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

analyze177.0ms (3.8%)

Memory

19.3MiB live, 110.7MiB allocated; 11ms collecting garbage

Algorithm

1×

Search

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

Compiler

Compiled 15 to 10 computations (33.3% saved)

sample2.3s (48.9%)

Memory

22.6MiB live, 1 374.3MiB allocated; 1.2s collecting garbage

Samples

1.1s	4 038×	1	valid
459.0ms	4 217×	0	valid
0.0ms	1×	2	valid

Precisions

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

ival-sin: 584.0ms (54.3% of total)

ival-tan: 234.0ms (21.8% of total)

ival-div!: 152.0ms (14.1% of total)

adjust: 56.0ms (5.2% of total)

ival-mult!: 49.0ms (4.6% of total)

Bogosity

explain150.0ms (3.2%)

Memory

30.6MiB live, 176.6MiB allocated; 18ms collecting garbage

FPErrors

Click to see full error table

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

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`sin.f64`	`(sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))`	sensitivity	102	0
`tan.f64`	`(tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))`	sensitivity	102	0
`/.f64`	`(/.f64 (tan.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))))`	u/u	26	0
↳	`(/.f64 x (*.f64 y #s(literal 2 binary64)))`	underflow	26
↳	`(tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))`	underflow	26
↳	`(/.f64 x (*.f64 y #s(literal 2 binary64)))`	underflow	26
↳	`(sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))`	underflow	26
`sin.f64`	`(sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))`	oflow-rescue	24	0
↳	`(/.f64 x (*.f64 y #s(literal 2 binary64)))`	overflow	24
`tan.f64`	`(tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))`	oflow-rescue	24	0
↳	`(/.f64 x (*.f64 y #s(literal 2 binary64)))`	overflow	24

Confusion

	Predicted +	Predicted -
+	151	0
-	1	104

Precision

0.993421052631579

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	151	0	0
-	1	0	104

Precision?

0.993421052631579

Recall?

1.0

Freqs

test

number	freq
0	104
1	26
2	126

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

41.0ms	246×	1	valid
16.0ms	266×	0	valid

Compiler

Compiled 89 to 28 computations (68.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 39.0ms

ival-sin: 14.0ms (35.6% of total)

ival-tan: 12.0ms (30.5% of total)

ival-div!: 7.0ms (17.8% of total)

adjust: 3.0ms (7.6% of total)

ival-mult!: 3.0ms (7.6% of total)

preprocess200.0ms (4.2%)

Memory

12.6MiB live, 243.7MiB allocated; 43ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Calls

Call 1

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

Outputs

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

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

Symmetry

(abs x)

(abs y)

Compiler

Compiled 13 to 8 computations (38.5% saved)

eval0.0ms (0%)

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

prune0.0ms (0%)

Memory

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

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	46.7%	(/.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)

series23.0ms (0.5%)

Memory

-23.0MiB live, 23.6MiB allocated; 6ms collecting garbage

Counts

8 → 37

Calls

Call 1

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

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

Calls

6 calls:

Time	Variable		Point	Expression
6.0ms	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))))
6.0ms	y	@	inf	((/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (tan (/ x (* y 2))) (/ x (* y 2)) x (* y 2) y 2 (sin (/ x (* y 2))))
4.0ms	y	@	-inf	((/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (tan (/ x (* y 2))) (/ x (* y 2)) x (* y 2) y 2 (sin (/ x (* y 2))))
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	@	-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))))

rewrite171.0ms (3.6%)

Memory

32.9MiB live, 169.5MiB allocated; 26ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Counts

45 → 57

Calls

Call 1

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

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

eval11.0ms (0.2%)

Memory: -32.4MiB live, 15.0MiB allocated; 3ms collecting garbage
Compiler: Compiled 2 487 to 417 computations (83.2% saved)

prune11.0ms (0.2%)

Memory

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

Pruning

15 alts after pruning (15 fresh and 0 done)

	Pruned	Kept	Total
New	55	15	70
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	56	15	71

Accuracy

61.8%

Counts

71 → 15

Alt Table

Click to see full alt table

Status	Accuracy	Program
	8.3%	(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x y))) (sin.f64 (/.f64 x y))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
	8.0%	(/.f64 (/.f64 (+.f64 (tan.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64))) (tan.f64 (PI.f64))) (-.f64 #s(literal 1 binary64) (.f64 (tan.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64))) (tan.f64 (PI.f64))))) (sin.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))))
	46.5%	(/.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)))))
▶	46.5%	(/.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)))))
	46.4%	(/.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)))))
	46.7%	(/.f64 (tan.f64 (/.f64 x (+.f64 y y))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
	33.1%	(/.f64 (tan.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) #s(approx (sin (/ x ( y 2))) (/.f64 (fma.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (.f64 y y)) #s(literal -1/48 binary64) (.f64 #s(literal 1/2 binary64) x)) y)))
	33.3%	(/.f64 (tan.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) #s(approx (sin (/ x ( y 2))) (.f64 (fma.f64 #s(literal -1/48 binary64) (/.f64 (.f64 x x) (pow.f64 y #s(literal 3 binary64))) (/.f64 #s(literal 1/2 binary64) y)) x)))
▶	41.5%	(/.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))))
	7.9%	(/.f64 (tan.f64 (+.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64)) (PI.f64))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
▶	7.8%	(/.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)))))
	41.4%	(/.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)))))
	45.0%	#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)))
▶	56.9%	#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)))
▶	55.7%	#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(literal 1 binary64))

Compiler

Compiled 614 to 434 computations (29.3% saved)

series47.0ms (1%)

Memory

12.5MiB live, 58.3MiB allocated; 4ms collecting garbage

Counts

29 → 137

Calls

Call 1

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

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

Calls

6 calls:

Time	Variable		Point	Expression
9.0ms	y	@	inf	((/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (pow (cos (* (/ x y) 1/2)) -1) (cos (* (/ x y) 1/2)) (* (/ x y) 1/2) (/ x y) x y 1/2 -1 (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) 1 (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (tan (/ x (* y 2))) (/ x (* y 2)) (* y 2) 2 (sin (/ x (* y 2))) (/ (tan (+ (+ (/ (/ x y) 2) (PI)) (PI))) (sin (/ x (* y 2)))) (tan (+ (+ (/ (/ x y) 2) (PI)) (PI))) (+ (+ (/ (/ x y) 2) (PI)) (PI)) (+ (/ (/ x y) 2) (PI)) (/ (/ x y) 2) (PI) (sin (/ x (* y 2))) (/ (/ (sin (/ x y)) (+ 1 (cos (/ x y)))) (sin (/ x (* y 2)))) (/ (sin (/ x y)) (+ 1 (cos (/ x y)))) (sin (/ x y)) (+ 1 (cos (/ x y))) (cos (/ x y)))
9.0ms	x	@	inf	((/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (pow (cos (* (/ x y) 1/2)) -1) (cos (* (/ x y) 1/2)) (* (/ x y) 1/2) (/ x y) x y 1/2 -1 (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) 1 (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (tan (/ x (* y 2))) (/ x (* y 2)) (* y 2) 2 (sin (/ x (* y 2))) (/ (tan (+ (+ (/ (/ x y) 2) (PI)) (PI))) (sin (/ x (* y 2)))) (tan (+ (+ (/ (/ x y) 2) (PI)) (PI))) (+ (+ (/ (/ x y) 2) (PI)) (PI)) (+ (/ (/ x y) 2) (PI)) (/ (/ x y) 2) (PI) (sin (/ x (* y 2))) (/ (/ (sin (/ x y)) (+ 1 (cos (/ x y)))) (sin (/ x (* y 2)))) (/ (sin (/ x y)) (+ 1 (cos (/ x y)))) (sin (/ x y)) (+ 1 (cos (/ x y))) (cos (/ x y)))
8.0ms	y	@	-inf	((/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (pow (cos (* (/ x y) 1/2)) -1) (cos (* (/ x y) 1/2)) (* (/ x y) 1/2) (/ x y) x y 1/2 -1 (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) 1 (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (tan (/ x (* y 2))) (/ x (* y 2)) (* y 2) 2 (sin (/ x (* y 2))) (/ (tan (+ (+ (/ (/ x y) 2) (PI)) (PI))) (sin (/ x (* y 2)))) (tan (+ (+ (/ (/ x y) 2) (PI)) (PI))) (+ (+ (/ (/ x y) 2) (PI)) (PI)) (+ (/ (/ x y) 2) (PI)) (/ (/ x y) 2) (PI) (sin (/ x (* y 2))) (/ (/ (sin (/ x y)) (+ 1 (cos (/ x y)))) (sin (/ x (* y 2)))) (/ (sin (/ x y)) (+ 1 (cos (/ x y)))) (sin (/ x y)) (+ 1 (cos (/ x y))) (cos (/ x y)))
7.0ms	x	@	0	((/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (pow (cos (* (/ x y) 1/2)) -1) (cos (* (/ x y) 1/2)) (* (/ x y) 1/2) (/ x y) x y 1/2 -1 (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) 1 (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (tan (/ x (* y 2))) (/ x (* y 2)) (* y 2) 2 (sin (/ x (* y 2))) (/ (tan (+ (+ (/ (/ x y) 2) (PI)) (PI))) (sin (/ x (* y 2)))) (tan (+ (+ (/ (/ x y) 2) (PI)) (PI))) (+ (+ (/ (/ x y) 2) (PI)) (PI)) (+ (/ (/ x y) 2) (PI)) (/ (/ x y) 2) (PI) (sin (/ x (* y 2))) (/ (/ (sin (/ x y)) (+ 1 (cos (/ x y)))) (sin (/ x (* y 2)))) (/ (sin (/ x y)) (+ 1 (cos (/ x y)))) (sin (/ x y)) (+ 1 (cos (/ x y))) (cos (/ x y)))
5.0ms	x	@	-inf	((/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (pow (cos (* (/ x y) 1/2)) -1) (cos (* (/ x y) 1/2)) (* (/ x y) 1/2) (/ x y) x y 1/2 -1 (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) 1 (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (tan (/ x (* y 2))) (/ x (* y 2)) (* y 2) 2 (sin (/ x (* y 2))) (/ (tan (+ (+ (/ (/ x y) 2) (PI)) (PI))) (sin (/ x (* y 2)))) (tan (+ (+ (/ (/ x y) 2) (PI)) (PI))) (+ (+ (/ (/ x y) 2) (PI)) (PI)) (+ (/ (/ x y) 2) (PI)) (/ (/ x y) 2) (PI) (sin (/ x (* y 2))) (/ (/ (sin (/ x y)) (+ 1 (cos (/ x y)))) (sin (/ x (* y 2)))) (/ (sin (/ x y)) (+ 1 (cos (/ x y)))) (sin (/ x y)) (+ 1 (cos (/ x y))) (cos (/ x y)))

rewrite268.0ms (5.7%)

Memory

-10.3MiB live, 268.4MiB allocated; 81ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1095	7963
0	1134	6933
1	7356	6083
0	9581	5775

