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

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated; 0ms collecting garbage

analyze212.0ms (3.4%)

Memory

26.2MiB live, 270.1MiB allocated; 46ms 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)

sample2.1s (33.5%)

Memory

17.2MiB live, 2 418.7MiB allocated; 468ms collecting garbage

Samples

1.1s	4 074×	1	valid
524.0ms	4 182×	0	valid

Precisions

Click to see histograms. Total time spent on operations: 1.2s

ival-tan: 349.0ms (30% of total)

ival-sin: 342.0ms (29.4% of total)

ival-div: 279.0ms (24% of total)

ival-mult: 106.0ms (9.1% of total)

adjust: 73.0ms (6.3% of total)

ival-true: 5.0ms (0.4% of total)

exact: 5.0ms (0.4% of total)

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

Bogosity

explain184.0ms (2.9%)

Memory

29.5MiB live, 369.6MiB allocated; 59ms collecting garbage

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
124	-	-	`(tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))`
123	-	-	`(sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))`
32	-	-	`(/.f64 (tan.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))))`
1	-	-	`(/.f64 x (*.f64 y #s(literal 2 binary64)))`
0	-	-	`y`
0	-	-	`#s(literal 2 binary64)`
0	-	-	`x`
0	-	-	`(*.f64 y #s(literal 2 binary64))`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`tan.f64`	`(tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))`	sensitivity	95	0
`sin.f64`	`(sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))`	sensitivity	94	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	32	0
↳	`(/.f64 x (*.f64 y #s(literal 2 binary64)))`	underflow	32
↳	`(tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))`	underflow	32
↳	`(/.f64 x (*.f64 y #s(literal 2 binary64)))`	underflow	32
↳	`(sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))`	underflow	32
`sin.f64`	`(sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))`	oflow-rescue	29	0
↳	`(/.f64 x (*.f64 y #s(literal 2 binary64)))`	overflow	29
↳	`(*.f64 y #s(literal 2 binary64))`	overflow	1
`tan.f64`	`(tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))`	oflow-rescue	29	0
↳	`(/.f64 x (*.f64 y #s(literal 2 binary64)))`	overflow	29
↳	`(*.f64 y #s(literal 2 binary64))`	overflow	1
`/.f64`	`(/.f64 x (*.f64 y #s(literal 2 binary64)))`	n/o	1	0
↳	`(*.f64 y #s(literal 2 binary64))`	overflow	1

Confusion

	Predicted +	Predicted -
+	157	0
-	0	99

Precision

1.0

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	157	0	0
-	0	0	99

Precision?

1.0

Recall?

1.0

Freqs

test

number	freq
0	99
1	34
2	123

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

65.0ms	246×	1	valid
21.0ms	266×	0	valid

Compiler

Compiled 89 to 28 computations (68.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 55.0ms

ival-div: 18.0ms (32.7% of total)

ival-tan: 15.0ms (27.2% of total)

ival-sin: 13.0ms (23.6% of total)

adjust: 4.0ms (7.3% of total)

ival-mult: 4.0ms (7.3% of total)

ival-true: 1.0ms (1.8% of total)

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

exact: 0.0ms (0% of total)

preprocess230.0ms (3.7%)

Memory

-1.7MiB live, 239.4MiB allocated; 16ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	22	75
1	51	67
2	135	65
3	290	65
4	703	65
5	2756	65
0	8	13
0	13	13
1	21	13
2	40	13
3	78	13
4	159	13
5	514	13
6	3796	13
0	9069	13

Stop Event

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

Calls

Call 1

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

Outputs

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

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

Symmetry

(abs y)

(abs x)

Compiler

Compiled 13 to 8 computations (38.5% saved)

eval0.0ms (0%)

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

prune0.0ms (0%)

Memory

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

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	44.1%	(/.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)

simplify142.0ms (2.3%)

Memory

-26.2MiB live, 155.8MiB allocated; 19ms collecting garbage

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
cost-diff	0	(*.f64 y #s(literal 2 binary64))
cost-diff	0	(/.f64 x (*.f64 y #s(literal 2 binary64)))
cost-diff	0	(tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))
cost-diff	0	(/.f64 (tan.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	36
0	13	36
1	21	36
2	40	36
3	78	36
4	159	36
5	514	36
6	3796	36
0	9069	36

Stop Event

1×	iter limit
1×	node limit
1×	iter 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)))))
(tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))
(/.f64 x (*.f64 y #s(literal 2 binary64)))
x
(*.f64 y #s(literal 2 binary64))
y
#s(literal 2 binary64)
(sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))

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

localize59.0ms (0.9%)

Memory

30.4MiB live, 86.2MiB allocated; 24ms collecting garbage

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.22487956913472879	(/.f64 x (*.f64 y #s(literal 2 binary64)))
accuracy	7.92196303362641	(/.f64 (tan.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))))
accuracy	27.238070622693982	(sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))
accuracy	27.796318901135304	(tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))

Samples

32.0ms	123×	1	valid
20.0ms	133×	0	valid

Compiler

Compiled 38 to 10 computations (73.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 42.0ms

ival-div: 16.0ms (37.9% of total)

ival-tan: 16.0ms (37.9% of total)

ival-sin: 6.0ms (14.2% of total)

adjust: 2.0ms (4.7% of total)

ival-mult: 2.0ms (4.7% of total)

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

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

exact: 0.0ms (0% of total)

series28.0ms (0.4%)

Memory

-6.2MiB live, 37.1MiB allocated; 22ms collecting garbage

Counts

5 → 35

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)))
(*.f64 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 (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 (/ (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
11.0ms	x	@	0	((/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (tan (/ 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)) (* 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)) (* 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)) (* 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)) (* y 2) (sin (/ x (* y 2))))

simplify348.0ms (5.6%)

Memory

-18.1MiB live, 314.2MiB allocated; 53ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	356	1904
1	1049	1864
2	4345	1826
0	8142	1723

Stop Event

1×	iter limit
1×	node limit

Counts

35 → 35

Calls

Call 1

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

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

rewrite53.0ms (0.9%)

Memory

22.0MiB live, 113.6MiB allocated; 5ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	33
0	13	33
1	29	33
0	129	33

Stop Event

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

Counts

5 → 31

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

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

eval14.0ms (0.2%)

Memory: -14.1MiB live, 30.3MiB allocated; 4ms collecting garbage
Compiler: Compiled 2 591 to 455 computations (82.4% saved)

prune8.0ms (0.1%)

Memory

28.2MiB live, 28.2MiB allocated; 0ms collecting garbage

Pruning

12 alts after pruning (12 fresh and 0 done)

	Pruned	Kept	Total
New	69	12	81
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	70	12	82

Accuracy

62.4%

Counts

82 → 12

Alt Table

Click to see full alt table

Status	Accuracy	Program
	8.1%	(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x y))) (sin.f64 (/.f64 x y))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
	8.2%	(/.f64 (/.f64 (+.f64 (tan.f64 (/.f64 x (.f64 #s(literal 2 binary64) y))) (tan.f64 (PI.f64))) (-.f64 #s(literal 1 binary64) (.f64 (tan.f64 (/.f64 x (.f64 #s(literal 2 binary64) y))) (tan.f64 (PI.f64))))) (sin.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))))
	44.0%	(/.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)))))
	44.5%	(/.f64 (/.f64 (neg.f64 (sin.f64 (/.f64 x (.f64 #s(literal 2 binary64) y)))) (cos.f64 (+.f64 (PI.f64) (/.f64 x (.f64 #s(literal 2 binary64) y))))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
	44.1%	(/.f64 (tan.f64 (/.f64 x (+.f64 y y))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
▶	35.6%	(/.f64 (tan.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) #s(approx (sin (/ x ( y 2))) (.f64 (/.f64 (fma.f64 (/.f64 #s(literal -1/48 binary64) y) (/.f64 (.f64 x x) y) #s(literal 1/2 binary64)) y) x)))
	39.3%	(/.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))))
▶	8.1%	(/.f64 (tan.f64 (+.f64 (PI.f64) (/.f64 x (.f64 #s(literal 2 binary64) y)))) (sin.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))))
▶	38.9%	(/.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)))))
▶	48.9%	#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (fma.f64 (/.f64 (*.f64 x x) y) (/.f64 #s(literal 1/8 binary64) y) #s(literal 1 binary64)))
	57.0%	#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y)))))
▶	57.3%	#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(literal 1 binary64))

Compiler

Compiled 484 to 340 computations (29.8% saved)

simplify151.0ms (2.4%)

Memory

-10.4MiB live, 180.3MiB allocated; 18ms collecting garbage

Localize:

Found 17 expressions of interest:

New	Metric	Score
cost-diff	0	(PI.f64)
cost-diff	0	(+.f64 (PI.f64) (/.f64 x (*.f64 #s(literal 2 binary64) y)))
cost-diff	0	(/.f64 (tan.f64 (+.f64 (PI.f64) (/.f64 x (.f64 #s(literal 2 binary64) y)))) (sin.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))))
cost-diff	2	(tan.f64 (+.f64 (PI.f64) (/.f64 x (*.f64 #s(literal 2 binary64) y))))
cost-diff	0	(*.f64 y #s(literal 2 binary64))
cost-diff	0	(/.f64 x (*.f64 y #s(literal 2 binary64)))
cost-diff	0	(tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))
cost-diff	0	(/.f64 (tan.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) #s(approx (sin (/ x ( y 2))) (.f64 (/.f64 (fma.f64 (/.f64 #s(literal -1/48 binary64) y) (/.f64 (.f64 x x) y) #s(literal 1/2 binary64)) y) x)))
cost-diff	0	(/.f64 x y)
cost-diff	0	(*.f64 (/.f64 x y) #s(literal 1/2 binary64))
cost-diff	0	#s(approx (tan (/ x (* y 2))) (*.f64 (/.f64 x y) #s(literal 1/2 binary64)))
cost-diff	0	(/.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)))))
cost-diff	0	(*.f64 x x)
cost-diff	0	(/.f64 (*.f64 x x) y)
cost-diff	0	(fma.f64 (/.f64 (*.f64 x x) y) (/.f64 #s(literal 1/8 binary64) y) #s(literal 1 binary64))
cost-diff	0	#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (fma.f64 (/.f64 (*.f64 x x) y) (/.f64 #s(literal 1/8 binary64) y) #s(literal 1 binary64)))
cost-diff	0	#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(literal 1 binary64))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	38	293
0	65	289
1	106	289
2	211	289
3	641	289
4	2567	289
5	6634	289
0	9056	289

Stop Event

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

Calls

Call 1

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

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

localize314.0ms (5%)

Memory

-15.6MiB live, 319.9MiB allocated; 60ms collecting garbage

Localize:

Found 17 expressions of interest:

New	Metric	Score
accuracy	0.22487956913472879	(/.f64 x (*.f64 #s(literal 2 binary64) y))
accuracy	7.92196303362641	(/.f64 (tan.f64 (+.f64 (PI.f64) (/.f64 x (.f64 #s(literal 2 binary64) y)))) (sin.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))))
accuracy	27.238070622693982	(sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))
accuracy	58.55817273683977	(tan.f64 (+.f64 (PI.f64) (/.f64 x (*.f64 #s(literal 2 binary64) y))))
accuracy	7.92196303362641	(/.f64 (tan.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) #s(approx (sin (/ x ( y 2))) (.f64 (/.f64 (fma.f64 (/.f64 #s(literal -1/48 binary64) y) (/.f64 (.f64 x x) y) #s(literal 1/2 binary64)) y) x)))
accuracy	8.43180307824522	(/.f64 (*.f64 x x) y)
accuracy	27.796318901135304	(tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))
accuracy	30.522842664568977	#s(approx (sin (/ x (* y 2))) (.f64 (/.f64 (fma.f64 (/.f64 #s(literal -1/48 binary64) y) (/.f64 (.f64 x x) y) #s(literal 1/2 binary64)) y) x))
accuracy	0.22487956913472879	(/.f64 x (*.f64 y #s(literal 2 binary64)))
accuracy	7.92196303362641	(/.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)))))
accuracy	27.238070622693982	(sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))
accuracy	30.631580808849563	#s(approx (tan (/ x (* y 2))) (*.f64 (/.f64 x y) #s(literal 1/2 binary64)))
accuracy	0.0	(*.f64 x x)
accuracy	1.4800023053060105	(fma.f64 (/.f64 (*.f64 x x) y) (/.f64 #s(literal 1/8 binary64) y) #s(literal 1 binary64))
accuracy	8.43180307824522	(/.f64 (*.f64 x x) y)
accuracy	30.40546906135282	#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (fma.f64 (/.f64 (*.f64 x x) y) (/.f64 #s(literal 1/8 binary64) y) #s(literal 1 binary64)))
accuracy	27.31654139367354	#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(literal 1 binary64))

Samples

185.0ms	187×	1	valid
66.0ms	62×	2	valid
5.0ms	3×	3	valid
1.0ms	4×	0	valid

Compiler

Compiled 244 to 32 computations (86.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 207.0ms

adjust: 89.0ms (43.1% of total)

ival-tan: 57.0ms (27.6% of total)

ival-div: 25.0ms (12.1% of total)

ival-mult: 14.0ms (6.8% of total)

ival-sin: 7.0ms (3.4% of total)

ival-add: 6.0ms (2.9% of total)

const: 6.0ms (2.9% of total)

ival-pi: 2.0ms (1% of total)

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

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

exact: 0.0ms (0% of total)

series33.0ms (0.5%)

