (pow.f64 y #s(literal -1 binary64))))))) (sin.f64 (/.f64 x y))) (sin.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))))
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (sin.f64 #s(approx (+ (neg (/ x y)) (/ (PI) 2)) (.f64 x (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) x)) (pow.f64 y #s(literal -1 binary64))))))) (sin.f64 (/.f64 x y))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal -1 binary64) (fma.f64 (sin.f64 (fma.f64 (/.f64 x y) #s(literal 1/2 binary64) (PI.f64))) (cos.f64 (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 (cos.f64 (fma.f64 (/.f64 x y) #s(literal 1/2 binary64) (PI.f64))) (sin.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))))))
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (sin.f64 (/.f64 x y))) (/.f64 (cos.f64 (/.f64 x y)) (sin.f64 (/.f64 x y)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (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 (/ -1 (cos (+ (* (/ x y) 1/2) (PI)))) (-.f64 (.f64 #s(literal 1/2 binary64) (.f64 (/.f64 x y) (/.f64 (cos.f64 (.f64 #s(literal 3/2 binary64) (PI.f64))) (pow.f64 (sin.f64 (.f64 #s(literal 3/2 binary64) (PI.f64))) #s(literal 2 binary64))))) (pow.f64 (sin.f64 (*.f64 #s(literal 3/2 binary64) (PI.f64))) #s(literal -1 binary64)))))
(/.f64 (tan.f64 (+.f64 #s(approx (+ (/ (/ x y) 2) (PI)) (.f64 (/.f64 (+.f64 (pow.f64 (/.f64 (PI.f64) x) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 3 binary64))) (fma.f64 (/.f64 (PI.f64) x) (/.f64 (PI.f64) x) (-.f64 (.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal 1/2 binary64) y)) (.f64 (/.f64 (PI.f64) x) (/.f64 #s(literal 1/2 binary64) y))))) x)) (PI.f64))) (sin.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 (sin.f64 (/.f64 x y)) #s(literal -1 binary64)) (/.f64 (cos.f64 (/.f64 x y)) (sin.f64 (/.f64 x y)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
(/.f64 (/.f64 (+.f64 (tan.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64))) (tan.f64 (PI.f64))) (-.f64 #s(literal 1 binary64) (.f64 (tan.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64))) (tan.f64 (PI.f64))))) (sin.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))))
(/.f64 (/.f64 (+.f64 (tan.f64 #s(approx (+ (/ (/ x y) 2) (PI)) (.f64 (+.f64 (/.f64 (PI.f64) x) (/.f64 #s(literal 1/2 binary64) y)) x))) (tan.f64 (PI.f64))) (-.f64 #s(literal 1 binary64) (.f64 (tan.f64 #s(approx (+ (/ (/ x y) 2) (PI)) (.f64 (+.f64 (/.f64 (PI.f64) x) (/.f64 #s(literal 1/2 binary64) y)) x))) (tan.f64 (PI.f64))))) (sin.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))))
#s(approx (/ (/ (- 1 (cos (/ x y))) (sin (/ x y))) (sin (/ x (* y 2)))) (/.f64 (fma.f64 x (fma.f64 x (-.f64 (fma.f64 x (.f64 (/.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) (PI.f64))) y) #s(literal -1/12 binary64)) (sin.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)))) (.f64 #s(literal -5/12 binary64) (-.f64 #s(literal 1 binary64) (sin.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)))))) (.f64 (.f64 #s(literal -2 binary64) y) (cos.f64 (.f64 #s(literal 1/2 binary64) (PI.f64))))) (.f64 (.f64 #s(literal 2 binary64) (.f64 y y)) (-.f64 #s(literal 1 binary64) (sin.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)))))) (*.f64 x x)))
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (sin.f64 (/.f64 (+.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)) (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64))) (fma.f64 (/.f64 x y) (/.f64 x y) (-.f64 (.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64))) (.f64 (/.f64 x y) (/.f64 (PI.f64) #s(literal 2 binary64)))))))) (sin.f64 (/.f64 x y))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
(/.f64 (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 (/.f64 x y)) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 (/.f64 x y)) (cos.f64 (/.f64 x y)) (.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x y)))))) (sin.f64 (/.f64 x y))) (sin.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))))