Stop Event

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

Counts

166 → 248

Calls

Call 1

Inputs
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (pow.f64 (cos.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64))) #s(literal -1 binary64)))
(pow.f64 (cos.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64))) #s(literal -1 binary64))
(cos.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64)))
(*.f64 (/.f64 x y) #s(literal 1/2 binary64))
(/.f64 x y)
x
y
#s(literal 1/2 binary64)
#s(literal -1 binary64)
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(literal 1 binary64))
#s(literal 1 binary64)
(/.f64 (tan.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) #s(approx (sin (/ x ( y 2))) (*.f64 (/.f64 x y) #s(literal 1/2 binary64))))
(tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))
(/.f64 x (*.f64 y #s(literal 2 binary64)))
(*.f64 y #s(literal 2 binary64))
#s(literal 2 binary64)
#s(approx (sin (/ x (* y 2))) (*.f64 (/.f64 x y) #s(literal 1/2 binary64)))
(/.f64 (tan.f64 (+.f64 (+.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))
(PI.f64)
(sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))
(/.f64 (/.f64 (sin.f64 (/.f64 x y)) (+.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x y)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
(/.f64 (sin.f64 (/.f64 x y)) (+.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x y))))
(sin.f64 (/.f64 x y))
(+.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x y)))
(cos.f64 (/.f64 x y))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(hole binary64 1))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(hole binary64 (+ 1 (* 1/8 (/ (pow x 2) (pow y 2))))))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(hole binary64 (+ 1 (* (pow x 2) (+ (* 5/384 (/ (pow x 2) (pow y 4))) (* 1/8 (/ 1 (pow y 2))))))))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(hole binary64 (+ 1 (* (pow x 2) (+ (* (pow x 2) (+ (* 61/46080 (/ (pow x 2) (pow y 6))) (* 5/384 (/ 1 (pow y 4))))) (* 1/8 (/ 1 (pow y 2))))))))
#s(approx (pow (cos (* (/ x y) 1/2)) -1) #s(hole binary64 1))
#s(approx (pow (cos (* (/ x y) 1/2)) -1) #s(hole binary64 (+ 1 (* 1/8 (/ (pow x 2) (pow y 2))))))
#s(approx (pow (cos (* (/ x y) 1/2)) -1) #s(hole binary64 (+ 1 (* (pow x 2) (+ (* 5/384 (/ (pow x 2) (pow y 4))) (* 1/8 (/ 1 (pow y 2))))))))
#s(approx (pow (cos (* (/ x y) 1/2)) -1) #s(hole binary64 (+ 1 (* (pow x 2) (+ (* (pow x 2) (+ (* 61/46080 (/ (pow x 2) (pow y 6))) (* 5/384 (/ 1 (pow y 4))))) (* 1/8 (/ 1 (pow y 2))))))))
#s(approx (cos (* (/ x y) 1/2)) #s(hole binary64 1))
#s(approx (cos (* (/ x y) 1/2)) #s(hole binary64 (+ 1 (* -1/8 (/ (pow x 2) (pow y 2))))))
#s(approx (cos (* (/ x y) 1/2)) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 1/384 (/ (pow x 2) (pow y 4))) (* 1/8 (/ 1 (pow y 2))))))))
#s(approx (cos (* (/ x y) 1/2)) #s(hole binary64 (+ 1 (* (pow x 2) (- (* (pow x 2) (+ (* -1/46080 (/ (pow x 2) (pow y 6))) (* 1/384 (/ 1 (pow y 4))))) (* 1/8 (/ 1 (pow y 2))))))))
#s(approx (* (/ x y) 1/2) #s(hole binary64 (* 1/2 (/ x y))))
#s(approx (/ x y) #s(hole binary64 (/ x y)))
#s(approx x #s(hole binary64 x))
#s(approx (tan (/ x (* y 2))) #s(hole binary64 (* 1/2 (/ x y))))
#s(approx (tan (/ x (* y 2))) #s(hole binary64 (* x (+ (* 1/24 (/ (pow x 2) (pow y 3))) (* 1/2 (/ 1 y))))))
#s(approx (tan (/ x (* y 2))) #s(hole binary64 (* x (+ (* (pow x 2) (+ (* 1/240 (/ (pow x 2) (pow y 5))) (* 1/24 (/ 1 (pow y 3))))) (* 1/2 (/ 1 y))))))
#s(approx (tan (/ x (* y 2))) #s(hole binary64 (* x (+ (* (pow x 2) (+ (* (pow x 2) (+ (* 17/40320 (/ (pow x 2) (pow y 7))) (* 1/240 (/ 1 (pow y 5))))) (* 1/24 (/ 1 (pow y 3))))) (* 1/2 (/ 1 y))))))
#s(approx (/ x (* y 2)) #s(hole binary64 (* 1/2 (/ x y))))
#s(approx (sin (/ x (* y 2))) #s(hole binary64 (* 1/2 (/ x y))))
#s(approx (sin (/ x (* y 2))) #s(hole binary64 (* x (+ (* -1/48 (/ (pow x 2) (pow y 3))) (* 1/2 (/ 1 y))))))
#s(approx (sin (/ x (* y 2))) #s(hole binary64 (* x (+ (* (pow x 2) (- (* 1/3840 (/ (pow x 2) (pow y 5))) (* 1/48 (/ 1 (pow y 3))))) (* 1/2 (/ 1 y))))))
#s(approx (sin (/ x (* y 2))) #s(hole binary64 (* x (+ (* (pow x 2) (- (* (pow x 2) (+ (* -1/645120 (/ (pow x 2) (pow y 7))) (* 1/3840 (/ 1 (pow y 5))))) (* 1/48 (/ 1 (pow y 3))))) (* 1/2 (/ 1 y))))))
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#s(approx (tan (/ x (* y 2))) #s(hole binary64 (* -1 (/ (- (+ (* -1/2 x) (+ (* -1/3840 (/ (pow x 5) (pow y 4))) (+ (* 1/645120 (/ (pow x 7) (pow y 6))) (* 1/48 (/ (pow x 3) (pow y 2)))))) (+ (* -1/8 (/ (* (pow x 2) (- (* -1/3840 (pow x 5)) (+ (* -1/8 (* (pow x 2) (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3))))) (* -1/768 (pow x 5))))) (pow y 6))) (+ (* -1/8 (/ (* (pow x 2) (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3)))) (pow y 4))) (+ (* -1/768 (/ (pow x 5) (pow y 4))) (+ (* 1/92160 (/ (pow x 7) (pow y 6))) (+ (* 1/384 (/ (* (pow x 4) (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3)))) (pow y 6))) (* 1/16 (/ (pow x 3) (pow y 2))))))))) y))))
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#s(approx (sin (/ x (* y 2))) #s(hole binary64 (* -1 (/ (+ (* -1/2 x) (+ (* -1/3840 (/ (pow x 5) (pow y 4))) (* 1/48 (/ (pow x 3) (pow y 2))))) y))))
#s(approx (sin (/ x (* y 2))) #s(hole binary64 (* -1 (/ (+ (* -1/2 x) (+ (* -1/3840 (/ (pow x 5) (pow y 4))) (+ (* 1/645120 (/ (pow x 7) (pow y 6))) (* 1/48 (/ (pow x 3) (pow y 2)))))) y))))
#s(approx (/ (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))) #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)) (+ 1 (cos (/ x y)))) (sin (/ x (* y 2)))) #s(hole binary64 (- (+ 1 (* -1/6 (/ (pow x 2) (pow y 2)))) (* -1 (/ (+ (* 1/24 (pow x 3)) (* 1/4 (pow x 3))) (* x (pow y 2)))))))
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Outputs
#s(approx (/ (/ (sin (/ x y)) (+ 1 (cos (/ x y)))) (sin (/ x (* y 2)))) (pow.f64 (cos.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64))) #s(literal -1 binary64)))
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(/.f64 #s(literal -1 binary64) (cos.f64 (fma.f64 (/.f64 x y) #s(literal 1/2 binary64) (PI.f64))))
(exp.f64 (.f64 (log.f64 (cos.f64 (.f64 (/.f64 x y) #s(literal 1/2 binary64)))) #s(literal -1 binary64)))
(+.f64 (cosh.f64 (.f64 (log.f64 (cos.f64 (.f64 (/.f64 x y) #s(literal 1/2 binary64)))) #s(literal -1 binary64))) (sinh.f64 (.f64 (log.f64 (cos.f64 (.f64 (/.f64 x y) #s(literal 1/2 binary64)))) #s(literal -1 binary64))))
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(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)))))
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(*.f64 (/.f64 x y) #s(literal 1/2 binary64))
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(/.f64 (*.f64 #s(literal 1/2 binary64) x) y)
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x
y
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#s(approx (/ (sin (/ x y)) (+ 1 (cos (/ 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 (/ (sin (/ x y)) (+ 1 (cos (/ 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 (/ (sin (/ x y)) (+ 1 (cos (/ 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)) (+ 1 (cos (/ x y)))) (sin (/ x (* y 2)))) (-.f64 (fma.f64 #s(literal -1/6 binary64) (/.f64 (.f64 x x) (.f64 y y)) #s(literal 1 binary64)) (neg.f64 (/.f64 (/.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 7/24 binary64)) x) (.f64 y y)))))
#s(approx (/ (/ (sin (/ x y)) (+ 1 (cos (/ x y)))) (sin (/ x (* y 2)))) (-.f64 (+.f64 (fma.f64 #s(literal -1/6 binary64) (/.f64 (.f64 x x) (.f64 y y)) #s(literal 1 binary64)) (/.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/120 binary64)) (pow.f64 y #s(literal 4 binary64)))) (fma.f64 #s(literal -1 binary64) (+.f64 (/.f64 (/.f64 (fma.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal -7/640 binary64) (.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal -1/48 binary64))) x) (pow.f64 y #s(literal 4 binary64))) (/.f64 (/.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 7/24 binary64)) x) (.f64 y y))) (neg.f64 (/.f64 (.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 x x) (.f64 #s(literal 1 binary64) (/.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 7/24 binary64)) x))) (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 7/24 binary64))) (.f64 (pow.f64 y #s(literal 4 binary64)) x))))))
#s(approx (/ (/ (sin (/ x y)) (+ 1 (cos (/ x y)))) (sin (/ x (* y 2)))) (-.f64 (-.f64 (+.f64 (fma.f64 #s(literal -1/6 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 -1/5040 binary64) (/.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/120 binary64)) (pow.f64 y #s(literal 4 binary64))))) #s(literal 1 binary64)) (neg.f64 (/.f64 (.f64 (fma.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal -7/640 binary64) (.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal -1/48 binary64))) (fma.f64 #s(literal -1/6 binary64) (.f64 x x) (.f64 #s(literal 1 binary64) (/.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 7/24 binary64)) x)))) (.f64 (pow.f64 y #s(literal 6 binary64)) x)))) (fma.f64 (/.f64 (.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 x x) (.f64 #s(literal 1 binary64) (/.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 7/24 binary64)) x))) (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 7/24 binary64))) (.f64 (pow.f64 y #s(literal 4 binary64)) x)) #s(literal -1 binary64) (fma.f64 (.f64 (/.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 7/24 binary64)) x) (/.f64 (-.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/120 binary64)) (.f64 #s(literal -1 binary64) (fma.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 7/24 binary64)) (/.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 x x) (.f64 #s(literal 1 binary64) (/.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 7/24 binary64)) x))) x) (/.f64 (fma.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal -7/640 binary64) (.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal -1/48 binary64))) x)))) (pow.f64 y #s(literal 6 binary64)))) #s(literal -1 binary64) (fma.f64 #s(literal -1 binary64) (+.f64 (/.f64 (/.f64 (fma.f64 #s(literal 1/322560 binary64) (pow.f64 x #s(literal 7 binary64)) (fma.f64 #s(literal 1/7680 binary64) (pow.f64 x #s(literal 7 binary64)) (.f64 (pow.f64 x #s(literal 7 binary64)) #s(literal 1/640 binary64)))) x) (pow.f64 y #s(literal 6 binary64))) (/.f64 (/.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 7/24 binary64)) x) (.f64 y y))) (neg.f64 (/.f64 (/.f64 (fma.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal -7/640 binary64) (.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal -1/48 binary64))) x) (pow.f64 y #s(literal 4 binary64)))))))))
#s(approx (/ (sin (/ x y)) (+ 1 (cos (/ x y)))) (neg.f64 (/.f64 (-.f64 (fma.f64 #s(literal 1/12 binary64) (/.f64 (pow.f64 x #s(literal 3 binary64)) (.f64 y y)) (.f64 #s(literal -1/2 binary64) x)) (/.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/8 binary64)) (.f64 y y))) y)))
#s(approx (/ (sin (/ x y)) (+ 1 (cos (/ x y)))) (neg.f64 (/.f64 (-.f64 (fma.f64 #s(literal -1/2 binary64) x (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)))) (fma.f64 (/.f64 (.f64 (.f64 #s(literal -1/24 binary64) (pow.f64 x #s(literal 3 binary64))) (.f64 x x)) (pow.f64 y #s(literal 4 binary64))) #s(literal -1/4 binary64) (fma.f64 #s(literal -1/96 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 1/8 binary64)) (*.f64 y y))))) y)))
#s(approx (/ (sin (/ x y)) (+ 1 (cos (/ x y)))) (neg.f64 (/.f64 (-.f64 (fma.f64 #s(literal -1/2 binary64) x (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))) (/.f64 (.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 3 binary64))) (.f64 y y))))) (fma.f64 (/.f64 (.f64 (-.f64 (.f64 #s(literal -1/240 binary64) (pow.f64 x #s(literal 5 binary64))) (fma.f64 #s(literal -1/96 binary64) (pow.f64 x #s(literal 5 binary64)) (.f64 (.f64 #s(literal -1/4 binary64) (.f64 x x)) (.f64 #s(literal -1/24 binary64) (pow.f64 x #s(literal 3 binary64)))))) (.f64 x x)) (pow.f64 y #s(literal 6 binary64))) #s(literal -1/4 binary64) (fma.f64 (/.f64 (.f64 (.f64 #s(literal -1/24 binary64) (pow.f64 x #s(literal 3 binary64))) (.f64 x x)) (pow.f64 y #s(literal 4 binary64))) #s(literal -1/4 binary64) (fma.f64 #s(literal -1/96 binary64) (/.f64 (pow.f64 x #s(literal 5 binary64)) (pow.f64 y #s(literal 4 binary64))) (fma.f64 #s(literal 1/2880 binary64) (/.f64 (pow.f64 x #s(literal 7 binary64)) (pow.f64 y #s(literal 6 binary64))) (fma.f64 (/.f64 (.f64 (.f64 #s(literal -1/24 binary64) (pow.f64 x #s(literal 3 binary64))) (pow.f64 x #s(literal 4 binary64))) (pow.f64 y #s(literal 6 binary64))) #s(literal 1/48 binary64) (/.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/8 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)))

eval38.0ms (0.8%)

Memory: 24.8MiB live, 69.5MiB allocated; 5ms collecting garbage
Compiler: Compiled 9 835 to 1 364 computations (86.1% saved)

prune24.0ms (0.5%)

Memory

1.0MiB live, 46.0MiB allocated; 6ms collecting garbage

Pruning

25 alts after pruning (24 fresh and 1 done)

	Pruned	Kept	Total
New	250	19	269
Fresh	5	5	10
Picked	4	1	5
Done	0	0	0
Total	259	25	284