Memory

33.4MiB live, 33.4MiB allocated; 0ms collecting garbage

Counts

20 → 75

Calls

Call 1

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

Outputs
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(hole binary64 1))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(hole binary64 (+ 1 (* 1/8 (/ (pow x 2) (pow y 2))))))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(hole binary64 (+ 1 (* (pow x 2) (+ (* 5/384 (/ (pow x 2) (pow y 4))) (* 1/8 (/ 1 (pow y 2))))))))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(hole binary64 (+ 1 (* (pow x 2) (+ (* (pow x 2) (+ (* 61/46080 (/ (pow x 2) (pow y 6))) (* 5/384 (/ 1 (pow y 4))))) (* 1/8 (/ 1 (pow y 2))))))))
#s(approx (+ (* (/ (* x x) y) (/ 1/8 y)) 1) #s(hole binary64 1))
#s(approx (+ (* (/ (* x x) y) (/ 1/8 y)) 1) #s(hole binary64 (+ 1 (* 1/8 (/ (pow x 2) (pow y 2))))))
#s(approx (/ (* x x) y) #s(hole binary64 (/ (pow x 2) y)))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx (tan (/ x (* y 2))) #s(hole binary64 (* 1/2 (/ x y))))
#s(approx (tan (/ x (* y 2))) #s(hole binary64 (* x (+ (* 1/24 (/ (pow x 2) (pow y 3))) (* 1/2 (/ 1 y))))))
#s(approx (tan (/ x (* y 2))) #s(hole binary64 (* x (+ (* (pow x 2) (+ (* 1/240 (/ (pow x 2) (pow y 5))) (* 1/24 (/ 1 (pow y 3))))) (* 1/2 (/ 1 y))))))
#s(approx (tan (/ x (* y 2))) #s(hole binary64 (* x (+ (* (pow x 2) (+ (* (pow x 2) (+ (* 17/40320 (/ (pow x 2) (pow y 7))) (* 1/240 (/ 1 (pow y 5))))) (* 1/24 (/ 1 (pow y 3))))) (* 1/2 (/ 1 y))))))
#s(approx (* (/ x y) 1/2) #s(hole binary64 (* 1/2 (/ x y))))
#s(approx (/ x y) #s(hole binary64 (/ x y)))
#s(approx (/ x (* y 2)) #s(hole binary64 (* 1/2 (/ x y))))
#s(approx (tan (+ (PI) (/ x (* 2 y)))) #s(hole binary64 (/ (sin (PI)) (cos (PI)))))
#s(approx (tan (+ (PI) (/ x (* 2 y)))) #s(hole binary64 (+ (* x (- (* 1/2 (/ 1 y)) (* -1/2 (/ (pow (sin (PI)) 2) (* y (pow (cos (PI)) 2)))))) (/ (sin (PI)) (cos (PI))))))
#s(approx (tan (+ (PI) (/ x (* 2 y)))) #s(hole binary64 (+ (* x (- (+ (* 1/2 (/ 1 y)) (* 1/2 (/ (* x (* (sin (PI)) (- (* 1/2 (/ 1 y)) (* -1/2 (/ (pow (sin (PI)) 2) (* y (pow (cos (PI)) 2))))))) (* y (cos (PI)))))) (* -1/2 (/ (pow (sin (PI)) 2) (* y (pow (cos (PI)) 2)))))) (/ (sin (PI)) (cos (PI))))))
#s(approx (tan (+ (PI) (/ x (* 2 y)))) #s(hole binary64 (+ (* x (- (+ (* 1/2 (/ 1 y)) (* x (- (* -1 (* x (+ (* -1/4 (/ (* (pow (sin (PI)) 2) (- (* 1/2 (/ 1 y)) (* -1/2 (/ (pow (sin (PI)) 2) (* y (pow (cos (PI)) 2)))))) (* (pow y 2) (pow (cos (PI)) 2)))) (+ (* -1/8 (/ (- (* 1/2 (/ 1 y)) (* -1/2 (/ (pow (sin (PI)) 2) (* y (pow (cos (PI)) 2))))) (pow y 2))) (+ (* 1/48 (/ 1 (pow y 3))) (* 1/48 (/ (pow (sin (PI)) 2) (* (pow y 3) (pow (cos (PI)) 2))))))))) (* -1/2 (/ (* (sin (PI)) (- (* 1/2 (/ 1 y)) (* -1/2 (/ (pow (sin (PI)) 2) (* y (pow (cos (PI)) 2)))))) (* y (cos (PI)))))))) (* -1/2 (/ (pow (sin (PI)) 2) (* y (pow (cos (PI)) 2)))))) (/ (sin (PI)) (cos (PI))))))
#s(approx (/ (tan (+ (PI) (/ x (* 2 y)))) (sin (/ x (* y 2)))) #s(hole binary64 (* 2 (/ (* y (sin (PI))) (* x (cos (PI)))))))
#s(approx (/ (tan (+ (PI) (/ x (* 2 y)))) (sin (/ x (* y 2)))) #s(hole binary64 (/ (+ (* 2 (* x (* y (- (* 1/2 (/ 1 y)) (* -1/2 (/ (pow (sin (PI)) 2) (* y (pow (cos (PI)) 2)))))))) (* 2 (/ (* y (sin (PI))) (cos (PI))))) x)))
#s(approx (/ (tan (+ (PI) (/ x (* 2 y)))) (sin (/ x (* y 2)))) #s(hole binary64 (/ (+ (* 2 (/ (* y (sin (PI))) (cos (PI)))) (* x (+ (* 2 (* y (- (* 1/2 (/ 1 y)) (* -1/2 (/ (pow (sin (PI)) 2) (* y (pow (cos (PI)) 2))))))) (* x (- (/ (* (sin (PI)) (- (* 1/2 (/ 1 y)) (* -1/2 (/ (pow (sin (PI)) 2) (* y (pow (cos (PI)) 2)))))) (cos (PI))) (* -1/12 (/ (sin (PI)) (* y (cos (PI)))))))))) x)))
#s(approx (/ (tan (+ (PI) (/ x (* 2 y)))) (sin (/ x (* y 2)))) #s(hole binary64 (/ (+ (* 2 (/ (* y (sin (PI))) (cos (PI)))) (* x (+ (* 2 (* y (- (* 1/2 (/ 1 y)) (* -1/2 (/ (pow (sin (PI)) 2) (* y (pow (cos (PI)) 2))))))) (* x (- (+ (* x (- (* -2 (* y (+ (* -1/4 (/ (* (pow (sin (PI)) 2) (- (* 1/2 (/ 1 y)) (* -1/2 (/ (pow (sin (PI)) 2) (* y (pow (cos (PI)) 2)))))) (* (pow y 2) (pow (cos (PI)) 2)))) (+ (* -1/8 (/ (- (* 1/2 (/ 1 y)) (* -1/2 (/ (pow (sin (PI)) 2) (* y (pow (cos (PI)) 2))))) (pow y 2))) (+ (* 1/48 (/ 1 (pow y 3))) (* 1/48 (/ (pow (sin (PI)) 2) (* (pow y 3) (pow (cos (PI)) 2))))))))) (* -1/12 (/ (- (* 1/2 (/ 1 y)) (* -1/2 (/ (pow (sin (PI)) 2) (* y (pow (cos (PI)) 2))))) y)))) (/ (* (sin (PI)) (- (* 1/2 (/ 1 y)) (* -1/2 (/ (pow (sin (PI)) 2) (* y (pow (cos (PI)) 2)))))) (cos (PI)))) (* -1/12 (/ (sin (PI)) (* y (cos (PI)))))))))) x)))
#s(approx (+ (PI) (/ x (* 2 y))) #s(hole binary64 (PI)))
#s(approx (+ (PI) (/ x (* 2 y))) #s(hole binary64 (+ (PI) (* 1/2 (/ x y)))))
#s(approx (sin (/ x (* y 2))) #s(hole binary64 (* 1/2 (/ x y))))
#s(approx (sin (/ x (* y 2))) #s(hole binary64 (* x (+ (* -1/48 (/ (pow x 2) (pow y 3))) (* 1/2 (/ 1 y))))))
#s(approx (sin (/ x (* y 2))) #s(hole binary64 (* x (+ (* (pow x 2) (- (* 1/3840 (/ (pow x 2) (pow y 5))) (* 1/48 (/ 1 (pow y 3))))) (* 1/2 (/ 1 y))))))
#s(approx (sin (/ x (* y 2))) #s(hole binary64 (* x (+ (* (pow x 2) (- (* (pow x 2) (+ (* -1/645120 (/ (pow x 2) (pow y 7))) (* 1/3840 (/ 1 (pow y 5))))) (* 1/48 (/ 1 (pow y 3))))) (* 1/2 (/ 1 y))))))
#s(approx (/ x (* 2 y)) #s(hole binary64 (* 1/2 (/ x y))))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(hole binary64 (/ 1 (cos (* 1/2 (/ x y))))))
#s(approx (+ (* (/ (* x x) y) (/ 1/8 y)) 1) #s(hole binary64 (* 1/8 (/ (pow x 2) (pow y 2)))))
#s(approx (+ (* (/ (* x x) y) (/ 1/8 y)) 1) #s(hole binary64 (* (pow x 2) (+ (/ 1 (pow x 2)) (* 1/8 (/ 1 (pow y 2)))))))
#s(approx (tan (/ x (* y 2))) #s(hole binary64 (/ (sin (* 1/2 (/ x y))) (cos (* 1/2 (/ x y))))))
#s(approx (tan (+ (PI) (/ x (* 2 y)))) #s(hole binary64 (/ (sin (+ (PI) (* 1/2 (/ x y)))) (cos (+ (PI) (* 1/2 (/ x y)))))))
#s(approx (/ (tan (+ (PI) (/ x (* 2 y)))) (sin (/ x (* y 2)))) #s(hole binary64 (/ (sin (+ (PI) (* 1/2 (/ x y)))) (* (cos (+ (PI) (* 1/2 (/ x y)))) (sin (* 1/2 (/ x y)))))))
#s(approx (+ (PI) (/ x (* 2 y))) #s(hole binary64 (* 1/2 (/ x y))))
#s(approx (+ (PI) (/ x (* 2 y))) #s(hole binary64 (* x (+ (* 1/2 (/ 1 y)) (/ (PI) x)))))
#s(approx (sin (/ x (* y 2))) #s(hole binary64 (sin (* 1/2 (/ x y)))))
#s(approx (tan (+ (PI) (/ x (* 2 y)))) #s(hole binary64 (/ (sin (- (PI) (* -1/2 (/ x y)))) (cos (- (PI) (* -1/2 (/ x y)))))))
#s(approx (/ (tan (+ (PI) (/ x (* 2 y)))) (sin (/ x (* y 2)))) #s(hole binary64 (/ (sin (- (PI) (* -1/2 (/ x y)))) (* (cos (- (PI) (* -1/2 (/ x y)))) (sin (* 1/2 (/ x y)))))))
#s(approx (+ (PI) (/ x (* 2 y))) #s(hole binary64 (* -1 (* x (- (* -1 (/ (PI) x)) (* 1/2 (/ 1 y)))))))
#s(approx (+ (* (/ (* x x) y) (/ 1/8 y)) 1) #s(hole binary64 (/ (+ (* 1/8 (pow x 2)) (pow y 2)) (pow y 2))))
#s(approx (* y 2) #s(hole binary64 (* 2 y)))
#s(approx (+ (PI) (/ x (* 2 y))) #s(hole binary64 (/ (+ (* 1/2 x) (* y (PI))) y)))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(hole binary64 (- (+ 1 (* 2 (/ (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3))) (* x (pow y 2))))) (* -1/24 (/ (pow x 2) (pow y 2))))))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(hole binary64 (- (+ 1 (+ (* 2 (/ (- (* -1/48 (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 (tan (+ (PI) (/ x (* 2 y)))) #s(hole binary64 (- (+ (* 1/2 (/ x y)) (/ (sin (PI)) (cos (PI)))) (* -1/2 (/ (* x (pow (sin (PI)) 2)) (* y (pow (cos (PI)) 2)))))))
#s(approx (tan (+ (PI) (/ x (* 2 y)))) #s(hole binary64 (- (+ (* 1/2 (/ x y)) (+ (* 1/2 (/ (* x (* (sin (PI)) (- (* 1/2 x) (* -1/2 (/ (* x (pow (sin (PI)) 2)) (pow (cos (PI)) 2)))))) (* (pow y 2) (cos (PI))))) (/ (sin (PI)) (cos (PI))))) (* -1/2 (/ (* x (pow (sin (PI)) 2)) (* y (pow (cos (PI)) 2)))))))
#s(approx (tan (+ (PI) (/ x (* 2 y)))) #s(hole binary64 (- (+ (* -1/48 (/ (pow x 3) (pow y 3))) (+ (* 1/2 (/ x y)) (/ (sin (PI)) (cos (PI))))) (+ (* -1/2 (/ (* x (* (sin (PI)) (- (* 1/2 x) (* -1/2 (/ (* x (pow (sin (PI)) 2)) (pow (cos (PI)) 2)))))) (* (pow y 2) (cos (PI))))) (+ (* -1/2 (/ (* x (pow (sin (PI)) 2)) (* y (pow (cos (PI)) 2)))) (+ (* -1/4 (/ (* (pow x 2) (* (pow (sin (PI)) 2) (- (* 1/2 x) (* -1/2 (/ (* x (pow (sin (PI)) 2)) (pow (cos (PI)) 2)))))) (* (pow y 3) (pow (cos (PI)) 2)))) (+ (* -1/8 (/ (* (pow x 2) (- (* 1/2 x) (* -1/2 (/ (* x (pow (sin (PI)) 2)) (pow (cos (PI)) 2))))) (pow y 3))) (* 1/48 (/ (* (pow x 3) (pow (sin (PI)) 2)) (* (pow y 3) (pow (cos (PI)) 2)))))))))))
#s(approx (/ (tan (+ (PI) (/ x (* 2 y)))) (sin (/ x (* y 2)))) #s(hole binary64 (* y (+ (* 2 (/ (sin (PI)) (* x (cos (PI))))) (* 2 (/ (- (* 1/2 x) (* -1/2 (/ (* x (pow (sin (PI)) 2)) (pow (cos (PI)) 2)))) (* x y)))))))
#s(approx (/ (tan (+ (PI) (/ x (* 2 y)))) (sin (/ x (* y 2)))) #s(hole binary64 (* y (- (+ (* 2 (/ (sin (PI)) (* x (cos (PI))))) (+ (* 2 (/ (- (* 1/2 x) (* -1/2 (/ (* x (pow (sin (PI)) 2)) (pow (cos (PI)) 2)))) (* x y))) (/ (* (sin (PI)) (- (* 1/2 x) (* -1/2 (/ (* x (pow (sin (PI)) 2)) (pow (cos (PI)) 2))))) (* (pow y 2) (cos (PI)))))) (* -1/12 (/ (* x (sin (PI))) (* (pow y 2) (cos (PI)))))))))
#s(approx (/ (tan (+ (PI) (/ x (* 2 y)))) (sin (/ x (* y 2)))) #s(hole binary64 (* y (- (+ (* 2 (/ (sin (PI)) (* x (cos (PI))))) (+ (* 2 (/ (- (* -1/48 (pow x 3)) (+ (* -1/4 (/ (* (pow x 2) (* (pow (sin (PI)) 2) (- (* 1/2 x) (* -1/2 (/ (* x (pow (sin (PI)) 2)) (pow (cos (PI)) 2)))))) (pow (cos (PI)) 2))) (+ (* -1/8 (* (pow x 2) (- (* 1/2 x) (* -1/2 (/ (* x (pow (sin (PI)) 2)) (pow (cos (PI)) 2)))))) (* 1/48 (/ (* (pow x 3) (pow (sin (PI)) 2)) (pow (cos (PI)) 2)))))) (* x (pow y 3)))) (+ (* 2 (/ (- (* 1/2 x) (* -1/2 (/ (* x (pow (sin (PI)) 2)) (pow (cos (PI)) 2)))) (* x y))) (/ (* (sin (PI)) (- (* 1/2 x) (* -1/2 (/ (* x (pow (sin (PI)) 2)) (pow (cos (PI)) 2))))) (* (pow y 2) (cos (PI))))))) (+ (* -1/12 (/ (* x (sin (PI))) (* (pow y 2) (cos (PI))))) (* -1/12 (/ (* x (- (* 1/2 x) (* -1/2 (/ (* x (pow (sin (PI)) 2)) (pow (cos (PI)) 2))))) (pow y 3))))))))
#s(approx (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 (tan (+ (PI) (/ x (* 2 y)))) #s(hole binary64 (+ (* -1 (/ (- (* -1/2 x) (* 1/2 (/ (* x (pow (sin (PI)) 2)) (pow (cos (PI)) 2)))) y)) (/ (sin (PI)) (cos (PI))))))
#s(approx (tan (+ (PI) (/ x (* 2 y)))) #s(hole binary64 (+ (* -1 (/ (- (+ (* -1/2 x) (* 1/2 (/ (* x (* (sin (PI)) (- (* -1/2 x) (* 1/2 (/ (* x (pow (sin (PI)) 2)) (pow (cos (PI)) 2)))))) (* y (cos (PI)))))) (* 1/2 (/ (* x (pow (sin (PI)) 2)) (pow (cos (PI)) 2)))) y)) (/ (sin (PI)) (cos (PI))))))
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#s(approx (/ (tan (+ (PI) (/ x (* 2 y)))) (sin (/ x (* y 2)))) #s(hole binary64 (* -1 (* y (+ (* -2 (/ (sin (PI)) (* x (cos (PI))))) (* 2 (/ (- (* -1/2 x) (* 1/2 (/ (* x (pow (sin (PI)) 2)) (pow (cos (PI)) 2)))) (* x y))))))))
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#s(approx (/ (tan (+ (PI) (/ x (* 2 y)))) (sin (/ x (* y 2)))) #s(hole binary64 (* -1 (* y (+ (* -2 (/ (sin (PI)) (* x (cos (PI))))) (* -1 (/ (+ (* -2 (/ (- (* -1/2 x) (* 1/2 (/ (* x (pow (sin (PI)) 2)) (pow (cos (PI)) 2)))) x)) (* -1 (/ (- (+ (* -1 (/ (- (* -2 (/ (- (* 1/48 (pow x 3)) (+ (* -1/4 (/ (* (pow x 2) (* (pow (sin (PI)) 2) (- (* -1/2 x) (* 1/2 (/ (* x (pow (sin (PI)) 2)) (pow (cos (PI)) 2)))))) (pow (cos (PI)) 2))) (+ (* -1/8 (* (pow x 2) (- (* -1/2 x) (* 1/2 (/ (* x (pow (sin (PI)) 2)) (pow (cos (PI)) 2)))))) (* -1/48 (/ (* (pow x 3) (pow (sin (PI)) 2)) (pow (cos (PI)) 2)))))) x)) (* 1/12 (* x (- (* -1/2 x) (* 1/2 (/ (* x (pow (sin (PI)) 2)) (pow (cos (PI)) 2))))))) y)) (/ (* (sin (PI)) (- (* -1/2 x) (* 1/2 (/ (* x (pow (sin (PI)) 2)) (pow (cos (PI)) 2))))) (cos (PI)))) (* 1/12 (/ (* x (sin (PI))) (cos (PI))))) y))) y)))))))
#s(approx (sin (/ x (* y 2))) #s(hole binary64 (* -1 (/ (+ (* -1/2 x) (* 1/48 (/ (pow x 3) (pow y 2)))) y))))
#s(approx (sin (/ x (* y 2))) #s(hole binary64 (* -1 (/ (+ (* -1/2 x) (+ (* -1/3840 (/ (pow x 5) (pow y 4))) (* 1/48 (/ (pow x 3) (pow y 2))))) y))))
#s(approx (sin (/ x (* y 2))) #s(hole binary64 (* -1 (/ (+ (* -1/2 x) (+ (* -1/3840 (/ (pow x 5) (pow y 4))) (+ (* 1/645120 (/ (pow x 7) (pow y 6))) (* 1/48 (/ (pow x 3) (pow y 2)))))) y))))

Calls

6 calls:

Time	Variable		Point	Expression
7.0ms	x	@	-inf	((/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (+ (* (/ (* x x) y) (/ 1/8 y)) 1) (/ (* x x) y) (* x x) (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (tan (/ x (* y 2))) (* (/ x y) 1/2) (/ x y) (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (tan (/ x (* y 2))) (/ x (* y 2)) (* y 2) (tan (+ (PI) (/ x (* 2 y)))) (/ (tan (+ (PI) (/ x (* 2 y)))) (sin (/ x (* y 2)))) (+ (PI) (/ x (* 2 y))) (PI) (sin (/ x (* y 2))) (sin (/ x (* y 2))) (/ x (* 2 y)))
6.0ms	y	@	inf	((/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (+ (* (/ (* x x) y) (/ 1/8 y)) 1) (/ (* x x) y) (* x x) (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (tan (/ x (* y 2))) (* (/ x y) 1/2) (/ x y) (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (tan (/ x (* y 2))) (/ x (* y 2)) (* y 2) (tan (+ (PI) (/ x (* 2 y)))) (/ (tan (+ (PI) (/ x (* 2 y)))) (sin (/ x (* y 2)))) (+ (PI) (/ x (* 2 y))) (PI) (sin (/ x (* y 2))) (sin (/ x (* y 2))) (/ x (* 2 y)))
5.0ms	y	@	-inf	((/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (+ (* (/ (* x x) y) (/ 1/8 y)) 1) (/ (* x x) y) (* x x) (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (tan (/ x (* y 2))) (* (/ x y) 1/2) (/ x y) (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (tan (/ x (* y 2))) (/ x (* y 2)) (* y 2) (tan (+ (PI) (/ x (* 2 y)))) (/ (tan (+ (PI) (/ x (* 2 y)))) (sin (/ x (* y 2)))) (+ (PI) (/ x (* 2 y))) (PI) (sin (/ x (* y 2))) (sin (/ x (* y 2))) (/ x (* 2 y)))
5.0ms	x	@	0	((/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (+ (* (/ (* x x) y) (/ 1/8 y)) 1) (/ (* x x) y) (* x x) (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (tan (/ x (* y 2))) (* (/ x y) 1/2) (/ x y) (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (tan (/ x (* y 2))) (/ x (* y 2)) (* y 2) (tan (+ (PI) (/ x (* 2 y)))) (/ (tan (+ (PI) (/ x (* 2 y)))) (sin (/ x (* y 2)))) (+ (PI) (/ x (* 2 y))) (PI) (sin (/ x (* y 2))) (sin (/ x (* y 2))) (/ x (* 2 y)))
4.0ms	x	@	inf	((/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (+ (* (/ (* x x) y) (/ 1/8 y)) 1) (/ (* x x) y) (* x x) (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (tan (/ x (* y 2))) (* (/ x y) 1/2) (/ x y) (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (tan (/ x (* y 2))) (/ x (* y 2)) (* y 2) (tan (+ (PI) (/ x (* 2 y)))) (/ (tan (+ (PI) (/ x (* 2 y)))) (sin (/ x (* y 2)))) (+ (PI) (/ x (* 2 y))) (PI) (sin (/ x (* y 2))) (sin (/ x (* y 2))) (/ x (* 2 y)))

simplify195.0ms (3.1%)

Memory

-0.8MiB live, 173.9MiB allocated; 69ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	658	3347
1	2167	2831
0	8794	2682