Outputs

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

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

Calls

5 calls:

18.0ms	y
18.0ms	x
18.0ms	(*.f64 y #s(literal 2 binary64))
17.0ms	(/.f64 x (*.f64 y #s(literal 2 binary64)))
16.0ms	(/.f64 (tan.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))))

Results

Accuracy	Segments	Branch
57.7%	1	`(*.f64 y #s(literal 2 binary64))`
59.6%	2	`(/.f64 x (*.f64 y #s(literal 2 binary64)))`
59.6%	2	`(/.f64 (tan.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))))`
57.7%	1	`x`
57.7%	1	`y`

Compiler

Compiled 23 to 21 computations (8.7% saved)

regimes17.0ms (0.5%)

Memory

3.7MiB live, 10.7MiB allocated; 1ms collecting garbage

Counts

65 → 2

Calls

Call 1

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

Outputs

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

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

Calls

1 calls:

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
59.6%	2	`(/.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)

regimes21.0ms (0.6%)

Memory

-4.4MiB live, 13.4MiB allocated; 0ms collecting garbage

Counts

15 → 2

Calls

Call 1

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

Outputs

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

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

Calls

5 calls:

4.0ms	(*.f64 y #s(literal 2 binary64))
4.0ms	y
4.0ms	x
4.0ms	(/.f64 x (*.f64 y #s(literal 2 binary64)))
4.0ms	(/.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
56.7%	1	`x`
58.9%	2	`(*.f64 y #s(literal 2 binary64))`
58.9%	2	`y`
59.1%	2	`(/.f64 x (*.f64 y #s(literal 2 binary64)))`
56.7%	1	`(/.f64 (tan.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))))`

Compiler

Compiled 23 to 21 computations (8.7% saved)

regimes16.0ms (0.5%)

Memory

2.8MiB live, 10.5MiB allocated; 1ms collecting garbage

Accuracy

Total -35.8b remaining (-129.3%)

Threshold costs -35.8b (-129.3%)

Counts

14 → 1

Calls

Call 1

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

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

Calls

4 calls:

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

Results

Accuracy	Segments	Branch
56.7%	1	`(/.f64 (tan.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))))`
56.7%	1	`(*.f64 y #s(literal 2 binary64))`
56.7%	1	`y`
56.7%	1	`(/.f64 x (*.f64 y #s(literal 2 binary64)))`

Compiler

Compiled 22 to 19 computations (13.6% saved)

bsearch1.0ms (0%)

Memory

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

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	5.441174017188859	6.016890129001869

Compiler

Compiled 16 to 13 computations (18.8% saved)

bsearch1.0ms (0%)

Memory

0.3MiB live, 0.3MiB allocated; 0ms collecting garbage

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	5.441174017188859	6.016890129001869

Compiler

Compiled 16 to 13 computations (18.8% saved)

bsearch0.0ms (0%)

Memory

0.2MiB live, 0.2MiB allocated; 0ms collecting garbage

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	4.974330544662366e+74	2.0137768988813506e+76

Compiler

Compiled 12 to 13 computations (-8.3% saved)

simplify37.0ms (1.1%)

Memory

-1.4MiB live, 6.6MiB allocated; 0ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	42	185
1	51	185
2	71	185
3	133	185
4	501	185
5	4053	185