Accuracy

62.5%

Counts

284 → 25

Alt Table

Click to see full alt table

Status	Accuracy	Program
	8.3%	(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x y))) (sin.f64 (/.f64 x y))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
	8.0%	(/.f64 (/.f64 (+.f64 (tan.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64))) (tan.f64 (PI.f64))) (-.f64 #s(literal 1 binary64) (.f64 (tan.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64))) (tan.f64 (PI.f64))))) (sin.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))))
	46.5%	(/.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)))))
	7.8%	(/.f64 (/.f64 (sin.f64 (/.f64 x y)) (/.f64 (.f64 (sin.f64 (/.f64 x y)) (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)))))
	46.1%	(/.f64 (/.f64 (sin.f64 (/.f64 x y)) (+.f64 #s(literal 1 binary64) (sin.f64 (+.f64 (/.f64 x y) (/.f64 (PI.f64) #s(literal 2 binary64)))))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
	45.9%	(/.f64 (/.f64 (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)))))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
	46.5%	(/.f64 (/.f64 (sin.f64 (/.f64 x y)) (+.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x y)))) (sin.f64 (/.f64 x (+.f64 y y))))
▶	46.4%	(/.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)))))
	46.7%	(/.f64 (tan.f64 (/.f64 x (+.f64 y y))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
	7.8%	(/.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)))))
	7.9%	(/.f64 (tan.f64 (+.f64 #s(approx (+ (/ (/ x y) 2) (PI)) (.f64 (/.f64 x y) #s(literal 1/2 binary64))) (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 (+.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)))))
▶	46.4%	(/.f64 (sin.f64 (/.f64 x y)) (.f64 (+.f64 (cos.f64 (/.f64 x y)) #s(literal 1 binary64)) (sin.f64 (/.f64 x (.f64 #s(literal 2 binary64) y)))))
	45.0%	#s(approx (/ (/ (sin (/ x y)) (+ 1 (cos (/ x y)))) (sin (/ x (* y 2)))) (fma.f64 (/.f64 (.f64 x x) (.f64 y y)) #s(literal 1/8 binary64) #s(literal 1 binary64)))
	43.7%	#s(approx (/ (/ (sin (/ x y)) (+ 1 (cos (/ 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))
	43.7%	#s(approx (/ (/ (sin (/ x y)) (+ 1 (cos (/ 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))
▶	2.8%	#s(approx (/ (/ (sin (/ x y)) (+ 1 (cos (/ x y)))) (sin (/ x (* y 2)))) (.f64 (.f64 (/.f64 y x) #s(literal 0 binary64)) #s(literal 2 binary64)))
	56.9%	#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (pow.f64 (fma.f64 (sin.f64 (.f64 (/.f64 x y) #s(literal 1/2 binary64))) (cos.f64 (/.f64 (PI.f64) #s(literal 2 binary64))) (.f64 (cos.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64))) (sin.f64 (/.f64 (PI.f64) #s(literal 2 binary64))))) #s(literal -1 binary64)))
▶	56.9%	#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)))
▶	56.3%	#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (pow.f64 (sin.f64 (+.f64 (neg.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64))) (/.f64 (PI.f64) #s(literal 2 binary64)))) #s(literal -1 binary64)))
	56.9%	#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)))))
	56.7%	#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)))))
	53.2%	#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (.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))))
	53.2%	#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))))
✓	55.7%	#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(literal 1 binary64))

Compiler

Compiled 1 233 to 844 computations (31.5% saved)

series67.0ms (1.4%)