Stop Event

1×	iter limit
1×	node limit

Counts

75 → 75

Calls

Call 1

Inputs
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(hole binary64 1))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(hole binary64 (+ 1 (* 1/8 (/ (pow x 2) (pow y 2))))))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(hole binary64 (+ 1 (* (pow x 2) (+ (* 5/384 (/ (pow x 2) (pow y 4))) (* 1/8 (/ 1 (pow y 2))))))))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(hole binary64 (+ 1 (* (pow x 2) (+ (* (pow x 2) (+ (* 61/46080 (/ (pow x 2) (pow y 6))) (* 5/384 (/ 1 (pow y 4))))) (* 1/8 (/ 1 (pow y 2))))))))
#s(approx (+ (* (/ (* x x) y) (/ 1/8 y)) 1) #s(hole binary64 1))
#s(approx (+ (* (/ (* x x) y) (/ 1/8 y)) 1) #s(hole binary64 (+ 1 (* 1/8 (/ (pow x 2) (pow y 2))))))
#s(approx (/ (* x x) y) #s(hole binary64 (/ (pow x 2) y)))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx (tan (/ x (* y 2))) #s(hole binary64 (* 1/2 (/ x y))))
#s(approx (tan (/ x (* y 2))) #s(hole binary64 (* x (+ (* 1/24 (/ (pow x 2) (pow y 3))) (* 1/2 (/ 1 y))))))
#s(approx (tan (/ x (* y 2))) #s(hole binary64 (* x (+ (* (pow x 2) (+ (* 1/240 (/ (pow x 2) (pow y 5))) (* 1/24 (/ 1 (pow y 3))))) (* 1/2 (/ 1 y))))))
#s(approx (tan (/ x (* y 2))) #s(hole binary64 (* x (+ (* (pow x 2) (+ (* (pow x 2) (+ (* 17/40320 (/ (pow x 2) (pow y 7))) (* 1/240 (/ 1 (pow y 5))))) (* 1/24 (/ 1 (pow y 3))))) (* 1/2 (/ 1 y))))))
#s(approx (* (/ x y) 1/2) #s(hole binary64 (* 1/2 (/ x y))))
#s(approx (/ x y) #s(hole binary64 (/ x y)))
#s(approx (/ x (* y 2)) #s(hole binary64 (* 1/2 (/ x y))))
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#s(approx (tan (+ (PI) (/ x (* 2 y)))) #s(hole binary64 (+ (* x (- (* 1/2 (/ 1 y)) (* -1/2 (/ (pow (sin (PI)) 2) (* y (pow (cos (PI)) 2)))))) (/ (sin (PI)) (cos (PI))))))
#s(approx (tan (+ (PI) (/ x (* 2 y)))) #s(hole binary64 (+ (* x (- (+ (* 1/2 (/ 1 y)) (* 1/2 (/ (* x (* (sin (PI)) (- (* 1/2 (/ 1 y)) (* -1/2 (/ (pow (sin (PI)) 2) (* y (pow (cos (PI)) 2))))))) (* y (cos (PI)))))) (* -1/2 (/ (pow (sin (PI)) 2) (* y (pow (cos (PI)) 2)))))) (/ (sin (PI)) (cos (PI))))))
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#s(approx (+ (PI) (/ x (* 2 y))) #s(hole binary64 (PI)))
#s(approx (+ (PI) (/ x (* 2 y))) #s(hole binary64 (+ (PI) (* 1/2 (/ x y)))))
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#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(hole binary64 (/ 1 (cos (* 1/2 (/ x y))))))
#s(approx (+ (* (/ (* x x) y) (/ 1/8 y)) 1) #s(hole binary64 (* 1/8 (/ (pow x 2) (pow y 2)))))
#s(approx (+ (* (/ (* x x) y) (/ 1/8 y)) 1) #s(hole binary64 (* (pow x 2) (+ (/ 1 (pow x 2)) (* 1/8 (/ 1 (pow y 2)))))))
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#s(approx (tan (+ (PI) (/ x (* 2 y)))) #s(hole binary64 (/ (sin (+ (PI) (* 1/2 (/ x y)))) (cos (+ (PI) (* 1/2 (/ x y)))))))
#s(approx (/ (tan (+ (PI) (/ x (* 2 y)))) (sin (/ x (* y 2)))) #s(hole binary64 (/ (sin (+ (PI) (* 1/2 (/ x y)))) (* (cos (+ (PI) (* 1/2 (/ x y)))) (sin (* 1/2 (/ x y)))))))
#s(approx (+ (PI) (/ x (* 2 y))) #s(hole binary64 (* 1/2 (/ x y))))
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#s(approx (tan (+ (PI) (/ x (* 2 y)))) #s(hole binary64 (/ (sin (- (PI) (* -1/2 (/ x y)))) (cos (- (PI) (* -1/2 (/ x y)))))))
#s(approx (/ (tan (+ (PI) (/ x (* 2 y)))) (sin (/ x (* y 2)))) #s(hole binary64 (/ (sin (- (PI) (* -1/2 (/ x y)))) (* (cos (- (PI) (* -1/2 (/ x y)))) (sin (* 1/2 (/ x y)))))))
#s(approx (+ (PI) (/ x (* 2 y))) #s(hole binary64 (* -1 (* x (- (* -1 (/ (PI) x)) (* 1/2 (/ 1 y)))))))
#s(approx (+ (* (/ (* x x) y) (/ 1/8 y)) 1) #s(hole binary64 (/ (+ (* 1/8 (pow x 2)) (pow y 2)) (pow y 2))))
#s(approx (* y 2) #s(hole binary64 (* 2 y)))
#s(approx (+ (PI) (/ x (* 2 y))) #s(hole binary64 (/ (+ (* 1/2 x) (* y (PI))) y)))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(hole binary64 (- (+ 1 (* 2 (/ (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3))) (* x (pow y 2))))) (* -1/24 (/ (pow x 2) (pow y 2))))))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(hole binary64 (- (+ 1 (+ (* 2 (/ (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3))) (* x (pow y 2)))) (* 2 (/ (- (* 1/3840 (pow x 5)) (+ (* -1/8 (* (pow x 2) (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3))))) (* 1/768 (pow x 5)))) (* x (pow y 4)))))) (+ (* -1/24 (/ (* (pow x 2) (- (* 2 (/ (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3))) x)) (* -1/24 (pow x 2)))) (pow y 4))) (+ (* -1/24 (/ (pow x 2) (pow y 2))) (* 1/1920 (/ (pow x 4) (pow y 4))))))))
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#s(approx (tan (/ x (* y 2))) #s(hole binary64 (/ (- (+ (* -1/48 (/ (pow x 3) (pow y 2))) (+ (* -1/645120 (/ (pow x 7) (pow y 6))) (+ (* 1/3840 (/ (pow x 5) (pow y 4))) (* 1/2 x)))) (+ (* -1/8 (/ (* (pow x 2) (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3)))) (pow y 4))) (+ (* -1/8 (/ (* (pow x 2) (- (* 1/3840 (pow x 5)) (+ (* -1/8 (* (pow x 2) (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3))))) (* 1/768 (pow x 5))))) (pow y 6))) (+ (* -1/16 (/ (pow x 3) (pow y 2))) (+ (* -1/92160 (/ (pow x 7) (pow y 6))) (+ (* 1/768 (/ (pow x 5) (pow y 4))) (* 1/384 (/ (* (pow x 4) (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3)))) (pow y 6))))))))) y)))
#s(approx (tan (+ (PI) (/ x (* 2 y)))) #s(hole binary64 (- (+ (* 1/2 (/ x y)) (/ (sin (PI)) (cos (PI)))) (* -1/2 (/ (* x (pow (sin (PI)) 2)) (* y (pow (cos (PI)) 2)))))))
#s(approx (tan (+ (PI) (/ x (* 2 y)))) #s(hole binary64 (- (+ (* 1/2 (/ x y)) (+ (* 1/2 (/ (* x (* (sin (PI)) (- (* 1/2 x) (* -1/2 (/ (* x (pow (sin (PI)) 2)) (pow (cos (PI)) 2)))))) (* (pow y 2) (cos (PI))))) (/ (sin (PI)) (cos (PI))))) (* -1/2 (/ (* x (pow (sin (PI)) 2)) (* y (pow (cos (PI)) 2)))))))
#s(approx (tan (+ (PI) (/ x (* 2 y)))) #s(hole binary64 (- (+ (* -1/48 (/ (pow x 3) (pow y 3))) (+ (* 1/2 (/ x y)) (/ (sin (PI)) (cos (PI))))) (+ (* -1/2 (/ (* x (* (sin (PI)) (- (* 1/2 x) (* -1/2 (/ (* x (pow (sin (PI)) 2)) (pow (cos (PI)) 2)))))) (* (pow y 2) (cos (PI))))) (+ (* -1/2 (/ (* x (pow (sin (PI)) 2)) (* y (pow (cos (PI)) 2)))) (+ (* -1/4 (/ (* (pow x 2) (* (pow (sin (PI)) 2) (- (* 1/2 x) (* -1/2 (/ (* x (pow (sin (PI)) 2)) (pow (cos (PI)) 2)))))) (* (pow y 3) (pow (cos (PI)) 2)))) (+ (* -1/8 (/ (* (pow x 2) (- (* 1/2 x) (* -1/2 (/ (* x (pow (sin (PI)) 2)) (pow (cos (PI)) 2))))) (pow y 3))) (* 1/48 (/ (* (pow x 3) (pow (sin (PI)) 2)) (* (pow y 3) (pow (cos (PI)) 2)))))))))))
#s(approx (/ (tan (+ (PI) (/ x (* 2 y)))) (sin (/ x (* y 2)))) #s(hole binary64 (* y (+ (* 2 (/ (sin (PI)) (* x (cos (PI))))) (* 2 (/ (- (* 1/2 x) (* -1/2 (/ (* x (pow (sin (PI)) 2)) (pow (cos (PI)) 2)))) (* x y)))))))
#s(approx (/ (tan (+ (PI) (/ x (* 2 y)))) (sin (/ x (* y 2)))) #s(hole binary64 (* y (- (+ (* 2 (/ (sin (PI)) (* x (cos (PI))))) (+ (* 2 (/ (- (* 1/2 x) (* -1/2 (/ (* x (pow (sin (PI)) 2)) (pow (cos (PI)) 2)))) (* x y))) (/ (* (sin (PI)) (- (* 1/2 x) (* -1/2 (/ (* x (pow (sin (PI)) 2)) (pow (cos (PI)) 2))))) (* (pow y 2) (cos (PI)))))) (* -1/12 (/ (* x (sin (PI))) (* (pow y 2) (cos (PI)))))))))
#s(approx (/ (tan (+ (PI) (/ x (* 2 y)))) (sin (/ x (* y 2)))) #s(hole binary64 (* y (- (+ (* 2 (/ (sin (PI)) (* x (cos (PI))))) (+ (* 2 (/ (- (* -1/48 (pow x 3)) (+ (* -1/4 (/ (* (pow x 2) (* (pow (sin (PI)) 2) (- (* 1/2 x) (* -1/2 (/ (* x (pow (sin (PI)) 2)) (pow (cos (PI)) 2)))))) (pow (cos (PI)) 2))) (+ (* -1/8 (* (pow x 2) (- (* 1/2 x) (* -1/2 (/ (* x (pow (sin (PI)) 2)) (pow (cos (PI)) 2)))))) (* 1/48 (/ (* (pow x 3) (pow (sin (PI)) 2)) (pow (cos (PI)) 2)))))) (* x (pow y 3)))) (+ (* 2 (/ (- (* 1/2 x) (* -1/2 (/ (* x (pow (sin (PI)) 2)) (pow (cos (PI)) 2)))) (* x y))) (/ (* (sin (PI)) (- (* 1/2 x) (* -1/2 (/ (* x (pow (sin (PI)) 2)) (pow (cos (PI)) 2))))) (* (pow y 2) (cos (PI))))))) (+ (* -1/12 (/ (* x (sin (PI))) (* (pow y 2) (cos (PI))))) (* -1/12 (/ (* x (- (* 1/2 x) (* -1/2 (/ (* x (pow (sin (PI)) 2)) (pow (cos (PI)) 2))))) (pow y 3))))))))
#s(approx (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 (tan (+ (PI) (/ x (* 2 y)))) #s(hole binary64 (+ (* -1 (/ (- (* -1/2 x) (* 1/2 (/ (* x (pow (sin (PI)) 2)) (pow (cos (PI)) 2)))) y)) (/ (sin (PI)) (cos (PI))))))
#s(approx (tan (+ (PI) (/ x (* 2 y)))) #s(hole binary64 (+ (* -1 (/ (- (+ (* -1/2 x) (* 1/2 (/ (* x (* (sin (PI)) (- (* -1/2 x) (* 1/2 (/ (* x (pow (sin (PI)) 2)) (pow (cos (PI)) 2)))))) (* y (cos (PI)))))) (* 1/2 (/ (* x (pow (sin (PI)) 2)) (pow (cos (PI)) 2)))) y)) (/ (sin (PI)) (cos (PI))))))
#s(approx (tan (+ (PI) (/ x (* 2 y)))) #s(hole binary64 (+ (* -1 (/ (- (+ (* -1 (/ (- (* -1 (/ (- (* 1/48 (pow x 3)) (+ (* -1/4 (/ (* (pow x 2) (* (pow (sin (PI)) 2) (- (* -1/2 x) (* 1/2 (/ (* x (pow (sin (PI)) 2)) (pow (cos (PI)) 2)))))) (pow (cos (PI)) 2))) (+ (* -1/8 (* (pow x 2) (- (* -1/2 x) (* 1/2 (/ (* x (pow (sin (PI)) 2)) (pow (cos (PI)) 2)))))) (* -1/48 (/ (* (pow x 3) (pow (sin (PI)) 2)) (pow (cos (PI)) 2)))))) y)) (* 1/2 (/ (* x (* (sin (PI)) (- (* -1/2 x) (* 1/2 (/ (* x (pow (sin (PI)) 2)) (pow (cos (PI)) 2)))))) (cos (PI))))) y)) (* -1/2 x)) (* 1/2 (/ (* x (pow (sin (PI)) 2)) (pow (cos (PI)) 2)))) y)) (/ (sin (PI)) (cos (PI))))))
#s(approx (/ (tan (+ (PI) (/ x (* 2 y)))) (sin (/ x (* y 2)))) #s(hole binary64 (* -1 (* y (+ (* -2 (/ (sin (PI)) (* x (cos (PI))))) (* 2 (/ (- (* -1/2 x) (* 1/2 (/ (* x (pow (sin (PI)) 2)) (pow (cos (PI)) 2)))) (* x y))))))))
#s(approx (/ (tan (+ (PI) (/ x (* 2 y)))) (sin (/ x (* y 2)))) #s(hole binary64 (* -1 (* y (+ (* -2 (/ (sin (PI)) (* x (cos (PI))))) (* -1 (/ (+ (* -2 (/ (- (* -1/2 x) (* 1/2 (/ (* x (pow (sin (PI)) 2)) (pow (cos (PI)) 2)))) x)) (* -1 (/ (- (/ (* (sin (PI)) (- (* -1/2 x) (* 1/2 (/ (* x (pow (sin (PI)) 2)) (pow (cos (PI)) 2))))) (cos (PI))) (* 1/12 (/ (* x (sin (PI))) (cos (PI))))) y))) y)))))))
#s(approx (/ (tan (+ (PI) (/ x (* 2 y)))) (sin (/ x (* y 2)))) #s(hole binary64 (* -1 (* y (+ (* -2 (/ (sin (PI)) (* x (cos (PI))))) (* -1 (/ (+ (* -2 (/ (- (* -1/2 x) (* 1/2 (/ (* x (pow (sin (PI)) 2)) (pow (cos (PI)) 2)))) x)) (* -1 (/ (- (+ (* -1 (/ (- (* -2 (/ (- (* 1/48 (pow x 3)) (+ (* -1/4 (/ (* (pow x 2) (* (pow (sin (PI)) 2) (- (* -1/2 x) (* 1/2 (/ (* x (pow (sin (PI)) 2)) (pow (cos (PI)) 2)))))) (pow (cos (PI)) 2))) (+ (* -1/8 (* (pow x 2) (- (* -1/2 x) (* 1/2 (/ (* x (pow (sin (PI)) 2)) (pow (cos (PI)) 2)))))) (* -1/48 (/ (* (pow x 3) (pow (sin (PI)) 2)) (pow (cos (PI)) 2)))))) x)) (* 1/12 (* x (- (* -1/2 x) (* 1/2 (/ (* x (pow (sin (PI)) 2)) (pow (cos (PI)) 2))))))) y)) (/ (* (sin (PI)) (- (* -1/2 x) (* 1/2 (/ (* x (pow (sin (PI)) 2)) (pow (cos (PI)) 2))))) (cos (PI)))) (* 1/12 (/ (* x (sin (PI))) (cos (PI))))) y))) y)))))))
#s(approx (sin (/ x (* y 2))) #s(hole binary64 (* -1 (/ (+ (* -1/2 x) (* 1/48 (/ (pow x 3) (pow y 2)))) y))))
#s(approx (sin (/ x (* y 2))) #s(hole binary64 (* -1 (/ (+ (* -1/2 x) (+ (* -1/3840 (/ (pow x 5) (pow y 4))) (* 1/48 (/ (pow x 3) (pow y 2))))) y))))
#s(approx (sin (/ x (* y 2))) #s(hole binary64 (* -1 (/ (+ (* -1/2 x) (+ (* -1/3840 (/ (pow x 5) (pow y 4))) (+ (* 1/645120 (/ (pow x 7) (pow y 6))) (* 1/48 (/ (pow x 3) (pow y 2)))))) y))))

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

rewrite83.0ms (1.3%)

Memory

-14.3MiB live, 93.2MiB allocated; 34ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	38	201
0	65	197
1	203	197
0	1271	197

Stop Event

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

Counts

20 → 152

Calls

Call 1

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

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

eval38.0ms (0.6%)

Memory: 21.1MiB live, 111.6MiB allocated; 13ms collecting garbage
Compiler: Compiled 8 641 to 1 108 computations (87.2% saved)

prune30.0ms (0.5%)

Memory

8.6MiB live, 55.3MiB allocated; 4ms collecting garbage

Pruning

20 alts after pruning (19 fresh and 1 done)

	Pruned	Kept	Total
New	259	12	271
Fresh	0	7	7
Picked	4	1	5
Done	0	0	0
Total	263	20	283

Accuracy

62.5%

Counts

283 → 20

Alt Table

Click to see full alt table

Status	Accuracy	Program
	8.1%	(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x y))) (sin.f64 (/.f64 x y))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
	8.2%	(/.f64 (/.f64 (+.f64 (tan.f64 (/.f64 x (.f64 #s(literal 2 binary64) y))) (tan.f64 (PI.f64))) (-.f64 #s(literal 1 binary64) (.f64 (tan.f64 (/.f64 x (.f64 #s(literal 2 binary64) y))) (tan.f64 (PI.f64))))) (sin.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))))
▶	44.0%	(/.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)))))
	35.8%	(/.f64 (/.f64 (sin.f64 (/.f64 x y)) (+.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x y)))) #s(approx (sin (/ x (* y 2))) (.f64 (/.f64 (fma.f64 (/.f64 #s(literal -1/48 binary64) y) (/.f64 (.f64 x x) y) #s(literal 1/2 binary64)) y) x)))
	44.5%	(/.f64 (/.f64 (neg.f64 (sin.f64 (/.f64 x (.f64 #s(literal 2 binary64) y)))) (cos.f64 (+.f64 (PI.f64) (/.f64 x (.f64 #s(literal 2 binary64) y))))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
	6.2%	(/.f64 (tan.f64 (/.f64 (-.f64 (pow.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64)) #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)))))
	5.8%	(/.f64 (tan.f64 (/.f64 (+.f64 (pow.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (PI.f64) #s(literal 3 binary64))) (fma.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64)) (-.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64)) (PI.f64)) (.f64 (PI.f64) (PI.f64))))) (sin.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))))
▶	44.1%	(/.f64 (tan.f64 (/.f64 x (+.f64 y y))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
	39.3%	(/.f64 (tan.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) #s(approx (sin (/ x ( y 2))) (.f64 (/.f64 (fma.f64 (/.f64 #s(literal -1/48 binary64) y) (.f64 (/.f64 x y) x) #s(literal 1/2 binary64)) y) x)))
	39.3%	(/.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))))
	8.1%	(/.f64 (tan.f64 (+.f64 (PI.f64) (/.f64 x (*.f64 #s(literal 2 binary64) y)))) (sin.f64 (/.f64 x (+.f64 y y))))
	8.2%	(/.f64 (tan.f64 #s(approx (+ (PI) (/ x (* 2 y))) (.f64 (+.f64 (/.f64 (PI.f64) x) (/.f64 #s(literal 1/2 binary64) y)) x))) (sin.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))))
	2.7%	(/.f64 (tan.f64 #s(approx (+ (PI) (/ x (* 2 y))) (PI.f64))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
	38.9%	(/.f64 #s(approx (tan (/ x (* y 2))) (*.f64 (/.f64 x y) #s(literal 1/2 binary64))) (sin.f64 (/.f64 x (+.f64 y y))))
▶	38.9%	(/.f64 #s(approx (tan (/ x (* y 2))) (.f64 x (/.f64 #s(literal 1/2 binary64) y))) (sin.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))))
	52.5%	#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (fma.f64 (*.f64 (/.f64 x y) x) (/.f64 #s(literal 1/8 binary64) y) #s(literal 1 binary64)))
	47.3%	#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (fma.f64 (.f64 x x) (/.f64 #s(literal 1/8 binary64) (.f64 y y)) #s(literal 1 binary64)))
▶	57.0%	#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y)))))
✓	57.3%	#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(literal 1 binary64))
▶	3.1%	#s(approx (/ (tan (+ (PI) (/ x (* 2 y)))) (sin (/ x (* y 2)))) #s(literal 0 binary64))