Stop Event

1×	node limit

Calls

Call 1

Inputs
(if (<=.f64 (/.f64 (tan.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (.f64 y #s(literal 2 binary64))))) #s(literal 6 binary64)) #s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal -1 binary64) (fma.f64 (sin.f64 (fma.f64 (/.f64 x y) #s(literal 1/2 binary64) (PI.f64))) (cos.f64 (/.f64 (PI.f64) #s(literal 2 binary64))) (.f64 (cos.f64 (fma.f64 (/.f64 x y) #s(literal 1/2 binary64) (PI.f64))) (sin.f64 (/.f64 (PI.f64) #s(literal 2 binary64))))))) #s(approx (/ (tan (/ x ( y 2))) (sin (/ x (* y 2)))) #s(literal 1 binary64)))
(if (<=.f64 (/.f64 (tan.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (.f64 y #s(literal 2 binary64))))) #s(literal 6 binary64)) #s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal -1 binary64) (cos.f64 (fma.f64 (/.f64 x y) #s(literal 1/2 binary64) (PI.f64))))) #s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(literal 1 binary64)))
(if (<=.f64 (/.f64 x (.f64 y #s(literal 2 binary64))) #s(literal 499999999999999963269890588240599461754401607599733943631323209890181152768 binary64)) #s(approx (/ (tan (/ x ( y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (cos.f64 (.f64 (/.f64 x y) #s(literal 1/2 binary64))))) #s(approx (/ (tan (/ x ( y 2))) (sin (/ x (* y 2)))) #s(literal 1 binary64)))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(literal 1 binary64))

Outputs
(if (<=.f64 (/.f64 (tan.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (.f64 y #s(literal 2 binary64))))) #s(literal 6 binary64)) #s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal -1 binary64) (fma.f64 (sin.f64 (fma.f64 (/.f64 x y) #s(literal 1/2 binary64) (PI.f64))) (cos.f64 (/.f64 (PI.f64) #s(literal 2 binary64))) (.f64 (cos.f64 (fma.f64 (/.f64 x y) #s(literal 1/2 binary64) (PI.f64))) (sin.f64 (/.f64 (PI.f64) #s(literal 2 binary64))))))) #s(approx (/ (tan (/ x ( y 2))) (sin (/ x (* y 2)))) #s(literal 1 binary64)))
(if (<=.f64 (/.f64 (tan.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (.f64 y #s(literal 2 binary64))))) #s(literal 6 binary64)) #s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal -1 binary64) (cos.f64 (fma.f64 (/.f64 x y) #s(literal 1/2 binary64) (PI.f64))))) #s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(literal 1 binary64)))
(if (<=.f64 (/.f64 x (.f64 y #s(literal 2 binary64))) #s(literal 499999999999999963269890588240599461754401607599733943631323209890181152768 binary64)) #s(approx (/ (tan (/ x ( y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (cos.f64 (.f64 (/.f64 x y) #s(literal 1/2 binary64))))) #s(approx (/ (tan (/ x ( y 2))) (sin (/ x (* y 2)))) #s(literal 1 binary64)))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(literal 1 binary64))

derivations109.0ms (3.1%)

Memory

-5.6MiB live, 2.2MiB allocated; 0ms collecting garbage

Stop Event

1×

fuel

Compiler

Compiled 185 to 43 computations (76.8% saved)

preprocess40.0ms (1.1%)

Memory: 7.7MiB live, 23.0MiB allocated; 2ms collecting garbage
Compiler: Compiled 744 to 270 computations (63.7% saved)

end0.0ms (0%)

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

start0.0ms (0%)

analyze155.0ms (4.5%)

sample1.5s (42.1%)

explain142.0ms (4.1%)

preprocess169.0ms (4.9%)

eval0.0ms (0%)

prune0.0ms (0%)

series19.0ms (0.5%)

rewrite159.0ms (4.6%)

eval9.0ms (0.3%)

prune10.0ms (0.3%)

series57.0ms (1.7%)

rewrite213.0ms (6.2%)

eval35.0ms (1%)

prune21.0ms (0.6%)

series123.0ms (3.5%)

rewrite175.0ms (5%)

eval43.0ms (1.2%)

prune30.0ms (0.9%)

series45.0ms (1.3%)

rewrite173.0ms (5%)

eval48.0ms (1.4%)

prune46.0ms (1.3%)

regimes92.0ms (2.6%)

regimes17.0ms (0.5%)

regimes21.0ms (0.6%)

regimes16.0ms (0.5%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch0.0ms (0%)

simplify37.0ms (1.1%)

derivations109.0ms (3.1%)

preprocess40.0ms (1.1%)

end0.0ms (0%)

Profiling