Memory

-32.6MiB live, 109.4MiB allocated; 20ms collecting garbage

Counts

42 → 216

Calls

Call 1

Inputs
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (pow.f64 (sin.f64 (fma.f64 (/.f64 x y) #s(literal 1/2 binary64) (/.f64 (PI.f64) #s(literal 2 binary64)))) #s(literal -1 binary64)))
(pow.f64 (sin.f64 (fma.f64 (/.f64 x y) #s(literal 1/2 binary64) (/.f64 (PI.f64) #s(literal 2 binary64)))) #s(literal -1 binary64))
(sin.f64 (fma.f64 (/.f64 x y) #s(literal 1/2 binary64) (/.f64 (PI.f64) #s(literal 2 binary64))))
(fma.f64 (/.f64 x y) #s(literal 1/2 binary64) (/.f64 (PI.f64) #s(literal 2 binary64)))
(/.f64 x y)
x
y
#s(literal 1/2 binary64)
(/.f64 (PI.f64) #s(literal 2 binary64))
(PI.f64)
#s(literal 2 binary64)
#s(literal -1 binary64)
#s(approx (/ (/ (sin (/ x y)) (+ 1 (cos (/ 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(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 (sin.f64 (/.f64 x y)) (.f64 (+.f64 (cos.f64 (/.f64 x y)) #s(literal 1 binary64)) (sin.f64 (/.f64 x (.f64 #s(literal 2 binary64) y)))))
(sin.f64 (/.f64 x y))
(.f64 (+.f64 (cos.f64 (/.f64 x y)) #s(literal 1 binary64)) (sin.f64 (/.f64 x (.f64 #s(literal 2 binary64) y))))
(+.f64 (cos.f64 (/.f64 x y)) #s(literal 1 binary64))
(cos.f64 (/.f64 x y))
#s(literal 1 binary64)
(sin.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y)))
(/.f64 x (*.f64 #s(literal 2 binary64) y))
(*.f64 #s(literal 2 binary64) y)
(/.f64 (/.f64 (neg.f64 (sin.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64)))) (cos.f64 (+.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64)) (PI.f64)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
(/.f64 (neg.f64 (sin.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64)))) (cos.f64 (+.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64)) (PI.f64))))
(neg.f64 (sin.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64))))
(sin.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64)))
(/.f64 (/.f64 x y) #s(literal 2 binary64))
(cos.f64 (+.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64)) (PI.f64)))
(+.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64)) (PI.f64))
(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 (pow (sin (+ (* (/ x y) 1/2) (/ (PI) 2))) -1) #s(hole binary64 (/ 1 (sin (* 1/2 (PI))))))
#s(approx (pow (sin (+ (* (/ x y) 1/2) (/ (PI) 2))) -1) #s(hole binary64 (+ (* -1/2 (/ (* x (cos (* 1/2 (PI)))) (* y (pow (sin (* 1/2 (PI))) 2)))) (/ 1 (sin (* 1/2 (PI)))))))
#s(approx (pow (sin (+ (* (/ x y) 1/2) (/ (PI) 2))) -1) #s(hole binary64 (+ (* x (- (* x (- (* 1/8 (/ 1 (* (pow y 2) (sin (* 1/2 (PI)))))) (* -1/4 (/ (pow (cos (* 1/2 (PI))) 2) (* (pow y 2) (pow (sin (* 1/2 (PI))) 3)))))) (* 1/2 (/ (cos (* 1/2 (PI))) (* y (pow (sin (* 1/2 (PI))) 2)))))) (/ 1 (sin (* 1/2 (PI)))))))
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#s(approx (/ (/ (sin (/ x y)) (+ 1 (cos (/ x y)))) (sin (/ x (* y 2)))) #s(hole binary64 (- (+ 1 (+ (* -1/6 (/ (pow x 2) (pow y 2))) (* 1/120 (/ (pow x 4) (pow y 4))))) (+ (* -1 (/ (* (+ (* 1/24 (pow x 3)) (* 1/4 (pow x 3))) (- (* -1/6 (pow x 2)) (* -1 (/ (+ (* 1/24 (pow x 3)) (* 1/4 (pow x 3))) x)))) (* x (pow y 4)))) (+ (* -1 (/ (+ (* -1/48 (pow x 5)) (+ (* -1/96 (pow x 5)) (* -1/1920 (pow x 5)))) (* x (pow y 4)))) (* -1 (/ (+ (* 1/24 (pow x 3)) (* 1/4 (pow x 3))) (* x (pow y 2)))))))))
#s(approx (/ (/ (sin (/ x y)) (+ 1 (cos (/ x y)))) (sin (/ x (* y 2)))) #s(hole binary64 (- (+ 1 (+ (* -1/6 (/ (pow x 2) (pow y 2))) (+ (* -1/5040 (/ (pow x 6) (pow y 6))) (* 1/120 (/ (pow x 4) (pow y 4)))))) (+ (* -1 (/ (* (+ (* -1/48 (pow x 5)) (+ (* -1/96 (pow x 5)) (* -1/1920 (pow x 5)))) (- (* -1/6 (pow x 2)) (* -1 (/ (+ (* 1/24 (pow x 3)) (* 1/4 (pow x 3))) x)))) (* x (pow y 6)))) (+ (* -1 (/ (* (+ (* 1/24 (pow x 3)) (* 1/4 (pow x 3))) (- (* -1/6 (pow x 2)) (* -1 (/ (+ (* 1/24 (pow x 3)) (* 1/4 (pow x 3))) x)))) (* x (pow y 4)))) (+ (* -1 (/ (* (+ (* 1/24 (pow x 3)) (* 1/4 (pow x 3))) (- (* 1/120 (pow x 4)) (+ (* -1 (/ (* (+ (* 1/24 (pow x 3)) (* 1/4 (pow x 3))) (- (* -1/6 (pow x 2)) (* -1 (/ (+ (* 1/24 (pow x 3)) (* 1/4 (pow x 3))) x)))) x)) (* -1 (/ (+ (* -1/48 (pow x 5)) (+ (* -1/96 (pow x 5)) (* -1/1920 (pow x 5)))) x))))) (* x (pow y 6)))) (+ (* -1 (/ (+ (* -1/48 (pow x 5)) (+ (* -1/96 (pow x 5)) (* -1/1920 (pow x 5)))) (* x (pow y 4)))) (+ (* -1 (/ (+ (* 1/322560 (pow x 7)) (+ (* 1/7680 (pow x 7)) (+ (* 1/1440 (pow x 7)) (* 1/1152 (pow x 7))))) (* x (pow y 6)))) (* -1 (/ (+ (* 1/24 (pow x 3)) (* 1/4 (pow x 3))) (* x (pow y 2))))))))))))
#s(approx (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 (/ (sin (/ x y)) (* (+ (cos (/ x y)) 1) (sin (/ x (* 2 y))))) #s(hole binary64 (- (+ 1 (* -1/6 (/ (pow x 2) (pow y 2)))) (* -1 (/ (+ (* 1/24 (pow x 3)) (* 1/4 (pow x 3))) (* x (pow y 2)))))))
#s(approx (/ (sin (/ x y)) (* (+ (cos (/ x y)) 1) (sin (/ x (* 2 y))))) #s(hole binary64 (- (+ 1 (+ (* -1/6 (/ (pow x 2) (pow y 2))) (* 1/120 (/ (pow x 4) (pow y 4))))) (+ (* -1 (/ (* (+ (* 1/24 (pow x 3)) (* 1/4 (pow x 3))) (- (* -1/6 (pow x 2)) (* -1 (/ (+ (* 1/24 (pow x 3)) (* 1/4 (pow x 3))) x)))) (* x (pow y 4)))) (+ (* -1 (/ (+ (* -1/48 (pow x 5)) (+ (* -1/96 (pow x 5)) (* -1/1920 (pow x 5)))) (* x (pow y 4)))) (* -1 (/ (+ (* 1/24 (pow x 3)) (* 1/4 (pow x 3))) (* x (pow y 2)))))))))
#s(approx (/ (sin (/ x y)) (* (+ (cos (/ x y)) 1) (sin (/ x (* 2 y))))) #s(hole binary64 (- (+ 1 (+ (* -1/6 (/ (pow x 2) (pow y 2))) (+ (* -1/5040 (/ (pow x 6) (pow y 6))) (* 1/120 (/ (pow x 4) (pow y 4)))))) (+ (* -1 (/ (* (+ (* -1/48 (pow x 5)) (+ (* -1/96 (pow x 5)) (* -1/1920 (pow x 5)))) (- (* -1/6 (pow x 2)) (* -1 (/ (+ (* 1/24 (pow x 3)) (* 1/4 (pow x 3))) x)))) (* x (pow y 6)))) (+ (* -1 (/ (* (+ (* 1/24 (pow x 3)) (* 1/4 (pow x 3))) (- (* -1/6 (pow x 2)) (* -1 (/ (+ (* 1/24 (pow x 3)) (* 1/4 (pow x 3))) x)))) (* x (pow y 4)))) (+ (* -1 (/ (* (+ (* 1/24 (pow x 3)) (* 1/4 (pow x 3))) (- (* 1/120 (pow x 4)) (+ (* -1 (/ (* (+ (* 1/24 (pow x 3)) (* 1/4 (pow x 3))) (- (* -1/6 (pow x 2)) (* -1 (/ (+ (* 1/24 (pow x 3)) (* 1/4 (pow x 3))) x)))) x)) (* -1 (/ (+ (* -1/48 (pow x 5)) (+ (* -1/96 (pow x 5)) (* -1/1920 (pow x 5)))) x))))) (* x (pow y 6)))) (+ (* -1 (/ (+ (* -1/48 (pow x 5)) (+ (* -1/96 (pow x 5)) (* -1/1920 (pow x 5)))) (* x (pow y 4)))) (+ (* -1 (/ (+ (* 1/322560 (pow x 7)) (+ (* 1/7680 (pow x 7)) (+ (* 1/1440 (pow x 7)) (* 1/1152 (pow x 7))))) (* x (pow y 6)))) (* -1 (/ (+ (* 1/24 (pow x 3)) (* 1/4 (pow x 3))) (* x (pow y 2))))))))))))
#s(approx (sin (/ x y)) #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 (* (+ (cos (/ x y)) 1) (sin (/ x (* 2 y)))) #s(hole binary64 (* -1 (/ (+ (* -1 x) (+ (* 1/24 (/ (pow x 3) (pow y 2))) (* 1/4 (/ (pow x 3) (pow y 2))))) y))))
#s(approx (* (+ (cos (/ x y)) 1) (sin (/ x (* 2 y)))) #s(hole binary64 (* -1 (/ (+ (* -1 x) (+ (* -1/48 (/ (pow x 5) (pow y 4))) (+ (* -1/96 (/ (pow x 5) (pow y 4))) (+ (* -1/1920 (/ (pow x 5) (pow y 4))) (+ (* 1/24 (/ (pow x 3) (pow y 2))) (* 1/4 (/ (pow x 3) (pow y 2)))))))) y))))
#s(approx (* (+ (cos (/ x y)) 1) (sin (/ x (* 2 y)))) #s(hole binary64 (* -1 (/ (+ (* -1 x) (+ (* -1/48 (/ (pow x 5) (pow y 4))) (+ (* -1/96 (/ (pow x 5) (pow y 4))) (+ (* -1/1920 (/ (pow x 5) (pow y 4))) (+ (* 1/322560 (/ (pow x 7) (pow y 6))) (+ (* 1/7680 (/ (pow x 7) (pow y 6))) (+ (* 1/1440 (/ (pow x 7) (pow y 6))) (+ (* 1/1152 (/ (pow x 7) (pow y 6))) (+ (* 1/24 (/ (pow x 3) (pow y 2))) (* 1/4 (/ (pow x 3) (pow y 2)))))))))))) y))))
#s(approx (sin (/ x (* 2 y))) #s(hole binary64 (* -1 (/ (+ (* -1/2 x) (* 1/48 (/ (pow x 3) (pow y 2)))) y))))
#s(approx (sin (/ x (* 2 y))) #s(hole binary64 (* -1 (/ (+ (* -1/2 x) (+ (* -1/3840 (/ (pow x 5) (pow y 4))) (* 1/48 (/ (pow x 3) (pow y 2))))) y))))
#s(approx (sin (/ x (* 2 y))) #s(hole binary64 (* -1 (/ (+ (* -1/2 x) (+ (* -1/3840 (/ (pow x 5) (pow y 4))) (+ (* 1/645120 (/ (pow x 7) (pow y 6))) (* 1/48 (/ (pow x 3) (pow y 2)))))) y))))