Compiler

Compiled 865 to 600 computations (30.6% saved)

simplify220.0ms (3.5%)

Memory

-45.9MiB live, 313.2MiB allocated; 111ms collecting garbage

Localize:

Found 17 expressions of interest:

New	Metric	Score
cost-diff	0	(/.f64 x y)
cost-diff	0	(sin.f64 (/.f64 x y))
cost-diff	0	(/.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)))))
cost-diff	5	(/.f64 (sin.f64 (/.f64 x y)) (+.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x y))))
cost-diff	0	(+.f64 y y)
cost-diff	0	(/.f64 x (+.f64 y y))
cost-diff	0	(tan.f64 (/.f64 x (+.f64 y y)))
cost-diff	0	(/.f64 (tan.f64 (/.f64 x (+.f64 y y))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
cost-diff	0	(/.f64 #s(literal 1/2 binary64) y)
cost-diff	0	(*.f64 x (/.f64 #s(literal 1/2 binary64) y))
cost-diff	0	#s(approx (tan (/ x (* y 2))) (*.f64 x (/.f64 #s(literal 1/2 binary64) y)))
cost-diff	0	(/.f64 #s(approx (tan (/ x (* y 2))) (.f64 x (/.f64 #s(literal 1/2 binary64) y))) (sin.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))))
cost-diff	0	#s(approx (/ (tan (+ (PI) (/ x (* 2 y)))) (sin (/ x (* y 2)))) #s(literal 0 binary64))
cost-diff	0	(*.f64 #s(literal -1/2 binary64) (/.f64 x y))
cost-diff	0	(cos.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y)))
cost-diff	0	(/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y))))
cost-diff	0	#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y)))))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	40	231
0	61	219
1	97	219
2	139	219
3	235	219
4	551	219
5	2760	219
0	8198	219

Stop Event

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

Calls

Call 1

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

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

localize339.0ms (5.4%)

Memory

34.3MiB live, 548.2MiB allocated; 139ms collecting garbage

Localize:

Found 17 expressions of interest:

New	Metric	Score
accuracy	7.92196303362641	(/.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)))))
accuracy	27.238070622693982	(sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))
accuracy	27.324086358387284	(cos.f64 (/.f64 x y))
accuracy	27.56138756480414	(sin.f64 (/.f64 x y))
accuracy	0.22487956913472879	(/.f64 x (*.f64 y #s(literal 2 binary64)))
accuracy	7.92196303362641	(/.f64 (tan.f64 (/.f64 x (+.f64 y y))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
accuracy	27.238070622693982	(sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))
accuracy	27.796318901135304	(tan.f64 (/.f64 x (+.f64 y y)))
accuracy	0.23046875	(*.f64 x (/.f64 #s(literal 1/2 binary64) y))
accuracy	7.92196303362641	(/.f64 #s(approx (tan (/ x (* y 2))) (.f64 x (/.f64 #s(literal 1/2 binary64) y))) (sin.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))))
accuracy	27.238070622693982	(sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))
accuracy	30.631580808849563	#s(approx (tan (/ x (* y 2))) (*.f64 x (/.f64 #s(literal 1/2 binary64) y)))
accuracy	61.999271775141196	#s(approx (/ (tan (+ (PI) (/ x (* 2 y)))) (sin (/ x (* y 2)))) #s(literal 0 binary64))
accuracy	0.0	#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y)))))
accuracy	0.00390625	(*.f64 #s(literal -1/2 binary64) (/.f64 x y))
accuracy	0.09375	(/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y))))
accuracy	27.37815683646518	(cos.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y)))

Samples

216.0ms	187×	1	valid
86.0ms	62×	2	valid
6.0ms	3×	3	valid
1.0ms	4×	0	valid

Compiler

Compiled 210 to 35 computations (83.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 206.0ms

ival-tan: 63.0ms (30.6% of total)

ival-mult: 41.0ms (19.9% of total)

ival-div: 39.0ms (18.9% of total)

adjust: 23.0ms (11.2% of total)

ival-sin: 16.0ms (7.8% of total)

ival-cos: 14.0ms (6.8% of total)

ival-add: 6.0ms (2.9% of total)

ival-pi: 2.0ms (1% of total)

exact: 1.0ms (0.5% of total)

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

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

series49.0ms (0.8%)

Memory

-8.7MiB live, 81.1MiB allocated; 13ms collecting garbage

Counts

20 → 128

Calls

Call 1

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

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

6 calls:

Time	Variable		Point	Expression
18.0ms	y	@	-inf	((/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/ 1 (cos (* -1/2 (/ x y)))) (cos (* -1/2 (/ x y))) (* -1/2 (/ x y)) (/ (tan (+ (PI) (/ x (* 2 y)))) (sin (/ x (* y 2)))) (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (tan (/ x (* y 2))) (* x (/ 1/2 y)) (/ 1/2 y) (/ (tan (/ x (+ y y))) (sin (/ x (* y 2)))) (tan (/ x (+ y y))) (/ x (+ y y)) (+ y y) (/ (sin (/ x y)) (+ 1 (cos (/ x y)))) (/ (/ (sin (/ x y)) (+ 1 (cos (/ x y)))) (sin (/ x (* y 2)))) (sin (/ x y)) (/ x y) (sin (/ x (* y 2))) (/ x (* y 2)) (cos (/ x y)))
9.0ms	x	@	0	((/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/ 1 (cos (* -1/2 (/ x y)))) (cos (* -1/2 (/ x y))) (* -1/2 (/ x y)) (/ (tan (+ (PI) (/ x (* 2 y)))) (sin (/ x (* y 2)))) (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (tan (/ x (* y 2))) (* x (/ 1/2 y)) (/ 1/2 y) (/ (tan (/ x (+ y y))) (sin (/ x (* y 2)))) (tan (/ x (+ y y))) (/ x (+ y y)) (+ y y) (/ (sin (/ x y)) (+ 1 (cos (/ x y)))) (/ (/ (sin (/ x y)) (+ 1 (cos (/ x y)))) (sin (/ x (* y 2)))) (sin (/ x y)) (/ x y) (sin (/ x (* y 2))) (/ x (* y 2)) (cos (/ x y)))
7.0ms	y	@	inf	((/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/ 1 (cos (* -1/2 (/ x y)))) (cos (* -1/2 (/ x y))) (* -1/2 (/ x y)) (/ (tan (+ (PI) (/ x (* 2 y)))) (sin (/ x (* y 2)))) (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (tan (/ x (* y 2))) (* x (/ 1/2 y)) (/ 1/2 y) (/ (tan (/ x (+ y y))) (sin (/ x (* y 2)))) (tan (/ x (+ y y))) (/ x (+ y y)) (+ y y) (/ (sin (/ x y)) (+ 1 (cos (/ x y)))) (/ (/ (sin (/ x y)) (+ 1 (cos (/ x y)))) (sin (/ x (* y 2)))) (sin (/ x y)) (/ x y) (sin (/ x (* y 2))) (/ x (* y 2)) (cos (/ x y)))
4.0ms	x	@	inf	((/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/ 1 (cos (* -1/2 (/ x y)))) (cos (* -1/2 (/ x y))) (* -1/2 (/ x y)) (/ (tan (+ (PI) (/ x (* 2 y)))) (sin (/ x (* y 2)))) (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (tan (/ x (* y 2))) (* x (/ 1/2 y)) (/ 1/2 y) (/ (tan (/ x (+ y y))) (sin (/ x (* y 2)))) (tan (/ x (+ y y))) (/ x (+ y y)) (+ y y) (/ (sin (/ x y)) (+ 1 (cos (/ x y)))) (/ (/ (sin (/ x y)) (+ 1 (cos (/ x y)))) (sin (/ x (* y 2)))) (sin (/ x y)) (/ x y) (sin (/ x (* y 2))) (/ x (* y 2)) (cos (/ x y)))
4.0ms	x	@	-inf	((/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/ 1 (cos (* -1/2 (/ x y)))) (cos (* -1/2 (/ x y))) (* -1/2 (/ x y)) (/ (tan (+ (PI) (/ x (* 2 y)))) (sin (/ x (* y 2)))) (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (tan (/ x (* y 2))) (* x (/ 1/2 y)) (/ 1/2 y) (/ (tan (/ x (+ y y))) (sin (/ x (* y 2)))) (tan (/ x (+ y y))) (/ x (+ y y)) (+ y y) (/ (sin (/ x y)) (+ 1 (cos (/ x y)))) (/ (/ (sin (/ x y)) (+ 1 (cos (/ x y)))) (sin (/ x (* y 2)))) (sin (/ x y)) (/ x y) (sin (/ x (* y 2))) (/ x (* y 2)) (cos (/ x y)))

simplify175.0ms (2.8%)

Memory

-14.5MiB live, 221.6MiB allocated; 41ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	971	6535
1	3092	6024
0	8713	5710

Stop Event

1×	iter limit
1×	node limit

Counts

128 → 128

Calls

Call 1

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

rewrite27.0ms (0.4%)

Memory

37.8MiB live, 37.8MiB allocated; 0ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	40	175
0	61	163
0	194	163

Stop Event

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

Counts

20 → 61

Calls

Call 1

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

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

eval32.0ms (0.5%)

Memory: -34.5MiB live, 54.5MiB allocated; 14ms collecting garbage
Compiler: Compiled 6 587 to 959 computations (85.4% saved)

prune18.0ms (0.3%)

Memory

1.7MiB live, 47.7MiB allocated; 4ms collecting garbage

Pruning

23 alts after pruning (20 fresh and 3 done)

	Pruned	Kept	Total
New	157	12	169
Fresh	6	8	14
Picked	3	2	5
Done	0	1	1
Total	166	23	189

Accuracy

62.8%

Counts

189 → 23

Alt Table

Click to see full alt table

Status	Accuracy	Program
	8.1%	(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x y))) (sin.f64 (/.f64 x y))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
	8.2%	(/.f64 (/.f64 (+.f64 (tan.f64 (/.f64 x (.f64 #s(literal 2 binary64) y))) (tan.f64 (PI.f64))) (-.f64 #s(literal 1 binary64) (.f64 (tan.f64 (/.f64 x (.f64 #s(literal 2 binary64) y))) (tan.f64 (PI.f64))))) (sin.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))))
	43.6%	(/.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)))))
	39.5%	(/.f64 (/.f64 (sin.f64 (/.f64 x y)) (+.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x y)))) #s(approx (sin (/ x (* y 2))) (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)))
	44.5%	(/.f64 (/.f64 (neg.f64 (sin.f64 (/.f64 x (.f64 #s(literal 2 binary64) y)))) (cos.f64 (+.f64 (PI.f64) (/.f64 x (.f64 #s(literal 2 binary64) y))))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
	6.2%	(/.f64 (tan.f64 (/.f64 (-.f64 (pow.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64)) #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)))))
	39.3%	(/.f64 (tan.f64 (/.f64 x (+.f64 y y))) #s(approx (sin (/ x (* y 2))) (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)))
▶	43.8%	(/.f64 (tan.f64 (/.f64 x (+.f64 y y))) #s(approx (sin (/ x (* y 2))) (sin.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x))))
	8.1%	(/.f64 (tan.f64 (+.f64 (PI.f64) (/.f64 x (*.f64 #s(literal 2 binary64) y)))) (sin.f64 (/.f64 x (+.f64 y y))))
	43.9%	(/.f64 (tan.f64 #s(approx (/ x (+ y y)) (.f64 (/.f64 #s(literal 1/2 binary64) y) x))) (sin.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))))
▶	38.9%	(/.f64 #s(approx (tan (/ x (* y 2))) (*.f64 (/.f64 x y) #s(literal 1/2 binary64))) (sin.f64 (/.f64 x (+.f64 y y))))
	33.6%	(/.f64 #s(approx (tan (/ x (* y 2))) (.f64 x (/.f64 #s(literal 1/2 binary64) y))) #s(approx (sin (/ x ( y 2))) (/.f64 (fma.f64 (/.f64 #s(literal -1/48 binary64) y) (/.f64 (pow.f64 x #s(literal 3 binary64)) y) (*.f64 #s(literal 1/2 binary64) x)) y)))
	39.4%	(/.f64 #s(approx (tan (/ x (* y 2))) (.f64 x (/.f64 #s(literal 1/2 binary64) y))) #s(approx (sin (/ x ( y 2))) (sin.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x))))
	7.9%	#s(approx (/ (tan (/ x (+ y y))) (sin (/ x (* y 2)))) (/.f64 (sin.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) y) x (PI.f64))) (.f64 (sin.f64 (.f64 (/.f64 #s(literal 1/2 binary64) y) x)) (cos.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) y) x (PI.f64))))))
▶	43.8%	#s(approx (/ (tan (/ x (+ y y))) (sin (/ x (* y 2)))) (/.f64 (sin.f64 (/.f64 x y)) (.f64 (sin.f64 (.f64 (/.f64 #s(literal 1/2 binary64) y) x)) (+.f64 (cos.f64 (/.f64 x y)) #s(literal 1 binary64)))))
	56.7%	#s(approx (/ (tan (/ x (+ y y))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x))))
	52.5%	#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (fma.f64 (*.f64 (/.f64 x y) x) (/.f64 #s(literal 1/8 binary64) y) #s(literal 1 binary64)))
▶	47.3%	#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (fma.f64 (.f64 x x) (/.f64 #s(literal 1/8 binary64) (.f64 y y)) #s(literal 1 binary64)))
▶	57.5%	#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (sin.f64 (fma.f64 (/.f64 x y) #s(literal -1/2 binary64) (/.f64 (PI.f64) #s(literal 2 binary64))))))
✓	57.0%	#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y)))))
	49.3%	#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) #s(approx (cos (* -1/2 (/ x y))) (fma.f64 (/.f64 #s(literal -1/8 binary64) y) (/.f64 (*.f64 x x) y) #s(literal 1 binary64)))))
✓	57.3%	#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(literal 1 binary64))
✓	3.1%	#s(approx (/ (tan (+ (PI) (/ x (* 2 y)))) (sin (/ x (* y 2)))) #s(literal 0 binary64))

Compiler

Compiled 1 034 to 695 computations (32.8% saved)

simplify146.0ms (2.3%)

Memory

24.2MiB live, 168.6MiB allocated; 13ms collecting garbage

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(/.f64 x y)
cost-diff	0	(sin.f64 (/.f64 x y))
cost-diff	0	#s(approx (/ (tan (/ x (+ y y))) (sin (/ x (* y 2)))) (/.f64 (sin.f64 (/.f64 x y)) (.f64 (sin.f64 (.f64 (/.f64 #s(literal 1/2 binary64) y) x)) (+.f64 (cos.f64 (/.f64 x y)) #s(literal 1 binary64)))))
cost-diff	5	(/.f64 (sin.f64 (/.f64 x y)) (.f64 (sin.f64 (.f64 (/.f64 #s(literal 1/2 binary64) y) x)) (+.f64 (cos.f64 (/.f64 x y)) #s(literal 1 binary64))))
cost-diff	0	(+.f64 y y)
cost-diff	0	(/.f64 x (+.f64 y y))
cost-diff	0	(tan.f64 (/.f64 x (+.f64 y y)))
cost-diff	0	(/.f64 (tan.f64 (/.f64 x (+.f64 y y))) #s(approx (sin (/ x (* y 2))) (sin.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x))))
cost-diff	0	(/.f64 x y)
cost-diff	0	(*.f64 (/.f64 x y) #s(literal 1/2 binary64))
cost-diff	0	#s(approx (tan (/ x (* y 2))) (*.f64 (/.f64 x y) #s(literal 1/2 binary64)))
cost-diff	0	(/.f64 #s(approx (tan (/ x (* y 2))) (*.f64 (/.f64 x y) #s(literal 1/2 binary64))) (sin.f64 (/.f64 x (+.f64 y y))))
cost-diff	0	(/.f64 #s(literal 1/8 binary64) (*.f64 y y))
cost-diff	0	(*.f64 x x)
cost-diff	0	(fma.f64 (.f64 x x) (/.f64 #s(literal 1/8 binary64) (.f64 y y)) #s(literal 1 binary64))
cost-diff	0	#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (fma.f64 (.f64 x x) (/.f64 #s(literal 1/8 binary64) (.f64 y y)) #s(literal 1 binary64)))
cost-diff	0	(fma.f64 (/.f64 x y) #s(literal -1/2 binary64) (/.f64 (PI.f64) #s(literal 2 binary64)))
cost-diff	0	(/.f64 #s(literal 1 binary64) (sin.f64 (fma.f64 (/.f64 x y) #s(literal -1/2 binary64) (/.f64 (PI.f64) #s(literal 2 binary64)))))
cost-diff	0	#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (sin.f64 (fma.f64 (/.f64 x y) #s(literal -1/2 binary64) (/.f64 (PI.f64) #s(literal 2 binary64))))))
cost-diff	3	(sin.f64 (fma.f64 (/.f64 x y) #s(literal -1/2 binary64) (/.f64 (PI.f64) #s(literal 2 binary64))))

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	46	332
0	73	323
1	127	313
2	253	313
3	727	313
4	2437	313
5	7833	313
0	8046	313

Stop Event

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

Calls

Call 1

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

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

localize248.0ms (4%)

Memory

-1.9MiB live, 413.9MiB allocated; 102ms collecting garbage

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	7.89852553362641	(/.f64 (sin.f64 (/.f64 x y)) (.f64 (sin.f64 (.f64 (/.f64 #s(literal 1/2 binary64) y) x)) (+.f64 (cos.f64 (/.f64 x y)) #s(literal 1 binary64))))
accuracy	27.238070622693982	(sin.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x))
accuracy	27.324086358387284	(cos.f64 (/.f64 x y))
accuracy	27.56138756480414	(sin.f64 (/.f64 x y))
accuracy	0.23046875	(*.f64 (/.f64 #s(literal 1/2 binary64) y) x)
accuracy	7.92196303362641	(/.f64 (tan.f64 (/.f64 x (+.f64 y y))) #s(approx (sin (/ x (* y 2))) (sin.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x))))
accuracy	27.238070622693982	(sin.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x))
accuracy	27.796318901135304	(tan.f64 (/.f64 x (+.f64 y y)))
accuracy	0.22487956913472879	(/.f64 x (+.f64 y y))
accuracy	7.92196303362641	(/.f64 #s(approx (tan (/ x (* y 2))) (*.f64 (/.f64 x y) #s(literal 1/2 binary64))) (sin.f64 (/.f64 x (+.f64 y y))))
accuracy	27.238070622693982	(sin.f64 (/.f64 x (+.f64 y y)))
accuracy	30.631580808849563	#s(approx (tan (/ x (* y 2))) (*.f64 (/.f64 x y) #s(literal 1/2 binary64)))
accuracy	0.0	(*.f64 x x)
accuracy	0.5146752810366083	(/.f64 #s(literal 1/8 binary64) (*.f64 y y))
accuracy	9.370395612313535	(fma.f64 (.f64 x x) (/.f64 #s(literal 1/8 binary64) (.f64 y y)) #s(literal 1 binary64))
accuracy	30.40546906135282	#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (fma.f64 (.f64 x x) (/.f64 #s(literal 1/8 binary64) (.f64 y y)) #s(literal 1 binary64)))
accuracy	0.0	#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (sin.f64 (fma.f64 (/.f64 x y) #s(literal -1/2 binary64) (/.f64 (PI.f64) #s(literal 2 binary64))))))
accuracy	0.0234375	(fma.f64 (/.f64 x y) #s(literal -1/2 binary64) (/.f64 (PI.f64) #s(literal 2 binary64)))
accuracy	0.09375	(/.f64 #s(literal 1 binary64) (sin.f64 (fma.f64 (/.f64 x y) #s(literal -1/2 binary64) (/.f64 (PI.f64) #s(literal 2 binary64)))))
accuracy	27.11120629139594	(sin.f64 (fma.f64 (/.f64 x y) #s(literal -1/2 binary64) (/.f64 (PI.f64) #s(literal 2 binary64))))

Samples

139.0ms	123×	1	valid
52.0ms	133×	0	valid

Compiler

Compiled 270 to 41 computations (84.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 162.0ms

ival-sin: 76.0ms (47% of total)

ival-div: 23.0ms (14.2% of total)

ival-mult: 19.0ms (11.8% of total)

adjust: 13.0ms (8% of total)

ival-cos: 12.0ms (7.4% of total)

ival-tan: 11.0ms (6.8% of total)

ival-add: 6.0ms (3.7% of total)

ival-pi: 1.0ms (0.6% of total)

exact: 1.0ms (0.6% of total)

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

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

series36.0ms (0.6%)

Memory

16.6MiB live, 74.6MiB allocated; 19ms collecting garbage

Counts

23 → 144

Calls

Call 1

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

Outputs
#s(approx (sin (+ (* (/ x y) -1/2) (/ (PI) 2))) #s(hole binary64 (sin (* 1/2 (PI)))))
#s(approx (sin (+ (* (/ x y) -1/2) (/ (PI) 2))) #s(hole binary64 (+ (sin (* 1/2 (PI))) (* -1/2 (/ (* x (cos (* 1/2 (PI)))) y)))))
#s(approx (sin (+ (* (/ x y) -1/2) (/ (PI) 2))) #s(hole binary64 (+ (sin (* 1/2 (PI))) (* x (+ (* -1/2 (/ (cos (* 1/2 (PI))) y)) (* -1/8 (/ (* x (sin (* 1/2 (PI)))) (pow y 2))))))))
#s(approx (sin (+ (* (/ x y) -1/2) (/ (PI) 2))) #s(hole binary64 (+ (sin (* 1/2 (PI))) (* x (+ (* -1/2 (/ (cos (* 1/2 (PI))) y)) (* x (+ (* -1/8 (/ (sin (* 1/2 (PI))) (pow y 2))) (* 1/48 (/ (* x (cos (* 1/2 (PI)))) (pow y 3))))))))))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(hole binary64 1))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(hole binary64 (+ 1 (* 1/8 (/ (pow x 2) (pow y 2))))))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(hole binary64 (+ 1 (* (pow x 2) (+ (* 5/384 (/ (pow x 2) (pow y 4))) (* 1/8 (/ 1 (pow y 2))))))))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(hole binary64 (+ 1 (* (pow x 2) (+ (* (pow x 2) (+ (* 61/46080 (/ (pow x 2) (pow y 6))) (* 5/384 (/ 1 (pow y 4))))) (* 1/8 (/ 1 (pow y 2))))))))
#s(approx (/ 1 (sin (+ (* (/ x y) -1/2) (/ (PI) 2)))) #s(hole binary64 (/ 1 (sin (* 1/2 (PI))))))
#s(approx (/ 1 (sin (+ (* (/ x y) -1/2) (/ (PI) 2)))) #s(hole binary64 (+ (* 1/2 (/ (* x (cos (* 1/2 (PI)))) (* y (pow (sin (* 1/2 (PI))) 2)))) (/ 1 (sin (* 1/2 (PI)))))))
#s(approx (/ 1 (sin (+ (* (/ x y) -1/2) (/ (PI) 2)))) #s(hole binary64 (+ (* x (- (* x (- (* 1/8 (/ 1 (* (pow y 2) (sin (* 1/2 (PI)))))) (* -1/4 (/ (pow (cos (* 1/2 (PI))) 2) (* (pow y 2) (pow (sin (* 1/2 (PI))) 3)))))) (* -1/2 (/ (cos (* 1/2 (PI))) (* y (pow (sin (* 1/2 (PI))) 2)))))) (/ 1 (sin (* 1/2 (PI)))))))
#s(approx (/ 1 (sin (+ (* (/ x y) -1/2) (/ (PI) 2)))) #s(hole binary64 (+ (* x (- (* x (- (+ (* -1 (* x (+ (* -1/2 (/ (* (cos (* 1/2 (PI))) (- (* 1/8 (/ 1 (* (pow y 2) (sin (* 1/2 (PI)))))) (* -1/4 (/ (pow (cos (* 1/2 (PI))) 2) (* (pow y 2) (pow (sin (* 1/2 (PI))) 3)))))) (* y (sin (* 1/2 (PI)))))) (+ (* -1/16 (/ (cos (* 1/2 (PI))) (* (pow y 3) (pow (sin (* 1/2 (PI))) 2)))) (* 1/48 (/ (cos (* 1/2 (PI))) (* (pow y 3) (pow (sin (* 1/2 (PI))) 2)))))))) (* 1/8 (/ 1 (* (pow y 2) (sin (* 1/2 (PI))))))) (* -1/4 (/ (pow (cos (* 1/2 (PI))) 2) (* (pow y 2) (pow (sin (* 1/2 (PI))) 3)))))) (* -1/2 (/ (cos (* 1/2 (PI))) (* y (pow (sin (* 1/2 (PI))) 2)))))) (/ 1 (sin (* 1/2 (PI)))))))
#s(approx (+ (* (/ x y) -1/2) (/ (PI) 2)) #s(hole binary64 (* 1/2 (PI))))
#s(approx (+ (* (/ x y) -1/2) (/ (PI) 2)) #s(hole binary64 (+ (* -1/2 (/ x y)) (* 1/2 (PI)))))
#s(approx (+ (* (* x x) (/ 1/8 (* y y))) 1) #s(hole binary64 1))
#s(approx (+ (* (* x x) (/ 1/8 (* y y))) 1) #s(hole binary64 (+ 1 (* 1/8 (/ (pow x 2) (pow y 2))))))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (+ y y)))) #s(hole binary64 1))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (+ y y)))) #s(hole binary64 (+ 1 (* 1/8 (/ (pow x 2) (pow y 2))))))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (+ y y)))) #s(hole binary64 (+ 1 (* (pow x 2) (+ (* 5/384 (/ (pow x 2) (pow y 4))) (* 1/8 (/ 1 (pow y 2))))))))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (+ y y)))) #s(hole binary64 (+ 1 (* (pow x 2) (+ (* (pow x 2) (+ (* 61/46080 (/ (pow x 2) (pow y 6))) (* 5/384 (/ 1 (pow y 4))))) (* 1/8 (/ 1 (pow y 2))))))))
#s(approx (tan (/ x (* y 2))) #s(hole binary64 (* 1/2 (/ x y))))
#s(approx (tan (/ x (* y 2))) #s(hole binary64 (* x (+ (* 1/24 (/ (pow x 2) (pow y 3))) (* 1/2 (/ 1 y))))))
#s(approx (tan (/ x (* y 2))) #s(hole binary64 (* x (+ (* (pow x 2) (+ (* 1/240 (/ (pow x 2) (pow y 5))) (* 1/24 (/ 1 (pow y 3))))) (* 1/2 (/ 1 y))))))
#s(approx (tan (/ x (* y 2))) #s(hole binary64 (* x (+ (* (pow x 2) (+ (* (pow x 2) (+ (* 17/40320 (/ (pow x 2) (pow y 7))) (* 1/240 (/ 1 (pow y 5))))) (* 1/24 (/ 1 (pow y 3))))) (* 1/2 (/ 1 y))))))
#s(approx (* (/ x y) 1/2) #s(hole binary64 (* 1/2 (/ x y))))
#s(approx (/ x y) #s(hole binary64 (/ x y)))
#s(approx (/ (tan (/ x (+ y y))) (sin (/ x (* y 2)))) #s(hole binary64 1))
#s(approx (/ (tan (/ x (+ y y))) (sin (/ x (* y 2)))) #s(hole binary64 (+ 1 (* 1/8 (/ (pow x 2) (pow y 2))))))
#s(approx (/ (tan (/ x (+ y y))) (sin (/ x (* y 2)))) #s(hole binary64 (+ 1 (* (pow x 2) (+ (* 5/384 (/ (pow x 2) (pow y 4))) (* 1/8 (/ 1 (pow y 2))))))))
#s(approx (/ (tan (/ x (+ y y))) (sin (/ x (* y 2)))) #s(hole binary64 (+ 1 (* (pow x 2) (+ (* (pow x 2) (+ (* 61/46080 (/ (pow x 2) (pow y 6))) (* 5/384 (/ 1 (pow y 4))))) (* 1/8 (/ 1 (pow y 2))))))))
#s(approx (tan (/ x (+ y y))) #s(hole binary64 (* 1/2 (/ x y))))
#s(approx (tan (/ x (+ y y))) #s(hole binary64 (* x (+ (* 1/24 (/ (pow x 2) (pow y 3))) (* 1/2 (/ 1 y))))))
#s(approx (tan (/ x (+ y y))) #s(hole binary64 (* x (+ (* (pow x 2) (+ (* 1/240 (/ (pow x 2) (pow y 5))) (* 1/24 (/ 1 (pow y 3))))) (* 1/2 (/ 1 y))))))
#s(approx (tan (/ x (+ y y))) #s(hole binary64 (* x (+ (* (pow x 2) (+ (* (pow x 2) (+ (* 17/40320 (/ (pow x 2) (pow y 7))) (* 1/240 (/ 1 (pow y 5))))) (* 1/24 (/ 1 (pow y 3))))) (* 1/2 (/ 1 y))))))
#s(approx (/ x (+ y y)) #s(hole binary64 (* 1/2 (/ x y))))
#s(approx (/ (sin (/ x y)) (* (sin (* (/ 1/2 y) x)) (+ (cos (/ x y)) 1))) #s(hole binary64 1))
#s(approx (/ (sin (/ x y)) (* (sin (* (/ 1/2 y) x)) (+ (cos (/ x y)) 1))) #s(hole binary64 (+ 1 (* 1/8 (/ (pow x 2) (pow y 2))))))
#s(approx (/ (sin (/ x y)) (* (sin (* (/ 1/2 y) x)) (+ (cos (/ x y)) 1))) #s(hole binary64 (+ 1 (* (pow x 2) (+ (* 5/384 (/ (pow x 2) (pow y 4))) (* 1/8 (/ 1 (pow y 2))))))))
#s(approx (/ (sin (/ x y)) (* (sin (* (/ 1/2 y) x)) (+ (cos (/ x y)) 1))) #s(hole binary64 (+ 1 (* (pow x 2) (+ (* (pow x 2) (+ (* 5/384 (/ 1 (pow y 4))) (* (pow x 2) (- (* 35/9216 (/ 1 (pow y 6))) (* 19/7680 (/ 1 (pow y 6))))))) (* 1/8 (/ 1 (pow y 2))))))))
#s(approx (sin (/ x y)) #s(hole binary64 (/ x y)))
#s(approx (sin (/ x y)) #s(hole binary64 (* x (+ (* -1/6 (/ (pow x 2) (pow y 3))) (/ 1 y)))))
#s(approx (sin (/ x y)) #s(hole binary64 (* x (+ (* (pow x 2) (- (* 1/120 (/ (pow x 2) (pow y 5))) (* 1/6 (/ 1 (pow y 3))))) (/ 1 y)))))
#s(approx (sin (/ x y)) #s(hole binary64 (* x (+ (* (pow x 2) (- (* (pow x 2) (+ (* -1/5040 (/ (pow x 2) (pow y 7))) (* 1/120 (/ 1 (pow y 5))))) (* 1/6 (/ 1 (pow y 3))))) (/ 1 y)))))
#s(approx (sin (/ x (+ y y))) #s(hole binary64 (* 1/2 (/ x y))))
#s(approx (sin (/ x (+ y y))) #s(hole binary64 (* x (+ (* -1/48 (/ (pow x 2) (pow y 3))) (* 1/2 (/ 1 y))))))
#s(approx (sin (/ x (+ y y))) #s(hole binary64 (* x (+ (* (pow x 2) (- (* 1/3840 (/ (pow x 2) (pow y 5))) (* 1/48 (/ 1 (pow y 3))))) (* 1/2 (/ 1 y))))))
#s(approx (sin (/ x (+ y y))) #s(hole binary64 (* x (+ (* (pow x 2) (- (* (pow x 2) (+ (* -1/645120 (/ (pow x 2) (pow y 7))) (* 1/3840 (/ 1 (pow y 5))))) (* 1/48 (/ 1 (pow y 3))))) (* 1/2 (/ 1 y))))))
#s(approx (sin (* (/ 1/2 y) x)) #s(hole binary64 (* 1/2 (/ x y))))
#s(approx (sin (* (/ 1/2 y) x)) #s(hole binary64 (* x (+ (* -1/48 (/ (pow x 2) (pow y 3))) (* 1/2 (/ 1 y))))))
#s(approx (sin (* (/ 1/2 y) x)) #s(hole binary64 (* x (+ (* (pow x 2) (- (* 1/3840 (/ (pow x 2) (pow y 5))) (* 1/48 (/ 1 (pow y 3))))) (* 1/2 (/ 1 y))))))
#s(approx (sin (* (/ 1/2 y) x)) #s(hole binary64 (* x (+ (* (pow x 2) (- (* (pow x 2) (+ (* -1/645120 (/ (pow x 2) (pow y 7))) (* 1/3840 (/ 1 (pow y 5))))) (* 1/48 (/ 1 (pow y 3))))) (* 1/2 (/ 1 y))))))
#s(approx (* (/ 1/2 y) x) #s(hole binary64 (* 1/2 (/ x y))))
#s(approx (cos (/ x y)) #s(hole binary64 1))
#s(approx (cos (/ x y)) #s(hole binary64 (+ 1 (* -1/2 (/ (pow x 2) (pow y 2))))))
#s(approx (cos (/ x y)) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 1/24 (/ (pow x 2) (pow y 4))) (* 1/2 (/ 1 (pow y 2))))))))
#s(approx (cos (/ x y)) #s(hole binary64 (+ 1 (* (pow x 2) (- (* (pow x 2) (+ (* -1/720 (/ (pow x 2) (pow y 6))) (* 1/24 (/ 1 (pow y 4))))) (* 1/2 (/ 1 (pow y 2))))))))
#s(approx (sin (+ (* (/ x y) -1/2) (/ (PI) 2))) #s(hole binary64 (sin (- (* 1/2 (PI)) (* 1/2 (/ x y))))))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(hole binary64 (/ 1 (cos (* 1/2 (/ x y))))))
#s(approx (/ 1 (sin (+ (* (/ x y) -1/2) (/ (PI) 2)))) #s(hole binary64 (/ 1 (sin (- (* 1/2 (PI)) (* 1/2 (/ x y)))))))
#s(approx (+ (* (/ x y) -1/2) (/ (PI) 2)) #s(hole binary64 (* -1/2 (/ x y))))
#s(approx (+ (* (/ x y) -1/2) (/ (PI) 2)) #s(hole binary64 (* x (- (* 1/2 (/ (PI) x)) (* 1/2 (/ 1 y))))))
#s(approx (+ (* (* x x) (/ 1/8 (* y y))) 1) #s(hole binary64 (* 1/8 (/ (pow x 2) (pow y 2)))))
#s(approx (+ (* (* x x) (/ 1/8 (* y y))) 1) #s(hole binary64 (* (pow x 2) (+ (/ 1 (pow x 2)) (* 1/8 (/ 1 (pow y 2)))))))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (+ y y)))) #s(hole binary64 (/ 1 (cos (* 1/2 (/ x y))))))
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#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (+ y y)))) #s(hole binary64 (- (+ 1 (+ (* -2 (/ (- (* -1/3840 (pow x 5)) (+ (* -1/8 (* (pow x 2) (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3))))) (* -1/768 (pow x 5)))) (* x (pow y 4)))) (* -2 (/ (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3))) (* x (pow y 2)))))) (+ (* -1/24 (/ (* (pow x 2) (- (* -2 (/ (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3))) x)) (* -1/24 (pow x 2)))) (pow y 4))) (+ (* -1/24 (/ (pow x 2) (pow y 2))) (* 1/1920 (/ (pow x 4) (pow y 4))))))))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (+ y y)))) #s(hole binary64 (- (+ 1 (+ (* -2 (/ (- (* -1/3840 (pow x 5)) (+ (* -1/8 (* (pow x 2) (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3))))) (* -1/768 (pow x 5)))) (* x (pow y 4)))) (+ (* -2 (/ (- (* 1/645120 (pow x 7)) (+ (* -1/8 (* (pow x 2) (- (* -1/3840 (pow x 5)) (+ (* -1/8 (* (pow x 2) (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3))))) (* -1/768 (pow x 5)))))) (+ (* 1/92160 (pow x 7)) (* 1/384 (* (pow x 4) (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3)))))))) (* x (pow y 6)))) (* -2 (/ (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3))) (* x (pow y 2))))))) (+ (* -1/24 (/ (* (pow x 2) (- (* -2 (/ (- (* -1/3840 (pow x 5)) (+ (* -1/8 (* (pow x 2) (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3))))) (* -1/768 (pow x 5)))) x)) (+ (* -1/24 (* (pow x 2) (- (* -2 (/ (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3))) x)) (* -1/24 (pow x 2))))) (* 1/1920 (pow x 4))))) (pow y 6))) (+ (* -1/24 (/ (* (pow x 2) (- (* -2 (/ (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3))) x)) (* -1/24 (pow x 2)))) (pow y 4))) (+ (* -1/24 (/ (pow x 2) (pow y 2))) (+ (* -1/322560 (/ (pow x 6) (pow y 6))) (+ (* 1/1920 (/ (* (pow x 4) (- (* -2 (/ (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3))) x)) (* -1/24 (pow x 2)))) (pow y 6))) (* 1/1920 (/ (pow x 4) (pow y 4)))))))))))
#s(approx (tan (/ x (* y 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 (/ (tan (/ x (+ y y))) (sin (/ x (* y 2)))) #s(hole binary64 (- (+ 1 (* -2 (/ (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3))) (* x (pow y 2))))) (* -1/24 (/ (pow x 2) (pow y 2))))))
#s(approx (/ (tan (/ x (+ y y))) (sin (/ x (* y 2)))) #s(hole binary64 (- (+ 1 (+ (* -2 (/ (- (* -1/3840 (pow x 5)) (+ (* -1/8 (* (pow x 2) (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3))))) (* -1/768 (pow x 5)))) (* x (pow y 4)))) (* -2 (/ (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3))) (* x (pow y 2)))))) (+ (* -1/24 (/ (* (pow x 2) (- (* -2 (/ (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3))) x)) (* -1/24 (pow x 2)))) (pow y 4))) (+ (* -1/24 (/ (pow x 2) (pow y 2))) (* 1/1920 (/ (pow x 4) (pow y 4))))))))
#s(approx (/ (tan (/ x (+ y y))) (sin (/ x (* y 2)))) #s(hole binary64 (- (+ 1 (+ (* -2 (/ (- (* -1/3840 (pow x 5)) (+ (* -1/8 (* (pow x 2) (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3))))) (* -1/768 (pow x 5)))) (* x (pow y 4)))) (+ (* -2 (/ (- (* 1/645120 (pow x 7)) (+ (* -1/8 (* (pow x 2) (- (* -1/3840 (pow x 5)) (+ (* -1/8 (* (pow x 2) (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3))))) (* -1/768 (pow x 5)))))) (+ (* 1/92160 (pow x 7)) (* 1/384 (* (pow x 4) (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3)))))))) (* x (pow y 6)))) (* -2 (/ (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3))) (* x (pow y 2))))))) (+ (* -1/24 (/ (* (pow x 2) (- (* -2 (/ (- (* -1/3840 (pow x 5)) (+ (* -1/8 (* (pow x 2) (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3))))) (* -1/768 (pow x 5)))) x)) (+ (* -1/24 (* (pow x 2) (- (* -2 (/ (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3))) x)) (* -1/24 (pow x 2))))) (* 1/1920 (pow x 4))))) (pow y 6))) (+ (* -1/24 (/ (* (pow x 2) (- (* -2 (/ (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3))) x)) (* -1/24 (pow x 2)))) (pow y 4))) (+ (* -1/24 (/ (pow x 2) (pow y 2))) (+ (* -1/322560 (/ (pow x 6) (pow y 6))) (+ (* 1/1920 (/ (* (pow x 4) (- (* -2 (/ (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3))) x)) (* -1/24 (pow x 2)))) (pow y 6))) (* 1/1920 (/ (pow x 4) (pow y 4)))))))))))
#s(approx (tan (/ x (+ y y))) #s(hole binary64 (* -1 (/ (- (+ (* -1/2 x) (* 1/48 (/ (pow x 3) (pow y 2)))) (* 1/16 (/ (pow x 3) (pow y 2)))) y))))
#s(approx (tan (/ x (+ y y))) #s(hole binary64 (* -1 (/ (- (+ (* -1/2 x) (+ (* -1/3840 (/ (pow x 5) (pow y 4))) (* 1/48 (/ (pow x 3) (pow y 2))))) (+ (* -1/8 (/ (* (pow x 2) (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3)))) (pow y 4))) (+ (* -1/768 (/ (pow x 5) (pow y 4))) (* 1/16 (/ (pow x 3) (pow y 2)))))) y))))
#s(approx (tan (/ x (+ y y))) #s(hole binary64 (* -1 (/ (- (+ (* -1/2 x) (+ (* -1/3840 (/ (pow x 5) (pow y 4))) (+ (* 1/645120 (/ (pow x 7) (pow y 6))) (* 1/48 (/ (pow x 3) (pow y 2)))))) (+ (* -1/8 (/ (* (pow x 2) (- (* -1/3840 (pow x 5)) (+ (* -1/8 (* (pow x 2) (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3))))) (* -1/768 (pow x 5))))) (pow y 6))) (+ (* -1/8 (/ (* (pow x 2) (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3)))) (pow y 4))) (+ (* -1/768 (/ (pow x 5) (pow y 4))) (+ (* 1/92160 (/ (pow x 7) (pow y 6))) (+ (* 1/384 (/ (* (pow x 4) (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3)))) (pow y 6))) (* 1/16 (/ (pow x 3) (pow y 2))))))))) y))))
#s(approx (/ (sin (/ x y)) (* (sin (* (/ 1/2 y) x)) (+ (cos (/ x y)) 1))) #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)) (* (sin (* (/ 1/2 y) x)) (+ (cos (/ x y)) 1))) #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)) (* (sin (* (/ 1/2 y) x)) (+ (cos (/ x y)) 1))) #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 (sin (/ x (+ y y))) #s(hole binary64 (* -1 (/ (+ (* -1/2 x) (* 1/48 (/ (pow x 3) (pow y 2)))) y))))
#s(approx (sin (/ x (+ y y))) #s(hole binary64 (* -1 (/ (+ (* -1/2 x) (+ (* -1/3840 (/ (pow x 5) (pow y 4))) (* 1/48 (/ (pow x 3) (pow y 2))))) y))))
#s(approx (sin (/ x (+ y y))) #s(hole binary64 (* -1 (/ (+ (* -1/2 x) (+ (* -1/3840 (/ (pow x 5) (pow y 4))) (+ (* 1/645120 (/ (pow x 7) (pow y 6))) (* 1/48 (/ (pow x 3) (pow y 2)))))) y))))
#s(approx (sin (* (/ 1/2 y) x)) #s(hole binary64 (* -1 (/ (+ (* -1/2 x) (* 1/48 (/ (pow x 3) (pow y 2)))) y))))
#s(approx (sin (* (/ 1/2 y) x)) #s(hole binary64 (* -1 (/ (+ (* -1/2 x) (+ (* -1/3840 (/ (pow x 5) (pow y 4))) (* 1/48 (/ (pow x 3) (pow y 2))))) y))))
#s(approx (sin (* (/ 1/2 y) x)) #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
12.0ms	y	@	0	((sin (+ (* (/ x y) -1/2) (/ (PI) 2))) (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/ 1 (sin (+ (* (/ x y) -1/2) (/ (PI) 2)))) (+ (* (/ x y) -1/2) (/ (PI) 2)) (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (+ (* (* x x) (/ 1/8 (* y y))) 1) (* x x) (/ 1/8 (* y y)) (/ (tan (/ x (* y 2))) (sin (/ x (+ y y)))) (tan (/ x (* y 2))) (* (/ x y) 1/2) (/ x y) (/ (tan (/ x (+ y y))) (sin (/ x (* y 2)))) (tan (/ x (+ y y))) (/ x (+ y y)) (+ y y) (/ (sin (/ x y)) (* (sin (* (/ 1/2 y) x)) (+ (cos (/ x y)) 1))) (/ (tan (/ x (+ y y))) (sin (/ x (* y 2)))) (sin (/ x y)) (sin (/ x (+ y y))) (sin (* (/ 1/2 y) x)) (* (/ 1/2 y) x) (cos (/ x y)))
5.0ms	y	@	inf	((sin (+ (* (/ x y) -1/2) (/ (PI) 2))) (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/ 1 (sin (+ (* (/ x y) -1/2) (/ (PI) 2)))) (+ (* (/ x y) -1/2) (/ (PI) 2)) (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (+ (* (* x x) (/ 1/8 (* y y))) 1) (* x x) (/ 1/8 (* y y)) (/ (tan (/ x (* y 2))) (sin (/ x (+ y y)))) (tan (/ x (* y 2))) (* (/ x y) 1/2) (/ x y) (/ (tan (/ x (+ y y))) (sin (/ x (* y 2)))) (tan (/ x (+ y y))) (/ x (+ y y)) (+ y y) (/ (sin (/ x y)) (* (sin (* (/ 1/2 y) x)) (+ (cos (/ x y)) 1))) (/ (tan (/ x (+ y y))) (sin (/ x (* y 2)))) (sin (/ x y)) (sin (/ x (+ y y))) (sin (* (/ 1/2 y) x)) (* (/ 1/2 y) x) (cos (/ x y)))
4.0ms	y	@	-inf	((sin (+ (* (/ x y) -1/2) (/ (PI) 2))) (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/ 1 (sin (+ (* (/ x y) -1/2) (/ (PI) 2)))) (+ (* (/ x y) -1/2) (/ (PI) 2)) (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (+ (* (* x x) (/ 1/8 (* y y))) 1) (* x x) (/ 1/8 (* y y)) (/ (tan (/ x (* y 2))) (sin (/ x (+ y y)))) (tan (/ x (* y 2))) (* (/ x y) 1/2) (/ x y) (/ (tan (/ x (+ y y))) (sin (/ x (* y 2)))) (tan (/ x (+ y y))) (/ x (+ y y)) (+ y y) (/ (sin (/ x y)) (* (sin (* (/ 1/2 y) x)) (+ (cos (/ x y)) 1))) (/ (tan (/ x (+ y y))) (sin (/ x (* y 2)))) (sin (/ x y)) (sin (/ x (+ y y))) (sin (* (/ 1/2 y) x)) (* (/ 1/2 y) x) (cos (/ x y)))
3.0ms	x	@	0	((sin (+ (* (/ x y) -1/2) (/ (PI) 2))) (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/ 1 (sin (+ (* (/ x y) -1/2) (/ (PI) 2)))) (+ (* (/ x y) -1/2) (/ (PI) 2)) (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (+ (* (* x x) (/ 1/8 (* y y))) 1) (* x x) (/ 1/8 (* y y)) (/ (tan (/ x (* y 2))) (sin (/ x (+ y y)))) (tan (/ x (* y 2))) (* (/ x y) 1/2) (/ x y) (/ (tan (/ x (+ y y))) (sin (/ x (* y 2)))) (tan (/ x (+ y y))) (/ x (+ y y)) (+ y y) (/ (sin (/ x y)) (* (sin (* (/ 1/2 y) x)) (+ (cos (/ x y)) 1))) (/ (tan (/ x (+ y y))) (sin (/ x (* y 2)))) (sin (/ x y)) (sin (/ x (+ y y))) (sin (* (/ 1/2 y) x)) (* (/ 1/2 y) x) (cos (/ x y)))
3.0ms	x	@	-inf	((sin (+ (* (/ x y) -1/2) (/ (PI) 2))) (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/ 1 (sin (+ (* (/ x y) -1/2) (/ (PI) 2)))) (+ (* (/ x y) -1/2) (/ (PI) 2)) (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (+ (* (* x x) (/ 1/8 (* y y))) 1) (* x x) (/ 1/8 (* y y)) (/ (tan (/ x (* y 2))) (sin (/ x (+ y y)))) (tan (/ x (* y 2))) (* (/ x y) 1/2) (/ x y) (/ (tan (/ x (+ y y))) (sin (/ x (* y 2)))) (tan (/ x (+ y y))) (/ x (+ y y)) (+ y y) (/ (sin (/ x y)) (* (sin (* (/ 1/2 y) x)) (+ (cos (/ x y)) 1))) (/ (tan (/ x (+ y y))) (sin (/ x (* y 2)))) (sin (/ x y)) (sin (/ x (+ y y))) (sin (* (/ 1/2 y) x)) (* (/ 1/2 y) x) (cos (/ x y)))