#s(approx (/ (/ (neg (sin (/ (/ x y) 2))) (cos (+ (/ (/ x y) 2) (PI)))) (sin (/ x (* y 2)))) #s(hole binary64 (- (* -1 (/ (- (+ (* 1/8 (/ (pow x 2) (* y (cos (PI))))) (* 1/4 (/ (* (pow x 2) (pow (sin (PI)) 2)) (* y (pow (cos (PI)) 3))))) (* -1/2 (/ (* x (sin (PI))) (pow (cos (PI)) 2)))) y)) (/ 1 (cos (PI))))))
#s(approx (/ (/ (neg (sin (/ (/ x y) 2))) (cos (+ (/ (/ x y) 2) (PI)))) (sin (/ x (* y 2)))) #s(hole binary64 (- (* -1 (/ (- (* -1 (/ (- (+ (* -1/2 (/ (* x (* (sin (PI)) (+ (* 1/8 (/ (pow x 2) (cos (PI)))) (* 1/4 (/ (* (pow x 2) (pow (sin (PI)) 2)) (pow (cos (PI)) 3)))))) (* y (cos (PI))))) (+ (* -1/16 (/ (* (pow x 3) (sin (PI))) (* y (pow (cos (PI)) 2)))) (* 1/48 (/ (* (pow x 3) (sin (PI))) (* y (pow (cos (PI)) 2)))))) (+ (* 1/8 (/ (pow x 2) (cos (PI)))) (* 1/4 (/ (* (pow x 2) (pow (sin (PI)) 2)) (pow (cos (PI)) 3))))) y)) (* -1/2 (/ (* x (sin (PI))) (pow (cos (PI)) 2)))) y)) (/ 1 (cos (PI))))))
#s(approx (/ (neg (sin (/ (/ x y) 2))) (cos (+ (/ (/ x y) 2) (PI)))) #s(hole binary64 (* -1 (/ (+ (* 1/4 (/ (* (pow x 2) (sin (PI))) (* y (pow (cos (PI)) 2)))) (* 1/2 (/ x (cos (PI))))) y))))
#s(approx (/ (neg (sin (/ (/ x y) 2))) (cos (+ (/ (/ x y) 2) (PI)))) #s(hole binary64 (* -1 (/ (+ (* -1 (/ (- (+ (* -1/4 (/ (* (pow x 2) (sin (PI))) (pow (cos (PI)) 2))) (* 1/48 (/ (pow x 3) (* y (cos (PI)))))) (+ (* 1/16 (/ (pow x 3) (* y (cos (PI))))) (* 1/8 (/ (* (pow x 3) (pow (sin (PI)) 2)) (* y (pow (cos (PI)) 3)))))) y)) (* 1/2 (/ x (cos (PI))))) y))))
#s(approx (/ (neg (sin (/ (/ x y) 2))) (cos (+ (/ (/ x y) 2) (PI)))) #s(hole binary64 (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (- (* 1/48 (/ (pow x 3) (cos (PI)))) (+ (* 1/16 (/ (pow x 3) (cos (PI)))) (* 1/8 (/ (* (pow x 3) (pow (sin (PI)) 2)) (pow (cos (PI)) 3)))))) (* -1 (/ (+ (* -1/32 (/ (* (pow x 4) (sin (PI))) (pow (cos (PI)) 2))) (+ (* 1/96 (/ (* (pow x 4) (sin (PI))) (pow (cos (PI)) 2))) (* 1/2 (/ (* x (* (sin (PI)) (- (* 1/48 (/ (pow x 3) (cos (PI)))) (+ (* 1/16 (/ (pow x 3) (cos (PI)))) (* 1/8 (/ (* (pow x 3) (pow (sin (PI)) 2)) (pow (cos (PI)) 3))))))) (cos (PI)))))) y))) y)) (* -1/4 (/ (* (pow x 2) (sin (PI))) (pow (cos (PI)) 2)))) y)) (* 1/2 (/ x (cos (PI))))) y))))
#s(approx (neg (sin (/ (/ x y) 2))) #s(hole binary64 (* -1 (/ (- (* -1/48 (/ (pow x 3) (pow y 2))) (* -1/2 x)) y))))
#s(approx (neg (sin (/ (/ x y) 2))) #s(hole binary64 (* -1 (/ (- (* 1/3840 (/ (pow x 5) (pow y 4))) (+ (* -1/2 x) (* 1/48 (/ (pow x 3) (pow y 2))))) y))))
#s(approx (neg (sin (/ (/ x y) 2))) #s(hole binary64 (* -1 (/ (- (* -1/645120 (/ (pow x 7) (pow y 6))) (+ (* -1/2 x) (+ (* -1/3840 (/ (pow x 5) (pow y 4))) (* 1/48 (/ (pow x 3) (pow y 2)))))) y))))
#s(approx (sin (/ (/ x y) 2)) #s(hole binary64 (* -1 (/ (+ (* -1/2 x) (* 1/48 (/ (pow x 3) (pow y 2)))) y))))
#s(approx (sin (/ (/ x y) 2)) #s(hole binary64 (* -1 (/ (+ (* -1/2 x) (+ (* -1/3840 (/ (pow x 5) (pow y 4))) (* 1/48 (/ (pow x 3) (pow y 2))))) y))))
#s(approx (sin (/ (/ x y) 2)) #s(hole binary64 (* -1 (/ (+ (* -1/2 x) (+ (* -1/3840 (/ (pow x 5) (pow y 4))) (+ (* 1/645120 (/ (pow x 7) (pow y 6))) (* 1/48 (/ (pow x 3) (pow y 2)))))) y))))
#s(approx (cos (+ (/ (/ x y) 2) (PI))) #s(hole binary64 (+ (cos (PI)) (* -1 (/ (- (* 1/8 (/ (* (pow x 2) (cos (PI))) y)) (* -1/2 (* x (sin (PI))))) y)))))
#s(approx (cos (+ (/ (/ x y) 2) (PI))) #s(hole binary64 (+ (cos (PI)) (* -1 (/ (- (* -1 (/ (+ (* -1/8 (* (pow x 2) (cos (PI)))) (* 1/48 (/ (* (pow x 3) (sin (PI))) y))) y)) (* -1/2 (* x (sin (PI))))) y)))))
#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
20.0ms	x	@	0	((/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (pow (sin (+ (* (/ x y) 1/2) (/ (PI) 2))) -1) (sin (+ (* (/ x y) 1/2) (/ (PI) 2))) (+ (* (/ x y) 1/2) (/ (PI) 2)) (/ x y) x y 1/2 (/ (PI) 2) (PI) 2 -1 (/ (/ (sin (/ x y)) (+ 1 (cos (/ x y)))) (sin (/ x (* y 2)))) (* (* (/ y x) 0) 2) (* (/ y x) 0) (/ y x) 0 (/ (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) (/ (sin (/ x y)) (* (+ (cos (/ x y)) 1) (sin (/ x (* 2 y))))) (sin (/ x y)) (* (+ (cos (/ x y)) 1) (sin (/ x (* 2 y)))) (+ (cos (/ x y)) 1) (cos (/ x y)) 1 (sin (/ x (* 2 y))) (/ x (* 2 y)) (* 2 y) (/ (/ (neg (sin (/ (/ x y) 2))) (cos (+ (/ (/ x y) 2) (PI)))) (sin (/ x (* y 2)))) (/ (neg (sin (/ (/ x y) 2))) (cos (+ (/ (/ x y) 2) (PI)))) (neg (sin (/ (/ x y) 2))) (sin (/ (/ x y) 2)) (/ (/ x y) 2) (cos (+ (/ (/ x y) 2) (PI))) (+ (/ (/ x y) 2) (PI)) (sin (/ x (* y 2))) (/ x (* y 2)) (* y 2))
12.0ms	x	@	-inf	((/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (pow (sin (+ (* (/ x y) 1/2) (/ (PI) 2))) -1) (sin (+ (* (/ x y) 1/2) (/ (PI) 2))) (+ (* (/ x y) 1/2) (/ (PI) 2)) (/ x y) x y 1/2 (/ (PI) 2) (PI) 2 -1 (/ (/ (sin (/ x y)) (+ 1 (cos (/ x y)))) (sin (/ x (* y 2)))) (* (* (/ y x) 0) 2) (* (/ y x) 0) (/ y x) 0 (/ (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) (/ (sin (/ x y)) (* (+ (cos (/ x y)) 1) (sin (/ x (* 2 y))))) (sin (/ x y)) (* (+ (cos (/ x y)) 1) (sin (/ x (* 2 y)))) (+ (cos (/ x y)) 1) (cos (/ x y)) 1 (sin (/ x (* 2 y))) (/ x (* 2 y)) (* 2 y) (/ (/ (neg (sin (/ (/ x y) 2))) (cos (+ (/ (/ x y) 2) (PI)))) (sin (/ x (* y 2)))) (/ (neg (sin (/ (/ x y) 2))) (cos (+ (/ (/ x y) 2) (PI)))) (neg (sin (/ (/ x y) 2))) (sin (/ (/ x y) 2)) (/ (/ x y) 2) (cos (+ (/ (/ x y) 2) (PI))) (+ (/ (/ x y) 2) (PI)) (sin (/ x (* y 2))) (/ x (* y 2)) (* y 2))
8.0ms	y	@	inf	((/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (pow (sin (+ (* (/ x y) 1/2) (/ (PI) 2))) -1) (sin (+ (* (/ x y) 1/2) (/ (PI) 2))) (+ (* (/ x y) 1/2) (/ (PI) 2)) (/ x y) x y 1/2 (/ (PI) 2) (PI) 2 -1 (/ (/ (sin (/ x y)) (+ 1 (cos (/ x y)))) (sin (/ x (* y 2)))) (* (* (/ y x) 0) 2) (* (/ y x) 0) (/ y x) 0 (/ (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) (/ (sin (/ x y)) (* (+ (cos (/ x y)) 1) (sin (/ x (* 2 y))))) (sin (/ x y)) (* (+ (cos (/ x y)) 1) (sin (/ x (* 2 y)))) (+ (cos (/ x y)) 1) (cos (/ x y)) 1 (sin (/ x (* 2 y))) (/ x (* 2 y)) (* 2 y) (/ (/ (neg (sin (/ (/ x y) 2))) (cos (+ (/ (/ x y) 2) (PI)))) (sin (/ x (* y 2)))) (/ (neg (sin (/ (/ x y) 2))) (cos (+ (/ (/ x y) 2) (PI)))) (neg (sin (/ (/ x y) 2))) (sin (/ (/ x y) 2)) (/ (/ x y) 2) (cos (+ (/ (/ x y) 2) (PI))) (+ (/ (/ x y) 2) (PI)) (sin (/ x (* y 2))) (/ x (* y 2)) (* y 2))
7.0ms	y	@	-inf	((/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (pow (sin (+ (* (/ x y) 1/2) (/ (PI) 2))) -1) (sin (+ (* (/ x y) 1/2) (/ (PI) 2))) (+ (* (/ x y) 1/2) (/ (PI) 2)) (/ x y) x y 1/2 (/ (PI) 2) (PI) 2 -1 (/ (/ (sin (/ x y)) (+ 1 (cos (/ x y)))) (sin (/ x (* y 2)))) (* (* (/ y x) 0) 2) (* (/ y x) 0) (/ y x) 0 (/ (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) (/ (sin (/ x y)) (* (+ (cos (/ x y)) 1) (sin (/ x (* 2 y))))) (sin (/ x y)) (* (+ (cos (/ x y)) 1) (sin (/ x (* 2 y)))) (+ (cos (/ x y)) 1) (cos (/ x y)) 1 (sin (/ x (* 2 y))) (/ x (* 2 y)) (* 2 y) (/ (/ (neg (sin (/ (/ x y) 2))) (cos (+ (/ (/ x y) 2) (PI)))) (sin (/ x (* y 2)))) (/ (neg (sin (/ (/ x y) 2))) (cos (+ (/ (/ x y) 2) (PI)))) (neg (sin (/ (/ x y) 2))) (sin (/ (/ x y) 2)) (/ (/ x y) 2) (cos (+ (/ (/ x y) 2) (PI))) (+ (/ (/ x y) 2) (PI)) (sin (/ x (* y 2))) (/ x (* y 2)) (* y 2))
5.0ms	x	@	inf	((/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (pow (sin (+ (* (/ x y) 1/2) (/ (PI) 2))) -1) (sin (+ (* (/ x y) 1/2) (/ (PI) 2))) (+ (* (/ x y) 1/2) (/ (PI) 2)) (/ x y) x y 1/2 (/ (PI) 2) (PI) 2 -1 (/ (/ (sin (/ x y)) (+ 1 (cos (/ x y)))) (sin (/ x (* y 2)))) (* (* (/ y x) 0) 2) (* (/ y x) 0) (/ y x) 0 (/ (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) (/ (sin (/ x y)) (* (+ (cos (/ x y)) 1) (sin (/ x (* 2 y))))) (sin (/ x y)) (* (+ (cos (/ x y)) 1) (sin (/ x (* 2 y)))) (+ (cos (/ x y)) 1) (cos (/ x y)) 1 (sin (/ x (* 2 y))) (/ x (* 2 y)) (* 2 y) (/ (/ (neg (sin (/ (/ x y) 2))) (cos (+ (/ (/ x y) 2) (PI)))) (sin (/ x (* y 2)))) (/ (neg (sin (/ (/ x y) 2))) (cos (+ (/ (/ x y) 2) (PI)))) (neg (sin (/ (/ x y) 2))) (sin (/ (/ x y) 2)) (/ (/ x y) 2) (cos (+ (/ (/ x y) 2) (PI))) (+ (/ (/ x y) 2) (PI)) (sin (/ x (* y 2))) (/ x (* y 2)) (* y 2))