simplify202.0ms (3.2%)

Memory

0.7MiB live, 275.7MiB allocated; 77ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	874	7403
1	2593	7146
0	8226	6802

Stop Event

1×	iter limit
1×	node limit

Counts

144 → 144

Calls

Call 1

Inputs
#s(approx (sin (+ (* (/ x y) -1/2) (/ (PI) 2))) #s(hole binary64 (sin (* 1/2 (PI)))))
#s(approx (sin (+ (* (/ x y) -1/2) (/ (PI) 2))) #s(hole binary64 (+ (sin (* 1/2 (PI))) (* -1/2 (/ (* x (cos (* 1/2 (PI)))) y)))))
#s(approx (sin (+ (* (/ x y) -1/2) (/ (PI) 2))) #s(hole binary64 (+ (sin (* 1/2 (PI))) (* x (+ (* -1/2 (/ (cos (* 1/2 (PI))) y)) (* -1/8 (/ (* x (sin (* 1/2 (PI)))) (pow y 2))))))))
#s(approx (sin (+ (* (/ x y) -1/2) (/ (PI) 2))) #s(hole binary64 (+ (sin (* 1/2 (PI))) (* x (+ (* -1/2 (/ (cos (* 1/2 (PI))) y)) (* x (+ (* -1/8 (/ (sin (* 1/2 (PI))) (pow y 2))) (* 1/48 (/ (* x (cos (* 1/2 (PI)))) (pow y 3))))))))))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(hole binary64 1))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(hole binary64 (+ 1 (* 1/8 (/ (pow x 2) (pow y 2))))))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(hole binary64 (+ 1 (* (pow x 2) (+ (* 5/384 (/ (pow x 2) (pow y 4))) (* 1/8 (/ 1 (pow y 2))))))))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(hole binary64 (+ 1 (* (pow x 2) (+ (* (pow x 2) (+ (* 61/46080 (/ (pow x 2) (pow y 6))) (* 5/384 (/ 1 (pow y 4))))) (* 1/8 (/ 1 (pow y 2))))))))
#s(approx (/ 1 (sin (+ (* (/ x y) -1/2) (/ (PI) 2)))) #s(hole binary64 (/ 1 (sin (* 1/2 (PI))))))
#s(approx (/ 1 (sin (+ (* (/ x y) -1/2) (/ (PI) 2)))) #s(hole binary64 (+ (* 1/2 (/ (* x (cos (* 1/2 (PI)))) (* y (pow (sin (* 1/2 (PI))) 2)))) (/ 1 (sin (* 1/2 (PI)))))))
#s(approx (/ 1 (sin (+ (* (/ x y) -1/2) (/ (PI) 2)))) #s(hole binary64 (+ (* x (- (* x (- (* 1/8 (/ 1 (* (pow y 2) (sin (* 1/2 (PI)))))) (* -1/4 (/ (pow (cos (* 1/2 (PI))) 2) (* (pow y 2) (pow (sin (* 1/2 (PI))) 3)))))) (* -1/2 (/ (cos (* 1/2 (PI))) (* y (pow (sin (* 1/2 (PI))) 2)))))) (/ 1 (sin (* 1/2 (PI)))))))
#s(approx (/ 1 (sin (+ (* (/ x y) -1/2) (/ (PI) 2)))) #s(hole binary64 (+ (* x (- (* x (- (+ (* -1 (* x (+ (* -1/2 (/ (* (cos (* 1/2 (PI))) (- (* 1/8 (/ 1 (* (pow y 2) (sin (* 1/2 (PI)))))) (* -1/4 (/ (pow (cos (* 1/2 (PI))) 2) (* (pow y 2) (pow (sin (* 1/2 (PI))) 3)))))) (* y (sin (* 1/2 (PI)))))) (+ (* -1/16 (/ (cos (* 1/2 (PI))) (* (pow y 3) (pow (sin (* 1/2 (PI))) 2)))) (* 1/48 (/ (cos (* 1/2 (PI))) (* (pow y 3) (pow (sin (* 1/2 (PI))) 2)))))))) (* 1/8 (/ 1 (* (pow y 2) (sin (* 1/2 (PI))))))) (* -1/4 (/ (pow (cos (* 1/2 (PI))) 2) (* (pow y 2) (pow (sin (* 1/2 (PI))) 3)))))) (* -1/2 (/ (cos (* 1/2 (PI))) (* y (pow (sin (* 1/2 (PI))) 2)))))) (/ 1 (sin (* 1/2 (PI)))))))
#s(approx (+ (* (/ x y) -1/2) (/ (PI) 2)) #s(hole binary64 (* 1/2 (PI))))
#s(approx (+ (* (/ x y) -1/2) (/ (PI) 2)) #s(hole binary64 (+ (* -1/2 (/ x y)) (* 1/2 (PI)))))
#s(approx (+ (* (* x x) (/ 1/8 (* y y))) 1) #s(hole binary64 1))
#s(approx (+ (* (* x x) (/ 1/8 (* y y))) 1) #s(hole binary64 (+ 1 (* 1/8 (/ (pow x 2) (pow y 2))))))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (+ y y)))) #s(hole binary64 1))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (+ y y)))) #s(hole binary64 (+ 1 (* 1/8 (/ (pow x 2) (pow y 2))))))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (+ y y)))) #s(hole binary64 (+ 1 (* (pow x 2) (+ (* 5/384 (/ (pow x 2) (pow y 4))) (* 1/8 (/ 1 (pow y 2))))))))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (+ y y)))) #s(hole binary64 (+ 1 (* (pow x 2) (+ (* (pow x 2) (+ (* 61/46080 (/ (pow x 2) (pow y 6))) (* 5/384 (/ 1 (pow y 4))))) (* 1/8 (/ 1 (pow y 2))))))))
#s(approx (tan (/ x (* y 2))) #s(hole binary64 (* 1/2 (/ x y))))
#s(approx (tan (/ x (* y 2))) #s(hole binary64 (* x (+ (* 1/24 (/ (pow x 2) (pow y 3))) (* 1/2 (/ 1 y))))))
#s(approx (tan (/ x (* y 2))) #s(hole binary64 (* x (+ (* (pow x 2) (+ (* 1/240 (/ (pow x 2) (pow y 5))) (* 1/24 (/ 1 (pow y 3))))) (* 1/2 (/ 1 y))))))
#s(approx (tan (/ x (* y 2))) #s(hole binary64 (* x (+ (* (pow x 2) (+ (* (pow x 2) (+ (* 17/40320 (/ (pow x 2) (pow y 7))) (* 1/240 (/ 1 (pow y 5))))) (* 1/24 (/ 1 (pow y 3))))) (* 1/2 (/ 1 y))))))
#s(approx (* (/ x y) 1/2) #s(hole binary64 (* 1/2 (/ x y))))
#s(approx (/ x y) #s(hole binary64 (/ x y)))
#s(approx (/ (tan (/ x (+ y y))) (sin (/ x (* y 2)))) #s(hole binary64 1))
#s(approx (/ (tan (/ x (+ y y))) (sin (/ x (* y 2)))) #s(hole binary64 (+ 1 (* 1/8 (/ (pow x 2) (pow y 2))))))
#s(approx (/ (tan (/ x (+ y y))) (sin (/ x (* y 2)))) #s(hole binary64 (+ 1 (* (pow x 2) (+ (* 5/384 (/ (pow x 2) (pow y 4))) (* 1/8 (/ 1 (pow y 2))))))))
#s(approx (/ (tan (/ x (+ y y))) (sin (/ x (* y 2)))) #s(hole binary64 (+ 1 (* (pow x 2) (+ (* (pow x 2) (+ (* 61/46080 (/ (pow x 2) (pow y 6))) (* 5/384 (/ 1 (pow y 4))))) (* 1/8 (/ 1 (pow y 2))))))))
#s(approx (tan (/ x (+ y y))) #s(hole binary64 (* 1/2 (/ x y))))
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#s(approx (sin (+ (* (/ 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 (+ (* (/ x y) -1/2) (/ (PI) 2))) #s(hole binary64 (+ (sin (* 1/2 (PI))) (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (* (pow x 2) (sin (* 1/2 (PI))))) (* 1/48 (/ (* (pow x 3) (cos (* 1/2 (PI)))) y))) y)) (* 1/2 (* x (cos (* 1/2 (PI)))))) y)))))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(hole binary64 (- (+ 1 (* -2 (/ (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3))) (* x (pow y 2))))) (* -1/24 (/ (pow x 2) (pow y 2))))))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(hole binary64 (- (+ 1 (+ (* -2 (/ (- (* -1/3840 (pow x 5)) (+ (* -1/8 (* (pow x 2) (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3))))) (* -1/768 (pow x 5)))) (* x (pow y 4)))) (* -2 (/ (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3))) (* x (pow y 2)))))) (+ (* -1/24 (/ (* (pow x 2) (- (* -2 (/ (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3))) x)) (* -1/24 (pow x 2)))) (pow y 4))) (+ (* -1/24 (/ (pow x 2) (pow y 2))) (* 1/1920 (/ (pow x 4) (pow y 4))))))))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(hole binary64 (- (+ 1 (+ (* -2 (/ (- (* -1/3840 (pow x 5)) (+ (* -1/8 (* (pow x 2) (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3))))) (* -1/768 (pow x 5)))) (* x (pow y 4)))) (+ (* -2 (/ (- (* 1/645120 (pow x 7)) (+ (* -1/8 (* (pow x 2) (- (* -1/3840 (pow x 5)) (+ (* -1/8 (* (pow x 2) (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3))))) (* -1/768 (pow x 5)))))) (+ (* 1/92160 (pow x 7)) (* 1/384 (* (pow x 4) (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3)))))))) (* x (pow y 6)))) (* -2 (/ (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3))) (* x (pow y 2))))))) (+ (* -1/24 (/ (* (pow x 2) (- (* -2 (/ (- (* -1/3840 (pow x 5)) (+ (* -1/8 (* (pow x 2) (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3))))) (* -1/768 (pow x 5)))) x)) (+ (* -1/24 (* (pow x 2) (- (* -2 (/ (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3))) x)) (* -1/24 (pow x 2))))) (* 1/1920 (pow x 4))))) (pow y 6))) (+ (* -1/24 (/ (* (pow x 2) (- (* -2 (/ (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3))) x)) (* -1/24 (pow x 2)))) (pow y 4))) (+ (* -1/24 (/ (pow x 2) (pow y 2))) (+ (* -1/322560 (/ (pow x 6) (pow y 6))) (+ (* 1/1920 (/ (* (pow x 4) (- (* -2 (/ (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3))) x)) (* -1/24 (pow x 2)))) (pow y 6))) (* 1/1920 (/ (pow x 4) (pow y 4)))))))))))
#s(approx (/ 1 (sin (+ (* (/ x y) -1/2) (/ (PI) 2)))) #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 (/ 1 (sin (+ (* (/ x y) -1/2) (/ (PI) 2)))) #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 (/ (tan (/ x (* y 2))) (sin (/ x (+ y y)))) #s(hole binary64 (- (+ 1 (* -2 (/ (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3))) (* x (pow y 2))))) (* -1/24 (/ (pow x 2) (pow y 2))))))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (+ y y)))) #s(hole binary64 (- (+ 1 (+ (* -2 (/ (- (* -1/3840 (pow x 5)) (+ (* -1/8 (* (pow x 2) (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3))))) (* -1/768 (pow x 5)))) (* x (pow y 4)))) (* -2 (/ (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3))) (* x (pow y 2)))))) (+ (* -1/24 (/ (* (pow x 2) (- (* -2 (/ (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3))) x)) (* -1/24 (pow x 2)))) (pow y 4))) (+ (* -1/24 (/ (pow x 2) (pow y 2))) (* 1/1920 (/ (pow x 4) (pow y 4))))))))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (+ y y)))) #s(hole binary64 (- (+ 1 (+ (* -2 (/ (- (* -1/3840 (pow x 5)) (+ (* -1/8 (* (pow x 2) (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3))))) (* -1/768 (pow x 5)))) (* x (pow y 4)))) (+ (* -2 (/ (- (* 1/645120 (pow x 7)) (+ (* -1/8 (* (pow x 2) (- (* -1/3840 (pow x 5)) (+ (* -1/8 (* (pow x 2) (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3))))) (* -1/768 (pow x 5)))))) (+ (* 1/92160 (pow x 7)) (* 1/384 (* (pow x 4) (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3)))))))) (* x (pow y 6)))) (* -2 (/ (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3))) (* x (pow y 2))))))) (+ (* -1/24 (/ (* (pow x 2) (- (* -2 (/ (- (* -1/3840 (pow x 5)) (+ (* -1/8 (* (pow x 2) (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3))))) (* -1/768 (pow x 5)))) x)) (+ (* -1/24 (* (pow x 2) (- (* -2 (/ (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3))) x)) (* -1/24 (pow x 2))))) (* 1/1920 (pow x 4))))) (pow y 6))) (+ (* -1/24 (/ (* (pow x 2) (- (* -2 (/ (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3))) x)) (* -1/24 (pow x 2)))) (pow y 4))) (+ (* -1/24 (/ (pow x 2) (pow y 2))) (+ (* -1/322560 (/ (pow x 6) (pow y 6))) (+ (* 1/1920 (/ (* (pow x 4) (- (* -2 (/ (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3))) x)) (* -1/24 (pow x 2)))) (pow y 6))) (* 1/1920 (/ (pow x 4) (pow y 4)))))))))))
#s(approx (tan (/ x (* y 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 (/ (tan (/ x (+ y y))) (sin (/ x (* y 2)))) #s(hole binary64 (- (+ 1 (* -2 (/ (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3))) (* x (pow y 2))))) (* -1/24 (/ (pow x 2) (pow y 2))))))
#s(approx (/ (tan (/ x (+ y y))) (sin (/ x (* y 2)))) #s(hole binary64 (- (+ 1 (+ (* -2 (/ (- (* -1/3840 (pow x 5)) (+ (* -1/8 (* (pow x 2) (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3))))) (* -1/768 (pow x 5)))) (* x (pow y 4)))) (* -2 (/ (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3))) (* x (pow y 2)))))) (+ (* -1/24 (/ (* (pow x 2) (- (* -2 (/ (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3))) x)) (* -1/24 (pow x 2)))) (pow y 4))) (+ (* -1/24 (/ (pow x 2) (pow y 2))) (* 1/1920 (/ (pow x 4) (pow y 4))))))))
#s(approx (/ (tan (/ x (+ y y))) (sin (/ x (* y 2)))) #s(hole binary64 (- (+ 1 (+ (* -2 (/ (- (* -1/3840 (pow x 5)) (+ (* -1/8 (* (pow x 2) (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3))))) (* -1/768 (pow x 5)))) (* x (pow y 4)))) (+ (* -2 (/ (- (* 1/645120 (pow x 7)) (+ (* -1/8 (* (pow x 2) (- (* -1/3840 (pow x 5)) (+ (* -1/8 (* (pow x 2) (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3))))) (* -1/768 (pow x 5)))))) (+ (* 1/92160 (pow x 7)) (* 1/384 (* (pow x 4) (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3)))))))) (* x (pow y 6)))) (* -2 (/ (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3))) (* x (pow y 2))))))) (+ (* -1/24 (/ (* (pow x 2) (- (* -2 (/ (- (* -1/3840 (pow x 5)) (+ (* -1/8 (* (pow x 2) (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3))))) (* -1/768 (pow x 5)))) x)) (+ (* -1/24 (* (pow x 2) (- (* -2 (/ (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3))) x)) (* -1/24 (pow x 2))))) (* 1/1920 (pow x 4))))) (pow y 6))) (+ (* -1/24 (/ (* (pow x 2) (- (* -2 (/ (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3))) x)) (* -1/24 (pow x 2)))) (pow y 4))) (+ (* -1/24 (/ (pow x 2) (pow y 2))) (+ (* -1/322560 (/ (pow x 6) (pow y 6))) (+ (* 1/1920 (/ (* (pow x 4) (- (* -2 (/ (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3))) x)) (* -1/24 (pow x 2)))) (pow y 6))) (* 1/1920 (/ (pow x 4) (pow y 4)))))))))))
#s(approx (tan (/ x (+ y y))) #s(hole binary64 (* -1 (/ (- (+ (* -1/2 x) (* 1/48 (/ (pow x 3) (pow y 2)))) (* 1/16 (/ (pow x 3) (pow y 2)))) y))))
#s(approx (tan (/ x (+ y y))) #s(hole binary64 (* -1 (/ (- (+ (* -1/2 x) (+ (* -1/3840 (/ (pow x 5) (pow y 4))) (* 1/48 (/ (pow x 3) (pow y 2))))) (+ (* -1/8 (/ (* (pow x 2) (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3)))) (pow y 4))) (+ (* -1/768 (/ (pow x 5) (pow y 4))) (* 1/16 (/ (pow x 3) (pow y 2)))))) y))))