rewrite241.0ms (5.1%)

Memory

35.2MiB live, 221.7MiB allocated; 45ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1408	11145
0	1468	9444
0	8243	9122

Stop Event

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

Counts

258 → 310

Calls

Call 1

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

eval112.0ms (2.4%)

Memory: -11.9MiB live, 76.5MiB allocated; 24ms collecting garbage
Compiler: Compiled 14 648 to 1 870 computations (87.2% saved)

prune53.0ms (1.1%)

Memory

-15.3MiB live, 62.5MiB allocated; 16ms collecting garbage

Pruning

40 alts after pruning (39 fresh and 1 done)

	Pruned	Kept	Total
New	326	20	346
Fresh	0	19	19
Picked	5	0	5
Done	0	1	1
Total	331	40	371

Accuracy

62.6%

Counts

371 → 40

Alt Table

Click to see full alt table

Status	Accuracy	Program
	8.3%	(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x y))) (sin.f64 (/.f64 x y))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
	8.0%	(/.f64 (/.f64 (+.f64 (tan.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64))) (tan.f64 (PI.f64))) (-.f64 #s(literal 1 binary64) (.f64 (tan.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64))) (tan.f64 (PI.f64))))) (sin.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))))
	46.5%	(/.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)))))
	7.8%	(/.f64 (/.f64 (sin.f64 (/.f64 x y)) (/.f64 (.f64 (sin.f64 (/.f64 x y)) (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)))))
	46.1%	(/.f64 (/.f64 (sin.f64 (/.f64 x y)) (+.f64 #s(literal 1 binary64) (sin.f64 (+.f64 (/.f64 x y) (/.f64 (PI.f64) #s(literal 2 binary64)))))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
	45.9%	(/.f64 (/.f64 (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)))))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
	46.5%	(/.f64 (/.f64 (sin.f64 (/.f64 x y)) (+.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x y)))) (sin.f64 (/.f64 x (+.f64 y y))))
▶	45.9%	(/.f64 (/.f64 (neg.f64 (sin.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64)))) (sin.f64 (+.f64 (+.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64)) (PI.f64)) (/.f64 (PI.f64) #s(literal 2 binary64))))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
	45.0%	(/.f64 (/.f64 (neg.f64 (sin.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64)))) (cos.f64 (/.f64 (-.f64 (.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64)) (/.f64 (/.f64 x y) #s(literal 2 binary64))) (.f64 (PI.f64) (PI.f64))) (-.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64)) (PI.f64))))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
	46.6%	(/.f64 (/.f64 (neg.f64 (sin.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64)))) (cos.f64 #s(approx (+ (/ (/ x y) 2) (PI)) (.f64 x (+.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 (PI.f64) x)))))) (sin.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))))
	46.7%	(/.f64 (tan.f64 (/.f64 x (+.f64 y y))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
	7.8%	(/.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)))))
	7.9%	(/.f64 (tan.f64 (+.f64 #s(approx (+ (/ (/ x y) 2) (PI)) (.f64 (/.f64 x y) #s(literal 1/2 binary64))) (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 (+.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)))))
	7.2%	(/.f64 (sin.f64 (/.f64 x y)) (.f64 (/.f64 (-.f64 (.f64 (cos.f64 (/.f64 x y)) (cos.f64 (/.f64 x y))) #s(literal 1 binary64)) (-.f64 (cos.f64 (/.f64 x y)) #s(literal 1 binary64))) (sin.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y)))))
	45.9%	(/.f64 (sin.f64 (/.f64 x y)) (.f64 (+.f64 (sin.f64 (+.f64 (/.f64 x y) (/.f64 (PI.f64) #s(literal 2 binary64)))) #s(literal 1 binary64)) (sin.f64 (/.f64 x (.f64 #s(literal 2 binary64) y)))))
▶	46.4%	(/.f64 (sin.f64 (/.f64 x y)) (*.f64 (+.f64 (cos.f64 (/.f64 x y)) #s(literal 1 binary64)) (sin.f64 (/.f64 x (+.f64 y y)))))
	46.4%	(/.f64 #s(approx (/ (neg (sin (/ (/ x y) 2))) (cos (+ (/ (/ x y) 2) (PI)))) (/.f64 (neg.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) (/.f64 x y)))) (cos.f64 (-.f64 (PI.f64) (.f64 #s(literal -1/2 binary64) (/.f64 x y)))))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
	45.0%	#s(approx (/ (/ (sin (/ x y)) (+ 1 (cos (/ x y)))) (sin (/ x (* y 2)))) (fma.f64 (/.f64 (.f64 x x) (.f64 y y)) #s(literal 1/8 binary64) #s(literal 1 binary64)))
	43.7%	#s(approx (/ (/ (sin (/ x y)) (+ 1 (cos (/ 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))
	43.7%	#s(approx (/ (/ (sin (/ x y)) (+ 1 (cos (/ 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 (/ (/ (sin (/ x y)) (+ 1 (cos (/ x y)))) (sin (/ x (* y 2)))) #s(approx (* (* (/ y x) 0) 2) #s(literal 0 binary64)))
	56.9%	#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (pow.f64 (fma.f64 (sin.f64 (.f64 (/.f64 x y) #s(literal 1/2 binary64))) (cos.f64 (/.f64 (PI.f64) #s(literal 2 binary64))) (.f64 (cos.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64))) (sin.f64 (/.f64 (PI.f64) #s(literal 2 binary64))))) #s(literal -1 binary64)))
	56.9%	#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (pow.f64 (fma.f64 (sin.f64 (.f64 (/.f64 x y) #s(literal -1/2 binary64))) (cos.f64 (/.f64 (PI.f64) #s(literal 2 binary64))) (.f64 (cos.f64 (*.f64 (/.f64 x y) #s(literal -1/2 binary64))) (sin.f64 (/.f64 (PI.f64) #s(literal 2 binary64))))) #s(literal -1 binary64)))
	55.1%	#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (pow.f64 (sin.f64 (/.f64 (-.f64 (.f64 (.f64 (/.f64 x y) #s(literal -1/2 binary64)) (.f64 (/.f64 x y) #s(literal -1/2 binary64))) (.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)))
	54.5%	#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)))
	54.1%	#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)))
▶	56.8%	#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (pow.f64 (sin.f64 #s(approx (+ (* (/ x y) 1/2) (/ (PI) 2)) (*.f64 x (fma.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) x) (/.f64 #s(literal 1/2 binary64) y))))) #s(literal -1 binary64)))
	7.2%	#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (pow.f64 (sin.f64 #s(approx (+ (* (/ x y) 1/2) (/ (PI) 2)) (*.f64 #s(literal 1/2 binary64) (/.f64 x y)))) #s(literal -1 binary64)))
▶	56.9%	#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (pow.f64 (sin.f64 #s(approx (+ (* (/ x y) 1/2) (/ (PI) 2)) (*.f64 #s(literal 1/2 binary64) (+.f64 (PI.f64) (/.f64 x y))))) #s(literal -1 binary64)))
	56.4%	#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)))
	4.3%	#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (pow.f64 (sin.f64 #s(approx (+ (neg (* (/ x y) 1/2)) (/ (PI) 2)) (*.f64 #s(literal -1/2 binary64) (/.f64 x y)))) #s(literal -1 binary64)))
	52.3%	#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (pow.f64 #s(approx (sin (+ (neg (* (/ x y) 1/2)) (/ (PI) 2))) (-.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) (PI.f64))) (/.f64 (.f64 (.f64 #s(literal 1/2 binary64) x) (cos.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)))) y))) #s(literal -1 binary64)))
	56.3%	#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (pow.f64 #s(approx (sin (+ (neg (* (/ x y) 1/2)) (/ (PI) 2))) (sin.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (PI.f64) (/.f64 x y))))) #s(literal -1 binary64)))
	56.9%	#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)))))
	56.7%	#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)))))
	53.2%	#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (.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))))
	53.2%	#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))))
	52.0%	#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(approx (pow (sin (+ (* (/ x y) 1/2) (/ (PI) 2))) -1) (fma.f64 #s(literal -1/2 binary64) (.f64 (/.f64 x y) (/.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) (PI.f64))) (pow.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) (PI.f64))) #s(literal 2 binary64)))) (pow.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) (PI.f64))) #s(literal -1 binary64)))))
✓	55.7%	#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(literal 1 binary64))

Compiler

Compiled 2 481 to 1 600 computations (35.5% saved)

series49.0ms (1%)