#s(approx (tan (/ x (+ y y))) #s(hole binary64 (* -1 (/ (- (+ (* -1/2 x) (+ (* -1/3840 (/ (pow x 5) (pow y 4))) (+ (* 1/645120 (/ (pow x 7) (pow y 6))) (* 1/48 (/ (pow x 3) (pow y 2)))))) (+ (* -1/8 (/ (* (pow x 2) (- (* -1/3840 (pow x 5)) (+ (* -1/8 (* (pow x 2) (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3))))) (* -1/768 (pow x 5))))) (pow y 6))) (+ (* -1/8 (/ (* (pow x 2) (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3)))) (pow y 4))) (+ (* -1/768 (/ (pow x 5) (pow y 4))) (+ (* 1/92160 (/ (pow x 7) (pow y 6))) (+ (* 1/384 (/ (* (pow x 4) (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3)))) (pow y 6))) (* 1/16 (/ (pow x 3) (pow y 2))))))))) y))))
#s(approx (/ (sin (/ x y)) (* (sin (* (/ 1/2 y) x)) (+ (cos (/ x y)) 1))) #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)) (* (sin (* (/ 1/2 y) x)) (+ (cos (/ x y)) 1))) #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) (+ (* -1/120 (/ (pow x 5) (pow y 4))) (* 1/6 (/ (pow x 3) (pow y 2))))) y))))
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#s(approx (sin (/ x (+ y y))) #s(hole binary64 (* -1 (/ (+ (* -1/2 x) (* 1/48 (/ (pow x 3) (pow y 2)))) y))))
#s(approx (sin (/ x (+ y y))) #s(hole binary64 (* -1 (/ (+ (* -1/2 x) (+ (* -1/3840 (/ (pow x 5) (pow y 4))) (* 1/48 (/ (pow x 3) (pow y 2))))) y))))
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#s(approx (sin (* (/ 1/2 y) x)) #s(hole binary64 (* -1 (/ (+ (* -1/2 x) (* 1/48 (/ (pow x 3) (pow y 2)))) y))))
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Outputs
#s(approx (sin (+ (* (/ x y) -1/2) (/ (PI) 2))) #s(hole binary64 (sin (* 1/2 (PI)))))
#s(approx (sin (+ (* (/ x y) -1/2) (/ (PI) 2))) (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))))
#s(approx (sin (+ (* (/ x y) -1/2) (/ (PI) 2))) #s(hole binary64 (+ (sin (* 1/2 (PI))) (* -1/2 (/ (* x (cos (* 1/2 (PI)))) y)))))
#s(approx (sin (+ (* (/ x y) -1/2) (/ (PI) 2))) (fma.f64 (.f64 x (/.f64 (cos.f64 (.f64 (PI.f64) #s(literal -1/2 binary64))) y)) #s(literal -1/2 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)))))
#s(approx (sin (+ (* (/ x y) -1/2) (/ (PI) 2))) #s(hole binary64 (+ (sin (* 1/2 (PI))) (* x (+ (* -1/2 (/ (cos (* 1/2 (PI))) y)) (* -1/8 (/ (* x (sin (* 1/2 (PI)))) (pow y 2))))))))
#s(approx (sin (+ (* (/ x y) -1/2) (/ (PI) 2))) (fma.f64 (fma.f64 (.f64 x (/.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) (PI.f64))) (.f64 y y))) #s(literal -1/8 binary64) (.f64 (/.f64 (cos.f64 (.f64 (PI.f64) #s(literal -1/2 binary64))) y) #s(literal -1/2 binary64))) x (sin.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)))))
#s(approx (sin (+ (* (/ x y) -1/2) (/ (PI) 2))) #s(hole binary64 (+ (sin (* 1/2 (PI))) (* x (+ (* -1/2 (/ (cos (* 1/2 (PI))) y)) (* x (+ (* -1/8 (/ (sin (* 1/2 (PI))) (pow y 2))) (* 1/48 (/ (* x (cos (* 1/2 (PI)))) (pow y 3))))))))))
#s(approx (sin (+ (* (/ x y) -1/2) (/ (PI) 2))) (fma.f64 (fma.f64 (fma.f64 (/.f64 #s(literal -1/8 binary64) y) (/.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) (PI.f64))) y) (.f64 (.f64 x (/.f64 (cos.f64 (.f64 (PI.f64) #s(literal -1/2 binary64))) (pow.f64 y #s(literal 3 binary64)))) #s(literal 1/48 binary64))) x (.f64 (/.f64 (cos.f64 (.f64 (PI.f64) #s(literal -1/2 binary64))) y) #s(literal -1/2 binary64))) x (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)))))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(hole binary64 1))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (+ y y)))) #s(literal 1 binary64))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(hole binary64 (+ 1 (* 1/8 (/ (pow x 2) (pow y 2))))))
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#s(approx (tan (/ x (+ y y))) #s(hole binary64 (* -1 (/ (- (+ (* -1/2 x) (+ (* -1/3840 (/ (pow x 5) (pow y 4))) (* 1/48 (/ (pow x 3) (pow y 2))))) (+ (* -1/8 (/ (* (pow x 2) (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3)))) (pow y 4))) (+ (* -1/768 (/ (pow x 5) (pow y 4))) (* 1/16 (/ (pow x 3) (pow y 2)))))) y))))
#s(approx (tan (/ x (+ y y))) (/.f64 (-.f64 (fma.f64 (/.f64 #s(literal 1/48 binary64) y) (/.f64 (pow.f64 x #s(literal 3 binary64)) y) (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 (fma.f64 (.f64 #s(literal -1/8 binary64) (.f64 x x)) (.f64 #s(literal -1/24 binary64) (pow.f64 x #s(literal 3 binary64))) (.f64 #s(literal -1/768 binary64) (pow.f64 x #s(literal 5 binary64)))) (pow.f64 y #s(literal 4 binary64))) (.f64 (/.f64 #s(literal -1/16 binary64) y) (/.f64 (pow.f64 x #s(literal 3 binary64)) y)))) (neg.f64 y)))
#s(approx (tan (/ x (+ y y))) #s(hole binary64 (* -1 (/ (- (+ (* -1/2 x) (+ (* -1/3840 (/ (pow x 5) (pow y 4))) (+ (* 1/645120 (/ (pow x 7) (pow y 6))) (* 1/48 (/ (pow x 3) (pow y 2)))))) (+ (* -1/8 (/ (* (pow x 2) (- (* -1/3840 (pow x 5)) (+ (* -1/8 (* (pow x 2) (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3))))) (* -1/768 (pow x 5))))) (pow y 6))) (+ (* -1/8 (/ (* (pow x 2) (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3)))) (pow y 4))) (+ (* -1/768 (/ (pow x 5) (pow y 4))) (+ (* 1/92160 (/ (pow x 7) (pow y 6))) (+ (* 1/384 (/ (* (pow x 4) (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3)))) (pow y 6))) (* 1/16 (/ (pow x 3) (pow y 2))))))))) y))))
#s(approx (tan (/ x (+ y y))) (/.f64 (-.f64 (fma.f64 #s(literal -1/2 binary64) x (fma.f64 #s(literal 1/645120 binary64) (/.f64 (pow.f64 x #s(literal 7 binary64)) (pow.f64 y #s(literal 6 binary64))) (fma.f64 (/.f64 #s(literal 1/48 binary64) y) (/.f64 (pow.f64 x #s(literal 3 binary64)) y) (/.f64 (.f64 #s(literal -1/3840 binary64) (pow.f64 x #s(literal 5 binary64))) (pow.f64 y #s(literal 4 binary64)))))) (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 #s(literal -1/24 binary64) (pow.f64 x #s(literal 3 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) (+.f64 (/.f64 (fma.f64 (.f64 #s(literal -1/8 binary64) (.f64 x x)) (.f64 #s(literal -1/24 binary64) (pow.f64 x #s(literal 3 binary64))) (.f64 #s(literal -1/768 binary64) (pow.f64 x #s(literal 5 binary64)))) (pow.f64 y #s(literal 4 binary64))) (-.f64 (/.f64 (fma.f64 (.f64 #s(literal 1/384 binary64) (pow.f64 x #s(literal 4 binary64))) (.f64 #s(literal -1/24 binary64) (pow.f64 x #s(literal 3 binary64))) (.f64 #s(literal 1/92160 binary64) (pow.f64 x #s(literal 7 binary64)))) (pow.f64 y #s(literal 6 binary64))) (.f64 (/.f64 #s(literal -1/16 binary64) y) (/.f64 (pow.f64 x #s(literal 3 binary64)) y)))))) (neg.f64 y)))
#s(approx (/ (sin (/ x y)) (* (sin (* (/ 1/2 y) x)) (+ (cos (/ x y)) 1))) #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)) (* (sin (* (/ 1/2 y) x)) (+ (cos (/ x y)) 1))) (+.f64 (fma.f64 (/.f64 #s(literal -1/6 binary64) y) (/.f64 (.f64 x x) y) #s(literal 1 binary64)) (.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) x) (/.f64 #s(literal 7/24 binary64) (*.f64 y y)))))
#s(approx (/ (sin (/ x y)) (* (sin (* (/ 1/2 y) x)) (+ (cos (/ x y)) 1))) #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)) (* (sin (* (/ 1/2 y) x)) (+ (cos (/ x y)) 1))) (-.f64 (fma.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) #s(literal 1/120 binary64) (fma.f64 (/.f64 #s(literal -1/6 binary64) y) (/.f64 (.f64 x x) y) #s(literal 1 binary64))) (-.f64 (/.f64 (fma.f64 #s(literal -1 binary64) (.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 x x) (/.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))) (neg.f64 (.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal -61/1920 binary64)))) (.f64 (pow.f64 y #s(literal 4 binary64)) x)) (.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) x) (/.f64 #s(literal 7/24 binary64) (*.f64 y y))))))
#s(approx (/ (sin (/ x y)) (* (sin (* (/ 1/2 y) x)) (+ (cos (/ x y)) 1))) #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)) (* (sin (* (/ 1/2 y) x)) (+ (cos (/ x y)) 1))) (-.f64 (-.f64 (+.f64 (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)))) (fma.f64 (/.f64 #s(literal -1/6 binary64) y) (/.f64 (.f64 x x) y) #s(literal 1 binary64))) (neg.f64 (fma.f64 (/.f64 (.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal -61/1920 binary64)) (pow.f64 y #s(literal 6 binary64))) (/.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 x x) (/.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 7/24 binary64)) x)) x) (/.f64 (.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 x x) (/.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))))) (fma.f64 #s(literal -1 binary64) (fma.f64 (/.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/120 binary64) (.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 x x) (/.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 x #s(literal 5 binary64)) #s(literal -61/1920 binary64))) x))) x) (/.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 7/24 binary64)) (pow.f64 y #s(literal 6 binary64))) (/.f64 (/.f64 (.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal -61/1920 binary64)) x) (pow.f64 y #s(literal 4 binary64)))) (neg.f64 (fma.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) x) (/.f64 #s(literal 7/24 binary64) (.f64 y y)) (/.f64 (/.f64 (fma.f64 #s(literal 1/322560 binary64) (pow.f64 x #s(literal 7 binary64)) (*.f64 (pow.f64 x #s(literal 7 binary64)) #s(literal 13/7680 binary64))) x) (pow.f64 y #s(literal 6 binary64))))))))
#s(approx (sin (/ x y)) #s(hole binary64 (* -1 (/ (+ (* -1 x) (* 1/6 (/ (pow x 3) (pow y 2)))) y))))
#s(approx (sin (/ x y)) (/.f64 (fma.f64 (/.f64 #s(literal 1/6 binary64) y) (/.f64 (pow.f64 x #s(literal 3 binary64)) y) (neg.f64 x)) (neg.f64 y)))
#s(approx (sin (/ x y)) #s(hole binary64 (* -1 (/ (+ (* -1 x) (+ (* -1/120 (/ (pow x 5) (pow y 4))) (* 1/6 (/ (pow x 3) (pow y 2))))) y))))
#s(approx (sin (/ x y)) (/.f64 (fma.f64 (/.f64 #s(literal 1/6 binary64) y) (/.f64 (pow.f64 x #s(literal 3 binary64)) y) (fma.f64 #s(literal -1/120 binary64) (/.f64 (pow.f64 x #s(literal 5 binary64)) (pow.f64 y #s(literal 4 binary64))) (neg.f64 x))) (neg.f64 y)))
#s(approx (sin (/ x y)) #s(hole binary64 (* -1 (/ (+ (* -1 x) (+ (* -1/120 (/ (pow x 5) (pow y 4))) (+ (* 1/5040 (/ (pow x 7) (pow y 6))) (* 1/6 (/ (pow x 3) (pow y 2)))))) y))))
#s(approx (sin (/ x y)) (/.f64 (fma.f64 #s(literal -1/120 binary64) (/.f64 (pow.f64 x #s(literal 5 binary64)) (pow.f64 y #s(literal 4 binary64))) (+.f64 (fma.f64 (/.f64 #s(literal 1/6 binary64) y) (/.f64 (pow.f64 x #s(literal 3 binary64)) y) (/.f64 (*.f64 #s(literal 1/5040 binary64) (pow.f64 x #s(literal 7 binary64))) (pow.f64 y #s(literal 6 binary64)))) (neg.f64 x))) (neg.f64 y)))
#s(approx (sin (/ x (+ y y))) #s(hole binary64 (* -1 (/ (+ (* -1/2 x) (* 1/48 (/ (pow x 3) (pow y 2)))) y))))
#s(approx (sin (/ x (+ y y))) (/.f64 (fma.f64 (/.f64 #s(literal 1/48 binary64) y) (/.f64 (pow.f64 x #s(literal 3 binary64)) y) (*.f64 #s(literal -1/2 binary64) x)) (neg.f64 y)))
#s(approx (sin (/ x (+ y y))) #s(hole binary64 (* -1 (/ (+ (* -1/2 x) (+ (* -1/3840 (/ (pow x 5) (pow y 4))) (* 1/48 (/ (pow x 3) (pow y 2))))) y))))
#s(approx (sin (/ x (+ y y))) (/.f64 (fma.f64 (/.f64 #s(literal 1/48 binary64) y) (/.f64 (pow.f64 x #s(literal 3 binary64)) y) (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))) (neg.f64 y)))
#s(approx (sin (/ x (+ y y))) #s(hole binary64 (* -1 (/ (+ (* -1/2 x) (+ (* -1/3840 (/ (pow x 5) (pow y 4))) (+ (* 1/645120 (/ (pow x 7) (pow y 6))) (* 1/48 (/ (pow x 3) (pow y 2)))))) y))))
#s(approx (sin (/ x (+ y y))) (/.f64 (fma.f64 #s(literal -1/2 binary64) x (fma.f64 #s(literal 1/645120 binary64) (/.f64 (pow.f64 x #s(literal 7 binary64)) (pow.f64 y #s(literal 6 binary64))) (fma.f64 (/.f64 #s(literal 1/48 binary64) y) (/.f64 (pow.f64 x #s(literal 3 binary64)) y) (/.f64 (*.f64 #s(literal -1/3840 binary64) (pow.f64 x #s(literal 5 binary64))) (pow.f64 y #s(literal 4 binary64)))))) (neg.f64 y)))
#s(approx (sin (* (/ 1/2 y) x)) #s(hole binary64 (* -1 (/ (+ (* -1/2 x) (* 1/48 (/ (pow x 3) (pow y 2)))) y))))
#s(approx (sin (* (/ 1/2 y) x)) (/.f64 (fma.f64 (/.f64 #s(literal 1/48 binary64) y) (/.f64 (pow.f64 x #s(literal 3 binary64)) y) (*.f64 #s(literal -1/2 binary64) x)) (neg.f64 y)))
#s(approx (sin (* (/ 1/2 y) x)) #s(hole binary64 (* -1 (/ (+ (* -1/2 x) (+ (* -1/3840 (/ (pow x 5) (pow y 4))) (* 1/48 (/ (pow x 3) (pow y 2))))) y))))
#s(approx (sin (* (/ 1/2 y) x)) (/.f64 (fma.f64 (/.f64 #s(literal 1/48 binary64) y) (/.f64 (pow.f64 x #s(literal 3 binary64)) y) (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))) (neg.f64 y)))
#s(approx (sin (* (/ 1/2 y) x)) #s(hole binary64 (* -1 (/ (+ (* -1/2 x) (+ (* -1/3840 (/ (pow x 5) (pow y 4))) (+ (* 1/645120 (/ (pow x 7) (pow y 6))) (* 1/48 (/ (pow x 3) (pow y 2)))))) y))))
#s(approx (sin (* (/ 1/2 y) x)) (/.f64 (fma.f64 #s(literal -1/2 binary64) x (fma.f64 #s(literal 1/645120 binary64) (/.f64 (pow.f64 x #s(literal 7 binary64)) (pow.f64 y #s(literal 6 binary64))) (fma.f64 (/.f64 #s(literal 1/48 binary64) y) (/.f64 (pow.f64 x #s(literal 3 binary64)) y) (/.f64 (*.f64 #s(literal -1/3840 binary64) (pow.f64 x #s(literal 5 binary64))) (pow.f64 y #s(literal 4 binary64)))))) (neg.f64 y)))