Memory

13.5MiB live, 102.4MiB allocated; 9ms collecting garbage

Counts

45 → 217

Calls

Call 1

Inputs
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (pow.f64 (sin.f64 #s(approx (+ (* (/ x y) 1/2) (/ (PI) 2)) (*.f64 #s(literal 1/2 binary64) (+.f64 (PI.f64) (/.f64 x y))))) #s(literal -1 binary64)))
(pow.f64 (sin.f64 #s(approx (+ (* (/ x y) 1/2) (/ (PI) 2)) (*.f64 #s(literal 1/2 binary64) (+.f64 (PI.f64) (/.f64 x y))))) #s(literal -1 binary64))
(sin.f64 #s(approx (+ (* (/ x y) 1/2) (/ (PI) 2)) (*.f64 #s(literal 1/2 binary64) (+.f64 (PI.f64) (/.f64 x y)))))
#s(approx (+ (* (/ x y) 1/2) (/ (PI) 2)) (*.f64 #s(literal 1/2 binary64) (+.f64 (PI.f64) (/.f64 x y))))
(*.f64 #s(literal 1/2 binary64) (+.f64 (PI.f64) (/.f64 x y)))
#s(literal 1/2 binary64)
(+.f64 (PI.f64) (/.f64 x y))
(PI.f64)
(/.f64 x y)
x
y
#s(literal -1 binary64)
#s(approx (/ (/ (sin (/ x y)) (+ 1 (cos (/ 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)))) (pow.f64 (sin.f64 #s(approx (+ (* (/ x y) 1/2) (/ (PI) 2)) (*.f64 x (fma.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) x) (/.f64 #s(literal 1/2 binary64) y))))) #s(literal -1 binary64)))
(pow.f64 (sin.f64 #s(approx (+ (* (/ x y) 1/2) (/ (PI) 2)) (*.f64 x (fma.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) x) (/.f64 #s(literal 1/2 binary64) y))))) #s(literal -1 binary64))
(sin.f64 #s(approx (+ (* (/ x y) 1/2) (/ (PI) 2)) (*.f64 x (fma.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) x) (/.f64 #s(literal 1/2 binary64) y)))))
#s(approx (+ (* (/ x y) 1/2) (/ (PI) 2)) (*.f64 x (fma.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) x) (/.f64 #s(literal 1/2 binary64) y))))
(*.f64 x (fma.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) x) (/.f64 #s(literal 1/2 binary64) y)))
(fma.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) x) (/.f64 #s(literal 1/2 binary64) y))
(/.f64 (PI.f64) x)
(/.f64 #s(literal 1/2 binary64) y)
(/.f64 (sin.f64 (/.f64 x y)) (*.f64 (+.f64 (cos.f64 (/.f64 x y)) #s(literal 1 binary64)) (sin.f64 (/.f64 x (+.f64 y y)))))
(sin.f64 (/.f64 x y))
(*.f64 (+.f64 (cos.f64 (/.f64 x y)) #s(literal 1 binary64)) (sin.f64 (/.f64 x (+.f64 y y))))
(+.f64 (cos.f64 (/.f64 x y)) #s(literal 1 binary64))
(cos.f64 (/.f64 x y))
#s(literal 1 binary64)
(sin.f64 (/.f64 x (+.f64 y y)))
(/.f64 x (+.f64 y y))
(+.f64 y y)
(/.f64 (/.f64 (neg.f64 (sin.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64)))) (sin.f64 (+.f64 (+.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64)) (PI.f64)) (/.f64 (PI.f64) #s(literal 2 binary64))))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
(/.f64 (neg.f64 (sin.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64)))) (sin.f64 (+.f64 (+.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64)) (PI.f64)) (/.f64 (PI.f64) #s(literal 2 binary64)))))
(neg.f64 (sin.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64))))
(sin.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64)))
(/.f64 (/.f64 x y) #s(literal 2 binary64))
#s(literal 2 binary64)
(sin.f64 (+.f64 (+.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64)) (PI.f64)) (/.f64 (PI.f64) #s(literal 2 binary64))))
(+.f64 (+.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64)) (PI.f64)) (/.f64 (PI.f64) #s(literal 2 binary64)))
(+.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64)) (PI.f64))
(/.f64 (PI.f64) #s(literal 2 binary64))
(sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))
(/.f64 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))))))))
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#s(approx (/ (sin (/ x y)) (* (+ (cos (/ x y)) 1) (sin (/ x (+ y y))))) #s(hole binary64 (- (+ 1 (* -1/6 (/ (pow x 2) (pow y 2)))) (* -1 (/ (+ (* 1/24 (pow x 3)) (* 1/4 (pow x 3))) (* x (pow y 2)))))))
#s(approx (/ (sin (/ x y)) (* (+ (cos (/ x y)) 1) (sin (/ x (+ y y))))) #s(hole binary64 (- (+ 1 (+ (* -1/6 (/ (pow x 2) (pow y 2))) (* 1/120 (/ (pow x 4) (pow y 4))))) (+ (* -1 (/ (* (+ (* 1/24 (pow x 3)) (* 1/4 (pow x 3))) (- (* -1/6 (pow x 2)) (* -1 (/ (+ (* 1/24 (pow x 3)) (* 1/4 (pow x 3))) x)))) (* x (pow y 4)))) (+ (* -1 (/ (+ (* -1/48 (pow x 5)) (+ (* -1/96 (pow x 5)) (* -1/1920 (pow x 5)))) (* x (pow y 4)))) (* -1 (/ (+ (* 1/24 (pow x 3)) (* 1/4 (pow x 3))) (* x (pow y 2)))))))))
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#s(approx (sin (/ x y)) #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 (* (+ (cos (/ x y)) 1) (sin (/ x (+ y y)))) #s(hole binary64 (* -1 (/ (+ (* -1 x) (+ (* 1/24 (/ (pow x 3) (pow y 2))) (* 1/4 (/ (pow x 3) (pow y 2))))) y))))
#s(approx (* (+ (cos (/ x y)) 1) (sin (/ x (+ y y)))) #s(hole binary64 (* -1 (/ (+ (* -1 x) (+ (* -1/48 (/ (pow x 5) (pow y 4))) (+ (* -1/96 (/ (pow x 5) (pow y 4))) (+ (* -1/1920 (/ (pow x 5) (pow y 4))) (+ (* 1/24 (/ (pow x 3) (pow y 2))) (* 1/4 (/ (pow x 3) (pow y 2)))))))) y))))
#s(approx (* (+ (cos (/ x y)) 1) (sin (/ x (+ y y)))) #s(hole binary64 (* -1 (/ (+ (* -1 x) (+ (* -1/48 (/ (pow x 5) (pow y 4))) (+ (* -1/96 (/ (pow x 5) (pow y 4))) (+ (* -1/1920 (/ (pow x 5) (pow y 4))) (+ (* 1/322560 (/ (pow x 7) (pow y 6))) (+ (* 1/7680 (/ (pow x 7) (pow y 6))) (+ (* 1/1440 (/ (pow x 7) (pow y 6))) (+ (* 1/1152 (/ (pow x 7) (pow y 6))) (+ (* 1/24 (/ (pow x 3) (pow y 2))) (* 1/4 (/ (pow x 3) (pow y 2)))))))))))) y))))
#s(approx (sin (/ x (+ y y))) #s(hole binary64 (* -1 (/ (+ (* -1/2 x) (* 1/48 (/ (pow x 3) (pow y 2)))) y))))
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#s(approx (/ (/ (neg (sin (/ (/ x y) 2))) (sin (+ (+ (/ (/ x y) 2) (PI)) (/ (PI) 2)))) (sin (/ x (* y 2)))) #s(hole binary64 (- (* -1 (/ (- (+ (* 1/8 (/ (pow x 2) (* y (sin (+ (PI) (* 1/2 (PI))))))) (* 1/4 (/ (* (pow x 2) (pow (cos (+ (PI) (* 1/2 (PI)))) 2)) (* y (pow (sin (+ (PI) (* 1/2 (PI)))) 3))))) (* 1/2 (/ (* x (cos (+ (PI) (* 1/2 (PI))))) (pow (sin (+ (PI) (* 1/2 (PI)))) 2)))) y)) (/ 1 (sin (+ (PI) (* 1/2 (PI))))))))
#s(approx (/ (/ (neg (sin (/ (/ x y) 2))) (sin (+ (+ (/ (/ x y) 2) (PI)) (/ (PI) 2)))) (sin (/ x (* y 2)))) #s(hole binary64 (- (* -1 (/ (- (* -1 (/ (- (+ (* -1/48 (/ (* (pow x 3) (cos (+ (PI) (* 1/2 (PI))))) (* y (pow (sin (+ (PI) (* 1/2 (PI)))) 2)))) (+ (* 1/16 (/ (* (pow x 3) (cos (+ (PI) (* 1/2 (PI))))) (* y (pow (sin (+ (PI) (* 1/2 (PI)))) 2)))) (* 1/2 (/ (* x (* (cos (+ (PI) (* 1/2 (PI)))) (+ (* 1/8 (/ (pow x 2) (sin (+ (PI) (* 1/2 (PI)))))) (* 1/4 (/ (* (pow x 2) (pow (cos (+ (PI) (* 1/2 (PI)))) 2)) (pow (sin (+ (PI) (* 1/2 (PI)))) 3)))))) (* y (sin (+ (PI) (* 1/2 (PI))))))))) (+ (* 1/8 (/ (pow x 2) (sin (+ (PI) (* 1/2 (PI)))))) (* 1/4 (/ (* (pow x 2) (pow (cos (+ (PI) (* 1/2 (PI)))) 2)) (pow (sin (+ (PI) (* 1/2 (PI)))) 3))))) y)) (* 1/2 (/ (* x (cos (+ (PI) (* 1/2 (PI))))) (pow (sin (+ (PI) (* 1/2 (PI)))) 2)))) y)) (/ 1 (sin (+ (PI) (* 1/2 (PI))))))))
#s(approx (/ (neg (sin (/ (/ x y) 2))) (sin (+ (+ (/ (/ x y) 2) (PI)) (/ (PI) 2)))) #s(hole binary64 (* -1 (/ (+ (* -1/4 (/ (* (pow x 2) (cos (+ (PI) (* 1/2 (PI))))) (* y (pow (sin (+ (PI) (* 1/2 (PI)))) 2)))) (* 1/2 (/ x (sin (+ (PI) (* 1/2 (PI))))))) y))))
#s(approx (/ (neg (sin (/ (/ x y) 2))) (sin (+ (+ (/ (/ x y) 2) (PI)) (/ (PI) 2)))) #s(hole binary64 (* -1 (/ (+ (* -1 (/ (- (+ (* 1/48 (/ (pow x 3) (* y (sin (+ (PI) (* 1/2 (PI))))))) (* 1/4 (/ (* (pow x 2) (cos (+ (PI) (* 1/2 (PI))))) (pow (sin (+ (PI) (* 1/2 (PI)))) 2)))) (+ (* 1/16 (/ (pow x 3) (* y (sin (+ (PI) (* 1/2 (PI))))))) (* 1/8 (/ (* (pow x 3) (pow (cos (+ (PI) (* 1/2 (PI)))) 2)) (* y (pow (sin (+ (PI) (* 1/2 (PI)))) 3)))))) y)) (* 1/2 (/ x (sin (+ (PI) (* 1/2 (PI))))))) y))))
#s(approx (/ (neg (sin (/ (/ x y) 2))) (sin (+ (+ (/ (/ x y) 2) (PI)) (/ (PI) 2)))) #s(hole binary64 (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (- (* 1/48 (/ (pow x 3) (sin (+ (PI) (* 1/2 (PI)))))) (+ (* 1/16 (/ (pow x 3) (sin (+ (PI) (* 1/2 (PI)))))) (* 1/8 (/ (* (pow x 3) (pow (cos (+ (PI) (* 1/2 (PI)))) 2)) (pow (sin (+ (PI) (* 1/2 (PI)))) 3)))))) (* -1 (/ (+ (* -1/2 (/ (* x (* (cos (+ (PI) (* 1/2 (PI)))) (- (* 1/48 (/ (pow x 3) (sin (+ (PI) (* 1/2 (PI)))))) (+ (* 1/16 (/ (pow x 3) (sin (+ (PI) (* 1/2 (PI)))))) (* 1/8 (/ (* (pow x 3) (pow (cos (+ (PI) (* 1/2 (PI)))) 2)) (pow (sin (+ (PI) (* 1/2 (PI)))) 3))))))) (sin (+ (PI) (* 1/2 (PI)))))) (+ (* -1/96 (/ (* (pow x 4) (cos (+ (PI) (* 1/2 (PI))))) (pow (sin (+ (PI) (* 1/2 (PI)))) 2))) (* 1/32 (/ (* (pow x 4) (cos (+ (PI) (* 1/2 (PI))))) (pow (sin (+ (PI) (* 1/2 (PI)))) 2))))) y))) y)) (* 1/4 (/ (* (pow x 2) (cos (+ (PI) (* 1/2 (PI))))) (pow (sin (+ (PI) (* 1/2 (PI)))) 2)))) y)) (* 1/2 (/ x (sin (+ (PI) (* 1/2 (PI))))))) y))))
#s(approx (neg (sin (/ (/ x y) 2))) #s(hole binary64 (* -1 (/ (- (* -1/48 (/ (pow x 3) (pow y 2))) (* -1/2 x)) y))))
#s(approx (neg (sin (/ (/ x y) 2))) #s(hole binary64 (* -1 (/ (- (* 1/3840 (/ (pow x 5) (pow y 4))) (+ (* -1/2 x) (* 1/48 (/ (pow x 3) (pow y 2))))) y))))
#s(approx (neg (sin (/ (/ x y) 2))) #s(hole binary64 (* -1 (/ (- (* -1/645120 (/ (pow x 7) (pow y 6))) (+ (* -1/2 x) (+ (* -1/3840 (/ (pow x 5) (pow y 4))) (* 1/48 (/ (pow x 3) (pow y 2)))))) y))))
#s(approx (sin (/ (/ x y) 2)) #s(hole binary64 (* -1 (/ (+ (* -1/2 x) (* 1/48 (/ (pow x 3) (pow y 2)))) y))))
#s(approx (sin (/ (/ x y) 2)) #s(hole binary64 (* -1 (/ (+ (* -1/2 x) (+ (* -1/3840 (/ (pow x 5) (pow y 4))) (* 1/48 (/ (pow x 3) (pow y 2))))) y))))
#s(approx (sin (/ (/ x y) 2)) #s(hole binary64 (* -1 (/ (+ (* -1/2 x) (+ (* -1/3840 (/ (pow x 5) (pow y 4))) (+ (* 1/645120 (/ (pow x 7) (pow y 6))) (* 1/48 (/ (pow x 3) (pow y 2)))))) y))))
#s(approx (sin (+ (+ (/ (/ x y) 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) 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 (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
9.0ms	y	@	inf	((/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (pow (sin (+ (* (/ x y) 1/2) (/ (PI) 2))) -1) (sin (+ (* (/ x y) 1/2) (/ (PI) 2))) (+ (* (/ x y) 1/2) (/ (PI) 2)) (* 1/2 (+ (PI) (/ x y))) 1/2 (+ (PI) (/ x y)) (PI) (/ x y) x y -1 (/ (/ (sin (/ x y)) (+ 1 (cos (/ x y)))) (sin (/ x (* y 2)))) (* (* (/ y x) 0) 2) 0 (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (pow (sin (+ (* (/ x y) 1/2) (/ (PI) 2))) -1) (sin (+ (* (/ x y) 1/2) (/ (PI) 2))) (+ (* (/ x y) 1/2) (/ (PI) 2)) (* x (+ (* 1/2 (/ (PI) x)) (/ 1/2 y))) (+ (* 1/2 (/ (PI) x)) (/ 1/2 y)) (/ (PI) x) (/ 1/2 y) (/ (sin (/ x y)) (* (+ (cos (/ x y)) 1) (sin (/ x (+ y y))))) (sin (/ x y)) (* (+ (cos (/ x y)) 1) (sin (/ x (+ y y)))) (+ (cos (/ x y)) 1) (cos (/ x y)) 1 (sin (/ x (+ y y))) (/ x (+ y y)) (+ y y) (/ (/ (neg (sin (/ (/ x y) 2))) (sin (+ (+ (/ (/ x y) 2) (PI)) (/ (PI) 2)))) (sin (/ x (* y 2)))) (/ (neg (sin (/ (/ x y) 2))) (sin (+ (+ (/ (/ x y) 2) (PI)) (/ (PI) 2)))) (neg (sin (/ (/ x y) 2))) (sin (/ (/ x y) 2)) (/ (/ x y) 2) 2 (sin (+ (+ (/ (/ x y) 2) (PI)) (/ (PI) 2))) (+ (+ (/ (/ x y) 2) (PI)) (/ (PI) 2)) (+ (/ (/ x y) 2) (PI)) (/ (PI) 2) (sin (/ x (* y 2))) (/ x (* y 2)) (* y 2))
9.0ms	x	@	inf	((/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (pow (sin (+ (* (/ x y) 1/2) (/ (PI) 2))) -1) (sin (+ (* (/ x y) 1/2) (/ (PI) 2))) (+ (* (/ x y) 1/2) (/ (PI) 2)) (* 1/2 (+ (PI) (/ x y))) 1/2 (+ (PI) (/ x y)) (PI) (/ x y) x y -1 (/ (/ (sin (/ x y)) (+ 1 (cos (/ x y)))) (sin (/ x (* y 2)))) (* (* (/ y x) 0) 2) 0 (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (pow (sin (+ (* (/ x y) 1/2) (/ (PI) 2))) -1) (sin (+ (* (/ x y) 1/2) (/ (PI) 2))) (+ (* (/ x y) 1/2) (/ (PI) 2)) (* x (+ (* 1/2 (/ (PI) x)) (/ 1/2 y))) (+ (* 1/2 (/ (PI) x)) (/ 1/2 y)) (/ (PI) x) (/ 1/2 y) (/ (sin (/ x y)) (* (+ (cos (/ x y)) 1) (sin (/ x (+ y y))))) (sin (/ x y)) (* (+ (cos (/ x y)) 1) (sin (/ x (+ y y)))) (+ (cos (/ x y)) 1) (cos (/ x y)) 1 (sin (/ x (+ y y))) (/ x (+ y y)) (+ y y) (/ (/ (neg (sin (/ (/ x y) 2))) (sin (+ (+ (/ (/ x y) 2) (PI)) (/ (PI) 2)))) (sin (/ x (* y 2)))) (/ (neg (sin (/ (/ x y) 2))) (sin (+ (+ (/ (/ x y) 2) (PI)) (/ (PI) 2)))) (neg (sin (/ (/ x y) 2))) (sin (/ (/ x y) 2)) (/ (/ x y) 2) 2 (sin (+ (+ (/ (/ x y) 2) (PI)) (/ (PI) 2))) (+ (+ (/ (/ x y) 2) (PI)) (/ (PI) 2)) (+ (/ (/ x y) 2) (PI)) (/ (PI) 2) (sin (/ x (* y 2))) (/ x (* y 2)) (* y 2))
7.0ms	y	@	-inf	((/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (pow (sin (+ (* (/ x y) 1/2) (/ (PI) 2))) -1) (sin (+ (* (/ x y) 1/2) (/ (PI) 2))) (+ (* (/ x y) 1/2) (/ (PI) 2)) (* 1/2 (+ (PI) (/ x y))) 1/2 (+ (PI) (/ x y)) (PI) (/ x y) x y -1 (/ (/ (sin (/ x y)) (+ 1 (cos (/ x y)))) (sin (/ x (* y 2)))) (* (* (/ y x) 0) 2) 0 (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (pow (sin (+ (* (/ x y) 1/2) (/ (PI) 2))) -1) (sin (+ (* (/ x y) 1/2) (/ (PI) 2))) (+ (* (/ x y) 1/2) (/ (PI) 2)) (* x (+ (* 1/2 (/ (PI) x)) (/ 1/2 y))) (+ (* 1/2 (/ (PI) x)) (/ 1/2 y)) (/ (PI) x) (/ 1/2 y) (/ (sin (/ x y)) (* (+ (cos (/ x y)) 1) (sin (/ x (+ y y))))) (sin (/ x y)) (* (+ (cos (/ x y)) 1) (sin (/ x (+ y y)))) (+ (cos (/ x y)) 1) (cos (/ x y)) 1 (sin (/ x (+ y y))) (/ x (+ y y)) (+ y y) (/ (/ (neg (sin (/ (/ x y) 2))) (sin (+ (+ (/ (/ x y) 2) (PI)) (/ (PI) 2)))) (sin (/ x (* y 2)))) (/ (neg (sin (/ (/ x y) 2))) (sin (+ (+ (/ (/ x y) 2) (PI)) (/ (PI) 2)))) (neg (sin (/ (/ x y) 2))) (sin (/ (/ x y) 2)) (/ (/ x y) 2) 2 (sin (+ (+ (/ (/ x y) 2) (PI)) (/ (PI) 2))) (+ (+ (/ (/ x y) 2) (PI)) (/ (PI) 2)) (+ (/ (/ x y) 2) (PI)) (/ (PI) 2) (sin (/ x (* y 2))) (/ x (* y 2)) (* y 2))
6.0ms	x	@	0	((/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (pow (sin (+ (* (/ x y) 1/2) (/ (PI) 2))) -1) (sin (+ (* (/ x y) 1/2) (/ (PI) 2))) (+ (* (/ x y) 1/2) (/ (PI) 2)) (* 1/2 (+ (PI) (/ x y))) 1/2 (+ (PI) (/ x y)) (PI) (/ x y) x y -1 (/ (/ (sin (/ x y)) (+ 1 (cos (/ x y)))) (sin (/ x (* y 2)))) (* (* (/ y x) 0) 2) 0 (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (pow (sin (+ (* (/ x y) 1/2) (/ (PI) 2))) -1) (sin (+ (* (/ x y) 1/2) (/ (PI) 2))) (+ (* (/ x y) 1/2) (/ (PI) 2)) (* x (+ (* 1/2 (/ (PI) x)) (/ 1/2 y))) (+ (* 1/2 (/ (PI) x)) (/ 1/2 y)) (/ (PI) x) (/ 1/2 y) (/ (sin (/ x y)) (* (+ (cos (/ x y)) 1) (sin (/ x (+ y y))))) (sin (/ x y)) (* (+ (cos (/ x y)) 1) (sin (/ x (+ y y)))) (+ (cos (/ x y)) 1) (cos (/ x y)) 1 (sin (/ x (+ y y))) (/ x (+ y y)) (+ y y) (/ (/ (neg (sin (/ (/ x y) 2))) (sin (+ (+ (/ (/ x y) 2) (PI)) (/ (PI) 2)))) (sin (/ x (* y 2)))) (/ (neg (sin (/ (/ x y) 2))) (sin (+ (+ (/ (/ x y) 2) (PI)) (/ (PI) 2)))) (neg (sin (/ (/ x y) 2))) (sin (/ (/ x y) 2)) (/ (/ x y) 2) 2 (sin (+ (+ (/ (/ x y) 2) (PI)) (/ (PI) 2))) (+ (+ (/ (/ x y) 2) (PI)) (/ (PI) 2)) (+ (/ (/ x y) 2) (PI)) (/ (PI) 2) (sin (/ x (* y 2))) (/ x (* y 2)) (* y 2))
6.0ms	x	@	-inf	((/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (pow (sin (+ (* (/ x y) 1/2) (/ (PI) 2))) -1) (sin (+ (* (/ x y) 1/2) (/ (PI) 2))) (+ (* (/ x y) 1/2) (/ (PI) 2)) (* 1/2 (+ (PI) (/ x y))) 1/2 (+ (PI) (/ x y)) (PI) (/ x y) x y -1 (/ (/ (sin (/ x y)) (+ 1 (cos (/ x y)))) (sin (/ x (* y 2)))) (* (* (/ y x) 0) 2) 0 (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (pow (sin (+ (* (/ x y) 1/2) (/ (PI) 2))) -1) (sin (+ (* (/ x y) 1/2) (/ (PI) 2))) (+ (* (/ x y) 1/2) (/ (PI) 2)) (* x (+ (* 1/2 (/ (PI) x)) (/ 1/2 y))) (+ (* 1/2 (/ (PI) x)) (/ 1/2 y)) (/ (PI) x) (/ 1/2 y) (/ (sin (/ x y)) (* (+ (cos (/ x y)) 1) (sin (/ x (+ y y))))) (sin (/ x y)) (* (+ (cos (/ x y)) 1) (sin (/ x (+ y y)))) (+ (cos (/ x y)) 1) (cos (/ x y)) 1 (sin (/ x (+ y y))) (/ x (+ y y)) (+ y y) (/ (/ (neg (sin (/ (/ x y) 2))) (sin (+ (+ (/ (/ x y) 2) (PI)) (/ (PI) 2)))) (sin (/ x (* y 2)))) (/ (neg (sin (/ (/ x y) 2))) (sin (+ (+ (/ (/ x y) 2) (PI)) (/ (PI) 2)))) (neg (sin (/ (/ x y) 2))) (sin (/ (/ x y) 2)) (/ (/ x y) 2) 2 (sin (+ (+ (/ (/ x y) 2) (PI)) (/ (PI) 2))) (+ (+ (/ (/ x y) 2) (PI)) (/ (PI) 2)) (+ (/ (/ x y) 2) (PI)) (/ (PI) 2) (sin (/ x (* y 2))) (/ x (* y 2)) (* y 2))