rewrite54.0ms (0.9%)

Memory

-9.9MiB live, 34.8MiB allocated; 9ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	46	243
0	73	234
0	231	234

Stop Event

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

Counts

23 → 63

Calls

Call 1

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

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

eval60.0ms (1%)

Memory: -35.9MiB live, 39.6MiB allocated; 17ms collecting garbage
Compiler: Compiled 8 798 to 1 104 computations (87.5% saved)

prune42.0ms (0.7%)

Memory

12.9MiB live, 60.3MiB allocated; 2ms collecting garbage

Pruning

29 alts after pruning (23 fresh and 6 done)

	Pruned	Kept	Total
New	192	9	201
Fresh	1	14	15
Picked	2	3	5
Done	0	3	3
Total	195	29	224

Accuracy

62.9%

Counts

224 → 29

Alt Table

Click to see full alt table

Status	Accuracy	Program
	8.1%	(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x y))) (sin.f64 (/.f64 x y))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
	8.2%	(/.f64 (/.f64 (+.f64 (tan.f64 (/.f64 x (.f64 #s(literal 2 binary64) y))) (tan.f64 (PI.f64))) (-.f64 #s(literal 1 binary64) (.f64 (tan.f64 (/.f64 x (.f64 #s(literal 2 binary64) y))) (tan.f64 (PI.f64))))) (sin.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))))
	43.6%	(/.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)))))
	44.5%	(/.f64 (/.f64 (neg.f64 (sin.f64 (/.f64 x (.f64 #s(literal 2 binary64) y)))) (cos.f64 (+.f64 (PI.f64) (/.f64 x (.f64 #s(literal 2 binary64) y))))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
	6.2%	(/.f64 (tan.f64 (/.f64 (-.f64 (pow.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64)) #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)))))
	19.8%	(/.f64 (tan.f64 (/.f64 x (/.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (fma.f64 y y (-.f64 (.f64 y y) (.f64 y y)))))) #s(approx (sin (/ x (* y 2))) (sin.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x))))
	39.3%	(/.f64 (tan.f64 (/.f64 x (+.f64 y y))) #s(approx (sin (/ x (* y 2))) (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)))
✓	43.8%	(/.f64 (tan.f64 (/.f64 x (+.f64 y y))) #s(approx (sin (/ x (* y 2))) (sin.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x))))
	8.1%	(/.f64 (tan.f64 (+.f64 (PI.f64) (/.f64 x (*.f64 #s(literal 2 binary64) y)))) (sin.f64 (/.f64 x (+.f64 y y))))
	43.9%	(/.f64 (tan.f64 #s(approx (/ x (+ y y)) (.f64 (/.f64 #s(literal 1/2 binary64) y) x))) (sin.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))))
✓	38.9%	(/.f64 #s(approx (tan (/ x (* y 2))) (*.f64 (/.f64 x y) #s(literal 1/2 binary64))) (sin.f64 (/.f64 x (+.f64 y y))))
	33.6%	(/.f64 #s(approx (tan (/ x (* y 2))) (.f64 x (/.f64 #s(literal 1/2 binary64) y))) #s(approx (sin (/ x ( y 2))) (/.f64 (fma.f64 (/.f64 #s(literal -1/48 binary64) y) (/.f64 (pow.f64 x #s(literal 3 binary64)) y) (*.f64 #s(literal 1/2 binary64) x)) y)))
	39.4%	(/.f64 #s(approx (tan (/ x (* y 2))) (.f64 x (/.f64 #s(literal 1/2 binary64) y))) #s(approx (sin (/ x ( y 2))) (sin.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x))))
	7.9%	#s(approx (/ (tan (/ x (+ y y))) (sin (/ x (* y 2)))) (/.f64 (sin.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) y) x (PI.f64))) (.f64 (sin.f64 (.f64 (/.f64 #s(literal 1/2 binary64) y) x)) (cos.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) y) x (PI.f64))))))
	44.2%	#s(approx (/ (tan (/ x (+ y y))) (sin (/ x (* y 2)))) (/.f64 (sin.f64 (/.f64 x y)) (.f64 (sin.f64 (/.f64 (.f64 #s(literal 1/2 binary64) x) y)) (+.f64 (cos.f64 (/.f64 x y)) #s(literal 1 binary64)))))
	43.5%	#s(approx (/ (tan (/ x (+ y y))) (sin (/ x (* y 2)))) (/.f64 (sin.f64 (/.f64 x y)) (.f64 (sin.f64 (.f64 (/.f64 #s(literal 1/2 binary64) y) x)) (+.f64 (sin.f64 (+.f64 (/.f64 x y) (/.f64 (PI.f64) #s(literal 2 binary64)))) #s(literal 1 binary64)))))
	56.7%	#s(approx (/ (tan (/ x (+ y y))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x))))
	52.5%	#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (fma.f64 (*.f64 (/.f64 x y) x) (/.f64 #s(literal 1/8 binary64) y) #s(literal 1 binary64)))
✓	47.3%	#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (fma.f64 (.f64 x x) (/.f64 #s(literal 1/8 binary64) (.f64 y y)) #s(literal 1 binary64)))
	55.6%	#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (sin.f64 (/.f64 (-.f64 (.f64 (.f64 #s(literal -1/2 binary64) (/.f64 x y)) (.f64 #s(literal -1/2 binary64) (/.f64 x y))) (.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64)))) (-.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y)) (/.f64 (PI.f64) #s(literal 2 binary64)))))))
	57.1%	#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 #s(literal -1/2 binary64) (-.f64 x (.f64 (PI.f64) y))) y)))))
	57.5%	#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (sin.f64 #s(approx (+ (* (/ x y) -1/2) (/ (PI) 2)) (*.f64 (neg.f64 x) (fma.f64 (/.f64 (PI.f64) x) #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) y)))))))
	57.5%	#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (sin.f64 #s(approx (+ (* (/ x y) -1/2) (/ (PI) 2)) (*.f64 #s(literal 1/2 binary64) (-.f64 (PI.f64) (/.f64 x y)))))))
	4.8%	#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (sin.f64 #s(approx (+ (* (/ x y) -1/2) (/ (PI) 2)) (*.f64 #s(literal -1/2 binary64) (/.f64 x y))))))
✓	57.0%	#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y)))))
	52.6%	#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) #s(approx (sin (+ (* (/ x y) -1/2) (/ (PI) 2))) (fma.f64 (.f64 x (/.f64 (cos.f64 (.f64 (PI.f64) #s(literal -1/2 binary64))) y)) #s(literal -1/2 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)))))))
	49.3%	#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) #s(approx (cos (* -1/2 (/ x y))) (fma.f64 (/.f64 #s(literal -1/8 binary64) y) (/.f64 (*.f64 x x) y) #s(literal 1 binary64)))))
✓	57.3%	#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(literal 1 binary64))
✓	3.1%	#s(approx (/ (tan (+ (PI) (/ x (* 2 y)))) (sin (/ x (* y 2)))) #s(literal 0 binary64))

Compiler

Compiled 1 974 to 772 computations (60.9% saved)

regimes77.0ms (1.2%)

Memory

29.3MiB live, 215.4MiB allocated; 28ms collecting garbage

Counts

46 → 2

Calls

Call 1

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

Outputs

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

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

Calls

5 calls:

16.0ms	(*.f64 y #s(literal 2 binary64))
16.0ms	x
16.0ms	(/.f64 x (*.f64 y #s(literal 2 binary64)))
14.0ms	(/.f64 (tan.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))))
12.0ms	y

Results

Accuracy	Segments	Branch
57.5%	1	`(*.f64 y #s(literal 2 binary64))`
59.8%	2	`(/.f64 x (*.f64 y #s(literal 2 binary64)))`
59.2%	2	`(/.f64 (tan.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))))`
59.3%	2	`x`
57.5%	1	`y`

Compiler

Compiled 23 to 21 computations (8.7% saved)

regimes59.0ms (0.9%)

Memory

-8.0MiB live, 39.4MiB allocated; 1ms collecting garbage

Counts

6 → 1

Calls

Call 1

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

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

Calls

5 calls:

50.0ms	x
2.0ms	y
2.0ms	(*.f64 y #s(literal 2 binary64))
2.0ms	(/.f64 x (*.f64 y #s(literal 2 binary64)))
2.0ms	(/.f64 (tan.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))))

Results

Accuracy	Segments	Branch
57.3%	1	`(*.f64 y #s(literal 2 binary64))`
57.3%	1	`y`
57.3%	1	`(/.f64 (tan.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))))`
57.3%	1	`x`
57.3%	1	`(/.f64 x (*.f64 y #s(literal 2 binary64)))`

Compiler

Compiled 23 to 21 computations (8.7% saved)

regimes6.0ms (0.1%)

Memory

11.0MiB live, 11.0MiB allocated; 0ms collecting garbage

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

Inputs
#s(approx (/ (tan (+ (PI) (/ x (* 2 y)))) (sin (/ x (* y 2)))) #s(literal 0 binary64))

Outputs
#s(approx (/ (tan (+ (PI) (/ x (* 2 y)))) (sin (/ x (* y 2)))) #s(literal 0 binary64))

Calls

5 calls:

1.0ms	(/.f64 x (*.f64 y #s(literal 2 binary64)))
1.0ms	(*.f64 y #s(literal 2 binary64))
1.0ms	x
1.0ms	y
1.0ms	(/.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
3.1%	1	`(*.f64 y #s(literal 2 binary64))`
3.1%	1	`y`
3.1%	1	`(/.f64 x (*.f64 y #s(literal 2 binary64)))`
3.1%	1	`(/.f64 (tan.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (.f64 y #s(literal 2 binary64)))))`
3.1%	1	`x`

Compiler

Compiled 23 to 21 computations (8.7% saved)

bsearch1.0ms (0%)

Memory

0.5MiB live, 0.5MiB allocated; 0ms collecting garbage

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	33308477190602.8	1148653238556306800.0

Compiler

Compiled 12 to 13 computations (-8.3% saved)

simplify65.0ms (1%)

Memory

-37.1MiB live, 59.8MiB allocated; 11ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	29	75
1	43	75
2	62	75
3	127	75
4	507	75
5	4185	75

Stop Event

1×	node limit

Calls

Call 1

Inputs

(if (<=.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))) #s(literal 50000000000000 binary64)) #s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y))))) #s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(literal 1 binary64)))

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

#s(approx (/ (tan (+ (PI) (/ x (* 2 y)))) (sin (/ x (* y 2)))) #s(literal 0 binary64))

Outputs
(if (<=.f64 (/.f64 x (.f64 y #s(literal 2 binary64))) #s(literal 50000000000000 binary64)) #s(approx (/ (tan (/ x ( y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (cos.f64 (.f64 #s(literal -1/2 binary64) (/.f64 x y))))) #s(approx (/ (tan (/ x ( y 2))) (sin (/ x (* y 2)))) #s(literal 1 binary64)))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(literal 1 binary64))
#s(approx (/ (tan (+ (PI) (/ x (* 2 y)))) (sin (/ x (* y 2)))) #s(literal 0 binary64))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(literal 0 binary64))

derivations129.0ms (2.1%)

Memory

4.9MiB live, 143.2MiB allocated; 10ms collecting garbage

Stop Event

1×

fuel

Compiler

Compiled 75 to 24 computations (68% saved)

preprocess57.0ms (0.9%)

Memory: 37.3MiB live, 92.4MiB allocated; 7ms collecting garbage
Compiler: Compiled 600 to 276 computations (54% saved)

end0.0ms (0%)

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

start0.0ms (0%)

analyze212.0ms (3.4%)

sample2.1s (33.5%)

explain184.0ms (2.9%)

preprocess230.0ms (3.7%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify142.0ms (2.3%)

localize59.0ms (0.9%)

series28.0ms (0.4%)

simplify348.0ms (5.6%)

rewrite53.0ms (0.9%)

eval14.0ms (0.2%)

prune8.0ms (0.1%)

simplify151.0ms (2.4%)

localize314.0ms (5%)

series33.0ms (0.5%)

simplify195.0ms (3.1%)

rewrite83.0ms (1.3%)

eval38.0ms (0.6%)

prune30.0ms (0.5%)

simplify220.0ms (3.5%)

localize339.0ms (5.4%)

series49.0ms (0.8%)

simplify175.0ms (2.8%)

rewrite27.0ms (0.4%)

eval32.0ms (0.5%)

prune18.0ms (0.3%)

simplify146.0ms (2.3%)

localize248.0ms (4%)

series36.0ms (0.6%)

simplify202.0ms (3.2%)

rewrite54.0ms (0.9%)

eval60.0ms (1%)

prune42.0ms (0.7%)

regimes77.0ms (1.2%)

regimes59.0ms (0.9%)

regimes6.0ms (0.1%)

bsearch1.0ms (0%)

simplify65.0ms (1%)

derivations129.0ms (2.1%)

preprocess57.0ms (0.9%)

end0.0ms (0%)

Profiling