rewrite215.0ms (4.6%)

Memory

-19.6MiB live, 311.7MiB allocated; 39ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1347	11321
0	1405	9582
0	8396	9211

Stop Event

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

Counts

262 → 348

Calls

Call 1

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

eval56.0ms (1.2%)

Memory: -10.2MiB live, 134.8MiB allocated; 18ms collecting garbage
Compiler: Compiled 15 074 to 1 976 computations (86.9% saved)

prune70.0ms (1.5%)

Memory

28.7MiB live, 75.4MiB allocated; 3ms collecting garbage

Pruning

44 alts after pruning (41 fresh and 3 done)

	Pruned	Kept	Total
New	325	14	339
Fresh	7	27	34
Picked	3	2	5
Done	0	1	1
Total	335	44	379

Accuracy

62.7%

Counts

379 → 44

Alt Table

Click to see full alt table

Status	Accuracy	Program
	8.3%	(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x y))) (sin.f64 (/.f64 x y))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
	8.0%	(/.f64 (/.f64 (+.f64 (tan.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64))) (tan.f64 (PI.f64))) (-.f64 #s(literal 1 binary64) (.f64 (tan.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64))) (tan.f64 (PI.f64))))) (sin.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))))
	46.5%	(/.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)))))
	7.8%	(/.f64 (/.f64 (sin.f64 (/.f64 x y)) (/.f64 (.f64 (sin.f64 (/.f64 x y)) (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)))))
	46.1%	(/.f64 (/.f64 (sin.f64 (/.f64 x y)) (+.f64 #s(literal 1 binary64) (sin.f64 (+.f64 (/.f64 x y) (/.f64 (PI.f64) #s(literal 2 binary64)))))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
	45.9%	(/.f64 (/.f64 (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)))))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
	46.5%	(/.f64 (/.f64 (sin.f64 (/.f64 x y)) (+.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x y)))) (sin.f64 (/.f64 x (+.f64 y y))))
	8.0%	(/.f64 (/.f64 (sin.f64 (+.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64)) (PI.f64))) (sin.f64 (+.f64 (+.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64)) (PI.f64)) (/.f64 (PI.f64) #s(literal 2 binary64))))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
	46.4%	(/.f64 (/.f64 (neg.f64 (sin.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64)))) (fma.f64 (neg.f64 (sin.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64)))) (cos.f64 (/.f64 (PI.f64) #s(literal 2 binary64))) (.f64 (cos.f64 (+.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64)) (PI.f64))) (sin.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))))) (sin.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))))
	45.0%	(/.f64 (/.f64 (neg.f64 (sin.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64)))) (cos.f64 (/.f64 (-.f64 (.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64)) (/.f64 (/.f64 x y) #s(literal 2 binary64))) (.f64 (PI.f64) (PI.f64))) (-.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64)) (PI.f64))))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
	46.6%	(/.f64 (/.f64 (neg.f64 (sin.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64)))) (cos.f64 #s(approx (+ (/ (/ x y) 2) (PI)) (.f64 x (+.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 (PI.f64) x)))))) (sin.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))))
	7.5%	(/.f64 (/.f64 (cos.f64 (+.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64)))) (sin.f64 (+.f64 (+.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64)) (PI.f64)) (/.f64 (PI.f64) #s(literal 2 binary64))))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
	46.7%	(/.f64 (tan.f64 (/.f64 x (+.f64 y y))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
	7.8%	(/.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)))))
	7.5%	(/.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)))))
	7.2%	(/.f64 (sin.f64 (/.f64 x y)) (.f64 (/.f64 (-.f64 (.f64 (cos.f64 (/.f64 x y)) (cos.f64 (/.f64 x y))) #s(literal 1 binary64)) (-.f64 (cos.f64 (/.f64 x y)) #s(literal 1 binary64))) (sin.f64 (/.f64 x (+.f64 y y)))))
	45.9%	(/.f64 (sin.f64 (/.f64 x y)) (*.f64 (+.f64 (sin.f64 (+.f64 (/.f64 x y) (/.f64 (PI.f64) #s(literal 2 binary64)))) #s(literal 1 binary64)) (sin.f64 (/.f64 x (+.f64 y y)))))
	21.3%	(/.f64 (sin.f64 (/.f64 x y)) (.f64 (+.f64 (cos.f64 (/.f64 x y)) #s(literal 1 binary64)) (sin.f64 (/.f64 x (/.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (fma.f64 y y (-.f64 (.f64 y y) (*.f64 y y))))))))
✓	46.4%	(/.f64 (sin.f64 (/.f64 x y)) (*.f64 (+.f64 (cos.f64 (/.f64 x y)) #s(literal 1 binary64)) (sin.f64 (/.f64 x (+.f64 y y)))))
	46.4%	(/.f64 #s(approx (/ (neg (sin (/ (/ x y) 2))) (cos (+ (/ (/ x y) 2) (PI)))) (/.f64 (neg.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) (/.f64 x y)))) (cos.f64 (-.f64 (PI.f64) (.f64 #s(literal -1/2 binary64) (/.f64 x y)))))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
	45.0%	#s(approx (/ (/ (sin (/ x y)) (+ 1 (cos (/ x y)))) (sin (/ x (* y 2)))) (fma.f64 (/.f64 (.f64 x x) (.f64 y y)) #s(literal 1/8 binary64) #s(literal 1 binary64)))
	43.7%	#s(approx (/ (/ (sin (/ x y)) (+ 1 (cos (/ 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))
	43.7%	#s(approx (/ (/ (sin (/ x y)) (+ 1 (cos (/ 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 (/ (/ (sin (/ x y)) (+ 1 (cos (/ x y)))) (sin (/ x (* y 2)))) #s(approx (* (* (/ y x) 0) 2) #s(literal 0 binary64)))
	56.2%	#s(approx (/ (/ (neg (sin (/ (/ x y) 2))) (sin (+ (+ (/ (/ x y) 2) (PI)) (/ (PI) 2)))) (sin (/ x (* y 2)))) (/.f64 #s(literal -1 binary64) (sin.f64 (fma.f64 #s(literal 3/2 binary64) (PI.f64) (*.f64 #s(literal 1/2 binary64) (/.f64 x y))))))
	56.9%	#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (pow.f64 (fma.f64 (sin.f64 (.f64 (/.f64 x y) #s(literal 1/2 binary64))) (cos.f64 (/.f64 (PI.f64) #s(literal 2 binary64))) (.f64 (cos.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64))) (sin.f64 (/.f64 (PI.f64) #s(literal 2 binary64))))) #s(literal -1 binary64)))
	56.9%	#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (pow.f64 (fma.f64 (sin.f64 (.f64 (/.f64 x y) #s(literal -1/2 binary64))) (cos.f64 (/.f64 (PI.f64) #s(literal 2 binary64))) (.f64 (cos.f64 (*.f64 (/.f64 x y) #s(literal -1/2 binary64))) (sin.f64 (/.f64 (PI.f64) #s(literal 2 binary64))))) #s(literal -1 binary64)))
	55.1%	#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (pow.f64 (sin.f64 (/.f64 (-.f64 (.f64 (.f64 (/.f64 x y) #s(literal -1/2 binary64)) (.f64 (/.f64 x y) #s(literal -1/2 binary64))) (.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)))
	54.1%	#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)))
	18.1%	#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (pow.f64 (sin.f64 #s(approx (+ (* (/ x y) 1/2) (/ (PI) 2)) (.f64 x (/.f64 (+.f64 (pow.f64 (.f64 (/.f64 (PI.f64) x) #s(literal 1/2 binary64)) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 3 binary64))) (fma.f64 (.f64 (/.f64 (PI.f64) x) #s(literal 1/2 binary64)) (.f64 (/.f64 (PI.f64) x) #s(literal 1/2 binary64)) (-.f64 (.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal 1/2 binary64) y)) (.f64 (*.f64 (/.f64 (PI.f64) x) #s(literal 1/2 binary64)) (/.f64 #s(literal 1/2 binary64) y)))))))) #s(literal -1 binary64)))
	54.5%	#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (pow.f64 (sin.f64 #s(approx (+ (* (/ x y) 1/2) (/ (PI) 2)) (.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) (pow.f64 (/.f64 x y) #s(literal 3 binary64))) (fma.f64 (PI.f64) (PI.f64) (-.f64 (.f64 (/.f64 x y) (/.f64 x y)) (*.f64 (PI.f64) (/.f64 x y)))))))) #s(literal -1 binary64)))
	56.4%	#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)))
	52.3%	#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (pow.f64 #s(approx (sin (+ (neg (* (/ x y) 1/2)) (/ (PI) 2))) (-.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) (PI.f64))) (/.f64 (.f64 (.f64 #s(literal 1/2 binary64) x) (cos.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)))) y))) #s(literal -1 binary64)))
	56.3%	#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (pow.f64 #s(approx (sin (+ (neg (* (/ x y) 1/2)) (/ (PI) 2))) (sin.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (PI.f64) (/.f64 x y))))) #s(literal -1 binary64)))
	56.8%	#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (sin.f64 #s(approx (+ (* (/ x y) 1/2) (/ (PI) 2)) (*.f64 (fma.f64 (/.f64 (PI.f64) x) #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) y)) x)))))
	56.9%	#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (sin.f64 #s(approx (+ (* (/ x y) 1/2) (/ (PI) 2)) (*.f64 (+.f64 (PI.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) (cos.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64)))))
	56.7%	#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)))))
	53.3%	#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (.f64 (pow.f64 (sin.f64 #s(approx (+ ( (/ x y) 1/2) (/ (PI) 2)) (.f64 (+.f64 (PI.f64) (/.f64 x y)) #s(literal 1/2 binary64)))) #s(literal -1/2 binary64)) (pow.f64 (sin.f64 #s(approx (+ ( (/ x y) 1/2) (/ (PI) 2)) (*.f64 (+.f64 (PI.f64) (/.f64 x y)) #s(literal 1/2 binary64)))) #s(literal -1/2 binary64))))
	53.2%	#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (.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))))
	53.3%	#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (exp.f64 (.f64 (log.f64 (sin.f64 #s(approx (+ ( (/ x y) 1/2) (/ (PI) 2)) (*.f64 (+.f64 (PI.f64) (/.f64 x y)) #s(literal 1/2 binary64))))) #s(literal -1 binary64))))
	53.2%	#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))))
	52.0%	#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(approx (pow (sin (+ (* (/ x y) 1/2) (/ (PI) 2))) -1) (fma.f64 (.f64 (/.f64 x y) (/.f64 (cos.f64 (.f64 (PI.f64) #s(literal 1/2 binary64))) (pow.f64 (sin.f64 (.f64 (PI.f64) #s(literal 1/2 binary64))) #s(literal 2 binary64)))) #s(literal -1/2 binary64) (pow.f64 (sin.f64 (.f64 (PI.f64) #s(literal 1/2 binary64))) #s(literal -1 binary64)))))
✓	55.7%	#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(literal 1 binary64))

Compiler

Compiled 3 591 to 1 326 computations (63.1% saved)

regimes168.0ms (3.6%)

Memory

-25.8MiB live, 117.9MiB allocated; 30ms collecting garbage

Counts

69 → 1

Calls

Call 1

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

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

Calls

5 calls:

60.0ms	y
41.0ms	(*.f64 y #s(literal 2 binary64))
29.0ms	(/.f64 (tan.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))))
17.0ms	x
15.0ms	(/.f64 x (*.f64 y #s(literal 2 binary64)))

Results

Accuracy	Segments	Branch
56.9%	1	`(*.f64 y #s(literal 2 binary64))`
56.9%	1	`(/.f64 x (*.f64 y #s(literal 2 binary64)))`
56.9%	1	`(/.f64 (tan.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))))`
56.9%	1	`x`
56.9%	1	`y`

Compiler

Compiled 23 to 21 computations (8.7% saved)

regimes16.0ms (0.3%)

Memory

21.3MiB live, 21.3MiB allocated; 0ms collecting garbage

Counts

9 → 1

Calls

Call 1

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

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)))))

Calls

5 calls:

3.0ms	(/.f64 x (*.f64 y #s(literal 2 binary64)))
3.0ms	(*.f64 y #s(literal 2 binary64))
3.0ms	x
3.0ms	y
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
56.9%	1	`(*.f64 y #s(literal 2 binary64))`
56.9%	1	`y`
56.9%	1	`(/.f64 (tan.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))))`
56.9%	1	`x`
56.9%	1	`(/.f64 x (*.f64 y #s(literal 2 binary64)))`

Compiler

Compiled 23 to 21 computations (8.7% saved)

regimes30.0ms (0.6%)

Memory

-16.6MiB live, 27.9MiB allocated; 4ms collecting garbage

Accuracy

Total -34.5b remaining (-121.5%)

Threshold costs -34.5b (-121.5%)

Counts

7 → 1

Calls

Call 1

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

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

Calls

5 calls:

19.0ms	(*.f64 y #s(literal 2 binary64))
3.0ms	x
2.0ms	y
2.0ms	(/.f64 x (*.f64 y #s(literal 2 binary64)))
2.0ms	(/.f64 (tan.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))))

Results

Accuracy	Segments	Branch
55.7%	1	`(/.f64 (tan.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))))`
55.7%	1	`(*.f64 y #s(literal 2 binary64))`
55.7%	1	`y`
55.7%	1	`(/.f64 x (*.f64 y #s(literal 2 binary64)))`
55.7%	1	`x`

Compiler

Compiled 23 to 21 computations (8.7% saved)

simplify39.0ms (0.8%)

Memory

2.8MiB live, 47.3MiB allocated; 5ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	28	71
1	39	71
2	69	71
3	147	71
4	557	71
5	4278	71

Stop Event

1×	node limit

Calls

Call 1

Inputs

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

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

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

Outputs

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

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

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

derivations129.0ms (2.7%)

Memory

29.6MiB live, 178.7MiB allocated; 14ms collecting garbage

Stop Event

1×

fuel

Compiler

Compiled 71 to 29 computations (59.2% saved)

preprocess39.0ms (0.8%)

Memory

-29.5MiB live, 61.8MiB allocated; 11ms collecting garbage

Remove

(abs y)

(abs x)

Compiler

Compiled 584 to 354 computations (39.4% saved)

end0.0ms (0%)

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

start0.0ms (0%)

analyze177.0ms (3.8%)

sample2.3s (48.9%)

explain150.0ms (3.2%)

preprocess200.0ms (4.2%)

eval0.0ms (0%)

prune0.0ms (0%)

series23.0ms (0.5%)

rewrite171.0ms (3.6%)

eval11.0ms (0.2%)

prune11.0ms (0.2%)

series47.0ms (1%)

rewrite268.0ms (5.7%)

eval38.0ms (0.8%)

prune24.0ms (0.5%)

series67.0ms (1.4%)

rewrite241.0ms (5.1%)

eval112.0ms (2.4%)

prune53.0ms (1.1%)

series49.0ms (1%)

rewrite215.0ms (4.6%)

eval56.0ms (1.2%)

prune70.0ms (1.5%)

regimes168.0ms (3.6%)

regimes16.0ms (0.3%)

regimes30.0ms (0.6%)

simplify39.0ms (0.8%)

derivations129.0ms (2.7%)

preprocess39.0ms (0.8%)

end0.0ms (0%)

Profiling